%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP115^1 : 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 : n005.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 0.80s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP115^1 : TPTP v9.2.1. Released v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 04:14:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.42/0.58 %----Proving TH0 % 0.45/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.80 % SZS status Theorem % 0.45/0.80 % SZS output start Proof % 0.45/0.80 ( % 0.45/0.80 (declare-sort tptp.set_a 0) % 0.45/0.80 (declare-sort tptp.a 0) % 0.45/0.80 (declare-sort tptp.b 0) % 0.45/0.80 (declare-sort tptp.set_b 0) % 0.45/0.80 (declare-const tptp.bot_bot_set_b tptp.set_b) % 0.45/0.80 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.45/0.80 (declare-const tptp.member_b (-> tptp.b tptp.set_b Bool)) % 0.45/0.80 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.45/0.80 (declare-const tptp.insert_b (-> tptp.b tptp.set_b tptp.set_b)) % 0.45/0.80 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) % 0.45/0.80 (declare-const tptp.inf_inf_set_b (-> tptp.set_b tptp.set_b tptp.set_b)) % 0.45/0.80 (declare-const tptp.inf_inf_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 0.45/0.80 (declare-const tptp.inf_inf_b (-> tptp.b tptp.b tptp.b)) % 0.45/0.80 (declare-const tptp.bot_bot_b tptp.b) % 0.45/0.80 (declare-const tptp.thesis Bool) % 0.45/0.80 (declare-const tptp.minus_minus_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 0.45/0.80 (declare-const tptp.minus_minus_set_b (-> tptp.set_b tptp.set_b tptp.set_b)) % 0.45/0.80 (declare-const tptp.x0 tptp.a) % 0.45/0.80 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.45/0.80 (declare-const tptp.the_elem_b (-> tptp.set_b tptp.b)) % 0.45/0.80 (declare-const tptp.f (-> tptp.a tptp.b)) % 0.45/0.80 (declare-const tptp.the_elem_a (-> tptp.set_a tptp.a)) % 0.45/0.80 (declare-const tptp.lower_464587817at_a_b (-> tptp.a (-> tptp.a tptp.b) Bool)) % 0.45/0.80 (declare-const tptp.a2 tptp.b) % 0.45/0.80 (declare-const tptp.topolo1276428101open_a (-> tptp.set_a Bool)) % 0.45/0.80 (declare-const tptp.collect_b (-> (-> tptp.b Bool) tptp.set_b)) % 0.45/0.80 (declare-const tptp.topolo1276428102open_b (-> tptp.set_b Bool)) % 0.45/0.80 (define tptp.is_empty_b () (let ((_let_1 (@var "A4" tptp.set_b))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_b)))) % 0.45/0.80 (define tptp.is_empty_a () (let ((_let_1 (@var "A4" tptp.set_a))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_a)))) % 0.45/0.80 (define tptp.bot_bot_b_o () (let ((_let_1 (@var "X2" tptp.b))) (lambda (@list _let_1) (_ (_ tptp.member_b _let_1) tptp.bot_bot_set_b)))) % 0.45/0.80 (define tptp.bot_bot_a_o () (let ((_let_1 (@var "X2" tptp.a))) (lambda (@list _let_1) (_ (_ tptp.member_a _let_1) tptp.bot_bot_set_a)))) % 0.45/0.80 (define tptp.is_singleton_b () (let ((_let_1 (@var "X2" tptp.b))) (let ((_let_2 (@var "A4" tptp.set_b))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ (_ tptp.insert_b _let_1) tptp.bot_bot_set_b))))))) % 0.45/0.80 (define tptp.is_singleton_a () (let ((_let_1 (@var "X2" tptp.a))) (let ((_let_2 (@var "A4" tptp.set_a))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ (_ tptp.insert_a _let_1) tptp.bot_bot_set_a))))))) % 0.45/0.80 (define tptp.ord_less_eq_set_b () (let ((_let_1 (@var "X2" tptp.set_b))) (let ((_let_2 (@var "Y3" tptp.set_b))) (lambda (@list _let_1 _let_2) (= (_ (_ tptp.inf_inf_set_b _let_1) _let_2) _let_1))))) % 0.45/0.80 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "X2" tptp.set_a))) (let ((_let_2 (@var "Y3" tptp.set_a))) (lambda (@list _let_1 _let_2) (= (_ (_ tptp.inf_inf_set_a _let_1) _let_2) _let_1))))) % 0.45/0.80 (define tptp.ord_less_eq_b () (let ((_let_1 (@var "X2" tptp.b))) (let ((_let_2 (@var "Y3" tptp.b))) (lambda (@list _let_1 _let_2) (= (_ (_ tptp.inf_inf_b _let_1) _let_2) _let_1))))) % 0.45/0.80 (define @t1 () (_ tptp.f tptp.x0)) % 0.45/0.80 (define @t2 () (= tptp.a2 @t1)) % 0.45/0.80 (define @t3 () (not @t2)) % 0.45/0.80 (define @t4 () (@var "V" tptp.set_b)) % 0.45/0.80 (define @t5 () (@var "U" tptp.set_b)) % 0.45/0.80 (define @t6 () (_ (_ tptp.inf_inf_set_b @t5) @t4)) % 0.45/0.80 (define @t7 () (= @t6 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t8 () (_ tptp.member_b tptp.a2)) % 0.45/0.80 (define @t9 () (_ @t8 @t4)) % 0.45/0.80 (define @t10 () (_ tptp.member_b @t1)) % 0.45/0.80 (define @t11 () (_ @t10 @t5)) % 0.45/0.80 (define @t12 () (_ tptp.topolo1276428102open_b @t4)) % 0.45/0.80 (define @t13 () (_ tptp.topolo1276428102open_b @t5)) % 0.45/0.80 (define @t14 () (and @t13 @t12 @t11 @t9 @t7)) % 0.45/0.80 (define @t15 () (@list @t5 @t4)) % 0.45/0.80 (define @t16 () (exists @t15 @t14)) % 0.45/0.80 (define @t17 () (not (= @t1 tptp.a2))) % 0.45/0.80 (define @t18 () (=> @t17 @t16)) % 0.45/0.80 (define @t19 () (@var "T" tptp.set_b)) % 0.45/0.80 (define @t20 () (@var "S" tptp.set_b)) % 0.45/0.80 (define @t21 () (@var "T" tptp.set_a)) % 0.45/0.80 (define @t22 () (@var "S" tptp.set_a)) % 0.45/0.80 (define @t23 () (@var "X" tptp.set_a)) % 0.45/0.80 (define @t24 () (_ tptp.inf_inf_set_a tptp.bot_bot_set_a)) % 0.45/0.80 (define @t25 () (@list @t23)) % 0.45/0.80 (define @t26 () (@var "X" tptp.set_b)) % 0.45/0.80 (define @t27 () (_ tptp.inf_inf_set_b tptp.bot_bot_set_b)) % 0.45/0.80 (define @t28 () (@list @t26)) % 0.45/0.80 (define @t29 () (_ tptp.inf_inf_set_a @t23)) % 0.45/0.80 (define @t30 () (_ tptp.inf_inf_set_b @t26)) % 0.45/0.80 (define @t31 () (@var "Y" tptp.b)) % 0.45/0.80 (define @t32 () (_ tptp.member_b @t31)) % 0.45/0.80 (define @t33 () (@var "X" tptp.b)) % 0.45/0.80 (define @t34 () (_ tptp.member_b @t33)) % 0.45/0.80 (define @t35 () (_ @t34 @t5)) % 0.45/0.80 (define @t36 () (= @t33 @t31)) % 0.45/0.80 (define @t37 () (not @t36)) % 0.45/0.80 (define @t38 () (@list @t33 @t31)) % 0.45/0.80 (define @t39 () (@var "V2" tptp.set_b)) % 0.45/0.80 (define @t40 () (@var "U2" tptp.set_b)) % 0.45/0.80 (define @t41 () (_ @t34 @t40)) % 0.45/0.80 (define @t42 () (_ tptp.topolo1276428102open_b @t40)) % 0.45/0.80 (define @t43 () (@var "B" tptp.set_a)) % 0.45/0.80 (define @t44 () (@var "A" tptp.set_a)) % 0.45/0.80 (define @t45 () (_ tptp.inf_inf_set_a @t44)) % 0.45/0.80 (define @t46 () (_ @t45 @t43)) % 0.45/0.80 (define @t47 () (@var "C" tptp.a)) % 0.45/0.80 (define @t48 () (_ tptp.member_a @t47)) % 0.45/0.80 (define @t49 () (_ @t48 @t46)) % 0.45/0.80 (define @t50 () (_ @t48 @t43)) % 0.45/0.80 (define @t51 () (_ @t48 @t44)) % 0.45/0.80 (define @t52 () (@list @t47 @t44 @t43)) % 0.45/0.80 (define @t53 () (@var "B" tptp.set_b)) % 0.45/0.80 (define @t54 () (@var "A" tptp.set_b)) % 0.45/0.80 (define @t55 () (_ tptp.inf_inf_set_b @t54)) % 0.45/0.80 (define @t56 () (_ @t55 @t53)) % 0.45/0.80 (define @t57 () (@var "C" tptp.b)) % 0.45/0.80 (define @t58 () (_ tptp.member_b @t57)) % 0.45/0.80 (define @t59 () (_ @t58 @t56)) % 0.45/0.80 (define @t60 () (_ @t58 @t53)) % 0.45/0.80 (define @t61 () (_ @t58 @t54)) % 0.45/0.80 (define @t62 () (@list @t57 @t54 @t53)) % 0.45/0.80 (define @t63 () (@var "A2" tptp.set_b)) % 0.45/0.80 (define @t64 () (_ tptp.inf_inf_set_b @t63)) % 0.45/0.80 (define @t65 () (@list @t63)) % 0.45/0.80 (define @t66 () (@var "A2" tptp.set_a)) % 0.45/0.80 (define @t67 () (_ tptp.inf_inf_set_a @t66)) % 0.45/0.80 (define @t68 () (@list @t66)) % 0.45/0.80 (define @t69 () (@var "B2" tptp.set_b)) % 0.45/0.80 (define @t70 () (_ @t64 @t69)) % 0.45/0.80 (define @t71 () (@list @t63 @t69)) % 0.45/0.80 (define @t72 () (@var "B2" tptp.set_a)) % 0.45/0.80 (define @t73 () (_ @t67 @t72)) % 0.45/0.80 (define @t74 () (@list @t66 @t72)) % 0.45/0.80 (define @t75 () (@var "X2" tptp.b)) % 0.45/0.80 (define @t76 () (@var "P" (-> tptp.b Bool))) % 0.45/0.80 (define @t77 () (@list @t75)) % 0.45/0.80 (define @t78 () (forall @t77 (not (_ @t76 @t75)))) % 0.45/0.80 (define @t79 () (_ tptp.collect_b @t76)) % 0.45/0.80 (define @t80 () (@list @t76)) % 0.45/0.80 (define @t81 () (@var "X2" tptp.a)) % 0.45/0.80 (define @t82 () (@var "P" (-> tptp.a Bool))) % 0.45/0.80 (define @t83 () (@list @t81)) % 0.45/0.80 (define @t84 () (forall @t83 (not (_ @t82 @t81)))) % 0.45/0.80 (define @t85 () (_ tptp.collect_a @t82)) % 0.45/0.80 (define @t86 () (@list @t82)) % 0.45/0.80 (define @t87 () (= @t79 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t88 () (= @t85 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t89 () (= @t54 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t90 () (_ tptp.member_b @t75)) % 0.45/0.80 (define @t91 () (_ @t90 @t54)) % 0.45/0.80 (define @t92 () (@list @t54)) % 0.45/0.80 (define @t93 () (= @t44 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t94 () (_ tptp.member_a @t81)) % 0.45/0.80 (define @t95 () (_ @t94 @t44)) % 0.45/0.80 (define @t96 () (@list @t44)) % 0.45/0.80 (define @t97 () (@var "Y" tptp.set_b)) % 0.45/0.80 (define @t98 () (_ @t30 @t97)) % 0.45/0.80 (define @t99 () (_ tptp.inf_inf_set_b @t98)) % 0.45/0.80 (define @t100 () (@list @t26 @t97)) % 0.45/0.80 (define @t101 () (@var "Y" tptp.set_a)) % 0.45/0.80 (define @t102 () (_ @t29 @t101)) % 0.45/0.80 (define @t103 () (_ tptp.inf_inf_set_a @t102)) % 0.45/0.80 (define @t104 () (@list @t23 @t101)) % 0.45/0.80 (define @t105 () (_ tptp.inf_inf_set_b @t70)) % 0.45/0.80 (define @t106 () (_ tptp.inf_inf_set_a @t73)) % 0.45/0.80 (define @t107 () (@var "S2" tptp.set_b)) % 0.45/0.80 (define @t108 () (@var "X3" tptp.a)) % 0.45/0.80 (define @t109 () (_ tptp.f @t108)) % 0.45/0.80 (define @t110 () (@var "T2" tptp.set_a)) % 0.45/0.80 (define @t111 () (_ @t10 @t107)) % 0.45/0.80 (define @t112 () (_ tptp.topolo1276428102open_b @t107)) % 0.45/0.80 (define @t113 () (forall (@list @t107) (=> (and @t112 @t111) (exists (@list @t110) (and (_ tptp.topolo1276428101open_a @t110) (_ (_ tptp.member_a tptp.x0) @t110) (forall (@list @t108) (=> (_ (_ tptp.member_a @t108) @t110) (=> (_ (_ tptp.ord_less_eq_b @t109) @t1) (_ (_ tptp.member_b @t109) @t107))))))))) % 0.45/0.80 (define @t114 () (not @t89)) % 0.45/0.80 (define @t115 () (not @t93)) % 0.45/0.80 (define @t116 () (@var "Y2" tptp.b)) % 0.45/0.80 (define @t117 () (_ (_ tptp.member_b @t116) @t54)) % 0.45/0.80 (define @t118 () (@var "Y2" tptp.a)) % 0.45/0.80 (define @t119 () (_ (_ tptp.member_a @t118) @t44)) % 0.45/0.80 (define @t120 () (@var "A2" tptp.b)) % 0.45/0.80 (define @t121 () (_ tptp.member_b @t120)) % 0.45/0.80 (define @t122 () (_ @t121 @t54)) % 0.45/0.80 (define @t123 () (not @t122)) % 0.45/0.80 (define @t124 () (@var "A2" tptp.a)) % 0.45/0.80 (define @t125 () (_ tptp.member_a @t124)) % 0.45/0.80 (define @t126 () (_ @t125 @t44)) % 0.45/0.80 (define @t127 () (not @t126)) % 0.45/0.80 (define @t128 () (@list @t120)) % 0.45/0.80 (define @t129 () (@list @t124)) % 0.45/0.80 (define @t130 () (@var "Z" tptp.set_b)) % 0.45/0.80 (define @t131 () (_ tptp.inf_inf_set_b @t97)) % 0.45/0.80 (define @t132 () (_ @t131 @t130)) % 0.45/0.80 (define @t133 () (_ @t30 @t132)) % 0.45/0.80 (define @t134 () (@list @t26 @t97 @t130)) % 0.45/0.80 (define @t135 () (@var "Z" tptp.set_a)) % 0.45/0.80 (define @t136 () (_ tptp.inf_inf_set_a @t101)) % 0.45/0.80 (define @t137 () (_ @t136 @t135)) % 0.45/0.80 (define @t138 () (_ @t29 @t137)) % 0.45/0.80 (define @t139 () (@list @t23 @t101 @t135)) % 0.45/0.80 (define @t140 () (@var "C" tptp.set_b)) % 0.45/0.80 (define @t141 () (_ tptp.inf_inf_set_b @t69)) % 0.45/0.80 (define @t142 () (_ @t141 @t140)) % 0.45/0.80 (define @t143 () (_ @t64 @t142)) % 0.45/0.80 (define @t144 () (@var "C" tptp.set_a)) % 0.45/0.80 (define @t145 () (_ tptp.inf_inf_set_a @t72)) % 0.45/0.80 (define @t146 () (_ @t145 @t144)) % 0.45/0.80 (define @t147 () (_ @t67 @t146)) % 0.45/0.80 (define @t148 () (@var "X2" tptp.set_b)) % 0.45/0.80 (define @t149 () (@var "Y3" tptp.set_b)) % 0.45/0.80 (define @t150 () (@list @t148 @t149)) % 0.45/0.80 (define @t151 () (@var "X2" tptp.set_a)) % 0.45/0.80 (define @t152 () (@var "Y3" tptp.set_a)) % 0.45/0.80 (define @t153 () (@list @t151 @t152)) % 0.45/0.80 (define @t154 () (@var "A3" tptp.set_b)) % 0.45/0.80 (define @t155 () (@var "B3" tptp.set_b)) % 0.45/0.80 (define @t156 () (@list @t154 @t155)) % 0.45/0.80 (define @t157 () (@var "A3" tptp.set_a)) % 0.45/0.80 (define @t158 () (@var "B3" tptp.set_a)) % 0.45/0.80 (define @t159 () (@list @t157 @t158)) % 0.45/0.80 (define @t160 () (@list @t63 @t69 @t140)) % 0.45/0.80 (define @t161 () (@list @t66 @t72 @t144)) % 0.45/0.80 (define @t162 () (@var "K" tptp.set_b)) % 0.45/0.80 (define @t163 () (_ tptp.inf_inf_set_b @t162)) % 0.45/0.80 (define @t164 () (_ @t163 @t70)) % 0.45/0.80 (define @t165 () (@var "K" tptp.set_a)) % 0.45/0.80 (define @t166 () (_ tptp.inf_inf_set_a @t165)) % 0.45/0.80 (define @t167 () (_ @t166 @t73)) % 0.45/0.80 (define @t168 () (@var "C2" tptp.set_b)) % 0.45/0.80 (define @t169 () (_ @t55 @t168)) % 0.45/0.80 (define @t170 () (_ tptp.inf_inf_set_b @t53)) % 0.45/0.80 (define @t171 () (_ @t170 @t168)) % 0.45/0.80 (define @t172 () (_ @t55 @t171)) % 0.45/0.80 (define @t173 () (@list @t54 @t53 @t168)) % 0.45/0.80 (define @t174 () (@var "C2" tptp.set_a)) % 0.45/0.80 (define @t175 () (_ @t45 @t174)) % 0.45/0.80 (define @t176 () (_ tptp.inf_inf_set_a @t43)) % 0.45/0.80 (define @t177 () (_ @t176 @t174)) % 0.45/0.80 (define @t178 () (_ @t45 @t177)) % 0.45/0.80 (define @t179 () (@list @t44 @t43 @t174)) % 0.45/0.80 (define @t180 () (@list @t54 @t53)) % 0.45/0.80 (define @t181 () (@list @t44 @t43)) % 0.45/0.80 (define @t182 () (@var "A4" tptp.set_b)) % 0.45/0.80 (define @t183 () (@var "B4" tptp.set_b)) % 0.45/0.80 (define @t184 () (@var "A4" tptp.set_a)) % 0.45/0.80 (define @t185 () (@var "B4" tptp.set_a)) % 0.45/0.80 (define @t186 () (_ tptp.inf_inf_set_b @t56)) % 0.45/0.80 (define @t187 () (_ tptp.inf_inf_set_a @t46)) % 0.45/0.80 (define @t188 () (not @t60)) % 0.45/0.80 (define @t189 () (not @t50)) % 0.45/0.80 (define @t190 () (_ @t32 @t40)) % 0.45/0.80 (define @t191 () (@list @t40)) % 0.45/0.80 (define @t192 () (_ @t32 @t5)) % 0.45/0.80 (define @t193 () (@list @t5)) % 0.45/0.80 (define @t194 () (@var "Y3" tptp.b)) % 0.45/0.80 (define @t195 () (= @t56 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t196 () (@var "Y3" tptp.a)) % 0.45/0.80 (define @t197 () (= @t46 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t198 () (@var "X4" tptp.b)) % 0.45/0.80 (define @t199 () (_ tptp.member_b @t198)) % 0.45/0.80 (define @t200 () (_ @t199 @t54)) % 0.45/0.80 (define @t201 () (@list @t198)) % 0.45/0.80 (define @t202 () (@var "X4" tptp.a)) % 0.45/0.80 (define @t203 () (_ tptp.member_a @t202)) % 0.45/0.80 (define @t204 () (_ @t203 @t44)) % 0.45/0.80 (define @t205 () (@list @t202)) % 0.45/0.80 (define @t206 () (_ tptp.is_singleton_b @t54)) % 0.45/0.80 (define @t207 () (@list @t198 @t116)) % 0.45/0.80 (define @t208 () (_ tptp.is_singleton_a @t44)) % 0.45/0.80 (define @t209 () (_ tptp.minus_minus_set_b @t53)) % 0.45/0.80 (define @t210 () (_ tptp.minus_minus_set_a @t43)) % 0.45/0.80 (define @t211 () (_ @t121 @t53)) % 0.45/0.80 (define @t212 () (not @t211)) % 0.45/0.80 (define @t213 () (_ tptp.insert_b @t120)) % 0.45/0.80 (define @t214 () (_ @t213 @t54)) % 0.45/0.80 (define @t215 () (_ tptp.inf_inf_set_b @t214)) % 0.45/0.80 (define @t216 () (_ @t215 @t53)) % 0.45/0.80 (define @t217 () (@list @t120 @t54 @t53)) % 0.45/0.80 (define @t218 () (_ @t125 @t43)) % 0.45/0.80 (define @t219 () (not @t218)) % 0.45/0.80 (define @t220 () (_ tptp.insert_a @t124)) % 0.45/0.80 (define @t221 () (_ @t220 @t44)) % 0.45/0.80 (define @t222 () (_ tptp.inf_inf_set_a @t221)) % 0.45/0.80 (define @t223 () (_ @t222 @t43)) % 0.45/0.80 (define @t224 () (@list @t124 @t44 @t43)) % 0.45/0.80 (define @t225 () (= tptp.bot_bot_set_b @t56)) % 0.45/0.80 (define @t226 () (= tptp.bot_bot_set_a @t46)) % 0.45/0.80 (define @t227 () (_ tptp.ord_less_eq_b @t33)) % 0.45/0.80 (define @t228 () (@list @t33)) % 0.45/0.80 (define @t229 () (@var "B2" tptp.b)) % 0.45/0.80 (define @t230 () (_ tptp.insert_b @t229)) % 0.45/0.80 (define @t231 () (_ @t230 @t53)) % 0.45/0.80 (define @t232 () (_ @t121 @t231)) % 0.45/0.80 (define @t233 () (= @t120 @t229)) % 0.45/0.80 (define @t234 () (@list @t120 @t53 @t229)) % 0.45/0.80 (define @t235 () (@var "B2" tptp.a)) % 0.45/0.80 (define @t236 () (_ tptp.insert_a @t235)) % 0.45/0.80 (define @t237 () (_ @t236 @t43)) % 0.45/0.80 (define @t238 () (_ @t125 @t237)) % 0.45/0.80 (define @t239 () (= @t124 @t235)) % 0.45/0.80 (define @t240 () (@list @t124 @t43 @t235)) % 0.45/0.80 (define @t241 () (_ @t121 (_ @t230 @t54))) % 0.45/0.80 (define @t242 () (@list @t120 @t229 @t54)) % 0.45/0.80 (define @t243 () (_ @t125 (_ @t236 @t44))) % 0.45/0.80 (define @t244 () (@list @t124 @t235 @t44)) % 0.45/0.80 (define @t245 () (_ tptp.minus_minus_set_b @t54)) % 0.45/0.80 (define @t246 () (_ @t245 @t53)) % 0.45/0.80 (define @t247 () (_ @t58 @t246)) % 0.45/0.80 (define @t248 () (_ tptp.minus_minus_set_a @t44)) % 0.45/0.80 (define @t249 () (_ @t248 @t43)) % 0.45/0.80 (define @t250 () (_ @t48 @t249)) % 0.45/0.80 (define @t251 () (_ tptp.ord_less_eq_set_b @t26)) % 0.45/0.80 (define @t252 () (_ @t251 @t130)) % 0.45/0.80 (define @t253 () (_ @t251 @t97)) % 0.45/0.80 (define @t254 () (_ @t251 @t132)) % 0.45/0.80 (define @t255 () (_ tptp.ord_less_eq_set_a @t23)) % 0.45/0.80 (define @t256 () (_ @t255 @t135)) % 0.45/0.80 (define @t257 () (_ @t255 @t101)) % 0.45/0.80 (define @t258 () (_ @t255 @t137)) % 0.45/0.80 (define @t259 () (@var "Z" tptp.b)) % 0.45/0.80 (define @t260 () (_ @t227 @t259)) % 0.45/0.80 (define @t261 () (_ @t227 @t31)) % 0.45/0.80 (define @t262 () (_ @t227 (_ (_ tptp.inf_inf_b @t31) @t259))) % 0.45/0.80 (define @t263 () (@list @t33 @t31 @t259)) % 0.45/0.80 (define @t264 () (_ tptp.ord_less_eq_set_b @t63)) % 0.45/0.80 (define @t265 () (_ @t264 @t140)) % 0.45/0.80 (define @t266 () (_ @t264 @t69)) % 0.45/0.80 (define @t267 () (_ @t264 @t142)) % 0.45/0.80 (define @t268 () (_ tptp.ord_less_eq_set_a @t66)) % 0.45/0.80 (define @t269 () (_ @t268 @t144)) % 0.45/0.80 (define @t270 () (_ @t268 @t72)) % 0.45/0.80 (define @t271 () (_ @t268 @t146)) % 0.45/0.80 (define @t272 () (_ tptp.ord_less_eq_b @t120)) % 0.45/0.80 (define @t273 () (_ @t272 @t57)) % 0.45/0.80 (define @t274 () (_ @t272 @t229)) % 0.45/0.80 (define @t275 () (_ @t272 (_ (_ tptp.inf_inf_b @t229) @t57))) % 0.45/0.80 (define @t276 () (@list @t120 @t229 @t57)) % 0.45/0.80 (define @t277 () (_ @t213 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t278 () (_ @t220 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t279 () (_ @t213 @t53)) % 0.45/0.80 (define @t280 () (_ (_ tptp.inf_inf_set_b @t279) @t168)) % 0.45/0.80 (define @t281 () (_ @t121 @t168)) % 0.45/0.80 (define @t282 () (=> (not @t281) (= @t280 @t171))) % 0.45/0.80 (define @t283 () (@list @t120 @t168 @t53)) % 0.45/0.80 (define @t284 () (_ @t220 @t43)) % 0.45/0.80 (define @t285 () (_ (_ tptp.inf_inf_set_a @t284) @t174)) % 0.45/0.80 (define @t286 () (_ @t125 @t174)) % 0.45/0.80 (define @t287 () (=> (not @t286) (= @t285 @t177))) % 0.45/0.80 (define @t288 () (@list @t124 @t174 @t43)) % 0.45/0.80 (define @t289 () (=> @t281 (= @t280 (_ @t213 @t171)))) % 0.45/0.80 (define @t290 () (=> @t286 (= @t285 (_ @t220 @t177)))) % 0.45/0.80 (define @t291 () (_ @t213 @t56)) % 0.45/0.80 (define @t292 () (_ @t220 @t46)) % 0.45/0.80 (define @t293 () (_ @t55 @t279)) % 0.45/0.80 (define @t294 () (=> @t123 (= @t293 @t56))) % 0.45/0.80 (define @t295 () (_ @t45 @t284)) % 0.45/0.80 (define @t296 () (=> @t127 (= @t295 @t46))) % 0.45/0.80 (define @t297 () (=> @t122 (= @t293 @t291))) % 0.45/0.80 (define @t298 () (=> @t126 (= @t295 @t292))) % 0.45/0.80 (define @t299 () (_ tptp.insert_b @t33)) % 0.45/0.80 (define @t300 () (_ @t299 @t53)) % 0.45/0.80 (define @t301 () (_ @t34 @t54)) % 0.45/0.80 (define @t302 () (not @t301)) % 0.45/0.80 (define @t303 () (@list @t33 @t54 @t53)) % 0.45/0.80 (define @t304 () (@var "X" tptp.a)) % 0.45/0.80 (define @t305 () (_ tptp.insert_a @t304)) % 0.45/0.80 (define @t306 () (_ @t305 @t43)) % 0.45/0.80 (define @t307 () (_ tptp.member_a @t304)) % 0.45/0.80 (define @t308 () (_ @t307 @t44)) % 0.45/0.80 (define @t309 () (not @t308)) % 0.45/0.80 (define @t310 () (@list @t304 @t44 @t43)) % 0.45/0.80 (define @t311 () (_ @t299 @t54)) % 0.45/0.80 (define @t312 () (_ tptp.minus_minus_set_b @t311)) % 0.45/0.80 (define @t313 () (_ @t312 @t53)) % 0.45/0.80 (define @t314 () (_ @t34 @t53)) % 0.45/0.80 (define @t315 () (=> @t314 (= @t313 @t246))) % 0.45/0.80 (define @t316 () (@list @t33 @t53 @t54)) % 0.45/0.80 (define @t317 () (_ @t305 @t44)) % 0.45/0.80 (define @t318 () (_ tptp.minus_minus_set_a @t317)) % 0.45/0.80 (define @t319 () (_ @t318 @t43)) % 0.45/0.80 (define @t320 () (_ @t307 @t43)) % 0.45/0.80 (define @t321 () (=> @t320 (= @t319 @t249))) % 0.45/0.80 (define @t322 () (@list @t304 @t43 @t44)) % 0.45/0.80 (define @t323 () (_ tptp.member_b @t229)) % 0.45/0.80 (define @t324 () (_ tptp.member_a @t235)) % 0.45/0.80 (define @t325 () (_ @t245 @t277)) % 0.45/0.80 (define @t326 () (_ @t213 @t325)) % 0.45/0.80 (define @t327 () (@list @t120 @t54)) % 0.45/0.80 (define @t328 () (_ @t248 @t278)) % 0.45/0.80 (define @t329 () (_ @t220 @t328)) % 0.45/0.80 (define @t330 () (@list @t124 @t44)) % 0.45/0.80 (define @t331 () (_ @t299 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t332 () (_ @t305 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t333 () (@list @t304)) % 0.45/0.80 (define @t334 () (not @t233)) % 0.45/0.80 (define @t335 () (not @t239)) % 0.45/0.80 (define @t336 () (@var "B5" tptp.set_b)) % 0.45/0.80 (define @t337 () (@list @t336)) % 0.45/0.80 (define @t338 () (@list @t33 @t54)) % 0.45/0.80 (define @t339 () (@var "B5" tptp.set_a)) % 0.45/0.80 (define @t340 () (@list @t339)) % 0.45/0.80 (define @t341 () (@list @t304 @t44)) % 0.45/0.80 (define @t342 () (= @t54 @t53)) % 0.45/0.80 (define @t343 () (not @t314)) % 0.45/0.80 (define @t344 () (= @t44 @t43)) % 0.45/0.80 (define @t345 () (not @t320)) % 0.45/0.80 (define @t346 () (@var "C3" tptp.set_b)) % 0.45/0.80 (define @t347 () (@var "C3" tptp.set_a)) % 0.45/0.80 (define @t348 () (_ tptp.ord_less_eq_b @t229)) % 0.45/0.80 (define @t349 () (_ @t348 @t120)) % 0.45/0.80 (define @t350 () (@list @t229 @t120)) % 0.45/0.80 (define @t351 () (@var "B3" tptp.b)) % 0.45/0.80 (define @t352 () (@var "A3" tptp.b)) % 0.45/0.80 (define @t353 () (_ (_ tptp.ord_less_eq_b @t352) @t351)) % 0.45/0.80 (define @t354 () (_ (_ tptp.ord_less_eq_b @t351) @t352)) % 0.45/0.80 (define @t355 () (@list @t352 @t351)) % 0.45/0.80 (define @t356 () (@var "Z2" tptp.b)) % 0.45/0.80 (define @t357 () (@var "Y4" tptp.b)) % 0.45/0.80 (define @t358 () (lambda (@list @t357 @t356) (= @t357 @t356))) % 0.45/0.80 (define @t359 () (_ tptp.ord_less_eq_b @t57)) % 0.45/0.80 (define @t360 () (@var "P" (-> tptp.b tptp.b Bool))) % 0.45/0.80 (define @t361 () (@var "B6" tptp.b)) % 0.45/0.80 (define @t362 () (@var "A5" tptp.b)) % 0.45/0.80 (define @t363 () (_ (_ @t360 @t362) @t361)) % 0.45/0.80 (define @t364 () (@list @t362 @t361)) % 0.45/0.80 (define @t365 () (_ tptp.ord_less_eq_b @t31)) % 0.45/0.80 (define @t366 () (_ @t365 @t259)) % 0.45/0.80 (define @t367 () (@list @t120 @t229)) % 0.45/0.80 (define @t368 () (= @t229 @t57)) % 0.45/0.80 (define @t369 () (_ @t348 @t57)) % 0.45/0.80 (define @t370 () (=> @t369 @t273)) % 0.45/0.80 (define @t371 () (_ @t365 @t33)) % 0.45/0.80 (define @t372 () (@list @t31 @t33)) % 0.45/0.80 (define @t373 () (not @t261)) % 0.45/0.80 (define @t374 () (_ tptp.ord_less_eq_b @t259)) % 0.45/0.80 (define @t375 () (_ @t374 @t33)) % 0.45/0.80 (define @t376 () (_ @t374 @t31)) % 0.45/0.80 (define @t377 () (@list @t75 @t194)) % 0.45/0.80 (define @t378 () (@var "F" (-> tptp.b tptp.b))) % 0.45/0.80 (define @t379 () (_ tptp.ord_less_eq_b @t198)) % 0.45/0.80 (define @t380 () (_ @t379 @t116)) % 0.45/0.80 (define @t381 () (forall @t207 (=> @t380 (_ (_ tptp.ord_less_eq_b (_ @t378 @t198)) (_ @t378 @t116))))) % 0.45/0.80 (define @t382 () (=> @t381 (_ (_ tptp.ord_less_eq_b (_ @t378 @t120)) @t57))) % 0.45/0.80 (define @t383 () (_ @t378 @t229)) % 0.45/0.80 (define @t384 () (@list @t120 @t229 @t378 @t57)) % 0.45/0.80 (define @t385 () (=> @t369 (=> @t381 (_ @t272 (_ @t378 @t57))))) % 0.45/0.80 (define @t386 () (@list @t120 @t378 @t229 @t57)) % 0.45/0.80 (define @t387 () (_ @t245 @t279)) % 0.45/0.80 (define @t388 () (@list @t54 @t120 @t53)) % 0.45/0.80 (define @t389 () (_ @t248 @t284)) % 0.45/0.80 (define @t390 () (@list @t44 @t124 @t43)) % 0.45/0.80 (define @t391 () (_ tptp.ord_less_eq_set_b tptp.bot_bot_set_b)) % 0.45/0.80 (define @t392 () (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a)) % 0.45/0.80 (define @t393 () (= @t63 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t394 () (_ @t264 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t395 () (= @t66 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t396 () (_ @t268 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t397 () (= @t120 tptp.bot_bot_b)) % 0.45/0.80 (define @t398 () (_ @t272 tptp.bot_bot_b)) % 0.45/0.80 (define @t399 () (= @t229 @t120)) % 0.45/0.80 (define @t400 () (_ @t323 @t277)) % 0.45/0.80 (define @t401 () (= @t235 @t124)) % 0.45/0.80 (define @t402 () (_ @t324 @t278)) % 0.45/0.80 (define @t403 () (@list @t235 @t124)) % 0.45/0.80 (define @t404 () (@var "D" tptp.b)) % 0.45/0.80 (define @t405 () (_ @t230 tptp.bot_bot_set_b)) % 0.45/0.80 (define @t406 () (@var "D" tptp.a)) % 0.45/0.80 (define @t407 () (_ @t236 tptp.bot_bot_set_a)) % 0.45/0.80 (define @t408 () (_ tptp.minus_minus_set_b @t169)) % 0.45/0.80 (define @t409 () (_ @t408 @t171)) % 0.45/0.80 (define @t410 () (_ tptp.minus_minus_set_a @t175)) % 0.45/0.80 (define @t411 () (_ @t410 @t177)) % 0.45/0.80 (define @t412 () (_ tptp.inf_inf_set_b @t168)) % 0.45/0.80 (define @t413 () (@list @t168 @t54 @t53)) % 0.45/0.80 (define @t414 () (_ tptp.inf_inf_set_a @t174)) % 0.45/0.80 (define @t415 () (@list @t174 @t44 @t43)) % 0.45/0.80 (define @t416 () (_ tptp.ord_less_eq_set_b @t98)) % 0.45/0.80 (define @t417 () (_ tptp.ord_less_eq_set_a @t102)) % 0.45/0.80 (define @t418 () (_ (_ tptp.inf_inf_b @t33) @t31)) % 0.45/0.80 (define @t419 () (_ tptp.ord_less_eq_b @t418)) % 0.45/0.80 (define @t420 () (_ @t251 @t69)) % 0.45/0.80 (define @t421 () (_ @t251 @t63)) % 0.45/0.80 (define @t422 () (_ @t251 @t70)) % 0.45/0.80 (define @t423 () (@list @t26 @t63 @t69)) % 0.45/0.80 (define @t424 () (_ @t255 @t72)) % 0.45/0.80 (define @t425 () (_ @t255 @t66)) % 0.45/0.80 (define @t426 () (_ @t255 @t73)) % 0.45/0.80 (define @t427 () (@list @t23 @t66 @t72)) % 0.45/0.80 (define @t428 () (_ @t227 @t229)) % 0.45/0.80 (define @t429 () (_ @t227 @t120)) % 0.45/0.80 (define @t430 () (_ (_ tptp.inf_inf_b @t120) @t229)) % 0.45/0.80 (define @t431 () (_ @t227 @t430)) % 0.45/0.80 (define @t432 () (@list @t33 @t120 @t229)) % 0.45/0.80 (define @t433 () (@var "D" tptp.set_b)) % 0.45/0.80 (define @t434 () (_ tptp.ord_less_eq_set_b @t70)) % 0.45/0.80 (define @t435 () (_ tptp.ord_less_eq_set_b @t69)) % 0.45/0.80 (define @t436 () (@var "D" tptp.set_a)) % 0.45/0.80 (define @t437 () (_ tptp.ord_less_eq_set_a @t73)) % 0.45/0.80 (define @t438 () (_ tptp.ord_less_eq_set_a @t72)) % 0.45/0.80 (define @t439 () (_ tptp.ord_less_eq_b @t430)) % 0.45/0.80 (define @t440 () (_ @t434 @t26)) % 0.45/0.80 (define @t441 () (_ @t437 @t23)) % 0.45/0.80 (define @t442 () (_ @t439 @t33)) % 0.45/0.80 (define @t443 () (= @t63 @t70)) % 0.45/0.80 (define @t444 () (= @t66 @t73)) % 0.45/0.80 (define @t445 () (= @t120 @t430)) % 0.45/0.80 (define @t446 () (@var "F" (-> tptp.set_b tptp.set_b tptp.set_b))) % 0.45/0.80 (define @t447 () (@var "Z3" tptp.set_b)) % 0.45/0.80 (define @t448 () (@var "Y2" tptp.set_b)) % 0.45/0.80 (define @t449 () (@var "X4" tptp.set_b)) % 0.45/0.80 (define @t450 () (_ tptp.ord_less_eq_set_b @t449)) % 0.45/0.80 (define @t451 () (_ tptp.ord_less_eq_set_b (_ (_ @t446 @t449) @t448))) % 0.45/0.80 (define @t452 () (@list @t449 @t448)) % 0.45/0.80 (define @t453 () (@var "F" (-> tptp.set_a tptp.set_a tptp.set_a))) % 0.45/0.80 (define @t454 () (@var "Z3" tptp.set_a)) % 0.45/0.80 (define @t455 () (@var "Y2" tptp.set_a)) % 0.45/0.80 (define @t456 () (@var "X4" tptp.set_a)) % 0.45/0.80 (define @t457 () (_ tptp.ord_less_eq_set_a @t456)) % 0.45/0.80 (define @t458 () (_ tptp.ord_less_eq_set_a (_ (_ @t453 @t456) @t455))) % 0.45/0.80 (define @t459 () (@list @t456 @t455)) % 0.45/0.80 (define @t460 () (@var "F" (-> tptp.b tptp.b tptp.b))) % 0.45/0.80 (define @t461 () (@var "Z3" tptp.b)) % 0.45/0.80 (define @t462 () (_ tptp.ord_less_eq_b (_ (_ @t460 @t198) @t116))) % 0.45/0.80 (define @t463 () (_ (_ tptp.inf_inf_set_b @t154) @t155)) % 0.45/0.80 (define @t464 () (_ (_ tptp.inf_inf_set_a @t157) @t158)) % 0.45/0.80 (define @t465 () (_ (_ tptp.inf_inf_b @t352) @t351)) % 0.45/0.80 (define @t466 () (_ @t434 @t140)) % 0.45/0.80 (define @t467 () (_ @t437 @t144)) % 0.45/0.80 (define @t468 () (_ @t439 @t57)) % 0.45/0.80 (define @t469 () (@var "S3" tptp.set_b)) % 0.45/0.80 (define @t470 () (@list @t182)) % 0.45/0.80 (define @t471 () (@list @t184)) % 0.45/0.80 (define @t472 () (_ tptp.ord_less_eq_set_b @t54)) % 0.45/0.80 (define @t473 () (_ tptp.ord_less_eq_set_a @t44)) % 0.45/0.80 (define @t474 () (_ tptp.ord_less_eq_set_b @t168)) % 0.45/0.80 (define @t475 () (_ tptp.ord_less_eq_set_a @t174)) % 0.45/0.80 (define @t476 () (@var "V3" tptp.set_b)) % 0.45/0.80 (define @t477 () (_ (_ tptp.inf_inf_set_b @t107) @t476)) % 0.45/0.80 (define @t478 () (_ @t8 @t476)) % 0.45/0.80 (define @t479 () (_ tptp.topolo1276428102open_b @t476)) % 0.45/0.80 (define @t480 () (and @t112 @t479 @t111 @t478 (= @t477 tptp.bot_bot_set_b))) % 0.45/0.80 (define @t481 () (=> @t480 tptp.thesis)) % 0.45/0.80 (define @t482 () (@list @t107 @t476)) % 0.45/0.80 (define @t483 () (forall @t482 @t481)) % 0.45/0.80 (define @t484 () (lambda @t470 (= @t182 tptp.bot_bot_set_b))) % 0.45/0.80 (define @t485 () (lambda @t471 (= @t184 tptp.bot_bot_set_a))) % 0.45/0.80 (define @t486 () (lambda @t77 (_ @t90 tptp.bot_bot_set_b))) % 0.45/0.80 (define @t487 () (lambda @t83 (_ @t94 tptp.bot_bot_set_a))) % 0.45/0.80 (define @t488 () (lambda @t470 (exists @t77 (= @t182 (_ (_ tptp.insert_b @t75) tptp.bot_bot_set_b))))) % 0.45/0.80 (define @t489 () (lambda @t471 (exists @t83 (= @t184 (_ (_ tptp.insert_a @t81) tptp.bot_bot_set_a))))) % 0.45/0.80 (define @t490 () (lambda @t150 (= (_ (_ tptp.inf_inf_set_b @t148) @t149) @t148))) % 0.45/0.80 (define @t491 () (lambda @t153 (= (_ (_ tptp.inf_inf_set_a @t151) @t152) @t151))) % 0.45/0.80 (define @t492 () (lambda @t377 (= (_ (_ tptp.inf_inf_b @t75) @t194) @t75))) % 0.45/0.80 (define @t493 () (tptp.f tptp.x0)) % 0.45/0.80 (define @t494 () (tptp.inf_inf_set_b @t5 @t4)) % 0.45/0.80 (define @t495 () (tptp.member_b tptp.a2 @t4)) % 0.45/0.80 (define @t496 () (tptp.member_b @t493 @t5)) % 0.45/0.80 (define @t497 () (tptp.topolo1276428102open_b @t4)) % 0.45/0.80 (define @t498 () (tptp.topolo1276428102open_b @t5)) % 0.45/0.80 (define @t499 () (forall @t15 (or (not @t498) (not @t497) (not @t496) (not @t495) (not (= tptp.bot_bot_set_b @t494))))) % 0.45/0.80 (define @t500 () (not @t499)) % 0.45/0.80 (define @t501 () (= tptp.a2 @t493)) % 0.45/0.80 (define @t502 () (= tptp.bot_bot_set_b @t6)) % 0.45/0.80 (define @t503 () (not @t502)) % 0.45/0.80 (define @t504 () (not @t9)) % 0.45/0.80 (define @t505 () (_ tptp.member_b @t493)) % 0.45/0.80 (define @t506 () (not @t11)) % 0.45/0.80 (define @t507 () (not @t12)) % 0.45/0.80 (define @t508 () (not @t13)) % 0.45/0.80 (define @t509 () (or @t508 @t507 @t506 @t504 @t503)) % 0.45/0.80 (define @t510 () (and @t13 @t12 @t11 @t9 @t502)) % 0.45/0.80 (define @t511 () (forall @t15 (not @t510))) % 0.45/0.80 (define @t512 () (not @t511)) % 0.45/0.80 (define @t513 () (@list true)) % 0.45/0.80 (define @t514 () (tptp.inf_inf_set_b @t107 @t476)) % 0.45/0.80 (define @t515 () (not (= tptp.bot_bot_set_b @t514))) % 0.45/0.80 (define @t516 () (tptp.member_b tptp.a2 @t476)) % 0.45/0.80 (define @t517 () (not @t516)) % 0.45/0.80 (define @t518 () (tptp.member_b @t493 @t107)) % 0.45/0.80 (define @t519 () (not @t518)) % 0.45/0.80 (define @t520 () (tptp.topolo1276428102open_b @t476)) % 0.45/0.80 (define @t521 () (not @t520)) % 0.45/0.80 (define @t522 () (tptp.topolo1276428102open_b @t107)) % 0.45/0.80 (define @t523 () (not @t522)) % 0.45/0.80 (define @t524 () (or @t523 @t521 @t519 @t517 @t515)) % 0.45/0.80 (define @t525 () (or @t523 @t519 @t521 @t517 @t515)) % 0.45/0.80 (define @t526 () (forall @t482 @t525)) % 0.45/0.80 (define @t527 () (forall @t482 @t524)) % 0.45/0.80 (define @t528 () (= tptp.bot_bot_set_b @t477)) % 0.45/0.80 (define @t529 () (not @t528)) % 0.45/0.80 (define @t530 () (not @t478)) % 0.45/0.80 (define @t531 () (not @t479)) % 0.45/0.80 (define @t532 () (not @t111)) % 0.45/0.80 (define @t533 () (not @t112)) % 0.45/0.80 (define @t534 () (or @t533 @t532 @t531 @t530 @t529)) % 0.45/0.80 (define @t535 () (forall @t482 @t534)) % 0.45/0.80 (define @t536 () (or tptp.thesis @t535)) % 0.45/0.80 (define @t537 () (or tptp.thesis @t534)) % 0.45/0.80 (define @t538 () (or @t533 @t531 @t532 @t530 @t529 tptp.thesis)) % 0.45/0.80 (define @t539 () (or @t533 @t531 @t532 @t530 @t529)) % 0.45/0.80 (define @t540 () (and @t112 @t479 @t111 @t478 @t528)) % 0.45/0.80 (assume @p1 @t3) % 0.45/0.80 (assume @p2 @t18) % 0.45/0.80 (assume @p3 (forall (@list @t20 @t19) (=> (_ tptp.topolo1276428102open_b @t20) (=> (_ tptp.topolo1276428102open_b @t19) (_ tptp.topolo1276428102open_b (_ (_ tptp.inf_inf_set_b @t20) @t19)))))) % 0.45/0.80 (assume @p4 (forall (@list @t22 @t21) (=> (_ tptp.topolo1276428101open_a @t22) (=> (_ tptp.topolo1276428101open_a @t21) (_ tptp.topolo1276428101open_a (_ (_ tptp.inf_inf_set_a @t22) @t21)))))) % 0.45/0.80 (assume @p5 (_ tptp.topolo1276428102open_b tptp.bot_bot_set_b)) % 0.45/0.80 (assume @p6 (_ tptp.topolo1276428101open_a tptp.bot_bot_set_a)) % 0.45/0.80 (assume @p7 (forall @t25 (= (_ @t24 @t23) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p8 (forall @t28 (= (_ @t27 @t26) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p9 (forall @t25 (= (_ @t29 tptp.bot_bot_set_a) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p10 (forall @t28 (= (_ @t30 tptp.bot_bot_set_b) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p11 (forall @t38 (=> @t37 (exists @t15 (and @t13 @t12 @t35 (_ @t32 @t4) @t7))))) % 0.45/0.80 (assume @p12 (forall @t38 (= @t37 (exists (@list @t40 @t39) (and @t42 (_ tptp.topolo1276428102open_b @t39) @t41 (_ @t32 @t39) (= (_ (_ tptp.inf_inf_set_b @t40) @t39) tptp.bot_bot_set_b)))))) % 0.45/0.80 (assume @p13 (forall @t52 (=> @t51 (=> @t50 @t49)))) % 0.45/0.80 (assume @p14 (forall @t62 (=> @t61 (=> @t60 @t59)))) % 0.45/0.80 (assume @p15 (forall @t52 (= @t49 (and @t51 @t50)))) % 0.45/0.80 (assume @p16 (forall @t62 (= @t59 (and @t61 @t60)))) % 0.45/0.80 (assume @p17 (forall @t65 (= (_ @t64 @t63) @t63))) % 0.45/0.80 (assume @p18 (forall @t68 (= (_ @t67 @t66) @t66))) % 0.45/0.80 (assume @p19 (forall @t28 (= (_ @t30 @t26) @t26))) % 0.45/0.80 (assume @p20 (forall @t25 (= (_ @t29 @t23) @t23))) % 0.45/0.80 (assume @p21 (forall @t71 (= (_ @t64 @t70) @t70))) % 0.45/0.80 (assume @p22 (forall @t74 (= (_ @t67 @t73) @t73))) % 0.45/0.80 (assume @p23 (forall @t80 (= (= tptp.bot_bot_set_b @t79) @t78))) % 0.45/0.80 (assume @p24 (forall @t86 (= (= tptp.bot_bot_set_a @t85) @t84))) % 0.45/0.80 (assume @p25 (forall @t80 (= @t87 @t78))) % 0.45/0.80 (assume @p26 (forall @t86 (= @t88 @t84))) % 0.45/0.80 (assume @p27 (forall @t92 (= (forall @t77 (not @t91)) @t89))) % 0.45/0.80 (assume @p28 (forall @t96 (= (forall @t83 (not @t95)) @t93))) % 0.45/0.80 (assume @p29 (forall (@list @t57) (not (_ @t58 tptp.bot_bot_set_b)))) % 0.45/0.80 (assume @p30 (forall (@list @t47) (not (_ @t48 tptp.bot_bot_set_a)))) % 0.45/0.80 (assume @p31 (forall @t100 (= (_ @t99 @t97) @t98))) % 0.45/0.80 (assume @p32 (forall @t104 (= (_ @t103 @t101) @t102))) % 0.45/0.80 (assume @p33 (forall @t71 (= (_ @t105 @t69) @t70))) % 0.45/0.80 (assume @p34 (forall @t74 (= (_ @t106 @t72) @t73))) % 0.45/0.80 (assume @p35 (forall @t100 (= (_ @t30 @t98) @t98))) % 0.45/0.80 (assume @p36 (forall @t104 (= (_ @t29 @t102) @t102))) % 0.45/0.80 (assume @p37 @t113) % 0.45/0.80 (assume @p38 (= tptp.bot_bot_set_b (_ tptp.collect_b tptp.bot_bot_b_o))) % 0.45/0.80 (assume @p39 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 0.45/0.80 (assume @p40 (forall @t92 (= (exists @t77 @t91) @t114))) % 0.45/0.80 (assume @p41 (forall @t96 (= (exists @t83 @t95) @t115))) % 0.45/0.80 (assume @p42 (forall @t92 (=> (forall (@list @t116) (not @t117)) @t89))) % 0.45/0.80 (assume @p43 (forall @t96 (=> (forall (@list @t118) (not @t119)) @t93))) % 0.45/0.80 (assume @p44 (forall (@list @t54 @t120) (=> @t89 @t123))) % 0.45/0.80 (assume @p45 (forall (@list @t44 @t124) (=> @t93 @t127))) % 0.45/0.80 (assume @p46 (forall @t128 (not (_ @t121 tptp.bot_bot_set_b)))) % 0.45/0.80 (assume @p47 (forall @t129 (not (_ @t125 tptp.bot_bot_set_a)))) % 0.45/0.80 (assume @p48 (forall @t134 (= @t133 (_ @t131 (_ @t30 @t130))))) % 0.45/0.80 (assume @p49 (forall @t139 (= @t138 (_ @t136 (_ @t29 @t135))))) % 0.45/0.80 (assume @p50 (forall (@list @t69 @t63 @t140) (= (_ @t141 (_ @t64 @t140)) @t143))) % 0.45/0.80 (assume @p51 (forall (@list @t72 @t66 @t144) (= (_ @t145 (_ @t67 @t144)) @t147))) % 0.45/0.80 (assume @p52 (= tptp.inf_inf_set_b (lambda @t150 (_ (_ tptp.inf_inf_set_b @t149) @t148)))) % 0.45/0.80 (assume @p53 (= tptp.inf_inf_set_a (lambda @t153 (_ (_ tptp.inf_inf_set_a @t152) @t151)))) % 0.45/0.80 (assume @p54 (= tptp.inf_inf_set_b (lambda @t156 (_ (_ tptp.inf_inf_set_b @t155) @t154)))) % 0.45/0.80 (assume @p55 (= tptp.inf_inf_set_a (lambda @t159 (_ (_ tptp.inf_inf_set_a @t158) @t157)))) % 0.45/0.80 (assume @p56 (forall @t134 (= (_ @t99 @t130) @t133))) % 0.45/0.80 (assume @p57 (forall @t139 (= (_ @t103 @t135) @t138))) % 0.45/0.80 (assume @p58 (forall @t160 (= (_ @t105 @t140) @t143))) % 0.45/0.80 (assume @p59 (forall @t161 (= (_ @t106 @t144) @t147))) % 0.45/0.80 (assume @p60 (forall (@list @t53 @t162 @t69 @t63) (=> (= @t53 (_ @t163 @t69)) (= (_ @t64 @t53) @t164)))) % 0.45/0.80 (assume @p61 (forall (@list @t43 @t165 @t72 @t66) (=> (= @t43 (_ @t166 @t72)) (= (_ @t67 @t43) @t167)))) % 0.45/0.80 (assume @p62 (forall (@list @t54 @t162 @t63 @t69) (=> (= @t54 (_ @t163 @t63)) (= (_ @t55 @t69) @t164)))) % 0.45/0.80 (assume @p63 (forall (@list @t44 @t165 @t66 @t72) (=> (= @t44 (_ @t166 @t66)) (= (_ @t45 @t72) @t167)))) % 0.45/0.80 (assume @p64 (forall @t173 (= @t172 (_ @t170 @t169)))) % 0.45/0.80 (assume @p65 (forall @t179 (= @t178 (_ @t176 @t175)))) % 0.45/0.80 (assume @p66 (forall @t180 (= (_ @t55 @t56) @t56))) % 0.45/0.80 (assume @p67 (forall @t181 (= (_ @t45 @t46) @t46))) % 0.45/0.80 (assume @p68 (= tptp.inf_inf_set_b (lambda (@list @t182 @t183) (_ (_ tptp.inf_inf_set_b @t183) @t182)))) % 0.45/0.80 (assume @p69 (= tptp.inf_inf_set_a (lambda (@list @t184 @t185) (_ (_ tptp.inf_inf_set_a @t185) @t184)))) % 0.45/0.80 (assume @p70 (forall @t92 (= (_ @t55 @t54) @t54))) % 0.45/0.80 (assume @p71 (forall @t96 (= (_ @t45 @t44) @t44))) % 0.45/0.80 (assume @p72 (forall @t173 (= (_ @t186 @t168) @t172))) % 0.45/0.80 (assume @p73 (forall @t179 (= (_ @t187 @t174) @t178))) % 0.45/0.80 (assume @p74 (forall (@list @t120 @t76) (= (_ @t121 @t79) (_ @t76 @t120)))) % 0.45/0.80 (assume @p75 (forall (@list @t124 @t82) (= (_ @t125 @t85) (_ @t82 @t124)))) % 0.45/0.80 (assume @p76 (forall @t92 (= (_ tptp.collect_b (lambda @t77 @t91)) @t54))) % 0.45/0.80 (assume @p77 (forall @t96 (= (_ tptp.collect_a (lambda @t83 @t95)) @t44))) % 0.45/0.80 (assume @p78 (forall @t62 (=> @t59 @t60))) % 0.45/0.80 (assume @p79 (forall @t52 (=> @t49 @t50))) % 0.45/0.80 (assume @p80 (forall @t62 (=> @t59 @t61))) % 0.45/0.80 (assume @p81 (forall @t52 (=> @t49 @t51))) % 0.45/0.80 (assume @p82 (forall @t62 (=> @t59 (not (=> @t61 @t188))))) % 0.45/0.80 (assume @p83 (forall @t52 (=> @t49 (not (=> @t51 @t189))))) % 0.45/0.80 (assume @p84 (forall @t38 (= @t37 (exists @t191 (and @t42 @t41 (not @t190)))))) % 0.45/0.80 (assume @p85 (forall @t38 (= @t37 (exists @t191 (and @t42 (not (= @t41 @t190))))))) % 0.45/0.80 (assume @p86 (forall @t38 (=> @t37 (exists @t193 (and @t13 @t35 (not @t192)))))) % 0.45/0.80 (assume @p87 (forall @t38 (=> @t37 (exists @t193 (and @t13 (not (= @t35 @t192))))))) % 0.45/0.80 (assume @p88 (forall @t180 (= @t195 (forall @t77 (=> @t91 (forall (@list @t194) (=> (_ (_ tptp.member_b @t194) @t53) (not (= @t75 @t194))))))))) % 0.45/0.80 (assume @p89 (forall @t181 (= @t197 (forall @t83 (=> @t95 (forall (@list @t196) (=> (_ (_ tptp.member_a @t196) @t43) (not (= @t81 @t196))))))))) % 0.45/0.80 (assume @p90 (forall @t92 (= (_ @t55 tptp.bot_bot_set_b) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p91 (forall @t96 (= (_ @t45 tptp.bot_bot_set_a) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p92 (forall (@list @t53) (= (_ @t27 @t53) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p93 (forall (@list @t43) (= (_ @t24 @t43) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p94 (forall @t180 (= @t195 (forall @t77 (=> @t91 (not (_ @t90 @t53))))))) % 0.45/0.80 (assume @p95 (forall @t181 (= @t197 (forall @t83 (=> @t95 (not (_ @t94 @t43))))))) % 0.45/0.80 (assume @p96 (forall @t180 (=> (forall @t201 (=> @t200 (not (_ @t199 @t53)))) @t195))) % 0.45/0.80 (assume @p97 (forall @t181 (=> (forall @t205 (=> @t204 (not (_ @t203 @t43)))) @t197))) % 0.45/0.80 (assume @p98 (=> (not @t113) (not (_ (_ tptp.lower_464587817at_a_b tptp.x0) tptp.f)))) % 0.45/0.80 (assume @p99 (forall @t80 (= @t87 (= @t76 tptp.bot_bot_b_o)))) % 0.45/0.80 (assume @p100 (forall @t86 (= @t88 (= @t82 tptp.bot_bot_a_o)))) % 0.45/0.80 (assume @p101 (forall @t92 (=> @t114 (=> (forall @t207 (=> @t200 (=> @t117 (= @t198 @t116)))) @t206)))) % 0.45/0.80 (assume @p102 (forall @t96 (=> @t115 (=> (forall (@list @t202 @t118) (=> @t204 (=> @t119 (= @t202 @t118)))) @t208)))) % 0.45/0.80 (assume @p103 (forall @t180 (= (_ @t55 (_ @t209 @t54)) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p104 (forall @t181 (= (_ @t45 (_ @t210 @t44)) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p105 (forall @t217 (= (= @t216 tptp.bot_bot_set_b) (and @t212 @t195)))) % 0.45/0.80 (assume @p106 (forall @t224 (= (= @t223 tptp.bot_bot_set_a) (and @t219 @t197)))) % 0.45/0.80 (assume @p107 (forall @t217 (= (= tptp.bot_bot_set_b @t216) (and @t212 @t225)))) % 0.45/0.80 (assume @p108 (forall @t224 (= (= tptp.bot_bot_set_a @t223) (and @t219 @t226)))) % 0.45/0.80 (assume @p109 (forall @t228 (_ @t227 @t33))) % 0.45/0.80 (assume @p110 (forall @t234 (=> (=> @t212 @t233) @t232))) % 0.45/0.80 (assume @p111 (forall @t240 (=> (=> @t219 @t239) @t238))) % 0.45/0.80 (assume @p112 (forall @t242 (= @t241 (or @t233 @t122)))) % 0.45/0.80 (assume @p113 (forall @t244 (= @t243 (or @t239 @t126)))) % 0.45/0.80 (assume @p114 (forall @t62 (=> @t61 (=> @t188 @t247)))) % 0.45/0.80 (assume @p115 (forall @t52 (=> @t51 (=> @t189 @t250)))) % 0.45/0.80 (assume @p116 (forall @t62 (= @t247 (and @t61 @t188)))) % 0.45/0.80 (assume @p117 (forall @t52 (= @t250 (and @t51 @t189)))) % 0.45/0.80 (assume @p118 (forall @t134 (= @t254 (and @t253 @t252)))) % 0.45/0.80 (assume @p119 (forall @t139 (= @t258 (and @t257 @t256)))) % 0.45/0.80 (assume @p120 (forall @t263 (= @t262 (and @t261 @t260)))) % 0.45/0.80 (assume @p121 (forall @t160 (= @t267 (and @t266 @t265)))) % 0.45/0.80 (assume @p122 (forall @t161 (= @t271 (and @t270 @t269)))) % 0.45/0.80 (assume @p123 (forall @t276 (= @t275 (and @t274 @t273)))) % 0.45/0.80 (assume @p124 (forall @t128 (_ @t121 @t277))) % 0.45/0.80 (assume @p125 (forall @t129 (_ @t125 @t278))) % 0.45/0.80 (assume @p126 (forall @t283 @t282)) % 0.45/0.80 (assume @p127 (forall @t288 @t287)) % 0.45/0.80 (assume @p128 (forall @t283 @t289)) % 0.45/0.80 (assume @p129 (forall @t288 @t290)) % 0.45/0.80 (assume @p130 (forall @t217 (= (_ @t215 @t279) @t291))) % 0.45/0.80 (assume @p131 (forall @t224 (= (_ @t222 @t284) @t292))) % 0.45/0.80 (assume @p132 (forall @t217 @t294)) % 0.45/0.80 (assume @p133 (forall @t224 @t296)) % 0.45/0.80 (assume @p134 (forall @t217 @t297)) % 0.45/0.80 (assume @p135 (forall @t224 @t298)) % 0.45/0.80 (assume @p136 (forall @t92 (= (_ @t245 tptp.bot_bot_set_b) @t54))) % 0.45/0.80 (assume @p137 (forall @t96 (= (_ @t248 tptp.bot_bot_set_a) @t44))) % 0.45/0.80 (assume @p138 (forall @t92 (= (_ (_ tptp.minus_minus_set_b tptp.bot_bot_set_b) @t54) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p139 (forall @t96 (= (_ (_ tptp.minus_minus_set_a tptp.bot_bot_set_a) @t44) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p140 (forall @t92 (= (_ @t245 @t54) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p141 (forall @t96 (= (_ @t248 @t44) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p142 (forall @t303 (=> @t302 (= (_ @t245 @t300) @t246)))) % 0.45/0.80 (assume @p143 (forall @t310 (=> @t309 (= (_ @t248 @t306) @t249)))) % 0.45/0.80 (assume @p144 (forall @t316 @t315)) % 0.45/0.80 (assume @p145 (forall @t322 @t321)) % 0.45/0.80 (assume @p146 (forall (@list @t54 @t229 @t53) (= (= tptp.bot_bot_set_b (_ @t55 @t231)) (and (not (_ @t323 @t54)) @t225)))) % 0.45/0.80 (assume @p147 (forall (@list @t44 @t235 @t43) (= (= tptp.bot_bot_set_a (_ @t45 @t237)) (and (not (_ @t324 @t44)) @t226)))) % 0.45/0.80 (assume @p148 (forall (@list @t53 @t120 @t54) (= (= (_ @t170 @t214) tptp.bot_bot_set_b) (and @t212 (= (_ @t170 @t54) tptp.bot_bot_set_b))))) % 0.45/0.80 (assume @p149 (forall (@list @t43 @t124 @t44) (= (= (_ @t176 @t221) tptp.bot_bot_set_a) (and @t219 (= (_ @t176 @t44) tptp.bot_bot_set_a))))) % 0.45/0.80 (assume @p150 (forall @t327 (= @t326 @t214))) % 0.45/0.80 (assume @p151 (forall @t330 (= @t329 @t221))) % 0.45/0.80 (assume @p152 (forall @t228 (_ tptp.is_singleton_b @t331))) % 0.45/0.80 (assume @p153 (forall @t333 (_ tptp.is_singleton_a @t332))) % 0.45/0.80 (assume @p154 (forall @t62 (=> @t247 (not (=> @t61 @t60))))) % 0.45/0.80 (assume @p155 (forall @t52 (=> @t250 (not (=> @t51 @t50))))) % 0.45/0.80 (assume @p156 (forall @t62 (=> @t247 @t61))) % 0.45/0.80 (assume @p157 (forall @t52 (=> @t250 @t51))) % 0.45/0.80 (assume @p158 (forall @t62 (=> @t247 @t188))) % 0.45/0.80 (assume @p159 (forall @t52 (=> @t250 @t189))) % 0.45/0.80 (assume @p160 (forall @t242 (=> @t241 (=> @t334 @t122)))) % 0.45/0.80 (assume @p161 (forall @t244 (=> @t243 (=> @t335 @t126)))) % 0.45/0.80 (assume @p162 (forall (@list @t120 @t53) (_ @t121 @t279))) % 0.45/0.80 (assume @p163 (forall (@list @t124 @t43) (_ @t125 @t284))) % 0.45/0.80 (assume @p164 (forall @t234 (=> @t211 @t232))) % 0.45/0.80 (assume @p165 (forall @t240 (=> @t218 @t238))) % 0.45/0.80 (assume @p166 (forall @t338 (=> @t301 (not (forall @t337 (=> (= @t54 (_ @t299 @t336)) (_ @t34 @t336))))))) % 0.45/0.80 (assume @p167 (forall @t341 (=> @t308 (not (forall @t340 (=> (= @t44 (_ @t305 @t339)) (_ @t307 @t339))))))) % 0.45/0.80 (assume @p168 (forall @t303 (=> @t302 (=> @t343 (= (= @t311 @t300) @t342))))) % 0.45/0.80 (assume @p169 (forall @t310 (=> @t309 (=> @t345 (= (= @t317 @t306) @t344))))) % 0.45/0.80 (assume @p170 (forall @t327 (=> @t122 (= @t214 @t54)))) % 0.45/0.80 (assume @p171 (forall @t330 (=> @t126 (= @t221 @t44)))) % 0.45/0.80 (assume @p172 (forall (@list @t120 @t54 @t229 @t53) (=> @t123 (=> (not (_ @t323 @t53)) (= (= @t214 @t231) (and (=> @t233 @t342) (=> @t334 (exists (@list @t346) (and (= @t54 (_ @t230 @t346)) (not (_ @t323 @t346)) (= @t53 (_ @t213 @t346)) (not (_ @t121 @t346))))))))))) % 0.45/0.80 (assume @p173 (forall (@list @t124 @t44 @t235 @t43) (=> @t127 (=> (not (_ @t324 @t43)) (= (= @t221 @t237) (and (=> @t239 @t344) (=> @t335 (exists (@list @t347) (and (= @t44 (_ @t236 @t347)) (not (_ @t324 @t347)) (= @t43 (_ @t220 @t347)) (not (_ @t125 @t347))))))))))) % 0.45/0.80 (assume @p174 (forall @t316 (and @t315 (=> @t343 (= @t313 (_ @t299 @t246)))))) % 0.45/0.80 (assume @p175 (forall @t322 (and @t321 (=> @t345 (= @t319 (_ @t305 @t249)))))) % 0.45/0.80 (assume @p176 (forall @t327 (=> @t122 (exists @t337 (and (= @t54 (_ @t213 @t336)) (not (_ @t121 @t336))))))) % 0.45/0.80 (assume @p177 (forall @t330 (=> @t126 (exists @t340 (and (= @t44 (_ @t220 @t339)) (not (_ @t125 @t339))))))) % 0.45/0.80 (assume @p178 (forall @t350 (=> @t349 (=> @t274 @t233)))) % 0.45/0.80 (assume @p179 (= @t358 (lambda @t355 (and @t354 @t353)))) % 0.45/0.80 (assume @p180 (forall (@list @t229 @t120 @t57) (=> @t349 (=> (_ @t359 @t229) (_ @t359 @t120))))) % 0.45/0.80 (assume @p181 (forall (@list @t360 @t120 @t229) (=> (forall @t364 (=> (_ (_ tptp.ord_less_eq_b @t362) @t361) @t363)) (=> (forall @t364 (=> (_ (_ @t360 @t361) @t362) @t363)) (_ (_ @t360 @t120) @t229))))) % 0.45/0.80 (assume @p182 (forall @t128 (_ @t272 @t120))) % 0.45/0.80 (assume @p183 (forall @t263 (=> @t261 (=> @t366 @t260)))) % 0.45/0.80 (assume @p184 (forall @t367 (=> @t274 (=> @t349 @t233)))) % 0.45/0.80 (assume @p185 (forall @t276 (=> @t274 (=> @t368 @t273)))) % 0.45/0.80 (assume @p186 (forall @t276 (=> @t233 @t370))) % 0.45/0.80 (assume @p187 (= @t358 (lambda @t355 (and @t353 @t354)))) % 0.45/0.80 (assume @p188 (forall @t372 (=> @t371 (= @t261 @t36)))) % 0.45/0.80 (assume @p189 (forall @t263 (=> (=> @t261 (not @t366)) (=> (=> @t371 (not @t260)) (=> (=> @t260 (not @t376)) (=> (=> @t376 (not @t371)) (=> (=> @t366 (not @t375)) (not (=> @t375 @t373))))))))) % 0.45/0.80 (assume @p190 (forall @t276 (=> @t274 @t370))) % 0.45/0.80 (assume @p191 (forall @t38 (=> @t373 @t371))) % 0.45/0.80 (assume @p192 (forall @t38 (=> @t36 @t261))) % 0.45/0.80 (assume @p193 (forall @t38 (or @t261 @t371))) % 0.45/0.80 (assume @p194 (forall @t38 (=> @t261 (=> @t371 @t36)))) % 0.45/0.80 (assume @p195 (= @t358 (lambda @t377 (and (_ (_ tptp.ord_less_eq_b @t75) @t194) (_ (_ tptp.ord_less_eq_b @t194) @t75))))) % 0.45/0.80 (assume @p196 (forall @t384 (=> @t274 (=> (= @t383 @t57) @t382)))) % 0.45/0.80 (assume @p197 (forall @t386 (=> (= @t120 @t383) @t385))) % 0.45/0.80 (assume @p198 (forall @t384 (=> @t274 (=> (_ (_ tptp.ord_less_eq_b @t383) @t57) @t382)))) % 0.45/0.80 (assume @p199 (forall @t386 (=> (_ @t272 @t383) @t385))) % 0.45/0.80 (assume @p200 (forall @t338 (=> @t302 (= (_ @t312 @t331) @t54)))) % 0.45/0.80 (assume @p201 (forall @t341 (=> @t309 (= (_ @t318 @t332) @t44)))) % 0.45/0.80 (assume @p202 (forall @t388 (= @t387 (_ (_ tptp.minus_minus_set_b @t325) @t53)))) % 0.45/0.80 (assume @p203 (forall @t390 (= @t389 (_ (_ tptp.minus_minus_set_a @t328) @t43)))) % 0.45/0.80 (assume @p204 (forall @t327 (=> @t122 (= @t326 @t54)))) % 0.45/0.80 (assume @p205 (forall @t330 (=> @t126 (= @t329 @t44)))) % 0.45/0.80 (assume @p206 (forall @t388 (= @t387 (_ (_ tptp.minus_minus_set_b @t246) @t277)))) % 0.45/0.80 (assume @p207 (forall @t390 (= @t389 (_ (_ tptp.minus_minus_set_a @t249) @t278)))) % 0.45/0.80 (assume @p208 (forall @t65 (_ @t391 @t63))) % 0.45/0.80 (assume @p209 (forall @t68 (_ @t392 @t66))) % 0.45/0.80 (assume @p210 (forall @t128 (_ (_ tptp.ord_less_eq_b tptp.bot_bot_b) @t120))) % 0.45/0.80 (assume @p211 (forall @t65 (= @t394 @t393))) % 0.45/0.80 (assume @p212 (forall @t68 (= @t396 @t395))) % 0.45/0.80 (assume @p213 (forall @t128 (= @t398 @t397))) % 0.45/0.80 (assume @p214 (forall @t65 (=> @t394 @t393))) % 0.45/0.80 (assume @p215 (forall @t68 (=> @t396 @t395))) % 0.45/0.80 (assume @p216 (forall @t128 (=> @t398 @t397))) % 0.45/0.80 (assume @p217 (forall @t92 (=> @t206 (not (forall @t201 (not (= @t54 (_ (_ tptp.insert_b @t198) tptp.bot_bot_set_b)))))))) % 0.45/0.80 (assume @p218 (forall @t96 (=> @t208 (not (forall @t205 (not (= @t44 (_ (_ tptp.insert_a @t202) tptp.bot_bot_set_a)))))))) % 0.45/0.80 (assume @p219 (forall @t350 (=> @t400 @t399))) % 0.45/0.80 (assume @p220 (forall @t403 (=> @t402 @t401))) % 0.45/0.80 (assume @p221 (forall @t350 (= @t400 @t399))) % 0.45/0.80 (assume @p222 (forall @t403 (= @t402 @t401))) % 0.45/0.80 (assume @p223 (forall (@list @t120 @t229 @t57 @t404) (= (= (_ @t213 @t405) (_ (_ tptp.insert_b @t57) (_ (_ tptp.insert_b @t404) tptp.bot_bot_set_b))) (or (and (= @t120 @t57) (= @t229 @t404)) (and (= @t120 @t404) @t368))))) % 0.45/0.80 (assume @p224 (forall (@list @t124 @t235 @t47 @t406) (= (= (_ @t220 @t407) (_ (_ tptp.insert_a @t47) (_ (_ tptp.insert_a @t406) tptp.bot_bot_set_a))) (or (and (= @t124 @t47) (= @t235 @t406)) (and (= @t124 @t406) (= @t235 @t47)))))) % 0.45/0.80 (assume @p225 (forall @t327 (not (= @t214 tptp.bot_bot_set_b)))) % 0.45/0.80 (assume @p226 (forall @t330 (not (= @t221 tptp.bot_bot_set_a)))) % 0.45/0.80 (assume @p227 (forall @t367 (=> (= @t277 @t405) @t233))) % 0.45/0.80 (assume @p228 (forall (@list @t124 @t235) (=> (= @t278 @t407) @t239))) % 0.45/0.80 (assume @p229 (forall @t283 (and @t289 @t282))) % 0.45/0.80 (assume @p230 (forall @t288 (and @t290 @t287))) % 0.45/0.80 (assume @p231 (forall @t217 (and @t297 @t294))) % 0.45/0.80 (assume @p232 (forall @t224 (and @t298 @t296))) % 0.45/0.80 (assume @p233 (forall @t173 (= (_ (_ tptp.minus_minus_set_b @t56) @t168) (_ @t55 (_ @t209 @t168))))) % 0.45/0.80 (assume @p234 (forall @t179 (= (_ (_ tptp.minus_minus_set_a @t46) @t174) (_ @t45 (_ @t210 @t174))))) % 0.45/0.80 (assume @p235 (forall (@list @t54 @t168 @t53) (= @t409 (_ @t408 @t53)))) % 0.45/0.80 (assume @p236 (forall (@list @t44 @t174 @t43) (= @t411 (_ @t410 @t43)))) % 0.45/0.80 (assume @p237 (forall @t180 (= (_ @t245 @t246) @t56))) % 0.45/0.80 (assume @p238 (forall @t181 (= (_ @t248 @t249) @t46))) % 0.45/0.80 (assume @p239 (forall @t413 (= (_ @t412 @t246) (_ (_ tptp.minus_minus_set_b (_ @t412 @t54)) (_ @t412 @t53))))) % 0.45/0.80 (assume @p240 (forall @t415 (= (_ @t414 @t249) (_ (_ tptp.minus_minus_set_a (_ @t414 @t44)) (_ @t414 @t43))))) % 0.45/0.80 (assume @p241 (forall @t173 (= (_ (_ tptp.inf_inf_set_b @t246) @t168) @t409))) % 0.45/0.80 (assume @p242 (forall @t179 (= (_ (_ tptp.inf_inf_set_a @t249) @t174) @t411))) % 0.45/0.80 (assume @p243 (forall @t100 (_ @t416 @t97))) % 0.45/0.80 (assume @p244 (forall @t104 (_ @t417 @t101))) % 0.45/0.80 (assume @p245 (forall @t38 (_ @t419 @t31))) % 0.45/0.80 (assume @p246 (forall @t100 (_ @t416 @t26))) % 0.45/0.80 (assume @p247 (forall @t104 (_ @t417 @t23))) % 0.45/0.80 (assume @p248 (forall @t38 (_ @t419 @t33))) % 0.45/0.80 (assume @p249 (forall @t423 (=> @t422 (not (=> @t421 (not @t420)))))) % 0.45/0.80 (assume @p250 (forall @t427 (=> @t426 (not (=> @t425 (not @t424)))))) % 0.45/0.80 (assume @p251 (forall @t432 (=> @t431 (not (=> @t429 (not @t428)))))) % 0.45/0.80 (assume @p252 (forall @t423 (=> @t421 (=> @t420 @t422)))) % 0.45/0.80 (assume @p253 (forall @t427 (=> @t425 (=> @t424 @t426)))) % 0.45/0.80 (assume @p254 (forall @t432 (=> @t429 (=> @t428 @t431)))) % 0.45/0.80 (assume @p255 (forall (@list @t63 @t140 @t69 @t433) (=> @t265 (=> (_ @t435 @t433) (_ @t434 (_ (_ tptp.inf_inf_set_b @t140) @t433)))))) % 0.45/0.80 (assume @p256 (forall (@list @t66 @t144 @t72 @t436) (=> @t269 (=> (_ @t438 @t436) (_ @t437 (_ (_ tptp.inf_inf_set_a @t144) @t436)))))) % 0.45/0.80 (assume @p257 (forall (@list @t120 @t57 @t229 @t404) (=> @t273 (=> (_ @t348 @t404) (_ @t439 (_ (_ tptp.inf_inf_b @t57) @t404)))))) % 0.45/0.80 (assume @p258 (forall (@list @t63 @t26 @t69) (=> (_ @t264 @t26) @t440))) % 0.45/0.80 (assume @p259 (forall (@list @t66 @t23 @t72) (=> (_ @t268 @t23) @t441))) % 0.45/0.80 (assume @p260 (forall (@list @t120 @t33 @t229) (=> (_ @t272 @t33) @t442))) % 0.45/0.80 (assume @p261 (forall (@list @t69 @t26 @t63) (=> (_ @t435 @t26) @t440))) % 0.45/0.80 (assume @p262 (forall (@list @t72 @t23 @t66) (=> (_ @t438 @t23) @t441))) % 0.45/0.80 (assume @p263 (forall (@list @t229 @t33 @t120) (=> (_ @t348 @t33) @t442))) % 0.45/0.80 (assume @p264 (forall @t71 (=> @t266 @t443))) % 0.45/0.80 (assume @p265 (forall @t74 (=> @t270 @t444))) % 0.45/0.80 (assume @p266 (forall @t367 (=> @t274 @t445))) % 0.45/0.80 (assume @p267 (forall @t71 (=> @t443 @t266))) % 0.45/0.80 (assume @p268 (forall @t74 (=> @t444 @t270))) % 0.45/0.80 (assume @p269 (forall @t367 (=> @t445 @t274))) % 0.45/0.80 (assume @p270 (forall (@list @t446 @t26 @t97) (=> (forall @t452 (_ @t451 @t449)) (=> (forall @t452 (_ @t451 @t448)) (=> (forall (@list @t449 @t448 @t447) (=> (_ @t450 @t448) (=> (_ @t450 @t447) (_ @t450 (_ (_ @t446 @t448) @t447))))) (= @t98 (_ (_ @t446 @t26) @t97))))))) % 0.45/0.80 (assume @p271 (forall (@list @t453 @t23 @t101) (=> (forall @t459 (_ @t458 @t456)) (=> (forall @t459 (_ @t458 @t455)) (=> (forall (@list @t456 @t455 @t454) (=> (_ @t457 @t455) (=> (_ @t457 @t454) (_ @t457 (_ (_ @t453 @t455) @t454))))) (= @t102 (_ (_ @t453 @t23) @t101))))))) % 0.45/0.80 (assume @p272 (forall (@list @t460 @t33 @t31) (=> (forall @t207 (_ @t462 @t198)) (=> (forall @t207 (_ @t462 @t116)) (=> (forall (@list @t198 @t116 @t461) (=> @t380 (=> (_ @t379 @t461) (_ @t379 (_ (_ @t460 @t116) @t461))))) (= @t418 (_ (_ @t460 @t33) @t31))))))) % 0.45/0.80 (assume @p273 (forall @t71 (=> @t266 (= @t70 @t63)))) % 0.45/0.80 (assume @p274 (forall @t74 (=> @t270 (= @t73 @t66)))) % 0.45/0.80 (assume @p275 (forall @t367 (=> @t274 (= @t430 @t120)))) % 0.45/0.80 (assume @p276 (forall (@list @t69 @t63) (=> (_ @t435 @t63) (= @t70 @t69)))) % 0.45/0.80 (assume @p277 (forall (@list @t72 @t66) (=> (_ @t438 @t66) (= @t73 @t72)))) % 0.45/0.80 (assume @p278 (forall @t350 (=> @t349 (= @t430 @t229)))) % 0.45/0.80 (assume @p279 (forall @t100 (=> @t253 (= @t98 @t26)))) % 0.45/0.80 (assume @p280 (forall @t104 (=> @t257 (= @t102 @t23)))) % 0.45/0.80 (assume @p281 (forall @t38 (=> @t261 (= @t418 @t33)))) % 0.45/0.80 (assume @p282 (forall (@list @t97 @t26) (=> (_ (_ tptp.ord_less_eq_set_b @t97) @t26) (= @t98 @t97)))) % 0.45/0.80 (assume @p283 (forall (@list @t101 @t23) (=> (_ (_ tptp.ord_less_eq_set_a @t101) @t23) (= @t102 @t101)))) % 0.45/0.80 (assume @p284 (forall @t372 (=> @t371 (= @t418 @t31)))) % 0.45/0.80 (assume @p285 (forall @t160 (=> @t267 (not (=> @t266 (not @t265)))))) % 0.45/0.80 (assume @p286 (forall @t161 (=> @t271 (not (=> @t270 (not @t269)))))) % 0.45/0.80 (assume @p287 (forall @t276 (=> @t275 (not (=> @t274 (not @t273)))))) % 0.45/0.80 (assume @p288 (forall @t160 (=> @t266 (=> @t265 @t267)))) % 0.45/0.80 (assume @p289 (forall @t161 (=> @t270 (=> @t269 @t271)))) % 0.45/0.80 (assume @p290 (forall @t276 (=> @t274 (=> @t273 @t275)))) % 0.45/0.80 (assume @p291 (forall @t134 (=> @t253 (=> @t252 @t254)))) % 0.45/0.80 (assume @p292 (forall @t139 (=> @t257 (=> @t256 @t258)))) % 0.45/0.80 (assume @p293 (forall @t263 (=> @t261 (=> @t260 @t262)))) % 0.45/0.80 (assume @p294 (= tptp.ord_less_eq_set_b (lambda @t156 (= @t154 @t463)))) % 0.45/0.80 (assume @p295 (= tptp.ord_less_eq_set_a (lambda @t159 (= @t157 @t464)))) % 0.45/0.80 (assume @p296 (= tptp.ord_less_eq_b (lambda @t355 (= @t352 @t465)))) % 0.45/0.80 (assume @p297 (forall @t71 (_ @t434 @t63))) % 0.45/0.80 (assume @p298 (forall @t74 (_ @t437 @t66))) % 0.45/0.80 (assume @p299 (forall @t367 (_ @t439 @t120))) % 0.45/0.80 (assume @p300 (forall @t71 (_ @t434 @t69))) % 0.45/0.80 (assume @p301 (forall @t74 (_ @t437 @t72))) % 0.45/0.80 (assume @p302 (forall @t367 (_ @t439 @t229))) % 0.45/0.80 (assume @p303 (= tptp.ord_less_eq_set_b (lambda @t156 (= @t463 @t154)))) % 0.45/0.80 (assume @p304 (= tptp.ord_less_eq_set_a (lambda @t159 (= @t464 @t157)))) % 0.45/0.80 (assume @p305 (= tptp.ord_less_eq_b (lambda @t355 (= @t465 @t352)))) % 0.45/0.80 (assume @p306 (= tptp.ord_less_eq_set_b (lambda (@list @t155 @t154) (= @t463 @t155)))) % 0.45/0.80 (assume @p307 (= tptp.ord_less_eq_set_a (lambda (@list @t158 @t157) (= @t464 @t158)))) % 0.45/0.80 (assume @p308 (= tptp.ord_less_eq_b (lambda (@list @t351 @t352) (= @t465 @t351)))) % 0.45/0.80 (assume @p309 (forall (@list @t63 @t140 @t69) (=> @t265 @t466))) % 0.45/0.80 (assume @p310 (forall (@list @t66 @t144 @t72) (=> @t269 @t467))) % 0.45/0.80 (assume @p311 (forall (@list @t120 @t57 @t229) (=> @t273 @t468))) % 0.45/0.80 (assume @p312 (forall (@list @t69 @t140 @t63) (=> (_ @t435 @t140) @t466))) % 0.45/0.80 (assume @p313 (forall (@list @t72 @t144 @t66) (=> (_ @t438 @t144) @t467))) % 0.45/0.80 (assume @p314 (forall (@list @t229 @t57 @t120) (=> @t369 @t468))) % 0.45/0.80 (assume @p315 (forall @t180 (=> @t195 (= @t246 @t54)))) % 0.45/0.80 (assume @p316 (forall @t181 (=> @t197 (= @t249 @t44)))) % 0.45/0.80 (assume @p317 (forall (@list @t469 @t33) (=> (_ tptp.topolo1276428102open_b @t469) (_ tptp.topolo1276428102open_b (_ (_ tptp.minus_minus_set_b @t469) @t331))))) % 0.45/0.80 (assume @p318 (forall @t180 (= (_ @t186 @t246) tptp.bot_bot_set_b))) % 0.45/0.80 (assume @p319 (forall @t181 (= (_ @t187 @t249) tptp.bot_bot_set_a))) % 0.45/0.80 (assume @p320 (= tptp.is_singleton_b (lambda @t470 (= @t182 (_ (_ tptp.insert_b (_ tptp.the_elem_b @t182)) tptp.bot_bot_set_b))))) % 0.45/0.80 (assume @p321 (= tptp.is_singleton_a (lambda @t471 (= @t184 (_ (_ tptp.insert_a (_ tptp.the_elem_a @t184)) tptp.bot_bot_set_a))))) % 0.45/0.80 (assume @p322 (forall @t228 (= (_ tptp.the_elem_b @t331) @t33))) % 0.45/0.80 (assume @p323 (forall @t333 (= (_ tptp.the_elem_a @t332) @t304))) % 0.45/0.80 (assume @p324 (forall @t92 (_ @t391 @t54))) % 0.45/0.80 (assume @p325 (forall @t96 (_ @t392 @t44))) % 0.45/0.80 (assume @p326 (forall @t92 (= (_ @t472 tptp.bot_bot_set_b) @t89))) % 0.45/0.80 (assume @p327 (forall @t96 (= (_ @t473 tptp.bot_bot_set_a) @t93))) % 0.45/0.80 (assume @p328 (forall @t303 (= (_ (_ tptp.ord_less_eq_set_b @t311) @t53) (and @t314 (_ @t472 @t53))))) % 0.45/0.80 (assume @p329 (forall @t310 (= (_ (_ tptp.ord_less_eq_set_a @t317) @t43) (and @t320 (_ @t473 @t43))))) % 0.45/0.80 (assume @p330 (forall @t413 (= (_ @t474 @t56) (and (_ @t474 @t54) (_ @t474 @t53))))) % 0.45/0.80 (assume @p331 (forall @t415 (= (_ @t475 @t46) (and (_ @t475 @t44) (_ @t475 @t43))))) % 0.45/0.80 (assume @p332 (forall (@list @t235 @t124 @t44) (= (= @t407 @t221) (and @t239 (_ @t473 @t407))))) % 0.45/0.80 (assume @p333 @t483) % 0.45/0.80 (assume @p334 (not tptp.thesis)) % 0.45/0.80 (assume @p335 true) % 0.45/0.80 (step @p336 (= tptp.is_empty_b @t484) :rule refl :args (@t484)) % 0.45/0.80 (step @p337 (= tptp.is_empty_a @t485) :rule refl :args (@t485)) % 0.45/0.80 (step @p338 (= tptp.bot_bot_b_o @t486) :rule refl :args (@t486)) % 0.45/0.80 (step @p339 (= tptp.bot_bot_a_o @t487) :rule refl :args (@t487)) % 0.45/0.80 (step @p340 (= tptp.is_singleton_b @t488) :rule refl :args (@t488)) % 0.45/0.80 (step @p341 (= tptp.is_singleton_a @t489) :rule refl :args (@t489)) % 0.45/0.80 (step @p342 (= tptp.ord_less_eq_set_b @t490) :rule refl :args (@t490)) % 0.45/0.80 (step @p343 (= tptp.ord_less_eq_set_a @t491) :rule refl :args (@t491)) % 0.45/0.80 (step @p344 (= tptp.ord_less_eq_b @t492) :rule refl :args (@t492)) % 0.45/0.80 (step @p345 :rule refl :args (@t493)) % 0.45/0.80 (step @p346 :rule refl :args (@t1)) % 0.45/0.80 (step @p347 :rule cong :premises (@p346 @p345) :args ((= @t1 @t493))) % 0.45/0.80 (step @p348 :rule symm :premises (@p347)) % 0.45/0.80 (step @p349 :rule eq_resolve :premises (@p346 @p348)) % 0.45/0.80 (step @p350 :rule refl :args (tptp.a2)) % 0.45/0.80 (step @p351 :rule cong :premises (@p350 @p349) :args (@t2)) % 0.45/0.80 (step @p352 :rule cong :premises (@p351) :args (@t3)) % 0.45/0.80 (step @p353 :rule eq_resolve :premises (@p1 @p352)) % 0.45/0.80 (step @p354 :rule refl :args (@t500)) % 0.45/0.80 (step @p355 :rule bool-double-not-elim :args (@t501)) % 0.45/0.80 (step @p356 :rule nary_cong :premises (@p355 @p354) :args ((or (not (not @t501)) @t500))) % 0.45/0.80 (step @p357 :rule cong :premises (@p352 @p354) :args ((=> @t3 @t500))) % 0.45/0.80 (step @p358 :rule refl :args (@t494)) % 0.45/0.80 (step @p359 :rule refl :args (@t6)) % 0.45/0.80 (step @p360 :rule cong :premises (@p359 @p358) :args ((= @t6 @t494))) % 0.45/0.80 (step @p361 :rule symm :premises (@p360)) % 0.45/0.80 (step @p362 :rule eq_resolve :premises (@p359 @p361)) % 0.45/0.80 (step @p363 :rule refl :args (tptp.bot_bot_set_b)) % 0.45/0.80 (step @p364 :rule cong :premises (@p363 @p362) :args (@t502)) % 0.45/0.80 (step @p365 :rule cong :premises (@p364) :args (@t503)) % 0.45/0.80 (step @p366 :rule refl :args (@t495)) % 0.45/0.80 (step @p367 :rule refl :args (@t9)) % 0.45/0.80 (step @p368 :rule cong :premises (@p367 @p366) :args ((= @t9 @t495))) % 0.45/0.80 (step @p369 :rule symm :premises (@p368)) % 0.45/0.80 (step @p370 :rule eq_resolve :premises (@p367 @p369)) % 0.45/0.80 (step @p371 :rule cong :premises (@p370) :args (@t504)) % 0.45/0.80 (step @p372 :rule refl :args ((tptp.member_b @t1 @t5))) % 0.45/0.80 (step @p373 :rule refl :args (@t5)) % 0.45/0.80 (step @p374 :rule cong :premises (@p345 @p373) :args (@t496)) % 0.45/0.80 (step @p375 :rule trans :premises (@p374 @p372)) % 0.45/0.80 (step @p376 :rule refl :args (tptp.member_b)) % 0.45/0.80 (step @p377 :rule ho_cong :premises (@p376 @p345)) % 0.45/0.80 (step @p378 :rule ho_cong :premises (@p377 @p373)) % 0.45/0.80 (step @p379 :rule cong :premises (@p378 @p375) :args ((= (_ @t505 @t5) @t496))) % 0.45/0.80 (step @p380 :rule symm :premises (@p379)) % 0.45/0.80 (step @p381 :rule refl :args (@t11)) % 0.45/0.80 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 0.45/0.80 (step @p383 :rule eq_resolve :premises (@p346 @p348)) % 0.45/0.80 (step @p384 :rule ho_cong :premises (@p376 @p383)) % 0.45/0.80 (step @p385 :rule ho_cong :premises (@p384 @p373)) % 0.45/0.80 (step @p386 :rule trans :premises (@p385 @p382)) % 0.45/0.80 (step @p387 :rule cong :premises (@p386) :args (@t506)) % 0.45/0.80 (step @p388 :rule refl :args (@t497)) % 0.45/0.80 (step @p389 :rule refl :args (@t12)) % 0.45/0.80 (step @p390 :rule cong :premises (@p389 @p388) :args ((= @t12 @t497))) % 0.45/0.80 (step @p391 :rule symm :premises (@p390)) % 0.45/0.80 (step @p392 :rule eq_resolve :premises (@p389 @p391)) % 0.45/0.80 (step @p393 :rule cong :premises (@p392) :args (@t507)) % 0.45/0.80 (step @p394 :rule refl :args (@t498)) % 0.45/0.80 (step @p395 :rule refl :args (@t13)) % 0.45/0.80 (step @p396 :rule cong :premises (@p395 @p394) :args ((= @t13 @t498))) % 0.45/0.80 (step @p397 :rule symm :premises (@p396)) % 0.45/0.80 (step @p398 :rule eq_resolve :premises (@p395 @p397)) % 0.45/0.80 (step @p399 :rule cong :premises (@p398) :args (@t508)) % 0.45/0.80 (step @p400 :rule nary_cong :premises (@p399 @p393 @p387 @p371 @p365) :args (@t509)) % 0.45/0.80 (step @p401 :rule cong :premises (@p400) :args ((forall @t15 @t509))) % 0.45/0.80 (step @p402 :rule aci_norm :args ((= (or @t508 (or @t507 (or @t506 (or @t504 @t503)))) @t509))) % 0.45/0.80 (step @p403 :rule bool-and-de-morgan :args (@t9 @t502 true)) % 0.45/0.80 (step @p404 :rule refl :args (@t506)) % 0.45/0.80 (step @p405 :rule nary_cong :premises (@p404 @p403) :args ((or @t506 (not (and @t9 @t502))))) % 0.45/0.80 (step @p406 :rule bool-and-de-morgan :args (@t11 @t9 (and @t502))) % 0.45/0.80 (step @p407 :rule trans :premises (@p406 @p405)) % 0.45/0.80 (step @p408 :rule refl :args (@t507)) % 0.45/0.80 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t507 (not (and @t11 @t9 @t502))))) % 0.45/0.80 (step @p410 :rule bool-and-de-morgan :args (@t12 @t11 (and @t9 @t502))) % 0.45/0.80 (step @p411 :rule trans :premises (@p410 @p409)) % 0.45/0.80 (step @p412 :rule refl :args (@t508)) % 0.45/0.80 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or @t508 (not (and @t12 @t11 @t9 @t502))))) % 0.45/0.80 (step @p414 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t9 @t502))) % 0.45/0.80 (step @p415 :rule trans :premises (@p414 @p413)) % 0.45/0.80 (step @p416 :rule trans :premises (@p415 @p402)) % 0.45/0.80 (step @p417 :rule cong :premises (@p416) :args (@t511)) % 0.45/0.80 (step @p418 :rule trans :premises (@p417 @p401)) % 0.45/0.80 (step @p419 :rule cong :premises (@p418) :args (@t512)) % 0.45/0.80 (step @p420 :rule exists-elim :args ((= (exists @t15 @t510) @t512))) % 0.45/0.80 (step @p421 :rule trans :premises (@p420 @p419)) % 0.45/0.80 (step @p422 :rule eq-symm :args (@t6 tptp.bot_bot_set_b)) % 0.45/0.80 (step @p423 :rule refl :args (@t9)) % 0.45/0.80 (step @p424 :rule refl :args (@t11)) % 0.45/0.80 (step @p425 :rule refl :args (@t12)) % 0.45/0.80 (step @p426 :rule refl :args (@t13)) % 0.45/0.80 (step @p427 :rule nary_cong :premises (@p426 @p425 @p424 @p423 @p422) :args (@t14)) % 0.45/0.80 (step @p428 :rule cong :premises (@p427) :args (@t16)) % 0.45/0.80 (step @p429 :rule trans :premises (@p428 @p421)) % 0.45/0.80 (step @p430 :rule eq-symm :args (@t1 tptp.a2)) % 0.45/0.80 (step @p431 :rule cong :premises (@p430) :args (@t17)) % 0.45/0.80 (step @p432 :rule cong :premises (@p431 @p429) :args (@t18)) % 0.45/0.80 (step @p433 :rule trans :premises (@p432 @p357)) % 0.45/0.80 (step @p434 :rule eq_resolve :premises (@p2 @p433)) % 0.45/0.80 (step @p435 :rule implies_elim :premises (@p434)) % 0.45/0.80 (step @p436 :rule eq_resolve :premises (@p435 @p356)) % 0.45/0.80 (step @p437 :rule reordering :premises (@p436) :args ((or @t500 @t501))) % 0.45/0.80 (step @p438 :rule chain_m_resolution :premises (@p437 @p353) :args (@t500 @t513 (@list @t501))) % 0.45/0.80 (step @p439 :rule aci_norm :args ((= @t525 @t524))) % 0.45/0.80 (step @p440 :rule cong :premises (@p439) :args (@t526)) % 0.45/0.80 (step @p441 :rule symm :premises (@p440)) % 0.45/0.80 (step @p442 :rule true_intro :premises (@p441)) % 0.45/0.80 (step @p443 :rule eq-symm :args (@t526 @t527)) % 0.45/0.80 (step @p444 :rule trans :premises (@p443 @p442)) % 0.45/0.80 (step @p445 :rule cong :premises (@p441 @p440) :args ((= @t527 @t526))) % 0.45/0.80 (step @p446 :rule trans :premises (@p445 @p444)) % 0.45/0.80 (step @p447 :rule true_elim :premises (@p446)) % 0.45/0.80 (step @p448 :rule alpha_equiv :args (@t499 (@list @t4 @t5) (@list @t476 @t107))) % 0.45/0.80 (step @p449 :rule trans :premises (@p448 @p447)) % 0.45/0.80 (step @p450 :rule equiv_elim2 :premises (@p449)) % 0.45/0.80 (step @p451 :rule chain_m_resolution :premises (@p450 @p438) :args ((not @t526) @t513 (@list @t499))) % 0.45/0.80 (step @p452 :rule aci_norm :args ((= (or false @t526) @t526))) % 0.45/0.80 (step @p453 :rule refl :args (@t526)) % 0.45/0.80 (step @p454 :rule bool-eq-false :args (tptp.thesis)) % 0.45/0.80 (step @p455 :rule symm :premises (@p454)) % 0.45/0.80 (step @p456 :rule eq_resolve :premises (@p334 @p455)) % 0.45/0.80 (step @p457 :rule nary_cong :premises (@p456 @p453) :args ((or tptp.thesis @t526))) % 0.45/0.80 (step @p458 :rule trans :premises (@p457 @p452)) % 0.45/0.80 (step @p459 :rule refl :args (@t514)) % 0.45/0.80 (step @p460 :rule refl :args (@t477)) % 0.45/0.80 (step @p461 :rule cong :premises (@p460 @p459) :args ((= @t477 @t514))) % 0.45/0.80 (step @p462 :rule symm :premises (@p461)) % 0.45/0.80 (step @p463 :rule eq_resolve :premises (@p460 @p462)) % 0.45/0.80 (step @p464 :rule cong :premises (@p363 @p463) :args (@t528)) % 0.45/0.80 (step @p465 :rule cong :premises (@p464) :args (@t529)) % 0.45/0.80 (step @p466 :rule refl :args (@t516)) % 0.45/0.80 (step @p467 :rule refl :args (@t478)) % 0.45/0.80 (step @p468 :rule cong :premises (@p467 @p466) :args ((= @t478 @t516))) % 0.45/0.80 (step @p469 :rule symm :premises (@p468)) % 0.45/0.80 (step @p470 :rule eq_resolve :premises (@p467 @p469)) % 0.45/0.80 (step @p471 :rule cong :premises (@p470) :args (@t530)) % 0.45/0.80 (step @p472 :rule refl :args (@t520)) % 0.45/0.80 (step @p473 :rule refl :args (@t479)) % 0.45/0.80 (step @p474 :rule cong :premises (@p473 @p472) :args ((= @t479 @t520))) % 0.45/0.80 (step @p475 :rule symm :premises (@p474)) % 0.45/0.80 (step @p476 :rule eq_resolve :premises (@p473 @p475)) % 0.45/0.80 (step @p477 :rule cong :premises (@p476) :args (@t531)) % 0.45/0.80 (step @p478 :rule refl :args ((tptp.member_b @t1 @t107))) % 0.45/0.80 (step @p479 :rule refl :args (@t107)) % 0.45/0.80 (step @p480 :rule cong :premises (@p345 @p479) :args (@t518)) % 0.45/0.80 (step @p481 :rule trans :premises (@p480 @p478)) % 0.45/0.80 (step @p482 :rule ho_cong :premises (@p377 @p479)) % 0.45/0.80 (step @p483 :rule cong :premises (@p482 @p481) :args ((= (_ @t505 @t107) @t518))) % 0.45/0.80 (step @p484 :rule symm :premises (@p483)) % 0.45/0.80 (step @p485 :rule refl :args (@t111)) % 0.45/0.80 (step @p486 :rule eq_resolve :premises (@p485 @p484)) % 0.45/0.80 (step @p487 :rule ho_cong :premises (@p384 @p479)) % 0.45/0.80 (step @p488 :rule trans :premises (@p487 @p486)) % 0.45/0.80 (step @p489 :rule cong :premises (@p488) :args (@t532)) % 0.45/0.80 (step @p490 :rule refl :args (@t522)) % 0.45/0.80 (step @p491 :rule refl :args (@t112)) % 0.45/0.80 (step @p492 :rule cong :premises (@p491 @p490) :args ((= @t112 @t522))) % 0.45/0.80 (step @p493 :rule symm :premises (@p492)) % 0.45/0.80 (step @p494 :rule eq_resolve :premises (@p491 @p493)) % 0.45/0.80 (step @p495 :rule cong :premises (@p494) :args (@t533)) % 0.45/0.80 (step @p496 :rule nary_cong :premises (@p495 @p489 @p477 @p471 @p465) :args (@t534)) % 0.45/0.80 (step @p497 :rule cong :premises (@p496) :args (@t535)) % 0.45/0.80 (step @p498 :rule refl :args (tptp.thesis)) % 0.45/0.80 (step @p499 :rule nary_cong :premises (@p498 @p497) :args (@t536)) % 0.45/0.80 (step @p500 :rule quant-miniscope-or :args ((= (forall @t482 @t537) @t536))) % 0.45/0.80 (step @p501 :rule aci_norm :args ((= @t538 @t537))) % 0.45/0.80 (step @p502 :rule cong :premises (@p501) :args ((forall @t482 @t538))) % 0.45/0.80 (step @p503 :rule trans :premises (@p502 @p500)) % 0.45/0.80 (step @p504 :rule trans :premises (@p503 @p499)) % 0.45/0.80 (step @p505 :rule aci_norm :args ((= (or @t539 tptp.thesis) @t538))) % 0.45/0.80 (step @p506 :rule refl :args (tptp.thesis)) % 0.45/0.80 (step @p507 :rule aci_norm :args ((= (or @t533 (or @t531 (or @t532 (or @t530 @t529)))) @t539))) % 0.45/0.80 (step @p508 :rule bool-and-de-morgan :args (@t478 @t528 true)) % 0.45/0.80 (step @p509 :rule refl :args (@t532)) % 0.45/0.80 (step @p510 :rule nary_cong :premises (@p509 @p508) :args ((or @t532 (not (and @t478 @t528))))) % 0.45/0.80 (step @p511 :rule bool-and-de-morgan :args (@t111 @t478 (and @t528))) % 0.45/0.80 (step @p512 :rule trans :premises (@p511 @p510)) % 0.45/0.80 (step @p513 :rule refl :args (@t531)) % 0.45/0.80 (step @p514 :rule nary_cong :premises (@p513 @p512) :args ((or @t531 (not (and @t111 @t478 @t528))))) % 0.45/0.80 (step @p515 :rule bool-and-de-morgan :args (@t479 @t111 (and @t478 @t528))) % 0.45/0.80 (step @p516 :rule trans :premises (@p515 @p514)) % 0.45/0.80 (step @p517 :rule refl :args (@t533)) % 0.45/0.80 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t533 (not (and @t479 @t111 @t478 @t528))))) % 0.45/0.80 (step @p519 :rule bool-and-de-morgan :args (@t112 @t479 (and @t111 @t478 @t528))) % 0.45/0.80 (step @p520 :rule trans :premises (@p519 @p518)) % 0.45/0.80 (step @p521 :rule trans :premises (@p520 @p507)) % 0.45/0.80 (step @p522 :rule nary_cong :premises (@p521 @p506) :args ((or (not @t540) tptp.thesis))) % 0.45/0.80 (step @p523 :rule trans :premises (@p522 @p505)) % 0.45/0.80 (step @p524 :rule bool-impl-elim :args (@t540 tptp.thesis)) % 0.45/0.80 (step @p525 :rule trans :premises (@p524 @p523)) % 0.45/0.80 (step @p526 :rule cong :premises (@p525) :args ((forall @t482 (=> @t540 tptp.thesis)))) % 0.45/0.80 (step @p527 :rule trans :premises (@p526 @p504)) % 0.45/0.80 (step @p528 :rule eq-symm :args (@t477 tptp.bot_bot_set_b)) % 0.45/0.80 (step @p529 :rule refl :args (@t478)) % 0.45/0.80 (step @p530 :rule refl :args (@t111)) % 0.45/0.80 (step @p531 :rule refl :args (@t479)) % 0.45/0.80 (step @p532 :rule refl :args (@t112)) % 0.45/0.80 (step @p533 :rule nary_cong :premises (@p532 @p531 @p530 @p529 @p528) :args (@t480)) % 0.45/0.80 (step @p534 :rule cong :premises (@p533 @p498) :args (@t481)) % 0.45/0.80 (step @p535 :rule cong :premises (@p534) :args (@t483)) % 0.45/0.80 (step @p536 :rule trans :premises (@p535 @p527)) % 0.45/0.80 (step @p537 :rule trans :premises (@p536 @p458)) % 0.45/0.80 (step @p538 :rule eq_resolve :premises (@p333 @p537)) % 0.45/0.80 (step @p539 false :rule chain_m_resolution :premises (@p538 @p451) :args (false @t513 (@list @t526))) % 0.45/0.80 ) % 0.45/0.80 % SZS output end Proof % 0.45/0.80 % cvc5 exiting %------------------------------------------------------------------------------