%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP149^1 : 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 : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:12 AM UTC 2026 % Result : Theorem 173.03s 173.43s % Output : Proof 173.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP149^1 : 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 : n027.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:16:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.60 %----Proving TH0 % 173.03/173.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 173.03/173.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 173.03/173.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 173.03/173.43 --- Run --ho-elim --full-saturate-quant at 18s... % 173.03/173.43 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 173.03/173.43 % SZS status Theorem % 173.03/173.43 % SZS output start Proof % 173.03/173.43 ( % 173.03/173.43 (declare-sort tptp.a 0) % 173.03/173.43 (declare-sort tptp.set_a 0) % 173.03/173.43 (declare-sort tptp.set_real 0) % 173.03/173.43 (declare-sort tptp.set_set_real 0) % 173.03/173.43 (declare-sort tptp.real 0) % 173.03/173.43 (declare-sort tptp.bounde7994401a_real 0) % 173.03/173.43 (declare-sort tptp.set_set_a 0) % 173.03/173.43 (declare-const tptp.ord_less_eq_real (-> tptp.real tptp.real Bool)) % 173.03/173.43 (declare-const tptp.uminus_uminus_a (-> tptp.a tptp.a)) % 173.03/173.43 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 173.03/173.43 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 173.03/173.43 (declare-const tptp.top_top_set_a tptp.set_a) % 173.03/173.43 (declare-const tptp.top_top_set_real tptp.set_real) % 173.03/173.43 (declare-const tptp.initia826609931terval (-> tptp.set_real Bool)) % 173.03/173.43 (declare-const tptp.uminus_uminus_set_a (-> tptp.set_a tptp.set_a)) % 173.03/173.43 (declare-const tptp.uminus_uminus_real (-> tptp.real tptp.real)) % 173.03/173.43 (declare-const tptp.period720806154rbit_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.a Bool)) % 173.03/173.43 (declare-const tptp.ord_le1733505144t_real (-> tptp.set_set_real tptp.set_set_real Bool)) % 173.03/173.43 (declare-const tptp.set_or1619725421t_real (-> tptp.set_real tptp.set_real tptp.set_set_real)) % 173.03/173.43 (declare-const tptp.ord_le318720350_set_a (-> tptp.set_set_a tptp.set_set_a Bool)) % 173.03/173.43 (declare-const tptp.oDE_au1996717075pped_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.a tptp.set_a Bool)) % 173.03/173.43 (declare-const tptp.set_or411607219Most_a (-> tptp.a tptp.a tptp.set_a)) % 173.03/173.43 (declare-const tptp.real_V1934908667t_real (-> tptp.real tptp.real tptp.real)) % 173.03/173.43 (declare-const tptp.auto_l630715367iant_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.set_a Bool)) % 173.03/173.43 (declare-const tptp.minus_minus_set_real (-> tptp.set_real tptp.set_real tptp.set_real)) % 173.03/173.43 (declare-const tptp.reacha1191408304tion_a (-> (-> tptp.a tptp.a) tptp.set_a (-> tptp.a tptp.real) (-> tptp.a tptp.bounde7994401a_real) tptp.set_a Bool)) % 173.03/173.43 (declare-const tptp.minus_minus_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 173.03/173.43 (declare-const tptp.real_V1514887919dist_a (-> tptp.a tptp.a tptp.real)) % 173.03/173.43 (declare-const tptp.thesis Bool) % 173.03/173.43 (declare-const tptp.f (-> tptp.a tptp.a)) % 173.03/173.43 (declare-const tptp.minus_minus_a (-> tptp.a tptp.a tptp.a)) % 173.03/173.43 (declare-const tptp.x tptp.set_a) % 173.03/173.43 (declare-const tptp.inner_1173012732nner_a (-> tptp.a tptp.a tptp.real)) % 173.03/173.43 (declare-const tptp.elemen1140313242l_real (-> tptp.real tptp.real tptp.set_real)) % 173.03/173.43 (declare-const tptp.a2 tptp.a) % 173.03/173.43 (declare-const tptp.b tptp.a) % 173.03/173.43 (declare-const tptp.period138238489rbit_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.a Bool)) % 173.03/173.43 (declare-const tptp.elemen49976720ball_a (-> tptp.a tptp.real tptp.set_a)) % 173.03/173.43 (declare-const tptp.period1305449585riod_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.a tptp.real)) % 173.03/173.43 (declare-const tptp.ord_less_set_set_a (-> tptp.set_set_a tptp.set_set_a Bool)) % 173.03/173.43 (declare-const tptp.x2 tptp.a) % 173.03/173.43 (declare-const tptp.poinca659159244_rot_a (-> tptp.a tptp.a)) % 173.03/173.43 (declare-const tptp.line_c1152468841ment_a (-> tptp.a tptp.a tptp.set_a)) % 173.03/173.43 (declare-const tptp.member_set_real (-> tptp.set_real tptp.set_set_real Bool)) % 173.03/173.43 (declare-const tptp.ord_le861030508t_real (-> tptp.set_set_real tptp.set_set_real Bool)) % 173.03/173.43 (declare-const tptp.s tptp.a) % 173.03/173.43 (declare-const tptp.set_or656347191t_real (-> tptp.real tptp.real tptp.set_real)) % 173.03/173.43 (declare-const tptp.zero_zero_real tptp.real) % 173.03/173.43 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 173.03/173.43 (declare-const tptp.d tptp.real) % 173.03/173.43 (declare-const tptp.zero_zero_a tptp.a) % 173.03/173.43 (declare-const tptp.z tptp.a) % 173.03/173.43 (declare-const tptp.collect_set_real (-> (-> tptp.set_real Bool) tptp.set_set_real)) % 173.03/173.43 (declare-const tptp.auto_l612940ivl0_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.a tptp.set_real)) % 173.03/173.43 (declare-const tptp.poinca522724647ment_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.a tptp.a Bool)) % 173.03/173.43 (declare-const tptp.line_open_segment_a (-> tptp.a tptp.a tptp.set_a)) % 173.03/173.43 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) % 173.03/173.43 (declare-const tptp.set_or2094724627_set_a (-> tptp.set_a tptp.set_a tptp.set_set_a)) % 173.03/173.43 (declare-const tptp.inner_4346926r_real (-> tptp.real tptp.real tptp.real)) % 173.03/173.43 (declare-const tptp.ord_less_a (-> tptp.a tptp.a Bool)) % 173.03/173.43 (declare-const tptp.minus_minus_real (-> tptp.real tptp.real tptp.real)) % 173.03/173.43 (declare-const tptp.ord_less_eq_a (-> tptp.a tptp.a Bool)) % 173.03/173.43 (declare-const tptp.uminus773214379t_real (-> tptp.set_real tptp.set_real)) % 173.03/173.43 (declare-const tptp.collect_set_a (-> (-> tptp.set_a Bool) tptp.set_set_a)) % 173.03/173.43 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 173.03/173.43 (define tptp.ord_less_real () (let ((_let_1 (@var "X3" tptp.real))) (let ((_let_2 (@var "Y3" tptp.real))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_real _let_1) _let_2) (not (_ (_ tptp.ord_less_eq_real _let_2) _let_1))))))) % 173.03/173.43 (define tptp.uminus_uminus_a_a () (let ((_let_1 (@var "X3" tptp.a))) (let ((_let_2 (@var "A5" (-> tptp.a tptp.a)))) (lambda (@list _let_2 _let_1) (_ tptp.uminus_uminus_a (_ _let_2 _let_1)))))) % 173.03/173.43 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "T" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A5" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 173.03/173.43 (define tptp.ord_less_eq_set_real () (let ((_let_1 (@var "B5" tptp.set_real))) (let ((_let_2 (@var "T" tptp.real))) (let ((_let_3 (_ tptp.member_real _let_2))) (let ((_let_4 (@var "A5" tptp.set_real))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 173.03/173.43 (define tptp.ord_less_set_a () (let ((_let_1 (@var "A5" tptp.set_a))) (let ((_let_2 (@var "B5" 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))))))) % 173.03/173.43 (define tptp.ord_less_set_real () (let ((_let_1 (@var "A5" tptp.set_real))) (let ((_let_2 (@var "B5" tptp.set_real))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_set_real _let_1) _let_2) (not (_ (_ tptp.ord_less_eq_set_real _let_2) _let_1))))))) % 173.03/173.43 (define @t1 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 173.03/173.43 (define @t2 () (_ tptp.elemen49976720ball_a tptp.x2)) % 173.03/173.43 (define @t3 () (_ @t2 tptp.d)) % 173.03/173.43 (define @t4 () (_ (_ tptp.member_a tptp.s) @t3)) % 173.03/173.43 (define @t5 () (@var "Y" tptp.a)) % 173.03/173.43 (define @t6 () (@var "X" tptp.a)) % 173.03/173.43 (define @t7 () (_ tptp.minus_minus_a @t6)) % 173.03/173.43 (define @t8 () (_ @t7 @t5)) % 173.03/173.43 (define @t9 () (_ tptp.poinca659159244_rot_a @t8)) % 173.03/173.43 (define @t10 () (_ tptp.inner_1173012732nner_a @t8)) % 173.03/173.43 (define @t11 () (@list @t6 @t5)) % 173.03/173.43 (define @t12 () (_ tptp.member_a tptp.x2)) % 173.03/173.43 (define @t13 () (_ (_ tptp.minus_minus_a tptp.a2) tptp.b)) % 173.03/173.43 (define @t14 () (_ tptp.poinca659159244_rot_a @t13)) % 173.03/173.43 (define @t15 () (@var "X2" tptp.a)) % 173.03/173.43 (define @t16 () (_ tptp.f @t15)) % 173.03/173.43 (define @t17 () (_ tptp.inner_1173012732nner_a @t16)) % 173.03/173.43 (define @t18 () (_ @t17 @t14)) % 173.03/173.43 (define @t19 () (_ tptp.f tptp.s)) % 173.03/173.43 (define @t20 () (_ (_ tptp.inner_1173012732nner_a @t19) @t14)) % 173.03/173.43 (define @t21 () (_ (_ tptp.ord_less_eq_real @t20) @t18)) % 173.03/173.43 (define @t22 () (_ tptp.member_a @t15)) % 173.03/173.43 (define @t23 () (_ @t22 @t3)) % 173.03/173.43 (define @t24 () (@list @t15)) % 173.03/173.43 (define @t25 () (forall @t24 (=> @t23 @t21))) % 173.03/173.43 (define @t26 () (_ tptp.f tptp.x2)) % 173.03/173.43 (define @t27 () (_ tptp.f @t5)) % 173.03/173.43 (define @t28 () (not (= @t27 tptp.zero_zero_a))) % 173.03/173.43 (define @t29 () (_ tptp.member_a @t5)) % 173.03/173.43 (define @t30 () (_ @t29 tptp.x)) % 173.03/173.43 (define @t31 () (_ (_ tptp.inner_1173012732nner_a @t27) @t14)) % 173.03/173.43 (define @t32 () (and (_ @t1 @t31) @t30 @t28)) % 173.03/173.43 (define @t33 () (_ @t29 @t3)) % 173.03/173.43 (define @t34 () (=> @t33 @t32)) % 173.03/173.43 (define @t35 () (@list @t5)) % 173.03/173.43 (define @t36 () (forall @t35 @t34)) % 173.03/173.43 (define @t37 () (_ tptp.poinca659159244_rot_a @t6)) % 173.03/173.43 (define @t38 () (_ tptp.inner_1173012732nner_a @t6)) % 173.03/173.43 (define @t39 () (@list @t6)) % 173.03/173.43 (define @t40 () (@var "S" tptp.a)) % 173.03/173.43 (define @t41 () (_ (_ tptp.line_c1152468841ment_a tptp.a2) tptp.b)) % 173.03/173.43 (define @t42 () (@var "Y2" tptp.a)) % 173.03/173.43 (define @t43 () (_ tptp.f @t42)) % 173.03/173.43 (define @t44 () (_ tptp.member_a @t42)) % 173.03/173.43 (define @t45 () (@var "D" tptp.real)) % 173.03/173.43 (define @t46 () (_ (_ tptp.poinca522724647ment_a tptp.f) tptp.x)) % 173.03/173.43 (define @t47 () (@var "X" tptp.real)) % 173.03/173.43 (define @t48 () (= @t47 tptp.zero_zero_real)) % 173.03/173.43 (define @t49 () (_ tptp.inner_4346926r_real @t47)) % 173.03/173.43 (define @t50 () (_ @t49 @t47)) % 173.03/173.43 (define @t51 () (@list @t47)) % 173.03/173.43 (define @t52 () (= @t6 tptp.zero_zero_a)) % 173.03/173.43 (define @t53 () (_ @t38 @t6)) % 173.03/173.43 (define @t54 () (@var "E" tptp.real)) % 173.03/173.43 (define @t55 () (_ tptp.ord_less_eq_real tptp.zero_zero_real)) % 173.03/173.43 (define @t56 () (_ @t55 @t54)) % 173.03/173.43 (define @t57 () (_ tptp.elemen1140313242l_real @t47)) % 173.03/173.43 (define @t58 () (_ @t57 @t54)) % 173.03/173.43 (define @t59 () (_ tptp.member_real @t47)) % 173.03/173.43 (define @t60 () (_ tptp.elemen49976720ball_a @t6)) % 173.03/173.43 (define @t61 () (_ @t60 @t54)) % 173.03/173.43 (define @t62 () (_ tptp.member_a @t6)) % 173.03/173.43 (define @t63 () (@var "U" tptp.real)) % 173.03/173.43 (define @t64 () (@var "U" tptp.a)) % 173.03/173.43 (define @t65 () (@var "A" tptp.a)) % 173.03/173.43 (define @t66 () (@var "B" tptp.a)) % 173.03/173.43 (define @t67 () (_ tptp.ord_less_a @t66)) % 173.03/173.43 (define @t68 () (_ @t67 @t65)) % 173.03/173.43 (define @t69 () (_ tptp.minus_minus_a @t65)) % 173.03/173.43 (define @t70 () (_ @t69 @t66)) % 173.03/173.43 (define @t71 () (_ tptp.ord_less_a tptp.zero_zero_a)) % 173.03/173.43 (define @t72 () (@list @t65 @t66)) % 173.03/173.43 (define @t73 () (@var "A" tptp.real)) % 173.03/173.43 (define @t74 () (@var "B" tptp.real)) % 173.03/173.43 (define @t75 () (_ tptp.ord_less_real @t74)) % 173.03/173.43 (define @t76 () (_ @t75 @t73)) % 173.03/173.43 (define @t77 () (_ tptp.minus_minus_real @t73)) % 173.03/173.43 (define @t78 () (_ @t77 @t74)) % 173.03/173.43 (define @t79 () (@list @t73 @t74)) % 173.03/173.43 (define @t80 () (_ tptp.ord_less_eq_a @t66)) % 173.03/173.43 (define @t81 () (_ @t80 @t65)) % 173.03/173.43 (define @t82 () (_ tptp.ord_less_eq_a tptp.zero_zero_a)) % 173.03/173.43 (define @t83 () (_ tptp.ord_less_eq_real @t74)) % 173.03/173.43 (define @t84 () (_ @t83 @t73)) % 173.03/173.43 (define @t85 () (@var "Z" tptp.a)) % 173.03/173.43 (define @t86 () (_ tptp.inner_1173012732nner_a (_ tptp.f @t85))) % 173.03/173.43 (define @t87 () (_ tptp.member_a @t85)) % 173.03/173.43 (define @t88 () (_ (_ @t46 @t5) @t6)) % 173.03/173.43 (define @t89 () (_ (_ @t46 @t6) @t5)) % 173.03/173.43 (define @t90 () (_ tptp.poinca659159244_rot_a @t70)) % 173.03/173.43 (define @t91 () (_ (_ tptp.line_c1152468841ment_a @t65) @t66)) % 173.03/173.43 (define @t92 () (_ @t62 @t91)) % 173.03/173.43 (define @t93 () (_ tptp.minus_minus_a @t66)) % 173.03/173.43 (define @t94 () (_ @t93 @t65)) % 173.03/173.43 (define @t95 () (_ tptp.poinca659159244_rot_a @t94)) % 173.03/173.43 (define @t96 () (= (_ (_ tptp.inner_1173012732nner_a (_ @t7 @t65)) @t95) tptp.zero_zero_real)) % 173.03/173.43 (define @t97 () (@list @t65)) % 173.03/173.43 (define @t98 () (@list @t73)) % 173.03/173.43 (define @t99 () (@var "D2" tptp.real)) % 173.03/173.43 (define @t100 () (_ tptp.ord_less_eq_real @t99)) % 173.03/173.43 (define @t101 () (_ @t100 @t54)) % 173.03/173.43 (define @t102 () (_ @t60 @t99)) % 173.03/173.43 (define @t103 () (@var "X3" tptp.a)) % 173.03/173.43 (define @t104 () (_ tptp.member_a @t103)) % 173.03/173.43 (define @t105 () (@list @t103)) % 173.03/173.43 (define @t106 () (= @t65 @t66)) % 173.03/173.43 (define @t107 () (not @t106)) % 173.03/173.43 (define @t108 () (_ tptp.minus_minus_a @t5)) % 173.03/173.43 (define @t109 () (_ tptp.poinca659159244_rot_a (_ @t108 @t6))) % 173.03/173.43 (define @t110 () (@var "Z2" tptp.a)) % 173.03/173.43 (define @t111 () (_ tptp.inner_1173012732nner_a (_ tptp.f @t110))) % 173.03/173.43 (define @t112 () (_ (_ tptp.line_c1152468841ment_a @t6) @t5)) % 173.03/173.43 (define @t113 () (_ (_ tptp.member_a @t110) @t112)) % 173.03/173.43 (define @t114 () (@list @t110)) % 173.03/173.43 (define @t115 () (_ (_ tptp.ord_less_eq_set_a @t112) tptp.x)) % 173.03/173.43 (define @t116 () (= @t6 @t5)) % 173.03/173.43 (define @t117 () (not @t116)) % 173.03/173.43 (define @t118 () (_ @t86 @t9)) % 173.03/173.43 (define @t119 () (_ @t1 @t118)) % 173.03/173.43 (define @t120 () (_ @t87 @t112)) % 173.03/173.43 (define @t121 () (@list @t6 @t5 @t85)) % 173.03/173.43 (define @t122 () (_ (_ tptp.ord_less_real @t118) tptp.zero_zero_real)) % 173.03/173.43 (define @t123 () (@var "A" tptp.set_real)) % 173.03/173.43 (define @t124 () (@var "P" (-> tptp.set_real Bool))) % 173.03/173.43 (define @t125 () (@var "A" tptp.set_a)) % 173.03/173.43 (define @t126 () (@var "P" (-> tptp.set_a Bool))) % 173.03/173.43 (define @t127 () (@var "P" (-> tptp.a Bool))) % 173.03/173.43 (define @t128 () (_ tptp.collect_a @t127)) % 173.03/173.43 (define @t129 () (@var "P" (-> tptp.real Bool))) % 173.03/173.43 (define @t130 () (_ tptp.collect_real @t129)) % 173.03/173.43 (define @t131 () (@var "A2" tptp.set_set_real)) % 173.03/173.43 (define @t132 () (@var "X3" tptp.set_real)) % 173.03/173.43 (define @t133 () (@var "A2" tptp.set_set_a)) % 173.03/173.43 (define @t134 () (@var "X3" tptp.set_a)) % 173.03/173.43 (define @t135 () (@var "A2" tptp.set_a)) % 173.03/173.43 (define @t136 () (@list @t135)) % 173.03/173.43 (define @t137 () (@var "A2" tptp.set_real)) % 173.03/173.43 (define @t138 () (@var "X3" tptp.real)) % 173.03/173.43 (define @t139 () (_ tptp.member_real @t138)) % 173.03/173.43 (define @t140 () (@list @t138)) % 173.03/173.43 (define @t141 () (@list @t137)) % 173.03/173.43 (define @t142 () (@var "W" tptp.a)) % 173.03/173.43 (define @t143 () (_ tptp.poinca659159244_rot_a (_ (_ tptp.minus_minus_a @t142) @t5))) % 173.03/173.43 (define @t144 () (_ tptp.inner_1173012732nner_a (_ tptp.f @t142))) % 173.03/173.43 (define @t145 () (_ @t17 @t9)) % 173.03/173.43 (define @t146 () (_ @t22 @t112)) % 173.03/173.43 (define @t147 () (_ @t144 @t9)) % 173.03/173.43 (define @t148 () (_ (_ tptp.member_a @t142) @t112)) % 173.03/173.43 (define @t149 () (@list @t6 @t5 @t142)) % 173.03/173.43 (define @t150 () (@var "Za" tptp.a)) % 173.03/173.43 (define @t151 () (_ (_ tptp.inner_1173012732nner_a (_ tptp.f @t150)) @t9)) % 173.03/173.43 (define @t152 () (_ (_ tptp.member_a @t150) @t112)) % 173.03/173.43 (define @t153 () (@list @t6 @t5 @t150 @t85)) % 173.03/173.43 (define @t154 () (@var "C" tptp.a)) % 173.03/173.43 (define @t155 () (_ @t69 @t154)) % 173.03/173.43 (define @t156 () (@var "C" tptp.real)) % 173.03/173.43 (define @t157 () (_ @t77 @t156)) % 173.03/173.43 (define @t158 () (@var "D2" tptp.a)) % 173.03/173.43 (define @t159 () (_ tptp.minus_minus_a @t154)) % 173.03/173.43 (define @t160 () (= @t70 (_ @t159 @t158))) % 173.03/173.43 (define @t161 () (@list @t65 @t66 @t154 @t158)) % 173.03/173.43 (define @t162 () (= @t73 @t74)) % 173.03/173.43 (define @t163 () (_ tptp.minus_minus_real @t156)) % 173.03/173.43 (define @t164 () (= @t78 (_ @t163 @t99))) % 173.03/173.43 (define @t165 () (@list @t73 @t74 @t156 @t99)) % 173.03/173.43 (define @t166 () (@var "Y3" tptp.a)) % 173.03/173.43 (define @t167 () (@list @t103 @t166)) % 173.03/173.43 (define @t168 () (@var "B2" tptp.a)) % 173.03/173.43 (define @t169 () (@var "A3" tptp.a)) % 173.03/173.43 (define @t170 () (_ (_ tptp.minus_minus_a @t169) @t168)) % 173.03/173.43 (define @t171 () (@list @t169 @t168)) % 173.03/173.43 (define @t172 () (@var "Z3" tptp.a)) % 173.03/173.43 (define @t173 () (@var "Y4" tptp.a)) % 173.03/173.43 (define @t174 () (@var "B2" tptp.real)) % 173.03/173.43 (define @t175 () (@var "A3" tptp.real)) % 173.03/173.43 (define @t176 () (_ (_ tptp.minus_minus_real @t175) @t174)) % 173.03/173.43 (define @t177 () (@list @t175 @t174)) % 173.03/173.43 (define @t178 () (@var "Z3" tptp.real)) % 173.03/173.43 (define @t179 () (@var "Y4" tptp.real)) % 173.03/173.43 (define @t180 () (_ tptp.ord_less_eq_a @t154)) % 173.03/173.43 (define @t181 () (_ tptp.ord_less_eq_a @t65)) % 173.03/173.43 (define @t182 () (_ @t181 @t66)) % 173.03/173.43 (define @t183 () (_ tptp.ord_less_eq_real @t156)) % 173.03/173.43 (define @t184 () (_ @t183 @t99)) % 173.03/173.43 (define @t185 () (_ tptp.ord_less_eq_real @t73)) % 173.03/173.43 (define @t186 () (_ @t185 @t74)) % 173.03/173.43 (define @t187 () (_ @t93 @t154)) % 173.03/173.43 (define @t188 () (_ tptp.ord_less_eq_a @t155)) % 173.03/173.43 (define @t189 () (@list @t65 @t66 @t154)) % 173.03/173.43 (define @t190 () (_ tptp.minus_minus_real @t74)) % 173.03/173.43 (define @t191 () (_ @t190 @t156)) % 173.03/173.43 (define @t192 () (_ tptp.ord_less_eq_real @t157)) % 173.03/173.43 (define @t193 () (@list @t73 @t74 @t156)) % 173.03/173.43 (define @t194 () (_ @t159 @t66)) % 173.03/173.43 (define @t195 () (_ @t159 @t65)) % 173.03/173.43 (define @t196 () (@list @t66 @t65 @t154)) % 173.03/173.43 (define @t197 () (_ @t163 @t74)) % 173.03/173.43 (define @t198 () (_ @t163 @t73)) % 173.03/173.43 (define @t199 () (@list @t74 @t73 @t156)) % 173.03/173.43 (define @t200 () (_ @t93 @t158)) % 173.03/173.43 (define @t201 () (@list @t65 @t66 @t158 @t154)) % 173.03/173.43 (define @t202 () (_ @t190 @t99)) % 173.03/173.43 (define @t203 () (@list @t73 @t74 @t99 @t156)) % 173.03/173.43 (define @t204 () (_ tptp.ord_less_a @t155)) % 173.03/173.43 (define @t205 () (_ tptp.ord_less_a @t65)) % 173.03/173.43 (define @t206 () (_ @t205 @t66)) % 173.03/173.43 (define @t207 () (_ tptp.ord_less_real @t157)) % 173.03/173.43 (define @t208 () (_ tptp.ord_less_real @t73)) % 173.03/173.43 (define @t209 () (_ @t208 @t74)) % 173.03/173.43 (define @t210 () (_ tptp.ord_less_real @t156)) % 173.03/173.43 (define @t211 () (_ tptp.ord_less_real @t99)) % 173.03/173.43 (define @t212 () (@var "Z" tptp.real)) % 173.03/173.43 (define @t213 () (_ @t49 @t212)) % 173.03/173.43 (define @t214 () (@var "Y" tptp.real)) % 173.03/173.43 (define @t215 () (_ @t49 @t214)) % 173.03/173.43 (define @t216 () (@list @t47 @t214 @t212)) % 173.03/173.43 (define @t217 () (_ @t38 @t85)) % 173.03/173.43 (define @t218 () (_ @t38 @t5)) % 173.03/173.43 (define @t219 () (@var "F" tptp.real)) % 173.03/173.43 (define @t220 () (_ tptp.elemen1140313242l_real @t214)) % 173.03/173.43 (define @t221 () (_ (_ tptp.ord_less_eq_real @t54) @t219)) % 173.03/173.43 (define @t222 () (_ tptp.elemen49976720ball_a @t5)) % 173.03/173.43 (define @t223 () (_ @t222 @t54)) % 173.03/173.43 (define @t224 () (_ (_ (_ tptp.period1305449585riod_a tptp.f) tptp.x) @t6)) % 173.03/173.43 (define @t225 () (= @t224 tptp.zero_zero_real)) % 173.03/173.43 (define @t226 () (= (_ tptp.f @t6) tptp.zero_zero_a)) % 173.03/173.43 (define @t227 () (_ @t62 tptp.x)) % 173.03/173.43 (define @t228 () (@var "Y5" tptp.a)) % 173.03/173.43 (define @t229 () (@var "B3" tptp.real)) % 173.03/173.43 (define @t230 () (@var "X4" tptp.a)) % 173.03/173.43 (define @t231 () (_ tptp.member_a @t230)) % 173.03/173.43 (define @t232 () (_ tptp.inner_4346926r_real @t73)) % 173.03/173.43 (define @t233 () (_ @t55 @t73)) % 173.03/173.43 (define @t234 () (_ tptp.inner_1173012732nner_a @t65)) % 173.03/173.43 (define @t235 () (_ @t82 @t65)) % 173.03/173.43 (define @t236 () (_ tptp.inner_1173012732nner_a @t66)) % 173.03/173.43 (define @t237 () (@var "S3" tptp.set_a)) % 173.03/173.43 (define @t238 () (_ (_ tptp.ord_less_eq_set_a @t237) tptp.x)) % 173.03/173.43 (define @t239 () (@var "Ds" (-> tptp.a tptp.bounde7994401a_real))) % 173.03/173.43 (define @t240 () (@var "S2" (-> tptp.a tptp.real))) % 173.03/173.43 (define @t241 () (@list @t240 @t239 @t237)) % 173.03/173.43 (define @t242 () (@var "B4" tptp.a)) % 173.03/173.43 (define @t243 () (@var "A4" tptp.a)) % 173.03/173.43 (define @t244 () (not @t226)) % 173.03/173.43 (define @t245 () (@var "M" tptp.set_a)) % 173.03/173.43 (define @t246 () (_ (_ tptp.minus_minus_set_a tptp.x) @t245)) % 173.03/173.43 (define @t247 () (_ (_ tptp.auto_l630715367iant_a tptp.f) tptp.x)) % 173.03/173.43 (define @t248 () (_ @t247 @t245)) % 173.03/173.43 (define @t249 () (@list @t245)) % 173.03/173.43 (define @t250 () (@var "P" (-> tptp.real tptp.real Bool))) % 173.03/173.43 (define @t251 () (@var "B4" tptp.real)) % 173.03/173.43 (define @t252 () (@var "A4" tptp.real)) % 173.03/173.43 (define @t253 () (_ @t250 @t252)) % 173.03/173.43 (define @t254 () (_ @t253 @t251)) % 173.03/173.43 (define @t255 () (@var "D3" tptp.real)) % 173.03/173.43 (define @t256 () (@var "X4" tptp.real)) % 173.03/173.43 (define @t257 () (_ tptp.ord_less_eq_real @t256)) % 173.03/173.43 (define @t258 () (_ tptp.ord_less_eq_real @t252)) % 173.03/173.43 (define @t259 () (@list @t252 @t251)) % 173.03/173.43 (define @t260 () (_ @t1 @t255)) % 173.03/173.43 (define @t261 () (@list @t255)) % 173.03/173.43 (define @t262 () (@list @t256)) % 173.03/173.43 (define @t263 () (@var "C2" tptp.real)) % 173.03/173.43 (define @t264 () (_ tptp.real_V1514887919dist_a @t6)) % 173.03/173.43 (define @t265 () (_ @t264 @t5)) % 173.03/173.43 (define @t266 () (_ tptp.ord_less_eq_real @t265)) % 173.03/173.43 (define @t267 () (@list @t5 @t6 @t54)) % 173.03/173.43 (define @t268 () (@var "R" tptp.real)) % 173.03/173.43 (define @t269 () (@var "I" tptp.a)) % 173.03/173.43 (define @t270 () (_ @t38 @t269)) % 173.03/173.43 (define @t271 () (_ @t82 @t269)) % 173.03/173.43 (define @t272 () (_ (_ tptp.set_or411607219Most_a @t65) @t66)) % 173.03/173.43 (define @t273 () (_ @t62 @t272)) % 173.03/173.43 (define @t274 () (@list @t6 @t65 @t66 @t269)) % 173.03/173.43 (define @t275 () (@var "I" tptp.real)) % 173.03/173.43 (define @t276 () (_ @t49 @t275)) % 173.03/173.43 (define @t277 () (_ @t55 @t275)) % 173.03/173.43 (define @t278 () (_ (_ tptp.set_or656347191t_real @t73) @t74)) % 173.03/173.43 (define @t279 () (_ @t59 @t278)) % 173.03/173.43 (define @t280 () (@list @t47 @t73 @t74 @t275)) % 173.03/173.43 (define @t281 () (_ @t104 @t245)) % 173.03/173.43 (define @t282 () (_ @t1 @t224)) % 173.03/173.43 (define @t283 () (_ (_ (_ tptp.period138238489rbit_a tptp.f) tptp.x) @t6)) % 173.03/173.43 (define @t284 () (_ @t1 @t265)) % 173.03/173.43 (define @t285 () (@var "D2" tptp.set_a)) % 173.03/173.43 (define @t286 () (@var "B" tptp.set_a)) % 173.03/173.43 (define @t287 () (_ (_ tptp.ord_less_eq_set_a @t286) @t285)) % 173.03/173.43 (define @t288 () (@var "C" tptp.set_a)) % 173.03/173.43 (define @t289 () (_ tptp.ord_less_eq_set_a @t288)) % 173.03/173.43 (define @t290 () (_ @t289 @t125)) % 173.03/173.43 (define @t291 () (not (_ (_ tptp.ord_less_eq_set_a @t125) @t286))) % 173.03/173.43 (define @t292 () (_ (_ tptp.set_or2094724627_set_a @t288) @t285)) % 173.03/173.43 (define @t293 () (_ (_ tptp.set_or2094724627_set_a @t125) @t286)) % 173.03/173.43 (define @t294 () (@list @t125 @t286 @t288 @t285)) % 173.03/173.43 (define @t295 () (@var "D2" tptp.set_real)) % 173.03/173.43 (define @t296 () (@var "B" tptp.set_real)) % 173.03/173.43 (define @t297 () (_ (_ tptp.ord_less_eq_set_real @t296) @t295)) % 173.03/173.43 (define @t298 () (@var "C" tptp.set_real)) % 173.03/173.43 (define @t299 () (_ tptp.ord_less_eq_set_real @t298)) % 173.03/173.43 (define @t300 () (_ @t299 @t123)) % 173.03/173.43 (define @t301 () (not (_ (_ tptp.ord_less_eq_set_real @t123) @t296))) % 173.03/173.43 (define @t302 () (_ (_ tptp.set_or1619725421t_real @t298) @t295)) % 173.03/173.43 (define @t303 () (_ (_ tptp.set_or1619725421t_real @t123) @t296)) % 173.03/173.43 (define @t304 () (@list @t123 @t296 @t298 @t295)) % 173.03/173.43 (define @t305 () (_ @t83 @t99)) % 173.03/173.43 (define @t306 () (_ @t183 @t73)) % 173.03/173.43 (define @t307 () (not @t186)) % 173.03/173.43 (define @t308 () (_ (_ tptp.set_or656347191t_real @t156) @t99)) % 173.03/173.43 (define @t309 () (@var "U2" tptp.a)) % 173.03/173.43 (define @t310 () (@var "L" tptp.a)) % 173.03/173.43 (define @t311 () (@var "U2" tptp.set_a)) % 173.03/173.43 (define @t312 () (@var "I" tptp.set_a)) % 173.03/173.43 (define @t313 () (@var "L" tptp.set_a)) % 173.03/173.43 (define @t314 () (_ tptp.ord_less_eq_set_a @t313)) % 173.03/173.43 (define @t315 () (_ tptp.set_or2094724627_set_a @t313)) % 173.03/173.43 (define @t316 () (@var "U2" tptp.set_real)) % 173.03/173.43 (define @t317 () (@var "I" tptp.set_real)) % 173.03/173.43 (define @t318 () (@var "L" tptp.set_real)) % 173.03/173.43 (define @t319 () (_ tptp.ord_less_eq_set_real @t318)) % 173.03/173.43 (define @t320 () (_ tptp.set_or1619725421t_real @t318)) % 173.03/173.43 (define @t321 () (@var "U2" tptp.real)) % 173.03/173.43 (define @t322 () (@var "L" tptp.real)) % 173.03/173.43 (define @t323 () (_ tptp.ord_less_eq_real @t322)) % 173.03/173.43 (define @t324 () (_ tptp.set_or656347191t_real @t322)) % 173.03/173.43 (define @t325 () (@var "H2" tptp.set_a)) % 173.03/173.43 (define @t326 () (@var "L2" tptp.set_a)) % 173.03/173.43 (define @t327 () (@var "H" tptp.set_a)) % 173.03/173.43 (define @t328 () (@var "H2" tptp.set_real)) % 173.03/173.43 (define @t329 () (@var "L2" tptp.set_real)) % 173.03/173.43 (define @t330 () (@var "H" tptp.set_real)) % 173.03/173.43 (define @t331 () (@var "H2" tptp.real)) % 173.03/173.43 (define @t332 () (@var "L2" tptp.real)) % 173.03/173.43 (define @t333 () (@var "H" tptp.real)) % 173.03/173.43 (define @t334 () (_ tptp.ord_less_real @t265)) % 173.03/173.43 (define @t335 () (_ tptp.uminus_uminus_a_a tptp.f)) % 173.03/173.43 (define @t336 () (_ (_ (_ tptp.period1305449585riod_a @t335) tptp.x) @t6)) % 173.03/173.43 (define @t337 () (_ @t1 @t336)) % 173.03/173.43 (define @t338 () (_ (_ (_ tptp.period138238489rbit_a @t335) tptp.x) @t6)) % 173.03/173.43 (define @t339 () (_ (_ (_ tptp.period720806154rbit_a tptp.f) tptp.x) @t6)) % 173.03/173.43 (define @t340 () (= @t336 tptp.zero_zero_real)) % 173.03/173.43 (define @t341 () (= (_ @t335 @t6) tptp.zero_zero_a)) % 173.03/173.43 (define @t342 () (_ tptp.uminus_uminus_a @t65)) % 173.03/173.43 (define @t343 () (_ tptp.uminus_uminus_real @t73)) % 173.03/173.43 (define @t344 () (_ tptp.uminus_uminus_a @t66)) % 173.03/173.43 (define @t345 () (= @t342 @t344)) % 173.03/173.43 (define @t346 () (_ tptp.uminus_uminus_real @t74)) % 173.03/173.43 (define @t347 () (= @t343 @t346)) % 173.03/173.43 (define @t348 () (_ (_ (_ tptp.period720806154rbit_a @t335) tptp.x) @t6)) % 173.03/173.43 (define @t349 () (_ (_ tptp.auto_l630715367iant_a @t335) tptp.x)) % 173.03/173.43 (define @t350 () (_ @t349 @t245)) % 173.03/173.43 (define @t351 () (= @t73 tptp.zero_zero_real)) % 173.03/173.43 (define @t352 () (_ tptp.ord_less_eq_a @t344)) % 173.03/173.43 (define @t353 () (_ @t352 @t342)) % 173.03/173.43 (define @t354 () (@list @t66 @t65)) % 173.03/173.43 (define @t355 () (_ tptp.ord_less_eq_real @t346)) % 173.03/173.43 (define @t356 () (_ @t355 @t343)) % 173.03/173.43 (define @t357 () (@list @t74 @t73)) % 173.03/173.43 (define @t358 () (_ tptp.ord_less_a @t344)) % 173.03/173.43 (define @t359 () (_ @t358 @t342)) % 173.03/173.43 (define @t360 () (_ tptp.ord_less_real @t346)) % 173.03/173.43 (define @t361 () (_ @t360 @t343)) % 173.03/173.43 (define @t362 () (_ tptp.uminus_uminus_real @t215)) % 173.03/173.43 (define @t363 () (@list @t47 @t214)) % 173.03/173.43 (define @t364 () (_ tptp.uminus_uminus_real @t218)) % 173.03/173.43 (define @t365 () (_ @t185 tptp.zero_zero_real)) % 173.03/173.43 (define @t366 () (_ tptp.ord_less_eq_a @t342)) % 173.03/173.43 (define @t367 () (_ tptp.ord_less_eq_real @t343)) % 173.03/173.43 (define @t368 () (_ @t208 tptp.zero_zero_real)) % 173.03/173.43 (define @t369 () (_ @t1 @t73)) % 173.03/173.43 (define @t370 () (_ tptp.ord_less_real @t343)) % 173.03/173.43 (define @t371 () (_ tptp.ord_less_a @t342)) % 173.03/173.43 (define @t372 () (_ tptp.minus_minus_a tptp.zero_zero_a)) % 173.03/173.43 (define @t373 () (_ tptp.minus_minus_real tptp.zero_zero_real)) % 173.03/173.43 (define @t374 () (@list @t66)) % 173.03/173.43 (define @t375 () (@list @t74)) % 173.03/173.43 (define @t376 () (@var "B3" tptp.set_a)) % 173.03/173.43 (define @t377 () (_ tptp.ord_less_set_a @t135)) % 173.03/173.43 (define @t378 () (_ @t377 @t376)) % 173.03/173.43 (define @t379 () (= @t135 @t376)) % 173.03/173.43 (define @t380 () (_ tptp.ord_less_eq_set_a @t135)) % 173.03/173.43 (define @t381 () (_ @t380 @t376)) % 173.03/173.43 (define @t382 () (@list @t135 @t376)) % 173.03/173.43 (define @t383 () (@var "B3" tptp.set_real)) % 173.03/173.43 (define @t384 () (_ tptp.ord_less_set_real @t137)) % 173.03/173.43 (define @t385 () (_ @t384 @t383)) % 173.03/173.43 (define @t386 () (= @t137 @t383)) % 173.03/173.43 (define @t387 () (_ tptp.ord_less_eq_set_real @t137)) % 173.03/173.43 (define @t388 () (_ @t387 @t383)) % 173.03/173.43 (define @t389 () (@list @t137 @t383)) % 173.03/173.43 (define @t390 () (@var "X" tptp.set_a)) % 173.03/173.43 (define @t391 () (@var "Y" tptp.set_a)) % 173.03/173.43 (define @t392 () (_ tptp.ord_less_eq_set_a @t391)) % 173.03/173.43 (define @t393 () (_ tptp.uminus_uminus_set_a @t391)) % 173.03/173.43 (define @t394 () (_ tptp.uminus_uminus_set_a @t390)) % 173.03/173.43 (define @t395 () (_ tptp.ord_less_eq_set_a @t394)) % 173.03/173.43 (define @t396 () (@list @t390 @t391)) % 173.03/173.43 (define @t397 () (@var "X" tptp.set_real)) % 173.03/173.43 (define @t398 () (@var "Y" tptp.set_real)) % 173.03/173.43 (define @t399 () (_ tptp.ord_less_eq_set_real @t398)) % 173.03/173.43 (define @t400 () (_ tptp.uminus773214379t_real @t398)) % 173.03/173.43 (define @t401 () (_ tptp.uminus773214379t_real @t397)) % 173.03/173.43 (define @t402 () (_ tptp.ord_less_eq_set_real @t401)) % 173.03/173.43 (define @t403 () (@list @t397 @t398)) % 173.03/173.43 (define @t404 () (_ tptp.ord_less_eq_set_a @t376)) % 173.03/173.43 (define @t405 () (_ @t404 @t135)) % 173.03/173.43 (define @t406 () (_ tptp.uminus_uminus_set_a @t376)) % 173.03/173.43 (define @t407 () (_ tptp.uminus_uminus_set_a @t135)) % 173.03/173.43 (define @t408 () (_ tptp.ord_less_eq_set_real @t383)) % 173.03/173.43 (define @t409 () (_ @t408 @t137)) % 173.03/173.43 (define @t410 () (_ tptp.uminus773214379t_real @t383)) % 173.03/173.43 (define @t411 () (_ tptp.uminus773214379t_real @t137)) % 173.03/173.43 (define @t412 () (@list @t230)) % 173.03/173.43 (define @t413 () (_ tptp.member_real @t256)) % 173.03/173.43 (define @t414 () (_ (_ tptp.minus_minus_set_a @t135) @t376)) % 173.03/173.43 (define @t415 () (_ tptp.member_real @t156)) % 173.03/173.43 (define @t416 () (_ @t415 @t383)) % 173.03/173.43 (define @t417 () (not @t416)) % 173.03/173.43 (define @t418 () (_ @t415 @t137)) % 173.03/173.43 (define @t419 () (_ (_ tptp.minus_minus_set_real @t137) @t383)) % 173.03/173.43 (define @t420 () (_ @t415 @t419)) % 173.03/173.43 (define @t421 () (@list @t156 @t137 @t383)) % 173.03/173.43 (define @t422 () (_ tptp.member_a @t154)) % 173.03/173.43 (define @t423 () (_ @t422 @t376)) % 173.03/173.43 (define @t424 () (not @t423)) % 173.03/173.43 (define @t425 () (_ @t422 @t135)) % 173.03/173.43 (define @t426 () (_ @t422 @t414)) % 173.03/173.43 (define @t427 () (@list @t154 @t135 @t376)) % 173.03/173.43 (define @t428 () (@var "V" tptp.a)) % 173.03/173.43 (define @t429 () (@var "Q" (-> tptp.a Bool))) % 173.03/173.43 (define @t430 () (_ (_ tptp.ord_less_eq_set_a @t128) (_ tptp.collect_a @t429))) % 173.03/173.43 (define @t431 () (@list @t127 @t429)) % 173.03/173.43 (define @t432 () (@var "Q" (-> tptp.real Bool))) % 173.03/173.43 (define @t433 () (_ (_ tptp.ord_less_eq_set_real @t130) (_ tptp.collect_real @t432))) % 173.03/173.43 (define @t434 () (@list @t129 @t432)) % 173.03/173.43 (define @t435 () (@var "A5" tptp.set_a)) % 173.03/173.43 (define @t436 () (@var "B5" tptp.set_a)) % 173.03/173.43 (define @t437 () (_ (_ tptp.ord_less_eq_set_a @t436) @t435)) % 173.03/173.43 (define @t438 () (_ (_ tptp.ord_less_eq_set_a @t435) @t436)) % 173.03/173.43 (define @t439 () (@list @t435 @t436)) % 173.03/173.43 (define @t440 () (@var "Z3" tptp.set_a)) % 173.03/173.43 (define @t441 () (@var "Y4" tptp.set_a)) % 173.03/173.43 (define @t442 () (@var "A5" tptp.set_real)) % 173.03/173.43 (define @t443 () (@var "B5" tptp.set_real)) % 173.03/173.43 (define @t444 () (_ (_ tptp.ord_less_eq_set_real @t443) @t442)) % 173.03/173.43 (define @t445 () (_ (_ tptp.ord_less_eq_set_real @t442) @t443)) % 173.03/173.43 (define @t446 () (@list @t442 @t443)) % 173.03/173.43 (define @t447 () (@var "Z3" tptp.set_real)) % 173.03/173.43 (define @t448 () (@var "Y4" tptp.set_real)) % 173.03/173.43 (define @t449 () (@var "C3" tptp.set_a)) % 173.03/173.43 (define @t450 () (_ @t380 @t449)) % 173.03/173.43 (define @t451 () (_ @t404 @t449)) % 173.03/173.43 (define @t452 () (@list @t135 @t376 @t449)) % 173.03/173.43 (define @t453 () (@var "C3" tptp.set_real)) % 173.03/173.43 (define @t454 () (_ @t387 @t453)) % 173.03/173.43 (define @t455 () (_ @t408 @t453)) % 173.03/173.43 (define @t456 () (@list @t137 @t383 @t453)) % 173.03/173.43 (define @t457 () (=> @t425 @t423)) % 173.03/173.43 (define @t458 () (@list @t135 @t376 @t154)) % 173.03/173.43 (define @t459 () (=> @t418 @t416)) % 173.03/173.43 (define @t460 () (@list @t137 @t383 @t156)) % 173.03/173.43 (define @t461 () (@var "B6" tptp.real)) % 173.03/173.43 (define @t462 () (@var "A6" tptp.real)) % 173.03/173.43 (define @t463 () (_ tptp.ord_less_eq_set_a @t393)) % 173.03/173.43 (define @t464 () (@list @t391 @t390)) % 173.03/173.43 (define @t465 () (_ tptp.ord_less_eq_set_real @t400)) % 173.03/173.43 (define @t466 () (@list @t398 @t397)) % 173.03/173.43 (define @t467 () (_ tptp.ord_less_eq_set_a @t390)) % 173.03/173.43 (define @t468 () (_ tptp.ord_less_eq_set_real @t397)) % 173.03/173.43 (define @t469 () (_ tptp.minus_minus_set_a @t449)) % 173.03/173.43 (define @t470 () (_ tptp.minus_minus_set_a @t376)) % 173.03/173.43 (define @t471 () (_ tptp.minus_minus_set_real @t453)) % 173.03/173.43 (define @t472 () (_ tptp.minus_minus_set_real @t383)) % 173.03/173.43 (define @t473 () (_ tptp.ord_less_eq_set_a @t414)) % 173.03/173.43 (define @t474 () (_ tptp.ord_less_eq_set_real @t419)) % 173.03/173.43 (define @t475 () (@var "D4" tptp.set_a)) % 173.03/173.43 (define @t476 () (@var "D4" tptp.set_real)) % 173.03/173.43 (define @t477 () (= @t435 @t436)) % 173.03/173.43 (define @t478 () (= @t442 @t443)) % 173.03/173.43 (define @t479 () (_ @t377 @t449)) % 173.03/173.43 (define @t480 () (_ @t384 @t453)) % 173.03/173.43 (define @t481 () (_ (_ tptp.auto_l612940ivl0_a @t335) tptp.x)) % 173.03/173.43 (define @t482 () (_ @t481 @t6)) % 173.03/173.43 (define @t483 () (_ tptp.ord_less_eq_set_real (_ (_ tptp.set_or656347191t_real (_ tptp.uminus_uminus_real @t252)) @t252))) % 173.03/173.43 (define @t484 () (_ @t1 @t252)) % 173.03/173.43 (define @t485 () (@list @t252)) % 173.03/173.43 (define @t486 () (_ (_ tptp.auto_l612940ivl0_a tptp.f) tptp.x)) % 173.03/173.43 (define @t487 () (_ @t486 @t6)) % 173.03/173.43 (define @t488 () (_ tptp.ord_less_eq_set_real (_ (_ tptp.set_or656347191t_real @t252) @t251))) % 173.03/173.43 (define @t489 () (_ @t1 @t251)) % 173.03/173.43 (define @t490 () (_ (_ tptp.ord_less_real @t252) tptp.zero_zero_real)) % 173.03/173.43 (define @t491 () (@var "X0" tptp.a)) % 173.03/173.43 (define @t492 () (_ @t486 @t491)) % 173.03/173.43 (define @t493 () (_ tptp.member_real tptp.zero_zero_real)) % 173.03/173.43 (define @t494 () (_ (_ tptp.member_a @t491) tptp.x)) % 173.03/173.43 (define @t495 () (=> @t494 (_ @t493 @t492))) % 173.03/173.43 (define @t496 () (@list @t491)) % 173.03/173.43 (define @t497 () (@var "T0" tptp.real)) % 173.03/173.43 (define @t498 () (@var "T2" tptp.real)) % 173.03/173.43 (define @t499 () (_ tptp.minus_minus_real @t498)) % 173.03/173.43 (define @t500 () (_ tptp.member_real (_ @t499 @t497))) % 173.03/173.43 (define @t501 () (_ @t500 @t492)) % 173.03/173.43 (define @t502 () (@list @t498 @t497 @t491)) % 173.03/173.43 (define @t503 () (not @t425)) % 173.03/173.43 (define @t504 () (_ @t422 @t407)) % 173.03/173.43 (define @t505 () (@list @t154 @t135)) % 173.03/173.43 (define @t506 () (not @t418)) % 173.03/173.43 (define @t507 () (_ @t415 @t411)) % 173.03/173.43 (define @t508 () (@list @t156 @t137)) % 173.03/173.43 (define @t509 () (_ @t481 @t491)) % 173.03/173.43 (define @t510 () (=> @t494 (_ @t493 @t509))) % 173.03/173.43 (define @t511 () (_ tptp.ord_less_eq_set_real (_ (_ tptp.set_or656347191t_real tptp.zero_zero_real) @t498))) % 173.03/173.43 (define @t512 () (_ tptp.member_real @t498)) % 173.03/173.43 (define @t513 () (_ @t512 @t492)) % 173.03/173.43 (define @t514 () (@list @t498 @t491)) % 173.03/173.43 (define @t515 () (_ tptp.ord_less_eq_set_real (_ (_ tptp.set_or656347191t_real @t498) tptp.zero_zero_real))) % 173.03/173.43 (define @t516 () (_ @t512 @t509)) % 173.03/173.43 (define @t517 () (= @t482 tptp.top_top_set_real)) % 173.03/173.43 (define @t518 () (_ @t512 tptp.top_top_set_real)) % 173.03/173.43 (define @t519 () (_ @t493 tptp.top_top_set_real)) % 173.03/173.43 (define @t520 () (_ (_ tptp.member_real @t497) tptp.top_top_set_real)) % 173.03/173.43 (define @t521 () (@var "S2" tptp.real)) % 173.03/173.43 (define @t522 () (_ (_ tptp.member_real (_ @t499 @t521)) @t487)) % 173.03/173.43 (define @t523 () (_ tptp.f @t230)) % 173.03/173.43 (define @t524 () (= @t487 tptp.top_top_set_real)) % 173.03/173.43 (define @t525 () (_ (_ tptp.inner_1173012732nner_a @t523) @t14)) % 173.03/173.43 (define @t526 () (@var "B7" tptp.real)) % 173.03/173.43 (define @t527 () (_ tptp.ord_less_eq_real @t526)) % 173.03/173.43 (define @t528 () (_ @t527 @t525)) % 173.03/173.43 (define @t529 () (_ @t2 @t255)) % 173.03/173.43 (define @t530 () (_ @t231 @t529)) % 173.03/173.43 (define @t531 () (forall @t412 (=> @t530 @t528))) % 173.03/173.43 (define @t532 () (and (_ @t1 @t526) @t531)) % 173.03/173.43 (define @t533 () (@list @t526)) % 173.03/173.43 (define @t534 () (exists @t533 @t532)) % 173.03/173.43 (define @t535 () (and @t260 @t534)) % 173.03/173.43 (define @t536 () (exists @t261 @t535)) % 173.03/173.43 (define @t537 () (not @t536)) % 173.03/173.43 (define @t538 () (@var "Y3" tptp.real)) % 173.03/173.43 (define @t539 () (_ tptp.ord_less_eq_real @t538)) % 173.03/173.43 (define @t540 () (lambda (@list @t138 @t538) (and (_ (_ tptp.ord_less_eq_real @t138) @t538) (not (_ @t539 @t138))))) % 173.03/173.43 (define @t541 () (@var "A5" (-> tptp.a tptp.a))) % 173.03/173.43 (define @t542 () (lambda (@list @t541 @t103) (_ tptp.uminus_uminus_a (_ @t541 @t103)))) % 173.03/173.43 (define @t543 () (@var "T" tptp.a)) % 173.03/173.43 (define @t544 () (_ tptp.member_a @t543)) % 173.03/173.43 (define @t545 () (lambda @t439 (forall (@list @t543) (=> (_ @t544 @t435) (_ @t544 @t436))))) % 173.03/173.43 (define @t546 () (@var "T" tptp.real)) % 173.03/173.43 (define @t547 () (_ tptp.member_real @t546)) % 173.03/173.43 (define @t548 () (lambda @t446 (forall (@list @t546) (=> (_ @t547 @t442) (_ @t547 @t443))))) % 173.03/173.43 (define @t549 () (lambda @t439 (and @t438 (not @t437)))) % 173.03/173.43 (define @t550 () (lambda @t446 (and @t445 (not @t444)))) % 173.03/173.43 (define @t551 () (@const 0 (@ho-elim-sort (-> tptp.real tptp.real Bool)))) % 173.03/173.43 (define @t552 () (@const 1 (-> (@ho-elim-sort (-> tptp.real tptp.real Bool)) tptp.real (@ho-elim-sort (-> tptp.real Bool))))) % 173.03/173.43 (define @t553 () (@const 2 (-> (@ho-elim-sort (-> tptp.real Bool)) tptp.real Bool))) % 173.03/173.43 (define @t554 () (_ @t553 (_ @t552 @t551 tptp.d) tptp.zero_zero_real)) % 173.03/173.43 (define @t555 () (_ @t552 @t551 tptp.zero_zero_real)) % 173.03/173.43 (define @t556 () (_ @t553 @t555 tptp.d)) % 173.03/173.43 (define @t557 () (and (_ @t55 tptp.d) (not (_ (_ tptp.ord_less_eq_real tptp.d) tptp.zero_zero_real)))) % 173.03/173.43 (define @t558 () (lambda (@list @t538) (and (_ @t55 @t538) (not (_ @t539 tptp.zero_zero_real))))) % 173.03/173.43 (define @t559 () (_ @t540 tptp.zero_zero_real)) % 173.03/173.43 (define @t560 () (@const 5 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a))) % 173.03/173.43 (define @t561 () (_ @t560 (@const 6 (@ho-elim-sort (-> tptp.a tptp.a))) (_ @t560 (_ (@const 4 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a)))) (@const 3 (@ho-elim-sort (-> tptp.a tptp.a tptp.a))) tptp.a2) tptp.b))) % 173.03/173.43 (define @t562 () (@const 7 (@ho-elim-sort (-> tptp.a tptp.a)))) % 173.03/173.43 (define @t563 () (_ @t560 @t562 @t5)) % 173.03/173.43 (define @t564 () (@const 8 (@ho-elim-sort (-> tptp.a tptp.a tptp.real)))) % 173.03/173.43 (define @t565 () (@const 9 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.real)) tptp.a (@ho-elim-sort (-> tptp.a tptp.real))))) % 173.03/173.43 (define @t566 () (@const 10 (-> (@ho-elim-sort (-> tptp.a tptp.real)) tptp.a tptp.real))) % 173.03/173.43 (define @t567 () (_ @t566 (_ @t565 @t564 @t563) @t561)) % 173.03/173.43 (define @t568 () (@const 11 (@ho-elim-sort (-> tptp.a tptp.set_a Bool)))) % 173.03/173.43 (define @t569 () (@const 12 (-> (@ho-elim-sort (-> tptp.a tptp.set_a Bool)) tptp.a (@ho-elim-sort (-> tptp.set_a Bool))))) % 173.03/173.43 (define @t570 () (_ @t569 @t568 @t5)) % 173.03/173.43 (define @t571 () (@const 13 (-> (@ho-elim-sort (-> tptp.set_a Bool)) tptp.set_a Bool))) % 173.03/173.43 (define @t572 () (_ (@const 15 (-> (@ho-elim-sort (-> tptp.a tptp.real tptp.set_a)) tptp.a (@ho-elim-sort (-> tptp.real tptp.set_a)))) (@const 14 (@ho-elim-sort (-> tptp.a tptp.real tptp.set_a))) tptp.x2)) % 173.03/173.43 (define @t573 () (@const 16 (-> (@ho-elim-sort (-> tptp.real tptp.set_a)) tptp.real tptp.set_a))) % 173.03/173.43 (define @t574 () (_ @t573 @t572 tptp.d)) % 173.03/173.43 (define @t575 () (tptp.minus_minus_a tptp.a2 tptp.b)) % 173.03/173.43 (define @t576 () (tptp.poinca659159244_rot_a @t575)) % 173.03/173.43 (define @t577 () (tptp.f @t5)) % 173.03/173.43 (define @t578 () (tptp.inner_1173012732nner_a @t577 @t576)) % 173.03/173.43 (define @t579 () (tptp.ord_less_eq_real @t578 tptp.zero_zero_real)) % 173.03/173.43 (define @t580 () (tptp.ord_less_eq_real tptp.zero_zero_real @t578)) % 173.03/173.43 (define @t581 () (tptp.member_a @t5 tptp.x)) % 173.03/173.43 (define @t582 () (tptp.elemen49976720ball_a tptp.x2 tptp.d)) % 173.03/173.43 (define @t583 () (tptp.member_a @t5 @t582)) % 173.03/173.43 (define @t584 () (_ (_ tptp.ord_less_eq_real @t31) tptp.zero_zero_real)) % 173.03/173.43 (define @t585 () (not @t584)) % 173.03/173.43 (define @t586 () (_ @t55 @t31)) % 173.03/173.43 (define @t587 () (= tptp.zero_zero_a @t27)) % 173.03/173.43 (define @t588 () (not @t587)) % 173.03/173.43 (define @t589 () (and @t30 @t588 @t586 @t585)) % 173.03/173.43 (define @t590 () (not @t33)) % 173.03/173.43 (define @t591 () (or @t590 @t589)) % 173.03/173.43 (define @t592 () (and @t586 @t585)) % 173.03/173.43 (define @t593 () (and (_ @t559 @t31) @t30 @t28)) % 173.03/173.43 (define @t594 () (=> @t33 @t593)) % 173.03/173.43 (define @t595 () (_ @t569 @t568 tptp.s)) % 173.03/173.43 (define @t596 () (_ @t571 @t595 @t574)) % 173.03/173.43 (define @t597 () (_ @t560 @t562 tptp.s)) % 173.03/173.43 (define @t598 () (_ @t566 (_ @t565 @t564 @t597) @t561)) % 173.03/173.43 (define @t599 () (_ @t552 @t551 @t598)) % 173.03/173.43 (define @t600 () (_ @t553 @t599 tptp.zero_zero_real)) % 173.03/173.43 (define @t601 () (not @t600)) % 173.03/173.43 (define @t602 () (_ @t553 @t555 @t598)) % 173.03/173.43 (define @t603 () (and (_ @t571 @t595 tptp.x) (not (= tptp.zero_zero_a @t597)) @t602 @t601)) % 173.03/173.43 (define @t604 () (not @t596)) % 173.03/173.43 (define @t605 () (or @t604 @t603)) % 173.03/173.43 (define @t606 () (not @t603)) % 173.03/173.43 (define @t607 () (@list false)) % 173.03/173.43 (define @t608 () (@list @t603)) % 173.03/173.43 (define @t609 () (forall @t24 (or (not (_ @t571 (_ @t569 @t568 @t15) @t574)) (_ @t553 @t599 (_ @t566 (_ @t565 @t564 (_ @t560 @t562 @t15)) @t561))))) % 173.03/173.43 (define @t610 () (tptp.f @t15)) % 173.03/173.43 (define @t611 () (tptp.inner_1173012732nner_a @t610 @t576)) % 173.03/173.43 (define @t612 () (tptp.f tptp.s)) % 173.03/173.43 (define @t613 () (tptp.inner_1173012732nner_a @t612 @t576)) % 173.03/173.43 (define @t614 () (tptp.ord_less_eq_real @t613 @t611)) % 173.03/173.43 (define @t615 () (tptp.member_a @t15 @t582)) % 173.03/173.43 (define @t616 () (not @t23)) % 173.03/173.43 (define @t617 () (or @t616 @t21)) % 173.03/173.43 (define @t618 () (_ @t566 (_ @t565 @t564 (_ @t560 @t562 @t230)) @t561)) % 173.03/173.43 (define @t619 () (_ @t569 @t568 @t230)) % 173.03/173.43 (define @t620 () (forall @t412 (or (not (_ @t571 @t619 @t574)) (_ @t553 @t599 @t618)))) % 173.03/173.43 (define @t621 () (@var "BOUND_VARIABLE_15873" tptp.real)) % 173.03/173.43 (define @t622 () (_ @t552 @t551 @t621)) % 173.03/173.43 (define @t623 () (@list @t255 @t621)) % 173.03/173.43 (define @t624 () (tptp.ord_less_eq_real @t621 tptp.zero_zero_real)) % 173.03/173.43 (define @t625 () (not (tptp.ord_less_eq_real tptp.zero_zero_real @t621))) % 173.03/173.43 (define @t626 () (tptp.f @t230)) % 173.03/173.43 (define @t627 () (tptp.inner_1173012732nner_a @t626 @t576)) % 173.03/173.43 (define @t628 () (tptp.elemen49976720ball_a tptp.x2 @t255)) % 173.03/173.43 (define @t629 () (tptp.member_a @t230 @t628)) % 173.03/173.43 (define @t630 () (not @t629)) % 173.03/173.43 (define @t631 () (not (forall @t412 (or @t630 (tptp.ord_less_eq_real @t621 @t627))))) % 173.03/173.43 (define @t632 () (tptp.ord_less_eq_real @t255 tptp.zero_zero_real)) % 173.03/173.43 (define @t633 () (tptp.ord_less_eq_real tptp.zero_zero_real @t255)) % 173.03/173.43 (define @t634 () (not @t633)) % 173.03/173.43 (define @t635 () (or @t634 @t632 @t631 @t625 @t624)) % 173.03/173.43 (define @t636 () (forall @t623 @t635)) % 173.03/173.43 (define @t637 () (or @t631 @t625 @t624)) % 173.03/173.43 (define @t638 () (or @t637 @t634 @t632)) % 173.03/173.43 (define @t639 () (forall @t623 @t638)) % 173.03/173.43 (define @t640 () (@list @t621)) % 173.03/173.43 (define @t641 () (forall @t640 @t638)) % 173.03/173.43 (define @t642 () (forall @t640 @t637)) % 173.03/173.43 (define @t643 () (or @t642 @t634 @t632)) % 173.03/173.43 (define @t644 () (tptp.ord_less_eq_real @t526 tptp.zero_zero_real)) % 173.03/173.43 (define @t645 () (tptp.ord_less_eq_real tptp.zero_zero_real @t526)) % 173.03/173.43 (define @t646 () (tptp.ord_less_eq_real @t526 @t627)) % 173.03/173.43 (define @t647 () (forall @t412 (or @t630 @t646))) % 173.03/173.43 (define @t648 () (not @t647)) % 173.03/173.43 (define @t649 () (forall @t533 (or @t648 (not @t645) @t644))) % 173.03/173.43 (define @t650 () (_ (_ tptp.ord_less_eq_real @t255) tptp.zero_zero_real)) % 173.03/173.43 (define @t651 () (_ @t55 @t255)) % 173.03/173.43 (define @t652 () (not @t651)) % 173.03/173.43 (define @t653 () (or @t649 @t652 @t650)) % 173.03/173.43 (define @t654 () (not @t650)) % 173.03/173.43 (define @t655 () (not @t654)) % 173.03/173.43 (define @t656 () (not @t649)) % 173.03/173.43 (define @t657 () (not @t656)) % 173.03/173.43 (define @t658 () (or @t657 @t652 @t655)) % 173.03/173.43 (define @t659 () (and @t651 @t654)) % 173.03/173.43 (define @t660 () (and @t656 @t651 @t654)) % 173.03/173.43 (define @t661 () (forall @t261 (not @t660))) % 173.03/173.43 (define @t662 () (not @t661)) % 173.03/173.43 (define @t663 () (_ @t527 tptp.zero_zero_real)) % 173.03/173.43 (define @t664 () (_ @t55 @t526)) % 173.03/173.43 (define @t665 () (not @t664)) % 173.03/173.43 (define @t666 () (or @t648 @t665 @t663)) % 173.03/173.43 (define @t667 () (not @t663)) % 173.03/173.43 (define @t668 () (not @t667)) % 173.03/173.43 (define @t669 () (or @t648 @t665 @t668)) % 173.03/173.43 (define @t670 () (and @t664 @t667)) % 173.03/173.43 (define @t671 () (and @t647 @t664 @t667)) % 173.03/173.43 (define @t672 () (forall @t533 (not @t671))) % 173.03/173.43 (define @t673 () (not @t672)) % 173.03/173.43 (define @t674 () (not @t530)) % 173.03/173.43 (define @t675 () (or @t674 @t528)) % 173.03/173.43 (define @t676 () (and (_ @t559 @t526) @t531)) % 173.03/173.43 (define @t677 () (exists @t533 @t676)) % 173.03/173.43 (define @t678 () (and (_ @t559 @t255) @t677)) % 173.03/173.43 (define @t679 () (exists @t261 @t678)) % 173.03/173.43 (define @t680 () (not @t602)) % 173.03/173.43 (define @t681 () (not @t620)) % 173.03/173.43 (define @t682 () (not @t556)) % 173.03/173.43 (define @t683 () (or @t682 @t554 @t681 @t680 @t600)) % 173.03/173.43 (assume @p1 (_ @t1 tptp.d)) % 173.03/173.43 (assume @p2 @t4) % 173.03/173.43 (assume @p3 (not (= tptp.a2 tptp.b))) % 173.03/173.43 (assume @p4 (forall @t11 (= (_ @t10 @t9) tptp.zero_zero_real))) % 173.03/173.43 (assume @p5 (_ @t12 tptp.x)) % 173.03/173.43 (assume @p6 @t25) % 173.03/173.43 (assume @p7 (not (= @t26 tptp.zero_zero_a))) % 173.03/173.43 (assume @p8 (_ @t1 (_ (_ tptp.inner_1173012732nner_a (_ tptp.f tptp.z)) @t14))) % 173.03/173.43 (assume @p9 @t36) % 173.03/173.43 (assume @p10 (_ @t1 (_ (_ tptp.inner_1173012732nner_a @t26) @t14))) % 173.03/173.43 (assume @p11 (forall @t39 (= (_ @t38 @t37) tptp.zero_zero_real))) % 173.03/173.43 (assume @p12 (not (forall (@list @t40) (=> (_ (_ tptp.member_a @t40) @t3) (not (forall @t24 (=> @t23 (_ (_ tptp.ord_less_eq_real (_ (_ tptp.inner_1173012732nner_a (_ tptp.f @t40)) @t14)) @t18)))))))) % 173.03/173.43 (assume @p13 (_ @t12 @t41)) % 173.03/173.43 (assume @p14 (not (forall (@list @t45) (=> (_ @t1 @t45) (not (forall (@list @t42) (=> (_ @t44 (_ @t2 @t45)) (and (_ @t1 (_ (_ tptp.inner_1173012732nner_a @t43) @t14)) (_ @t44 tptp.x) (not (= @t43 tptp.zero_zero_a)))))))))) % 173.03/173.43 (assume @p15 (_ (_ @t46 tptp.a2) tptp.b)) % 173.03/173.43 (assume @p16 (forall @t51 (= (_ @t1 @t50) (not @t48)))) % 173.03/173.43 (assume @p17 (forall @t39 (= (_ @t1 @t53) (not @t52)))) % 173.03/173.43 (assume @p18 (forall (@list @t47 @t54) (= (_ @t59 @t58) @t56))) % 173.03/173.43 (assume @p19 (forall (@list @t6 @t54) (= (_ @t62 @t61) @t56))) % 173.03/173.43 (assume @p20 (forall @t51 (= (forall (@list @t63) (= (_ @t49 @t63) tptp.zero_zero_real)) @t48))) % 173.03/173.43 (assume @p21 (forall @t39 (= (forall (@list @t64) (= (_ @t38 @t64) tptp.zero_zero_real)) @t52))) % 173.03/173.43 (assume @p22 (forall @t51 (= (_ (_ tptp.inner_4346926r_real tptp.zero_zero_real) @t47) tptp.zero_zero_real))) % 173.03/173.43 (assume @p23 (forall @t39 (= (_ (_ tptp.inner_1173012732nner_a tptp.zero_zero_a) @t6) tptp.zero_zero_real))) % 173.03/173.43 (assume @p24 (forall @t51 (= (_ @t49 tptp.zero_zero_real) tptp.zero_zero_real))) % 173.03/173.43 (assume @p25 (forall @t39 (= (_ @t38 tptp.zero_zero_a) tptp.zero_zero_real))) % 173.03/173.43 (assume @p26 (forall @t51 (= (= @t50 tptp.zero_zero_real) @t48))) % 173.03/173.43 (assume @p27 (forall @t39 (= (= @t53 tptp.zero_zero_real) @t52))) % 173.03/173.43 (assume @p28 (forall @t72 (= (_ @t71 @t70) @t68))) % 173.03/173.43 (assume @p29 (forall @t79 (= (_ @t1 @t78) @t76))) % 173.03/173.43 (assume @p30 (forall @t72 (= (_ @t82 @t70) @t81))) % 173.03/173.43 (assume @p31 (forall @t79 (= (_ @t55 @t78) @t84))) % 173.03/173.43 (assume @p32 (= (_ tptp.poinca659159244_rot_a tptp.zero_zero_a) tptp.zero_zero_a)) % 173.03/173.43 (assume @p33 (forall @t39 (= (= @t37 tptp.zero_zero_a) @t52))) % 173.03/173.43 (assume @p34 (forall (@list @t85) (=> (_ @t87 @t41) (_ @t1 (_ @t86 @t14))))) % 173.03/173.43 (assume @p35 (_ (_ tptp.member_a tptp.z) @t41)) % 173.03/173.43 (assume @p36 (forall @t11 (=> @t89 @t88))) % 173.03/173.43 (assume @p37 (forall @t11 (= @t89 @t88))) % 173.03/173.43 (assume @p38 (forall (@list @t6 @t65 @t66 @t5) (=> @t92 (=> (_ @t29 @t91) (= (_ @t10 @t90) tptp.zero_zero_real))))) % 173.03/173.43 (assume @p39 (forall (@list @t6 @t65 @t66) (=> @t92 @t96))) % 173.03/173.43 (assume @p40 (_ (_ tptp.ord_less_eq_set_a @t41) tptp.x)) % 173.03/173.43 (assume @p41 (forall @t97 (= (_ @t69 @t65) tptp.zero_zero_a))) % 173.03/173.43 (assume @p42 (forall @t98 (= (_ @t77 @t73) tptp.zero_zero_real))) % 173.03/173.43 (assume @p43 (forall @t97 (= (_ @t69 tptp.zero_zero_a) @t65))) % 173.03/173.43 (assume @p44 (forall @t98 (= (_ @t77 tptp.zero_zero_real) @t73))) % 173.03/173.43 (assume @p45 (forall (@list @t99 @t54 @t47) (=> @t101 (_ (_ tptp.ord_less_eq_set_real (_ @t57 @t99)) @t58)))) % 173.03/173.43 (assume @p46 (forall (@list @t99 @t54 @t6) (=> @t101 (_ (_ tptp.ord_less_eq_set_a @t102) @t61)))) % 173.03/173.43 (assume @p47 (forall @t72 (= (_ (_ @t46 @t65) @t66) (and @t107 (_ (_ tptp.ord_less_eq_set_a @t91) tptp.x) (forall @t105 (=> (_ @t104 @t91) (not (= (_ (_ tptp.inner_1173012732nner_a (_ tptp.f @t103)) @t90) tptp.zero_zero_real)))))))) % 173.03/173.43 (assume @p48 (forall @t11 (=> @t89 (=> (=> @t117 (=> @t115 (not (forall @t114 (=> @t113 (_ @t1 (_ @t111 @t9))))))) (not (=> @t117 (=> @t115 (not (forall @t114 (=> @t113 (_ @t1 (_ @t111 @t109)))))))))))) % 173.03/173.43 (assume @p49 (forall @t121 (=> @t89 (=> @t120 (=> @t119 @t115))))) % 173.03/173.43 (assume @p50 (forall @t121 (=> @t89 (=> @t120 (=> @t122 @t115))))) % 173.03/173.43 (assume @p51 (forall (@list @t123 @t124) (= (_ (_ tptp.member_set_real @t123) (_ tptp.collect_set_real @t124)) (_ @t124 @t123)))) % 173.03/173.43 (assume @p52 (forall (@list @t125 @t126) (= (_ (_ tptp.member_set_a @t125) (_ tptp.collect_set_a @t126)) (_ @t126 @t125)))) % 173.03/173.43 (assume @p53 (forall (@list @t65 @t127) (= (_ (_ tptp.member_a @t65) @t128) (_ @t127 @t65)))) % 173.03/173.43 (assume @p54 (forall (@list @t73 @t129) (= (_ (_ tptp.member_real @t73) @t130) (_ @t129 @t73)))) % 173.03/173.43 (assume @p55 (forall (@list @t131) (= (_ tptp.collect_set_real (lambda (@list @t132) (_ (_ tptp.member_set_real @t132) @t131))) @t131))) % 173.03/173.43 (assume @p56 (forall (@list @t133) (= (_ tptp.collect_set_a (lambda (@list @t134) (_ (_ tptp.member_set_a @t134) @t133))) @t133))) % 173.03/173.43 (assume @p57 (forall @t136 (= (_ tptp.collect_a (lambda @t105 (_ @t104 @t135))) @t135))) % 173.03/173.43 (assume @p58 (forall @t141 (= (_ tptp.collect_real (lambda @t140 (_ @t139 @t137))) @t137))) % 173.03/173.43 (assume @p59 (forall (@list @t142 @t5) (=> (_ (_ @t46 @t142) @t5) (=> (_ (_ tptp.ord_less_real (_ @t144 @t143)) tptp.zero_zero_real) (forall @t24 (=> (_ @t22 (_ (_ tptp.line_c1152468841ment_a @t142) @t5)) (_ (_ tptp.ord_less_real (_ @t17 @t143)) tptp.zero_zero_real))))))) % 173.03/173.43 (assume @p60 (forall @t149 (=> @t89 (=> @t148 (=> (_ @t1 @t147) (forall @t24 (=> @t146 (_ @t1 @t145)))))))) % 173.03/173.43 (assume @p61 (forall @t149 (=> @t89 (=> @t148 (=> (_ (_ tptp.ord_less_real @t147) tptp.zero_zero_real) (forall @t24 (=> @t146 (_ (_ tptp.ord_less_real @t145) tptp.zero_zero_real)))))))) % 173.03/173.43 (assume @p62 (forall @t121 (=> @t89 (=> @t120 (=> @t119 @t117))))) % 173.03/173.43 (assume @p63 (forall @t153 (=> @t89 (=> @t152 (=> (_ @t1 @t151) (=> @t120 @t119)))))) % 173.03/173.43 (assume @p64 (forall @t121 (=> @t89 (=> @t120 (=> @t122 @t117))))) % 173.03/173.43 (assume @p65 (forall @t153 (=> @t89 (=> @t152 (=> (_ (_ tptp.ord_less_real @t151) tptp.zero_zero_real) (=> @t120 @t122)))))) % 173.03/173.43 (assume @p66 (= tptp.poinca522724647ment_a tptp.poinca522724647ment_a)) % 173.03/173.43 (assume @p67 (forall @t51 (= (= tptp.zero_zero_real @t47) @t48))) % 173.03/173.43 (assume @p68 (forall @t39 (= (= tptp.zero_zero_a @t6) @t52))) % 173.03/173.43 (assume @p69 (forall (@list @t65 @t154 @t66) (= (_ (_ tptp.minus_minus_a @t155) @t66) (_ (_ tptp.minus_minus_a @t70) @t154)))) % 173.03/173.43 (assume @p70 (forall (@list @t73 @t156 @t74) (= (_ (_ tptp.minus_minus_real @t157) @t74) (_ (_ tptp.minus_minus_real @t78) @t156)))) % 173.03/173.43 (assume @p71 (forall @t161 (=> @t160 (= @t106 (= @t154 @t158))))) % 173.03/173.43 (assume @p72 (forall @t165 (=> @t164 (= @t162 (= @t156 @t99))))) % 173.03/173.43 (assume @p73 (= tptp.inner_1173012732nner_a (lambda @t167 (_ (_ tptp.inner_1173012732nner_a @t166) @t103)))) % 173.03/173.43 (assume @p74 (= (lambda (@list @t173 @t172) (= @t173 @t172)) (lambda @t171 (= @t170 tptp.zero_zero_a)))) % 173.03/173.43 (assume @p75 (= (lambda (@list @t179 @t178) (= @t179 @t178)) (lambda @t177 (= @t176 tptp.zero_zero_real)))) % 173.03/173.43 (assume @p76 (forall @t161 (=> @t160 (= @t182 (_ @t180 @t158))))) % 173.03/173.43 (assume @p77 (forall @t165 (=> @t164 (= @t186 @t184)))) % 173.03/173.43 (assume @p78 (forall @t189 (=> @t182 (_ @t188 @t187)))) % 173.03/173.43 (assume @p79 (forall @t193 (=> @t186 (_ @t192 @t191)))) % 173.03/173.43 (assume @p80 (forall @t196 (=> @t81 (_ (_ tptp.ord_less_eq_a @t195) @t194)))) % 173.03/173.43 (assume @p81 (forall @t199 (=> @t84 (_ (_ tptp.ord_less_eq_real @t198) @t197)))) % 173.03/173.43 (assume @p82 (forall @t201 (=> @t182 (=> (_ (_ tptp.ord_less_eq_a @t158) @t154) (_ @t188 @t200))))) % 173.03/173.43 (assume @p83 (forall @t203 (=> @t186 (=> (_ @t100 @t156) (_ @t192 @t202))))) % 173.03/173.43 (assume @p84 (forall @t189 (=> @t206 (_ @t204 @t187)))) % 173.03/173.43 (assume @p85 (forall @t193 (=> @t209 (_ @t207 @t191)))) % 173.03/173.43 (assume @p86 (forall @t196 (=> @t68 (_ (_ tptp.ord_less_a @t195) @t194)))) % 173.03/173.43 (assume @p87 (forall @t199 (=> @t76 (_ (_ tptp.ord_less_real @t198) @t197)))) % 173.03/173.43 (assume @p88 (forall @t161 (=> @t160 (= @t206 (_ (_ tptp.ord_less_a @t154) @t158))))) % 173.03/173.43 (assume @p89 (forall @t165 (=> @t164 (= @t209 (_ @t210 @t99))))) % 173.03/173.43 (assume @p90 (forall @t201 (=> @t206 (=> (_ (_ tptp.ord_less_a @t158) @t154) (_ @t204 @t200))))) % 173.03/173.43 (assume @p91 (forall @t203 (=> @t209 (=> (_ @t211 @t156) (_ @t207 @t202))))) % 173.03/173.43 (assume @p92 (forall @t216 (= (_ @t49 (_ (_ tptp.minus_minus_real @t214) @t212)) (_ (_ tptp.minus_minus_real @t215) @t213)))) % 173.03/173.43 (assume @p93 (forall @t121 (= (_ @t38 (_ @t108 @t85)) (_ (_ tptp.minus_minus_real @t218) @t217)))) % 173.03/173.43 (assume @p94 (forall @t216 (= (_ (_ tptp.inner_4346926r_real (_ (_ tptp.minus_minus_real @t47) @t214)) @t212) (_ (_ tptp.minus_minus_real @t213) (_ (_ tptp.inner_4346926r_real @t214) @t212))))) % 173.03/173.43 (assume @p95 (forall @t121 (= (_ @t10 @t85) (_ (_ tptp.minus_minus_real @t217) (_ (_ tptp.inner_1173012732nner_a @t5) @t85))))) % 173.03/173.43 (assume @p96 (forall (@list @t47 @t214 @t54 @t219) (=> (_ @t59 (_ @t220 @t54)) (=> @t221 (_ @t59 (_ @t220 @t219)))))) % 173.03/173.43 (assume @p97 (forall (@list @t6 @t5 @t54 @t219) (=> (_ @t62 @t223) (=> @t221 (_ @t62 (_ @t222 @t219)))))) % 173.03/173.43 (assume @p98 (= tptp.ord_less_eq_a (lambda @t171 (_ (_ tptp.ord_less_eq_a @t170) tptp.zero_zero_a)))) % 173.03/173.43 (assume @p99 (= tptp.ord_less_eq_real (lambda @t177 (_ (_ tptp.ord_less_eq_real @t176) tptp.zero_zero_real)))) % 173.03/173.43 (assume @p100 (= tptp.ord_less_a (lambda @t171 (_ (_ tptp.ord_less_a @t170) tptp.zero_zero_a)))) % 173.03/173.43 (assume @p101 (= tptp.ord_less_real (lambda @t177 (_ (_ tptp.ord_less_real @t176) tptp.zero_zero_real)))) % 173.03/173.43 (assume @p102 (forall @t39 (_ @t55 @t53))) % 173.03/173.43 (assume @p103 (forall @t39 (=> @t227 (=> @t226 @t225)))) % 173.03/173.43 (assume @p104 (forall (@list @t99 @t229) (=> (_ @t1 @t99) (=> (_ @t1 @t229) (=> (forall (@list @t230 @t228) (=> (_ @t231 @t41) (=> (_ (_ tptp.ord_less_eq_real (_ (_ tptp.real_V1514887919dist_a @t230) @t228)) @t99) (_ (_ tptp.ord_less_eq_real @t229) (_ (_ tptp.inner_1173012732nner_a (_ tptp.f @t228)) @t14))))) tptp.thesis))))) % 173.03/173.43 (assume @p105 (forall @t79 (=> @t233 (=> (_ @t55 @t74) (_ @t55 (_ @t232 @t74)))))) % 173.03/173.43 (assume @p106 (forall @t72 (=> @t235 (=> (_ @t82 @t66) (_ @t55 (_ @t234 @t66)))))) % 173.03/173.43 (assume @p107 (forall (@list @t65 @t66 @t6) (=> @t107 (= @t92 (and @t96 (_ (_ tptp.member_real (_ @t38 @t94)) (_ (_ tptp.set_or656347191t_real (_ @t234 @t94)) (_ @t236 @t94)))))))) % 173.03/173.43 (assume @p108 (forall @t241 (=> (_ (_ (_ (_ (_ tptp.reacha1191408304tion_a tptp.f) tptp.x) @t240) @t239) @t237) @t238))) % 173.03/173.43 (assume @p109 (forall @t39 (=> @t227 (=> @t244 (not (forall (@list @t243 @t242) (=> (_ @t62 (_ (_ tptp.line_open_segment_a @t243) @t242)) (not (_ (_ @t46 @t243) @t242))))))))) % 173.03/173.43 (assume @p110 (forall @t249 (= @t248 (_ @t247 @t246)))) % 173.03/173.43 (assume @p111 (forall (@list @t6 @t99 @t5 @t54) (= (= @t102 @t223) (or (and (_ @t211 tptp.zero_zero_real) (_ (_ tptp.ord_less_real @t54) tptp.zero_zero_real)) (and @t116 (= @t99 @t54)))))) % 173.03/173.43 (assume @p112 (forall (@list @t73 @t74 @t250) (=> @t186 (=> (forall (@list @t252 @t251 @t263) (=> @t254 (=> (_ (_ @t250 @t251) @t263) (=> (_ @t258 @t251) (=> (_ (_ tptp.ord_less_eq_real @t251) @t263) (_ @t253 @t263)))))) (=> (forall @t262 (=> (_ @t185 @t256) (=> (_ @t257 @t74) (exists @t261 (and @t260 (forall @t259 (=> (and (_ @t258 @t256) (_ @t257 @t251) (_ (_ tptp.ord_less_real (_ (_ tptp.minus_minus_real @t251) @t252)) @t255)) @t254))))))) (_ (_ @t250 @t73) @t74)))))) % 173.03/173.43 (assume @p113 (forall (@list @t214 @t47 @t54) (= (_ (_ tptp.member_real @t214) @t58) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.real_V1934908667t_real @t47) @t214)) @t54)))) % 173.03/173.43 (assume @p114 (forall @t267 (= (_ @t29 @t61) (_ @t266 @t54)))) % 173.03/173.43 (assume @p115 (forall (@list @t268 @t6) (=> (_ @t1 @t268) (exists (@list @t243) (and (not (= @t243 @t6)) (_ (_ tptp.ord_less_real (_ (_ tptp.real_V1514887919dist_a @t243) @t6)) @t268)))))) % 173.03/173.43 (assume @p116 (forall @t274 (=> @t273 (=> @t271 (_ (_ tptp.ord_less_eq_real @t270) (_ @t236 @t269)))))) % 173.03/173.43 (assume @p117 (forall @t280 (=> @t279 (=> @t277 (_ (_ tptp.ord_less_eq_real @t276) (_ (_ tptp.inner_4346926r_real @t74) @t275)))))) % 173.03/173.43 (assume @p118 (forall @t274 (=> @t273 (=> @t271 (_ (_ tptp.ord_less_eq_real (_ @t234 @t269)) @t270))))) % 173.03/173.43 (assume @p119 (forall @t280 (=> @t279 (=> @t277 (_ (_ tptp.ord_less_eq_real (_ @t232 @t275)) @t276))))) % 173.03/173.43 (assume @p120 (forall @t249 (= @t248 (forall @t105 (=> @t281 (_ (_ (_ (_ tptp.oDE_au1996717075pped_a tptp.f) tptp.x) @t103) @t245)))))) % 173.03/173.43 (assume @p121 (forall @t39 (=> @t283 @t282))) % 173.03/173.43 (assume @p122 (forall @t11 (= @t284 @t117))) % 173.03/173.43 (assume @p123 (forall @t11 (= (_ @t266 tptp.zero_zero_real) @t116))) % 173.03/173.43 (assume @p124 (forall @t294 (= (_ (_ tptp.ord_le318720350_set_a @t293) @t292) (or @t291 (and @t290 @t287))))) % 173.03/173.43 (assume @p125 (forall @t304 (= (_ (_ tptp.ord_le1733505144t_real @t303) @t302) (or @t301 (and @t300 @t297))))) % 173.03/173.43 (assume @p126 (forall @t161 (= (_ (_ tptp.ord_less_eq_set_a @t272) (_ (_ tptp.set_or411607219Most_a @t154) @t158)) (or (not @t182) (and (_ @t180 @t65) (_ @t80 @t158)))))) % 173.03/173.43 (assume @p127 (forall @t165 (= (_ (_ tptp.ord_less_eq_set_real @t278) @t308) (or @t307 (and @t306 @t305))))) % 173.03/173.43 (assume @p128 (forall @t39 (= (_ @t264 @t6) tptp.zero_zero_real))) % 173.03/173.43 (assume @p129 (forall (@list @t269 @t310 @t309) (= (_ (_ tptp.member_a @t269) (_ (_ tptp.set_or411607219Most_a @t310) @t309)) (and (_ (_ tptp.ord_less_eq_a @t310) @t269) (_ (_ tptp.ord_less_eq_a @t269) @t309))))) % 173.03/173.43 (assume @p130 (forall (@list @t312 @t313 @t311) (= (_ (_ tptp.member_set_a @t312) (_ @t315 @t311)) (and (_ @t314 @t312) (_ (_ tptp.ord_less_eq_set_a @t312) @t311))))) % 173.03/173.43 (assume @p131 (forall (@list @t317 @t318 @t316) (= (_ (_ tptp.member_set_real @t317) (_ @t320 @t316)) (and (_ @t319 @t317) (_ (_ tptp.ord_less_eq_set_real @t317) @t316))))) % 173.03/173.43 (assume @p132 (forall (@list @t275 @t322 @t321) (= (_ (_ tptp.member_real @t275) (_ @t324 @t321)) (and (_ @t323 @t275) (_ (_ tptp.ord_less_eq_real @t275) @t321))))) % 173.03/173.43 (assume @p133 (forall (@list @t313 @t327 @t326 @t325) (= (= (_ @t315 @t327) (_ (_ tptp.set_or2094724627_set_a @t326) @t325)) (or (and (= @t313 @t326) (= @t327 @t325)) (and (not (_ @t314 @t327)) (not (_ (_ tptp.ord_less_eq_set_a @t326) @t325))))))) % 173.03/173.43 (assume @p134 (forall (@list @t318 @t330 @t329 @t328) (= (= (_ @t320 @t330) (_ (_ tptp.set_or1619725421t_real @t329) @t328)) (or (and (= @t318 @t329) (= @t330 @t328)) (and (not (_ @t319 @t330)) (not (_ (_ tptp.ord_less_eq_set_real @t329) @t328))))))) % 173.03/173.43 (assume @p135 (forall (@list @t322 @t333 @t332 @t331) (= (= (_ @t324 @t333) (_ (_ tptp.set_or656347191t_real @t332) @t331)) (or (and (= @t322 @t332) (= @t333 @t331)) (and (not (_ @t323 @t333)) (not (_ (_ tptp.ord_less_eq_real @t332) @t331))))))) % 173.03/173.43 (assume @p136 (forall @t11 (= (= @t265 tptp.zero_zero_real) @t116))) % 173.03/173.43 (assume @p137 (= tptp.real_V1514887919dist_a (lambda @t167 (_ (_ tptp.real_V1514887919dist_a @t166) @t103)))) % 173.03/173.43 (assume @p138 (forall @t267 (=> (_ (_ tptp.ord_less_real (_ (_ tptp.real_V1514887919dist_a @t5) @t6)) @t54) (_ @t334 @t54)))) % 173.03/173.43 (assume @p139 (forall @t294 (= (_ (_ tptp.ord_less_set_set_a @t293) @t292) (and (or @t291 (and @t290 @t287 (or (_ (_ tptp.ord_less_set_a @t288) @t125) (_ (_ tptp.ord_less_set_a @t286) @t285)))) (_ @t289 @t285))))) % 173.03/173.43 (assume @p140 (forall @t304 (= (_ (_ tptp.ord_le861030508t_real @t303) @t302) (and (or @t301 (and @t300 @t297 (or (_ (_ tptp.ord_less_set_real @t298) @t123) (_ (_ tptp.ord_less_set_real @t296) @t295)))) (_ @t299 @t295))))) % 173.03/173.43 (assume @p141 (forall @t165 (= (_ (_ tptp.ord_less_set_real @t278) @t308) (and (or @t307 (and @t306 @t305 (or (_ @t210 @t73) (_ @t75 @t99)))) @t184)))) % 173.03/173.43 (assume @p142 (forall @t11 (_ @t55 @t265))) % 173.03/173.43 (assume @p143 (forall @t11 (not (_ @t334 tptp.zero_zero_real)))) % 173.03/173.43 (assume @p144 (forall @t11 (=> @t117 @t284))) % 173.03/173.43 (assume @p145 (forall @t39 (=> @t338 @t337))) % 173.03/173.43 (assume @p146 (forall @t39 (= @t283 (and @t339 @t282)))) % 173.03/173.43 (assume @p147 (forall @t39 (=> @t227 (=> @t341 @t340)))) % 173.03/173.43 (assume @p148 (forall @t39 (=> @t339 (=> @t225 @t226)))) % 173.03/173.43 (assume @p149 (forall @t39 (=> @t339 (_ @t55 @t224)))) % 173.03/173.43 (assume @p150 (forall @t39 (=> @t339 @t227))) % 173.03/173.43 (assume @p151 (forall @t97 (= (_ tptp.uminus_uminus_a @t342) @t65))) % 173.03/173.43 (assume @p152 (forall @t98 (= (_ tptp.uminus_uminus_real @t343) @t73))) % 173.03/173.43 (assume @p153 (forall @t72 (= @t345 @t106))) % 173.03/173.43 (assume @p154 (forall @t79 (= @t347 @t162))) % 173.03/173.43 (assume @p155 (forall @t39 (= @t348 @t339))) % 173.03/173.43 (assume @p156 (forall @t39 (=> @t348 @t227))) % 173.03/173.43 (assume @p157 (forall @t249 (= @t350 @t248))) % 173.03/173.43 (assume @p158 (forall @t39 (=> @t227 (=> @t226 @t339)))) % 173.03/173.43 (assume @p159 (forall @t39 (=> @t227 (=> @t341 @t348)))) % 173.03/173.43 (assume @p160 (forall @t241 (=> (_ (_ (_ (_ (_ tptp.reacha1191408304tion_a @t335) tptp.x) @t240) @t239) @t237) @t238))) % 173.03/173.43 (assume @p161 (forall @t249 (= @t350 (_ @t349 @t246)))) % 173.03/173.43 (assume @p162 (forall @t39 (=> @t339 (=> @t244 @t283)))) % 173.03/173.43 (assume @p163 (forall @t249 (= @t350 (forall @t105 (=> @t281 (_ (_ (_ (_ tptp.oDE_au1996717075pped_a @t335) tptp.x) @t103) @t245)))))) % 173.03/173.43 (assume @p164 (forall @t39 (=> @t348 (=> (not @t341) @t338)))) % 173.03/173.43 (assume @p165 (= (_ tptp.uminus_uminus_a tptp.zero_zero_a) tptp.zero_zero_a)) % 173.03/173.43 (assume @p166 (= (_ tptp.uminus_uminus_real tptp.zero_zero_real) tptp.zero_zero_real)) % 173.03/173.43 (assume @p167 (forall @t97 (= (= tptp.zero_zero_a @t342) (= tptp.zero_zero_a @t65)))) % 173.03/173.43 (assume @p168 (forall @t98 (= (= tptp.zero_zero_real @t343) (= tptp.zero_zero_real @t73)))) % 173.03/173.43 (assume @p169 (forall @t97 (= (= @t342 tptp.zero_zero_a) (= @t65 tptp.zero_zero_a)))) % 173.03/173.43 (assume @p170 (forall @t98 (= (= @t343 tptp.zero_zero_real) @t351))) % 173.03/173.43 (assume @p171 (forall @t98 (= (= @t73 @t343) @t351))) % 173.03/173.43 (assume @p172 (forall @t98 (= (= @t343 @t73) @t351))) % 173.03/173.43 (assume @p173 (forall @t354 (= @t353 @t182))) % 173.03/173.43 (assume @p174 (forall @t357 (= @t356 @t186))) % 173.03/173.43 (assume @p175 (forall @t354 (= @t359 @t206))) % 173.03/173.43 (assume @p176 (forall @t357 (= @t361 @t209))) % 173.03/173.43 (assume @p177 (forall @t72 (= (_ tptp.uminus_uminus_a @t70) @t94))) % 173.03/173.43 (assume @p178 (forall @t79 (= (_ tptp.uminus_uminus_real @t78) (_ @t190 @t73)))) % 173.03/173.43 (assume @p179 (forall @t363 (= (_ (_ tptp.inner_4346926r_real (_ tptp.uminus_uminus_real @t47)) @t214) @t362))) % 173.03/173.43 (assume @p180 (forall @t11 (= (_ (_ tptp.inner_1173012732nner_a (_ tptp.uminus_uminus_a @t6)) @t5) @t364))) % 173.03/173.43 (assume @p181 (forall @t363 (= (_ @t49 (_ tptp.uminus_uminus_real @t214)) @t362))) % 173.03/173.43 (assume @p182 (forall @t11 (= (_ @t38 (_ tptp.uminus_uminus_a @t5)) @t364))) % 173.03/173.43 (assume @p183 (forall @t39 (=> @t348 (_ @t55 @t336)))) % 173.03/173.43 (assume @p184 (forall @t39 (=> @t348 (=> @t340 @t341)))) % 173.03/173.43 (assume @p185 (forall @t39 (= @t338 (and @t348 @t337)))) % 173.03/173.43 (assume @p186 (forall @t97 (= (_ @t82 @t342) (_ @t181 tptp.zero_zero_a)))) % 173.03/173.43 (assume @p187 (forall @t98 (= (_ @t55 @t343) @t365))) % 173.03/173.43 (assume @p188 (forall @t97 (= (_ @t366 tptp.zero_zero_a) @t235))) % 173.03/173.43 (assume @p189 (forall @t98 (= (_ @t367 tptp.zero_zero_real) @t233))) % 173.03/173.43 (assume @p190 (forall @t98 (= (_ @t185 @t343) @t365))) % 173.03/173.43 (assume @p191 (forall @t98 (= (_ @t367 @t73) @t233))) % 173.03/173.43 (assume @p192 (forall @t98 (= (_ @t208 @t343) @t368))) % 173.03/173.43 (assume @p193 (forall @t98 (= (_ @t370 @t73) @t369))) % 173.03/173.43 (assume @p194 (forall @t97 (= (_ @t71 @t342) (_ @t205 tptp.zero_zero_a)))) % 173.03/173.43 (assume @p195 (forall @t98 (= (_ @t1 @t343) @t368))) % 173.03/173.43 (assume @p196 (forall @t97 (= (_ @t371 tptp.zero_zero_a) (_ @t71 @t65)))) % 173.03/173.43 (assume @p197 (forall @t98 (= (_ @t370 tptp.zero_zero_real) @t369))) % 173.03/173.43 (assume @p198 (forall @t97 (= (_ @t372 @t65) @t342))) % 173.03/173.43 (assume @p199 (forall @t98 (= (_ @t373 @t73) @t343))) % 173.03/173.43 (assume @p200 (forall @t72 (=> @t182 @t353))) % 173.03/173.43 (assume @p201 (forall @t79 (=> @t186 @t356))) % 173.03/173.43 (assume @p202 (forall @t72 (= (_ @t366 @t66) (_ @t352 @t65)))) % 173.03/173.43 (assume @p203 (forall @t79 (= (_ @t367 @t74) (_ @t355 @t73)))) % 173.03/173.43 (assume @p204 (forall @t72 (= (_ @t181 @t344) (_ @t80 @t342)))) % 173.03/173.43 (assume @p205 (forall @t79 (= (_ @t185 @t346) (_ @t83 @t343)))) % 173.03/173.43 (assume @p206 (forall @t72 (= (_ @t371 @t66) (_ @t358 @t65)))) % 173.03/173.43 (assume @p207 (forall @t79 (= (_ @t370 @t74) (_ @t360 @t73)))) % 173.03/173.43 (assume @p208 (forall @t72 (= (_ @t205 @t344) (_ @t67 @t342)))) % 173.03/173.43 (assume @p209 (forall @t79 (= (_ @t208 @t346) (_ @t75 @t343)))) % 173.03/173.43 (assume @p210 (forall @t354 (= (_ (_ tptp.minus_minus_a @t344) @t65) (_ (_ tptp.minus_minus_a @t342) @t66)))) % 173.03/173.43 (assume @p211 (forall @t357 (= (_ (_ tptp.minus_minus_real @t346) @t73) (_ (_ tptp.minus_minus_real @t343) @t74)))) % 173.03/173.43 (assume @p212 (forall @t72 (= (= @t65 @t344) (= @t66 @t342)))) % 173.03/173.43 (assume @p213 (forall @t79 (= (= @t73 @t346) (= @t74 @t343)))) % 173.03/173.43 (assume @p214 (forall @t72 (= (= @t342 @t66) (= @t344 @t65)))) % 173.03/173.43 (assume @p215 (forall @t79 (= (= @t343 @t74) (= @t346 @t73)))) % 173.03/173.43 (assume @p216 (forall @t374 (= (_ @t372 @t66) @t344))) % 173.03/173.43 (assume @p217 (forall @t375 (= (_ @t373 @t74) @t346))) % 173.03/173.43 (assume @p218 (forall @t382 (=> @t381 (=> (not @t379) @t378)))) % 173.03/173.43 (assume @p219 (forall @t389 (=> @t388 (=> (not @t386) @t385)))) % 173.03/173.43 (assume @p220 (forall @t396 (= (_ @t395 @t393) (_ @t392 @t390)))) % 173.03/173.43 (assume @p221 (forall @t403 (= (_ @t402 @t400) (_ @t399 @t397)))) % 173.03/173.43 (assume @p222 (forall @t354 (= @t95 (_ tptp.uminus_uminus_a @t90)))) % 173.03/173.43 (assume @p223 (forall (@list @t65 @t6 @t5) (= (_ @t234 @t9) (_ (_ tptp.inner_1173012732nner_a @t342) @t109)))) % 173.03/173.43 (assume @p224 (forall @t374 (= (_ tptp.uminus_uminus_a @t344) @t66))) % 173.03/173.43 (assume @p225 (forall @t375 (= (_ tptp.uminus_uminus_real @t346) @t74))) % 173.03/173.43 (assume @p226 (forall @t382 (= (_ (_ tptp.ord_less_eq_set_a @t407) @t406) @t405))) % 173.03/173.43 (assume @p227 (forall @t389 (= (_ (_ tptp.ord_less_eq_set_real @t411) @t410) @t409))) % 173.03/173.43 (assume @p228 (forall @t382 (=> @t381 (_ (_ tptp.ord_less_eq_set_a @t406) @t407)))) % 173.03/173.43 (assume @p229 (forall @t389 (=> @t388 (_ (_ tptp.ord_less_eq_set_real @t410) @t411)))) % 173.03/173.43 (assume @p230 (forall @t382 (=> @t381 (=> @t405 @t379)))) % 173.03/173.43 (assume @p231 (forall @t389 (=> @t388 (=> @t409 @t386)))) % 173.03/173.43 (assume @p232 (forall @t382 (=> (forall @t412 (=> (_ @t231 @t135) (_ @t231 @t376))) @t381))) % 173.03/173.43 (assume @p233 (forall @t389 (=> (forall @t262 (=> (_ @t413 @t137) (_ @t413 @t383))) @t388))) % 173.03/173.43 (assume @p234 (forall @t382 (= (_ (_ tptp.minus_minus_set_a @t414) @t376) @t414))) % 173.03/173.43 (assume @p235 (forall @t421 (= @t420 (and @t418 @t417)))) % 173.03/173.43 (assume @p236 (forall @t427 (= @t426 (and @t425 @t424)))) % 173.03/173.43 (assume @p237 (forall @t421 (=> @t418 (=> @t417 @t420)))) % 173.03/173.43 (assume @p238 (forall @t427 (=> @t425 (=> @t424 @t426)))) % 173.03/173.43 (assume @p239 (forall (@list @t428) (= (_ tptp.poinca659159244_rot_a (_ tptp.poinca659159244_rot_a @t428)) (_ tptp.uminus_uminus_a @t428)))) % 173.03/173.43 (assume @p240 (forall @t79 (or @t162 @t307 (not @t84)))) % 173.03/173.43 (assume @p241 (forall @t98 (not (_ @t208 @t73)))) % 173.03/173.43 (assume @p242 (forall @t72 (=> @t106 @t345))) % 173.03/173.43 (assume @p243 (forall @t79 (=> @t162 @t347))) % 173.03/173.43 (assume @p244 (forall @t431 (= @t430 (forall @t105 (=> (_ @t127 @t103) (_ @t429 @t103)))))) % 173.03/173.43 (assume @p245 (forall @t434 (= @t433 (forall @t140 (=> (_ @t129 @t138) (_ @t432 @t138)))))) % 173.03/173.43 (assume @p246 (= (lambda (@list @t441 @t440) (= @t441 @t440)) (lambda @t439 (and @t438 @t437)))) % 173.03/173.43 (assume @p247 (= (lambda (@list @t448 @t447) (= @t448 @t447)) (lambda @t446 (and @t445 @t444)))) % 173.03/173.43 (assume @p248 (forall @t452 (=> @t381 (=> @t451 @t450)))) % 173.03/173.43 (assume @p249 (forall @t456 (=> @t388 (=> @t455 @t454)))) % 173.03/173.43 (assume @p250 (forall @t431 (=> (forall @t412 (=> (_ @t127 @t230) (_ @t429 @t230))) @t430))) % 173.03/173.43 (assume @p251 (forall @t434 (=> (forall @t262 (=> (_ @t129 @t256) (_ @t432 @t256))) @t433))) % 173.03/173.43 (assume @p252 (forall @t136 (_ @t380 @t135))) % 173.03/173.43 (assume @p253 (forall @t141 (_ @t387 @t137))) % 173.03/173.43 (assume @p254 (forall @t382 (=> @t379 @t405))) % 173.03/173.43 (assume @p255 (forall @t389 (=> @t386 @t409))) % 173.03/173.43 (assume @p256 (forall @t382 (=> @t379 @t381))) % 173.03/173.43 (assume @p257 (forall @t389 (=> @t386 @t388))) % 173.03/173.43 (assume @p258 (= tptp.ord_less_eq_set_a (lambda @t439 (forall @t105 (=> (_ @t104 @t435) (_ @t104 @t436)))))) % 173.03/173.43 (assume @p259 (= tptp.ord_less_eq_set_real (lambda @t446 (forall @t140 (=> (_ @t139 @t442) (_ @t139 @t443)))))) % 173.03/173.43 (assume @p260 (forall @t382 (=> @t379 (not (=> @t381 (not @t405)))))) % 173.03/173.43 (assume @p261 (forall @t389 (=> @t386 (not (=> @t388 (not @t409)))))) % 173.03/173.43 (assume @p262 (forall @t458 (=> @t381 @t457))) % 173.03/173.43 (assume @p263 (forall @t460 (=> @t388 @t459))) % 173.03/173.43 (assume @p264 (forall (@list @t135 @t376 @t6) (=> @t381 (=> (_ @t62 @t135) (_ @t62 @t376))))) % 173.03/173.43 (assume @p265 (forall (@list @t137 @t383 @t47) (=> @t388 (=> (_ @t59 @t137) (_ @t59 @t383))))) % 173.03/173.43 (assume @p266 (forall @t421 (=> @t420 @t417))) % 173.03/173.43 (assume @p267 (forall @t427 (=> @t426 @t424))) % 173.03/173.43 (assume @p268 (forall @t421 (=> @t420 @t418))) % 173.03/173.43 (assume @p269 (forall @t427 (=> @t426 @t425))) % 173.03/173.43 (assume @p270 (forall @t421 (=> @t420 (not @t459)))) % 173.03/173.43 (assume @p271 (forall @t427 (=> @t426 (not @t457)))) % 173.03/173.43 (assume @p272 (forall @t458 (=> @t378 @t457))) % 173.03/173.43 (assume @p273 (forall @t460 (=> @t385 @t459))) % 173.03/173.43 (assume @p274 (forall (@list @t461 @t462) (= (not (_ (_ tptp.ord_less_eq_real @t461) @t462)) (_ (_ tptp.ord_less_real @t462) @t461)))) % 173.03/173.43 (assume @p275 (forall @t464 (=> (_ @t463 @t390) (_ @t395 @t391)))) % 173.03/173.43 (assume @p276 (forall @t466 (=> (_ @t465 @t397) (_ @t402 @t398)))) % 173.03/173.43 (assume @p277 (forall @t464 (=> (_ @t392 @t394) (_ @t467 @t393)))) % 173.03/173.43 (assume @p278 (forall @t466 (=> (_ @t399 @t401) (_ @t468 @t400)))) % 173.03/173.43 (assume @p279 (forall @t396 (=> (_ @t467 @t391) (_ @t463 @t394)))) % 173.03/173.43 (assume @p280 (forall @t403 (=> (_ @t468 @t398) (_ @t465 @t401)))) % 173.03/173.43 (assume @p281 (forall @t72 (=> @t206 @t359))) % 173.03/173.43 (assume @p282 (forall @t79 (=> @t209 @t361))) % 173.03/173.43 (assume @p283 (forall @t452 (=> @t381 (=> @t451 (= (_ @t470 (_ @t469 @t135)) @t135))))) % 173.03/173.43 (assume @p284 (forall @t456 (=> @t388 (=> @t455 (= (_ @t472 (_ @t471 @t137)) @t137))))) % 173.03/173.43 (assume @p285 (forall @t382 (_ @t473 @t135))) % 173.03/173.43 (assume @p286 (forall @t389 (_ @t474 @t137))) % 173.03/173.43 (assume @p287 (forall (@list @t135 @t449 @t475 @t376) (=> @t450 (=> (_ (_ tptp.ord_less_eq_set_a @t475) @t376) (_ @t473 (_ @t469 @t475)))))) % 173.03/173.43 (assume @p288 (forall (@list @t137 @t453 @t476 @t383) (=> @t454 (=> (_ (_ tptp.ord_less_eq_set_real @t476) @t383) (_ @t474 (_ @t471 @t476)))))) % 173.03/173.43 (assume @p289 (= tptp.ord_less_eq_set_a (lambda @t439 (or (_ (_ tptp.ord_less_set_a @t435) @t436) @t477)))) % 173.03/173.43 (assume @p290 (= tptp.ord_less_eq_set_real (lambda @t446 (or (_ (_ tptp.ord_less_set_real @t442) @t443) @t478)))) % 173.03/173.43 (assume @p291 (forall @t452 (=> @t381 (=> (_ (_ tptp.ord_less_set_a @t376) @t449) @t479)))) % 173.03/173.43 (assume @p292 (forall @t456 (=> @t388 (=> (_ (_ tptp.ord_less_set_real @t383) @t453) @t480)))) % 173.03/173.43 (assume @p293 (forall @t452 (=> @t378 (=> @t451 @t479)))) % 173.03/173.43 (assume @p294 (forall @t456 (=> @t385 (=> @t455 @t480)))) % 173.03/173.43 (assume @p295 (forall @t382 (=> @t378 @t381))) % 173.03/173.43 (assume @p296 (forall @t389 (=> @t385 @t388))) % 173.03/173.43 (assume @p297 (= tptp.ord_less_set_a (lambda @t439 (and @t438 (not @t477))))) % 173.03/173.43 (assume @p298 (= tptp.ord_less_set_real (lambda @t446 (and @t445 (not @t478))))) % 173.03/173.43 (assume @p299 (forall @t382 (=> @t378 (not (=> @t381 @t405))))) % 173.03/173.43 (assume @p300 (forall @t389 (=> @t385 (not (=> @t388 @t409))))) % 173.03/173.43 (assume @p301 (forall @t389 (=> @t385 (exists (@list @t251) (_ (_ tptp.member_real @t251) (_ @t472 @t137)))))) % 173.03/173.43 (assume @p302 (forall @t382 (=> @t378 (exists (@list @t242) (_ (_ tptp.member_a @t242) (_ @t470 @t135)))))) % 173.03/173.43 (assume @p303 (forall @t39 (=> @t227 (not (forall @t485 (=> @t484 (not (_ @t483 @t482)))))))) % 173.03/173.43 (assume @p304 (forall @t39 (=> @t227 (not (forall @t485 (=> @t484 (not (_ @t483 @t487)))))))) % 173.03/173.43 (assume @p305 (forall @t39 (=> @t227 (exists @t259 (and @t490 @t489 (_ @t488 @t482)))))) % 173.03/173.43 (assume @p306 (forall @t496 @t495)) % 173.03/173.43 (assume @p307 (forall @t502 (=> @t501 @t494))) % 173.03/173.43 (assume @p308 (forall @t505 (= @t504 @t503))) % 173.03/173.43 (assume @p309 (forall @t508 (= @t507 @t506))) % 173.03/173.43 (assume @p310 (forall @t505 (=> @t503 @t504))) % 173.03/173.43 (assume @p311 (forall @t508 (=> @t506 @t507))) % 173.03/173.43 (assume @p312 (forall @t496 @t510)) % 173.03/173.43 (assume @p313 (forall @t502 (=> (_ @t500 @t509) @t494))) % 173.03/173.43 (assume @p314 (forall @t514 (=> @t513 (_ @t511 @t492)))) % 173.03/173.43 (assume @p315 (forall @t514 (=> @t513 (_ @t515 @t492)))) % 173.03/173.43 (assume @p316 (forall @t39 (=> @t227 (exists @t259 (and @t490 @t489 (_ @t488 @t487)))))) % 173.03/173.43 (assume @p317 (forall @t514 (=> @t516 (_ @t511 @t509)))) % 173.03/173.43 (assume @p318 (forall @t514 (=> @t516 (_ @t515 @t509)))) % 173.03/173.43 (assume @p319 (forall @t514 (=> @t513 @t494))) % 173.03/173.43 (assume @p320 (forall @t514 (=> @t516 @t494))) % 173.03/173.43 (assume @p321 (forall @t505 (=> @t504 @t503))) % 173.03/173.43 (assume @p322 (forall @t508 (=> @t507 @t506))) % 173.03/173.43 (assume @p323 (forall @t496 (_ tptp.initia826609931terval @t509))) % 173.03/173.43 (assume @p324 (forall @t496 (_ tptp.initia826609931terval @t492))) % 173.03/173.43 (assume @p325 (forall @t39 (=> @t348 @t517))) % 173.03/173.43 (assume @p326 (forall @t39 (=> @t227 (=> @t341 @t517)))) % 173.03/173.43 (assume @p327 (_ tptp.initia826609931terval tptp.top_top_set_real)) % 173.03/173.43 (assume @p328 (forall @t39 (_ @t62 tptp.top_top_set_a))) % 173.03/173.43 (assume @p329 (forall @t51 (_ @t59 tptp.top_top_set_real))) % 173.03/173.43 (assume @p330 (forall @t514 (=> @t513 @t518))) % 173.03/173.43 (assume @p331 (forall @t496 (=> @t519 @t495))) % 173.03/173.43 (assume @p332 (forall @t514 (=> @t516 @t518))) % 173.03/173.43 (assume @p333 (forall @t502 (=> @t501 @t520))) % 173.03/173.43 (assume @p334 (forall (@list @t497 @t491) (=> @t520 (=> @t494 (_ (_ tptp.member_real (_ (_ tptp.minus_minus_real @t497) @t497)) @t492))))) % 173.03/173.43 (assume @p335 (forall (@list @t498 @t521 @t6) (=> @t522 (=> @t227 (=> (forall (@list (@var "S" tptp.real) (@var "T3" tptp.real) @t230) (=> (_ @t231 tptp.x) (= @t523 @t523))) (=> (= tptp.top_top_set_real tptp.top_top_set_real) @t522)))))) % 173.03/173.43 (assume @p336 (forall @t502 (=> @t501 @t518))) % 173.03/173.43 (assume @p337 (forall @t496 (_ (_ tptp.ord_less_eq_set_real @t492) tptp.top_top_set_real))) % 173.03/173.43 (assume @p338 (forall @t39 (=> @t227 (=> @t226 @t524)))) % 173.03/173.43 (assume @p339 (forall @t39 (=> @t339 @t524))) % 173.03/173.43 (assume @p340 (forall @t496 (=> @t519 @t510))) % 173.03/173.43 (assume @p341 @t537) % 173.03/173.43 (assume @p342 true) % 173.03/173.43 (step @p343 (= tptp.ord_less_real @t540) :rule refl :args (@t540)) % 173.03/173.43 (step @p344 (= tptp.uminus_uminus_a_a @t542) :rule refl :args (@t542)) % 173.03/173.43 (step @p345 (= tptp.ord_less_eq_set_a @t545) :rule refl :args (@t545)) % 173.03/173.43 (step @p346 (= tptp.ord_less_eq_set_real @t548) :rule refl :args (@t548)) % 173.03/173.43 (step @p347 (= tptp.ord_less_set_a @t549) :rule refl :args (@t549)) % 173.03/173.43 (step @p348 (= tptp.ord_less_set_real @t550) :rule refl :args (@t550)) % 173.03/173.43 ; WARNING: add trust step for TRUST % 173.03/173.43 ; trust TRUST PREPROCESS_HO_ELIM % 173.03/173.43 (step @p349 :rule trust :premises () :args ((= @t557 (and @t556 (not @t554))))) % 173.03/173.43 (step @p350 :rule beta-reduce :args ((= (_ @t558 tptp.d) @t557))) % 173.03/173.43 (step @p351 :rule refl :args (tptp.d)) % 173.03/173.43 (step @p352 :rule beta-reduce :args ((= @t559 @t558))) % 173.03/173.43 (step @p353 :rule ho_cong :premises (@p352 @p351)) % 173.03/173.43 (step @p354 :rule trans :premises (@p353 @p350)) % 173.03/173.43 (step @p355 :rule refl :args (tptp.zero_zero_real)) % 173.03/173.43 (step @p356 :rule ho_cong :premises (@p343 @p355)) % 173.03/173.43 (step @p357 :rule ho_cong :premises (@p356 @p351)) % 173.03/173.43 (step @p358 :rule trans :premises (@p357 @p354)) % 173.03/173.43 (step @p359 :rule trans :premises (@p358 @p349)) % 173.03/173.43 (step @p360 :rule eq_resolve :premises (@p1 @p359)) % 173.03/173.43 (step @p361 :rule and_elim :premises (@p360) :args (0)) % 173.03/173.43 (step @p362 :rule and_elim :premises (@p360) :args (1)) % 173.03/173.43 ; trust TRUST PREPROCESS_HO_ELIM % 173.03/173.43 (step @p363 :rule trust :premises () :args ((= (forall @t35 (or (not @t583) (and @t581 (not (= tptp.zero_zero_a @t577)) @t580 (not @t579)))) (forall @t35 (or (not (_ @t571 @t570 @t574)) (and (_ @t571 @t570 tptp.x) (not (= tptp.zero_zero_a @t563)) (_ @t553 @t555 @t567) (not (_ @t553 (_ @t552 @t551 @t567) tptp.zero_zero_real)))))))) % 173.03/173.43 (step @p364 :rule refl :args ((tptp.ord_less_eq_real @t31 tptp.zero_zero_real))) % 173.03/173.43 (step @p365 :rule refl :args (tptp.zero_zero_real)) % 173.03/173.43 (step @p366 :rule refl :args ((tptp.inner_1173012732nner_a @t27 @t14))) % 173.03/173.43 (step @p367 :rule refl :args ((tptp.poinca659159244_rot_a @t13))) % 173.03/173.43 (step @p368 :rule refl :args (@t575)) % 173.03/173.43 (step @p369 :rule cong :premises (@p368) :args (@t576)) % 173.03/173.43 (step @p370 :rule trans :premises (@p369 @p367)) % 173.03/173.43 (step @p371 :rule refl :args (@t577)) % 173.03/173.43 (step @p372 :rule cong :premises (@p371 @p370) :args (@t578)) % 173.03/173.43 (step @p373 :rule trans :premises (@p372 @p366)) % 173.03/173.43 (step @p374 :rule cong :premises (@p373 @p365) :args (@t579)) % 173.03/173.43 (step @p375 :rule trans :premises (@p374 @p364)) % 173.03/173.43 (step @p376 :rule refl :args (tptp.ord_less_eq_real)) % 173.03/173.43 (step @p377 :rule ho_cong :premises (@p376 @p373)) % 173.03/173.43 (step @p378 :rule ho_cong :premises (@p377 @p365)) % 173.03/173.43 (step @p379 :rule cong :premises (@p378 @p375) :args ((= (_ (_ tptp.ord_less_eq_real @t578) tptp.zero_zero_real) @t579))) % 173.03/173.43 (step @p380 :rule symm :premises (@p379)) % 173.03/173.43 (step @p381 :rule refl :args (@t584)) % 173.03/173.43 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 173.03/173.43 (step @p383 :rule refl :args (tptp.inner_1173012732nner_a)) % 173.03/173.43 (step @p384 :rule ho_cong :premises (@p383 @p371)) % 173.03/173.43 (step @p385 :rule ho_cong :premises (@p384 @p370)) % 173.03/173.43 (step @p386 :rule cong :premises (@p385 @p373) :args ((= (_ (_ tptp.inner_1173012732nner_a @t577) @t576) @t578))) % 173.03/173.43 (step @p387 :rule symm :premises (@p386)) % 173.03/173.43 (step @p388 :rule refl :args (@t31)) % 173.03/173.43 (step @p389 :rule eq_resolve :premises (@p388 @p387)) % 173.03/173.43 (step @p390 :rule refl :args (tptp.poinca659159244_rot_a)) % 173.03/173.43 (step @p391 :rule ho_cong :premises (@p390 @p368)) % 173.03/173.43 (step @p392 :rule cong :premises (@p391 @p370) :args ((= (_ tptp.poinca659159244_rot_a @t575) @t576))) % 173.03/173.43 (step @p393 :rule symm :premises (@p392)) % 173.03/173.43 (step @p394 :rule refl :args (@t14)) % 173.03/173.43 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 173.03/173.43 (step @p396 :rule refl :args (@t13)) % 173.03/173.43 (step @p397 :rule cong :premises (@p396 @p368) :args ((= @t13 @t575))) % 173.03/173.43 (step @p398 :rule symm :premises (@p397)) % 173.03/173.43 (step @p399 :rule eq_resolve :premises (@p396 @p398)) % 173.03/173.43 (step @p400 :rule ho_cong :premises (@p390 @p399)) % 173.03/173.43 (step @p401 :rule trans :premises (@p400 @p395)) % 173.03/173.43 (step @p402 :rule refl :args (@t27)) % 173.03/173.43 (step @p403 :rule cong :premises (@p402 @p371) :args ((= @t27 @t577))) % 173.03/173.43 (step @p404 :rule symm :premises (@p403)) % 173.03/173.43 (step @p405 :rule eq_resolve :premises (@p402 @p404)) % 173.03/173.43 (step @p406 :rule ho_cong :premises (@p383 @p405)) % 173.03/173.43 (step @p407 :rule ho_cong :premises (@p406 @p401)) % 173.03/173.43 (step @p408 :rule trans :premises (@p407 @p389)) % 173.03/173.43 (step @p409 :rule ho_cong :premises (@p376 @p408)) % 173.03/173.43 (step @p410 :rule ho_cong :premises (@p409 @p365)) % 173.03/173.43 (step @p411 :rule trans :premises (@p410 @p382)) % 173.03/173.43 (step @p412 :rule cong :premises (@p411) :args (@t585)) % 173.03/173.43 (step @p413 :rule refl :args ((tptp.ord_less_eq_real tptp.zero_zero_real @t31))) % 173.03/173.43 (step @p414 :rule cong :premises (@p365 @p373) :args (@t580)) % 173.03/173.43 (step @p415 :rule trans :premises (@p414 @p413)) % 173.03/173.43 (step @p416 :rule refl :args (@t55)) % 173.03/173.43 (step @p417 :rule ho_cong :premises (@p416 @p373)) % 173.03/173.43 (step @p418 :rule cong :premises (@p417 @p415) :args ((= (_ @t55 @t578) @t580))) % 173.03/173.43 (step @p419 :rule symm :premises (@p418)) % 173.03/173.43 (step @p420 :rule refl :args (@t586)) % 173.03/173.43 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 173.03/173.43 (step @p422 :rule ho_cong :premises (@p416 @p408)) % 173.03/173.43 (step @p423 :rule trans :premises (@p422 @p421)) % 173.03/173.43 (step @p424 :rule refl :args (tptp.zero_zero_a)) % 173.03/173.43 (step @p425 :rule cong :premises (@p424 @p405) :args (@t587)) % 173.03/173.43 (step @p426 :rule cong :premises (@p425) :args (@t588)) % 173.03/173.43 (step @p427 :rule refl :args (@t581)) % 173.03/173.43 (step @p428 :rule refl :args (@t30)) % 173.03/173.43 (step @p429 :rule cong :premises (@p428 @p427) :args ((= @t30 @t581))) % 173.03/173.43 (step @p430 :rule symm :premises (@p429)) % 173.03/173.43 (step @p431 :rule eq_resolve :premises (@p428 @p430)) % 173.03/173.43 (step @p432 :rule nary_cong :premises (@p431 @p426 @p423 @p412) :args (@t589)) % 173.03/173.43 (step @p433 :rule refl :args ((tptp.member_a @t5 @t3))) % 173.03/173.43 (step @p434 :rule refl :args (@t582)) % 173.03/173.43 (step @p435 :rule refl :args (@t5)) % 173.03/173.43 (step @p436 :rule cong :premises (@p435 @p434) :args (@t583)) % 173.03/173.43 (step @p437 :rule trans :premises (@p436 @p433)) % 173.03/173.43 (step @p438 :rule refl :args (@t29)) % 173.03/173.43 (step @p439 :rule ho_cong :premises (@p438 @p434)) % 173.03/173.43 (step @p440 :rule cong :premises (@p439 @p437) :args ((= (_ @t29 @t582) @t583))) % 173.03/173.43 (step @p441 :rule symm :premises (@p440)) % 173.03/173.43 (step @p442 :rule refl :args (@t33)) % 173.03/173.43 (step @p443 :rule eq_resolve :premises (@p442 @p441)) % 173.03/173.43 (step @p444 :rule refl :args (@t3)) % 173.03/173.43 (step @p445 :rule cong :premises (@p444 @p434) :args ((= @t3 @t582))) % 173.03/173.43 (step @p446 :rule symm :premises (@p445)) % 173.03/173.43 (step @p447 :rule eq_resolve :premises (@p444 @p446)) % 173.03/173.43 (step @p448 :rule ho_cong :premises (@p438 @p447)) % 173.03/173.43 (step @p449 :rule trans :premises (@p448 @p443)) % 173.03/173.43 (step @p450 :rule cong :premises (@p449) :args (@t590)) % 173.03/173.43 (step @p451 :rule nary_cong :premises (@p450 @p432) :args (@t591)) % 173.03/173.43 (step @p452 :rule cong :premises (@p451) :args ((forall @t35 @t591))) % 173.03/173.43 (step @p453 :rule bool-impl-elim :args (@t33 @t589)) % 173.03/173.43 (step @p454 :rule cong :premises (@p453) :args ((forall @t35 (=> @t33 @t589)))) % 173.03/173.43 (step @p455 :rule trans :premises (@p454 @p452)) % 173.03/173.43 (step @p456 :rule aci_norm :args ((= (and @t592 @t30 @t588) @t589))) % 173.03/173.43 (step @p457 :rule eq-symm :args (@t27 tptp.zero_zero_a)) % 173.03/173.43 (step @p458 :rule cong :premises (@p457) :args (@t28)) % 173.03/173.43 (step @p459 :rule refl :args (@t30)) % 173.03/173.43 (step @p460 :rule beta-reduce :args ((= (_ @t558 @t31) @t592))) % 173.03/173.43 (step @p461 :rule refl :args (@t31)) % 173.03/173.43 (step @p462 :rule ho_cong :premises (@p352 @p461)) % 173.03/173.43 (step @p463 :rule trans :premises (@p462 @p460)) % 173.03/173.43 (step @p464 :rule nary_cong :premises (@p463 @p459 @p458) :args (@t593)) % 173.03/173.43 (step @p465 :rule trans :premises (@p464 @p456)) % 173.03/173.43 (step @p466 :rule refl :args (@t33)) % 173.03/173.43 (step @p467 :rule cong :premises (@p466 @p465) :args (@t594)) % 173.03/173.43 (step @p468 :rule cong :premises (@p467) :args ((forall @t35 @t594))) % 173.03/173.43 (step @p469 :rule trans :premises (@p468 @p455)) % 173.03/173.43 (step @p470 :rule refl :args (@t28)) % 173.03/173.43 (step @p471 :rule ho_cong :premises (@p356 @p461)) % 173.03/173.43 (step @p472 :rule nary_cong :premises (@p471 @p459 @p470) :args (@t32)) % 173.03/173.43 (step @p473 :rule cong :premises (@p466 @p472) :args (@t34)) % 173.03/173.43 (step @p474 :rule cong :premises (@p473) :args (@t36)) % 173.03/173.43 (step @p475 :rule trans :premises (@p474 @p469)) % 173.03/173.43 (step @p476 :rule trans :premises (@p475 @p363)) % 173.03/173.43 (step @p477 :rule eq_resolve :premises (@p9 @p476)) % 173.03/173.43 (step @p478 :rule instantiate :premises (@p477) :args ((@list tptp.s))) % 173.03/173.43 ; trust TRUST PREPROCESS_HO_ELIM % 173.03/173.43 (step @p479 :rule trust :premises () :args ((= @t4 @t596))) % 173.03/173.43 (step @p480 :rule eq_resolve :premises (@p2 @p479)) % 173.03/173.43 (step @p481 :rule cnf_or_pos :args (@t605)) % 173.03/173.43 (step @p482 :rule reordering :premises (@p481) :args ((or @t604 @t603 (not @t605)))) % 173.03/173.43 (step @p483 :rule chain_m_resolution :premises (@p482 @p480 @p478) :args (@t603 (@list false false) (@list @t596 @t605))) % 173.03/173.43 (step @p484 :rule cnf_and_pos :args (@t603 2)) % 173.03/173.43 (step @p485 :rule reordering :premises (@p484) :args ((or @t602 @t606))) % 173.03/173.43 (step @p486 :rule chain_m_resolution :premises (@p485 @p483) :args (@t602 @t607 @t608)) % 173.03/173.43 (step @p487 :rule cnf_and_pos :args (@t603 3)) % 173.03/173.43 (step @p488 :rule reordering :premises (@p487) :args ((or @t601 @t606))) % 173.03/173.43 (step @p489 :rule chain_m_resolution :premises (@p488 @p483) :args (@t601 @t607 @t608)) % 173.03/173.43 ; trust TRUST PREPROCESS_HO_ELIM % 173.03/173.43 (step @p490 :rule trust :premises () :args ((= (forall @t24 (or (not @t615) @t614)) @t609))) % 173.03/173.43 (step @p491 :rule refl :args ((tptp.ord_less_eq_real @t20 @t18))) % 173.03/173.43 (step @p492 :rule refl :args ((tptp.inner_1173012732nner_a @t16 @t14))) % 173.03/173.43 (step @p493 :rule refl :args (@t610)) % 173.03/173.43 (step @p494 :rule cong :premises (@p493 @p370) :args (@t611)) % 173.03/173.43 (step @p495 :rule trans :premises (@p494 @p492)) % 173.03/173.43 (step @p496 :rule refl :args ((tptp.inner_1173012732nner_a @t19 @t14))) % 173.03/173.43 (step @p497 :rule refl :args (@t612)) % 173.03/173.43 (step @p498 :rule cong :premises (@p497 @p370) :args (@t613)) % 173.03/173.43 (step @p499 :rule trans :premises (@p498 @p496)) % 173.03/173.43 (step @p500 :rule cong :premises (@p499 @p495) :args (@t614)) % 173.03/173.43 (step @p501 :rule trans :premises (@p500 @p491)) % 173.03/173.43 (step @p502 :rule ho_cong :premises (@p376 @p499)) % 173.03/173.43 (step @p503 :rule ho_cong :premises (@p502 @p495)) % 173.03/173.43 (step @p504 :rule cong :premises (@p503 @p501) :args ((= (_ (_ tptp.ord_less_eq_real @t613) @t611) @t614))) % 173.03/173.43 (step @p505 :rule symm :premises (@p504)) % 173.03/173.43 (step @p506 :rule refl :args (@t21)) % 173.03/173.43 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 173.03/173.43 (step @p508 :rule ho_cong :premises (@p383 @p493)) % 173.03/173.43 (step @p509 :rule ho_cong :premises (@p508 @p370)) % 173.03/173.43 (step @p510 :rule cong :premises (@p509 @p495) :args ((= (_ (_ tptp.inner_1173012732nner_a @t610) @t576) @t611))) % 173.03/173.43 (step @p511 :rule symm :premises (@p510)) % 173.03/173.43 (step @p512 :rule refl :args (@t18)) % 173.03/173.43 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 173.03/173.43 (step @p514 :rule refl :args (@t16)) % 173.03/173.43 (step @p515 :rule cong :premises (@p514 @p493) :args ((= @t16 @t610))) % 173.03/173.43 (step @p516 :rule symm :premises (@p515)) % 173.03/173.43 (step @p517 :rule eq_resolve :premises (@p514 @p516)) % 173.03/173.43 (step @p518 :rule ho_cong :premises (@p383 @p517)) % 173.03/173.43 (step @p519 :rule ho_cong :premises (@p518 @p401)) % 173.03/173.43 (step @p520 :rule trans :premises (@p519 @p513)) % 173.03/173.43 (step @p521 :rule ho_cong :premises (@p383 @p497)) % 173.03/173.43 (step @p522 :rule ho_cong :premises (@p521 @p370)) % 173.03/173.43 (step @p523 :rule cong :premises (@p522 @p499) :args ((= (_ (_ tptp.inner_1173012732nner_a @t612) @t576) @t613))) % 173.03/173.43 (step @p524 :rule symm :premises (@p523)) % 173.03/173.43 (step @p525 :rule refl :args (@t20)) % 173.03/173.43 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 173.03/173.43 (step @p527 :rule refl :args (@t19)) % 173.03/173.43 (step @p528 :rule cong :premises (@p527 @p497) :args ((= @t19 @t612))) % 173.03/173.43 (step @p529 :rule symm :premises (@p528)) % 173.03/173.43 (step @p530 :rule eq_resolve :premises (@p527 @p529)) % 173.03/173.43 (step @p531 :rule ho_cong :premises (@p383 @p530)) % 173.03/173.43 (step @p532 :rule ho_cong :premises (@p531 @p401)) % 173.03/173.43 (step @p533 :rule trans :premises (@p532 @p526)) % 173.03/173.43 (step @p534 :rule ho_cong :premises (@p376 @p533)) % 173.03/173.43 (step @p535 :rule ho_cong :premises (@p534 @p520)) % 173.03/173.43 (step @p536 :rule trans :premises (@p535 @p507)) % 173.03/173.43 (step @p537 :rule refl :args ((tptp.member_a @t15 @t3))) % 173.03/173.43 (step @p538 :rule refl :args (@t15)) % 173.03/173.43 (step @p539 :rule cong :premises (@p538 @p434) :args (@t615)) % 173.03/173.43 (step @p540 :rule trans :premises (@p539 @p537)) % 173.03/173.43 (step @p541 :rule refl :args (@t22)) % 173.03/173.43 (step @p542 :rule ho_cong :premises (@p541 @p434)) % 173.03/173.43 (step @p543 :rule cong :premises (@p542 @p540) :args ((= (_ @t22 @t582) @t615))) % 173.03/173.43 (step @p544 :rule symm :premises (@p543)) % 173.03/173.43 (step @p545 :rule refl :args (@t23)) % 173.03/173.43 (step @p546 :rule eq_resolve :premises (@p545 @p544)) % 173.03/173.43 (step @p547 :rule ho_cong :premises (@p541 @p447)) % 173.03/173.43 (step @p548 :rule trans :premises (@p547 @p546)) % 173.03/173.43 (step @p549 :rule cong :premises (@p548) :args (@t616)) % 173.03/173.43 (step @p550 :rule nary_cong :premises (@p549 @p536) :args (@t617)) % 173.03/173.43 (step @p551 :rule cong :premises (@p550) :args ((forall @t24 @t617))) % 173.03/173.43 (step @p552 :rule bool-impl-elim :args (@t23 @t21)) % 173.03/173.43 (step @p553 :rule cong :premises (@p552) :args (@t25)) % 173.03/173.43 (step @p554 :rule trans :premises (@p553 @p551)) % 173.03/173.43 (step @p555 :rule trans :premises (@p554 @p490)) % 173.03/173.43 (step @p556 :rule eq_resolve :premises (@p6 @p555)) % 173.03/173.43 (step @p557 :rule alpha_equiv :args (@t609 (@list @t15) (@list @t230))) % 173.03/173.43 (step @p558 :rule equiv_elim1 :premises (@p557)) % 173.03/173.43 (step @p559 :rule chain_m_resolution :premises (@p558 @p556) :args (@t620 @t607 (@list @t609))) % 173.03/173.43 ; trust TRUST PREPROCESS_HO_ELIM % 173.03/173.43 (step @p560 :rule trust :premises () :args ((= @t636 (forall @t623 (or (not (_ @t553 @t555 @t255)) (_ @t553 (_ @t552 @t551 @t255) tptp.zero_zero_real) (not (forall @t412 (or (not (_ @t571 @t619 (_ @t573 @t572 @t255))) (_ @t553 @t622 @t618)))) (not (_ @t553 @t555 @t621)) (_ @t553 @t622 tptp.zero_zero_real)))))) % 173.03/173.43 (step @p561 :rule bool-double-not-elim :args (@t636)) % 173.03/173.43 (step @p562 :rule aci_norm :args ((= @t638 @t635))) % 173.03/173.43 (step @p563 :rule cong :premises (@p562) :args (@t639)) % 173.03/173.43 (step @p564 :rule quant-merge-prenex :args ((= (forall @t261 @t641) @t639))) % 173.03/173.43 (step @p565 :rule refl :args (@t632)) % 173.03/173.43 (step @p566 :rule refl :args (@t634)) % 173.03/173.43 (step @p567 :rule alpha_equiv :args (@t642 (@list @t621) (@list @t526))) % 173.03/173.43 (step @p568 :rule nary_cong :premises (@p567 @p566 @p565) :args (@t643)) % 173.03/173.43 (step @p569 :rule quant-miniscope-or :args ((= @t641 @t643))) % 173.03/173.43 (step @p570 :rule trans :premises (@p569 @p568)) % 173.03/173.43 (step @p571 :rule symm :premises (@p570)) % 173.03/173.43 (step @p572 :rule cong :premises (@p571) :args ((forall @t261 (or @t649 @t634 @t632)))) % 173.03/173.43 (step @p573 :rule trans :premises (@p572 @p564)) % 173.03/173.43 (step @p574 :rule trans :premises (@p573 @p563)) % 173.03/173.43 (step @p575 :rule refl :args (@t632)) % 173.03/173.43 (step @p576 :rule refl :args (@t650)) % 173.03/173.43 (step @p577 :rule cong :premises (@p576 @p575) :args ((= @t650 @t632))) % 173.03/173.43 (step @p578 :rule symm :premises (@p577)) % 173.03/173.43 (step @p579 :rule eq_resolve :premises (@p576 @p578)) % 173.03/173.43 (step @p580 :rule refl :args (@t633)) % 173.03/173.43 (step @p581 :rule refl :args (@t651)) % 173.03/173.43 (step @p582 :rule cong :premises (@p581 @p580) :args ((= @t651 @t633))) % 173.03/173.43 (step @p583 :rule symm :premises (@p582)) % 173.03/173.43 (step @p584 :rule eq_resolve :premises (@p581 @p583)) % 173.03/173.43 (step @p585 :rule cong :premises (@p584) :args (@t652)) % 173.03/173.43 (step @p586 :rule refl :args (@t649)) % 173.03/173.43 (step @p587 :rule nary_cong :premises (@p586 @p585 @p579) :args (@t653)) % 173.03/173.43 (step @p588 :rule cong :premises (@p587) :args ((forall @t261 @t653))) % 173.03/173.43 (step @p589 :rule trans :premises (@p588 @p574)) % 173.03/173.43 (step @p590 :rule bool-double-not-elim :args (@t650)) % 173.03/173.43 (step @p591 :rule refl :args (@t652)) % 173.03/173.43 (step @p592 :rule bool-double-not-elim :args (@t649)) % 173.03/173.43 (step @p593 :rule nary_cong :premises (@p592 @p591 @p590) :args (@t658)) % 173.03/173.43 (step @p594 :rule aci_norm :args ((= (or @t657 (or @t652 @t655)) @t658))) % 173.03/173.43 (step @p595 :rule trans :premises (@p594 @p593)) % 173.03/173.43 (step @p596 :rule bool-and-de-morgan :args (@t651 @t654 true)) % 173.03/173.43 (step @p597 :rule refl :args (@t657)) % 173.03/173.43 (step @p598 :rule nary_cong :premises (@p597 @p596) :args ((or @t657 (not @t659)))) % 173.03/173.43 (step @p599 :rule bool-and-de-morgan :args (@t656 @t651 (and @t654))) % 173.03/173.43 (step @p600 :rule trans :premises (@p599 @p598)) % 173.03/173.43 (step @p601 :rule trans :premises (@p600 @p595)) % 173.03/173.43 (step @p602 :rule cong :premises (@p601) :args (@t661)) % 173.03/173.43 (step @p603 :rule trans :premises (@p602 @p589)) % 173.03/173.43 (step @p604 :rule cong :premises (@p603) :args (@t662)) % 173.03/173.43 (step @p605 :rule exists-elim :args ((= (exists @t261 @t660) @t662))) % 173.03/173.43 (step @p606 :rule trans :premises (@p605 @p604)) % 173.03/173.43 (step @p607 :rule aci_norm :args ((= (and @t659 @t656) @t660))) % 173.03/173.43 (step @p608 :rule refl :args (@t644)) % 173.03/173.43 (step @p609 :rule refl :args (@t663)) % 173.03/173.43 (step @p610 :rule cong :premises (@p609 @p608) :args ((= @t663 @t644))) % 173.03/173.43 (step @p611 :rule symm :premises (@p610)) % 173.03/173.43 (step @p612 :rule eq_resolve :premises (@p609 @p611)) % 173.03/173.43 (step @p613 :rule refl :args (@t645)) % 173.03/173.43 (step @p614 :rule refl :args (@t664)) % 173.03/173.43 (step @p615 :rule cong :premises (@p614 @p613) :args ((= @t664 @t645))) % 173.03/173.43 (step @p616 :rule symm :premises (@p615)) % 173.03/173.43 (step @p617 :rule eq_resolve :premises (@p614 @p616)) % 173.03/173.43 (step @p618 :rule cong :premises (@p617) :args (@t665)) % 173.03/173.43 (step @p619 :rule refl :args (@t648)) % 173.03/173.43 (step @p620 :rule nary_cong :premises (@p619 @p618 @p612) :args (@t666)) % 173.03/173.43 (step @p621 :rule cong :premises (@p620) :args ((forall @t533 @t666))) % 173.03/173.43 (step @p622 :rule bool-double-not-elim :args (@t663)) % 173.03/173.43 (step @p623 :rule refl :args (@t665)) % 173.03/173.43 (step @p624 :rule nary_cong :premises (@p619 @p623 @p622) :args (@t669)) % 173.03/173.43 (step @p625 :rule aci_norm :args ((= (or @t648 (or @t665 @t668)) @t669))) % 173.03/173.43 (step @p626 :rule trans :premises (@p625 @p624)) % 173.03/173.43 (step @p627 :rule bool-and-de-morgan :args (@t664 @t667 true)) % 173.03/173.43 (step @p628 :rule nary_cong :premises (@p619 @p627) :args ((or @t648 (not @t670)))) % 173.03/173.43 (step @p629 :rule bool-and-de-morgan :args (@t647 @t664 (and @t667))) % 173.03/173.43 (step @p630 :rule trans :premises (@p629 @p628)) % 173.03/173.43 (step @p631 :rule trans :premises (@p630 @p626)) % 173.03/173.43 (step @p632 :rule cong :premises (@p631) :args (@t672)) % 173.03/173.43 (step @p633 :rule trans :premises (@p632 @p621)) % 173.03/173.43 (step @p634 :rule cong :premises (@p633) :args (@t673)) % 173.03/173.43 (step @p635 :rule exists-elim :args ((= (exists @t533 @t671) @t673))) % 173.03/173.43 (step @p636 :rule trans :premises (@p635 @p634)) % 173.03/173.43 (step @p637 :rule aci_norm :args ((= (and @t670 @t647) @t671))) % 173.03/173.43 (step @p638 :rule refl :args ((tptp.ord_less_eq_real @t526 @t525))) % 173.03/173.43 (step @p639 :rule refl :args ((tptp.inner_1173012732nner_a @t523 @t14))) % 173.03/173.43 (step @p640 :rule refl :args (@t626)) % 173.03/173.43 (step @p641 :rule cong :premises (@p640 @p370) :args (@t627)) % 173.03/173.43 (step @p642 :rule trans :premises (@p641 @p639)) % 173.03/173.43 (step @p643 :rule refl :args (@t526)) % 173.03/173.43 (step @p644 :rule cong :premises (@p643 @p642) :args (@t646)) % 173.03/173.43 (step @p645 :rule trans :premises (@p644 @p638)) % 173.03/173.43 (step @p646 :rule refl :args (@t527)) % 173.03/173.43 (step @p647 :rule ho_cong :premises (@p646 @p642)) % 173.03/173.43 (step @p648 :rule cong :premises (@p647 @p645) :args ((= (_ @t527 @t627) @t646))) % 173.03/173.43 (step @p649 :rule symm :premises (@p648)) % 173.03/173.43 (step @p650 :rule refl :args (@t528)) % 173.03/173.43 (step @p651 :rule eq_resolve :premises (@p650 @p649)) % 173.03/173.43 (step @p652 :rule ho_cong :premises (@p383 @p640)) % 173.03/173.43 (step @p653 :rule ho_cong :premises (@p652 @p370)) % 173.03/173.43 (step @p654 :rule cong :premises (@p653 @p642) :args ((= (_ (_ tptp.inner_1173012732nner_a @t626) @t576) @t627))) % 173.03/173.43 (step @p655 :rule symm :premises (@p654)) % 173.03/173.43 (step @p656 :rule refl :args (@t525)) % 173.03/173.43 (step @p657 :rule eq_resolve :premises (@p656 @p655)) % 173.03/173.43 (step @p658 :rule refl :args (@t523)) % 173.03/173.43 (step @p659 :rule cong :premises (@p658 @p640) :args ((= @t523 @t626))) % 173.03/173.43 (step @p660 :rule symm :premises (@p659)) % 173.03/173.43 (step @p661 :rule eq_resolve :premises (@p658 @p660)) % 173.03/173.43 (step @p662 :rule ho_cong :premises (@p383 @p661)) % 173.03/173.43 (step @p663 :rule ho_cong :premises (@p662 @p401)) % 173.03/173.43 (step @p664 :rule trans :premises (@p663 @p657)) % 173.03/173.43 (step @p665 :rule ho_cong :premises (@p646 @p664)) % 173.03/173.43 (step @p666 :rule trans :premises (@p665 @p651)) % 173.03/173.43 (step @p667 :rule refl :args ((tptp.member_a @t230 @t529))) % 173.03/173.43 (step @p668 :rule refl :args (@t628)) % 173.03/173.43 (step @p669 :rule refl :args (@t230)) % 173.03/173.43 (step @p670 :rule cong :premises (@p669 @p668) :args (@t629)) % 173.03/173.43 (step @p671 :rule trans :premises (@p670 @p667)) % 173.03/173.43 (step @p672 :rule refl :args (@t231)) % 173.03/173.43 (step @p673 :rule ho_cong :premises (@p672 @p668)) % 173.03/173.43 (step @p674 :rule cong :premises (@p673 @p671) :args ((= (_ @t231 @t628) @t629))) % 173.03/173.43 (step @p675 :rule symm :premises (@p674)) % 173.03/173.43 (step @p676 :rule refl :args (@t530)) % 173.03/173.43 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 173.03/173.43 (step @p678 :rule refl :args (@t529)) % 173.03/173.43 (step @p679 :rule cong :premises (@p678 @p668) :args ((= @t529 @t628))) % 173.03/173.43 (step @p680 :rule symm :premises (@p679)) % 173.03/173.43 (step @p681 :rule eq_resolve :premises (@p678 @p680)) % 173.03/173.43 (step @p682 :rule ho_cong :premises (@p672 @p681)) % 173.03/173.43 (step @p683 :rule trans :premises (@p682 @p677)) % 173.03/173.43 (step @p684 :rule cong :premises (@p683) :args (@t674)) % 173.03/173.43 (step @p685 :rule nary_cong :premises (@p684 @p666) :args (@t675)) % 173.03/173.44 (step @p686 :rule cong :premises (@p685) :args ((forall @t412 @t675))) % 173.03/173.44 (step @p687 :rule bool-impl-elim :args (@t530 @t528)) % 173.03/173.44 (step @p688 :rule cong :premises (@p687) :args (@t531)) % 173.03/173.44 (step @p689 :rule trans :premises (@p688 @p686)) % 173.03/173.44 (step @p690 :rule beta-reduce :args ((= (_ @t558 @t526) @t670))) % 173.03/173.44 (step @p691 :rule refl :args (@t526)) % 173.03/173.44 (step @p692 :rule ho_cong :premises (@p352 @p691)) % 173.03/173.44 (step @p693 :rule trans :premises (@p692 @p690)) % 173.03/173.44 (step @p694 :rule nary_cong :premises (@p693 @p689) :args (@t676)) % 173.03/173.44 (step @p695 :rule trans :premises (@p694 @p637)) % 173.03/173.44 (step @p696 :rule cong :premises (@p695) :args (@t677)) % 173.03/173.44 (step @p697 :rule trans :premises (@p696 @p636)) % 173.03/173.44 (step @p698 :rule beta-reduce :args ((= (_ @t558 @t255) @t659))) % 173.03/173.44 (step @p699 :rule refl :args (@t255)) % 173.03/173.44 (step @p700 :rule ho_cong :premises (@p352 @p699)) % 173.03/173.44 (step @p701 :rule trans :premises (@p700 @p698)) % 173.03/173.44 (step @p702 :rule nary_cong :premises (@p701 @p697) :args (@t678)) % 173.03/173.44 (step @p703 :rule trans :premises (@p702 @p607)) % 173.03/173.44 (step @p704 :rule cong :premises (@p703) :args (@t679)) % 173.03/173.44 (step @p705 :rule trans :premises (@p704 @p606)) % 173.03/173.44 (step @p706 :rule cong :premises (@p705) :args ((not @t679))) % 173.03/173.44 (step @p707 :rule trans :premises (@p706 @p561)) % 173.03/173.44 (step @p708 :rule refl :args (@t531)) % 173.03/173.44 (step @p709 :rule ho_cong :premises (@p356 @p691)) % 173.03/173.44 (step @p710 :rule nary_cong :premises (@p709 @p708) :args (@t532)) % 173.03/173.44 (step @p711 :rule cong :premises (@p710) :args (@t534)) % 173.03/173.44 (step @p712 :rule ho_cong :premises (@p356 @p699)) % 173.03/173.44 (step @p713 :rule nary_cong :premises (@p712 @p711) :args (@t535)) % 173.03/173.44 (step @p714 :rule cong :premises (@p713) :args (@t536)) % 173.03/173.44 (step @p715 :rule cong :premises (@p714) :args (@t537)) % 173.03/173.44 (step @p716 :rule trans :premises (@p715 @p707)) % 173.03/173.44 (step @p717 :rule trans :premises (@p716 @p560)) % 173.03/173.44 (step @p718 :rule eq_resolve :premises (@p341 @p717)) % 173.03/173.44 (step @p719 :rule instantiate :premises (@p718) :args ((@list tptp.d @t598))) % 173.03/173.44 (step @p720 :rule cnf_or_pos :args (@t683)) % 173.03/173.44 (step @p721 :rule reordering :premises (@p720) :args ((or @t554 @t682 @t680 @t600 @t681 (not @t683)))) % 173.03/173.44 (step @p722 false :rule chain_m_resolution :premises (@p721 @p719 @p559 @p489 @p486 @p362 @p361) :args (false (@list false false true false true false) (@list @t683 @t620 @t600 @t602 @t554 @t556))) % 173.03/173.44 ) % 173.03/173.44 % SZS output end Proof % 173.03/173.44 % cvc5 exiting %------------------------------------------------------------------------------