%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP194^1 : 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 : n026.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 0.40s 0.89s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP194^1 : 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 % 0.16/0.34 % Computer : n026.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 04:18:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.56 %----Proving TH0 % 0.40/0.89 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.89 % SZS status Theorem % 0.40/0.89 % SZS output start Proof % 0.40/0.89 ( % 0.40/0.89 (declare-sort tptp.nat 0) % 0.40/0.89 (declare-sort tptp.real 0) % 0.40/0.89 (declare-sort tptp.set_real 0) % 0.40/0.89 (declare-sort tptp.poly_poly_real 0) % 0.40/0.89 (declare-sort tptp.poly_poly_poly_real 0) % 0.40/0.89 (declare-sort tptp.poly_real 0) % 0.40/0.89 (declare-sort tptp.poly_nat 0) % 0.40/0.89 (declare-sort tptp.poly_poly_nat 0) % 0.40/0.89 (declare-const tptp.ord_min_real (-> tptp.real tptp.real tptp.real)) % 0.40/0.89 (declare-const tptp.ord_min_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.40/0.89 (declare-const tptp.zero_zero_poly_real tptp.poly_real) % 0.40/0.89 (declare-const tptp.zero_zero_poly_nat tptp.poly_nat) % 0.40/0.89 (declare-const tptp.zero_z1423781445y_real tptp.poly_poly_real) % 0.40/0.89 (declare-const tptp.sturm_1308388506f_real (-> tptp.poly_real tptp.real)) % 0.40/0.89 (declare-const tptp.thesis Bool) % 0.40/0.89 (declare-const tptp.ord_le893774876y_real (-> tptp.poly_poly_real tptp.poly_poly_real Bool)) % 0.40/0.89 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 0.40/0.89 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 0.40/0.89 (declare-const tptp.divide924636027y_real (-> tptp.poly_poly_real tptp.poly_poly_poly_real tptp.poly_poly_poly_real tptp.poly_poly_poly_real tptp.nat tptp.nat tptp.poly_poly_poly_real)) % 0.40/0.89 (declare-const tptp.divide1142363123y_real (-> tptp.poly_real tptp.poly_poly_real tptp.poly_poly_real tptp.poly_poly_real tptp.nat tptp.nat tptp.poly_poly_real)) % 0.40/0.89 (declare-const tptp.divide1561404011n_real (-> tptp.real tptp.poly_real tptp.poly_real tptp.poly_real tptp.nat tptp.nat tptp.poly_real)) % 0.40/0.89 (declare-const tptp.order_poly_poly_real (-> tptp.poly_poly_real tptp.poly_poly_poly_real tptp.nat)) % 0.40/0.89 (declare-const tptp.order_poly_real (-> tptp.poly_real tptp.poly_poly_real tptp.nat)) % 0.40/0.89 (declare-const tptp.order_real (-> tptp.real tptp.poly_real tptp.nat)) % 0.40/0.89 (declare-const tptp.poly_nat2 (-> tptp.poly_nat tptp.nat tptp.nat)) % 0.40/0.89 (declare-const tptp.zero_zero_nat tptp.nat) % 0.40/0.89 (declare-const tptp.poly_poly_real2 (-> tptp.poly_poly_real tptp.poly_real tptp.poly_real)) % 0.40/0.89 (declare-const tptp.poly_poly_poly_real2 (-> tptp.poly_poly_poly_real tptp.poly_poly_real tptp.poly_poly_real)) % 0.40/0.89 (declare-const tptp.poly_poly_nat2 (-> tptp.poly_poly_nat tptp.poly_nat tptp.poly_nat)) % 0.40/0.89 (declare-const tptp.lb tptp.real) % 0.40/0.89 (declare-const tptp.poly_shift_poly_real (-> tptp.nat tptp.poly_poly_real tptp.poly_poly_real)) % 0.40/0.89 (declare-const tptp.zero_z935034829y_real tptp.poly_poly_poly_real) % 0.40/0.89 (declare-const tptp.p tptp.poly_real) % 0.40/0.89 (declare-const tptp.sgn_sg2128174761y_real (-> tptp.poly_poly_real tptp.poly_poly_real)) % 0.40/0.89 (declare-const tptp.poly_real2 (-> tptp.poly_real tptp.real tptp.real)) % 0.40/0.89 (declare-const tptp.poly_shift_nat (-> tptp.nat tptp.poly_nat tptp.poly_nat)) % 0.40/0.89 (declare-const tptp.zero_z1059985641ly_nat tptp.poly_poly_nat) % 0.40/0.89 (declare-const tptp.poly_cutoff_real (-> tptp.nat tptp.poly_real tptp.poly_real)) % 0.40/0.89 (declare-const tptp.ord_le1180086932y_real (-> tptp.poly_real tptp.poly_real Bool)) % 0.40/0.89 (declare-const tptp.lb1 tptp.real) % 0.40/0.89 (declare-const tptp.lb2 tptp.real) % 0.40/0.89 (declare-const tptp.reflec1522834046y_real (-> tptp.poly_poly_real tptp.poly_poly_real)) % 0.40/0.89 (declare-const tptp.ord_less_poly_real (-> tptp.poly_real tptp.poly_real Bool)) % 0.40/0.89 (declare-const tptp.ord_le38482960y_real (-> tptp.poly_poly_real tptp.poly_poly_real Bool)) % 0.40/0.89 (declare-const tptp.sgn_sgn_poly_real (-> tptp.poly_real tptp.poly_real)) % 0.40/0.89 (declare-const tptp.poly_cutoff_nat (-> tptp.nat tptp.poly_nat tptp.poly_nat)) % 0.40/0.89 (declare-const tptp.reflect_poly_real (-> tptp.poly_real tptp.poly_real)) % 0.40/0.89 (declare-const tptp.zero_zero_real tptp.real) % 0.40/0.89 (declare-const tptp.reflect_poly_nat (-> tptp.poly_nat tptp.poly_nat)) % 0.40/0.89 (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat)) % 0.40/0.89 (declare-const tptp.reflec781175074ly_nat (-> tptp.poly_poly_nat tptp.poly_poly_nat)) % 0.40/0.89 (declare-const tptp.if_real (-> Bool tptp.real tptp.real tptp.real)) % 0.40/0.89 (declare-const tptp.reflec144234502y_real (-> tptp.poly_poly_poly_real tptp.poly_poly_poly_real)) % 0.40/0.89 (declare-const tptp.sturm_1076696862f_real (-> tptp.poly_real tptp.real)) % 0.40/0.89 (declare-const tptp.poly_c1404107022y_real (-> tptp.nat tptp.poly_poly_real tptp.poly_poly_real)) % 0.40/0.89 (declare-const tptp.sgn_sgn_real (-> tptp.real tptp.real)) % 0.40/0.89 (declare-const tptp.poly_shift_real (-> tptp.nat tptp.poly_real tptp.poly_real)) % 0.40/0.89 (define tptp.ord_less_real () (let ((_let_1 (@var "B2" tptp.real))) (let ((_let_2 (@var "A2" tptp.real))) (lambda (@list _let_2 _let_1) (and (= _let_2 (_ (_ tptp.ord_min_real _let_2) _let_1)) (not (= _let_2 _let_1))))))) % 0.40/0.89 (define tptp.ord_less_nat () (let ((_let_1 (@var "B2" tptp.nat))) (let ((_let_2 (@var "A2" tptp.nat))) (lambda (@list _let_2 _let_1) (and (= _let_2 (_ (_ tptp.ord_min_nat _let_2) _let_1)) (not (= _let_2 _let_1))))))) % 0.40/0.89 (define tptp.is_zero_real () (let ((_let_1 (@var "P2" tptp.poly_real))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_poly_real)))) % 0.40/0.89 (define tptp.is_zero_nat () (let ((_let_1 (@var "P2" tptp.poly_nat))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_poly_nat)))) % 0.40/0.89 (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)))) % 0.40/0.89 (define tptp.ord_less_eq_real () (let ((_let_1 (@var "Y3" tptp.real))) (let ((_let_2 (@var "X4" tptp.real))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_real _let_2) _let_1) (= _let_2 _let_1)))))) % 0.40/0.89 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "B2" tptp.nat))) (let ((_let_2 (@var "A2" tptp.nat))) (lambda (@list _let_2 _let_1) (= _let_2 (_ (_ tptp.ord_min_nat _let_2) _let_1)))))) % 0.40/0.89 (define @t1 () (@var "X" tptp.real)) % 0.40/0.89 (define @t2 () (_ tptp.poly_real2 tptp.p)) % 0.40/0.89 (define @t3 () (_ @t2 @t1)) % 0.40/0.89 (define @t4 () (= @t3 tptp.zero_zero_real)) % 0.40/0.89 (define @t5 () (=> @t4 (_ (_ tptp.ord_less_real tptp.lb1) @t1))) % 0.40/0.89 (define @t6 () (@list @t1)) % 0.40/0.89 (define @t7 () (forall @t6 @t5)) % 0.40/0.89 (define @t8 () (_ tptp.ord_min_real tptp.lb1)) % 0.40/0.89 (define @t9 () (_ @t8 tptp.lb2)) % 0.40/0.89 (define @t10 () (@var "Lb1" tptp.real)) % 0.40/0.89 (define @t11 () (@var "X2" tptp.poly_nat)) % 0.40/0.89 (define @t12 () (@list @t11)) % 0.40/0.89 (define @t13 () (@var "X2" tptp.poly_poly_real)) % 0.40/0.89 (define @t14 () (@list @t13)) % 0.40/0.89 (define @t15 () (@var "X2" tptp.poly_real)) % 0.40/0.89 (define @t16 () (@list @t15)) % 0.40/0.89 (define @t17 () (@var "X2" tptp.nat)) % 0.40/0.89 (define @t18 () (@list @t17)) % 0.40/0.89 (define @t19 () (@var "X2" tptp.real)) % 0.40/0.89 (define @t20 () (@list @t19)) % 0.40/0.89 (define @t21 () (@var "N" tptp.nat)) % 0.40/0.89 (define @t22 () (= @t21 tptp.zero_zero_nat)) % 0.40/0.89 (define @t23 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.40/0.89 (define @t24 () (_ @t23 @t21)) % 0.40/0.89 (define @t25 () (@list @t21)) % 0.40/0.89 (define @t26 () (@var "X3" tptp.real)) % 0.40/0.89 (define @t27 () (@var "P" tptp.poly_real)) % 0.40/0.89 (define @t28 () (_ tptp.poly_real2 @t27)) % 0.40/0.89 (define @t29 () (@var "B" tptp.real)) % 0.40/0.89 (define @t30 () (_ tptp.ord_less_real @t26)) % 0.40/0.89 (define @t31 () (@var "A" tptp.real)) % 0.40/0.89 (define @t32 () (_ tptp.ord_less_real @t31)) % 0.40/0.89 (define @t33 () (@list @t26)) % 0.40/0.89 (define @t34 () (exists @t33 (and (_ @t32 @t26) (_ @t30 @t29) (= (_ @t28 @t26) tptp.zero_zero_real)))) % 0.40/0.89 (define @t35 () (_ @t28 @t29)) % 0.40/0.89 (define @t36 () (_ @t28 @t31)) % 0.40/0.89 (define @t37 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 0.40/0.89 (define @t38 () (_ @t32 @t29)) % 0.40/0.89 (define @t39 () (@list @t31 @t29 @t27)) % 0.40/0.89 (define @t40 () (@var "P" tptp.poly_poly_poly_real)) % 0.40/0.89 (define @t41 () (= @t40 tptp.zero_z935034829y_real)) % 0.40/0.89 (define @t42 () (@var "X4" tptp.poly_poly_real)) % 0.40/0.89 (define @t43 () (_ tptp.poly_poly_poly_real2 @t40)) % 0.40/0.89 (define @t44 () (@list @t40)) % 0.40/0.89 (define @t45 () (= @t27 tptp.zero_zero_poly_real)) % 0.40/0.89 (define @t46 () (@var "X4" tptp.real)) % 0.40/0.89 (define @t47 () (@list @t46)) % 0.40/0.89 (define @t48 () (@list @t27)) % 0.40/0.89 (define @t49 () (@var "P" tptp.poly_poly_real)) % 0.40/0.89 (define @t50 () (= @t49 tptp.zero_z1423781445y_real)) % 0.40/0.89 (define @t51 () (@var "X4" tptp.poly_real)) % 0.40/0.89 (define @t52 () (_ tptp.poly_poly_real2 @t49)) % 0.40/0.89 (define @t53 () (@list @t49)) % 0.40/0.89 (define @t54 () (_ tptp.ord_less_poly_real tptp.zero_zero_poly_real)) % 0.40/0.89 (define @t55 () (_ tptp.ord_le38482960y_real tptp.zero_z1423781445y_real)) % 0.40/0.89 (define @t56 () (@var "D2" tptp.real)) % 0.40/0.89 (define @t57 () (@var "E" tptp.real)) % 0.40/0.89 (define @t58 () (_ tptp.ord_less_real @t57)) % 0.40/0.89 (define @t59 () (@var "D1" tptp.real)) % 0.40/0.89 (define @t60 () (not @t22)) % 0.40/0.89 (define @t61 () (_ tptp.ord_less_nat @t21)) % 0.40/0.89 (define @t62 () (@var "M" tptp.nat)) % 0.40/0.89 (define @t63 () (_ (_ tptp.ord_less_nat @t62) @t21)) % 0.40/0.89 (define @t64 () (@list @t62 @t21)) % 0.40/0.90 (define @t65 () (= @t19 tptp.zero_zero_real)) % 0.40/0.90 (define @t66 () (@var "Q" tptp.poly_real)) % 0.40/0.90 (define @t67 () (@var "Q" tptp.poly_poly_real)) % 0.40/0.90 (define @t68 () (@var "Y" tptp.real)) % 0.40/0.90 (define @t69 () (@var "Z" tptp.real)) % 0.40/0.90 (define @t70 () (_ tptp.ord_less_real @t69)) % 0.40/0.90 (define @t71 () (and (_ @t70 @t19) (_ @t70 @t68))) % 0.40/0.90 (define @t72 () (_ (_ tptp.ord_min_real @t19) @t68)) % 0.40/0.90 (define @t73 () (= (_ @t70 @t72) @t71)) % 0.40/0.90 (define @t74 () (@list @t69 @t19 @t68)) % 0.40/0.90 (define @t75 () (forall @t74 @t73)) % 0.40/0.90 (define @t76 () (@var "Y" tptp.nat)) % 0.40/0.90 (define @t77 () (@var "Z" tptp.nat)) % 0.40/0.90 (define @t78 () (_ tptp.ord_less_nat @t77)) % 0.40/0.90 (define @t79 () (_ (_ tptp.ord_min_nat @t17) @t76)) % 0.40/0.90 (define @t80 () (_ tptp.ord_min_real @t31)) % 0.40/0.90 (define @t81 () (_ @t80 @t31)) % 0.40/0.90 (define @t82 () (@list @t31)) % 0.40/0.90 (define @t83 () (forall @t82 (= @t81 @t31))) % 0.40/0.90 (define @t84 () (@var "A" tptp.nat)) % 0.40/0.90 (define @t85 () (_ tptp.ord_min_nat @t84)) % 0.40/0.90 (define @t86 () (@list @t84)) % 0.40/0.90 (define @t87 () (_ @t80 @t29)) % 0.40/0.90 (define @t88 () (@list @t31 @t29)) % 0.40/0.90 (define @t89 () (@var "B" tptp.nat)) % 0.40/0.90 (define @t90 () (_ @t85 @t89)) % 0.40/0.90 (define @t91 () (@list @t84 @t89)) % 0.40/0.90 (define @t92 () (_ tptp.ord_min_real @t87)) % 0.40/0.90 (define @t93 () (_ tptp.ord_min_nat @t90)) % 0.40/0.90 (define @t94 () (@var "C" tptp.real)) % 0.40/0.90 (define @t95 () (_ (_ tptp.ord_less_real @t87) @t94)) % 0.40/0.90 (define @t96 () (_ tptp.ord_less_real @t29)) % 0.40/0.90 (define @t97 () (_ @t96 @t94)) % 0.40/0.90 (define @t98 () (@list @t29 @t94 @t31)) % 0.40/0.90 (define @t99 () (@var "C" tptp.nat)) % 0.40/0.90 (define @t100 () (_ (_ tptp.ord_less_nat @t90) @t99)) % 0.40/0.90 (define @t101 () (_ tptp.ord_less_nat @t89)) % 0.40/0.90 (define @t102 () (_ @t101 @t99)) % 0.40/0.90 (define @t103 () (@list @t89 @t99 @t84)) % 0.40/0.90 (define @t104 () (_ @t32 @t94)) % 0.40/0.90 (define @t105 () (@list @t31 @t94 @t29)) % 0.40/0.90 (define @t106 () (_ tptp.ord_less_nat @t84)) % 0.40/0.90 (define @t107 () (_ @t106 @t99)) % 0.40/0.90 (define @t108 () (@list @t84 @t99 @t89)) % 0.40/0.90 (define @t109 () (_ tptp.ord_min_real @t29)) % 0.40/0.90 (define @t110 () (_ @t109 @t94)) % 0.40/0.90 (define @t111 () (@list @t31 @t29 @t94)) % 0.40/0.90 (define @t112 () (_ @t106 @t89)) % 0.40/0.90 (define @t113 () (_ tptp.ord_min_nat @t89)) % 0.40/0.90 (define @t114 () (_ @t113 @t99)) % 0.40/0.90 (define @t115 () (@list @t84 @t89 @t99)) % 0.40/0.90 (define @t116 () (_ tptp.ord_less_real @t68)) % 0.40/0.90 (define @t117 () (_ @t116 @t69)) % 0.40/0.90 (define @t118 () (_ tptp.ord_less_real @t19)) % 0.40/0.90 (define @t119 () (_ @t118 @t69)) % 0.40/0.90 (define @t120 () (@list @t19 @t68 @t69)) % 0.40/0.90 (define @t121 () (_ tptp.ord_less_nat @t76)) % 0.40/0.90 (define @t122 () (_ @t121 @t77)) % 0.40/0.90 (define @t123 () (_ tptp.ord_less_nat @t17)) % 0.40/0.90 (define @t124 () (_ @t123 @t77)) % 0.40/0.90 (define @t125 () (@list @t17 @t76 @t77)) % 0.40/0.90 (define @t126 () (_ @t80 @t110)) % 0.40/0.90 (define @t127 () (@list @t29 @t31 @t94)) % 0.40/0.90 (define @t128 () (_ @t85 @t114)) % 0.40/0.90 (define @t129 () (@list @t89 @t84 @t99)) % 0.40/0.90 (define @t130 () (@var "A2" tptp.real)) % 0.40/0.90 (define @t131 () (@var "B2" tptp.real)) % 0.40/0.90 (define @t132 () (@list @t130 @t131)) % 0.40/0.90 (define @t133 () (lambda @t132 (_ (_ tptp.ord_min_real @t131) @t130))) % 0.40/0.90 (define @t134 () (= tptp.ord_min_real @t133)) % 0.40/0.90 (define @t135 () (@var "A2" tptp.nat)) % 0.40/0.90 (define @t136 () (@var "B2" tptp.nat)) % 0.40/0.90 (define @t137 () (@list @t135 @t136)) % 0.40/0.90 (define @t138 () (@var "Z2" tptp.real)) % 0.40/0.90 (define @t139 () (not (= (_ @t28 @t138) tptp.zero_zero_real))) % 0.40/0.90 (define @t140 () (@var "Ub" tptp.real)) % 0.40/0.90 (define @t141 () (@var "Lb" tptp.real)) % 0.40/0.90 (define @t142 () (@list @t138)) % 0.40/0.90 (define @t143 () (not @t45)) % 0.40/0.90 (define @t144 () (@var "Ub2" tptp.real)) % 0.40/0.90 (define @t145 () (@var "Lb2" tptp.real)) % 0.40/0.90 (define @t146 () (_ tptp.ord_less_real @t145)) % 0.40/0.90 (define @t147 () (@list @t144)) % 0.40/0.90 (define @t148 () (@var "P" tptp.poly_nat)) % 0.40/0.90 (define @t149 () (@var "P" tptp.poly_poly_nat)) % 0.40/0.90 (define @t150 () (_ tptp.sturm_1076696862f_real tptp.p)) % 0.40/0.90 (define @t151 () (= (_ tptp.sgn_sgn_real @t3) @t150)) % 0.40/0.90 (define @t152 () (_ tptp.ord_less_eq_real @t1)) % 0.40/0.90 (define @t153 () (= (_ (_ tptp.order_real @t31) @t27) tptp.zero_zero_nat)) % 0.40/0.90 (define @t154 () (= @t36 tptp.zero_zero_real)) % 0.40/0.90 (define @t155 () (@list @t27 @t31)) % 0.40/0.90 (define @t156 () (@var "A" tptp.poly_real)) % 0.40/0.90 (define @t157 () (= (_ (_ tptp.order_poly_real @t156) @t49) tptp.zero_zero_nat)) % 0.40/0.90 (define @t158 () (= (_ @t52 @t156) tptp.zero_zero_poly_real)) % 0.40/0.90 (define @t159 () (@list @t49 @t156)) % 0.40/0.90 (define @t160 () (@var "A" tptp.poly_poly_real)) % 0.40/0.90 (define @t161 () (= (_ (_ tptp.order_poly_poly_real @t160) @t40) tptp.zero_zero_nat)) % 0.40/0.90 (define @t162 () (= (_ @t43 @t160) tptp.zero_z1423781445y_real)) % 0.40/0.90 (define @t163 () (@list @t40 @t160)) % 0.40/0.90 (define @t164 () (@var "Dr" tptp.nat)) % 0.40/0.90 (define @t165 () (@var "D" tptp.poly_real)) % 0.40/0.90 (define @t166 () (@var "R" tptp.poly_real)) % 0.40/0.90 (define @t167 () (@var "D" tptp.poly_poly_real)) % 0.40/0.90 (define @t168 () (@var "R" tptp.poly_poly_real)) % 0.40/0.90 (define @t169 () (@var "D" tptp.poly_poly_poly_real)) % 0.40/0.90 (define @t170 () (@var "R" tptp.poly_poly_poly_real)) % 0.40/0.90 (define @t171 () (@var "Z3" tptp.real)) % 0.40/0.90 (define @t172 () (_ @t28 @t171)) % 0.40/0.90 (define @t173 () (_ (_ tptp.ord_less_real @t172) tptp.zero_zero_real)) % 0.40/0.90 (define @t174 () (and (_ @t146 @t171) (_ (_ tptp.ord_less_eq_real @t171) @t140))) % 0.40/0.90 (define @t175 () (@list @t171)) % 0.40/0.90 (define @t176 () (_ @t37 @t172)) % 0.40/0.90 (define @t177 () (not (= @t172 tptp.zero_zero_real))) % 0.40/0.90 (define @t178 () (@list @t145 @t140 @t27)) % 0.40/0.90 (define @t179 () (@var "Lb22" tptp.real)) % 0.40/0.90 (define @t180 () (_ tptp.ord_less_eq_nat @t21)) % 0.40/0.90 (define @t181 () (_ tptp.ord_less_eq_real @t31)) % 0.40/0.90 (define @t182 () (_ @t181 @t94)) % 0.40/0.90 (define @t183 () (_ @t181 @t29)) % 0.40/0.90 (define @t184 () (_ @t181 @t110)) % 0.40/0.90 (define @t185 () (_ tptp.ord_less_eq_nat @t84)) % 0.40/0.90 (define @t186 () (_ @t185 @t99)) % 0.40/0.90 (define @t187 () (_ @t185 @t89)) % 0.40/0.90 (define @t188 () (_ @t185 @t114)) % 0.40/0.90 (define @t189 () (@var "P3" (-> tptp.real Bool))) % 0.40/0.90 (define @t190 () (@var "A3" tptp.set_real)) % 0.40/0.90 (define @t191 () (_ @t2 @t26)) % 0.40/0.90 (define @t192 () (_ tptp.ord_less_eq_real @t26)) % 0.40/0.90 (define @t193 () (= @t191 tptp.zero_zero_real)) % 0.40/0.90 (define @t194 () (@var "Y2" tptp.real)) % 0.40/0.90 (define @t195 () (@var "S" tptp.set_real)) % 0.40/0.90 (define @t196 () (forall @t33 (=> (_ (_ tptp.member_real @t26) @t195) (_ @t192 @t138)))) % 0.40/0.90 (define @t197 () (_ (_ tptp.member_real @t1) @t195)) % 0.40/0.90 (define @t198 () (@list @t194)) % 0.40/0.90 (define @t199 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.40/0.90 (define @t200 () (_ tptp.ord_less_eq_real tptp.zero_zero_real)) % 0.40/0.90 (define @t201 () (@var "D" tptp.real)) % 0.40/0.90 (define @t202 () (_ tptp.ord_less_eq_real @t87)) % 0.40/0.90 (define @t203 () (_ tptp.ord_less_eq_real @t29)) % 0.40/0.90 (define @t204 () (@var "D" tptp.nat)) % 0.40/0.90 (define @t205 () (_ tptp.ord_less_eq_nat @t90)) % 0.40/0.90 (define @t206 () (_ tptp.ord_less_eq_nat @t89)) % 0.40/0.90 (define @t207 () (= @t31 @t87)) % 0.40/0.90 (define @t208 () (= @t84 @t90)) % 0.40/0.90 (define @t209 () (_ @t203 @t31)) % 0.40/0.90 (define @t210 () (@list @t29 @t31)) % 0.40/0.90 (define @t211 () (_ @t206 @t84)) % 0.40/0.90 (define @t212 () (@list @t89 @t84)) % 0.40/0.90 (define @t213 () (_ tptp.ord_min_real @t130)) % 0.40/0.90 (define @t214 () (_ @t213 @t131)) % 0.40/0.90 (define @t215 () (= @t130 @t214)) % 0.40/0.90 (define @t216 () (_ (_ tptp.ord_min_nat @t135) @t136)) % 0.40/0.90 (define @t217 () (_ @t202 @t94)) % 0.40/0.90 (define @t218 () (_ @t205 @t99)) % 0.40/0.90 (define @t219 () (_ @t203 @t94)) % 0.40/0.90 (define @t220 () (_ @t206 @t99)) % 0.40/0.90 (define @t221 () (_ tptp.ord_less_eq_real @t68)) % 0.40/0.90 (define @t222 () (_ @t221 @t69)) % 0.40/0.90 (define @t223 () (_ tptp.ord_less_eq_real @t19)) % 0.40/0.90 (define @t224 () (_ @t223 @t69)) % 0.40/0.90 (define @t225 () (_ tptp.ord_less_eq_nat @t76)) % 0.40/0.90 (define @t226 () (_ @t225 @t77)) % 0.40/0.90 (define @t227 () (_ tptp.ord_less_eq_nat @t17)) % 0.40/0.90 (define @t228 () (_ @t227 @t77)) % 0.40/0.90 (define @t229 () (and (_ (_ tptp.ord_less_eq_real @t145) @t171) (_ (_ tptp.ord_less_real @t171) @t140))) % 0.40/0.90 (define @t230 () (_ tptp.sgn_sgn_real @t19)) % 0.40/0.90 (define @t231 () (_ tptp.sgn_sgn_poly_real @t156)) % 0.40/0.90 (define @t232 () (@list @t156)) % 0.40/0.90 (define @t233 () (_ tptp.sgn_sg2128174761y_real @t160)) % 0.40/0.90 (define @t234 () (@list @t160)) % 0.40/0.90 (define @t235 () (_ tptp.sgn_sgn_real @t31)) % 0.40/0.90 (define @t236 () (_ @t28 @t1)) % 0.40/0.90 (define @t237 () (_ @t116 @t19)) % 0.40/0.90 (define @t238 () (_ @t118 @t68)) % 0.40/0.90 (define @t239 () (not @t238)) % 0.40/0.90 (define @t240 () (= @t19 @t68)) % 0.40/0.90 (define @t241 () (not @t240)) % 0.40/0.90 (define @t242 () (@list @t19 @t68)) % 0.40/0.90 (define @t243 () (= @t84 tptp.zero_zero_nat)) % 0.40/0.90 (define @t244 () (@var "K" tptp.nat)) % 0.40/0.90 (define @t245 () (@var "I" tptp.nat)) % 0.40/0.90 (define @t246 () (_ tptp.ord_less_eq_nat @t245)) % 0.40/0.90 (define @t247 () (@var "J" tptp.nat)) % 0.40/0.90 (define @t248 () (_ @t246 @t247)) % 0.40/0.90 (define @t249 () (_ (_ tptp.ord_less_eq_nat @t62) @t21)) % 0.40/0.90 (define @t250 () (= @t62 @t21)) % 0.40/0.90 (define @t251 () (_ @t180 @t62)) % 0.40/0.90 (define @t252 () (@var "X3" tptp.nat)) % 0.40/0.90 (define @t253 () (@var "Y4" tptp.nat)) % 0.40/0.90 (define @t254 () (@var "P3" (-> tptp.nat Bool))) % 0.40/0.90 (define @t255 () (_ @t254 @t253)) % 0.40/0.90 (define @t256 () (@list @t253)) % 0.40/0.90 (define @t257 () (_ @t254 @t252)) % 0.40/0.90 (define @t258 () (@list @t252)) % 0.40/0.90 (define @t259 () (@var "Y2" tptp.nat)) % 0.40/0.90 (define @t260 () (@var "F" (-> tptp.nat tptp.nat))) % 0.40/0.90 (define @t261 () (@var "J2" tptp.nat)) % 0.40/0.90 (define @t262 () (@var "I2" tptp.nat)) % 0.40/0.90 (define @t263 () (not @t250)) % 0.40/0.90 (define @t264 () (@var "N2" tptp.nat)) % 0.40/0.90 (define @t265 () (@var "M2" tptp.nat)) % 0.40/0.90 (define @t266 () (= @t265 @t264)) % 0.40/0.90 (define @t267 () (_ (_ tptp.ord_less_nat @t265) @t264)) % 0.40/0.90 (define @t268 () (@list @t265 @t264)) % 0.40/0.90 (define @t269 () (_ @t121 @t17)) % 0.40/0.90 (define @t270 () (_ @t123 @t76)) % 0.40/0.90 (define @t271 () (not @t270)) % 0.40/0.90 (define @t272 () (= @t17 @t76)) % 0.40/0.90 (define @t273 () (not @t272)) % 0.40/0.90 (define @t274 () (@list @t17 @t76)) % 0.40/0.90 (define @t275 () (_ @t254 @t21)) % 0.40/0.90 (define @t276 () (@var "M3" tptp.nat)) % 0.40/0.90 (define @t277 () (_ @t254 @t276)) % 0.40/0.90 (define @t278 () (@var "N3" tptp.nat)) % 0.40/0.90 (define @t279 () (_ (_ tptp.ord_less_nat @t276) @t278)) % 0.40/0.90 (define @t280 () (@list @t276)) % 0.40/0.90 (define @t281 () (_ @t254 @t278)) % 0.40/0.90 (define @t282 () (=> (not @t281) (exists @t280 (and @t279 (not @t277))))) % 0.40/0.90 (define @t283 () (@list @t278)) % 0.40/0.90 (define @t284 () (@list @t254 @t21)) % 0.40/0.90 (define @t285 () (@var "T" tptp.nat)) % 0.40/0.90 (define @t286 () (@var "S2" tptp.nat)) % 0.40/0.90 (define @t287 () (_ @t61 @t62)) % 0.40/0.90 (define @t288 () (_ @t254 tptp.zero_zero_nat)) % 0.40/0.90 (define @t289 () (@var "K2" tptp.nat)) % 0.40/0.90 (define @t290 () (_ @t254 @t289)) % 0.40/0.90 (define @t291 () (@var "I3" tptp.nat)) % 0.40/0.90 (define @t292 () (_ @t254 @t291)) % 0.40/0.90 (define @t293 () (@list @t291)) % 0.40/0.90 (define @t294 () (_ (_ tptp.ord_less_eq_nat @t289) @t21)) % 0.40/0.90 (define @t295 () (@list @t289)) % 0.40/0.90 (define @t296 () (_ @t185 tptp.zero_zero_nat)) % 0.40/0.90 (define @t297 () (_ @t223 @t68)) % 0.40/0.90 (define @t298 () (_ @t227 @t76)) % 0.40/0.90 (define @t299 () (_ @t221 @t19)) % 0.40/0.90 (define @t300 () (@list @t68 @t19)) % 0.40/0.90 (define @t301 () (_ @t225 @t17)) % 0.40/0.90 (define @t302 () (@list @t76 @t17)) % 0.40/0.90 (define @t303 () (_ (_ tptp.ord_less_eq_real @t130) @t131)) % 0.40/0.90 (define @t304 () (lambda @t132 (_ (_ (_ tptp.if_real @t303) @t130) @t131))) % 0.40/0.90 (define @t305 () (= tptp.ord_min_real @t304)) % 0.40/0.90 (define @t306 () (_ (_ tptp.ord_less_eq_nat @t135) @t136)) % 0.40/0.90 (define @t307 () (= @t31 @t29)) % 0.40/0.90 (define @t308 () (= @t84 @t89)) % 0.40/0.90 (define @t309 () (_ (_ tptp.ord_less_eq_real @t131) @t130)) % 0.40/0.90 (define @t310 () (@var "Z4" tptp.real)) % 0.40/0.90 (define @t311 () (@var "Y5" tptp.real)) % 0.40/0.90 (define @t312 () (lambda (@list @t311 @t310) (= @t311 @t310))) % 0.40/0.90 (define @t313 () (_ (_ tptp.ord_less_eq_nat @t136) @t135)) % 0.40/0.90 (define @t314 () (@var "Z4" tptp.nat)) % 0.40/0.90 (define @t315 () (@var "Y5" tptp.nat)) % 0.40/0.90 (define @t316 () (lambda (@list @t315 @t314) (= @t315 @t314))) % 0.40/0.90 (define @t317 () (_ tptp.ord_less_eq_real @t94)) % 0.40/0.90 (define @t318 () (_ tptp.ord_less_eq_nat @t99)) % 0.40/0.90 (define @t319 () (@var "P3" (-> tptp.real tptp.real Bool))) % 0.40/0.90 (define @t320 () (@var "B3" tptp.real)) % 0.40/0.90 (define @t321 () (@var "A4" tptp.real)) % 0.40/0.90 (define @t322 () (_ @t319 @t321)) % 0.40/0.90 (define @t323 () (_ @t322 @t320)) % 0.40/0.90 (define @t324 () (@list @t321 @t320)) % 0.40/0.90 (define @t325 () (=> (forall @t324 (=> (_ (_ @t319 @t320) @t321) @t323)) (_ (_ @t319 @t31) @t29))) % 0.40/0.90 (define @t326 () (@list @t319 @t31 @t29)) % 0.40/0.90 (define @t327 () (@var "P3" (-> tptp.nat tptp.nat Bool))) % 0.40/0.90 (define @t328 () (@var "B3" tptp.nat)) % 0.40/0.90 (define @t329 () (@var "A4" tptp.nat)) % 0.40/0.90 (define @t330 () (_ @t327 @t329)) % 0.40/0.90 (define @t331 () (_ @t330 @t328)) % 0.40/0.90 (define @t332 () (@list @t329 @t328)) % 0.40/0.90 (define @t333 () (=> (forall @t332 (=> (_ (_ @t327 @t328) @t329) @t331)) (_ (_ @t327 @t84) @t89))) % 0.40/0.90 (define @t334 () (@list @t327 @t84 @t89)) % 0.40/0.90 (define @t335 () (= @t29 @t94)) % 0.40/0.90 (define @t336 () (= @t89 @t99)) % 0.40/0.90 (define @t337 () (=> @t219 @t182)) % 0.40/0.90 (define @t338 () (=> @t220 @t186)) % 0.40/0.90 (define @t339 () (not @t297)) % 0.40/0.90 (define @t340 () (_ tptp.ord_less_eq_real @t69)) % 0.40/0.90 (define @t341 () (_ @t340 @t19)) % 0.40/0.90 (define @t342 () (_ @t340 @t68)) % 0.40/0.90 (define @t343 () (not @t298)) % 0.40/0.90 (define @t344 () (_ tptp.ord_less_eq_nat @t77)) % 0.40/0.90 (define @t345 () (_ @t344 @t17)) % 0.40/0.90 (define @t346 () (_ @t344 @t76)) % 0.40/0.90 (define @t347 () (@var "Y3" tptp.real)) % 0.40/0.90 (define @t348 () (_ (_ tptp.ord_less_eq_real @t46) @t347)) % 0.40/0.90 (define @t349 () (@list @t46 @t347)) % 0.40/0.90 (define @t350 () (@var "X4" tptp.nat)) % 0.40/0.90 (define @t351 () (@var "Y3" tptp.nat)) % 0.40/0.90 (define @t352 () (_ (_ tptp.ord_less_eq_nat @t350) @t351)) % 0.40/0.90 (define @t353 () (@list @t350 @t351)) % 0.40/0.90 (define @t354 () (@var "F" (-> tptp.real tptp.real))) % 0.40/0.90 (define @t355 () (_ @t354 @t31)) % 0.40/0.90 (define @t356 () (_ @t354 @t194)) % 0.40/0.90 (define @t357 () (_ @t354 @t26)) % 0.40/0.90 (define @t358 () (_ @t192 @t194)) % 0.40/0.90 (define @t359 () (@list @t26 @t194)) % 0.40/0.90 (define @t360 () (forall @t359 (=> @t358 (_ (_ tptp.ord_less_eq_real @t357) @t356)))) % 0.40/0.90 (define @t361 () (=> @t360 (_ (_ tptp.ord_less_eq_real @t355) @t94))) % 0.40/0.90 (define @t362 () (_ @t354 @t29)) % 0.40/0.90 (define @t363 () (= @t362 @t94)) % 0.40/0.90 (define @t364 () (@list @t31 @t29 @t354 @t94)) % 0.40/0.90 (define @t365 () (@var "F" (-> tptp.real tptp.nat))) % 0.40/0.90 (define @t366 () (_ @t365 @t31)) % 0.40/0.90 (define @t367 () (_ @t365 @t194)) % 0.40/0.90 (define @t368 () (_ @t365 @t26)) % 0.40/0.90 (define @t369 () (forall @t359 (=> @t358 (_ (_ tptp.ord_less_eq_nat @t368) @t367)))) % 0.40/0.90 (define @t370 () (=> @t369 (_ (_ tptp.ord_less_eq_nat @t366) @t99))) % 0.40/0.90 (define @t371 () (_ @t365 @t29)) % 0.40/0.90 (define @t372 () (= @t371 @t99)) % 0.40/0.90 (define @t373 () (@list @t31 @t29 @t365 @t99)) % 0.40/0.90 (define @t374 () (@var "F" (-> tptp.nat tptp.real))) % 0.40/0.90 (define @t375 () (_ @t374 @t84)) % 0.40/0.90 (define @t376 () (_ @t374 @t259)) % 0.40/0.90 (define @t377 () (_ @t374 @t252)) % 0.40/0.90 (define @t378 () (_ (_ tptp.ord_less_eq_nat @t252) @t259)) % 0.40/0.90 (define @t379 () (@list @t252 @t259)) % 0.40/0.90 (define @t380 () (forall @t379 (=> @t378 (_ (_ tptp.ord_less_eq_real @t377) @t376)))) % 0.40/0.90 (define @t381 () (=> @t380 (_ (_ tptp.ord_less_eq_real @t375) @t94))) % 0.40/0.90 (define @t382 () (_ @t374 @t89)) % 0.40/0.90 (define @t383 () (= @t382 @t94)) % 0.40/0.90 (define @t384 () (@list @t84 @t89 @t374 @t94)) % 0.40/0.90 (define @t385 () (_ @t260 @t84)) % 0.40/0.90 (define @t386 () (_ @t260 @t259)) % 0.40/0.90 (define @t387 () (_ @t260 @t252)) % 0.40/0.90 (define @t388 () (forall @t379 (=> @t378 (_ (_ tptp.ord_less_eq_nat @t387) @t386)))) % 0.40/0.90 (define @t389 () (=> @t388 (_ (_ tptp.ord_less_eq_nat @t385) @t99))) % 0.40/0.90 (define @t390 () (_ @t260 @t89)) % 0.40/0.90 (define @t391 () (= @t390 @t99)) % 0.40/0.90 (define @t392 () (@list @t84 @t89 @t260 @t99)) % 0.40/0.90 (define @t393 () (_ @t354 @t94)) % 0.40/0.90 (define @t394 () (=> @t219 (=> @t360 (_ @t181 @t393)))) % 0.40/0.90 (define @t395 () (= @t31 @t362)) % 0.40/0.90 (define @t396 () (@list @t31 @t354 @t29 @t94)) % 0.40/0.90 (define @t397 () (_ @t365 @t94)) % 0.40/0.90 (define @t398 () (=> @t219 (=> @t369 (_ @t185 @t397)))) % 0.40/0.90 (define @t399 () (= @t84 @t371)) % 0.40/0.90 (define @t400 () (@list @t84 @t365 @t29 @t94)) % 0.40/0.90 (define @t401 () (_ @t374 @t99)) % 0.40/0.90 (define @t402 () (=> @t220 (=> @t380 (_ @t181 @t401)))) % 0.40/0.90 (define @t403 () (= @t31 @t382)) % 0.40/0.90 (define @t404 () (@list @t31 @t374 @t89 @t99)) % 0.40/0.90 (define @t405 () (_ @t260 @t99)) % 0.40/0.90 (define @t406 () (=> @t220 (=> @t388 (_ @t185 @t405)))) % 0.40/0.90 (define @t407 () (= @t84 @t390)) % 0.40/0.90 (define @t408 () (@list @t84 @t260 @t89 @t99)) % 0.40/0.90 (define @t409 () (_ @t181 @t362)) % 0.40/0.90 (define @t410 () (_ @t181 @t382)) % 0.40/0.90 (define @t411 () (_ @t185 @t371)) % 0.40/0.90 (define @t412 () (_ @t185 @t390)) % 0.40/0.90 (define @t413 () (_ @t30 @t194)) % 0.40/0.90 (define @t414 () (forall @t359 (=> @t413 (_ (_ tptp.ord_less_real @t357) @t356)))) % 0.40/0.90 (define @t415 () (=> @t97 (=> @t414 (_ @t32 @t393)))) % 0.40/0.90 (define @t416 () (_ @t106 @t397)) % 0.40/0.90 (define @t417 () (forall @t359 (=> @t413 (_ (_ tptp.ord_less_nat @t368) @t367)))) % 0.40/0.90 (define @t418 () (=> @t97 (=> @t417 @t416))) % 0.40/0.90 (define @t419 () (_ @t32 @t401)) % 0.40/0.90 (define @t420 () (_ (_ tptp.ord_less_nat @t252) @t259)) % 0.40/0.90 (define @t421 () (forall @t379 (=> @t420 (_ (_ tptp.ord_less_real @t377) @t376)))) % 0.40/0.90 (define @t422 () (=> @t102 (=> @t421 @t419))) % 0.40/0.90 (define @t423 () (_ @t106 @t405)) % 0.40/0.90 (define @t424 () (forall @t379 (=> @t420 (_ (_ tptp.ord_less_nat @t387) @t386)))) % 0.40/0.90 (define @t425 () (=> @t102 (=> @t424 @t423))) % 0.40/0.90 (define @t426 () (_ (_ tptp.ord_less_real @t355) @t94)) % 0.40/0.90 (define @t427 () (=> @t414 @t426)) % 0.40/0.90 (define @t428 () (_ (_ tptp.ord_less_nat @t366) @t99)) % 0.40/0.90 (define @t429 () (=> @t417 @t428)) % 0.40/0.90 (define @t430 () (_ (_ tptp.ord_less_real @t375) @t94)) % 0.40/0.90 (define @t431 () (=> @t421 @t430)) % 0.40/0.90 (define @t432 () (_ (_ tptp.ord_less_nat @t385) @t99)) % 0.40/0.90 (define @t433 () (=> @t424 @t432)) % 0.40/0.90 (define @t434 () (_ @t32 @t382)) % 0.40/0.90 (define @t435 () (_ @t106 @t371)) % 0.40/0.90 (define @t436 () (_ @t106 @t390)) % 0.40/0.90 (define @t437 () (_ (_ tptp.ord_less_real @t362) @t94)) % 0.40/0.90 (define @t438 () (_ (_ tptp.ord_less_nat @t371) @t99)) % 0.40/0.90 (define @t439 () (_ (_ tptp.ord_less_real @t382) @t94)) % 0.40/0.90 (define @t440 () (_ (_ tptp.ord_less_nat @t390) @t99)) % 0.40/0.90 (define @t441 () (@var "X_1" tptp.real)) % 0.40/0.90 (define @t442 () (@var "X_1" tptp.nat)) % 0.40/0.90 (define @t443 () (_ @t96 @t31)) % 0.40/0.90 (define @t444 () (_ @t101 @t84)) % 0.40/0.90 (define @t445 () (@var "Z5" tptp.real)) % 0.40/0.90 (define @t446 () (not @t237)) % 0.40/0.90 (define @t447 () (not @t269)) % 0.40/0.90 (define @t448 () (=> @t97 @t104)) % 0.40/0.90 (define @t449 () (=> @t102 @t107)) % 0.40/0.90 (define @t450 () (@var "P3" Bool)) % 0.40/0.90 (define @t451 () (@var "P5" (-> tptp.nat Bool))) % 0.40/0.90 (define @t452 () (@var "X5" tptp.nat)) % 0.40/0.90 (define @t453 () (@var "P4" (-> tptp.nat Bool))) % 0.40/0.90 (define @t454 () (_ tptp.ord_less_real @t94)) % 0.40/0.90 (define @t455 () (_ tptp.ord_less_nat @t99)) % 0.40/0.90 (define @t456 () (not @t307)) % 0.40/0.90 (define @t457 () (not @t308)) % 0.40/0.90 (define @t458 () (= @t350 @t351)) % 0.40/0.90 (define @t459 () (= @t46 @t347)) % 0.40/0.90 (define @t460 () (not @t459)) % 0.40/0.90 (define @t461 () (_ (_ (_ tptp.if_real false) @t19) @t68)) % 0.40/0.90 (define @t462 () (forall @t242 (= @t461 @t68))) % 0.40/0.90 (define @t463 () (not @t193)) % 0.40/0.90 (define @t464 () (or @t463 (_ (_ tptp.ord_less_real tptp.lb) @t26))) % 0.40/0.90 (define @t465 () (forall @t33 @t464)) % 0.40/0.90 (define @t466 () (not @t465)) % 0.40/0.90 (define @t467 () (= @t130 @t131)) % 0.40/0.90 (define @t468 () (and @t215 (not @t467))) % 0.40/0.90 (define @t469 () (lambda @t132 @t468)) % 0.40/0.90 (define @t470 () (= @t135 @t216)) % 0.40/0.90 (define @t471 () (lambda @t137 (and @t470 (not (= @t135 @t136))))) % 0.40/0.90 (define @t472 () (@var "P2" tptp.poly_real)) % 0.40/0.90 (define @t473 () (lambda (@list @t472) (= @t472 tptp.zero_zero_poly_real))) % 0.40/0.90 (define @t474 () (@var "P2" tptp.poly_nat)) % 0.40/0.90 (define @t475 () (lambda (@list @t474) (= @t474 tptp.zero_zero_poly_nat))) % 0.40/0.90 (define @t476 () (@var "P2" tptp.poly_poly_real)) % 0.40/0.90 (define @t477 () (lambda (@list @t476) (= @t476 tptp.zero_z1423781445y_real))) % 0.40/0.90 (define @t478 () (or (_ (_ tptp.ord_less_real @t46) @t347) @t459)) % 0.40/0.90 (define @t479 () (lambda @t349 @t478)) % 0.40/0.90 (define @t480 () (lambda @t137 @t470)) % 0.40/0.90 (define @t481 () (tptp.ord_min_real @t19 @t68)) % 0.40/0.90 (define @t482 () (= @t69 @t72)) % 0.40/0.90 (define @t483 () (not @t482)) % 0.40/0.90 (define @t484 () (tptp.ord_min_real @t69 @t481)) % 0.40/0.90 (define @t485 () (_ tptp.ord_min_real @t69)) % 0.40/0.90 (define @t486 () (_ @t485 @t72)) % 0.40/0.90 (define @t487 () (= @t69 @t486)) % 0.40/0.90 (define @t488 () (and @t487 @t483)) % 0.40/0.90 (define @t489 () (not (= @t69 @t68))) % 0.40/0.90 (define @t490 () (tptp.ord_min_real @t69 @t68)) % 0.40/0.90 (define @t491 () (_ @t485 @t68)) % 0.40/0.90 (define @t492 () (= @t69 @t491)) % 0.40/0.90 (define @t493 () (not (= @t19 @t69))) % 0.40/0.90 (define @t494 () (tptp.ord_min_real @t69 @t19)) % 0.40/0.90 (define @t495 () (_ @t485 @t19)) % 0.40/0.90 (define @t496 () (= @t69 @t495)) % 0.40/0.90 (define @t497 () (and @t496 @t493 @t492 @t489)) % 0.40/0.90 (define @t498 () (= @t497 @t488)) % 0.40/0.90 (define @t499 () (@list @t131)) % 0.40/0.90 (define @t500 () (lambda @t499 (and (= @t69 (_ @t485 @t131)) (not (= @t69 @t131))))) % 0.40/0.90 (define @t501 () (_ @t469 @t69)) % 0.40/0.90 (define @t502 () (and @t492 @t489)) % 0.40/0.90 (define @t503 () (not (= @t69 @t19))) % 0.40/0.90 (define @t504 () (and @t496 @t503)) % 0.40/0.90 (define @t505 () (and (_ @t501 @t19) (_ @t501 @t68))) % 0.40/0.90 (define @t506 () (_ @t501 @t72)) % 0.40/0.90 (define @t507 () (@var "BOUND_VARIABLE_17265" tptp.real)) % 0.40/0.90 (define @t508 () (not (= tptp.zero_zero_real (tptp.poly_real2 tptp.p @t507)))) % 0.40/0.90 (define @t509 () (tptp.ord_min_real tptp.lb1 tptp.lb2)) % 0.40/0.90 (define @t510 () (@list @t507)) % 0.40/0.90 (define @t511 () (forall @t510 (or (= @t509 (tptp.ord_min_real @t509 @t507)) @t508))) % 0.40/0.90 (define @t512 () (@quantifiers_skolemize @t511 0)) % 0.40/0.90 (define @t513 () (tptp.if_real false @t19 @t68)) % 0.40/0.90 (define @t514 () (= @t68 @t461)) % 0.40/0.90 (define @t515 () (@purify false)) % 0.40/0.90 (define @t516 () (not @t515)) % 0.40/0.90 (define @t517 () (tptp.if_real false tptp.lb1 tptp.lb2)) % 0.40/0.90 (define @t518 () (= tptp.lb2 @t517)) % 0.40/0.90 (define @t519 () (forall @t242 (= @t68 @t513))) % 0.40/0.90 (define @t520 () (tptp.if_real @t515 tptp.lb1 tptp.lb2)) % 0.40/0.90 (define @t521 () (= tptp.lb2 @t520)) % 0.40/0.90 (define @t522 () (@list false)) % 0.40/0.90 (define @t523 () (= tptp.zero_zero_real (tptp.poly_real2 tptp.p tptp.lb1))) % 0.40/0.90 (define @t524 () (not @t523)) % 0.40/0.90 (define @t525 () (not (= tptp.lb1 tptp.lb1))) % 0.40/0.90 (define @t526 () (or @t525 @t524)) % 0.40/0.90 (define @t527 () (@var "BOUND_VARIABLE_9564" tptp.real)) % 0.40/0.90 (define @t528 () (not (= tptp.zero_zero_real (tptp.poly_real2 tptp.p @t527)))) % 0.40/0.90 (define @t529 () (not (= tptp.lb1 @t527))) % 0.40/0.90 (define @t530 () (@list @t527)) % 0.40/0.90 (define @t531 () (or @t529 @t529 @t528)) % 0.40/0.90 (define @t532 () (or @t529 @t528)) % 0.40/0.90 (define @t533 () (forall @t530 @t532)) % 0.40/0.90 (define @t534 () (@var "BOUND_VARIABLE_9554" tptp.real)) % 0.40/0.90 (define @t535 () (forall (@list @t534) (or (= tptp.lb1 (tptp.ord_min_real tptp.lb1 @t534)) (not (= tptp.zero_zero_real (tptp.poly_real2 tptp.p @t534)))))) % 0.40/0.90 (define @t536 () (tptp.poly_real2 tptp.p @t1)) % 0.40/0.90 (define @t537 () (not (= tptp.zero_zero_real @t536))) % 0.40/0.90 (define @t538 () (not (= tptp.lb1 @t1))) % 0.40/0.90 (define @t539 () (or @t538 @t537)) % 0.40/0.90 (define @t540 () (forall @t6 @t539)) % 0.40/0.90 (define @t541 () (@list @t1)) % 0.40/0.90 (define @t542 () (tptp.ord_min_real tptp.lb1 @t1)) % 0.40/0.90 (define @t543 () (= tptp.lb1 @t542)) % 0.40/0.90 (define @t544 () (or @t543 @t537)) % 0.40/0.90 (define @t545 () (forall @t6 @t544)) % 0.40/0.90 (define @t546 () (and @t545 @t540)) % 0.40/0.90 (define @t547 () (and @t543 @t538)) % 0.40/0.90 (define @t548 () (or @t547 @t537)) % 0.40/0.90 (define @t549 () (or @t537 @t547)) % 0.40/0.90 (define @t550 () (_ @t8 @t1)) % 0.40/0.90 (define @t551 () (= tptp.lb1 @t550)) % 0.40/0.90 (define @t552 () (and @t551 @t538)) % 0.40/0.90 (define @t553 () (= tptp.zero_zero_real @t3)) % 0.40/0.90 (define @t554 () (not @t553)) % 0.40/0.90 (define @t555 () (or @t554 @t552)) % 0.40/0.90 (define @t556 () (lambda @t499 (and (= tptp.lb1 (_ @t8 @t131)) (not (= tptp.lb1 @t131))))) % 0.40/0.90 (define @t557 () (_ @t469 tptp.lb1)) % 0.40/0.90 (define @t558 () (=> @t4 (_ @t557 @t1))) % 0.40/0.90 (define @t559 () (tptp.poly_real2 tptp.p @t509)) % 0.40/0.90 (define @t560 () (= tptp.zero_zero_real @t559)) % 0.40/0.90 (define @t561 () (not @t560)) % 0.40/0.90 (define @t562 () (= tptp.lb1 @t509)) % 0.40/0.90 (define @t563 () (not @t562)) % 0.40/0.90 (define @t564 () (and @t524 @t562)) % 0.40/0.90 (define @t565 () (not @t511)) % 0.40/0.90 (define @t566 () (tptp.poly_real2 tptp.p @t9)) % 0.40/0.90 (define @t567 () (= tptp.zero_zero_real @t566)) % 0.40/0.90 (define @t568 () (not @t567)) % 0.40/0.90 (define @t569 () (and @t511 @t568)) % 0.40/0.90 (define @t570 () (tptp.ord_min_real @t9 @t507)) % 0.40/0.90 (define @t571 () (= @t9 @t570)) % 0.40/0.90 (define @t572 () (or @t571 @t508)) % 0.40/0.90 (define @t573 () (forall @t510 @t572)) % 0.40/0.90 (define @t574 () (and @t573 @t568)) % 0.40/0.90 (define @t575 () (tptp.poly_real2 tptp.p tptp.lb)) % 0.40/0.90 (define @t576 () (= tptp.zero_zero_real @t575)) % 0.40/0.90 (define @t577 () (not @t576)) % 0.40/0.90 (define @t578 () (tptp.ord_min_real tptp.lb @t507)) % 0.40/0.90 (define @t579 () (= tptp.lb @t578)) % 0.40/0.90 (define @t580 () (or @t579 @t508)) % 0.40/0.90 (define @t581 () (forall @t510 @t580)) % 0.40/0.90 (define @t582 () (and @t581 @t577)) % 0.40/0.90 (define @t583 () (not (= tptp.lb tptp.lb))) % 0.40/0.90 (define @t584 () (or @t583 @t577)) % 0.40/0.90 (define @t585 () (@var "BOUND_VARIABLE_17275" tptp.real)) % 0.40/0.90 (define @t586 () (not (= tptp.zero_zero_real (tptp.poly_real2 tptp.p @t585)))) % 0.40/0.90 (define @t587 () (not (= tptp.lb @t585))) % 0.40/0.90 (define @t588 () (@list @t585)) % 0.40/0.90 (define @t589 () (or @t587 @t587 @t586)) % 0.40/0.90 (define @t590 () (or @t587 @t586)) % 0.40/0.90 (define @t591 () (forall @t588 @t590)) % 0.40/0.90 (define @t592 () (tptp.poly_real2 tptp.p @t26)) % 0.40/0.90 (define @t593 () (not (= tptp.zero_zero_real @t592))) % 0.40/0.90 (define @t594 () (not (= tptp.lb @t26))) % 0.40/0.90 (define @t595 () (or @t594 @t593)) % 0.40/0.90 (define @t596 () (forall @t33 @t595)) % 0.40/0.90 (define @t597 () (@list @t26)) % 0.40/0.90 (define @t598 () (tptp.ord_min_real tptp.lb @t26)) % 0.40/0.90 (define @t599 () (= tptp.lb @t598)) % 0.40/0.90 (define @t600 () (or @t599 @t593)) % 0.40/0.90 (define @t601 () (forall @t33 @t600)) % 0.40/0.90 (define @t602 () (and @t601 @t596)) % 0.40/0.90 (define @t603 () (and @t599 @t594)) % 0.40/0.90 (define @t604 () (or @t603 @t593)) % 0.40/0.90 (define @t605 () (or @t593 @t603)) % 0.40/0.90 (define @t606 () (_ tptp.ord_min_real tptp.lb)) % 0.40/0.90 (define @t607 () (_ @t606 @t26)) % 0.40/0.90 (define @t608 () (= tptp.lb @t607)) % 0.40/0.90 (define @t609 () (and @t608 @t594)) % 0.40/0.90 (define @t610 () (= tptp.zero_zero_real @t191)) % 0.40/0.90 (define @t611 () (not @t610)) % 0.40/0.90 (define @t612 () (or @t611 @t609)) % 0.40/0.90 (define @t613 () (lambda @t499 (and (= tptp.lb (_ @t606 @t131)) (not (= tptp.lb @t131))))) % 0.40/0.90 (define @t614 () (_ @t469 tptp.lb)) % 0.40/0.90 (define @t615 () (or @t463 (_ @t614 @t26))) % 0.40/0.90 (define @t616 () (forall @t33 @t615)) % 0.40/0.90 (define @t617 () (= tptp.zero_zero_real (tptp.poly_real2 tptp.p @t512))) % 0.40/0.90 (define @t618 () (not @t617)) % 0.40/0.90 (define @t619 () (= @t509 (tptp.ord_min_real @t509 @t512))) % 0.40/0.90 (define @t620 () (or @t619 @t618)) % 0.40/0.90 (define @t621 () (not @t620)) % 0.40/0.90 (define @t622 () (tptp.ord_min_real tptp.lb1 @t512)) % 0.40/0.90 (define @t623 () (= tptp.lb1 @t622)) % 0.40/0.90 (define @t624 () (or @t623 @t618)) % 0.40/0.90 (define @t625 () (not @t623)) % 0.40/0.90 (define @t626 () (not @t619)) % 0.40/0.90 (define @t627 () (and @t626 @t562)) % 0.40/0.90 (define @t628 () (= tptp.zero_zero_real (tptp.poly_real2 tptp.p tptp.lb2))) % 0.40/0.90 (define @t629 () (not @t628)) % 0.40/0.90 (define @t630 () (or @t562 @t629)) % 0.40/0.90 (define @t631 () (@list true false)) % 0.40/0.90 (define @t632 () (or @t468 @t467)) % 0.40/0.90 (define @t633 () (lambda @t132 (_ (_ (_ tptp.if_real @t632) @t130) @t131))) % 0.40/0.90 (define @t634 () (@purify @t633)) % 0.40/0.90 (define @t635 () (= @t130 @t347)) % 0.40/0.90 (define @t636 () (lambda (@list @t347) (or (and (= @t130 (_ @t213 @t347)) (not @t635)) @t635))) % 0.40/0.90 (define @t637 () (_ tptp.ord_min_real @t46)) % 0.40/0.90 (define @t638 () (and (= @t46 (_ @t637 @t347)) @t460)) % 0.40/0.90 (define @t639 () (_ (lambda @t349 (or @t638 @t459)) @t130)) % 0.40/0.90 (define @t640 () (lambda @t132 (_ (_ (_ tptp.if_real (_ @t639 @t131)) @t130) @t131))) % 0.40/0.90 (define @t641 () (lambda @t499 (and (= @t46 (_ @t637 @t131)) (not (= @t46 @t131))))) % 0.40/0.90 (define @t642 () (_ @t469 @t46)) % 0.40/0.90 (define @t643 () (= tptp.lb1 tptp.lb2)) % 0.40/0.90 (define @t644 () (not @t643)) % 0.40/0.90 (define @t645 () (= tptp.lb1 @t9)) % 0.40/0.90 (define @t646 () (and @t645 @t644)) % 0.40/0.90 (define @t647 () (or @t646 @t643)) % 0.40/0.90 (define @t648 () (@purify @t647)) % 0.40/0.90 (define @t649 () (tptp.if_real @t648 tptp.lb1 tptp.lb2)) % 0.40/0.90 (define @t650 () (_ (_ (_ tptp.if_real @t648) tptp.lb1) tptp.lb2)) % 0.40/0.90 (define @t651 () (= @t647 @t648)) % 0.40/0.90 (define @t652 () (= @t509 (_ (_ (_ tptp.if_real @t647) tptp.lb1) tptp.lb2))) % 0.40/0.90 (define @t653 () (= tptp.ord_min_real @t634)) % 0.40/0.90 (define @t654 () (=> @t653 @t652)) % 0.40/0.90 (define @t655 () (= @t509 @t649)) % 0.40/0.90 (define @t656 () (and @t562 @t644)) % 0.40/0.90 (define @t657 () (not @t656)) % 0.40/0.90 (define @t658 () (@list true)) % 0.40/0.90 (define @t659 () (tptp.ord_min_real @t31 @t31)) % 0.40/0.90 (define @t660 () (= @t31 @t81)) % 0.40/0.90 (define @t661 () (tptp.ord_min_real tptp.lb1 tptp.lb1)) % 0.40/0.90 (define @t662 () (= tptp.lb1 @t661)) % 0.40/0.90 (define @t663 () (and @t643 @t662)) % 0.40/0.90 (define @t664 () (not @t662)) % 0.40/0.90 (define @t665 () (or @t656 @t643)) % 0.40/0.90 (define @t666 () (not @t665)) % 0.40/0.90 (define @t667 () (not @t648)) % 0.40/0.90 (define @t668 () (not @t521)) % 0.40/0.90 (define @t669 () (not @t655)) % 0.40/0.90 (define @t670 () (not @t516)) % 0.40/0.90 (define @t671 () (not @t667)) % 0.40/0.90 (define @t672 () (and @t655 @t667 @t629 @t521 @t516)) % 0.40/0.90 (define @t673 () (@list @t620)) % 0.40/0.90 (define @t674 () (and (= @t509 (tptp.ord_min_real @t509 tptp.lb1)) @t563 @t619 (not (= @t509 @t512)))) % 0.40/0.90 (define @t675 () (not @t674)) % 0.40/0.90 (define @t676 () (= @t509 @t622)) % 0.40/0.90 (define @t677 () (not @t676)) % 0.40/0.90 (define @t678 () (= @t509 (tptp.ord_min_real @t509 @t622))) % 0.40/0.90 (define @t679 () (and @t678 @t677)) % 0.40/0.90 (define @t680 () (= @t674 @t679)) % 0.40/0.90 (define @t681 () (not @t679)) % 0.40/0.90 (define @t682 () (= @t622 @t509)) % 0.40/0.90 (define @t683 () (and @t563 @t623)) % 0.40/0.90 (define @t684 () (@purify @t133)) % 0.40/0.90 (define @t685 () (tptp.ord_min_real tptp.lb2 tptp.lb1)) % 0.40/0.90 (define @t686 () (_ (_ tptp.ord_min_real tptp.lb2) tptp.lb1)) % 0.40/0.90 (define @t687 () (= @t509 @t686)) % 0.40/0.90 (define @t688 () (= tptp.ord_min_real @t684)) % 0.40/0.90 (define @t689 () (=> @t688 @t687)) % 0.40/0.90 (define @t690 () (= @t509 @t685)) % 0.40/0.90 (define @t691 () (not @t690)) % 0.40/0.90 (define @t692 () (and @t655 @t667 @t690 @t623 @t662 @t521 @t516)) % 0.40/0.90 (define @t693 () (not @t678)) % 0.40/0.90 (assume @p1 @t7) % 0.40/0.90 (assume @p2 (= tptp.lb @t9)) % 0.40/0.90 (assume @p3 (not (forall (@list @t10) (not (forall @t6 (=> @t4 (_ (_ tptp.ord_less_real @t10) @t1))))))) % 0.40/0.90 (assume @p4 (not (= tptp.p tptp.zero_zero_poly_real))) % 0.40/0.90 (assume @p5 (forall @t12 (= (_ (_ tptp.poly_poly_nat2 tptp.zero_z1059985641ly_nat) @t11) tptp.zero_zero_poly_nat))) % 0.40/0.90 (assume @p6 (forall @t14 (= (_ (_ tptp.poly_poly_poly_real2 tptp.zero_z935034829y_real) @t13) tptp.zero_z1423781445y_real))) % 0.40/0.90 (assume @p7 (forall @t16 (= (_ (_ tptp.poly_poly_real2 tptp.zero_z1423781445y_real) @t15) tptp.zero_zero_poly_real))) % 0.40/0.90 (assume @p8 (forall @t18 (= (_ (_ tptp.poly_nat2 tptp.zero_zero_poly_nat) @t17) tptp.zero_zero_nat))) % 0.40/0.90 (assume @p9 (forall @t20 (= (_ (_ tptp.poly_real2 tptp.zero_zero_poly_real) @t19) tptp.zero_zero_real))) % 0.40/0.90 (assume @p10 (forall @t25 (= (not @t24) @t22))) % 0.40/0.90 (assume @p11 (forall @t39 (=> @t38 (=> (_ @t37 @t36) (=> (_ (_ tptp.ord_less_real @t35) tptp.zero_zero_real) @t34))))) % 0.40/0.90 (assume @p12 (forall @t39 (=> @t38 (=> (_ (_ tptp.ord_less_real @t36) tptp.zero_zero_real) (=> (_ @t37 @t35) @t34))))) % 0.40/0.90 (assume @p13 (forall @t44 (= (forall (@list @t42) (= (_ @t43 @t42) tptp.zero_z1423781445y_real)) @t41))) % 0.40/0.90 (assume @p14 (forall @t48 (= (forall @t47 (= (_ @t28 @t46) tptp.zero_zero_real)) @t45))) % 0.40/0.90 (assume @p15 (forall @t53 (= (forall (@list @t51) (= (_ @t52 @t51) tptp.zero_zero_poly_real)) @t50))) % 0.40/0.90 (assume @p16 (not (_ @t54 tptp.zero_zero_poly_real))) % 0.40/0.90 (assume @p17 (not (_ @t55 tptp.zero_z1423781445y_real))) % 0.40/0.90 (assume @p18 (not (_ @t37 tptp.zero_zero_real))) % 0.40/0.90 (assume @p19 (not (_ @t23 tptp.zero_zero_nat))) % 0.40/0.90 (assume @p20 (forall (@list @t59 @t56) (=> (_ @t37 @t59) (=> (_ @t37 @t56) (exists (@list @t57) (and (_ @t37 @t57) (_ @t58 @t59) (_ @t58 @t56))))))) % 0.40/0.90 (assume @p21 (forall @t25 (=> @t60 @t24))) % 0.40/0.90 (assume @p22 (forall @t25 (not (_ @t61 tptp.zero_zero_nat)))) % 0.40/0.90 (assume @p23 (forall @t64 (=> @t63 @t60))) % 0.40/0.90 (assume @p24 (forall @t25 (= @t24 @t60))) % 0.40/0.90 (assume @p25 (forall @t20 (= (= tptp.zero_zero_real @t19) @t65))) % 0.40/0.90 (assume @p26 (forall @t16 (= (= tptp.zero_zero_poly_real @t15) (= @t15 tptp.zero_zero_poly_real)))) % 0.40/0.90 (assume @p27 (forall @t18 (= (= tptp.zero_zero_nat @t17) (= @t17 tptp.zero_zero_nat)))) % 0.40/0.90 (assume @p28 (forall @t12 (= (= tptp.zero_zero_poly_nat @t11) (= @t11 tptp.zero_zero_poly_nat)))) % 0.40/0.90 (assume @p29 (forall @t14 (= (= tptp.zero_z1423781445y_real @t13) (= @t13 tptp.zero_z1423781445y_real)))) % 0.40/0.90 (assume @p30 (forall (@list @t27 @t66) (= (= @t28 (_ tptp.poly_real2 @t66)) (= @t27 @t66)))) % 0.40/0.90 (assume @p31 (forall (@list @t49 @t67) (= (= @t52 (_ tptp.poly_poly_real2 @t67)) (= @t49 @t67)))) % 0.40/0.90 (assume @p32 @t75) % 0.40/0.90 (assume @p33 (forall (@list @t77 @t17 @t76) (= (_ @t78 @t79) (and (_ @t78 @t17) (_ @t78 @t76))))) % 0.40/0.90 (assume @p34 @t83) % 0.40/0.90 (assume @p35 (forall @t86 (= (_ @t85 @t84) @t84))) % 0.40/0.90 (assume @p36 (forall @t88 (= (_ @t80 @t87) @t87))) % 0.40/0.90 (assume @p37 (forall @t91 (= (_ @t85 @t90) @t90))) % 0.40/0.90 (assume @p38 (forall @t88 (= (_ @t92 @t29) @t87))) % 0.40/0.90 (assume @p39 (forall @t91 (= (_ @t93 @t89) @t90))) % 0.40/0.90 (assume @p40 (forall @t98 (=> @t97 @t95))) % 0.40/0.90 (assume @p41 (forall @t103 (=> @t102 @t100))) % 0.40/0.90 (assume @p42 (forall @t105 (=> @t104 @t95))) % 0.40/0.90 (assume @p43 (forall @t108 (=> @t107 @t100))) % 0.40/0.90 (assume @p44 (forall @t111 (=> (_ @t32 @t110) (not (=> @t38 (not @t104)))))) % 0.40/0.90 (assume @p45 (forall @t115 (=> (_ @t106 @t114) (not (=> @t112 (not @t107)))))) % 0.40/0.90 (assume @p46 (forall @t120 (= (_ (_ tptp.ord_less_real @t72) @t69) (or @t119 @t117)))) % 0.40/0.90 (assume @p47 (forall @t125 (= (_ (_ tptp.ord_less_nat @t79) @t77) (or @t124 @t122)))) % 0.40/0.90 (assume @p48 (forall @t127 (= (_ @t109 (_ @t80 @t94)) @t126))) % 0.40/0.90 (assume @p49 (forall @t129 (= (_ @t113 (_ @t85 @t99)) @t128))) % 0.40/0.90 (assume @p50 @t134) % 0.40/0.90 (assume @p51 (= tptp.ord_min_nat (lambda @t137 (_ (_ tptp.ord_min_nat @t136) @t135)))) % 0.40/0.90 (assume @p52 (forall @t111 (= (_ @t92 @t94) @t126))) % 0.40/0.90 (assume @p53 (forall @t115 (= (_ @t93 @t99) @t128))) % 0.40/0.90 (assume @p54 (forall @t25 (= (_ (_ tptp.poly_cutoff_real @t21) tptp.zero_zero_poly_real) tptp.zero_zero_poly_real))) % 0.40/0.90 (assume @p55 (forall @t25 (= (_ (_ tptp.poly_cutoff_nat @t21) tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat))) % 0.40/0.90 (assume @p56 (forall @t25 (= (_ (_ tptp.poly_c1404107022y_real @t21) tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real))) % 0.40/0.90 (assume @p57 (forall (@list @t27 @t140) (=> @t143 (not (forall (@list @t141) (=> (_ (_ tptp.ord_less_real @t141) @t140) (not (forall @t142 (=> (and (_ (_ tptp.ord_less_eq_real @t141) @t138) (_ (_ tptp.ord_less_real @t138) @t140)) @t139))))))))) % 0.40/0.90 (assume @p58 (forall (@list @t27 @t145) (=> @t143 (not (forall @t147 (=> (_ @t146 @t144) (not (forall @t142 (=> (and (_ @t146 @t138) (_ (_ tptp.ord_less_eq_real @t138) @t144)) @t139))))))))) % 0.40/0.90 (assume @p59 (forall @t48 (= (= (_ (_ tptp.poly_real2 (_ tptp.reflect_poly_real @t27)) tptp.zero_zero_real) tptp.zero_zero_real) @t45))) % 0.40/0.90 (assume @p60 (forall @t53 (= (= (_ (_ tptp.poly_poly_real2 (_ tptp.reflec1522834046y_real @t49)) tptp.zero_zero_poly_real) tptp.zero_zero_poly_real) @t50))) % 0.40/0.90 (assume @p61 (forall (@list @t148) (= (= (_ (_ tptp.poly_nat2 (_ tptp.reflect_poly_nat @t148)) tptp.zero_zero_nat) tptp.zero_zero_nat) (= @t148 tptp.zero_zero_poly_nat)))) % 0.40/0.90 (assume @p62 (forall (@list @t149) (= (= (_ (_ tptp.poly_poly_nat2 (_ tptp.reflec781175074ly_nat @t149)) tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat) (= @t149 tptp.zero_z1059985641ly_nat)))) % 0.40/0.90 (assume @p63 (forall @t44 (= (= (_ (_ tptp.poly_poly_poly_real2 (_ tptp.reflec144234502y_real @t40)) tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real) @t41))) % 0.40/0.90 (assume @p64 (forall @t6 (=> (_ @t152 tptp.lb2) @t151))) % 0.40/0.90 (assume @p65 (forall @t25 (= (_ (_ tptp.poly_shift_real @t21) tptp.zero_zero_poly_real) tptp.zero_zero_poly_real))) % 0.40/0.90 (assume @p66 (forall @t25 (= (_ (_ tptp.poly_shift_nat @t21) tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat))) % 0.40/0.90 (assume @p67 (forall @t25 (= (_ (_ tptp.poly_shift_poly_real @t21) tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real))) % 0.40/0.90 (assume @p68 (forall @t155 (= @t154 (or @t45 (not @t153))))) % 0.40/0.90 (assume @p69 (forall @t159 (= @t158 (or @t50 (not @t157))))) % 0.40/0.90 (assume @p70 (forall @t163 (= @t162 (or @t41 (not @t161))))) % 0.40/0.90 (assume @p71 (forall (@list @t166 @t165 @t164 @t21) (= (_ (_ (_ (_ (_ (_ tptp.divide1561404011n_real tptp.zero_zero_real) tptp.zero_zero_poly_real) @t166) @t165) @t164) @t21) tptp.zero_zero_poly_real))) % 0.40/0.90 (assume @p72 (forall (@list @t168 @t167 @t164 @t21) (= (_ (_ (_ (_ (_ (_ tptp.divide1142363123y_real tptp.zero_zero_poly_real) tptp.zero_z1423781445y_real) @t168) @t167) @t164) @t21) tptp.zero_z1423781445y_real))) % 0.40/0.90 (assume @p73 (forall (@list @t170 @t169 @t164 @t21) (= (_ (_ (_ (_ (_ (_ tptp.divide924636027y_real tptp.zero_z1423781445y_real) tptp.zero_z935034829y_real) @t170) @t169) @t164) @t21) tptp.zero_z935034829y_real))) % 0.40/0.90 (assume @p74 (forall @t178 (= (forall @t175 (=> @t174 @t177)) (or (forall @t175 (=> @t174 @t176)) (forall @t175 (=> @t174 @t173)))))) % 0.40/0.90 (assume @p75 (not (forall (@list @t179) (not (forall @t6 (=> (_ @t152 @t179) @t151)))))) % 0.40/0.90 (assume @p76 (forall @t25 (= (_ @t180 tptp.zero_zero_nat) @t22))) % 0.40/0.90 (assume @p77 (forall @t111 (= @t184 (and @t183 @t182)))) % 0.40/0.90 (assume @p78 (forall @t115 (= @t188 (and @t187 @t186)))) % 0.40/0.90 (assume @p79 (= (_ tptp.reflect_poly_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real)) % 0.40/0.90 (assume @p80 (= (_ tptp.reflect_poly_nat tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat)) % 0.40/0.90 (assume @p81 (= (_ tptp.reflec1522834046y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real)) % 0.40/0.90 (assume @p82 (forall (@list @t31 @t189) (= (_ (_ tptp.member_real @t31) (_ tptp.collect_real @t189)) (_ @t189 @t31)))) % 0.40/0.90 (assume @p83 (forall (@list @t190) (= (_ tptp.collect_real (lambda @t47 (_ (_ tptp.member_real @t46) @t190))) @t190))) % 0.40/0.90 (assume @p84 (forall (@list @t145) (=> (forall @t33 (=> @t193 (_ @t146 @t26))) (=> (forall @t33 (=> (_ @t192 @t145) (= (_ tptp.sgn_sgn_real @t191) @t150))) tptp.thesis)))) % 0.40/0.90 (assume @p85 (forall (@list @t195) (=> (exists @t6 @t197) (=> (exists @t142 @t196) (exists @t198 (and (forall @t6 (=> @t197 (_ @t152 @t194))) (forall @t142 (=> @t196 (_ (_ tptp.ord_less_eq_real @t194) @t138))))))))) % 0.40/0.90 (assume @p86 (forall @t18 (_ @t199 @t17))) % 0.40/0.90 (assume @p87 (_ (_ tptp.ord_le1180086932y_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real)) % 0.40/0.90 (assume @p88 (_ (_ tptp.ord_le893774876y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real)) % 0.40/0.90 (assume @p89 (_ @t200 tptp.zero_zero_real)) % 0.40/0.90 (assume @p90 (_ @t199 tptp.zero_zero_nat)) % 0.40/0.90 (assume @p91 (forall (@list @t31 @t94 @t29 @t201) (=> @t182 (=> (_ @t203 @t201) (_ @t202 (_ (_ tptp.ord_min_real @t94) @t201)))))) % 0.40/0.90 (assume @p92 (forall (@list @t84 @t99 @t89 @t204) (=> @t186 (=> (_ @t206 @t204) (_ @t205 (_ (_ tptp.ord_min_nat @t99) @t204)))))) % 0.40/0.90 (assume @p93 (forall @t88 (=> @t183 @t207))) % 0.40/0.90 (assume @p94 (forall @t91 (=> @t187 @t208))) % 0.40/0.90 (assume @p95 (forall @t88 (=> @t207 @t183))) % 0.40/0.90 (assume @p96 (forall @t91 (=> @t208 @t187))) % 0.40/0.90 (assume @p97 (forall @t88 (=> @t183 (= @t87 @t31)))) % 0.40/0.90 (assume @p98 (forall @t91 (=> @t187 (= @t90 @t84)))) % 0.40/0.90 (assume @p99 (forall @t210 (=> @t209 (= @t87 @t29)))) % 0.40/0.90 (assume @p100 (forall @t212 (=> @t211 (= @t90 @t89)))) % 0.40/0.90 (assume @p101 (forall @t111 (=> @t184 (not (=> @t183 (not @t182)))))) % 0.40/0.90 (assume @p102 (forall @t115 (=> @t188 (not (=> @t187 (not @t186)))))) % 0.40/0.90 (assume @p103 (forall @t111 (=> @t183 (=> @t182 @t184)))) % 0.40/0.90 (assume @p104 (forall @t115 (=> @t187 (=> @t186 @t188)))) % 0.40/0.90 (assume @p105 (= tptp.ord_less_eq_real (lambda @t132 @t215))) % 0.40/0.90 (assume @p106 (forall @t88 (_ @t202 @t31))) % 0.40/0.90 (assume @p107 (forall @t91 (_ @t205 @t84))) % 0.40/0.90 (assume @p108 (forall @t88 (_ @t202 @t29))) % 0.40/0.90 (assume @p109 (forall @t91 (_ @t205 @t89))) % 0.40/0.90 (assume @p110 (= tptp.ord_less_eq_real (lambda @t132 (= @t214 @t130)))) % 0.40/0.90 (assume @p111 (= tptp.ord_less_eq_nat (lambda @t137 (= @t216 @t135)))) % 0.40/0.90 (assume @p112 (= tptp.ord_less_eq_real (lambda (@list @t131 @t130) (= @t214 @t131)))) % 0.40/0.90 (assume @p113 (= tptp.ord_less_eq_nat (lambda (@list @t136 @t135) (= @t216 @t136)))) % 0.40/0.90 (assume @p114 (forall @t105 (=> @t182 @t217))) % 0.40/0.90 (assume @p115 (forall @t108 (=> @t186 @t218))) % 0.40/0.90 (assume @p116 (forall @t98 (=> @t219 @t217))) % 0.40/0.90 (assume @p117 (forall @t103 (=> @t220 @t218))) % 0.40/0.90 (assume @p118 (forall @t120 (= (_ (_ tptp.ord_less_eq_real @t72) @t69) (or @t224 @t222)))) % 0.40/0.90 (assume @p119 (forall @t125 (= (_ (_ tptp.ord_less_eq_nat @t79) @t77) (or @t228 @t226)))) % 0.40/0.90 (assume @p120 (forall @t155 (=> (not @t154) @t153))) % 0.40/0.90 (assume @p121 (forall @t159 (=> (not @t158) @t157))) % 0.40/0.90 (assume @p122 (forall @t163 (=> (not @t162) @t161))) % 0.40/0.90 (assume @p123 (forall @t178 (= (forall @t175 (=> @t229 @t177)) (or (forall @t175 (=> @t229 @t176)) (forall @t175 (=> @t229 @t173)))))) % 0.40/0.90 (assume @p124 (forall @t20 (= (_ @t200 @t230) (_ @t200 @t19)))) % 0.40/0.90 (assume @p125 (forall @t20 (= (_ (_ tptp.ord_less_eq_real @t230) tptp.zero_zero_real) (_ @t223 tptp.zero_zero_real)))) % 0.40/0.90 (assume @p126 (forall @t232 (= (_ @t54 @t231) (_ @t54 @t156)))) % 0.40/0.90 (assume @p127 (forall @t234 (= (_ @t55 @t233) (_ @t55 @t160)))) % 0.40/0.90 (assume @p128 (forall @t82 (= (_ @t37 @t235) (_ @t37 @t31)))) % 0.40/0.90 (assume @p129 (forall @t232 (= (_ (_ tptp.ord_less_poly_real @t231) tptp.zero_zero_poly_real) (_ (_ tptp.ord_less_poly_real @t156) tptp.zero_zero_poly_real)))) % 0.40/0.90 (assume @p130 (forall @t234 (= (_ (_ tptp.ord_le38482960y_real @t233) tptp.zero_z1423781445y_real) (_ (_ tptp.ord_le38482960y_real @t160) tptp.zero_z1423781445y_real)))) % 0.40/0.90 (assume @p131 (forall @t82 (= (_ (_ tptp.ord_less_real @t235) tptp.zero_zero_real) (_ @t32 tptp.zero_zero_real)))) % 0.40/0.90 (assume @p132 (forall @t48 (=> @t143 (not (forall @t147 (=> (forall @t6 (=> (= @t236 tptp.zero_zero_real) (_ (_ tptp.ord_less_real @t1) @t144))) (not (forall @t6 (=> (_ (_ tptp.ord_less_eq_real @t144) @t1) (= (_ tptp.sgn_sgn_real @t236) (_ tptp.sturm_1308388506f_real @t27))))))))))) % 0.40/0.90 (assume @p133 (= (_ tptp.sgn_sgn_real tptp.zero_zero_real) tptp.zero_zero_real)) % 0.40/0.90 (assume @p134 (= (_ tptp.sgn_sgn_poly_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real)) % 0.40/0.90 (assume @p135 (= (_ tptp.sgn_sg2128174761y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real)) % 0.40/0.90 (assume @p136 (forall @t82 (= (_ tptp.sgn_sgn_real @t235) @t235))) % 0.40/0.90 (assume @p137 (forall @t242 (=> @t241 (=> @t239 @t237)))) % 0.40/0.90 (assume @p138 (forall @t82 (= (= @t235 tptp.zero_zero_real) (= @t31 tptp.zero_zero_real)))) % 0.40/0.90 (assume @p139 (forall @t232 (= (= @t231 tptp.zero_zero_poly_real) (= @t156 tptp.zero_zero_poly_real)))) % 0.40/0.90 (assume @p140 (forall @t234 (= (= @t233 tptp.zero_z1423781445y_real) (= @t160 tptp.zero_z1423781445y_real)))) % 0.40/0.90 (assume @p141 (forall @t20 (= (= @t230 tptp.zero_zero_real) @t65))) % 0.40/0.90 (assume @p142 (forall @t25 (_ @t199 @t21))) % 0.40/0.90 (assume @p143 (forall @t86 (_ @t199 @t84))) % 0.40/0.90 (assume @p144 (forall @t25 (= @t60 @t24))) % 0.40/0.90 (assume @p145 (forall @t86 (= (not @t243) (_ @t23 @t84)))) % 0.40/0.90 (assume @p146 (forall @t25 (= (_ (_ tptp.ord_min_nat @t21) tptp.zero_zero_nat) tptp.zero_zero_nat))) % 0.40/0.90 (assume @p147 (forall @t25 (= (_ (_ tptp.ord_min_nat tptp.zero_zero_nat) @t21) tptp.zero_zero_nat))) % 0.40/0.90 (assume @p148 (forall @t25 (_ @t180 @t21))) % 0.40/0.90 (assume @p149 (forall (@list @t245 @t247 @t244) (=> @t248 (=> (_ (_ tptp.ord_less_eq_nat @t247) @t244) (_ @t246 @t244))))) % 0.40/0.90 (assume @p150 (forall @t64 (=> @t250 @t249))) % 0.40/0.90 (assume @p151 (forall @t64 (=> @t249 (=> @t251 @t250)))) % 0.40/0.90 (assume @p152 (forall @t64 (or @t249 @t251))) % 0.40/0.90 (assume @p153 (forall (@list @t254 @t244 @t89) (=> (_ @t254 @t244) (=> (forall (@list @t259) (=> (_ @t254 @t259) (_ (_ tptp.ord_less_eq_nat @t259) @t89))) (exists @t258 (and @t257 (forall @t256 (=> @t255 (_ (_ tptp.ord_less_eq_nat @t253) @t252))))))))) % 0.40/0.90 (assume @p154 (forall (@list @t260 @t245 @t247) (=> (forall (@list @t262 @t261) (=> (_ (_ tptp.ord_less_nat @t262) @t261) (_ (_ tptp.ord_less_nat (_ @t260 @t262)) (_ @t260 @t261)))) (=> @t248 (_ (_ tptp.ord_less_eq_nat (_ @t260 @t245)) (_ @t260 @t247)))))) % 0.40/0.90 (assume @p155 (forall @t64 (=> @t249 (=> @t263 @t63)))) % 0.40/0.90 (assume @p156 (forall @t64 (=> (or @t63 @t250) @t249))) % 0.40/0.90 (assume @p157 (= tptp.ord_less_eq_nat (lambda @t268 (or @t267 @t266)))) % 0.40/0.90 (assume @p158 (forall @t64 (=> @t63 @t249))) % 0.40/0.90 (assume @p159 (= tptp.ord_less_nat (lambda @t268 (and (_ (_ tptp.ord_less_eq_nat @t265) @t264) (not @t266))))) % 0.40/0.90 (assume @p160 (forall @t274 (=> @t273 (=> @t271 @t269)))) % 0.40/0.90 (assume @p161 (forall @t284 (=> (forall @t283 @t282) @t275))) % 0.40/0.90 (assume @p162 (forall @t284 (=> (forall @t283 (=> (forall @t280 (=> @t279 @t277)) @t281)) @t275))) % 0.40/0.90 (assume @p163 (forall @t25 (not (_ @t61 @t21)))) % 0.40/0.90 (assume @p164 (forall (@list @t286 @t285) (=> (_ (_ tptp.ord_less_nat @t286) @t285) (not (= @t286 @t285))))) % 0.40/0.90 (assume @p165 (forall (@list @t21 @t62) (=> @t287 @t263))) % 0.40/0.90 (assume @p166 (forall @t64 (= @t263 (or @t63 @t287)))) % 0.40/0.90 (assume @p167 (forall @t86 (not (_ @t106 tptp.zero_zero_nat)))) % 0.40/0.90 (assume @p168 (forall @t284 (=> @t288 (=> (forall @t283 (=> (_ @t23 @t278) @t282)) @t275)))) % 0.40/0.90 (assume @p169 (forall @t284 (=> @t275 (=> (not @t288) (exists @t295 (and @t294 (forall @t293 (=> (_ (_ tptp.ord_less_nat @t291) @t289) (not @t292))) @t290)))))) % 0.40/0.90 (assume @p170 (forall @t86 (= @t296 @t243))) % 0.40/0.90 (assume @p171 (forall @t86 (=> @t296 @t243))) % 0.40/0.90 (assume @p172 (forall @t20 (_ @t223 @t19))) % 0.40/0.90 (assume @p173 (forall @t18 (_ @t227 @t17))) % 0.40/0.90 (assume @p174 (forall @t242 (=> @t297 (= @t72 @t19)))) % 0.40/0.90 (assume @p175 (forall @t274 (=> @t298 (= @t79 @t17)))) % 0.40/0.90 (assume @p176 (forall @t300 (=> @t299 (= @t72 @t68)))) % 0.40/0.90 (assume @p177 (forall @t302 (=> @t301 (= @t79 @t76)))) % 0.40/0.90 (assume @p178 @t305) % 0.40/0.90 (assume @p179 (= tptp.ord_min_nat (lambda @t137 (_ (_ (_ tptp.if_nat @t306) @t135) @t136)))) % 0.40/0.90 (assume @p180 (forall (@list @t21 @t254 @t62) (=> (forall @t295 (=> (_ @t61 @t289) @t290)) (=> (forall @t295 (=> @t294 (=> (forall @t293 (=> (_ (_ tptp.ord_less_nat @t289) @t291) @t292)) @t290))) (_ @t254 @t62))))) % 0.40/0.90 (assume @p181 (forall @t210 (=> @t209 (=> @t183 @t307)))) % 0.40/0.90 (assume @p182 (forall @t212 (=> @t211 (=> @t187 @t308)))) % 0.40/0.90 (assume @p183 (= @t312 (lambda @t132 (and @t309 @t303)))) % 0.40/0.90 (assume @p184 (= @t316 (lambda @t137 (and @t313 @t306)))) % 0.40/0.90 (assume @p185 (forall @t127 (=> @t209 (=> (_ @t317 @t29) (_ @t317 @t31))))) % 0.40/0.90 (assume @p186 (forall @t129 (=> @t211 (=> (_ @t318 @t89) (_ @t318 @t84))))) % 0.40/0.90 (assume @p187 (forall @t326 (=> (forall @t324 (=> (_ (_ tptp.ord_less_eq_real @t321) @t320) @t323)) @t325))) % 0.40/0.90 (assume @p188 (forall @t334 (=> (forall @t332 (=> (_ (_ tptp.ord_less_eq_nat @t329) @t328) @t331)) @t333))) % 0.40/0.90 (assume @p189 (forall @t82 (_ @t181 @t31))) % 0.40/0.90 (assume @p190 (forall @t86 (_ @t185 @t84))) % 0.40/0.90 (assume @p191 (forall @t120 (=> @t297 (=> @t222 @t224)))) % 0.40/0.90 (assume @p192 (forall @t125 (=> @t298 (=> @t226 @t228)))) % 0.40/0.90 (assume @p193 (forall @t88 (=> @t183 (=> @t209 @t307)))) % 0.40/0.90 (assume @p194 (forall @t91 (=> @t187 (=> @t211 @t308)))) % 0.40/0.90 (assume @p195 (forall @t111 (=> @t183 (=> @t335 @t182)))) % 0.40/0.90 (assume @p196 (forall @t115 (=> @t187 (=> @t336 @t186)))) % 0.40/0.90 (assume @p197 (forall @t111 (=> @t307 @t337))) % 0.40/0.90 (assume @p198 (forall @t115 (=> @t308 @t338))) % 0.40/0.90 (assume @p199 (= @t312 (lambda @t132 (and @t303 @t309)))) % 0.40/0.90 (assume @p200 (= @t316 (lambda @t137 (and @t306 @t313)))) % 0.40/0.90 (assume @p201 (forall @t300 (=> @t299 (= @t297 @t240)))) % 0.40/0.90 (assume @p202 (forall @t302 (=> @t301 (= @t298 @t272)))) % 0.40/0.90 (assume @p203 (forall @t120 (=> (=> @t297 (not @t222)) (=> (=> @t299 (not @t224)) (=> (=> @t224 (not @t342)) (=> (=> @t342 (not @t299)) (=> (=> @t222 (not @t341)) (not (=> @t341 @t339))))))))) % 0.40/0.90 (assume @p204 (forall @t125 (=> (=> @t298 (not @t226)) (=> (=> @t301 (not @t228)) (=> (=> @t228 (not @t346)) (=> (=> @t346 (not @t301)) (=> (=> @t226 (not @t345)) (not (=> @t345 @t343))))))))) % 0.40/0.90 (assume @p205 (forall @t111 (=> @t183 @t337))) % 0.40/0.90 (assume @p206 (forall @t115 (=> @t187 @t338))) % 0.40/0.90 (assume @p207 (forall @t242 (=> @t339 @t299))) % 0.40/0.90 (assume @p208 (forall @t274 (=> @t343 @t301))) % 0.40/0.90 (assume @p209 (forall @t242 (=> @t240 @t297))) % 0.40/0.90 (assume @p210 (forall @t274 (=> @t272 @t298))) % 0.40/0.90 (assume @p211 (forall @t242 (or @t297 @t299))) % 0.40/0.90 (assume @p212 (forall @t274 (or @t298 @t301))) % 0.40/0.90 (assume @p213 (forall @t242 (=> @t297 (=> @t299 @t240)))) % 0.40/0.90 (assume @p214 (forall @t274 (=> @t298 (=> @t301 @t272)))) % 0.40/0.90 (assume @p215 (= @t312 (lambda @t349 (and @t348 (_ (_ tptp.ord_less_eq_real @t347) @t46))))) % 0.40/0.90 (assume @p216 (= @t316 (lambda @t353 (and @t352 (_ (_ tptp.ord_less_eq_nat @t351) @t350))))) % 0.40/0.90 (assume @p217 (forall @t364 (=> @t183 (=> @t363 @t361)))) % 0.40/0.90 (assume @p218 (forall @t373 (=> @t183 (=> @t372 @t370)))) % 0.40/0.90 (assume @p219 (forall @t384 (=> @t187 (=> @t383 @t381)))) % 0.40/0.90 (assume @p220 (forall @t392 (=> @t187 (=> @t391 @t389)))) % 0.40/0.90 (assume @p221 (forall @t396 (=> @t395 @t394))) % 0.40/0.90 (assume @p222 (forall @t400 (=> @t399 @t398))) % 0.40/0.90 (assume @p223 (forall @t404 (=> @t403 @t402))) % 0.40/0.90 (assume @p224 (forall @t408 (=> @t407 @t406))) % 0.40/0.90 (assume @p225 (forall @t364 (=> @t183 (=> (_ (_ tptp.ord_less_eq_real @t362) @t94) @t361)))) % 0.40/0.90 (assume @p226 (forall @t373 (=> @t183 (=> (_ (_ tptp.ord_less_eq_nat @t371) @t99) @t370)))) % 0.40/0.90 (assume @p227 (forall @t384 (=> @t187 (=> (_ (_ tptp.ord_less_eq_real @t382) @t94) @t381)))) % 0.40/0.90 (assume @p228 (forall @t392 (=> @t187 (=> (_ (_ tptp.ord_less_eq_nat @t390) @t99) @t389)))) % 0.40/0.90 (assume @p229 (forall @t396 (=> @t409 @t394))) % 0.40/0.90 (assume @p230 (forall @t404 (=> @t410 @t402))) % 0.40/0.90 (assume @p231 (forall @t400 (=> @t411 @t398))) % 0.40/0.90 (assume @p232 (forall @t408 (=> @t412 @t406))) % 0.40/0.90 (assume @p233 (forall @t396 (=> @t395 @t415))) % 0.40/0.90 (assume @p234 (forall @t400 (=> @t399 @t418))) % 0.40/0.90 (assume @p235 (forall @t404 (=> @t403 @t422))) % 0.40/0.90 (assume @p236 (forall @t408 (=> @t407 @t425))) % 0.40/0.90 (assume @p237 (forall @t364 (=> @t38 (=> @t363 @t427)))) % 0.40/0.90 (assume @p238 (forall @t373 (=> @t38 (=> @t372 @t429)))) % 0.40/0.90 (assume @p239 (forall @t384 (=> @t112 (=> @t383 @t431)))) % 0.40/0.90 (assume @p240 (forall @t392 (=> @t112 (=> @t391 @t433)))) % 0.40/0.90 (assume @p241 (forall @t396 (=> (_ @t32 @t362) @t415))) % 0.40/0.90 (assume @p242 (forall @t404 (=> @t434 @t422))) % 0.40/0.90 (assume @p243 (forall @t400 (=> @t435 @t418))) % 0.40/0.90 (assume @p244 (forall @t408 (=> @t436 @t425))) % 0.40/0.90 (assume @p245 (forall @t364 (=> @t38 (=> @t437 @t427)))) % 0.40/0.90 (assume @p246 (forall @t373 (=> @t38 (=> @t438 @t429)))) % 0.40/0.90 (assume @p247 (forall @t384 (=> @t112 (=> @t439 @t431)))) % 0.40/0.90 (assume @p248 (forall @t392 (=> @t112 (=> @t440 @t433)))) % 0.40/0.90 (assume @p249 (forall @t20 (exists @t198 (_ (_ tptp.ord_less_real @t194) @t19)))) % 0.40/0.90 (assume @p250 (forall @t20 (exists (@list @t441) (_ @t118 @t441)))) % 0.40/0.90 (assume @p251 (forall @t18 (exists (@list @t442) (_ @t123 @t442)))) % 0.40/0.90 (assume @p252 (forall @t242 (= @t241 (or @t238 @t237)))) % 0.40/0.90 (assume @p253 (forall @t274 (= @t273 (or @t270 @t269)))) % 0.40/0.90 (assume @p254 (forall @t88 (=> @t38 (not @t443)))) % 0.40/0.90 (assume @p255 (forall @t91 (=> @t112 (not @t444)))) % 0.40/0.90 (assume @p256 (forall @t242 (=> @t238 (exists (@list @t445) (and (_ @t118 @t445) (_ (_ tptp.ord_less_real @t445) @t68)))))) % 0.40/0.90 (assume @p257 (forall @t242 (=> @t238 @t241))) % 0.40/0.90 (assume @p258 (forall @t274 (=> @t270 @t273))) % 0.40/0.90 (assume @p259 (forall @t242 (=> @t238 @t446))) % 0.40/0.90 (assume @p260 (forall @t274 (=> @t270 @t447))) % 0.40/0.90 (assume @p261 (forall @t120 (=> @t238 (=> @t117 @t119)))) % 0.40/0.90 (assume @p262 (forall @t125 (=> @t270 (=> @t122 @t124)))) % 0.40/0.90 (assume @p263 (forall @t242 (or @t238 @t240 @t237))) % 0.40/0.90 (assume @p264 (forall @t274 (or @t270 @t272 @t269))) % 0.40/0.90 (assume @p265 (forall @t20 (not (_ @t118 @t19)))) % 0.40/0.90 (assume @p266 (forall @t18 (not (_ @t123 @t17)))) % 0.40/0.90 (assume @p267 (forall @t111 (=> @t307 @t448))) % 0.40/0.90 (assume @p268 (forall @t115 (=> @t308 @t449))) % 0.40/0.90 (assume @p269 (forall @t111 (=> @t38 (=> @t335 @t104)))) % 0.40/0.90 (assume @p270 (forall @t115 (=> @t112 (=> @t336 @t107)))) % 0.40/0.90 (assume @p271 (forall @t210 (=> @t443 (not @t38)))) % 0.40/0.90 (assume @p272 (forall @t212 (=> @t444 (not @t112)))) % 0.40/0.90 (assume @p273 (forall (@list @t254 @t84) (=> (forall @t258 (=> (forall @t256 (=> (_ (_ tptp.ord_less_nat @t253) @t252) @t255)) @t257)) (_ @t254 @t84)))) % 0.40/0.90 (assume @p274 (forall @t300 (=> @t446 (= @t239 @t240)))) % 0.40/0.90 (assume @p275 (forall @t302 (=> @t447 (= @t271 @t272)))) % 0.40/0.90 (assume @p276 (forall @t242 (=> @t238 (not (= @t68 @t19))))) % 0.40/0.90 (assume @p277 (forall @t274 (=> @t270 (not (= @t76 @t17))))) % 0.40/0.90 (assume @p278 (forall (@list @t19 @t68 @t450) (=> @t238 (=> @t237 @t450)))) % 0.40/0.90 (assume @p279 (forall (@list @t17 @t76 @t450) (=> @t270 (=> @t269 @t450)))) % 0.40/0.90 (assume @p280 (forall @t242 (=> @t239 (=> @t241 @t237)))) % 0.40/0.90 (assume @p281 (forall @t274 (=> @t271 (=> @t273 @t269)))) % 0.40/0.90 (assume @p282 (forall @t82 (not (_ @t32 @t31)))) % 0.40/0.90 (assume @p283 (forall @t86 (not (_ @t106 @t84)))) % 0.40/0.90 (assume @p284 (forall @t111 (=> @t38 @t448))) % 0.40/0.90 (assume @p285 (forall @t115 (=> @t112 @t449))) % 0.40/0.90 (assume @p286 (= (lambda (@list @t453) (exists (@list @t452) (_ @t453 @t452))) (lambda (@list @t451) (exists (@list @t264) (and (_ @t451 @t264) (forall (@list @t265) (=> @t267 (not (_ @t451 @t265))))))))) % 0.40/0.90 (assume @p287 (forall @t326 (=> (forall @t324 (=> (_ (_ tptp.ord_less_real @t321) @t320) @t323)) (=> (forall (@list @t321) (_ @t322 @t321)) @t325)))) % 0.40/0.90 (assume @p288 (forall @t334 (=> (forall @t332 (=> (_ (_ tptp.ord_less_nat @t329) @t328) @t331)) (=> (forall (@list @t329) (_ @t330 @t329)) @t333)))) % 0.40/0.90 (assume @p289 (forall @t127 (=> @t443 (=> (_ @t454 @t29) (_ @t454 @t31))))) % 0.40/0.90 (assume @p290 (forall @t129 (=> @t444 (=> (_ @t455 @t89) (_ @t455 @t84))))) % 0.40/0.90 (assume @p291 (forall @t242 (= @t239 (or @t237 @t240)))) % 0.40/0.90 (assume @p292 (forall @t274 (= @t271 (or @t269 @t272)))) % 0.40/0.90 (assume @p293 (forall @t88 (=> @t38 @t456))) % 0.40/0.90 (assume @p294 (forall @t91 (=> @t112 @t457))) % 0.40/0.90 (assume @p295 (forall @t210 (=> @t443 @t456))) % 0.40/0.90 (assume @p296 (forall @t212 (=> @t444 @t457))) % 0.40/0.90 (assume @p297 (forall @t300 (=> @t299 @t239))) % 0.40/0.90 (assume @p298 (forall @t302 (=> @t301 @t271))) % 0.40/0.90 (assume @p299 (forall @t242 (=> @t239 @t299))) % 0.40/0.90 (assume @p300 (forall @t274 (=> @t271 @t301))) % 0.40/0.90 (assume @p301 (= tptp.ord_less_eq_nat (lambda @t353 (or (_ (_ tptp.ord_less_nat @t350) @t351) @t458)))) % 0.40/0.90 (assume @p302 (= tptp.ord_less_real (lambda @t349 (and @t348 @t460)))) % 0.40/0.90 (assume @p303 (= tptp.ord_less_nat (lambda @t353 (and @t352 (not @t458))))) % 0.40/0.90 (assume @p304 (forall @t396 (=> @t409 @t415))) % 0.40/0.90 (assume @p305 (forall @t404 (=> @t410 @t422))) % 0.40/0.90 (assume @p306 (forall @t400 (=> @t411 @t418))) % 0.40/0.90 (assume @p307 (forall @t408 (=> @t412 @t425))) % 0.40/0.90 (assume @p308 (forall @t364 (=> @t183 (=> @t437 (=> @t360 @t426))))) % 0.40/0.90 (assume @p309 (forall @t373 (=> @t183 (=> @t438 (=> @t369 @t428))))) % 0.40/0.90 (assume @p310 (forall @t384 (=> @t187 (=> @t439 (=> @t380 @t430))))) % 0.40/0.90 (assume @p311 (forall @t392 (=> @t187 (=> @t440 (=> @t388 @t432))))) % 0.40/0.90 (assume @p312 (forall @t400 (=> @t435 (=> @t219 (=> @t369 @t416))))) % 0.40/0.90 (assume @p313 (forall @t404 (=> @t434 (=> @t220 (=> @t380 @t419))))) % 0.40/0.90 (assume @p314 (forall @t408 (=> @t436 (=> @t220 (=> @t388 @t423))))) % 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cong :premises (@p762 @p761) :args (@t654)) % 0.40/0.90 ; WARNING: add trust step for TRUST % 0.40/0.90 ; trust TRUST THEORY_LEMMA % 0.40/0.90 (step @p764 :rule trust :premises () :args (@t654)) % 0.40/0.90 (step @p765 :rule eq_resolve :premises (@p764 @p763)) % 0.40/0.90 (step @p766 :rule implies_elim :premises (@p765)) % 0.40/0.90 (step @p767 :rule chain_m_resolution :premises (@p766 @p744) :args (@t655 @t522 (@list @t653))) % 0.40/0.90 (step @p768 :rule cnf_and_pos :args (@t656 0)) % 0.40/0.90 (step @p769 :rule reordering :premises (@p768) :args ((or @t562 @t657))) % 0.40/0.90 (step @p770 :rule chain_m_resolution :premises (@p769 @p697) :args (@t657 @t658 (@list @t562))) % 0.40/0.90 (step @p771 :rule refl :args (@t659)) % 0.40/0.90 (step @p772 :rule refl :args (@t81)) % 0.40/0.90 (step @p773 :rule cong :premises (@p772 @p771) :args ((= @t81 @t659))) % 0.40/0.90 (step @p774 :rule symm :premises (@p773)) % 0.40/0.90 (step @p775 :rule eq_resolve :premises (@p772 @p774)) % 0.40/0.90 (step @p776 :rule refl :args (@t31)) % 0.40/0.90 (step @p777 :rule cong :premises (@p776 @p775) :args (@t660)) % 0.40/0.90 (step @p778 :rule cong :premises (@p777) :args ((forall @t82 @t660))) % 0.40/0.90 (step @p779 :rule eq-symm :args (@t81 @t31)) % 0.40/0.90 (step @p780 :rule cong :premises (@p779) :args (@t83)) % 0.40/0.90 (step @p781 :rule trans :premises (@p780 @p778)) % 0.40/0.90 (step @p782 :rule eq_resolve :premises (@p34 @p781)) % 0.40/0.90 (step @p783 :rule instantiate :premises (@p782) :args ((@list tptp.lb1))) % 0.40/0.90 (assume-push @p1012 @t643) % 0.40/0.90 (assume-push @p1013 @t662) % 0.40/0.90 (assume-push @p1014 @t643) % 0.40/0.90 (assume-push @p1015 @t662) % 0.40/0.90 (step @p788 :rule cong :premises (@p417 @p1012) :args (@t661)) % 0.40/0.90 (step @p789 :rule trans :premises (@p783 @p788)) % 0.40/0.90 (step-pop @p1016 :rule scope :premises (@p789)) % 0.40/0.90 (step-pop @p1017 :rule scope :premises (@p1016)) % 0.40/0.90 (step @p790 :rule process_scope :premises (@p1017) :args (@t562)) % 0.40/0.90 (step @p793 :rule and_intro :premises (@p1012 @p783)) % 0.40/0.90 (step @p794 :rule modus_ponens :premises (@p793 @p790)) % 0.40/0.90 (step-pop @p1018 :rule scope :premises (@p794)) % 0.40/0.90 (step-pop @p1019 :rule scope :premises (@p1018)) % 0.40/0.90 (step @p795 :rule process_scope :premises (@p1019) :args (@t562)) % 0.40/0.90 (step @p798 :rule implies_elim :premises (@p795)) % 0.40/0.90 (step @p799 :rule cnf_and_neg :args (@t663)) % 0.40/0.90 (step @p800 :rule resolution :premises (@p799 @p798) :args (true @t663)) % 0.40/0.90 (step @p801 :rule reordering :premises (@p800) :args ((or @t644 @t562 @t664))) % 0.40/0.90 (step @p802 :rule chain_m_resolution :premises (@p801 @p783 @p697) :args (@t644 (@list false true) (@list @t662 @t562))) % 0.40/0.90 (step @p803 :rule cnf_or_pos :args (@t665)) % 0.40/0.90 (step @p804 :rule reordering :premises (@p803) :args ((or @t643 @t656 @t666))) % 0.40/0.90 (step @p805 :rule chain_m_resolution :premises (@p804 @p802 @p770) :args (@t666 (@list true true) (@list @t643 @t656))) % 0.40/0.90 (step @p806 :rule eq-symm :args (@t665 @t648)) % 0.40/0.90 (step @p807 :rule refl :args (@t648)) % 0.40/0.90 (step @p808 :rule refl :args (@t643)) % 0.40/0.90 (step @p809 :rule refl :args (@t644)) % 0.40/0.90 (step @p810 :rule cong :premises (@p417 @p549) :args (@t645)) % 0.40/0.90 (step @p811 :rule nary_cong :premises (@p810 @p809) :args (@t646)) % 0.40/0.90 (step @p812 :rule nary_cong :premises (@p811 @p808) :args (@t647)) % 0.40/0.90 (step @p813 :rule cong :premises (@p812 @p807) :args (@t651)) % 0.40/0.90 (step @p814 :rule trans :premises (@p813 @p806)) % 0.40/0.90 (step @p815 :rule eq-symm :args (@t648 @t647)) % 0.40/0.90 (step @p816 :rule trans :premises (@p815 @p814)) % 0.40/0.90 (step @p817 :rule eq_resolve :premises (@p751 @p816)) % 0.40/0.90 (step @p818 :rule equiv_elim1 :premises (@p817)) % 0.40/0.90 (step @p819 :rule reordering :premises (@p818) :args ((or @t665 @t667))) % 0.40/0.90 (step @p820 :rule chain_m_resolution :premises (@p819 @p805) :args (@t667 @t658 (@list @t665))) % 0.40/0.90 (step @p821 :rule bool-double-not-elim :args (@t515)) % 0.40/0.90 (step @p822 :rule refl :args (@t668)) % 0.40/0.90 (step @p823 :rule bool-double-not-elim :args (@t628)) % 0.40/0.90 (step @p824 :rule bool-double-not-elim :args (@t648)) % 0.40/0.90 (step @p825 :rule refl :args (@t669)) % 0.40/0.90 (step @p826 :rule nary_cong :premises (@p825 @p824 @p823 @p822 @p821 @p513) :args ((or @t669 @t671 (not @t629) @t668 @t670 @t561))) % 0.40/0.90 (assume-push @p1020 @t655) % 0.40/0.90 (assume-push @p1021 @t667) % 0.40/0.90 (assume-push @p1022 @t629) % 0.40/0.90 (assume-push @p1023 @t521) % 0.40/0.90 (assume-push @p1024 @t516) % 0.40/0.90 (assume-push @p1025 @t629) % 0.40/0.90 (assume-push @p1026 @t521) % 0.40/0.90 (assume-push @p1027 @t516) % 0.40/0.90 (assume-push @p1028 @t667) % 0.40/0.90 (assume-push @p1029 @t655) % 0.40/0.90 (step @p837 :rule false_intro :premises (@p1022)) % 0.40/0.90 (step @p838 :rule symm :premises (@p436)) % 0.40/0.90 (step @p839 :rule false_intro :premises (@p1021)) % 0.40/0.90 (step @p840 :rule trans :premises (@p839 @p425)) % 0.40/0.90 (step @p841 :rule cong :premises (@p840 @p417 @p416) :args (@t649)) % 0.40/0.90 (step @p842 :rule trans :premises (@p767 @p841 @p838)) % 0.40/0.90 (step @p843 :rule cong :premises (@p523 @p842) :args (@t559)) % 0.40/0.90 (step @p844 :rule cong :premises (@p525 @p843) :args (@t560)) % 0.40/0.90 (step @p845 :rule trans :premises (@p844 @p837)) % 0.40/0.90 (step @p846 :rule false_elim :premises (@p845)) % 0.40/0.90 (step-pop @p1030 :rule scope :premises (@p846)) % 0.40/0.90 (step-pop @p1031 :rule scope :premises (@p1030)) % 0.40/0.90 (step-pop @p1032 :rule scope :premises (@p1031)) % 0.40/0.90 (step-pop @p1033 :rule scope :premises (@p1032)) % 0.40/0.90 (step-pop @p1034 :rule scope :premises (@p1033)) % 0.40/0.90 (step @p847 :rule process_scope :premises (@p1034) :args (@t561)) % 0.40/0.90 (step @p853 :rule and_intro :premises (@p1022 @p436 @p437 @p1021 @p767)) % 0.40/0.90 (step @p854 :rule modus_ponens :premises (@p853 @p847)) % 0.40/0.90 (step-pop @p1035 :rule scope :premises (@p854)) % 0.40/0.90 (step-pop @p1036 :rule scope :premises (@p1035)) % 0.40/0.90 (step-pop @p1037 :rule scope :premises (@p1036)) % 0.40/0.90 (step-pop @p1038 :rule scope :premises (@p1037)) % 0.40/0.90 (step-pop @p1039 :rule scope :premises (@p1038)) % 0.40/0.90 (step @p855 :rule process_scope :premises (@p1039) :args (@t561)) % 0.40/0.90 (step @p861 :rule implies_elim :premises (@p855)) % 0.40/0.90 (step @p862 :rule cnf_and_neg :args (@t672)) % 0.40/0.90 (step @p863 :rule resolution :premises (@p862 @p861) :args (true @t672)) % 0.40/0.90 (step @p864 :rule eq_resolve :premises (@p863 @p826)) % 0.40/0.90 (step @p865 :rule reordering :premises (@p864) :args ((or @t561 @t648 @t669 @t628 @t515 @t668))) % 0.40/0.90 (step @p866 :rule chain_m_resolution :premises (@p865 @p820 @p767 @p700 @p437 @p436) :args (@t561 (@list true false true true false) (@list @t648 @t655 @t628 @t515 @t521))) % 0.40/0.90 (step @p867 :rule chain_m_resolution :premises (@p652 @p866) :args (@t565 @t658 (@list @t560))) % 0.40/0.90 (step @p868 :rule chain_m_resolution :premises (@p661 @p867) :args (@t621 @t658 (@list @t511))) % 0.40/0.90 (step @p869 :rule chain_m_resolution :premises (@p662 @p868) :args (@t626 @t658 @t673)) % 0.40/0.90 (step @p870 :rule cnf_and_pos :args (@t674 2)) % 0.40/0.90 (step @p871 :rule reordering :premises (@p870) :args ((or @t619 @t675))) % 0.40/0.90 (step @p872 :rule chain_m_resolution :premises (@p871 @p869) :args (@t675 @t658 (@list @t619))) % 0.40/0.90 (step @p873 :rule cnf_equiv_pos2 :args (@t680)) % 0.40/0.90 (step @p874 :rule reordering :premises (@p873) :args ((or @t674 @t681 (not @t680)))) % 0.40/0.90 (step @p875 :rule chain_m_resolution :premises (@p874 @p872 @p403) :args (@t681 @t631 (@list @t674 @t680))) % 0.40/0.90 (step @p876 :rule chain_m_resolution :premises (@p668 @p868) :args (@t617 @t658 @t673)) % 0.40/0.90 (step @p877 :rule chain_m_resolution :premises (@p671 @p876 @p669) :args (@t623 (@list false false) (@list @t617 @t624))) % 0.40/0.90 (step @p878 :rule refl :args (@t677)) % 0.40/0.90 (step @p879 :rule bool-double-not-elim :args (@t562)) % 0.40/0.90 (step @p880 :rule nary_cong :premises (@p879 @p672 @p878) :args ((or (not @t563) @t625 @t677))) % 0.40/0.90 (assume-push @p1040 @t563) % 0.40/0.90 (assume-push @p1041 @t623) % 0.40/0.90 (assume-push @p1042 @t623) % 0.40/0.90 (assume-push @p1043 @t563) % 0.40/0.90 (step @p885 :rule bool-eq-false :args (@t676)) % 0.40/0.90 (step @p886 :rule symm :premises (@p885)) % 0.40/0.90 (step @p887 :rule eq-symm :args (@t622 @t509)) % 0.40/0.90 (step @p888 :rule cong :premises (@p887) :args ((not @t682))) % 0.40/0.90 (step @p889 :rule bool-eq-false :args (@t682)) % 0.40/0.90 (step @p890 :rule trans :premises (@p889 @p888)) % 0.40/0.90 (step @p891 :rule trans :premises (@p890 @p886)) % 0.40/0.90 (step @p892 :rule false_intro :premises (@p1040)) % 0.40/0.90 (step @p893 :rule symm :premises (@p1041)) % 0.40/0.90 (step @p894 :rule cong :premises (@p893 @p760) :args (@t682)) % 0.40/0.90 (step @p895 :rule trans :premises (@p894 @p892)) % 0.40/0.90 (step @p896 :rule eq_resolve :premises (@p895 @p891)) % 0.40/0.90 (step @p897 :rule false_elim :premises (@p896)) % 0.40/0.90 (step-pop @p1044 :rule scope :premises (@p897)) % 0.40/0.90 (step-pop @p1045 :rule scope :premises (@p1044)) % 0.40/0.90 (step @p898 :rule process_scope :premises (@p1045) :args (@t677)) % 0.40/0.90 (step @p901 :rule and_intro :premises (@p1041 @p1040)) % 0.40/0.90 (step @p902 :rule modus_ponens :premises (@p901 @p898)) % 0.40/0.90 (step-pop @p1046 :rule scope :premises (@p902)) % 0.40/0.90 (step-pop @p1047 :rule scope :premises (@p1046)) % 0.40/0.90 (step @p903 :rule process_scope :premises (@p1047) :args (@t677)) % 0.40/0.90 (step @p906 :rule implies_elim :premises (@p903)) % 0.40/0.90 (step @p907 :rule cnf_and_neg :args (@t683)) % 0.40/0.90 (step @p908 :rule resolution :premises (@p907 @p906) :args (true @t683)) % 0.40/0.90 (step @p909 :rule eq_resolve :premises (@p908 @p880)) % 0.40/0.90 (step @p910 :rule chain_m_resolution :premises (@p909 @p697 @p877) :args (@t677 @t631 (@list @t562 @t623))) % 0.40/0.90 (step @p911 :rule eq-refl :args (@t133)) % 0.40/0.90 (step @p912 :rule skolem_intro :args (@t684)) % 0.40/0.90 (step @p913 :rule refl :args (@t133)) % 0.40/0.90 (step @p914 :rule cong :premises (@p913 @p912) :args ((= @t133 @t684))) % 0.40/0.90 (step @p915 :rule trans :premises (@p914 @p911)) % 0.40/0.90 (step @p916 :rule true_elim :premises (@p915)) % 0.40/0.90 (step @p917 :rule cong :premises (@p707 @p916) :args (@t134)) % 0.40/0.90 (step @p918 :rule eq_resolve :premises (@p50 @p917)) % 0.40/0.90 (step @p919 :rule refl :args (@t685)) % 0.40/0.90 (step @p920 :rule refl :args (@t686)) % 0.40/0.90 (step @p921 :rule cong :premises (@p920 @p919) :args ((= @t686 @t685))) % 0.40/0.90 (step @p922 :rule symm :premises (@p921)) % 0.40/0.90 (step @p923 :rule eq_resolve :premises (@p920 @p922)) % 0.40/0.90 (step @p924 :rule cong :premises (@p760 @p923) :args (@t687)) % 0.40/0.90 (step @p925 :rule refl :args (@t688)) % 0.40/0.90 (step @p926 :rule cong :premises (@p925 @p924) :args (@t689)) % 0.40/0.90 ; trust TRUST THEORY_LEMMA % 0.40/0.90 (step @p927 :rule trust :premises () :args (@t689)) % 0.40/0.90 (step @p928 :rule eq_resolve :premises (@p927 @p926)) % 0.40/0.90 (step @p929 :rule implies_elim :premises (@p928)) % 0.40/0.90 (step @p930 :rule chain_m_resolution :premises (@p929 @p918) :args (@t690 @t522 (@list @t688))) % 0.40/0.90 (step @p931 :rule refl :args (@t678)) % 0.40/0.90 (step @p932 :rule refl :args (@t664)) % 0.40/0.90 (step @p933 :rule refl :args (@t691)) % 0.40/0.90 (step @p934 :rule nary_cong :premises (@p825 @p824 @p933 @p672 @p932 @p822 @p821 @p931) :args ((or @t669 @t671 @t691 @t625 @t664 @t668 @t670 @t678))) % 0.40/0.90 (assume-push @p1048 @t655) % 0.40/0.90 (assume-push @p1049 @t667) % 0.40/0.90 (assume-push @p1050 @t690) % 0.40/0.90 (assume-push @p1051 @t623) % 0.40/0.90 (assume-push @p1052 @t662) % 0.40/0.90 (assume-push @p1053 @t521) % 0.40/0.90 (assume-push @p1054 @t516) % 0.40/0.90 (assume-push @p1055 @t655) % 0.40/0.90 (assume-push @p1056 @t667) % 0.40/0.90 (assume-push @p1057 @t516) % 0.40/0.90 (assume-push @p1058 @t521) % 0.40/0.90 (assume-push @p1059 @t623) % 0.40/0.90 (assume-push @p1060 @t662) % 0.40/0.90 (assume-push @p1061 @t690) % 0.40/0.90 (step @p949 :rule symm :premises (@p783)) % 0.40/0.90 (step @p950 :rule trans :premises (@p949 @p1051)) % 0.40/0.90 (step @p951 :rule symm :premises (@p767)) % 0.40/0.90 (step @p952 :rule false_intro :premises (@p1049)) % 0.40/0.90 (step @p953 :rule symm :premises (@p952)) % 0.40/0.90 (step @p954 :rule trans :premises (@p419 @p953)) % 0.40/0.90 (step @p955 :rule cong :premises (@p954 @p417 @p416) :args (@t520)) % 0.40/0.90 (step @p956 :rule trans :premises (@p436 @p955 @p951)) % 0.40/0.90 (step @p957 :rule cong :premises (@p956 @p950) :args ((tptp.ord_min_real tptp.lb2 @t661))) % 0.40/0.90 (step @p958 :rule cong :premises (@p416 @p783) :args (@t685)) % 0.40/0.90 (step @p959 :rule trans :premises (@p930 @p958 @p957)) % 0.40/0.90 (step-pop @p1062 :rule scope :premises (@p959)) % 0.40/0.90 (step-pop @p1063 :rule scope :premises (@p1062)) % 0.40/0.90 (step-pop @p1064 :rule scope :premises (@p1063)) % 0.40/0.90 (step-pop @p1065 :rule scope :premises (@p1064)) % 0.40/0.90 (step-pop @p1066 :rule scope :premises (@p1065)) % 0.40/0.90 (step-pop @p1067 :rule scope :premises (@p1066)) % 0.40/0.90 (step-pop @p1068 :rule scope :premises (@p1067)) % 0.40/0.90 (step @p960 :rule process_scope :premises (@p1068) :args (@t678)) % 0.40/0.90 (step @p968 :rule and_intro :premises (@p767 @p1049 @p437 @p436 @p1051 @p783 @p930)) % 0.40/0.90 (step @p969 :rule modus_ponens :premises (@p968 @p960)) % 0.40/0.90 (step-pop @p1069 :rule scope :premises (@p969)) % 0.40/0.90 (step-pop @p1070 :rule scope :premises (@p1069)) % 0.40/0.90 (step-pop @p1071 :rule scope :premises (@p1070)) % 0.40/0.90 (step-pop @p1072 :rule scope :premises (@p1071)) % 0.40/0.90 (step-pop @p1073 :rule scope :premises (@p1072)) % 0.40/0.90 (step-pop @p1074 :rule scope :premises (@p1073)) % 0.40/0.90 (step-pop @p1075 :rule scope :premises (@p1074)) % 0.40/0.90 (step @p970 :rule process_scope :premises (@p1075) :args (@t678)) % 0.40/0.90 (step @p978 :rule implies_elim :premises (@p970)) % 0.40/0.90 (step @p979 :rule cnf_and_neg :args (@t692)) % 0.40/0.90 (step @p980 :rule resolution :premises (@p979 @p978) :args (true @t692)) % 0.40/0.90 (step @p981 :rule eq_resolve :premises (@p980 @p934)) % 0.40/0.90 (step @p982 :rule reordering :premises (@p981) :args ((or @t648 @t669 @t691 @t625 @t664 @t515 @t668 @t678))) % 0.40/0.90 (step @p983 :rule chain_m_resolution :premises (@p982 @p820 @p767 @p930 @p877 @p783 @p437 @p436) :args (@t678 (@list true false false false false true false) (@list @t648 @t655 @t690 @t623 @t662 @t515 @t521))) % 0.40/0.90 (step @p984 :rule bool-double-not-elim :args (@t676)) % 0.40/0.90 (step @p985 :rule refl :args (@t693)) % 0.40/0.90 (step @p986 :rule refl :args (@t679)) % 0.40/0.90 (step @p987 :rule nary_cong :premises (@p986 @p985 @p984) :args ((or @t679 @t693 (not @t677)))) % 0.40/0.90 (step @p988 :rule cnf_and_neg :args (@t679)) % 0.40/0.90 (step @p989 :rule eq_resolve :premises (@p988 @p987)) % 0.40/0.90 (step @p990 :rule reordering :premises (@p989) :args ((or @t676 @t679 @t693))) % 0.40/0.90 (step @p991 false :rule chain_m_resolution :premises (@p990 @p983 @p910 @p875) :args (false (@list false true true) (@list @t678 @t676 @t679))) % 0.40/0.90 ) % 0.40/0.90 % SZS output end Proof % 0.40/0.90 % cvc5 exiting %------------------------------------------------------------------------------