%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP195^1 : 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 : n018.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 08:25:20 AM UTC 2026 % Result : Theorem 0.45s 0.83s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP195^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 04:18:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.40/0.60 %----Proving TH0 % 0.45/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.83 % SZS status Theorem % 0.45/0.83 % SZS output start Proof % 0.45/0.83 ( % 0.45/0.83 (declare-sort tptp.nat 0) % 0.45/0.83 (declare-sort tptp.real 0) % 0.45/0.83 (declare-sort tptp.set_real 0) % 0.45/0.83 (declare-sort tptp.poly_poly_real 0) % 0.45/0.83 (declare-sort tptp.poly_poly_poly_real 0) % 0.45/0.83 (declare-sort tptp.int 0) % 0.45/0.83 (declare-sort tptp.poly_poly_nat 0) % 0.45/0.83 (declare-sort tptp.poly_real 0) % 0.45/0.83 (declare-sort tptp.poly_int 0) % 0.45/0.83 (declare-sort tptp.poly_poly_int 0) % 0.45/0.83 (declare-sort tptp.poly_nat 0) % 0.45/0.83 (declare-const tptp.zero_zero_real tptp.real) % 0.45/0.83 (declare-const tptp.pderiv_real (-> tptp.poly_real tptp.poly_real)) % 0.45/0.83 (declare-const tptp.poly_real2 (-> tptp.poly_real tptp.real tptp.real)) % 0.45/0.83 (declare-const tptp.zero_zero_poly_real tptp.poly_real) % 0.45/0.83 (declare-const tptp.zero_zero_poly_nat tptp.poly_nat) % 0.45/0.83 (declare-const tptp.zero_zero_poly_int tptp.poly_int) % 0.45/0.83 (declare-const tptp.zero_z1423781445y_real tptp.poly_poly_real) % 0.45/0.83 (declare-const tptp.ord_less_real (-> tptp.real tptp.real Bool)) % 0.45/0.83 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.45/0.83 (declare-const tptp.sturm_1279781401iation (-> tptp.real tptp.real tptp.int)) % 0.45/0.83 (declare-const tptp.one_one_nat tptp.nat) % 0.45/0.83 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.45/0.83 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 0.45/0.83 (declare-const tptp.ord_le893774876y_real (-> tptp.poly_poly_real tptp.poly_poly_real Bool)) % 0.45/0.83 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 0.45/0.83 (declare-const tptp.order_poly_poly_real (-> tptp.poly_poly_real tptp.poly_poly_poly_real tptp.nat)) % 0.45/0.83 (declare-const tptp.order_poly_int (-> tptp.poly_int tptp.poly_poly_int tptp.nat)) % 0.45/0.83 (declare-const tptp.order_int (-> tptp.int tptp.poly_int tptp.nat)) % 0.45/0.83 (declare-const tptp.order_real (-> tptp.real tptp.poly_real tptp.nat)) % 0.45/0.83 (declare-const tptp.poly_shift_nat (-> tptp.nat tptp.poly_nat tptp.poly_nat)) % 0.45/0.83 (declare-const tptp.poly_shift_real (-> tptp.nat tptp.poly_real tptp.poly_real)) % 0.45/0.83 (declare-const tptp.reflec144234502y_real (-> tptp.poly_poly_poly_real tptp.poly_poly_poly_real)) % 0.45/0.83 (declare-const tptp.ord_less_eq_poly_int (-> tptp.poly_int tptp.poly_int Bool)) % 0.45/0.83 (declare-const tptp.reflec943087998ly_int (-> tptp.poly_poly_int tptp.poly_poly_int)) % 0.45/0.83 (declare-const tptp.ord_le1180086932y_real (-> tptp.poly_real tptp.poly_real Bool)) % 0.45/0.83 (declare-const tptp.reflec781175074ly_nat (-> tptp.poly_poly_nat tptp.poly_poly_nat)) % 0.45/0.83 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 0.45/0.83 (declare-const tptp.reflect_poly_nat (-> tptp.poly_nat tptp.poly_nat)) % 0.45/0.83 (declare-const tptp.reflect_poly_int (-> tptp.poly_int tptp.poly_int)) % 0.45/0.83 (declare-const tptp.poly_poly_real2 (-> tptp.poly_poly_real tptp.poly_real tptp.poly_real)) % 0.45/0.83 (declare-const tptp.poly_poly_int2 (-> tptp.poly_poly_int tptp.poly_int tptp.poly_int)) % 0.45/0.83 (declare-const tptp.reflec1522834046y_real (-> tptp.poly_poly_real tptp.poly_poly_real)) % 0.45/0.83 (declare-const tptp.reflect_poly_real (-> tptp.poly_real tptp.poly_real)) % 0.45/0.83 (declare-const tptp.zero_z1549157189ly_int tptp.poly_poly_int) % 0.45/0.83 (declare-const tptp.poly_poly_nat2 (-> tptp.poly_poly_nat tptp.poly_nat tptp.poly_nat)) % 0.45/0.83 (declare-const tptp.zero_z1059985641ly_nat tptp.poly_poly_nat) % 0.45/0.83 (declare-const tptp.poly_int2 (-> tptp.poly_int tptp.int tptp.int)) % 0.45/0.83 (declare-const tptp.sturm_469514713_r_pos (-> tptp.poly_real tptp.real Bool)) % 0.45/0.83 (declare-const tptp.zero_z935034829y_real tptp.poly_poly_poly_real) % 0.45/0.83 (declare-const tptp.poly_poly_poly_real2 (-> tptp.poly_poly_poly_real tptp.poly_poly_real tptp.poly_poly_real)) % 0.45/0.83 (declare-const tptp.order_poly_real (-> tptp.poly_real tptp.poly_poly_real tptp.nat)) % 0.45/0.83 (declare-const tptp.p tptp.poly_real) % 0.45/0.83 (declare-const tptp.ord_less_poly_int (-> tptp.poly_int tptp.poly_int Bool)) % 0.45/0.83 (declare-const tptp.poly_c1404107022y_real (-> tptp.nat tptp.poly_poly_real tptp.poly_poly_real)) % 0.45/0.83 (declare-const tptp.zero_zero_nat tptp.nat) % 0.45/0.83 (declare-const tptp.zero_zero_int tptp.int) % 0.45/0.83 (declare-const tptp.poly_nat2 (-> tptp.poly_nat tptp.nat tptp.nat)) % 0.45/0.83 (declare-const tptp.x tptp.real) % 0.45/0.83 (declare-const tptp.poly_cutoff_nat (-> tptp.nat tptp.poly_nat tptp.poly_nat)) % 0.45/0.83 (declare-const tptp.poly_shift_poly_real (-> tptp.nat tptp.poly_poly_real tptp.poly_poly_real)) % 0.45/0.83 (declare-const tptp.ord_less_poly_real (-> tptp.poly_real tptp.poly_real Bool)) % 0.45/0.83 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.45/0.83 (declare-const tptp.poly_cutoff_int (-> tptp.nat tptp.poly_int tptp.poly_int)) % 0.45/0.83 (declare-const tptp.poly_shift_int (-> tptp.nat tptp.poly_int tptp.poly_int)) % 0.45/0.83 (declare-const tptp.ord_le38482960y_real (-> tptp.poly_poly_real tptp.poly_poly_real Bool)) % 0.45/0.83 (declare-const tptp.poly_cutoff_real (-> tptp.nat tptp.poly_real tptp.poly_real)) % 0.45/0.83 (declare-const tptp.pderiv_nat (-> tptp.poly_nat tptp.poly_nat)) % 0.45/0.83 (declare-const tptp.pderiv_int (-> tptp.poly_int tptp.poly_int)) % 0.45/0.83 (declare-const tptp.pderiv_poly_real (-> tptp.poly_poly_real tptp.poly_poly_real)) % 0.45/0.83 (define tptp.rsquarefree_real () (let ((_let_1 (@var "A2" tptp.real))) (let ((_let_2 (@var "P2" tptp.poly_real))) (lambda (@list _let_2) (forall (@list _let_1) (not (and (= (_ (_ tptp.poly_real2 _let_2) _let_1) tptp.zero_zero_real) (= (_ (_ tptp.poly_real2 (_ tptp.pderiv_real _let_2)) _let_1) tptp.zero_zero_real)))))))) % 0.45/0.83 (define tptp.is_zero_real () (let ((_let_1 (@var "P2" tptp.poly_real))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_poly_real)))) % 0.45/0.83 (define tptp.is_zero_nat () (let ((_let_1 (@var "P2" tptp.poly_nat))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_poly_nat)))) % 0.45/0.83 (define tptp.is_zero_int () (let ((_let_1 (@var "P2" tptp.poly_int))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_poly_int)))) % 0.45/0.83 (define tptp.is_zero_poly_real () (let ((_let_1 (@var "P2" tptp.poly_poly_real))) (lambda (@list _let_1) (= _let_1 tptp.zero_z1423781445y_real)))) % 0.45/0.83 (define tptp.ord_less_eq_real () (let ((_let_1 (@var "Y2" tptp.real))) (let ((_let_2 (@var "X3" tptp.real))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_real _let_2) _let_1) (= _let_2 _let_1)))))) % 0.45/0.83 (define tptp.ord_less_nat () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "M2" tptp.nat))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_nat _let_2) _let_1) (not (= _let_2 _let_1))))))) % 0.45/0.83 (define tptp.sturm_1953858694_cross () (let ((_let_1 (@var "B3" tptp.real))) (let ((_let_2 (@var "P2" tptp.poly_real))) (let ((_let_3 (_ tptp.poly_real2 _let_2))) (let ((_let_4 (@var "A2" tptp.real))) (lambda (@list _let_2 _let_4 _let_1) (_ (_ tptp.sturm_1279781401iation (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))) % 0.45/0.83 (define @t1 () (_ (_ tptp.poly_real2 tptp.p) tptp.x)) % 0.45/0.83 (define @t2 () (= @t1 tptp.zero_zero_real)) % 0.45/0.83 (define @t3 () (not @t2)) % 0.45/0.83 (define @t4 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 0.45/0.83 (define @t5 () (_ @t4 @t1)) % 0.45/0.83 (define @t6 () (_ (_ tptp.sturm_469514713_r_pos tptp.p) tptp.x)) % 0.45/0.83 (define @t7 () (=> @t6 @t5)) % 0.45/0.83 (define @t8 () (=> @t5 @t6)) % 0.45/0.83 (define @t9 () (@var "X" tptp.poly_nat)) % 0.45/0.83 (define @t10 () (@list @t9)) % 0.45/0.83 (define @t11 () (@var "X" tptp.poly_int)) % 0.45/0.83 (define @t12 () (@list @t11)) % 0.45/0.83 (define @t13 () (@var "X" tptp.poly_poly_real)) % 0.45/0.83 (define @t14 () (@list @t13)) % 0.45/0.83 (define @t15 () (@var "X" tptp.poly_real)) % 0.45/0.83 (define @t16 () (@list @t15)) % 0.45/0.83 (define @t17 () (@var "X" tptp.int)) % 0.45/0.83 (define @t18 () (@list @t17)) % 0.45/0.83 (define @t19 () (@var "X" tptp.nat)) % 0.45/0.83 (define @t20 () (@list @t19)) % 0.45/0.83 (define @t21 () (@var "X" tptp.real)) % 0.45/0.83 (define @t22 () (@list @t21)) % 0.45/0.83 (define @t23 () (@var "N" tptp.nat)) % 0.45/0.83 (define @t24 () (= @t23 tptp.zero_zero_nat)) % 0.45/0.83 (define @t25 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.45/0.83 (define @t26 () (_ @t25 @t23)) % 0.45/0.83 (define @t27 () (@list @t23)) % 0.45/0.83 (define @t28 () (@var "X2" tptp.real)) % 0.45/0.83 (define @t29 () (@var "P" tptp.poly_real)) % 0.45/0.83 (define @t30 () (_ tptp.poly_real2 @t29)) % 0.45/0.83 (define @t31 () (= (_ @t30 @t28) tptp.zero_zero_real)) % 0.45/0.83 (define @t32 () (@var "B" tptp.real)) % 0.45/0.83 (define @t33 () (_ tptp.ord_less_real @t28)) % 0.45/0.83 (define @t34 () (_ @t33 @t32)) % 0.45/0.83 (define @t35 () (@var "A" tptp.real)) % 0.45/0.83 (define @t36 () (_ tptp.ord_less_real @t35)) % 0.45/0.83 (define @t37 () (_ @t36 @t28)) % 0.45/0.83 (define @t38 () (@list @t28)) % 0.45/0.83 (define @t39 () (exists @t38 (and @t37 @t34 @t31))) % 0.45/0.83 (define @t40 () (_ @t30 @t32)) % 0.45/0.83 (define @t41 () (_ @t30 @t35)) % 0.45/0.83 (define @t42 () (_ @t36 @t32)) % 0.45/0.83 (define @t43 () (@list @t35 @t32 @t29)) % 0.45/0.83 (define @t44 () (@var "P" tptp.poly_poly_int)) % 0.45/0.83 (define @t45 () (= @t44 tptp.zero_z1549157189ly_int)) % 0.45/0.83 (define @t46 () (@var "X3" tptp.poly_int)) % 0.45/0.83 (define @t47 () (_ tptp.poly_poly_int2 @t44)) % 0.45/0.83 (define @t48 () (@list @t44)) % 0.45/0.83 (define @t49 () (@var "P" tptp.poly_poly_poly_real)) % 0.45/0.83 (define @t50 () (= @t49 tptp.zero_z935034829y_real)) % 0.45/0.83 (define @t51 () (@var "X3" tptp.poly_poly_real)) % 0.45/0.83 (define @t52 () (_ tptp.poly_poly_poly_real2 @t49)) % 0.45/0.83 (define @t53 () (@list @t49)) % 0.45/0.83 (define @t54 () (= @t29 tptp.zero_zero_poly_real)) % 0.45/0.83 (define @t55 () (@var "X3" tptp.real)) % 0.45/0.83 (define @t56 () (@list @t55)) % 0.45/0.83 (define @t57 () (@list @t29)) % 0.45/0.83 (define @t58 () (@var "P" tptp.poly_poly_real)) % 0.45/0.83 (define @t59 () (= @t58 tptp.zero_z1423781445y_real)) % 0.45/0.83 (define @t60 () (@var "X3" tptp.poly_real)) % 0.45/0.83 (define @t61 () (_ tptp.poly_poly_real2 @t58)) % 0.45/0.83 (define @t62 () (@list @t58)) % 0.45/0.83 (define @t63 () (@var "P" tptp.poly_int)) % 0.45/0.83 (define @t64 () (= @t63 tptp.zero_zero_poly_int)) % 0.45/0.83 (define @t65 () (@var "X3" tptp.int)) % 0.45/0.83 (define @t66 () (_ tptp.poly_int2 @t63)) % 0.45/0.83 (define @t67 () (@list @t63)) % 0.45/0.83 (define @t68 () (@var "D2" tptp.real)) % 0.45/0.83 (define @t69 () (@var "E" tptp.real)) % 0.45/0.83 (define @t70 () (_ tptp.ord_less_real @t69)) % 0.45/0.83 (define @t71 () (@var "D1" tptp.real)) % 0.45/0.83 (define @t72 () (not @t24)) % 0.45/0.83 (define @t73 () (_ tptp.ord_less_nat @t23)) % 0.45/0.83 (define @t74 () (@var "M" tptp.nat)) % 0.45/0.83 (define @t75 () (_ (_ tptp.ord_less_nat @t74) @t23)) % 0.45/0.83 (define @t76 () (@list @t74 @t23)) % 0.45/0.83 (define @t77 () (@var "Q" tptp.poly_real)) % 0.45/0.83 (define @t78 () (@var "Q" tptp.poly_int)) % 0.45/0.83 (define @t79 () (@var "Q" tptp.poly_poly_real)) % 0.45/0.83 (define @t80 () (@list @t35 @t32)) % 0.45/0.83 (define @t81 () (@var "P" tptp.poly_nat)) % 0.45/0.83 (define @t82 () (@var "P" tptp.poly_poly_nat)) % 0.45/0.83 (define @t83 () (@var "Z" tptp.real)) % 0.45/0.83 (define @t84 () (not (= (_ @t30 @t83) tptp.zero_zero_real))) % 0.45/0.83 (define @t85 () (@var "Ub" tptp.real)) % 0.45/0.83 (define @t86 () (@var "Lb" tptp.real)) % 0.45/0.83 (define @t87 () (_ tptp.ord_less_real @t86)) % 0.45/0.83 (define @t88 () (@list @t83)) % 0.45/0.83 (define @t89 () (not @t54)) % 0.45/0.83 (define @t90 () (@var "Ub2" tptp.real)) % 0.45/0.83 (define @t91 () (@var "Lb2" tptp.real)) % 0.45/0.83 (define @t92 () (= (_ (_ tptp.order_real @t35) @t29) tptp.zero_zero_nat)) % 0.45/0.83 (define @t93 () (= @t41 tptp.zero_zero_real)) % 0.45/0.83 (define @t94 () (@list @t29 @t35)) % 0.45/0.83 (define @t95 () (@var "A" tptp.poly_real)) % 0.45/0.83 (define @t96 () (= (_ (_ tptp.order_poly_real @t95) @t58) tptp.zero_zero_nat)) % 0.45/0.83 (define @t97 () (= (_ @t61 @t95) tptp.zero_zero_poly_real)) % 0.45/0.83 (define @t98 () (@list @t58 @t95)) % 0.45/0.83 (define @t99 () (@var "A" tptp.int)) % 0.45/0.83 (define @t100 () (= (_ (_ tptp.order_int @t99) @t63) tptp.zero_zero_nat)) % 0.45/0.83 (define @t101 () (= (_ @t66 @t99) tptp.zero_zero_int)) % 0.45/0.83 (define @t102 () (@list @t63 @t99)) % 0.45/0.83 (define @t103 () (@var "A" tptp.poly_int)) % 0.45/0.83 (define @t104 () (= (_ (_ tptp.order_poly_int @t103) @t44) tptp.zero_zero_nat)) % 0.45/0.83 (define @t105 () (= (_ @t47 @t103) tptp.zero_zero_poly_int)) % 0.45/0.83 (define @t106 () (@list @t44 @t103)) % 0.45/0.83 (define @t107 () (@var "A" tptp.poly_poly_real)) % 0.45/0.83 (define @t108 () (= (_ (_ tptp.order_poly_poly_real @t107) @t49) tptp.zero_zero_nat)) % 0.45/0.83 (define @t109 () (= (_ @t52 @t107) tptp.zero_z1423781445y_real)) % 0.45/0.83 (define @t110 () (@list @t49 @t107)) % 0.45/0.83 (define @t111 () (_ tptp.ord_less_eq_nat @t23)) % 0.45/0.83 (define @t112 () (@var "Y" tptp.real)) % 0.45/0.83 (define @t113 () (_ tptp.ord_less_eq_real @t28)) % 0.45/0.83 (define @t114 () (@var "S" tptp.set_real)) % 0.45/0.83 (define @t115 () (forall @t38 (=> (_ (_ tptp.member_real @t28) @t114) (_ @t113 @t83)))) % 0.45/0.83 (define @t116 () (@var "X4" tptp.real)) % 0.45/0.83 (define @t117 () (_ tptp.ord_less_eq_real @t116)) % 0.45/0.83 (define @t118 () (_ (_ tptp.member_real @t116) @t114)) % 0.45/0.83 (define @t119 () (@list @t116)) % 0.45/0.83 (define @t120 () (@list @t112)) % 0.45/0.83 (define @t121 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.45/0.83 (define @t122 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 0.45/0.83 (define @t123 () (@var "Z2" tptp.real)) % 0.45/0.83 (define @t124 () (_ @t30 @t123)) % 0.45/0.83 (define @t125 () (_ (_ tptp.ord_less_real @t124) tptp.zero_zero_real)) % 0.45/0.83 (define @t126 () (and (_ @t87 @t123) (_ (_ tptp.ord_less_eq_real @t123) @t90))) % 0.45/0.83 (define @t127 () (@list @t123)) % 0.45/0.83 (define @t128 () (_ @t4 @t124)) % 0.45/0.83 (define @t129 () (not (= @t124 tptp.zero_zero_real))) % 0.45/0.83 (define @t130 () (@list @t86 @t90 @t29)) % 0.45/0.83 (define @t131 () (and (_ (_ tptp.ord_less_eq_real @t86) @t123) (_ (_ tptp.ord_less_real @t123) @t90))) % 0.45/0.83 (define @t132 () (@var "A" tptp.nat)) % 0.45/0.83 (define @t133 () (= @t132 tptp.zero_zero_nat)) % 0.45/0.83 (define @t134 () (@list @t132)) % 0.45/0.83 (define @t135 () (_ tptp.ord_less_eq_real @t21)) % 0.45/0.83 (define @t136 () (_ tptp.ord_less_eq_nat @t19)) % 0.45/0.83 (define @t137 () (_ tptp.ord_less_eq_int @t17)) % 0.45/0.83 (define @t138 () (@var "T" tptp.real)) % 0.45/0.83 (define @t139 () (_ (_ tptp.ord_less_eq_real @t138) @t116)) % 0.45/0.83 (define @t140 () (@var "Z3" tptp.real)) % 0.45/0.83 (define @t141 () (_ (_ tptp.ord_less_real @t116) @t140)) % 0.45/0.83 (define @t142 () (@list @t140)) % 0.45/0.83 (define @t143 () (@list @t138)) % 0.45/0.83 (define @t144 () (@var "X4" tptp.nat)) % 0.45/0.83 (define @t145 () (@var "T" tptp.nat)) % 0.45/0.83 (define @t146 () (_ (_ tptp.ord_less_eq_nat @t145) @t144)) % 0.45/0.83 (define @t147 () (@var "Z3" tptp.nat)) % 0.45/0.83 (define @t148 () (_ (_ tptp.ord_less_nat @t144) @t147)) % 0.45/0.83 (define @t149 () (@list @t144)) % 0.45/0.83 (define @t150 () (@list @t147)) % 0.45/0.83 (define @t151 () (@list @t145)) % 0.45/0.83 (define @t152 () (@var "X4" tptp.int)) % 0.45/0.83 (define @t153 () (@var "T" tptp.int)) % 0.45/0.83 (define @t154 () (_ (_ tptp.ord_less_eq_int @t153) @t152)) % 0.45/0.83 (define @t155 () (@var "Z3" tptp.int)) % 0.45/0.83 (define @t156 () (_ (_ tptp.ord_less_int @t152) @t155)) % 0.45/0.83 (define @t157 () (@list @t152)) % 0.45/0.83 (define @t158 () (@list @t155)) % 0.45/0.83 (define @t159 () (@list @t153)) % 0.45/0.83 (define @t160 () (_ @t117 @t138)) % 0.45/0.83 (define @t161 () (_ (_ tptp.ord_less_eq_nat @t144) @t145)) % 0.45/0.83 (define @t162 () (_ (_ tptp.ord_less_eq_int @t152) @t153)) % 0.45/0.83 (define @t163 () (@var "P3" (-> tptp.real Bool))) % 0.45/0.83 (define @t164 () (@var "A3" tptp.set_real)) % 0.45/0.83 (define @t165 () (_ tptp.ord_less_real @t140)) % 0.45/0.83 (define @t166 () (_ @t165 @t116)) % 0.45/0.83 (define @t167 () (_ (_ tptp.ord_less_nat @t147) @t144)) % 0.45/0.83 (define @t168 () (_ (_ tptp.ord_less_int @t155) @t152)) % 0.45/0.83 (define @t169 () (@var "B2" tptp.real)) % 0.45/0.83 (define @t170 () (@var "A4" tptp.real)) % 0.45/0.83 (define @t171 () (@var "B2" tptp.nat)) % 0.45/0.83 (define @t172 () (@var "A4" tptp.nat)) % 0.45/0.83 (define @t173 () (@var "B2" tptp.int)) % 0.45/0.83 (define @t174 () (@var "A4" tptp.int)) % 0.45/0.83 (define @t175 () (_ tptp.ord_less_eq_nat @t74)) % 0.45/0.83 (define @t176 () (_ @t175 @t23)) % 0.45/0.83 (define @t177 () (@var "N2" tptp.nat)) % 0.45/0.83 (define @t178 () (@var "M2" tptp.nat)) % 0.45/0.83 (define @t179 () (= @t178 @t177)) % 0.45/0.83 (define @t180 () (_ (_ tptp.ord_less_nat @t178) @t177)) % 0.45/0.83 (define @t181 () (@list @t178 @t177)) % 0.45/0.83 (define @t182 () (= @t74 @t23)) % 0.45/0.83 (define @t183 () (not @t182)) % 0.45/0.83 (define @t184 () (@var "J" tptp.nat)) % 0.45/0.83 (define @t185 () (@var "F" (-> tptp.nat tptp.nat))) % 0.45/0.83 (define @t186 () (@var "I" tptp.nat)) % 0.45/0.83 (define @t187 () (_ tptp.ord_less_eq_nat @t186)) % 0.45/0.83 (define @t188 () (_ @t187 @t184)) % 0.45/0.83 (define @t189 () (@var "J2" tptp.nat)) % 0.45/0.83 (define @t190 () (@var "I2" tptp.nat)) % 0.45/0.83 (define @t191 () (@var "Y3" tptp.nat)) % 0.45/0.83 (define @t192 () (_ tptp.ord_less_nat @t191)) % 0.45/0.83 (define @t193 () (_ @t192 @t19)) % 0.45/0.83 (define @t194 () (_ tptp.ord_less_nat @t19)) % 0.45/0.83 (define @t195 () (_ @t194 @t191)) % 0.45/0.83 (define @t196 () (not @t195)) % 0.45/0.83 (define @t197 () (= @t19 @t191)) % 0.45/0.83 (define @t198 () (not @t197)) % 0.45/0.83 (define @t199 () (@list @t19 @t191)) % 0.45/0.83 (define @t200 () (@var "P3" (-> tptp.nat Bool))) % 0.45/0.83 (define @t201 () (_ @t200 @t23)) % 0.45/0.83 (define @t202 () (@var "M3" tptp.nat)) % 0.45/0.83 (define @t203 () (_ @t200 @t202)) % 0.45/0.83 (define @t204 () (@var "N3" tptp.nat)) % 0.45/0.83 (define @t205 () (_ (_ tptp.ord_less_nat @t202) @t204)) % 0.45/0.83 (define @t206 () (@list @t202)) % 0.45/0.83 (define @t207 () (_ @t200 @t204)) % 0.45/0.83 (define @t208 () (=> (not @t207) (exists @t206 (and @t205 (not @t203))))) % 0.45/0.83 (define @t209 () (@list @t204)) % 0.45/0.83 (define @t210 () (@list @t200 @t23)) % 0.45/0.83 (define @t211 () (@var "S2" tptp.nat)) % 0.45/0.83 (define @t212 () (_ @t73 @t74)) % 0.45/0.83 (define @t213 () (@list @t23 @t74)) % 0.45/0.83 (define @t214 () (_ tptp.ord_less_eq_nat @t132)) % 0.45/0.83 (define @t215 () (_ @t214 tptp.zero_zero_nat)) % 0.45/0.83 (define @t216 () (@var "K" tptp.nat)) % 0.45/0.83 (define @t217 () (@var "I3" tptp.nat)) % 0.45/0.83 (define @t218 () (_ @t200 tptp.zero_zero_nat)) % 0.45/0.83 (define @t219 () (@var "P4" Bool)) % 0.45/0.83 (define @t220 () (@var "X5" tptp.int)) % 0.45/0.83 (define @t221 () (_ @t122 @t220)) % 0.45/0.83 (define @t222 () (@var "P3" Bool)) % 0.45/0.83 (define @t223 () (_ @t122 @t17)) % 0.45/0.83 (define @t224 () (=> @t221 (= @t222 @t219))) % 0.45/0.83 (define @t225 () (= @t17 @t220)) % 0.45/0.83 (define @t226 () (@list @t17 @t220 @t222 @t219)) % 0.45/0.83 (define @t227 () (@var "C" tptp.real)) % 0.45/0.83 (define @t228 () (@var "F" (-> tptp.real tptp.real))) % 0.45/0.83 (define @t229 () (_ @t228 @t227)) % 0.45/0.83 (define @t230 () (_ tptp.ord_less_eq_real @t35)) % 0.45/0.83 (define @t231 () (_ @t228 @t112)) % 0.45/0.83 (define @t232 () (_ @t228 @t28)) % 0.45/0.83 (define @t233 () (_ @t113 @t112)) % 0.45/0.83 (define @t234 () (@list @t28 @t112)) % 0.45/0.83 (define @t235 () (forall @t234 (=> @t233 (_ (_ tptp.ord_less_eq_real @t232) @t231)))) % 0.45/0.83 (define @t236 () (_ tptp.ord_less_eq_real @t32)) % 0.45/0.83 (define @t237 () (_ @t236 @t227)) % 0.45/0.83 (define @t238 () (=> @t237 (=> @t235 (_ @t230 @t229)))) % 0.45/0.83 (define @t239 () (_ @t228 @t32)) % 0.45/0.83 (define @t240 () (@list @t35 @t228 @t32 @t227)) % 0.45/0.83 (define @t241 () (@var "C" tptp.nat)) % 0.45/0.83 (define @t242 () (@var "F" (-> tptp.nat tptp.real))) % 0.45/0.83 (define @t243 () (_ @t242 @t241)) % 0.45/0.83 (define @t244 () (@var "Y" tptp.nat)) % 0.45/0.83 (define @t245 () (_ @t242 @t244)) % 0.45/0.83 (define @t246 () (@var "X2" tptp.nat)) % 0.45/0.83 (define @t247 () (_ @t242 @t246)) % 0.45/0.83 (define @t248 () (_ (_ tptp.ord_less_eq_nat @t246) @t244)) % 0.45/0.83 (define @t249 () (@list @t246 @t244)) % 0.45/0.83 (define @t250 () (forall @t249 (=> @t248 (_ (_ tptp.ord_less_eq_real @t247) @t245)))) % 0.45/0.83 (define @t251 () (@var "B" tptp.nat)) % 0.45/0.83 (define @t252 () (_ tptp.ord_less_eq_nat @t251)) % 0.45/0.83 (define @t253 () (_ @t252 @t241)) % 0.45/0.83 (define @t254 () (=> @t253 (=> @t250 (_ @t230 @t243)))) % 0.45/0.83 (define @t255 () (_ @t242 @t251)) % 0.45/0.83 (define @t256 () (@list @t35 @t242 @t251 @t241)) % 0.45/0.83 (define @t257 () (@var "C" tptp.int)) % 0.45/0.83 (define @t258 () (@var "F" (-> tptp.int tptp.real))) % 0.45/0.83 (define @t259 () (@var "Y" tptp.int)) % 0.45/0.83 (define @t260 () (@var "X2" tptp.int)) % 0.45/0.83 (define @t261 () (_ (_ tptp.ord_less_eq_int @t260) @t259)) % 0.45/0.83 (define @t262 () (@list @t260 @t259)) % 0.45/0.83 (define @t263 () (forall @t262 (=> @t261 (_ (_ tptp.ord_less_eq_real (_ @t258 @t260)) (_ @t258 @t259))))) % 0.45/0.83 (define @t264 () (@var "B" tptp.int)) % 0.45/0.83 (define @t265 () (_ tptp.ord_less_eq_int @t264)) % 0.45/0.83 (define @t266 () (_ @t265 @t257)) % 0.45/0.83 (define @t267 () (=> @t266 (=> @t263 (_ @t230 (_ @t258 @t257))))) % 0.45/0.83 (define @t268 () (_ @t258 @t264)) % 0.45/0.83 (define @t269 () (@list @t35 @t258 @t264 @t257)) % 0.45/0.83 (define @t270 () (@var "F" (-> tptp.real tptp.nat))) % 0.45/0.83 (define @t271 () (_ @t270 @t227)) % 0.45/0.83 (define @t272 () (_ @t270 @t112)) % 0.45/0.83 (define @t273 () (_ @t270 @t28)) % 0.45/0.83 (define @t274 () (forall @t234 (=> @t233 (_ (_ tptp.ord_less_eq_nat @t273) @t272)))) % 0.45/0.83 (define @t275 () (=> @t237 (=> @t274 (_ @t214 @t271)))) % 0.45/0.83 (define @t276 () (_ @t270 @t32)) % 0.45/0.83 (define @t277 () (@list @t132 @t270 @t32 @t227)) % 0.45/0.83 (define @t278 () (_ @t185 @t241)) % 0.45/0.83 (define @t279 () (_ @t185 @t244)) % 0.45/0.83 (define @t280 () (_ @t185 @t246)) % 0.45/0.83 (define @t281 () (forall @t249 (=> @t248 (_ (_ tptp.ord_less_eq_nat @t280) @t279)))) % 0.45/0.83 (define @t282 () (=> @t253 (=> @t281 (_ @t214 @t278)))) % 0.45/0.83 (define @t283 () (_ @t185 @t251)) % 0.45/0.83 (define @t284 () (@list @t132 @t185 @t251 @t241)) % 0.45/0.83 (define @t285 () (@var "F" (-> tptp.int tptp.nat))) % 0.45/0.83 (define @t286 () (forall @t262 (=> @t261 (_ (_ tptp.ord_less_eq_nat (_ @t285 @t260)) (_ @t285 @t259))))) % 0.45/0.83 (define @t287 () (=> @t266 (=> @t286 (_ @t214 (_ @t285 @t257))))) % 0.45/0.83 (define @t288 () (_ @t285 @t264)) % 0.45/0.83 (define @t289 () (@list @t132 @t285 @t264 @t257)) % 0.45/0.83 (define @t290 () (@var "F" (-> tptp.real tptp.int))) % 0.45/0.83 (define @t291 () (_ tptp.ord_less_eq_int @t99)) % 0.45/0.83 (define @t292 () (forall @t234 (=> @t233 (_ (_ tptp.ord_less_eq_int (_ @t290 @t28)) (_ @t290 @t112))))) % 0.45/0.83 (define @t293 () (=> @t237 (=> @t292 (_ @t291 (_ @t290 @t227))))) % 0.45/0.83 (define @t294 () (_ @t290 @t32)) % 0.45/0.83 (define @t295 () (@list @t99 @t290 @t32 @t227)) % 0.45/0.83 (define @t296 () (@var "F" (-> tptp.nat tptp.int))) % 0.45/0.83 (define @t297 () (forall @t249 (=> @t248 (_ (_ tptp.ord_less_eq_int (_ @t296 @t246)) (_ @t296 @t244))))) % 0.45/0.83 (define @t298 () (=> @t253 (=> @t297 (_ @t291 (_ @t296 @t241))))) % 0.45/0.83 (define @t299 () (_ @t296 @t251)) % 0.45/0.83 (define @t300 () (@list @t99 @t296 @t251 @t241)) % 0.45/0.83 (define @t301 () (@var "F" (-> tptp.int tptp.int))) % 0.45/0.83 (define @t302 () (forall @t262 (=> @t261 (_ (_ tptp.ord_less_eq_int (_ @t301 @t260)) (_ @t301 @t259))))) % 0.45/0.83 (define @t303 () (=> @t266 (=> @t302 (_ @t291 (_ @t301 @t257))))) % 0.45/0.83 (define @t304 () (_ @t301 @t264)) % 0.45/0.83 (define @t305 () (@list @t99 @t301 @t264 @t257)) % 0.45/0.83 (define @t306 () (_ @t228 @t35)) % 0.45/0.83 (define @t307 () (=> @t235 (_ (_ tptp.ord_less_eq_real @t306) @t227))) % 0.45/0.83 (define @t308 () (_ @t230 @t32)) % 0.45/0.83 (define @t309 () (@list @t35 @t32 @t228 @t227)) % 0.45/0.83 (define @t310 () (_ @t270 @t35)) % 0.45/0.83 (define @t311 () (=> @t274 (_ (_ tptp.ord_less_eq_nat @t310) @t241))) % 0.45/0.83 (define @t312 () (@list @t35 @t32 @t270 @t241)) % 0.45/0.83 (define @t313 () (=> @t292 (_ (_ tptp.ord_less_eq_int (_ @t290 @t35)) @t257))) % 0.45/0.83 (define @t314 () (@list @t35 @t32 @t290 @t257)) % 0.45/0.83 (define @t315 () (_ @t242 @t132)) % 0.45/0.83 (define @t316 () (=> @t250 (_ (_ tptp.ord_less_eq_real @t315) @t227))) % 0.45/0.83 (define @t317 () (_ @t214 @t251)) % 0.45/0.83 (define @t318 () (@list @t132 @t251 @t242 @t227)) % 0.45/0.83 (define @t319 () (_ @t185 @t132)) % 0.45/0.83 (define @t320 () (=> @t281 (_ (_ tptp.ord_less_eq_nat @t319) @t241))) % 0.45/0.83 (define @t321 () (@list @t132 @t251 @t185 @t241)) % 0.45/0.83 (define @t322 () (=> @t297 (_ (_ tptp.ord_less_eq_int (_ @t296 @t132)) @t257))) % 0.45/0.83 (define @t323 () (@list @t132 @t251 @t296 @t257)) % 0.45/0.83 (define @t324 () (=> @t263 (_ (_ tptp.ord_less_eq_real (_ @t258 @t99)) @t227))) % 0.45/0.83 (define @t325 () (_ @t291 @t264)) % 0.45/0.83 (define @t326 () (@list @t99 @t264 @t258 @t227)) % 0.45/0.83 (define @t327 () (=> @t286 (_ (_ tptp.ord_less_eq_nat (_ @t285 @t99)) @t241))) % 0.45/0.83 (define @t328 () (@list @t99 @t264 @t285 @t241)) % 0.45/0.83 (define @t329 () (=> @t302 (_ (_ tptp.ord_less_eq_int (_ @t301 @t99)) @t257))) % 0.45/0.83 (define @t330 () (@list @t99 @t264 @t301 @t257)) % 0.45/0.83 (define @t331 () (_ @t236 @t35)) % 0.45/0.83 (define @t332 () (= @t35 @t32)) % 0.45/0.83 (define @t333 () (_ @t252 @t132)) % 0.45/0.83 (define @t334 () (= @t132 @t251)) % 0.45/0.83 (define @t335 () (@list @t132 @t251)) % 0.45/0.83 (define @t336 () (_ @t265 @t99)) % 0.45/0.83 (define @t337 () (= @t99 @t264)) % 0.45/0.83 (define @t338 () (@list @t99 @t264)) % 0.45/0.83 (define @t339 () (= @t35 @t239)) % 0.45/0.83 (define @t340 () (= @t132 @t276)) % 0.45/0.83 (define @t341 () (= @t35 @t255)) % 0.45/0.83 (define @t342 () (= @t132 @t283)) % 0.45/0.83 (define @t343 () (= @t239 @t227)) % 0.45/0.83 (define @t344 () (= @t276 @t241)) % 0.45/0.83 (define @t345 () (= @t255 @t227)) % 0.45/0.83 (define @t346 () (= @t283 @t241)) % 0.45/0.83 (define @t347 () (@var "Y2" tptp.real)) % 0.45/0.83 (define @t348 () (@list @t55 @t347)) % 0.45/0.83 (define @t349 () (@var "Z4" tptp.real)) % 0.45/0.83 (define @t350 () (@var "Y4" tptp.real)) % 0.45/0.83 (define @t351 () (lambda (@list @t350 @t349) (= @t350 @t349))) % 0.45/0.83 (define @t352 () (@var "X3" tptp.nat)) % 0.45/0.83 (define @t353 () (@var "Y2" tptp.nat)) % 0.45/0.83 (define @t354 () (@var "Z4" tptp.nat)) % 0.45/0.83 (define @t355 () (@var "Y4" tptp.nat)) % 0.45/0.83 (define @t356 () (lambda (@list @t355 @t354) (= @t355 @t354))) % 0.45/0.83 (define @t357 () (@var "Y2" tptp.int)) % 0.45/0.83 (define @t358 () (@var "Z4" tptp.int)) % 0.45/0.83 (define @t359 () (@var "Y4" tptp.int)) % 0.45/0.83 (define @t360 () (lambda (@list @t359 @t358) (= @t359 @t358))) % 0.45/0.83 (define @t361 () (@var "Y3" tptp.real)) % 0.45/0.83 (define @t362 () (= @t21 @t361)) % 0.45/0.83 (define @t363 () (_ tptp.ord_less_eq_real @t361)) % 0.45/0.83 (define @t364 () (_ @t363 @t21)) % 0.45/0.83 (define @t365 () (_ @t135 @t361)) % 0.45/0.83 (define @t366 () (@list @t21 @t361)) % 0.45/0.83 (define @t367 () (_ tptp.ord_less_eq_nat @t191)) % 0.45/0.83 (define @t368 () (_ @t367 @t19)) % 0.45/0.83 (define @t369 () (_ @t136 @t191)) % 0.45/0.83 (define @t370 () (@var "Y3" tptp.int)) % 0.45/0.83 (define @t371 () (= @t17 @t370)) % 0.45/0.83 (define @t372 () (_ tptp.ord_less_eq_int @t370)) % 0.45/0.83 (define @t373 () (_ @t372 @t17)) % 0.45/0.83 (define @t374 () (_ @t137 @t370)) % 0.45/0.83 (define @t375 () (@list @t17 @t370)) % 0.45/0.83 (define @t376 () (not @t365)) % 0.45/0.83 (define @t377 () (not @t369)) % 0.45/0.83 (define @t378 () (not @t374)) % 0.45/0.83 (define @t379 () (_ @t230 @t227)) % 0.45/0.83 (define @t380 () (=> @t237 @t379)) % 0.45/0.83 (define @t381 () (@list @t35 @t32 @t227)) % 0.45/0.83 (define @t382 () (_ @t214 @t241)) % 0.45/0.83 (define @t383 () (=> @t253 @t382)) % 0.45/0.83 (define @t384 () (@list @t132 @t251 @t241)) % 0.45/0.83 (define @t385 () (_ @t291 @t257)) % 0.45/0.83 (define @t386 () (=> @t266 @t385)) % 0.45/0.83 (define @t387 () (@list @t99 @t264 @t257)) % 0.45/0.83 (define @t388 () (@var "Z5" tptp.real)) % 0.45/0.83 (define @t389 () (_ tptp.ord_less_eq_real @t388)) % 0.45/0.83 (define @t390 () (_ @t389 @t21)) % 0.45/0.83 (define @t391 () (_ @t363 @t388)) % 0.45/0.83 (define @t392 () (_ @t389 @t361)) % 0.45/0.83 (define @t393 () (_ @t135 @t388)) % 0.45/0.83 (define @t394 () (@list @t21 @t361 @t388)) % 0.45/0.83 (define @t395 () (@var "Z5" tptp.nat)) % 0.45/0.83 (define @t396 () (_ tptp.ord_less_eq_nat @t395)) % 0.45/0.83 (define @t397 () (_ @t396 @t19)) % 0.45/0.83 (define @t398 () (_ @t367 @t395)) % 0.45/0.83 (define @t399 () (_ @t396 @t191)) % 0.45/0.83 (define @t400 () (_ @t136 @t395)) % 0.45/0.83 (define @t401 () (@list @t19 @t191 @t395)) % 0.45/0.83 (define @t402 () (@var "Z5" tptp.int)) % 0.45/0.83 (define @t403 () (_ tptp.ord_less_eq_int @t402)) % 0.45/0.83 (define @t404 () (_ @t403 @t17)) % 0.45/0.83 (define @t405 () (_ @t372 @t402)) % 0.45/0.83 (define @t406 () (_ @t403 @t370)) % 0.45/0.83 (define @t407 () (_ @t137 @t402)) % 0.45/0.83 (define @t408 () (@list @t17 @t370 @t402)) % 0.45/0.83 (define @t409 () (@list @t361 @t21)) % 0.45/0.83 (define @t410 () (@list @t191 @t19)) % 0.45/0.83 (define @t411 () (@var "A2" tptp.real)) % 0.45/0.83 (define @t412 () (@var "B3" tptp.real)) % 0.45/0.83 (define @t413 () (_ (_ tptp.ord_less_eq_real @t412) @t411)) % 0.45/0.83 (define @t414 () (_ (_ tptp.ord_less_eq_real @t411) @t412)) % 0.45/0.83 (define @t415 () (@list @t411 @t412)) % 0.45/0.83 (define @t416 () (@var "A2" tptp.nat)) % 0.45/0.83 (define @t417 () (@var "B3" tptp.nat)) % 0.45/0.83 (define @t418 () (_ (_ tptp.ord_less_eq_nat @t417) @t416)) % 0.45/0.83 (define @t419 () (_ (_ tptp.ord_less_eq_nat @t416) @t417)) % 0.45/0.83 (define @t420 () (@list @t416 @t417)) % 0.45/0.83 (define @t421 () (@var "A2" tptp.int)) % 0.45/0.83 (define @t422 () (@var "B3" tptp.int)) % 0.45/0.83 (define @t423 () (_ (_ tptp.ord_less_eq_int @t422) @t421)) % 0.45/0.83 (define @t424 () (_ (_ tptp.ord_less_eq_int @t421) @t422)) % 0.45/0.83 (define @t425 () (@list @t421 @t422)) % 0.45/0.83 (define @t426 () (= @t32 @t227)) % 0.45/0.83 (define @t427 () (= @t251 @t241)) % 0.45/0.83 (define @t428 () (@list @t35)) % 0.45/0.83 (define @t429 () (@var "P3" (-> tptp.real tptp.real Bool))) % 0.45/0.83 (define @t430 () (@var "B4" tptp.real)) % 0.45/0.83 (define @t431 () (@var "A5" tptp.real)) % 0.45/0.83 (define @t432 () (_ @t429 @t431)) % 0.45/0.83 (define @t433 () (_ @t432 @t430)) % 0.45/0.83 (define @t434 () (@list @t431 @t430)) % 0.45/0.83 (define @t435 () (=> (forall @t434 (=> (_ (_ @t429 @t430) @t431) @t433)) (_ (_ @t429 @t35) @t32))) % 0.45/0.83 (define @t436 () (@list @t429 @t35 @t32)) % 0.45/0.83 (define @t437 () (@var "P3" (-> tptp.nat tptp.nat Bool))) % 0.45/0.83 (define @t438 () (@var "B4" tptp.nat)) % 0.45/0.83 (define @t439 () (@var "A5" tptp.nat)) % 0.45/0.83 (define @t440 () (_ @t437 @t439)) % 0.45/0.83 (define @t441 () (_ @t440 @t438)) % 0.45/0.83 (define @t442 () (@list @t439 @t438)) % 0.45/0.83 (define @t443 () (=> (forall @t442 (=> (_ (_ @t437 @t438) @t439) @t441)) (_ (_ @t437 @t132) @t251))) % 0.45/0.83 (define @t444 () (@list @t437 @t132 @t251)) % 0.45/0.83 (define @t445 () (@var "P3" (-> tptp.int tptp.int Bool))) % 0.45/0.83 (define @t446 () (@var "B4" tptp.int)) % 0.45/0.83 (define @t447 () (@var "A5" tptp.int)) % 0.45/0.83 (define @t448 () (_ (_ @t445 @t447) @t446)) % 0.45/0.83 (define @t449 () (@list @t447 @t446)) % 0.45/0.83 (define @t450 () (_ tptp.ord_less_eq_real @t227)) % 0.45/0.83 (define @t451 () (@list @t32 @t35 @t227)) % 0.45/0.83 (define @t452 () (_ tptp.ord_less_eq_nat @t241)) % 0.45/0.83 (define @t453 () (@list @t251 @t132 @t241)) % 0.45/0.83 (define @t454 () (_ tptp.ord_less_eq_int @t257)) % 0.45/0.83 (define @t455 () (@list @t32 @t35)) % 0.45/0.83 (define @t456 () (@list @t251 @t132)) % 0.45/0.83 (define @t457 () (not @t332)) % 0.45/0.83 (define @t458 () (_ tptp.ord_less_real @t32)) % 0.45/0.83 (define @t459 () (_ @t458 @t35)) % 0.45/0.83 (define @t460 () (not @t334)) % 0.45/0.83 (define @t461 () (_ tptp.ord_less_nat @t251)) % 0.45/0.83 (define @t462 () (_ @t461 @t132)) % 0.45/0.83 (define @t463 () (_ tptp.ord_less_nat @t132)) % 0.45/0.83 (define @t464 () (_ @t463 @t251)) % 0.45/0.83 (define @t465 () (_ tptp.ord_less_real @t361)) % 0.45/0.83 (define @t466 () (_ @t465 @t21)) % 0.45/0.83 (define @t467 () (_ tptp.ord_less_real @t21)) % 0.45/0.83 (define @t468 () (_ @t467 @t361)) % 0.45/0.83 (define @t469 () (not @t468)) % 0.45/0.83 (define @t470 () (_ tptp.ord_less_real @t227)) % 0.45/0.83 (define @t471 () (_ tptp.ord_less_nat @t241)) % 0.45/0.83 (define @t472 () (@var "P6" (-> tptp.nat Bool))) % 0.45/0.83 (define @t473 () (@var "X6" tptp.nat)) % 0.45/0.83 (define @t474 () (@var "P5" (-> tptp.nat Bool))) % 0.45/0.83 (define @t475 () (not @t466)) % 0.45/0.83 (define @t476 () (not @t193)) % 0.45/0.83 (define @t477 () (_ @t36 @t227)) % 0.45/0.83 (define @t478 () (_ @t458 @t227)) % 0.45/0.83 (define @t479 () (=> @t478 @t477)) % 0.45/0.83 (define @t480 () (_ @t463 @t241)) % 0.45/0.83 (define @t481 () (_ @t461 @t241)) % 0.45/0.83 (define @t482 () (=> @t481 @t480)) % 0.45/0.83 (define @t483 () (not @t362)) % 0.45/0.83 (define @t484 () (_ @t200 @t246)) % 0.45/0.83 (define @t485 () (@var "Y5" tptp.nat)) % 0.45/0.83 (define @t486 () (_ @t200 @t485)) % 0.45/0.83 (define @t487 () (@list @t485)) % 0.45/0.83 (define @t488 () (@list @t246)) % 0.45/0.83 (define @t489 () (@var "X_1" tptp.real)) % 0.45/0.83 (define @t490 () (@var "X_1" tptp.nat)) % 0.45/0.83 (define @t491 () (_ @t33 @t112)) % 0.45/0.83 (define @t492 () (forall @t234 (=> @t491 (_ (_ tptp.ord_less_real @t232) @t231)))) % 0.45/0.83 (define @t493 () (=> @t492 (_ (_ tptp.ord_less_real @t306) @t227))) % 0.45/0.83 (define @t494 () (forall @t234 (=> @t491 (_ (_ tptp.ord_less_nat @t273) @t272)))) % 0.45/0.83 (define @t495 () (=> @t494 (_ (_ tptp.ord_less_nat @t310) @t241))) % 0.45/0.83 (define @t496 () (_ (_ tptp.ord_less_nat @t246) @t244)) % 0.45/0.83 (define @t497 () (forall @t249 (=> @t496 (_ (_ tptp.ord_less_real @t247) @t245)))) % 0.45/0.83 (define @t498 () (=> @t497 (_ (_ tptp.ord_less_real @t315) @t227))) % 0.45/0.83 (define @t499 () (forall @t249 (=> @t496 (_ (_ tptp.ord_less_nat @t280) @t279)))) % 0.45/0.83 (define @t500 () (=> @t499 (_ (_ tptp.ord_less_nat @t319) @t241))) % 0.45/0.83 (define @t501 () (=> @t478 (=> @t492 (_ @t36 @t229)))) % 0.45/0.83 (define @t502 () (=> @t481 (=> @t497 (_ @t36 @t243)))) % 0.45/0.83 (define @t503 () (=> @t478 (=> @t494 (_ @t463 @t271)))) % 0.45/0.83 (define @t504 () (=> @t481 (=> @t499 (_ @t463 @t278)))) % 0.45/0.83 (define @t505 () (@var "Y22" tptp.nat)) % 0.45/0.83 (define @t506 () (@var "X22" tptp.nat)) % 0.45/0.83 (define @t507 () (@var "Nat2" tptp.nat)) % 0.45/0.83 (define @t508 () (@var "Nat" tptp.nat)) % 0.45/0.83 (define @t509 () (_ tptp.suc @t23)) % 0.45/0.83 (define @t510 () (_ tptp.suc @t74)) % 0.45/0.83 (define @t511 () (_ (_ tptp.ord_less_nat @t510) @t509)) % 0.45/0.83 (define @t512 () (_ @t111 @t74)) % 0.45/0.83 (define @t513 () (_ tptp.ord_less_eq_nat @t509)) % 0.45/0.83 (define @t514 () (_ tptp.suc tptp.zero_zero_nat)) % 0.45/0.83 (define @t515 () (@var "R" (-> tptp.nat tptp.nat Bool))) % 0.45/0.83 (define @t516 () (_ tptp.suc @t204)) % 0.45/0.83 (define @t517 () (_ @t515 @t246)) % 0.45/0.83 (define @t518 () (@var "K2" tptp.nat)) % 0.45/0.83 (define @t519 () (not @t176)) % 0.45/0.83 (define @t520 () (= @t74 @t509)) % 0.45/0.83 (define @t521 () (_ @t175 @t509)) % 0.45/0.83 (define @t522 () (@var "M5" tptp.nat)) % 0.45/0.83 (define @t523 () (@var "M4" tptp.nat)) % 0.45/0.83 (define @t524 () (=> @t3 @t5)) % 0.45/0.83 (define @t525 () (_ tptp.pderiv_real tptp.p)) % 0.45/0.83 (define @t526 () (_ (_ tptp.sturm_469514713_r_pos @t525) tptp.x)) % 0.45/0.83 (define @t527 () (=> @t2 @t526)) % 0.45/0.83 (define @t528 () (and @t527 @t524)) % 0.45/0.83 (define @t529 () (not @t528)) % 0.45/0.83 (define @t530 () (= @t6 @t529)) % 0.45/0.83 (define @t531 () (@var "P2" tptp.poly_real)) % 0.45/0.83 (define @t532 () (_ tptp.poly_real2 @t531)) % 0.45/0.83 (define @t533 () (_ @t532 @t411)) % 0.45/0.83 (define @t534 () (@list @t531)) % 0.45/0.83 (define @t535 () (lambda @t534 (forall (@list @t411) (not (and (= @t533 tptp.zero_zero_real) (= (_ (_ tptp.poly_real2 (_ tptp.pderiv_real @t531)) @t411) tptp.zero_zero_real)))))) % 0.45/0.83 (define @t536 () (lambda @t534 (= @t531 tptp.zero_zero_poly_real))) % 0.45/0.83 (define @t537 () (@var "P2" tptp.poly_nat)) % 0.45/0.83 (define @t538 () (lambda (@list @t537) (= @t537 tptp.zero_zero_poly_nat))) % 0.45/0.83 (define @t539 () (@var "P2" tptp.poly_int)) % 0.45/0.83 (define @t540 () (lambda (@list @t539) (= @t539 tptp.zero_zero_poly_int))) % 0.45/0.83 (define @t541 () (@var "P2" tptp.poly_poly_real)) % 0.45/0.83 (define @t542 () (lambda (@list @t541) (= @t541 tptp.zero_z1423781445y_real))) % 0.45/0.83 (define @t543 () (lambda @t348 (or (_ (_ tptp.ord_less_real @t55) @t347) (= @t55 @t347)))) % 0.45/0.83 (define @t544 () (lambda @t181 (and (_ (_ tptp.ord_less_eq_nat @t178) @t177) (not @t179)))) % 0.45/0.83 (define @t545 () (lambda (@list @t531 @t411 @t412) (_ (_ tptp.sturm_1279781401iation @t533) (_ @t532 @t412)))) % 0.45/0.83 (define @t546 () (tptp.poly_real2 tptp.p tptp.x)) % 0.45/0.83 (define @t547 () (= tptp.zero_zero_real @t1)) % 0.45/0.83 (define @t548 () (not @t547)) % 0.45/0.83 (define @t549 () (tptp.pderiv_real tptp.p)) % 0.45/0.83 (define @t550 () (tptp.sturm_469514713_r_pos @t549 tptp.x)) % 0.45/0.83 (define @t551 () (= tptp.zero_zero_real @t546)) % 0.45/0.83 (define @t552 () (=> @t551 @t550)) % 0.45/0.83 (define @t553 () (tptp.sturm_469514713_r_pos tptp.p tptp.x)) % 0.45/0.83 (define @t554 () (tptp.ord_less_real tptp.zero_zero_real @t546)) % 0.45/0.83 (define @t555 () (not @t551)) % 0.45/0.83 (define @t556 () (=> @t555 @t554)) % 0.45/0.83 (define @t557 () (and @t552 @t556)) % 0.45/0.83 (define @t558 () (not @t557)) % 0.45/0.83 (define @t559 () (=> @t548 @t5)) % 0.45/0.83 (define @t560 () (=> @t547 @t526)) % 0.45/0.83 (define @t561 () (and @t560 @t559)) % 0.45/0.83 (define @t562 () (not @t561)) % 0.45/0.83 (define @t563 () (not @t556)) % 0.45/0.83 (define @t564 () (not @t553)) % 0.45/0.83 (define @t565 () (@list false)) % 0.45/0.83 (define @t566 () (@list @t553)) % 0.45/0.83 (assume @p1 @t3) % 0.45/0.83 (assume @p2 @t7) % 0.45/0.83 (assume @p3 @t8) % 0.45/0.83 (assume @p4 (not (= tptp.p tptp.zero_zero_poly_real))) % 0.45/0.83 (assume @p5 (forall @t10 (= (_ (_ tptp.poly_poly_nat2 tptp.zero_z1059985641ly_nat) @t9) tptp.zero_zero_poly_nat))) % 0.45/0.83 (assume @p6 (forall @t12 (= (_ (_ tptp.poly_poly_int2 tptp.zero_z1549157189ly_int) @t11) tptp.zero_zero_poly_int))) % 0.45/0.83 (assume @p7 (forall @t14 (= (_ (_ tptp.poly_poly_poly_real2 tptp.zero_z935034829y_real) @t13) tptp.zero_z1423781445y_real))) % 0.45/0.83 (assume @p8 (forall @t16 (= (_ (_ tptp.poly_poly_real2 tptp.zero_z1423781445y_real) @t15) tptp.zero_zero_poly_real))) % 0.45/0.83 (assume @p9 (forall @t18 (= (_ (_ tptp.poly_int2 tptp.zero_zero_poly_int) @t17) tptp.zero_zero_int))) % 0.45/0.83 (assume @p10 (forall @t20 (= (_ (_ tptp.poly_nat2 tptp.zero_zero_poly_nat) @t19) tptp.zero_zero_nat))) % 0.45/0.83 (assume @p11 (forall @t22 (= (_ (_ tptp.poly_real2 tptp.zero_zero_poly_real) @t21) tptp.zero_zero_real))) % 0.45/0.83 (assume @p12 (forall @t27 (= (not @t26) @t24))) % 0.45/0.83 (assume @p13 (forall @t43 (=> @t42 (=> (_ @t4 @t41) (=> (_ (_ tptp.ord_less_real @t40) tptp.zero_zero_real) @t39))))) % 0.45/0.83 (assume @p14 (forall @t43 (=> @t42 (=> (_ (_ tptp.ord_less_real @t41) tptp.zero_zero_real) (=> (_ @t4 @t40) @t39))))) % 0.45/0.83 (assume @p15 (forall @t48 (= (forall (@list @t46) (= (_ @t47 @t46) tptp.zero_zero_poly_int)) @t45))) % 0.45/0.83 (assume @p16 (forall @t53 (= (forall (@list @t51) (= (_ @t52 @t51) tptp.zero_z1423781445y_real)) @t50))) % 0.45/0.83 (assume @p17 (forall @t57 (= (forall @t56 (= (_ @t30 @t55) tptp.zero_zero_real)) @t54))) % 0.45/0.83 (assume @p18 (forall @t62 (= (forall (@list @t60) (= (_ @t61 @t60) tptp.zero_zero_poly_real)) @t59))) % 0.45/0.83 (assume @p19 (forall @t67 (= (forall (@list @t65) (= (_ @t66 @t65) tptp.zero_zero_int)) @t64))) % 0.45/0.83 (assume @p20 (not (_ (_ tptp.ord_less_poly_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real))) % 0.45/0.83 (assume @p21 (not (_ (_ tptp.ord_less_int tptp.zero_zero_int) tptp.zero_zero_int))) % 0.45/0.83 (assume @p22 (not (_ (_ tptp.ord_less_poly_int tptp.zero_zero_poly_int) tptp.zero_zero_poly_int))) % 0.45/0.83 (assume @p23 (not (_ (_ tptp.ord_le38482960y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real))) % 0.45/0.83 (assume @p24 (not (_ @t4 tptp.zero_zero_real))) % 0.45/0.83 (assume @p25 (not (_ @t25 tptp.zero_zero_nat))) % 0.45/0.83 (assume @p26 (forall (@list @t71 @t68) (=> (_ @t4 @t71) (=> (_ @t4 @t68) (exists (@list @t69) (and (_ @t4 @t69) (_ @t70 @t71) (_ @t70 @t68))))))) % 0.45/0.83 (assume @p27 (forall @t27 (=> @t72 @t26))) % 0.45/0.83 (assume @p28 (forall @t27 (not (_ @t73 tptp.zero_zero_nat)))) % 0.45/0.83 (assume @p29 (forall @t76 (=> @t75 @t72))) % 0.45/0.83 (assume @p30 (forall @t27 (= @t26 @t72))) % 0.45/0.83 (assume @p31 (= (_ tptp.pderiv_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real)) % 0.45/0.83 (assume @p32 (= (_ tptp.pderiv_nat tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat)) % 0.45/0.83 (assume @p33 (= (_ tptp.pderiv_int tptp.zero_zero_poly_int) tptp.zero_zero_poly_int)) % 0.45/0.83 (assume @p34 (= (_ tptp.pderiv_poly_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real)) % 0.45/0.83 (assume @p35 (forall @t22 (= (= tptp.zero_zero_real @t21) (= @t21 tptp.zero_zero_real)))) % 0.45/0.83 (assume @p36 (forall @t16 (= (= tptp.zero_zero_poly_real @t15) (= @t15 tptp.zero_zero_poly_real)))) % 0.45/0.83 (assume @p37 (forall @t18 (= (= tptp.zero_zero_int @t17) (= @t17 tptp.zero_zero_int)))) % 0.45/0.83 (assume @p38 (forall @t20 (= (= tptp.zero_zero_nat @t19) (= @t19 tptp.zero_zero_nat)))) % 0.45/0.83 (assume @p39 (forall @t10 (= (= tptp.zero_zero_poly_nat @t9) (= @t9 tptp.zero_zero_poly_nat)))) % 0.45/0.83 (assume @p40 (forall @t12 (= (= tptp.zero_zero_poly_int @t11) (= @t11 tptp.zero_zero_poly_int)))) % 0.45/0.83 (assume @p41 (forall @t14 (= (= tptp.zero_z1423781445y_real @t13) (= @t13 tptp.zero_z1423781445y_real)))) % 0.45/0.83 (assume @p42 (forall (@list @t29 @t77) (= (= @t30 (_ tptp.poly_real2 @t77)) (= @t29 @t77)))) % 0.45/0.83 (assume @p43 (forall (@list @t63 @t78) (= (= @t66 (_ tptp.poly_int2 @t78)) (= @t63 @t78)))) % 0.45/0.83 (assume @p44 (forall (@list @t58 @t79) (= (= @t61 (_ tptp.poly_poly_real2 @t79)) (= @t58 @t79)))) % 0.45/0.83 (assume @p45 (forall @t80 (= (_ (_ (_ tptp.sturm_1953858694_cross tptp.zero_zero_poly_real) @t35) @t32) tptp.zero_zero_int))) % 0.45/0.83 (assume @p46 (forall @t43 (=> @t42 (=> (forall @t38 (=> (and @t37 @t34) (not @t31))) (= (_ (_ (_ tptp.sturm_1953858694_cross @t29) @t35) @t32) tptp.zero_zero_int))))) % 0.45/0.83 (assume @p47 (forall @t27 (= (_ (_ tptp.poly_cutoff_real @t23) tptp.zero_zero_poly_real) tptp.zero_zero_poly_real))) % 0.45/0.83 (assume @p48 (forall @t27 (= (_ (_ tptp.poly_cutoff_nat @t23) tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat))) % 0.45/0.83 (assume @p49 (forall @t27 (= (_ (_ tptp.poly_cutoff_int @t23) tptp.zero_zero_poly_int) tptp.zero_zero_poly_int))) % 0.45/0.83 (assume @p50 (forall @t27 (= (_ (_ tptp.poly_c1404107022y_real @t23) tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real))) % 0.45/0.83 (assume @p51 (forall @t57 (= (= (_ (_ tptp.poly_real2 (_ tptp.reflect_poly_real @t29)) tptp.zero_zero_real) tptp.zero_zero_real) @t54))) % 0.45/0.83 (assume @p52 (forall @t62 (= (= (_ (_ tptp.poly_poly_real2 (_ tptp.reflec1522834046y_real @t58)) tptp.zero_zero_poly_real) tptp.zero_zero_poly_real) @t59))) % 0.45/0.83 (assume @p53 (forall @t67 (= (= (_ (_ tptp.poly_int2 (_ tptp.reflect_poly_int @t63)) tptp.zero_zero_int) tptp.zero_zero_int) @t64))) % 0.45/0.83 (assume @p54 (forall (@list @t81) (= (= (_ (_ tptp.poly_nat2 (_ tptp.reflect_poly_nat @t81)) tptp.zero_zero_nat) tptp.zero_zero_nat) (= @t81 tptp.zero_zero_poly_nat)))) % 0.45/0.83 (assume @p55 (forall (@list @t82) (= (= (_ (_ tptp.poly_poly_nat2 (_ tptp.reflec781175074ly_nat @t82)) tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat) (= @t82 tptp.zero_z1059985641ly_nat)))) % 0.45/0.83 (assume @p56 (forall @t48 (= (= (_ (_ tptp.poly_poly_int2 (_ tptp.reflec943087998ly_int @t44)) tptp.zero_zero_poly_int) tptp.zero_zero_poly_int) @t45))) % 0.45/0.83 (assume @p57 (forall @t53 (= (= (_ (_ tptp.poly_poly_poly_real2 (_ tptp.reflec144234502y_real @t49)) tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real) @t50))) % 0.45/0.83 (assume @p58 (forall (@list @t29 @t86) (=> @t89 (not (forall (@list @t85) (=> (_ @t87 @t85) (not (forall @t88 (=> (and (_ @t87 @t83) (_ (_ tptp.ord_less_eq_real @t83) @t85)) @t84))))))))) % 0.45/0.83 (assume @p59 (forall (@list @t29 @t90) (=> @t89 (not (forall (@list @t91) (=> (_ (_ tptp.ord_less_real @t91) @t90) (not (forall @t88 (=> (and (_ (_ tptp.ord_less_eq_real @t91) @t83) (_ (_ tptp.ord_less_real @t83) @t90)) @t84))))))))) % 0.45/0.83 (assume @p60 (forall @t27 (= (_ (_ tptp.poly_shift_real @t23) tptp.zero_zero_poly_real) tptp.zero_zero_poly_real))) % 0.45/0.83 (assume @p61 (forall @t27 (= (_ (_ tptp.poly_shift_nat @t23) tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat))) % 0.45/0.83 (assume @p62 (forall @t27 (= (_ (_ tptp.poly_shift_int @t23) tptp.zero_zero_poly_int) tptp.zero_zero_poly_int))) % 0.45/0.83 (assume @p63 (forall @t27 (= (_ (_ tptp.poly_shift_poly_real @t23) tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real))) % 0.45/0.83 (assume @p64 (forall @t94 (= @t93 (or @t54 (not @t92))))) % 0.45/0.83 (assume @p65 (forall @t98 (= @t97 (or @t59 (not @t96))))) % 0.45/0.83 (assume @p66 (forall @t102 (= @t101 (or @t64 (not @t100))))) % 0.45/0.83 (assume @p67 (forall @t106 (= @t105 (or @t45 (not @t104))))) % 0.45/0.83 (assume @p68 (forall @t110 (= @t109 (or @t50 (not @t108))))) % 0.45/0.83 (assume @p69 (forall @t27 (= (_ @t111 tptp.zero_zero_nat) @t24))) % 0.45/0.83 (assume @p70 (= (_ tptp.reflect_poly_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real)) % 0.45/0.83 (assume @p71 (= (_ tptp.reflect_poly_nat tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat)) % 0.45/0.83 (assume @p72 (= (_ tptp.reflect_poly_int tptp.zero_zero_poly_int) tptp.zero_zero_poly_int)) % 0.45/0.83 (assume @p73 (= (_ tptp.reflec1522834046y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real)) % 0.45/0.83 (assume @p74 (forall (@list @t114) (=> (exists @t119 @t118) (=> (exists @t88 @t115) (exists @t120 (and (forall @t119 (=> @t118 (_ @t117 @t112))) (forall @t88 (=> @t115 (_ (_ tptp.ord_less_eq_real @t112) @t83))))))))) % 0.45/0.83 (assume @p75 (_ (_ tptp.ord_le1180086932y_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real)) % 0.45/0.83 (assume @p76 (_ (_ tptp.ord_less_eq_poly_int tptp.zero_zero_poly_int) tptp.zero_zero_poly_int)) % 0.45/0.83 (assume @p77 (_ (_ tptp.ord_le893774876y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real)) % 0.45/0.83 (assume @p78 (_ (_ tptp.ord_less_eq_real tptp.zero_zero_real) tptp.zero_zero_real)) % 0.45/0.83 (assume @p79 (_ @t121 tptp.zero_zero_nat)) % 0.45/0.83 (assume @p80 (_ @t122 tptp.zero_zero_int)) % 0.45/0.83 (assume @p81 (forall @t20 (_ @t121 @t19))) % 0.45/0.83 (assume @p82 (forall @t94 (=> (not @t93) @t92))) % 0.45/0.83 (assume @p83 (forall @t98 (=> (not @t97) @t96))) % 0.45/0.83 (assume @p84 (forall @t102 (=> (not @t101) @t100))) % 0.45/0.83 (assume @p85 (forall @t106 (=> (not @t105) @t104))) % 0.45/0.83 (assume @p86 (forall @t110 (=> (not @t109) @t108))) % 0.45/0.83 (assume @p87 (forall @t130 (= (forall @t127 (=> @t126 @t129)) (or (forall @t127 (=> @t126 @t128)) (forall @t127 (=> @t126 @t125)))))) % 0.45/0.83 (assume @p88 (forall @t130 (= (forall @t127 (=> @t131 @t129)) (or (forall @t127 (=> @t131 @t128)) (forall @t127 (=> @t131 @t125)))))) % 0.45/0.83 (assume @p89 (forall @t27 (= @t72 @t26))) % 0.45/0.83 (assume @p90 (forall @t134 (= (not @t133) (_ @t25 @t132)))) % 0.45/0.83 (assume @p91 (forall @t22 (_ @t135 @t21))) % 0.45/0.83 (assume @p92 (forall @t20 (_ @t136 @t19))) % 0.45/0.83 (assume @p93 (forall @t18 (_ @t137 @t17))) % 0.45/0.83 (assume @p94 (forall @t143 (exists @t142 (forall @t119 (=> @t141 (not @t139)))))) % 0.45/0.83 (assume @p95 (forall @t151 (exists @t150 (forall @t149 (=> @t148 (not @t146)))))) % 0.45/0.83 (assume @p96 (forall @t159 (exists @t158 (forall @t157 (=> @t156 (not @t154)))))) % 0.45/0.83 (assume @p97 (forall @t143 (exists @t142 (forall @t119 (=> @t141 @t160))))) % 0.45/0.83 (assume @p98 (forall @t151 (exists @t150 (forall @t149 (=> @t148 @t161))))) % 0.45/0.83 (assume @p99 (forall @t159 (exists @t158 (forall @t157 (=> @t156 @t162))))) % 0.45/0.83 (assume @p100 (forall (@list @t35 @t163) (= (_ (_ tptp.member_real @t35) (_ tptp.collect_real @t163)) (_ @t163 @t35)))) % 0.45/0.83 (assume @p101 (forall (@list @t164) (= (_ tptp.collect_real (lambda @t56 (_ (_ tptp.member_real @t55) @t164))) @t164))) % 0.45/0.83 (assume @p102 (forall @t143 (exists @t142 (forall @t119 (=> @t166 @t139))))) % 0.45/0.83 (assume @p103 (forall @t151 (exists @t150 (forall @t149 (=> @t167 @t146))))) % 0.45/0.83 (assume @p104 (forall @t159 (exists @t158 (forall @t157 (=> @t168 @t154))))) % 0.45/0.83 (assume @p105 (forall @t143 (exists @t142 (forall @t119 (=> @t166 (not @t160)))))) % 0.45/0.83 (assume @p106 (forall @t151 (exists @t150 (forall @t149 (=> @t167 (not @t161)))))) % 0.45/0.83 (assume @p107 (forall @t159 (exists @t158 (forall @t157 (=> @t168 (not @t162)))))) % 0.45/0.83 (assume @p108 (forall (@list @t169 @t170) (= (not (_ (_ tptp.ord_less_eq_real @t169) @t170)) (_ (_ tptp.ord_less_real @t170) @t169)))) % 0.45/0.83 (assume @p109 (forall (@list @t171 @t172) (= (not (_ (_ tptp.ord_less_eq_nat @t171) @t172)) (_ (_ tptp.ord_less_nat @t172) @t171)))) % 0.45/0.83 (assume @p110 (forall (@list @t173 @t174) (= (not (_ (_ tptp.ord_less_eq_int @t173) @t174)) (_ (_ tptp.ord_less_int @t174) @t173)))) % 0.45/0.83 (assume @p111 (forall @t134 (_ @t121 @t132))) % 0.45/0.83 (assume @p112 (forall @t27 (_ @t121 @t23))) % 0.45/0.83 (assume @p113 (forall @t76 (=> @t75 @t176))) % 0.45/0.83 (assume @p114 (= tptp.ord_less_eq_nat (lambda @t181 (or @t180 @t179)))) % 0.45/0.83 (assume @p115 (forall @t76 (=> (or @t75 @t182) @t176))) % 0.45/0.83 (assume @p116 (forall @t76 (=> @t176 (=> @t183 @t75)))) % 0.45/0.83 (assume @p117 (forall (@list @t185 @t186 @t184) (=> (forall (@list @t190 @t189) (=> (_ (_ tptp.ord_less_nat @t190) @t189) (_ (_ tptp.ord_less_nat (_ @t185 @t190)) (_ @t185 @t189)))) (=> @t188 (_ (_ tptp.ord_less_eq_nat (_ @t185 @t186)) (_ @t185 @t184)))))) % 0.45/0.83 (assume @p118 (forall @t199 (=> @t198 (=> @t196 @t193)))) % 0.45/0.83 (assume @p119 (forall @t210 (=> (forall @t209 @t208) @t201))) % 0.45/0.83 (assume @p120 (forall @t210 (=> (forall @t209 (=> (forall @t206 (=> @t205 @t203)) @t207)) @t201))) % 0.45/0.83 (assume @p121 (forall @t27 (not (_ @t73 @t23)))) % 0.45/0.83 (assume @p122 (forall (@list @t211 @t145) (=> (_ (_ tptp.ord_less_nat @t211) @t145) (not (= @t211 @t145))))) % 0.45/0.83 (assume @p123 (forall @t213 (=> @t212 @t183))) % 0.45/0.83 (assume @p124 (forall @t76 (= @t183 (or @t75 @t212)))) % 0.45/0.83 (assume @p125 (forall @t134 (=> @t215 @t133))) % 0.45/0.83 (assume @p126 (forall @t134 (= @t215 @t133))) % 0.45/0.83 (assume @p127 (forall @t210 (=> @t201 (=> (not @t218) (exists (@list @t216) (and (_ (_ tptp.ord_less_eq_nat @t216) @t23) (forall (@list @t217) (=> (_ (_ tptp.ord_less_nat @t217) @t216) (not (_ @t200 @t217)))) (_ @t200 @t216))))))) % 0.45/0.83 (assume @p128 (forall @t226 (=> @t225 (=> @t224 (= (and @t223 @t222) (and @t221 @t219)))))) % 0.45/0.83 (assume @p129 (forall @t226 (=> @t225 (=> @t224 (= (=> @t223 @t222) (=> @t221 @t219)))))) % 0.45/0.83 (assume @p130 (forall @t240 (=> (_ @t230 @t239) @t238))) % 0.45/0.83 (assume @p131 (forall @t256 (=> (_ @t230 @t255) @t254))) % 0.45/0.83 (assume @p132 (forall @t269 (=> (_ @t230 @t268) @t267))) % 0.45/0.83 (assume @p133 (forall @t277 (=> (_ @t214 @t276) @t275))) % 0.45/0.83 (assume @p134 (forall @t284 (=> (_ @t214 @t283) @t282))) % 0.45/0.83 (assume @p135 (forall @t289 (=> (_ @t214 @t288) @t287))) % 0.45/0.83 (assume @p136 (forall @t295 (=> (_ @t291 @t294) @t293))) % 0.45/0.83 (assume @p137 (forall @t300 (=> (_ @t291 @t299) @t298))) % 0.45/0.83 (assume @p138 (forall @t305 (=> (_ @t291 @t304) @t303))) % 0.45/0.83 (assume @p139 (forall @t309 (=> @t308 (=> (_ (_ tptp.ord_less_eq_real @t239) @t227) @t307)))) % 0.45/0.83 (assume @p140 (forall @t312 (=> @t308 (=> (_ (_ tptp.ord_less_eq_nat @t276) @t241) @t311)))) % 0.45/0.83 (assume @p141 (forall @t314 (=> @t308 (=> (_ (_ tptp.ord_less_eq_int @t294) @t257) @t313)))) % 0.45/0.83 (assume @p142 (forall @t318 (=> @t317 (=> (_ (_ tptp.ord_less_eq_real @t255) @t227) @t316)))) % 0.45/0.83 (assume @p143 (forall @t321 (=> @t317 (=> (_ (_ tptp.ord_less_eq_nat @t283) @t241) @t320)))) % 0.45/0.83 (assume @p144 (forall @t323 (=> @t317 (=> (_ (_ tptp.ord_less_eq_int @t299) @t257) @t322)))) % 0.45/0.83 (assume @p145 (forall @t326 (=> @t325 (=> (_ (_ tptp.ord_less_eq_real @t268) @t227) @t324)))) % 0.45/0.83 (assume @p146 (forall @t328 (=> @t325 (=> (_ (_ tptp.ord_less_eq_nat @t288) @t241) @t327)))) % 0.45/0.83 (assume @p147 (forall @t330 (=> @t325 (=> (_ (_ tptp.ord_less_eq_int @t304) @t257) @t329)))) % 0.45/0.83 (assume @p148 (forall @t80 (or @t332 (not @t308) (not @t331)))) % 0.45/0.83 (assume @p149 (forall @t335 (or @t334 (not @t317) (not @t333)))) % 0.45/0.83 (assume @p150 (forall @t338 (or @t337 (not @t325) (not @t336)))) % 0.45/0.83 (assume @p151 (forall @t240 (=> @t339 @t238))) % 0.45/0.83 (assume @p152 (forall @t277 (=> @t340 @t275))) % 0.45/0.83 (assume @p153 (forall @t295 (=> (= @t99 @t294) @t293))) % 0.45/0.83 (assume @p154 (forall @t256 (=> @t341 @t254))) % 0.45/0.83 (assume @p155 (forall @t284 (=> @t342 @t282))) % 0.45/0.83 (assume @p156 (forall @t300 (=> (= @t99 @t299) @t298))) % 0.45/0.83 (assume @p157 (forall @t269 (=> (= @t35 @t268) @t267))) % 0.45/0.83 (assume @p158 (forall @t289 (=> (= @t132 @t288) @t287))) % 0.45/0.83 (assume @p159 (forall @t305 (=> (= @t99 @t304) @t303))) % 0.45/0.83 (assume @p160 (forall @t309 (=> @t308 (=> @t343 @t307)))) % 0.45/0.83 (assume @p161 (forall @t312 (=> @t308 (=> @t344 @t311)))) % 0.45/0.83 (assume @p162 (forall @t314 (=> @t308 (=> (= @t294 @t257) @t313)))) % 0.45/0.83 (assume @p163 (forall @t318 (=> @t317 (=> @t345 @t316)))) % 0.45/0.83 (assume @p164 (forall @t321 (=> @t317 (=> @t346 @t320)))) % 0.45/0.83 (assume @p165 (forall @t323 (=> @t317 (=> (= @t299 @t257) @t322)))) % 0.45/0.83 (assume @p166 (forall @t326 (=> @t325 (=> (= @t268 @t227) @t324)))) % 0.45/0.83 (assume @p167 (forall @t328 (=> @t325 (=> (= @t288 @t241) @t327)))) % 0.45/0.83 (assume @p168 (forall @t330 (=> @t325 (=> (= @t304 @t257) @t329)))) % 0.45/0.83 (assume @p169 (= @t351 (lambda @t348 (and (_ (_ tptp.ord_less_eq_real @t55) @t347) (_ (_ tptp.ord_less_eq_real @t347) @t55))))) % 0.45/0.83 (assume @p170 (= @t356 (lambda (@list @t352 @t353) (and (_ (_ tptp.ord_less_eq_nat @t352) @t353) (_ (_ tptp.ord_less_eq_nat @t353) @t352))))) % 0.45/0.83 (assume @p171 (= @t360 (lambda (@list @t65 @t357) (and (_ (_ tptp.ord_less_eq_int @t65) @t357) (_ (_ tptp.ord_less_eq_int @t357) @t65))))) % 0.45/0.83 (assume @p172 (forall @t366 (=> @t365 (=> @t364 @t362)))) % 0.45/0.83 (assume @p173 (forall @t199 (=> @t369 (=> @t368 @t197)))) % 0.45/0.83 (assume @p174 (forall @t375 (=> @t374 (=> @t373 @t371)))) % 0.45/0.83 (assume @p175 (forall @t366 (or @t365 @t364))) % 0.45/0.83 (assume @p176 (forall @t199 (or @t369 @t368))) % 0.45/0.83 (assume @p177 (forall @t375 (or @t374 @t373))) % 0.45/0.83 (assume @p178 (forall @t366 (=> @t362 @t365))) % 0.45/0.83 (assume @p179 (forall @t199 (=> @t197 @t369))) % 0.45/0.83 (assume @p180 (forall @t375 (=> @t371 @t374))) % 0.45/0.83 (assume @p181 (forall @t366 (=> @t376 @t364))) % 0.45/0.83 (assume @p182 (forall @t199 (=> @t377 @t368))) % 0.45/0.83 (assume @p183 (forall @t375 (=> @t378 @t373))) % 0.45/0.83 (assume @p184 (forall @t381 (=> @t308 @t380))) % 0.45/0.83 (assume @p185 (forall @t384 (=> @t317 @t383))) % 0.45/0.83 (assume @p186 (forall @t387 (=> @t325 @t386))) % 0.45/0.83 (assume @p187 (forall @t394 (=> (=> @t365 (not @t391)) (=> (=> @t364 (not @t393)) (=> (=> @t393 (not @t392)) (=> (=> @t392 (not @t364)) (=> (=> @t391 (not @t390)) (not (=> @t390 @t376))))))))) % 0.45/0.83 (assume @p188 (forall @t401 (=> (=> @t369 (not @t398)) (=> (=> @t368 (not @t400)) (=> (=> @t400 (not @t399)) (=> (=> @t399 (not @t368)) (=> (=> @t398 (not @t397)) (not (=> @t397 @t377))))))))) % 0.45/0.83 (assume @p189 (forall @t408 (=> (=> @t374 (not @t405)) (=> (=> @t373 (not @t407)) (=> (=> @t407 (not @t406)) (=> (=> @t406 (not @t373)) (=> (=> @t405 (not @t404)) (not (=> @t404 @t378))))))))) % 0.45/0.83 (assume @p190 (forall @t409 (=> @t364 (= @t365 @t362)))) % 0.45/0.83 (assume @p191 (forall @t410 (=> @t368 (= @t369 @t197)))) % 0.45/0.83 (assume @p192 (forall (@list @t370 @t17) (=> @t373 (= @t374 @t371)))) % 0.45/0.83 (assume @p193 (= @t351 (lambda @t415 (and @t414 @t413)))) % 0.45/0.83 (assume @p194 (= @t356 (lambda @t420 (and @t419 @t418)))) % 0.45/0.83 (assume @p195 (= @t360 (lambda @t425 (and @t424 @t423)))) % 0.45/0.83 (assume @p196 (forall @t381 (=> @t332 @t380))) % 0.45/0.83 (assume @p197 (forall @t384 (=> @t334 @t383))) % 0.45/0.83 (assume @p198 (forall @t387 (=> @t337 @t386))) % 0.45/0.83 (assume @p199 (forall @t381 (=> @t308 (=> @t426 @t379)))) % 0.45/0.83 (assume @p200 (forall @t384 (=> @t317 (=> @t427 @t382)))) % 0.45/0.83 (assume @p201 (forall @t387 (=> @t325 (=> (= @t264 @t257) @t385)))) % 0.45/0.83 (assume @p202 (forall @t80 (=> @t308 (=> @t331 @t332)))) % 0.45/0.83 (assume @p203 (forall @t335 (=> @t317 (=> @t333 @t334)))) % 0.45/0.83 (assume @p204 (forall @t338 (=> @t325 (=> @t336 @t337)))) % 0.45/0.83 (assume @p205 (forall @t394 (=> @t365 (=> @t391 @t393)))) % 0.45/0.83 (assume @p206 (forall @t401 (=> @t369 (=> @t398 @t400)))) % 0.45/0.83 (assume @p207 (forall @t408 (=> @t374 (=> @t405 @t407)))) % 0.45/0.83 (assume @p208 (forall @t428 (_ @t230 @t35))) % 0.45/0.83 (assume @p209 (forall @t134 (_ @t214 @t132))) % 0.45/0.83 (assume @p210 (forall (@list @t99) (_ @t291 @t99))) % 0.45/0.83 (assume @p211 (forall @t436 (=> (forall @t434 (=> (_ (_ tptp.ord_less_eq_real @t431) @t430) @t433)) @t435))) % 0.45/0.83 (assume @p212 (forall @t444 (=> (forall @t442 (=> (_ (_ tptp.ord_less_eq_nat @t439) @t438) @t441)) @t443))) % 0.45/0.83 (assume @p213 (forall (@list @t445 @t99 @t264) (=> (forall @t449 (=> (_ (_ tptp.ord_less_eq_int @t447) @t446) @t448)) (=> (forall @t449 (=> (_ (_ @t445 @t446) @t447) @t448)) (_ (_ @t445 @t99) @t264))))) % 0.45/0.83 (assume @p214 (forall @t451 (=> @t331 (=> (_ @t450 @t32) (_ @t450 @t35))))) % 0.45/0.83 (assume @p215 (forall @t453 (=> @t333 (=> (_ @t452 @t251) (_ @t452 @t132))))) % 0.45/0.83 (assume @p216 (forall (@list @t264 @t99 @t257) (=> @t336 (=> (_ @t454 @t264) (_ @t454 @t99))))) % 0.45/0.83 (assume @p217 (= @t351 (lambda @t415 (and @t413 @t414)))) % 0.45/0.83 (assume @p218 (= @t356 (lambda @t420 (and @t418 @t419)))) % 0.45/0.83 (assume @p219 (= @t360 (lambda @t425 (and @t423 @t424)))) % 0.45/0.83 (assume @p220 (forall @t455 (=> @t331 (=> @t308 @t332)))) % 0.45/0.83 (assume @p221 (forall @t456 (=> @t333 (=> @t317 @t334)))) % 0.45/0.83 (assume @p222 (forall (@list @t264 @t99) (=> @t336 (=> @t325 @t337)))) % 0.45/0.83 (assume @p223 (forall @t455 (=> @t459 @t457))) % 0.45/0.83 (assume @p224 (forall @t456 (=> @t462 @t460))) % 0.45/0.83 (assume @p225 (forall @t80 (=> @t42 @t457))) % 0.45/0.83 (assume @p226 (forall @t335 (=> @t464 @t460))) % 0.45/0.83 (assume @p227 (forall @t366 (= @t469 (or @t466 @t362)))) % 0.45/0.83 (assume @p228 (forall @t199 (= @t196 (or @t193 @t197)))) % 0.45/0.83 (assume @p229 (forall @t451 (=> @t459 (=> (_ @t470 @t32) (_ @t470 @t35))))) % 0.45/0.83 (assume @p230 (forall @t453 (=> @t462 (=> (_ @t471 @t251) (_ @t471 @t132))))) % 0.45/0.83 (assume @p231 (forall @t436 (=> (forall @t434 (=> (_ (_ tptp.ord_less_real @t431) @t430) @t433)) (=> (forall (@list @t431) (_ @t432 @t431)) @t435)))) % 0.45/0.83 (assume @p232 (forall @t444 (=> (forall @t442 (=> (_ (_ tptp.ord_less_nat @t439) @t438) @t441)) (=> (forall (@list @t439) (_ @t440 @t439)) @t443)))) % 0.45/0.83 (assume @p233 (= (lambda (@list @t474) (exists (@list @t473) (_ @t474 @t473))) (lambda (@list @t472) (exists (@list @t177) (and (_ @t472 @t177) (forall (@list @t178) (=> @t180 (not (_ @t472 @t178))))))))) % 0.45/0.83 (assume @p234 (forall @t366 (=> @t468 @t475))) % 0.45/0.83 (assume @p235 (forall @t199 (=> @t195 @t476))) % 0.45/0.83 (assume @p236 (forall @t381 (=> @t42 @t479))) % 0.45/0.83 (assume @p237 (forall @t384 (=> @t464 @t482))) % 0.45/0.83 (assume @p238 (forall @t428 (not (_ @t36 @t35)))) % 0.45/0.83 (assume @p239 (forall @t134 (not (_ @t463 @t132)))) % 0.45/0.83 (assume @p240 (forall @t366 (=> @t469 (=> @t483 @t466)))) % 0.45/0.83 (assume @p241 (forall @t199 (=> @t196 (=> @t198 @t193)))) % 0.45/0.83 (assume @p242 (forall (@list @t21 @t361 @t222) (=> @t468 (=> @t466 @t222)))) % 0.45/0.83 (assume @p243 (forall (@list @t19 @t191 @t222) (=> @t195 (=> @t193 @t222)))) % 0.45/0.83 (assume @p244 (forall @t366 (=> @t468 (not (= @t361 @t21))))) % 0.45/0.83 (assume @p245 (forall @t199 (=> @t195 (not (= @t191 @t19))))) % 0.45/0.83 (assume @p246 (forall @t409 (=> @t475 (= @t469 @t362)))) % 0.45/0.83 (assume @p247 (forall @t410 (=> @t476 (= @t196 @t197)))) % 0.45/0.83 (assume @p248 (forall (@list @t200 @t132) (=> (forall @t488 (=> (forall @t487 (=> (_ (_ tptp.ord_less_nat @t485) @t246) @t486)) @t484)) (_ @t200 @t132)))) % 0.45/0.83 (assume @p249 (forall @t366 (=> @t468 @t483))) % 0.45/0.83 (assume @p250 (forall @t199 (=> @t195 @t198))) % 0.45/0.83 (assume @p251 (forall @t455 (=> @t459 (not @t42)))) % 0.45/0.83 (assume @p252 (forall @t456 (=> @t462 (not @t464)))) % 0.45/0.83 (assume @p253 (forall @t381 (=> @t42 (=> @t426 @t477)))) % 0.45/0.83 (assume @p254 (forall @t384 (=> @t464 (=> @t427 @t480)))) % 0.45/0.83 (assume @p255 (forall @t381 (=> @t332 @t479))) % 0.45/0.83 (assume @p256 (forall @t384 (=> @t334 @t482))) % 0.45/0.83 (assume @p257 (forall @t22 (not (_ @t467 @t21)))) % 0.45/0.83 (assume @p258 (forall @t20 (not (_ @t194 @t19)))) % 0.45/0.83 (assume @p259 (forall @t366 (or @t468 @t362 @t466))) % 0.45/0.83 (assume @p260 (forall @t199 (or @t195 @t197 @t193))) % 0.45/0.83 (assume @p261 (forall @t394 (=> @t468 (=> (_ @t465 @t388) (_ @t467 @t388))))) % 0.45/0.83 (assume @p262 (forall @t401 (=> @t195 (=> (_ @t192 @t395) (_ @t194 @t395))))) % 0.45/0.83 (assume @p263 (forall @t80 (=> @t42 (not @t459)))) % 0.45/0.83 (assume @p264 (forall @t335 (=> @t464 (not @t462)))) % 0.45/0.83 (assume @p265 (forall @t366 (=> @t468 (exists @t142 (and (_ @t467 @t140) (_ @t165 @t361)))))) % 0.45/0.83 (assume @p266 (forall @t366 (= @t483 (or @t468 @t466)))) % 0.45/0.83 (assume @p267 (forall @t199 (= @t198 (or @t195 @t193)))) % 0.45/0.83 (assume @p268 (forall @t366 (=> @t483 (=> @t469 @t466)))) % 0.45/0.83 (assume @p269 (forall @t22 (exists (@list @t489) (_ @t467 @t489)))) % 0.45/0.83 (assume @p270 (forall @t20 (exists (@list @t490) (_ @t194 @t490)))) % 0.45/0.83 (assume @p271 (forall @t22 (exists @t120 (_ (_ tptp.ord_less_real @t112) @t21)))) % 0.45/0.83 (assume @p272 (forall @t309 (=> @t42 (=> (_ (_ tptp.ord_less_real @t239) @t227) @t493)))) % 0.45/0.83 (assume @p273 (forall @t312 (=> @t42 (=> (_ (_ tptp.ord_less_nat @t276) @t241) @t495)))) % 0.45/0.83 (assume @p274 (forall @t318 (=> @t464 (=> (_ (_ tptp.ord_less_real @t255) @t227) @t498)))) % 0.45/0.83 (assume @p275 (forall @t321 (=> @t464 (=> (_ (_ tptp.ord_less_nat @t283) @t241) @t500)))) % 0.45/0.83 (assume @p276 (forall @t240 (=> (_ @t36 @t239) @t501))) % 0.45/0.83 (assume @p277 (forall @t256 (=> (_ @t36 @t255) @t502))) % 0.45/0.83 (assume @p278 (forall @t277 (=> (_ @t463 @t276) @t503))) % 0.45/0.83 (assume @p279 (forall @t284 (=> (_ @t463 @t283) @t504))) % 0.45/0.83 (assume @p280 (forall @t309 (=> @t42 (=> @t343 @t493)))) % 0.45/0.83 (assume @p281 (forall @t312 (=> @t42 (=> @t344 @t495)))) % 0.45/0.83 (assume @p282 (forall @t318 (=> @t464 (=> @t345 @t498)))) % 0.45/0.83 (assume @p283 (forall @t321 (=> @t464 (=> @t346 @t500)))) % 0.45/0.83 (assume @p284 (forall @t240 (=> @t339 @t501))) % 0.45/0.83 (assume @p285 (forall @t277 (=> @t340 @t503))) % 0.45/0.83 (assume @p286 (forall @t256 (=> @t341 @t502))) % 0.45/0.83 (assume @p287 (forall @t284 (=> @t342 @t504))) % 0.45/0.83 (assume @p288 (forall @t134 (not (_ @t463 tptp.zero_zero_nat)))) % 0.45/0.83 (assume @p289 (forall @t210 (=> @t218 (=> (forall @t209 (=> (_ @t25 @t204) @t208)) @t201)))) % 0.45/0.83 (assume @p290 (forall (@list @t506 @t505) (= (= (_ tptp.suc @t506) (_ tptp.suc @t505)) (= @t506 @t505)))) % 0.45/0.83 (assume @p291 (forall (@list @t508 @t507) (= (= (_ tptp.suc @t508) (_ tptp.suc @t507)) (= @t508 @t507)))) % 0.45/0.83 (assume @p292 (forall @t27 (_ @t73 @t509))) % 0.45/0.83 (assume @p293 (forall @t76 (=> @t75 @t511))) % 0.45/0.83 (assume @p294 (forall @t76 (= @t511 @t75))) % 0.45/0.83 (assume @p295 (forall @t213 (= (_ @t513 @t510) @t512))) % 0.45/0.83 (assume @p296 (forall @t27 (= (_ @t73 @t514) @t24))) % 0.45/0.83 (assume @p297 (forall @t27 (_ @t25 @t509))) % 0.45/0.83 (assume @p298 (forall @t27 (= (_ @t73 tptp.one_one_nat) @t24))) % 0.45/0.83 (assume @p299 (forall @t22 (= (_ (_ tptp.sturm_1279781401iation @t21) tptp.zero_zero_real) tptp.zero_zero_int))) % 0.45/0.83 (assume @p300 (forall (@list @t361) (= (_ (_ tptp.sturm_1279781401iation tptp.zero_zero_real) @t361) tptp.zero_zero_int))) % 0.45/0.83 (assume @p301 (= tptp.one_one_nat @t514)) % 0.45/0.83 (assume @p302 (forall (@list @t74 @t23 @t515) (=> @t176 (=> (forall @t488 (_ @t517 @t246)) (=> (forall (@list @t246 @t244 @t147) (=> (_ @t517 @t244) (=> (_ (_ @t515 @t244) @t147) (_ @t517 @t147)))) (=> (forall @t209 (_ (_ @t515 @t204) @t516)) (_ (_ @t515 @t74) @t23))))))) % 0.45/0.83 (assume @p303 (forall (@list @t74 @t23 @t200) (=> @t176 (=> (_ @t200 @t74) (=> (forall @t209 (=> (_ @t175 @t204) (=> @t207 (_ @t200 @t516)))) @t201))))) % 0.45/0.83 (assume @p304 (forall (@list @t200 @t518 @t251) (=> (_ @t200 @t518) (=> (forall (@list @t244) (=> (_ @t200 @t244) (_ (_ tptp.ord_less_eq_nat @t244) @t251))) (exists @t488 (and @t484 (forall @t487 (=> @t486 (_ (_ tptp.ord_less_eq_nat @t485) @t246))))))))) % 0.45/0.83 (assume @p305 (forall (@list @t99 @t17) (or (_ @t291 @t17) (= @t99 @t17) (_ @t137 @t99)))) % 0.45/0.83 (assume @p306 (forall @t210 (=> (forall @t209 (=> (forall @t206 (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t202)) @t204) @t203)) @t207)) @t201))) % 0.45/0.83 (assume @p307 (forall @t76 (= @t519 (_ @t513 @t74)))) % 0.45/0.83 (assume @p308 (forall @t27 (not (_ @t513 @t23)))) % 0.45/0.83 (assume @p309 (forall @t76 (or @t176 @t512))) % 0.45/0.83 (assume @p310 (forall @t76 (=> @t176 (=> @t512 @t182)))) % 0.45/0.83 (assume @p311 (forall @t76 (= @t521 (or @t176 @t520)))) % 0.45/0.83 (assume @p312 (forall @t76 (=> @t182 @t176))) % 0.45/0.83 (assume @p313 (forall (@list @t186 @t184 @t518) (=> @t188 (=> (_ (_ tptp.ord_less_eq_nat @t184) @t518) (_ @t187 @t518))))) % 0.45/0.83 (assume @p314 (forall (@list @t23 @t523) (=> (_ @t513 @t523) (exists (@list @t522) (= @t523 (_ tptp.suc @t522)))))) % 0.45/0.83 (assume @p315 (forall @t27 (_ @t111 @t23))) % 0.45/0.83 (assume @p316 (forall @t76 (=> @t176 @t521))) % 0.45/0.83 (assume @p317 (forall @t76 (=> @t521 (=> @t519 @t520)))) % 0.45/0.83 (assume @p318 (not (not @t530))) % 0.45/0.83 (assume @p319 true) % 0.45/0.83 (step @p320 (= tptp.rsquarefree_real @t535) :rule refl :args (@t535)) % 0.45/0.83 (step @p321 (= tptp.is_zero_real @t536) :rule refl :args (@t536)) % 0.45/0.83 (step @p322 (= tptp.is_zero_nat @t538) :rule refl :args (@t538)) % 0.45/0.83 (step @p323 (= tptp.is_zero_int @t540) :rule refl :args (@t540)) % 0.45/0.83 (step @p324 (= tptp.is_zero_poly_real @t542) :rule refl :args (@t542)) % 0.45/0.83 (step @p325 (= tptp.ord_less_eq_real @t543) :rule refl :args (@t543)) % 0.45/0.83 (step @p326 (= tptp.ord_less_nat @t544) :rule refl :args (@t544)) % 0.45/0.83 (step @p327 (= tptp.sturm_1953858694_cross @t545) :rule refl :args (@t545)) % 0.45/0.83 (step @p328 :rule refl :args (@t546)) % 0.45/0.83 (step @p329 :rule refl :args (@t1)) % 0.45/0.83 (step @p330 :rule cong :premises (@p329 @p328) :args ((= @t1 @t546))) % 0.45/0.83 (step @p331 :rule symm :premises (@p330)) % 0.45/0.83 (step @p332 :rule eq_resolve :premises (@p329 @p331)) % 0.45/0.83 (step @p333 :rule refl :args (tptp.zero_zero_real)) % 0.45/0.83 (step @p334 :rule cong :premises (@p333 @p332) :args (@t547)) % 0.45/0.83 (step @p335 :rule cong :premises (@p334) :args (@t548)) % 0.45/0.83 (step @p336 :rule eq-symm :args (@t1 tptp.zero_zero_real)) % 0.45/0.83 (step @p337 :rule cong :premises (@p336) :args (@t3)) % 0.45/0.83 (step @p338 :rule trans :premises (@p337 @p335)) % 0.45/0.83 (step @p339 :rule eq_resolve :premises (@p1 @p338)) % 0.45/0.83 (step @p340 :rule cnf_implies_neg1 :args (@t552)) % 0.45/0.83 (step @p341 :rule reordering :premises (@p340) :args ((or @t551 @t552))) % 0.45/0.83 (step @p342 :rule chain_m_resolution :premises (@p341 @p339) :args (@t552 (@list true) (@list @t551))) % 0.45/0.83 (step @p343 :rule refl :args (@t553)) % 0.45/0.83 (step @p344 :rule refl :args (@t6)) % 0.45/0.83 (step @p345 :rule cong :premises (@p344 @p343) :args ((= @t6 @t553))) % 0.45/0.83 (step @p346 :rule symm :premises (@p345)) % 0.45/0.83 (step @p347 :rule eq_resolve :premises (@p344 @p346)) % 0.45/0.83 (step @p348 :rule refl :args ((tptp.ord_less_real tptp.zero_zero_real @t1))) % 0.45/0.83 (step @p349 :rule refl :args (tptp.zero_zero_real)) % 0.45/0.83 (step @p350 :rule cong :premises (@p349 @p328) :args (@t554)) % 0.45/0.83 (step @p351 :rule trans :premises (@p350 @p348)) % 0.45/0.83 (step @p352 :rule refl :args (@t4)) % 0.45/0.83 (step @p353 :rule ho_cong :premises (@p352 @p328)) % 0.45/0.83 (step @p354 :rule cong :premises (@p353 @p351) :args ((= (_ @t4 @t546) @t554))) % 0.45/0.83 (step @p355 :rule symm :premises (@p354)) % 0.45/0.83 (step @p356 :rule refl :args (@t5)) % 0.45/0.83 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.45/0.83 (step @p358 :rule refl :args (@t4)) % 0.45/0.83 (step @p359 :rule ho_cong :premises (@p358 @p332)) % 0.45/0.83 (step @p360 :rule trans :premises (@p359 @p357)) % 0.45/0.83 (step @p361 :rule cong :premises (@p360 @p347) :args (@t8)) % 0.45/0.83 (step @p362 :rule eq_resolve :premises (@p3 @p361)) % 0.45/0.83 (step @p363 :rule implies_elim :premises (@p362)) % 0.45/0.83 (step @p364 :rule reordering :premises (@p363) :args ((or @t553 (not @t554)))) % 0.45/0.83 (step @p365 :rule bool-double-not-elim :args (@t557)) % 0.45/0.83 (step @p366 :rule refl :args (@t553)) % 0.45/0.83 (step @p367 :rule nary_cong :premises (@p366 @p365) :args ((or @t553 (not @t558)))) % 0.45/0.83 (step @p368 :rule cong :premises (@p335 @p360) :args (@t559)) % 0.45/0.83 (step @p369 :rule refl :args ((tptp.sturm_469514713_r_pos @t525 tptp.x))) % 0.45/0.83 (step @p370 :rule refl :args (tptp.x)) % 0.45/0.83 (step @p371 :rule refl :args (@t549)) % 0.45/0.83 (step @p372 :rule cong :premises (@p371 @p370) :args (@t550)) % 0.45/0.83 (step @p373 :rule trans :premises (@p372 @p369)) % 0.45/0.83 (step @p374 :rule refl :args (tptp.sturm_469514713_r_pos)) % 0.45/0.83 (step @p375 :rule ho_cong :premises (@p374 @p371)) % 0.45/0.83 (step @p376 :rule ho_cong :premises (@p375 @p370)) % 0.45/0.83 (step @p377 :rule cong :premises (@p376 @p373) :args ((= (_ (_ tptp.sturm_469514713_r_pos @t549) tptp.x) @t550))) % 0.45/0.83 (step @p378 :rule symm :premises (@p377)) % 0.45/0.83 (step @p379 :rule refl :args (@t526)) % 0.45/0.83 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 0.45/0.83 (step @p381 :rule refl :args (tptp.x)) % 0.45/0.83 (step @p382 :rule refl :args (@t525)) % 0.45/0.83 (step @p383 :rule cong :premises (@p382 @p371) :args ((= @t525 @t549))) % 0.45/0.83 (step @p384 :rule symm :premises (@p383)) % 0.45/0.83 (step @p385 :rule eq_resolve :premises (@p382 @p384)) % 0.45/0.83 (step @p386 :rule refl :args (tptp.sturm_469514713_r_pos)) % 0.45/0.83 (step @p387 :rule ho_cong :premises (@p386 @p385)) % 0.45/0.83 (step @p388 :rule ho_cong :premises (@p387 @p381)) % 0.45/0.83 (step @p389 :rule trans :premises (@p388 @p380)) % 0.45/0.83 (step @p390 :rule cong :premises (@p334 @p389) :args (@t560)) % 0.45/0.83 (step @p391 :rule nary_cong :premises (@p390 @p368) :args (@t561)) % 0.45/0.83 (step @p392 :rule cong :premises (@p391) :args (@t562)) % 0.45/0.83 (step @p393 :rule cong :premises (@p347 @p392) :args ((= @t6 @t562))) % 0.45/0.83 (step @p394 :rule refl :args (@t5)) % 0.45/0.83 (step @p395 :rule cong :premises (@p337 @p394) :args (@t524)) % 0.45/0.83 (step @p396 :rule refl :args (@t526)) % 0.45/0.83 (step @p397 :rule cong :premises (@p336 @p396) :args (@t527)) % 0.45/0.83 (step @p398 :rule nary_cong :premises (@p397 @p395) :args (@t528)) % 0.45/0.83 (step @p399 :rule cong :premises (@p398) :args (@t529)) % 0.45/0.83 (step @p400 :rule refl :args (@t6)) % 0.45/0.83 (step @p401 :rule cong :premises (@p400 @p399) :args (@t530)) % 0.45/0.83 (step @p402 :rule bool-double-not-elim :args (@t530)) % 0.45/0.83 (step @p403 :rule trans :premises (@p402 @p401)) % 0.45/0.83 (step @p404 :rule trans :premises (@p403 @p393)) % 0.45/0.83 (step @p405 :rule eq_resolve :premises (@p318 @p404)) % 0.45/0.83 (step @p406 :rule equiv_elim2 :premises (@p405)) % 0.45/0.83 (step @p407 :rule eq_resolve :premises (@p406 @p367)) % 0.45/0.83 (step @p408 :rule refl :args (@t554)) % 0.45/0.83 (step @p409 :rule bool-double-not-elim :args (@t551)) % 0.45/0.83 (step @p410 :rule refl :args (@t563)) % 0.45/0.83 (step @p411 :rule nary_cong :premises (@p410 @p409 @p408) :args ((or @t563 (not @t555) @t554))) % 0.45/0.83 (step @p412 :rule cnf_implies_pos :args (@t556)) % 0.45/0.83 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 0.45/0.83 (step @p414 :rule reordering :premises (@p413) :args ((or @t551 @t554 @t563))) % 0.45/0.83 (step @p415 :rule cnf_and_pos :args (@t557 1)) % 0.45/0.83 (step @p416 :rule reordering :premises (@p415) :args ((or @t556 @t558))) % 0.45/0.83 (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p339 @p407 @p364) :args (@t553 (@list true true false true) (@list @t556 @t551 @t557 @t554))) % 0.45/0.83 (step @p418 :rule equiv_elim1 :premises (@p405)) % 0.45/0.83 (step @p419 :rule reordering :premises (@p418) :args ((or @t558 @t564))) % 0.45/0.83 (step @p420 :rule chain_m_resolution :premises (@p419 @p417) :args (@t558 @t565 @t566)) % 0.45/0.83 (step @p421 :rule cong :premises (@p347 @p360) :args (@t7)) % 0.45/0.83 (step @p422 :rule eq_resolve :premises (@p2 @p421)) % 0.45/0.83 (step @p423 :rule implies_elim :premises (@p422)) % 0.45/0.83 (step @p424 :rule reordering :premises (@p423) :args ((or @t554 @t564))) % 0.45/0.83 (step @p425 :rule chain_m_resolution :premises (@p424 @p417) :args (@t554 @t565 @t566)) % 0.45/0.83 (step @p426 :rule cnf_implies_neg2 :args (@t556)) % 0.45/0.83 (step @p427 :rule chain_m_resolution :premises (@p426 @p425) :args (@t556 @t565 (@list @t554))) % 0.45/0.83 (step @p428 :rule cnf_and_neg :args (@t557)) % 0.45/0.83 (step @p429 false :rule chain_m_resolution :premises (@p428 @p427 @p420 @p342) :args (false (@list false true false) (@list @t556 @t557 @t552))) % 0.45/0.83 ) % 0.45/0.83 % SZS output end Proof % 0.45/0.83 % cvc5 exiting %------------------------------------------------------------------------------