%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP079^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:24:59 AM UTC 2026 % Result : Theorem 0.42s 0.92s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP079^1 : TPTP v9.2.1. Released v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 04:13:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.58 %----Proving TH0 % 0.42/0.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.92 % SZS status Theorem % 0.42/0.92 % SZS output start Proof % 0.42/0.92 ( % 0.42/0.92 (declare-sort tptp.set_set_set_val 0) % 0.42/0.92 (declare-sort tptp.set_val 0) % 0.42/0.92 (declare-sort tptp.set_set_val 0) % 0.42/0.92 (declare-sort tptp.val 0) % 0.42/0.92 (declare-const tptp.member_set_val (-> tptp.set_val tptp.set_set_val Bool)) % 0.42/0.92 (declare-const tptp.member_val (-> tptp.val tptp.set_val Bool)) % 0.42/0.92 (declare-const tptp.ord_less_eq_val (-> tptp.val tptp.val Bool)) % 0.42/0.92 (declare-const tptp.sup_sup_set_val (-> tptp.set_val tptp.set_val tptp.set_val)) % 0.42/0.92 (declare-const tptp.ord_less_set_set_val (-> tptp.set_set_val tptp.set_set_val Bool)) % 0.42/0.92 (declare-const tptp.refine1506227973et_val (-> (-> tptp.set_set_val tptp.set_set_val Bool) Bool)) % 0.42/0.92 (declare-const tptp.collect_set_val (-> (-> tptp.set_val Bool) tptp.set_set_val)) % 0.42/0.92 (declare-const tptp.refine16560100et_val (-> (-> (-> Bool tptp.set_val) (-> Bool tptp.set_val) Bool) Bool)) % 0.42/0.92 (declare-const tptp.p tptp.set_val) % 0.42/0.92 (declare-const tptp.refine2021912633al_val (-> tptp.val tptp.val Bool)) % 0.42/0.92 (declare-const tptp.scc tptp.set_val) % 0.42/0.92 (declare-const tptp.refine511606705et_val (-> (-> Bool tptp.set_val) (-> Bool tptp.set_val) Bool)) % 0.42/0.92 (declare-const tptp.refine67622213oc_val (-> (-> tptp.val tptp.val Bool) Bool)) % 0.42/0.92 (declare-const tptp.if_o_set_val (-> Bool (-> Bool tptp.set_val) (-> Bool tptp.set_val) Bool tptp.set_val)) % 0.42/0.92 (declare-const tptp.set_or650197513et_val (-> tptp.set_val tptp.set_set_val)) % 0.42/0.92 (declare-const tptp.order_1960465943et_val (-> (-> tptp.set_val Bool) tptp.set_val)) % 0.42/0.92 (declare-const tptp.uminus1961393973et_val (-> tptp.set_val tptp.set_val)) % 0.42/0.92 (declare-const tptp.set_or18208019st_val (-> tptp.val tptp.val tptp.set_val)) % 0.42/0.92 (declare-const tptp.collect_val (-> (-> tptp.val Bool) tptp.set_val)) % 0.42/0.92 (declare-const tptp.set_ord_atMost_val (-> tptp.val tptp.set_val)) % 0.42/0.92 (declare-const tptp.order_Greatest_val (-> (-> tptp.val Bool) tptp.val)) % 0.42/0.92 (declare-const tptp.set_or2126567818an_val (-> tptp.val tptp.val tptp.set_val)) % 0.42/0.92 (declare-const tptp.if_set_val (-> Bool tptp.set_val tptp.set_val tptp.set_val)) % 0.42/0.92 (declare-const tptp.set_or1554624499et_val (-> tptp.set_val tptp.set_val tptp.set_set_val)) % 0.42/0.92 (declare-const tptp.order_985126002et_val (-> (-> (-> Bool tptp.set_val) Bool) Bool tptp.set_val)) % 0.42/0.92 (declare-const tptp.order_544136439et_val (-> (-> tptp.set_set_val Bool) tptp.set_set_val)) % 0.42/0.92 (declare-const tptp.ord_le1135847966et_val (-> tptp.set_set_set_val tptp.set_set_set_val Bool)) % 0.42/0.92 (declare-const tptp.refine2057434761et_val (-> (-> tptp.set_val tptp.set_val) Bool)) % 0.42/0.92 (declare-const tptp.order_99134233et_val (-> (-> tptp.val tptp.set_val) Bool)) % 0.42/0.92 (declare-const tptp.if_val (-> Bool tptp.val tptp.val tptp.val)) % 0.42/0.92 (declare-const tptp.set_ord_lessThan_val (-> tptp.val tptp.set_val)) % 0.42/0.92 (declare-const tptp.order_1205732848et_val (-> (-> tptp.val Bool tptp.set_val) Bool)) % 0.42/0.92 (declare-const tptp.order_1139042361al_val (-> (-> tptp.val tptp.val) Bool)) % 0.42/0.92 (declare-const tptp.order_68692473et_val (-> (-> tptp.val tptp.set_set_val) Bool)) % 0.42/0.92 (declare-const tptp.set_or1288365508an_val (-> tptp.val tptp.set_val)) % 0.42/0.92 (declare-const tptp.ord_less_val (-> tptp.val tptp.val Bool)) % 0.42/0.92 (declare-const tptp.refine1593386065et_val (-> (-> Bool tptp.set_val) (-> Bool tptp.set_val) Bool)) % 0.42/0.92 (declare-const tptp.refine403244856MP_val (-> tptp.val tptp.val Bool)) % 0.42/0.92 (declare-const tptp.refine1908789496et_val (-> tptp.set_set_val tptp.set_set_val Bool)) % 0.42/0.92 (declare-const tptp.refine1034950713et_val (-> tptp.set_set_val tptp.set_set_val Bool)) % 0.42/0.92 (declare-const tptp.refine1893322264et_val (-> tptp.set_val tptp.set_val Bool)) % 0.42/0.92 (declare-const tptp.refine654574649et_val (-> tptp.set_val tptp.set_val Bool)) % 0.42/0.92 (declare-const tptp.set_or1337784553et_val (-> tptp.set_set_val tptp.set_set_set_val)) % 0.42/0.92 (declare-const tptp.set_ord_atLeast_val (-> tptp.val tptp.set_val)) % 0.42/0.92 (declare-const tptp.if_set_set_val (-> Bool tptp.set_set_val tptp.set_set_val tptp.set_set_val)) % 0.42/0.92 (declare-const tptp.set_or867701765et_val (-> tptp.set_val tptp.set_set_val)) % 0.42/0.92 (define tptp.ord_le1742111550et_val () (let ((_let_1 (@var "B2" tptp.set_set_val))) (let ((_let_2 (@var "X3" tptp.set_val))) (let ((_let_3 (_ tptp.member_set_val _let_2))) (let ((_let_4 (@var "A2" tptp.set_set_val))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.42/0.92 (define tptp.ord_less_eq_set_val () (let ((_let_1 (@var "B2" tptp.set_val))) (let ((_let_2 (@var "X3" tptp.val))) (let ((_let_3 (_ tptp.member_val _let_2))) (let ((_let_4 (@var "A2" tptp.set_val))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.42/0.92 (define tptp.ord_le994826475et_val () (let ((_let_1 (@var "X3" Bool))) (let ((_let_2 (@var "G2" (-> Bool tptp.set_val)))) (let ((_let_3 (@var "F2" (-> Bool tptp.set_val)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (_ (_ tptp.ord_less_eq_set_val (_ _let_3 _let_1)) (_ _let_2 _let_1)))))))) % 0.42/0.92 (define tptp.ord_le1441829300et_val () (let ((_let_1 (@var "Y6" (-> Bool Bool tptp.set_val)))) (let ((_let_2 (@var "X4" (-> Bool Bool tptp.set_val)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_le994826475et_val (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_le994826475et_val (_ _let_2 true)) (_ _let_1 true))))))) % 0.42/0.92 (define tptp.ord_less_eq_o_val () (let ((_let_1 (@var "Y6" (-> Bool tptp.val)))) (let ((_let_2 (@var "X4" (-> Bool tptp.val)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_val (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_less_eq_val (_ _let_2 true)) (_ _let_1 true))))))) % 0.42/0.92 (define tptp.ord_le936627147et_val () (let ((_let_1 (@var "Y6" (-> Bool tptp.set_set_val)))) (let ((_let_2 (@var "X4" (-> Bool tptp.set_set_val)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_le1742111550et_val (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_le1742111550et_val (_ _let_2 true)) (_ _let_1 true))))))) % 0.42/0.92 (define tptp.order_1719375026et_val () (let ((_let_1 (@var "X3" tptp.set_val))) (let ((_let_2 (@var "F2" (-> tptp.set_val tptp.set_val)))) (let ((_let_3 (@var "Y4" tptp.set_val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_less_eq_set_val _let_1) _let_3) (_ (_ tptp.ord_less_eq_set_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_1689798834al_val () (let ((_let_1 (@var "X3" tptp.val))) (let ((_let_2 (@var "F2" (-> tptp.val tptp.val)))) (let ((_let_3 (@var "Y4" tptp.val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_less_eq_val _let_1) _let_3) (_ (_ tptp.ord_less_eq_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_1375876562al_val () (let ((_let_1 (@var "X3" tptp.set_val))) (let ((_let_2 (@var "F2" (-> tptp.set_val tptp.val)))) (let ((_let_3 (@var "Y4" tptp.set_val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_less_eq_set_val _let_1) _let_3) (_ (_ tptp.ord_less_eq_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_1484138386et_val () (let ((_let_1 (@var "X3" tptp.val))) (let ((_let_2 (@var "F2" (-> tptp.val tptp.set_val)))) (let ((_let_3 (@var "Y4" tptp.val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_less_eq_val _let_1) _let_3) (_ (_ tptp.ord_less_eq_set_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_1945059954et_val () (let ((_let_1 (@var "X3" tptp.val))) (let ((_let_2 (@var "F2" (-> tptp.val tptp.set_set_val)))) (let ((_let_3 (@var "Y4" tptp.val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_less_eq_val _let_1) _let_3) (_ (_ tptp.ord_le1742111550et_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_1520822002al_val () (let ((_let_1 (@var "X3" tptp.set_set_val))) (let ((_let_2 (@var "F2" (-> tptp.set_set_val tptp.val)))) (let ((_let_3 (@var "Y4" tptp.set_set_val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_le1742111550et_val _let_1) _let_3) (_ (_ tptp.ord_less_eq_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_1957703570et_val () (let ((_let_1 (@var "X3" tptp.set_val))) (let ((_let_2 (@var "F2" (-> tptp.set_val tptp.set_set_val)))) (let ((_let_3 (@var "Y4" tptp.set_val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_less_eq_set_val _let_1) _let_3) (_ (_ tptp.ord_le1742111550et_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_23236447al_val () (let ((_let_1 (@var "X3" (-> Bool tptp.set_val)))) (let ((_let_2 (@var "F2" (-> (-> Bool tptp.set_val) tptp.val)))) (let ((_let_3 (@var "Y4" (-> Bool tptp.set_val)))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_le994826475et_val _let_1) _let_3) (_ (_ tptp.ord_less_eq_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_255079095et_val () (let ((_let_1 (@var "X3" tptp.val))) (let ((_let_2 (@var "F2" (-> tptp.val Bool tptp.set_val)))) (let ((_let_3 (@var "Y4" tptp.val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_less_eq_val _let_1) _let_3) (_ (_ tptp.ord_le994826475et_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.order_650823122et_val () (let ((_let_1 (@var "X3" tptp.set_set_val))) (let ((_let_2 (@var "F2" (-> tptp.set_set_val tptp.set_val)))) (let ((_let_3 (@var "Y4" tptp.set_set_val))) (lambda (@list _let_2) (forall (@list _let_1 _let_3) (=> (_ (_ tptp.ord_le1742111550et_val _let_1) _let_3) (_ (_ tptp.ord_less_eq_set_val (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.42/0.92 (define tptp.refine51544255et_val () (let ((_let_1 (@var "A4" (-> Bool tptp.set_val)))) (let ((_let_2 (@var "C4" tptp.set_val))) (let ((_let_3 (@var "Alpha2" (-> tptp.set_val Bool tptp.set_val)))) (let ((_let_4 (@var "Gamma2" (-> (-> Bool tptp.set_val) tptp.set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_less_eq_set_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_le994826475et_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine1315043946et_val () (let ((_let_1 (@var "A4" tptp.set_set_val))) (let ((_let_2 (@var "C4" tptp.set_val))) (let ((_let_3 (@var "Alpha2" (-> tptp.set_val tptp.set_set_val)))) (let ((_let_4 (@var "Gamma2" (-> tptp.set_set_val tptp.set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_less_eq_set_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_le1742111550et_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine1948536167et_val () (let ((_let_1 (@var "A4" tptp.set_val))) (let ((_let_2 (@var "C4" (-> Bool tptp.set_val)))) (let ((_let_3 (@var "Alpha2" (-> (-> Bool tptp.set_val) tptp.set_val)))) (let ((_let_4 (@var "Gamma2" (-> tptp.set_val Bool tptp.set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_le994826475et_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_less_eq_set_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine1924899106et_val () (let ((_let_1 (@var "A4" (-> Bool tptp.set_val)))) (let ((_let_2 (@var "C4" (-> Bool tptp.set_val)))) (let ((_let_3 (@var "Alpha2" (-> (-> Bool tptp.set_val) Bool tptp.set_val)))) (let ((_let_4 (@var "Gamma2" (-> (-> Bool tptp.set_val) Bool tptp.set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_le994826475et_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_le994826475et_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine1169396807et_val () (let ((_let_1 (@var "A4" tptp.set_set_val))) (let ((_let_2 (@var "C4" (-> Bool tptp.set_val)))) (let ((_let_3 (@var "Alpha2" (-> (-> Bool tptp.set_val) tptp.set_set_val)))) (let ((_let_4 (@var "Gamma2" (-> tptp.set_set_val Bool tptp.set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_le994826475et_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_le1742111550et_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine8163498et_val () (let ((_let_1 (@var "A4" tptp.set_val))) (let ((_let_2 (@var "C4" tptp.set_set_val))) (let ((_let_3 (@var "Alpha2" (-> tptp.set_set_val tptp.set_val)))) (let ((_let_4 (@var "Gamma2" (-> tptp.set_val tptp.set_set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_le1742111550et_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_less_eq_set_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine86398879et_val () (let ((_let_1 (@var "A4" (-> Bool tptp.set_val)))) (let ((_let_2 (@var "C4" tptp.set_set_val))) (let ((_let_3 (@var "Alpha2" (-> tptp.set_set_val Bool tptp.set_val)))) (let ((_let_4 (@var "Gamma2" (-> (-> Bool tptp.set_val) tptp.set_set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_le1742111550et_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_le994826475et_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine855985034et_val () (let ((_let_1 (@var "A4" tptp.set_set_val))) (let ((_let_2 (@var "C4" tptp.set_set_val))) (let ((_let_3 (@var "Alpha2" (-> tptp.set_set_val tptp.set_set_val)))) (let ((_let_4 (@var "Gamma2" (-> tptp.set_set_val tptp.set_set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_le1742111550et_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_le1742111550et_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine1929691018et_val () (let ((_let_1 (@var "A4" tptp.set_val))) (let ((_let_2 (@var "C4" tptp.set_val))) (let ((_let_3 (@var "Alpha2" (-> tptp.set_val tptp.set_val)))) (let ((_let_4 (@var "Gamma2" (-> tptp.set_val tptp.set_val)))) (lambda (@list _let_3 _let_4) (forall (@list _let_2 _let_1) (= (_ (_ tptp.ord_less_eq_set_val _let_2) (_ _let_4 _let_1)) (_ (_ tptp.ord_less_eq_set_val (_ _let_3 _let_2)) _let_1))))))))) % 0.42/0.92 (define tptp.refine275900453et_val () (let ((_let_1 (@var "X3" tptp.set_val))) (let ((_let_2 (@var "Le" (-> tptp.set_val tptp.set_val Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.42/0.92 (define tptp.ord_less_set_val () (let ((_let_1 (@var "Y4" tptp.set_val))) (let ((_let_2 (@var "X3" tptp.set_val))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_set_val _let_2) _let_1) (not (= _let_2 _let_1))))))) % 0.42/0.92 (define @t1 () (@var "X" tptp.val)) % 0.42/0.92 (define @t2 () (_ tptp.member_val @t1)) % 0.42/0.92 (define @t3 () (_ @t2 tptp.p)) % 0.42/0.92 (define @t4 () (_ @t2 tptp.scc)) % 0.42/0.92 (define @t5 () (@list @t1)) % 0.42/0.92 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.42/0.92 (define @t7 () (@var "B" tptp.set_set_val)) % 0.42/0.92 (define @t8 () (@var "A" tptp.set_set_val)) % 0.42/0.92 (define @t9 () (_ tptp.ord_le1742111550et_val @t8)) % 0.42/0.92 (define @t10 () (_ @t9 @t7)) % 0.42/0.92 (define @t11 () (@var "X2" tptp.set_val)) % 0.42/0.92 (define @t12 () (_ tptp.member_set_val @t11)) % 0.42/0.92 (define @t13 () (@list @t11)) % 0.42/0.92 (define @t14 () (@list @t8 @t7)) % 0.42/0.92 (define @t15 () (@var "B" tptp.set_val)) % 0.42/0.92 (define @t16 () (@var "A" tptp.set_val)) % 0.42/0.92 (define @t17 () (_ tptp.ord_less_eq_set_val @t16)) % 0.42/0.92 (define @t18 () (_ @t17 @t15)) % 0.42/0.92 (define @t19 () (@var "X2" tptp.val)) % 0.42/0.92 (define @t20 () (_ tptp.member_val @t19)) % 0.42/0.92 (define @t21 () (@list @t19)) % 0.42/0.92 (define @t22 () (@list @t16 @t15)) % 0.42/0.92 (define @t23 () (= @t8 @t7)) % 0.42/0.92 (define @t24 () (_ tptp.ord_le1742111550et_val @t7)) % 0.42/0.92 (define @t25 () (_ @t24 @t8)) % 0.42/0.92 (define @t26 () (= @t16 @t15)) % 0.42/0.92 (define @t27 () (_ tptp.ord_less_eq_set_val @t15)) % 0.42/0.92 (define @t28 () (_ @t27 @t16)) % 0.42/0.92 (define @t29 () (@var "X" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t30 () (_ tptp.ord_le994826475et_val @t29)) % 0.42/0.92 (define @t31 () (_ tptp.ord_less_eq_val @t1)) % 0.42/0.92 (define @t32 () (@var "X" tptp.set_set_val)) % 0.42/0.92 (define @t33 () (_ tptp.ord_le1742111550et_val @t32)) % 0.42/0.92 (define @t34 () (@var "X" tptp.set_val)) % 0.42/0.92 (define @t35 () (_ tptp.ord_less_eq_set_val @t34)) % 0.42/0.92 (define @t36 () (@var "R2" tptp.set_set_val)) % 0.42/0.92 (define @t37 () (@var "R" tptp.set_set_val)) % 0.42/0.92 (define @t38 () (_ (_ tptp.ord_le1742111550et_val @t37) @t36)) % 0.42/0.92 (define @t39 () (@var "R2" tptp.set_val)) % 0.42/0.92 (define @t40 () (@var "R" tptp.set_val)) % 0.42/0.92 (define @t41 () (_ (_ tptp.ord_less_eq_set_val @t40) @t39)) % 0.42/0.92 (define @t42 () (_ tptp.member_set_val @t34)) % 0.42/0.92 (define @t43 () (@var "C" tptp.set_val)) % 0.42/0.92 (define @t44 () (_ tptp.member_set_val @t43)) % 0.42/0.92 (define @t45 () (@var "C" tptp.val)) % 0.42/0.92 (define @t46 () (_ tptp.member_val @t45)) % 0.42/0.92 (define @t47 () (_ @t46 @t15)) % 0.42/0.92 (define @t48 () (_ @t46 @t16)) % 0.42/0.92 (define @t49 () (=> @t48 @t47)) % 0.42/0.92 (define @t50 () (@list @t16 @t15 @t45)) % 0.42/0.92 (define @t51 () (@var "B2" tptp.set_set_val)) % 0.42/0.92 (define @t52 () (@var "T" tptp.set_val)) % 0.42/0.92 (define @t53 () (_ tptp.member_set_val @t52)) % 0.42/0.92 (define @t54 () (@var "A2" tptp.set_set_val)) % 0.42/0.92 (define @t55 () (@list @t54 @t51)) % 0.42/0.92 (define @t56 () (@var "B2" tptp.set_val)) % 0.42/0.92 (define @t57 () (@var "T" tptp.val)) % 0.42/0.92 (define @t58 () (_ tptp.member_val @t57)) % 0.42/0.92 (define @t59 () (@var "A2" tptp.set_val)) % 0.42/0.92 (define @t60 () (@list @t59 @t56)) % 0.42/0.92 (define @t61 () (@list @t8)) % 0.42/0.92 (define @t62 () (@list @t16)) % 0.42/0.92 (define @t63 () (@var "E2" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t64 () (@var "T3" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t65 () (@var "B3" Bool)) % 0.42/0.92 (define @t66 () (_ tptp.if_o_set_val @t65)) % 0.42/0.92 (define @t67 () (@var "E" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t68 () (@var "T2" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t69 () (_ tptp.ord_le994826475et_val (_ (_ @t66 @t68) @t67))) % 0.42/0.92 (define @t70 () (_ tptp.ord_le994826475et_val @t67)) % 0.42/0.92 (define @t71 () (_ tptp.ord_le994826475et_val @t68)) % 0.42/0.92 (define @t72 () (@var "E2" tptp.val)) % 0.42/0.92 (define @t73 () (@var "T3" tptp.val)) % 0.42/0.92 (define @t74 () (_ tptp.if_val @t65)) % 0.42/0.92 (define @t75 () (@var "E" tptp.val)) % 0.42/0.92 (define @t76 () (@var "T2" tptp.val)) % 0.42/0.92 (define @t77 () (_ tptp.ord_less_eq_val (_ (_ @t74 @t76) @t75))) % 0.42/0.92 (define @t78 () (_ tptp.ord_less_eq_val @t75)) % 0.42/0.92 (define @t79 () (_ tptp.ord_less_eq_val @t76)) % 0.42/0.92 (define @t80 () (@var "E2" tptp.set_set_val)) % 0.42/0.92 (define @t81 () (@var "T3" tptp.set_set_val)) % 0.42/0.92 (define @t82 () (_ tptp.if_set_set_val @t65)) % 0.42/0.92 (define @t83 () (@var "E" tptp.set_set_val)) % 0.42/0.92 (define @t84 () (@var "T2" tptp.set_set_val)) % 0.42/0.92 (define @t85 () (_ tptp.ord_le1742111550et_val (_ (_ @t82 @t84) @t83))) % 0.42/0.92 (define @t86 () (_ tptp.ord_le1742111550et_val @t83)) % 0.42/0.92 (define @t87 () (_ tptp.ord_le1742111550et_val @t84)) % 0.42/0.92 (define @t88 () (@var "E2" tptp.set_val)) % 0.42/0.92 (define @t89 () (@var "T3" tptp.set_val)) % 0.42/0.92 (define @t90 () (_ tptp.if_set_val @t65)) % 0.42/0.92 (define @t91 () (_ (_ @t90 @t89) @t88)) % 0.42/0.92 (define @t92 () (@var "E" tptp.set_val)) % 0.42/0.92 (define @t93 () (@var "T2" tptp.set_val)) % 0.42/0.92 (define @t94 () (_ (_ @t90 @t93) @t92)) % 0.42/0.92 (define @t95 () (_ tptp.ord_less_eq_set_val @t94)) % 0.42/0.92 (define @t96 () (_ tptp.ord_less_eq_set_val @t92)) % 0.42/0.92 (define @t97 () (_ tptp.ord_less_eq_set_val @t93)) % 0.42/0.92 (define @t98 () (@var "X3" tptp.set_val)) % 0.42/0.92 (define @t99 () (@var "Q" (-> tptp.set_val Bool))) % 0.42/0.92 (define @t100 () (@var "P" (-> tptp.set_val Bool))) % 0.42/0.92 (define @t101 () (_ @t100 @t98)) % 0.42/0.92 (define @t102 () (@list @t98)) % 0.42/0.92 (define @t103 () (_ tptp.collect_set_val @t100)) % 0.42/0.92 (define @t104 () (_ (_ tptp.ord_le1742111550et_val @t103) (_ tptp.collect_set_val @t99))) % 0.42/0.92 (define @t105 () (@list @t100 @t99)) % 0.42/0.92 (define @t106 () (@var "X3" tptp.val)) % 0.42/0.92 (define @t107 () (@var "Q" (-> tptp.val Bool))) % 0.42/0.92 (define @t108 () (@var "P" (-> tptp.val Bool))) % 0.42/0.92 (define @t109 () (_ @t108 @t106)) % 0.42/0.92 (define @t110 () (@list @t106)) % 0.42/0.92 (define @t111 () (_ tptp.collect_val @t107)) % 0.42/0.92 (define @t112 () (_ tptp.collect_val @t108)) % 0.42/0.92 (define @t113 () (_ (_ tptp.ord_less_eq_set_val @t112) @t111)) % 0.42/0.92 (define @t114 () (@list @t108 @t107)) % 0.42/0.92 (define @t115 () (@var "Z" tptp.set_set_val)) % 0.42/0.92 (define @t116 () (@var "Y" tptp.set_set_val)) % 0.42/0.92 (define @t117 () (lambda (@list @t116 @t115) (= @t116 @t115))) % 0.42/0.92 (define @t118 () (_ (_ tptp.ord_less_eq_set_val @t56) @t59)) % 0.42/0.92 (define @t119 () (_ (_ tptp.ord_less_eq_set_val @t59) @t56)) % 0.42/0.92 (define @t120 () (@var "Z" tptp.set_val)) % 0.42/0.92 (define @t121 () (@var "Y" tptp.set_val)) % 0.42/0.92 (define @t122 () (lambda (@list @t121 @t120) (= @t121 @t120))) % 0.42/0.92 (define @t123 () (@var "C2" tptp.set_set_val)) % 0.42/0.92 (define @t124 () (@var "C2" tptp.set_val)) % 0.42/0.92 (define @t125 () (_ @t17 @t124)) % 0.42/0.92 (define @t126 () (_ @t27 @t124)) % 0.42/0.92 (define @t127 () (@list @t16 @t15 @t124)) % 0.42/0.92 (define @t128 () (_ @t99 @t11)) % 0.42/0.92 (define @t129 () (_ @t100 @t11)) % 0.42/0.92 (define @t130 () (_ @t107 @t19)) % 0.42/0.92 (define @t131 () (_ @t108 @t19)) % 0.42/0.92 (define @t132 () (@var "S" tptp.set_set_val)) % 0.42/0.92 (define @t133 () (_ tptp.member_set_val @t98)) % 0.42/0.92 (define @t134 () (@var "S" tptp.set_val)) % 0.42/0.92 (define @t135 () (_ tptp.member_val @t106)) % 0.42/0.92 (define @t136 () (@var "B3" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t137 () (@var "A3" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t138 () (= @t137 @t136)) % 0.42/0.92 (define @t139 () (_ tptp.ord_le994826475et_val @t137)) % 0.42/0.92 (define @t140 () (_ @t139 @t136)) % 0.42/0.92 (define @t141 () (_ tptp.ord_le994826475et_val @t136)) % 0.42/0.92 (define @t142 () (_ @t141 @t137)) % 0.42/0.92 (define @t143 () (@var "B3" tptp.val)) % 0.42/0.92 (define @t144 () (@var "A3" tptp.val)) % 0.42/0.92 (define @t145 () (= @t144 @t143)) % 0.42/0.92 (define @t146 () (_ tptp.ord_less_eq_val @t144)) % 0.42/0.92 (define @t147 () (_ @t146 @t143)) % 0.42/0.92 (define @t148 () (_ tptp.ord_less_eq_val @t143)) % 0.42/0.92 (define @t149 () (_ @t148 @t144)) % 0.42/0.92 (define @t150 () (@var "B3" tptp.set_set_val)) % 0.42/0.92 (define @t151 () (@var "A3" tptp.set_set_val)) % 0.42/0.92 (define @t152 () (= @t151 @t150)) % 0.42/0.92 (define @t153 () (_ tptp.ord_le1742111550et_val @t151)) % 0.42/0.92 (define @t154 () (_ @t153 @t150)) % 0.42/0.92 (define @t155 () (_ tptp.ord_le1742111550et_val @t150)) % 0.42/0.92 (define @t156 () (_ @t155 @t151)) % 0.42/0.92 (define @t157 () (@var "B3" tptp.set_val)) % 0.42/0.92 (define @t158 () (@var "A3" tptp.set_val)) % 0.42/0.92 (define @t159 () (= @t158 @t157)) % 0.42/0.92 (define @t160 () (_ tptp.ord_less_eq_set_val @t158)) % 0.42/0.92 (define @t161 () (_ @t160 @t157)) % 0.42/0.92 (define @t162 () (_ tptp.ord_less_eq_set_val @t157)) % 0.42/0.92 (define @t163 () (_ @t162 @t158)) % 0.42/0.92 (define @t164 () (@list @t157 @t158)) % 0.42/0.92 (define @t165 () (@var "B4" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t166 () (@var "A4" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t167 () (_ (_ tptp.ord_le994826475et_val @t166) @t165)) % 0.42/0.92 (define @t168 () (_ (_ tptp.ord_le994826475et_val @t165) @t166)) % 0.42/0.92 (define @t169 () (@list @t166 @t165)) % 0.42/0.92 (define @t170 () (@var "Z" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t171 () (@var "Y" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t172 () (lambda (@list @t171 @t170) (= @t171 @t170))) % 0.42/0.92 (define @t173 () (@var "B4" tptp.val)) % 0.42/0.92 (define @t174 () (@var "A4" tptp.val)) % 0.42/0.92 (define @t175 () (_ (_ tptp.ord_less_eq_val @t174) @t173)) % 0.42/0.92 (define @t176 () (_ (_ tptp.ord_less_eq_val @t173) @t174)) % 0.42/0.92 (define @t177 () (@list @t174 @t173)) % 0.42/0.92 (define @t178 () (@var "Z" tptp.val)) % 0.42/0.92 (define @t179 () (@var "Y" tptp.val)) % 0.42/0.92 (define @t180 () (lambda (@list @t179 @t178) (= @t179 @t178))) % 0.42/0.92 (define @t181 () (@var "B4" tptp.set_set_val)) % 0.42/0.92 (define @t182 () (@var "A4" tptp.set_set_val)) % 0.42/0.92 (define @t183 () (_ (_ tptp.ord_le1742111550et_val @t182) @t181)) % 0.42/0.92 (define @t184 () (_ (_ tptp.ord_le1742111550et_val @t181) @t182)) % 0.42/0.92 (define @t185 () (@list @t182 @t181)) % 0.42/0.92 (define @t186 () (@var "B4" tptp.set_val)) % 0.42/0.92 (define @t187 () (@var "A4" tptp.set_val)) % 0.42/0.92 (define @t188 () (_ (_ tptp.ord_less_eq_set_val @t187) @t186)) % 0.42/0.92 (define @t189 () (_ (_ tptp.ord_less_eq_set_val @t186) @t187)) % 0.42/0.92 (define @t190 () (@list @t187 @t186)) % 0.42/0.92 (define @t191 () (@var "C" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t192 () (_ tptp.ord_le994826475et_val @t191)) % 0.42/0.92 (define @t193 () (_ @t192 @t137)) % 0.42/0.92 (define @t194 () (_ tptp.ord_less_eq_val @t45)) % 0.42/0.92 (define @t195 () (_ @t194 @t144)) % 0.42/0.92 (define @t196 () (@var "C" tptp.set_set_val)) % 0.42/0.92 (define @t197 () (_ tptp.ord_le1742111550et_val @t196)) % 0.42/0.92 (define @t198 () (_ @t197 @t151)) % 0.42/0.92 (define @t199 () (_ tptp.ord_less_eq_set_val @t43)) % 0.42/0.92 (define @t200 () (_ @t199 @t158)) % 0.42/0.92 (define @t201 () (_ @t199 @t157)) % 0.42/0.92 (define @t202 () (@list @t157 @t158 @t43)) % 0.42/0.92 (define @t203 () (@var "P" (-> tptp.val tptp.val Bool))) % 0.42/0.92 (define @t204 () (@var "B5" tptp.val)) % 0.42/0.92 (define @t205 () (@var "A5" tptp.val)) % 0.42/0.92 (define @t206 () (_ (_ @t203 @t205) @t204)) % 0.42/0.92 (define @t207 () (@list @t205 @t204)) % 0.42/0.92 (define @t208 () (@list @t144)) % 0.42/0.92 (define @t209 () (@var "Z2" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t210 () (@var "Y2" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t211 () (_ tptp.ord_le994826475et_val @t210)) % 0.42/0.92 (define @t212 () (_ @t30 @t210)) % 0.42/0.92 (define @t213 () (@var "Z2" tptp.val)) % 0.42/0.92 (define @t214 () (_ @t31 @t213)) % 0.42/0.92 (define @t215 () (@var "Y2" tptp.val)) % 0.42/0.92 (define @t216 () (_ tptp.ord_less_eq_val @t215)) % 0.42/0.92 (define @t217 () (_ @t216 @t213)) % 0.42/0.92 (define @t218 () (_ @t31 @t215)) % 0.42/0.92 (define @t219 () (@list @t1 @t215 @t213)) % 0.42/0.92 (define @t220 () (@var "Z2" tptp.set_set_val)) % 0.42/0.92 (define @t221 () (@var "Y2" tptp.set_set_val)) % 0.42/0.92 (define @t222 () (_ tptp.ord_le1742111550et_val @t221)) % 0.42/0.92 (define @t223 () (_ @t33 @t221)) % 0.42/0.92 (define @t224 () (@var "Z2" tptp.set_val)) % 0.42/0.92 (define @t225 () (_ @t35 @t224)) % 0.42/0.92 (define @t226 () (@var "Y2" tptp.set_val)) % 0.42/0.92 (define @t227 () (_ tptp.ord_less_eq_set_val @t226)) % 0.42/0.92 (define @t228 () (_ @t227 @t224)) % 0.42/0.92 (define @t229 () (_ @t35 @t226)) % 0.42/0.92 (define @t230 () (@list @t34 @t226 @t224)) % 0.42/0.92 (define @t231 () (@list @t144 @t143)) % 0.42/0.92 (define @t232 () (@list @t158 @t157)) % 0.42/0.92 (define @t233 () (_ @t139 @t191)) % 0.42/0.92 (define @t234 () (@list @t137 @t136 @t191)) % 0.42/0.92 (define @t235 () (_ @t146 @t45)) % 0.42/0.92 (define @t236 () (@list @t144 @t143 @t45)) % 0.42/0.92 (define @t237 () (_ @t153 @t196)) % 0.42/0.92 (define @t238 () (@list @t151 @t150 @t196)) % 0.42/0.92 (define @t239 () (_ @t160 @t43)) % 0.42/0.92 (define @t240 () (@list @t158 @t157 @t43)) % 0.42/0.92 (define @t241 () (@var "X" Bool)) % 0.42/0.92 (define @t242 () (@var "G" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t243 () (@var "F" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t244 () (_ (_ tptp.ord_le994826475et_val @t243) @t242)) % 0.42/0.92 (define @t245 () (@var "X2" Bool)) % 0.42/0.92 (define @t246 () (@var "F" (-> tptp.set_val tptp.set_val))) % 0.42/0.92 (define @t247 () (_ @t246 @t43)) % 0.42/0.92 (define @t248 () (@var "Y3" tptp.set_val)) % 0.42/0.92 (define @t249 () (_ @t246 @t248)) % 0.42/0.92 (define @t250 () (_ @t246 @t11)) % 0.42/0.92 (define @t251 () (_ tptp.ord_less_eq_set_val @t11)) % 0.42/0.92 (define @t252 () (_ @t251 @t248)) % 0.42/0.92 (define @t253 () (@list @t11 @t248)) % 0.42/0.92 (define @t254 () (forall @t253 (=> @t252 (_ (_ tptp.ord_less_eq_set_val @t250) @t249)))) % 0.42/0.92 (define @t255 () (_ @t162 @t43)) % 0.42/0.92 (define @t256 () (=> @t255 (=> @t254 (_ @t160 @t247)))) % 0.42/0.92 (define @t257 () (_ @t246 @t157)) % 0.42/0.92 (define @t258 () (@list @t158 @t246 @t157 @t43)) % 0.42/0.92 (define @t259 () (@var "F" (-> tptp.val tptp.val))) % 0.42/0.92 (define @t260 () (@var "Y3" tptp.val)) % 0.42/0.92 (define @t261 () (_ @t259 @t260)) % 0.42/0.92 (define @t262 () (_ @t259 @t19)) % 0.42/0.92 (define @t263 () (_ (_ tptp.ord_less_eq_val @t19) @t260)) % 0.42/0.92 (define @t264 () (@list @t19 @t260)) % 0.42/0.92 (define @t265 () (forall @t264 (=> @t263 (_ (_ tptp.ord_less_eq_val @t262) @t261)))) % 0.42/0.92 (define @t266 () (_ @t148 @t45)) % 0.42/0.92 (define @t267 () (=> @t266 (=> @t265 (_ @t146 (_ @t259 @t45))))) % 0.42/0.92 (define @t268 () (_ @t259 @t143)) % 0.42/0.92 (define @t269 () (@list @t144 @t259 @t143 @t45)) % 0.42/0.92 (define @t270 () (@var "F" (-> tptp.val tptp.set_val))) % 0.42/0.92 (define @t271 () (_ @t270 @t260)) % 0.42/0.92 (define @t272 () (_ @t270 @t19)) % 0.42/0.92 (define @t273 () (forall @t264 (=> @t263 (_ (_ tptp.ord_less_eq_set_val @t272) @t271)))) % 0.42/0.92 (define @t274 () (=> @t266 (=> @t273 (_ @t160 (_ @t270 @t45))))) % 0.42/0.92 (define @t275 () (_ @t270 @t143)) % 0.42/0.92 (define @t276 () (@list @t158 @t270 @t143 @t45)) % 0.42/0.92 (define @t277 () (@var "F" (-> tptp.set_val tptp.val))) % 0.42/0.92 (define @t278 () (_ @t277 @t248)) % 0.42/0.92 (define @t279 () (_ @t277 @t11)) % 0.42/0.92 (define @t280 () (forall @t253 (=> @t252 (_ (_ tptp.ord_less_eq_val @t279) @t278)))) % 0.42/0.92 (define @t281 () (=> @t255 (=> @t280 (_ @t146 (_ @t277 @t43))))) % 0.42/0.92 (define @t282 () (_ @t277 @t157)) % 0.42/0.92 (define @t283 () (@list @t144 @t277 @t157 @t43)) % 0.42/0.92 (define @t284 () (@var "F" (-> tptp.set_set_val tptp.val))) % 0.42/0.92 (define @t285 () (@var "Y3" tptp.set_set_val)) % 0.42/0.92 (define @t286 () (_ @t284 @t285)) % 0.42/0.92 (define @t287 () (@var "X2" tptp.set_set_val)) % 0.42/0.92 (define @t288 () (_ @t284 @t287)) % 0.42/0.92 (define @t289 () (_ (_ tptp.ord_le1742111550et_val @t287) @t285)) % 0.42/0.92 (define @t290 () (@list @t287 @t285)) % 0.42/0.92 (define @t291 () (forall @t290 (=> @t289 (_ (_ tptp.ord_less_eq_val @t288) @t286)))) % 0.42/0.92 (define @t292 () (_ @t155 @t196)) % 0.42/0.92 (define @t293 () (=> @t292 (=> @t291 (_ @t146 (_ @t284 @t196))))) % 0.42/0.92 (define @t294 () (_ @t284 @t150)) % 0.42/0.92 (define @t295 () (@list @t144 @t284 @t150 @t196)) % 0.42/0.92 (define @t296 () (@var "F" (-> tptp.val tptp.set_set_val))) % 0.42/0.92 (define @t297 () (_ @t296 @t260)) % 0.42/0.92 (define @t298 () (_ @t296 @t19)) % 0.42/0.92 (define @t299 () (forall @t264 (=> @t263 (_ (_ tptp.ord_le1742111550et_val @t298) @t297)))) % 0.42/0.92 (define @t300 () (=> @t266 (=> @t299 (_ @t153 (_ @t296 @t45))))) % 0.42/0.92 (define @t301 () (_ @t296 @t143)) % 0.42/0.92 (define @t302 () (@list @t151 @t296 @t143 @t45)) % 0.42/0.92 (define @t303 () (@var "F" (-> tptp.set_set_val tptp.set_val))) % 0.42/0.92 (define @t304 () (_ @t303 @t285)) % 0.42/0.92 (define @t305 () (_ @t303 @t287)) % 0.42/0.92 (define @t306 () (forall @t290 (=> @t289 (_ (_ tptp.ord_less_eq_set_val @t305) @t304)))) % 0.42/0.92 (define @t307 () (=> @t292 (=> @t306 (_ @t160 (_ @t303 @t196))))) % 0.42/0.92 (define @t308 () (_ @t303 @t150)) % 0.42/0.92 (define @t309 () (@list @t158 @t303 @t150 @t196)) % 0.42/0.92 (define @t310 () (@var "F" (-> tptp.val Bool tptp.set_val))) % 0.42/0.92 (define @t311 () (_ @t310 @t260)) % 0.42/0.92 (define @t312 () (_ @t310 @t19)) % 0.42/0.92 (define @t313 () (forall @t264 (=> @t263 (_ (_ tptp.ord_le994826475et_val @t312) @t311)))) % 0.42/0.92 (define @t314 () (=> @t266 (=> @t313 (_ @t139 (_ @t310 @t45))))) % 0.42/0.92 (define @t315 () (_ @t310 @t143)) % 0.42/0.92 (define @t316 () (@list @t137 @t310 @t143 @t45)) % 0.42/0.92 (define @t317 () (@var "F" (-> (-> Bool tptp.set_val) tptp.val))) % 0.42/0.92 (define @t318 () (@var "Y3" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t319 () (_ @t317 @t318)) % 0.42/0.92 (define @t320 () (@var "X2" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t321 () (_ @t317 @t320)) % 0.42/0.92 (define @t322 () (_ (_ tptp.ord_le994826475et_val @t320) @t318)) % 0.42/0.92 (define @t323 () (@list @t320 @t318)) % 0.42/0.92 (define @t324 () (forall @t323 (=> @t322 (_ (_ tptp.ord_less_eq_val @t321) @t319)))) % 0.42/0.92 (define @t325 () (_ @t141 @t191)) % 0.42/0.92 (define @t326 () (=> @t325 (=> @t324 (_ @t146 (_ @t317 @t191))))) % 0.42/0.92 (define @t327 () (_ @t317 @t136)) % 0.42/0.92 (define @t328 () (@list @t144 @t317 @t136 @t191)) % 0.42/0.92 (define @t329 () (@var "F" (-> tptp.set_val tptp.set_set_val))) % 0.42/0.92 (define @t330 () (_ @t329 @t248)) % 0.42/0.92 (define @t331 () (_ @t329 @t11)) % 0.42/0.92 (define @t332 () (forall @t253 (=> @t252 (_ (_ tptp.ord_le1742111550et_val @t331) @t330)))) % 0.42/0.92 (define @t333 () (=> @t255 (=> @t332 (_ @t153 (_ @t329 @t43))))) % 0.42/0.92 (define @t334 () (_ @t329 @t157)) % 0.42/0.92 (define @t335 () (@list @t151 @t329 @t157 @t43)) % 0.42/0.92 (define @t336 () (_ @t246 @t158)) % 0.42/0.92 (define @t337 () (=> @t254 (_ (_ tptp.ord_less_eq_set_val @t336) @t43))) % 0.42/0.92 (define @t338 () (@list @t158 @t157 @t246 @t43)) % 0.42/0.92 (define @t339 () (=> @t265 (_ (_ tptp.ord_less_eq_val (_ @t259 @t144)) @t45))) % 0.42/0.92 (define @t340 () (@list @t144 @t143 @t259 @t45)) % 0.42/0.92 (define @t341 () (=> @t280 (_ (_ tptp.ord_less_eq_val (_ @t277 @t158)) @t45))) % 0.42/0.92 (define @t342 () (@list @t158 @t157 @t277 @t45)) % 0.42/0.92 (define @t343 () (=> @t273 (_ (_ tptp.ord_less_eq_set_val (_ @t270 @t144)) @t43))) % 0.42/0.92 (define @t344 () (@list @t144 @t143 @t270 @t43)) % 0.42/0.92 (define @t345 () (=> @t299 (_ (_ tptp.ord_le1742111550et_val (_ @t296 @t144)) @t196))) % 0.42/0.92 (define @t346 () (@list @t144 @t143 @t296 @t196)) % 0.42/0.92 (define @t347 () (=> @t291 (_ (_ tptp.ord_less_eq_val (_ @t284 @t151)) @t45))) % 0.42/0.92 (define @t348 () (@list @t151 @t150 @t284 @t45)) % 0.42/0.92 (define @t349 () (=> @t332 (_ (_ tptp.ord_le1742111550et_val (_ @t329 @t158)) @t196))) % 0.42/0.92 (define @t350 () (@list @t158 @t157 @t329 @t196)) % 0.42/0.92 (define @t351 () (=> @t324 (_ (_ tptp.ord_less_eq_val (_ @t317 @t137)) @t45))) % 0.42/0.92 (define @t352 () (@list @t137 @t136 @t317 @t45)) % 0.42/0.92 (define @t353 () (=> @t313 (_ (_ tptp.ord_le994826475et_val (_ @t310 @t144)) @t191))) % 0.42/0.92 (define @t354 () (@list @t144 @t143 @t310 @t191)) % 0.42/0.92 (define @t355 () (=> @t306 (_ (_ tptp.ord_less_eq_set_val (_ @t303 @t151)) @t43))) % 0.42/0.92 (define @t356 () (@list @t151 @t150 @t303 @t43)) % 0.42/0.92 (define @t357 () (@var "D" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t358 () (@var "D" tptp.val)) % 0.42/0.92 (define @t359 () (@list @t144 @t143 @t45 @t358)) % 0.42/0.92 (define @t360 () (@var "D" tptp.set_set_val)) % 0.42/0.92 (define @t361 () (@var "D" tptp.set_val)) % 0.42/0.92 (define @t362 () (@list @t158 @t157 @t43 @t361)) % 0.42/0.92 (define @t363 () (@var "X3" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t364 () (@var "Y4" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t365 () (_ (_ tptp.ord_le994826475et_val @t363) @t364)) % 0.42/0.92 (define @t366 () (@list @t363 @t364)) % 0.42/0.92 (define @t367 () (@var "Y4" tptp.val)) % 0.42/0.92 (define @t368 () (_ (_ tptp.ord_less_eq_val @t106) @t367)) % 0.42/0.92 (define @t369 () (@list @t106 @t367)) % 0.42/0.92 (define @t370 () (@var "X3" tptp.set_set_val)) % 0.42/0.92 (define @t371 () (@var "Y4" tptp.set_set_val)) % 0.42/0.92 (define @t372 () (_ (_ tptp.ord_le1742111550et_val @t370) @t371)) % 0.42/0.92 (define @t373 () (@list @t370 @t371)) % 0.42/0.92 (define @t374 () (@var "Y4" tptp.set_val)) % 0.42/0.92 (define @t375 () (_ (_ tptp.ord_less_eq_set_val @t374) @t98)) % 0.42/0.92 (define @t376 () (_ (_ tptp.ord_less_eq_set_val @t98) @t374)) % 0.42/0.92 (define @t377 () (@list @t98 @t374)) % 0.42/0.92 (define @t378 () (= @t29 @t210)) % 0.42/0.92 (define @t379 () (_ @t211 @t29)) % 0.42/0.92 (define @t380 () (@list @t29 @t210)) % 0.42/0.92 (define @t381 () (= @t1 @t215)) % 0.42/0.92 (define @t382 () (_ @t216 @t1)) % 0.42/0.92 (define @t383 () (@list @t1 @t215)) % 0.42/0.92 (define @t384 () (= @t32 @t221)) % 0.42/0.92 (define @t385 () (_ @t222 @t32)) % 0.42/0.92 (define @t386 () (@list @t32 @t221)) % 0.42/0.92 (define @t387 () (= @t34 @t226)) % 0.42/0.92 (define @t388 () (_ @t227 @t34)) % 0.42/0.92 (define @t389 () (@list @t34 @t226)) % 0.42/0.92 (define @t390 () (not @t218)) % 0.42/0.92 (define @t391 () (=> @t325 @t233)) % 0.42/0.92 (define @t392 () (=> @t266 @t235)) % 0.42/0.92 (define @t393 () (=> @t292 @t237)) % 0.42/0.92 (define @t394 () (=> @t255 @t239)) % 0.42/0.92 (define @t395 () (_ tptp.ord_less_eq_val @t213)) % 0.42/0.92 (define @t396 () (_ @t395 @t1)) % 0.42/0.92 (define @t397 () (_ @t395 @t215)) % 0.42/0.92 (define @t398 () (= @t229 @t387)) % 0.42/0.92 (define @t399 () (@list @t226 @t34)) % 0.42/0.92 (define @t400 () (@var "P" (-> (-> Bool tptp.set_val) Bool))) % 0.42/0.92 (define @t401 () (_ tptp.order_985126002et_val @t400)) % 0.42/0.92 (define @t402 () (@var "Q" (-> (-> Bool tptp.set_val) Bool))) % 0.42/0.92 (define @t403 () (@var "Y5" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t404 () (forall (@list @t318) (=> (_ @t400 @t318) (_ (_ tptp.ord_le994826475et_val @t318) @t29)))) % 0.42/0.92 (define @t405 () (_ @t400 @t29)) % 0.42/0.92 (define @t406 () (_ tptp.order_Greatest_val @t108)) % 0.42/0.92 (define @t407 () (@var "Y5" tptp.val)) % 0.42/0.92 (define @t408 () (forall (@list @t260) (=> (_ @t108 @t260) (_ (_ tptp.ord_less_eq_val @t260) @t1)))) % 0.42/0.92 (define @t409 () (_ @t108 @t1)) % 0.42/0.92 (define @t410 () (@var "P" (-> tptp.set_set_val Bool))) % 0.42/0.92 (define @t411 () (_ tptp.order_544136439et_val @t410)) % 0.42/0.92 (define @t412 () (@var "Q" (-> tptp.set_set_val Bool))) % 0.42/0.92 (define @t413 () (@var "Y5" tptp.set_set_val)) % 0.42/0.92 (define @t414 () (forall (@list @t285) (=> (_ @t410 @t285) (_ (_ tptp.ord_le1742111550et_val @t285) @t32)))) % 0.42/0.92 (define @t415 () (_ @t410 @t32)) % 0.42/0.92 (define @t416 () (_ tptp.order_1960465943et_val @t100)) % 0.42/0.92 (define @t417 () (@var "Y5" tptp.set_val)) % 0.42/0.92 (define @t418 () (_ tptp.ord_less_eq_set_val @t248)) % 0.42/0.92 (define @t419 () (forall (@list @t248) (=> (_ @t100 @t248) (_ @t418 @t34)))) % 0.42/0.92 (define @t420 () (_ @t100 @t34)) % 0.42/0.92 (define @t421 () (@var "M22" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t422 () (@var "M12" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t423 () (@var "M2" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t424 () (@var "M1" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t425 () (not @t65)) % 0.42/0.92 (define @t426 () (@var "M22" tptp.val)) % 0.42/0.92 (define @t427 () (@var "M12" tptp.val)) % 0.42/0.92 (define @t428 () (@var "M2" tptp.val)) % 0.42/0.92 (define @t429 () (@var "M1" tptp.val)) % 0.42/0.92 (define @t430 () (@var "M22" tptp.set_set_val)) % 0.42/0.92 (define @t431 () (@var "M12" tptp.set_set_val)) % 0.42/0.92 (define @t432 () (@var "M2" tptp.set_set_val)) % 0.42/0.92 (define @t433 () (@var "M1" tptp.set_set_val)) % 0.42/0.92 (define @t434 () (@var "M22" tptp.set_val)) % 0.42/0.92 (define @t435 () (@var "M12" tptp.set_val)) % 0.42/0.92 (define @t436 () (@var "M2" tptp.set_val)) % 0.42/0.92 (define @t437 () (@var "M1" tptp.set_val)) % 0.42/0.92 (define @t438 () (@var "M" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t439 () (@var "M" tptp.val)) % 0.42/0.92 (define @t440 () (@var "M" tptp.set_set_val)) % 0.42/0.92 (define @t441 () (@var "M" tptp.set_val)) % 0.42/0.92 (define @t442 () (not @t147)) % 0.42/0.92 (define @t443 () (@var "Y6" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t444 () (@var "X4" (-> Bool tptp.set_val))) % 0.42/0.92 (define @t445 () (_ tptp.order_1719375026et_val @t246)) % 0.42/0.92 (define @t446 () (_ @t259 @t1)) % 0.42/0.92 (define @t447 () (_ @t259 @t215)) % 0.42/0.92 (define @t448 () (_ tptp.order_1689798834al_val @t259)) % 0.42/0.92 (define @t449 () (@list @t259 @t1 @t215)) % 0.42/0.92 (define @t450 () (_ tptp.order_1375876562al_val @t277)) % 0.42/0.92 (define @t451 () (_ @t270 @t1)) % 0.42/0.92 (define @t452 () (_ @t270 @t215)) % 0.42/0.92 (define @t453 () (_ tptp.order_1484138386et_val @t270)) % 0.42/0.92 (define @t454 () (@list @t270 @t1 @t215)) % 0.42/0.92 (define @t455 () (_ @t296 @t1)) % 0.42/0.92 (define @t456 () (_ @t296 @t215)) % 0.42/0.92 (define @t457 () (_ tptp.order_1945059954et_val @t296)) % 0.42/0.92 (define @t458 () (@list @t296 @t1 @t215)) % 0.42/0.92 (define @t459 () (_ tptp.order_1520822002al_val @t284)) % 0.42/0.92 (define @t460 () (_ tptp.order_1957703570et_val @t329)) % 0.42/0.92 (define @t461 () (_ tptp.order_23236447al_val @t317)) % 0.42/0.92 (define @t462 () (_ @t310 @t1)) % 0.42/0.92 (define @t463 () (_ @t310 @t215)) % 0.42/0.92 (define @t464 () (_ tptp.order_255079095et_val @t310)) % 0.42/0.92 (define @t465 () (@list @t310 @t1 @t215)) % 0.42/0.92 (define @t466 () (_ tptp.order_650823122et_val @t303)) % 0.42/0.92 (define @t467 () (@var "Alpha" (-> tptp.set_val tptp.set_val))) % 0.42/0.92 (define @t468 () (@var "Gamma" (-> tptp.set_val tptp.set_val))) % 0.42/0.92 (define @t469 () (_ (_ tptp.refine1929691018et_val @t467) @t468)) % 0.42/0.92 (define @t470 () (@list @t467 @t468 @t34)) % 0.42/0.92 (define @t471 () (@var "Alpha" (-> tptp.set_val Bool tptp.set_val))) % 0.42/0.92 (define @t472 () (@var "Gamma" (-> (-> Bool tptp.set_val) tptp.set_val))) % 0.42/0.92 (define @t473 () (_ (_ tptp.refine51544255et_val @t471) @t472)) % 0.42/0.92 (define @t474 () (@var "Alpha" (-> tptp.set_val tptp.set_set_val))) % 0.42/0.92 (define @t475 () (@var "Gamma" (-> tptp.set_set_val tptp.set_val))) % 0.42/0.92 (define @t476 () (_ (_ tptp.refine1315043946et_val @t474) @t475)) % 0.42/0.92 (define @t477 () (@var "Alpha" (-> (-> Bool tptp.set_val) tptp.set_val))) % 0.42/0.92 (define @t478 () (@var "Gamma" (-> tptp.set_val Bool tptp.set_val))) % 0.42/0.92 (define @t479 () (_ (_ tptp.refine1948536167et_val @t477) @t478)) % 0.42/0.92 (define @t480 () (@var "Alpha" (-> (-> Bool tptp.set_val) Bool tptp.set_val))) % 0.42/0.92 (define @t481 () (@var "Gamma" (-> (-> Bool tptp.set_val) Bool tptp.set_val))) % 0.42/0.92 (define @t482 () (_ (_ tptp.refine1924899106et_val @t480) @t481)) % 0.42/0.92 (define @t483 () (@var "Alpha" (-> (-> Bool tptp.set_val) tptp.set_set_val))) % 0.42/0.93 (define @t484 () (@var "Gamma" (-> tptp.set_set_val Bool tptp.set_val))) % 0.42/0.93 (define @t485 () (_ (_ tptp.refine1169396807et_val @t483) @t484)) % 0.42/0.93 (define @t486 () (@var "Alpha" (-> tptp.set_set_val tptp.set_val))) % 0.42/0.93 (define @t487 () (@var "Gamma" (-> tptp.set_val tptp.set_set_val))) % 0.42/0.93 (define @t488 () (_ (_ tptp.refine8163498et_val @t486) @t487)) % 0.42/0.93 (define @t489 () (@var "Alpha" (-> tptp.set_set_val Bool tptp.set_val))) % 0.42/0.93 (define @t490 () (@var "Gamma" (-> (-> Bool tptp.set_val) tptp.set_set_val))) % 0.42/0.93 (define @t491 () (_ (_ tptp.refine86398879et_val @t489) @t490)) % 0.42/0.93 (define @t492 () (@var "Alpha" (-> tptp.set_set_val tptp.set_set_val))) % 0.42/0.93 (define @t493 () (@var "Gamma" (-> tptp.set_set_val tptp.set_set_val))) % 0.42/0.93 (define @t494 () (_ (_ tptp.refine855985034et_val @t492) @t493)) % 0.42/0.93 (define @t495 () (@var "A5" (-> Bool tptp.set_val))) % 0.42/0.93 (define @t496 () (@var "C3" tptp.set_val)) % 0.42/0.93 (define @t497 () (_ tptp.ord_less_eq_set_val @t496)) % 0.42/0.93 (define @t498 () (@var "A5" tptp.set_set_val)) % 0.42/0.93 (define @t499 () (@var "A5" tptp.set_val)) % 0.42/0.93 (define @t500 () (@var "C3" (-> Bool tptp.set_val))) % 0.42/0.93 (define @t501 () (_ tptp.ord_le994826475et_val @t500)) % 0.42/0.93 (define @t502 () (@var "C3" tptp.set_set_val)) % 0.42/0.93 (define @t503 () (_ tptp.ord_le1742111550et_val @t502)) % 0.42/0.93 (define @t504 () (@var "Le2" (-> tptp.set_val tptp.set_val Bool))) % 0.42/0.93 (define @t505 () (_ tptp.refine275900453et_val @t504)) % 0.42/0.93 (define @t506 () (@var "I" tptp.val)) % 0.42/0.93 (define @t507 () (@var "K" tptp.val)) % 0.42/0.93 (define @t508 () (_ tptp.member_val @t506)) % 0.42/0.93 (define @t509 () (@list @t506 @t507)) % 0.42/0.93 (define @t510 () (@var "I" tptp.set_val)) % 0.42/0.93 (define @t511 () (@var "K" tptp.set_val)) % 0.42/0.93 (define @t512 () (_ tptp.member_set_val @t510)) % 0.42/0.93 (define @t513 () (@list @t510 @t511)) % 0.42/0.93 (define @t514 () (_ tptp.set_ord_atLeast_val @t144)) % 0.42/0.93 (define @t515 () (@var "L" tptp.set_val)) % 0.42/0.93 (define @t516 () (@var "L2" tptp.set_val)) % 0.42/0.93 (define @t517 () (_ tptp.ord_less_eq_set_val @t516)) % 0.42/0.93 (define @t518 () (@var "H" tptp.set_val)) % 0.42/0.93 (define @t519 () (_ tptp.ord_less_eq_set_val @t515)) % 0.42/0.93 (define @t520 () (not (_ @t519 @t518))) % 0.42/0.93 (define @t521 () (_ tptp.set_or1554624499et_val @t515)) % 0.42/0.93 (define @t522 () (_ @t521 @t518)) % 0.42/0.93 (define @t523 () (_ tptp.ord_le1742111550et_val @t522)) % 0.42/0.93 (define @t524 () (@var "L" tptp.val)) % 0.42/0.93 (define @t525 () (@var "L2" tptp.val)) % 0.42/0.93 (define @t526 () (@var "H" tptp.val)) % 0.42/0.93 (define @t527 () (_ tptp.ord_less_eq_val @t524)) % 0.42/0.93 (define @t528 () (not (_ @t527 @t526))) % 0.42/0.93 (define @t529 () (_ tptp.set_or18208019st_val @t524)) % 0.42/0.93 (define @t530 () (_ tptp.ord_less_eq_set_val (_ @t529 @t526))) % 0.42/0.93 (define @t531 () (_ tptp.ord_less_set_val @t16)) % 0.42/0.93 (define @t532 () (_ @t531 @t15)) % 0.42/0.93 (define @t533 () (_ tptp.uminus1961393973et_val @t16)) % 0.42/0.93 (define @t534 () (_ @t46 @t533)) % 0.42/0.93 (define @t535 () (not @t48)) % 0.42/0.93 (define @t536 () (@list @t45 @t16)) % 0.42/0.93 (define @t537 () (@var "U" tptp.val)) % 0.42/0.93 (define @t538 () (_ tptp.ord_less_eq_val @t506)) % 0.42/0.93 (define @t539 () (@list @t506 @t524 @t537)) % 0.42/0.93 (define @t540 () (@var "U" tptp.set_val)) % 0.42/0.93 (define @t541 () (_ tptp.ord_less_eq_set_val @t510)) % 0.42/0.93 (define @t542 () (@var "H2" tptp.set_val)) % 0.42/0.93 (define @t543 () (_ tptp.ord_less_val @t506)) % 0.42/0.93 (define @t544 () (_ tptp.uminus1961393973et_val @t15)) % 0.42/0.93 (define @t545 () (_ @t162 @t361)) % 0.42/0.93 (define @t546 () (not @t161)) % 0.42/0.93 (define @t547 () (_ (_ tptp.set_or1554624499et_val @t43) @t361)) % 0.42/0.93 (define @t548 () (_ (_ tptp.set_or1554624499et_val @t158) @t157)) % 0.42/0.93 (define @t549 () (@var "H2" tptp.val)) % 0.42/0.93 (define @t550 () (_ tptp.ord_less_set_val @t157)) % 0.42/0.93 (define @t551 () (_ tptp.ord_less_set_val @t43)) % 0.42/0.93 (define @t552 () (_ @t551 @t158)) % 0.42/0.93 (define @t553 () (_ tptp.ord_less_set_val @t34)) % 0.42/0.93 (define @t554 () (_ @t553 @t226)) % 0.42/0.93 (define @t555 () (not @t554)) % 0.42/0.93 (define @t556 () (= @t98 @t374)) % 0.42/0.93 (define @t557 () (_ tptp.ord_less_set_val @t158)) % 0.42/0.93 (define @t558 () (_ @t557 @t157)) % 0.42/0.93 (define @t559 () (not @t159)) % 0.42/0.93 (define @t560 () (_ @t553 @t224)) % 0.42/0.93 (define @t561 () (_ @t557 @t43)) % 0.42/0.93 (define @t562 () (= @t187 @t186)) % 0.42/0.93 (define @t563 () (not @t562)) % 0.42/0.93 (define @t564 () (_ @t550 @t158)) % 0.42/0.93 (define @t565 () (@list @t186 @t187)) % 0.42/0.93 (define @t566 () (= @t59 @t56)) % 0.42/0.93 (define @t567 () (_ @t531 @t124)) % 0.42/0.93 (define @t568 () (_ tptp.uminus1961393973et_val @t226)) % 0.42/0.93 (define @t569 () (_ tptp.uminus1961393973et_val @t34)) % 0.42/0.93 (define @t570 () (_ tptp.ord_less_eq_set_val @t569)) % 0.42/0.93 (define @t571 () (_ tptp.ord_less_eq_set_val @t568)) % 0.42/0.93 (define @t572 () (_ (_ tptp.sup_sup_set_val @t16) @t15)) % 0.42/0.93 (define @t573 () (_ @t46 @t572)) % 0.42/0.93 (define @t574 () (_ (_ tptp.sup_sup_set_val @t34) @t226)) % 0.42/0.93 (define @t575 () (_ (_ tptp.ord_less_eq_set_val (_ (_ tptp.sup_sup_set_val @t157) @t43)) @t158)) % 0.42/0.93 (define @t576 () (@list @t157 @t43 @t158)) % 0.42/0.93 (define @t577 () (_ (_ tptp.sup_sup_set_val @t158) @t157)) % 0.42/0.93 (define @t578 () (_ @t199 @t577)) % 0.42/0.93 (define @t579 () (_ (_ tptp.sup_sup_set_val @t187) @t186)) % 0.42/0.93 (define @t580 () (@var "F" (-> tptp.set_val tptp.set_val tptp.set_val))) % 0.42/0.93 (define @t581 () (@var "Z3" tptp.set_val)) % 0.42/0.93 (define @t582 () (_ (_ @t580 @t11) @t248)) % 0.42/0.93 (define @t583 () (@var "P" Bool)) % 0.42/0.93 (define @t584 () (not (_ (_ tptp.ord_less_eq_set_val tptp.scc) tptp.p))) % 0.42/0.93 (define @t585 () (lambda @t55 (forall @t102 (=> (_ @t133 @t54) (_ @t133 @t51))))) % 0.42/0.93 (define @t586 () (_ @t135 @t56)) % 0.42/0.93 (define @t587 () (_ @t135 @t59)) % 0.42/0.93 (define @t588 () (forall @t110 (=> @t587 @t586))) % 0.42/0.93 (define @t589 () (lambda @t60 @t588)) % 0.42/0.93 (define @t590 () (@var "X3" Bool)) % 0.42/0.93 (define @t591 () (@var "G2" (-> Bool tptp.set_val))) % 0.42/0.93 (define @t592 () (@var "F2" (-> Bool tptp.set_val))) % 0.42/0.93 (define @t593 () (lambda (@list @t592 @t591) (forall (@list @t590) (_ (_ tptp.ord_less_eq_set_val (_ @t592 @t590)) (_ @t591 @t590))))) % 0.42/0.93 (define @t594 () (@var "Y6" (-> Bool Bool tptp.set_val))) % 0.42/0.93 (define @t595 () (@var "X4" (-> Bool Bool tptp.set_val))) % 0.42/0.93 (define @t596 () (lambda (@list @t595 @t594) (and (_ (_ tptp.ord_le994826475et_val (_ @t595 false)) (_ @t594 false)) (_ (_ tptp.ord_le994826475et_val (_ @t595 true)) (_ @t594 true))))) % 0.42/0.93 (define @t597 () (@var "Y6" (-> Bool tptp.val))) % 0.42/0.93 (define @t598 () (@var "X4" (-> Bool tptp.val))) % 0.42/0.93 (define @t599 () (lambda (@list @t598 @t597) (and (_ (_ tptp.ord_less_eq_val (_ @t598 false)) (_ @t597 false)) (_ (_ tptp.ord_less_eq_val (_ @t598 true)) (_ @t597 true))))) % 0.42/0.93 (define @t600 () (@var "Y6" (-> Bool tptp.set_set_val))) % 0.42/0.93 (define @t601 () (@var "X4" (-> Bool tptp.set_set_val))) % 0.42/0.93 (define @t602 () (lambda (@list @t601 @t600) (and (_ (_ tptp.ord_le1742111550et_val (_ @t601 false)) (_ @t600 false)) (_ (_ tptp.ord_le1742111550et_val (_ @t601 true)) (_ @t600 true))))) % 0.42/0.93 (define @t603 () (@var "F2" (-> tptp.set_val tptp.set_val))) % 0.42/0.93 (define @t604 () (lambda (@list @t603) (forall @t377 (=> @t376 (_ (_ tptp.ord_less_eq_set_val (_ @t603 @t374)) (_ @t603 @t98)))))) % 0.42/0.93 (define @t605 () (@var "F2" (-> tptp.val tptp.val))) % 0.42/0.93 (define @t606 () (lambda (@list @t605) (forall @t369 (=> @t368 (_ (_ tptp.ord_less_eq_val (_ @t605 @t367)) (_ @t605 @t106)))))) % 0.42/0.93 (define @t607 () (@var "F2" (-> tptp.set_val tptp.val))) % 0.42/0.93 (define @t608 () (lambda (@list @t607) (forall @t377 (=> @t376 (_ (_ tptp.ord_less_eq_val (_ @t607 @t374)) (_ @t607 @t98)))))) % 0.42/0.93 (define @t609 () (@var "F2" (-> tptp.val tptp.set_val))) % 0.42/0.93 (define @t610 () (lambda (@list @t609) (forall @t369 (=> @t368 (_ (_ tptp.ord_less_eq_set_val (_ @t609 @t367)) (_ @t609 @t106)))))) % 0.42/0.93 (define @t611 () (@var "F2" (-> tptp.val tptp.set_set_val))) % 0.42/0.93 (define @t612 () (lambda (@list @t611) (forall @t369 (=> @t368 (_ (_ tptp.ord_le1742111550et_val (_ @t611 @t367)) (_ @t611 @t106)))))) % 0.42/0.93 (define @t613 () (@var "F2" (-> tptp.set_set_val tptp.val))) % 0.42/0.93 (define @t614 () (lambda (@list @t613) (forall @t373 (=> @t372 (_ (_ tptp.ord_less_eq_val (_ @t613 @t371)) (_ @t613 @t370)))))) % 0.42/0.93 (define @t615 () (@var "F2" (-> tptp.set_val tptp.set_set_val))) % 0.42/0.93 (define @t616 () (lambda (@list @t615) (forall @t377 (=> @t376 (_ (_ tptp.ord_le1742111550et_val (_ @t615 @t374)) (_ @t615 @t98)))))) % 0.42/0.93 (define @t617 () (@var "F2" (-> (-> Bool tptp.set_val) tptp.val))) % 0.42/0.93 (define @t618 () (lambda (@list @t617) (forall @t366 (=> @t365 (_ (_ tptp.ord_less_eq_val (_ @t617 @t364)) (_ @t617 @t363)))))) % 0.42/0.93 (define @t619 () (@var "F2" (-> tptp.val Bool tptp.set_val))) % 0.42/0.93 (define @t620 () (lambda (@list @t619) (forall @t369 (=> @t368 (_ (_ tptp.ord_le994826475et_val (_ @t619 @t367)) (_ @t619 @t106)))))) % 0.42/0.93 (define @t621 () (@var "F2" (-> tptp.set_set_val tptp.set_val))) % 0.42/0.93 (define @t622 () (lambda (@list @t621) (forall @t373 (=> @t372 (_ (_ tptp.ord_less_eq_set_val (_ @t621 @t371)) (_ @t621 @t370)))))) % 0.42/0.93 (define @t623 () (@var "C4" tptp.set_val)) % 0.42/0.93 (define @t624 () (@var "Alpha2" (-> tptp.set_val Bool tptp.set_val))) % 0.42/0.93 (define @t625 () (@var "Gamma2" (-> (-> Bool tptp.set_val) tptp.set_val))) % 0.42/0.93 (define @t626 () (_ tptp.ord_less_eq_set_val @t623)) % 0.42/0.93 (define @t627 () (lambda (@list @t624 @t625) (forall (@list @t623 @t166) (= (_ @t626 (_ @t625 @t166)) (_ (_ tptp.ord_le994826475et_val (_ @t624 @t623)) @t166))))) % 0.42/0.93 (define @t628 () (@var "Alpha2" (-> tptp.set_val tptp.set_set_val))) % 0.42/0.93 (define @t629 () (@var "Gamma2" (-> tptp.set_set_val tptp.set_val))) % 0.42/0.93 (define @t630 () (lambda (@list @t628 @t629) (forall (@list @t623 @t182) (= (_ @t626 (_ @t629 @t182)) (_ (_ tptp.ord_le1742111550et_val (_ @t628 @t623)) @t182))))) % 0.42/0.93 (define @t631 () (@var "C4" (-> Bool tptp.set_val))) % 0.42/0.93 (define @t632 () (@var "Alpha2" (-> (-> Bool tptp.set_val) tptp.set_val))) % 0.42/0.93 (define @t633 () (@var "Gamma2" (-> tptp.set_val Bool tptp.set_val))) % 0.42/0.93 (define @t634 () (_ tptp.ord_le994826475et_val @t631)) % 0.42/0.93 (define @t635 () (lambda (@list @t632 @t633) (forall (@list @t631 @t187) (= (_ @t634 (_ @t633 @t187)) (_ (_ tptp.ord_less_eq_set_val (_ @t632 @t631)) @t187))))) % 0.42/0.93 (define @t636 () (@var "Alpha2" (-> (-> Bool tptp.set_val) Bool tptp.set_val))) % 0.42/0.93 (define @t637 () (@var "Gamma2" (-> (-> Bool tptp.set_val) Bool tptp.set_val))) % 0.42/0.93 (define @t638 () (lambda (@list @t636 @t637) (forall (@list @t631 @t166) (= (_ @t634 (_ @t637 @t166)) (_ (_ tptp.ord_le994826475et_val (_ @t636 @t631)) @t166))))) % 0.42/0.93 (define @t639 () (@var "Alpha2" (-> (-> Bool tptp.set_val) tptp.set_set_val))) % 0.42/0.93 (define @t640 () (@var "Gamma2" (-> tptp.set_set_val Bool tptp.set_val))) % 0.42/0.93 (define @t641 () (lambda (@list @t639 @t640) (forall (@list @t631 @t182) (= (_ @t634 (_ @t640 @t182)) (_ (_ tptp.ord_le1742111550et_val (_ @t639 @t631)) @t182))))) % 0.42/0.93 (define @t642 () (@var "C4" tptp.set_set_val)) % 0.42/0.93 (define @t643 () (@var "Alpha2" (-> tptp.set_set_val tptp.set_val))) % 0.42/0.93 (define @t644 () (@var "Gamma2" (-> tptp.set_val tptp.set_set_val))) % 0.42/0.93 (define @t645 () (_ tptp.ord_le1742111550et_val @t642)) % 0.42/0.93 (define @t646 () (lambda (@list @t643 @t644) (forall (@list @t642 @t187) (= (_ @t645 (_ @t644 @t187)) (_ (_ tptp.ord_less_eq_set_val (_ @t643 @t642)) @t187))))) % 0.42/0.93 (define @t647 () (@var "Alpha2" (-> tptp.set_set_val Bool tptp.set_val))) % 0.42/0.93 (define @t648 () (@var "Gamma2" (-> (-> Bool tptp.set_val) tptp.set_set_val))) % 0.42/0.93 (define @t649 () (lambda (@list @t647 @t648) (forall (@list @t642 @t166) (= (_ @t645 (_ @t648 @t166)) (_ (_ tptp.ord_le994826475et_val (_ @t647 @t642)) @t166))))) % 0.42/0.93 (define @t650 () (@var "Alpha2" (-> tptp.set_set_val tptp.set_set_val))) % 0.42/0.93 (define @t651 () (@var "Gamma2" (-> tptp.set_set_val tptp.set_set_val))) % 0.42/0.93 (define @t652 () (lambda (@list @t650 @t651) (forall (@list @t642 @t182) (= (_ @t645 (_ @t651 @t182)) (_ (_ tptp.ord_le1742111550et_val (_ @t650 @t642)) @t182))))) % 0.42/0.93 (define @t653 () (@var "Alpha2" (-> tptp.set_val tptp.set_val))) % 0.42/0.93 (define @t654 () (@var "Gamma2" (-> tptp.set_val tptp.set_val))) % 0.42/0.93 (define @t655 () (lambda (@list @t653 @t654) (forall (@list @t623 @t187) (= (_ @t626 (_ @t654 @t187)) (_ (_ tptp.ord_less_eq_set_val (_ @t653 @t623)) @t187))))) % 0.42/0.93 (define @t656 () (@var "Le" (-> tptp.set_val tptp.set_val Bool))) % 0.42/0.93 (define @t657 () (lambda (@list @t656) (forall @t102 (_ (_ @t656 @t98) @t98)))) % 0.42/0.93 (define @t658 () (lambda @t377 (and @t376 (not @t556)))) % 0.42/0.93 (define @t659 () (tptp.member_val @t1 tptp.p)) % 0.42/0.93 (define @t660 () (tptp.member_val @t1 tptp.scc)) % 0.42/0.93 (define @t661 () (not @t4)) % 0.42/0.93 (define @t662 () (or @t661 @t3)) % 0.42/0.93 (define @t663 () (forall @t5 (or (not @t660) @t659))) % 0.42/0.93 (define @t664 () (not (tptp.member_val @t106 tptp.scc))) % 0.42/0.93 (define @t665 () (forall @t110 (or @t664 (tptp.member_val @t106 tptp.p)))) % 0.42/0.93 (define @t666 () (@list false)) % 0.42/0.93 (define @t667 () (tptp.member_val @t106 @t56)) % 0.42/0.93 (define @t668 () (lambda (@list @t56) (forall @t110 (or @t664 @t667)))) % 0.42/0.93 (define @t669 () (tptp.member_val @t106 @t59)) % 0.42/0.93 (define @t670 () (_ (lambda @t60 (forall @t110 (or (not @t669) @t667))) tptp.scc)) % 0.42/0.93 (define @t671 () (not @t587)) % 0.42/0.93 (define @t672 () (or @t671 @t586)) % 0.42/0.93 (assume @p1 @t6) % 0.42/0.93 (assume @p2 (forall @t14 (=> (forall @t13 (=> (_ @t12 @t8) (_ @t12 @t7))) @t10))) % 0.42/0.93 (assume @p3 (forall @t22 (=> (forall @t21 (=> (_ @t20 @t16) (_ @t20 @t15))) @t18))) % 0.42/0.93 (assume @p4 (forall @t14 (=> @t10 (=> @t25 @t23)))) % 0.42/0.93 (assume @p5 (forall @t22 (=> @t18 (=> @t28 @t26)))) % 0.42/0.93 (assume @p6 (forall (@list @t29) (_ @t30 @t29))) % 0.42/0.93 (assume @p7 (forall @t5 (_ @t31 @t1))) % 0.42/0.93 (assume @p8 (forall (@list @t32) (_ @t33 @t32))) % 0.42/0.93 (assume @p9 (forall (@list @t34) (_ @t35 @t34))) % 0.42/0.93 (assume @p10 (forall (@list @t37 @t36) (=> @t38 @t38))) % 0.42/0.93 (assume @p11 (forall (@list @t40 @t39) (=> @t41 @t41))) % 0.42/0.93 (assume @p12 (forall (@list @t8 @t7 @t34) (=> @t10 (=> (_ @t42 @t8) (_ @t42 @t7))))) % 0.42/0.93 (assume @p13 (forall (@list @t16 @t15 @t1) (=> @t18 (=> (_ @t2 @t16) (_ @t2 @t15))))) % 0.42/0.93 (assume @p14 (forall (@list @t8 @t7 @t43) (=> @t10 (=> (_ @t44 @t8) (_ @t44 @t7))))) % 0.42/0.93 (assume @p15 (forall @t50 (=> @t18 @t49))) % 0.42/0.93 (assume @p16 (forall @t14 (=> @t23 (not (=> @t10 (not @t25)))))) % 0.42/0.93 (assume @p17 (forall @t22 (=> @t26 (not (=> @t18 (not @t28)))))) % 0.42/0.93 (assume @p18 (forall @t14 (=> @t23 @t10))) % 0.42/0.93 (assume @p19 (forall @t22 (=> @t26 @t18))) % 0.42/0.93 (assume @p20 (forall @t14 (=> @t23 @t25))) % 0.42/0.93 (assume @p21 (forall @t22 (=> @t26 @t28))) % 0.42/0.93 (assume @p22 (= tptp.ord_le1742111550et_val (lambda @t55 (forall (@list @t52) (=> (_ @t53 @t54) (_ @t53 @t51)))))) % 0.42/0.93 (assume @p23 (= tptp.ord_less_eq_set_val (lambda @t60 (forall (@list @t57) (=> (_ @t58 @t59) (_ @t58 @t56)))))) % 0.42/0.93 (assume @p24 (forall @t61 (_ @t9 @t8))) % 0.42/0.93 (assume @p25 (forall @t62 (_ @t17 @t16))) % 0.42/0.93 (assume @p26 (forall (@list @t68 @t64 @t67 @t63 @t65) (=> (_ @t71 @t64) (=> (_ @t70 @t63) (_ @t69 (_ (_ @t66 @t64) @t63)))))) % 0.42/0.93 (assume @p27 (forall (@list @t76 @t73 @t75 @t72 @t65) (=> (_ @t79 @t73) (=> (_ @t78 @t72) (_ @t77 (_ (_ @t74 @t73) @t72)))))) % 0.42/0.93 (assume @p28 (forall (@list @t84 @t81 @t83 @t80 @t65) (=> (_ @t87 @t81) (=> (_ @t86 @t80) (_ @t85 (_ (_ @t82 @t81) @t80)))))) % 0.42/0.93 (assume @p29 (forall (@list @t93 @t89 @t92 @t88 @t65) (=> (_ @t97 @t89) (=> (_ @t96 @t88) (_ @t95 @t91))))) % 0.42/0.93 (assume @p30 (forall @t105 (= @t104 (forall @t102 (=> @t101 (_ @t99 @t98)))))) % 0.42/0.93 (assume @p31 (forall @t114 (= @t113 (forall @t110 (=> @t109 (_ @t107 @t106)))))) % 0.42/0.93 (assume @p32 (= @t117 (lambda @t55 (and (_ (_ tptp.ord_le1742111550et_val @t54) @t51) (_ (_ tptp.ord_le1742111550et_val @t51) @t54))))) % 0.42/0.93 (assume @p33 (= @t122 (lambda @t60 (and @t119 @t118)))) % 0.42/0.93 (assume @p34 (forall (@list @t8 @t7 @t123) (=> @t10 (=> (_ @t24 @t123) (_ @t9 @t123))))) % 0.42/0.93 (assume @p35 (forall @t127 (=> @t18 (=> @t126 @t125)))) % 0.42/0.93 (assume @p36 (forall @t105 (=> (forall @t13 (=> @t129 @t128)) @t104))) % 0.42/0.93 (assume @p37 (forall @t114 (=> (forall @t21 (=> @t131 @t130)) @t113))) % 0.42/0.93 (assume @p38 (forall (@list @t132 @t100) (= (_ (_ tptp.ord_le1742111550et_val @t132) @t103) (forall @t102 (=> (_ @t133 @t132) @t101))))) % 0.42/0.93 (assume @p39 (forall (@list @t134 @t108) (= (_ (_ tptp.ord_less_eq_set_val @t134) @t112) (forall @t110 (=> (_ @t135 @t134) @t109))))) % 0.42/0.93 (assume @p40 (forall (@list @t136 @t137) (=> @t142 (=> @t140 @t138)))) % 0.42/0.93 (assume @p41 (forall (@list @t143 @t144) (=> @t149 (=> @t147 @t145)))) % 0.42/0.93 (assume @p42 (forall (@list @t150 @t151) (=> @t156 (=> @t154 @t152)))) % 0.42/0.93 (assume @p43 (forall @t164 (=> @t163 (=> @t161 @t159)))) % 0.42/0.93 (assume @p44 (= @t172 (lambda @t169 (and @t168 @t167)))) % 0.42/0.93 (assume @p45 (= @t180 (lambda @t177 (and @t176 @t175)))) % 0.42/0.93 (assume @p46 (= @t117 (lambda @t185 (and @t184 @t183)))) % 0.42/0.93 (assume @p47 (= @t122 (lambda @t190 (and @t189 @t188)))) % 0.42/0.93 (assume @p48 (forall (@list @t136 @t137 @t191) (=> @t142 (=> (_ @t192 @t136) @t193)))) % 0.42/0.93 (assume @p49 (forall (@list @t143 @t144 @t45) (=> @t149 (=> (_ @t194 @t143) @t195)))) % 0.42/0.93 (assume @p50 (forall (@list @t150 @t151 @t196) (=> @t156 (=> (_ @t197 @t150) @t198)))) % 0.42/0.93 (assume @p51 (forall @t202 (=> @t163 (=> @t201 @t200)))) % 0.42/0.93 (assume @p52 (forall (@list @t203 @t144 @t143) (=> (forall @t207 (=> (_ (_ tptp.ord_less_eq_val @t205) @t204) @t206)) (=> (forall @t207 (=> (_ (_ @t203 @t204) @t205) @t206)) (_ (_ @t203 @t144) @t143))))) % 0.42/0.93 (assume @p53 (forall (@list @t137) (_ @t139 @t137))) % 0.42/0.93 (assume @p54 (forall @t208 (_ @t146 @t144))) % 0.42/0.93 (assume @p55 (forall (@list @t151) (_ @t153 @t151))) % 0.42/0.93 (assume @p56 (forall (@list @t158) (_ @t160 @t158))) % 0.42/0.93 (assume @p57 (forall (@list @t29 @t210 @t209) (=> @t212 (=> (_ @t211 @t209) (_ @t30 @t209))))) % 0.42/0.93 (assume @p58 (forall @t219 (=> @t218 (=> @t217 @t214)))) % 0.42/0.93 (assume @p59 (forall (@list @t32 @t221 @t220) (=> @t223 (=> (_ @t222 @t220) (_ @t33 @t220))))) % 0.42/0.93 (assume @p60 (forall @t230 (=> @t229 (=> @t228 @t225)))) % 0.42/0.93 (assume @p61 (forall (@list @t137 @t136) (=> @t140 (=> @t142 @t138)))) % 0.42/0.93 (assume @p62 (forall @t231 (=> @t147 (=> @t149 @t145)))) % 0.42/0.93 (assume @p63 (forall (@list @t151 @t150) (=> @t154 (=> @t156 @t152)))) % 0.42/0.93 (assume @p64 (forall @t232 (=> @t161 (=> @t163 @t159)))) % 0.42/0.93 (assume @p65 (forall @t234 (=> @t140 (=> (= @t136 @t191) @t233)))) % 0.42/0.93 (assume @p66 (forall @t236 (=> @t147 (=> (= @t143 @t45) @t235)))) % 0.42/0.93 (assume @p67 (forall @t238 (=> @t154 (=> (= @t150 @t196) @t237)))) % 0.42/0.93 (assume @p68 (forall @t240 (=> @t161 (=> (= @t157 @t43) @t239)))) % 0.42/0.93 (assume @p69 (forall (@list @t243 @t242 @t241) (=> @t244 (_ (_ tptp.ord_less_eq_set_val (_ @t243 @t241)) (_ @t242 @t241))))) % 0.42/0.93 (assume @p70 (forall (@list @t243 @t242) (=> (forall (@list @t245) (_ (_ tptp.ord_less_eq_set_val (_ @t243 @t245)) (_ @t242 @t245))) @t244))) % 0.42/0.93 (assume @p71 (forall @t258 (=> (_ @t160 @t257) @t256))) % 0.42/0.93 (assume @p72 (forall @t269 (=> (_ @t146 @t268) @t267))) % 0.42/0.93 (assume @p73 (forall @t276 (=> (_ @t160 @t275) @t274))) % 0.42/0.93 (assume @p74 (forall @t283 (=> (_ @t146 @t282) @t281))) % 0.42/0.93 (assume @p75 (forall @t295 (=> (_ @t146 @t294) @t293))) % 0.42/0.93 (assume @p76 (forall @t302 (=> (_ @t153 @t301) @t300))) % 0.42/0.93 (assume @p77 (forall @t309 (=> (_ @t160 @t308) @t307))) % 0.42/0.93 (assume @p78 (forall @t316 (=> (_ @t139 @t315) @t314))) % 0.42/0.93 (assume @p79 (forall @t328 (=> (_ @t146 @t327) @t326))) % 0.42/0.93 (assume @p80 (forall @t335 (=> (_ @t153 @t334) @t333))) % 0.42/0.93 (assume @p81 (forall @t338 (=> @t161 (=> (_ (_ tptp.ord_less_eq_set_val @t257) @t43) @t337)))) % 0.42/0.93 (assume @p82 (forall @t340 (=> @t147 (=> (_ (_ tptp.ord_less_eq_val @t268) @t45) @t339)))) % 0.42/0.93 (assume @p83 (forall @t342 (=> @t161 (=> (_ (_ tptp.ord_less_eq_val @t282) @t45) @t341)))) % 0.42/0.93 (assume @p84 (forall @t344 (=> @t147 (=> (_ (_ tptp.ord_less_eq_set_val @t275) @t43) @t343)))) % 0.42/0.93 (assume @p85 (forall @t346 (=> @t147 (=> (_ (_ tptp.ord_le1742111550et_val @t301) @t196) @t345)))) % 0.42/0.93 (assume @p86 (forall @t348 (=> @t154 (=> (_ (_ tptp.ord_less_eq_val @t294) @t45) @t347)))) % 0.42/0.93 (assume @p87 (forall @t350 (=> @t161 (=> (_ (_ tptp.ord_le1742111550et_val @t334) @t196) @t349)))) % 0.42/0.93 (assume @p88 (forall @t352 (=> @t140 (=> (_ (_ tptp.ord_less_eq_val @t327) @t45) @t351)))) % 0.42/0.93 (assume @p89 (forall @t354 (=> @t147 (=> (_ (_ tptp.ord_le994826475et_val @t315) @t191) @t353)))) % 0.42/0.93 (assume @p90 (forall @t356 (=> @t154 (=> (_ (_ tptp.ord_less_eq_set_val @t308) @t43) @t355)))) % 0.42/0.93 (assume @p91 (forall (@list @t137 @t136 @t191 @t357) (=> @t138 (=> @t325 (=> (= @t191 @t357) (_ @t139 @t357)))))) % 0.42/0.93 (assume @p92 (forall @t359 (=> @t145 (=> @t266 (=> (= @t45 @t358) (_ @t146 @t358)))))) % 0.42/0.93 (assume @p93 (forall (@list @t151 @t150 @t196 @t360) (=> @t152 (=> @t292 (=> (= @t196 @t360) (_ @t153 @t360)))))) % 0.42/0.93 (assume @p94 (forall @t362 (=> @t159 (=> @t255 (=> (= @t43 @t361) (_ @t160 @t361)))))) % 0.42/0.93 (assume @p95 (forall @t258 (=> (= @t158 @t257) @t256))) % 0.42/0.93 (assume @p96 (forall @t269 (=> (= @t144 @t268) @t267))) % 0.42/0.93 (assume @p97 (forall @t283 (=> (= @t144 @t282) @t281))) % 0.42/0.93 (assume @p98 (forall @t276 (=> (= @t158 @t275) @t274))) % 0.42/0.93 (assume @p99 (forall @t302 (=> (= @t151 @t301) @t300))) % 0.42/0.93 (assume @p100 (forall @t295 (=> (= @t144 @t294) @t293))) % 0.42/0.93 (assume @p101 (forall @t335 (=> (= @t151 @t334) @t333))) % 0.42/0.93 (assume @p102 (forall @t328 (=> (= @t144 @t327) @t326))) % 0.42/0.93 (assume @p103 (forall @t316 (=> (= @t137 @t315) @t314))) % 0.42/0.93 (assume @p104 (forall @t309 (=> (= @t158 @t308) @t307))) % 0.42/0.93 (assume @p105 (forall @t338 (=> @t161 (=> (= @t257 @t43) @t337)))) % 0.42/0.93 (assume @p106 (forall @t340 (=> @t147 (=> (= @t268 @t45) @t339)))) % 0.42/0.93 (assume @p107 (forall @t342 (=> @t161 (=> (= @t282 @t45) @t341)))) % 0.42/0.93 (assume @p108 (forall @t344 (=> @t147 (=> (= @t275 @t43) @t343)))) % 0.42/0.93 (assume @p109 (forall @t346 (=> @t147 (=> (= @t301 @t196) @t345)))) % 0.42/0.93 (assume @p110 (forall @t348 (=> @t154 (=> (= @t294 @t45) @t347)))) % 0.42/0.93 (assume @p111 (forall @t350 (=> @t161 (=> (= @t334 @t196) @t349)))) % 0.42/0.93 (assume @p112 (forall @t352 (=> @t140 (=> (= @t327 @t45) @t351)))) % 0.42/0.93 (assume @p113 (forall @t354 (=> @t147 (=> (= @t315 @t191) @t353)))) % 0.42/0.93 (assume @p114 (forall @t356 (=> @t154 (=> (= @t308 @t43) @t355)))) % 0.42/0.93 (assume @p115 (= @t172 (lambda @t366 (and @t365 (_ (_ tptp.ord_le994826475et_val @t364) @t363))))) % 0.42/0.93 (assume @p116 (= @t180 (lambda @t369 (and @t368 (_ (_ tptp.ord_less_eq_val @t367) @t106))))) % 0.42/0.93 (assume @p117 (= @t117 (lambda @t373 (and @t372 (_ (_ tptp.ord_le1742111550et_val @t371) @t370))))) % 0.42/0.93 (assume @p118 (= @t122 (lambda @t377 (and @t376 @t375)))) % 0.42/0.93 (assume @p119 (forall @t380 (=> @t212 (=> @t379 @t378)))) % 0.42/0.93 (assume @p120 (forall @t383 (=> @t218 (=> @t382 @t381)))) % 0.42/0.93 (assume @p121 (forall @t386 (=> @t223 (=> @t385 @t384)))) % 0.42/0.93 (assume @p122 (forall @t389 (=> @t229 (=> @t388 @t387)))) % 0.42/0.93 (assume @p123 (forall @t383 (or @t218 @t382))) % 0.42/0.93 (assume @p124 (forall @t380 (=> @t378 @t212))) % 0.42/0.93 (assume @p125 (forall @t383 (=> @t381 @t218))) % 0.42/0.93 (assume @p126 (forall @t386 (=> @t384 @t223))) % 0.42/0.93 (assume @p127 (forall @t389 (=> @t387 @t229))) % 0.42/0.93 (assume @p128 (forall @t383 (=> @t390 @t382))) % 0.42/0.93 (assume @p129 (forall @t234 (=> @t140 @t391))) % 0.42/0.93 (assume @p130 (forall @t236 (=> @t147 @t392))) % 0.42/0.93 (assume @p131 (forall @t238 (=> @t154 @t393))) % 0.42/0.93 (assume @p132 (forall @t240 (=> @t161 @t394))) % 0.42/0.93 (assume @p133 (forall (@list @t158 @t100) (= (_ (_ tptp.member_set_val @t158) @t103) (_ @t100 @t158)))) % 0.42/0.93 (assume @p134 (forall (@list @t144 @t108) (= (_ (_ tptp.member_val @t144) @t112) (_ @t108 @t144)))) % 0.42/0.93 (assume @p135 (forall @t61 (= (_ tptp.collect_set_val (lambda @t102 (_ @t133 @t8))) @t8))) % 0.42/0.93 (assume @p136 (forall @t62 (= (_ tptp.collect_val (lambda @t110 (_ @t135 @t16))) @t16))) % 0.42/0.93 (assume @p137 (forall @t114 (=> (forall @t21 (= @t131 @t130)) (= @t112 @t111)))) % 0.42/0.93 (assume @p138 (forall @t219 (=> (=> @t218 (not @t217)) (=> (=> @t382 (not @t214)) (=> (=> @t214 (not @t397)) (=> (=> @t397 (not @t382)) (=> (=> @t217 (not @t396)) (not (=> @t396 @t390))))))))) % 0.42/0.93 (assume @p139 (forall (@list @t210 @t29) (=> @t379 (= @t212 @t378)))) % 0.42/0.93 (assume @p140 (forall (@list @t215 @t1) (=> @t382 (= @t218 @t381)))) % 0.42/0.93 (assume @p141 (forall (@list @t221 @t32) (=> @t385 (= @t223 @t384)))) % 0.42/0.93 (assume @p142 (forall @t399 (=> @t388 @t398))) % 0.42/0.93 (assume @p143 (= @t172 (lambda @t169 (and @t167 @t168)))) % 0.42/0.93 (assume @p144 (= @t180 (lambda @t177 (and @t175 @t176)))) % 0.42/0.93 (assume @p145 (= @t117 (lambda @t185 (and @t183 @t184)))) % 0.42/0.93 (assume @p146 (= @t122 (lambda @t190 (and @t188 @t189)))) % 0.42/0.93 (assume @p147 (forall @t234 (=> @t138 @t391))) % 0.42/0.93 (assume @p148 (forall @t236 (=> @t145 @t392))) % 0.42/0.93 (assume @p149 (forall @t238 (=> @t152 @t393))) % 0.42/0.93 (assume @p150 (forall @t240 (=> @t159 @t394))) % 0.42/0.93 (assume @p151 (forall (@list @t400 @t29 @t402) (=> @t405 (=> @t404 (=> (forall (@list @t320) (=> (_ @t400 @t320) (=> (forall (@list @t403) (=> (_ @t400 @t403) (_ (_ tptp.ord_le994826475et_val @t403) @t320))) (_ @t402 @t320)))) (_ @t402 @t401)))))) % 0.42/0.93 (assume @p152 (forall (@list @t108 @t1 @t107) (=> @t409 (=> @t408 (=> (forall @t21 (=> @t131 (=> (forall (@list @t407) (=> (_ @t108 @t407) (_ (_ tptp.ord_less_eq_val @t407) @t19))) @t130))) (_ @t107 @t406)))))) % 0.42/0.93 (assume @p153 (forall (@list @t410 @t32 @t412) (=> @t415 (=> @t414 (=> (forall (@list @t287) (=> (_ @t410 @t287) (=> (forall (@list @t413) (=> (_ @t410 @t413) (_ (_ tptp.ord_le1742111550et_val @t413) @t287))) (_ @t412 @t287)))) (_ @t412 @t411)))))) % 0.42/0.93 (assume @p154 (forall (@list @t100 @t34 @t99) (=> @t420 (=> @t419 (=> (forall @t13 (=> @t129 (=> (forall (@list @t417) (=> (_ @t100 @t417) (_ (_ tptp.ord_less_eq_set_val @t417) @t11))) @t128))) (_ @t99 @t416)))))) % 0.42/0.93 (assume @p155 (forall (@list @t400 @t29) (=> @t405 (=> @t404 (= @t401 @t29))))) % 0.42/0.93 (assume @p156 (forall (@list @t108 @t1) (=> @t409 (=> @t408 (= @t406 @t1))))) % 0.42/0.93 (assume @p157 (forall (@list @t410 @t32) (=> @t415 (=> @t414 (= @t411 @t32))))) % 0.42/0.93 (assume @p158 (forall (@list @t100 @t34) (=> @t420 (=> @t419 (= @t416 @t34))))) % 0.42/0.93 (assume @p159 (forall (@list @t65 @t424 @t422 @t423 @t421) (=> (=> @t65 (_ (_ tptp.ord_le994826475et_val @t424) @t422)) (=> (=> @t425 (_ (_ tptp.ord_le994826475et_val @t423) @t421)) (_ (_ tptp.ord_le994826475et_val (_ (_ @t66 @t424) @t423)) (_ (_ @t66 @t422) @t421)))))) % 0.42/0.93 (assume @p160 (forall (@list @t65 @t429 @t427 @t428 @t426) (=> (=> @t65 (_ (_ tptp.ord_less_eq_val @t429) @t427)) (=> (=> @t425 (_ (_ tptp.ord_less_eq_val @t428) @t426)) (_ (_ tptp.ord_less_eq_val (_ (_ @t74 @t429) @t428)) (_ (_ @t74 @t427) @t426)))))) % 0.42/0.93 (assume @p161 (forall (@list @t65 @t433 @t431 @t432 @t430) (=> (=> @t65 (_ (_ tptp.ord_le1742111550et_val @t433) @t431)) (=> (=> @t425 (_ (_ tptp.ord_le1742111550et_val @t432) @t430)) (_ (_ tptp.ord_le1742111550et_val (_ (_ @t82 @t433) @t432)) (_ (_ @t82 @t431) @t430)))))) % 0.42/0.93 (assume @p162 (forall (@list @t65 @t437 @t435 @t436 @t434) (=> (=> @t65 (_ (_ tptp.ord_less_eq_set_val @t437) @t435)) (=> (=> @t425 (_ (_ tptp.ord_less_eq_set_val @t436) @t434)) (_ (_ tptp.ord_less_eq_set_val (_ (_ @t90 @t437) @t436)) (_ (_ @t90 @t435) @t434)))))) % 0.42/0.93 (assume @p163 (forall (@list @t65 @t68 @t438 @t67) (=> (=> @t65 (_ @t71 @t438)) (=> (=> @t425 (_ @t70 @t438)) (_ @t69 @t438))))) % 0.42/0.93 (assume @p164 (forall (@list @t65 @t76 @t439 @t75) (=> (=> @t65 (_ @t79 @t439)) (=> (=> @t425 (_ @t78 @t439)) (_ @t77 @t439))))) % 0.42/0.93 (assume @p165 (forall (@list @t65 @t84 @t440 @t83) (=> (=> @t65 (_ @t87 @t440)) (=> (=> @t425 (_ @t86 @t440)) (_ @t85 @t440))))) % 0.42/0.93 (assume @p166 (forall (@list @t65 @t93 @t441 @t92) (=> (=> @t65 (_ @t97 @t441)) (=> (=> @t425 (_ @t96 @t441)) (_ @t95 @t441))))) % 0.42/0.93 (assume @p167 (forall @t231 (or @t145 @t442 (not @t149)))) % 0.42/0.93 (assume @p168 (= tptp.ord_le994826475et_val (lambda (@list @t444 @t443) (and (_ (_ tptp.ord_less_eq_set_val (_ @t444 false)) (_ @t443 false)) (_ (_ tptp.ord_less_eq_set_val (_ @t444 true)) (_ @t443 true)))))) % 0.42/0.93 (assume @p169 (forall (@list @t246 @t34 @t226) (=> @t445 (=> @t229 (_ (_ tptp.ord_less_eq_set_val (_ @t246 @t226)) (_ @t246 @t34)))))) % 0.42/0.93 (assume @p170 (forall @t449 (=> @t448 (=> @t218 (_ (_ tptp.ord_less_eq_val @t447) @t446))))) % 0.42/0.93 (assume @p171 (forall (@list @t277 @t34 @t226) (=> @t450 (=> @t229 (_ (_ tptp.ord_less_eq_val (_ @t277 @t226)) (_ @t277 @t34)))))) % 0.42/0.93 (assume @p172 (forall @t454 (=> @t453 (=> @t218 (_ (_ tptp.ord_less_eq_set_val @t452) @t451))))) % 0.42/0.93 (assume @p173 (forall @t458 (=> @t457 (=> @t218 (_ (_ tptp.ord_le1742111550et_val @t456) @t455))))) % 0.42/0.93 (assume @p174 (forall (@list @t284 @t32 @t221) (=> @t459 (=> @t223 (_ (_ tptp.ord_less_eq_val (_ @t284 @t221)) (_ @t284 @t32)))))) % 0.42/0.93 (assume @p175 (forall (@list @t329 @t34 @t226) (=> @t460 (=> @t229 (_ (_ tptp.ord_le1742111550et_val (_ @t329 @t226)) (_ @t329 @t34)))))) % 0.42/0.93 (assume @p176 (forall (@list @t317 @t29 @t210) (=> @t461 (=> @t212 (_ (_ tptp.ord_less_eq_val (_ @t317 @t210)) (_ @t317 @t29)))))) % 0.42/0.93 (assume @p177 (forall @t465 (=> @t464 (=> @t218 (_ (_ tptp.ord_le994826475et_val @t463) @t462))))) % 0.42/0.93 (assume @p178 (forall (@list @t303 @t32 @t221) (=> @t466 (=> @t223 (_ (_ tptp.ord_less_eq_set_val (_ @t303 @t221)) (_ @t303 @t32)))))) % 0.42/0.93 (assume @p179 (forall (@list @t246) (=> (forall @t253 (=> @t252 (_ (_ tptp.ord_less_eq_set_val @t249) @t250))) @t445))) % 0.42/0.93 (assume @p180 (forall (@list @t259) (=> (forall @t264 (=> @t263 (_ (_ tptp.ord_less_eq_val @t261) @t262))) @t448))) % 0.42/0.93 (assume @p181 (forall (@list @t277) (=> (forall @t253 (=> @t252 (_ (_ tptp.ord_less_eq_val @t278) @t279))) @t450))) % 0.42/0.93 (assume @p182 (forall (@list @t270) (=> (forall @t264 (=> @t263 (_ (_ tptp.ord_less_eq_set_val @t271) @t272))) @t453))) % 0.42/0.93 (assume @p183 (forall (@list @t296) (=> (forall @t264 (=> @t263 (_ (_ tptp.ord_le1742111550et_val @t297) @t298))) @t457))) % 0.42/0.93 (assume @p184 (forall (@list @t284) (=> (forall @t290 (=> @t289 (_ (_ tptp.ord_less_eq_val @t286) @t288))) @t459))) % 0.42/0.93 (assume @p185 (forall (@list @t329) (=> (forall @t253 (=> @t252 (_ (_ tptp.ord_le1742111550et_val @t330) @t331))) @t460))) % 0.42/0.93 (assume @p186 (forall (@list @t317) (=> (forall @t323 (=> @t322 (_ (_ tptp.ord_less_eq_val @t319) @t321))) @t461))) % 0.42/0.93 (assume @p187 (forall (@list @t310) (=> (forall @t264 (=> @t263 (_ (_ tptp.ord_le994826475et_val @t311) @t312))) @t464))) % 0.42/0.93 (assume @p188 (forall (@list @t303) (=> (forall @t290 (=> @t289 (_ (_ tptp.ord_less_eq_set_val @t304) @t305))) @t466))) % 0.42/0.93 (assume @p189 (_ tptp.refine16560100et_val tptp.ord_le994826475et_val)) % 0.42/0.93 (assume @p190 (_ tptp.refine67622213oc_val tptp.ord_less_eq_val)) % 0.42/0.93 (assume @p191 (_ tptp.refine1506227973et_val tptp.ord_le1742111550et_val)) % 0.42/0.93 (assume @p192 (_ tptp.refine275900453et_val tptp.ord_less_eq_set_val)) % 0.42/0.93 (assume @p193 (forall @t470 (=> @t469 (_ @t35 (_ @t468 (_ @t467 @t34)))))) % 0.42/0.93 (assume @p194 (forall @t470 (=> @t469 (_ (_ tptp.ord_less_eq_set_val (_ @t467 (_ @t468 @t34))) @t34)))) % 0.42/0.93 (assume @p195 (forall (@list @t471 @t472 @t43 @t137) (=> @t473 (= (_ @t199 (_ @t472 @t137)) (_ (_ tptp.ord_le994826475et_val (_ @t471 @t43)) @t137))))) % 0.42/0.93 (assume @p196 (forall (@list @t474 @t475 @t43 @t151) (=> @t476 (= (_ @t199 (_ @t475 @t151)) (_ (_ tptp.ord_le1742111550et_val (_ @t474 @t43)) @t151))))) % 0.42/0.93 (assume @p197 (forall (@list @t477 @t478 @t191 @t158) (=> @t479 (= (_ @t192 (_ @t478 @t158)) (_ (_ tptp.ord_less_eq_set_val (_ @t477 @t191)) @t158))))) % 0.42/0.93 (assume @p198 (forall (@list @t480 @t481 @t191 @t137) (=> @t482 (= (_ @t192 (_ @t481 @t137)) (_ (_ tptp.ord_le994826475et_val (_ @t480 @t191)) @t137))))) % 0.42/0.93 (assume @p199 (forall (@list @t483 @t484 @t191 @t151) (=> @t485 (= (_ @t192 (_ @t484 @t151)) (_ (_ tptp.ord_le1742111550et_val (_ @t483 @t191)) @t151))))) % 0.42/0.93 (assume @p200 (forall (@list @t486 @t487 @t196 @t158) (=> @t488 (= (_ @t197 (_ @t487 @t158)) (_ (_ tptp.ord_less_eq_set_val (_ @t486 @t196)) @t158))))) % 0.42/0.93 (assume @p201 (forall (@list @t489 @t490 @t196 @t137) (=> @t491 (= (_ @t197 (_ @t490 @t137)) (_ (_ tptp.ord_le994826475et_val (_ @t489 @t196)) @t137))))) % 0.42/0.93 (assume @p202 (forall (@list @t492 @t493 @t196 @t151) (=> @t494 (= (_ @t197 (_ @t493 @t151)) (_ (_ tptp.ord_le1742111550et_val (_ @t492 @t196)) @t151))))) % 0.42/0.93 (assume @p203 (forall (@list @t467 @t468 @t43 @t158) (=> @t469 (= (_ @t199 (_ @t468 @t158)) (_ (_ tptp.ord_less_eq_set_val (_ @t467 @t43)) @t158))))) % 0.42/0.93 (assume @p204 (forall (@list @t472 @t471) (=> (forall (@list @t496 @t495) (= (_ @t497 (_ @t472 @t495)) (_ (_ tptp.ord_le994826475et_val (_ @t471 @t496)) @t495))) @t473))) % 0.42/0.93 (assume @p205 (forall (@list @t475 @t474) (=> (forall (@list @t496 @t498) (= (_ @t497 (_ @t475 @t498)) (_ (_ tptp.ord_le1742111550et_val (_ @t474 @t496)) @t498))) @t476))) % 0.42/0.93 (assume @p206 (forall (@list @t478 @t477) (=> (forall (@list @t500 @t499) (= (_ @t501 (_ @t478 @t499)) (_ (_ tptp.ord_less_eq_set_val (_ @t477 @t500)) @t499))) @t479))) % 0.42/0.93 (assume @p207 (forall (@list @t481 @t480) (=> (forall (@list @t500 @t495) (= (_ @t501 (_ @t481 @t495)) (_ (_ tptp.ord_le994826475et_val (_ @t480 @t500)) @t495))) @t482))) % 0.42/0.93 (assume @p208 (forall (@list @t484 @t483) (=> (forall (@list @t500 @t498) (= (_ @t501 (_ @t484 @t498)) (_ (_ tptp.ord_le1742111550et_val (_ @t483 @t500)) @t498))) @t485))) % 0.42/0.93 (assume @p209 (forall (@list @t487 @t486) (=> (forall (@list @t502 @t499) (= (_ @t503 (_ @t487 @t499)) (_ (_ tptp.ord_less_eq_set_val (_ @t486 @t502)) @t499))) @t488))) % 0.42/0.93 (assume @p210 (forall (@list @t490 @t489) (=> (forall (@list @t502 @t495) (= (_ @t503 (_ @t490 @t495)) (_ (_ tptp.ord_le994826475et_val (_ @t489 @t502)) @t495))) @t491))) % 0.42/0.93 (assume @p211 (forall (@list @t493 @t492) (=> (forall (@list @t502 @t498) (= (_ @t503 (_ @t493 @t498)) (_ (_ tptp.ord_le1742111550et_val (_ @t492 @t502)) @t498))) @t494))) % 0.42/0.93 (assume @p212 (forall (@list @t468 @t467) (=> (forall (@list @t496 @t499) (= (_ @t497 (_ @t468 @t499)) (_ (_ tptp.ord_less_eq_set_val (_ @t467 @t496)) @t499))) @t469))) % 0.42/0.93 (assume @p213 (forall (@list @t504 @t34) (=> @t505 (_ (_ @t504 @t34) @t34)))) % 0.42/0.93 (assume @p214 (forall (@list @t504) (=> (forall @t13 (_ (_ @t504 @t11) @t11)) @t505))) % 0.42/0.93 (assume @p215 (forall (@list @t504 @t93 @t89 @t92 @t88 @t65) (=> @t505 (=> (_ (_ @t504 @t93) @t89) (=> (_ (_ @t504 @t92) @t88) (_ (_ @t504 @t94) @t91)))))) % 0.42/0.93 (assume @p216 (forall (@list @t467 @t468) (=> @t469 (_ tptp.refine2057434761et_val @t467)))) % 0.42/0.93 (assume @p217 (forall @t454 (=> (_ tptp.order_99134233et_val @t270) (= (_ (_ tptp.ord_less_eq_set_val @t451) @t452) @t218)))) % 0.42/0.93 (assume @p218 (forall @t465 (=> (_ tptp.order_1205732848et_val @t310) (= (_ (_ tptp.ord_le994826475et_val @t462) @t463) @t218)))) % 0.42/0.93 (assume @p219 (forall @t449 (=> (_ tptp.order_1139042361al_val @t259) (= (_ (_ tptp.ord_less_eq_val @t446) @t447) @t218)))) % 0.42/0.93 (assume @p220 (forall @t458 (=> (_ tptp.order_68692473et_val @t296) (= (_ (_ tptp.ord_le1742111550et_val @t455) @t456) @t218)))) % 0.42/0.93 (assume @p221 (forall @t383 (= (_ (_ tptp.ord_less_eq_set_val (_ tptp.set_or1288365508an_val @t1)) (_ tptp.set_or1288365508an_val @t215)) @t382))) % 0.42/0.93 (assume @p222 (forall (@list @t357 @t191 @t137) (=> (_ (_ tptp.refine1593386065et_val @t357) @t191) (=> @t193 (=> (_ (_ tptp.refine511606705et_val @t191) @t357) (_ (_ tptp.ord_le994826475et_val @t357) @t137)))))) % 0.42/0.93 (assume @p223 (forall (@list @t358 @t45 @t144) (=> (_ (_ tptp.refine2021912633al_val @t358) @t45) (=> @t195 (=> (_ (_ tptp.refine403244856MP_val @t45) @t358) (_ (_ tptp.ord_less_eq_val @t358) @t144)))))) % 0.42/0.93 (assume @p224 (forall (@list @t360 @t196 @t151) (=> (_ (_ tptp.refine1034950713et_val @t360) @t196) (=> @t198 (=> (_ (_ tptp.refine1908789496et_val @t196) @t360) (_ (_ tptp.ord_le1742111550et_val @t360) @t151)))))) % 0.42/0.93 (assume @p225 (forall (@list @t361 @t43 @t158) (=> (_ (_ tptp.refine654574649et_val @t361) @t43) (=> @t200 (=> (_ (_ tptp.refine1893322264et_val @t43) @t361) (_ (_ tptp.ord_less_eq_set_val @t361) @t158)))))) % 0.42/0.93 (assume @p226 (forall @t383 (= (_ (_ tptp.ord_less_eq_set_val (_ tptp.set_ord_lessThan_val @t1)) (_ tptp.set_ord_lessThan_val @t215)) @t218))) % 0.42/0.93 (assume @p227 (forall @t386 (= (_ (_ tptp.ord_le1135847966et_val (_ tptp.set_or1337784553et_val @t32)) (_ tptp.set_or1337784553et_val @t221)) @t385))) % 0.42/0.93 (assume @p228 (forall @t389 (= (_ (_ tptp.ord_le1742111550et_val (_ tptp.set_or650197513et_val @t34)) (_ tptp.set_or650197513et_val @t226)) @t388))) % 0.42/0.93 (assume @p229 (forall @t383 (= (_ (_ tptp.ord_less_eq_set_val (_ tptp.set_ord_atLeast_val @t1)) (_ tptp.set_ord_atLeast_val @t215)) @t382))) % 0.42/0.93 (assume @p230 (forall @t509 (= (_ @t508 (_ tptp.set_ord_atLeast_val @t507)) (_ (_ tptp.ord_less_eq_val @t507) @t506)))) % 0.42/0.93 (assume @p231 (forall @t513 (= (_ @t512 (_ tptp.set_or650197513et_val @t511)) (_ (_ tptp.ord_less_eq_set_val @t511) @t510)))) % 0.42/0.93 (assume @p232 (forall @t208 (_ (_ tptp.ord_less_eq_set_val (_ tptp.set_or1288365508an_val @t144)) @t514))) % 0.42/0.93 (assume @p233 (forall @t231 (= (_ (_ tptp.ord_less_eq_set_val @t514) (_ tptp.set_or1288365508an_val @t143)) (_ (_ tptp.ord_less_val @t143) @t144)))) % 0.42/0.93 (assume @p234 (forall (@list @t515 @t518 @t516) (= (_ @t523 (_ tptp.set_or650197513et_val @t516)) (or @t520 (_ @t517 @t515))))) % 0.42/0.93 (assume @p235 (forall (@list @t524 @t526 @t525) (= (_ @t530 (_ tptp.set_ord_atLeast_val @t525)) (or @t528 (_ (_ tptp.ord_less_eq_val @t525) @t524))))) % 0.42/0.93 (assume @p236 (forall @t389 (= (_ (_ tptp.ord_le1742111550et_val (_ tptp.set_or867701765et_val @t34)) (_ tptp.set_or867701765et_val @t226)) @t229))) % 0.42/0.93 (assume @p237 (forall @t383 (= (_ (_ tptp.ord_less_eq_set_val (_ tptp.set_ord_atMost_val @t1)) (_ tptp.set_ord_atMost_val @t215)) @t218))) % 0.42/0.93 (assume @p238 (forall @t22 (=> @t18 (=> (not @t26) @t532)))) % 0.42/0.93 (assume @p239 (forall @t536 (=> @t535 @t534))) % 0.42/0.93 (assume @p240 (forall @t536 (= @t534 @t535))) % 0.42/0.93 (assume @p241 (forall @t539 (= (_ @t508 (_ @t529 @t537)) (and (_ @t527 @t506) (_ @t538 @t537))))) % 0.42/0.93 (assume @p242 (forall (@list @t510 @t515 @t540) (= (_ @t512 (_ @t521 @t540)) (and (_ @t519 @t510) (_ @t541 @t540))))) % 0.42/0.93 (assume @p243 (forall (@list @t515 @t518 @t516 @t542) (= (= @t522 (_ (_ tptp.set_or1554624499et_val @t516) @t542)) (or (and (= @t515 @t516) (= @t518 @t542)) (and @t520 (not (_ @t517 @t542))))))) % 0.42/0.93 (assume @p244 (forall @t509 (= (_ @t508 (_ tptp.set_ord_atMost_val @t507)) (_ @t538 @t507)))) % 0.42/0.93 (assume @p245 (forall @t513 (= (_ @t512 (_ tptp.set_or867701765et_val @t511)) (_ @t541 @t511)))) % 0.42/0.93 (assume @p246 (forall @t509 (= (_ @t508 (_ tptp.set_ord_lessThan_val @t507)) (_ @t543 @t507)))) % 0.42/0.93 (assume @p247 (forall @t22 (=> @t18 (_ (_ tptp.ord_less_eq_set_val @t544) @t533)))) % 0.42/0.93 (assume @p248 (forall @t22 (= (_ (_ tptp.ord_less_eq_set_val @t533) @t544) @t28))) % 0.42/0.93 (assume @p249 (forall @t509 (= (_ @t508 (_ tptp.set_or1288365508an_val @t507)) (_ (_ tptp.ord_less_val @t507) @t506)))) % 0.42/0.93 (assume @p250 (forall @t362 (= (_ (_ tptp.ord_le1742111550et_val @t548) @t547) (or @t546 (and @t200 @t545))))) % 0.42/0.93 (assume @p251 (forall @t359 (= (_ (_ tptp.ord_less_eq_set_val (_ (_ tptp.set_or18208019st_val @t144) @t143)) (_ (_ tptp.set_or18208019st_val @t45) @t358)) (or @t442 (and @t195 (_ @t148 @t358)))))) % 0.42/0.93 (assume @p252 (forall (@list @t515 @t518 @t542) (= (_ @t523 (_ tptp.set_or867701765et_val @t542)) (or @t520 (_ (_ tptp.ord_less_eq_set_val @t518) @t542))))) % 0.42/0.93 (assume @p253 (forall (@list @t524 @t526 @t549) (= (_ @t530 (_ tptp.set_ord_atMost_val @t549)) (or @t528 (_ (_ tptp.ord_less_eq_val @t526) @t549))))) % 0.42/0.93 (assume @p254 (forall @t362 (= (_ (_ tptp.ord_less_set_set_val @t548) @t547) (and (or @t546 (and @t200 @t545 (or @t552 (_ @t550 @t361)))) (_ @t199 @t361))))) % 0.42/0.93 (assume @p255 (forall @t536 (=> @t534 @t535))) % 0.42/0.93 (assume @p256 (forall @t231 (= (_ (_ tptp.ord_less_eq_set_val (_ tptp.set_ord_atMost_val @t144)) (_ tptp.set_ord_lessThan_val @t143)) (_ (_ tptp.ord_less_val @t144) @t143)))) % 0.42/0.93 (assume @p257 (forall @t399 (=> @t388 @t555))) % 0.42/0.93 (assume @p258 (= tptp.ord_less_eq_set_val (lambda @t377 (or (_ (_ tptp.ord_less_set_val @t98) @t374) @t556)))) % 0.42/0.93 (assume @p259 (forall @t338 (=> @t161 (=> (_ (_ tptp.ord_less_set_val @t257) @t43) (=> @t254 (_ (_ tptp.ord_less_set_val @t336) @t43)))))) % 0.42/0.93 (assume @p260 (forall @t258 (=> (_ @t557 @t257) (=> @t255 (=> @t254 (_ @t557 @t247)))))) % 0.42/0.93 (assume @p261 (forall @t232 (=> @t161 (=> @t559 @t558)))) % 0.42/0.93 (assume @p262 (forall @t389 (=> @t555 @t398))) % 0.42/0.93 (assume @p263 (forall @t389 (=> @t229 (= @t555 @t387)))) % 0.42/0.93 (assume @p264 (forall @t389 (=> @t554 @t229))) % 0.42/0.93 (assume @p265 (forall @t230 (=> @t229 (=> (_ (_ tptp.ord_less_set_val @t226) @t224) @t560)))) % 0.42/0.93 (assume @p266 (forall @t230 (=> @t554 (=> @t228 @t560)))) % 0.42/0.93 (assume @p267 (forall @t389 (=> @t229 (or @t554 @t387)))) % 0.42/0.93 (assume @p268 (= tptp.ord_less_set_val (lambda @t377 (and @t376 (not @t375))))) % 0.42/0.93 (assume @p269 (forall @t240 (=> @t161 (=> (_ @t550 @t43) @t561)))) % 0.42/0.93 (assume @p270 (forall @t240 (=> @t558 (=> @t255 @t561)))) % 0.42/0.93 (assume @p271 (= tptp.ord_less_eq_set_val (lambda @t190 (or (_ (_ tptp.ord_less_set_val @t187) @t186) @t562)))) % 0.42/0.93 (assume @p272 (= tptp.ord_less_set_val (lambda @t190 (and @t188 @t563)))) % 0.42/0.93 (assume @p273 (forall @t202 (=> @t163 (=> (_ @t551 @t157) @t552)))) % 0.42/0.93 (assume @p274 (forall @t202 (=> @t564 (=> @t201 @t552)))) % 0.42/0.93 (assume @p275 (forall @t232 (=> @t558 @t161))) % 0.42/0.93 (assume @p276 (= tptp.ord_less_eq_set_val (lambda @t565 (or (_ (_ tptp.ord_less_set_val @t186) @t187) @t562)))) % 0.42/0.93 (assume @p277 (= tptp.ord_less_set_val (lambda @t565 (and @t189 @t563)))) % 0.42/0.93 (assume @p278 (forall @t164 (=> @t564 @t163))) % 0.42/0.93 (assume @p279 (forall @t232 (=> @t559 (=> @t161 @t558)))) % 0.42/0.93 (assume @p280 (forall @t22 (=> @t532 (not (=> @t18 @t28))))) % 0.42/0.93 (assume @p281 (= tptp.ord_less_set_val (lambda @t60 (and @t119 (not @t566))))) % 0.42/0.93 (assume @p282 (forall @t22 (=> @t532 @t18))) % 0.42/0.93 (assume @p283 (forall @t127 (=> @t532 (=> @t126 @t567)))) % 0.42/0.93 (assume @p284 (= tptp.ord_less_set_val (lambda @t60 (and @t119 (not @t118))))) % 0.42/0.93 (assume @p285 (forall @t127 (=> @t18 (=> (_ (_ tptp.ord_less_set_val @t15) @t124) @t567)))) % 0.42/0.93 (assume @p286 (= tptp.ord_less_eq_set_val (lambda @t60 (or (_ (_ tptp.ord_less_set_val @t59) @t56) @t566)))) % 0.42/0.93 (assume @p287 (forall @t389 (= (_ @t570 @t568) @t388))) % 0.42/0.93 (assume @p288 (forall @t389 (=> @t229 (_ @t571 @t569)))) % 0.42/0.93 (assume @p289 (forall @t399 (=> (_ @t227 @t569) (_ @t35 @t568)))) % 0.42/0.93 (assume @p290 (forall @t399 (=> (_ @t571 @t34) (_ @t570 @t226)))) % 0.42/0.93 (assume @p291 (forall @t50 (=> @t532 @t49))) % 0.42/0.93 (assume @p292 (forall (@list @t45 @t15 @t16) (=> (=> (not @t47) @t48) @t573))) % 0.42/0.93 (assume @p293 (forall (@list @t45 @t16 @t15) (= @t573 (or @t48 @t47)))) % 0.42/0.93 (assume @p294 (forall @t230 (= (_ (_ tptp.ord_less_eq_set_val @t574) @t224) (and @t225 @t228)))) % 0.42/0.93 (assume @p295 (forall @t576 (= @t575 (and @t163 @t200)))) % 0.42/0.93 (assume @p296 (forall @t127 (= (_ (_ tptp.ord_less_eq_set_val @t572) @t124) (and @t125 @t126)))) % 0.42/0.93 (assume @p297 (forall @t539 (= (_ @t508 (_ (_ tptp.set_or2126567818an_val @t524) @t537)) (and (_ (_ tptp.ord_less_val @t524) @t506) (_ @t543 @t537))))) % 0.42/0.93 (assume @p298 (forall (@list @t43 @t157 @t158) (=> @t201 @t578))) % 0.42/0.93 (assume @p299 (forall (@list @t43 @t158 @t157) (=> @t200 @t578))) % 0.42/0.93 (assume @p300 (= tptp.ord_less_eq_set_val (lambda @t190 (= @t579 @t186)))) % 0.42/0.93 (assume @p301 (= tptp.ord_less_eq_set_val (lambda @t565 (= @t579 @t187)))) % 0.42/0.93 (assume @p302 (forall @t164 (_ @t162 @t577))) % 0.42/0.93 (assume @p303 (forall @t232 (_ @t160 @t577))) % 0.42/0.93 (assume @p304 (= tptp.ord_less_eq_set_val (lambda @t565 (= @t187 @t579)))) % 0.42/0.93 (assume @p305 (forall @t202 (=> @t163 (=> @t200 @t575)))) % 0.42/0.93 (assume @p306 (forall @t576 (=> @t575 (not (=> @t163 (not @t200)))))) % 0.42/0.93 (assume @p307 (forall @t389 (=> @t229 (= @t574 @t226)))) % 0.42/0.93 (assume @p308 (forall @t399 (=> @t388 (= @t574 @t34)))) % 0.42/0.93 (assume @p309 (forall @t232 (=> @t161 (= @t577 @t157)))) % 0.42/0.93 (assume @p310 (forall @t164 (=> @t163 (= @t577 @t158)))) % 0.42/0.93 (assume @p311 (forall (@list @t580 @t34 @t226) (=> (forall @t253 (_ @t251 @t582)) (=> (forall @t253 (_ @t418 @t582)) (=> (forall (@list @t11 @t248 @t581) (=> (_ @t418 @t11) (=> (_ (_ tptp.ord_less_eq_set_val @t581) @t11) (_ (_ tptp.ord_less_eq_set_val (_ (_ @t580 @t248) @t581)) @t11)))) (= @t574 (_ (_ @t580 @t34) @t226))))))) % 0.42/0.93 (assume @p312 (forall @t232 (=> (= @t158 @t577) @t163))) % 0.42/0.93 (assume @p313 (forall @t383 (= (_ (_ (_ tptp.if_val false) @t1) @t215) @t215))) % 0.42/0.93 (assume @p314 (forall @t383 (= (_ (_ (_ tptp.if_val true) @t1) @t215) @t1))) % 0.42/0.93 (assume @p315 (forall @t389 (= (_ (_ (_ tptp.if_set_val false) @t34) @t226) @t226))) % 0.42/0.93 (assume @p316 (forall @t389 (= (_ (_ (_ tptp.if_set_val true) @t34) @t226) @t34))) % 0.42/0.93 (assume @p317 (forall @t380 (= (_ (_ (_ tptp.if_o_set_val false) @t29) @t210) @t210))) % 0.42/0.93 (assume @p318 (forall @t380 (= (_ (_ (_ tptp.if_o_set_val true) @t29) @t210) @t29))) % 0.42/0.93 (assume @p319 (forall (@list @t583) (or (= @t583 true) (= @t583 false)))) % 0.42/0.93 (assume @p320 (forall @t386 (= (_ (_ (_ tptp.if_set_set_val false) @t32) @t221) @t221))) % 0.42/0.93 (assume @p321 (forall @t386 (= (_ (_ (_ tptp.if_set_set_val true) @t32) @t221) @t32))) % 0.42/0.93 (assume @p322 @t584) % 0.42/0.93 (assume @p323 true) % 0.42/0.93 (step @p324 (= tptp.ord_le1742111550et_val @t585) :rule refl :args (@t585)) % 0.42/0.93 (step @p325 (= tptp.ord_less_eq_set_val @t589) :rule refl :args (@t589)) % 0.42/0.93 (step @p326 (= tptp.ord_le994826475et_val @t593) :rule refl :args (@t593)) % 0.42/0.93 (step @p327 (= tptp.ord_le1441829300et_val @t596) :rule refl :args (@t596)) % 0.42/0.93 (step @p328 (= tptp.ord_less_eq_o_val @t599) :rule refl :args (@t599)) % 0.42/0.93 (step @p329 (= tptp.ord_le936627147et_val @t602) :rule refl :args (@t602)) % 0.42/0.93 (step @p330 (= tptp.order_1719375026et_val @t604) :rule refl :args (@t604)) % 0.42/0.93 (step @p331 (= tptp.order_1689798834al_val @t606) :rule refl :args (@t606)) % 0.42/0.93 (step @p332 (= tptp.order_1375876562al_val @t608) :rule refl :args (@t608)) % 0.42/0.93 (step @p333 (= tptp.order_1484138386et_val @t610) :rule refl :args (@t610)) % 0.42/0.93 (step @p334 (= tptp.order_1945059954et_val @t612) :rule refl :args (@t612)) % 0.42/0.93 (step @p335 (= tptp.order_1520822002al_val @t614) :rule refl :args (@t614)) % 0.42/0.93 (step @p336 (= tptp.order_1957703570et_val @t616) :rule refl :args (@t616)) % 0.42/0.93 (step @p337 (= tptp.order_23236447al_val @t618) :rule refl :args (@t618)) % 0.42/0.93 (step @p338 (= tptp.order_255079095et_val @t620) :rule refl :args (@t620)) % 0.42/0.93 (step @p339 (= tptp.order_650823122et_val @t622) :rule refl :args (@t622)) % 0.42/0.93 (step @p340 (= tptp.refine51544255et_val @t627) :rule refl :args (@t627)) % 0.42/0.93 (step @p341 (= tptp.refine1315043946et_val @t630) :rule refl :args (@t630)) % 0.42/0.93 (step @p342 (= tptp.refine1948536167et_val @t635) :rule refl :args (@t635)) % 0.42/0.93 (step @p343 (= tptp.refine1924899106et_val @t638) :rule refl :args (@t638)) % 0.42/0.93 (step @p344 (= tptp.refine1169396807et_val @t641) :rule refl :args (@t641)) % 0.42/0.93 (step @p345 (= tptp.refine8163498et_val @t646) :rule refl :args (@t646)) % 0.42/0.93 (step @p346 (= tptp.refine86398879et_val @t649) :rule refl :args (@t649)) % 0.42/0.93 (step @p347 (= tptp.refine855985034et_val @t652) :rule refl :args (@t652)) % 0.42/0.93 (step @p348 (= tptp.refine1929691018et_val @t655) :rule refl :args (@t655)) % 0.42/0.93 (step @p349 (= tptp.refine275900453et_val @t657) :rule refl :args (@t657)) % 0.42/0.93 (step @p350 (= tptp.ord_less_set_val @t658) :rule refl :args (@t658)) % 0.42/0.93 (step @p351 :rule refl :args (@t659)) % 0.42/0.93 (step @p352 :rule refl :args (@t3)) % 0.42/0.93 (step @p353 :rule cong :premises (@p352 @p351) :args ((= @t3 @t659))) % 0.42/0.93 (step @p354 :rule symm :premises (@p353)) % 0.42/0.93 (step @p355 :rule eq_resolve :premises (@p352 @p354)) % 0.42/0.93 (step @p356 :rule refl :args (@t660)) % 0.42/0.93 (step @p357 :rule refl :args (@t4)) % 0.42/0.93 (step @p358 :rule cong :premises (@p357 @p356) :args ((= @t4 @t660))) % 0.42/0.93 (step @p359 :rule symm :premises (@p358)) % 0.42/0.93 (step @p360 :rule eq_resolve :premises (@p357 @p359)) % 0.42/0.93 (step @p361 :rule cong :premises (@p360) :args (@t661)) % 0.42/0.93 (step @p362 :rule nary_cong :premises (@p361 @p355) :args (@t662)) % 0.42/0.93 (step @p363 :rule cong :premises (@p362) :args ((forall @t5 @t662))) % 0.42/0.93 (step @p364 :rule bool-impl-elim :args (@t4 @t3)) % 0.42/0.93 (step @p365 :rule cong :premises (@p364) :args (@t6)) % 0.42/0.93 (step @p366 :rule trans :premises (@p365 @p363)) % 0.42/0.93 (step @p367 :rule eq_resolve :premises (@p1 @p366)) % 0.42/0.93 (step @p368 :rule alpha_equiv :args (@t663 (@list @t1) (@list @t106))) % 0.42/0.93 (step @p369 :rule equiv_elim1 :premises (@p368)) % 0.42/0.93 (step @p370 :rule reordering :premises (@p369) :args ((or @t665 (not @t663)))) % 0.42/0.93 (step @p371 :rule chain_m_resolution :premises (@p370 @p367) :args (@t665 @t666 (@list @t663))) % 0.42/0.93 (step @p372 :rule beta-reduce :args ((= (_ @t668 tptp.p) @t665))) % 0.42/0.93 (step @p373 :rule refl :args (tptp.p)) % 0.42/0.93 (step @p374 :rule beta-reduce :args ((= @t670 @t668))) % 0.42/0.93 (step @p375 :rule ho_cong :premises (@p374 @p373)) % 0.42/0.93 (step @p376 :rule trans :premises (@p375 @p372)) % 0.42/0.93 (step @p377 :rule cong :premises (@p376) :args ((not (_ @t670 tptp.p)))) % 0.42/0.93 (step @p378 :rule refl :args (tptp.scc)) % 0.42/0.93 (step @p379 :rule refl :args (@t667)) % 0.42/0.93 (step @p380 :rule refl :args (@t586)) % 0.42/0.93 (step @p381 :rule cong :premises (@p380 @p379) :args ((= @t586 @t667))) % 0.42/0.93 (step @p382 :rule symm :premises (@p381)) % 0.42/0.93 (step @p383 :rule eq_resolve :premises (@p380 @p382)) % 0.42/0.93 (step @p384 :rule refl :args (@t669)) % 0.42/0.93 (step @p385 :rule refl :args (@t587)) % 0.42/0.93 (step @p386 :rule cong :premises (@p385 @p384) :args ((= @t587 @t669))) % 0.42/0.93 (step @p387 :rule symm :premises (@p386)) % 0.42/0.93 (step @p388 :rule eq_resolve :premises (@p385 @p387)) % 0.42/0.93 (step @p389 :rule cong :premises (@p388) :args (@t671)) % 0.42/0.93 (step @p390 :rule nary_cong :premises (@p389 @p383) :args (@t672)) % 0.42/0.93 (step @p391 :rule cong :premises (@p390) :args ((forall @t110 @t672))) % 0.42/0.93 (step @p392 :rule bool-impl-elim :args (@t587 @t586)) % 0.42/0.93 (step @p393 :rule cong :premises (@p392) :args (@t588)) % 0.42/0.93 (step @p394 :rule trans :premises (@p393 @p391)) % 0.42/0.93 (step @p395 :rule cong :premises (@p394) :args (@t589)) % 0.42/0.93 (step @p396 :rule trans :premises (@p325 @p395)) % 0.42/0.93 (step @p397 :rule ho_cong :premises (@p396 @p378)) % 0.42/0.93 (step @p398 :rule ho_cong :premises (@p397 @p373)) % 0.42/0.93 (step @p399 :rule cong :premises (@p398) :args (@t584)) % 0.42/0.93 (step @p400 :rule trans :premises (@p399 @p377)) % 0.42/0.93 (step @p401 :rule eq_resolve :premises (@p322 @p400)) % 0.42/0.93 (step @p402 false :rule chain_m_resolution :premises (@p401 @p371) :args (false @t666 (@list @t665))) % 0.42/0.93 ) % 0.42/0.93 % SZS output end Proof % 0.42/0.93 % cvc5 exiting %------------------------------------------------------------------------------