%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP119^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:25:06 AM UTC 2026 % Result : Theorem 0.45s 0.89s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP119^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:14:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.60 %----Proving TH0 % 0.45/0.89 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.89 % SZS status Theorem % 0.45/0.89 % SZS output start Proof % 0.45/0.89 ( % 0.45/0.89 (declare-sort tptp.a 0) % 0.45/0.89 (declare-sort tptp.list_a 0) % 0.45/0.89 (declare-sort tptp.list_list_a 0) % 0.45/0.89 (declare-sort tptp.list_list_list_a 0) % 0.45/0.89 (declare-const tptp.abel_s374399671list_a (-> (-> tptp.list_a tptp.list_a tptp.list_a) Bool)) % 0.45/0.89 (declare-const tptp.semilattice_axioms_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 0.45/0.89 (declare-const tptp.b tptp.a) % 0.45/0.89 (declare-const tptp.last_a (-> tptp.list_a tptp.a)) % 0.45/0.89 (declare-const tptp.last_list_a (-> tptp.list_list_a tptp.list_a)) % 0.45/0.89 (declare-const tptp.list_ex1_a (-> (-> tptp.a Bool) tptp.list_a Bool)) % 0.45/0.89 (declare-const tptp.list_ex1_list_a (-> (-> tptp.list_a Bool) tptp.list_list_a Bool)) % 0.45/0.89 (declare-const tptp.butlast_a (-> tptp.list_a tptp.list_a)) % 0.45/0.89 (declare-const tptp.rotate1_a (-> tptp.list_a tptp.list_a)) % 0.45/0.89 (declare-const tptp.c tptp.a) % 0.45/0.89 (declare-const tptp.concat_a (-> tptp.list_list_a tptp.list_a)) % 0.45/0.89 (declare-const tptp.a2 tptp.a) % 0.45/0.89 (declare-const tptp.concat_list_a (-> tptp.list_list_list_a tptp.list_list_a)) % 0.45/0.89 (declare-const tptp.insert_a (-> tptp.a tptp.list_a tptp.list_a)) % 0.45/0.89 (declare-const tptp.transp_a (-> (-> tptp.a tptp.a Bool) Bool)) % 0.45/0.89 (declare-const tptp.maps_a_a (-> (-> tptp.a tptp.list_a) tptp.list_a tptp.list_a)) % 0.45/0.89 (declare-const tptp.maps_list_a_a (-> (-> tptp.list_a tptp.list_a) tptp.list_list_a tptp.list_a)) % 0.45/0.89 (declare-const tptp.maps_a_list_a (-> (-> tptp.a tptp.list_list_a) tptp.list_a tptp.list_list_a)) % 0.45/0.89 (declare-const tptp.subseqs_a (-> tptp.list_a tptp.list_list_a)) % 0.45/0.89 (declare-const tptp.subseqs_list_a (-> tptp.list_list_a tptp.list_list_list_a)) % 0.45/0.89 (declare-const tptp.bind_list_a_list_a (-> tptp.list_list_a (-> tptp.list_a tptp.list_list_a) tptp.list_list_a)) % 0.45/0.89 (declare-const tptp.modula1373251614_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 0.45/0.89 (declare-const tptp.maps_list_a_list_a (-> (-> tptp.list_a tptp.list_list_a) tptp.list_list_a tptp.list_list_a)) % 0.45/0.89 (declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 0.45/0.89 (declare-const tptp.modula581031071_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 0.45/0.89 (declare-const tptp.sup (-> tptp.a tptp.a tptp.a)) % 0.45/0.89 (declare-const tptp.modula1144073633_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 0.45/0.89 (declare-const tptp.bind_a_a (-> tptp.list_a (-> tptp.a tptp.list_a) tptp.list_a)) % 0.45/0.89 (declare-const tptp.modula1936294176_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 0.45/0.89 (declare-const tptp.butlast_list_a (-> tptp.list_list_a tptp.list_list_a)) % 0.45/0.89 (declare-const tptp.modula1962211574trib_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a Bool)) % 0.45/0.89 (declare-const tptp.bind_list_a_a (-> tptp.list_list_a (-> tptp.list_a tptp.list_a) tptp.list_a)) % 0.45/0.89 (declare-const tptp.modula1376131916tice_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a Bool)) % 0.45/0.90 (declare-const tptp.bind_a_list_a (-> tptp.list_a (-> tptp.a tptp.list_list_a) tptp.list_list_a)) % 0.45/0.90 (declare-const tptp.modula17988509_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a)) % 0.45/0.90 (declare-const tptp.modula397570059tice_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a Bool) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a Bool)) % 0.45/0.90 (declare-const tptp.inf (-> tptp.a tptp.a tptp.a)) % 0.45/0.90 (declare-const tptp.insert_list_a (-> tptp.list_a tptp.list_list_a tptp.list_list_a)) % 0.45/0.90 (declare-const tptp.less (-> tptp.a tptp.a Bool)) % 0.45/0.90 (declare-const tptp.lexordp_eq_list_a (-> (-> tptp.list_a tptp.list_a Bool) tptp.list_list_a tptp.list_list_a Bool)) % 0.45/0.90 (declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool)) % 0.45/0.90 (declare-const tptp.lexordp_eq_a (-> (-> tptp.a tptp.a Bool) tptp.list_a tptp.list_a Bool)) % 0.45/0.90 (declare-const tptp.nil_a tptp.list_a) % 0.45/0.90 (declare-const tptp.nil_list_a tptp.list_list_a) % 0.45/0.90 (declare-const tptp.cons_a (-> tptp.a tptp.list_a tptp.list_a)) % 0.45/0.90 (declare-const tptp.cons_list_a (-> tptp.list_a tptp.list_list_a tptp.list_list_a)) % 0.45/0.90 (declare-const tptp.rotate1_list_a (-> tptp.list_list_a tptp.list_list_a)) % 0.45/0.90 (declare-const tptp.append_a (-> tptp.list_a tptp.list_a tptp.list_a)) % 0.45/0.90 (declare-const tptp.cons_list_list_a (-> tptp.list_list_a tptp.list_list_list_a tptp.list_list_list_a)) % 0.45/0.90 (declare-const tptp.product_lists_a (-> tptp.list_list_a tptp.list_list_a)) % 0.45/0.90 (declare-const tptp.append_list_a (-> tptp.list_list_a tptp.list_list_a tptp.list_list_a)) % 0.45/0.90 (declare-const tptp.append_list_list_a (-> tptp.list_list_list_a tptp.list_list_list_a tptp.list_list_list_a)) % 0.45/0.90 (declare-const tptp.product_lists_list_a (-> tptp.list_list_list_a tptp.list_list_list_a)) % 0.45/0.90 (declare-const tptp.nil_list_list_a tptp.list_list_list_a) % 0.45/0.90 (declare-const tptp.lexordp_a (-> (-> tptp.a tptp.a Bool) tptp.list_a tptp.list_a Bool)) % 0.45/0.90 (declare-const tptp.lexordp_list_a (-> (-> tptp.list_a tptp.list_a Bool) tptp.list_list_a tptp.list_list_a Bool)) % 0.45/0.90 (declare-const tptp.semigr656274520list_a (-> (-> tptp.list_list_a tptp.list_list_a tptp.list_list_a) Bool)) % 0.45/0.90 (define tptp.semigroup_list_a () (let ((_let_1 (@var "C3" tptp.list_a))) (let ((_let_2 (@var "B3" tptp.list_a))) (let ((_let_3 (@var "F2" (-> tptp.list_a tptp.list_a tptp.list_a)))) (let ((_let_4 (@var "A3" tptp.list_a))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (= (_ (_ _let_3 (_ _let_5 _let_2)) _let_1) (_ _let_5 (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.45/0.90 (define tptp.semigroup_a () (let ((_let_1 (@var "C3" tptp.a))) (let ((_let_2 (@var "B3" tptp.a))) (let ((_let_3 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (let ((_let_4 (@var "A3" tptp.a))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (= (_ (_ _let_3 (_ _let_5 _let_2)) _let_1) (_ _let_5 (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.45/0.90 (define tptp.abel_s1075322906list_a () (let ((_let_1 (@var "F2" (-> tptp.list_a tptp.list_a tptp.list_a)))) (lambda (@list _let_1) (and (_ tptp.semigroup_list_a _let_1) (_ tptp.abel_s374399671list_a _let_1))))) % 0.45/0.90 (define tptp.abel_s2117090225ioms_a () (let ((_let_1 (@var "A3" tptp.a))) (let ((_let_2 (@var "B3" tptp.a))) (let ((_let_3 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (= (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.45/0.90 (define tptp.abel_semigroup_a () (let ((_let_1 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (lambda (@list _let_1) (and (_ tptp.semigroup_a _let_1) (_ tptp.abel_s2117090225ioms_a _let_1))))) % 0.45/0.90 (define tptp.semilattice_a () (let ((_let_1 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (lambda (@list _let_1) (and (_ tptp.abel_semigroup_a _let_1) (_ tptp.semilattice_axioms_a _let_1))))) % 0.45/0.90 (define @t1 () (@var "B" tptp.a)) % 0.45/0.90 (define @t2 () (@var "A" tptp.a)) % 0.45/0.90 (define @t3 () (_ tptp.less @t2)) % 0.45/0.90 (define @t4 () (_ @t3 @t1)) % 0.45/0.90 (define @t5 () (_ tptp.less @t1)) % 0.45/0.90 (define @t6 () (_ @t5 @t2)) % 0.45/0.90 (define @t7 () (@list @t1 @t2)) % 0.45/0.90 (define @t8 () (= @t2 @t1)) % 0.45/0.90 (define @t9 () (not @t8)) % 0.45/0.90 (define @t10 () (@var "C" tptp.a)) % 0.45/0.90 (define @t11 () (_ tptp.less @t10)) % 0.45/0.90 (define @t12 () (_ @t11 @t2)) % 0.45/0.90 (define @t13 () (_ @t11 @t1)) % 0.45/0.90 (define @t14 () (@list @t1 @t2 @t10)) % 0.45/0.90 (define @t15 () (@var "X" tptp.a)) % 0.45/0.90 (define @t16 () (@var "Y" tptp.a)) % 0.45/0.90 (define @t17 () (_ tptp.less @t16)) % 0.45/0.90 (define @t18 () (_ @t17 @t15)) % 0.45/0.90 (define @t19 () (not @t18)) % 0.45/0.90 (define @t20 () (_ tptp.less @t15)) % 0.45/0.90 (define @t21 () (_ @t20 @t16)) % 0.45/0.90 (define @t22 () (@list @t15 @t16)) % 0.45/0.90 (define @t23 () (@list @t2 @t1)) % 0.45/0.90 (define @t24 () (= @t15 @t16)) % 0.45/0.90 (define @t25 () (@var "P" Bool)) % 0.45/0.90 (define @t26 () (@list @t15)) % 0.45/0.90 (define @t27 () (@var "Z" tptp.a)) % 0.45/0.90 (define @t28 () (@list @t15 @t16 @t27)) % 0.45/0.90 (define @t29 () (_ @t3 @t10)) % 0.45/0.90 (define @t30 () (_ @t5 @t10)) % 0.45/0.90 (define @t31 () (=> @t30 @t29)) % 0.45/0.90 (define @t32 () (@list @t2 @t1 @t10)) % 0.45/0.90 (define @t33 () (@list @t2)) % 0.45/0.90 (define @t34 () (_ tptp.inf @t1)) % 0.45/0.90 (define @t35 () (_ @t34 @t10)) % 0.45/0.90 (define @t36 () (_ tptp.inf @t2)) % 0.45/0.90 (define @t37 () (_ @t36 @t35)) % 0.45/0.90 (define @t38 () (_ @t36 @t1)) % 0.45/0.90 (define @t39 () (_ tptp.inf @t38)) % 0.45/0.90 (define @t40 () (_ @t36 @t10)) % 0.45/0.90 (define @t41 () (_ tptp.inf @t16)) % 0.45/0.90 (define @t42 () (_ @t41 @t27)) % 0.45/0.90 (define @t43 () (_ tptp.inf @t15)) % 0.45/0.90 (define @t44 () (_ @t43 @t42)) % 0.45/0.90 (define @t45 () (_ @t43 @t16)) % 0.45/0.90 (define @t46 () (_ tptp.inf @t45)) % 0.45/0.90 (define @t47 () (_ @t43 @t27)) % 0.45/0.90 (define @t48 () (_ tptp.sup @t1)) % 0.45/0.90 (define @t49 () (_ @t48 @t10)) % 0.45/0.90 (define @t50 () (_ tptp.sup @t2)) % 0.45/0.90 (define @t51 () (_ @t50 @t49)) % 0.45/0.90 (define @t52 () (_ @t50 @t1)) % 0.45/0.90 (define @t53 () (_ tptp.sup @t52)) % 0.45/0.90 (define @t54 () (_ @t50 @t10)) % 0.45/0.90 (define @t55 () (_ tptp.sup @t16)) % 0.45/0.90 (define @t56 () (_ @t55 @t27)) % 0.45/0.90 (define @t57 () (_ tptp.sup @t15)) % 0.45/0.90 (define @t58 () (_ @t57 @t56)) % 0.45/0.90 (define @t59 () (_ @t57 @t16)) % 0.45/0.90 (define @t60 () (_ @t57 @t27)) % 0.45/0.90 (define @t61 () (_ tptp.less @t38)) % 0.45/0.90 (define @t62 () (_ @t61 @t10)) % 0.45/0.90 (define @t63 () (@list @t1 @t10 @t2)) % 0.45/0.90 (define @t64 () (= @t2 @t38)) % 0.45/0.90 (define @t65 () (and @t64 @t9)) % 0.45/0.90 (define @t66 () (= @t4 @t65)) % 0.45/0.90 (define @t67 () (forall @t23 @t66)) % 0.45/0.90 (define @t68 () (_ @t61 @t15)) % 0.45/0.90 (define @t69 () (_ @t20 @t52)) % 0.45/0.90 (define @t70 () (_ @t11 @t52)) % 0.45/0.90 (define @t71 () (@list @t10 @t2 @t1)) % 0.45/0.90 (define @t72 () (@var "Z2" tptp.a)) % 0.45/0.90 (define @t73 () (@var "X2" tptp.a)) % 0.45/0.90 (define @t74 () (_ tptp.inf @t73)) % 0.45/0.90 (define @t75 () (@var "Y2" tptp.a)) % 0.45/0.90 (define @t76 () (@list @t73 @t75 @t72)) % 0.45/0.90 (define @t77 () (_ tptp.sup @t73)) % 0.45/0.90 (define @t78 () (_ @t50 @t2)) % 0.45/0.90 (define @t79 () (forall @t33 (= @t78 @t2))) % 0.45/0.90 (define @t80 () (_ (_ tptp.sup @t10) @t2)) % 0.45/0.90 (define @t81 () (_ tptp.inf @t10)) % 0.45/0.90 (define @t82 () (_ @t81 @t2)) % 0.45/0.90 (define @t83 () (_ @t36 @t49)) % 0.45/0.90 (define @t84 () (_ tptp.sup @t38)) % 0.45/0.90 (define @t85 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup)) % 0.45/0.90 (define @t86 () (_ (_ (_ @t85 @t2) @t1) @t10)) % 0.45/0.90 (define @t87 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup)) % 0.45/0.90 (define @t88 () (_ (_ (_ @t87 @t2) @t1) @t10)) % 0.45/0.90 (define @t89 () (_ @t36 @t88)) % 0.45/0.90 (define @t90 () (_ @t34 @t88)) % 0.45/0.90 (define @t91 () (_ @t81 @t88)) % 0.45/0.90 (define @t92 () (_ (_ (_ (_ (_ tptp.modula581031071_aux_a tptp.inf) tptp.sup) @t2) @t1) @t10)) % 0.45/0.90 (define @t93 () (_ (_ (_ (_ (_ tptp.modula1373251614_aux_a tptp.inf) tptp.sup) @t2) @t1) @t10)) % 0.45/0.90 (define @t94 () (_ (_ tptp.modula17988509_aux_a tptp.inf) tptp.sup)) % 0.45/0.90 (define @t95 () (@var "Xs" tptp.list_a)) % 0.45/0.90 (define @t96 () (_ tptp.lexordp_eq_a tptp.less)) % 0.45/0.90 (define @t97 () (_ @t96 @t95)) % 0.45/0.90 (define @t98 () (@list @t95)) % 0.45/0.90 (define @t99 () (@var "Ys" tptp.list_a)) % 0.45/0.90 (define @t100 () (@list @t99)) % 0.45/0.90 (define @t101 () (@var "F" (-> tptp.list_a tptp.list_a tptp.list_a))) % 0.45/0.90 (define @t102 () (_ tptp.semigroup_list_a @t101)) % 0.45/0.90 (define @t103 () (_ tptp.abel_s1075322906list_a @t101)) % 0.45/0.90 (define @t104 () (@list @t101)) % 0.45/0.90 (define @t105 () (@var "F" (-> tptp.a tptp.a tptp.a))) % 0.45/0.90 (define @t106 () (_ tptp.semigroup_a @t105)) % 0.45/0.90 (define @t107 () (_ tptp.abel_semigroup_a @t105)) % 0.45/0.90 (define @t108 () (@list @t105)) % 0.45/0.90 (define @t109 () (_ tptp.semilattice_a @t105)) % 0.45/0.90 (define @t110 () (_ tptp.lattic1885654924_set_a @t105)) % 0.45/0.90 (define @t111 () (= @t95 tptp.nil_a)) % 0.45/0.90 (define @t112 () (_ @t105 @t1)) % 0.45/0.90 (define @t113 () (_ @t105 @t2)) % 0.45/0.90 (define @t114 () (_ @t113 (_ @t112 @t10))) % 0.45/0.90 (define @t115 () (_ @t113 @t1)) % 0.45/0.90 (define @t116 () (@list @t105 @t2 @t1)) % 0.45/0.90 (define @t117 () (@var "C2" tptp.list_a)) % 0.45/0.90 (define @t118 () (@var "B2" tptp.list_a)) % 0.45/0.90 (define @t119 () (@var "A2" tptp.list_a)) % 0.45/0.90 (define @t120 () (_ @t101 @t119)) % 0.45/0.90 (define @t121 () (@var "C2" tptp.a)) % 0.45/0.90 (define @t122 () (@var "B2" tptp.a)) % 0.45/0.90 (define @t123 () (_ @t105 @t122)) % 0.45/0.90 (define @t124 () (@var "A2" tptp.a)) % 0.45/0.90 (define @t125 () (_ @t105 @t124)) % 0.45/0.90 (define @t126 () (_ @t125 @t122)) % 0.45/0.90 (define @t127 () (@var "C" tptp.list_a)) % 0.45/0.90 (define @t128 () (@var "B" tptp.list_a)) % 0.45/0.90 (define @t129 () (@var "A" tptp.list_a)) % 0.45/0.90 (define @t130 () (_ @t101 @t129)) % 0.45/0.90 (define @t131 () (_ @t105 @t115)) % 0.45/0.90 (define @t132 () (@var "Xs" tptp.list_list_a)) % 0.45/0.90 (define @t133 () (= @t132 tptp.nil_list_a)) % 0.45/0.90 (define @t134 () (@var "Less" (-> tptp.list_a tptp.list_a Bool))) % 0.45/0.90 (define @t135 () (_ tptp.lexordp_eq_list_a @t134)) % 0.45/0.90 (define @t136 () (_ @t135 @t132)) % 0.45/0.90 (define @t137 () (@list @t134 @t132)) % 0.45/0.90 (define @t138 () (@var "Less" (-> tptp.a tptp.a Bool))) % 0.45/0.90 (define @t139 () (_ tptp.lexordp_eq_a @t138)) % 0.45/0.90 (define @t140 () (_ @t139 @t95)) % 0.45/0.90 (define @t141 () (@list @t138 @t95)) % 0.45/0.90 (define @t142 () (@var "Ys" tptp.list_list_a)) % 0.45/0.90 (define @t143 () (@list @t134 @t142)) % 0.45/0.90 (define @t144 () (@list @t138 @t99)) % 0.45/0.90 (define @t145 () (@var "Ys2" tptp.list_a)) % 0.45/0.90 (define @t146 () (@var "Xs2" tptp.list_a)) % 0.45/0.90 (define @t147 () (@var "X3" tptp.a)) % 0.45/0.90 (define @t148 () (@var "Y3" tptp.a)) % 0.45/0.90 (define @t149 () (not (_ (_ tptp.less @t148) @t147))) % 0.45/0.90 (define @t150 () (_ (_ tptp.less @t147) @t148)) % 0.45/0.90 (define @t151 () (not @t150)) % 0.45/0.90 (define @t152 () (_ (_ tptp.cons_a @t148) @t145)) % 0.45/0.90 (define @t153 () (@var "A22" tptp.list_a)) % 0.45/0.90 (define @t154 () (= @t153 @t152)) % 0.45/0.90 (define @t155 () (_ (_ tptp.cons_a @t147) @t146)) % 0.45/0.90 (define @t156 () (@var "A1" tptp.list_a)) % 0.45/0.90 (define @t157 () (= @t156 @t155)) % 0.45/0.90 (define @t158 () (@list @t147 @t148 @t146 @t145)) % 0.45/0.90 (define @t159 () (exists @t158 (and @t157 @t154 @t150))) % 0.45/0.90 (define @t160 () (= @t156 tptp.nil_a)) % 0.45/0.90 (define @t161 () (@list @t145)) % 0.45/0.90 (define @t162 () (_ (_ @t96 @t156) @t153)) % 0.45/0.90 (define @t163 () (@list @t156 @t153)) % 0.45/0.90 (define @t164 () (@var "X22" tptp.list_a)) % 0.45/0.90 (define @t165 () (@var "X1" tptp.list_a)) % 0.45/0.90 (define @t166 () (@var "P" (-> tptp.list_a tptp.list_a Bool))) % 0.45/0.90 (define @t167 () (_ (_ @t166 @t165) @t164)) % 0.45/0.90 (define @t168 () (@var "Ys3" tptp.list_a)) % 0.45/0.90 (define @t169 () (_ tptp.cons_a @t75)) % 0.45/0.90 (define @t170 () (_ @t169 @t168)) % 0.45/0.90 (define @t171 () (@var "Xs3" tptp.list_a)) % 0.45/0.90 (define @t172 () (_ tptp.cons_a @t73)) % 0.45/0.90 (define @t173 () (_ @t172 @t171)) % 0.45/0.90 (define @t174 () (_ @t166 @t173)) % 0.45/0.90 (define @t175 () (_ @t174 @t170)) % 0.45/0.90 (define @t176 () (_ @t166 @t171)) % 0.45/0.90 (define @t177 () (=> (_ @t176 @t168) @t175)) % 0.45/0.90 (define @t178 () (_ (_ @t96 @t171) @t168)) % 0.45/0.90 (define @t179 () (not (_ (_ tptp.less @t75) @t73))) % 0.45/0.90 (define @t180 () (_ tptp.less @t73)) % 0.45/0.90 (define @t181 () (_ @t180 @t75)) % 0.45/0.90 (define @t182 () (not @t181)) % 0.45/0.90 (define @t183 () (@list @t73 @t75 @t171 @t168)) % 0.45/0.90 (define @t184 () (forall @t183 (=> @t181 @t175))) % 0.45/0.90 (define @t185 () (@var "X_1" tptp.list_a)) % 0.45/0.90 (define @t186 () (_ @t166 tptp.nil_a)) % 0.45/0.90 (define @t187 () (forall (@list @t185) (_ @t186 @t185))) % 0.45/0.90 (define @t188 () (@list @t165 @t164 @t166)) % 0.45/0.90 (define @t189 () (= @t153 @t170)) % 0.45/0.90 (define @t190 () (@list @t168)) % 0.45/0.90 (define @t191 () (= @t156 @t173)) % 0.45/0.90 (define @t192 () (@list @t73 @t75 @t171)) % 0.45/0.90 (define @t193 () (exists @t190 @t189)) % 0.45/0.90 (define @t194 () (@list @t75)) % 0.45/0.90 (define @t195 () (@list @t171)) % 0.45/0.90 (define @t196 () (exists @t195 @t191)) % 0.45/0.90 (define @t197 () (@list @t73)) % 0.45/0.90 (define @t198 () (forall @t197 (=> @t196 (forall @t194 (=> @t193 @t182))))) % 0.45/0.90 (define @t199 () (not @t160)) % 0.45/0.90 (define @t200 () (_ tptp.cons_a @t16)) % 0.45/0.90 (define @t201 () (_ @t200 @t99)) % 0.45/0.90 (define @t202 () (_ tptp.cons_a @t15)) % 0.45/0.90 (define @t203 () (_ @t202 @t95)) % 0.45/0.90 (define @t204 () (_ @t96 @t203)) % 0.45/0.90 (define @t205 () (_ @t204 @t201)) % 0.45/0.90 (define @t206 () (_ @t97 @t99)) % 0.45/0.90 (define @t207 () (not @t21)) % 0.45/0.90 (define @t208 () (@list @t15 @t16 @t95 @t99)) % 0.45/0.90 (define @t209 () (@var "Y22" tptp.list_list_a)) % 0.45/0.90 (define @t210 () (@var "X222" tptp.list_list_a)) % 0.45/0.90 (define @t211 () (@var "Y21" tptp.list_a)) % 0.45/0.90 (define @t212 () (@var "X21" tptp.list_a)) % 0.45/0.90 (define @t213 () (_ (_ tptp.cons_list_a @t212) @t210)) % 0.45/0.90 (define @t214 () (@var "Y22" tptp.list_a)) % 0.45/0.90 (define @t215 () (@var "X222" tptp.list_a)) % 0.45/0.90 (define @t216 () (@var "Y21" tptp.a)) % 0.45/0.90 (define @t217 () (@var "X21" tptp.a)) % 0.45/0.90 (define @t218 () (_ (_ tptp.cons_a @t217) @t215)) % 0.45/0.90 (define @t219 () (_ @t136 @t142)) % 0.45/0.90 (define @t220 () (@var "X" tptp.list_a)) % 0.45/0.90 (define @t221 () (@var "Y" tptp.list_a)) % 0.45/0.90 (define @t222 () (not (_ (_ @t134 @t221) @t220))) % 0.45/0.90 (define @t223 () (_ (_ @t134 @t220) @t221)) % 0.45/0.90 (define @t224 () (_ tptp.cons_list_a @t221)) % 0.45/0.90 (define @t225 () (_ @t224 @t142)) % 0.45/0.90 (define @t226 () (_ tptp.cons_list_a @t220)) % 0.45/0.90 (define @t227 () (_ @t226 @t132)) % 0.45/0.90 (define @t228 () (_ @t135 @t227)) % 0.45/0.90 (define @t229 () (_ @t228 @t225)) % 0.45/0.90 (define @t230 () (@list @t134 @t220 @t132 @t221 @t142)) % 0.45/0.90 (define @t231 () (_ @t140 @t99)) % 0.45/0.90 (define @t232 () (not (_ (_ @t138 @t16) @t15))) % 0.45/0.90 (define @t233 () (_ (_ @t138 @t15) @t16)) % 0.45/0.90 (define @t234 () (_ @t139 @t203)) % 0.45/0.90 (define @t235 () (_ @t234 @t201)) % 0.45/0.90 (define @t236 () (@list @t138 @t15 @t95 @t16 @t99)) % 0.45/0.90 (define @t237 () (@list @t15 @t95 @t16 @t99)) % 0.45/0.90 (define @t238 () (@list @t15 @t95)) % 0.45/0.90 (define @t239 () (@var "A1" tptp.list_list_a)) % 0.45/0.90 (define @t240 () (@var "A0" (-> tptp.list_a tptp.a))) % 0.45/0.90 (define @t241 () (@var "P" (-> (-> tptp.list_a tptp.a) tptp.list_list_a tptp.list_a Bool))) % 0.45/0.90 (define @t242 () (@var "Bs" tptp.list_a)) % 0.45/0.90 (define @t243 () (@var "As" tptp.list_list_a)) % 0.45/0.90 (define @t244 () (_ (_ tptp.cons_list_a @t119) @t243)) % 0.45/0.90 (define @t245 () (@var "F3" (-> tptp.list_a tptp.a))) % 0.45/0.90 (define @t246 () (_ @t241 @t245)) % 0.45/0.90 (define @t247 () (@var "A22" tptp.list_list_a)) % 0.45/0.90 (define @t248 () (@var "A0" (-> tptp.a tptp.list_a))) % 0.45/0.90 (define @t249 () (@var "P" (-> (-> tptp.a tptp.list_a) tptp.list_a tptp.list_list_a Bool))) % 0.45/0.90 (define @t250 () (@var "Bs" tptp.list_list_a)) % 0.45/0.90 (define @t251 () (@var "As" tptp.list_a)) % 0.45/0.90 (define @t252 () (_ (_ tptp.cons_a @t124) @t251)) % 0.45/0.90 (define @t253 () (@var "F3" (-> tptp.a tptp.list_a))) % 0.45/0.90 (define @t254 () (_ @t249 @t253)) % 0.45/0.90 (define @t255 () (@var "X_1" tptp.list_list_a)) % 0.45/0.90 (define @t256 () (@var "A0" (-> tptp.list_a tptp.list_a))) % 0.45/0.90 (define @t257 () (@var "P" (-> (-> tptp.list_a tptp.list_a) tptp.list_list_a tptp.list_list_a Bool))) % 0.45/0.90 (define @t258 () (@var "F3" (-> tptp.list_a tptp.list_a))) % 0.45/0.90 (define @t259 () (_ @t257 @t258)) % 0.45/0.90 (define @t260 () (@var "A0" (-> tptp.a tptp.a))) % 0.45/0.90 (define @t261 () (@var "P" (-> (-> tptp.a tptp.a) tptp.list_a tptp.list_a Bool))) % 0.45/0.90 (define @t262 () (@var "F3" (-> tptp.a tptp.a))) % 0.45/0.90 (define @t263 () (_ @t261 @t262)) % 0.45/0.90 (define @t264 () (@var "P" (-> tptp.list_list_a Bool))) % 0.45/0.90 (define @t265 () (_ @t264 @t132)) % 0.45/0.90 (define @t266 () (@var "Xs3" tptp.list_list_a)) % 0.45/0.90 (define @t267 () (@var "X2" tptp.list_a)) % 0.45/0.90 (define @t268 () (_ tptp.cons_list_a @t267)) % 0.45/0.90 (define @t269 () (_ @t268 @t266)) % 0.45/0.90 (define @t270 () (_ @t264 @t269)) % 0.45/0.90 (define @t271 () (_ @t264 @t266)) % 0.45/0.90 (define @t272 () (not (= @t266 tptp.nil_list_a))) % 0.45/0.90 (define @t273 () (@list @t267 @t266)) % 0.45/0.90 (define @t274 () (_ @t268 tptp.nil_list_a)) % 0.45/0.90 (define @t275 () (@list @t267)) % 0.45/0.90 (define @t276 () (forall @t275 (_ @t264 @t274))) % 0.45/0.90 (define @t277 () (not @t133)) % 0.45/0.90 (define @t278 () (@list @t132 @t264)) % 0.45/0.90 (define @t279 () (@var "P" (-> tptp.list_a Bool))) % 0.45/0.90 (define @t280 () (_ @t279 @t95)) % 0.45/0.90 (define @t281 () (_ @t279 @t173)) % 0.45/0.90 (define @t282 () (_ @t279 @t171)) % 0.45/0.90 (define @t283 () (not (= @t171 tptp.nil_a))) % 0.45/0.90 (define @t284 () (@list @t73 @t171)) % 0.45/0.90 (define @t285 () (_ @t172 tptp.nil_a)) % 0.45/0.90 (define @t286 () (forall @t197 (_ @t279 @t285))) % 0.45/0.90 (define @t287 () (not @t111)) % 0.45/0.90 (define @t288 () (@list @t95 @t279)) % 0.45/0.90 (define @t289 () (@var "A0" (-> tptp.list_a tptp.list_a Bool))) % 0.45/0.90 (define @t290 () (@var "P" (-> (-> tptp.list_a tptp.list_a Bool) tptp.list_list_a Bool))) % 0.45/0.90 (define @t291 () (_ (_ @t290 @t289) @t239)) % 0.45/0.90 (define @t292 () (@var "Y2" tptp.list_a)) % 0.45/0.90 (define @t293 () (_ tptp.cons_list_a @t292)) % 0.45/0.90 (define @t294 () (_ @t293 @t266)) % 0.45/0.90 (define @t295 () (_ @t268 @t294)) % 0.45/0.90 (define @t296 () (@var "P2" (-> tptp.list_a tptp.list_a Bool))) % 0.45/0.90 (define @t297 () (_ @t290 @t296)) % 0.45/0.90 (define @t298 () (forall (@list @t296) (_ @t297 tptp.nil_list_a))) % 0.45/0.90 (define @t299 () (@list @t290 @t289 @t239)) % 0.45/0.90 (define @t300 () (@var "A0" (-> tptp.a tptp.a Bool))) % 0.45/0.90 (define @t301 () (@var "P" (-> (-> tptp.a tptp.a Bool) tptp.list_a Bool))) % 0.45/0.90 (define @t302 () (_ (_ @t301 @t300) @t156)) % 0.45/0.90 (define @t303 () (_ @t169 @t171)) % 0.45/0.90 (define @t304 () (_ @t172 @t303)) % 0.45/0.90 (define @t305 () (@var "P2" (-> tptp.a tptp.a Bool))) % 0.45/0.90 (define @t306 () (_ @t301 @t305)) % 0.45/0.90 (define @t307 () (forall (@list @t305) (_ @t306 tptp.nil_a))) % 0.45/0.90 (define @t308 () (@list @t301 @t300 @t156)) % 0.45/0.90 (define @t309 () (@var "A0" tptp.list_list_a)) % 0.45/0.90 (define @t310 () (= @t267 @t292)) % 0.45/0.90 (define @t311 () (@list @t267 @t292 @t266)) % 0.45/0.90 (define @t312 () (_ @t264 tptp.nil_list_a)) % 0.45/0.90 (define @t313 () (@var "A0" tptp.list_a)) % 0.45/0.90 (define @t314 () (= @t73 @t75)) % 0.45/0.90 (define @t315 () (_ @t279 tptp.nil_a)) % 0.45/0.90 (define @t316 () (@var "Ys3" tptp.list_list_a)) % 0.45/0.90 (define @t317 () (@var "X" tptp.list_list_a)) % 0.45/0.90 (define @t318 () (not (= @t317 tptp.nil_list_a))) % 0.45/0.90 (define @t319 () (@list @t317)) % 0.45/0.90 (define @t320 () (@list @t220)) % 0.45/0.90 (define @t321 () (@var "Xss" tptp.list_list_list_a)) % 0.45/0.90 (define @t322 () (@var "X" tptp.list_list_list_a)) % 0.45/0.90 (define @t323 () (_ tptp.cons_list_list_a tptp.nil_list_a)) % 0.45/0.90 (define @t324 () (@var "Xss" tptp.list_list_a)) % 0.45/0.90 (define @t325 () (_ tptp.cons_list_a tptp.nil_a)) % 0.45/0.90 (define @t326 () (@var "P" (-> tptp.list_list_a tptp.list_list_a Bool))) % 0.45/0.90 (define @t327 () (_ (_ @t326 @t309) @t239)) % 0.45/0.90 (define @t328 () (_ @t293 @t316)) % 0.45/0.90 (define @t329 () (_ @t326 @t269)) % 0.45/0.90 (define @t330 () (_ @t329 @t328)) % 0.45/0.90 (define @t331 () (_ @t329 @t316)) % 0.45/0.90 (define @t332 () (_ @t326 @t266)) % 0.45/0.90 (define @t333 () (@list @t267 @t266 @t292 @t316)) % 0.45/0.90 (define @t334 () (@list @t266)) % 0.45/0.90 (define @t335 () (_ @t326 tptp.nil_list_a)) % 0.45/0.90 (define @t336 () (forall (@list @t255) (_ @t335 @t255))) % 0.45/0.90 (define @t337 () (@list @t326 @t309 @t239)) % 0.45/0.90 (define @t338 () (_ (_ @t166 @t313) @t156)) % 0.45/0.90 (define @t339 () (_ @t174 @t168)) % 0.45/0.90 (define @t340 () (@list @t73 @t171 @t75 @t168)) % 0.45/0.90 (define @t341 () (@list @t166 @t313 @t156)) % 0.45/0.90 (define @t342 () (@var "Zs" tptp.list_list_a)) % 0.45/0.90 (define @t343 () (_ @t293 @t342)) % 0.45/0.90 (define @t344 () (@list @t264 @t132)) % 0.45/0.90 (define @t345 () (@var "Zs" tptp.list_a)) % 0.45/0.90 (define @t346 () (_ @t169 @t345)) % 0.45/0.90 (define @t347 () (@list @t279 @t95)) % 0.45/0.90 (define @t348 () (@var "P" (-> tptp.list_a tptp.list_list_a Bool))) % 0.45/0.90 (define @t349 () (_ @t348 @t173)) % 0.45/0.90 (define @t350 () (_ @t348 tptp.nil_a)) % 0.45/0.90 (define @t351 () (@list @t292 @t316)) % 0.45/0.90 (define @t352 () (@var "P" (-> tptp.list_list_a tptp.list_a Bool))) % 0.45/0.90 (define @t353 () (_ @t352 @t269)) % 0.45/0.90 (define @t354 () (_ @t352 tptp.nil_list_a)) % 0.45/0.90 (define @t355 () (@list @t75 @t168)) % 0.45/0.90 (define @t356 () (=> (_ @t332 @t316) @t330)) % 0.45/0.90 (define @t357 () (forall @t351 (_ @t335 @t328))) % 0.45/0.90 (define @t358 () (forall @t355 (_ @t186 @t170))) % 0.45/0.90 (define @t359 () (@var "Ys2" tptp.list_list_a)) % 0.45/0.90 (define @t360 () (@var "Y3" tptp.list_a)) % 0.45/0.90 (define @t361 () (_ (_ tptp.cons_list_a @t360) @t359)) % 0.45/0.90 (define @t362 () (@list @t360 @t359)) % 0.45/0.90 (define @t363 () (@list @t132)) % 0.45/0.90 (define @t364 () (@list @t148 @t145)) % 0.45/0.90 (define @t365 () (@var "List" tptp.list_list_a)) % 0.45/0.90 (define @t366 () (@var "X23" tptp.list_list_a)) % 0.45/0.90 (define @t367 () (@var "X12" tptp.list_a)) % 0.45/0.90 (define @t368 () (@var "List" tptp.list_a)) % 0.45/0.90 (define @t369 () (@var "X23" tptp.list_a)) % 0.45/0.90 (define @t370 () (@var "X12" tptp.a)) % 0.45/0.90 (define @t371 () (@var "X223" tptp.list_list_a)) % 0.45/0.90 (define @t372 () (@var "X212" tptp.list_a)) % 0.45/0.90 (define @t373 () (@var "Y" tptp.list_list_a)) % 0.45/0.90 (define @t374 () (@var "X223" tptp.list_a)) % 0.45/0.90 (define @t375 () (@var "X212" tptp.a)) % 0.45/0.90 (define @t376 () (@list @t220 @t132)) % 0.45/0.90 (define @t377 () (not @t223)) % 0.45/0.90 (define @t378 () (@list @t134 @t220 @t221 @t132 @t142)) % 0.45/0.90 (define @t379 () (not @t233)) % 0.45/0.90 (define @t380 () (@list @t138 @t15 @t16 @t95 @t99)) % 0.45/0.90 (define @t381 () (@var "X22" tptp.list_list_a)) % 0.45/0.90 (define @t382 () (@var "X1" tptp.list_list_a)) % 0.45/0.90 (define @t383 () (_ (_ @t326 @t382) @t381)) % 0.45/0.90 (define @t384 () (_ (_ @t135 @t266) @t316)) % 0.45/0.90 (define @t385 () (not (_ (_ @t134 @t292) @t267))) % 0.45/0.90 (define @t386 () (_ (_ @t134 @t267) @t292)) % 0.45/0.90 (define @t387 () (not @t386)) % 0.45/0.90 (define @t388 () (@list @t267 @t292 @t266 @t316)) % 0.45/0.90 (define @t389 () (forall @t388 (=> @t386 @t330))) % 0.45/0.90 (define @t390 () (@list @t134 @t382 @t381 @t326)) % 0.45/0.90 (define @t391 () (_ (_ @t139 @t171) @t168)) % 0.45/0.90 (define @t392 () (not (_ (_ @t138 @t75) @t73))) % 0.45/0.90 (define @t393 () (_ @t138 @t73)) % 0.45/0.90 (define @t394 () (_ @t393 @t75)) % 0.45/0.90 (define @t395 () (not @t394)) % 0.45/0.90 (define @t396 () (forall @t183 (=> @t394 @t175))) % 0.45/0.90 (define @t397 () (@list @t138 @t165 @t164 @t166)) % 0.45/0.90 (define @t398 () (@var "Xs2" tptp.list_list_a)) % 0.45/0.90 (define @t399 () (@var "Less2" (-> tptp.list_a tptp.list_a Bool))) % 0.45/0.90 (define @t400 () (@var "X3" tptp.list_a)) % 0.45/0.90 (define @t401 () (not (_ (_ @t399 @t360) @t400))) % 0.45/0.90 (define @t402 () (_ (_ @t399 @t400) @t360)) % 0.45/0.90 (define @t403 () (not @t402)) % 0.45/0.90 (define @t404 () (@var "A23" tptp.list_list_a)) % 0.45/0.90 (define @t405 () (= @t404 @t361)) % 0.45/0.90 (define @t406 () (@var "A12" tptp.list_list_a)) % 0.45/0.90 (define @t407 () (= @t406 (_ (_ tptp.cons_list_a @t400) @t398))) % 0.45/0.90 (define @t408 () (@list @t400 @t360 @t398 @t359)) % 0.45/0.90 (define @t409 () (exists @t408 (and @t407 @t405 @t402))) % 0.45/0.90 (define @t410 () (= @t406 tptp.nil_list_a)) % 0.45/0.90 (define @t411 () (@list @t399 @t406 @t404)) % 0.45/0.90 (define @t412 () (@var "Less2" (-> tptp.a tptp.a Bool))) % 0.45/0.90 (define @t413 () (not (_ (_ @t412 @t148) @t147))) % 0.45/0.90 (define @t414 () (_ (_ @t412 @t147) @t148)) % 0.45/0.90 (define @t415 () (not @t414)) % 0.45/0.90 (define @t416 () (@var "A23" tptp.list_a)) % 0.45/0.90 (define @t417 () (= @t416 @t152)) % 0.45/0.90 (define @t418 () (@var "A12" tptp.list_a)) % 0.45/0.90 (define @t419 () (= @t418 @t155)) % 0.45/0.90 (define @t420 () (exists @t158 (and @t419 @t417 @t414))) % 0.45/0.90 (define @t421 () (= @t418 tptp.nil_a)) % 0.45/0.90 (define @t422 () (@list @t412 @t418 @t416)) % 0.45/0.90 (define @t423 () (= @t247 @t328)) % 0.45/0.90 (define @t424 () (@list @t316)) % 0.45/0.90 (define @t425 () (= @t239 @t269)) % 0.45/0.90 (define @t426 () (forall @t275 (=> (exists @t334 @t425) (forall (@list @t292) (=> (exists @t424 @t423) @t387))))) % 0.45/0.90 (define @t427 () (= @t239 tptp.nil_list_a)) % 0.45/0.90 (define @t428 () (@list @t134 @t239 @t247)) % 0.45/0.90 (define @t429 () (forall @t197 (=> @t196 (forall @t194 (=> @t193 @t395))))) % 0.45/0.90 (define @t430 () (@list @t138 @t156 @t153)) % 0.45/0.90 (define @t431 () (_ tptp.lexordp_a tptp.less)) % 0.45/0.90 (define @t432 () (_ @t431 tptp.nil_a)) % 0.45/0.90 (define @t433 () (_ (_ @t431 @t171) @t168)) % 0.45/0.90 (define @t434 () (=> @t160 (forall @t355 (not @t189)))) % 0.45/0.90 (define @t435 () (_ (_ @t431 @t156) @t153)) % 0.45/0.90 (define @t436 () (_ @t431 @t95)) % 0.45/0.90 (define @t437 () (_ @t436 @t99)) % 0.45/0.90 (define @t438 () (@list @t95 @t99)) % 0.45/0.90 (define @t439 () (not (_ @t436 @t95))) % 0.45/0.90 (define @t440 () (_ (_ @t431 @t203) @t201)) % 0.45/0.90 (define @t441 () (_ tptp.lexordp_list_a @t134)) % 0.45/0.90 (define @t442 () (_ @t441 @t132)) % 0.45/0.90 (define @t443 () (_ @t442 @t142)) % 0.45/0.90 (define @t444 () (_ (_ @t441 @t227) @t225)) % 0.45/0.90 (define @t445 () (_ tptp.lexordp_a @t138)) % 0.45/0.90 (define @t446 () (_ @t445 @t95)) % 0.45/0.90 (define @t447 () (_ @t446 @t99)) % 0.45/0.90 (define @t448 () (_ (_ @t445 @t203) @t201)) % 0.45/0.90 (define @t449 () (= @t142 tptp.nil_list_a)) % 0.45/0.90 (define @t450 () (not @t449)) % 0.45/0.90 (define @t451 () (_ @t441 tptp.nil_list_a)) % 0.45/0.90 (define @t452 () (= @t99 tptp.nil_a)) % 0.45/0.90 (define @t453 () (not @t452)) % 0.45/0.90 (define @t454 () (_ @t445 tptp.nil_a)) % 0.45/0.90 (define @t455 () (_ (_ @t441 @t266) @t316)) % 0.45/0.90 (define @t456 () (_ (_ @t445 @t171) @t168)) % 0.45/0.90 (define @t457 () (_ tptp.append_a @t95)) % 0.45/0.90 (define @t458 () (_ @t457 @t99)) % 0.45/0.90 (define @t459 () (@list @t99 @t95)) % 0.45/0.90 (define @t460 () (@var "Us" tptp.list_a)) % 0.45/0.90 (define @t461 () (_ tptp.append_a @t460)) % 0.45/0.90 (define @t462 () (_ @t461 @t201)) % 0.45/0.90 (define @t463 () (_ @t461 @t203)) % 0.45/0.90 (define @t464 () (@var "Vs" tptp.list_a)) % 0.45/0.90 (define @t465 () (_ (_ @t431 @t460) @t464)) % 0.45/0.90 (define @t466 () (@list @t124)) % 0.45/0.90 (define @t467 () (_ @t457 @t464)) % 0.45/0.90 (define @t468 () (_ @t457 @t460)) % 0.45/0.90 (define @t469 () (_ (_ @t431 @t468) @t467)) % 0.45/0.90 (define @t470 () (@var "V" tptp.list_a)) % 0.45/0.90 (define @t471 () (@var "U" tptp.list_a)) % 0.45/0.90 (define @t472 () (_ (_ tptp.append_a @t471) @t470)) % 0.45/0.90 (define @t473 () (@var "Zs2" tptp.list_list_a)) % 0.45/0.90 (define @t474 () (= @t142 @t473)) % 0.45/0.90 (define @t475 () (_ tptp.append_list_a @t132)) % 0.45/0.90 (define @t476 () (_ @t475 @t142)) % 0.45/0.90 (define @t477 () (@list @t132 @t142 @t473)) % 0.45/0.90 (define @t478 () (@var "Zs2" tptp.list_a)) % 0.45/0.90 (define @t479 () (= @t99 @t478)) % 0.45/0.90 (define @t480 () (@list @t95 @t99 @t478)) % 0.45/0.90 (define @t481 () (_ tptp.append_list_a @t473)) % 0.45/0.90 (define @t482 () (_ tptp.append_list_a @t142)) % 0.45/0.90 (define @t483 () (_ tptp.append_a @t478)) % 0.45/0.90 (define @t484 () (_ tptp.append_a @t99)) % 0.45/0.90 (define @t485 () (_ @t482 @t473)) % 0.45/0.90 (define @t486 () (_ @t484 @t478)) % 0.45/0.90 (define @t487 () (@var "C" tptp.list_list_a)) % 0.45/0.90 (define @t488 () (@var "B" tptp.list_list_a)) % 0.45/0.90 (define @t489 () (@var "A" tptp.list_list_a)) % 0.45/0.90 (define @t490 () (_ tptp.append_list_a @t489)) % 0.45/0.90 (define @t491 () (_ tptp.append_a @t129)) % 0.45/0.90 (define @t492 () (@list @t489)) % 0.45/0.90 (define @t493 () (@list @t129)) % 0.45/0.90 (define @t494 () (and @t133 @t449)) % 0.45/0.90 (define @t495 () (@list @t132 @t142)) % 0.45/0.90 (define @t496 () (and @t111 @t452)) % 0.45/0.90 (define @t497 () (@list @t142 @t132)) % 0.45/0.90 (define @t498 () (= @t132 @t142)) % 0.45/0.90 (define @t499 () (_ @t226 tptp.nil_list_a)) % 0.45/0.90 (define @t500 () (_ @t475 @t499)) % 0.45/0.90 (define @t501 () (= @t95 @t99)) % 0.45/0.90 (define @t502 () (_ @t202 tptp.nil_a)) % 0.45/0.90 (define @t503 () (_ @t457 @t502)) % 0.45/0.90 (define @t504 () (_ tptp.append_list_a tptp.nil_list_a)) % 0.45/0.90 (define @t505 () (_ tptp.append_a tptp.nil_a)) % 0.45/0.90 (define @t506 () (_ @t504 @t142)) % 0.45/0.90 (define @t507 () (_ @t505 @t99)) % 0.45/0.90 (define @t508 () (= @t227 @t485)) % 0.45/0.90 (define @t509 () (@var "Xs1" tptp.list_list_a)) % 0.45/0.90 (define @t510 () (_ tptp.append_list_a @t509)) % 0.45/0.90 (define @t511 () (= @t203 @t486)) % 0.45/0.90 (define @t512 () (@var "Xs1" tptp.list_a)) % 0.45/0.90 (define @t513 () (_ tptp.append_a @t512)) % 0.45/0.90 (define @t514 () (@var "Vs" tptp.list_list_a)) % 0.45/0.90 (define @t515 () (@var "Us" tptp.list_list_a)) % 0.45/0.90 (define @t516 () (_ (_ @t441 @t515) @t514)) % 0.45/0.90 (define @t517 () (_ (_ @t441 (_ @t475 @t515)) (_ @t475 @t514))) % 0.45/0.90 (define @t518 () (_ (_ @t445 @t460) @t464)) % 0.45/0.90 (define @t519 () (_ (_ @t445 @t468) @t467)) % 0.45/0.90 (define @t520 () (@var "V" tptp.list_list_a)) % 0.45/0.90 (define @t521 () (@var "U" tptp.list_list_a)) % 0.45/0.90 (define @t522 () (@var "Ts" tptp.list_list_a)) % 0.45/0.90 (define @t523 () (@var "Us2" tptp.list_list_a)) % 0.45/0.90 (define @t524 () (_ tptp.append_list_a @t523)) % 0.45/0.90 (define @t525 () (@var "Ts" tptp.list_a)) % 0.45/0.90 (define @t526 () (@var "Us2" tptp.list_a)) % 0.45/0.90 (define @t527 () (_ tptp.append_a @t526)) % 0.45/0.90 (define @t528 () (_ tptp.append_list_a @t266)) % 0.45/0.90 (define @t529 () (=> @t271 (_ @t264 (_ @t528 @t274)))) % 0.45/0.90 (define @t530 () (_ tptp.append_a @t171)) % 0.45/0.90 (define @t531 () (=> @t282 (_ @t279 (_ @t530 @t285)))) % 0.45/0.90 (define @t532 () (@var "Ys4" tptp.list_list_a)) % 0.45/0.90 (define @t533 () (_ (_ tptp.append_list_a @t532) @t473)) % 0.45/0.90 (define @t534 () (_ @t226 @t532)) % 0.45/0.90 (define @t535 () (@list @t532)) % 0.45/0.90 (define @t536 () (@var "Ys4" tptp.list_a)) % 0.45/0.90 (define @t537 () (_ (_ tptp.append_a @t536) @t478)) % 0.45/0.90 (define @t538 () (_ @t202 @t536)) % 0.45/0.90 (define @t539 () (@list @t536)) % 0.45/0.90 (define @t540 () (_ tptp.append_list_a @t515)) % 0.45/0.90 (define @t541 () (_ @t323 tptp.nil_list_list_a)) % 0.45/0.90 (define @t542 () (_ @t325 tptp.nil_list_a)) % 0.45/0.90 (define @t543 () (@var "F" (-> tptp.a tptp.list_list_a))) % 0.45/0.90 (define @t544 () (_ tptp.append_list_a (_ @t543 @t15))) % 0.45/0.90 (define @t545 () (@var "F" (-> tptp.list_a tptp.list_a))) % 0.45/0.90 (define @t546 () (_ tptp.append_a (_ @t545 @t220))) % 0.45/0.90 (define @t547 () (@var "F" (-> tptp.list_a tptp.list_list_a))) % 0.45/0.90 (define @t548 () (_ tptp.append_list_a (_ @t547 @t220))) % 0.45/0.90 (define @t549 () (@var "F" (-> tptp.a tptp.list_a))) % 0.45/0.90 (define @t550 () (_ tptp.append_a (_ @t549 @t15))) % 0.45/0.90 (define @t551 () (@list @t543)) % 0.45/0.90 (define @t552 () (@list @t545)) % 0.45/0.90 (define @t553 () (@list @t547)) % 0.45/0.90 (define @t554 () (@list @t549)) % 0.45/0.90 (define @t555 () (_ tptp.abel_s2117090225ioms_a @t105)) % 0.45/0.90 (define @t556 () (_ tptp.semilattice_axioms_a @t105)) % 0.45/0.90 (define @t557 () (_ tptp.maps_a_list_a @t543)) % 0.45/0.90 (define @t558 () (_ tptp.maps_list_a_a @t545)) % 0.45/0.90 (define @t559 () (_ tptp.maps_list_a_list_a @t547)) % 0.45/0.90 (define @t560 () (_ tptp.maps_a_a @t549)) % 0.45/0.90 (define @t561 () (@var "Xss22" tptp.list_list_list_a)) % 0.45/0.90 (define @t562 () (@var "Xs4" tptp.list_list_a)) % 0.45/0.90 (define @t563 () (@var "Xss1" tptp.list_list_list_a)) % 0.45/0.90 (define @t564 () (@var "Xss2" tptp.list_list_list_a)) % 0.45/0.90 (define @t565 () (= @t564 tptp.nil_list_list_a)) % 0.45/0.90 (define @t566 () (not @t565)) % 0.45/0.90 (define @t567 () (= (_ tptp.concat_list_a @t564) @t485)) % 0.45/0.90 (define @t568 () (@list @t564 @t142 @t473)) % 0.45/0.90 (define @t569 () (@var "Xss22" tptp.list_list_a)) % 0.45/0.90 (define @t570 () (@var "Xs4" tptp.list_a)) % 0.45/0.90 (define @t571 () (@var "Xss1" tptp.list_list_a)) % 0.45/0.90 (define @t572 () (@var "Xss2" tptp.list_list_a)) % 0.45/0.90 (define @t573 () (= @t572 tptp.nil_list_a)) % 0.45/0.90 (define @t574 () (not @t573)) % 0.45/0.90 (define @t575 () (= (_ tptp.concat_a @t572) @t486)) % 0.45/0.90 (define @t576 () (@list @t572 @t99 @t478)) % 0.45/0.90 (define @t577 () (@var "Ys" tptp.list_list_list_a)) % 0.45/0.90 (define @t578 () (@var "Xs" tptp.list_list_list_a)) % 0.45/0.90 (define @t579 () (_ tptp.concat_list_a @t578)) % 0.45/0.90 (define @t580 () (_ tptp.concat_a @t132)) % 0.45/0.90 (define @t581 () (@var "Xss23" tptp.list_list_list_a)) % 0.45/0.90 (define @t582 () (@var "Xs5" tptp.list_list_a)) % 0.45/0.90 (define @t583 () (@var "Xss12" tptp.list_list_list_a)) % 0.45/0.90 (define @t584 () (@var "Xss23" tptp.list_list_a)) % 0.45/0.90 (define @t585 () (@var "Xs5" tptp.list_a)) % 0.45/0.90 (define @t586 () (@var "Xss12" tptp.list_list_a)) % 0.45/0.90 (define @t587 () (@list @t132 @t220)) % 0.45/0.90 (define @t588 () (@list @t95 @t15)) % 0.45/0.90 (define @t589 () (@var "P" (-> tptp.a Bool))) % 0.45/0.90 (define @t590 () (_ tptp.butlast_list_a @t142)) % 0.45/0.90 (define @t591 () (_ tptp.butlast_list_a @t476)) % 0.45/0.90 (define @t592 () (_ tptp.butlast_list_a @t132)) % 0.45/0.90 (define @t593 () (_ tptp.butlast_a @t99)) % 0.45/0.90 (define @t594 () (_ tptp.butlast_a @t458)) % 0.45/0.90 (define @t595 () (_ tptp.butlast_a @t95)) % 0.45/0.90 (define @t596 () (_ tptp.butlast_list_a @t227)) % 0.45/0.90 (define @t597 () (_ tptp.butlast_a @t203)) % 0.45/0.90 (define @t598 () (_ tptp.last_a @t95)) % 0.45/0.90 (define @t599 () (_ tptp.last_list_a @t142)) % 0.45/0.90 (define @t600 () (_ tptp.last_a @t99)) % 0.45/0.90 (define @t601 () (_ tptp.last_a @t458)) % 0.45/0.90 (define @t602 () (_ (_ tptp.sup tptp.b) tptp.c)) % 0.45/0.90 (define @t603 () (_ tptp.inf tptp.c)) % 0.45/0.90 (define @t604 () (_ @t603 @t602)) % 0.45/0.90 (define @t605 () (_ tptp.less tptp.b)) % 0.45/0.90 (define @t606 () (_ @t605 @t602)) % 0.45/0.90 (define @t607 () (@var "C3" tptp.list_a)) % 0.45/0.90 (define @t608 () (@var "B3" tptp.list_a)) % 0.45/0.90 (define @t609 () (@var "F2" (-> tptp.list_a tptp.list_a tptp.list_a))) % 0.45/0.90 (define @t610 () (@var "A3" tptp.list_a)) % 0.45/0.90 (define @t611 () (_ @t609 @t610)) % 0.45/0.90 (define @t612 () (@list @t609)) % 0.45/0.90 (define @t613 () (lambda @t612 (forall (@list @t610 @t608 @t607) (= (_ (_ @t609 (_ @t611 @t608)) @t607) (_ @t611 (_ (_ @t609 @t608) @t607)))))) % 0.45/0.90 (define @t614 () (@var "C3" tptp.a)) % 0.45/0.90 (define @t615 () (@var "B3" tptp.a)) % 0.45/0.90 (define @t616 () (@var "F2" (-> tptp.a tptp.a tptp.a))) % 0.45/0.90 (define @t617 () (_ @t616 @t615)) % 0.45/0.90 (define @t618 () (@var "A3" tptp.a)) % 0.45/0.90 (define @t619 () (_ @t616 @t618)) % 0.45/0.90 (define @t620 () (_ @t619 @t615)) % 0.45/0.90 (define @t621 () (@list @t616)) % 0.45/0.90 (define @t622 () (lambda @t621 (forall (@list @t618 @t615 @t614) (= (_ (_ @t616 @t620) @t614) (_ @t619 (_ @t617 @t614)))))) % 0.45/0.90 (define @t623 () (lambda @t612 (and (_ tptp.semigroup_list_a @t609) (_ tptp.abel_s374399671list_a @t609)))) % 0.45/0.90 (define @t624 () (lambda @t621 (and (_ tptp.semigroup_a @t616) (_ tptp.abel_s2117090225ioms_a @t616)))) % 0.45/0.90 (define @t625 () (lambda @t621 (forall (@list @t618 @t615) (= @t620 (_ @t617 @t618))))) % 0.45/0.90 (define @t626 () (lambda @t621 (and (_ tptp.abel_semigroup_a @t616) (_ tptp.semilattice_axioms_a @t616)))) % 0.45/0.90 (define @t627 () (tptp.sup tptp.b tptp.c)) % 0.45/0.90 (define @t628 () (tptp.inf tptp.c @t627)) % 0.45/0.90 (define @t629 () (tptp.sup @t2 @t2)) % 0.45/0.90 (define @t630 () (= @t2 @t78)) % 0.45/0.90 (define @t631 () (not (= @t1 @t2))) % 0.45/0.90 (define @t632 () (tptp.inf @t2 @t1)) % 0.45/0.90 (define @t633 () (and @t64 @t631)) % 0.45/0.90 (define @t634 () (tptp.less @t2 @t1)) % 0.45/0.90 (define @t635 () (= @t4 @t633)) % 0.45/0.90 (define @t636 () (not (= @t627 tptp.b))) % 0.45/0.90 (define @t637 () (tptp.inf tptp.b @t627)) % 0.45/0.90 (define @t638 () (= tptp.b @t637)) % 0.45/0.90 (define @t639 () (and @t638 @t636)) % 0.45/0.90 (define @t640 () (tptp.less tptp.b @t627)) % 0.45/0.90 (define @t641 () (= @t640 @t639)) % 0.45/0.90 (define @t642 () (forall @t23 (= @t634 (and (= @t2 @t632) @t631)))) % 0.45/0.90 (define @t643 () (= tptp.b @t627)) % 0.45/0.90 (define @t644 () (not @t643)) % 0.45/0.90 (define @t645 () (and @t638 @t644)) % 0.45/0.90 (define @t646 () (= @t640 @t645)) % 0.45/0.90 (define @t647 () (@list false)) % 0.45/0.90 (define @t648 () (= tptp.b @t628)) % 0.45/0.90 (define @t649 () (= tptp.c @t628)) % 0.45/0.90 (define @t650 () (tptp.sup tptp.b tptp.b)) % 0.45/0.90 (define @t651 () (= tptp.b @t650)) % 0.45/0.90 (define @t652 () (and @t648 @t649 @t651)) % 0.45/0.90 (assume @p1 (forall @t7 (=> @t6 (not @t4)))) % 0.45/0.90 (assume @p2 (forall @t7 (=> @t6 @t9))) % 0.45/0.90 (assume @p3 (forall @t14 (=> @t6 (=> @t13 @t12)))) % 0.45/0.90 (assume @p4 (forall @t22 (=> @t21 @t19))) % 0.45/0.90 (assume @p5 (forall @t23 (=> @t4 (not @t6)))) % 0.45/0.90 (assume @p6 (forall @t22 (=> @t21 (not @t24)))) % 0.45/0.90 (assume @p7 (forall @t22 (=> @t21 (not (= @t16 @t15))))) % 0.45/0.90 (assume @p8 (forall (@list @t15 @t16 @t25) (=> @t21 (=> @t18 @t25)))) % 0.45/0.90 (assume @p9 (forall @t26 (not (_ @t20 @t15)))) % 0.45/0.90 (assume @p10 (forall @t28 (=> @t21 (=> (_ @t17 @t27) (_ @t20 @t27))))) % 0.45/0.90 (assume @p11 (forall @t32 (=> @t8 @t31))) % 0.45/0.90 (assume @p12 (forall @t32 (=> @t4 (=> (= @t1 @t10) @t29)))) % 0.45/0.90 (assume @p13 (forall @t33 (not (_ @t3 @t2)))) % 0.45/0.90 (assume @p14 (forall @t23 (=> @t4 @t9))) % 0.45/0.90 (assume @p15 (forall @t32 (=> @t4 @t31))) % 0.45/0.90 (assume @p16 (forall @t32 (= (_ @t39 @t10) @t37))) % 0.45/0.90 (assume @p17 (forall @t23 (= @t38 (_ @t34 @t2)))) % 0.45/0.90 (assume @p18 (forall @t14 (= (_ @t34 @t40) @t37))) % 0.45/0.90 (assume @p19 (forall @t28 (= (_ @t46 @t27) @t44))) % 0.45/0.90 (assume @p20 (forall @t22 (= @t45 (_ @t41 @t15)))) % 0.45/0.90 (assume @p21 (forall @t28 (= @t44 (_ @t41 @t47)))) % 0.45/0.90 (assume @p22 (forall @t32 (= (_ @t53 @t10) @t51))) % 0.45/0.90 (assume @p23 (forall @t23 (= @t52 (_ @t48 @t2)))) % 0.45/0.90 (assume @p24 (forall @t14 (= (_ @t48 @t54) @t51))) % 0.45/0.90 (assume @p25 (forall @t28 (= (_ (_ tptp.sup @t59) @t27) @t58))) % 0.45/0.90 (assume @p26 (forall @t22 (= @t59 (_ @t55 @t15)))) % 0.45/0.90 (assume @p27 (forall @t28 (= @t58 (_ @t55 @t60)))) % 0.45/0.90 (assume @p28 (forall @t32 (=> (_ @t3 @t35) (not (=> @t4 (not @t29)))))) % 0.45/0.90 (assume @p29 (forall (@list @t2 @t10 @t1) (=> @t29 @t62))) % 0.45/0.90 (assume @p30 (forall @t63 (=> @t30 @t62))) % 0.45/0.90 (assume @p31 @t67) % 0.45/0.90 (assume @p32 (forall (@list @t2 @t15 @t1) (=> (_ @t3 @t15) @t68))) % 0.45/0.90 (assume @p33 (forall (@list @t1 @t15 @t2) (=> (_ @t5 @t15) @t68))) % 0.45/0.90 (assume @p34 (forall (@list @t15 @t2 @t1) (=> (_ @t20 @t2) @t69))) % 0.45/0.90 (assume @p35 (forall (@list @t15 @t1 @t2) (=> (_ @t20 @t1) @t69))) % 0.45/0.90 (assume @p36 (forall @t63 (=> (_ (_ tptp.less @t49) @t2) (not (=> @t6 (not @t12)))))) % 0.45/0.90 (assume @p37 (forall @t71 (=> @t12 @t70))) % 0.45/0.90 (assume @p38 (forall (@list @t10 @t1 @t2) (=> @t13 @t70))) % 0.45/0.90 (assume @p39 (forall @t7 (= @t6 (and (= @t2 @t52) @t9)))) % 0.45/0.90 (assume @p40 (forall @t28 (=> (forall @t76 (= (_ @t74 (_ (_ tptp.sup @t75) @t72)) (_ (_ tptp.sup (_ @t74 @t75)) (_ @t74 @t72)))) (= (_ @t57 @t42) (_ (_ tptp.inf @t59) @t60))))) % 0.45/0.90 (assume @p41 (forall @t28 (=> (forall @t76 (= (_ @t77 (_ (_ tptp.inf @t75) @t72)) (_ (_ tptp.inf (_ @t77 @t75)) (_ @t77 @t72)))) (= (_ @t43 @t56) (_ (_ tptp.sup @t45) @t47))))) % 0.45/0.90 (assume @p42 (forall @t33 (= (_ @t36 @t2) @t2))) % 0.45/0.90 (assume @p43 (forall @t23 (= (_ @t36 @t38) @t38))) % 0.45/0.90 (assume @p44 (forall @t23 (= (_ @t39 @t1) @t38))) % 0.45/0.90 (assume @p45 (forall @t26 (= (_ @t43 @t15) @t15))) % 0.45/0.90 (assume @p46 (forall @t22 (= (_ @t43 @t45) @t45))) % 0.45/0.90 (assume @p47 (forall @t22 (= (_ @t46 @t16) @t45))) % 0.45/0.90 (assume @p48 @t79) % 0.45/0.90 (assume @p49 (forall @t23 (= (_ @t50 @t52) @t52))) % 0.45/0.90 (assume @p50 (forall @t23 (= (_ @t53 @t1) @t52))) % 0.45/0.90 (assume @p51 (forall @t26 (= (_ @t57 @t15) @t15))) % 0.45/0.90 (assume @p52 (forall @t22 (= (_ @t57 @t59) @t59))) % 0.45/0.90 (assume @p53 (forall @t32 (= (_ (_ (_ (_ (_ (_ tptp.modula1376131916tice_a tptp.inf) tptp.less) tptp.sup) @t2) @t1) @t10) (and (= @t38 @t35) (= @t82 @t35) (= @t52 @t49) (= @t80 @t49) (_ @t61 @t52))))) % 0.45/0.90 (assume @p54 (forall @t32 (= (_ (_ (_ (_ (_ (_ tptp.modula397570059tice_a tptp.inf) tptp.less) tptp.sup) @t2) @t1) @t10) (and (= @t40 @t35) @t4 (= @t54 @t49))))) % 0.45/0.90 (assume @p55 (forall @t32 (= (_ (_ (_ (_ (_ (_ tptp.modula1962211574trib_a tptp.inf) tptp.less) tptp.sup) @t2) @t1) @t10) (_ (_ tptp.less (_ @t84 @t82)) @t83)))) % 0.45/0.90 (assume @p56 (forall @t22 (= (_ @t43 @t59) @t15))) % 0.45/0.90 (assume @p57 (forall @t22 (= (_ @t57 @t45) @t15))) % 0.45/0.90 (assume @p58 (forall @t32 (= (_ @t50 @t86) (_ @t50 @t35)))) % 0.45/0.90 (assume @p59 (forall @t14 (= (_ @t48 @t86) (_ @t48 @t82)))) % 0.45/0.90 (assume @p60 (forall @t32 (= @t86 (_ (_ tptp.sup (_ @t84 @t35)) @t82)))) % 0.45/0.90 (assume @p61 (forall @t63 (= (_ (_ (_ @t85 @t1) @t10) @t2) @t86))) % 0.45/0.90 (assume @p62 (forall @t71 (= (_ (_ (_ @t85 @t10) @t2) @t1) @t86))) % 0.45/0.90 (assume @p63 (forall @t32 (= @t89 @t83))) % 0.45/0.90 (assume @p64 (forall @t14 (= @t90 (_ @t34 @t80)))) % 0.45/0.90 (assume @p65 (forall @t71 (= @t91 (_ @t81 @t52)))) % 0.45/0.90 (assume @p66 (forall @t32 (= @t88 (_ (_ tptp.inf (_ (_ tptp.inf @t52) @t49)) @t80)))) % 0.45/0.90 (assume @p67 (forall @t63 (= (_ (_ (_ @t87 @t1) @t10) @t2) @t88))) % 0.45/0.90 (assume @p68 (forall @t71 (= (_ (_ (_ @t87 @t10) @t2) @t1) @t88))) % 0.45/0.90 (assume @p69 (_ tptp.finite40241356em_a_a tptp.sup)) % 0.45/0.90 (assume @p70 (_ tptp.finite40241356em_a_a tptp.inf)) % 0.45/0.90 (assume @p71 (forall @t32 (= @t92 (_ (_ tptp.sup @t91) @t86)))) % 0.45/0.90 (assume @p72 (forall @t32 (= @t93 (_ (_ tptp.sup @t90) @t86)))) % 0.45/0.90 (assume @p73 (forall @t32 (= (_ (_ (_ @t94 @t2) @t1) @t10) (_ (_ tptp.sup @t89) @t86)))) % 0.45/0.90 (assume @p74 (= tptp.modula1962211574trib_a tptp.modula1962211574trib_a)) % 0.45/0.90 (assume @p75 (= tptp.modula397570059tice_a tptp.modula397570059tice_a)) % 0.45/0.90 (assume @p76 (= tptp.modula1376131916tice_a tptp.modula1376131916tice_a)) % 0.45/0.90 (assume @p77 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a)) % 0.45/0.90 (assume @p78 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a)) % 0.45/0.90 (assume @p79 (forall @t32 (= @t92 (_ (_ (_ @t94 @t10) @t2) @t1)))) % 0.45/0.90 (assume @p80 (forall @t32 (= @t93 (_ (_ (_ @t94 @t1) @t10) @t2)))) % 0.45/0.90 (assume @p81 (_ tptp.semigroup_a tptp.sup)) % 0.45/0.90 (assume @p82 (_ tptp.semigroup_a tptp.inf)) % 0.45/0.90 (assume @p83 (_ tptp.semilattice_a tptp.sup)) % 0.45/0.90 (assume @p84 (_ tptp.semilattice_a tptp.inf)) % 0.45/0.90 (assume @p85 (= tptp.modula17988509_aux_a tptp.modula17988509_aux_a)) % 0.45/0.90 (assume @p86 (= tptp.modula1373251614_aux_a tptp.modula1373251614_aux_a)) % 0.45/0.90 (assume @p87 (= tptp.modula581031071_aux_a tptp.modula581031071_aux_a)) % 0.45/0.90 (assume @p88 (_ tptp.abel_semigroup_a tptp.sup)) % 0.45/0.90 (assume @p89 (_ tptp.abel_semigroup_a tptp.inf)) % 0.45/0.90 (assume @p90 (_ tptp.lattic1885654924_set_a tptp.sup)) % 0.45/0.90 (assume @p91 (_ tptp.lattic1885654924_set_a tptp.inf)) % 0.45/0.90 (assume @p92 (forall @t98 (_ @t97 @t95))) % 0.45/0.90 (assume @p93 (forall @t100 (_ (_ @t96 tptp.nil_a) @t99))) % 0.45/0.90 (assume @p94 (forall @t104 (=> @t103 @t102))) % 0.45/0.90 (assume @p95 (forall @t108 (=> @t107 @t106))) % 0.45/0.90 (assume @p96 (forall @t108 (=> @t110 @t109))) % 0.45/0.90 (assume @p97 (forall @t108 (=> @t109 @t110))) % 0.45/0.90 (assume @p98 (= tptp.lattic1885654924_set_a tptp.semilattice_a)) % 0.45/0.90 (assume @p99 (forall @t98 (= (_ @t97 tptp.nil_a) @t111))) % 0.45/0.90 (assume @p100 (forall (@list @t105 @t1 @t2 @t10) (=> @t107 (= (_ @t112 (_ @t113 @t10)) @t114)))) % 0.45/0.90 (assume @p101 (forall @t116 (=> @t107 (= @t115 (_ @t112 @t2))))) % 0.45/0.90 (assume @p102 (forall @t104 (=> (forall (@list @t119 @t118 @t117) (= (_ (_ @t101 (_ @t120 @t118)) @t117) (_ @t120 (_ (_ @t101 @t118) @t117)))) @t102))) % 0.45/0.90 (assume @p103 (forall @t108 (=> (forall (@list @t124 @t122 @t121) (= (_ (_ @t105 @t126) @t121) (_ @t125 (_ @t123 @t121)))) @t106))) % 0.45/0.90 (assume @p104 (forall (@list @t101 @t129 @t128 @t127) (=> @t102 (= (_ (_ @t101 (_ @t130 @t128)) @t127) (_ @t130 (_ (_ @t101 @t128) @t127)))))) % 0.45/0.90 (assume @p105 (forall (@list @t105 @t2 @t1 @t10) (=> @t106 (= (_ @t131 @t10) @t114)))) % 0.45/0.90 (assume @p106 (forall @t137 (= (_ @t136 tptp.nil_list_a) @t133))) % 0.45/0.90 (assume @p107 (forall @t141 (= (_ @t140 tptp.nil_a) @t111))) % 0.45/0.90 (assume @p108 (forall @t143 (_ (_ @t135 tptp.nil_list_a) @t142))) % 0.45/0.90 (assume @p109 (forall @t144 (_ (_ @t139 tptp.nil_a) @t99))) % 0.45/0.90 (assume @p110 (forall @t163 (= @t162 (or (exists @t161 (and @t160 (= @t153 @t145))) @t159 (exists @t158 (and @t157 @t154 @t151 @t149 (_ (_ @t96 @t146) @t145))))))) % 0.45/0.90 (assume @p111 (forall @t188 (=> (_ (_ @t96 @t165) @t164) (=> @t187 (=> @t184 (=> (forall @t183 (=> @t182 (=> @t179 (=> @t178 @t177)))) @t167)))))) % 0.45/0.90 (assume @p112 (forall @t163 (=> @t162 (=> @t199 (=> @t198 (not (forall @t192 (=> @t191 (forall @t190 (=> @t189 (=> @t182 (=> @t179 (not @t178))))))))))))) % 0.45/0.90 (assume @p113 (forall @t208 (=> @t207 (=> @t19 (=> @t206 @t205))))) % 0.45/0.90 (assume @p114 (forall @t208 (=> @t21 @t205))) % 0.45/0.90 (assume @p115 (forall (@list @t212 @t210 @t211 @t209) (= (= @t213 (_ (_ tptp.cons_list_a @t211) @t209)) (and (= @t212 @t211) (= @t210 @t209))))) % 0.45/0.90 (assume @p116 (forall (@list @t217 @t215 @t216 @t214) (= (= @t218 (_ (_ tptp.cons_a @t216) @t214)) (and (= @t217 @t216) (= @t215 @t214))))) % 0.45/0.90 (assume @p117 (forall @t230 (= @t229 (or @t223 (and @t222 @t219))))) % 0.45/0.90 (assume @p118 (forall @t236 (= @t235 (or @t233 (and @t232 @t231))))) % 0.45/0.90 (assume @p119 (forall (@list @t134 @t220 @t132) (not (_ @t228 tptp.nil_list_a)))) % 0.45/0.90 (assume @p120 (forall (@list @t138 @t15 @t95) (not (_ @t234 tptp.nil_a)))) % 0.45/0.90 (assume @p121 (forall @t237 (= @t205 (or @t21 (and @t19 @t206))))) % 0.45/0.90 (assume @p122 (forall @t238 (not (_ @t204 tptp.nil_a)))) % 0.45/0.90 (assume @p123 (forall (@list @t241 @t240 @t239 @t153) (=> (forall (@list @t245 @t185) (_ (_ @t246 tptp.nil_list_a) @t185)) (=> (forall (@list @t245 @t119 @t243 @t242) (=> (_ (_ @t246 @t243) (_ (_ tptp.cons_a (_ @t245 @t119)) @t242)) (_ (_ @t246 @t244) @t242))) (_ (_ (_ @t241 @t240) @t239) @t153))))) % 0.45/0.90 (assume @p124 (forall (@list @t249 @t248 @t156 @t247) (=> (forall (@list @t253 @t255) (_ (_ @t254 tptp.nil_a) @t255)) (=> (forall (@list @t253 @t124 @t251 @t250) (=> (_ (_ @t254 @t251) (_ (_ tptp.cons_list_a (_ @t253 @t124)) @t250)) (_ (_ @t254 @t252) @t250))) (_ (_ (_ @t249 @t248) @t156) @t247))))) % 0.45/0.90 (assume @p125 (forall (@list @t257 @t256 @t239 @t247) (=> (forall (@list @t258 @t255) (_ (_ @t259 tptp.nil_list_a) @t255)) (=> (forall (@list @t258 @t119 @t243 @t250) (=> (_ (_ @t259 @t243) (_ (_ tptp.cons_list_a (_ @t258 @t119)) @t250)) (_ (_ @t259 @t244) @t250))) (_ (_ (_ @t257 @t256) @t239) @t247))))) % 0.45/0.90 (assume @p126 (forall (@list @t261 @t260 @t156 @t153) (=> (forall (@list @t262 @t185) (_ (_ @t263 tptp.nil_a) @t185)) (=> (forall (@list @t262 @t124 @t251 @t242) (=> (_ (_ @t263 @t251) (_ (_ tptp.cons_a (_ @t262 @t124)) @t242)) (_ (_ @t263 @t252) @t242))) (_ (_ (_ @t261 @t260) @t156) @t153))))) % 0.45/0.90 (assume @p127 (forall @t278 (=> @t277 (=> @t276 (=> (forall @t273 (=> @t272 (=> @t271 @t270))) @t265))))) % 0.45/0.90 (assume @p128 (forall @t288 (=> @t287 (=> @t286 (=> (forall @t284 (=> @t283 (=> @t282 @t281))) @t280))))) % 0.45/0.90 (assume @p129 (forall @t299 (=> @t298 (=> (forall (@list @t296 @t267) (_ @t297 @t274)) (=> (forall (@list @t296 @t267 @t292 @t266) (=> (_ @t297 @t294) (_ @t297 @t295))) @t291))))) % 0.45/0.90 (assume @p130 (forall @t308 (=> @t307 (=> (forall (@list @t305 @t73) (_ @t306 @t285)) (=> (forall (@list @t305 @t73 @t75 @t171) (=> (_ @t306 @t303) (_ @t306 @t304))) @t302))))) % 0.45/0.90 (assume @p131 (forall (@list @t264 @t309) (=> @t312 (=> @t276 (=> (forall @t311 (=> (=> @t310 @t270) (=> (=> (not @t310) (_ @t264 @t294)) (_ @t264 @t295)))) (_ @t264 @t309)))))) % 0.45/0.90 (assume @p132 (forall (@list @t279 @t313) (=> @t315 (=> @t286 (=> (forall @t192 (=> (=> @t314 @t281) (=> (=> (not @t314) (_ @t279 @t303)) (_ @t279 @t304)))) (_ @t279 @t313)))))) % 0.45/0.90 (assume @p133 (forall @t299 (=> @t298 (=> (forall (@list @t296 @t267 @t316) (=> (_ @t297 @t316) (_ @t297 (_ @t268 @t316)))) @t291)))) % 0.45/0.90 (assume @p134 (forall @t308 (=> @t307 (=> (forall (@list @t305 @t73 @t168) (=> (_ @t306 @t168) (_ @t306 (_ @t172 @t168)))) @t302)))) % 0.45/0.90 (assume @p135 (forall @t319 (=> @t318 (=> (forall @t275 (not (= @t317 @t274))) (not (forall @t311 (not (= @t317 @t295)))))))) % 0.45/0.90 (assume @p136 (forall @t320 (=> (not (= @t220 tptp.nil_a)) (=> (forall @t197 (not (= @t220 @t285))) (not (forall @t192 (not (= @t220 @t304)))))))) % 0.45/0.90 (assume @p137 (forall (@list @t322) (=> (not (= @t322 tptp.nil_list_list_a)) (=> (forall (@list @t321) (not (= @t322 (_ @t323 @t321)))) (not (forall (@list @t267 @t266 @t321) (not (= @t322 (_ (_ tptp.cons_list_list_a @t269) @t321))))))))) % 0.45/0.90 (assume @p138 (forall @t319 (=> @t318 (=> (forall (@list @t324) (not (= @t317 (_ @t325 @t324)))) (not (forall (@list @t73 @t171 @t324) (not (= @t317 (_ (_ tptp.cons_list_a @t173) @t324))))))))) % 0.45/0.90 (assume @p139 (forall @t337 (=> @t336 (=> (forall @t334 (_ @t332 tptp.nil_list_a)) (=> (forall @t333 (=> (_ @t332 @t328) (=> @t331 @t330))) @t327))))) % 0.45/0.90 (assume @p140 (forall @t341 (=> @t187 (=> (forall @t195 (_ @t176 tptp.nil_a)) (=> (forall @t340 (=> (_ @t176 @t170) (=> @t339 @t175))) @t338))))) % 0.45/0.90 (assume @p141 (forall @t344 (=> @t312 (=> @t276 (=> (forall (@list @t267 @t292 @t342) (=> (_ @t264 @t342) (=> (_ @t264 @t343) (_ @t264 (_ @t268 @t343))))) @t265))))) % 0.45/0.90 (assume @p142 (forall @t347 (=> @t315 (=> @t286 (=> (forall (@list @t73 @t75 @t345) (=> (_ @t279 @t345) (=> (_ @t279 @t346) (_ @t279 (_ @t172 @t346))))) @t280))))) % 0.45/0.90 (assume @p143 (forall @t337 (=> @t336 (=> (forall (@list @t267 @t266 @t316) (=> (_ (_ @t326 @t316) @t266) @t331)) @t327)))) % 0.45/0.90 (assume @p144 (forall @t341 (=> @t187 (=> (forall (@list @t73 @t171 @t168) (=> (_ (_ @t166 @t168) @t171) @t339)) @t338)))) % 0.45/0.90 (assume @p145 (forall (@list @t348 @t95 @t142) (=> (_ @t350 tptp.nil_list_a) (=> (forall @t284 (_ @t349 tptp.nil_list_a)) (=> (forall @t351 (_ @t350 @t328)) (=> (forall (@list @t73 @t171 @t292 @t316) (=> (_ (_ @t348 @t171) @t316) (_ @t349 @t328))) (_ (_ @t348 @t95) @t142))))))) % 0.45/0.90 (assume @p146 (forall (@list @t352 @t132 @t99) (=> (_ @t354 tptp.nil_a) (=> (forall @t273 (_ @t353 tptp.nil_a)) (=> (forall @t355 (_ @t354 @t170)) (=> (forall (@list @t267 @t266 @t75 @t168) (=> (_ (_ @t352 @t266) @t168) (_ @t353 @t170))) (_ (_ @t352 @t132) @t99))))))) % 0.45/0.90 (assume @p147 (forall (@list @t326 @t132 @t142) (=> (_ @t335 tptp.nil_list_a) (=> (forall @t273 (_ @t329 tptp.nil_list_a)) (=> @t357 (=> (forall @t333 @t356) (_ (_ @t326 @t132) @t142))))))) % 0.45/0.90 (assume @p148 (forall (@list @t166 @t95 @t99) (=> (_ @t186 tptp.nil_a) (=> (forall @t284 (_ @t174 tptp.nil_a)) (=> @t358 (=> (forall @t340 @t177) (_ (_ @t166 @t95) @t99))))))) % 0.45/0.90 (assume @p149 (forall @t363 (= @t277 (exists @t362 (= @t132 @t361))))) % 0.45/0.90 (assume @p150 (forall @t98 (= @t287 (exists @t364 (= @t95 @t152))))) % 0.45/0.90 (assume @p151 (forall (@list @t264 @t365) (=> @t312 (=> (forall (@list @t367 @t366) (=> (_ @t264 @t366) (_ @t264 (_ (_ tptp.cons_list_a @t367) @t366)))) (_ @t264 @t365))))) % 0.45/0.90 (assume @p152 (forall (@list @t279 @t368) (=> @t315 (=> (forall (@list @t370 @t369) (=> (_ @t279 @t369) (_ @t279 (_ (_ tptp.cons_a @t370) @t369)))) (_ @t279 @t368))))) % 0.45/0.90 (assume @p153 (forall (@list @t373) (=> (not (= @t373 tptp.nil_list_a)) (not (forall (@list @t372 @t371) (not (= @t373 (_ (_ tptp.cons_list_a @t372) @t371)))))))) % 0.45/0.90 (assume @p154 (forall (@list @t221) (=> (not (= @t221 tptp.nil_a)) (not (forall (@list @t375 @t374) (not (= @t221 (_ (_ tptp.cons_a @t375) @t374)))))))) % 0.45/0.90 (assume @p155 (forall (@list @t365 @t212 @t210) (=> (= @t365 @t213) (not (= @t365 tptp.nil_list_a))))) % 0.45/0.90 (assume @p156 (forall (@list @t368 @t217 @t215) (=> (= @t368 @t218) (not (= @t368 tptp.nil_a))))) % 0.45/0.90 (assume @p157 (forall (@list @t212 @t210) (not (= tptp.nil_list_a @t213)))) % 0.45/0.90 (assume @p158 (forall (@list @t217 @t215) (not (= tptp.nil_a @t218)))) % 0.45/0.90 (assume @p159 (forall @t376 (not (= @t227 @t132)))) % 0.45/0.90 (assume @p160 (forall @t238 (not (= @t203 @t95)))) % 0.45/0.90 (assume @p161 (forall @t378 (=> @t377 (=> @t222 (=> @t219 @t229))))) % 0.45/0.90 (assume @p162 (forall @t380 (=> @t379 (=> @t232 (=> @t231 @t235))))) % 0.45/0.90 (assume @p163 (forall @t378 (=> @t223 @t229))) % 0.45/0.90 (assume @p164 (forall @t380 (=> @t233 @t235))) % 0.45/0.90 (assume @p165 (forall @t390 (=> (_ (_ @t135 @t382) @t381) (=> @t336 (=> @t389 (=> (forall @t388 (=> @t387 (=> @t385 (=> @t384 @t356)))) @t383)))))) % 0.45/0.90 (assume @p166 (forall @t397 (=> (_ (_ @t139 @t165) @t164) (=> @t187 (=> @t396 (=> (forall @t183 (=> @t395 (=> @t392 (=> @t391 @t177)))) @t167)))))) % 0.45/0.90 (assume @p167 (= tptp.lexordp_eq_list_a (lambda @t411 (or (exists (@list @t359) (and @t410 (= @t404 @t359))) @t409 (exists @t408 (and @t407 @t405 @t403 @t401 (_ (_ (_ tptp.lexordp_eq_list_a @t399) @t398) @t359))))))) % 0.45/0.90 (assume @p168 (= tptp.lexordp_eq_a (lambda @t422 (or (exists @t161 (and @t421 (= @t416 @t145))) @t420 (exists @t158 (and @t419 @t417 @t415 @t413 (_ (_ (_ tptp.lexordp_eq_a @t412) @t146) @t145))))))) % 0.45/0.90 (assume @p169 (forall @t428 (=> (_ (_ @t135 @t239) @t247) (=> (not @t427) (=> @t426 (not (forall @t311 (=> @t425 (forall @t424 (=> @t423 (=> @t387 (=> @t385 (not @t384))))))))))))) % 0.45/0.90 (assume @p170 (forall @t430 (=> (_ (_ @t139 @t156) @t153) (=> @t199 (=> @t429 (not (forall @t192 (=> @t191 (forall @t190 (=> @t189 (=> @t395 (=> @t392 (not @t391))))))))))))) % 0.45/0.90 (assume @p171 (= tptp.lexordp_eq_a tptp.lexordp_eq_a)) % 0.45/0.90 (assume @p172 (forall @t141 (_ @t140 @t95))) % 0.45/0.90 (assume @p173 (forall (@list @t16 @t99) (_ @t432 @t201))) % 0.45/0.90 (assume @p174 (forall @t163 (=> @t435 (=> @t434 (=> @t198 (not (forall @t192 (=> @t191 (forall @t190 (=> @t189 (=> @t182 (=> @t179 (not @t433))))))))))))) % 0.45/0.90 (assume @p175 (forall @t188 (=> (_ (_ @t431 @t165) @t164) (=> @t358 (=> @t184 (=> (forall @t183 (=> @t182 (=> @t179 (=> @t433 @t177)))) @t167)))))) % 0.45/0.90 (assume @p176 (forall @t163 (= @t435 (or (exists @t364 (and @t160 @t154)) @t159 (exists @t158 (and @t157 @t154 @t151 @t149 (_ (_ @t431 @t146) @t145))))))) % 0.45/0.90 (assume @p177 (forall @t438 (=> @t437 (not (_ (_ @t431 @t99) @t95))))) % 0.45/0.90 (assume @p178 (forall @t98 (=> (forall @t197 (not (_ @t180 @t73))) @t439))) % 0.45/0.90 (assume @p179 (forall @t98 @t439)) % 0.45/0.90 (assume @p180 (forall @t208 (=> @t207 (=> @t19 (=> @t437 @t440))))) % 0.45/0.90 (assume @p181 (forall @t208 (=> @t21 @t440))) % 0.45/0.90 (assume @p182 (forall @t438 (=> @t437 @t206))) % 0.45/0.90 (assume @p183 (forall @t230 (= @t444 (or @t223 (and @t222 @t443))))) % 0.45/0.90 (assume @p184 (forall @t236 (= @t448 (or @t233 (and @t232 @t447))))) % 0.45/0.90 (assume @p185 (forall @t137 (not (_ @t442 tptp.nil_list_a)))) % 0.45/0.90 (assume @p186 (forall @t141 (not (_ @t446 tptp.nil_a)))) % 0.45/0.90 (assume @p187 (forall @t143 (= (_ @t451 @t142) @t450))) % 0.45/0.90 (assume @p188 (forall @t144 (= (_ @t454 @t99) @t453))) % 0.45/0.90 (assume @p189 (forall @t237 (= @t440 (or @t21 (and @t19 @t437))))) % 0.45/0.90 (assume @p190 (forall @t100 (= (_ @t432 @t99) @t453))) % 0.45/0.90 (assume @p191 (forall @t98 (not (_ @t436 tptp.nil_a)))) % 0.45/0.90 (assume @p192 (= tptp.lexordp_a tptp.lexordp_a)) % 0.45/0.90 (assume @p193 (forall @t141 (=> (forall @t197 (not (_ @t393 @t73))) (not (_ @t446 @t95))))) % 0.45/0.90 (assume @p194 (forall @t378 (=> @t377 (=> @t222 (=> @t443 @t444))))) % 0.45/0.90 (assume @p195 (forall @t380 (=> @t379 (=> @t232 (=> @t447 @t448))))) % 0.45/0.90 (assume @p196 (forall @t378 (=> @t223 @t444))) % 0.45/0.90 (assume @p197 (forall @t380 (=> @t233 @t448))) % 0.45/0.90 (assume @p198 (forall (@list @t138 @t95 @t99) (=> @t447 @t231))) % 0.45/0.90 (assume @p199 (forall (@list @t134 @t221 @t142) (_ @t451 @t225))) % 0.45/0.90 (assume @p200 (forall (@list @t138 @t16 @t99) (_ @t454 @t201))) % 0.45/0.90 (assume @p201 (forall @t428 (=> (_ (_ @t441 @t239) @t247) (=> (=> @t427 (forall @t351 (not @t423))) (=> @t426 (not (forall @t311 (=> @t425 (forall @t424 (=> @t423 (=> @t387 (=> @t385 (not @t455))))))))))))) % 0.45/0.90 (assume @p202 (forall @t430 (=> (_ (_ @t445 @t156) @t153) (=> @t434 (=> @t429 (not (forall @t192 (=> @t191 (forall @t190 (=> @t189 (=> @t395 (=> @t392 (not @t456))))))))))))) % 0.45/0.90 (assume @p203 (= tptp.lexordp_list_a (lambda @t411 (or (exists @t362 (and @t410 @t405)) @t409 (exists @t408 (and @t407 @t405 @t403 @t401 (_ (_ (_ tptp.lexordp_list_a @t399) @t398) @t359))))))) % 0.45/0.90 (assume @p204 (= tptp.lexordp_a (lambda @t422 (or (exists @t364 (and @t421 @t417)) @t420 (exists @t158 (and @t419 @t417 @t415 @t413 (_ (_ (_ tptp.lexordp_a @t412) @t146) @t145))))))) % 0.45/0.90 (assume @p205 (forall @t390 (=> (_ (_ @t441 @t382) @t381) (=> @t357 (=> @t389 (=> (forall @t388 (=> @t387 (=> @t385 (=> @t455 @t356)))) @t383)))))) % 0.45/0.90 (assume @p206 (forall @t397 (=> (_ (_ @t445 @t165) @t164) (=> @t358 (=> @t396 (=> (forall @t183 (=> @t395 (=> @t392 (=> @t456 @t177)))) @t167)))))) % 0.45/0.90 (assume @p207 (forall @t459 (=> @t453 (_ @t436 @t458)))) % 0.45/0.90 (assume @p208 (forall (@list @t15 @t16 @t460 @t95 @t99) (=> @t21 (_ (_ @t431 @t463) @t462)))) % 0.45/0.90 (assume @p209 (forall @t108 (=> @t109 @t107))) % 0.45/0.90 (assume @p210 (forall (@list @t95 @t460 @t464) (=> @t469 (=> (forall @t466 (not (_ (_ tptp.less @t124) @t124))) @t465)))) % 0.45/0.90 (assume @p211 (forall (@list @t460 @t464 @t95) (=> @t465 @t469))) % 0.45/0.90 (assume @p212 (forall (@list @t471 @t470) (_ (_ @t96 @t471) @t472))) % 0.45/0.90 (assume @p213 (forall @t477 (= (= @t476 (_ @t475 @t473)) @t474))) % 0.45/0.90 (assume @p214 (forall @t480 (= (= @t458 (_ @t457 @t478)) @t479))) % 0.45/0.90 (assume @p215 (forall (@list @t142 @t132 @t473) (= (= (_ @t482 @t132) (_ @t481 @t132)) @t474))) % 0.45/0.90 (assume @p216 (forall (@list @t99 @t95 @t478) (= (= (_ @t484 @t95) (_ @t483 @t95)) @t479))) % 0.45/0.90 (assume @p217 (forall @t477 (= (_ (_ tptp.append_list_a @t476) @t473) (_ @t475 @t485)))) % 0.45/0.90 (assume @p218 (forall @t480 (= (_ (_ tptp.append_a @t458) @t478) (_ @t457 @t486)))) % 0.45/0.90 (assume @p219 (forall (@list @t489 @t488 @t487) (= (_ (_ tptp.append_list_a (_ @t490 @t488)) @t487) (_ @t490 (_ (_ tptp.append_list_a @t488) @t487))))) % 0.45/0.90 (assume @p220 (forall (@list @t129 @t128 @t127) (= (_ (_ tptp.append_a (_ @t491 @t128)) @t127) (_ @t491 (_ (_ tptp.append_a @t128) @t127))))) % 0.45/0.90 (assume @p221 (forall @t492 (= (_ @t490 tptp.nil_list_a) @t489))) % 0.45/0.90 (assume @p222 (forall @t493 (= (_ @t491 tptp.nil_a) @t129))) % 0.45/0.90 (assume @p223 (forall @t495 (= (= @t476 tptp.nil_list_a) @t494))) % 0.45/0.90 (assume @p224 (forall @t438 (= (= @t458 tptp.nil_a) @t496))) % 0.45/0.90 (assume @p225 (forall @t495 (= (= tptp.nil_list_a @t476) @t494))) % 0.45/0.90 (assume @p226 (forall @t438 (= (= tptp.nil_a @t458) @t496))) % 0.45/0.90 (assume @p227 (forall @t497 (= (= @t142 @t476) @t133))) % 0.45/0.90 (assume @p228 (forall @t459 (= (= @t99 @t458) @t111))) % 0.45/0.90 (assume @p229 (forall @t495 (= (= @t476 @t142) @t133))) % 0.45/0.90 (assume @p230 (forall @t438 (= (= @t458 @t99) @t111))) % 0.45/0.90 (assume @p231 (forall @t495 (= (= @t132 @t476) @t449))) % 0.45/0.90 (assume @p232 (forall @t438 (= (= @t95 @t458) @t452))) % 0.45/0.90 (assume @p233 (forall @t495 (= (= @t476 @t132) @t449))) % 0.45/0.90 (assume @p234 (forall @t438 (= (= @t458 @t95) @t452))) % 0.45/0.90 (assume @p235 (forall @t363 (= (_ @t475 tptp.nil_list_a) @t132))) % 0.45/0.90 (assume @p236 (forall @t98 (= (_ @t457 tptp.nil_a) @t95))) % 0.45/0.90 (assume @p237 (forall (@list @t132 @t220 @t142 @t221) (= (= @t500 (_ @t482 (_ @t224 tptp.nil_list_a))) (and @t498 (= @t220 @t221))))) % 0.45/0.90 (assume @p238 (forall (@list @t95 @t15 @t99 @t16) (= (= @t503 (_ @t484 (_ @t200 tptp.nil_a))) (and @t501 @t24)))) % 0.45/0.90 (assume @p239 (forall @t492 (= (_ @t504 @t489) @t489))) % 0.45/0.90 (assume @p240 (forall @t493 (= (_ @t505 @t129) @t129))) % 0.45/0.90 (assume @p241 (forall (@list @t142) (= @t506 @t142))) % 0.45/0.90 (assume @p242 (forall @t100 (= @t507 @t99))) % 0.45/0.90 (assume @p243 (forall @t495 (=> @t498 (= @t132 @t506)))) % 0.45/0.90 (assume @p244 (forall @t438 (=> @t501 (= @t95 @t507)))) % 0.45/0.90 (assume @p245 (forall (@list @t220 @t509 @t142 @t132 @t473) (=> (= (_ @t226 @t509) @t142) (=> (= @t132 (_ @t510 @t473)) @t508)))) % 0.45/0.90 (assume @p246 (forall (@list @t15 @t512 @t99 @t95 @t478) (=> (= (_ @t202 @t512) @t99) (=> (= @t95 (_ @t513 @t478)) @t511)))) % 0.45/0.90 (assume @p247 (forall (@list @t220 @t132 @t142) (= (_ (_ tptp.append_list_a @t227) @t142) (_ @t226 @t476)))) % 0.45/0.90 (assume @p248 (forall (@list @t15 @t95 @t99) (= (_ (_ tptp.append_a @t203) @t99) (_ @t202 @t458)))) % 0.45/0.90 (assume @p249 (forall (@list @t134 @t132 @t515 @t514) (=> @t517 (=> (forall (@list @t119) (not (_ (_ @t134 @t119) @t119))) @t516)))) % 0.45/0.90 (assume @p250 (forall (@list @t138 @t95 @t460 @t464) (=> @t519 (=> (forall @t466 (not (_ (_ @t138 @t124) @t124))) @t518)))) % 0.45/0.90 (assume @p251 (forall (@list @t134 @t515 @t514 @t132) (=> @t516 @t517))) % 0.45/0.90 (assume @p252 (forall (@list @t138 @t460 @t464 @t95) (=> @t518 @t519))) % 0.45/0.90 (assume @p253 (forall (@list @t134 @t521 @t520) (_ (_ @t135 @t521) (_ (_ tptp.append_list_a @t521) @t520)))) % 0.45/0.90 (assume @p254 (forall (@list @t138 @t471 @t470) (_ (_ @t139 @t471) @t472))) % 0.45/0.90 (assume @p255 (forall (@list @t132 @t142 @t473 @t522) (= (= @t476 (_ @t481 @t522)) (exists (@list @t523) (or (and (= @t132 (_ @t481 @t523)) (= (_ @t524 @t142) @t522)) (and (= (_ @t475 @t523) @t473) (= @t142 (_ @t524 @t522)))))))) % 0.45/0.90 (assume @p256 (forall (@list @t95 @t99 @t478 @t525) (= (= @t458 (_ @t483 @t525)) (exists (@list @t526) (or (and (= @t95 (_ @t483 @t526)) (= (_ @t527 @t99) @t525)) (and (= (_ @t457 @t526) @t478) (= @t99 (_ @t527 @t525)))))))) % 0.45/0.90 (assume @p257 (forall (@list @t132 @t509 @t473 @t142 @t515) (=> (= (_ @t475 @t509) @t473) (=> (= @t142 (_ @t510 @t515)) (= @t476 (_ @t481 @t515)))))) % 0.45/0.90 (assume @p258 (forall (@list @t95 @t512 @t478 @t99 @t460) (=> (= (_ @t457 @t512) @t478) (=> (= @t99 (_ @t513 @t460)) (= @t458 (_ @t483 @t460)))))) % 0.45/0.90 (assume @p259 (_ tptp.semigr656274520list_a tptp.append_list_a)) % 0.45/0.90 (assume @p260 (_ tptp.semigroup_list_a tptp.append_a)) % 0.45/0.90 (assume @p261 (forall @t278 (=> @t277 (=> @t276 (=> (forall @t273 (=> @t272 @t529)) @t265))))) % 0.45/0.90 (assume @p262 (forall @t288 (=> @t287 (=> @t286 (=> (forall @t284 (=> @t283 @t531)) @t280))))) % 0.45/0.90 (assume @p263 (forall (@list @t142 @t473 @t220 @t132) (= (= @t485 @t227) (or (and @t449 (= @t473 @t227)) (exists @t535 (and (= @t142 @t534) (= @t533 @t132))))))) % 0.45/0.90 (assume @p264 (forall (@list @t99 @t478 @t15 @t95) (= (= @t486 @t203) (or (and @t452 (= @t478 @t203)) (exists @t539 (and (= @t99 @t538) (= @t537 @t95))))))) % 0.45/0.90 (assume @p265 (forall (@list @t220 @t132 @t142 @t473) (= @t508 (or (and @t449 (= @t227 @t473)) (exists @t535 (and (= @t534 @t142) (= @t132 @t533))))))) % 0.45/0.90 (assume @p266 (forall (@list @t15 @t95 @t99 @t478) (= @t511 (or (and @t452 (= @t203 @t478)) (exists @t539 (and (= @t538 @t99) (= @t95 @t537))))))) % 0.45/0.90 (assume @p267 (forall @t363 (=> @t277 (not (forall (@list @t316 @t292) (not (= @t132 (_ (_ tptp.append_list_a @t316) (_ @t293 tptp.nil_list_a))))))))) % 0.45/0.90 (assume @p268 (forall @t98 (=> @t287 (not (forall (@list @t168 @t75) (not (= @t95 (_ (_ tptp.append_a @t168) (_ @t169 tptp.nil_a))))))))) % 0.45/0.90 (assume @p269 (forall @t344 (=> @t312 (=> (forall @t273 @t529) @t265)))) % 0.45/0.90 (assume @p270 (forall @t347 (=> @t315 (=> (forall @t284 @t531) @t280)))) % 0.45/0.90 (assume @p271 (forall (@list @t134 @t220 @t221 @t515 @t132 @t142) (=> @t223 (_ (_ @t441 (_ @t540 @t227)) (_ @t540 @t225))))) % 0.45/0.90 (assume @p272 (forall (@list @t138 @t15 @t16 @t460 @t95 @t99) (=> @t233 (_ (_ @t445 @t463) @t462)))) % 0.45/0.90 (assume @p273 (forall (@list @t142 @t134 @t132) (=> @t450 (_ @t442 @t476)))) % 0.45/0.90 (assume @p274 (forall (@list @t99 @t138 @t95) (=> @t453 (_ @t446 @t458)))) % 0.45/0.90 (assume @p275 (forall (@list @t105 @t2) (=> @t109 (= (_ @t113 @t2) @t2)))) % 0.45/0.90 (assume @p276 (forall @t116 (=> @t109 (= (_ @t113 @t115) @t115)))) % 0.45/0.90 (assume @p277 (forall @t116 (=> @t109 (= (_ @t131 @t1) @t115)))) % 0.45/0.90 (assume @p278 (= (_ tptp.product_lists_list_a tptp.nil_list_list_a) @t541)) % 0.45/0.90 (assume @p279 (= (_ tptp.product_lists_a tptp.nil_list_a) @t542)) % 0.45/0.90 (assume @p280 (forall (@list @t15 @t95 @t543) (= (_ (_ tptp.bind_a_list_a @t203) @t543) (_ @t544 (_ (_ tptp.bind_a_list_a @t95) @t543))))) % 0.45/0.90 (assume @p281 (forall (@list @t220 @t132 @t545) (= (_ (_ tptp.bind_list_a_a @t227) @t545) (_ @t546 (_ (_ tptp.bind_list_a_a @t132) @t545))))) % 0.45/0.90 (assume @p282 (forall (@list @t220 @t132 @t547) (= (_ (_ tptp.bind_list_a_list_a @t227) @t547) (_ @t548 (_ (_ tptp.bind_list_a_list_a @t132) @t547))))) % 0.45/0.90 (assume @p283 (forall (@list @t15 @t95 @t549) (= (_ (_ tptp.bind_a_a @t203) @t549) (_ @t550 (_ (_ tptp.bind_a_a @t95) @t549))))) % 0.45/0.90 (assume @p284 (forall @t551 (= (_ (_ tptp.bind_a_list_a tptp.nil_a) @t543) tptp.nil_list_a))) % 0.45/0.90 (assume @p285 (forall @t552 (= (_ (_ tptp.bind_list_a_a tptp.nil_list_a) @t545) tptp.nil_a))) % 0.45/0.90 (assume @p286 (forall @t553 (= (_ (_ tptp.bind_list_a_list_a tptp.nil_list_a) @t547) tptp.nil_list_a))) % 0.45/0.90 (assume @p287 (forall @t554 (= (_ (_ tptp.bind_a_a tptp.nil_a) @t549) tptp.nil_a))) % 0.45/0.90 (assume @p288 (forall @t104 (=> @t102 (=> (_ tptp.abel_s374399671list_a @t101) @t103)))) % 0.45/0.90 (assume @p289 (forall @t108 (=> @t106 (=> @t555 @t107)))) % 0.45/0.90 (assume @p290 (forall @t108 (=> (forall (@list @t124 @t122) (= @t126 (_ @t123 @t124))) @t555))) % 0.45/0.90 (assume @p291 (forall @t108 (=> @t107 @t555))) % 0.45/0.90 (assume @p292 (forall @t108 (=> @t107 (=> @t556 @t109)))) % 0.45/0.90 (assume @p293 (forall @t108 (=> @t109 @t556))) % 0.45/0.90 (assume @p294 (= (_ tptp.subseqs_list_a tptp.nil_list_a) @t541)) % 0.45/0.90 (assume @p295 (= (_ tptp.subseqs_a tptp.nil_a) @t542)) % 0.45/0.90 (assume @p296 (forall (@list @t543 @t15 @t95) (= (_ @t557 @t203) (_ @t544 (_ @t557 @t95))))) % 0.45/0.90 (assume @p297 (forall (@list @t545 @t220 @t132) (= (_ @t558 @t227) (_ @t546 (_ @t558 @t132))))) % 0.45/0.90 (assume @p298 (forall (@list @t547 @t220 @t132) (= (_ @t559 @t227) (_ @t548 (_ @t559 @t132))))) % 0.45/0.90 (assume @p299 (forall (@list @t549 @t15 @t95) (= (_ @t560 @t203) (_ @t550 (_ @t560 @t95))))) % 0.45/0.90 (assume @p300 (forall @t551 (= (_ @t557 tptp.nil_a) tptp.nil_list_a))) % 0.45/0.90 (assume @p301 (forall @t552 (= (_ @t558 tptp.nil_list_a) tptp.nil_a))) % 0.45/0.90 (assume @p302 (forall @t553 (= (_ @t559 tptp.nil_list_a) tptp.nil_list_a))) % 0.45/0.90 (assume @p303 (forall @t554 (= (_ @t560 tptp.nil_a) tptp.nil_a))) % 0.45/0.90 (assume @p304 (_ tptp.transp_a tptp.less)) % 0.45/0.90 (assume @p305 (forall @t320 (= (_ (_ tptp.insert_list_a @t220) tptp.nil_list_a) @t499))) % 0.45/0.90 (assume @p306 (forall @t26 (= (_ (_ tptp.insert_a @t15) tptp.nil_a) @t502))) % 0.45/0.90 (assume @p307 (forall @t568 (= @t567 (and (=> @t565 (and @t449 (= @t473 tptp.nil_list_a))) (=> @t566 (exists (@list @t563 @t398 @t562 @t561) (and (= @t564 (_ (_ tptp.append_list_list_a @t563) (_ (_ tptp.cons_list_list_a (_ (_ tptp.append_list_a @t398) @t562)) @t561))) (= @t142 (_ (_ tptp.append_list_a (_ tptp.concat_list_a @t563)) @t398)) (= @t473 (_ (_ tptp.append_list_a @t562) (_ tptp.concat_list_a @t561)))))))))) % 0.45/0.90 (assume @p308 (forall @t576 (= @t575 (and (=> @t573 (and @t452 (= @t478 tptp.nil_a))) (=> @t574 (exists (@list @t571 @t146 @t570 @t569) (and (= @t572 (_ (_ tptp.append_list_a @t571) (_ (_ tptp.cons_list_a (_ (_ tptp.append_a @t146) @t570)) @t569))) (= @t99 (_ (_ tptp.append_a (_ tptp.concat_a @t571)) @t146)) (= @t478 (_ (_ tptp.append_a @t570) (_ tptp.concat_a @t569)))))))))) % 0.45/0.90 (assume @p309 (forall @t376 (= (_ tptp.rotate1_list_a @t227) @t500))) % 0.45/0.90 (assume @p310 (forall @t238 (= (_ tptp.rotate1_a @t203) @t503))) % 0.45/0.90 (assume @p311 (forall @t363 (= (= (_ tptp.rotate1_list_a @t132) tptp.nil_list_a) @t133))) % 0.45/0.90 (assume @p312 (forall @t98 (= (= (_ tptp.rotate1_a @t95) tptp.nil_a) @t111))) % 0.45/0.90 (assume @p313 (forall (@list @t578 @t577) (= (_ tptp.concat_list_a (_ (_ tptp.append_list_list_a @t578) @t577)) (_ (_ tptp.append_list_a @t579) (_ tptp.concat_list_a @t577))))) % 0.45/0.90 (assume @p314 (forall @t495 (= (_ tptp.concat_a @t476) (_ (_ tptp.append_a @t580) (_ tptp.concat_a @t142))))) % 0.45/0.90 (assume @p315 (= (_ tptp.concat_list_a tptp.nil_list_list_a) tptp.nil_list_a)) % 0.45/0.90 (assume @p316 (= (_ tptp.concat_a tptp.nil_list_a) tptp.nil_a)) % 0.45/0.90 (assume @p317 (forall (@list @t317 @t578) (= (_ tptp.concat_list_a (_ (_ tptp.cons_list_list_a @t317) @t578)) (_ (_ tptp.append_list_a @t317) @t579)))) % 0.45/0.90 (assume @p318 (forall @t376 (= (_ tptp.concat_a @t227) (_ (_ tptp.append_a @t220) @t580)))) % 0.45/0.90 (assume @p319 (= (_ tptp.rotate1_list_a tptp.nil_list_a) tptp.nil_list_a)) % 0.45/0.90 (assume @p320 (= (_ tptp.rotate1_a tptp.nil_a) tptp.nil_a)) % 0.45/0.90 (assume @p321 (forall @t568 (=> @t567 (=> @t566 (exists (@list @t583 @t266 @t582 @t581) (and (= @t564 (_ (_ tptp.append_list_list_a @t583) (_ (_ tptp.cons_list_list_a (_ @t528 @t582)) @t581))) (= @t142 (_ (_ tptp.append_list_a (_ tptp.concat_list_a @t583)) @t266)) (= @t473 (_ (_ tptp.append_list_a @t582) (_ tptp.concat_list_a @t581))))))))) % 0.45/0.90 (assume @p322 (forall @t576 (=> @t575 (=> @t574 (exists (@list @t586 @t171 @t585 @t584) (and (= @t572 (_ (_ tptp.append_list_a @t586) (_ (_ tptp.cons_list_a (_ @t530 @t585)) @t584))) (= @t99 (_ (_ tptp.append_a (_ tptp.concat_a @t586)) @t171)) (= @t478 (_ (_ tptp.append_a @t585) (_ tptp.concat_a @t584))))))))) % 0.45/0.90 (assume @p323 (forall @t587 (= (_ tptp.butlast_list_a @t500) @t132))) % 0.45/0.90 (assume @p324 (forall @t588 (= (_ tptp.butlast_a @t503) @t95))) % 0.45/0.90 (assume @p325 (forall (@list @t279) (not (_ (_ tptp.list_ex1_list_a @t279) tptp.nil_list_a)))) % 0.45/0.90 (assume @p326 (forall (@list @t589) (not (_ (_ tptp.list_ex1_a @t589) tptp.nil_a)))) % 0.45/0.90 (assume @p327 (forall @t497 (and (=> @t449 (= @t591 @t592)) (=> @t450 (= @t591 (_ @t475 @t590)))))) % 0.45/0.90 (assume @p328 (forall @t459 (and (=> @t452 (= @t594 @t595)) (=> @t453 (= @t594 (_ @t457 @t593)))))) % 0.45/0.90 (assume @p329 (= (_ tptp.butlast_list_a tptp.nil_list_a) tptp.nil_list_a)) % 0.45/0.90 (assume @p330 (= (_ tptp.butlast_a tptp.nil_a) tptp.nil_a)) % 0.45/0.90 (assume @p331 (forall @t587 (and (=> @t133 (= @t596 tptp.nil_list_a)) (=> @t277 (= @t596 (_ @t226 @t592)))))) % 0.45/0.90 (assume @p332 (forall @t588 (and (=> @t111 (= @t597 tptp.nil_a)) (=> @t287 (= @t597 (_ @t202 @t595)))))) % 0.45/0.90 (assume @p333 (forall @t363 (=> @t277 (= (_ (_ tptp.append_list_a @t592) (_ (_ tptp.cons_list_a (_ tptp.last_list_a @t132)) tptp.nil_list_a)) @t132)))) % 0.45/0.90 (assume @p334 (forall @t98 (=> @t287 (= (_ (_ tptp.append_a @t595) (_ (_ tptp.cons_a @t598) tptp.nil_a)) @t95)))) % 0.45/0.90 (assume @p335 (forall (@list @t132 @t220 @t142) (= (= @t500 @t142) (and @t450 (= @t590 @t132) (= @t599 @t220))))) % 0.45/0.90 (assume @p336 (forall (@list @t95 @t15 @t99) (= (= @t503 @t99) (and @t453 (= @t593 @t95) (= @t600 @t15))))) % 0.45/0.90 (assume @p337 (forall @t497 (=> @t450 (= (_ tptp.last_list_a @t476) @t599)))) % 0.45/0.90 (assume @p338 (forall @t459 (=> @t453 (= @t601 @t600)))) % 0.45/0.90 (assume @p339 (forall @t459 (=> @t452 (= @t601 @t598)))) % 0.45/0.90 (assume @p340 (= tptp.b (_ (_ tptp.inf tptp.b) tptp.c))) % 0.45/0.90 (assume @p341 (= @t604 tptp.b)) % 0.45/0.90 (assume @p342 (= tptp.a2 @t602)) % 0.45/0.90 (assume @p343 @t606) % 0.45/0.90 (assume @p344 (= @t604 tptp.c)) % 0.45/0.90 (assume @p345 (not false)) % 0.45/0.90 (assume @p346 true) % 0.45/0.90 (step @p347 (= tptp.semigroup_list_a @t613) :rule refl :args (@t613)) % 0.45/0.90 (step @p348 (= tptp.semigroup_a @t622) :rule refl :args (@t622)) % 0.45/0.90 (step @p349 (= tptp.abel_s1075322906list_a @t623) :rule refl :args (@t623)) % 0.45/0.90 (step @p350 (= tptp.abel_semigroup_a @t624) :rule refl :args (@t624)) % 0.45/0.90 (step @p351 (= tptp.abel_s2117090225ioms_a @t625) :rule refl :args (@t625)) % 0.45/0.90 (step @p352 (= tptp.semilattice_a @t626) :rule refl :args (@t626)) % 0.45/0.90 (step @p353 :rule refl :args ((tptp.inf tptp.c @t602))) % 0.45/0.90 (step @p354 :rule refl :args (@t627)) % 0.45/0.90 (step @p355 :rule refl :args (tptp.c)) % 0.45/0.90 (step @p356 :rule cong :premises (@p355 @p354) :args (@t628)) % 0.45/0.90 (step @p357 :rule trans :premises (@p356 @p353)) % 0.45/0.90 (step @p358 :rule refl :args (@t603)) % 0.45/0.90 (step @p359 :rule ho_cong :premises (@p358 @p354)) % 0.45/0.90 (step @p360 :rule cong :premises (@p359 @p357) :args ((= (_ @t603 @t627) @t628))) % 0.45/0.90 (step @p361 :rule symm :premises (@p360)) % 0.45/0.90 (step @p362 :rule refl :args (@t604)) % 0.45/0.90 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 0.45/0.90 (step @p364 :rule refl :args (@t602)) % 0.45/0.90 (step @p365 :rule cong :premises (@p364 @p354) :args ((= @t602 @t627))) % 0.45/0.90 (step @p366 :rule symm :premises (@p365)) % 0.45/0.90 (step @p367 :rule eq_resolve :premises (@p364 @p366)) % 0.45/0.90 (step @p368 :rule refl :args (@t603)) % 0.45/0.90 (step @p369 :rule ho_cong :premises (@p368 @p367)) % 0.45/0.90 (step @p370 :rule trans :premises (@p369 @p363)) % 0.45/0.90 (step @p371 :rule refl :args (tptp.b)) % 0.45/0.90 (step @p372 :rule cong :premises (@p371 @p370) :args ((= tptp.b @t604))) % 0.45/0.90 (step @p373 :rule eq-symm :args (@t604 tptp.b)) % 0.45/0.90 (step @p374 :rule trans :premises (@p373 @p372)) % 0.45/0.90 (step @p375 :rule eq_resolve :premises (@p341 @p374)) % 0.45/0.90 (step @p376 :rule refl :args (tptp.c)) % 0.45/0.90 (step @p377 :rule cong :premises (@p376 @p370) :args ((= tptp.c @t604))) % 0.45/0.90 (step @p378 :rule eq-symm :args (@t604 tptp.c)) % 0.45/0.90 (step @p379 :rule trans :premises (@p378 @p377)) % 0.45/0.90 (step @p380 :rule eq_resolve :premises (@p344 @p379)) % 0.45/0.90 (step @p381 :rule refl :args (@t629)) % 0.45/0.90 (step @p382 :rule refl :args (@t78)) % 0.45/0.90 (step @p383 :rule cong :premises (@p382 @p381) :args ((= @t78 @t629))) % 0.45/0.90 (step @p384 :rule symm :premises (@p383)) % 0.45/0.90 (step @p385 :rule eq_resolve :premises (@p382 @p384)) % 0.45/0.90 (step @p386 :rule refl :args (@t2)) % 0.45/0.90 (step @p387 :rule cong :premises (@p386 @p385) :args (@t630)) % 0.45/0.90 (step @p388 :rule cong :premises (@p387) :args ((forall @t33 @t630))) % 0.45/0.90 (step @p389 :rule eq-symm :args (@t78 @t2)) % 0.45/0.90 (step @p390 :rule cong :premises (@p389) :args (@t79)) % 0.45/0.90 (step @p391 :rule trans :premises (@p390 @p388)) % 0.45/0.90 (step @p392 :rule eq_resolve :premises (@p48 @p391)) % 0.45/0.90 (step @p393 :rule instantiate :premises (@p392) :args ((@list tptp.b))) % 0.45/0.90 (step @p394 :rule refl :args (@t631)) % 0.45/0.90 (step @p395 :rule refl :args (@t632)) % 0.45/0.90 (step @p396 :rule refl :args (@t38)) % 0.45/0.90 (step @p397 :rule cong :premises (@p396 @p395) :args ((= @t38 @t632))) % 0.45/0.90 (step @p398 :rule symm :premises (@p397)) % 0.45/0.90 (step @p399 :rule eq_resolve :premises (@p396 @p398)) % 0.45/0.90 (step @p400 :rule cong :premises (@p386 @p399) :args (@t64)) % 0.45/0.90 (step @p401 :rule nary_cong :premises (@p400 @p394) :args (@t633)) % 0.45/0.90 (step @p402 :rule refl :args (@t634)) % 0.45/0.90 (step @p403 :rule refl :args (@t4)) % 0.45/0.90 (step @p404 :rule cong :premises (@p403 @p402) :args ((= @t4 @t634))) % 0.45/0.90 (step @p405 :rule symm :premises (@p404)) % 0.45/0.90 (step @p406 :rule eq_resolve :premises (@p403 @p405)) % 0.45/0.90 (step @p407 :rule cong :premises (@p406 @p401) :args (@t635)) % 0.45/0.90 (step @p408 :rule cong :premises (@p407) :args ((forall @t23 @t635))) % 0.45/0.90 (step @p409 :rule eq-symm :args (@t2 @t1)) % 0.45/0.90 (step @p410 :rule cong :premises (@p409) :args (@t9)) % 0.45/0.90 (step @p411 :rule refl :args (@t64)) % 0.45/0.90 (step @p412 :rule nary_cong :premises (@p411 @p410) :args (@t65)) % 0.45/0.90 (step @p413 :rule refl :args (@t4)) % 0.45/0.90 (step @p414 :rule cong :premises (@p413 @p412) :args (@t66)) % 0.45/0.90 (step @p415 :rule cong :premises (@p414) :args (@t67)) % 0.45/0.90 (step @p416 :rule trans :premises (@p415 @p408)) % 0.45/0.90 (step @p417 :rule eq_resolve :premises (@p31 @p416)) % 0.45/0.90 (step @p418 :rule eq-symm :args (@t627 tptp.b)) % 0.45/0.90 (step @p419 :rule cong :premises (@p418) :args (@t636)) % 0.45/0.90 (step @p420 :rule refl :args (@t638)) % 0.45/0.90 (step @p421 :rule nary_cong :premises (@p420 @p419) :args (@t639)) % 0.45/0.90 (step @p422 :rule refl :args (@t640)) % 0.45/0.90 (step @p423 :rule cong :premises (@p422 @p421) :args (@t641)) % 0.45/0.90 (step @p424 :rule refl :args (@t642)) % 0.45/0.90 (step @p425 :rule cong :premises (@p424 @p423) :args ((=> @t642 @t641))) % 0.45/0.90 (assume-push @p475 @t642) % 0.45/0.90 (step @p427 :rule instantiate :premises (@p417) :args ((@list tptp.b @t627))) % 0.45/0.90 (step-pop @p476 :rule scope :premises (@p427)) % 0.45/0.90 (step @p428 :rule process_scope :premises (@p476) :args (@t641)) % 0.45/0.90 (step @p430 :rule eq_resolve :premises (@p428 @p425)) % 0.45/0.90 (step @p431 :rule implies_elim :premises (@p430)) % 0.45/0.90 (step @p432 :rule chain_m_resolution :premises (@p431 @p417) :args (@t646 @t647 (@list @t642))) % 0.45/0.90 (step @p433 :rule refl :args ((tptp.less tptp.b @t602))) % 0.45/0.90 (step @p434 :rule refl :args (tptp.b)) % 0.45/0.90 (step @p435 :rule cong :premises (@p434 @p354) :args (@t640)) % 0.45/0.90 (step @p436 :rule trans :premises (@p435 @p433)) % 0.45/0.90 (step @p437 :rule refl :args (@t605)) % 0.45/0.90 (step @p438 :rule ho_cong :premises (@p437 @p354)) % 0.45/0.90 (step @p439 :rule cong :premises (@p438 @p436) :args ((= (_ @t605 @t627) @t640))) % 0.45/0.90 (step @p440 :rule symm :premises (@p439)) % 0.45/0.90 (step @p441 :rule refl :args (@t606)) % 0.45/0.90 (step @p442 :rule eq_resolve :premises (@p441 @p440)) % 0.45/0.90 (step @p443 :rule refl :args (@t605)) % 0.45/0.90 (step @p444 :rule ho_cong :premises (@p443 @p367)) % 0.45/0.90 (step @p445 :rule trans :premises (@p444 @p442)) % 0.45/0.90 (step @p446 :rule eq_resolve :premises (@p343 @p445)) % 0.45/0.90 (step @p447 :rule cnf_equiv_pos1 :args (@t646)) % 0.45/0.90 (step @p448 :rule reordering :premises (@p447) :args ((or (not @t640) @t645 (not @t646)))) % 0.45/0.90 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p432) :args (@t645 (@list false false) (@list @t640 @t646))) % 0.45/0.90 (step @p450 :rule cnf_and_pos :args (@t645 1)) % 0.45/0.90 (step @p451 :rule reordering :premises (@p450) :args ((or @t644 (not @t645)))) % 0.45/0.90 (step @p452 :rule chain_m_resolution :premises (@p451 @p449) :args (@t644 @t647 (@list @t645))) % 0.45/0.90 (assume-push @p477 @t648) % 0.45/0.90 (assume-push @p478 @t649) % 0.45/0.90 (assume-push @p479 @t651) % 0.45/0.90 (step @p456 :rule symm :premises (@p380)) % 0.45/0.90 (step @p457 :rule refl :args (@t627)) % 0.45/0.90 (step @p458 :rule trans :premises (@p375 @p456)) % 0.45/0.90 (step @p459 :rule cong :premises (@p458 @p457) :args (@t637)) % 0.45/0.90 (step @p460 :rule trans :premises (@p459 @p456)) % 0.45/0.90 (step @p461 :rule cong :premises (@p371 @p460) :args ((tptp.sup tptp.b @t637))) % 0.45/0.90 (step @p462 :rule symm :premises (@p459)) % 0.45/0.90 (step @p463 :rule trans :premises (@p375 @p462)) % 0.45/0.90 (step @p464 :rule cong :premises (@p371 @p463) :args (@t650)) % 0.45/0.90 (step @p465 :rule trans :premises (@p393 @p464 @p461)) % 0.45/0.90 (step-pop @p480 :rule scope :premises (@p465)) % 0.45/0.90 (step-pop @p481 :rule scope :premises (@p480)) % 0.45/0.90 (step-pop @p482 :rule scope :premises (@p481)) % 0.45/0.90 (step @p466 :rule process_scope :premises (@p482) :args (@t643)) % 0.45/0.90 (step @p470 :rule implies_elim :premises (@p466)) % 0.45/0.90 (step @p471 :rule cnf_and_neg :args (@t652)) % 0.45/0.90 (step @p472 :rule resolution :premises (@p471 @p470) :args (true @t652)) % 0.45/0.90 (step @p473 :rule reordering :premises (@p472) :args ((or (not @t648) (not @t649) @t643 (not @t651)))) % 0.45/0.90 (step @p474 false :rule chain_m_resolution :premises (@p473 @p452 @p393 @p380 @p375) :args (false (@list true false false false) (@list @t643 @t651 @t649 @t648))) % 0.45/0.90 ) % 0.45/0.90 % SZS output end Proof % 0.45/0.90 % cvc5 exiting %------------------------------------------------------------------------------