%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP101^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:03 AM UTC 2026 % Result : Theorem 0.42s 0.78s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP101^1 : 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 % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:14:14 EDT 2026 % 0.15/0.34 % CPUTime : % 0.39/0.57 %----Proving TH0 % 0.42/0.78 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.78 % SZS status Theorem % 0.42/0.78 % SZS output start Proof % 0.42/0.78 ( % 0.42/0.78 (declare-sort tptp.set_nat 0) % 0.42/0.78 (declare-sort tptp.set_a 0) % 0.42/0.78 (declare-sort tptp.list_a 0) % 0.42/0.78 (declare-sort tptp.list_nat 0) % 0.42/0.78 (declare-sort tptp.nat 0) % 0.42/0.78 (declare-sort tptp.a 0) % 0.42/0.78 (declare-const tptp.size_size_list_nat (-> tptp.list_nat tptp.nat)) % 0.42/0.78 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.42/0.78 (declare-const tptp.nth_nat (-> tptp.list_nat tptp.nat tptp.nat)) % 0.42/0.78 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.42/0.78 (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat)) % 0.42/0.78 (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat)) % 0.42/0.78 (declare-const tptp.nth_a (-> tptp.list_a tptp.nat tptp.a)) % 0.42/0.78 (declare-const tptp.if_a (-> Bool tptp.a tptp.a tptp.a)) % 0.42/0.78 (declare-const tptp.x tptp.nat) % 0.42/0.78 (declare-const tptp.f (-> tptp.nat tptp.a)) % 0.42/0.78 (declare-const tptp.xs tptp.list_a) % 0.42/0.78 (declare-const tptp.ys tptp.list_a) % 0.42/0.78 (declare-const tptp.g (-> tptp.nat tptp.a)) % 0.42/0.78 (declare-const tptp.one_one_nat tptp.nat) % 0.42/0.78 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.42/0.78 (declare-const tptp.set_nat2 (-> tptp.list_nat tptp.set_nat)) % 0.42/0.78 (declare-const tptp.append_nat (-> tptp.list_nat tptp.list_nat tptp.list_nat)) % 0.42/0.78 (declare-const tptp.set_a2 (-> tptp.list_a tptp.set_a)) % 0.42/0.78 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.42/0.78 (declare-const tptp.append_a (-> tptp.list_a tptp.list_a tptp.list_a)) % 0.42/0.78 (declare-const tptp.list_update_nat (-> tptp.list_nat tptp.nat tptp.nat tptp.list_nat)) % 0.42/0.78 (declare-const tptp.ord_less_eq_set_a (-> tptp.set_a tptp.set_a Bool)) % 0.42/0.78 (declare-const tptp.butlast_nat (-> tptp.list_nat tptp.list_nat)) % 0.42/0.78 (declare-const tptp.list_update_a (-> tptp.list_a tptp.nat tptp.a tptp.list_a)) % 0.42/0.78 (declare-const tptp.butlast_a (-> tptp.list_a tptp.list_a)) % 0.42/0.78 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.42/0.78 (define tptp.listIn923761578nd_nat () (let ((_let_1 (@var "Xs2" tptp.list_nat))) (let ((_let_2 (_ tptp.size_size_list_nat _let_1))) (let ((_let_3 (@var "N3" tptp.nat))) (let ((_let_4 (@var "F2" (-> tptp.nat tptp.nat)))) (lambda (@list _let_1 _let_4 _let_3) (_ (_ (_ tptp.if_nat (_ (_ tptp.ord_less_nat _let_3) _let_2)) (_ (_ tptp.nth_nat _let_1) _let_3)) (_ _let_4 (_ (_ tptp.minus_minus_nat _let_3) _let_2))))))))) % 0.42/0.78 (define tptp.listIn1312259492pend_a () (let ((_let_1 (@var "Xs2" tptp.list_a))) (let ((_let_2 (_ tptp.size_size_list_a _let_1))) (let ((_let_3 (@var "N3" tptp.nat))) (let ((_let_4 (@var "F2" (-> tptp.nat tptp.a)))) (lambda (@list _let_1 _let_4 _let_3) (_ (_ (_ tptp.if_a (_ (_ tptp.ord_less_nat _let_3) _let_2)) (_ (_ tptp.nth_a _let_1) _let_3)) (_ _let_4 (_ (_ tptp.minus_minus_nat _let_3) _let_2))))))))) % 0.42/0.78 (define tptp.list_strict_desc_nat () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "J2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_4) (_ (_ tptp.ord_less_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.42/0.78 (define tptp.list_strict_asc_nat () (let ((_let_1 (@var "J2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_1) (_ (_ tptp.ord_less_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.42/0.78 (define tptp.list_ex_nat () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (@var "P2" (-> tptp.nat Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (_ _let_3 (_ (_ tptp.nth_nat _let_2) _let_1))))))))) % 0.42/0.78 (define tptp.list_ex_a () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_a))) (let ((_let_3 (@var "P2" (-> tptp.a Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_a _let_2)) (_ _let_3 (_ (_ tptp.nth_a _let_2) _let_1))))))))) % 0.42/0.78 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "X3" tptp.nat))) (let ((_let_2 (@var "N3" tptp.nat))) (let ((_let_3 (@var "A3" tptp.nat))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_3) (not (= _let_2 _let_1))))))))) % 0.42/0.78 (define tptp.list_desc_nat () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "J2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_eq_nat _let_1) _let_4) (_ (_ tptp.ord_less_eq_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.42/0.78 (define tptp.list_asc_nat () (let ((_let_1 (@var "J2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_eq_nat _let_4) _let_1) (_ (_ tptp.ord_less_eq_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 0.42/0.78 (define @t1 () (@var "Ys" tptp.list_nat)) % 0.42/0.78 (define @t2 () (@var "Xs" tptp.list_nat)) % 0.42/0.78 (define @t3 () (= @t2 @t1)) % 0.42/0.78 (define @t4 () (@var "I" tptp.nat)) % 0.42/0.78 (define @t5 () (_ tptp.nth_nat @t1)) % 0.42/0.78 (define @t6 () (_ tptp.nth_nat @t2)) % 0.42/0.78 (define @t7 () (_ @t6 @t4)) % 0.42/0.78 (define @t8 () (_ tptp.size_size_list_nat @t2)) % 0.42/0.78 (define @t9 () (_ tptp.ord_less_nat @t4)) % 0.42/0.78 (define @t10 () (_ @t9 @t8)) % 0.42/0.78 (define @t11 () (@list @t4)) % 0.42/0.78 (define @t12 () (= @t8 (_ tptp.size_size_list_nat @t1))) % 0.42/0.78 (define @t13 () (@list @t2 @t1)) % 0.42/0.78 (define @t14 () (@var "Ys" tptp.list_a)) % 0.42/0.78 (define @t15 () (@var "Xs" tptp.list_a)) % 0.42/0.78 (define @t16 () (= @t15 @t14)) % 0.42/0.78 (define @t17 () (_ tptp.nth_a @t14)) % 0.42/0.78 (define @t18 () (_ tptp.nth_a @t15)) % 0.42/0.78 (define @t19 () (_ @t18 @t4)) % 0.42/0.78 (define @t20 () (_ tptp.size_size_list_a @t15)) % 0.42/0.78 (define @t21 () (_ @t9 @t20)) % 0.42/0.78 (define @t22 () (= @t20 (_ tptp.size_size_list_a @t14))) % 0.42/0.78 (define @t23 () (@list @t15 @t14)) % 0.42/0.78 (define @t24 () (@var "I2" tptp.nat)) % 0.42/0.78 (define @t25 () (@var "Xs2" tptp.list_nat)) % 0.42/0.78 (define @t26 () (_ tptp.nth_nat @t25)) % 0.42/0.78 (define @t27 () (_ @t26 @t24)) % 0.42/0.78 (define @t28 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.42/0.78 (define @t29 () (_ @t28 @t24)) % 0.42/0.78 (define @t30 () (@var "K" tptp.nat)) % 0.42/0.78 (define @t31 () (_ tptp.ord_less_nat @t24)) % 0.42/0.78 (define @t32 () (_ @t31 @t30)) % 0.42/0.78 (define @t33 () (@list @t24)) % 0.42/0.78 (define @t34 () (_ tptp.size_size_list_nat @t25)) % 0.42/0.78 (define @t35 () (@list @t25)) % 0.42/0.78 (define @t36 () (@var "X" tptp.nat)) % 0.42/0.78 (define @t37 () (@list @t36)) % 0.42/0.78 (define @t38 () (@var "Xs2" tptp.list_a)) % 0.42/0.78 (define @t39 () (_ tptp.nth_a @t38)) % 0.42/0.78 (define @t40 () (_ @t39 @t24)) % 0.42/0.78 (define @t41 () (@var "P" (-> tptp.nat tptp.a Bool))) % 0.42/0.78 (define @t42 () (_ @t41 @t24)) % 0.42/0.78 (define @t43 () (_ tptp.size_size_list_a @t38)) % 0.42/0.78 (define @t44 () (@var "X" tptp.a)) % 0.42/0.78 (define @t45 () (@var "Ys2" tptp.list_nat)) % 0.42/0.78 (define @t46 () (@var "Z" tptp.list_nat)) % 0.42/0.78 (define @t47 () (@var "Y" tptp.list_nat)) % 0.42/0.78 (define @t48 () (@var "Ys2" tptp.list_a)) % 0.42/0.78 (define @t49 () (@var "Z" tptp.list_a)) % 0.42/0.78 (define @t50 () (@var "Y" tptp.list_a)) % 0.42/0.78 (define @t51 () (@var "N" tptp.nat)) % 0.42/0.78 (define @t52 () (_ @t6 @t51)) % 0.42/0.78 (define @t53 () (@var "F" (-> tptp.nat tptp.nat))) % 0.42/0.78 (define @t54 () (_ (_ (_ tptp.listIn923761578nd_nat @t2) @t53) @t51)) % 0.42/0.78 (define @t55 () (_ tptp.ord_less_nat @t51)) % 0.42/0.78 (define @t56 () (_ @t55 @t8)) % 0.42/0.78 (define @t57 () (_ @t18 @t51)) % 0.42/0.78 (define @t58 () (@var "F" (-> tptp.nat tptp.a))) % 0.42/0.78 (define @t59 () (_ tptp.listIn1312259492pend_a @t15)) % 0.42/0.78 (define @t60 () (_ (_ @t59 @t58) @t51)) % 0.42/0.78 (define @t61 () (_ @t55 @t20)) % 0.42/0.78 (define @t62 () (@var "M" tptp.nat)) % 0.42/0.78 (define @t63 () (@var "L" tptp.nat)) % 0.42/0.78 (define @t64 () (_ tptp.minus_minus_nat @t63)) % 0.42/0.78 (define @t65 () (_ @t64 @t62)) % 0.42/0.78 (define @t66 () (_ @t64 @t51)) % 0.42/0.78 (define @t67 () (_ tptp.ord_less_nat @t62)) % 0.42/0.78 (define @t68 () (_ @t67 @t51)) % 0.42/0.78 (define @t69 () (@list @t62 @t51 @t63)) % 0.42/0.78 (define @t70 () (@var "J" tptp.nat)) % 0.42/0.78 (define @t71 () (_ tptp.minus_minus_nat @t70)) % 0.42/0.78 (define @t72 () (_ @t71 @t51)) % 0.42/0.78 (define @t73 () (_ tptp.ord_less_nat @t70)) % 0.42/0.78 (define @t74 () (@list @t70 @t30 @t51)) % 0.42/0.78 (define @t75 () (@var "I3" tptp.nat)) % 0.42/0.78 (define @t76 () (_ tptp.ord_less_nat @t75)) % 0.42/0.78 (define @t77 () (_ @t71 @t62)) % 0.42/0.78 (define @t78 () (_ @t76 @t77)) % 0.42/0.78 (define @t79 () (@list @t75 @t70 @t62)) % 0.42/0.78 (define @t80 () (= @t62 @t51)) % 0.42/0.78 (define @t81 () (_ @t67 @t30)) % 0.42/0.78 (define @t82 () (_ tptp.minus_minus_nat @t30)) % 0.42/0.78 (define @t83 () (_ @t82 @t51)) % 0.42/0.78 (define @t84 () (_ @t82 @t62)) % 0.42/0.78 (define @t85 () (= @t84 @t83)) % 0.42/0.78 (define @t86 () (@list @t30 @t62 @t51)) % 0.42/0.78 (define @t87 () (_ @t55 @t62)) % 0.42/0.78 (define @t88 () (_ tptp.ord_less_nat @t30)) % 0.42/0.78 (define @t89 () (_ @t88 @t62)) % 0.42/0.78 (define @t90 () (_ tptp.minus_minus_nat @t51)) % 0.42/0.78 (define @t91 () (_ @t90 @t30)) % 0.42/0.78 (define @t92 () (_ tptp.minus_minus_nat @t62)) % 0.42/0.78 (define @t93 () (_ @t92 @t30)) % 0.42/0.78 (define @t94 () (= @t93 @t91)) % 0.42/0.78 (define @t95 () (@list @t62 @t30 @t51)) % 0.42/0.78 (define @t96 () (@var "X2" tptp.nat)) % 0.42/0.78 (define @t97 () (@var "Y2" tptp.nat)) % 0.42/0.78 (define @t98 () (_ tptp.ord_less_nat @t97)) % 0.42/0.78 (define @t99 () (_ @t98 @t96)) % 0.42/0.78 (define @t100 () (_ tptp.ord_less_nat @t96)) % 0.42/0.78 (define @t101 () (_ @t100 @t97)) % 0.42/0.78 (define @t102 () (not @t101)) % 0.42/0.78 (define @t103 () (= @t96 @t97)) % 0.42/0.78 (define @t104 () (not @t103)) % 0.42/0.78 (define @t105 () (@list @t96 @t97)) % 0.42/0.78 (define @t106 () (@var "P" (-> tptp.nat Bool))) % 0.42/0.78 (define @t107 () (_ @t106 @t51)) % 0.42/0.78 (define @t108 () (@var "M2" tptp.nat)) % 0.42/0.78 (define @t109 () (_ @t106 @t108)) % 0.42/0.78 (define @t110 () (@var "N2" tptp.nat)) % 0.42/0.78 (define @t111 () (_ (_ tptp.ord_less_nat @t108) @t110)) % 0.42/0.78 (define @t112 () (@list @t108)) % 0.42/0.78 (define @t113 () (_ @t106 @t110)) % 0.42/0.78 (define @t114 () (@list @t110)) % 0.42/0.78 (define @t115 () (@list @t106 @t51)) % 0.42/0.78 (define @t116 () (@list @t51)) % 0.42/0.78 (define @t117 () (@var "T" tptp.nat)) % 0.42/0.78 (define @t118 () (@var "S" tptp.nat)) % 0.42/0.78 (define @t119 () (not @t80)) % 0.42/0.78 (define @t120 () (@list @t62 @t51)) % 0.42/0.78 (define @t121 () (@var "Y2" tptp.list_nat)) % 0.42/0.78 (define @t122 () (@var "X2" tptp.list_nat)) % 0.42/0.78 (define @t123 () (@var "Y2" tptp.list_a)) % 0.42/0.78 (define @t124 () (@var "X2" tptp.list_a)) % 0.42/0.78 (define @t125 () (@var "Xs3" tptp.list_nat)) % 0.42/0.78 (define @t126 () (_ tptp.size_size_list_nat @t125)) % 0.42/0.78 (define @t127 () (@list @t125)) % 0.42/0.78 (define @t128 () (@var "Xs3" tptp.list_a)) % 0.42/0.78 (define @t129 () (_ tptp.size_size_list_a @t128)) % 0.42/0.78 (define @t130 () (@list @t128)) % 0.42/0.78 (define @t131 () (_ tptp.minus_minus_nat @t75)) % 0.42/0.78 (define @t132 () (@list @t75 @t70 @t30)) % 0.42/0.78 (define @t133 () (@var "P" (-> tptp.list_nat Bool))) % 0.42/0.78 (define @t134 () (@var "Ys3" tptp.list_nat)) % 0.42/0.78 (define @t135 () (@var "P" (-> tptp.list_a Bool))) % 0.42/0.78 (define @t136 () (@var "Ys3" tptp.list_a)) % 0.42/0.78 (define @t137 () (_ @t90 @t8)) % 0.42/0.78 (define @t138 () (_ tptp.ord_less_eq_nat @t8)) % 0.42/0.78 (define @t139 () (_ @t138 @t51)) % 0.42/0.78 (define @t140 () (_ @t90 @t20)) % 0.42/0.78 (define @t141 () (_ tptp.ord_less_eq_nat @t20)) % 0.42/0.78 (define @t142 () (_ @t141 @t51)) % 0.42/0.78 (define @t143 () (_ tptp.append_nat @t2)) % 0.42/0.78 (define @t144 () (_ @t143 @t1)) % 0.42/0.78 (define @t145 () (_ (_ tptp.nth_nat @t144) @t51)) % 0.42/0.78 (define @t146 () (= @t145 (_ @t5 @t137))) % 0.42/0.78 (define @t147 () (not @t56)) % 0.42/0.78 (define @t148 () (=> @t56 (= @t145 @t52))) % 0.42/0.78 (define @t149 () (@list @t51 @t2 @t1)) % 0.42/0.78 (define @t150 () (_ tptp.append_a @t15)) % 0.42/0.78 (define @t151 () (_ @t150 @t14)) % 0.42/0.78 (define @t152 () (_ (_ tptp.nth_a @t151) @t51)) % 0.42/0.78 (define @t153 () (= @t152 (_ @t17 @t140))) % 0.42/0.78 (define @t154 () (not @t61)) % 0.42/0.78 (define @t155 () (=> @t61 (= @t152 @t57))) % 0.42/0.78 (define @t156 () (@list @t51 @t15 @t14)) % 0.42/0.78 (define @t157 () (_ tptp.list_update_nat @t2)) % 0.42/0.78 (define @t158 () (_ @t157 @t75)) % 0.42/0.78 (define @t159 () (_ @t158 @t96)) % 0.42/0.78 (define @t160 () (_ tptp.nth_nat @t159)) % 0.42/0.78 (define @t161 () (_ @t76 @t8)) % 0.42/0.78 (define @t162 () (@list @t75 @t2 @t96)) % 0.42/0.78 (define @t163 () (@var "X2" tptp.a)) % 0.42/0.78 (define @t164 () (_ tptp.list_update_a @t15)) % 0.42/0.78 (define @t165 () (_ @t164 @t75)) % 0.42/0.78 (define @t166 () (_ @t165 @t163)) % 0.42/0.78 (define @t167 () (_ tptp.nth_a @t166)) % 0.42/0.78 (define @t168 () (_ @t76 @t20)) % 0.42/0.78 (define @t169 () (@list @t75 @t15 @t163)) % 0.42/0.78 (define @t170 () (_ tptp.butlast_nat @t2)) % 0.42/0.78 (define @t171 () (_ tptp.size_size_list_nat @t170)) % 0.42/0.78 (define @t172 () (@list @t51 @t2)) % 0.42/0.78 (define @t173 () (_ tptp.butlast_a @t15)) % 0.42/0.78 (define @t174 () (_ tptp.size_size_list_a @t173)) % 0.42/0.78 (define @t175 () (@list @t51 @t15)) % 0.42/0.78 (define @t176 () (@var "A" tptp.a)) % 0.42/0.78 (define @t177 () (@var "P" (-> tptp.a Bool))) % 0.42/0.78 (define @t178 () (@var "A2" tptp.set_a)) % 0.42/0.78 (define @t179 () (@var "X3" tptp.a)) % 0.42/0.78 (define @t180 () (_ tptp.member_a @t179)) % 0.42/0.78 (define @t181 () (@list @t179)) % 0.42/0.78 (define @t182 () (@var "C" tptp.list_a)) % 0.42/0.78 (define @t183 () (@var "B" tptp.list_a)) % 0.42/0.78 (define @t184 () (@var "A" tptp.list_a)) % 0.42/0.78 (define @t185 () (_ tptp.append_a @t184)) % 0.42/0.78 (define @t186 () (@var "Zs" tptp.list_a)) % 0.42/0.78 (define @t187 () (_ tptp.append_a @t14)) % 0.42/0.78 (define @t188 () (@list @t15 @t14 @t186)) % 0.42/0.78 (define @t189 () (= @t14 @t186)) % 0.42/0.78 (define @t190 () (_ tptp.append_a @t186)) % 0.42/0.78 (define @t191 () (@var "Y2" tptp.a)) % 0.42/0.78 (define @t192 () (_ tptp.list_update_a @t166)) % 0.42/0.78 (define @t193 () (_ tptp.ord_less_eq_nat @t75)) % 0.42/0.78 (define @t194 () (@var "Vs" tptp.list_nat)) % 0.42/0.78 (define @t195 () (@var "Us" tptp.list_nat)) % 0.42/0.78 (define @t196 () (@var "Vs" tptp.list_a)) % 0.42/0.78 (define @t197 () (@var "Us" tptp.list_a)) % 0.42/0.78 (define @t198 () (@list @t2 @t75 @t96)) % 0.42/0.78 (define @t199 () (@list @t15 @t75 @t163)) % 0.42/0.78 (define @t200 () (_ @t6 @t75)) % 0.42/0.78 (define @t201 () (_ @t18 @t75)) % 0.42/0.78 (define @t202 () (_ @t6 @t70)) % 0.42/0.78 (define @t203 () (_ @t160 @t70)) % 0.42/0.78 (define @t204 () (= @t75 @t70)) % 0.42/0.78 (define @t205 () (not @t204)) % 0.42/0.78 (define @t206 () (=> @t205 (= @t203 @t202))) % 0.42/0.78 (define @t207 () (_ @t18 @t70)) % 0.42/0.78 (define @t208 () (_ @t167 @t70)) % 0.42/0.78 (define @t209 () (=> @t205 (= @t208 @t207))) % 0.42/0.78 (define @t210 () (_ tptp.list_ex_a @t177)) % 0.42/0.78 (define @t211 () (= @t159 @t2)) % 0.42/0.78 (define @t212 () (= @t166 @t15)) % 0.42/0.78 (define @t213 () (_ tptp.ord_less_eq_nat @t51)) % 0.42/0.78 (define @t214 () (_ @t193 @t30)) % 0.42/0.78 (define @t215 () (_ (_ tptp.ord_less_eq_nat @t70) @t30)) % 0.42/0.78 (define @t216 () (_ @t193 @t70)) % 0.42/0.78 (define @t217 () (_ tptp.ord_less_eq_nat @t62)) % 0.42/0.78 (define @t218 () (_ @t217 @t51)) % 0.42/0.78 (define @t219 () (_ @t213 @t62)) % 0.42/0.78 (define @t220 () (@var "X4" tptp.a)) % 0.42/0.78 (define @t221 () (@var "I4" tptp.nat)) % 0.42/0.78 (define @t222 () (@var "Xs1" tptp.list_a)) % 0.42/0.78 (define @t223 () (@var "X5" tptp.nat)) % 0.42/0.78 (define @t224 () (@var "Y4" tptp.nat)) % 0.42/0.78 (define @t225 () (_ @t106 @t224)) % 0.42/0.78 (define @t226 () (@list @t224)) % 0.42/0.78 (define @t227 () (_ @t106 @t223)) % 0.42/0.78 (define @t228 () (@list @t223)) % 0.42/0.78 (define @t229 () (@var "B" tptp.nat)) % 0.42/0.78 (define @t230 () (@var "Y3" tptp.nat)) % 0.42/0.78 (define @t231 () (@var "Ts" tptp.list_a)) % 0.42/0.78 (define @t232 () (@var "Us2" tptp.list_a)) % 0.42/0.78 (define @t233 () (_ tptp.append_a @t232)) % 0.42/0.78 (define @t234 () (@var "J3" tptp.nat)) % 0.42/0.78 (define @t235 () (@var "I5" tptp.nat)) % 0.42/0.78 (define @t236 () (@list @t235)) % 0.42/0.78 (define @t237 () (_ tptp.list_strict_asc_nat @t2)) % 0.42/0.78 (define @t238 () (@list @t2)) % 0.42/0.78 (define @t239 () (_ tptp.list_update_nat @t144)) % 0.42/0.78 (define @t240 () (_ tptp.list_update_a @t151)) % 0.42/0.78 (define @t241 () (@var "X3" tptp.nat)) % 0.42/0.78 (define @t242 () (@var "N3" tptp.nat)) % 0.42/0.78 (define @t243 () (not (= @t242 @t241))) % 0.42/0.78 (define @t244 () (@var "A3" tptp.nat)) % 0.42/0.78 (define @t245 () (_ tptp.ord_less_eq_nat @t244)) % 0.42/0.78 (define @t246 () (@list @t241)) % 0.42/0.78 (define @t247 () (@list @t242 @t244)) % 0.42/0.78 (define @t248 () (_ tptp.ord_less_eq_nat @t241)) % 0.42/0.78 (define @t249 () (@list @t244 @t242)) % 0.42/0.78 (define @t250 () (_ tptp.ord_less_nat @t244)) % 0.42/0.78 (define @t251 () (@var "M3" tptp.nat)) % 0.42/0.78 (define @t252 () (= @t251 @t242)) % 0.42/0.78 (define @t253 () (@list @t251 @t242)) % 0.42/0.78 (define @t254 () (_ (_ tptp.ord_less_nat @t251) @t242)) % 0.42/0.78 (define @t255 () (@var "J4" tptp.nat)) % 0.42/0.78 (define @t256 () (_ tptp.ord_less_eq_nat @t30)) % 0.42/0.78 (define @t257 () (_ @t256 @t51)) % 0.42/0.78 (define @t258 () (_ @t256 @t62)) % 0.42/0.78 (define @t259 () (_ (_ tptp.ord_less_eq_nat @t93) @t91)) % 0.42/0.78 (define @t260 () (_ @t92 @t51)) % 0.42/0.78 (define @t261 () (@var "A" tptp.nat)) % 0.42/0.78 (define @t262 () (_ tptp.ord_less_eq_nat @t229)) % 0.42/0.78 (define @t263 () (_ @t262 @t261)) % 0.42/0.78 (define @t264 () (@var "C" tptp.nat)) % 0.42/0.78 (define @t265 () (_ tptp.minus_minus_nat @t264)) % 0.42/0.78 (define @t266 () (_ @t262 @t264)) % 0.42/0.78 (define @t267 () (_ tptp.ord_less_eq_nat @t261)) % 0.42/0.78 (define @t268 () (_ @t267 @t264)) % 0.42/0.78 (define @t269 () (@list @t261 @t264 @t229)) % 0.42/0.78 (define @t270 () (_ @t193 @t77)) % 0.42/0.78 (define @t271 () (_ @t213 @t30)) % 0.42/0.78 (define @t272 () (@list @t75 @t70 @t62 @t51)) % 0.42/0.78 (define @t273 () (_ (_ tptp.ord_less_eq_nat @t84) @t83)) % 0.42/0.78 (define @t274 () (_ (_ @t239 @t51) @t96)) % 0.42/0.78 (define @t275 () (_ (_ @t240 @t51) @t163)) % 0.42/0.78 (define @t276 () (_ tptp.minus_minus_nat @t261)) % 0.42/0.78 (define @t277 () (_ @t276 @t264)) % 0.42/0.78 (define @t278 () (_ tptp.ord_less_eq_nat @t264)) % 0.42/0.78 (define @t279 () (_ @t278 @t261)) % 0.42/0.78 (define @t280 () (_ tptp.ord_less_nat @t261)) % 0.42/0.78 (define @t281 () (_ @t280 @t229)) % 0.42/0.78 (define @t282 () (@list @t261 @t229 @t264)) % 0.42/0.78 (define @t283 () (@var "J2" tptp.nat)) % 0.42/0.78 (define @t284 () (_ @t26 @t283)) % 0.42/0.78 (define @t285 () (_ (_ tptp.ord_less_eq_nat @t284) @t27)) % 0.42/0.78 (define @t286 () (_ @t31 @t283)) % 0.42/0.78 (define @t287 () (_ (_ tptp.ord_less_nat @t283) @t34)) % 0.42/0.78 (define @t288 () (@list @t283)) % 0.42/0.78 (define @t289 () (_ (_ tptp.ord_less_eq_nat @t27) @t284)) % 0.42/0.78 (define @t290 () (_ tptp.ord_less_eq_nat @t96)) % 0.42/0.78 (define @t291 () (@list @t96)) % 0.42/0.78 (define @t292 () (@var "K2" tptp.nat)) % 0.42/0.78 (define @t293 () (_ @t106 @t292)) % 0.42/0.78 (define @t294 () (@list @t292)) % 0.42/0.78 (define @t295 () (@var "X6" tptp.nat)) % 0.42/0.78 (define @t296 () (_ (_ tptp.ord_less_eq_nat @t117) @t295)) % 0.42/0.78 (define @t297 () (@var "Z2" tptp.nat)) % 0.42/0.78 (define @t298 () (_ tptp.ord_less_nat @t295)) % 0.42/0.78 (define @t299 () (_ @t298 @t297)) % 0.42/0.78 (define @t300 () (@list @t295)) % 0.42/0.78 (define @t301 () (@list @t297)) % 0.42/0.78 (define @t302 () (@list @t117)) % 0.42/0.78 (define @t303 () (_ @t53 @t264)) % 0.42/0.78 (define @t304 () (_ @t53 @t230)) % 0.42/0.78 (define @t305 () (_ @t53 @t223)) % 0.42/0.78 (define @t306 () (@list @t223 @t230)) % 0.42/0.78 (define @t307 () (forall @t306 (=> (_ (_ tptp.ord_less_eq_nat @t223) @t230) (_ (_ tptp.ord_less_eq_nat @t305) @t304)))) % 0.42/0.78 (define @t308 () (=> @t266 (=> @t307 (_ @t267 @t303)))) % 0.42/0.78 (define @t309 () (_ @t53 @t229)) % 0.42/0.78 (define @t310 () (_ @t267 @t309)) % 0.42/0.78 (define @t311 () (@list @t261 @t53 @t229 @t264)) % 0.42/0.78 (define @t312 () (_ @t53 @t261)) % 0.42/0.78 (define @t313 () (=> @t307 (_ (_ tptp.ord_less_eq_nat @t312) @t264))) % 0.42/0.78 (define @t314 () (_ (_ tptp.ord_less_eq_nat @t309) @t264)) % 0.42/0.78 (define @t315 () (_ @t267 @t229)) % 0.42/0.78 (define @t316 () (@list @t261 @t229 @t53 @t264)) % 0.42/0.78 (define @t317 () (= @t261 @t309)) % 0.42/0.78 (define @t318 () (= @t309 @t264)) % 0.42/0.78 (define @t319 () (@var "Y5" tptp.nat)) % 0.42/0.78 (define @t320 () (_ (_ tptp.ord_less_eq_nat @t319) @t241)) % 0.42/0.78 (define @t321 () (_ @t248 @t319)) % 0.42/0.78 (define @t322 () (@list @t241 @t319)) % 0.42/0.78 (define @t323 () (@var "Z" tptp.nat)) % 0.42/0.78 (define @t324 () (@var "Y" tptp.nat)) % 0.42/0.78 (define @t325 () (lambda (@list @t324 @t323) (= @t324 @t323))) % 0.42/0.78 (define @t326 () (_ tptp.ord_less_eq_nat @t97)) % 0.42/0.78 (define @t327 () (_ @t326 @t96)) % 0.42/0.78 (define @t328 () (_ @t290 @t97)) % 0.42/0.78 (define @t329 () (not @t328)) % 0.42/0.78 (define @t330 () (=> @t266 @t268)) % 0.42/0.78 (define @t331 () (@var "Z3" tptp.nat)) % 0.42/0.78 (define @t332 () (_ tptp.ord_less_eq_nat @t331)) % 0.42/0.78 (define @t333 () (_ @t332 @t96)) % 0.42/0.78 (define @t334 () (_ @t326 @t331)) % 0.42/0.78 (define @t335 () (not @t327)) % 0.42/0.78 (define @t336 () (_ @t332 @t97)) % 0.42/0.78 (define @t337 () (_ @t290 @t331)) % 0.42/0.78 (define @t338 () (@list @t96 @t97 @t331)) % 0.42/0.78 (define @t339 () (= @t328 @t103)) % 0.42/0.78 (define @t340 () (@list @t97 @t96)) % 0.42/0.78 (define @t341 () (@var "B2" tptp.nat)) % 0.42/0.78 (define @t342 () (_ (_ tptp.ord_less_eq_nat @t341) @t244)) % 0.42/0.78 (define @t343 () (_ @t245 @t341)) % 0.42/0.78 (define @t344 () (@list @t244 @t341)) % 0.42/0.78 (define @t345 () (= @t261 @t229)) % 0.42/0.78 (define @t346 () (= @t229 @t264)) % 0.42/0.78 (define @t347 () (@list @t261 @t229)) % 0.42/0.78 (define @t348 () (@list @t261)) % 0.42/0.78 (define @t349 () (@var "B3" tptp.nat)) % 0.42/0.78 (define @t350 () (@var "A4" tptp.nat)) % 0.42/0.78 (define @t351 () (_ @t28 @t350)) % 0.42/0.78 (define @t352 () (_ @t351 @t349)) % 0.42/0.78 (define @t353 () (@list @t350 @t349)) % 0.42/0.78 (define @t354 () (=> (forall @t353 (=> (_ (_ @t28 @t349) @t350) @t352)) (_ (_ @t28 @t261) @t229))) % 0.42/0.78 (define @t355 () (@list @t28 @t261 @t229)) % 0.42/0.78 (define @t356 () (_ @t278 @t229)) % 0.42/0.78 (define @t357 () (@list @t229 @t261 @t264)) % 0.42/0.78 (define @t358 () (@list @t229 @t261)) % 0.42/0.78 (define @t359 () (not @t345)) % 0.42/0.78 (define @t360 () (_ tptp.ord_less_nat @t229)) % 0.42/0.78 (define @t361 () (_ @t360 @t261)) % 0.42/0.78 (define @t362 () (_ tptp.ord_less_nat @t264)) % 0.42/0.78 (define @t363 () (_ @t362 @t261)) % 0.42/0.78 (define @t364 () (=> (_ @t362 @t229) @t363)) % 0.42/0.78 (define @t365 () (@var "P2" (-> tptp.nat Bool))) % 0.42/0.78 (define @t366 () (@list @t242)) % 0.42/0.78 (define @t367 () (@var "P3" (-> tptp.nat Bool))) % 0.42/0.78 (define @t368 () (not @t99)) % 0.42/0.78 (define @t369 () (_ @t280 @t264)) % 0.42/0.78 (define @t370 () (_ @t360 @t264)) % 0.42/0.78 (define @t371 () (=> @t370 @t369)) % 0.42/0.78 (define @t372 () (@var "P" Bool)) % 0.42/0.78 (define @t373 () (= @t102 @t103)) % 0.42/0.78 (define @t374 () (_ @t106 @t261)) % 0.42/0.78 (define @t375 () (_ @t100 @t331)) % 0.42/0.78 (define @t376 () (=> (_ @t98 @t331) @t375)) % 0.42/0.78 (define @t377 () (@var "X_1" tptp.nat)) % 0.42/0.78 (define @t378 () (_ (_ tptp.ord_less_nat @t312) @t264)) % 0.42/0.78 (define @t379 () (_ tptp.ord_less_nat @t223)) % 0.42/0.78 (define @t380 () (forall @t306 (=> (_ @t379 @t230) (_ (_ tptp.ord_less_nat @t305) @t304)))) % 0.42/0.78 (define @t381 () (=> @t380 @t378)) % 0.42/0.78 (define @t382 () (_ (_ tptp.ord_less_nat @t309) @t264)) % 0.42/0.78 (define @t383 () (_ @t280 @t303)) % 0.42/0.78 (define @t384 () (=> @t370 (=> @t380 @t383))) % 0.42/0.78 (define @t385 () (_ @t280 @t309)) % 0.42/0.78 (define @t386 () (@var "Q2" (-> tptp.nat Bool))) % 0.42/0.78 (define @t387 () (_ @t386 @t295)) % 0.42/0.78 (define @t388 () (@var "P4" (-> tptp.nat Bool))) % 0.42/0.78 (define @t389 () (_ @t388 @t295)) % 0.42/0.78 (define @t390 () (@var "Q" (-> tptp.nat Bool))) % 0.42/0.78 (define @t391 () (_ @t390 @t295)) % 0.42/0.78 (define @t392 () (_ @t106 @t295)) % 0.42/0.78 (define @t393 () (= (and @t392 @t391) (and @t389 @t387))) % 0.42/0.78 (define @t394 () (_ (_ tptp.ord_less_nat @t297) @t295)) % 0.42/0.78 (define @t395 () (= (_ @t390 @t223) (_ @t386 @t223))) % 0.42/0.78 (define @t396 () (@var "Z4" tptp.nat)) % 0.42/0.78 (define @t397 () (_ (_ tptp.ord_less_nat @t396) @t223)) % 0.42/0.78 (define @t398 () (@list @t396)) % 0.42/0.78 (define @t399 () (exists @t398 (forall @t228 (=> @t397 @t395)))) % 0.42/0.78 (define @t400 () (= @t227 (_ @t388 @t223))) % 0.42/0.78 (define @t401 () (exists @t398 (forall @t228 (=> @t397 @t400)))) % 0.42/0.78 (define @t402 () (@list @t106 @t388 @t390 @t386)) % 0.42/0.78 (define @t403 () (= (or @t392 @t391) (or @t389 @t387))) % 0.42/0.78 (define @t404 () (not (= @t295 @t117))) % 0.42/0.78 (define @t405 () (_ @t298 @t117)) % 0.42/0.78 (define @t406 () (_ (_ tptp.ord_less_nat @t117) @t295)) % 0.42/0.78 (define @t407 () (_ @t379 @t396)) % 0.42/0.78 (define @t408 () (exists @t398 (forall @t228 (=> @t407 @t395)))) % 0.42/0.78 (define @t409 () (exists @t398 (forall @t228 (=> @t407 @t400)))) % 0.42/0.78 (define @t410 () (= @t244 @t341)) % 0.42/0.78 (define @t411 () (not @t410)) % 0.42/0.78 (define @t412 () (@list @t341 @t244)) % 0.42/0.78 (define @t413 () (= @t241 @t319)) % 0.42/0.78 (define @t414 () (_ tptp.ord_less_nat @t241)) % 0.42/0.78 (define @t415 () (_ (_ tptp.ord_less_eq_nat @t295) @t117)) % 0.42/0.78 (define @t416 () (@var "C2" tptp.nat)) % 0.42/0.78 (define @t417 () (@var "D" tptp.nat)) % 0.42/0.78 (define @t418 () (@var "B4" tptp.nat)) % 0.42/0.78 (define @t419 () (@var "A5" tptp.nat)) % 0.42/0.78 (define @t420 () (_ tptp.set_nat2 @t2)) % 0.42/0.78 (define @t421 () (_ tptp.set_a2 @t15)) % 0.42/0.78 (define @t422 () (_ tptp.butlast_nat (_ (_ @t157 @t30) @t96))) % 0.42/0.78 (define @t423 () (_ (_ tptp.minus_minus_nat @t8) tptp.one_one_nat)) % 0.42/0.78 (define @t424 () (= @t30 @t423)) % 0.42/0.78 (define @t425 () (_ tptp.butlast_a (_ (_ @t164 @t30) @t163))) % 0.42/0.78 (define @t426 () (_ (_ tptp.minus_minus_nat @t20) tptp.one_one_nat)) % 0.42/0.78 (define @t427 () (= @t30 @t426)) % 0.42/0.78 (define @t428 () (@var "B5" tptp.set_a)) % 0.42/0.78 (define @t429 () (_ @t180 @t421)) % 0.42/0.78 (define @t430 () (_ tptp.ord_less_eq_set_a @t421)) % 0.42/0.78 (define @t431 () (_ tptp.member_a @t163)) % 0.42/0.78 (define @t432 () (_ @t431 @t421)) % 0.42/0.78 (define @t433 () (_ @t431 (_ tptp.set_a2 @t173))) % 0.42/0.78 (define @t434 () (@list @t163 @t15)) % 0.42/0.78 (define @t435 () (@var "G" (-> tptp.a Bool))) % 0.42/0.78 (define @t436 () (@var "F" (-> tptp.a Bool))) % 0.42/0.78 (define @t437 () (@var "X5" tptp.a)) % 0.42/0.78 (define @t438 () (_ tptp.member_a @t437)) % 0.42/0.78 (define @t439 () (@list @t437)) % 0.42/0.78 (define @t440 () (_ @t6 @t24)) % 0.42/0.78 (define @t441 () (_ @t31 @t8)) % 0.42/0.78 (define @t442 () (_ (_ tptp.member_nat @t96) @t420)) % 0.42/0.78 (define @t443 () (_ @t18 @t24)) % 0.42/0.78 (define @t444 () (_ @t31 @t20)) % 0.42/0.78 (define @t445 () (@list @t163 @t191)) % 0.42/0.78 (define @t446 () (_ tptp.size_size_list_a tptp.ys)) % 0.42/0.78 (define @t447 () (_ tptp.size_size_list_a tptp.xs)) % 0.42/0.78 (define @t448 () (_ tptp.minus_minus_nat @t295)) % 0.42/0.78 (define @t449 () (_ tptp.g (_ @t448 @t446))) % 0.42/0.78 (define @t450 () (_ tptp.f (_ @t448 @t447))) % 0.42/0.78 (define @t451 () (_ @t298 @t446)) % 0.42/0.78 (define @t452 () (not @t451)) % 0.42/0.78 (define @t453 () (=> @t452 (= @t450 @t449))) % 0.42/0.78 (define @t454 () (_ tptp.nth_a tptp.xs)) % 0.42/0.78 (define @t455 () (_ @t454 @t295)) % 0.42/0.78 (define @t456 () (=> @t451 (= @t455 @t449))) % 0.42/0.78 (define @t457 () (and @t456 @t453)) % 0.42/0.78 (define @t458 () (=> @t452 @t457)) % 0.42/0.78 (define @t459 () (_ tptp.nth_a tptp.ys)) % 0.42/0.78 (define @t460 () (_ @t459 @t295)) % 0.42/0.78 (define @t461 () (= @t450 @t460)) % 0.42/0.78 (define @t462 () (= @t455 @t460)) % 0.42/0.78 (define @t463 () (and (=> @t451 @t462) (=> @t452 @t461))) % 0.42/0.78 (define @t464 () (=> @t451 @t463)) % 0.42/0.78 (define @t465 () (and @t464 @t458)) % 0.42/0.78 (define @t466 () (forall @t300 @t465)) % 0.42/0.78 (define @t467 () (_ tptp.ord_less_nat tptp.x)) % 0.42/0.78 (define @t468 () (_ @t467 @t446)) % 0.42/0.78 (define @t469 () (_ @t459 tptp.x)) % 0.42/0.78 (define @t470 () (_ @t454 tptp.x)) % 0.42/0.78 (define @t471 () (= @t470 @t469)) % 0.42/0.78 (define @t472 () (not @t471)) % 0.42/0.78 (define @t473 () (_ tptp.minus_minus_nat @t242)) % 0.42/0.78 (define @t474 () (@var "F2" (-> tptp.nat tptp.nat))) % 0.42/0.78 (define @t475 () (_ @t26 @t242)) % 0.42/0.78 (define @t476 () (_ tptp.ord_less_nat @t242)) % 0.42/0.78 (define @t477 () (_ @t476 @t34)) % 0.42/0.78 (define @t478 () (lambda (@list @t25 @t474 @t242) (_ (_ (_ tptp.if_nat @t477) @t475) (_ @t474 (_ @t473 @t34))))) % 0.42/0.78 (define @t479 () (@var "F2" (-> tptp.nat tptp.a))) % 0.42/0.78 (define @t480 () (_ @t39 @t242)) % 0.42/0.78 (define @t481 () (_ @t476 @t43)) % 0.42/0.78 (define @t482 () (lambda (@list @t38 @t479 @t242) (_ (_ (_ tptp.if_a @t481) @t480) (_ @t479 (_ @t473 @t43))))) % 0.42/0.78 (define @t483 () (lambda @t35 (forall @t288 (=> @t287 (forall @t33 (=> @t286 (_ (_ tptp.ord_less_nat @t284) @t27))))))) % 0.42/0.78 (define @t484 () (lambda @t35 (forall @t288 (=> @t287 (forall @t33 (=> @t286 (_ (_ tptp.ord_less_nat @t27) @t284))))))) % 0.42/0.78 (define @t485 () (lambda (@list @t365 @t25) (exists @t366 (and @t477 (_ @t365 @t475))))) % 0.42/0.78 (define @t486 () (@var "P2" (-> tptp.a Bool))) % 0.42/0.78 (define @t487 () (lambda (@list @t486 @t38) (exists @t366 (and @t481 (_ @t486 @t480))))) % 0.42/0.78 (define @t488 () (lambda @t249 (forall @t246 (=> (_ @t414 @t244) @t243)))) % 0.42/0.78 (define @t489 () (_ (_ tptp.ord_less_eq_nat @t24) @t283)) % 0.42/0.78 (define @t490 () (lambda @t35 (forall @t288 (=> @t287 (forall @t33 (=> @t489 @t285)))))) % 0.42/0.78 (define @t491 () (lambda @t35 (forall @t288 (=> @t287 (forall @t33 (=> @t489 @t289)))))) % 0.42/0.78 (define @t492 () (tptp.size_size_list_a tptp.ys)) % 0.42/0.78 (define @t493 () (tptp.ord_less_nat tptp.x @t492)) % 0.42/0.78 (define @t494 () (@var "BOUND_VARIABLE_14437" tptp.nat)) % 0.42/0.78 (define @t495 () (_ tptp.minus_minus_nat @t494)) % 0.42/0.78 (define @t496 () (_ @t495 @t447)) % 0.42/0.78 (define @t497 () (tptp.size_size_list_a tptp.xs)) % 0.42/0.78 (define @t498 () (tptp.minus_minus_nat @t494 @t497)) % 0.42/0.78 (define @t499 () (tptp.f @t498)) % 0.42/0.78 (define @t500 () (_ tptp.f @t496)) % 0.42/0.78 (define @t501 () (_ @t495 @t446)) % 0.42/0.78 (define @t502 () (tptp.minus_minus_nat @t494 @t492)) % 0.42/0.78 (define @t503 () (tptp.g @t502)) % 0.42/0.78 (define @t504 () (_ tptp.g @t501)) % 0.42/0.78 (define @t505 () (= @t504 @t500)) % 0.42/0.78 (define @t506 () (tptp.ord_less_nat @t494 @t492)) % 0.42/0.78 (define @t507 () (_ tptp.ord_less_nat @t494)) % 0.42/0.78 (define @t508 () (_ @t507 @t446)) % 0.42/0.78 (define @t509 () (or @t508 @t505)) % 0.42/0.78 (define @t510 () (tptp.nth_a tptp.xs @t494)) % 0.42/0.78 (define @t511 () (_ @t454 @t494)) % 0.42/0.78 (define @t512 () (= @t504 @t511)) % 0.42/0.78 (define @t513 () (not @t508)) % 0.42/0.78 (define @t514 () (or @t513 @t512)) % 0.42/0.78 (define @t515 () (and @t514 @t509)) % 0.42/0.78 (define @t516 () (or @t508 @t515)) % 0.42/0.78 (define @t517 () (forall (@list @t494) @t516)) % 0.42/0.78 (define @t518 () (@var "BOUND_VARIABLE_14419" tptp.nat)) % 0.42/0.78 (define @t519 () (_ tptp.minus_minus_nat @t518)) % 0.42/0.78 (define @t520 () (_ @t519 @t447)) % 0.42/0.78 (define @t521 () (tptp.minus_minus_nat @t518 @t497)) % 0.42/0.78 (define @t522 () (tptp.f @t521)) % 0.42/0.78 (define @t523 () (_ tptp.f @t520)) % 0.42/0.78 (define @t524 () (tptp.nth_a tptp.ys @t518)) % 0.42/0.78 (define @t525 () (_ @t459 @t518)) % 0.42/0.78 (define @t526 () (= @t525 @t523)) % 0.42/0.78 (define @t527 () (tptp.ord_less_nat @t518 @t492)) % 0.42/0.78 (define @t528 () (_ tptp.ord_less_nat @t518)) % 0.42/0.78 (define @t529 () (_ @t528 @t446)) % 0.42/0.78 (define @t530 () (or @t529 @t526)) % 0.42/0.78 (define @t531 () (tptp.nth_a tptp.xs @t518)) % 0.42/0.78 (define @t532 () (_ @t454 @t518)) % 0.42/0.78 (define @t533 () (= @t532 @t525)) % 0.42/0.78 (define @t534 () (not @t529)) % 0.42/0.78 (define @t535 () (or @t534 @t533)) % 0.42/0.78 (define @t536 () (and @t535 @t530)) % 0.42/0.78 (define @t537 () (or @t534 @t536)) % 0.42/0.78 (define @t538 () (@list @t518)) % 0.42/0.78 (define @t539 () (or @t529 (= @t523 @t525))) % 0.42/0.78 (define @t540 () (and @t535 @t539)) % 0.42/0.78 (define @t541 () (or @t534 @t540)) % 0.42/0.78 (define @t542 () (forall @t538 @t541)) % 0.42/0.78 (define @t543 () (= @t449 @t450)) % 0.42/0.78 (define @t544 () (= @t449 @t455)) % 0.42/0.78 (define @t545 () (or @t451 (and (or @t452 @t544) (or @t451 @t543)))) % 0.42/0.78 (define @t546 () (forall @t300 @t545)) % 0.42/0.78 (define @t547 () (@list @t295)) % 0.42/0.78 (define @t548 () (or @t452 (and (or @t452 @t462) (or @t451 @t461)))) % 0.42/0.78 (define @t549 () (forall @t300 @t548)) % 0.42/0.78 (define @t550 () (and @t549 @t546)) % 0.42/0.78 (define @t551 () (not @t452)) % 0.42/0.78 (define @t552 () (and (=> @t451 @t544) (=> @t452 @t543))) % 0.42/0.78 (define @t553 () (and @t464 (=> @t452 @t552))) % 0.42/0.78 (define @t554 () (tptp.nth_a tptp.ys tptp.x)) % 0.42/0.78 (define @t555 () (or @t493 (= @t554 (tptp.f (tptp.minus_minus_nat tptp.x @t497))))) % 0.42/0.78 (define @t556 () (tptp.nth_a tptp.xs tptp.x)) % 0.42/0.78 (define @t557 () (not @t493)) % 0.42/0.78 (define @t558 () (or @t557 (= @t556 @t554))) % 0.42/0.78 (define @t559 () (and @t558 @t555)) % 0.42/0.78 (define @t560 () (or @t557 @t559)) % 0.42/0.78 (define @t561 () (not @t527)) % 0.42/0.78 (define @t562 () (forall @t538 (or @t561 (and (or @t561 (= @t531 @t524)) (or @t527 (= @t524 @t522)))))) % 0.42/0.78 (define @t563 () (= @t554 @t556)) % 0.42/0.78 (define @t564 () (or @t557 @t563)) % 0.42/0.78 (define @t565 () (and @t564 @t555)) % 0.42/0.78 (define @t566 () (or @t557 @t565)) % 0.42/0.78 (define @t567 () (not @t564)) % 0.42/0.78 (define @t568 () (not @t565)) % 0.42/0.78 (assume @p1 (forall @t13 (=> @t12 (=> (forall @t11 (=> @t10 (= @t7 (_ @t5 @t4)))) @t3)))) % 0.42/0.78 (assume @p2 (forall @t23 (=> @t22 (=> (forall @t11 (=> @t21 (= @t19 (_ @t17 @t4)))) @t16)))) % 0.42/0.78 (assume @p3 (forall (@list @t30 @t28) (= (forall @t33 (=> @t32 (exists @t37 (_ @t29 @t36)))) (exists @t35 (and (= @t34 @t30) (forall @t33 (=> @t32 (_ @t29 @t27)))))))) % 0.42/0.78 (assume @p4 (forall (@list @t30 @t41) (= (forall @t33 (=> @t32 (exists (@list @t44) (_ @t42 @t44)))) (exists (@list @t38) (and (= @t43 @t30) (forall @t33 (=> @t32 (_ @t42 @t40)))))))) % 0.42/0.78 (assume @p5 (= (lambda (@list @t47 @t46) (= @t47 @t46)) (lambda (@list @t25 @t45) (and (= @t34 (_ tptp.size_size_list_nat @t45)) (forall @t33 (=> (_ @t31 @t34) (= @t27 (_ (_ tptp.nth_nat @t45) @t24)))))))) % 0.42/0.78 (assume @p6 (= (lambda (@list @t50 @t49) (= @t50 @t49)) (lambda (@list @t38 @t48) (and (= @t43 (_ tptp.size_size_list_a @t48)) (forall @t33 (=> (_ @t31 @t43) (= @t40 (_ (_ tptp.nth_a @t48) @t24)))))))) % 0.42/0.78 (assume @p7 (forall (@list @t51 @t2 @t53) (=> @t56 (= @t54 @t52)))) % 0.42/0.78 (assume @p8 (forall (@list @t51 @t15 @t58) (=> @t61 (= @t60 @t57)))) % 0.42/0.78 (assume @p9 (forall @t69 (=> @t68 (=> (_ @t67 @t63) (_ (_ tptp.ord_less_nat @t66) @t65))))) % 0.42/0.78 (assume @p10 (forall @t74 (=> (_ @t73 @t30) (_ (_ tptp.ord_less_nat @t72) @t30)))) % 0.42/0.78 (assume @p11 (forall @t79 (=> @t78 (_ @t76 @t70)))) % 0.42/0.78 (assume @p12 (forall @t86 (=> @t85 (=> @t81 @t80)))) % 0.42/0.78 (assume @p13 (forall @t86 (=> @t85 (=> (_ @t55 @t30) @t80)))) % 0.42/0.78 (assume @p14 (forall @t86 (=> (_ (_ tptp.ord_less_nat @t84) @t83) @t87))) % 0.42/0.78 (assume @p15 (forall @t95 (=> @t94 (=> @t89 @t80)))) % 0.42/0.78 (assume @p16 (forall @t105 (=> @t104 (=> @t102 @t99)))) % 0.42/0.78 (assume @p17 (forall @t115 (=> (forall @t114 (=> (not @t113) (exists @t112 (and @t111 (not @t109))))) @t107))) % 0.42/0.78 (assume @p18 (forall @t115 (=> (forall @t114 (=> (forall @t112 (=> @t111 @t109)) @t113)) @t107))) % 0.42/0.78 (assume @p19 (forall @t116 (not (_ @t55 @t51)))) % 0.42/0.78 (assume @p20 (forall (@list @t118 @t117) (=> (_ (_ tptp.ord_less_nat @t118) @t117) (not (= @t118 @t117))))) % 0.42/0.78 (assume @p21 (forall (@list @t51 @t62) (=> @t87 @t119))) % 0.42/0.78 (assume @p22 (forall @t120 (= @t119 (or @t68 @t87)))) % 0.42/0.78 (assume @p23 (forall (@list @t122 @t121) (=> (not (= (_ tptp.size_size_list_nat @t122) (_ tptp.size_size_list_nat @t121))) (not (= @t122 @t121))))) % 0.42/0.78 (assume @p24 (forall (@list @t124 @t123) (=> (not (= (_ tptp.size_size_list_a @t124) (_ tptp.size_size_list_a @t123))) (not (= @t124 @t123))))) % 0.42/0.78 (assume @p25 (forall @t13 (=> (not @t12) (not @t3)))) % 0.42/0.78 (assume @p26 (forall @t23 (=> (not @t22) (not @t16)))) % 0.42/0.78 (assume @p27 (forall @t116 (exists @t127 (= @t126 @t51)))) % 0.42/0.78 (assume @p28 (forall @t116 (exists @t130 (= @t129 @t51)))) % 0.42/0.78 (assume @p29 (forall (@list @t62 @t51 @t30) (=> @t80 @t94))) % 0.42/0.78 (assume @p30 (forall @t132 (= (_ (_ tptp.minus_minus_nat (_ @t131 @t70)) @t30) (_ (_ tptp.minus_minus_nat (_ @t131 @t30)) @t70)))) % 0.42/0.78 (assume @p31 (forall (@list @t133 @t2) (=> (forall @t127 (=> (forall (@list @t134) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_nat @t134)) @t126) (_ @t133 @t134))) (_ @t133 @t125))) (_ @t133 @t2)))) % 0.42/0.78 (assume @p32 (forall (@list @t135 @t15) (=> (forall @t130 (=> (forall (@list @t136) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t136)) @t129) (_ @t135 @t136))) (_ @t135 @t128))) (_ @t135 @t15)))) % 0.42/0.78 (assume @p33 (forall (@list @t51 @t30 @t62) (=> (_ (_ tptp.ord_less_nat @t91) @t93) @t87))) % 0.42/0.78 (assume @p34 (forall @t95 (=> @t94 (=> (_ @t88 @t51) @t80)))) % 0.42/0.78 (assume @p35 (forall (@list @t2 @t51 @t53) (=> @t139 (= @t54 (_ @t53 @t137))))) % 0.42/0.78 (assume @p36 (forall (@list @t15 @t51 @t58) (=> @t142 (= @t60 (_ @t58 @t140))))) % 0.42/0.78 (assume @p37 (forall @t149 (and @t148 (=> @t147 @t146)))) % 0.42/0.78 (assume @p38 (forall @t156 (and @t155 (=> @t154 @t153)))) % 0.42/0.78 (assume @p39 (forall @t162 (=> @t161 (= (_ @t160 @t75) @t96)))) % 0.42/0.78 (assume @p40 (forall @t169 (=> @t168 (= (_ @t167 @t75) @t163)))) % 0.42/0.78 (assume @p41 (forall @t172 (=> (_ @t55 @t171) (= (_ (_ tptp.nth_nat @t170) @t51) @t52)))) % 0.42/0.78 (assume @p42 (forall @t175 (=> (_ @t55 @t174) (= (_ (_ tptp.nth_a @t173) @t51) @t57)))) % 0.42/0.78 (assume @p43 (forall (@list @t176 @t177) (= (_ (_ tptp.member_a @t176) (_ tptp.collect_a @t177)) (_ @t177 @t176)))) % 0.42/0.78 (assume @p44 (forall (@list @t178) (= (_ tptp.collect_a (lambda @t181 (_ @t180 @t178))) @t178))) % 0.42/0.78 (assume @p45 (forall (@list @t184 @t183 @t182) (= (_ (_ tptp.append_a (_ @t185 @t183)) @t182) (_ @t185 (_ (_ tptp.append_a @t183) @t182))))) % 0.42/0.78 (assume @p46 (forall @t188 (= (_ (_ tptp.append_a @t151) @t186) (_ @t150 (_ @t187 @t186))))) % 0.42/0.78 (assume @p47 (forall (@list @t14 @t15 @t186) (= (= (_ @t187 @t15) (_ @t190 @t15)) @t189))) % 0.42/0.78 (assume @p48 (forall @t188 (= (= @t151 (_ @t150 @t186)) @t189))) % 0.42/0.78 (assume @p49 (forall (@list @t15 @t75 @t163 @t191) (= (_ (_ @t192 @t75) @t191) (_ @t165 @t191)))) % 0.42/0.78 (assume @p50 (forall (@list @t75 @t51) (=> (_ @t193 @t51) (= (_ @t90 (_ @t90 @t75)) @t75)))) % 0.42/0.78 (assume @p51 (forall (@list @t2 @t1 @t195 @t194) (=> (or @t12 (= (_ tptp.size_size_list_nat @t195) (_ tptp.size_size_list_nat @t194))) (= (= (_ @t143 @t195) (_ (_ tptp.append_nat @t1) @t194)) (and @t3 (= @t195 @t194)))))) % 0.42/0.78 (assume @p52 (forall (@list @t15 @t14 @t197 @t196) (=> (or @t22 (= (_ tptp.size_size_list_a @t197) (_ tptp.size_size_list_a @t196))) (= (= (_ @t150 @t197) (_ @t187 @t196)) (and @t16 (= @t197 @t196)))))) % 0.42/0.78 (assume @p53 (forall @t198 (= (_ tptp.size_size_list_nat @t159) @t8))) % 0.42/0.78 (assume @p54 (forall @t199 (= (_ tptp.size_size_list_a @t166) @t20))) % 0.42/0.78 (assume @p55 (forall (@list @t2 @t75) (= (_ @t158 @t200) @t2))) % 0.42/0.78 (assume @p56 (forall (@list @t15 @t75) (= (_ @t165 @t201) @t15))) % 0.42/0.78 (assume @p57 (forall (@list @t75 @t70 @t2 @t96) @t206)) % 0.42/0.78 (assume @p58 (forall (@list @t75 @t70 @t15 @t163) @t209)) % 0.42/0.78 (assume @p59 (forall (@list @t177 @t15 @t14) (= (_ @t210 @t151) (or (_ @t210 @t15) (_ @t210 @t14))))) % 0.42/0.78 (assume @p60 (forall (@list @t15 @t14 @t58) (= (_ @t59 (_ (_ tptp.listIn1312259492pend_a @t14) @t58)) (_ (_ tptp.listIn1312259492pend_a @t151) @t58)))) % 0.42/0.78 (assume @p61 (forall @t198 (=> (_ @t138 @t75) @t211))) % 0.42/0.78 (assume @p62 (forall @t199 (=> (_ @t141 @t75) @t212))) % 0.42/0.78 (assume @p63 (forall @t116 (_ @t213 @t51))) % 0.42/0.78 (assume @p64 (forall @t132 (=> @t216 (=> @t215 @t214)))) % 0.42/0.78 (assume @p65 (forall @t120 (=> @t80 @t218))) % 0.42/0.78 (assume @p66 (forall @t120 (=> @t218 (=> @t219 @t80)))) % 0.42/0.78 (assume @p67 (forall @t120 (or @t218 @t219))) % 0.42/0.78 (assume @p68 (forall (@list @t75 @t221 @t15 @t163 @t220) (=> (not (= @t75 @t221)) (= (_ (_ @t192 @t221) @t220) (_ (_ (_ tptp.list_update_a (_ (_ @t164 @t221) @t220)) @t75) @t163))))) % 0.42/0.78 (assume @p69 (forall (@list @t15 @t222 @t186 @t14 @t197) (=> (= (_ @t150 @t222) @t186) (=> (= @t14 (_ (_ tptp.append_a @t222) @t197)) (= @t151 (_ @t190 @t197)))))) % 0.42/0.78 (assume @p70 (forall (@list @t106 @t30 @t229) (=> (_ @t106 @t30) (=> (forall (@list @t230) (=> (_ @t106 @t230) (_ (_ tptp.ord_less_eq_nat @t230) @t229))) (exists @t228 (and @t227 (forall @t226 (=> @t225 (_ (_ tptp.ord_less_eq_nat @t224) @t223))))))))) % 0.42/0.78 (assume @p71 (forall (@list @t15 @t14 @t186 @t231) (= (= @t151 (_ @t190 @t231)) (exists (@list @t232) (or (and (= @t15 (_ @t190 @t232)) (= (_ @t233 @t14) @t231)) (and (= (_ @t150 @t232) @t186) (= @t14 (_ @t233 @t231)))))))) % 0.42/0.78 (assume @p72 (forall @t238 (=> @t237 (forall (@list @t234) (=> (_ (_ tptp.ord_less_nat @t234) @t8) (forall @t236 (=> (_ (_ tptp.ord_less_eq_nat @t235) @t234) (_ (_ tptp.ord_less_eq_nat (_ @t6 @t235)) (_ @t6 @t234))))))))) % 0.42/0.78 (assume @p73 (forall (@list @t75 @t2 @t1 @t96) (=> @t161 (= (_ (_ @t239 @t75) @t96) (_ (_ tptp.append_nat @t159) @t1))))) % 0.42/0.78 (assume @p74 (forall (@list @t75 @t15 @t14 @t163) (=> @t168 (= (_ (_ @t240 @t75) @t163) (_ (_ tptp.append_a @t166) @t14))))) % 0.42/0.78 (assume @p75 (forall (@list @t2 @t51 @t1) (=> @t139 @t146))) % 0.42/0.78 (assume @p76 (forall (@list @t15 @t51 @t14) (=> @t142 @t153))) % 0.42/0.78 (assume @p77 (= tptp.ord_less_nat (lambda @t247 (forall @t246 (=> (_ @t245 @t241) @t243))))) % 0.42/0.78 (assume @p78 (= tptp.ord_less_nat (lambda @t249 (forall @t246 (=> (_ @t248 @t244) @t243))))) % 0.42/0.78 (assume @p79 (= tptp.ord_less_eq_nat (lambda @t247 (forall @t246 (=> (_ @t250 @t241) @t243))))) % 0.42/0.78 (assume @p80 (= tptp.ord_less_nat (lambda @t253 (and (_ (_ tptp.ord_less_eq_nat @t251) @t242) (not @t252))))) % 0.42/0.78 (assume @p81 (forall @t120 (=> @t68 @t218))) % 0.42/0.78 (assume @p82 (= tptp.ord_less_eq_nat (lambda @t253 (or @t254 @t252)))) % 0.42/0.78 (assume @p83 (forall @t120 (=> (or @t68 @t80) @t218))) % 0.42/0.78 (assume @p84 (forall @t120 (=> @t218 (=> @t119 @t68)))) % 0.42/0.78 (assume @p85 (forall (@list @t53 @t75 @t70) (=> (forall (@list @t4 @t255) (=> (_ @t9 @t255) (_ (_ tptp.ord_less_nat (_ @t53 @t4)) (_ @t53 @t255)))) (=> @t216 (_ (_ tptp.ord_less_eq_nat (_ @t53 @t75)) (_ @t53 @t70)))))) % 0.42/0.78 (assume @p86 (forall @t86 (=> @t258 (=> @t257 (= @t94 @t80))))) % 0.42/0.78 (assume @p87 (forall @t86 (=> @t258 (=> @t257 (= @t259 @t218))))) % 0.42/0.78 (assume @p88 (forall @t86 (=> @t258 (=> @t257 (= (_ (_ tptp.minus_minus_nat @t93) @t91) @t260))))) % 0.42/0.78 (assume @p89 (forall @t69 (=> @t218 (_ (_ tptp.ord_less_eq_nat (_ @t92 @t63)) (_ @t90 @t63))))) % 0.42/0.78 (assume @p90 (forall @t120 (_ (_ tptp.ord_less_eq_nat @t260) @t62))) % 0.42/0.78 (assume @p91 (forall @t269 (=> @t268 (=> @t266 (= (_ (_ tptp.ord_less_eq_nat (_ @t265 @t261)) (_ @t265 @t229)) @t263))))) % 0.42/0.78 (assume @p92 (forall @t69 (=> @t218 (_ (_ tptp.ord_less_eq_nat @t66) @t65)))) % 0.42/0.78 (assume @p93 (forall (@list @t75 @t30 @t70) (=> @t214 (=> @t215 (= (_ (_ tptp.ord_less_eq_nat (_ @t82 @t70)) @t75) (_ (_ tptp.ord_less_eq_nat (_ @t82 @t75)) @t70)))))) % 0.42/0.78 (assume @p94 (forall @t79 (=> @t270 @t216))) % 0.42/0.78 (assume @p95 (forall @t74 (=> @t215 (_ (_ tptp.ord_less_eq_nat @t72) @t30)))) % 0.42/0.78 (assume @p96 (forall @t95 (=> (_ @t217 @t30) (=> @t271 (= @t85 @t80))))) % 0.42/0.78 (assume @p97 (forall @t272 (=> @t270 (=> @t219 (_ @t193 @t72))))) % 0.42/0.78 (assume @p98 (forall @t86 (=> @t273 (=> @t271 @t219)))) % 0.42/0.78 (assume @p99 (forall @t95 (=> @t259 (=> @t257 @t218)))) % 0.42/0.78 (assume @p100 (forall (@list @t51 @t2 @t1 @t96) (and (=> @t56 (= @t274 (_ (_ tptp.append_nat (_ (_ @t157 @t51) @t96)) @t1))) (=> @t147 (= @t274 (_ @t143 (_ (_ (_ tptp.list_update_nat @t1) @t137) @t96))))))) % 0.42/0.78 (assume @p101 (forall (@list @t51 @t15 @t14 @t163) (and (=> @t61 (= @t275 (_ (_ tptp.append_a (_ (_ @t164 @t51) @t163)) @t14))) (=> @t154 (= @t275 (_ @t150 (_ (_ (_ tptp.list_update_a @t14) @t140) @t163))))))) % 0.42/0.78 (assume @p102 (forall @t149 @t148)) % 0.42/0.78 (assume @p103 (forall @t156 @t155)) % 0.42/0.78 (assume @p104 (forall @t86 (=> @t258 (=> @t257 (= (_ (_ tptp.ord_less_nat @t93) @t91) @t68))))) % 0.42/0.78 (assume @p105 (forall @t282 (=> @t281 (=> @t279 (_ (_ tptp.ord_less_nat @t277) (_ (_ tptp.minus_minus_nat @t229) @t264)))))) % 0.42/0.78 (assume @p106 (forall @t272 (=> @t78 (=> @t219 (_ @t76 @t72))))) % 0.42/0.78 (assume @p107 (forall @t86 (=> @t273 (=> @t81 @t219)))) % 0.42/0.78 (assume @p108 (forall @t95 (=> @t259 (=> @t89 @t218)))) % 0.42/0.78 (assume @p109 (forall (@list @t75 @t2 @t70 @t96) (=> @t161 (and (=> @t204 (= @t203 @t96)) @t206)))) % 0.42/0.78 (assume @p110 (forall (@list @t75 @t15 @t70 @t163) (=> @t168 (and (=> @t204 (= @t208 @t163)) @t209)))) % 0.42/0.78 (assume @p111 (forall @t162 (=> @t161 (= @t211 (= @t200 @t96))))) % 0.42/0.78 (assume @p112 (forall @t169 (=> @t168 (= @t212 (= @t201 @t163))))) % 0.42/0.78 (assume @p113 (forall @t269 (= (_ (_ tptp.minus_minus_nat @t277) @t229) (_ (_ tptp.minus_minus_nat (_ @t276 @t229)) @t264)))) % 0.42/0.78 (assume @p114 (= tptp.list_desc_nat (lambda @t35 (forall @t288 (=> @t287 (forall @t33 (=> @t286 @t285))))))) % 0.42/0.78 (assume @p115 (= tptp.list_asc_nat (lambda @t35 (forall @t288 (=> @t287 (forall @t33 (=> @t286 @t289))))))) % 0.42/0.78 (assume @p116 (forall @t291 (_ @t290 @t96))) % 0.42/0.78 (assume @p117 (forall (@list @t51 @t106 @t62) (=> (forall @t294 (=> (_ @t55 @t292) @t293)) (=> (forall @t294 (=> (_ (_ tptp.ord_less_eq_nat @t292) @t51) (=> (forall @t236 (=> (_ (_ tptp.ord_less_nat @t292) @t235) (_ @t106 @t235))) @t293))) (_ @t106 @t62))))) % 0.42/0.78 (assume @p118 (forall @t302 (exists @t301 (forall @t300 (=> @t299 (not @t296)))))) % 0.42/0.78 (assume @p119 (forall @t311 (=> @t310 @t308))) % 0.42/0.78 (assume @p120 (forall @t316 (=> @t315 (=> @t314 @t313)))) % 0.42/0.78 (assume @p121 (forall @t311 (=> @t317 @t308))) % 0.42/0.78 (assume @p122 (forall @t316 (=> @t315 (=> @t318 @t313)))) % 0.42/0.78 (assume @p123 (= @t325 (lambda @t322 (and @t321 @t320)))) % 0.42/0.78 (assume @p124 (forall @t105 (=> @t328 (=> @t327 @t103)))) % 0.42/0.78 (assume @p125 (forall @t105 (or @t328 @t327))) % 0.42/0.78 (assume @p126 (forall @t105 (=> @t103 @t328))) % 0.42/0.78 (assume @p127 (forall @t105 (=> @t329 @t327))) % 0.42/0.78 (assume @p128 (forall @t282 (=> @t315 @t330))) % 0.42/0.78 (assume @p129 (forall @t338 (=> (=> @t328 (not @t334)) (=> (=> @t327 (not @t337)) (=> (=> @t337 (not @t336)) (=> (=> @t336 @t335) (=> (=> @t334 (not @t333)) (not (=> @t333 @t329))))))))) % 0.42/0.78 (assume @p130 (forall @t340 (=> @t327 @t339))) % 0.42/0.78 (assume @p131 (= @t325 (lambda @t344 (and @t343 @t342)))) % 0.42/0.78 (assume @p132 (forall @t282 (=> @t345 @t330))) % 0.42/0.78 (assume @p133 (forall @t282 (=> @t315 (=> @t346 @t268)))) % 0.42/0.78 (assume @p134 (forall @t347 (=> @t315 (=> @t263 @t345)))) % 0.42/0.78 (assume @p135 (forall @t338 (=> @t328 (=> @t334 @t337)))) % 0.42/0.78 (assume @p136 (forall @t348 (_ @t267 @t261))) % 0.42/0.78 (assume @p137 (forall @t355 (=> (forall @t353 (=> (_ (_ tptp.ord_less_eq_nat @t350) @t349) @t352)) @t354))) % 0.42/0.78 (assume @p138 (forall @t357 (=> @t263 (=> @t356 @t279)))) % 0.42/0.78 (assume @p139 (= @t325 (lambda @t344 (and @t342 @t343)))) % 0.42/0.78 (assume @p140 (forall @t358 (=> @t263 (=> @t315 @t345)))) % 0.42/0.78 (assume @p141 (forall @t358 (=> @t361 @t359))) % 0.42/0.78 (assume @p142 (forall @t347 (=> @t281 @t359))) % 0.42/0.78 (assume @p143 (forall @t105 (= @t102 (or @t99 @t103)))) % 0.42/0.78 (assume @p144 (forall @t357 (=> @t361 @t364))) % 0.42/0.78 (assume @p145 (forall @t355 (=> (forall @t353 (=> (_ (_ tptp.ord_less_nat @t350) @t349) @t352)) (=> (forall (@list @t350) (_ @t351 @t350)) @t354)))) % 0.42/0.78 (assume @p146 (= (lambda (@list @t367) (exists @t37 (_ @t367 @t36))) (lambda (@list @t365) (exists @t366 (and (_ @t365 @t242) (forall (@list @t251) (=> @t254 (not (_ @t365 @t251))))))))) % 0.42/0.78 (assume @p147 (forall @t105 (=> @t101 @t368))) % 0.42/0.78 (assume @p148 (forall @t282 (=> @t281 @t371))) % 0.42/0.78 (assume @p149 (forall @t348 (not (_ @t280 @t261)))) % 0.42/0.78 (assume @p150 (forall @t105 (=> @t102 (=> @t104 @t99)))) % 0.42/0.78 (assume @p151 (forall (@list @t96 @t97 @t372) (=> @t101 (=> @t99 @t372)))) % 0.42/0.78 (assume @p152 (forall @t105 (=> @t101 (not (= @t97 @t96))))) % 0.42/0.78 (assume @p153 (forall @t340 (=> @t368 @t373))) % 0.42/0.78 (assume @p154 (forall (@list @t106 @t261) (=> (forall @t228 (=> (forall @t226 (=> (_ (_ tptp.ord_less_nat @t224) @t223) @t225)) @t227)) @t374))) % 0.42/0.78 (assume @p155 (forall @t105 (=> @t101 @t104))) % 0.42/0.78 (assume @p156 (forall @t358 (=> @t361 (not @t281)))) % 0.42/0.78 (assume @p157 (forall @t282 (=> @t281 (=> @t346 @t369)))) % 0.42/0.78 (assume @p158 (forall @t282 (=> @t345 @t371))) % 0.42/0.78 (assume @p159 (forall @t291 (not (_ @t100 @t96)))) % 0.42/0.78 (assume @p160 (forall @t105 (or @t101 @t103 @t99))) % 0.42/0.78 (assume @p161 (forall @t338 (=> @t101 @t376))) % 0.42/0.78 (assume @p162 (forall @t347 (=> @t281 (not @t361)))) % 0.42/0.78 (assume @p163 (forall @t105 (= @t104 (or @t101 @t99)))) % 0.42/0.78 (assume @p164 (forall @t291 (exists (@list @t377) (_ @t100 @t377)))) % 0.42/0.78 (assume @p165 (forall @t316 (=> @t281 (=> @t382 @t381)))) % 0.42/0.78 (assume @p166 (forall @t311 (=> @t385 @t384))) % 0.42/0.78 (assume @p167 (forall @t316 (=> @t281 (=> @t318 @t381)))) % 0.42/0.78 (assume @p168 (forall @t311 (=> @t317 @t384))) % 0.42/0.78 (assume @p169 (forall @t402 (=> @t401 (=> @t399 (exists @t301 (forall @t300 (=> @t394 @t393))))))) % 0.42/0.78 (assume @p170 (forall @t402 (=> @t401 (=> @t399 (exists @t301 (forall @t300 (=> @t394 @t403))))))) % 0.42/0.78 (assume @p171 (forall @t302 (exists @t301 (forall @t300 (=> @t394 @t404))))) % 0.42/0.78 (assume @p172 (forall @t302 (exists @t301 (forall @t300 (=> @t394 (not @t405)))))) % 0.42/0.78 (assume @p173 (forall @t302 (exists @t301 (forall @t300 (=> @t394 @t406))))) % 0.42/0.78 (assume @p174 (forall @t402 (=> @t409 (=> @t408 (exists @t301 (forall @t300 (=> @t299 @t393))))))) % 0.42/0.78 (assume @p175 (forall @t402 (=> @t409 (=> @t408 (exists @t301 (forall @t300 (=> @t299 @t403))))))) % 0.42/0.78 (assume @p176 (forall @t302 (exists @t301 (forall @t300 (=> @t299 @t404))))) % 0.42/0.78 (assume @p177 (forall @t302 (exists @t301 (forall @t300 (=> @t299 @t405))))) % 0.42/0.78 (assume @p178 (forall @t302 (exists @t301 (forall @t300 (=> @t299 (not @t406)))))) % 0.42/0.78 (assume @p179 (forall @t238 (=> @t237 (_ tptp.list_asc_nat @t2)))) % 0.42/0.78 (assume @p180 (forall @t238 (=> (_ tptp.list_strict_desc_nat @t2) (_ tptp.list_desc_nat @t2)))) % 0.42/0.78 (assume @p181 (forall @t347 (=> @t359 (=> @t315 @t281)))) % 0.42/0.78 (assume @p182 (forall @t358 (=> @t361 @t263))) % 0.42/0.78 (assume @p183 (= tptp.ord_less_nat (lambda @t412 (and @t342 @t411)))) % 0.42/0.78 (assume @p184 (= tptp.ord_less_eq_nat (lambda @t412 (or (_ (_ tptp.ord_less_nat @t341) @t244) @t410)))) % 0.42/0.78 (assume @p185 (forall @t347 (=> @t281 @t315))) % 0.42/0.78 (assume @p186 (forall @t357 (=> @t361 (=> @t356 @t363)))) % 0.42/0.78 (assume @p187 (forall @t357 (=> @t263 @t364))) % 0.42/0.78 (assume @p188 (= tptp.ord_less_nat (lambda @t344 (and @t343 @t411)))) % 0.42/0.78 (assume @p189 (= tptp.ord_less_eq_nat (lambda @t344 (or (_ @t250 @t341) @t410)))) % 0.42/0.78 (assume @p190 (forall @t282 (=> @t281 (=> @t266 @t369)))) % 0.42/0.78 (assume @p191 (forall @t282 (=> @t315 @t371))) % 0.42/0.78 (assume @p192 (forall @t340 (=> @t335 @t101))) % 0.42/0.78 (assume @p193 (= tptp.ord_less_nat (lambda @t322 (and @t321 (not @t320))))) % 0.42/0.78 (assume @p194 (forall @t105 (=> @t328 (or @t101 @t103)))) % 0.42/0.78 (assume @p195 (forall @t105 (or @t328 @t99))) % 0.42/0.78 (assume @p196 (forall @t338 (=> @t101 (=> @t334 @t375)))) % 0.42/0.78 (assume @p197 (forall @t338 (=> @t328 @t376))) % 0.42/0.78 (assume @p198 (forall @t105 (=> @t101 @t328))) % 0.42/0.78 (assume @p199 (forall @t105 (=> @t328 @t373))) % 0.42/0.78 (assume @p200 (forall @t105 (=> @t102 @t339))) % 0.42/0.78 (assume @p201 (forall @t347 (=> @t315 (=> @t359 @t281)))) % 0.42/0.78 (assume @p202 (forall @t105 (= @t102 @t327))) % 0.42/0.78 (assume @p203 (forall @t105 (= @t329 @t99))) % 0.42/0.78 (assume @p204 (forall @t316 (=> @t281 (=> @t314 @t381)))) % 0.42/0.78 (assume @p205 (forall @t311 (=> @t385 (=> @t266 (=> @t307 @t383))))) % 0.42/0.78 (assume @p206 (forall @t316 (=> @t315 (=> @t382 (=> @t307 @t378))))) % 0.42/0.78 (assume @p207 (forall @t311 (=> @t310 @t384))) % 0.42/0.78 (assume @p208 (= tptp.ord_less_nat (lambda @t322 (and @t321 (not @t413))))) % 0.42/0.78 (assume @p209 (= tptp.ord_less_eq_nat (lambda @t322 (or (_ @t414 @t319) @t413)))) % 0.42/0.78 (assume @p210 (forall @t105 (=> @t102 @t327))) % 0.42/0.78 (assume @p211 (forall @t340 (=> @t327 @t102))) % 0.42/0.78 (assume @p212 (forall @t302 (exists @t301 (forall @t300 (=> @t394 (not @t415)))))) % 0.42/0.78 (assume @p213 (forall @t302 (exists @t301 (forall @t300 (=> @t394 @t296))))) % 0.42/0.78 (assume @p214 (forall @t302 (exists @t301 (forall @t300 (=> @t299 @t415))))) % 0.42/0.78 (assume @p215 (forall (@list @t261 @t229 @t106) (=> @t281 (=> @t374 (=> (not (_ @t106 @t229)) (exists (@list @t416) (and (_ @t267 @t416) (_ (_ tptp.ord_less_eq_nat @t416) @t229) (forall @t300 (=> (and (_ @t267 @t295) (_ @t298 @t416)) @t392)) (forall (@list @t417) (=> (forall @t228 (=> (and (_ @t267 @t223) (_ @t379 @t417)) @t227)) (_ (_ tptp.ord_less_eq_nat @t417) @t416)))))))))) % 0.42/0.78 (assume @p216 (forall (@list @t418 @t419) (= (not (_ (_ tptp.ord_less_eq_nat @t418) @t419)) (_ (_ tptp.ord_less_nat @t419) @t418)))) % 0.42/0.78 (assume @p217 (forall (@list @t75 @t2 @t70) (=> @t161 (=> (_ @t73 @t8) (= (_ tptp.set_nat2 (_ (_ (_ tptp.list_update_nat (_ @t158 @t202)) @t70) @t200)) @t420))))) % 0.42/0.78 (assume @p218 (forall (@list @t75 @t15 @t70) (=> @t168 (=> (_ @t73 @t20) (= (_ tptp.set_a2 (_ (_ (_ tptp.list_update_a (_ @t165 @t207)) @t70) @t201)) @t421))))) % 0.42/0.78 (assume @p219 (forall (@list @t30 @t2 @t96) (and (=> @t424 (= @t422 @t170)) (=> (not @t424) (= @t422 (_ (_ (_ tptp.list_update_nat @t170) @t30) @t96)))))) % 0.42/0.78 (assume @p220 (forall (@list @t30 @t15 @t163) (and (=> @t427 (= @t425 @t173)) (=> (not @t427) (= @t425 (_ (_ (_ tptp.list_update_a @t173) @t30) @t163)))))) % 0.42/0.78 (assume @p221 (forall @t238 (= @t171 @t423))) % 0.42/0.78 (assume @p222 (forall (@list @t15) (= @t174 @t426))) % 0.42/0.78 (assume @p223 (forall (@list @t15 @t428) (= (_ @t430 @t428) (forall @t181 (=> @t429 (_ @t180 @t428)))))) % 0.42/0.78 (assume @p224 (forall (@list @t15 @t178 @t163 @t75) (=> (_ @t430 @t178) (=> (_ @t431 @t178) (_ (_ tptp.ord_less_eq_set_a (_ tptp.set_a2 @t166)) @t178))))) % 0.42/0.78 (assume @p225 (forall @t434 (=> @t433 @t432))) % 0.42/0.78 (assume @p226 (forall @t291 (= (= tptp.one_one_nat @t96) (= @t96 tptp.one_one_nat)))) % 0.42/0.78 (assume @p227 (forall (@list @t15 @t14 @t436 @t435) (=> @t16 (=> (forall @t439 (=> (_ @t438 (_ tptp.set_a2 @t14)) (= (_ @t436 @t437) (_ @t435 @t437)))) (= (_ (_ tptp.list_ex_a @t436) @t15) (_ (_ tptp.list_ex_a @t435) @t14)))))) % 0.42/0.78 (assume @p228 (forall (@list @t163 @t15 @t14) (=> (or @t433 (_ @t431 (_ tptp.set_a2 (_ tptp.butlast_a @t14)))) (_ @t431 (_ tptp.set_a2 (_ tptp.butlast_a @t151)))))) % 0.42/0.78 (assume @p229 (forall @t172 (=> @t56 (_ (_ tptp.member_nat @t52) @t420)))) % 0.42/0.78 (assume @p230 (forall @t175 (=> @t61 (_ (_ tptp.member_a @t57) @t421)))) % 0.42/0.78 (assume @p231 (forall (@list @t51 @t2 @t106) (=> @t56 (=> (forall @t228 (=> (_ (_ tptp.member_nat @t223) @t420) @t227)) (_ @t106 @t52))))) % 0.42/0.78 (assume @p232 (forall (@list @t51 @t15 @t177) (=> @t61 (=> (forall @t439 (=> (_ @t438 @t421) (_ @t177 @t437))) (_ @t177 @t57))))) % 0.42/0.78 (assume @p233 (forall (@list @t96 @t2) (= @t442 (exists @t33 (and @t441 (= @t440 @t96)))))) % 0.42/0.78 (assume @p234 (forall @t434 (= @t432 (exists @t33 (and @t444 (= @t443 @t163)))))) % 0.42/0.78 (assume @p235 (forall (@list @t2 @t106 @t96) (=> (forall @t11 (=> @t10 (_ @t106 @t7))) (=> @t442 (_ @t106 @t96))))) % 0.42/0.78 (assume @p236 (forall (@list @t15 @t177 @t163) (=> (forall @t11 (=> @t21 (_ @t177 @t19))) (=> @t432 (_ @t177 @t163))))) % 0.42/0.78 (assume @p237 (forall (@list @t2 @t106) (= (forall @t246 (=> (_ (_ tptp.member_nat @t241) @t420) (_ @t106 @t241))) (forall @t33 (=> @t441 (_ @t106 @t440)))))) % 0.42/0.78 (assume @p238 (forall (@list @t15 @t177) (= (forall @t181 (=> @t429 (_ @t177 @t179))) (forall @t33 (=> @t444 (_ @t177 @t443)))))) % 0.42/0.78 (assume @p239 (forall @t347 (or @t345 (not @t315) (not @t263)))) % 0.42/0.78 (assume @p240 (forall @t445 (= (_ (_ (_ tptp.if_a false) @t163) @t191) @t191))) % 0.42/0.78 (assume @p241 (forall @t445 (= (_ (_ (_ tptp.if_a true) @t163) @t191) @t163))) % 0.42/0.78 (assume @p242 (forall (@list @t372) (or (= @t372 true) (= @t372 false)))) % 0.42/0.78 (assume @p243 (forall @t105 (= (_ (_ (_ tptp.if_nat false) @t96) @t97) @t97))) % 0.42/0.78 (assume @p244 (forall @t105 (= (_ (_ (_ tptp.if_nat true) @t96) @t97) @t96))) % 0.42/0.78 (assume @p245 (= @t447 @t446)) % 0.42/0.78 (assume @p246 @t466) % 0.42/0.78 (assume @p247 @t468) % 0.42/0.78 (assume @p248 @t472) % 0.42/0.78 (assume @p249 true) % 0.42/0.78 (step @p250 (= tptp.listIn923761578nd_nat @t478) :rule refl :args (@t478)) % 0.42/0.78 (step @p251 (= tptp.listIn1312259492pend_a @t482) :rule refl :args (@t482)) % 0.42/0.78 (step @p252 (= tptp.list_strict_desc_nat @t483) :rule refl :args (@t483)) % 0.42/0.78 (step @p253 (= tptp.list_strict_asc_nat @t484) :rule refl :args (@t484)) % 0.42/0.78 (step @p254 (= tptp.list_ex_nat @t485) :rule refl :args (@t485)) % 0.42/0.78 (step @p255 (= tptp.list_ex_a @t487) :rule refl :args (@t487)) % 0.42/0.78 (step @p256 (= tptp.ord_less_eq_nat @t488) :rule refl :args (@t488)) % 0.42/0.78 (step @p257 (= tptp.list_desc_nat @t490) :rule refl :args (@t490)) % 0.42/0.78 (step @p258 (= tptp.list_asc_nat @t491) :rule refl :args (@t491)) % 0.42/0.78 (step @p259 :rule refl :args ((tptp.ord_less_nat tptp.x @t446))) % 0.42/0.78 (step @p260 :rule refl :args (@t492)) % 0.42/0.78 (step @p261 :rule refl :args (tptp.x)) % 0.42/0.78 (step @p262 :rule cong :premises (@p261 @p260) :args (@t493)) % 0.42/0.78 (step @p263 :rule trans :premises (@p262 @p259)) % 0.42/0.78 (step @p264 :rule refl :args (@t467)) % 0.42/0.78 (step @p265 :rule ho_cong :premises (@p264 @p260)) % 0.42/0.78 (step @p266 :rule cong :premises (@p265 @p263) :args ((= (_ @t467 @t492) @t493))) % 0.42/0.78 (step @p267 :rule symm :premises (@p266)) % 0.42/0.78 (step @p268 :rule refl :args (@t468)) % 0.42/0.78 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 0.42/0.78 (step @p270 :rule refl :args (@t446)) % 0.42/0.78 (step @p271 :rule cong :premises (@p270 @p260) :args ((= @t446 @t492))) % 0.42/0.78 (step @p272 :rule symm :premises (@p271)) % 0.42/0.78 (step @p273 :rule eq_resolve :premises (@p270 @p272)) % 0.42/0.78 (step @p274 :rule refl :args (@t467)) % 0.42/0.78 (step @p275 :rule ho_cong :premises (@p274 @p273)) % 0.42/0.78 (step @p276 :rule trans :premises (@p275 @p269)) % 0.42/0.78 (step @p277 :rule eq_resolve :premises (@p247 @p276)) % 0.42/0.78 (step @p278 :rule refl :args ((tptp.f @t496))) % 0.42/0.78 (step @p279 :rule refl :args ((tptp.minus_minus_nat @t494 @t447))) % 0.42/0.78 (step @p280 :rule refl :args (@t497)) % 0.42/0.78 (step @p281 :rule refl :args (@t494)) % 0.42/0.78 (step @p282 :rule cong :premises (@p281 @p280) :args (@t498)) % 0.42/0.78 (step @p283 :rule trans :premises (@p282 @p279)) % 0.42/0.78 (step @p284 :rule cong :premises (@p283) :args (@t499)) % 0.42/0.78 (step @p285 :rule trans :premises (@p284 @p278)) % 0.42/0.78 (step @p286 :rule refl :args (tptp.f)) % 0.42/0.78 (step @p287 :rule ho_cong :premises (@p286 @p283)) % 0.42/0.78 (step @p288 :rule cong :premises (@p287 @p285) :args ((= (_ tptp.f @t498) @t499))) % 0.42/0.78 (step @p289 :rule symm :premises (@p288)) % 0.42/0.78 (step @p290 :rule refl :args (@t500)) % 0.42/0.78 (step @p291 :rule eq_resolve :premises (@p290 @p289)) % 0.42/0.78 (step @p292 :rule refl :args (@t495)) % 0.42/0.78 (step @p293 :rule ho_cong :premises (@p292 @p280)) % 0.42/0.78 (step @p294 :rule cong :premises (@p293 @p283) :args ((= (_ @t495 @t497) @t498))) % 0.42/0.78 (step @p295 :rule symm :premises (@p294)) % 0.42/0.78 (step @p296 :rule refl :args (@t496)) % 0.42/0.78 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 0.42/0.78 (step @p298 :rule refl :args (@t447)) % 0.42/0.78 (step @p299 :rule cong :premises (@p298 @p280) :args ((= @t447 @t497))) % 0.42/0.78 (step @p300 :rule symm :premises (@p299)) % 0.42/0.78 (step @p301 :rule eq_resolve :premises (@p298 @p300)) % 0.42/0.78 (step @p302 :rule ho_cong :premises (@p292 @p301)) % 0.42/0.78 (step @p303 :rule trans :premises (@p302 @p297)) % 0.42/0.78 (step @p304 :rule ho_cong :premises (@p286 @p303)) % 0.42/0.78 (step @p305 :rule trans :premises (@p304 @p291)) % 0.42/0.78 (step @p306 :rule refl :args ((tptp.g @t501))) % 0.42/0.78 (step @p307 :rule refl :args ((tptp.minus_minus_nat @t494 @t446))) % 0.42/0.78 (step @p308 :rule cong :premises (@p281 @p260) :args (@t502)) % 0.42/0.78 (step @p309 :rule trans :premises (@p308 @p307)) % 0.42/0.78 (step @p310 :rule cong :premises (@p309) :args (@t503)) % 0.42/0.78 (step @p311 :rule trans :premises (@p310 @p306)) % 0.42/0.78 (step @p312 :rule refl :args (tptp.g)) % 0.42/0.78 (step @p313 :rule ho_cong :premises (@p312 @p309)) % 0.42/0.78 (step @p314 :rule cong :premises (@p313 @p311) :args ((= (_ tptp.g @t502) @t503))) % 0.42/0.78 (step @p315 :rule symm :premises (@p314)) % 0.42/0.78 (step @p316 :rule refl :args (@t504)) % 0.42/0.78 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 0.42/0.78 (step @p318 :rule ho_cong :premises (@p292 @p260)) % 0.42/0.78 (step @p319 :rule cong :premises (@p318 @p309) :args ((= (_ @t495 @t492) @t502))) % 0.42/0.78 (step @p320 :rule symm :premises (@p319)) % 0.42/0.78 (step @p321 :rule refl :args (@t501)) % 0.42/0.78 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 0.42/0.78 (step @p323 :rule eq_resolve :premises (@p270 @p272)) % 0.42/0.78 (step @p324 :rule ho_cong :premises (@p292 @p323)) % 0.42/0.78 (step @p325 :rule trans :premises (@p324 @p322)) % 0.42/0.78 (step @p326 :rule ho_cong :premises (@p312 @p325)) % 0.42/0.78 (step @p327 :rule trans :premises (@p326 @p317)) % 0.42/0.78 (step @p328 :rule cong :premises (@p327 @p305) :args (@t505)) % 0.42/0.78 (step @p329 :rule refl :args ((tptp.ord_less_nat @t494 @t446))) % 0.42/0.78 (step @p330 :rule cong :premises (@p281 @p260) :args (@t506)) % 0.42/0.78 (step @p331 :rule trans :premises (@p330 @p329)) % 0.42/0.78 (step @p332 :rule refl :args (@t507)) % 0.42/0.78 (step @p333 :rule ho_cong :premises (@p332 @p260)) % 0.42/0.78 (step @p334 :rule cong :premises (@p333 @p331) :args ((= (_ @t507 @t492) @t506))) % 0.42/0.78 (step @p335 :rule symm :premises (@p334)) % 0.42/0.78 (step @p336 :rule refl :args (@t508)) % 0.42/0.78 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 0.42/0.78 (step @p338 :rule ho_cong :premises (@p332 @p323)) % 0.42/0.78 (step @p339 :rule trans :premises (@p338 @p337)) % 0.42/0.78 (step @p340 :rule nary_cong :premises (@p339 @p328) :args (@t509)) % 0.42/0.78 (step @p341 :rule refl :args (@t510)) % 0.42/0.78 (step @p342 :rule refl :args (@t511)) % 0.42/0.78 (step @p343 :rule cong :premises (@p342 @p341) :args ((= @t511 @t510))) % 0.42/0.78 (step @p344 :rule symm :premises (@p343)) % 0.42/0.78 (step @p345 :rule eq_resolve :premises (@p342 @p344)) % 0.42/0.78 (step @p346 :rule cong :premises (@p327 @p345) :args (@t512)) % 0.42/0.78 (step @p347 :rule cong :premises (@p339) :args (@t513)) % 0.42/0.78 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t514)) % 0.42/0.78 (step @p349 :rule nary_cong :premises (@p348 @p340) :args (@t515)) % 0.42/0.78 (step @p350 :rule nary_cong :premises (@p339 @p349) :args (@t516)) % 0.42/0.78 (step @p351 :rule cong :premises (@p350) :args (@t517)) % 0.42/0.78 (step @p352 :rule refl :args ((tptp.f @t520))) % 0.42/0.78 (step @p353 :rule refl :args ((tptp.minus_minus_nat @t518 @t447))) % 0.42/0.78 (step @p354 :rule refl :args (@t518)) % 0.42/0.78 (step @p355 :rule cong :premises (@p354 @p280) :args (@t521)) % 0.42/0.78 (step @p356 :rule trans :premises (@p355 @p353)) % 0.42/0.78 (step @p357 :rule cong :premises (@p356) :args (@t522)) % 0.42/0.78 (step @p358 :rule trans :premises (@p357 @p352)) % 0.42/0.78 (step @p359 :rule ho_cong :premises (@p286 @p356)) % 0.42/0.78 (step @p360 :rule cong :premises (@p359 @p358) :args ((= (_ tptp.f @t521) @t522))) % 0.42/0.78 (step @p361 :rule symm :premises (@p360)) % 0.42/0.78 (step @p362 :rule refl :args (@t523)) % 0.42/0.78 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 0.42/0.78 (step @p364 :rule refl :args (@t519)) % 0.42/0.78 (step @p365 :rule ho_cong :premises (@p364 @p280)) % 0.42/0.78 (step @p366 :rule cong :premises (@p365 @p356) :args ((= (_ @t519 @t497) @t521))) % 0.42/0.78 (step @p367 :rule symm :premises (@p366)) % 0.42/0.78 (step @p368 :rule refl :args (@t520)) % 0.42/0.78 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.42/0.78 (step @p370 :rule ho_cong :premises (@p364 @p301)) % 0.42/0.78 (step @p371 :rule trans :premises (@p370 @p369)) % 0.42/0.78 (step @p372 :rule ho_cong :premises (@p286 @p371)) % 0.42/0.78 (step @p373 :rule trans :premises (@p372 @p363)) % 0.42/0.78 (step @p374 :rule refl :args (@t524)) % 0.42/0.78 (step @p375 :rule refl :args (@t525)) % 0.42/0.78 (step @p376 :rule cong :premises (@p375 @p374) :args ((= @t525 @t524))) % 0.42/0.78 (step @p377 :rule symm :premises (@p376)) % 0.42/0.78 (step @p378 :rule eq_resolve :premises (@p375 @p377)) % 0.42/0.78 (step @p379 :rule cong :premises (@p378 @p373) :args (@t526)) % 0.42/0.78 (step @p380 :rule refl :args ((tptp.ord_less_nat @t518 @t446))) % 0.42/0.78 (step @p381 :rule cong :premises (@p354 @p260) :args (@t527)) % 0.42/0.78 (step @p382 :rule trans :premises (@p381 @p380)) % 0.42/0.78 (step @p383 :rule refl :args (@t528)) % 0.42/0.78 (step @p384 :rule ho_cong :premises (@p383 @p260)) % 0.42/0.78 (step @p385 :rule cong :premises (@p384 @p382) :args ((= (_ @t528 @t492) @t527))) % 0.42/0.78 (step @p386 :rule symm :premises (@p385)) % 0.42/0.78 (step @p387 :rule refl :args (@t529)) % 0.42/0.78 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 0.42/0.78 (step @p389 :rule ho_cong :premises (@p383 @p323)) % 0.42/0.78 (step @p390 :rule trans :premises (@p389 @p388)) % 0.42/0.78 (step @p391 :rule nary_cong :premises (@p390 @p379) :args (@t530)) % 0.42/0.78 (step @p392 :rule refl :args (@t531)) % 0.42/0.78 (step @p393 :rule refl :args (@t532)) % 0.42/0.78 (step @p394 :rule cong :premises (@p393 @p392) :args ((= @t532 @t531))) % 0.42/0.78 (step @p395 :rule symm :premises (@p394)) % 0.42/0.78 (step @p396 :rule eq_resolve :premises (@p393 @p395)) % 0.42/0.78 (step @p397 :rule cong :premises (@p396 @p378) :args (@t533)) % 0.42/0.78 (step @p398 :rule cong :premises (@p390) :args (@t534)) % 0.42/0.78 (step @p399 :rule nary_cong :premises (@p398 @p397) :args (@t535)) % 0.42/0.78 (step @p400 :rule nary_cong :premises (@p399 @p391) :args (@t536)) % 0.42/0.78 (step @p401 :rule nary_cong :premises (@p398 @p400) :args (@t537)) % 0.42/0.78 (step @p402 :rule cong :premises (@p401) :args ((forall @t538 @t537))) % 0.42/0.78 (step @p403 :rule eq-symm :args (@t523 @t525)) % 0.42/0.78 (step @p404 :rule refl :args (@t529)) % 0.42/0.78 (step @p405 :rule nary_cong :premises (@p404 @p403) :args (@t539)) % 0.42/0.78 (step @p406 :rule refl :args (@t535)) % 0.42/0.78 (step @p407 :rule nary_cong :premises (@p406 @p405) :args (@t540)) % 0.42/0.78 (step @p408 :rule refl :args (@t534)) % 0.42/0.78 (step @p409 :rule nary_cong :premises (@p408 @p407) :args (@t541)) % 0.42/0.78 (step @p410 :rule cong :premises (@p409) :args (@t542)) % 0.42/0.78 (step @p411 :rule trans :premises (@p410 @p402)) % 0.42/0.78 (step @p412 :rule nary_cong :premises (@p411 @p351) :args ((and @t542 @t517))) % 0.42/0.78 (step @p413 :rule alpha_equiv :args (@t546 @t547 (@list @t494))) % 0.42/0.78 (step @p414 :rule alpha_equiv :args (@t549 @t547 (@list @t518))) % 0.42/0.78 (step @p415 :rule nary_cong :premises (@p414 @p413) :args (@t550)) % 0.42/0.78 (step @p416 :rule quant-miniscope-and :args ((= (forall @t300 (and @t548 @t545)) @t550))) % 0.42/0.78 (step @p417 :rule trans :premises (@p416 @p415)) % 0.42/0.78 (step @p418 :rule trans :premises (@p417 @p412)) % 0.42/0.78 (step @p419 :rule refl :args (@t543)) % 0.42/0.78 (step @p420 :rule bool-double-not-elim :args (@t451)) % 0.42/0.78 (step @p421 :rule nary_cong :premises (@p420 @p419) :args ((or @t551 @t543))) % 0.42/0.78 (step @p422 :rule bool-impl-elim :args (@t452 @t543)) % 0.42/0.78 (step @p423 :rule trans :premises (@p422 @p421)) % 0.42/0.78 (step @p424 :rule bool-impl-elim :args (@t451 @t544)) % 0.42/0.78 (step @p425 :rule nary_cong :premises (@p424 @p423) :args (@t552)) % 0.42/0.78 (step @p426 :rule refl :args (@t451)) % 0.42/0.78 (step @p427 :rule nary_cong :premises (@p426 @p425) :args ((or @t451 @t552))) % 0.42/0.78 (step @p428 :rule refl :args (@t552)) % 0.42/0.78 (step @p429 :rule nary_cong :premises (@p420 @p428) :args ((or @t551 @t552))) % 0.42/0.78 (step @p430 :rule bool-impl-elim :args (@t452 @t552)) % 0.42/0.78 (step @p431 :rule trans :premises (@p430 @p429)) % 0.42/0.78 (step @p432 :rule trans :premises (@p431 @p427)) % 0.42/0.78 (step @p433 :rule refl :args (@t461)) % 0.42/0.78 (step @p434 :rule nary_cong :premises (@p420 @p433) :args ((or @t551 @t461))) % 0.42/0.78 (step @p435 :rule bool-impl-elim :args (@t452 @t461)) % 0.42/0.78 (step @p436 :rule trans :premises (@p435 @p434)) % 0.42/0.78 (step @p437 :rule bool-impl-elim :args (@t451 @t462)) % 0.42/0.78 (step @p438 :rule nary_cong :premises (@p437 @p436) :args (@t463)) % 0.42/0.78 (step @p439 :rule refl :args (@t452)) % 0.42/0.78 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t452 @t463))) % 0.42/0.78 (step @p441 :rule bool-impl-elim :args (@t451 @t463)) % 0.42/0.78 (step @p442 :rule trans :premises (@p441 @p440)) % 0.42/0.78 (step @p443 :rule nary_cong :premises (@p442 @p432) :args (@t553)) % 0.42/0.78 (step @p444 :rule cong :premises (@p443) :args ((forall @t300 @t553))) % 0.42/0.78 (step @p445 :rule trans :premises (@p444 @p418)) % 0.42/0.78 (step @p446 :rule eq-symm :args (@t450 @t449)) % 0.42/0.78 (step @p447 :rule refl :args (@t452)) % 0.42/0.78 (step @p448 :rule cong :premises (@p447 @p446) :args (@t453)) % 0.42/0.78 (step @p449 :rule eq-symm :args (@t455 @t449)) % 0.42/0.78 (step @p450 :rule refl :args (@t451)) % 0.42/0.78 (step @p451 :rule cong :premises (@p450 @p449) :args (@t456)) % 0.42/0.78 (step @p452 :rule nary_cong :premises (@p451 @p448) :args (@t457)) % 0.42/0.78 (step @p453 :rule cong :premises (@p447 @p452) :args (@t458)) % 0.42/0.78 (step @p454 :rule refl :args (@t464)) % 0.42/0.78 (step @p455 :rule nary_cong :premises (@p454 @p453) :args (@t465)) % 0.42/0.78 (step @p456 :rule cong :premises (@p455) :args (@t466)) % 0.42/0.78 (step @p457 :rule trans :premises (@p456 @p445)) % 0.42/0.78 (step @p458 :rule eq_resolve :premises (@p246 @p457)) % 0.42/0.78 (step @p459 :rule and_elim :premises (@p458) :args (0)) % 0.42/0.78 (step @p460 :rule refl :args (@t555)) % 0.42/0.78 (step @p461 :rule eq-symm :args (@t556 @t554)) % 0.42/0.78 (step @p462 :rule refl :args (@t557)) % 0.42/0.78 (step @p463 :rule nary_cong :premises (@p462 @p461) :args (@t558)) % 0.42/0.78 (step @p464 :rule nary_cong :premises (@p463 @p460) :args (@t559)) % 0.42/0.78 (step @p465 :rule nary_cong :premises (@p462 @p464) :args (@t560)) % 0.42/0.78 (step @p466 :rule refl :args (@t562)) % 0.42/0.78 (step @p467 :rule cong :premises (@p466 @p465) :args ((=> @t562 @t560))) % 0.42/0.78 (assume-push @p498 @t562) % 0.42/0.78 (step @p469 :rule instantiate :premises (@p459) :args ((@list tptp.x))) % 0.42/0.79 (step-pop @p499 :rule scope :premises (@p469)) % 0.42/0.79 (step @p470 :rule process_scope :premises (@p499) :args (@t560)) % 0.42/0.79 (step @p472 :rule eq_resolve :premises (@p470 @p467)) % 0.42/0.79 (step @p473 :rule implies_elim :premises (@p472)) % 0.42/0.79 (step @p474 :rule chain_m_resolution :premises (@p473 @p459) :args (@t566 (@list false) (@list @t562))) % 0.42/0.79 (step @p475 :rule refl :args (@t554)) % 0.42/0.79 (step @p476 :rule refl :args (@t469)) % 0.42/0.79 (step @p477 :rule cong :premises (@p476 @p475) :args ((= @t469 @t554))) % 0.42/0.79 (step @p478 :rule symm :premises (@p477)) % 0.42/0.79 (step @p479 :rule eq_resolve :premises (@p476 @p478)) % 0.42/0.79 (step @p480 :rule refl :args (@t556)) % 0.42/0.79 (step @p481 :rule refl :args (@t470)) % 0.42/0.79 (step @p482 :rule cong :premises (@p481 @p480) :args ((= @t470 @t556))) % 0.42/0.79 (step @p483 :rule symm :premises (@p482)) % 0.42/0.79 (step @p484 :rule eq_resolve :premises (@p481 @p483)) % 0.42/0.79 (step @p485 :rule cong :premises (@p484 @p479) :args (@t471)) % 0.42/0.79 (step @p486 :rule trans :premises (@p485 @p461)) % 0.42/0.79 (step @p487 :rule cong :premises (@p486) :args (@t472)) % 0.42/0.79 (step @p488 :rule eq_resolve :premises (@p248 @p487)) % 0.42/0.79 (step @p489 :rule cnf_or_pos :args (@t564)) % 0.42/0.79 (step @p490 :rule reordering :premises (@p489) :args ((or @t563 @t557 @t567))) % 0.42/0.79 (step @p491 :rule chain_m_resolution :premises (@p490 @p488 @p277) :args (@t567 (@list true false) (@list @t563 @t493))) % 0.42/0.79 (step @p492 :rule cnf_and_pos :args (@t565 0)) % 0.42/0.79 (step @p493 :rule reordering :premises (@p492) :args ((or @t564 @t568))) % 0.42/0.79 (step @p494 :rule chain_m_resolution :premises (@p493 @p491) :args (@t568 (@list true) (@list @t564))) % 0.42/0.79 (step @p495 :rule cnf_or_pos :args (@t566)) % 0.42/0.79 (step @p496 :rule reordering :premises (@p495) :args ((or @t557 @t565 (not @t566)))) % 0.42/0.79 (step @p497 false :rule chain_m_resolution :premises (@p496 @p494 @p474 @p277) :args (false (@list true false false) (@list @t565 @t566 @t493))) % 0.42/0.79 ) % 0.42/0.79 % SZS output end Proof % 0.42/0.79 % cvc5 exiting %------------------------------------------------------------------------------