%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP034^1 : 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 : n025.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 08:24:51 AM UTC 2026 % Result : Theorem 0.44s 0.89s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP034^1 : 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 % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 04:11:16 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.60 %----Proving TH0 % 0.44/0.89 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.89 % SZS status Theorem % 0.44/0.89 % SZS output start Proof % 0.44/0.89 ( % 0.44/0.89 (declare-sort tptp.a 0) % 0.44/0.89 (declare-sort tptp.set_a 0) % 0.44/0.89 (declare-sort tptp.binary1439146945Tree_a 0) % 0.44/0.89 (declare-sort tptp.int 0) % 0.44/0.89 (declare-const tptp.binary945792244etOf_a (-> tptp.binary1439146945Tree_a tptp.set_a)) % 0.44/0.89 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.44/0.89 (declare-const tptp.binary1721989714Tree_a (-> (-> tptp.a tptp.int) tptp.binary1439146945Tree_a Bool)) % 0.44/0.89 (declare-const tptp.sup_sup_o (-> Bool Bool Bool)) % 0.44/0.89 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.44/0.89 (declare-const tptp.sup_sup_int (-> tptp.int tptp.int tptp.int)) % 0.44/0.89 (declare-const tptp.bot_bot_o Bool) % 0.44/0.89 (declare-const tptp.the_elem_a (-> tptp.set_a tptp.a)) % 0.44/0.89 (declare-const tptp.binary1804682569move_a (-> (-> tptp.a tptp.int) tptp.a tptp.binary1439146945Tree_a tptp.binary1439146945Tree_a)) % 0.44/0.89 (declare-const tptp.t2 tptp.binary1439146945Tree_a) % 0.44/0.89 (declare-const tptp.h (-> tptp.a tptp.int)) % 0.44/0.89 (declare-const tptp.binary339557810e_rm_a (-> (-> tptp.a tptp.int) tptp.binary1439146945Tree_a tptp.a)) % 0.44/0.89 (declare-const tptp.l tptp.a) % 0.44/0.89 (declare-const tptp.x tptp.a) % 0.44/0.89 (declare-const tptp.t1 tptp.binary1439146945Tree_a) % 0.44/0.89 (declare-const tptp.binary476621312_Tip_a tptp.binary1439146945Tree_a) % 0.44/0.89 (declare-const tptp.binary1217730267_wrm_a (-> (-> tptp.a tptp.int) tptp.binary1439146945Tree_a tptp.binary1439146945Tree_a)) % 0.44/0.89 (declare-const tptp.binary1226383794sert_a (-> (-> tptp.a tptp.int) tptp.a tptp.binary1439146945Tree_a tptp.binary1439146945Tree_a)) % 0.44/0.89 (declare-const tptp.binary2053421120memb_a (-> (-> tptp.a tptp.int) tptp.a tptp.binary1439146945Tree_a Bool)) % 0.44/0.89 (declare-const tptp.binary717961607le_T_a (-> tptp.binary1439146945Tree_a tptp.a tptp.binary1439146945Tree_a tptp.binary1439146945Tree_a)) % 0.44/0.89 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.44/0.89 (define tptp.binary670562003pred_a () (let ((_let_1 (@var "B" tptp.a))) (let ((_let_2 (@var "A" tptp.a))) (let ((_let_3 (@var "H2" (-> tptp.a tptp.int)))) (let ((_let_4 (@var "T3" tptp.binary1439146945Tree_a))) (let ((_let_5 (_ tptp.binary945792244etOf_a _let_4))) (lambda (@list _let_3 _let_2 _let_1 _let_4) (=> (and (_ (_ tptp.binary1721989714Tree_a _let_3) _let_4) (_ (_ tptp.member_a _let_2) _let_5) (_ (_ tptp.member_a _let_1) _let_5) (= (_ _let_3 _let_2) (_ _let_3 _let_1))) (= _let_2 _let_1))))))))) % 0.44/0.89 (define tptp.sup_sup_a_o () (let ((_let_1 (@var "X4" tptp.a))) (let ((_let_2 (@var "G" (-> tptp.a Bool)))) (let ((_let_3 (@var "F" (-> tptp.a Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.sup_sup_o (_ _let_3 _let_1)) (_ _let_2 _let_1))))))) % 0.44/0.89 (define tptp.ord_less_eq_a_o () (let ((_let_1 (@var "B" (-> tptp.a Bool)))) (let ((_let_2 (@var "A" (-> tptp.a Bool)))) (lambda (@list _let_2 _let_1) (= (_ (_ tptp.sup_sup_a_o _let_2) _let_1) _let_1))))) % 0.44/0.89 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B4" tptp.set_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "A4" tptp.set_a))) (lambda (@list _let_5 _let_1) (_ (_ tptp.ord_less_eq_a_o (lambda _let_4 (_ _let_3 _let_5))) (lambda _let_4 (_ _let_3 _let_1)))))))))) % 0.44/0.89 (define tptp.ord_less_set_a () (let ((_let_1 (@var "A4" tptp.set_a))) (let ((_let_2 (@var "B4" tptp.set_a))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_set_a _let_1) _let_2) (not (_ (_ tptp.ord_less_eq_set_a _let_2) _let_1))))))) % 0.44/0.89 (define tptp.insert_a () (let ((_let_1 (@var "B4" tptp.set_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (@var "A" tptp.a))) (lambda (@list _let_3 _let_1) (_ tptp.collect_a (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member_a _let_2) _let_1))))))))) % 0.44/0.89 (define tptp.sup_sup_set_a () (let ((_let_1 (@var "B4" tptp.set_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A4" tptp.set_a))) (lambda (@list _let_4 _let_1) (_ tptp.collect_a (lambda (@list _let_2) (or (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))) % 0.44/0.89 (define tptp.ord_less_eq_int () (let ((_let_1 (@var "B" tptp.int))) (let ((_let_2 (@var "A" tptp.int))) (lambda (@list _let_2 _let_1) (= (_ (_ tptp.sup_sup_int _let_2) _let_1) _let_1))))) % 0.44/0.89 (define tptp.ord_less_a_o () (let ((_let_1 (@var "B" (-> tptp.a Bool)))) (let ((_let_2 (@var "A" (-> tptp.a Bool)))) (lambda (@list _let_1 _let_2) (and (= _let_2 (_ (_ tptp.sup_sup_a_o _let_2) _let_1)) (not (= _let_2 _let_1))))))) % 0.44/0.89 (define tptp.ord_less_int () (let ((_let_1 (@var "B" tptp.int))) (let ((_let_2 (@var "A" tptp.int))) (lambda (@list _let_1 _let_2) (and (= _let_2 (_ (_ tptp.sup_sup_int _let_2) _let_1)) (not (= _let_2 _let_1))))))) % 0.44/0.89 (define tptp.bot_bot_a_o () (lambda (@list (@var "X4" tptp.a)) tptp.bot_bot_o)) % 0.44/0.89 (define @t1 () (_ tptp.binary339557810e_rm_a tptp.h)) % 0.44/0.89 (define @t2 () (_ @t1 tptp.t2)) % 0.44/0.89 (define @t3 () (_ tptp.h @t2)) % 0.44/0.89 (define @t4 () (_ tptp.h tptp.l)) % 0.44/0.89 (define @t5 () (_ tptp.ord_less_int @t4)) % 0.44/0.89 (define @t6 () (_ (_ tptp.binary717961607le_T_a tptp.t1) tptp.x)) % 0.44/0.89 (define @t7 () (_ @t6 tptp.t2)) % 0.44/0.89 (define @t8 () (_ @t1 @t7)) % 0.44/0.89 (define @t9 () (not (= tptp.t2 tptp.binary476621312_Tip_a))) % 0.44/0.89 (define @t10 () (@var "Y23" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t11 () (@var "X23" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t12 () (@var "Y22" tptp.a)) % 0.44/0.89 (define @t13 () (@var "X22" tptp.a)) % 0.44/0.89 (define @t14 () (@var "Y21" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t15 () (@var "X21" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t16 () (_ (_ (_ tptp.binary717961607le_T_a @t15) @t13) @t11)) % 0.44/0.89 (define @t17 () (_ tptp.binary1721989714Tree_a tptp.h)) % 0.44/0.89 (define @t18 () (_ tptp.binary1217730267_wrm_a tptp.h)) % 0.44/0.89 (define @t19 () (_ @t18 tptp.t2)) % 0.44/0.89 (define @t20 () (_ @t18 @t7)) % 0.44/0.89 (define @t21 () (_ tptp.member_a tptp.l)) % 0.44/0.89 (define @t22 () (_ @t17 tptp.t1)) % 0.44/0.89 (define @t23 () (_ @t17 tptp.t2)) % 0.44/0.89 (define @t24 () (@var "T2" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t25 () (@var "E" tptp.a)) % 0.44/0.89 (define @t26 () (@var "T1" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t27 () (_ tptp.binary717961607le_T_a @t26)) % 0.44/0.89 (define @t28 () (@var "X" tptp.a)) % 0.44/0.89 (define @t29 () (_ @t27 @t28)) % 0.44/0.89 (define @t30 () (_ @t29 @t24)) % 0.44/0.89 (define @t31 () (@var "H" (-> tptp.a tptp.int))) % 0.44/0.89 (define @t32 () (_ tptp.binary1226383794sert_a @t31)) % 0.44/0.89 (define @t33 () (_ @t32 @t25)) % 0.44/0.89 (define @t34 () (_ @t33 @t30)) % 0.44/0.89 (define @t35 () (_ @t31 @t25)) % 0.44/0.89 (define @t36 () (_ @t31 @t28)) % 0.44/0.89 (define @t37 () (_ tptp.ord_less_int @t36)) % 0.44/0.89 (define @t38 () (_ @t37 @t35)) % 0.44/0.89 (define @t39 () (_ (_ tptp.ord_less_int @t35) @t36)) % 0.44/0.89 (define @t40 () (_ tptp.binary339557810e_rm_a @t31)) % 0.44/0.89 (define @t41 () (_ @t40 @t30)) % 0.44/0.89 (define @t42 () (= @t24 tptp.binary476621312_Tip_a)) % 0.44/0.89 (define @t43 () (not @t42)) % 0.44/0.89 (define @t44 () (@list @t24 @t31 @t26 @t28)) % 0.44/0.89 (define @t45 () (@var "X2" tptp.int)) % 0.44/0.89 (define @t46 () (@var "T" tptp.int)) % 0.44/0.89 (define @t47 () (_ (_ tptp.ord_less_int @t46) @t45)) % 0.44/0.89 (define @t48 () (@var "Z" tptp.int)) % 0.44/0.89 (define @t49 () (_ tptp.ord_less_int @t45)) % 0.44/0.89 (define @t50 () (_ @t49 @t48)) % 0.44/0.89 (define @t51 () (@list @t45)) % 0.44/0.89 (define @t52 () (@list @t48)) % 0.44/0.89 (define @t53 () (@list @t46)) % 0.44/0.89 (define @t54 () (_ @t49 @t46)) % 0.44/0.89 (define @t55 () (not (= @t45 @t46))) % 0.44/0.89 (define @t56 () (@var "Q2" (-> tptp.int Bool))) % 0.44/0.89 (define @t57 () (_ @t56 @t45)) % 0.44/0.89 (define @t58 () (@var "P2" (-> tptp.int Bool))) % 0.44/0.89 (define @t59 () (_ @t58 @t45)) % 0.44/0.89 (define @t60 () (@var "Q" (-> tptp.int Bool))) % 0.44/0.89 (define @t61 () (_ @t60 @t45)) % 0.44/0.89 (define @t62 () (@var "P" (-> tptp.int Bool))) % 0.44/0.89 (define @t63 () (_ @t62 @t45)) % 0.44/0.89 (define @t64 () (= (or @t63 @t61) (or @t59 @t57))) % 0.44/0.89 (define @t65 () (@var "X3" tptp.int)) % 0.44/0.89 (define @t66 () (= (_ @t60 @t65) (_ @t56 @t65))) % 0.44/0.89 (define @t67 () (@var "Z2" tptp.int)) % 0.44/0.89 (define @t68 () (_ tptp.ord_less_int @t65)) % 0.44/0.89 (define @t69 () (_ @t68 @t67)) % 0.44/0.89 (define @t70 () (@list @t65)) % 0.44/0.89 (define @t71 () (@list @t67)) % 0.44/0.89 (define @t72 () (exists @t71 (forall @t70 (=> @t69 @t66)))) % 0.44/0.89 (define @t73 () (_ @t62 @t65)) % 0.44/0.89 (define @t74 () (= @t73 (_ @t58 @t65))) % 0.44/0.89 (define @t75 () (exists @t71 (forall @t70 (=> @t69 @t74)))) % 0.44/0.89 (define @t76 () (@list @t62 @t58 @t60 @t56)) % 0.44/0.89 (define @t77 () (_ tptp.binary1721989714Tree_a @t31)) % 0.44/0.89 (define @t78 () (@var "T" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t79 () (_ tptp.binary1217730267_wrm_a @t31)) % 0.44/0.89 (define @t80 () (_ @t79 @t78)) % 0.44/0.89 (define @t81 () (_ @t77 @t78)) % 0.44/0.89 (define @t82 () (and (not (= @t78 tptp.binary476621312_Tip_a)) @t81)) % 0.44/0.89 (define @t83 () (@list @t78 @t31)) % 0.44/0.89 (define @t84 () (@list @t31 @t78 @t28)) % 0.44/0.89 (define @t85 () (_ tptp.binary945792244etOf_a @t78)) % 0.44/0.89 (define @t86 () (@list @t31 @t25)) % 0.44/0.89 (define @t87 () (_ @t79 @t30)) % 0.44/0.89 (define @t88 () (_ @t77 @t24)) % 0.44/0.89 (define @t89 () (@var "X4" tptp.a)) % 0.44/0.89 (define @t90 () (_ @t31 @t89)) % 0.44/0.89 (define @t91 () (_ tptp.binary945792244etOf_a @t24)) % 0.44/0.89 (define @t92 () (_ tptp.member_a @t89)) % 0.44/0.89 (define @t93 () (@list @t89)) % 0.44/0.89 (define @t94 () (_ tptp.binary945792244etOf_a @t26)) % 0.44/0.89 (define @t95 () (_ @t77 @t26)) % 0.44/0.89 (define @t96 () (_ @t77 @t30)) % 0.44/0.89 (define @t97 () (@list @t31 @t26 @t28 @t24)) % 0.44/0.89 (define @t98 () (@var "X232" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t99 () (@var "X222" tptp.a)) % 0.44/0.89 (define @t100 () (@var "X212" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t101 () (@var "Y" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t102 () (@var "Tree" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t103 () (@var "P" (-> tptp.binary1439146945Tree_a Bool))) % 0.44/0.89 (define @t104 () (@var "X32" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t105 () (@var "X24" tptp.a)) % 0.44/0.89 (define @t106 () (@var "X1" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t107 () (= (and @t63 @t61) (and @t59 @t57))) % 0.44/0.89 (define @t108 () (_ (_ tptp.ord_less_int @t48) @t45)) % 0.44/0.89 (define @t109 () (_ (_ tptp.ord_less_int @t67) @t65)) % 0.44/0.89 (define @t110 () (exists @t71 (forall @t70 (=> @t109 @t66)))) % 0.44/0.89 (define @t111 () (exists @t71 (forall @t70 (=> @t109 @t74)))) % 0.44/0.89 (define @t112 () (@var "X2" tptp.a)) % 0.44/0.89 (define @t113 () (_ tptp.ord_less_int (_ tptp.h @t112))) % 0.44/0.89 (define @t114 () (_ tptp.member_a @t112)) % 0.44/0.89 (define @t115 () (@list @t112)) % 0.44/0.89 (define @t116 () (_ tptp.binary945792244etOf_a @t19)) % 0.44/0.89 (define @t117 () (_ tptp.member_a @t28)) % 0.44/0.89 (define @t118 () (@var "A2" tptp.a)) % 0.44/0.89 (define @t119 () (@var "P" (-> tptp.a Bool))) % 0.44/0.89 (define @t120 () (_ @t119 @t118)) % 0.44/0.89 (define @t121 () (_ tptp.collect_a @t119)) % 0.44/0.89 (define @t122 () (_ tptp.member_a @t118)) % 0.44/0.89 (define @t123 () (@list @t118 @t119)) % 0.44/0.89 (define @t124 () (@var "A3" tptp.set_a)) % 0.44/0.89 (define @t125 () (_ @t92 @t124)) % 0.44/0.89 (define @t126 () (@list @t124)) % 0.44/0.89 (define @t127 () (@var "Q" (-> tptp.a Bool))) % 0.44/0.89 (define @t128 () (_ tptp.collect_a @t127)) % 0.44/0.89 (define @t129 () (@var "X3" tptp.a)) % 0.44/0.89 (define @t130 () (_ @t127 @t129)) % 0.44/0.89 (define @t131 () (_ @t119 @t129)) % 0.44/0.89 (define @t132 () (@list @t129)) % 0.44/0.89 (define @t133 () (@list @t119 @t127)) % 0.44/0.89 (define @t134 () (@var "X" tptp.int)) % 0.44/0.89 (define @t135 () (@var "Y" tptp.int)) % 0.44/0.89 (define @t136 () (_ tptp.ord_less_int @t134)) % 0.44/0.89 (define @t137 () (@list @t134 @t135)) % 0.44/0.89 (define @t138 () (@var "C" tptp.int)) % 0.44/0.89 (define @t139 () (@var "D" tptp.int)) % 0.44/0.89 (define @t140 () (@var "A2" tptp.int)) % 0.44/0.89 (define @t141 () (_ tptp.ord_less_eq_int @t140)) % 0.44/0.89 (define @t142 () (@var "B2" tptp.int)) % 0.44/0.89 (define @t143 () (_ tptp.insert_a @t28)) % 0.44/0.89 (define @t144 () (_ @t143 tptp.bot_bot_set_a)) % 0.44/0.89 (define @t145 () (_ (_ tptp.ord_less_eq_int @t46) @t45)) % 0.44/0.89 (define @t146 () (_ (_ tptp.ord_less_eq_int @t45) @t46)) % 0.44/0.89 (define @t147 () (@var "B2" tptp.a)) % 0.44/0.89 (define @t148 () (_ tptp.insert_a @t147)) % 0.44/0.89 (define @t149 () (_ @t148 tptp.bot_bot_set_a)) % 0.44/0.89 (define @t150 () (_ tptp.ord_less_eq_set_a @t124)) % 0.44/0.89 (define @t151 () (= @t118 @t147)) % 0.44/0.89 (define @t152 () (and @t151 (_ @t150 @t149))) % 0.44/0.89 (define @t153 () (_ tptp.insert_a @t118)) % 0.44/0.89 (define @t154 () (_ @t153 @t124)) % 0.44/0.89 (define @t155 () (_ @t153 tptp.bot_bot_set_a)) % 0.44/0.89 (define @t156 () (@var "Z3" tptp.a)) % 0.44/0.89 (define @t157 () (@var "Y2" tptp.a)) % 0.44/0.89 (define @t158 () (@list @t118)) % 0.44/0.89 (define @t159 () (= @t89 @t118)) % 0.44/0.89 (define @t160 () (@var "B3" tptp.set_a)) % 0.44/0.89 (define @t161 () (_ tptp.sup_sup_set_a @t124)) % 0.44/0.89 (define @t162 () (_ @t161 @t160)) % 0.44/0.89 (define @t163 () (_ @t153 @t160)) % 0.44/0.89 (define @t164 () (@var "C2" tptp.set_a)) % 0.44/0.89 (define @t165 () (_ tptp.sup_sup_set_a @t160)) % 0.44/0.89 (define @t166 () (_ @t165 @t164)) % 0.44/0.89 (define @t167 () (_ tptp.ord_less_eq_set_a @t160)) % 0.44/0.89 (define @t168 () (_ @t167 @t164)) % 0.44/0.89 (define @t169 () (_ @t150 @t164)) % 0.44/0.89 (define @t170 () (_ tptp.ord_less_eq_set_a @t162)) % 0.44/0.89 (define @t171 () (_ @t170 @t164)) % 0.44/0.89 (define @t172 () (@list @t124 @t160 @t164)) % 0.44/0.89 (define @t173 () (= @t160 tptp.bot_bot_set_a)) % 0.44/0.89 (define @t174 () (= @t124 tptp.bot_bot_set_a)) % 0.44/0.89 (define @t175 () (@list @t124 @t160)) % 0.44/0.89 (define @t176 () (@var "C3" tptp.a)) % 0.44/0.89 (define @t177 () (_ tptp.member_a @t176)) % 0.44/0.89 (define @t178 () (_ @t119 @t89)) % 0.44/0.89 (define @t179 () (forall @t93 (not @t178))) % 0.44/0.89 (define @t180 () (@list @t119)) % 0.44/0.89 (define @t181 () (_ @t150 @t160)) % 0.44/0.89 (define @t182 () (_ tptp.member_a @t129)) % 0.44/0.89 (define @t183 () (= @t124 @t160)) % 0.44/0.89 (define @t184 () (_ @t167 @t124)) % 0.44/0.89 (define @t185 () (_ tptp.ord_less_set_a @t124)) % 0.44/0.89 (define @t186 () (_ @t185 @t160)) % 0.44/0.89 (define @t187 () (_ @t148 @t160)) % 0.44/0.89 (define @t188 () (_ @t122 @t187)) % 0.44/0.89 (define @t189 () (_ @t122 @t160)) % 0.44/0.89 (define @t190 () (@list @t118 @t160 @t147)) % 0.44/0.89 (define @t191 () (_ @t122 @t124)) % 0.44/0.89 (define @t192 () (_ @t122 (_ @t148 @t124))) % 0.44/0.89 (define @t193 () (@list @t118 @t147 @t124)) % 0.44/0.89 (define @t194 () (_ @t143 @t124)) % 0.44/0.89 (define @t195 () (@list @t28 @t124)) % 0.44/0.89 (define @t196 () (_ @t177 @t162)) % 0.44/0.89 (define @t197 () (_ @t177 @t124)) % 0.44/0.89 (define @t198 () (_ @t177 @t160)) % 0.44/0.89 (define @t199 () (@list @t176 @t160 @t124)) % 0.44/0.89 (define @t200 () (@list @t176 @t124 @t160)) % 0.44/0.89 (define @t201 () (_ @t117 @t160)) % 0.44/0.89 (define @t202 () (@list @t28 @t124 @t160)) % 0.44/0.89 (define @t203 () (not @t191)) % 0.44/0.89 (define @t204 () (@var "Y3" tptp.a)) % 0.44/0.89 (define @t205 () (_ @t117 @t124)) % 0.44/0.89 (define @t206 () (@list @t124 @t160 @t28)) % 0.44/0.89 (define @t207 () (=> @t197 @t198)) % 0.44/0.89 (define @t208 () (@list @t124 @t160 @t176)) % 0.44/0.89 (define @t209 () (@var "B4" tptp.set_a)) % 0.44/0.89 (define @t210 () (_ @t92 @t209)) % 0.44/0.89 (define @t211 () (@var "A4" tptp.set_a)) % 0.44/0.89 (define @t212 () (_ @t92 @t211)) % 0.44/0.89 (define @t213 () (@list @t211 @t209)) % 0.44/0.89 (define @t214 () (@var "T3" tptp.a)) % 0.44/0.89 (define @t215 () (_ tptp.member_a @t214)) % 0.44/0.89 (define @t216 () (_ (_ tptp.ord_less_eq_set_a @t121) @t128)) % 0.44/0.89 (define @t217 () (forall @t132 (=> @t131 @t130))) % 0.44/0.89 (define @t218 () (_ (_ tptp.ord_less_eq_set_a @t209) @t211)) % 0.44/0.89 (define @t219 () (_ (_ tptp.ord_less_eq_set_a @t211) @t209)) % 0.44/0.89 (define @t220 () (@var "Z3" tptp.set_a)) % 0.44/0.89 (define @t221 () (@var "Y2" tptp.set_a)) % 0.44/0.89 (define @t222 () (_ @t127 @t89)) % 0.44/0.89 (define @t223 () (= @t211 @t209)) % 0.44/0.89 (define @t224 () (_ @t185 @t164)) % 0.44/0.89 (define @t225 () (=> (_ (_ tptp.ord_less_set_a @t160) @t164) @t224)) % 0.44/0.89 (define @t226 () (not @t151)) % 0.44/0.89 (define @t227 () (@var "B5" tptp.set_a)) % 0.44/0.89 (define @t228 () (@list @t227)) % 0.44/0.89 (define @t229 () (_ @t143 @t160)) % 0.44/0.89 (define @t230 () (not @t205)) % 0.44/0.89 (define @t231 () (@list @t118 @t124)) % 0.44/0.89 (define @t232 () (@var "C4" tptp.set_a)) % 0.44/0.89 (define @t233 () (_ tptp.member_a @t147)) % 0.44/0.89 (define @t234 () (@var "Y" tptp.a)) % 0.44/0.89 (define @t235 () (_ tptp.insert_a @t234)) % 0.44/0.89 (define @t236 () (_ @t92 @t160)) % 0.44/0.89 (define @t237 () (and @t125 @t178)) % 0.44/0.89 (define @t238 () (_ @t92 @t162)) % 0.44/0.89 (define @t239 () (@list @t124 @t160 @t119)) % 0.44/0.89 (define @t240 () (_ @t161 @t166)) % 0.44/0.89 (define @t241 () (@var "U" tptp.a)) % 0.44/0.89 (define @t242 () (= @t147 @t118)) % 0.44/0.89 (define @t243 () (_ @t233 @t155)) % 0.44/0.89 (define @t244 () (@list @t147 @t118)) % 0.44/0.89 (define @t245 () (@var "D2" tptp.a)) % 0.44/0.89 (define @t246 () (@var "D3" tptp.set_a)) % 0.44/0.89 (define @t247 () (_ tptp.ord_less_eq_set_a @t164)) % 0.44/0.89 (define @t248 () (_ tptp.sup_sup_set_a tptp.bot_bot_set_a)) % 0.44/0.89 (define @t249 () (@list @t160 @t124)) % 0.44/0.89 (define @t250 () (@var "B6" tptp.set_a)) % 0.44/0.89 (define @t251 () (@var "A5" tptp.set_a)) % 0.44/0.89 (define @t252 () (_ tptp.collect_a (lambda @t93 (and @t159 @t178)))) % 0.44/0.89 (define @t253 () (not @t120)) % 0.44/0.89 (define @t254 () (@list @t119 @t118)) % 0.44/0.89 (define @t255 () (_ tptp.collect_a (lambda @t93 (and (= @t118 @t89) @t178)))) % 0.44/0.89 (define @t256 () (@var "__flatten_var_0" tptp.set_a)) % 0.44/0.89 (define @t257 () (@var "A" tptp.a)) % 0.44/0.89 (define @t258 () (= @t89 @t257)) % 0.44/0.89 (define @t259 () (@list @t257 @t256)) % 0.44/0.89 (define @t260 () (= @t124 @t144)) % 0.44/0.89 (define @t261 () (@var "X5" tptp.set_a)) % 0.44/0.89 (define @t262 () (= @t160 @t144)) % 0.44/0.89 (define @t263 () (or (and @t174 @t262) (and @t260 @t173) (and @t260 @t262))) % 0.44/0.89 (define @t264 () (@var "X" (-> tptp.a Bool))) % 0.44/0.89 (define @t265 () (_ tptp.sup_sup_a_o tptp.bot_bot_a_o)) % 0.44/0.89 (define @t266 () (@list @t264)) % 0.44/0.89 (define @t267 () (@var "X" tptp.set_a)) % 0.44/0.89 (define @t268 () (@list @t267)) % 0.44/0.89 (define @t269 () (_ tptp.sup_sup_a_o @t264)) % 0.44/0.89 (define @t270 () (_ tptp.sup_sup_set_a @t267)) % 0.44/0.89 (define @t271 () (@var "Y" (-> tptp.a Bool))) % 0.44/0.89 (define @t272 () (and (= @t264 tptp.bot_bot_a_o) (= @t271 tptp.bot_bot_a_o))) % 0.44/0.89 (define @t273 () (_ @t269 @t271)) % 0.44/0.89 (define @t274 () (@list @t264 @t271)) % 0.44/0.89 (define @t275 () (@var "Y" tptp.set_a)) % 0.44/0.89 (define @t276 () (and (= @t267 tptp.bot_bot_set_a) (= @t275 tptp.bot_bot_set_a))) % 0.44/0.89 (define @t277 () (_ @t270 @t275)) % 0.44/0.89 (define @t278 () (@list @t267 @t275)) % 0.44/0.89 (define @t279 () (@var "B2" (-> tptp.a Bool))) % 0.44/0.89 (define @t280 () (@var "A2" (-> tptp.a Bool))) % 0.44/0.89 (define @t281 () (and (= @t280 tptp.bot_bot_a_o) (= @t279 tptp.bot_bot_a_o))) % 0.44/0.89 (define @t282 () (_ tptp.sup_sup_a_o @t280)) % 0.44/0.89 (define @t283 () (_ @t282 @t279)) % 0.44/0.89 (define @t284 () (@list @t280 @t279)) % 0.44/0.89 (define @t285 () (@var "B2" tptp.set_a)) % 0.44/0.89 (define @t286 () (@var "A2" tptp.set_a)) % 0.44/0.89 (define @t287 () (and (= @t286 tptp.bot_bot_set_a) (= @t285 tptp.bot_bot_set_a))) % 0.44/0.89 (define @t288 () (_ tptp.sup_sup_set_a @t286)) % 0.44/0.89 (define @t289 () (_ @t288 @t285)) % 0.44/0.89 (define @t290 () (@list @t286 @t285)) % 0.44/0.89 (define @t291 () (@list @t280)) % 0.44/0.89 (define @t292 () (@list @t286)) % 0.44/0.89 (define @t293 () (_ tptp.sup_sup_a_o @t283)) % 0.44/0.89 (define @t294 () (_ tptp.sup_sup_int @t140)) % 0.44/0.89 (define @t295 () (_ @t294 @t142)) % 0.44/0.89 (define @t296 () (_ tptp.sup_sup_int @t295)) % 0.44/0.89 (define @t297 () (@list @t140 @t142)) % 0.44/0.89 (define @t298 () (_ tptp.sup_sup_set_a @t289)) % 0.44/0.89 (define @t299 () (_ tptp.sup_sup_int @t134)) % 0.44/0.89 (define @t300 () (_ @t299 @t135)) % 0.44/0.89 (define @t301 () (@list @t134)) % 0.44/0.89 (define @t302 () (@var "C3" tptp.int)) % 0.44/0.89 (define @t303 () (_ tptp.ord_less_eq_int @t302)) % 0.44/0.89 (define @t304 () (_ @t303 @t140)) % 0.44/0.89 (define @t305 () (_ tptp.ord_less_eq_int @t142)) % 0.44/0.89 (define @t306 () (_ @t305 @t140)) % 0.44/0.89 (define @t307 () (_ tptp.sup_sup_int @t142)) % 0.44/0.89 (define @t308 () (_ @t307 @t302)) % 0.44/0.89 (define @t309 () (_ (_ tptp.ord_less_eq_int @t308) @t140)) % 0.44/0.89 (define @t310 () (@list @t142 @t302 @t140)) % 0.44/0.89 (define @t311 () (@var "C3" (-> tptp.a Bool))) % 0.44/0.89 (define @t312 () (_ tptp.ord_less_eq_a_o @t311)) % 0.44/0.89 (define @t313 () (_ @t312 @t280)) % 0.44/0.89 (define @t314 () (_ tptp.ord_less_eq_a_o @t279)) % 0.44/0.89 (define @t315 () (_ @t314 @t280)) % 0.44/0.89 (define @t316 () (_ tptp.sup_sup_a_o @t279)) % 0.44/0.89 (define @t317 () (_ @t316 @t311)) % 0.44/0.89 (define @t318 () (_ (_ tptp.ord_less_eq_a_o @t317) @t280)) % 0.44/0.89 (define @t319 () (@list @t279 @t311 @t280)) % 0.44/0.89 (define @t320 () (@var "C3" tptp.set_a)) % 0.44/0.89 (define @t321 () (_ tptp.ord_less_eq_set_a @t320)) % 0.44/0.89 (define @t322 () (_ @t321 @t286)) % 0.44/0.89 (define @t323 () (_ tptp.ord_less_eq_set_a @t285)) % 0.44/0.89 (define @t324 () (_ @t323 @t286)) % 0.44/0.89 (define @t325 () (_ tptp.sup_sup_set_a @t285)) % 0.44/0.89 (define @t326 () (_ @t325 @t320)) % 0.44/0.89 (define @t327 () (_ (_ tptp.ord_less_eq_set_a @t326) @t286)) % 0.44/0.89 (define @t328 () (@list @t285 @t320 @t286)) % 0.44/0.89 (define @t329 () (@var "Z4" tptp.int)) % 0.44/0.89 (define @t330 () (_ tptp.ord_less_eq_int @t135)) % 0.44/0.89 (define @t331 () (_ tptp.ord_less_eq_int @t134)) % 0.44/0.89 (define @t332 () (@list @t134 @t135 @t329)) % 0.44/0.89 (define @t333 () (@var "Z4" (-> tptp.a Bool))) % 0.44/0.89 (define @t334 () (_ tptp.ord_less_eq_a_o @t271)) % 0.44/0.89 (define @t335 () (_ tptp.ord_less_eq_a_o @t264)) % 0.44/0.89 (define @t336 () (@list @t264 @t271 @t333)) % 0.44/0.89 (define @t337 () (@var "Z4" tptp.set_a)) % 0.44/0.89 (define @t338 () (_ tptp.ord_less_eq_set_a @t275)) % 0.44/0.89 (define @t339 () (_ tptp.ord_less_eq_set_a @t267)) % 0.44/0.89 (define @t340 () (@list @t267 @t275 @t337)) % 0.44/0.89 (define @t341 () (lambda @t93 @t210)) % 0.44/0.89 (define @t342 () (lambda @t93 @t212)) % 0.44/0.89 (define @t343 () (_ tptp.sup_sup_a_o @t271)) % 0.44/0.89 (define @t344 () (_ @t343 @t333)) % 0.44/0.89 (define @t345 () (_ @t269 @t344)) % 0.44/0.89 (define @t346 () (_ tptp.sup_sup_int @t135)) % 0.44/0.89 (define @t347 () (_ @t346 @t329)) % 0.44/0.89 (define @t348 () (_ @t299 @t347)) % 0.44/0.89 (define @t349 () (_ tptp.sup_sup_set_a @t275)) % 0.44/0.89 (define @t350 () (_ @t349 @t337)) % 0.44/0.89 (define @t351 () (_ @t270 @t350)) % 0.44/0.89 (define @t352 () (_ @t282 @t317)) % 0.44/0.89 (define @t353 () (@list @t279 @t280 @t311)) % 0.44/0.89 (define @t354 () (_ @t294 @t308)) % 0.44/0.89 (define @t355 () (@list @t142 @t140 @t302)) % 0.44/0.89 (define @t356 () (_ @t288 @t326)) % 0.44/0.89 (define @t357 () (@list @t285 @t286 @t320)) % 0.44/0.89 (define @t358 () (@var "__flatten_var_0" tptp.a)) % 0.44/0.89 (define @t359 () (@var "X4" (-> tptp.a Bool))) % 0.44/0.89 (define @t360 () (@var "Y4" (-> tptp.a Bool))) % 0.44/0.89 (define @t361 () (@var "X4" tptp.int)) % 0.44/0.89 (define @t362 () (@var "Y4" tptp.int)) % 0.44/0.89 (define @t363 () (@list @t361 @t362)) % 0.44/0.89 (define @t364 () (@var "X4" tptp.set_a)) % 0.44/0.89 (define @t365 () (@var "Y4" tptp.set_a)) % 0.44/0.89 (define @t366 () (@list @t364 @t365)) % 0.44/0.89 (define @t367 () (@var "A" (-> tptp.a Bool))) % 0.44/0.89 (define @t368 () (@var "B" (-> tptp.a Bool))) % 0.44/0.89 (define @t369 () (@var "A" tptp.int)) % 0.44/0.89 (define @t370 () (@var "B" tptp.int)) % 0.44/0.89 (define @t371 () (@list @t369 @t370)) % 0.44/0.89 (define @t372 () (@var "A" tptp.set_a)) % 0.44/0.89 (define @t373 () (@var "B" tptp.set_a)) % 0.44/0.89 (define @t374 () (@list @t372 @t373)) % 0.44/0.89 (define @t375 () (@var "K" (-> tptp.a Bool))) % 0.44/0.89 (define @t376 () (_ tptp.sup_sup_a_o @t375)) % 0.44/0.89 (define @t377 () (_ @t376 @t283)) % 0.44/0.89 (define @t378 () (@var "B3" (-> tptp.a Bool))) % 0.44/0.89 (define @t379 () (@var "K" tptp.int)) % 0.44/0.89 (define @t380 () (_ tptp.sup_sup_int @t379)) % 0.44/0.89 (define @t381 () (_ @t380 @t295)) % 0.44/0.89 (define @t382 () (@var "B3" tptp.int)) % 0.44/0.89 (define @t383 () (@var "K" tptp.set_a)) % 0.44/0.89 (define @t384 () (_ tptp.sup_sup_set_a @t383)) % 0.44/0.89 (define @t385 () (_ @t384 @t289)) % 0.44/0.89 (define @t386 () (@var "A3" (-> tptp.a Bool))) % 0.44/0.89 (define @t387 () (_ tptp.sup_sup_a_o @t386)) % 0.44/0.89 (define @t388 () (@var "A3" tptp.int)) % 0.44/0.89 (define @t389 () (_ @t303 @t295)) % 0.44/0.89 (define @t390 () (@list @t302 @t142 @t140)) % 0.44/0.89 (define @t391 () (_ @t312 @t283)) % 0.44/0.89 (define @t392 () (@list @t311 @t279 @t280)) % 0.44/0.89 (define @t393 () (_ @t321 @t289)) % 0.44/0.89 (define @t394 () (@list @t320 @t285 @t286)) % 0.44/0.89 (define @t395 () (@list @t302 @t140 @t142)) % 0.44/0.89 (define @t396 () (@list @t311 @t280 @t279)) % 0.44/0.89 (define @t397 () (@list @t320 @t286 @t285)) % 0.44/0.89 (define @t398 () (_ (_ tptp.sup_sup_set_a @t372) @t373)) % 0.44/0.89 (define @t399 () (_ tptp.sup_sup_int @t369)) % 0.44/0.89 (define @t400 () (_ @t399 @t370)) % 0.44/0.89 (define @t401 () (@list @t370 @t369)) % 0.44/0.89 (define @t402 () (_ (_ tptp.sup_sup_a_o @t367) @t368)) % 0.44/0.89 (define @t403 () (@list @t368 @t367)) % 0.44/0.89 (define @t404 () (@list @t373 @t372)) % 0.44/0.89 (define @t405 () (@list @t142 @t140)) % 0.44/0.89 (define @t406 () (@list @t279 @t280)) % 0.44/0.89 (define @t407 () (@list @t285 @t286)) % 0.44/0.89 (define @t408 () (_ tptp.ord_less_eq_a_o @t280)) % 0.44/0.89 (define @t409 () (_ tptp.ord_less_eq_set_a @t286)) % 0.44/0.89 (define @t410 () (= @t369 @t400)) % 0.44/0.89 (define @t411 () (= @t367 @t402)) % 0.44/0.89 (define @t412 () (= @t372 @t398)) % 0.44/0.89 (define @t413 () (_ @t330 @t134)) % 0.44/0.89 (define @t414 () (@list @t135 @t134)) % 0.44/0.89 (define @t415 () (_ @t334 @t264)) % 0.44/0.89 (define @t416 () (@list @t271 @t264)) % 0.44/0.89 (define @t417 () (_ @t338 @t267)) % 0.44/0.89 (define @t418 () (@list @t275 @t267)) % 0.44/0.89 (define @t419 () (@var "F2" (-> tptp.int tptp.int tptp.int))) % 0.44/0.89 (define @t420 () (@var "Y3" tptp.int)) % 0.44/0.89 (define @t421 () (_ tptp.ord_less_eq_int @t420)) % 0.44/0.89 (define @t422 () (_ (_ @t419 @t65) @t420)) % 0.44/0.89 (define @t423 () (@list @t65 @t420)) % 0.44/0.89 (define @t424 () (_ tptp.ord_less_eq_int @t65)) % 0.44/0.89 (define @t425 () (@var "F2" (-> (-> tptp.a Bool) (-> tptp.a Bool) tptp.a Bool))) % 0.44/0.89 (define @t426 () (@var "X3" (-> tptp.a Bool))) % 0.44/0.89 (define @t427 () (@var "Z" (-> tptp.a Bool))) % 0.44/0.89 (define @t428 () (@var "Y3" (-> tptp.a Bool))) % 0.44/0.89 (define @t429 () (_ tptp.ord_less_eq_a_o @t428)) % 0.44/0.89 (define @t430 () (_ (_ @t425 @t426) @t428)) % 0.44/0.89 (define @t431 () (@list @t426 @t428)) % 0.44/0.89 (define @t432 () (_ tptp.ord_less_eq_a_o @t426)) % 0.44/0.89 (define @t433 () (@var "F2" (-> tptp.set_a tptp.set_a tptp.set_a))) % 0.44/0.89 (define @t434 () (@var "X3" tptp.set_a)) % 0.44/0.89 (define @t435 () (@var "Z" tptp.set_a)) % 0.44/0.89 (define @t436 () (@var "Y3" tptp.set_a)) % 0.44/0.89 (define @t437 () (_ tptp.ord_less_eq_set_a @t436)) % 0.44/0.89 (define @t438 () (_ (_ @t433 @t434) @t436)) % 0.44/0.89 (define @t439 () (@list @t434 @t436)) % 0.44/0.89 (define @t440 () (_ tptp.ord_less_eq_set_a @t434)) % 0.44/0.89 (define @t441 () (= @t140 @t295)) % 0.44/0.89 (define @t442 () (= @t280 @t283)) % 0.44/0.89 (define @t443 () (= @t286 @t289)) % 0.44/0.89 (define @t444 () (@var "D2" tptp.int)) % 0.44/0.89 (define @t445 () (_ (_ tptp.sup_sup_int @t302) @t444)) % 0.44/0.89 (define @t446 () (_ tptp.ord_less_eq_int @t295)) % 0.44/0.89 (define @t447 () (@var "D2" (-> tptp.a Bool))) % 0.44/0.89 (define @t448 () (_ (_ tptp.sup_sup_a_o @t311) @t447)) % 0.44/0.89 (define @t449 () (_ tptp.ord_less_eq_a_o @t283)) % 0.44/0.89 (define @t450 () (@var "D2" tptp.set_a)) % 0.44/0.89 (define @t451 () (_ (_ tptp.sup_sup_set_a @t320) @t450)) % 0.44/0.89 (define @t452 () (_ tptp.ord_less_eq_set_a @t289)) % 0.44/0.89 (define @t453 () (_ @t331 @t295)) % 0.44/0.89 (define @t454 () (@list @t134 @t142 @t140)) % 0.44/0.89 (define @t455 () (_ @t335 @t283)) % 0.44/0.89 (define @t456 () (@list @t264 @t279 @t280)) % 0.44/0.89 (define @t457 () (_ @t339 @t289)) % 0.44/0.89 (define @t458 () (@list @t267 @t285 @t286)) % 0.44/0.89 (define @t459 () (@list @t134 @t140 @t142)) % 0.44/0.89 (define @t460 () (@list @t264 @t280 @t279)) % 0.44/0.89 (define @t461 () (@list @t267 @t286 @t285)) % 0.44/0.89 (define @t462 () (_ @t446 @t134)) % 0.44/0.89 (define @t463 () (_ @t305 @t134)) % 0.44/0.89 (define @t464 () (_ @t141 @t134)) % 0.44/0.89 (define @t465 () (_ @t449 @t264)) % 0.44/0.89 (define @t466 () (_ @t314 @t264)) % 0.44/0.89 (define @t467 () (_ @t408 @t264)) % 0.44/0.89 (define @t468 () (_ @t452 @t267)) % 0.44/0.89 (define @t469 () (_ @t323 @t267)) % 0.44/0.89 (define @t470 () (_ @t409 @t267)) % 0.44/0.89 (define @t471 () (_ tptp.ord_less_a_o @t264)) % 0.44/0.89 (define @t472 () (_ @t471 @t283)) % 0.44/0.89 (define @t473 () (_ tptp.ord_less_set_a @t267)) % 0.44/0.89 (define @t474 () (_ @t473 @t289)) % 0.44/0.89 (define @t475 () (_ @t136 @t295)) % 0.44/0.89 (define @t476 () (_ tptp.ord_less_a_o @t311)) % 0.44/0.89 (define @t477 () (_ @t476 @t280)) % 0.44/0.89 (define @t478 () (_ tptp.ord_less_set_a @t320)) % 0.44/0.89 (define @t479 () (_ @t478 @t286)) % 0.44/0.89 (define @t480 () (_ tptp.ord_less_int @t302)) % 0.44/0.89 (define @t481 () (_ @t480 @t140)) % 0.44/0.89 (define @t482 () (_ @t476 @t283)) % 0.44/0.89 (define @t483 () (_ @t478 @t289)) % 0.44/0.89 (define @t484 () (_ @t480 @t295)) % 0.44/0.89 (define @t485 () (@var "S" tptp.set_a)) % 0.44/0.89 (define @t486 () (@var "R" tptp.set_a)) % 0.44/0.89 (define @t487 () (_ (_ @t387 @t378) @t28)) % 0.44/0.89 (define @t488 () (_ @t386 @t28)) % 0.44/0.89 (define @t489 () (_ @t378 @t28)) % 0.44/0.89 (define @t490 () (@list @t378 @t28 @t386)) % 0.44/0.89 (define @t491 () (@var "F2" (-> (-> tptp.a Bool) tptp.int))) % 0.44/0.89 (define @t492 () (_ @t432 @t428)) % 0.44/0.89 (define @t493 () (_ @t314 @t311)) % 0.44/0.89 (define @t494 () (@var "F2" (-> tptp.set_a tptp.a Bool))) % 0.44/0.89 (define @t495 () (@var "F2" (-> tptp.int tptp.a Bool))) % 0.44/0.89 (define @t496 () (@var "F2" (-> (-> tptp.a Bool) tptp.a Bool))) % 0.44/0.89 (define @t497 () (_ tptp.h @t8)) % 0.44/0.89 (define @t498 () (not (_ @t5 @t497))) % 0.44/0.89 (define @t499 () (@var "B" tptp.a)) % 0.44/0.89 (define @t500 () (@var "H2" (-> tptp.a tptp.int))) % 0.44/0.89 (define @t501 () (@var "T3" tptp.binary1439146945Tree_a)) % 0.44/0.89 (define @t502 () (_ tptp.binary945792244etOf_a @t501)) % 0.44/0.89 (define @t503 () (lambda (@list @t500 @t257 @t499 @t501) (=> (and (_ (_ tptp.binary1721989714Tree_a @t500) @t501) (_ (_ tptp.member_a @t257) @t502) (_ (_ tptp.member_a @t499) @t502) (= (_ @t500 @t257) (_ @t500 @t499))) (= @t257 @t499)))) % 0.44/0.89 (define @t504 () (lambda @t213 (_ (_ tptp.ord_less_eq_a_o @t342) @t341))) % 0.44/0.89 (define @t505 () (lambda @t213 (and @t219 (not @t218)))) % 0.44/0.89 (define @t506 () (lambda (@list @t257 @t209) (_ tptp.collect_a (lambda @t93 (or @t258 @t210))))) % 0.44/0.89 (define @t507 () (lambda @t213 (_ tptp.collect_a (lambda @t93 (or @t212 @t210))))) % 0.44/0.89 (define @t508 () (@var "G" (-> tptp.a Bool))) % 0.44/0.89 (define @t509 () (@var "F" (-> tptp.a Bool))) % 0.44/0.89 (define @t510 () (lambda (@list @t509 @t508 @t89) (_ (_ tptp.sup_sup_o (_ @t509 @t89)) (_ @t508 @t89)))) % 0.44/0.89 (define @t511 () (lambda @t371 (= @t400 @t370))) % 0.44/0.89 (define @t512 () (lambda (@list @t367 @t368) (= @t402 @t368))) % 0.44/0.89 (define @t513 () (lambda @t403 (and @t411 (not (= @t367 @t368))))) % 0.44/0.89 (define @t514 () (lambda @t401 (and @t410 (not (= @t369 @t370))))) % 0.44/0.89 (define @t515 () (lambda @t93 tptp.bot_bot_o)) % 0.44/0.89 (define @t516 () (tptp.h tptp.l)) % 0.44/0.89 (define @t517 () (tptp.binary339557810e_rm_a tptp.h tptp.t2)) % 0.44/0.89 (define @t518 () (tptp.h @t517)) % 0.44/0.89 (define @t519 () (= @t4 @t3)) % 0.44/0.89 (define @t520 () (not @t519)) % 0.44/0.89 (define @t521 () (tptp.sup_sup_int @t518 @t516)) % 0.44/0.89 (define @t522 () (_ (_ tptp.sup_sup_int @t3) @t4)) % 0.44/0.89 (define @t523 () (= @t3 @t522)) % 0.44/0.89 (define @t524 () (and @t523 @t520)) % 0.44/0.89 (define @t525 () (= @t369 (_ @t399 @t4))) % 0.44/0.89 (define @t526 () (@list @t369)) % 0.44/0.89 (define @t527 () (lambda @t526 (and @t525 (not (= @t4 @t369))))) % 0.44/0.89 (define @t528 () (not (= @t369 @t4))) % 0.44/0.89 (define @t529 () (and @t525 @t528)) % 0.44/0.89 (define @t530 () (lambda @t526 @t529)) % 0.44/0.89 (define @t531 () (_ @t514 @t4)) % 0.44/0.89 (define @t532 () (tptp.binary717961607le_T_a tptp.t1 tptp.x tptp.t2)) % 0.44/0.89 (define @t533 () (tptp.binary339557810e_rm_a tptp.h @t532)) % 0.44/0.89 (define @t534 () (tptp.h @t533)) % 0.44/0.89 (define @t535 () (= @t516 @t534)) % 0.44/0.89 (define @t536 () (tptp.sup_sup_int @t534 @t516)) % 0.44/0.89 (define @t537 () (= @t534 @t536)) % 0.44/0.89 (define @t538 () (not @t537)) % 0.44/0.89 (define @t539 () (not @t535)) % 0.44/0.89 (define @t540 () (= @t4 @t497)) % 0.44/0.89 (define @t541 () (not @t540)) % 0.44/0.89 (define @t542 () (_ (_ tptp.sup_sup_int @t497) @t4)) % 0.44/0.89 (define @t543 () (= @t497 @t542)) % 0.44/0.89 (define @t544 () (and @t543 @t541)) % 0.44/0.89 (define @t545 () (= @t517 @t533)) % 0.44/0.89 (define @t546 () (= @t518 @t516)) % 0.44/0.89 (define @t547 () (and @t545 @t535)) % 0.44/0.89 (assume @p1 (_ @t5 @t3)) % 0.44/0.89 (assume @p2 (= @t8 @t2)) % 0.44/0.89 (assume @p3 @t9) % 0.44/0.89 (assume @p4 (forall (@list @t15 @t13 @t11 @t14 @t12 @t10) (= (= @t16 (_ (_ (_ tptp.binary717961607le_T_a @t14) @t12) @t10)) (and (= @t15 @t14) (= @t13 @t12) (= @t11 @t10))))) % 0.44/0.89 (assume @p5 (_ @t17 @t7)) % 0.44/0.89 (assume @p6 (= @t20 (_ @t6 @t19))) % 0.44/0.89 (assume @p7 (_ @t21 (_ tptp.binary945792244etOf_a @t20))) % 0.44/0.89 (assume @p8 @t22) % 0.44/0.89 (assume @p9 @t23) % 0.44/0.89 (assume @p10 (forall (@list @t31 @t25 @t28 @t26 @t24) (and (=> @t39 (= @t34 (_ (_ (_ tptp.binary717961607le_T_a (_ @t33 @t26)) @t28) @t24))) (=> (not @t39) (and (=> @t38 (= @t34 (_ @t29 (_ @t33 @t24)))) (=> (not @t38) (= @t34 (_ (_ @t27 @t25) @t24)))))))) % 0.44/0.89 (assume @p11 (forall @t44 (and (=> @t42 (= @t41 @t28)) (=> @t43 (= @t41 (_ @t40 @t24)))))) % 0.44/0.89 (assume @p12 (forall @t53 (exists @t52 (forall @t51 (=> @t50 (not @t47)))))) % 0.44/0.89 (assume @p13 (forall @t53 (exists @t52 (forall @t51 (=> @t50 @t54))))) % 0.44/0.89 (assume @p14 (forall @t53 (exists @t52 (forall @t51 (=> @t50 @t55))))) % 0.44/0.89 (assume @p15 (forall @t76 (=> @t75 (=> @t72 (exists @t52 (forall @t51 (=> @t50 @t64))))))) % 0.44/0.89 (assume @p16 (forall (@list @t31) (_ @t77 tptp.binary476621312_Tip_a))) % 0.44/0.89 (assume @p17 (forall @t83 (=> @t82 (_ @t77 @t80)))) % 0.44/0.89 (assume @p18 (forall @t84 (=> @t81 (_ @t77 (_ (_ @t32 @t28) @t78))))) % 0.44/0.89 (assume @p19 (forall @t83 (=> @t82 (_ (_ tptp.member_a (_ @t40 @t78)) @t85)))) % 0.44/0.89 (assume @p20 (forall @t86 (= (_ @t33 tptp.binary476621312_Tip_a) (_ (_ (_ tptp.binary717961607le_T_a tptp.binary476621312_Tip_a) @t25) tptp.binary476621312_Tip_a)))) % 0.44/0.89 (assume @p21 (forall @t44 (and (=> @t42 (= @t87 @t26)) (=> @t43 (= @t87 (_ @t29 (_ @t79 @t24))))))) % 0.44/0.89 (assume @p22 (forall @t97 (= @t96 (and @t95 (forall @t93 (=> (_ @t92 @t94) (_ (_ tptp.ord_less_int @t90) @t36))) (forall @t93 (=> (_ @t92 @t91) (_ @t37 @t90))) @t88)))) % 0.44/0.89 (assume @p23 (forall (@list @t101) (=> (not (= @t101 tptp.binary476621312_Tip_a)) (not (forall (@list @t100 @t99 @t98) (not (= @t101 (_ (_ (_ tptp.binary717961607le_T_a @t100) @t99) @t98)))))))) % 0.44/0.89 (assume @p24 (forall (@list @t103 @t102) (=> (_ @t103 tptp.binary476621312_Tip_a) (=> (forall (@list @t106 @t105 @t104) (=> (_ @t103 @t106) (=> (_ @t103 @t104) (_ @t103 (_ (_ (_ tptp.binary717961607le_T_a @t106) @t105) @t104))))) (_ @t103 @t102))))) % 0.44/0.89 (assume @p25 (forall (@list @t15 @t13 @t11) (not (= tptp.binary476621312_Tip_a @t16)))) % 0.44/0.89 (assume @p26 (forall @t97 (=> @t96 @t88))) % 0.44/0.89 (assume @p27 (forall @t97 (=> @t96 @t95))) % 0.44/0.89 (assume @p28 (forall @t76 (=> @t111 (=> @t110 (exists @t52 (forall @t51 (=> @t108 @t107))))))) % 0.44/0.89 (assume @p29 (forall @t76 (=> @t111 (=> @t110 (exists @t52 (forall @t51 (=> @t108 @t64))))))) % 0.44/0.89 (assume @p30 (forall @t53 (exists @t52 (forall @t51 (=> @t108 @t55))))) % 0.44/0.89 (assume @p31 (forall @t53 (exists @t52 (forall @t51 (=> @t108 (not @t54)))))) % 0.44/0.89 (assume @p32 (forall @t53 (exists @t52 (forall @t51 (=> @t108 @t47))))) % 0.44/0.89 (assume @p33 (forall @t76 (=> @t75 (=> @t72 (exists @t52 (forall @t51 (=> @t50 @t107))))))) % 0.44/0.89 (assume @p34 (=> (and (not (= tptp.t1 tptp.binary476621312_Tip_a)) @t22) (forall @t115 (=> (_ @t114 (_ tptp.binary945792244etOf_a (_ @t18 tptp.t1))) (_ @t113 (_ tptp.h (_ @t1 tptp.t1))))))) % 0.44/0.89 (assume @p35 (=> (and @t9 @t23) (forall @t115 (=> (_ @t114 @t116) (_ @t113 @t3))))) % 0.44/0.89 (assume @p36 (forall @t84 (=> @t81 (= (_ (_ (_ tptp.binary2053421120memb_a @t31) @t28) @t78) (_ @t117 @t85))))) % 0.44/0.89 (assume @p37 (_ @t21 (_ (_ tptp.sup_sup_set_a (_ (_ tptp.sup_sup_set_a (_ (_ tptp.insert_a tptp.x) tptp.bot_bot_set_a)) (_ tptp.binary945792244etOf_a tptp.t1))) @t116))) % 0.44/0.89 (assume @p38 (forall @t83 (=> @t82 (_ (_ tptp.ord_less_eq_set_a (_ tptp.binary945792244etOf_a @t80)) @t85)))) % 0.44/0.89 (assume @p39 (forall @t86 (= (_ (_ (_ tptp.binary1804682569move_a @t31) @t25) tptp.binary476621312_Tip_a) tptp.binary476621312_Tip_a))) % 0.44/0.89 (assume @p40 (forall @t123 (= (_ @t122 @t121) @t120))) % 0.44/0.89 (assume @p41 (forall @t126 (= (_ tptp.collect_a (lambda @t93 @t125)) @t124))) % 0.44/0.89 (assume @p42 (forall @t133 (=> (forall @t132 (= @t131 @t130)) (= @t121 @t128)))) % 0.44/0.89 (assume @p43 (forall @t137 (=> (not (= @t134 @t135)) (=> (not (_ @t136 @t135)) (_ (_ tptp.ord_less_int @t135) @t134))))) % 0.44/0.89 (assume @p44 (forall (@list @t140 @t142 @t62) (=> (_ (_ tptp.ord_less_int @t140) @t142) (=> (_ @t62 @t140) (=> (not (_ @t62 @t142)) (exists (@list @t138) (and (_ @t141 @t138) (_ (_ tptp.ord_less_eq_int @t138) @t142) (forall @t51 (=> (and (_ @t141 @t45) (_ @t49 @t138)) @t63)) (forall (@list @t139) (=> (forall @t70 (=> (and (_ @t141 @t65) (_ @t68 @t139)) @t73)) (_ (_ tptp.ord_less_eq_int @t139) @t138)))))))))) % 0.44/0.89 (assume @p45 (forall (@list @t26 @t28 @t24) (= (_ tptp.binary945792244etOf_a @t30) (_ (_ tptp.sup_sup_set_a (_ (_ tptp.sup_sup_set_a @t94) @t91)) @t144)))) % 0.44/0.89 (assume @p46 (forall @t53 (exists @t52 (forall @t51 (=> @t50 (not @t145)))))) % 0.44/0.89 (assume @p47 (forall @t53 (exists @t52 (forall @t51 (=> @t50 @t146))))) % 0.44/0.89 (assume @p48 (forall @t53 (exists @t52 (forall @t51 (=> @t108 @t145))))) % 0.44/0.89 (assume @p49 (forall @t53 (exists @t52 (forall @t51 (=> @t108 (not @t146)))))) % 0.44/0.89 (assume @p50 (forall (@list @t31 @t118 @t147 @t78) (_ (_ (_ (_ tptp.binary670562003pred_a @t31) @t118) @t147) @t78))) % 0.44/0.89 (assume @p51 (= (_ tptp.binary945792244etOf_a tptp.binary476621312_Tip_a) tptp.bot_bot_set_a)) % 0.44/0.89 (assume @p52 (forall (@list @t118 @t124 @t147) (= (= @t154 @t149) @t152))) % 0.44/0.89 (assume @p53 (forall (@list @t147 @t118 @t124) (= (= @t149 @t154) @t152))) % 0.44/0.89 (assume @p54 (forall @t158 (= (_ tptp.collect_a (_ (lambda (@list @t157 @t156) (= @t157 @t156)) @t118)) @t155))) % 0.44/0.89 (assume @p55 (forall @t158 (= (_ tptp.collect_a (lambda @t93 @t159)) @t155))) % 0.44/0.89 (assume @p56 (forall (@list @t124 @t118 @t160) (= (_ @t161 @t163) (_ @t153 @t162)))) % 0.44/0.89 (assume @p57 (forall (@list @t118 @t160 @t164) (= (_ (_ tptp.sup_sup_set_a @t163) @t164) (_ @t153 @t166)))) % 0.44/0.89 (assume @p58 (forall @t172 (= @t171 (and @t169 @t168)))) % 0.44/0.89 (assume @p59 (forall @t175 (= (= @t162 tptp.bot_bot_set_a) (and @t174 @t173)))) % 0.44/0.89 (assume @p60 (forall (@list @t176) (not (_ @t177 tptp.bot_bot_set_a)))) % 0.44/0.89 (assume @p61 (forall @t126 (= (forall @t93 (not @t125)) @t174))) % 0.44/0.89 (assume @p62 (forall @t180 (= (= @t121 tptp.bot_bot_set_a) @t179))) % 0.44/0.89 (assume @p63 (forall @t180 (= (= tptp.bot_bot_set_a @t121) @t179))) % 0.44/0.89 (assume @p64 (forall @t175 (=> (forall @t132 (=> (_ @t182 @t124) (_ @t182 @t160))) @t181))) % 0.44/0.89 (assume @p65 (forall @t175 (=> @t181 (=> @t184 @t183)))) % 0.44/0.89 (assume @p66 (forall @t175 (=> @t181 (=> (not @t183) @t186)))) % 0.44/0.89 (assume @p67 (forall @t190 (=> (=> (not @t189) @t151) @t188))) % 0.44/0.89 (assume @p68 (forall @t193 (= @t192 (or @t151 @t191)))) % 0.44/0.89 (assume @p69 (forall @t195 (= (_ @t143 @t194) @t194))) % 0.44/0.89 (assume @p70 (forall @t199 (=> (=> (not @t198) @t197) @t196))) % 0.44/0.89 (assume @p71 (forall @t200 (= @t196 (or @t197 @t198)))) % 0.44/0.89 (assume @p72 (forall @t126 (= (_ @t150 tptp.bot_bot_set_a) @t174))) % 0.44/0.89 (assume @p73 (forall @t126 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t124))) % 0.44/0.89 (assume @p74 (forall @t158 (_ @t122 @t155))) % 0.44/0.89 (assume @p75 (forall @t202 (= (_ (_ tptp.ord_less_eq_set_a @t194) @t160) (and @t201 @t181)))) % 0.44/0.89 (assume @p76 (forall @t158 (not (_ @t122 tptp.bot_bot_set_a)))) % 0.44/0.89 (assume @p77 (forall (@list @t124 @t118) (=> @t174 @t203))) % 0.44/0.89 (assume @p78 (forall @t126 (=> (forall (@list @t204) (not (_ (_ tptp.member_a @t204) @t124))) @t174))) % 0.44/0.89 (assume @p79 (forall @t126 (= (exists @t93 @t125) (not @t174)))) % 0.44/0.89 (assume @p80 (forall @t126 (not (_ @t185 tptp.bot_bot_set_a)))) % 0.44/0.89 (assume @p81 (forall @t206 (=> @t181 (=> @t205 @t201)))) % 0.44/0.89 (assume @p82 (forall @t208 (=> @t181 @t207))) % 0.44/0.89 (assume @p83 (forall @t175 (=> @t183 (not (=> @t181 (not @t184)))))) % 0.44/0.89 (assume @p84 (= tptp.ord_less_eq_set_a (lambda @t213 (forall @t93 (=> @t212 @t210))))) % 0.44/0.89 (assume @p85 (forall @t175 (=> @t183 @t181))) % 0.44/0.89 (assume @p86 (forall @t175 (=> @t183 @t184))) % 0.44/0.89 (assume @p87 (= tptp.ord_less_eq_set_a (lambda @t213 (forall (@list @t214) (=> (_ @t215 @t211) (_ @t215 @t209)))))) % 0.44/0.89 (assume @p88 (forall @t126 (_ @t150 @t124))) % 0.44/0.89 (assume @p89 (forall @t133 (=> @t217 @t216))) % 0.44/0.89 (assume @p90 (forall @t172 (=> @t181 (=> @t168 @t169)))) % 0.44/0.89 (assume @p91 (= (lambda (@list @t221 @t220) (= @t221 @t220)) (lambda @t213 (and @t219 @t218)))) % 0.44/0.89 (assume @p92 (forall @t133 (= @t216 (forall @t93 (=> @t178 @t222))))) % 0.44/0.89 (assume @p93 (= tptp.ord_less_eq_set_a (lambda @t213 (or (_ (_ tptp.ord_less_set_a @t211) @t209) @t223)))) % 0.44/0.89 (assume @p94 (forall @t172 (=> @t181 @t225))) % 0.44/0.89 (assume @p95 (forall @t172 (=> @t186 (=> @t168 @t224)))) % 0.44/0.89 (assume @p96 (forall @t175 (=> @t186 @t181))) % 0.44/0.89 (assume @p97 (= tptp.ord_less_set_a (lambda @t213 (and @t219 (not @t223))))) % 0.44/0.89 (assume @p98 (forall @t175 (=> @t186 (not (=> @t181 @t184))))) % 0.44/0.89 (assume @p99 (forall @t193 (=> @t192 (=> @t226 @t191)))) % 0.44/0.89 (assume @p100 (forall (@list @t118 @t160) (_ @t122 @t163))) % 0.44/0.89 (assume @p101 (forall @t190 (=> @t189 @t188))) % 0.44/0.89 (assume @p102 (forall @t195 (=> @t205 (not (forall @t228 (=> (= @t124 (_ @t143 @t227)) (_ @t117 @t227))))))) % 0.44/0.89 (assume @p103 (forall @t202 (=> @t230 (=> (not @t201) (= (= @t194 @t229) @t183))))) % 0.44/0.89 (assume @p104 (forall @t231 (=> @t191 (= @t154 @t124)))) % 0.44/0.89 (assume @p105 (forall (@list @t118 @t124 @t147 @t160) (=> @t203 (=> (not (_ @t233 @t160)) (= (= @t154 @t187) (and (=> @t151 @t183) (=> @t226 (exists (@list @t232) (and (= @t124 (_ @t148 @t232)) (not (_ @t233 @t232)) (= @t160 (_ @t153 @t232)) (not (_ @t122 @t232))))))))))) % 0.44/0.89 (assume @p106 (forall (@list @t28 @t234 @t124) (= (_ @t143 (_ @t235 @t124)) (_ @t235 @t194)))) % 0.44/0.89 (assume @p107 (forall @t231 (=> @t191 (exists @t228 (and (= @t124 (_ @t153 @t227)) (not (_ @t122 @t227))))))) % 0.44/0.89 (assume @p108 (forall @t200 (=> @t196 (=> (not @t197) @t198)))) % 0.44/0.89 (assume @p109 (forall @t200 (=> @t197 @t196))) % 0.44/0.89 (assume @p110 (forall @t199 (=> @t198 @t196))) % 0.44/0.89 (assume @p111 (forall @t239 (= (exists @t93 (and @t238 @t178)) (or (exists @t93 @t237) (exists @t93 (and @t236 @t178)))))) % 0.44/0.89 (assume @p112 (forall @t239 (= (forall @t93 (=> @t238 @t178)) (and (forall @t93 (=> @t125 @t178)) (forall @t93 (=> @t236 @t178)))))) % 0.44/0.89 (assume @p113 (forall @t172 (= (_ (_ tptp.sup_sup_set_a @t162) @t164) @t240))) % 0.44/0.89 (assume @p114 (forall @t126 (= (_ @t161 @t124) @t124))) % 0.44/0.89 (assume @p115 (= tptp.sup_sup_set_a (lambda @t213 (_ (_ tptp.sup_sup_set_a @t209) @t211)))) % 0.44/0.89 (assume @p116 (forall @t175 (= (_ @t161 @t162) @t162))) % 0.44/0.89 (assume @p117 (forall @t172 (= @t240 (_ @t165 (_ @t161 @t164))))) % 0.44/0.89 (assume @p118 (= tptp.bot_bot_set_a (_ tptp.collect_a (lambda @t93 false)))) % 0.44/0.89 (assume @p119 (forall (@list @t124 @t119) (_ (_ tptp.ord_less_eq_set_a (_ tptp.collect_a (lambda @t93 @t237))) @t124))) % 0.44/0.89 (assume @p120 (forall @t123 (= (_ @t153 @t121) (_ tptp.collect_a (lambda (@list @t241) (=> (not (= @t241 @t118)) (_ @t119 @t241))))))) % 0.44/0.89 (assume @p121 (forall @t133 (= (_ tptp.collect_a (lambda @t93 (or @t178 @t222))) (_ (_ tptp.sup_sup_set_a @t121) @t128)))) % 0.44/0.89 (assume @p122 (forall @t244 (=> @t243 @t242))) % 0.44/0.89 (assume @p123 (forall @t244 (= @t243 @t242))) % 0.44/0.89 (assume @p124 (forall (@list @t118 @t147 @t176 @t245) (= (= (_ @t153 @t149) (_ (_ tptp.insert_a @t176) (_ (_ tptp.insert_a @t245) tptp.bot_bot_set_a))) (or (and (= @t118 @t176) (= @t147 @t245)) (and (= @t118 @t245) (= @t147 @t176)))))) % 0.44/0.89 (assume @p125 (forall @t231 (not (= @t154 tptp.bot_bot_set_a)))) % 0.44/0.89 (assume @p126 (forall (@list @t118 @t147) (=> (= @t155 @t149) @t151))) % 0.44/0.89 (assume @p127 (forall (@list @t164 @t246 @t118) (=> (_ @t247 @t246) (_ (_ tptp.ord_less_eq_set_a (_ @t153 @t164)) (_ @t153 @t246))))) % 0.44/0.89 (assume @p128 (forall @t202 (=> @t230 (= (_ @t150 @t229) @t181)))) % 0.44/0.89 (assume @p129 (forall (@list @t160 @t118) (_ @t167 @t163))) % 0.44/0.89 (assume @p130 (forall (@list @t124 @t160 @t147) (=> @t181 (_ @t150 @t187)))) % 0.44/0.89 (assume @p131 (forall (@list @t160) (= (_ @t248 @t160) @t160))) % 0.44/0.89 (assume @p132 (forall @t126 (= (_ @t161 tptp.bot_bot_set_a) @t124))) % 0.44/0.89 (assume @p133 (forall (@list @t124 @t164 @t160 @t246) (=> @t169 (=> (_ @t167 @t246) (_ @t170 (_ (_ tptp.sup_sup_set_a @t164) @t246)))))) % 0.44/0.89 (assume @p134 (forall (@list @t124 @t164 @t160) (=> @t169 (=> @t168 @t171)))) % 0.44/0.89 (assume @p135 (forall @t175 (_ @t150 @t162))) % 0.44/0.89 (assume @p136 (forall @t249 (_ @t167 @t162))) % 0.44/0.89 (assume @p137 (forall @t175 (=> @t181 (= @t162 @t160)))) % 0.44/0.89 (assume @p138 (forall @t249 (=> @t184 (= @t162 @t124)))) % 0.44/0.89 (assume @p139 (forall (@list @t164 @t124 @t160) (=> (_ @t247 @t162) (not (forall (@list @t251) (=> (_ (_ tptp.ord_less_eq_set_a @t251) @t124) (forall (@list @t250) (=> (_ (_ tptp.ord_less_eq_set_a @t250) @t160) (not (= @t164 (_ (_ tptp.sup_sup_set_a @t251) @t250))))))))))) % 0.44/0.89 (assume @p140 (= tptp.ord_less_eq_set_a (lambda @t213 (= (_ (_ tptp.sup_sup_set_a @t211) @t209) @t209)))) % 0.44/0.89 (assume @p141 (forall @t254 (and (=> @t120 (= @t252 @t155)) (=> @t253 (= @t252 tptp.bot_bot_set_a))))) % 0.44/0.89 (assume @p142 (forall @t254 (and (=> @t120 (= @t255 @t155)) (=> @t253 (= @t255 tptp.bot_bot_set_a))))) % 0.44/0.89 (assume @p143 (= tptp.insert_a (lambda @t259 (_ (_ tptp.sup_sup_set_a (_ tptp.collect_a (lambda @t93 @t258))) @t256)))) % 0.44/0.89 (assume @p144 (forall (@list @t124 @t28) (=> (_ @t150 @t144) (or @t174 @t260)))) % 0.44/0.89 (assume @p145 (forall (@list @t261 @t118) (= (_ (_ tptp.ord_less_eq_set_a @t261) @t155) (or (= @t261 tptp.bot_bot_set_a) (= @t261 @t155))))) % 0.44/0.89 (assume @p146 (= tptp.insert_a (lambda @t259 (_ (_ tptp.sup_sup_set_a (_ (_ tptp.insert_a @t257) tptp.bot_bot_set_a)) @t256)))) % 0.44/0.89 (assume @p147 (forall @t206 (= (= @t162 @t144) @t263))) % 0.44/0.89 (assume @p148 (forall @t202 (= (= @t144 @t162) @t263))) % 0.44/0.89 (assume @p149 (forall @t266 (= (_ @t265 @t264) @t264))) % 0.44/0.89 (assume @p150 (forall @t268 (= (_ @t248 @t267) @t267))) % 0.44/0.89 (assume @p151 (forall @t266 (= (_ @t269 tptp.bot_bot_a_o) @t264))) % 0.44/0.89 (assume @p152 (forall @t268 (= (_ @t270 tptp.bot_bot_set_a) @t267))) % 0.44/0.89 (assume @p153 (forall @t274 (= (= tptp.bot_bot_a_o @t273) @t272))) % 0.44/0.89 (assume @p154 (forall @t278 (= (= tptp.bot_bot_set_a @t277) @t276))) % 0.44/0.89 (assume @p155 (forall @t274 (= (= @t273 tptp.bot_bot_a_o) @t272))) % 0.44/0.89 (assume @p156 (forall @t278 (= (= @t277 tptp.bot_bot_set_a) @t276))) % 0.44/0.89 (assume @p157 (forall @t284 (= (= @t283 tptp.bot_bot_a_o) @t281))) % 0.44/0.89 (assume @p158 (forall @t290 (= (= @t289 tptp.bot_bot_set_a) @t287))) % 0.44/0.89 (assume @p159 (forall @t291 (= (_ @t265 @t280) @t280))) % 0.44/0.89 (assume @p160 (forall @t292 (= (_ @t248 @t286) @t286))) % 0.44/0.89 (assume @p161 (forall @t284 (= (= tptp.bot_bot_a_o @t283) @t281))) % 0.44/0.89 (assume @p162 (forall @t290 (= (= tptp.bot_bot_set_a @t289) @t287))) % 0.44/0.89 (assume @p163 (forall @t284 (= (_ @t293 @t279) @t283))) % 0.44/0.89 (assume @p164 (forall @t297 (= (_ @t296 @t142) @t295))) % 0.44/0.89 (assume @p165 (forall @t290 (= (_ @t298 @t285) @t289))) % 0.44/0.89 (assume @p166 (forall @t274 (= (_ @t269 @t273) @t273))) % 0.44/0.89 (assume @p167 (forall @t137 (= (_ @t299 @t300) @t300))) % 0.44/0.89 (assume @p168 (forall @t278 (= (_ @t270 @t277) @t277))) % 0.44/0.89 (assume @p169 (forall @t284 (= (_ @t282 @t283) @t283))) % 0.44/0.89 (assume @p170 (forall @t297 (= (_ @t294 @t295) @t295))) % 0.44/0.89 (assume @p171 (forall @t290 (= (_ @t288 @t289) @t289))) % 0.44/0.89 (assume @p172 (forall @t266 (= (_ @t269 @t264) @t264))) % 0.44/0.89 (assume @p173 (forall @t301 (= (_ @t299 @t134) @t134))) % 0.44/0.89 (assume @p174 (forall @t268 (= (_ @t270 @t267) @t267))) % 0.44/0.89 (assume @p175 (forall @t291 (= (_ @t282 @t280) @t280))) % 0.44/0.89 (assume @p176 (forall (@list @t140) (= (_ @t294 @t140) @t140))) % 0.44/0.89 (assume @p177 (forall @t292 (= (_ @t288 @t286) @t286))) % 0.44/0.89 (assume @p178 (forall @t310 (= @t309 (and @t306 @t304)))) % 0.44/0.89 (assume @p179 (forall @t319 (= @t318 (and @t315 @t313)))) % 0.44/0.89 (assume @p180 (forall @t328 (= @t327 (and @t324 @t322)))) % 0.44/0.89 (assume @p181 (forall @t332 (= (_ (_ tptp.ord_less_eq_int @t300) @t329) (and (_ @t331 @t329) (_ @t330 @t329))))) % 0.44/0.89 (assume @p182 (forall @t336 (= (_ (_ tptp.ord_less_eq_a_o @t273) @t333) (and (_ @t335 @t333) (_ @t334 @t333))))) % 0.44/0.89 (assume @p183 (forall @t340 (= (_ (_ tptp.ord_less_eq_set_a @t277) @t337) (and (_ @t339 @t337) (_ @t338 @t337))))) % 0.44/0.89 (assume @p184 (forall @t291 (= (_ @t282 tptp.bot_bot_a_o) @t280))) % 0.44/0.89 (assume @p185 (forall @t292 (= (_ @t288 tptp.bot_bot_set_a) @t286))) % 0.44/0.89 (assume @p186 (= tptp.ord_less_set_a (lambda @t213 (_ (_ tptp.ord_less_a_o @t342) @t341)))) % 0.44/0.89 (assume @p187 (forall @t172 (=> @t186 @t225))) % 0.44/0.89 (assume @p188 (forall @t208 (=> @t186 @t207))) % 0.44/0.89 (assume @p189 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 0.44/0.89 (assume @p190 (= tptp.sup_sup_set_a (lambda @t213 (_ tptp.collect_a (_ (_ tptp.sup_sup_a_o @t342) @t341))))) % 0.44/0.89 (assume @p191 (forall @t336 (= @t345 (_ @t343 (_ @t269 @t333))))) % 0.44/0.89 (assume @p192 (forall @t332 (= @t348 (_ @t346 (_ @t299 @t329))))) % 0.44/0.89 (assume @p193 (forall @t340 (= @t351 (_ @t349 (_ @t270 @t337))))) % 0.44/0.89 (assume @p194 (forall @t353 (= (_ @t316 (_ @t282 @t311)) @t352))) % 0.44/0.89 (assume @p195 (forall @t355 (= (_ @t307 (_ @t294 @t302)) @t354))) % 0.44/0.89 (assume @p196 (forall @t357 (= (_ @t325 (_ @t288 @t320)) @t356))) % 0.44/0.89 (assume @p197 (= tptp.sup_sup_a_o (lambda (@list @t359 @t360 @t358) (_ (_ (_ tptp.sup_sup_a_o @t360) @t359) @t358)))) % 0.44/0.89 (assume @p198 (= tptp.sup_sup_int (lambda @t363 (_ (_ tptp.sup_sup_int @t362) @t361)))) % 0.44/0.89 (assume @p199 (= tptp.sup_sup_set_a (lambda @t366 (_ (_ tptp.sup_sup_set_a @t365) @t364)))) % 0.44/0.89 (assume @p200 (= tptp.sup_sup_a_o (lambda (@list @t367 @t368 @t358) (_ (_ (_ tptp.sup_sup_a_o @t368) @t367) @t358)))) % 0.44/0.89 (assume @p201 (= tptp.sup_sup_int (lambda @t371 (_ (_ tptp.sup_sup_int @t370) @t369)))) % 0.44/0.89 (assume @p202 (= tptp.sup_sup_set_a (lambda @t374 (_ (_ tptp.sup_sup_set_a @t373) @t372)))) % 0.44/0.89 (assume @p203 (forall @t336 (= (_ (_ tptp.sup_sup_a_o @t273) @t333) @t345))) % 0.44/0.89 (assume @p204 (forall @t332 (= (_ (_ tptp.sup_sup_int @t300) @t329) @t348))) % 0.44/0.89 (assume @p205 (forall @t340 (= (_ (_ tptp.sup_sup_set_a @t277) @t337) @t351))) % 0.44/0.89 (assume @p206 (forall (@list @t280 @t279 @t311) (= (_ @t293 @t311) @t352))) % 0.44/0.89 (assume @p207 (forall (@list @t140 @t142 @t302) (= (_ @t296 @t302) @t354))) % 0.44/0.89 (assume @p208 (forall (@list @t286 @t285 @t320) (= (_ @t298 @t320) @t356))) % 0.44/0.89 (assume @p209 (forall (@list @t378 @t375 @t279 @t280) (=> (= @t378 (_ @t376 @t279)) (= (_ @t282 @t378) @t377)))) % 0.44/0.89 (assume @p210 (forall (@list @t382 @t379 @t142 @t140) (=> (= @t382 (_ @t380 @t142)) (= (_ @t294 @t382) @t381)))) % 0.44/0.89 (assume @p211 (forall (@list @t160 @t383 @t285 @t286) (=> (= @t160 (_ @t384 @t285)) (= (_ @t288 @t160) @t385)))) % 0.44/0.89 (assume @p212 (forall (@list @t386 @t375 @t280 @t279) (=> (= @t386 (_ @t376 @t280)) (= (_ @t387 @t279) @t377)))) % 0.44/0.89 (assume @p213 (forall (@list @t388 @t379 @t140 @t142) (=> (= @t388 (_ @t380 @t140)) (= (_ (_ tptp.sup_sup_int @t388) @t142) @t381)))) % 0.44/0.89 (assume @p214 (forall (@list @t124 @t383 @t286 @t285) (=> (= @t124 (_ @t384 @t286)) (= (_ @t161 @t285) @t385)))) % 0.44/0.89 (assume @p215 (forall @t390 (=> (_ @t303 @t142) @t389))) % 0.44/0.89 (assume @p216 (forall @t392 (=> (_ @t312 @t279) @t391))) % 0.44/0.89 (assume @p217 (forall @t394 (=> (_ @t321 @t285) @t393))) % 0.44/0.89 (assume @p218 (forall @t395 (=> @t304 @t389))) % 0.44/0.89 (assume @p219 (forall @t396 (=> @t313 @t391))) % 0.44/0.89 (assume @p220 (forall @t397 (=> @t322 @t393))) % 0.44/0.89 (assume @p221 (= tptp.ord_less_eq_set_a (lambda @t374 (= @t398 @t373)))) % 0.44/0.89 (assume @p222 (= tptp.ord_less_eq_int (lambda @t401 (= @t400 @t369)))) % 0.44/0.89 (assume @p223 (= tptp.ord_less_eq_a_o (lambda @t403 (= @t402 @t367)))) % 0.44/0.89 (assume @p224 (= tptp.ord_less_eq_set_a (lambda @t404 (= @t398 @t372)))) % 0.44/0.89 (assume @p225 (forall @t405 (_ @t305 @t295))) % 0.44/0.89 (assume @p226 (forall @t406 (_ @t314 @t283))) % 0.44/0.89 (assume @p227 (forall @t407 (_ @t323 @t289))) % 0.44/0.89 (assume @p228 (forall @t297 (_ @t141 @t295))) % 0.44/0.89 (assume @p229 (forall @t284 (_ @t408 @t283))) % 0.44/0.89 (assume @p230 (forall @t290 (_ @t409 @t289))) % 0.44/0.89 (assume @p231 (= tptp.ord_less_eq_int (lambda @t401 @t410))) % 0.44/0.89 (assume @p232 (= tptp.ord_less_eq_a_o (lambda @t403 @t411))) % 0.44/0.89 (assume @p233 (= tptp.ord_less_eq_set_a (lambda @t404 @t412))) % 0.44/0.89 (assume @p234 (forall @t355 (=> @t306 (=> @t304 @t309)))) % 0.44/0.89 (assume @p235 (forall @t353 (=> @t315 (=> @t313 @t318)))) % 0.44/0.89 (assume @p236 (forall @t357 (=> @t324 (=> @t322 @t327)))) % 0.44/0.89 (assume @p237 (forall @t310 (=> @t309 (not (=> @t306 (not @t304)))))) % 0.44/0.89 (assume @p238 (forall @t319 (=> @t318 (not (=> @t315 (not @t313)))))) % 0.44/0.89 (assume @p239 (forall @t328 (=> @t327 (not (=> @t324 (not @t322)))))) % 0.44/0.89 (assume @p240 (forall @t137 (=> (_ @t331 @t135) (= @t300 @t135)))) % 0.44/0.89 (assume @p241 (forall @t274 (=> (_ @t335 @t271) (= @t273 @t271)))) % 0.44/0.89 (assume @p242 (forall @t278 (=> (_ @t339 @t275) (= @t277 @t275)))) % 0.44/0.89 (assume @p243 (forall @t414 (=> @t413 (= @t300 @t134)))) % 0.44/0.89 (assume @p244 (forall @t416 (=> @t415 (= @t273 @t264)))) % 0.44/0.89 (assume @p245 (forall @t418 (=> @t417 (= @t277 @t267)))) % 0.44/0.89 (assume @p246 (forall @t297 (=> (_ @t141 @t142) (= @t295 @t142)))) % 0.44/0.89 (assume @p247 (forall @t284 (=> (_ @t408 @t279) (= @t283 @t279)))) % 0.44/0.89 (assume @p248 (forall @t290 (=> (_ @t409 @t285) (= @t289 @t285)))) % 0.44/0.89 (assume @p249 (forall @t405 (=> @t306 (= @t295 @t140)))) % 0.44/0.89 (assume @p250 (forall @t406 (=> @t315 (= @t283 @t280)))) % 0.44/0.89 (assume @p251 (forall @t407 (=> @t324 (= @t289 @t286)))) % 0.44/0.89 (assume @p252 (forall (@list @t419 @t134 @t135) (=> (forall @t423 (_ @t424 @t422)) (=> (forall @t423 (_ @t421 @t422)) (=> (forall (@list @t65 @t420 @t48) (=> (_ @t421 @t65) (=> (_ (_ tptp.ord_less_eq_int @t48) @t65) (_ (_ tptp.ord_less_eq_int (_ (_ @t419 @t420) @t48)) @t65)))) (= @t300 (_ (_ @t419 @t134) @t135))))))) % 0.44/0.89 (assume @p253 (forall (@list @t425 @t264 @t271) (=> (forall @t431 (_ @t432 @t430)) (=> (forall @t431 (_ @t429 @t430)) (=> (forall (@list @t426 @t428 @t427) (=> (_ @t429 @t426) (=> (_ (_ tptp.ord_less_eq_a_o @t427) @t426) (_ (_ tptp.ord_less_eq_a_o (_ (_ @t425 @t428) @t427)) @t426)))) (= @t273 (_ (_ @t425 @t264) @t271))))))) % 0.44/0.89 (assume @p254 (forall (@list @t433 @t267 @t275) (=> (forall @t439 (_ @t440 @t438)) (=> (forall @t439 (_ @t437 @t438)) (=> (forall (@list @t434 @t436 @t435) (=> (_ @t437 @t434) (=> (_ (_ tptp.ord_less_eq_set_a @t435) @t434) (_ (_ tptp.ord_less_eq_set_a (_ (_ @t433 @t436) @t435)) @t434)))) (= @t277 (_ (_ @t433 @t267) @t275))))))) % 0.44/0.89 (assume @p255 (forall @t297 (=> @t441 @t306))) % 0.44/0.89 (assume @p256 (forall @t284 (=> @t442 @t315))) % 0.44/0.89 (assume @p257 (forall @t290 (=> @t443 @t324))) % 0.44/0.89 (assume @p258 (forall @t405 (=> @t306 @t441))) % 0.44/0.89 (assume @p259 (forall @t406 (=> @t315 @t442))) % 0.44/0.89 (assume @p260 (forall @t407 (=> @t324 @t443))) % 0.44/0.89 (assume @p261 (= tptp.ord_less_eq_int (lambda @t363 (= (_ (_ tptp.sup_sup_int @t361) @t362) @t362)))) % 0.44/0.89 (assume @p262 (= tptp.ord_less_eq_a_o (lambda (@list @t359 @t360) (= (_ (_ tptp.sup_sup_a_o @t359) @t360) @t360)))) % 0.44/0.89 (assume @p263 (= tptp.ord_less_eq_set_a (lambda @t366 (= (_ (_ tptp.sup_sup_set_a @t364) @t365) @t365)))) % 0.44/0.89 (assume @p264 (forall (@list @t135 @t134 @t329) (=> @t413 (=> (_ (_ tptp.ord_less_eq_int @t329) @t134) (_ (_ tptp.ord_less_eq_int @t347) @t134))))) % 0.44/0.89 (assume @p265 (forall (@list @t271 @t264 @t333) (=> @t415 (=> (_ (_ tptp.ord_less_eq_a_o @t333) @t264) (_ (_ tptp.ord_less_eq_a_o @t344) @t264))))) % 0.44/0.89 (assume @p266 (forall (@list @t275 @t267 @t337) (=> @t417 (=> (_ (_ tptp.ord_less_eq_set_a @t337) @t267) (_ (_ tptp.ord_less_eq_set_a @t350) @t267))))) % 0.44/0.89 (assume @p267 (forall (@list @t140 @t302 @t142 @t444) (=> (_ @t141 @t302) (=> (_ @t305 @t444) (_ @t446 @t445))))) % 0.44/0.89 (assume @p268 (forall (@list @t280 @t311 @t279 @t447) (=> (_ @t408 @t311) (=> (_ @t314 @t447) (_ @t449 @t448))))) % 0.44/0.89 (assume @p269 (forall (@list @t286 @t320 @t285 @t450) (=> (_ @t409 @t320) (=> (_ @t323 @t450) (_ @t452 @t451))))) % 0.44/0.89 (assume @p270 (forall (@list @t302 @t140 @t444 @t142) (=> @t304 (=> (_ (_ tptp.ord_less_eq_int @t444) @t142) (_ (_ tptp.ord_less_eq_int @t445) @t295))))) % 0.44/0.89 (assume @p271 (forall (@list @t311 @t280 @t447 @t279) (=> @t313 (=> (_ (_ tptp.ord_less_eq_a_o @t447) @t279) (_ (_ tptp.ord_less_eq_a_o @t448) @t283))))) % 0.44/0.89 (assume @p272 (forall (@list @t320 @t286 @t450 @t285) (=> @t322 (=> (_ (_ tptp.ord_less_eq_set_a @t450) @t285) (_ (_ tptp.ord_less_eq_set_a @t451) @t289))))) % 0.44/0.89 (assume @p273 (forall @t454 (=> (_ @t331 @t142) @t453))) % 0.44/0.89 (assume @p274 (forall @t456 (=> (_ @t335 @t279) @t455))) % 0.44/0.89 (assume @p275 (forall @t458 (=> (_ @t339 @t285) @t457))) % 0.44/0.89 (assume @p276 (forall @t459 (=> (_ @t331 @t140) @t453))) % 0.44/0.89 (assume @p277 (forall @t460 (=> (_ @t335 @t280) @t455))) % 0.44/0.89 (assume @p278 (forall @t461 (=> (_ @t339 @t286) @t457))) % 0.44/0.89 (assume @p279 (forall @t414 (_ @t330 @t300))) % 0.44/0.89 (assume @p280 (forall @t416 (_ @t334 @t273))) % 0.44/0.89 (assume @p281 (forall @t418 (_ @t338 @t277))) % 0.44/0.89 (assume @p282 (forall @t137 (_ @t331 @t300))) % 0.44/0.89 (assume @p283 (forall @t274 (_ @t335 @t273))) % 0.44/0.89 (assume @p284 (forall @t278 (_ @t339 @t277))) % 0.44/0.89 (assume @p285 (forall (@list @t140 @t134 @t142) (=> @t464 (=> @t463 @t462)))) % 0.44/0.89 (assume @p286 (forall (@list @t280 @t264 @t279) (=> @t467 (=> @t466 @t465)))) % 0.44/0.89 (assume @p287 (forall (@list @t286 @t267 @t285) (=> @t470 (=> @t469 @t468)))) % 0.44/0.89 (assume @p288 (forall (@list @t140 @t142 @t134) (=> @t462 (not (=> @t464 (not @t463)))))) % 0.44/0.89 (assume @p289 (forall (@list @t280 @t279 @t264) (=> @t465 (not (=> @t467 (not @t466)))))) % 0.44/0.89 (assume @p290 (forall (@list @t286 @t285 @t267) (=> @t468 (not (=> @t470 (not @t469)))))) % 0.44/0.89 (assume @p291 (forall @t460 (=> (_ @t471 @t280) @t472))) % 0.44/0.89 (assume @p292 (forall @t461 (=> (_ @t473 @t286) @t474))) % 0.44/0.89 (assume @p293 (forall @t459 (=> (_ @t136 @t140) @t475))) % 0.44/0.89 (assume @p294 (forall @t456 (=> (_ @t471 @t279) @t472))) % 0.44/0.89 (assume @p295 (forall @t458 (=> (_ @t473 @t285) @t474))) % 0.44/0.89 (assume @p296 (forall @t454 (=> (_ @t136 @t142) @t475))) % 0.44/0.89 (assume @p297 (forall @t319 (=> (_ (_ tptp.ord_less_a_o @t317) @t280) (not (=> (_ (_ tptp.ord_less_a_o @t279) @t280) (not @t477)))))) % 0.44/0.89 (assume @p298 (forall @t328 (=> (_ (_ tptp.ord_less_set_a @t326) @t286) (not (=> (_ (_ tptp.ord_less_set_a @t285) @t286) (not @t479)))))) % 0.44/0.89 (assume @p299 (forall @t310 (=> (_ (_ tptp.ord_less_int @t308) @t140) (not (=> (_ (_ tptp.ord_less_int @t142) @t140) (not @t481)))))) % 0.44/0.89 (assume @p300 (= tptp.ord_less_set_a (lambda @t404 (and @t412 (not (= @t372 @t373)))))) % 0.44/0.89 (assume @p301 (forall @t396 (=> @t477 @t482))) % 0.44/0.89 (assume @p302 (forall @t397 (=> @t479 @t483))) % 0.44/0.89 (assume @p303 (forall @t395 (=> @t481 @t484))) % 0.44/0.89 (assume @p304 (forall @t392 (=> (_ @t476 @t279) @t482))) % 0.44/0.89 (assume @p305 (forall @t394 (=> (_ @t478 @t285) @t483))) % 0.44/0.89 (assume @p306 (forall @t390 (=> (_ @t480 @t142) @t484))) % 0.44/0.89 (assume @p307 (forall @t133 (=> @t217 (_ (_ tptp.ord_less_eq_a_o @t119) @t127)))) % 0.44/0.89 (assume @p308 (forall (@list @t486 @t485) (= (_ (_ tptp.ord_less_eq_a_o (lambda @t93 (_ @t92 @t486))) (lambda @t93 (_ @t92 @t485))) (_ (_ tptp.ord_less_eq_set_a @t486) @t485)))) % 0.44/0.89 (assume @p309 (forall (@list @t28) (= (_ tptp.the_elem_a @t144) @t28))) % 0.44/0.89 (assume @p310 (forall @t268 (_ @t339 @t267))) % 0.44/0.89 (assume @p311 (forall @t301 (_ @t331 @t134))) % 0.44/0.89 (assume @p312 (forall @t266 (_ @t335 @t264))) % 0.44/0.89 (assume @p313 (forall @t490 (=> (=> (not @t489) @t488) @t487))) % 0.44/0.89 (assume @p314 (forall @t490 (=> @t489 @t487))) % 0.44/0.89 (assume @p315 (forall (@list @t386 @t28 @t378) (=> @t488 @t487))) % 0.44/0.89 (assume @p316 (forall (@list @t386 @t378 @t28) (=> @t487 (=> (not @t488) @t489)))) % 0.44/0.89 (assume @p317 (forall (@list @t140 @t491 @t279 @t311) (=> (_ @t141 (_ @t491 @t279)) (=> @t493 (=> (forall @t431 (=> @t492 (_ (_ tptp.ord_less_eq_int (_ @t491 @t426)) (_ @t491 @t428)))) (_ @t141 (_ @t491 @t311))))))) % 0.44/0.89 (assume @p318 (forall (@list @t280 @t494 @t285 @t320) (=> (_ @t408 (_ @t494 @t285)) (=> (_ @t323 @t320) (=> (forall @t439 (=> (_ @t440 @t436) (_ (_ tptp.ord_less_eq_a_o (_ @t494 @t434)) (_ @t494 @t436)))) (_ @t408 (_ @t494 @t320))))))) % 0.44/0.89 (assume @p319 (forall (@list @t280 @t495 @t142 @t302) (=> (_ @t408 (_ @t495 @t142)) (=> (_ @t305 @t302) (=> (forall @t423 (=> (_ @t424 @t420) (_ (_ tptp.ord_less_eq_a_o (_ @t495 @t65)) (_ @t495 @t420)))) (_ @t408 (_ @t495 @t302))))))) % 0.44/0.89 (assume @p320 (forall (@list @t280 @t496 @t279 @t311) (=> (_ @t408 (_ @t496 @t279)) (=> @t493 (=> (forall @t431 (=> @t492 (_ (_ tptp.ord_less_eq_a_o (_ @t496 @t426)) (_ @t496 @t428)))) (_ @t408 (_ @t496 @t311))))))) % 0.44/0.89 (assume @p321 @t498) % 0.44/0.89 (assume @p322 true) % 0.44/0.89 (step @p323 (= tptp.binary670562003pred_a @t503) :rule refl :args (@t503)) % 0.44/0.89 (step @p324 (= tptp.ord_less_eq_set_a @t504) :rule refl :args (@t504)) % 0.44/0.89 (step @p325 (= tptp.ord_less_set_a @t505) :rule refl :args (@t505)) % 0.44/0.89 (step @p326 (= tptp.insert_a @t506) :rule refl :args (@t506)) % 0.44/0.89 (step @p327 (= tptp.sup_sup_set_a @t507) :rule refl :args (@t507)) % 0.44/0.89 (step @p328 (= tptp.sup_sup_a_o @t510) :rule refl :args (@t510)) % 0.44/0.89 (step @p329 (= tptp.ord_less_eq_int @t511) :rule refl :args (@t511)) % 0.44/0.89 (step @p330 (= tptp.ord_less_eq_a_o @t512) :rule refl :args (@t512)) % 0.44/0.89 (step @p331 (= tptp.ord_less_a_o @t513) :rule refl :args (@t513)) % 0.44/0.89 (step @p332 (= tptp.ord_less_int @t514) :rule refl :args (@t514)) % 0.44/0.89 (step @p333 (= tptp.bot_bot_a_o @t515) :rule refl :args (@t515)) % 0.44/0.89 (step @p334 :rule eq-symm :args (@t516 @t518)) % 0.44/0.89 (step @p335 :rule refl :args ((tptp.h @t2))) % 0.44/0.89 (step @p336 :rule refl :args (@t517)) % 0.44/0.89 (step @p337 :rule cong :premises (@p336) :args (@t518)) % 0.44/0.89 (step @p338 :rule trans :premises (@p337 @p335)) % 0.44/0.89 (step @p339 :rule refl :args (tptp.h)) % 0.44/0.89 (step @p340 :rule ho_cong :premises (@p339 @p336)) % 0.44/0.89 (step @p341 :rule cong :premises (@p340 @p338) :args ((= (_ tptp.h @t517) @t518))) % 0.44/0.89 (step @p342 :rule symm :premises (@p341)) % 0.44/0.89 (step @p343 :rule refl :args (@t3)) % 0.44/0.89 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.44/0.89 (step @p345 :rule refl :args (@t2)) % 0.44/0.89 (step @p346 :rule cong :premises (@p345 @p336) :args ((= @t2 @t517))) % 0.44/0.89 (step @p347 :rule symm :premises (@p346)) % 0.44/0.89 (step @p348 :rule eq_resolve :premises (@p345 @p347)) % 0.44/0.89 (step @p349 :rule refl :args (tptp.h)) % 0.44/0.89 (step @p350 :rule ho_cong :premises (@p349 @p348)) % 0.44/0.89 (step @p351 :rule trans :premises (@p350 @p344)) % 0.44/0.89 (step @p352 :rule refl :args (@t516)) % 0.44/0.89 (step @p353 :rule refl :args (@t4)) % 0.44/0.89 (step @p354 :rule cong :premises (@p353 @p352) :args ((= @t4 @t516))) % 0.44/0.89 (step @p355 :rule symm :premises (@p354)) % 0.44/0.89 (step @p356 :rule eq_resolve :premises (@p353 @p355)) % 0.44/0.89 (step @p357 :rule cong :premises (@p356 @p351) :args (@t519)) % 0.44/0.89 (step @p358 :rule trans :premises (@p357 @p334)) % 0.44/0.89 (step @p359 :rule cong :premises (@p358) :args (@t520)) % 0.44/0.89 (step @p360 :rule refl :args ((tptp.sup_sup_int @t3 @t4))) % 0.44/0.89 (step @p361 :rule cong :premises (@p338 @p352) :args (@t521)) % 0.44/0.89 (step @p362 :rule trans :premises (@p361 @p360)) % 0.44/0.89 (step @p363 :rule refl :args (tptp.sup_sup_int)) % 0.44/0.89 (step @p364 :rule ho_cong :premises (@p363 @p338)) % 0.44/0.89 (step @p365 :rule ho_cong :premises (@p364 @p352)) % 0.44/0.89 (step @p366 :rule cong :premises (@p365 @p362) :args ((= (_ (_ tptp.sup_sup_int @t518) @t516) @t521))) % 0.44/0.89 (step @p367 :rule symm :premises (@p366)) % 0.44/0.89 (step @p368 :rule refl :args (@t522)) % 0.44/0.89 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.44/0.89 (step @p370 :rule refl :args (tptp.sup_sup_int)) % 0.44/0.89 (step @p371 :rule ho_cong :premises (@p370 @p351)) % 0.44/0.89 (step @p372 :rule ho_cong :premises (@p371 @p356)) % 0.44/0.89 (step @p373 :rule trans :premises (@p372 @p369)) % 0.44/0.89 (step @p374 :rule cong :premises (@p351 @p373) :args (@t523)) % 0.44/0.89 (step @p375 :rule nary_cong :premises (@p374 @p359) :args (@t524)) % 0.44/0.89 (step @p376 :rule beta-reduce :args ((= (_ @t527 @t3) @t524))) % 0.44/0.89 (step @p377 :rule refl :args (@t3)) % 0.44/0.89 (step @p378 :rule eq-symm :args (@t369 @t4)) % 0.44/0.89 (step @p379 :rule cong :premises (@p378) :args (@t528)) % 0.44/0.89 (step @p380 :rule refl :args (@t525)) % 0.44/0.89 (step @p381 :rule nary_cong :premises (@p380 @p379) :args (@t529)) % 0.44/0.89 (step @p382 :rule cong :premises (@p381) :args (@t530)) % 0.44/0.89 (step @p383 :rule beta-reduce :args ((= @t531 @t530))) % 0.44/0.89 (step @p384 :rule trans :premises (@p383 @p382)) % 0.44/0.89 (step @p385 :rule ho_cong :premises (@p384 @p377)) % 0.44/0.89 (step @p386 :rule trans :premises (@p385 @p376)) % 0.44/0.89 (step @p387 :rule refl :args (@t4)) % 0.44/0.89 (step @p388 :rule ho_cong :premises (@p332 @p387)) % 0.44/0.89 (step @p389 :rule ho_cong :premises (@p388 @p377)) % 0.44/0.89 (step @p390 :rule trans :premises (@p389 @p386)) % 0.44/0.89 (step @p391 :rule trans :premises (@p390 @p375)) % 0.44/0.89 (step @p392 :rule eq_resolve :premises (@p1 @p391)) % 0.44/0.89 (step @p393 :rule and_elim :premises (@p392) :args (1)) % 0.44/0.89 (step @p394 :rule refl :args ((tptp.binary339557810e_rm_a tptp.h @t7))) % 0.44/0.89 (step @p395 :rule refl :args (@t532)) % 0.44/0.89 (step @p396 :rule cong :premises (@p339 @p395) :args (@t533)) % 0.44/0.89 (step @p397 :rule trans :premises (@p396 @p394)) % 0.44/0.89 (step @p398 :rule refl :args (@t1)) % 0.44/0.89 (step @p399 :rule ho_cong :premises (@p398 @p395)) % 0.44/0.89 (step @p400 :rule cong :premises (@p399 @p397) :args ((= (_ @t1 @t532) @t533))) % 0.44/0.89 (step @p401 :rule symm :premises (@p400)) % 0.44/0.89 (step @p402 :rule refl :args (@t8)) % 0.44/0.89 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 0.44/0.89 (step @p404 :rule refl :args (@t7)) % 0.44/0.89 (step @p405 :rule cong :premises (@p404 @p395) :args ((= @t7 @t532))) % 0.44/0.89 (step @p406 :rule symm :premises (@p405)) % 0.44/0.89 (step @p407 :rule eq_resolve :premises (@p404 @p406)) % 0.44/0.89 (step @p408 :rule refl :args (@t1)) % 0.44/0.89 (step @p409 :rule ho_cong :premises (@p408 @p407)) % 0.44/0.89 (step @p410 :rule trans :premises (@p409 @p403)) % 0.44/0.89 (step @p411 :rule cong :premises (@p348 @p410) :args ((= @t2 @t8))) % 0.44/0.89 (step @p412 :rule eq-symm :args (@t8 @t2)) % 0.44/0.89 (step @p413 :rule trans :premises (@p412 @p411)) % 0.44/0.89 (step @p414 :rule eq_resolve :premises (@p2 @p413)) % 0.44/0.89 (step @p415 :rule refl :args (@t516)) % 0.44/0.89 (step @p416 :rule cong :premises (@p414) :args (@t518)) % 0.44/0.89 (step @p417 :rule cong :premises (@p416 @p415) :args (@t521)) % 0.44/0.89 (step @p418 :rule and_elim :premises (@p392) :args (0)) % 0.44/0.89 (step @p419 :rule symm :premises (@p416)) % 0.44/0.89 (step @p420 :rule trans :premises (@p419 @p418 @p417)) % 0.44/0.89 (step @p421 :rule bool-double-not-elim :args (@t535)) % 0.44/0.89 (step @p422 :rule refl :args (@t538)) % 0.44/0.89 (step @p423 :rule nary_cong :premises (@p422 @p421) :args ((or @t538 (not @t539)))) % 0.44/0.89 (step @p424 :rule refl :args ((tptp.h @t8))) % 0.44/0.89 (step @p425 :rule cong :premises (@p397) :args (@t534)) % 0.44/0.89 (step @p426 :rule trans :premises (@p425 @p424)) % 0.44/0.89 (step @p427 :rule ho_cong :premises (@p339 @p397)) % 0.44/0.89 (step @p428 :rule cong :premises (@p427 @p426) :args ((= (_ tptp.h @t533) @t534))) % 0.44/0.89 (step @p429 :rule symm :premises (@p428)) % 0.44/0.89 (step @p430 :rule refl :args (@t497)) % 0.44/0.89 (step @p431 :rule eq_resolve :premises (@p430 @p429)) % 0.44/0.89 (step @p432 :rule ho_cong :premises (@p349 @p410)) % 0.44/0.89 (step @p433 :rule trans :premises (@p432 @p431)) % 0.44/0.89 (step @p434 :rule cong :premises (@p356 @p433) :args (@t540)) % 0.44/0.89 (step @p435 :rule cong :premises (@p434) :args (@t541)) % 0.44/0.89 (step @p436 :rule refl :args ((tptp.sup_sup_int @t497 @t4))) % 0.44/0.89 (step @p437 :rule cong :premises (@p426 @p352) :args (@t536)) % 0.44/0.89 (step @p438 :rule trans :premises (@p437 @p436)) % 0.44/0.89 (step @p439 :rule ho_cong :premises (@p363 @p426)) % 0.44/0.89 (step @p440 :rule ho_cong :premises (@p439 @p352)) % 0.44/0.89 (step @p441 :rule cong :premises (@p440 @p438) :args ((= (_ (_ tptp.sup_sup_int @t534) @t516) @t536))) % 0.44/0.89 (step @p442 :rule symm :premises (@p441)) % 0.44/0.89 (step @p443 :rule refl :args (@t542)) % 0.44/0.89 (step @p444 :rule eq_resolve :premises (@p443 @p442)) % 0.44/0.89 (step @p445 :rule ho_cong :premises (@p370 @p433)) % 0.44/0.89 (step @p446 :rule ho_cong :premises (@p445 @p356)) % 0.44/0.89 (step @p447 :rule trans :premises (@p446 @p444)) % 0.44/0.89 (step @p448 :rule cong :premises (@p433 @p447) :args (@t543)) % 0.44/0.89 (step @p449 :rule nary_cong :premises (@p448 @p435) :args (@t544)) % 0.44/0.89 (step @p450 :rule cong :premises (@p449) :args ((not @t544))) % 0.44/0.89 (step @p451 :rule beta-reduce :args ((= (_ @t527 @t497) @t544))) % 0.44/0.89 (step @p452 :rule refl :args (@t497)) % 0.44/0.89 (step @p453 :rule ho_cong :premises (@p384 @p452)) % 0.44/0.89 (step @p454 :rule trans :premises (@p453 @p451)) % 0.44/0.89 (step @p455 :rule cong :premises (@p454) :args ((not (_ @t531 @t497)))) % 0.44/0.89 (step @p456 :rule ho_cong :premises (@p388 @p452)) % 0.44/0.89 (step @p457 :rule cong :premises (@p456) :args (@t498)) % 0.44/0.89 (step @p458 :rule trans :premises (@p457 @p455)) % 0.44/0.89 (step @p459 :rule trans :premises (@p458 @p450)) % 0.44/0.89 (step @p460 :rule eq_resolve :premises (@p321 @p459)) % 0.44/0.89 (step @p461 :rule not_and :premises (@p460)) % 0.44/0.89 (step @p462 :rule eq_resolve :premises (@p461 @p423)) % 0.44/0.89 (step @p463 :rule reordering :premises (@p462) :args ((or @t535 @t538))) % 0.44/0.89 (step @p464 :rule chain_m_resolution :premises (@p463 @p420) :args (@t535 (@list false) (@list @t537))) % 0.44/0.89 (assume-push @p477 @t545) % 0.44/0.89 (assume-push @p478 @t535) % 0.44/0.89 (step @p467 :rule symm :premises (@p464)) % 0.44/0.89 (step @p468 :rule trans :premises (@p416 @p467)) % 0.44/0.89 (step-pop @p479 :rule scope :premises (@p468)) % 0.44/0.89 (step-pop @p480 :rule scope :premises (@p479)) % 0.44/0.89 (step @p469 :rule process_scope :premises (@p480) :args (@t546)) % 0.44/0.89 (step @p472 :rule implies_elim :premises (@p469)) % 0.44/0.89 (step @p473 :rule cnf_and_neg :args (@t547)) % 0.44/0.89 (step @p474 :rule resolution :premises (@p473 @p472) :args (true @t547)) % 0.44/0.89 (step @p475 :rule reordering :premises (@p474) :args ((or @t546 @t539 (not @t545)))) % 0.44/0.89 (step @p476 false :rule chain_m_resolution :premises (@p475 @p464 @p414 @p393) :args (false (@list false false true) (@list @t535 @t545 @t546))) % 0.44/0.89 ) % 0.44/0.89 % SZS output end Proof % 0.44/0.89 % cvc5 exiting %------------------------------------------------------------------------------