%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP031^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:24:50 AM UTC 2026 % Result : Theorem 0.46s 1.01s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP031^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 04:10:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.39/0.61 %----Proving TH0 % 0.46/1.01 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/1.01 % SZS status Theorem % 0.46/1.01 % SZS output start Proof % 0.46/1.01 ( % 0.46/1.01 (declare-sort tptp.a 0) % 0.46/1.01 (declare-sort tptp.int 0) % 0.46/1.01 (declare-sort tptp.binary1439146945Tree_a 0) % 0.46/1.01 (declare-sort tptp.set_a 0) % 0.46/1.01 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.46/1.01 (declare-const tptp.binary945792244etOf_a (-> tptp.binary1439146945Tree_a tptp.set_a)) % 0.46/1.01 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.46/1.01 (declare-const tptp.binary1721989714Tree_a (-> (-> tptp.a tptp.int) tptp.binary1439146945Tree_a Bool)) % 0.46/1.01 (declare-const tptp.minus_minus_o (-> Bool Bool Bool)) % 0.46/1.01 (declare-const tptp.sup_sup_o (-> Bool Bool Bool)) % 0.46/1.01 (declare-const tptp.sup_sup_int (-> tptp.int tptp.int tptp.int)) % 0.46/1.01 (declare-const tptp.bot_bot_o Bool) % 0.46/1.01 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.46/1.01 (declare-const tptp.the_a (-> (-> tptp.a Bool) tptp.a)) % 0.46/1.01 (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.a Bool) (-> tptp.a Bool) Bool)) % 0.46/1.01 (declare-const tptp.minus_minus_int (-> tptp.int tptp.int tptp.int)) % 0.46/1.01 (declare-const tptp.binary256242811Tree_a (-> tptp.binary1439146945Tree_a tptp.set_a)) % 0.46/1.01 (declare-const tptp.h (-> tptp.a tptp.int)) % 0.46/1.01 (declare-const tptp.e tptp.a) % 0.46/1.01 (declare-const tptp.t2 tptp.binary1439146945Tree_a) % 0.46/1.01 (declare-const tptp.binary2053421120memb_a (-> (-> tptp.a tptp.int) tptp.a tptp.binary1439146945Tree_a Bool)) % 0.46/1.01 (declare-const tptp.x tptp.a) % 0.46/1.01 (declare-const tptp.binary1226383794sert_a (-> (-> tptp.a tptp.int) tptp.a tptp.binary1439146945Tree_a tptp.binary1439146945Tree_a)) % 0.46/1.01 (declare-const tptp.binary717961607le_T_a (-> tptp.binary1439146945Tree_a tptp.a tptp.binary1439146945Tree_a tptp.binary1439146945Tree_a)) % 0.46/1.01 (declare-const tptp.binary476621312_Tip_a tptp.binary1439146945Tree_a) % 0.46/1.01 (declare-const tptp.t1 tptp.binary1439146945Tree_a) % 0.46/1.01 (define tptp.binary504661350_eqs_a () (let ((_let_1 (@var "X2" tptp.a))) (let ((_let_2 (@var "H2" (-> tptp.a tptp.int)))) (let ((_let_3 (@var "Y" tptp.a))) (lambda (@list _let_2 _let_1) (_ tptp.collect_a (lambda (@list _let_3) (= (_ _let_2 _let_3) (_ _let_2 _let_1))))))))) % 0.46/1.01 (define tptp.binary670562003pred_a () (let ((_let_1 (@var "B2" tptp.a))) (let ((_let_2 (@var "A2" 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))))))))) % 0.46/1.01 (define tptp.insert_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X2" tptp.a))) (let ((_let_3 (@var "A2" 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))))))))) % 0.46/1.01 (define tptp.sup_sup_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X2" 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)))))))))) % 0.46/1.01 (define tptp.minus_minus_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X2" 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) (and (_ _let_3 _let_4) (not (_ _let_3 _let_1))))))))))) % 0.46/1.01 (define tptp.minus_minus_a_o () (let ((_let_1 (@var "X2" tptp.a))) (let ((_let_2 (@var "B5" (-> tptp.a Bool)))) (let ((_let_3 (@var "A4" (-> tptp.a Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.minus_minus_o (_ _let_3 _let_1)) (_ _let_2 _let_1))))))) % 0.46/1.01 (define tptp.sup_sup_a_o () (let ((_let_1 (@var "X2" 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))))))) % 0.46/1.01 (define tptp.ord_less_a_o () (let ((_let_1 (@var "B2" (-> tptp.a Bool)))) (let ((_let_2 (@var "A2" (-> 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))))))) % 0.46/1.01 (define tptp.ord_less_set_a () (let ((_let_1 (@var "B2" tptp.set_a))) (let ((_let_2 (@var "A2" tptp.set_a))) (lambda (@list _let_1 _let_2) (and (= _let_2 (_ (_ tptp.sup_sup_set_a _let_2) _let_1)) (not (= _let_2 _let_1))))))) % 0.46/1.01 (define tptp.ord_less_int () (let ((_let_1 (@var "B2" tptp.int))) (let ((_let_2 (@var "A2" tptp.int))) (lambda (@list _let_1 _let_2) (and (= _let_2 (_ (_ tptp.sup_sup_int _let_2) _let_1)) (not (= _let_2 _let_1))))))) % 0.46/1.01 (define tptp.bot_bot_a_o () (lambda (@list (@var "X2" tptp.a)) tptp.bot_bot_o)) % 0.46/1.01 (define tptp.the_elem_a () (let ((_let_1 (@var "X2" tptp.a))) (let ((_let_2 (@var "X5" tptp.set_a))) (lambda (@list _let_2) (_ tptp.the_a (lambda (@list _let_1) (= _let_2 (_ (_ tptp.insert_a _let_1) tptp.bot_bot_set_a)))))))) % 0.46/1.01 (define tptp.is_singleton_a () (let ((_let_1 (@var "A4" tptp.set_a))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert_a (_ tptp.the_elem_a _let_1)) tptp.bot_bot_set_a))))) % 0.46/1.01 (define tptp.remove_a () (let ((_let_1 (@var "X2" tptp.a))) (let ((_let_2 (@var "A4" tptp.set_a))) (lambda (@list _let_1 _let_2) (_ (_ tptp.minus_minus_set_a _let_2) (_ (_ tptp.insert_a _let_1) tptp.bot_bot_set_a)))))) % 0.46/1.01 (define tptp.is_empty_a () (let ((_let_1 (@var "A4" tptp.set_a))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_a)))) % 0.46/1.01 (define tptp.if_a () (let ((_let_1 (@var "Y" tptp.a))) (let ((_let_2 (@var "Z4" tptp.a))) (let ((_let_3 (@var "P2" Bool))) (let ((_let_4 (@var "X2" tptp.a))) (lambda (@list _let_3 _let_4 _let_1) (_ tptp.the_a (lambda (@list _let_2) (and (=> _let_3 (= _let_2 _let_4)) (=> (not _let_3) (= _let_2 _let_1))))))))))) % 0.46/1.01 (define tptp.pairwise_a () (let ((_let_1 (@var "Y" tptp.a))) (let ((_let_2 (@var "X2" tptp.a))) (let ((_let_3 (@var "R2" (-> tptp.a tptp.a Bool)))) (let ((_let_4 (@var "S2" tptp.set_a))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member_a _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member_a _let_1) (_ (_ tptp.minus_minus_set_a _let_4) (_ (_ tptp.insert_a _let_2) tptp.bot_bot_set_a))) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.46/1.01 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "Y" tptp.set_a))) (let ((_let_2 (@var "X2" tptp.set_a))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_set_a _let_2) _let_1) (= _let_2 _let_1)))))) % 0.46/1.01 (define tptp.ord_less_eq_int () (let ((_let_1 (@var "Y" tptp.int))) (let ((_let_2 (@var "X2" tptp.int))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_int _let_2) _let_1) (= _let_2 _let_1)))))) % 0.46/1.01 (define @t1 () (_ tptp.h tptp.x)) % 0.46/1.01 (define @t2 () (@var "X" tptp.a)) % 0.46/1.01 (define @t3 () (_ tptp.h @t2)) % 0.46/1.01 (define @t4 () (_ (_ tptp.binary504661350_eqs_a tptp.h) tptp.e)) % 0.46/1.01 (define @t5 () (_ tptp.member_a @t2)) % 0.46/1.01 (define @t6 () (=> (_ @t5 @t4) (_ (_ tptp.ord_less_int @t3) @t1))) % 0.46/1.01 (define @t7 () (@list @t2)) % 0.46/1.01 (define @t8 () (forall @t7 @t6)) % 0.46/1.01 (define @t9 () (_ tptp.h tptp.e)) % 0.46/1.01 (define @t10 () (_ (_ tptp.binary1226383794sert_a tptp.h) tptp.e)) % 0.46/1.01 (define @t11 () (_ @t10 tptp.t1)) % 0.46/1.01 (define @t12 () (_ (_ (_ tptp.binary717961607le_T_a tptp.t1) tptp.x) tptp.t2)) % 0.46/1.01 (define @t13 () (_ tptp.binary1721989714Tree_a tptp.h)) % 0.46/1.01 (define @t14 () (_ @t13 tptp.t1)) % 0.46/1.01 (define @t15 () (_ @t13 tptp.t2)) % 0.46/1.01 (define @t16 () (@var "T" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t17 () (@var "B" tptp.a)) % 0.46/1.01 (define @t18 () (@var "A" tptp.a)) % 0.46/1.01 (define @t19 () (@var "H" (-> tptp.a tptp.int))) % 0.46/1.01 (define @t20 () (_ (_ tptp.insert_a tptp.e) tptp.bot_bot_set_a)) % 0.46/1.01 (define @t21 () (= (_ tptp.binary945792244etOf_a @t11) (_ (_ tptp.sup_sup_set_a (_ (_ tptp.minus_minus_set_a (_ tptp.binary945792244etOf_a tptp.t1)) @t4)) @t20))) % 0.46/1.01 (define @t22 () (= (_ tptp.binary945792244etOf_a (_ @t10 tptp.t2)) (_ (_ tptp.sup_sup_set_a (_ (_ tptp.minus_minus_set_a (_ tptp.binary945792244etOf_a tptp.t2)) @t4)) @t20))) % 0.46/1.01 (define @t23 () (_ tptp.binary945792244etOf_a tptp.binary476621312_Tip_a)) % 0.46/1.01 (define @t24 () (@var "Y23" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t25 () (@var "X23" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t26 () (@var "Y22" tptp.a)) % 0.46/1.01 (define @t27 () (@var "X22" tptp.a)) % 0.46/1.01 (define @t28 () (@var "Y21" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t29 () (@var "X21" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t30 () (_ (_ (_ tptp.binary717961607le_T_a @t29) @t27) @t25)) % 0.46/1.01 (define @t31 () (@var "X3" tptp.a)) % 0.46/1.01 (define @t32 () (_ tptp.insert_a @t31)) % 0.46/1.01 (define @t33 () (_ @t32 tptp.bot_bot_set_a)) % 0.46/1.01 (define @t34 () (@var "T2" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t35 () (_ tptp.binary945792244etOf_a @t34)) % 0.46/1.01 (define @t36 () (@var "T1" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t37 () (_ tptp.binary945792244etOf_a @t36)) % 0.46/1.01 (define @t38 () (_ tptp.binary717961607le_T_a @t36)) % 0.46/1.01 (define @t39 () (_ @t38 @t31)) % 0.46/1.01 (define @t40 () (_ @t39 @t34)) % 0.46/1.01 (define @t41 () (@list @t29 @t27 @t25)) % 0.46/1.01 (define @t42 () (@var "E" tptp.a)) % 0.46/1.01 (define @t43 () (_ (_ tptp.binary1226383794sert_a @t19) @t42)) % 0.46/1.01 (define @t44 () (_ @t43 @t40)) % 0.46/1.01 (define @t45 () (_ @t19 @t42)) % 0.46/1.01 (define @t46 () (_ @t19 @t31)) % 0.46/1.01 (define @t47 () (_ tptp.ord_less_int @t46)) % 0.46/1.01 (define @t48 () (_ @t47 @t45)) % 0.46/1.01 (define @t49 () (_ (_ tptp.ord_less_int @t45) @t46)) % 0.46/1.01 (define @t50 () (_ tptp.binary1721989714Tree_a @t19)) % 0.46/1.01 (define @t51 () (_ @t50 @t34)) % 0.46/1.01 (define @t52 () (@var "X2" tptp.a)) % 0.46/1.01 (define @t53 () (_ @t19 @t52)) % 0.46/1.01 (define @t54 () (_ tptp.member_a @t52)) % 0.46/1.01 (define @t55 () (@list @t52)) % 0.46/1.01 (define @t56 () (_ @t50 @t36)) % 0.46/1.01 (define @t57 () (_ @t50 @t40)) % 0.46/1.01 (define @t58 () (@list @t19 @t36 @t31 @t34)) % 0.46/1.01 (define @t59 () (@var "Tree" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t60 () (@var "P" (-> tptp.binary1439146945Tree_a Bool))) % 0.46/1.01 (define @t61 () (@var "X32" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t62 () (@var "X24" tptp.a)) % 0.46/1.01 (define @t63 () (@var "X1" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t64 () (@var "X232" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t65 () (@var "X222" tptp.a)) % 0.46/1.01 (define @t66 () (@var "X212" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t67 () (@var "Y2" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t68 () (@var "A3" tptp.set_a)) % 0.46/1.01 (define @t69 () (_ tptp.insert_a @t18)) % 0.46/1.01 (define @t70 () (_ @t69 @t68)) % 0.46/1.01 (define @t71 () (_ @t69 tptp.bot_bot_set_a)) % 0.46/1.01 (define @t72 () (_ tptp.minus_minus_set_a @t68)) % 0.46/1.01 (define @t73 () (_ @t72 @t71)) % 0.46/1.01 (define @t74 () (_ @t69 @t73)) % 0.46/1.01 (define @t75 () (@list @t18 @t68)) % 0.46/1.01 (define @t76 () (= @t52 @t18)) % 0.46/1.01 (define @t77 () (lambda @t55 @t76)) % 0.46/1.01 (define @t78 () (@list @t18)) % 0.46/1.01 (define @t79 () (@var "Z" tptp.a)) % 0.46/1.01 (define @t80 () (@var "Y3" tptp.a)) % 0.46/1.01 (define @t81 () (lambda (@list @t80 @t79) (= @t80 @t79))) % 0.46/1.01 (define @t82 () (@var "B3" tptp.set_a)) % 0.46/1.01 (define @t83 () (_ tptp.sup_sup_set_a @t68)) % 0.46/1.01 (define @t84 () (_ @t83 @t82)) % 0.46/1.01 (define @t85 () (_ tptp.minus_minus_set_a @t82)) % 0.46/1.01 (define @t86 () (_ @t85 @t68)) % 0.46/1.01 (define @t87 () (@list @t68 @t82)) % 0.46/1.01 (define @t88 () (_ tptp.sup_sup_set_a @t82)) % 0.46/1.01 (define @t89 () (_ @t72 @t82)) % 0.46/1.01 (define @t90 () (_ @t32 @t82)) % 0.46/1.01 (define @t91 () (_ tptp.member_a @t31)) % 0.46/1.01 (define @t92 () (_ @t91 @t68)) % 0.46/1.01 (define @t93 () (not @t92)) % 0.46/1.01 (define @t94 () (@list @t31 @t68 @t82)) % 0.46/1.01 (define @t95 () (_ @t32 @t68)) % 0.46/1.01 (define @t96 () (_ tptp.minus_minus_set_a @t95)) % 0.46/1.01 (define @t97 () (_ @t96 @t82)) % 0.46/1.01 (define @t98 () (_ @t91 @t82)) % 0.46/1.01 (define @t99 () (=> @t98 (= @t97 @t89))) % 0.46/1.01 (define @t100 () (@list @t31 @t82 @t68)) % 0.46/1.01 (define @t101 () (@var "C" tptp.set_a)) % 0.46/1.01 (define @t102 () (_ @t88 @t101)) % 0.46/1.01 (define @t103 () (_ @t69 @t82)) % 0.46/1.01 (define @t104 () (@list @t68 @t18 @t82)) % 0.46/1.01 (define @t105 () (@list @t68)) % 0.46/1.01 (define @t106 () (@var "P" (-> tptp.a Bool))) % 0.46/1.01 (define @t107 () (_ @t106 @t52)) % 0.46/1.01 (define @t108 () (forall @t55 (not @t107))) % 0.46/1.01 (define @t109 () (_ tptp.collect_a @t106)) % 0.46/1.01 (define @t110 () (@list @t106)) % 0.46/1.01 (define @t111 () (= @t109 tptp.bot_bot_set_a)) % 0.46/1.01 (define @t112 () (= @t68 tptp.bot_bot_set_a)) % 0.46/1.01 (define @t113 () (_ @t54 @t68)) % 0.46/1.01 (define @t114 () (@var "C2" tptp.a)) % 0.46/1.01 (define @t115 () (_ tptp.member_a @t114)) % 0.46/1.01 (define @t116 () (@list @t31 @t68)) % 0.46/1.01 (define @t117 () (_ tptp.member_a @t18)) % 0.46/1.01 (define @t118 () (_ @t117 @t68)) % 0.46/1.01 (define @t119 () (= @t18 @t17)) % 0.46/1.01 (define @t120 () (_ tptp.insert_a @t17)) % 0.46/1.01 (define @t121 () (_ @t117 (_ @t120 @t68))) % 0.46/1.01 (define @t122 () (@list @t18 @t17 @t68)) % 0.46/1.01 (define @t123 () (_ @t120 @t82)) % 0.46/1.01 (define @t124 () (_ @t117 @t123)) % 0.46/1.01 (define @t125 () (_ @t117 @t82)) % 0.46/1.01 (define @t126 () (@list @t18 @t82 @t17)) % 0.46/1.01 (define @t127 () (_ @t115 @t82)) % 0.46/1.01 (define @t128 () (_ @t115 @t68)) % 0.46/1.01 (define @t129 () (_ @t115 @t84)) % 0.46/1.01 (define @t130 () (@list @t114 @t68 @t82)) % 0.46/1.01 (define @t131 () (_ @t106 @t18)) % 0.46/1.01 (define @t132 () (@list @t18 @t106)) % 0.46/1.01 (define @t133 () (@var "Q" (-> tptp.a Bool))) % 0.46/1.01 (define @t134 () (_ tptp.collect_a @t133)) % 0.46/1.01 (define @t135 () (@var "X4" tptp.a)) % 0.46/1.01 (define @t136 () (_ @t133 @t135)) % 0.46/1.01 (define @t137 () (_ @t106 @t135)) % 0.46/1.01 (define @t138 () (@list @t135)) % 0.46/1.01 (define @t139 () (@list @t106 @t133)) % 0.46/1.01 (define @t140 () (not @t127)) % 0.46/1.01 (define @t141 () (@list @t114 @t82 @t68)) % 0.46/1.01 (define @t142 () (_ tptp.minus_minus_set_a @t89)) % 0.46/1.01 (define @t143 () (_ @t115 @t89)) % 0.46/1.01 (define @t144 () (= @t82 tptp.bot_bot_set_a)) % 0.46/1.01 (define @t145 () (not @t112)) % 0.46/1.01 (define @t146 () (@var "Y4" tptp.a)) % 0.46/1.01 (define @t147 () (_ (_ tptp.member_a @t146) @t68)) % 0.46/1.01 (define @t148 () (@list @t146)) % 0.46/1.01 (define @t149 () (not @t118)) % 0.46/1.01 (define @t150 () (@var "B4" tptp.set_a)) % 0.46/1.01 (define @t151 () (@list @t150)) % 0.46/1.01 (define @t152 () (@var "Y2" tptp.a)) % 0.46/1.01 (define @t153 () (_ tptp.insert_a @t152)) % 0.46/1.01 (define @t154 () (@list @t31 @t152 @t68)) % 0.46/1.01 (define @t155 () (@var "C3" tptp.set_a)) % 0.46/1.01 (define @t156 () (_ tptp.member_a @t17)) % 0.46/1.01 (define @t157 () (not @t119)) % 0.46/1.01 (define @t158 () (= @t68 @t82)) % 0.46/1.01 (define @t159 () (not @t98)) % 0.46/1.01 (define @t160 () (_ @t83 @t102)) % 0.46/1.01 (define @t161 () (@list @t68 @t82 @t101)) % 0.46/1.01 (define @t162 () (@var "A4" tptp.set_a)) % 0.46/1.01 (define @t163 () (@var "B5" tptp.set_a)) % 0.46/1.01 (define @t164 () (@list @t162 @t163)) % 0.46/1.01 (define @t165 () (_ @t54 @t82)) % 0.46/1.01 (define @t166 () (_ @t54 @t84)) % 0.46/1.01 (define @t167 () (@list @t68 @t82 @t106)) % 0.46/1.01 (define @t168 () (=> @t128 @t127)) % 0.46/1.01 (define @t169 () (@var "U" tptp.a)) % 0.46/1.01 (define @t170 () (_ @t120 tptp.bot_bot_set_a)) % 0.46/1.01 (define @t171 () (@var "D" tptp.a)) % 0.46/1.01 (define @t172 () (= @t17 @t18)) % 0.46/1.01 (define @t173 () (_ @t156 @t71)) % 0.46/1.01 (define @t174 () (@list @t17 @t18)) % 0.46/1.01 (define @t175 () (_ tptp.sup_sup_set_a tptp.bot_bot_set_a)) % 0.46/1.01 (define @t176 () (_ tptp.collect_a (lambda @t55 (and (= @t18 @t52) @t107)))) % 0.46/1.01 (define @t177 () (not @t131)) % 0.46/1.01 (define @t178 () (@list @t106 @t18)) % 0.46/1.01 (define @t179 () (_ tptp.collect_a (lambda @t55 (and @t76 @t107)))) % 0.46/1.01 (define @t180 () (@var "__flatten_var_0" tptp.set_a)) % 0.46/1.01 (define @t181 () (@var "A2" tptp.a)) % 0.46/1.01 (define @t182 () (= @t52 @t181)) % 0.46/1.01 (define @t183 () (@list @t181 @t180)) % 0.46/1.01 (define @t184 () (= @t82 @t33)) % 0.46/1.01 (define @t185 () (= @t68 @t33)) % 0.46/1.01 (define @t186 () (or (and @t112 @t184) (and @t185 @t144) (and @t185 @t184))) % 0.46/1.01 (define @t187 () (_ @t72 @t103)) % 0.46/1.01 (define @t188 () (@var "A" (-> tptp.a Bool))) % 0.46/1.01 (define @t189 () (_ tptp.sup_sup_a_o @t188)) % 0.46/1.01 (define @t190 () (@list @t188)) % 0.46/1.01 (define @t191 () (@var "A" tptp.set_a)) % 0.46/1.01 (define @t192 () (_ tptp.sup_sup_set_a @t191)) % 0.46/1.01 (define @t193 () (@list @t191)) % 0.46/1.01 (define @t194 () (@var "B" (-> tptp.a Bool))) % 0.46/1.01 (define @t195 () (= @t188 tptp.bot_bot_a_o)) % 0.46/1.01 (define @t196 () (and @t195 (= @t194 tptp.bot_bot_a_o))) % 0.46/1.01 (define @t197 () (_ @t189 @t194)) % 0.46/1.01 (define @t198 () (@list @t188 @t194)) % 0.46/1.01 (define @t199 () (@var "B" tptp.set_a)) % 0.46/1.01 (define @t200 () (= @t191 tptp.bot_bot_set_a)) % 0.46/1.01 (define @t201 () (and @t200 (= @t199 tptp.bot_bot_set_a))) % 0.46/1.01 (define @t202 () (_ @t192 @t199)) % 0.46/1.01 (define @t203 () (@list @t191 @t199)) % 0.46/1.01 (define @t204 () (_ tptp.sup_sup_a_o tptp.bot_bot_a_o)) % 0.46/1.01 (define @t205 () (@var "Y2" (-> tptp.a Bool))) % 0.46/1.01 (define @t206 () (@var "X3" (-> tptp.a Bool))) % 0.46/1.01 (define @t207 () (and (= @t206 tptp.bot_bot_a_o) (= @t205 tptp.bot_bot_a_o))) % 0.46/1.01 (define @t208 () (_ tptp.sup_sup_a_o @t206)) % 0.46/1.01 (define @t209 () (_ @t208 @t205)) % 0.46/1.01 (define @t210 () (@list @t206 @t205)) % 0.46/1.01 (define @t211 () (@var "Y2" tptp.set_a)) % 0.46/1.01 (define @t212 () (@var "X3" tptp.set_a)) % 0.46/1.01 (define @t213 () (and (= @t212 tptp.bot_bot_set_a) (= @t211 tptp.bot_bot_set_a))) % 0.46/1.01 (define @t214 () (_ tptp.sup_sup_set_a @t212)) % 0.46/1.01 (define @t215 () (_ @t214 @t211)) % 0.46/1.01 (define @t216 () (@list @t212 @t211)) % 0.46/1.01 (define @t217 () (@list @t206)) % 0.46/1.01 (define @t218 () (@list @t212)) % 0.46/1.01 (define @t219 () (@var "A" tptp.int)) % 0.46/1.01 (define @t220 () (_ tptp.sup_sup_int @t219)) % 0.46/1.01 (define @t221 () (@list @t219)) % 0.46/1.01 (define @t222 () (@var "X3" tptp.int)) % 0.46/1.01 (define @t223 () (_ tptp.sup_sup_int @t222)) % 0.46/1.01 (define @t224 () (@list @t222)) % 0.46/1.01 (define @t225 () (@var "B" tptp.int)) % 0.46/1.01 (define @t226 () (_ @t220 @t225)) % 0.46/1.01 (define @t227 () (@list @t219 @t225)) % 0.46/1.01 (define @t228 () (@var "Y2" tptp.int)) % 0.46/1.01 (define @t229 () (_ @t223 @t228)) % 0.46/1.01 (define @t230 () (@list @t222 @t228)) % 0.46/1.01 (define @t231 () (_ tptp.sup_sup_a_o @t197)) % 0.46/1.01 (define @t232 () (_ tptp.sup_sup_int @t226)) % 0.46/1.01 (define @t233 () (_ tptp.sup_sup_set_a @t202)) % 0.46/1.01 (define @t234 () (_ @t54 @t163)) % 0.46/1.01 (define @t235 () (lambda @t55 @t234)) % 0.46/1.01 (define @t236 () (_ @t54 @t162)) % 0.46/1.01 (define @t237 () (lambda @t55 @t236)) % 0.46/1.01 (define @t238 () (@var "Z2" (-> tptp.a Bool))) % 0.46/1.01 (define @t239 () (_ tptp.sup_sup_a_o @t205)) % 0.46/1.01 (define @t240 () (_ @t208 (_ @t239 @t238))) % 0.46/1.01 (define @t241 () (@list @t206 @t205 @t238)) % 0.46/1.01 (define @t242 () (@var "Z2" tptp.int)) % 0.46/1.01 (define @t243 () (_ tptp.sup_sup_int @t228)) % 0.46/1.01 (define @t244 () (_ @t223 (_ @t243 @t242))) % 0.46/1.01 (define @t245 () (@list @t222 @t228 @t242)) % 0.46/1.01 (define @t246 () (@var "Z2" tptp.set_a)) % 0.46/1.01 (define @t247 () (_ tptp.sup_sup_set_a @t211)) % 0.46/1.01 (define @t248 () (_ @t214 (_ @t247 @t246))) % 0.46/1.01 (define @t249 () (@list @t212 @t211 @t246)) % 0.46/1.01 (define @t250 () (@var "__flatten_var_0" tptp.a)) % 0.46/1.01 (define @t251 () (@var "X2" (-> tptp.a Bool))) % 0.46/1.01 (define @t252 () (@var "Y" (-> tptp.a Bool))) % 0.46/1.01 (define @t253 () (@var "X2" tptp.int)) % 0.46/1.01 (define @t254 () (@var "Y" tptp.int)) % 0.46/1.01 (define @t255 () (@list @t253 @t254)) % 0.46/1.01 (define @t256 () (@var "X2" tptp.set_a)) % 0.46/1.01 (define @t257 () (@var "Y" tptp.set_a)) % 0.46/1.01 (define @t258 () (@list @t256 @t257)) % 0.46/1.01 (define @t259 () (@var "K" (-> tptp.a Bool))) % 0.46/1.01 (define @t260 () (_ tptp.sup_sup_a_o @t259)) % 0.46/1.01 (define @t261 () (_ @t260 @t197)) % 0.46/1.01 (define @t262 () (@var "A3" (-> tptp.a Bool))) % 0.46/1.01 (define @t263 () (_ tptp.sup_sup_a_o @t262)) % 0.46/1.01 (define @t264 () (@var "K" tptp.int)) % 0.46/1.01 (define @t265 () (_ tptp.sup_sup_int @t264)) % 0.46/1.01 (define @t266 () (_ @t265 @t226)) % 0.46/1.01 (define @t267 () (@var "A3" tptp.int)) % 0.46/1.01 (define @t268 () (@var "K" tptp.set_a)) % 0.46/1.01 (define @t269 () (_ tptp.sup_sup_set_a @t268)) % 0.46/1.01 (define @t270 () (_ @t269 @t202)) % 0.46/1.01 (define @t271 () (@var "B3" (-> tptp.a Bool))) % 0.46/1.01 (define @t272 () (@var "B3" tptp.int)) % 0.46/1.01 (define @t273 () (@var "C2" (-> tptp.a Bool))) % 0.46/1.01 (define @t274 () (_ tptp.sup_sup_a_o @t194)) % 0.46/1.01 (define @t275 () (_ @t274 @t273)) % 0.46/1.01 (define @t276 () (_ @t189 @t275)) % 0.46/1.01 (define @t277 () (@var "C2" tptp.int)) % 0.46/1.01 (define @t278 () (_ tptp.sup_sup_int @t225)) % 0.46/1.01 (define @t279 () (_ @t278 @t277)) % 0.46/1.01 (define @t280 () (_ @t220 @t279)) % 0.46/1.01 (define @t281 () (@list @t219 @t225 @t277)) % 0.46/1.01 (define @t282 () (@var "C2" tptp.set_a)) % 0.46/1.01 (define @t283 () (_ tptp.sup_sup_set_a @t199)) % 0.46/1.01 (define @t284 () (_ @t283 @t282)) % 0.46/1.01 (define @t285 () (_ @t192 @t284)) % 0.46/1.01 (define @t286 () (@list @t191 @t199 @t282)) % 0.46/1.01 (define @t287 () (@var "A2" (-> tptp.a Bool))) % 0.46/1.01 (define @t288 () (@var "B2" (-> tptp.a Bool))) % 0.46/1.01 (define @t289 () (@var "A2" tptp.int)) % 0.46/1.01 (define @t290 () (@var "B2" tptp.int)) % 0.46/1.01 (define @t291 () (@var "A2" tptp.set_a)) % 0.46/1.01 (define @t292 () (@var "B2" tptp.set_a)) % 0.46/1.01 (define @t293 () (@list @t225 @t219 @t277)) % 0.46/1.01 (define @t294 () (@list @t199 @t191 @t282)) % 0.46/1.01 (define @t295 () (_ tptp.ord_less_a_o @t206)) % 0.46/1.01 (define @t296 () (_ @t295 @t197)) % 0.46/1.01 (define @t297 () (_ tptp.ord_less_set_a @t212)) % 0.46/1.01 (define @t298 () (_ @t297 @t202)) % 0.46/1.01 (define @t299 () (_ tptp.ord_less_int @t222)) % 0.46/1.01 (define @t300 () (_ @t299 @t226)) % 0.46/1.01 (define @t301 () (_ tptp.ord_less_a_o @t273)) % 0.46/1.01 (define @t302 () (_ @t301 @t188)) % 0.46/1.01 (define @t303 () (@list @t194 @t273 @t188)) % 0.46/1.01 (define @t304 () (_ tptp.ord_less_set_a @t282)) % 0.46/1.01 (define @t305 () (_ @t304 @t191)) % 0.46/1.01 (define @t306 () (_ tptp.ord_less_set_a @t199)) % 0.46/1.01 (define @t307 () (_ @t306 @t191)) % 0.46/1.01 (define @t308 () (@list @t199 @t282 @t191)) % 0.46/1.01 (define @t309 () (_ tptp.ord_less_int @t277)) % 0.46/1.01 (define @t310 () (_ @t309 @t219)) % 0.46/1.01 (define @t311 () (_ tptp.ord_less_int @t225)) % 0.46/1.01 (define @t312 () (_ @t311 @t219)) % 0.46/1.01 (define @t313 () (@list @t225 @t277 @t219)) % 0.46/1.01 (define @t314 () (_ @t301 @t197)) % 0.46/1.01 (define @t315 () (_ @t304 @t202)) % 0.46/1.01 (define @t316 () (_ @t309 @t226)) % 0.46/1.01 (define @t317 () (_ @t304 @t199)) % 0.46/1.01 (define @t318 () (_ @t309 @t225)) % 0.46/1.01 (define @t319 () (@list @t31)) % 0.46/1.01 (define @t320 () (@var "D" tptp.int)) % 0.46/1.01 (define @t321 () (_ tptp.minus_minus_int @t225)) % 0.46/1.01 (define @t322 () (_ tptp.minus_minus_int @t219)) % 0.46/1.01 (define @t323 () (_ @t322 @t277)) % 0.46/1.01 (define @t324 () (_ tptp.ord_less_int @t323)) % 0.46/1.01 (define @t325 () (_ tptp.ord_less_int @t219)) % 0.46/1.01 (define @t326 () (_ @t325 @t225)) % 0.46/1.01 (define @t327 () (_ (_ @t263 @t271) @t31)) % 0.46/1.01 (define @t328 () (_ @t262 @t31)) % 0.46/1.01 (define @t329 () (_ @t271 @t31)) % 0.46/1.01 (define @t330 () (@list @t271 @t31 @t262)) % 0.46/1.01 (define @t331 () (_ tptp.ord_less_set_a @t68)) % 0.46/1.01 (define @t332 () (@var "B6" tptp.a)) % 0.46/1.01 (define @t333 () (_ @t331 @t82)) % 0.46/1.01 (define @t334 () (_ tptp.is_singleton_a @t68)) % 0.46/1.01 (define @t335 () (_ tptp.member_a @t135)) % 0.46/1.01 (define @t336 () (_ @t335 @t68)) % 0.46/1.01 (define @t337 () (= @t191 @t199)) % 0.46/1.01 (define @t338 () (not @t337)) % 0.46/1.01 (define @t339 () (@list @t199 @t191)) % 0.46/1.01 (define @t340 () (= @t219 @t225)) % 0.46/1.01 (define @t341 () (not @t340)) % 0.46/1.01 (define @t342 () (@list @t225 @t219)) % 0.46/1.01 (define @t343 () (_ tptp.ord_less_set_a @t191)) % 0.46/1.01 (define @t344 () (_ @t343 @t199)) % 0.46/1.01 (define @t345 () (= @t222 @t228)) % 0.46/1.01 (define @t346 () (_ tptp.ord_less_int @t228)) % 0.46/1.01 (define @t347 () (_ @t346 @t222)) % 0.46/1.01 (define @t348 () (_ @t299 @t228)) % 0.46/1.01 (define @t349 () (not @t348)) % 0.46/1.01 (define @t350 () (@var "P" (-> tptp.int tptp.int Bool))) % 0.46/1.01 (define @t351 () (@var "B6" tptp.int)) % 0.46/1.01 (define @t352 () (@var "A5" tptp.int)) % 0.46/1.01 (define @t353 () (_ @t350 @t352)) % 0.46/1.01 (define @t354 () (_ @t353 @t351)) % 0.46/1.01 (define @t355 () (@list @t352 @t351)) % 0.46/1.01 (define @t356 () (_ tptp.ord_less_set_a @t211)) % 0.46/1.01 (define @t357 () (_ @t356 @t212)) % 0.46/1.01 (define @t358 () (_ @t297 @t211)) % 0.46/1.01 (define @t359 () (not @t347)) % 0.46/1.01 (define @t360 () (_ @t343 @t282)) % 0.46/1.01 (define @t361 () (_ @t306 @t282)) % 0.46/1.01 (define @t362 () (=> @t361 @t360)) % 0.46/1.01 (define @t363 () (_ @t325 @t277)) % 0.46/1.01 (define @t364 () (_ @t311 @t277)) % 0.46/1.01 (define @t365 () (=> @t364 @t363)) % 0.46/1.01 (define @t366 () (not @t345)) % 0.46/1.01 (define @t367 () (@var "P" Bool)) % 0.46/1.01 (define @t368 () (= @t349 @t345)) % 0.46/1.01 (define @t369 () (@list @t228 @t222)) % 0.46/1.01 (define @t370 () (@var "X_1" tptp.int)) % 0.46/1.01 (define @t371 () (@var "Y4" tptp.int)) % 0.46/1.01 (define @t372 () (@var "F2" (-> tptp.int tptp.set_a))) % 0.46/1.01 (define @t373 () (_ (_ tptp.ord_less_set_a (_ @t372 @t219)) @t282)) % 0.46/1.01 (define @t374 () (_ @t372 @t371)) % 0.46/1.01 (define @t375 () (@var "X4" tptp.int)) % 0.46/1.01 (define @t376 () (_ @t372 @t375)) % 0.46/1.01 (define @t377 () (_ (_ tptp.ord_less_int @t375) @t371)) % 0.46/1.01 (define @t378 () (@list @t375 @t371)) % 0.46/1.01 (define @t379 () (forall @t378 (=> @t377 (_ (_ tptp.ord_less_set_a @t376) @t374)))) % 0.46/1.01 (define @t380 () (=> @t379 @t373)) % 0.46/1.01 (define @t381 () (_ @t372 @t225)) % 0.46/1.01 (define @t382 () (_ (_ tptp.ord_less_set_a @t381) @t282)) % 0.46/1.01 (define @t383 () (@list @t219 @t225 @t372 @t282)) % 0.46/1.01 (define @t384 () (@var "F2" (-> tptp.set_a tptp.int))) % 0.46/1.01 (define @t385 () (_ (_ tptp.ord_less_int (_ @t384 @t191)) @t277)) % 0.46/1.01 (define @t386 () (@var "Y4" tptp.set_a)) % 0.46/1.01 (define @t387 () (_ @t384 @t386)) % 0.46/1.01 (define @t388 () (@var "X4" tptp.set_a)) % 0.46/1.01 (define @t389 () (_ @t384 @t388)) % 0.46/1.01 (define @t390 () (_ (_ tptp.ord_less_set_a @t388) @t386)) % 0.46/1.01 (define @t391 () (@list @t388 @t386)) % 0.46/1.01 (define @t392 () (forall @t391 (=> @t390 (_ (_ tptp.ord_less_int @t389) @t387)))) % 0.46/1.01 (define @t393 () (=> @t392 @t385)) % 0.46/1.01 (define @t394 () (_ @t384 @t199)) % 0.46/1.01 (define @t395 () (_ (_ tptp.ord_less_int @t394) @t277)) % 0.46/1.01 (define @t396 () (@list @t191 @t199 @t384 @t277)) % 0.46/1.01 (define @t397 () (@var "F2" (-> tptp.set_a tptp.set_a))) % 0.46/1.01 (define @t398 () (_ (_ tptp.ord_less_set_a (_ @t397 @t191)) @t282)) % 0.46/1.01 (define @t399 () (_ @t397 @t386)) % 0.46/1.01 (define @t400 () (_ @t397 @t388)) % 0.46/1.01 (define @t401 () (forall @t391 (=> @t390 (_ (_ tptp.ord_less_set_a @t400) @t399)))) % 0.46/1.01 (define @t402 () (=> @t401 @t398)) % 0.46/1.01 (define @t403 () (_ @t397 @t199)) % 0.46/1.01 (define @t404 () (_ (_ tptp.ord_less_set_a @t403) @t282)) % 0.46/1.01 (define @t405 () (@list @t191 @t199 @t397 @t282)) % 0.46/1.01 (define @t406 () (@var "F2" (-> tptp.int tptp.int))) % 0.46/1.01 (define @t407 () (_ (_ tptp.ord_less_int (_ @t406 @t219)) @t277)) % 0.46/1.01 (define @t408 () (_ @t406 @t371)) % 0.46/1.01 (define @t409 () (_ @t406 @t375)) % 0.46/1.01 (define @t410 () (forall @t378 (=> @t377 (_ (_ tptp.ord_less_int @t409) @t408)))) % 0.46/1.01 (define @t411 () (=> @t410 @t407)) % 0.46/1.01 (define @t412 () (_ @t406 @t225)) % 0.46/1.01 (define @t413 () (_ (_ tptp.ord_less_int @t412) @t277)) % 0.46/1.01 (define @t414 () (@list @t219 @t225 @t406 @t277)) % 0.46/1.01 (define @t415 () (_ @t325 (_ @t384 @t282))) % 0.46/1.01 (define @t416 () (=> @t361 (=> @t392 @t415))) % 0.46/1.01 (define @t417 () (_ @t325 @t394)) % 0.46/1.01 (define @t418 () (@list @t219 @t384 @t199 @t282)) % 0.46/1.01 (define @t419 () (_ @t343 (_ @t372 @t277))) % 0.46/1.01 (define @t420 () (=> @t364 (=> @t379 @t419))) % 0.46/1.01 (define @t421 () (_ @t343 @t381)) % 0.46/1.01 (define @t422 () (@list @t191 @t372 @t225 @t277)) % 0.46/1.01 (define @t423 () (=> @t361 (=> @t401 (_ @t343 (_ @t397 @t282))))) % 0.46/1.01 (define @t424 () (@list @t191 @t397 @t199 @t282)) % 0.46/1.01 (define @t425 () (_ @t325 (_ @t406 @t277))) % 0.46/1.01 (define @t426 () (=> @t364 (=> @t410 @t425))) % 0.46/1.01 (define @t427 () (_ @t325 @t412)) % 0.46/1.01 (define @t428 () (@list @t219 @t406 @t225 @t277)) % 0.46/1.01 (define @t429 () (_ @t322 @t225)) % 0.46/1.01 (define @t430 () (_ tptp.minus_minus_int @t277)) % 0.46/1.01 (define @t431 () (= @t429 (_ @t430 @t320))) % 0.46/1.01 (define @t432 () (@list @t219 @t225 @t277 @t320)) % 0.46/1.01 (define @t433 () (_ (_ tptp.insert_a @t52) tptp.bot_bot_set_a)) % 0.46/1.01 (define @t434 () (@list @t162)) % 0.46/1.01 (define @t435 () (@var "S" tptp.set_a)) % 0.46/1.01 (define @t436 () (@var "R" tptp.set_a)) % 0.46/1.01 (define @t437 () (_ tptp.binary256242811Tree_a @t25)) % 0.46/1.01 (define @t438 () (_ tptp.binary256242811Tree_a @t29)) % 0.46/1.01 (define @t439 () (_ tptp.binary256242811Tree_a @t30)) % 0.46/1.01 (define @t440 () (@var "Ya" tptp.a)) % 0.46/1.01 (define @t441 () (_ tptp.member_a @t440)) % 0.46/1.01 (define @t442 () (_ tptp.member_a @t152)) % 0.46/1.01 (define @t443 () (@var "Z3" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t444 () (_ tptp.member_a @t42)) % 0.46/1.01 (define @t445 () (@var "Z22" tptp.a)) % 0.46/1.01 (define @t446 () (@var "Z1" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t447 () (_ tptp.binary717961607le_T_a @t446)) % 0.46/1.01 (define @t448 () (@var "A" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t449 () (= @t448 (_ (_ @t447 @t445) @t443))) % 0.46/1.01 (define @t450 () (_ tptp.the_a @t106)) % 0.46/1.01 (define @t451 () (= @t450 @t18)) % 0.46/1.01 (define @t452 () (forall @t138 (=> @t137 (= @t135 @t18)))) % 0.46/1.01 (define @t453 () (_ @t106 @t450)) % 0.46/1.01 (define @t454 () (exists @t7 (and (_ @t106 @t2) (forall @t148 (=> (_ @t106 @t146) (= @t146 @t2)))))) % 0.46/1.01 (define @t455 () (=> (forall @t138 (=> @t137 @t136)) (_ @t133 @t450))) % 0.46/1.01 (define @t456 () (_ tptp.ord_less_eq_set_a @t68)) % 0.46/1.01 (define @t457 () (_ @t456 @t82)) % 0.46/1.01 (define @t458 () (_ tptp.ord_less_eq_set_a @t212)) % 0.46/1.01 (define @t459 () (_ tptp.ord_less_eq_int @t222)) % 0.46/1.01 (define @t460 () (_ tptp.ord_less_eq_set_a @t82)) % 0.46/1.01 (define @t461 () (_ tptp.ord_less_eq_int @t225)) % 0.46/1.01 (define @t462 () (_ tptp.ord_less_eq_set_a @t199)) % 0.46/1.01 (define @t463 () (_ tptp.ord_less_eq_int @t228)) % 0.46/1.01 (define @t464 () (_ tptp.ord_less_eq_set_a @t211)) % 0.46/1.01 (define @t465 () (and @t119 (_ @t456 @t170))) % 0.46/1.01 (define @t466 () (_ @t463 @t222)) % 0.46/1.01 (define @t467 () (= @t256 @t257)) % 0.46/1.01 (define @t468 () (= @t253 @t254)) % 0.46/1.01 (define @t469 () (_ tptp.ord_less_eq_set_a @t191)) % 0.46/1.01 (define @t470 () (_ tptp.ord_less_eq_int @t219)) % 0.46/1.01 (define @t471 () (_ (_ tptp.ord_less_eq_set_a @t388) @t386)) % 0.46/1.01 (define @t472 () (_ @t469 @t199)) % 0.46/1.01 (define @t473 () (forall @t391 (=> @t471 (_ (_ tptp.ord_less_eq_int @t389) @t387)))) % 0.46/1.01 (define @t474 () (_ (_ tptp.ord_less_eq_int @t375) @t371)) % 0.46/1.01 (define @t475 () (forall @t378 (=> @t474 (_ (_ tptp.ord_less_eq_set_a @t376) @t374)))) % 0.46/1.01 (define @t476 () (_ @t470 @t225)) % 0.46/1.01 (define @t477 () (forall @t378 (=> @t474 (_ (_ tptp.ord_less_eq_int @t409) @t408)))) % 0.46/1.01 (define @t478 () (_ @t461 @t277)) % 0.46/1.01 (define @t479 () (_ @t459 @t228)) % 0.46/1.01 (define @t480 () (@list @t31 @t152)) % 0.46/1.01 (define @t481 () (_ tptp.h @t135)) % 0.46/1.01 (define @t482 () (not (= @t481 @t1))) % 0.46/1.01 (define @t483 () (=> (_ @t335 @t4) @t482)) % 0.46/1.01 (define @t484 () (forall @t138 @t483)) % 0.46/1.01 (define @t485 () (not @t484)) % 0.46/1.01 (define @t486 () (@var "H2" (-> tptp.a tptp.int))) % 0.46/1.01 (define @t487 () (@var "Y" tptp.a)) % 0.46/1.01 (define @t488 () (@list @t487)) % 0.46/1.01 (define @t489 () (lambda (@list @t486 @t52) (_ tptp.collect_a (lambda @t488 (= (_ @t486 @t487) (_ @t486 @t52)))))) % 0.46/1.01 (define @t490 () (@var "B2" tptp.a)) % 0.46/1.01 (define @t491 () (@var "T3" tptp.binary1439146945Tree_a)) % 0.46/1.01 (define @t492 () (_ tptp.binary945792244etOf_a @t491)) % 0.46/1.01 (define @t493 () (lambda (@list @t486 @t181 @t490 @t491) (=> (and (_ (_ tptp.binary1721989714Tree_a @t486) @t491) (_ (_ tptp.member_a @t181) @t492) (_ (_ tptp.member_a @t490) @t492) (= (_ @t486 @t181) (_ @t486 @t490))) (= @t181 @t490)))) % 0.46/1.01 (define @t494 () (lambda (@list @t181 @t163) (_ tptp.collect_a (lambda @t55 (or @t182 @t234))))) % 0.46/1.01 (define @t495 () (lambda @t164 (_ tptp.collect_a (lambda @t55 (or @t236 @t234))))) % 0.46/1.01 (define @t496 () (lambda @t164 (_ tptp.collect_a (lambda @t55 (and @t236 (not @t234)))))) % 0.46/1.01 (define @t497 () (@var "B5" (-> tptp.a Bool))) % 0.46/1.01 (define @t498 () (@var "A4" (-> tptp.a Bool))) % 0.46/1.01 (define @t499 () (lambda (@list @t498 @t497 @t52) (_ (_ tptp.minus_minus_o (_ @t498 @t52)) (_ @t497 @t52)))) % 0.46/1.01 (define @t500 () (@var "G" (-> tptp.a Bool))) % 0.46/1.01 (define @t501 () (@var "F" (-> tptp.a Bool))) % 0.46/1.01 (define @t502 () (lambda (@list @t501 @t500 @t52) (_ (_ tptp.sup_sup_o (_ @t501 @t52)) (_ @t500 @t52)))) % 0.46/1.01 (define @t503 () (lambda (@list @t288 @t287) (and (= @t287 (_ (_ tptp.sup_sup_a_o @t287) @t288)) (not (= @t287 @t288))))) % 0.46/1.01 (define @t504 () (lambda (@list @t292 @t291) (and (= @t291 (_ (_ tptp.sup_sup_set_a @t291) @t292)) (not (= @t291 @t292))))) % 0.46/1.01 (define @t505 () (_ tptp.sup_sup_int @t289)) % 0.46/1.01 (define @t506 () (lambda (@list @t290 @t289) (and (= @t289 (_ @t505 @t290)) (not (= @t289 @t290))))) % 0.46/1.01 (define @t507 () (lambda @t55 tptp.bot_bot_o)) % 0.46/1.01 (define @t508 () (lambda @t434 (= @t162 (_ (_ tptp.insert_a (_ tptp.the_elem_a @t162)) tptp.bot_bot_set_a)))) % 0.46/1.01 (define @t509 () (lambda (@list @t52 @t162) (_ (_ tptp.minus_minus_set_a @t162) @t433))) % 0.46/1.01 (define @t510 () (lambda @t434 (= @t162 tptp.bot_bot_set_a))) % 0.46/1.01 (define @t511 () (@var "X5" tptp.set_a)) % 0.46/1.01 (define @t512 () (lambda (@list @t511) (_ tptp.the_a (lambda @t55 (= @t511 @t433))))) % 0.46/1.01 (define @t513 () (@var "Z4" tptp.a)) % 0.46/1.01 (define @t514 () (@var "P2" Bool)) % 0.46/1.01 (define @t515 () (lambda (@list @t514 @t52 @t487) (_ tptp.the_a (lambda (@list @t513) (and (=> @t514 (= @t513 @t52)) (=> (not @t514) (= @t513 @t487))))))) % 0.46/1.01 (define @t516 () (@var "R2" (-> tptp.a tptp.a Bool))) % 0.46/1.01 (define @t517 () (@var "S2" tptp.set_a)) % 0.46/1.01 (define @t518 () (lambda (@list @t516 @t517) (forall @t55 (=> (_ @t54 @t517) (forall @t488 (=> (_ (_ tptp.member_a @t487) (_ (_ tptp.minus_minus_set_a @t517) @t433)) (_ (_ @t516 @t52) @t487))))))) % 0.46/1.01 (define @t519 () (lambda @t258 (or (_ (_ tptp.ord_less_set_a @t256) @t257) @t467))) % 0.46/1.01 (define @t520 () (lambda @t255 (or (_ (_ tptp.ord_less_int @t253) @t254) @t468))) % 0.46/1.01 (define @t521 () (tptp.h @t135)) % 0.46/1.01 (define @t522 () (tptp.h tptp.x)) % 0.46/1.01 (define @t523 () (= @t1 @t481)) % 0.46/1.01 (define @t524 () (not @t523)) % 0.46/1.01 (define @t525 () (_ tptp.h @t487)) % 0.46/1.01 (define @t526 () (= @t9 @t525)) % 0.46/1.01 (define @t527 () (lambda @t488 @t526)) % 0.46/1.01 (define @t528 () (_ tptp.collect_a @t527)) % 0.46/1.01 (define @t529 () (tptp.h @t487)) % 0.46/1.01 (define @t530 () (tptp.h tptp.e)) % 0.46/1.01 (define @t531 () (= @t530 @t529)) % 0.46/1.01 (define @t532 () (lambda @t488 @t531)) % 0.46/1.01 (define @t533 () (tptp.collect_a @t532)) % 0.46/1.01 (define @t534 () (tptp.member_a @t135 @t533)) % 0.46/1.01 (define @t535 () (_ @t335 @t528)) % 0.46/1.01 (define @t536 () (not @t535)) % 0.46/1.01 (define @t537 () (or @t536 @t524)) % 0.46/1.01 (define @t538 () (lambda @t488 (= @t525 @t9))) % 0.46/1.01 (define @t539 () (lambda @t55 (_ tptp.collect_a (lambda @t488 (= @t525 (_ tptp.h @t52)))))) % 0.46/1.01 (define @t540 () (_ @t489 tptp.h)) % 0.46/1.01 (define @t541 () (_ @t540 tptp.e)) % 0.46/1.01 (define @t542 () (=> (_ @t335 @t541) @t482)) % 0.46/1.01 (define @t543 () (forall @t138 @t542)) % 0.46/1.01 (define @t544 () (forall @t138 (or (not @t534) (not (= @t522 @t521))))) % 0.46/1.01 (define @t545 () (@quantifiers_skolemize @t544 0)) % 0.46/1.01 (define @t546 () (tptp.h @t545)) % 0.46/1.01 (define @t547 () (= @t522 @t546)) % 0.46/1.01 (define @t548 () (not @t547)) % 0.46/1.01 (define @t549 () (@purify @t532)) % 0.46/1.01 (define @t550 () (tptp.member_a @t545 (tptp.collect_a @t549))) % 0.46/1.01 (define @t551 () (not @t550)) % 0.46/1.01 (define @t552 () (or @t551 @t548)) % 0.46/1.01 (define @t553 () (not @t552)) % 0.46/1.01 (define @t554 () (not @t544)) % 0.46/1.01 (define @t555 () (tptp.member_a @t545 @t533)) % 0.46/1.01 (define @t556 () (not @t555)) % 0.46/1.01 (define @t557 () (or @t556 @t548)) % 0.46/1.01 (define @t558 () (not @t557)) % 0.46/1.01 (define @t559 () (@list true)) % 0.46/1.01 (define @t560 () (@list @t552)) % 0.46/1.01 (define @t561 () (and (= @t522 (tptp.sup_sup_int @t522 @t546)) @t548)) % 0.46/1.01 (define @t562 () (not @t561)) % 0.46/1.01 (define @t563 () (@list false)) % 0.46/1.01 (define @t564 () (tptp.h @t2)) % 0.46/1.01 (define @t565 () (not (= @t564 @t522))) % 0.46/1.01 (define @t566 () (tptp.sup_sup_int @t522 @t564)) % 0.46/1.01 (define @t567 () (= @t522 @t566)) % 0.46/1.01 (define @t568 () (and @t567 @t565)) % 0.46/1.01 (define @t569 () (tptp.member_a @t2 @t533)) % 0.46/1.01 (define @t570 () (not @t569)) % 0.46/1.01 (define @t571 () (or @t570 @t568)) % 0.46/1.01 (define @t572 () (= @t3 @t1)) % 0.46/1.01 (define @t573 () (not @t572)) % 0.46/1.01 (define @t574 () (_ (_ tptp.sup_sup_int @t1) @t3)) % 0.46/1.01 (define @t575 () (= @t1 @t574)) % 0.46/1.01 (define @t576 () (and @t575 @t573)) % 0.46/1.01 (define @t577 () (_ @t5 @t528)) % 0.46/1.01 (define @t578 () (not @t577)) % 0.46/1.01 (define @t579 () (or @t578 @t576)) % 0.46/1.01 (define @t580 () (= @t289 (_ @t505 @t3))) % 0.46/1.01 (define @t581 () (@list @t289)) % 0.46/1.01 (define @t582 () (not (= @t289 @t3))) % 0.46/1.01 (define @t583 () (and @t580 @t582)) % 0.46/1.01 (define @t584 () (lambda @t581 @t583)) % 0.46/1.01 (define @t585 () (_ @t506 @t3)) % 0.46/1.01 (define @t586 () (=> (_ @t5 @t541) (_ @t585 @t1))) % 0.46/1.01 (define @t587 () (or @t556 @t561)) % 0.46/1.01 (define @t588 () (forall @t7 (or @t570 (and @t567 (not (= @t522 @t564)))))) % 0.46/1.01 (define @t589 () (or @t551 @t561)) % 0.46/1.01 (assume @p1 @t8) % 0.46/1.01 (assume @p2 (_ (_ tptp.ord_less_int @t9) @t1)) % 0.46/1.01 (assume @p3 (= (_ @t10 @t12) (_ (_ (_ tptp.binary717961607le_T_a @t11) tptp.x) tptp.t2))) % 0.46/1.01 (assume @p4 @t14) % 0.46/1.01 (assume @p5 @t15) % 0.46/1.01 (assume @p6 (_ @t13 @t12)) % 0.46/1.01 (assume @p7 (forall (@list @t19 @t18 @t17 @t16) (_ (_ (_ (_ tptp.binary670562003pred_a @t19) @t18) @t17) @t16))) % 0.46/1.01 (assume @p8 @t21) % 0.46/1.01 (assume @p9 @t22) % 0.46/1.01 (assume @p10 (=> @t14 @t21)) % 0.46/1.01 (assume @p11 (=> @t15 @t22)) % 0.46/1.01 (assume @p12 (=> (_ @t13 tptp.binary476621312_Tip_a) (= (_ tptp.binary945792244etOf_a (_ @t10 tptp.binary476621312_Tip_a)) (_ (_ tptp.sup_sup_set_a (_ (_ tptp.minus_minus_set_a @t23) @t4)) @t20)))) % 0.46/1.01 (assume @p13 (forall (@list @t29 @t27 @t25 @t28 @t26 @t24) (= (= @t30 (_ (_ (_ tptp.binary717961607le_T_a @t28) @t26) @t24)) (and (= @t29 @t28) (= @t27 @t26) (= @t25 @t24))))) % 0.46/1.01 (assume @p14 (forall (@list @t36 @t31 @t34) (= (_ tptp.binary945792244etOf_a @t40) (_ (_ tptp.sup_sup_set_a (_ (_ tptp.sup_sup_set_a @t37) @t35)) @t33)))) % 0.46/1.01 (assume @p15 (= @t23 tptp.bot_bot_set_a)) % 0.46/1.01 (assume @p16 (forall @t41 (not (= tptp.binary476621312_Tip_a @t30)))) % 0.46/1.01 (assume @p17 (forall (@list @t19 @t42 @t31 @t36 @t34) (and (=> @t49 (= @t44 (_ (_ (_ tptp.binary717961607le_T_a (_ @t43 @t36)) @t31) @t34))) (=> (not @t49) (and (=> @t48 (= @t44 (_ @t39 (_ @t43 @t34)))) (=> (not @t48) (= @t44 (_ (_ @t38 @t42) @t34)))))))) % 0.46/1.01 (assume @p18 (forall (@list @t19 @t42) (= (_ @t43 tptp.binary476621312_Tip_a) (_ (_ (_ tptp.binary717961607le_T_a tptp.binary476621312_Tip_a) @t42) tptp.binary476621312_Tip_a)))) % 0.46/1.01 (assume @p19 (forall @t58 (= @t57 (and @t56 (forall @t55 (=> (_ @t54 @t37) (_ (_ tptp.ord_less_int @t53) @t46))) (forall @t55 (=> (_ @t54 @t35) (_ @t47 @t53))) @t51)))) % 0.46/1.01 (assume @p20 (forall (@list @t19) (_ @t50 tptp.binary476621312_Tip_a))) % 0.46/1.01 (assume @p21 (forall @t58 (=> @t57 @t56))) % 0.46/1.01 (assume @p22 (forall @t58 (=> @t57 @t51))) % 0.46/1.01 (assume @p23 (forall (@list @t60 @t59) (=> (_ @t60 tptp.binary476621312_Tip_a) (=> (forall (@list @t63 @t62 @t61) (=> (_ @t60 @t63) (=> (_ @t60 @t61) (_ @t60 (_ (_ (_ tptp.binary717961607le_T_a @t63) @t62) @t61))))) (_ @t60 @t59))))) % 0.46/1.01 (assume @p24 (forall (@list @t67) (=> (not (= @t67 tptp.binary476621312_Tip_a)) (not (forall (@list @t66 @t65 @t64) (not (= @t67 (_ (_ (_ tptp.binary717961607le_T_a @t66) @t65) @t64)))))))) % 0.46/1.01 (assume @p25 (forall @t75 (= @t74 @t70))) % 0.46/1.01 (assume @p26 (forall @t78 (= (_ tptp.collect_a @t77) @t71))) % 0.46/1.01 (assume @p27 (forall @t78 (= (_ tptp.collect_a (_ @t81 @t18)) @t71))) % 0.46/1.01 (assume @p28 (forall @t87 (= (_ @t83 @t86) @t84))) % 0.46/1.01 (assume @p29 (forall (@list @t82 @t68) (= (_ (_ tptp.sup_sup_set_a @t86) @t68) (_ @t88 @t68)))) % 0.46/1.01 (assume @p30 (forall @t94 (=> @t93 (= (_ @t72 @t90) @t89)))) % 0.46/1.01 (assume @p31 (forall @t100 @t99)) % 0.46/1.01 (assume @p32 (forall (@list @t18 @t82 @t101) (= (_ (_ tptp.sup_sup_set_a @t103) @t101) (_ @t69 @t102)))) % 0.46/1.01 (assume @p33 (forall @t104 (= (_ @t83 @t103) (_ @t69 @t84)))) % 0.46/1.01 (assume @p34 (forall @t105 (= (_ @t72 tptp.bot_bot_set_a) @t68))) % 0.46/1.01 (assume @p35 (forall @t105 (= (_ (_ tptp.minus_minus_set_a tptp.bot_bot_set_a) @t68) tptp.bot_bot_set_a))) % 0.46/1.01 (assume @p36 (forall @t110 (= (= tptp.bot_bot_set_a @t109) @t108))) % 0.46/1.01 (assume @p37 (forall @t110 (= @t111 @t108))) % 0.46/1.01 (assume @p38 (forall @t105 (= (forall @t55 (not @t113)) @t112))) % 0.46/1.01 (assume @p39 (forall (@list @t114) (not (_ @t115 tptp.bot_bot_set_a)))) % 0.46/1.01 (assume @p40 (forall @t116 (= (_ @t32 @t95) @t95))) % 0.46/1.01 (assume @p41 (forall @t122 (= @t121 (or @t119 @t118)))) % 0.46/1.01 (assume @p42 (forall @t126 (=> (=> (not @t125) @t119) @t124))) % 0.46/1.01 (assume @p43 (forall @t130 (= @t129 (or @t128 @t127)))) % 0.46/1.01 (assume @p44 (forall @t132 (= (_ @t117 @t109) @t131))) % 0.46/1.01 (assume @p45 (forall @t105 (= (_ tptp.collect_a (lambda @t55 @t113)) @t68))) % 0.46/1.01 (assume @p46 (forall @t139 (=> (forall @t138 (= @t137 @t136)) (= @t109 @t134)))) % 0.46/1.01 (assume @p47 (forall @t141 (=> (=> @t140 @t128) @t129))) % 0.46/1.01 (assume @p48 (forall @t87 (= (_ @t142 @t82) @t89))) % 0.46/1.01 (assume @p49 (forall @t130 (= @t143 (and @t128 @t140)))) % 0.46/1.01 (assume @p50 (forall @t130 (=> @t128 (=> @t140 @t143)))) % 0.46/1.01 (assume @p51 (forall @t78 (_ @t117 @t71))) % 0.46/1.01 (assume @p52 (forall @t87 (= (= @t84 tptp.bot_bot_set_a) (and @t112 @t144)))) % 0.46/1.01 (assume @p53 (forall @t105 (= (_ @t72 @t68) tptp.bot_bot_set_a))) % 0.46/1.01 (assume @p54 (forall @t105 (= (exists @t55 @t113) @t145))) % 0.46/1.01 (assume @p55 (forall @t105 (=> (forall @t148 (not @t147)) @t112))) % 0.46/1.01 (assume @p56 (forall (@list @t68 @t18) (=> @t112 @t149))) % 0.46/1.01 (assume @p57 (forall @t78 (not (_ @t117 tptp.bot_bot_set_a)))) % 0.46/1.01 (assume @p58 (forall @t75 (=> @t118 (exists @t151 (and (= @t68 (_ @t69 @t150)) (not (_ @t117 @t150))))))) % 0.46/1.01 (assume @p59 (forall @t154 (= (_ @t32 (_ @t153 @t68)) (_ @t153 @t95)))) % 0.46/1.01 (assume @p60 (forall (@list @t18 @t68 @t17 @t82) (=> @t149 (=> (not (_ @t156 @t82)) (= (= @t70 @t123) (and (=> @t119 @t158) (=> @t157 (exists (@list @t155) (and (= @t68 (_ @t120 @t155)) (not (_ @t156 @t155)) (= @t82 (_ @t69 @t155)) (not (_ @t117 @t155))))))))))) % 0.46/1.01 (assume @p61 (forall @t75 (=> @t118 (= @t70 @t68)))) % 0.46/1.01 (assume @p62 (forall @t94 (=> @t93 (=> @t159 (= (= @t95 @t90) @t158))))) % 0.46/1.01 (assume @p63 (forall @t116 (=> @t92 (not (forall @t151 (=> (= @t68 (_ @t32 @t150)) (_ @t91 @t150))))))) % 0.46/1.01 (assume @p64 (forall @t126 (=> @t125 @t124))) % 0.46/1.01 (assume @p65 (forall (@list @t18 @t82) (_ @t117 @t103))) % 0.46/1.01 (assume @p66 (forall @t122 (=> @t121 (=> @t157 @t118)))) % 0.46/1.01 (assume @p67 (forall @t161 (= @t160 (_ @t88 (_ @t83 @t101))))) % 0.46/1.01 (assume @p68 (forall @t87 (= (_ @t83 @t84) @t84))) % 0.46/1.01 (assume @p69 (= tptp.sup_sup_set_a (lambda @t164 (_ (_ tptp.sup_sup_set_a @t163) @t162)))) % 0.46/1.01 (assume @p70 (forall @t105 (= (_ @t83 @t68) @t68))) % 0.46/1.01 (assume @p71 (forall @t161 (= (_ (_ tptp.sup_sup_set_a @t84) @t101) @t160))) % 0.46/1.01 (assume @p72 (forall @t167 (= (forall @t55 (=> @t166 @t107)) (and (forall @t55 (=> @t113 @t107)) (forall @t55 (=> @t165 @t107)))))) % 0.46/1.01 (assume @p73 (forall @t167 (= (exists @t55 (and @t166 @t107)) (or (exists @t55 (and @t113 @t107)) (exists @t55 (and @t165 @t107)))))) % 0.46/1.01 (assume @p74 (forall @t141 (=> @t127 @t129))) % 0.46/1.01 (assume @p75 (forall @t130 (=> @t128 @t129))) % 0.46/1.01 (assume @p76 (forall @t130 (=> @t129 (=> (not @t128) @t127)))) % 0.46/1.01 (assume @p77 (forall @t130 (=> @t143 @t140))) % 0.46/1.01 (assume @p78 (forall @t130 (=> @t143 @t128))) % 0.46/1.01 (assume @p79 (forall @t130 (=> @t143 (not @t168)))) % 0.46/1.01 (assume @p80 (= tptp.bot_bot_set_a (_ tptp.collect_a (lambda @t55 false)))) % 0.46/1.01 (assume @p81 (forall @t132 (= (_ @t69 @t109) (_ tptp.collect_a (lambda (@list @t169) (=> (not (= @t169 @t18)) (_ @t106 @t169))))))) % 0.46/1.01 (assume @p82 (forall @t139 (= (_ tptp.collect_a (lambda @t55 (or @t107 (_ @t133 @t52)))) (_ (_ tptp.sup_sup_set_a @t109) @t134)))) % 0.46/1.01 (assume @p83 (forall (@list @t18 @t17) (=> (= @t71 @t170) @t119))) % 0.46/1.01 (assume @p84 (forall @t75 (not (= @t70 tptp.bot_bot_set_a)))) % 0.46/1.01 (assume @p85 (forall (@list @t18 @t17 @t114 @t171) (= (= (_ @t69 @t170) (_ (_ tptp.insert_a @t114) (_ (_ tptp.insert_a @t171) tptp.bot_bot_set_a))) (or (and (= @t18 @t114) (= @t17 @t171)) (and (= @t18 @t171) (= @t17 @t114)))))) % 0.46/1.01 (assume @p86 (forall @t174 (= @t173 @t172))) % 0.46/1.01 (assume @p87 (forall @t174 (=> @t173 @t172))) % 0.46/1.01 (assume @p88 (forall @t105 (= (_ @t83 tptp.bot_bot_set_a) @t68))) % 0.46/1.01 (assume @p89 (forall (@list @t82) (= (_ @t175 @t82) @t82))) % 0.46/1.01 (assume @p90 (forall @t100 (and @t99 (=> @t159 (= @t97 (_ @t32 @t89)))))) % 0.46/1.01 (assume @p91 (forall @t161 (= (_ (_ tptp.minus_minus_set_a @t84) @t101) (_ (_ tptp.sup_sup_set_a (_ @t72 @t101)) (_ @t85 @t101))))) % 0.46/1.01 (assume @p92 (forall @t178 (and (=> @t131 (= @t176 @t71)) (=> @t177 (= @t176 tptp.bot_bot_set_a))))) % 0.46/1.01 (assume @p93 (forall @t178 (and (=> @t131 (= @t179 @t71)) (=> @t177 (= @t179 tptp.bot_bot_set_a))))) % 0.46/1.01 (assume @p94 (= tptp.insert_a (lambda @t183 (_ (_ tptp.sup_sup_set_a (_ tptp.collect_a (lambda @t55 @t182))) @t180)))) % 0.46/1.01 (assume @p95 (forall @t94 (= (= @t33 @t84) @t186))) % 0.46/1.01 (assume @p96 (forall (@list @t68 @t82 @t31) (= (= @t84 @t33) @t186))) % 0.46/1.01 (assume @p97 (= tptp.insert_a (lambda @t183 (_ (_ tptp.sup_sup_set_a (_ (_ tptp.insert_a @t181) tptp.bot_bot_set_a)) @t180)))) % 0.46/1.01 (assume @p98 (forall @t116 (=> @t93 (= (_ @t96 @t33) @t68)))) % 0.46/1.01 (assume @p99 (forall @t104 (= @t187 (_ (_ tptp.minus_minus_set_a @t73) @t82)))) % 0.46/1.01 (assume @p100 (forall @t75 (=> @t118 (= @t74 @t68)))) % 0.46/1.01 (assume @p101 (forall @t104 (= @t187 (_ @t142 @t71)))) % 0.46/1.01 (assume @p102 (forall @t190 (= (_ @t189 tptp.bot_bot_a_o) @t188))) % 0.46/1.01 (assume @p103 (forall @t193 (= (_ @t192 tptp.bot_bot_set_a) @t191))) % 0.46/1.01 (assume @p104 (forall @t198 (= (= tptp.bot_bot_a_o @t197) @t196))) % 0.46/1.01 (assume @p105 (forall @t203 (= (= tptp.bot_bot_set_a @t202) @t201))) % 0.46/1.01 (assume @p106 (forall @t190 (= (_ @t204 @t188) @t188))) % 0.46/1.01 (assume @p107 (forall @t193 (= (_ @t175 @t191) @t191))) % 0.46/1.01 (assume @p108 (forall @t198 (= (= @t197 tptp.bot_bot_a_o) @t196))) % 0.46/1.01 (assume @p109 (forall @t203 (= (= @t202 tptp.bot_bot_set_a) @t201))) % 0.46/1.01 (assume @p110 (forall @t210 (= (= @t209 tptp.bot_bot_a_o) @t207))) % 0.46/1.01 (assume @p111 (forall @t216 (= (= @t215 tptp.bot_bot_set_a) @t213))) % 0.46/1.01 (assume @p112 (forall @t210 (= (= tptp.bot_bot_a_o @t209) @t207))) % 0.46/1.01 (assume @p113 (forall @t216 (= (= tptp.bot_bot_set_a @t215) @t213))) % 0.46/1.01 (assume @p114 (forall @t217 (= (_ @t208 tptp.bot_bot_a_o) @t206))) % 0.46/1.01 (assume @p115 (forall @t218 (= (_ @t214 tptp.bot_bot_set_a) @t212))) % 0.46/1.01 (assume @p116 (forall @t217 (= (_ @t204 @t206) @t206))) % 0.46/1.01 (assume @p117 (forall @t218 (= (_ @t175 @t212) @t212))) % 0.46/1.01 (assume @p118 (forall (@list @t19 @t16 @t31) (=> (_ @t50 @t16) (= (_ (_ (_ tptp.binary2053421120memb_a @t19) @t31) @t16) (_ @t91 (_ tptp.binary945792244etOf_a @t16)))))) % 0.46/1.01 (assume @p119 (forall @t190 (= (_ @t189 @t188) @t188))) % 0.46/1.01 (assume @p120 (forall @t221 (= (_ @t220 @t219) @t219))) % 0.46/1.01 (assume @p121 (forall @t193 (= (_ @t192 @t191) @t191))) % 0.46/1.01 (assume @p122 (forall @t217 (= (_ @t208 @t206) @t206))) % 0.46/1.01 (assume @p123 (forall @t224 (= (_ @t223 @t222) @t222))) % 0.46/1.01 (assume @p124 (forall @t218 (= (_ @t214 @t212) @t212))) % 0.46/1.01 (assume @p125 (forall @t198 (= (_ @t189 @t197) @t197))) % 0.46/1.01 (assume @p126 (forall @t227 (= (_ @t220 @t226) @t226))) % 0.46/1.01 (assume @p127 (forall @t203 (= (_ @t192 @t202) @t202))) % 0.46/1.01 (assume @p128 (forall @t210 (= (_ @t208 @t209) @t209))) % 0.46/1.01 (assume @p129 (forall @t230 (= (_ @t223 @t229) @t229))) % 0.46/1.01 (assume @p130 (forall @t216 (= (_ @t214 @t215) @t215))) % 0.46/1.01 (assume @p131 (forall @t198 (= (_ @t231 @t194) @t197))) % 0.46/1.01 (assume @p132 (forall @t227 (= (_ @t232 @t225) @t226))) % 0.46/1.01 (assume @p133 (forall @t203 (= (_ @t233 @t199) @t202))) % 0.46/1.01 (assume @p134 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 0.46/1.01 (assume @p135 (= tptp.sup_sup_set_a (lambda @t164 (_ tptp.collect_a (_ (_ tptp.sup_sup_a_o @t237) @t235))))) % 0.46/1.01 (assume @p136 (forall @t241 (= @t240 (_ @t239 (_ @t208 @t238))))) % 0.46/1.01 (assume @p137 (forall @t245 (= @t244 (_ @t243 (_ @t223 @t242))))) % 0.46/1.01 (assume @p138 (forall @t249 (= @t248 (_ @t247 (_ @t214 @t246))))) % 0.46/1.01 (assume @p139 (forall @t241 (= (_ (_ tptp.sup_sup_a_o @t209) @t238) @t240))) % 0.46/1.01 (assume @p140 (forall @t245 (= (_ (_ tptp.sup_sup_int @t229) @t242) @t244))) % 0.46/1.01 (assume @p141 (forall @t249 (= (_ (_ tptp.sup_sup_set_a @t215) @t246) @t248))) % 0.46/1.01 (assume @p142 (= tptp.sup_sup_a_o (lambda (@list @t251 @t252 @t250) (_ (_ (_ tptp.sup_sup_a_o @t252) @t251) @t250)))) % 0.46/1.01 (assume @p143 (= tptp.sup_sup_int (lambda @t255 (_ (_ tptp.sup_sup_int @t254) @t253)))) % 0.46/1.01 (assume @p144 (= tptp.sup_sup_set_a (lambda @t258 (_ (_ tptp.sup_sup_set_a @t257) @t256)))) % 0.46/1.01 (assume @p145 (forall (@list @t262 @t259 @t188 @t194) (=> (= @t262 (_ @t260 @t188)) (= (_ @t263 @t194) @t261)))) % 0.46/1.01 (assume @p146 (forall (@list @t267 @t264 @t219 @t225) (=> (= @t267 (_ @t265 @t219)) (= (_ (_ tptp.sup_sup_int @t267) @t225) @t266)))) % 0.46/1.01 (assume @p147 (forall (@list @t68 @t268 @t191 @t199) (=> (= @t68 (_ @t269 @t191)) (= (_ @t83 @t199) @t270)))) % 0.46/1.01 (assume @p148 (forall (@list @t271 @t259 @t194 @t188) (=> (= @t271 (_ @t260 @t194)) (= (_ @t189 @t271) @t261)))) % 0.46/1.01 (assume @p149 (forall (@list @t272 @t264 @t225 @t219) (=> (= @t272 (_ @t265 @t225)) (= (_ @t220 @t272) @t266)))) % 0.46/1.01 (assume @p150 (forall (@list @t82 @t268 @t199 @t191) (=> (= @t82 (_ @t269 @t199)) (= (_ @t192 @t82) @t270)))) % 0.46/1.01 (assume @p151 (forall (@list @t188 @t194 @t273) (= (_ @t231 @t273) @t276))) % 0.46/1.01 (assume @p152 (forall @t281 (= (_ @t232 @t277) @t280))) % 0.46/1.01 (assume @p153 (forall @t286 (= (_ @t233 @t282) @t285))) % 0.46/1.01 (assume @p154 (= tptp.sup_sup_a_o (lambda (@list @t287 @t288 @t250) (_ (_ (_ tptp.sup_sup_a_o @t288) @t287) @t250)))) % 0.46/1.01 (assume @p155 (= tptp.sup_sup_int (lambda (@list @t289 @t290) (_ (_ tptp.sup_sup_int @t290) @t289)))) % 0.46/1.01 (assume @p156 (= tptp.sup_sup_set_a (lambda (@list @t291 @t292) (_ (_ tptp.sup_sup_set_a @t292) @t291)))) % 0.46/1.01 (assume @p157 (forall (@list @t194 @t188 @t273) (= (_ @t274 (_ @t189 @t273)) @t276))) % 0.46/1.01 (assume @p158 (forall @t293 (= (_ @t278 (_ @t220 @t277)) @t280))) % 0.46/1.01 (assume @p159 (forall @t294 (= (_ @t283 (_ @t192 @t282)) @t285))) % 0.46/1.01 (assume @p160 (forall (@list @t206 @t188 @t194) (=> (_ @t295 @t188) @t296))) % 0.46/1.01 (assume @p161 (forall (@list @t212 @t191 @t199) (=> (_ @t297 @t191) @t298))) % 0.46/1.01 (assume @p162 (forall (@list @t222 @t219 @t225) (=> (_ @t299 @t219) @t300))) % 0.46/1.01 (assume @p163 (forall (@list @t206 @t194 @t188) (=> (_ @t295 @t194) @t296))) % 0.46/1.01 (assume @p164 (forall (@list @t212 @t199 @t191) (=> (_ @t297 @t199) @t298))) % 0.46/1.01 (assume @p165 (forall (@list @t222 @t225 @t219) (=> (_ @t299 @t225) @t300))) % 0.46/1.01 (assume @p166 (forall @t303 (=> (_ (_ tptp.ord_less_a_o @t275) @t188) (not (=> (_ (_ tptp.ord_less_a_o @t194) @t188) (not @t302)))))) % 0.46/1.01 (assume @p167 (forall @t308 (=> (_ (_ tptp.ord_less_set_a @t284) @t191) (not (=> @t307 (not @t305)))))) % 0.46/1.01 (assume @p168 (forall @t313 (=> (_ (_ tptp.ord_less_int @t279) @t219) (not (=> @t312 (not @t310)))))) % 0.46/1.01 (assume @p169 (forall (@list @t273 @t188 @t194) (=> @t302 @t314))) % 0.46/1.01 (assume @p170 (forall (@list @t282 @t191 @t199) (=> @t305 @t315))) % 0.46/1.01 (assume @p171 (forall (@list @t277 @t219 @t225) (=> @t310 @t316))) % 0.46/1.01 (assume @p172 (forall (@list @t273 @t194 @t188) (=> (_ @t301 @t194) @t314))) % 0.46/1.01 (assume @p173 (forall (@list @t282 @t199 @t191) (=> @t317 @t315))) % 0.46/1.01 (assume @p174 (forall (@list @t277 @t225 @t219) (=> @t318 @t316))) % 0.46/1.01 (assume @p175 (forall @t319 (= (_ tptp.the_elem_a @t33) @t31))) % 0.46/1.01 (assume @p176 (forall @t319 (_ tptp.is_singleton_a @t33))) % 0.46/1.01 (assume @p177 (forall (@list @t219 @t225 @t320 @t277) (=> @t326 (=> (_ (_ tptp.ord_less_int @t320) @t277) (_ @t324 (_ @t321 @t320)))))) % 0.46/1.01 (assume @p178 (forall @t330 (=> (=> (not @t329) @t328) @t327))) % 0.46/1.01 (assume @p179 (forall (@list @t262 @t271 @t31) (=> @t327 (=> (not @t328) @t329)))) % 0.46/1.01 (assume @p180 (forall (@list @t262 @t31 @t271) (=> @t328 @t327))) % 0.46/1.01 (assume @p181 (forall @t330 (=> @t329 @t327))) % 0.46/1.01 (assume @p182 (forall @t105 (not (_ @t331 tptp.bot_bot_set_a)))) % 0.46/1.01 (assume @p183 (forall @t87 (=> @t333 (exists (@list @t332) (_ (_ tptp.member_a @t332) @t86))))) % 0.46/1.01 (assume @p184 (= tptp.minus_minus_set_a (lambda @t164 (_ tptp.collect_a (_ (_ tptp.minus_minus_a_o @t237) @t235))))) % 0.46/1.01 (assume @p185 (forall @t105 (=> @t145 (=> (forall (@list @t135 @t146) (=> @t336 (=> @t147 (= @t135 @t146)))) @t334)))) % 0.46/1.01 (assume @p186 (forall @t339 (=> @t307 @t338))) % 0.46/1.01 (assume @p187 (forall @t342 (=> @t312 @t341))) % 0.46/1.01 (assume @p188 (forall @t203 (=> @t344 @t338))) % 0.46/1.01 (assume @p189 (forall @t227 (=> @t326 @t341))) % 0.46/1.01 (assume @p190 (forall @t230 (= @t349 (or @t347 @t345)))) % 0.46/1.01 (assume @p191 (forall @t294 (=> @t307 (=> @t317 @t305)))) % 0.46/1.01 (assume @p192 (forall @t293 (=> @t312 (=> @t318 @t310)))) % 0.46/1.01 (assume @p193 (forall (@list @t350 @t219 @t225) (=> (forall @t355 (=> (_ (_ tptp.ord_less_int @t352) @t351) @t354)) (=> (forall (@list @t352) (_ @t353 @t352)) (=> (forall @t355 (=> (_ (_ @t350 @t351) @t352) @t354)) (_ (_ @t350 @t219) @t225)))))) % 0.46/1.01 (assume @p194 (forall @t216 (=> @t358 (not @t357)))) % 0.46/1.01 (assume @p195 (forall @t230 (=> @t348 @t359))) % 0.46/1.01 (assume @p196 (forall @t286 (=> @t344 @t362))) % 0.46/1.01 (assume @p197 (forall @t281 (=> @t326 @t365))) % 0.46/1.01 (assume @p198 (forall @t193 (not (_ @t343 @t191)))) % 0.46/1.01 (assume @p199 (forall @t221 (not (_ @t325 @t219)))) % 0.46/1.01 (assume @p200 (forall @t230 (=> @t349 (=> @t366 @t347)))) % 0.46/1.01 (assume @p201 (forall (@list @t212 @t211 @t367) (=> @t358 (=> @t357 @t367)))) % 0.46/1.01 (assume @p202 (forall (@list @t222 @t228 @t367) (=> @t348 (=> @t347 @t367)))) % 0.46/1.01 (assume @p203 (forall @t216 (=> @t358 (not (= @t211 @t212))))) % 0.46/1.01 (assume @p204 (forall @t230 (=> @t348 (not (= @t228 @t222))))) % 0.46/1.01 (assume @p205 (forall @t369 (=> @t359 @t368))) % 0.46/1.01 (assume @p206 (forall @t216 (=> @t358 (not (= @t212 @t211))))) % 0.46/1.01 (assume @p207 (forall @t230 (=> @t348 @t366))) % 0.46/1.01 (assume @p208 (forall @t339 (=> @t307 (not @t344)))) % 0.46/1.01 (assume @p209 (forall @t342 (=> @t312 (not @t326)))) % 0.46/1.01 (assume @p210 (forall @t286 (=> @t344 (=> (= @t199 @t282) @t360)))) % 0.46/1.01 (assume @p211 (forall @t281 (=> @t326 (=> (= @t225 @t277) @t363)))) % 0.46/1.01 (assume @p212 (forall @t286 (=> @t337 @t362))) % 0.46/1.01 (assume @p213 (forall @t281 (=> @t340 @t365))) % 0.46/1.01 (assume @p214 (forall @t218 (not (_ @t297 @t212)))) % 0.46/1.01 (assume @p215 (forall @t224 (not (_ @t299 @t222)))) % 0.46/1.01 (assume @p216 (forall @t230 (or @t348 @t345 @t347))) % 0.46/1.01 (assume @p217 (forall @t249 (=> @t358 (=> (_ @t356 @t246) (_ @t297 @t246))))) % 0.46/1.01 (assume @p218 (forall @t245 (=> @t348 (=> (_ @t346 @t242) (_ @t299 @t242))))) % 0.46/1.01 (assume @p219 (forall @t203 (=> @t344 (not @t307)))) % 0.46/1.01 (assume @p220 (forall @t227 (=> @t326 (not @t312)))) % 0.46/1.01 (assume @p221 (forall @t230 (= @t366 (or @t348 @t347)))) % 0.46/1.01 (assume @p222 (forall @t230 (=> @t366 (=> @t349 @t347)))) % 0.46/1.01 (assume @p223 (forall @t224 (exists (@list @t370) (_ @t299 @t370)))) % 0.46/1.01 (assume @p224 (forall @t224 (exists (@list @t371) (_ (_ tptp.ord_less_int @t371) @t222)))) % 0.46/1.01 (assume @p225 (forall @t383 (=> @t326 (=> @t382 @t380)))) % 0.46/1.01 (assume @p226 (forall @t396 (=> @t344 (=> @t395 @t393)))) % 0.46/1.01 (assume @p227 (forall @t405 (=> @t344 (=> @t404 @t402)))) % 0.46/1.01 (assume @p228 (forall @t414 (=> @t326 (=> @t413 @t411)))) % 0.46/1.01 (assume @p229 (forall @t418 (=> @t417 @t416))) % 0.46/1.01 (assume @p230 (forall @t422 (=> @t421 @t420))) % 0.46/1.01 (assume @p231 (forall @t424 (=> (_ @t343 @t403) @t423))) % 0.46/1.01 (assume @p232 (forall @t428 (=> @t427 @t426))) % 0.46/1.01 (assume @p233 (forall @t383 (=> @t326 (=> (= @t381 @t282) @t380)))) % 0.46/1.01 (assume @p234 (forall @t396 (=> @t344 (=> (= @t394 @t277) @t393)))) % 0.46/1.01 (assume @p235 (forall @t405 (=> @t344 (=> (= @t403 @t282) @t402)))) % 0.46/1.01 (assume @p236 (forall @t414 (=> @t326 (=> (= @t412 @t277) @t411)))) % 0.46/1.01 (assume @p237 (forall @t422 (=> (= @t191 @t381) @t420))) % 0.46/1.01 (assume @p238 (forall @t418 (=> (= @t219 @t394) @t416))) % 0.46/1.01 (assume @p239 (forall @t424 (=> (= @t191 @t403) @t423))) % 0.46/1.01 (assume @p240 (forall @t428 (=> (= @t219 @t412) @t426))) % 0.46/1.01 (assume @p241 (forall (@list @t219 @t277 @t225) (= (_ (_ tptp.minus_minus_int @t323) @t225) (_ (_ tptp.minus_minus_int @t429) @t277)))) % 0.46/1.01 (assume @p242 (forall @t432 (=> @t431 (= @t340 (= @t277 @t320))))) % 0.46/1.01 (assume @p243 (= tptp.is_singleton_a (lambda @t434 (exists @t55 (= @t162 @t433))))) % 0.46/1.01 (assume @p244 (forall @t105 (=> @t334 (not (forall @t138 (not (= @t68 (_ (_ tptp.insert_a @t135) tptp.bot_bot_set_a)))))))) % 0.46/1.01 (assume @p245 (forall @t190 (= (not @t195) (_ (_ tptp.ord_less_a_o tptp.bot_bot_a_o) @t188)))) % 0.46/1.01 (assume @p246 (forall @t193 (= (not @t200) (_ (_ tptp.ord_less_set_a tptp.bot_bot_set_a) @t191)))) % 0.46/1.01 (assume @p247 (forall @t190 (not (_ (_ tptp.ord_less_a_o @t188) tptp.bot_bot_a_o)))) % 0.46/1.01 (assume @p248 (forall @t193 (not (_ @t343 tptp.bot_bot_set_a)))) % 0.46/1.01 (assume @p249 (forall @t281 (=> @t326 (_ @t324 (_ @t321 @t277))))) % 0.46/1.01 (assume @p250 (forall @t293 (=> @t312 (_ (_ tptp.ord_less_int (_ @t430 @t219)) (_ @t430 @t225))))) % 0.46/1.01 (assume @p251 (forall @t432 (=> @t431 (= @t326 (_ @t309 @t320))))) % 0.46/1.01 (assume @p252 (forall (@list @t436 @t435) (= (_ (_ tptp.sup_sup_a_o (lambda @t55 (_ @t54 @t436))) (lambda @t55 (_ @t54 @t435))) (lambda @t55 (_ @t54 (_ (_ tptp.sup_sup_set_a @t436) @t435)))))) % 0.46/1.01 (assume @p253 (= tptp.bot_bot_a_o (lambda @t55 (_ @t54 tptp.bot_bot_set_a)))) % 0.46/1.01 (assume @p254 (forall @t110 (= @t111 (= @t106 tptp.bot_bot_a_o)))) % 0.46/1.01 (assume @p255 (forall @t161 (=> @t333 (=> (_ (_ tptp.ord_less_set_a @t82) @t101) (_ @t331 @t101))))) % 0.46/1.01 (assume @p256 (= tptp.ord_less_set_a (lambda @t164 (_ (_ tptp.ord_less_a_o @t237) @t235)))) % 0.46/1.01 (assume @p257 (forall (@list @t68 @t82 @t114) (=> @t333 @t168))) % 0.46/1.01 (assume @p258 (forall @t41 (= @t439 (_ (_ tptp.sup_sup_set_a (_ (_ tptp.sup_sup_set_a @t438) (_ (_ tptp.insert_a @t27) tptp.bot_bot_set_a))) @t437)))) % 0.46/1.01 (assume @p259 (forall @t154 (= (_ @t91 (_ (_ tptp.remove_a @t152) @t68)) (and @t92 (not (= @t31 @t152)))))) % 0.46/1.01 (assume @p260 (forall (@list @t440 @t25 @t29 @t27) (=> (_ @t441 @t437) (_ @t441 @t439)))) % 0.46/1.01 (assume @p261 (forall (@list @t27 @t29 @t25) (_ (_ tptp.member_a @t27) @t439))) % 0.46/1.01 (assume @p262 (forall (@list @t152 @t29 @t27 @t25) (=> (_ @t442 @t438) (_ @t442 @t439)))) % 0.46/1.01 (assume @p263 (forall (@list @t42 @t448) (=> (_ @t444 (_ tptp.binary256242811Tree_a @t448)) (=> (forall (@list @t446) (=> (exists (@list @t445 @t443) @t449) (not (_ @t444 (_ tptp.binary256242811Tree_a @t446))))) (=> (forall (@list @t446 @t443) (not (= @t448 (_ (_ @t447 @t42) @t443)))) (not (forall (@list @t446 @t445 @t443) (=> @t449 (not (_ @t444 (_ tptp.binary256242811Tree_a @t443))))))))))) % 0.46/1.01 (assume @p264 (= (_ tptp.binary256242811Tree_a tptp.binary476621312_Tip_a) tptp.bot_bot_set_a)) % 0.46/1.01 (assume @p265 (forall @t319 (= (_ tptp.the_a (_ @t81 @t31)) @t31))) % 0.46/1.01 (assume @p266 (forall @t78 (= (_ tptp.the_a @t77) @t18))) % 0.46/1.01 (assume @p267 (forall @t178 (=> @t131 (=> @t452 @t451)))) % 0.46/1.01 (assume @p268 (forall @t178 (=> @t131 (=> @t452 @t453)))) % 0.46/1.01 (assume @p269 (forall @t110 (=> @t454 @t453))) % 0.46/1.01 (assume @p270 (forall (@list @t106 @t18 @t133) (=> @t131 (=> @t452 @t455)))) % 0.46/1.01 (assume @p271 (forall @t139 (=> @t454 @t455))) % 0.46/1.01 (assume @p272 (forall @t178 (=> @t454 (=> @t131 @t451)))) % 0.46/1.01 (assume @p273 (forall (@list @t68 @t31 @t82) (= (_ @t331 @t90) (and (=> @t98 @t333) (=> @t159 (and (=> @t92 (_ (_ tptp.ord_less_set_a (_ @t72 @t33)) @t82)) (=> @t93 @t457))))))) % 0.46/1.01 (assume @p274 (forall @t218 (_ @t458 @t212))) % 0.46/1.01 (assume @p275 (forall @t224 (_ @t459 @t222))) % 0.46/1.01 (assume @p276 (forall @t87 (=> @t457 (=> (_ @t460 @t68) @t158)))) % 0.46/1.01 (assume @p277 (forall @t87 (=> (forall @t138 (=> @t336 (_ @t335 @t82))) @t457))) % 0.46/1.01 (assume @p278 (forall @t303 (= (_ (_ tptp.ord_less_eq_a_o @t275) @t188) (and (_ (_ tptp.ord_less_eq_a_o @t194) @t188) (_ (_ tptp.ord_less_eq_a_o @t273) @t188))))) % 0.46/1.01 (assume @p279 (forall @t313 (= (_ (_ tptp.ord_less_eq_int @t279) @t219) (and (_ @t461 @t219) (_ (_ tptp.ord_less_eq_int @t277) @t219))))) % 0.46/1.01 (assume @p280 (forall @t308 (= (_ (_ tptp.ord_less_eq_set_a @t284) @t191) (and (_ @t462 @t191) (_ (_ tptp.ord_less_eq_set_a @t282) @t191))))) % 0.46/1.01 (assume @p281 (forall @t241 (= (_ (_ tptp.ord_less_eq_a_o @t209) @t238) (and (_ (_ tptp.ord_less_eq_a_o @t206) @t238) (_ (_ tptp.ord_less_eq_a_o @t205) @t238))))) % 0.46/1.01 (assume @p282 (forall @t245 (= (_ (_ tptp.ord_less_eq_int @t229) @t242) (and (_ @t459 @t242) (_ @t463 @t242))))) % 0.46/1.01 (assume @p283 (forall @t249 (= (_ (_ tptp.ord_less_eq_set_a @t215) @t246) (and (_ @t458 @t246) (_ @t464 @t246))))) % 0.46/1.01 (assume @p284 (forall @t105 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t68))) % 0.46/1.01 (assume @p285 (forall @t105 (= (_ @t456 tptp.bot_bot_set_a) @t112))) % 0.46/1.01 (assume @p286 (forall @t94 (= (_ (_ tptp.ord_less_eq_set_a @t95) @t82) (and @t98 @t457)))) % 0.46/1.01 (assume @p287 (forall @t161 (= (_ (_ tptp.ord_less_eq_set_a @t84) @t101) (and (_ @t456 @t101) (_ @t460 @t101))))) % 0.46/1.01 (assume @p288 (forall @t87 (=> @t457 (=> (not @t158) @t333)))) % 0.46/1.01 (assume @p289 (forall (@list @t18 @t68 @t17) (= (= @t70 @t170) @t465))) % 0.46/1.01 (assume @p290 (forall (@list @t17 @t18 @t68) (= (= @t170 @t70) @t465))) % 0.46/1.01 (assume @p291 (forall @t87 (= (= @t89 tptp.bot_bot_set_a) @t457))) % 0.46/1.01 (assume @p292 (forall (@list @t211 @t212) (=> (_ @t464 @t212) (not @t358)))) % 0.46/1.01 (assume @p293 (forall @t369 (=> @t466 @t349))) % 0.46/1.01 (assume @p294 (forall @t230 (=> @t349 @t466))) % 0.46/1.01 (assume @p295 (= tptp.ord_less_set_a (lambda @t258 (and (_ (_ tptp.ord_less_eq_set_a @t256) @t257) (not @t467))))) % 0.46/1.01 (assume @p296 (= tptp.ord_less_int (lambda @t255 (and (_ (_ tptp.ord_less_eq_int @t253) @t254) (not @t468))))) % 0.46/1.01 (assume @p297 (forall @t422 (=> (_ @t469 @t381) @t420))) % 0.46/1.01 (assume @p298 (forall @t424 (=> (_ @t469 @t403) @t423))) % 0.46/1.01 (assume @p299 (forall @t418 (=> (_ @t470 @t394) @t416))) % 0.46/1.01 (assume @p300 (forall @t428 (=> (_ @t470 @t412) @t426))) % 0.46/1.01 (assume @p301 (forall @t405 (=> @t472 (=> @t404 (=> (forall @t391 (=> @t471 (_ (_ tptp.ord_less_eq_set_a @t400) @t399))) @t398))))) % 0.46/1.01 (assume @p302 (forall @t396 (=> @t472 (=> @t395 (=> @t473 @t385))))) % 0.46/1.01 (assume @p303 (forall @t383 (=> @t476 (=> @t382 (=> @t475 @t373))))) % 0.46/1.01 (assume @p304 (forall @t414 (=> @t476 (=> @t413 (=> @t477 @t407))))) % 0.46/1.01 (assume @p305 (forall @t418 (=> @t417 (=> (_ @t462 @t282) (=> @t473 @t415))))) % 0.46/1.01 (assume @p306 (forall @t422 (=> @t421 (=> @t478 (=> @t475 @t419))))) % 0.46/1.01 (assume @p307 (forall @t428 (=> @t427 (=> @t478 (=> @t477 @t425))))) % 0.46/1.01 (assume @p308 (forall @t414 (=> @t326 (=> (_ (_ tptp.ord_less_eq_int @t412) @t277) @t411)))) % 0.46/1.01 (assume @p309 (forall @t230 (= (not @t479) @t347))) % 0.46/1.01 (assume @p310 (forall @t230 (= @t349 @t466))) % 0.46/1.01 (assume @p311 (forall @t227 (=> @t476 (=> @t341 @t326)))) % 0.46/1.01 (assume @p312 (forall @t230 (=> @t349 (= @t479 @t345)))) % 0.46/1.01 (assume @p313 (forall @t230 (=> @t479 @t368))) % 0.46/1.01 (assume @p314 (forall (@list @t367) (or (= @t367 true) (= @t367 false)))) % 0.46/1.01 (assume @p315 (forall @t480 (= (_ (_ (_ tptp.if_a false) @t31) @t152) @t152))) % 0.46/1.01 (assume @p316 (forall @t480 (= (_ (_ (_ tptp.if_a true) @t31) @t152) @t31))) % 0.46/1.01 (assume @p317 @t485) % 0.46/1.01 (assume @p318 true) % 0.46/1.01 (step @p319 (= tptp.binary504661350_eqs_a @t489) :rule refl :args (@t489)) % 0.46/1.01 (step @p320 (= tptp.binary670562003pred_a @t493) :rule refl :args (@t493)) % 0.46/1.01 (step @p321 (= tptp.insert_a @t494) :rule refl :args (@t494)) % 0.46/1.01 (step @p322 (= tptp.sup_sup_set_a @t495) :rule refl :args (@t495)) % 0.46/1.01 (step @p323 (= tptp.minus_minus_set_a @t496) :rule refl :args (@t496)) % 0.46/1.01 (step @p324 (= tptp.minus_minus_a_o @t499) :rule refl :args (@t499)) % 0.46/1.01 (step @p325 (= tptp.sup_sup_a_o @t502) :rule refl :args (@t502)) % 0.46/1.01 (step @p326 (= tptp.ord_less_a_o @t503) :rule refl :args (@t503)) % 0.46/1.01 (step @p327 (= tptp.ord_less_set_a @t504) :rule refl :args (@t504)) % 0.46/1.01 (step @p328 (= tptp.ord_less_int @t506) :rule refl :args (@t506)) % 0.46/1.01 (step @p329 (= tptp.bot_bot_a_o @t507) :rule refl :args (@t507)) % 0.46/1.01 (step @p330 (= tptp.is_singleton_a @t508) :rule refl :args (@t508)) % 0.46/1.01 (step @p331 (= tptp.remove_a @t509) :rule refl :args (@t509)) % 0.46/1.01 (step @p332 (= tptp.is_empty_a @t510) :rule refl :args (@t510)) % 0.46/1.01 (step @p333 (= tptp.the_elem_a @t512) :rule refl :args (@t512)) % 0.46/1.01 (step @p334 (= tptp.if_a @t515) :rule refl :args (@t515)) % 0.46/1.01 (step @p335 (= tptp.pairwise_a @t518) :rule refl :args (@t518)) % 0.46/1.01 (step @p336 (= tptp.ord_less_eq_set_a @t519) :rule refl :args (@t519)) % 0.46/1.01 (step @p337 (= tptp.ord_less_eq_int @t520) :rule refl :args (@t520)) % 0.46/1.01 (step @p338 :rule refl :args (@t521)) % 0.46/1.01 (step @p339 :rule refl :args (@t481)) % 0.46/1.01 (step @p340 :rule cong :premises (@p339 @p338) :args ((= @t481 @t521))) % 0.46/1.01 (step @p341 :rule symm :premises (@p340)) % 0.46/1.01 (step @p342 :rule eq_resolve :premises (@p339 @p341)) % 0.46/1.01 (step @p343 :rule refl :args (@t522)) % 0.46/1.01 (step @p344 :rule refl :args (@t1)) % 0.46/1.01 (step @p345 :rule cong :premises (@p344 @p343) :args ((= @t1 @t522))) % 0.46/1.01 (step @p346 :rule symm :premises (@p345)) % 0.46/1.01 (step @p347 :rule eq_resolve :premises (@p344 @p346)) % 0.46/1.01 (step @p348 :rule cong :premises (@p347 @p342) :args (@t523)) % 0.46/1.01 (step @p349 :rule cong :premises (@p348) :args (@t524)) % 0.46/1.01 (step @p350 :rule refl :args ((tptp.member_a @t135 @t528))) % 0.46/1.01 (step @p351 :rule refl :args ((tptp.collect_a @t527))) % 0.46/1.01 (step @p352 :rule refl :args (@t529)) % 0.46/1.01 (step @p353 :rule refl :args (@t530)) % 0.46/1.01 (step @p354 :rule cong :premises (@p353 @p352) :args (@t531)) % 0.46/1.01 (step @p355 :rule cong :premises (@p354) :args (@t532)) % 0.46/1.01 (step @p356 :rule cong :premises (@p355) :args (@t533)) % 0.46/1.01 (step @p357 :rule trans :premises (@p356 @p351)) % 0.46/1.01 (step @p358 :rule refl :args (@t135)) % 0.46/1.01 (step @p359 :rule cong :premises (@p358 @p357) :args (@t534)) % 0.46/1.01 (step @p360 :rule trans :premises (@p359 @p350)) % 0.46/1.01 (step @p361 :rule refl :args (@t335)) % 0.46/1.01 (step @p362 :rule ho_cong :premises (@p361 @p357)) % 0.46/1.01 (step @p363 :rule cong :premises (@p362 @p360) :args ((= (_ @t335 @t533) @t534))) % 0.46/1.01 (step @p364 :rule symm :premises (@p363)) % 0.46/1.01 (step @p365 :rule refl :args (@t535)) % 0.46/1.01 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 0.46/1.01 (step @p367 :rule refl :args (tptp.collect_a)) % 0.46/1.01 (step @p368 :rule ho_cong :premises (@p367 @p355)) % 0.46/1.01 (step @p369 :rule cong :premises (@p368 @p357) :args ((= (_ tptp.collect_a @t532) @t533))) % 0.46/1.01 (step @p370 :rule symm :premises (@p369)) % 0.46/1.01 (step @p371 :rule refl :args (@t528)) % 0.46/1.01 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 0.46/1.01 (step @p373 :rule refl :args (@t525)) % 0.46/1.01 (step @p374 :rule cong :premises (@p373 @p352) :args ((= @t525 @t529))) % 0.46/1.01 (step @p375 :rule symm :premises (@p374)) % 0.46/1.01 (step @p376 :rule eq_resolve :premises (@p373 @p375)) % 0.46/1.01 (step @p377 :rule refl :args (@t9)) % 0.46/1.01 (step @p378 :rule cong :premises (@p377 @p353) :args ((= @t9 @t530))) % 0.46/1.01 (step @p379 :rule symm :premises (@p378)) % 0.46/1.01 (step @p380 :rule eq_resolve :premises (@p377 @p379)) % 0.46/1.01 (step @p381 :rule cong :premises (@p380 @p376) :args (@t526)) % 0.46/1.01 (step @p382 :rule cong :premises (@p381) :args (@t527)) % 0.46/1.01 (step @p383 :rule ho_cong :premises (@p367 @p382)) % 0.46/1.01 (step @p384 :rule trans :premises (@p383 @p372)) % 0.46/1.01 (step @p385 :rule ho_cong :premises (@p361 @p384)) % 0.46/1.01 (step @p386 :rule trans :premises (@p385 @p366)) % 0.46/1.01 (step @p387 :rule cong :premises (@p386) :args (@t536)) % 0.46/1.01 (step @p388 :rule nary_cong :premises (@p387 @p349) :args (@t537)) % 0.46/1.01 (step @p389 :rule cong :premises (@p388) :args ((forall @t138 @t537))) % 0.46/1.01 (step @p390 :rule bool-impl-elim :args (@t535 @t524)) % 0.46/1.01 (step @p391 :rule cong :premises (@p390) :args ((forall @t138 (=> @t535 @t524)))) % 0.46/1.01 (step @p392 :rule trans :premises (@p391 @p389)) % 0.46/1.01 (step @p393 :rule eq-symm :args (@t481 @t1)) % 0.46/1.01 (step @p394 :rule cong :premises (@p393) :args (@t482)) % 0.46/1.01 (step @p395 :rule eq-symm :args (@t525 @t9)) % 0.46/1.01 (step @p396 :rule cong :premises (@p395) :args (@t538)) % 0.46/1.01 (step @p397 :rule refl :args (tptp.collect_a)) % 0.46/1.01 (step @p398 :rule ho_cong :premises (@p397 @p396)) % 0.46/1.01 (step @p399 :rule beta-reduce :args ((= (_ @t539 tptp.e) (_ tptp.collect_a @t538)))) % 0.46/1.01 (step @p400 :rule trans :premises (@p399 @p398)) % 0.46/1.01 (step @p401 :rule refl :args (tptp.e)) % 0.46/1.01 (step @p402 :rule beta-reduce :args ((= @t540 @t539))) % 0.46/1.01 (step @p403 :rule ho_cong :premises (@p402 @p401)) % 0.46/1.01 (step @p404 :rule trans :premises (@p403 @p400)) % 0.46/1.01 (step @p405 :rule refl :args (@t335)) % 0.46/1.01 (step @p406 :rule ho_cong :premises (@p405 @p404)) % 0.46/1.01 (step @p407 :rule cong :premises (@p406 @p394) :args (@t542)) % 0.46/1.01 (step @p408 :rule cong :premises (@p407) :args (@t543)) % 0.46/1.01 (step @p409 :rule trans :premises (@p408 @p392)) % 0.46/1.01 (step @p410 :rule cong :premises (@p409) :args ((not @t543))) % 0.46/1.01 (step @p411 :rule refl :args (@t482)) % 0.46/1.01 (step @p412 :rule refl :args (tptp.h)) % 0.46/1.01 (step @p413 :rule ho_cong :premises (@p319 @p412)) % 0.46/1.01 (step @p414 :rule ho_cong :premises (@p413 @p401)) % 0.46/1.01 (step @p415 :rule ho_cong :premises (@p405 @p414)) % 0.46/1.01 (step @p416 :rule cong :premises (@p415 @p411) :args (@t483)) % 0.46/1.01 (step @p417 :rule cong :premises (@p416) :args (@t484)) % 0.46/1.01 (step @p418 :rule cong :premises (@p417) :args (@t485)) % 0.46/1.01 (step @p419 :rule trans :premises (@p418 @p410)) % 0.46/1.01 (step @p420 :rule eq_resolve :premises (@p317 @p419)) % 0.46/1.01 (step @p421 :rule refl :args (@t553)) % 0.46/1.01 (step @p422 :rule bool-double-not-elim :args (@t544)) % 0.46/1.01 (step @p423 :rule nary_cong :premises (@p422 @p421) :args ((or (not @t554) @t553))) % 0.46/1.01 (step @p424 :rule refl :args (@t548)) % 0.46/1.01 (step @p425 :rule eq-refl :args (@t532)) % 0.46/1.01 (step @p426 :rule skolem_intro :args (@t549)) % 0.46/1.01 (step @p427 :rule refl :args (@t532)) % 0.46/1.01 (step @p428 :rule cong :premises (@p427 @p426) :args ((= @t532 @t549))) % 0.46/1.01 (step @p429 :rule trans :premises (@p428 @p425)) % 0.46/1.01 (step @p430 :rule true_elim :premises (@p429)) % 0.46/1.01 (step @p431 :rule cong :premises (@p430) :args (@t533)) % 0.46/1.01 (step @p432 :rule refl :args (@t545)) % 0.46/1.01 (step @p433 :rule cong :premises (@p432 @p431) :args (@t555)) % 0.46/1.01 (step @p434 :rule cong :premises (@p433) :args (@t556)) % 0.46/1.01 (step @p435 :rule nary_cong :premises (@p434 @p424) :args (@t557)) % 0.46/1.01 (step @p436 :rule cong :premises (@p435) :args (@t558)) % 0.46/1.01 (step @p437 :rule refl :args (@t554)) % 0.46/1.01 (step @p438 :rule cong :premises (@p437 @p436) :args ((=> @t554 @t558))) % 0.46/1.01 (assume-push @p549 @t554) % 0.46/1.01 (step @p440 :rule skolemize :premises (@p420)) % 0.46/1.01 (step-pop @p550 :rule scope :premises (@p440)) % 0.46/1.01 (step @p441 :rule process_scope :premises (@p550) :args (@t558)) % 0.46/1.01 (step @p443 :rule eq_resolve :premises (@p441 @p438)) % 0.46/1.01 (step @p444 :rule implies_elim :premises (@p443)) % 0.46/1.01 (step @p445 :rule eq_resolve :premises (@p444 @p423)) % 0.46/1.01 (step @p446 :rule chain_m_resolution :premises (@p445 @p420) :args (@t553 @t559 (@list @t544))) % 0.46/1.01 (step @p447 :rule bool-double-not-elim :args (@t550)) % 0.46/1.01 (step @p448 :rule refl :args (@t552)) % 0.46/1.01 (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t552 (not @t551)))) % 0.46/1.01 (step @p450 :rule cnf_or_neg :args (@t552 0)) % 0.46/1.01 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 0.46/1.01 (step @p452 :rule reordering :premises (@p451) :args ((or @t550 @t552))) % 0.46/1.01 (step @p453 :rule chain_m_resolution :premises (@p452 @p446) :args (@t550 @t559 @t560)) % 0.46/1.01 (step @p454 :rule bool-double-not-elim :args (@t547)) % 0.46/1.01 (step @p455 :rule nary_cong :premises (@p448 @p454) :args ((or @t552 (not @t548)))) % 0.46/1.01 (step @p456 :rule cnf_or_neg :args (@t552 1)) % 0.46/1.01 (step @p457 :rule eq_resolve :premises (@p456 @p455)) % 0.46/1.01 (step @p458 :rule reordering :premises (@p457) :args ((or @t547 @t552))) % 0.46/1.01 (step @p459 :rule chain_m_resolution :premises (@p458 @p446) :args (@t547 @t559 @t560)) % 0.46/1.01 (step @p460 :rule cnf_and_pos :args (@t561 1)) % 0.46/1.01 (step @p461 :rule reordering :premises (@p460) :args ((or @t548 @t562))) % 0.46/1.01 (step @p462 :rule chain_m_resolution :premises (@p461 @p459) :args (@t562 @t563 (@list @t547))) % 0.46/1.01 (step @p463 :rule eq-symm :args (@t564 @t522)) % 0.46/1.01 (step @p464 :rule cong :premises (@p463) :args (@t565)) % 0.46/1.01 (step @p465 :rule refl :args (@t567)) % 0.46/1.01 (step @p466 :rule nary_cong :premises (@p465 @p464) :args (@t568)) % 0.46/1.01 (step @p467 :rule refl :args (@t570)) % 0.46/1.01 (step @p468 :rule nary_cong :premises (@p467 @p466) :args (@t571)) % 0.46/1.01 (step @p469 :rule cong :premises (@p468) :args ((forall @t7 @t571))) % 0.46/1.01 (step @p470 :rule refl :args (@t564)) % 0.46/1.01 (step @p471 :rule refl :args (@t3)) % 0.46/1.01 (step @p472 :rule cong :premises (@p471 @p470) :args ((= @t3 @t564))) % 0.46/1.01 (step @p473 :rule symm :premises (@p472)) % 0.46/1.01 (step @p474 :rule eq_resolve :premises (@p471 @p473)) % 0.46/1.01 (step @p475 :rule cong :premises (@p474 @p347) :args (@t572)) % 0.46/1.01 (step @p476 :rule cong :premises (@p475) :args (@t573)) % 0.46/1.01 (step @p477 :rule refl :args ((tptp.sup_sup_int @t1 @t3))) % 0.46/1.01 (step @p478 :rule cong :premises (@p343 @p470) :args (@t566)) % 0.46/1.01 (step @p479 :rule trans :premises (@p478 @p477)) % 0.46/1.01 (step @p480 :rule refl :args (tptp.sup_sup_int)) % 0.46/1.01 (step @p481 :rule ho_cong :premises (@p480 @p343)) % 0.46/1.01 (step @p482 :rule ho_cong :premises (@p481 @p470)) % 0.46/1.01 (step @p483 :rule cong :premises (@p482 @p479) :args ((= (_ (_ tptp.sup_sup_int @t522) @t564) @t566))) % 0.46/1.01 (step @p484 :rule symm :premises (@p483)) % 0.46/1.01 (step @p485 :rule refl :args (@t574)) % 0.46/1.01 (step @p486 :rule eq_resolve :premises (@p485 @p484)) % 0.46/1.01 (step @p487 :rule ho_cong :premises (@p480 @p347)) % 0.46/1.01 (step @p488 :rule ho_cong :premises (@p487 @p474)) % 0.46/1.01 (step @p489 :rule trans :premises (@p488 @p486)) % 0.46/1.01 (step @p490 :rule cong :premises (@p347 @p489) :args (@t575)) % 0.46/1.01 (step @p491 :rule nary_cong :premises (@p490 @p476) :args (@t576)) % 0.46/1.01 (step @p492 :rule refl :args ((tptp.member_a @t2 @t528))) % 0.46/1.01 (step @p493 :rule refl :args (@t2)) % 0.46/1.01 (step @p494 :rule cong :premises (@p493 @p357) :args (@t569)) % 0.46/1.01 (step @p495 :rule trans :premises (@p494 @p492)) % 0.46/1.01 (step @p496 :rule refl :args (@t5)) % 0.46/1.01 (step @p497 :rule ho_cong :premises (@p496 @p357)) % 0.46/1.01 (step @p498 :rule cong :premises (@p497 @p495) :args ((= (_ @t5 @t533) @t569))) % 0.46/1.01 (step @p499 :rule symm :premises (@p498)) % 0.46/1.01 (step @p500 :rule refl :args (@t577)) % 0.46/1.01 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 0.46/1.01 (step @p502 :rule ho_cong :premises (@p496 @p384)) % 0.46/1.01 (step @p503 :rule trans :premises (@p502 @p501)) % 0.46/1.01 (step @p504 :rule cong :premises (@p503) :args (@t578)) % 0.46/1.01 (step @p505 :rule nary_cong :premises (@p504 @p491) :args (@t579)) % 0.46/1.01 (step @p506 :rule cong :premises (@p505) :args ((forall @t7 @t579))) % 0.46/1.01 (step @p507 :rule trans :premises (@p506 @p469)) % 0.46/1.01 (step @p508 :rule bool-impl-elim :args (@t577 @t576)) % 0.46/1.01 (step @p509 :rule cong :premises (@p508) :args ((forall @t7 (=> @t577 @t576)))) % 0.46/1.01 (step @p510 :rule trans :premises (@p509 @p507)) % 0.46/1.01 (step @p511 :rule beta-reduce :args ((= (_ (lambda @t581 (and @t580 (not (= @t3 @t289)))) @t1) @t576))) % 0.46/1.01 (step @p512 :rule refl :args (@t1)) % 0.46/1.01 (step @p513 :rule eq-symm :args (@t289 @t3)) % 0.46/1.01 (step @p514 :rule cong :premises (@p513) :args (@t582)) % 0.46/1.01 (step @p515 :rule refl :args (@t580)) % 0.46/1.01 (step @p516 :rule nary_cong :premises (@p515 @p514) :args (@t583)) % 0.46/1.01 (step @p517 :rule cong :premises (@p516) :args (@t584)) % 0.46/1.01 (step @p518 :rule beta-reduce :args ((= @t585 @t584))) % 0.46/1.01 (step @p519 :rule trans :premises (@p518 @p517)) % 0.46/1.01 (step @p520 :rule ho_cong :premises (@p519 @p512)) % 0.46/1.01 (step @p521 :rule trans :premises (@p520 @p511)) % 0.46/1.01 (step @p522 :rule refl :args (@t5)) % 0.46/1.01 (step @p523 :rule ho_cong :premises (@p522 @p404)) % 0.46/1.01 (step @p524 :rule cong :premises (@p523 @p521) :args (@t586)) % 0.46/1.01 (step @p525 :rule cong :premises (@p524) :args ((forall @t7 @t586))) % 0.46/1.01 (step @p526 :rule trans :premises (@p525 @p510)) % 0.46/1.01 (step @p527 :rule refl :args (@t3)) % 0.46/1.01 (step @p528 :rule ho_cong :premises (@p328 @p527)) % 0.46/1.01 (step @p529 :rule ho_cong :premises (@p528 @p512)) % 0.46/1.01 (step @p530 :rule ho_cong :premises (@p522 @p414)) % 0.46/1.01 (step @p531 :rule cong :premises (@p530 @p529) :args (@t6)) % 0.46/1.01 (step @p532 :rule cong :premises (@p531) :args (@t8)) % 0.46/1.01 (step @p533 :rule trans :premises (@p532 @p526)) % 0.46/1.01 (step @p534 :rule eq_resolve :premises (@p1 @p533)) % 0.46/1.01 (step @p535 :rule refl :args (@t561)) % 0.46/1.01 (step @p536 :rule nary_cong :premises (@p434 @p535) :args (@t587)) % 0.46/1.01 (step @p537 :rule refl :args (@t588)) % 0.46/1.01 (step @p538 :rule cong :premises (@p537 @p536) :args ((=> @t588 @t587))) % 0.46/1.01 (assume-push @p551 @t588) % 0.46/1.01 (step @p540 :rule instantiate :premises (@p534) :args ((@list @t545))) % 0.46/1.01 (step-pop @p552 :rule scope :premises (@p540)) % 0.46/1.01 (step @p541 :rule process_scope :premises (@p552) :args (@t587)) % 0.46/1.01 (step @p543 :rule eq_resolve :premises (@p541 @p538)) % 0.46/1.01 (step @p544 :rule implies_elim :premises (@p543)) % 0.46/1.01 (step @p545 :rule chain_m_resolution :premises (@p544 @p534) :args (@t589 @t563 (@list @t588))) % 0.46/1.01 (step @p546 :rule cnf_or_pos :args (@t589)) % 0.46/1.01 (step @p547 :rule reordering :premises (@p546) :args ((or @t551 @t561 (not @t589)))) % 0.46/1.01 (step @p548 false :rule chain_m_resolution :premises (@p547 @p545 @p462 @p453) :args (false (@list false true false) (@list @t589 @t561 @t550))) % 0.46/1.01 ) % 0.46/1.01 % SZS output end Proof % 0.46/1.01 % cvc5 exiting %------------------------------------------------------------------------------