%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP193^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:20 AM UTC 2026 % Result : Theorem 1.13s 1.39s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP193^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:18:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.43/0.61 %----Proving TH0 % 1.13/1.39 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.13/1.39 % SZS status Theorem % 1.13/1.39 % SZS output start Proof % 1.13/1.39 ( % 1.13/1.39 (declare-sort tptp.real 0) % 1.13/1.39 (declare-sort tptp.poly_real 0) % 1.13/1.39 (declare-sort tptp.int 0) % 1.13/1.39 (declare-sort tptp.nat 0) % 1.13/1.39 (declare-sort tptp.poly_poly_real 0) % 1.13/1.39 (declare-sort tptp.poly_int 0) % 1.13/1.39 (declare-sort tptp.set_int 0) % 1.13/1.39 (declare-sort tptp.set_set_int 0) % 1.13/1.39 (declare-sort tptp.set_set_real 0) % 1.13/1.39 (declare-sort tptp.set_real 0) % 1.13/1.39 (declare-sort tptp.poly_poly_poly_real 0) % 1.13/1.39 (declare-sort tptp.poly_poly_int 0) % 1.13/1.39 (declare-sort tptp.set_poly_poly_real 0) % 1.13/1.39 (declare-sort tptp.set_poly_int 0) % 1.13/1.39 (declare-sort tptp.set_poly_real 0) % 1.13/1.39 (declare-const tptp.ord_less_real (-> tptp.real tptp.real Bool)) % 1.13/1.39 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 1.13/1.39 (declare-const tptp.zero_zero_poly_real tptp.poly_real) % 1.13/1.39 (declare-const tptp.zero_zero_poly_int tptp.poly_int) % 1.13/1.39 (declare-const tptp.zero_z1423781445y_real tptp.poly_poly_real) % 1.13/1.39 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 1.13/1.39 (declare-const tptp.zero_zero_real tptp.real) % 1.13/1.39 (declare-const tptp.poly_real2 (-> tptp.poly_real tptp.real tptp.real)) % 1.13/1.39 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 1.13/1.39 (declare-const tptp.sturm_276991412p_poly (-> tptp.poly_real tptp.poly_real tptp.real tptp.int)) % 1.13/1.39 (declare-const tptp.groups2051521940al_int (-> (-> tptp.real tptp.int) tptp.set_real tptp.int)) % 1.13/1.39 (declare-const tptp.one_one_int tptp.int) % 1.13/1.39 (declare-const tptp.poly_c1404107022y_real (-> tptp.nat tptp.poly_poly_real tptp.poly_poly_real)) % 1.13/1.39 (declare-const tptp.poly_cutoff_int (-> tptp.nat tptp.poly_int tptp.poly_int)) % 1.13/1.39 (declare-const tptp.poly_cutoff_real (-> tptp.nat tptp.poly_real tptp.poly_real)) % 1.13/1.39 (declare-const tptp.finite26677625et_int (-> tptp.set_set_int Bool)) % 1.13/1.39 (declare-const tptp.collect_set_int (-> (-> tptp.set_int Bool) tptp.set_set_int)) % 1.13/1.39 (declare-const tptp.ord_less_eq_set_int (-> tptp.set_int tptp.set_int Bool)) % 1.13/1.39 (declare-const tptp.finite475462905t_real (-> tptp.set_set_real Bool)) % 1.13/1.39 (declare-const tptp.member_int (-> tptp.int tptp.set_int Bool)) % 1.13/1.39 (declare-const tptp.ord_less_set_int (-> tptp.set_int tptp.set_int Bool)) % 1.13/1.39 (declare-const tptp.zero_zero_int tptp.int) % 1.13/1.39 (declare-const tptp.one_one_poly_real tptp.poly_real) % 1.13/1.39 (declare-const tptp.collect_int (-> (-> tptp.int Bool) tptp.set_int)) % 1.13/1.39 (declare-const tptp.ord_le893774876y_real (-> tptp.poly_poly_real tptp.poly_poly_real Bool)) % 1.13/1.39 (declare-const tptp.poly_poly_real2 (-> tptp.poly_poly_real tptp.poly_real tptp.poly_real)) % 1.13/1.39 (declare-const tptp.finite1328464339y_real (-> tptp.set_poly_poly_real Bool)) % 1.13/1.39 (declare-const tptp.poly_int2 (-> tptp.poly_int tptp.int tptp.int)) % 1.13/1.39 (declare-const tptp.zero_z1549157189ly_int tptp.poly_poly_int) % 1.13/1.39 (declare-const tptp.collect_poly_int (-> (-> tptp.poly_int Bool) tptp.set_poly_int)) % 1.13/1.39 (declare-const tptp.a tptp.real) % 1.13/1.39 (declare-const tptp.b tptp.real) % 1.13/1.39 (declare-const tptp.poly_poly_int2 (-> tptp.poly_poly_int tptp.poly_int tptp.poly_int)) % 1.13/1.39 (declare-const tptp.finite_finite_int (-> tptp.set_int Bool)) % 1.13/1.39 (declare-const tptp.ord_less_set_real (-> tptp.set_real tptp.set_real Bool)) % 1.13/1.39 (declare-const tptp.a2 tptp.real) % 1.13/1.39 (declare-const tptp.poly_poly_poly_real2 (-> tptp.poly_poly_poly_real tptp.poly_poly_real tptp.poly_poly_real)) % 1.13/1.39 (declare-const tptp.finite385822667ly_int (-> tptp.set_poly_int Bool)) % 1.13/1.39 (declare-const tptp.b2 tptp.real) % 1.13/1.39 (declare-const tptp.finite_finite_real (-> tptp.set_real Bool)) % 1.13/1.39 (declare-const tptp.ord_less_eq_real_o (-> (-> tptp.real Bool) (-> tptp.real Bool) Bool)) % 1.13/1.39 (declare-const tptp.p tptp.poly_real) % 1.13/1.39 (declare-const tptp.zero_z935034829y_real tptp.poly_poly_poly_real) % 1.13/1.39 (declare-const tptp.collec927113489y_real (-> (-> tptp.poly_poly_real Bool) tptp.set_poly_poly_real)) % 1.13/1.39 (declare-const tptp.collect_poly_real (-> (-> tptp.poly_real Bool) tptp.set_poly_real)) % 1.13/1.39 (declare-const tptp.finite1810960971y_real (-> tptp.set_poly_real Bool)) % 1.13/1.39 (declare-const tptp.ord_less_poly_real (-> tptp.poly_real tptp.poly_real Bool)) % 1.13/1.39 (declare-const tptp.ord_less_poly_int (-> tptp.poly_int tptp.poly_int Bool)) % 1.13/1.39 (declare-const tptp.sturm_1953858694_cross (-> tptp.poly_real tptp.real tptp.real tptp.int)) % 1.13/1.39 (declare-const tptp.ord_le38482960y_real (-> tptp.poly_poly_real tptp.poly_poly_real Bool)) % 1.13/1.39 (declare-const tptp.collect_set_real (-> (-> tptp.set_real Bool) tptp.set_set_real)) % 1.13/1.39 (declare-const tptp.ord_le1180086932y_real (-> tptp.poly_real tptp.poly_real Bool)) % 1.13/1.39 (declare-const tptp.ord_less_eq_poly_int (-> tptp.poly_int tptp.poly_int Bool)) % 1.13/1.39 (define tptp.ord_less_eq_real () (let ((_let_1 (@var "Y" tptp.real))) (let ((_let_2 (@var "X" tptp.real))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_real _let_2) _let_1) (= _let_2 _let_1)))))) % 1.13/1.39 (define tptp.ord_less_int () (let ((_let_1 (@var "B4" tptp.int))) (let ((_let_2 (@var "A4" tptp.int))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_int _let_1) _let_2) (not (= _let_2 _let_1))))))) % 1.13/1.39 (define tptp.is_zero_real () (let ((_let_1 (@var "P3" tptp.poly_real))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_poly_real)))) % 1.13/1.39 (define tptp.is_zero_int () (let ((_let_1 (@var "P3" tptp.poly_int))) (lambda (@list _let_1) (= _let_1 tptp.zero_zero_poly_int)))) % 1.13/1.39 (define tptp.is_zero_poly_real () (let ((_let_1 (@var "P3" tptp.poly_poly_real))) (lambda (@list _let_1) (= _let_1 tptp.zero_z1423781445y_real)))) % 1.13/1.39 (define tptp.ord_less_eq_set_real () (let ((_let_1 (@var "B5" tptp.set_real))) (let ((_let_2 (@var "X" tptp.real))) (let ((_let_3 (_ tptp.member_real _let_2))) (let ((_let_4 (@var "A7" tptp.set_real))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 1.13/1.39 (define tptp.sturm_308542325x_poly () (let ((_let_1 (@var "B4" tptp.real))) (let ((_let_2 (@var "X" tptp.real))) (let ((_let_3 (@var "A4" tptp.real))) (let ((_let_4 (@var "P3" tptp.poly_real))) (let ((_let_5 (@var "Q4" tptp.poly_real))) (lambda (@list _let_3 _let_1 _let_5 _let_4) (_ (_ tptp.groups2051521940al_int (_ (_ tptp.sturm_276991412p_poly _let_5) _let_4)) (_ tptp.collect_real (lambda (@list _let_2) (and (= (_ (_ tptp.poly_real2 _let_4) _let_2) tptp.zero_zero_real) (_ (_ tptp.ord_less_real _let_3) _let_2) (_ (_ tptp.ord_less_real _let_2) _let_1)))))))))))) % 1.13/1.39 (define @t1 () (@var "X" tptp.real)) % 1.13/1.39 (define @t2 () (_ tptp.poly_real2 tptp.p)) % 1.13/1.39 (define @t3 () (_ @t2 @t1)) % 1.13/1.39 (define @t4 () (= @t3 tptp.zero_zero_real)) % 1.13/1.39 (define @t5 () (@list @t1)) % 1.13/1.39 (define @t6 () (lambda @t5 @t4)) % 1.13/1.39 (define @t7 () (_ tptp.ord_less_real tptp.a)) % 1.13/1.39 (define @t8 () (@var "X2" tptp.poly_int)) % 1.13/1.39 (define @t9 () (@list @t8)) % 1.13/1.39 (define @t10 () (@var "X2" tptp.poly_poly_real)) % 1.13/1.39 (define @t11 () (@list @t10)) % 1.13/1.39 (define @t12 () (@var "X2" tptp.poly_real)) % 1.13/1.39 (define @t13 () (@list @t12)) % 1.13/1.39 (define @t14 () (@var "X2" tptp.int)) % 1.13/1.39 (define @t15 () (@list @t14)) % 1.13/1.39 (define @t16 () (@var "X2" tptp.real)) % 1.13/1.39 (define @t17 () (@list @t16)) % 1.13/1.39 (define @t18 () (@var "X3" tptp.real)) % 1.13/1.39 (define @t19 () (_ tptp.ord_less_real @t18)) % 1.13/1.39 (define @t20 () (_ tptp.ord_less_eq_real @t18)) % 1.13/1.39 (define @t21 () (@list @t18)) % 1.13/1.39 (define @t22 () (@var "Q" (-> tptp.real Bool))) % 1.13/1.39 (define @t23 () (_ @t22 @t1)) % 1.13/1.39 (define @t24 () (@var "P" (-> tptp.real Bool))) % 1.13/1.39 (define @t25 () (_ @t24 @t1)) % 1.13/1.39 (define @t26 () (_ tptp.collect_real @t22)) % 1.13/1.39 (define @t27 () (_ tptp.finite_finite_real @t26)) % 1.13/1.39 (define @t28 () (_ tptp.collect_real @t24)) % 1.13/1.39 (define @t29 () (_ tptp.finite_finite_real @t28)) % 1.13/1.39 (define @t30 () (@list @t24 @t22)) % 1.13/1.39 (define @t31 () (@var "X" tptp.int)) % 1.13/1.39 (define @t32 () (@var "Q" (-> tptp.int Bool))) % 1.13/1.39 (define @t33 () (_ @t32 @t31)) % 1.13/1.39 (define @t34 () (@var "P" (-> tptp.int Bool))) % 1.13/1.39 (define @t35 () (_ @t34 @t31)) % 1.13/1.39 (define @t36 () (@list @t31)) % 1.13/1.39 (define @t37 () (_ tptp.collect_int @t32)) % 1.13/1.39 (define @t38 () (_ tptp.finite_finite_int @t37)) % 1.13/1.39 (define @t39 () (_ tptp.collect_int @t34)) % 1.13/1.39 (define @t40 () (_ tptp.finite_finite_int @t39)) % 1.13/1.39 (define @t41 () (@list @t34 @t32)) % 1.13/1.39 (define @t42 () (and @t29 @t27)) % 1.13/1.39 (define @t43 () (or @t25 @t23)) % 1.13/1.39 (define @t44 () (lambda @t5 @t43)) % 1.13/1.39 (define @t45 () (_ tptp.collect_real @t44)) % 1.13/1.39 (define @t46 () (_ tptp.finite_finite_real @t45)) % 1.13/1.39 (define @t47 () (= @t46 @t42)) % 1.13/1.39 (define @t48 () (forall @t30 @t47)) % 1.13/1.39 (define @t49 () (@var "X" tptp.poly_int)) % 1.13/1.39 (define @t50 () (@var "P2" tptp.poly_poly_int)) % 1.13/1.39 (define @t51 () (= (_ (_ tptp.poly_poly_int2 @t50) @t49) tptp.zero_zero_poly_int)) % 1.13/1.39 (define @t52 () (@list @t49)) % 1.13/1.39 (define @t53 () (= @t50 tptp.zero_z1549157189ly_int)) % 1.13/1.39 (define @t54 () (@list @t50)) % 1.13/1.39 (define @t55 () (@var "X" tptp.poly_poly_real)) % 1.13/1.39 (define @t56 () (@var "P2" tptp.poly_poly_poly_real)) % 1.13/1.39 (define @t57 () (= (_ (_ tptp.poly_poly_poly_real2 @t56) @t55) tptp.zero_z1423781445y_real)) % 1.13/1.39 (define @t58 () (@list @t55)) % 1.13/1.39 (define @t59 () (= @t56 tptp.zero_z935034829y_real)) % 1.13/1.39 (define @t60 () (@list @t56)) % 1.13/1.39 (define @t61 () (@var "P2" tptp.poly_real)) % 1.13/1.39 (define @t62 () (_ tptp.poly_real2 @t61)) % 1.13/1.39 (define @t63 () (= (_ @t62 @t1) tptp.zero_zero_real)) % 1.13/1.39 (define @t64 () (= @t61 tptp.zero_zero_poly_real)) % 1.13/1.39 (define @t65 () (not @t64)) % 1.13/1.39 (define @t66 () (@list @t61)) % 1.13/1.39 (define @t67 () (@var "P2" tptp.poly_int)) % 1.13/1.39 (define @t68 () (_ tptp.poly_int2 @t67)) % 1.13/1.39 (define @t69 () (= (_ @t68 @t31) tptp.zero_zero_int)) % 1.13/1.39 (define @t70 () (= @t67 tptp.zero_zero_poly_int)) % 1.13/1.39 (define @t71 () (@list @t67)) % 1.13/1.39 (define @t72 () (@var "X" tptp.poly_real)) % 1.13/1.39 (define @t73 () (@var "P2" tptp.poly_poly_real)) % 1.13/1.39 (define @t74 () (_ tptp.poly_poly_real2 @t73)) % 1.13/1.39 (define @t75 () (= (_ @t74 @t72) tptp.zero_zero_poly_real)) % 1.13/1.39 (define @t76 () (@list @t72)) % 1.13/1.39 (define @t77 () (= @t73 tptp.zero_z1423781445y_real)) % 1.13/1.39 (define @t78 () (@list @t73)) % 1.13/1.39 (define @t79 () (@var "X4" tptp.real)) % 1.13/1.39 (define @t80 () (= (_ @t62 @t79) tptp.zero_zero_real)) % 1.13/1.39 (define @t81 () (@var "B" tptp.real)) % 1.13/1.39 (define @t82 () (_ tptp.ord_less_real @t79)) % 1.13/1.39 (define @t83 () (_ @t82 @t81)) % 1.13/1.39 (define @t84 () (@var "A" tptp.real)) % 1.13/1.39 (define @t85 () (_ tptp.ord_less_real @t84)) % 1.13/1.39 (define @t86 () (_ @t85 @t79)) % 1.13/1.39 (define @t87 () (@list @t79)) % 1.13/1.39 (define @t88 () (exists @t87 (and @t86 @t83 @t80))) % 1.13/1.39 (define @t89 () (_ @t62 @t81)) % 1.13/1.39 (define @t90 () (_ @t62 @t84)) % 1.13/1.39 (define @t91 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 1.13/1.39 (define @t92 () (_ @t85 @t81)) % 1.13/1.39 (define @t93 () (@list @t84 @t81 @t61)) % 1.13/1.39 (define @t94 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 1.13/1.39 (define @t95 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 1.13/1.39 (define @t96 () (@var "A2" tptp.set_real)) % 1.13/1.39 (define @t97 () (@var "P" (-> tptp.set_real Bool))) % 1.13/1.39 (define @t98 () (@var "A3" tptp.set_real)) % 1.13/1.39 (define @t99 () (@var "B2" tptp.set_real)) % 1.13/1.39 (define @t100 () (_ tptp.finite_finite_real @t96)) % 1.13/1.39 (define @t101 () (@var "A2" tptp.set_int)) % 1.13/1.39 (define @t102 () (@var "P" (-> tptp.set_int Bool))) % 1.13/1.39 (define @t103 () (@var "A3" tptp.set_int)) % 1.13/1.39 (define @t104 () (@var "B2" tptp.set_int)) % 1.13/1.39 (define @t105 () (_ tptp.finite_finite_int @t101)) % 1.13/1.39 (define @t106 () (@var "Xa" tptp.real)) % 1.13/1.39 (define @t107 () (= @t79 @t106)) % 1.13/1.39 (define @t108 () (_ tptp.member_real @t106)) % 1.13/1.39 (define @t109 () (_ @t108 @t96)) % 1.13/1.39 (define @t110 () (@list @t106)) % 1.13/1.39 (define @t111 () (_ tptp.ord_less_eq_real @t79)) % 1.13/1.39 (define @t112 () (_ tptp.member_real @t79)) % 1.13/1.39 (define @t113 () (_ @t112 @t96)) % 1.13/1.39 (define @t114 () (_ tptp.member_real @t84)) % 1.13/1.39 (define @t115 () (_ @t114 @t96)) % 1.13/1.39 (define @t116 () (@list @t96 @t84)) % 1.13/1.39 (define @t117 () (@var "Xa" tptp.int)) % 1.13/1.39 (define @t118 () (@var "X4" tptp.int)) % 1.13/1.39 (define @t119 () (= @t118 @t117)) % 1.13/1.39 (define @t120 () (_ tptp.member_int @t117)) % 1.13/1.39 (define @t121 () (_ @t120 @t101)) % 1.13/1.39 (define @t122 () (@list @t117)) % 1.13/1.39 (define @t123 () (@var "A" tptp.int)) % 1.13/1.39 (define @t124 () (_ tptp.ord_less_eq_int @t118)) % 1.13/1.39 (define @t125 () (_ tptp.member_int @t118)) % 1.13/1.39 (define @t126 () (_ @t125 @t101)) % 1.13/1.39 (define @t127 () (@list @t118)) % 1.13/1.39 (define @t128 () (_ tptp.member_int @t123)) % 1.13/1.39 (define @t129 () (_ @t128 @t101)) % 1.13/1.39 (define @t130 () (@list @t101 @t123)) % 1.13/1.39 (define @t131 () (_ tptp.ord_less_eq_real @t84)) % 1.13/1.39 (define @t132 () (_ @t131 @t79)) % 1.13/1.39 (define @t133 () (_ tptp.ord_less_eq_int @t123)) % 1.13/1.39 (define @t134 () (_ @t133 @t118)) % 1.13/1.39 (define @t135 () (@var "Z" tptp.real)) % 1.13/1.39 (define @t136 () (not (= (_ @t62 @t135) tptp.zero_zero_real))) % 1.13/1.39 (define @t137 () (@var "Ub" tptp.real)) % 1.13/1.39 (define @t138 () (@var "Lb" tptp.real)) % 1.13/1.39 (define @t139 () (_ tptp.ord_less_real @t138)) % 1.13/1.39 (define @t140 () (@list @t135)) % 1.13/1.39 (define @t141 () (@var "Ub2" tptp.real)) % 1.13/1.39 (define @t142 () (_ tptp.ord_less_real @t135)) % 1.13/1.39 (define @t143 () (@var "Lb2" tptp.real)) % 1.13/1.39 (define @t144 () (@var "Z2" tptp.real)) % 1.13/1.39 (define @t145 () (_ @t62 @t144)) % 1.13/1.39 (define @t146 () (_ (_ tptp.ord_less_real @t145) tptp.zero_zero_real)) % 1.13/1.39 (define @t147 () (and (_ (_ tptp.ord_less_eq_real @t138) @t144) (_ (_ tptp.ord_less_real @t144) @t141))) % 1.13/1.39 (define @t148 () (@list @t144)) % 1.13/1.39 (define @t149 () (_ @t91 @t145)) % 1.13/1.39 (define @t150 () (not (= @t145 tptp.zero_zero_real))) % 1.13/1.39 (define @t151 () (@list @t138 @t141 @t61)) % 1.13/1.39 (define @t152 () (and (_ @t139 @t144) (_ (_ tptp.ord_less_eq_real @t144) @t141))) % 1.13/1.39 (define @t153 () (@var "Q2" tptp.poly_real)) % 1.13/1.39 (define @t154 () (@var "Q2" tptp.poly_int)) % 1.13/1.39 (define @t155 () (@var "Q2" tptp.poly_poly_real)) % 1.13/1.39 (define @t156 () (@var "A4" tptp.real)) % 1.13/1.39 (define @t157 () (@var "R" (-> tptp.real tptp.real Bool))) % 1.13/1.39 (define @t158 () (_ (_ tptp.member_real @t156) @t96)) % 1.13/1.39 (define @t159 () (@list @t156)) % 1.13/1.39 (define @t160 () (@var "B3" tptp.set_real)) % 1.13/1.39 (define @t161 () (_ @t112 @t160)) % 1.13/1.39 (define @t162 () (_ @t108 @t160)) % 1.13/1.39 (define @t163 () (_ tptp.finite_finite_real @t160)) % 1.13/1.39 (define @t164 () (not @t100)) % 1.13/1.39 (define @t165 () (@var "R" (-> tptp.real tptp.int Bool))) % 1.13/1.39 (define @t166 () (@var "B3" tptp.set_int)) % 1.13/1.39 (define @t167 () (_ @t125 @t166)) % 1.13/1.39 (define @t168 () (_ @t120 @t166)) % 1.13/1.39 (define @t169 () (_ tptp.finite_finite_int @t166)) % 1.13/1.39 (define @t170 () (@var "A4" tptp.int)) % 1.13/1.39 (define @t171 () (@var "R" (-> tptp.int tptp.real Bool))) % 1.13/1.39 (define @t172 () (_ (_ tptp.member_int @t170) @t101)) % 1.13/1.39 (define @t173 () (@list @t170)) % 1.13/1.39 (define @t174 () (not @t105)) % 1.13/1.39 (define @t175 () (@var "R" (-> tptp.int tptp.int Bool))) % 1.13/1.39 (define @t176 () (@var "X_1" tptp.real)) % 1.13/1.39 (define @t177 () (@list @t176)) % 1.13/1.39 (define @t178 () (@var "X_1" tptp.int)) % 1.13/1.39 (define @t179 () (@list @t178)) % 1.13/1.39 (define @t180 () (_ tptp.ord_less_eq_real @t16)) % 1.13/1.39 (define @t181 () (_ tptp.ord_less_eq_int @t14)) % 1.13/1.39 (define @t182 () (_ (_ (_ tptp.sturm_1953858694_cross @t61) @t84) @t81)) % 1.13/1.39 (define @t183 () (@var "C" tptp.real)) % 1.13/1.39 (define @t184 () (@var "D" tptp.real)) % 1.13/1.39 (define @t185 () (_ @t24 @t79)) % 1.13/1.39 (define @t186 () (_ @t24 @t18)) % 1.13/1.39 (define @t187 () (_ @t24 @t84)) % 1.13/1.39 (define @t188 () (@var "C" tptp.int)) % 1.13/1.39 (define @t189 () (@var "D" tptp.int)) % 1.13/1.39 (define @t190 () (_ @t34 @t118)) % 1.13/1.39 (define @t191 () (_ tptp.ord_less_int @t118)) % 1.13/1.39 (define @t192 () (@var "X3" tptp.int)) % 1.13/1.39 (define @t193 () (_ @t34 @t192)) % 1.13/1.39 (define @t194 () (_ tptp.ord_less_int @t192)) % 1.13/1.39 (define @t195 () (@list @t192)) % 1.13/1.39 (define @t196 () (@var "B" tptp.int)) % 1.13/1.39 (define @t197 () (_ @t34 @t123)) % 1.13/1.39 (define @t198 () (_ tptp.ord_less_int @t123)) % 1.13/1.39 (define @t199 () (_ @t198 @t196)) % 1.13/1.39 (define @t200 () (_ @t131 @t81)) % 1.13/1.39 (define @t201 () (= @t84 @t81)) % 1.13/1.39 (define @t202 () (not @t201)) % 1.13/1.39 (define @t203 () (@list @t84 @t81)) % 1.13/1.39 (define @t204 () (_ @t133 @t196)) % 1.13/1.39 (define @t205 () (= @t123 @t196)) % 1.13/1.39 (define @t206 () (not @t205)) % 1.13/1.39 (define @t207 () (@list @t123 @t196)) % 1.13/1.39 (define @t208 () (_ tptp.ord_less_eq_real @t81)) % 1.13/1.39 (define @t209 () (_ @t208 @t84)) % 1.13/1.39 (define @t210 () (_ tptp.ord_less_real @t81)) % 1.13/1.39 (define @t211 () (_ @t210 @t84)) % 1.13/1.39 (define @t212 () (@list @t81 @t84)) % 1.13/1.39 (define @t213 () (_ tptp.ord_less_eq_int @t196)) % 1.13/1.39 (define @t214 () (_ @t213 @t123)) % 1.13/1.39 (define @t215 () (_ tptp.ord_less_int @t196)) % 1.13/1.39 (define @t216 () (_ @t215 @t123)) % 1.13/1.39 (define @t217 () (@list @t196 @t123)) % 1.13/1.39 (define @t218 () (@var "B4" tptp.real)) % 1.13/1.39 (define @t219 () (= @t156 @t218)) % 1.13/1.39 (define @t220 () (not @t219)) % 1.13/1.39 (define @t221 () (_ (_ tptp.ord_less_eq_real @t218) @t156)) % 1.13/1.39 (define @t222 () (@list @t218 @t156)) % 1.13/1.39 (define @t223 () (@var "B4" tptp.int)) % 1.13/1.39 (define @t224 () (= @t170 @t223)) % 1.13/1.39 (define @t225 () (@list @t223 @t170)) % 1.13/1.39 (define @t226 () (_ tptp.member_real @t1)) % 1.13/1.39 (define @t227 () (_ @t226 @t96)) % 1.13/1.39 (define @t228 () (@list @t96)) % 1.13/1.39 (define @t229 () (_ (_ tptp.member_int @t31) @t101)) % 1.13/1.39 (define @t230 () (@list @t101)) % 1.13/1.39 (define @t231 () (_ @t22 @t79)) % 1.13/1.39 (define @t232 () (_ @t32 @t118)) % 1.13/1.39 (define @t233 () (@var "Z3" tptp.real)) % 1.13/1.39 (define @t234 () (@var "Y2" tptp.real)) % 1.13/1.39 (define @t235 () (_ tptp.ord_less_eq_real @t234)) % 1.13/1.39 (define @t236 () (_ @t235 @t233)) % 1.13/1.39 (define @t237 () (@var "W" tptp.real)) % 1.13/1.39 (define @t238 () (_ tptp.ord_less_real @t237)) % 1.13/1.39 (define @t239 () (_ tptp.ord_less_real @t16)) % 1.13/1.39 (define @t240 () (@list @t237)) % 1.13/1.39 (define @t241 () (_ @t239 @t234)) % 1.13/1.39 (define @t242 () (@list @t16 @t234 @t233)) % 1.13/1.39 (define @t243 () (@var "B5" tptp.set_real)) % 1.13/1.39 (define @t244 () (@var "B5" tptp.set_int)) % 1.13/1.39 (define @t245 () (_ (_ tptp.ord_less_eq_set_real @t96) @t160)) % 1.13/1.39 (define @t246 () (@list @t96 @t160)) % 1.13/1.39 (define @t247 () (_ (_ tptp.ord_less_eq_set_int @t101) @t166)) % 1.13/1.39 (define @t248 () (@var "T" tptp.set_real)) % 1.13/1.39 (define @t249 () (@var "S" tptp.set_real)) % 1.13/1.39 (define @t250 () (@var "T" tptp.set_int)) % 1.13/1.39 (define @t251 () (@var "S" tptp.set_int)) % 1.13/1.39 (define @t252 () (_ (_ tptp.ord_less_eq_real @t156) @t218)) % 1.13/1.39 (define @t253 () (@list @t156 @t218)) % 1.13/1.39 (define @t254 () (@var "Z4" tptp.real)) % 1.13/1.39 (define @t255 () (@var "Y3" tptp.real)) % 1.13/1.39 (define @t256 () (lambda (@list @t255 @t254) (= @t255 @t254))) % 1.13/1.39 (define @t257 () (_ (_ tptp.ord_less_eq_int @t170) @t223)) % 1.13/1.39 (define @t258 () (_ (_ tptp.ord_less_eq_int @t223) @t170)) % 1.13/1.39 (define @t259 () (@list @t170 @t223)) % 1.13/1.39 (define @t260 () (@var "Z4" tptp.int)) % 1.13/1.39 (define @t261 () (@var "Y3" tptp.int)) % 1.13/1.39 (define @t262 () (lambda (@list @t261 @t260) (= @t261 @t260))) % 1.13/1.39 (define @t263 () (@var "C2" tptp.real)) % 1.13/1.39 (define @t264 () (_ tptp.ord_less_eq_real @t263)) % 1.13/1.39 (define @t265 () (_ @t264 @t81)) % 1.13/1.39 (define @t266 () (@list @t81 @t84 @t263)) % 1.13/1.39 (define @t267 () (@var "C2" tptp.int)) % 1.13/1.39 (define @t268 () (_ tptp.ord_less_eq_int @t267)) % 1.13/1.39 (define @t269 () (_ @t268 @t196)) % 1.13/1.39 (define @t270 () (@list @t196 @t123 @t267)) % 1.13/1.39 (define @t271 () (@var "P" (-> tptp.real tptp.real Bool))) % 1.13/1.39 (define @t272 () (@var "B6" tptp.real)) % 1.13/1.39 (define @t273 () (@var "A5" tptp.real)) % 1.13/1.39 (define @t274 () (_ @t271 @t273)) % 1.13/1.39 (define @t275 () (_ @t274 @t272)) % 1.13/1.39 (define @t276 () (@list @t273 @t272)) % 1.13/1.39 (define @t277 () (=> (forall @t276 (=> (_ (_ @t271 @t272) @t273) @t275)) (_ (_ @t271 @t84) @t81))) % 1.13/1.39 (define @t278 () (@list @t271 @t84 @t81)) % 1.13/1.39 (define @t279 () (@var "P" (-> tptp.int tptp.int Bool))) % 1.13/1.39 (define @t280 () (@var "B6" tptp.int)) % 1.13/1.39 (define @t281 () (@var "A5" tptp.int)) % 1.13/1.39 (define @t282 () (_ @t279 @t281)) % 1.13/1.39 (define @t283 () (_ @t282 @t280)) % 1.13/1.39 (define @t284 () (@list @t281 @t280)) % 1.13/1.39 (define @t285 () (=> (forall @t284 (=> (_ (_ @t279 @t280) @t281) @t283)) (_ (_ @t279 @t123) @t196))) % 1.13/1.39 (define @t286 () (@list @t279 @t123 @t196)) % 1.13/1.39 (define @t287 () (@list @t84)) % 1.13/1.39 (define @t288 () (@list @t123)) % 1.13/1.39 (define @t289 () (_ @t180 @t233)) % 1.13/1.39 (define @t290 () (_ @t180 @t234)) % 1.13/1.39 (define @t291 () (@var "Z3" tptp.int)) % 1.13/1.39 (define @t292 () (_ @t181 @t291)) % 1.13/1.39 (define @t293 () (@var "Y2" tptp.int)) % 1.13/1.39 (define @t294 () (_ tptp.ord_less_eq_int @t293)) % 1.13/1.39 (define @t295 () (_ @t294 @t291)) % 1.13/1.39 (define @t296 () (_ @t181 @t293)) % 1.13/1.39 (define @t297 () (@list @t14 @t293 @t291)) % 1.13/1.39 (define @t298 () (_ @t131 @t263)) % 1.13/1.39 (define @t299 () (= @t81 @t263)) % 1.13/1.39 (define @t300 () (@list @t84 @t81 @t263)) % 1.13/1.39 (define @t301 () (_ @t133 @t267)) % 1.13/1.39 (define @t302 () (= @t196 @t267)) % 1.13/1.39 (define @t303 () (@list @t123 @t196 @t267)) % 1.13/1.39 (define @t304 () (_ @t208 @t263)) % 1.13/1.39 (define @t305 () (=> @t304 @t298)) % 1.13/1.39 (define @t306 () (_ @t213 @t267)) % 1.13/1.39 (define @t307 () (=> @t306 @t301)) % 1.13/1.39 (define @t308 () (= @t16 @t234)) % 1.13/1.39 (define @t309 () (= @t290 @t308)) % 1.13/1.39 (define @t310 () (_ @t235 @t16)) % 1.13/1.39 (define @t311 () (@list @t234 @t16)) % 1.13/1.39 (define @t312 () (= @t14 @t293)) % 1.13/1.39 (define @t313 () (= @t296 @t312)) % 1.13/1.39 (define @t314 () (_ @t294 @t14)) % 1.13/1.39 (define @t315 () (@list @t293 @t14)) % 1.13/1.39 (define @t316 () (not @t290)) % 1.13/1.39 (define @t317 () (_ tptp.ord_less_eq_real @t233)) % 1.13/1.39 (define @t318 () (_ @t317 @t16)) % 1.13/1.39 (define @t319 () (not @t310)) % 1.13/1.39 (define @t320 () (_ @t317 @t234)) % 1.13/1.39 (define @t321 () (not @t296)) % 1.13/1.39 (define @t322 () (_ tptp.ord_less_eq_int @t291)) % 1.13/1.39 (define @t323 () (_ @t322 @t14)) % 1.13/1.39 (define @t324 () (not @t314)) % 1.13/1.39 (define @t325 () (_ @t322 @t293)) % 1.13/1.39 (define @t326 () (@list @t16 @t234)) % 1.13/1.39 (define @t327 () (@list @t14 @t293)) % 1.13/1.39 (define @t328 () (@var "Y" tptp.real)) % 1.13/1.39 (define @t329 () (_ (_ tptp.ord_less_eq_real @t328) @t1)) % 1.13/1.39 (define @t330 () (_ (_ tptp.ord_less_eq_real @t1) @t328)) % 1.13/1.39 (define @t331 () (@list @t1 @t328)) % 1.13/1.39 (define @t332 () (@var "Y" tptp.int)) % 1.13/1.39 (define @t333 () (_ (_ tptp.ord_less_eq_int @t332) @t31)) % 1.13/1.39 (define @t334 () (_ (_ tptp.ord_less_eq_int @t31) @t332)) % 1.13/1.39 (define @t335 () (@list @t31 @t332)) % 1.13/1.39 (define @t336 () (@var "F" (-> tptp.real tptp.real))) % 1.13/1.39 (define @t337 () (_ @t336 @t84)) % 1.13/1.39 (define @t338 () (@var "Y4" tptp.real)) % 1.13/1.39 (define @t339 () (_ @t336 @t338)) % 1.13/1.39 (define @t340 () (_ @t336 @t79)) % 1.13/1.39 (define @t341 () (_ @t111 @t338)) % 1.13/1.39 (define @t342 () (@list @t79 @t338)) % 1.13/1.39 (define @t343 () (forall @t342 (=> @t341 (_ (_ tptp.ord_less_eq_real @t340) @t339)))) % 1.13/1.39 (define @t344 () (=> @t343 (_ (_ tptp.ord_less_eq_real @t337) @t263))) % 1.13/1.39 (define @t345 () (_ @t336 @t81)) % 1.13/1.39 (define @t346 () (= @t345 @t263)) % 1.13/1.39 (define @t347 () (@list @t84 @t81 @t336 @t263)) % 1.13/1.39 (define @t348 () (@var "F" (-> tptp.real tptp.int))) % 1.13/1.39 (define @t349 () (_ @t348 @t84)) % 1.13/1.39 (define @t350 () (_ @t348 @t338)) % 1.13/1.39 (define @t351 () (_ @t348 @t79)) % 1.13/1.39 (define @t352 () (forall @t342 (=> @t341 (_ (_ tptp.ord_less_eq_int @t351) @t350)))) % 1.13/1.39 (define @t353 () (=> @t352 (_ (_ tptp.ord_less_eq_int @t349) @t267))) % 1.13/1.39 (define @t354 () (_ @t348 @t81)) % 1.13/1.39 (define @t355 () (= @t354 @t267)) % 1.13/1.39 (define @t356 () (@list @t84 @t81 @t348 @t267)) % 1.13/1.39 (define @t357 () (@var "F" (-> tptp.int tptp.real))) % 1.13/1.39 (define @t358 () (_ @t357 @t123)) % 1.13/1.39 (define @t359 () (@var "Y4" tptp.int)) % 1.13/1.39 (define @t360 () (_ @t357 @t359)) % 1.13/1.39 (define @t361 () (_ @t357 @t118)) % 1.13/1.39 (define @t362 () (_ @t124 @t359)) % 1.13/1.39 (define @t363 () (@list @t118 @t359)) % 1.13/1.39 (define @t364 () (forall @t363 (=> @t362 (_ (_ tptp.ord_less_eq_real @t361) @t360)))) % 1.13/1.39 (define @t365 () (=> @t364 (_ (_ tptp.ord_less_eq_real @t358) @t263))) % 1.13/1.39 (define @t366 () (_ @t357 @t196)) % 1.13/1.39 (define @t367 () (= @t366 @t263)) % 1.13/1.39 (define @t368 () (@list @t123 @t196 @t357 @t263)) % 1.13/1.39 (define @t369 () (@var "F" (-> tptp.int tptp.int))) % 1.13/1.39 (define @t370 () (_ @t369 @t123)) % 1.13/1.39 (define @t371 () (_ @t369 @t359)) % 1.13/1.39 (define @t372 () (_ @t369 @t118)) % 1.13/1.39 (define @t373 () (forall @t363 (=> @t362 (_ (_ tptp.ord_less_eq_int @t372) @t371)))) % 1.13/1.39 (define @t374 () (=> @t373 (_ (_ tptp.ord_less_eq_int @t370) @t267))) % 1.13/1.39 (define @t375 () (_ @t369 @t196)) % 1.13/1.39 (define @t376 () (= @t375 @t267)) % 1.13/1.39 (define @t377 () (@list @t123 @t196 @t369 @t267)) % 1.13/1.39 (define @t378 () (_ @t336 @t263)) % 1.13/1.39 (define @t379 () (=> @t304 (=> @t343 (_ @t131 @t378)))) % 1.13/1.39 (define @t380 () (= @t84 @t345)) % 1.13/1.39 (define @t381 () (@list @t84 @t336 @t81 @t263)) % 1.13/1.39 (define @t382 () (_ @t348 @t263)) % 1.13/1.39 (define @t383 () (=> @t304 (=> @t352 (_ @t133 @t382)))) % 1.13/1.39 (define @t384 () (= @t123 @t354)) % 1.13/1.39 (define @t385 () (@list @t123 @t348 @t81 @t263)) % 1.13/1.39 (define @t386 () (_ @t357 @t267)) % 1.13/1.39 (define @t387 () (=> @t306 (=> @t364 (_ @t131 @t386)))) % 1.13/1.39 (define @t388 () (= @t84 @t366)) % 1.13/1.39 (define @t389 () (@list @t84 @t357 @t196 @t267)) % 1.13/1.39 (define @t390 () (_ @t369 @t267)) % 1.13/1.39 (define @t391 () (=> @t306 (=> @t373 (_ @t133 @t390)))) % 1.13/1.39 (define @t392 () (= @t123 @t375)) % 1.13/1.39 (define @t393 () (@list @t123 @t369 @t196 @t267)) % 1.13/1.39 (define @t394 () (_ (_ tptp.ord_less_eq_real @t345) @t263)) % 1.13/1.39 (define @t395 () (_ (_ tptp.ord_less_eq_int @t354) @t267)) % 1.13/1.39 (define @t396 () (_ (_ tptp.ord_less_eq_real @t366) @t263)) % 1.13/1.39 (define @t397 () (_ (_ tptp.ord_less_eq_int @t375) @t267)) % 1.13/1.39 (define @t398 () (_ @t131 @t345)) % 1.13/1.39 (define @t399 () (_ @t131 @t366)) % 1.13/1.39 (define @t400 () (_ @t133 @t354)) % 1.13/1.39 (define @t401 () (_ @t133 @t375)) % 1.13/1.39 (define @t402 () (_ @t85 @t378)) % 1.13/1.39 (define @t403 () (_ @t82 @t338)) % 1.13/1.39 (define @t404 () (forall @t342 (=> @t403 (_ (_ tptp.ord_less_real @t340) @t339)))) % 1.13/1.39 (define @t405 () (_ @t210 @t263)) % 1.13/1.39 (define @t406 () (=> @t405 (=> @t404 @t402))) % 1.13/1.39 (define @t407 () (_ @t198 @t382)) % 1.13/1.39 (define @t408 () (forall @t342 (=> @t403 (_ (_ tptp.ord_less_int @t351) @t350)))) % 1.13/1.39 (define @t409 () (=> @t405 (=> @t408 @t407))) % 1.13/1.39 (define @t410 () (_ @t85 @t386)) % 1.13/1.39 (define @t411 () (_ @t191 @t359)) % 1.13/1.39 (define @t412 () (forall @t363 (=> @t411 (_ (_ tptp.ord_less_real @t361) @t360)))) % 1.13/1.39 (define @t413 () (_ @t215 @t267)) % 1.13/1.39 (define @t414 () (=> @t413 (=> @t412 @t410))) % 1.13/1.39 (define @t415 () (_ @t198 @t390)) % 1.13/1.39 (define @t416 () (forall @t363 (=> @t411 (_ (_ tptp.ord_less_int @t372) @t371)))) % 1.13/1.39 (define @t417 () (=> @t413 (=> @t416 @t415))) % 1.13/1.39 (define @t418 () (_ (_ tptp.ord_less_real @t337) @t263)) % 1.13/1.39 (define @t419 () (=> @t404 @t418)) % 1.13/1.39 (define @t420 () (_ (_ tptp.ord_less_int @t349) @t267)) % 1.13/1.39 (define @t421 () (=> @t408 @t420)) % 1.13/1.39 (define @t422 () (_ (_ tptp.ord_less_real @t358) @t263)) % 1.13/1.39 (define @t423 () (=> @t412 @t422)) % 1.13/1.39 (define @t424 () (_ (_ tptp.ord_less_int @t370) @t267)) % 1.13/1.39 (define @t425 () (=> @t416 @t424)) % 1.13/1.39 (define @t426 () (_ @t85 @t345)) % 1.13/1.39 (define @t427 () (_ @t85 @t366)) % 1.13/1.39 (define @t428 () (_ @t198 @t354)) % 1.13/1.39 (define @t429 () (_ @t198 @t375)) % 1.13/1.39 (define @t430 () (_ (_ tptp.ord_less_real @t345) @t263)) % 1.13/1.39 (define @t431 () (_ (_ tptp.ord_less_int @t354) @t267)) % 1.13/1.39 (define @t432 () (_ (_ tptp.ord_less_real @t366) @t263)) % 1.13/1.39 (define @t433 () (_ (_ tptp.ord_less_int @t375) @t267)) % 1.13/1.39 (define @t434 () (@list @t338)) % 1.13/1.39 (define @t435 () (_ tptp.ord_less_int @t14)) % 1.13/1.39 (define @t436 () (_ tptp.ord_less_real @t234)) % 1.13/1.39 (define @t437 () (_ @t436 @t16)) % 1.13/1.39 (define @t438 () (not @t241)) % 1.13/1.39 (define @t439 () (not @t308)) % 1.13/1.39 (define @t440 () (_ tptp.ord_less_int @t293)) % 1.13/1.39 (define @t441 () (_ @t440 @t14)) % 1.13/1.39 (define @t442 () (_ @t435 @t293)) % 1.13/1.39 (define @t443 () (not @t442)) % 1.13/1.39 (define @t444 () (not @t312)) % 1.13/1.39 (define @t445 () (@var "Z5" tptp.real)) % 1.13/1.39 (define @t446 () (_ tptp.ord_less_real @t445)) % 1.13/1.39 (define @t447 () (@list @t445)) % 1.13/1.39 (define @t448 () (not @t437)) % 1.13/1.39 (define @t449 () (not @t441)) % 1.13/1.39 (define @t450 () (_ @t239 @t233)) % 1.13/1.39 (define @t451 () (=> (_ @t436 @t233) @t450)) % 1.13/1.39 (define @t452 () (_ @t435 @t291)) % 1.13/1.39 (define @t453 () (=> (_ @t440 @t291) @t452)) % 1.13/1.39 (define @t454 () (_ @t85 @t263)) % 1.13/1.39 (define @t455 () (=> @t405 @t454)) % 1.13/1.39 (define @t456 () (_ @t198 @t267)) % 1.13/1.39 (define @t457 () (=> @t413 @t456)) % 1.13/1.39 (define @t458 () (= @t438 @t308)) % 1.13/1.39 (define @t459 () (= @t443 @t312)) % 1.13/1.39 (define @t460 () (@var "P" Bool)) % 1.13/1.39 (define @t461 () (_ tptp.ord_less_real @t263)) % 1.13/1.39 (define @t462 () (_ @t461 @t84)) % 1.13/1.39 (define @t463 () (=> (_ @t461 @t81) @t462)) % 1.13/1.39 (define @t464 () (_ tptp.ord_less_int @t267)) % 1.13/1.39 (define @t465 () (_ @t464 @t123)) % 1.13/1.39 (define @t466 () (=> (_ @t464 @t196) @t465)) % 1.13/1.39 (define @t467 () (forall @t87 (=> (_ @t112 @t249) (_ @t111 @t135)))) % 1.13/1.39 (define @t468 () (_ (_ tptp.member_real @t18) @t249)) % 1.13/1.39 (define @t469 () (@var "D2" tptp.real)) % 1.13/1.39 (define @t470 () (@var "E" tptp.real)) % 1.13/1.39 (define @t471 () (_ tptp.ord_less_real @t470)) % 1.13/1.39 (define @t472 () (@var "D1" tptp.real)) % 1.13/1.39 (define @t473 () (= @t31 @t332)) % 1.13/1.39 (define @t474 () (= @t1 @t328)) % 1.13/1.39 (define @t475 () (_ tptp.ord_less_real @t233)) % 1.13/1.39 (define @t476 () (_ tptp.ord_less_real @t156)) % 1.13/1.39 (define @t477 () (not @t224)) % 1.13/1.39 (define @t478 () (@var "T2" tptp.real)) % 1.13/1.39 (define @t479 () (_ (_ tptp.ord_less_eq_real @t478) @t18)) % 1.13/1.39 (define @t480 () (_ @t19 @t445)) % 1.13/1.39 (define @t481 () (@list @t478)) % 1.13/1.39 (define @t482 () (@var "T2" tptp.int)) % 1.13/1.39 (define @t483 () (_ (_ tptp.ord_less_eq_int @t482) @t192)) % 1.13/1.39 (define @t484 () (@var "Z5" tptp.int)) % 1.13/1.39 (define @t485 () (_ @t194 @t484)) % 1.13/1.39 (define @t486 () (@list @t484)) % 1.13/1.39 (define @t487 () (@list @t482)) % 1.13/1.39 (define @t488 () (_ @t20 @t478)) % 1.13/1.39 (define @t489 () (_ (_ tptp.ord_less_eq_int @t192) @t482)) % 1.13/1.39 (define @t490 () (_ @t446 @t18)) % 1.13/1.39 (define @t491 () (_ (_ tptp.ord_less_int @t484) @t192)) % 1.13/1.39 (define @t492 () (@var "B7" tptp.real)) % 1.13/1.39 (define @t493 () (@var "A6" tptp.real)) % 1.13/1.39 (define @t494 () (@var "B7" tptp.int)) % 1.13/1.39 (define @t495 () (@var "A6" tptp.int)) % 1.13/1.39 (define @t496 () (@var "N" tptp.nat)) % 1.13/1.39 (define @t497 () (@list @t496)) % 1.13/1.39 (define @t498 () (_ tptp.member_real @t16)) % 1.13/1.39 (define @t499 () (_ tptp.member_real @t263)) % 1.13/1.39 (define @t500 () (@var "T3" tptp.real)) % 1.13/1.39 (define @t501 () (_ tptp.member_real @t500)) % 1.13/1.39 (define @t502 () (@var "A7" tptp.set_real)) % 1.13/1.39 (define @t503 () (@list @t502 @t243)) % 1.13/1.39 (define @t504 () (_ (_ tptp.ord_less_eq_set_real @t28) @t26)) % 1.13/1.39 (define @t505 () (_ (_ tptp.ord_less_eq_set_int @t39) @t37)) % 1.13/1.39 (define @t506 () (_ @t226 @t243)) % 1.13/1.39 (define @t507 () (_ @t226 @t502)) % 1.13/1.39 (define @t508 () (@var "Q3" (-> tptp.real Bool))) % 1.13/1.39 (define @t509 () (_ @t508 @t18)) % 1.13/1.39 (define @t510 () (@var "P4" (-> tptp.real Bool))) % 1.13/1.39 (define @t511 () (_ @t510 @t18)) % 1.13/1.39 (define @t512 () (_ @t22 @t18)) % 1.13/1.39 (define @t513 () (= (and @t186 @t512) (and @t511 @t509))) % 1.13/1.39 (define @t514 () (= @t231 (_ @t508 @t79))) % 1.13/1.39 (define @t515 () (_ @t142 @t79)) % 1.13/1.39 (define @t516 () (exists @t140 (forall @t87 (=> @t515 @t514)))) % 1.13/1.39 (define @t517 () (= @t185 (_ @t510 @t79))) % 1.13/1.39 (define @t518 () (exists @t140 (forall @t87 (=> @t515 @t517)))) % 1.13/1.39 (define @t519 () (@list @t24 @t510 @t22 @t508)) % 1.13/1.39 (define @t520 () (@var "Q3" (-> tptp.int Bool))) % 1.13/1.39 (define @t521 () (_ @t520 @t192)) % 1.13/1.39 (define @t522 () (@var "P4" (-> tptp.int Bool))) % 1.13/1.39 (define @t523 () (_ @t522 @t192)) % 1.13/1.39 (define @t524 () (_ @t32 @t192)) % 1.13/1.39 (define @t525 () (= (and @t193 @t524) (and @t523 @t521))) % 1.13/1.39 (define @t526 () (= @t232 (_ @t520 @t118))) % 1.13/1.39 (define @t527 () (@var "Z" tptp.int)) % 1.13/1.39 (define @t528 () (_ (_ tptp.ord_less_int @t527) @t118)) % 1.13/1.39 (define @t529 () (@list @t527)) % 1.13/1.39 (define @t530 () (exists @t529 (forall @t127 (=> @t528 @t526)))) % 1.13/1.39 (define @t531 () (= @t190 (_ @t522 @t118))) % 1.13/1.39 (define @t532 () (exists @t529 (forall @t127 (=> @t528 @t531)))) % 1.13/1.39 (define @t533 () (@list @t34 @t522 @t32 @t520)) % 1.13/1.39 (define @t534 () (= (or @t186 @t512) (or @t511 @t509))) % 1.13/1.39 (define @t535 () (= (or @t193 @t524) (or @t523 @t521))) % 1.13/1.39 (define @t536 () (not (= @t192 @t482))) % 1.13/1.39 (define @t537 () (_ @t82 @t135)) % 1.13/1.39 (define @t538 () (exists @t140 (forall @t87 (=> @t537 @t514)))) % 1.13/1.39 (define @t539 () (exists @t140 (forall @t87 (=> @t537 @t517)))) % 1.13/1.39 (define @t540 () (_ @t191 @t527)) % 1.13/1.39 (define @t541 () (exists @t529 (forall @t127 (=> @t540 @t526)))) % 1.13/1.39 (define @t542 () (exists @t529 (forall @t127 (=> @t540 @t531)))) % 1.13/1.39 (define @t543 () (@var "P4" Bool)) % 1.13/1.39 (define @t544 () (@var "X5" tptp.int)) % 1.13/1.39 (define @t545 () (_ @t95 @t544)) % 1.13/1.39 (define @t546 () (_ @t95 @t14)) % 1.13/1.39 (define @t547 () (=> @t545 (= @t460 @t543))) % 1.13/1.39 (define @t548 () (= @t14 @t544)) % 1.13/1.39 (define @t549 () (@list @t14 @t544 @t460 @t543)) % 1.13/1.39 (define @t550 () (_ tptp.sturm_276991412p_poly @t153)) % 1.13/1.39 (define @t551 () (@var "I" tptp.int)) % 1.13/1.39 (define @t552 () (_ (_ tptp.ord_less_eq_int @t551) @t196)) % 1.13/1.39 (define @t553 () (_ @t133 @t551)) % 1.13/1.39 (define @t554 () (@list @t551)) % 1.13/1.39 (define @t555 () (_ (_ tptp.ord_less_int @t551) @t196)) % 1.13/1.39 (define @t556 () (_ @t198 @t551)) % 1.13/1.39 (define @t557 () (_ (_ tptp.sturm_308542325x_poly @t84) @t81)) % 1.13/1.39 (define @t558 () (_ tptp.ord_less_real @t1)) % 1.13/1.39 (define @t559 () (_ @t558 tptp.b)) % 1.13/1.39 (define @t560 () (_ @t7 @t1)) % 1.13/1.39 (define @t561 () (and @t4 @t560 @t559)) % 1.13/1.39 (define @t562 () (lambda @t5 @t561)) % 1.13/1.39 (define @t563 () (not (_ tptp.finite_finite_real (_ tptp.collect_real @t562)))) % 1.13/1.39 (define @t564 () (lambda @t331 (or (_ @t558 @t328) @t474))) % 1.13/1.39 (define @t565 () (lambda @t225 (and @t258 @t477))) % 1.13/1.39 (define @t566 () (@var "P3" tptp.poly_real)) % 1.13/1.39 (define @t567 () (lambda (@list @t566) (= @t566 tptp.zero_zero_poly_real))) % 1.13/1.39 (define @t568 () (@var "P3" tptp.poly_int)) % 1.13/1.39 (define @t569 () (lambda (@list @t568) (= @t568 tptp.zero_zero_poly_int))) % 1.13/1.39 (define @t570 () (@var "P3" tptp.poly_poly_real)) % 1.13/1.39 (define @t571 () (lambda (@list @t570) (= @t570 tptp.zero_z1423781445y_real))) % 1.13/1.39 (define @t572 () (lambda @t503 (forall @t5 (=> @t507 @t506)))) % 1.13/1.39 (define @t573 () (@var "Q4" tptp.poly_real)) % 1.13/1.39 (define @t574 () (lambda (@list @t156 @t218 @t573 @t566) (_ (_ tptp.groups2051521940al_int (_ (_ tptp.sturm_276991412p_poly @t573) @t566)) (_ tptp.collect_real (lambda @t5 (and (= (_ (_ tptp.poly_real2 @t566) @t1) tptp.zero_zero_real) (_ @t476 @t1) (_ @t558 @t218))))))) % 1.13/1.39 (define @t575 () (tptp.collect_real @t22)) % 1.13/1.39 (define @t576 () (tptp.finite_finite_real @t575)) % 1.13/1.39 (define @t577 () (tptp.collect_real @t24)) % 1.13/1.39 (define @t578 () (tptp.finite_finite_real @t577)) % 1.13/1.39 (define @t579 () (_ @t22 @t1)) % 1.13/1.39 (define @t580 () (_ @t24 @t1)) % 1.13/1.39 (define @t581 () (or @t580 @t579)) % 1.13/1.39 (define @t582 () (lambda @t5 @t581)) % 1.13/1.39 (define @t583 () (tptp.collect_real @t582)) % 1.13/1.39 (define @t584 () (tptp.finite_finite_real @t583)) % 1.13/1.39 (define @t585 () (= tptp.zero_zero_real @t3)) % 1.13/1.39 (define @t586 () (and @t585 @t560 @t559)) % 1.13/1.39 (define @t587 () (lambda @t5 @t586)) % 1.13/1.39 (define @t588 () (@purify @t587)) % 1.13/1.39 (define @t589 () (_ @t588 @t1)) % 1.13/1.39 (define @t590 () (lambda @t5 @t585)) % 1.13/1.39 (define @t591 () (@purify @t590)) % 1.13/1.39 (define @t592 () (_ @t591 @t1)) % 1.13/1.39 (define @t593 () (or @t592 @t589)) % 1.13/1.39 (define @t594 () (lambda @t5 @t593)) % 1.13/1.39 (define @t595 () (@purify @t594)) % 1.13/1.39 (define @t596 () (tptp.finite_finite_real (tptp.collect_real @t595))) % 1.13/1.39 (define @t597 () (tptp.collect_real @t588)) % 1.13/1.39 (define @t598 () (tptp.finite_finite_real @t597)) % 1.13/1.39 (define @t599 () (tptp.collect_real @t591)) % 1.13/1.39 (define @t600 () (tptp.finite_finite_real @t599)) % 1.13/1.39 (define @t601 () (and @t600 @t598)) % 1.13/1.39 (define @t602 () (_ @t587 @t1)) % 1.13/1.39 (define @t603 () (_ @t590 @t1)) % 1.13/1.39 (define @t604 () (tptp.collect_real @t594)) % 1.13/1.39 (define @t605 () (tptp.finite_finite_real @t604)) % 1.13/1.39 (define @t606 () (= @t605 @t601)) % 1.13/1.39 (define @t607 () (forall @t30 (= @t584 (and @t578 @t576)))) % 1.13/1.39 (define @t608 () (= @t601 @t596)) % 1.13/1.39 (define @t609 () (@list false)) % 1.13/1.39 (define @t610 () (_ tptp.collect_real @t588)) % 1.13/1.39 (define @t611 () (not @t601)) % 1.13/1.39 (define @t612 () (not @t596)) % 1.13/1.39 (define @t613 () (@const 0 tptp.real)) % 1.13/1.39 (define @t614 () (_ @t595 @t613)) % 1.13/1.39 (define @t615 () (_ @t591 @t613)) % 1.13/1.39 (define @t616 () (= @t615 @t614)) % 1.13/1.39 (define @t617 () (_ @t588 @t613)) % 1.13/1.39 (define @t618 () (or @t615 @t617)) % 1.13/1.39 (define @t619 () (not @t615)) % 1.13/1.39 (define @t620 () (_ @t595 @t1)) % 1.13/1.39 (define @t621 () (_ @t594 @t1)) % 1.13/1.39 (define @t622 () (= @t620 @t621)) % 1.13/1.39 (define @t623 () (forall @t5 @t622)) % 1.13/1.39 (define @t624 () (forall @t5 (= @t593 @t620))) % 1.13/1.39 (define @t625 () (= @t618 @t614)) % 1.13/1.39 (define @t626 () (@list @t613)) % 1.13/1.39 (define @t627 () (= @t614 @t618)) % 1.13/1.39 (define @t628 () (not @t627)) % 1.13/1.39 (define @t629 () (not @t618)) % 1.13/1.39 (define @t630 () (tptp.poly_real2 tptp.p @t1)) % 1.13/1.39 (define @t631 () (= tptp.zero_zero_real @t630)) % 1.13/1.39 (define @t632 () (= @t585 @t592)) % 1.13/1.39 (define @t633 () (= @t592 @t603)) % 1.13/1.39 (define @t634 () (forall @t5 @t633)) % 1.13/1.39 (define @t635 () (= tptp.zero_zero_real (tptp.poly_real2 tptp.p @t613))) % 1.13/1.39 (define @t636 () (= @t615 @t635)) % 1.13/1.39 (define @t637 () (and @t635 (tptp.ord_less_real tptp.a @t613) (tptp.ord_less_real @t613 tptp.b))) % 1.13/1.39 (define @t638 () (tptp.ord_less_real @t1 tptp.b)) % 1.13/1.39 (define @t639 () (tptp.ord_less_real tptp.a @t1)) % 1.13/1.39 (define @t640 () (and @t631 @t639 @t638)) % 1.13/1.39 (define @t641 () (= @t586 @t589)) % 1.13/1.39 (define @t642 () (= @t589 @t602)) % 1.13/1.39 (define @t643 () (forall @t5 @t642)) % 1.13/1.39 (define @t644 () (= @t617 @t637)) % 1.13/1.39 (define @t645 () (= @t591 @t595)) % 1.13/1.39 (define @t646 () (_ tptp.collect_real @t591)) % 1.13/1.39 (assume @p1 (_ tptp.finite_finite_real (_ tptp.collect_real @t6))) % 1.13/1.39 (assume @p2 (_ (_ tptp.ord_less_real tptp.a2) tptp.b2)) % 1.13/1.39 (assume @p3 (_ (_ tptp.ord_less_real tptp.b2) tptp.b)) % 1.13/1.39 (assume @p4 (_ @t7 tptp.a2)) % 1.13/1.39 (assume @p5 (not (= tptp.p tptp.zero_zero_poly_real))) % 1.13/1.39 (assume @p6 (forall @t9 (= (_ (_ tptp.poly_poly_int2 tptp.zero_z1549157189ly_int) @t8) tptp.zero_zero_poly_int))) % 1.13/1.39 (assume @p7 (forall @t11 (= (_ (_ tptp.poly_poly_poly_real2 tptp.zero_z935034829y_real) @t10) tptp.zero_z1423781445y_real))) % 1.13/1.39 (assume @p8 (forall @t13 (= (_ (_ tptp.poly_poly_real2 tptp.zero_z1423781445y_real) @t12) tptp.zero_zero_poly_real))) % 1.13/1.39 (assume @p9 (forall @t15 (= (_ (_ tptp.poly_int2 tptp.zero_zero_poly_int) @t14) tptp.zero_zero_int))) % 1.13/1.39 (assume @p10 (forall @t17 (= (_ (_ tptp.poly_real2 tptp.zero_zero_poly_real) @t16) tptp.zero_zero_real))) % 1.13/1.39 (assume @p11 (forall @t21 (=> (or (and (_ @t7 @t18) (_ @t20 tptp.a2)) (and (_ (_ tptp.ord_less_eq_real tptp.b2) @t18) (_ @t19 tptp.b))) (not (= (_ @t2 @t18) tptp.zero_zero_real))))) % 1.13/1.39 (assume @p12 (forall @t30 (=> (or @t29 @t27) (_ tptp.finite_finite_real (_ tptp.collect_real (lambda @t5 (and @t25 @t23))))))) % 1.13/1.39 (assume @p13 (forall @t41 (=> (or @t40 @t38) (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t36 (and @t35 @t33))))))) % 1.13/1.39 (assume @p14 @t48) % 1.13/1.39 (assume @p15 (forall @t41 (= (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t36 (or @t35 @t33)))) (and @t40 @t38)))) % 1.13/1.39 (assume @p16 (forall @t54 (=> (not @t53) (_ tptp.finite385822667ly_int (_ tptp.collect_poly_int (lambda @t52 @t51)))))) % 1.13/1.39 (assume @p17 (forall @t60 (=> (not @t59) (_ tptp.finite1328464339y_real (_ tptp.collec927113489y_real (lambda @t58 @t57)))))) % 1.13/1.39 (assume @p18 (forall @t66 (=> @t65 (_ tptp.finite_finite_real (_ tptp.collect_real (lambda @t5 @t63)))))) % 1.13/1.39 (assume @p19 (forall @t71 (=> (not @t70) (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t36 @t69)))))) % 1.13/1.39 (assume @p20 (forall @t78 (=> (not @t77) (_ tptp.finite1810960971y_real (_ tptp.collect_poly_real (lambda @t76 @t75)))))) % 1.13/1.39 (assume @p21 (forall @t93 (=> @t92 (=> (_ @t91 @t90) (=> (_ (_ tptp.ord_less_real @t89) tptp.zero_zero_real) @t88))))) % 1.13/1.39 (assume @p22 (forall @t93 (=> @t92 (=> (_ (_ tptp.ord_less_real @t90) tptp.zero_zero_real) (=> (_ @t91 @t89) @t88))))) % 1.13/1.39 (assume @p23 (forall @t66 (= (forall @t5 @t63) @t64))) % 1.13/1.39 (assume @p24 (forall @t78 (= (forall @t76 @t75) @t77))) % 1.13/1.39 (assume @p25 (forall @t71 (= (forall @t36 @t69) @t70))) % 1.13/1.39 (assume @p26 (forall @t54 (= (forall @t52 @t51) @t53))) % 1.13/1.39 (assume @p27 (forall @t60 (= (forall @t58 @t57) @t59))) % 1.13/1.39 (assume @p28 (not (_ (_ tptp.ord_less_poly_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real))) % 1.13/1.39 (assume @p29 (not (_ (_ tptp.ord_less_poly_int tptp.zero_zero_poly_int) tptp.zero_zero_poly_int))) % 1.13/1.39 (assume @p30 (not (_ (_ tptp.ord_le38482960y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real))) % 1.13/1.39 (assume @p31 (not (_ @t91 tptp.zero_zero_real))) % 1.13/1.39 (assume @p32 (not (_ @t94 tptp.zero_zero_int))) % 1.13/1.39 (assume @p33 (_ (_ tptp.ord_le1180086932y_real tptp.zero_zero_poly_real) tptp.zero_zero_poly_real)) % 1.13/1.39 (assume @p34 (_ (_ tptp.ord_less_eq_poly_int tptp.zero_zero_poly_int) tptp.zero_zero_poly_int)) % 1.13/1.39 (assume @p35 (_ (_ tptp.ord_le893774876y_real tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real)) % 1.13/1.39 (assume @p36 (_ (_ tptp.ord_less_eq_real tptp.zero_zero_real) tptp.zero_zero_real)) % 1.13/1.39 (assume @p37 (_ @t95 tptp.zero_zero_int)) % 1.13/1.39 (assume @p38 (forall (@list @t96 @t97) (=> @t100 (=> (forall (@list @t98) (=> (_ tptp.finite_finite_real @t98) (=> (forall (@list @t99) (=> (_ (_ tptp.ord_less_set_real @t99) @t98) (_ @t97 @t99))) (_ @t97 @t98)))) (_ @t97 @t96))))) % 1.13/1.39 (assume @p39 (forall (@list @t101 @t102) (=> @t105 (=> (forall (@list @t103) (=> (_ tptp.finite_finite_int @t103) (=> (forall (@list @t104) (=> (_ (_ tptp.ord_less_set_int @t104) @t103) (_ @t102 @t104))) (_ @t102 @t103)))) (_ @t102 @t101))))) % 1.13/1.39 (assume @p40 (forall @t116 (=> @t100 (=> @t115 (exists @t87 (and @t113 (_ @t111 @t84) (forall @t110 (=> @t109 (=> (_ (_ tptp.ord_less_eq_real @t106) @t79) @t107))))))))) % 1.13/1.39 (assume @p41 (forall @t130 (=> @t105 (=> @t129 (exists @t127 (and @t126 (_ @t124 @t123) (forall @t122 (=> @t121 (=> (_ (_ tptp.ord_less_eq_int @t117) @t118) @t119))))))))) % 1.13/1.39 (assume @p42 (forall @t116 (=> @t100 (=> @t115 (exists @t87 (and @t113 @t132 (forall @t110 (=> @t109 (=> (_ @t111 @t106) @t107))))))))) % 1.13/1.39 (assume @p43 (forall @t130 (=> @t105 (=> @t129 (exists @t127 (and @t126 @t134 (forall @t122 (=> @t121 (=> (_ @t124 @t117) @t119))))))))) % 1.13/1.39 (assume @p44 (forall (@list @t61 @t138) (=> @t65 (not (forall (@list @t137) (=> (_ @t139 @t137) (not (forall @t140 (=> (and (_ @t139 @t135) (_ (_ tptp.ord_less_eq_real @t135) @t137)) @t136))))))))) % 1.13/1.39 (assume @p45 (forall (@list @t61 @t141) (=> @t65 (not (forall (@list @t143) (=> (_ (_ tptp.ord_less_real @t143) @t141) (not (forall @t140 (=> (and (_ (_ tptp.ord_less_eq_real @t143) @t135) (_ @t142 @t141)) @t136))))))))) % 1.13/1.39 (assume @p46 (forall @t17 (= (= tptp.zero_zero_real @t16) (= @t16 tptp.zero_zero_real)))) % 1.13/1.39 (assume @p47 (forall @t13 (= (= tptp.zero_zero_poly_real @t12) (= @t12 tptp.zero_zero_poly_real)))) % 1.13/1.39 (assume @p48 (forall @t15 (= (= tptp.zero_zero_int @t14) (= @t14 tptp.zero_zero_int)))) % 1.13/1.39 (assume @p49 (forall @t9 (= (= tptp.zero_zero_poly_int @t8) (= @t8 tptp.zero_zero_poly_int)))) % 1.13/1.39 (assume @p50 (forall @t11 (= (= tptp.zero_z1423781445y_real @t10) (= @t10 tptp.zero_z1423781445y_real)))) % 1.13/1.39 (assume @p51 (forall @t151 (= (forall @t148 (=> @t147 @t150)) (or (forall @t148 (=> @t147 @t149)) (forall @t148 (=> @t147 @t146)))))) % 1.13/1.39 (assume @p52 (forall @t151 (= (forall @t148 (=> @t152 @t150)) (or (forall @t148 (=> @t152 @t149)) (forall @t148 (=> @t152 @t146)))))) % 1.13/1.39 (assume @p53 (forall (@list @t61 @t153) (= (= @t62 (_ tptp.poly_real2 @t153)) (= @t61 @t153)))) % 1.13/1.39 (assume @p54 (forall (@list @t67 @t154) (= (= @t68 (_ tptp.poly_int2 @t154)) (= @t67 @t154)))) % 1.13/1.39 (assume @p55 (forall (@list @t73 @t155) (= (= @t74 (_ tptp.poly_poly_real2 @t155)) (= @t73 @t155)))) % 1.13/1.39 (assume @p56 (forall (@list @t96 @t160 @t157) (=> @t164 (=> @t163 (=> (forall @t87 (=> @t113 (exists @t110 (and @t162 (_ (_ @t157 @t79) @t106))))) (exists @t87 (and @t161 (not (_ tptp.finite_finite_real (_ tptp.collect_real (lambda @t159 (and @t158 (_ (_ @t157 @t156) @t79))))))))))))) % 1.13/1.39 (assume @p57 (forall (@list @t96 @t166 @t165) (=> @t164 (=> @t169 (=> (forall @t87 (=> @t113 (exists @t122 (and @t168 (_ (_ @t165 @t79) @t117))))) (exists @t127 (and @t167 (not (_ tptp.finite_finite_real (_ tptp.collect_real (lambda @t159 (and @t158 (_ (_ @t165 @t156) @t118))))))))))))) % 1.13/1.39 (assume @p58 (forall (@list @t101 @t160 @t171) (=> @t174 (=> @t163 (=> (forall @t127 (=> @t126 (exists @t110 (and @t162 (_ (_ @t171 @t118) @t106))))) (exists @t87 (and @t161 (not (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t173 (and @t172 (_ (_ @t171 @t170) @t79))))))))))))) % 1.13/1.39 (assume @p59 (forall (@list @t101 @t166 @t175) (=> @t174 (=> @t169 (=> (forall @t127 (=> @t126 (exists @t122 (and @t168 (_ (_ @t175 @t118) @t117))))) (exists @t127 (and @t167 (not (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t173 (and @t172 (_ (_ @t175 @t170) @t118))))))))))))) % 1.13/1.39 (assume @p60 (forall (@list @t24) (=> (not @t29) (exists @t177 (_ @t24 @t176))))) % 1.13/1.39 (assume @p61 (forall (@list @t34) (=> (not @t40) (exists @t179 (_ @t34 @t178))))) % 1.13/1.39 (assume @p62 (forall @t17 (_ @t180 @t16))) % 1.13/1.39 (assume @p63 (forall @t15 (_ @t181 @t14))) % 1.13/1.39 (assume @p64 (forall @t93 (=> @t92 (=> (forall @t87 (=> (and @t86 @t83) (not @t80))) (= @t182 tptp.zero_zero_int))))) % 1.13/1.39 (assume @p65 (forall (@list @t84 @t81 @t24) (=> @t92 (=> @t187 (=> (not (_ @t24 @t81)) (exists (@list @t183) (and (_ @t131 @t183) (_ (_ tptp.ord_less_eq_real @t183) @t81) (forall @t21 (=> (and (_ @t131 @t18) (_ @t19 @t183)) @t186)) (forall (@list @t184) (=> (forall @t87 (=> (and @t132 (_ @t82 @t184)) @t185)) (_ (_ tptp.ord_less_eq_real @t184) @t183)))))))))) % 1.13/1.39 (assume @p66 (forall (@list @t123 @t196 @t34) (=> @t199 (=> @t197 (=> (not (_ @t34 @t196)) (exists (@list @t188) (and (_ @t133 @t188) (_ (_ tptp.ord_less_eq_int @t188) @t196) (forall @t195 (=> (and (_ @t133 @t192) (_ @t194 @t188)) @t193)) (forall (@list @t189) (=> (forall @t127 (=> (and @t134 (_ @t191 @t189)) @t190)) (_ (_ tptp.ord_less_eq_int @t189) @t188)))))))))) % 1.13/1.39 (assume @p67 (forall @t203 (=> @t202 (=> @t200 @t92)))) % 1.13/1.39 (assume @p68 (forall @t207 (=> @t206 (=> @t204 @t199)))) % 1.13/1.39 (assume @p69 (forall @t212 (=> @t211 @t209))) % 1.13/1.39 (assume @p70 (forall @t217 (=> @t216 @t214))) % 1.13/1.39 (assume @p71 (= tptp.ord_less_real (lambda @t222 (and @t221 @t220)))) % 1.13/1.39 (assume @p72 (= tptp.ord_less_eq_real (lambda @t222 (or (_ (_ tptp.ord_less_real @t218) @t156) @t219)))) % 1.13/1.39 (assume @p73 (= tptp.ord_less_eq_int (lambda @t225 (or (_ (_ tptp.ord_less_int @t223) @t170) @t224)))) % 1.13/1.39 (assume @p74 (forall (@list @t84 @t24) (= (_ @t114 @t28) @t187))) % 1.13/1.39 (assume @p75 (forall (@list @t123 @t34) (= (_ @t128 @t39) @t197))) % 1.13/1.39 (assume @p76 (forall @t228 (= (_ tptp.collect_real (lambda @t5 @t227)) @t96))) % 1.13/1.39 (assume @p77 (forall @t230 (= (_ tptp.collect_int (lambda @t36 @t229)) @t101))) % 1.13/1.39 (assume @p78 (forall @t30 (=> (forall @t87 (= @t185 @t231)) (= @t28 @t26)))) % 1.13/1.39 (assume @p79 (forall @t41 (=> (forall @t127 (= @t190 @t232)) (= @t39 @t37)))) % 1.13/1.39 (assume @p80 (forall @t203 (=> @t92 @t200))) % 1.13/1.39 (assume @p81 (forall @t207 (=> @t199 @t204))) % 1.13/1.39 (assume @p82 (forall @t242 (=> @t241 (=> (forall @t240 (=> (_ @t239 @t237) (=> (_ @t238 @t234) (_ (_ tptp.ord_less_eq_real @t237) @t233)))) @t236)))) % 1.13/1.39 (assume @p83 (forall @t228 (=> @t100 (_ tptp.finite475462905t_real (_ tptp.collect_set_real (lambda (@list @t243) (_ (_ tptp.ord_less_eq_set_real @t243) @t96))))))) % 1.13/1.39 (assume @p84 (forall @t230 (=> @t105 (_ tptp.finite26677625et_int (_ tptp.collect_set_int (lambda (@list @t244) (_ (_ tptp.ord_less_eq_set_int @t244) @t101))))))) % 1.13/1.39 (assume @p85 (forall @t203 (= (_ (_ (_ tptp.sturm_1953858694_cross tptp.zero_zero_poly_real) @t84) @t81) tptp.zero_zero_int))) % 1.13/1.39 (assume @p86 (forall @t246 (=> @t245 (=> @t163 @t100)))) % 1.13/1.39 (assume @p87 (forall (@list @t101 @t166) (=> @t247 (=> @t169 @t105)))) % 1.13/1.39 (assume @p88 (forall (@list @t249 @t248) (=> (_ (_ tptp.ord_less_eq_set_real @t249) @t248) (=> (not (_ tptp.finite_finite_real @t249)) (not (_ tptp.finite_finite_real @t248)))))) % 1.13/1.39 (assume @p89 (forall (@list @t251 @t250) (=> (_ (_ tptp.ord_less_eq_set_int @t251) @t250) (=> (not (_ tptp.finite_finite_int @t251)) (not (_ tptp.finite_finite_int @t250)))))) % 1.13/1.39 (assume @p90 (forall (@list @t160 @t96) (=> @t163 (=> @t245 @t100)))) % 1.13/1.39 (assume @p91 (forall (@list @t166 @t101) (=> @t169 (=> @t247 @t105)))) % 1.13/1.39 (assume @p92 (forall @t212 (=> @t209 (=> @t200 @t201)))) % 1.13/1.39 (assume @p93 (forall @t217 (=> @t214 (=> @t204 @t205)))) % 1.13/1.39 (assume @p94 (= @t256 (lambda @t253 (and @t221 @t252)))) % 1.13/1.39 (assume @p95 (= @t262 (lambda @t259 (and @t258 @t257)))) % 1.13/1.39 (assume @p96 (forall @t266 (=> @t209 (=> @t265 (_ @t264 @t84))))) % 1.13/1.39 (assume @p97 (forall @t270 (=> @t214 (=> @t269 (_ @t268 @t123))))) % 1.13/1.39 (assume @p98 (forall @t278 (=> (forall @t276 (=> (_ (_ tptp.ord_less_eq_real @t273) @t272) @t275)) @t277))) % 1.13/1.39 (assume @p99 (forall @t286 (=> (forall @t284 (=> (_ (_ tptp.ord_less_eq_int @t281) @t280) @t283)) @t285))) % 1.13/1.39 (assume @p100 (forall @t287 (_ @t131 @t84))) % 1.13/1.39 (assume @p101 (forall @t288 (_ @t133 @t123))) % 1.13/1.39 (assume @p102 (forall @t242 (=> @t290 (=> @t236 @t289)))) % 1.13/1.39 (assume @p103 (forall @t297 (=> @t296 (=> @t295 @t292)))) % 1.13/1.39 (assume @p104 (forall @t203 (=> @t200 (=> @t209 @t201)))) % 1.13/1.39 (assume @p105 (forall @t207 (=> @t204 (=> @t214 @t205)))) % 1.13/1.39 (assume @p106 (forall @t300 (=> @t200 (=> @t299 @t298)))) % 1.13/1.39 (assume @p107 (forall @t303 (=> @t204 (=> @t302 @t301)))) % 1.13/1.39 (assume @p108 (forall @t300 (=> @t201 @t305))) % 1.13/1.39 (assume @p109 (forall @t303 (=> @t205 @t307))) % 1.13/1.39 (assume @p110 (= @t256 (lambda @t253 (and @t252 @t221)))) % 1.13/1.39 (assume @p111 (= @t262 (lambda @t259 (and @t257 @t258)))) % 1.13/1.39 (assume @p112 (forall @t311 (=> @t310 @t309))) % 1.13/1.39 (assume @p113 (forall @t315 (=> @t314 @t313))) % 1.13/1.39 (assume @p114 (forall @t242 (=> (=> @t290 (not @t236)) (=> (=> @t310 (not @t289)) (=> (=> @t289 (not @t320)) (=> (=> @t320 @t319) (=> (=> @t236 (not @t318)) (not (=> @t318 @t316))))))))) % 1.13/1.39 (assume @p115 (forall @t297 (=> (=> @t296 (not @t295)) (=> (=> @t314 (not @t292)) (=> (=> @t292 (not @t325)) (=> (=> @t325 @t324) (=> (=> @t295 (not @t323)) (not (=> @t323 @t321))))))))) % 1.13/1.39 (assume @p116 (forall @t300 (=> @t200 @t305))) % 1.13/1.39 (assume @p117 (forall @t303 (=> @t204 @t307))) % 1.13/1.39 (assume @p118 (forall @t326 (=> @t316 @t310))) % 1.13/1.39 (assume @p119 (forall @t327 (=> @t321 @t314))) % 1.13/1.39 (assume @p120 (forall @t326 (=> @t308 @t290))) % 1.13/1.39 (assume @p121 (forall @t327 (=> @t312 @t296))) % 1.13/1.39 (assume @p122 (forall @t326 (or @t290 @t310))) % 1.13/1.39 (assume @p123 (forall @t327 (or @t296 @t314))) % 1.13/1.39 (assume @p124 (forall @t326 (=> @t290 (=> @t310 @t308)))) % 1.13/1.39 (assume @p125 (forall @t327 (=> @t296 (=> @t314 @t312)))) % 1.13/1.39 (assume @p126 (= @t256 (lambda @t331 (and @t330 @t329)))) % 1.13/1.39 (assume @p127 (= @t262 (lambda @t335 (and @t334 @t333)))) % 1.13/1.39 (assume @p128 (forall @t347 (=> @t200 (=> @t346 @t344)))) % 1.13/1.39 (assume @p129 (forall @t356 (=> @t200 (=> @t355 @t353)))) % 1.13/1.39 (assume @p130 (forall @t368 (=> @t204 (=> @t367 @t365)))) % 1.13/1.39 (assume @p131 (forall @t377 (=> @t204 (=> @t376 @t374)))) % 1.13/1.39 (assume @p132 (forall @t381 (=> @t380 @t379))) % 1.13/1.39 (assume @p133 (forall @t385 (=> @t384 @t383))) % 1.13/1.39 (assume @p134 (forall @t389 (=> @t388 @t387))) % 1.13/1.39 (assume @p135 (forall @t393 (=> @t392 @t391))) % 1.13/1.39 (assume @p136 (forall @t347 (=> @t200 (=> @t394 @t344)))) % 1.13/1.39 (assume @p137 (forall @t356 (=> @t200 (=> @t395 @t353)))) % 1.13/1.39 (assume @p138 (forall @t368 (=> @t204 (=> @t396 @t365)))) % 1.13/1.39 (assume @p139 (forall @t377 (=> @t204 (=> @t397 @t374)))) % 1.13/1.39 (assume @p140 (forall @t381 (=> @t398 @t379))) % 1.13/1.39 (assume @p141 (forall @t389 (=> @t399 @t387))) % 1.13/1.39 (assume @p142 (forall @t385 (=> @t400 @t383))) % 1.13/1.39 (assume @p143 (forall @t393 (=> @t401 @t391))) % 1.13/1.39 (assume @p144 (forall @t381 (=> @t380 @t406))) % 1.13/1.39 (assume @p145 (forall @t385 (=> @t384 @t409))) % 1.13/1.39 (assume @p146 (forall @t389 (=> @t388 @t414))) % 1.13/1.39 (assume @p147 (forall @t393 (=> @t392 @t417))) % 1.13/1.39 (assume @p148 (forall @t347 (=> @t92 (=> @t346 @t419)))) % 1.13/1.39 (assume @p149 (forall @t356 (=> @t92 (=> @t355 @t421)))) % 1.13/1.39 (assume @p150 (forall @t368 (=> @t199 (=> @t367 @t423)))) % 1.13/1.39 (assume @p151 (forall @t377 (=> @t199 (=> @t376 @t425)))) % 1.13/1.39 (assume @p152 (forall @t381 (=> @t426 @t406))) % 1.13/1.39 (assume @p153 (forall @t389 (=> @t427 @t414))) % 1.13/1.39 (assume @p154 (forall @t385 (=> @t428 @t409))) % 1.13/1.39 (assume @p155 (forall @t393 (=> @t429 @t417))) % 1.13/1.39 (assume @p156 (forall @t347 (=> @t92 (=> @t430 @t419)))) % 1.13/1.39 (assume @p157 (forall @t356 (=> @t92 (=> @t431 @t421)))) % 1.13/1.39 (assume @p158 (forall @t368 (=> @t199 (=> @t432 @t423)))) % 1.13/1.39 (assume @p159 (forall @t377 (=> @t199 (=> @t433 @t425)))) % 1.13/1.39 (assume @p160 (forall @t17 (exists @t434 (_ (_ tptp.ord_less_real @t338) @t16)))) % 1.13/1.39 (assume @p161 (forall @t15 (exists (@list @t359) (_ (_ tptp.ord_less_int @t359) @t14)))) % 1.13/1.39 (assume @p162 (forall @t17 (exists @t177 (_ @t239 @t176)))) % 1.13/1.39 (assume @p163 (forall @t15 (exists @t179 (_ @t435 @t178)))) % 1.13/1.39 (assume @p164 (forall @t326 (=> @t439 (=> @t438 @t437)))) % 1.13/1.39 (assume @p165 (forall @t327 (=> @t444 (=> @t443 @t441)))) % 1.13/1.39 (assume @p166 (forall @t326 (= @t439 (or @t241 @t437)))) % 1.13/1.39 (assume @p167 (forall @t327 (= @t444 (or @t442 @t441)))) % 1.13/1.39 (assume @p168 (forall @t203 (=> @t92 (not @t211)))) % 1.13/1.39 (assume @p169 (forall @t207 (=> @t199 (not @t216)))) % 1.13/1.39 (assume @p170 (forall @t326 (=> @t241 (exists @t447 (and (_ @t239 @t445) (_ @t446 @t234)))))) % 1.13/1.39 (assume @p171 (forall @t326 (=> @t241 @t439))) % 1.13/1.39 (assume @p172 (forall @t327 (=> @t442 @t444))) % 1.13/1.39 (assume @p173 (forall @t326 (=> @t241 @t448))) % 1.13/1.39 (assume @p174 (forall @t327 (=> @t442 @t449))) % 1.13/1.39 (assume @p175 (forall @t242 (=> @t241 @t451))) % 1.13/1.39 (assume @p176 (forall @t297 (=> @t442 @t453))) % 1.13/1.39 (assume @p177 (forall @t326 (or @t241 @t308 @t437))) % 1.13/1.39 (assume @p178 (forall @t327 (or @t442 @t312 @t441))) % 1.13/1.39 (assume @p179 (forall @t17 (not (_ @t239 @t16)))) % 1.13/1.39 (assume @p180 (forall @t15 (not (_ @t435 @t14)))) % 1.13/1.39 (assume @p181 (forall @t300 (=> @t201 @t455))) % 1.13/1.39 (assume @p182 (forall @t303 (=> @t205 @t457))) % 1.13/1.39 (assume @p183 (forall @t300 (=> @t92 (=> @t299 @t454)))) % 1.13/1.39 (assume @p184 (forall @t303 (=> @t199 (=> @t302 @t456)))) % 1.13/1.39 (assume @p185 (forall @t212 (=> @t211 (not @t92)))) % 1.13/1.39 (assume @p186 (forall @t217 (=> @t216 (not @t199)))) % 1.13/1.39 (assume @p187 (forall @t311 (=> @t448 @t458))) % 1.13/1.39 (assume @p188 (forall @t315 (=> @t449 @t459))) % 1.13/1.39 (assume @p189 (forall @t326 (=> @t241 (not (= @t234 @t16))))) % 1.13/1.39 (assume @p190 (forall @t327 (=> @t442 (not (= @t293 @t14))))) % 1.13/1.39 (assume @p191 (forall (@list @t16 @t234 @t460) (=> @t241 (=> @t437 @t460)))) % 1.13/1.39 (assume @p192 (forall (@list @t14 @t293 @t460) (=> @t442 (=> @t441 @t460)))) % 1.13/1.39 (assume @p193 (forall @t326 (=> @t438 (=> @t439 @t437)))) % 1.13/1.39 (assume @p194 (forall @t327 (=> @t443 (=> @t444 @t441)))) % 1.13/1.39 (assume @p195 (forall @t287 (not (_ @t85 @t84)))) % 1.13/1.39 (assume @p196 (forall @t288 (not (_ @t198 @t123)))) % 1.13/1.39 (assume @p197 (forall @t300 (=> @t92 @t455))) % 1.13/1.39 (assume @p198 (forall @t303 (=> @t199 @t457))) % 1.13/1.39 (assume @p199 (forall @t278 (=> (forall @t276 (=> (_ (_ tptp.ord_less_real @t273) @t272) @t275)) (=> (forall (@list @t273) (_ @t274 @t273)) @t277)))) % 1.13/1.39 (assume @p200 (forall @t286 (=> (forall @t284 (=> (_ (_ tptp.ord_less_int @t281) @t280) @t283)) (=> (forall (@list @t281) (_ @t282 @t281)) @t285)))) % 1.13/1.39 (assume @p201 (forall @t266 (=> @t211 @t463))) % 1.13/1.39 (assume @p202 (forall @t270 (=> @t216 @t466))) % 1.13/1.39 (assume @p203 (forall @t326 (= @t438 (or @t437 @t308)))) % 1.13/1.39 (assume @p204 (forall @t327 (= @t443 (or @t441 @t312)))) % 1.13/1.39 (assume @p205 (forall @t203 (=> @t92 @t202))) % 1.13/1.39 (assume @p206 (forall @t207 (=> @t199 @t206))) % 1.13/1.39 (assume @p207 (forall @t212 (=> @t211 @t202))) % 1.13/1.39 (assume @p208 (forall @t217 (=> @t216 @t206))) % 1.13/1.39 (assume @p209 (forall @t287 (exists (@list @t272) (or (_ @t85 @t272) (_ (_ tptp.ord_less_real @t272) @t84))))) % 1.13/1.39 (assume @p210 (forall (@list @t249) (=> (exists @t21 @t468) (=> (exists @t140 @t467) (exists @t434 (and (forall @t21 (=> @t468 (_ @t20 @t338))) (forall @t140 (=> @t467 (_ (_ tptp.ord_less_eq_real @t338) @t135))))))))) % 1.13/1.39 (assume @p211 (forall (@list @t472 @t469) (=> (_ @t91 @t472) (=> (_ @t91 @t469) (exists (@list @t470) (and (_ @t91 @t470) (_ @t471 @t472) (_ @t471 @t469))))))) % 1.13/1.39 (assume @p212 (forall @t311 (=> @t310 @t438))) % 1.13/1.39 (assume @p213 (forall @t315 (=> @t314 @t443))) % 1.13/1.39 (assume @p214 (forall @t326 (=> @t438 @t310))) % 1.13/1.39 (assume @p215 (forall @t327 (=> @t443 @t314))) % 1.13/1.39 (assume @p216 (= tptp.ord_less_eq_int (lambda @t335 (or (_ (_ tptp.ord_less_int @t31) @t332) @t473)))) % 1.13/1.39 (assume @p217 (= tptp.ord_less_real (lambda @t331 (and @t330 (not @t474))))) % 1.13/1.39 (assume @p218 (= tptp.ord_less_int (lambda @t335 (and @t334 (not @t473))))) % 1.13/1.39 (assume @p219 (forall @t381 (=> @t398 @t406))) % 1.13/1.39 (assume @p220 (forall @t389 (=> @t399 @t414))) % 1.13/1.39 (assume @p221 (forall @t385 (=> @t400 @t409))) % 1.13/1.39 (assume @p222 (forall @t393 (=> @t401 @t417))) % 1.13/1.39 (assume @p223 (forall @t347 (=> @t200 (=> @t430 (=> @t343 @t418))))) % 1.13/1.39 (assume @p224 (forall @t356 (=> @t200 (=> @t431 (=> @t352 @t420))))) % 1.13/1.39 (assume @p225 (forall @t368 (=> @t204 (=> @t432 (=> @t364 @t422))))) % 1.13/1.39 (assume @p226 (forall @t377 (=> @t204 (=> @t433 (=> @t373 @t424))))) % 1.13/1.39 (assume @p227 (forall @t381 (=> @t426 (=> @t304 (=> @t343 @t402))))) % 1.13/1.39 (assume @p228 (forall @t385 (=> @t428 (=> @t304 (=> @t352 @t407))))) % 1.13/1.39 (assume @p229 (forall @t389 (=> @t427 (=> @t306 (=> @t364 @t410))))) % 1.13/1.39 (assume @p230 (forall @t393 (=> @t429 (=> @t306 (=> @t373 @t415))))) % 1.13/1.39 (assume @p231 (forall @t347 (=> @t92 (=> @t394 @t419)))) % 1.13/1.39 (assume @p232 (forall @t368 (=> @t199 (=> @t396 @t423)))) % 1.13/1.39 (assume @p233 (forall @t356 (=> @t92 (=> @t395 @t421)))) % 1.13/1.39 (assume @p234 (forall @t377 (=> @t199 (=> @t397 @t425)))) % 1.13/1.39 (assume @p235 (forall @t326 (= @t316 @t437))) % 1.13/1.39 (assume @p236 (forall @t327 (= @t321 @t441))) % 1.13/1.39 (assume @p237 (forall @t326 (= @t438 @t310))) % 1.13/1.39 (assume @p238 (forall @t327 (= @t443 @t314))) % 1.13/1.39 (assume @p239 (forall @t203 (=> @t200 (=> @t202 @t92)))) % 1.13/1.39 (assume @p240 (forall @t207 (=> @t204 (=> @t206 @t199)))) % 1.13/1.39 (assume @p241 (forall @t326 (=> @t438 @t309))) % 1.13/1.39 (assume @p242 (forall @t327 (=> @t443 @t313))) % 1.13/1.39 (assume @p243 (forall @t326 (=> @t290 @t458))) % 1.13/1.39 (assume @p244 (forall @t327 (=> @t296 @t459))) % 1.13/1.39 (assume @p245 (forall @t326 (=> @t241 @t290))) % 1.13/1.39 (assume @p246 (forall @t327 (=> @t442 @t296))) % 1.13/1.39 (assume @p247 (forall @t242 (=> @t290 @t451))) % 1.13/1.39 (assume @p248 (forall @t297 (=> @t296 @t453))) % 1.13/1.39 (assume @p249 (forall @t242 (=> @t241 (=> @t236 @t450)))) % 1.13/1.39 (assume @p250 (forall @t297 (=> @t442 (=> @t295 @t452)))) % 1.13/1.39 (assume @p251 (forall (@list @t233 @t234) (=> (forall @t87 (=> (_ @t475 @t79) (_ @t235 @t79))) @t236))) % 1.13/1.39 (assume @p252 (forall (@list @t234 @t233) (=> (forall @t87 (=> (_ @t82 @t234) (_ @t111 @t233))) @t236))) % 1.13/1.39 (assume @p253 (forall @t326 (or @t290 @t437))) % 1.13/1.39 (assume @p254 (forall @t327 (or @t296 @t441))) % 1.13/1.39 (assume @p255 (forall @t326 (=> @t290 (or @t241 @t308)))) % 1.13/1.39 (assume @p256 (forall @t327 (=> @t296 (or @t442 @t312)))) % 1.13/1.39 (assume @p257 (= tptp.ord_less_real (lambda @t331 (and @t330 (not @t329))))) % 1.13/1.39 (assume @p258 (= tptp.ord_less_int (lambda @t335 (and @t334 (not @t333))))) % 1.13/1.39 (assume @p259 (forall @t311 (=> @t319 @t241))) % 1.13/1.39 (assume @p260 (forall @t315 (=> @t324 @t442))) % 1.13/1.39 (assume @p261 (forall @t300 (=> @t200 @t455))) % 1.13/1.39 (assume @p262 (forall @t303 (=> @t204 @t457))) % 1.13/1.39 (assume @p263 (forall @t300 (=> @t92 (=> @t304 @t454)))) % 1.13/1.39 (assume @p264 (forall @t303 (=> @t199 (=> @t306 @t456)))) % 1.13/1.39 (assume @p265 (= tptp.ord_less_eq_real (lambda @t253 (or (_ @t476 @t218) @t219)))) % 1.13/1.39 (assume @p266 (= tptp.ord_less_eq_int (lambda @t259 (or (_ (_ tptp.ord_less_int @t170) @t223) @t224)))) % 1.13/1.39 (assume @p267 (= tptp.ord_less_real (lambda @t253 (and @t252 @t220)))) % 1.13/1.39 (assume @p268 (= tptp.ord_less_int (lambda @t259 (and @t257 @t477)))) % 1.13/1.39 (assume @p269 (forall @t266 (=> @t209 @t463))) % 1.13/1.39 (assume @p270 (forall @t270 (=> @t214 @t466))) % 1.13/1.39 (assume @p271 (forall @t266 (=> @t211 (=> @t265 @t462)))) % 1.13/1.39 (assume @p272 (forall @t270 (=> @t216 (=> @t269 @t465)))) % 1.13/1.39 (assume @p273 (forall (@list @t233 @t16 @t234) (=> (_ @t475 @t16) (=> (forall @t240 (=> (_ @t475 @t237) (=> (_ @t238 @t16) (_ @t235 @t237)))) @t236)))) % 1.13/1.39 (assume @p274 (forall @t481 (exists @t447 (forall @t21 (=> @t480 (not @t479)))))) % 1.13/1.39 (assume @p275 (forall @t487 (exists @t486 (forall @t195 (=> @t485 (not @t483)))))) % 1.13/1.39 (assume @p276 (forall @t481 (exists @t447 (forall @t21 (=> @t480 @t488))))) % 1.13/1.39 (assume @p277 (forall @t487 (exists @t486 (forall @t195 (=> @t485 @t489))))) % 1.13/1.39 (assume @p278 (forall @t481 (exists @t447 (forall @t21 (=> @t490 @t479))))) % 1.13/1.39 (assume @p279 (forall @t487 (exists @t486 (forall @t195 (=> @t491 @t483))))) % 1.13/1.39 (assume @p280 (forall @t481 (exists @t447 (forall @t21 (=> @t490 (not @t488)))))) % 1.13/1.39 (assume @p281 (forall @t487 (exists @t486 (forall @t195 (=> @t491 (not @t489)))))) % 1.13/1.39 (assume @p282 (forall (@list @t492 @t493) (= (not (_ (_ tptp.ord_less_eq_real @t492) @t493)) (_ (_ tptp.ord_less_real @t493) @t492)))) % 1.13/1.39 (assume @p283 (forall (@list @t494 @t495) (= (not (_ (_ tptp.ord_less_eq_int @t494) @t495)) (_ (_ tptp.ord_less_int @t495) @t494)))) % 1.13/1.39 (assume @p284 (forall @t497 (= (_ (_ tptp.poly_cutoff_real @t496) tptp.zero_zero_poly_real) tptp.zero_zero_poly_real))) % 1.13/1.39 (assume @p285 (forall @t497 (= (_ (_ tptp.poly_cutoff_int @t496) tptp.zero_zero_poly_int) tptp.zero_zero_poly_int))) % 1.13/1.39 (assume @p286 (forall @t497 (= (_ (_ tptp.poly_c1404107022y_real @t496) tptp.zero_z1423781445y_real) tptp.zero_z1423781445y_real))) % 1.13/1.39 (assume @p287 (forall @t246 (=> (forall @t87 (=> @t113 @t161)) @t245))) % 1.13/1.39 (assume @p288 (forall (@list @t96 @t160 @t16) (=> @t245 (=> (_ @t498 @t96) (_ @t498 @t160))))) % 1.13/1.39 (assume @p289 (forall (@list @t96 @t160 @t263) (=> @t245 (=> (_ @t499 @t96) (_ @t499 @t160))))) % 1.13/1.39 (assume @p290 (= tptp.ord_less_eq_set_real (lambda @t503 (forall (@list @t500) (=> (_ @t501 @t502) (_ @t501 @t243)))))) % 1.13/1.39 (assume @p291 (forall @t30 (=> (forall @t87 (=> @t185 @t231)) @t504))) % 1.13/1.39 (assume @p292 (forall @t41 (=> (forall @t127 (=> @t190 @t232)) @t505))) % 1.13/1.39 (assume @p293 (forall (@list @t96 @t24) (_ (_ tptp.ord_less_eq_set_real (_ tptp.collect_real (lambda @t5 (and @t227 @t25)))) @t96))) % 1.13/1.39 (assume @p294 (forall (@list @t101 @t34) (_ (_ tptp.ord_less_eq_set_int (_ tptp.collect_int (lambda @t36 (and @t229 @t35)))) @t101))) % 1.13/1.39 (assume @p295 (= tptp.ord_less_eq_set_real (lambda @t503 (_ (_ tptp.ord_less_eq_real_o (lambda @t5 @t507)) (lambda @t5 @t506))))) % 1.13/1.39 (assume @p296 (forall @t30 (= @t504 (forall @t5 (=> @t25 @t23))))) % 1.13/1.39 (assume @p297 (forall @t41 (= @t505 (forall @t36 (=> @t35 @t33))))) % 1.13/1.39 (assume @p298 (forall @t203 (or @t201 (not @t200) (not @t209)))) % 1.13/1.39 (assume @p299 (forall @t207 (or @t205 (not @t204) (not @t214)))) % 1.13/1.39 (assume @p300 (forall @t519 (=> @t518 (=> @t516 (exists @t447 (forall @t21 (=> @t490 @t513))))))) % 1.13/1.39 (assume @p301 (forall @t533 (=> @t532 (=> @t530 (exists @t486 (forall @t195 (=> @t491 @t525))))))) % 1.13/1.39 (assume @p302 (forall @t519 (=> @t518 (=> @t516 (exists @t447 (forall @t21 (=> @t490 @t534))))))) % 1.13/1.39 (assume @p303 (forall @t533 (=> @t532 (=> @t530 (exists @t486 (forall @t195 (=> @t491 @t535))))))) % 1.13/1.39 (assume @p304 (forall @t481 (exists @t447 (forall @t21 (=> @t490 (not (= @t18 @t478))))))) % 1.13/1.39 (assume @p305 (forall @t487 (exists @t486 (forall @t195 (=> @t491 @t536))))) % 1.13/1.39 (assume @p306 (forall @t481 (exists @t447 (forall @t21 (=> @t490 (not (_ @t19 @t478))))))) % 1.13/1.39 (assume @p307 (forall @t487 (exists @t486 (forall @t195 (=> @t491 (not (_ @t194 @t482))))))) % 1.13/1.39 (assume @p308 (forall @t481 (exists @t447 (forall @t21 (=> @t490 (_ (_ tptp.ord_less_real @t478) @t18)))))) % 1.13/1.39 (assume @p309 (forall @t487 (exists @t486 (forall @t195 (=> @t491 (_ (_ tptp.ord_less_int @t482) @t192)))))) % 1.13/1.39 (assume @p310 (forall @t519 (=> @t539 (=> @t538 (exists @t447 (forall @t21 (=> @t480 @t513))))))) % 1.13/1.39 (assume @p311 (forall @t533 (=> @t542 (=> @t541 (exists @t486 (forall @t195 (=> @t485 @t525))))))) % 1.13/1.39 (assume @p312 (forall @t519 (=> @t539 (=> @t538 (exists @t447 (forall @t21 (=> @t480 @t534))))))) % 1.13/1.39 (assume @p313 (forall @t533 (=> @t542 (=> @t541 (exists @t486 (forall @t195 (=> @t485 @t535))))))) % 1.13/1.39 (assume @p314 (forall @t487 (exists @t486 (forall @t195 (=> @t485 @t536))))) % 1.13/1.39 (assume @p315 (forall @t549 (=> @t548 (=> @t547 (= (and @t546 @t460) (and @t545 @t543)))))) % 1.13/1.39 (assume @p316 (forall @t549 (=> @t548 (=> @t547 (= (=> @t546 @t460) (=> @t545 @t543)))))) % 1.13/1.39 (assume @p317 (forall (@list @t61 @t16 @t153) (=> (not (= (_ @t62 @t16) tptp.zero_zero_real)) (= (_ (_ @t550 @t61) @t16) tptp.zero_zero_int)))) % 1.13/1.39 (assume @p318 (forall (@list @t153 @t16) (= (_ (_ @t550 tptp.zero_zero_poly_real) @t16) tptp.zero_zero_int))) % 1.13/1.39 (assume @p319 (forall (@list @t61 @t16) (= (_ (_ (_ tptp.sturm_276991412p_poly tptp.zero_zero_poly_real) @t61) @t16) tptp.zero_zero_int))) % 1.13/1.39 (assume @p320 (forall (@list @t123 @t14) (or (_ @t133 @t14) (= @t123 @t14) (_ @t181 @t123)))) % 1.13/1.39 (assume @p321 (forall @t207 (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t554 (and @t553 @t552)))))) % 1.13/1.39 (assume @p322 (forall @t207 (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t554 (and @t553 @t555)))))) % 1.13/1.39 (assume @p323 (forall @t207 (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t554 (and @t556 @t555)))))) % 1.13/1.39 (assume @p324 (forall @t207 (_ tptp.finite_finite_int (_ tptp.collect_int (lambda @t554 (and @t556 @t552)))))) % 1.13/1.39 (assume @p325 (forall (@list @t84 @t81 @t153) (= (_ (_ @t557 @t153) tptp.zero_zero_poly_real) tptp.zero_zero_int))) % 1.13/1.39 (assume @p326 (forall @t93 (= (_ (_ @t557 tptp.zero_zero_poly_real) @t61) tptp.zero_zero_int))) % 1.13/1.39 (assume @p327 (forall @t93 (=> @t92 (=> (not (= @t90 tptp.zero_zero_real)) (=> (not (= @t89 tptp.zero_zero_real)) (= (_ (_ @t557 tptp.one_one_poly_real) @t61) @t182)))))) % 1.13/1.39 (assume @p328 (forall (@list @t291) (= (_ (_ tptp.ord_less_eq_int tptp.one_one_int) @t291) (_ @t94 @t291)))) % 1.13/1.39 (assume @p329 @t563) % 1.13/1.39 (assume @p330 true) % 1.13/1.39 (step @p331 (= tptp.ord_less_eq_real @t564) :rule refl :args (@t564)) % 1.13/1.39 (step @p332 (= tptp.ord_less_int @t565) :rule refl :args (@t565)) % 1.13/1.39 (step @p333 (= tptp.is_zero_real @t567) :rule refl :args (@t567)) % 1.13/1.39 (step @p334 (= tptp.is_zero_int @t569) :rule refl :args (@t569)) % 1.13/1.39 (step @p335 (= tptp.is_zero_poly_real @t571) :rule refl :args (@t571)) % 1.13/1.39 (step @p336 (= tptp.ord_less_eq_set_real @t572) :rule refl :args (@t572)) % 1.13/1.39 (step @p337 (= tptp.sturm_308542325x_poly @t574) :rule refl :args (@t574)) % 1.13/1.39 (step @p338 :rule evaluate :args ((= true false))) % 1.13/1.39 (step @p339 :rule refl :args ((tptp.finite_finite_real @t26))) % 1.13/1.39 (step @p340 :rule refl :args (@t575)) % 1.13/1.39 (step @p341 :rule cong :premises (@p340) :args (@t576)) % 1.13/1.39 (step @p342 :rule trans :premises (@p341 @p339)) % 1.13/1.39 (step @p343 :rule refl :args (tptp.finite_finite_real)) % 1.13/1.39 (step @p344 :rule ho_cong :premises (@p343 @p340)) % 1.13/1.39 (step @p345 :rule cong :premises (@p344 @p342) :args ((= (_ tptp.finite_finite_real @t575) @t576))) % 1.13/1.39 (step @p346 :rule symm :premises (@p345)) % 1.13/1.39 (step @p347 :rule refl :args (@t27)) % 1.13/1.39 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 1.13/1.39 (step @p349 :rule refl :args (@t26)) % 1.13/1.39 (step @p350 :rule cong :premises (@p349 @p340) :args ((= @t26 @t575))) % 1.13/1.39 (step @p351 :rule symm :premises (@p350)) % 1.13/1.39 (step @p352 :rule eq_resolve :premises (@p349 @p351)) % 1.13/1.39 (step @p353 :rule ho_cong :premises (@p343 @p352)) % 1.13/1.39 (step @p354 :rule trans :premises (@p353 @p348)) % 1.13/1.39 (step @p355 :rule refl :args ((tptp.finite_finite_real @t28))) % 1.13/1.39 (step @p356 :rule refl :args (@t577)) % 1.13/1.39 (step @p357 :rule cong :premises (@p356) :args (@t578)) % 1.13/1.39 (step @p358 :rule trans :premises (@p357 @p355)) % 1.13/1.39 (step @p359 :rule ho_cong :premises (@p343 @p356)) % 1.13/1.39 (step @p360 :rule cong :premises (@p359 @p358) :args ((= (_ tptp.finite_finite_real @t577) @t578))) % 1.13/1.39 (step @p361 :rule symm :premises (@p360)) % 1.13/1.39 (step @p362 :rule refl :args (@t29)) % 1.13/1.39 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 1.13/1.39 (step @p364 :rule refl :args (@t28)) % 1.13/1.39 (step @p365 :rule cong :premises (@p364 @p356) :args ((= @t28 @t577))) % 1.13/1.39 (step @p366 :rule symm :premises (@p365)) % 1.13/1.39 (step @p367 :rule eq_resolve :premises (@p364 @p366)) % 1.13/1.39 (step @p368 :rule ho_cong :premises (@p343 @p367)) % 1.13/1.39 (step @p369 :rule trans :premises (@p368 @p363)) % 1.13/1.39 (step @p370 :rule nary_cong :premises (@p369 @p354) :args (@t42)) % 1.13/1.39 (step @p371 :rule refl :args ((tptp.finite_finite_real @t45))) % 1.13/1.39 (step @p372 :rule refl :args ((tptp.collect_real @t44))) % 1.13/1.39 (step @p373 :rule refl :args (@t579)) % 1.13/1.39 (step @p374 :rule refl :args (@t580)) % 1.13/1.39 (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t581)) % 1.13/1.39 (step @p376 :rule cong :premises (@p375) :args (@t582)) % 1.13/1.39 (step @p377 :rule cong :premises (@p376) :args (@t583)) % 1.13/1.39 (step @p378 :rule trans :premises (@p377 @p372)) % 1.13/1.39 (step @p379 :rule cong :premises (@p378) :args (@t584)) % 1.13/1.39 (step @p380 :rule trans :premises (@p379 @p371)) % 1.13/1.39 (step @p381 :rule ho_cong :premises (@p343 @p378)) % 1.13/1.39 (step @p382 :rule cong :premises (@p381 @p380) :args ((= (_ tptp.finite_finite_real @t583) @t584))) % 1.13/1.39 (step @p383 :rule symm :premises (@p382)) % 1.13/1.39 (step @p384 :rule refl :args (@t46)) % 1.13/1.39 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 1.13/1.39 (step @p386 :rule refl :args (tptp.collect_real)) % 1.13/1.39 (step @p387 :rule ho_cong :premises (@p386 @p376)) % 1.13/1.39 (step @p388 :rule cong :premises (@p387 @p378) :args ((= (_ tptp.collect_real @t582) @t583))) % 1.13/1.39 (step @p389 :rule symm :premises (@p388)) % 1.13/1.39 (step @p390 :rule refl :args (@t45)) % 1.13/1.39 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 1.13/1.39 (step @p392 :rule refl :args (@t23)) % 1.13/1.39 (step @p393 :rule cong :premises (@p392 @p373) :args ((= @t23 @t579))) % 1.13/1.39 (step @p394 :rule symm :premises (@p393)) % 1.13/1.39 (step @p395 :rule eq_resolve :premises (@p392 @p394)) % 1.13/1.39 (step @p396 :rule refl :args (@t25)) % 1.13/1.39 (step @p397 :rule cong :premises (@p396 @p374) :args ((= @t25 @t580))) % 1.13/1.39 (step @p398 :rule symm :premises (@p397)) % 1.13/1.39 (step @p399 :rule eq_resolve :premises (@p396 @p398)) % 1.13/1.39 (step @p400 :rule nary_cong :premises (@p399 @p395) :args (@t43)) % 1.13/1.39 (step @p401 :rule cong :premises (@p400) :args (@t44)) % 1.13/1.39 (step @p402 :rule ho_cong :premises (@p386 @p401)) % 1.13/1.39 (step @p403 :rule trans :premises (@p402 @p391)) % 1.13/1.39 (step @p404 :rule ho_cong :premises (@p343 @p403)) % 1.13/1.39 (step @p405 :rule trans :premises (@p404 @p385)) % 1.13/1.39 (step @p406 :rule cong :premises (@p405 @p370) :args (@t47)) % 1.13/1.39 (step @p407 :rule cong :premises (@p406) :args (@t48)) % 1.13/1.39 (step @p408 :rule eq_resolve :premises (@p14 @p407)) % 1.13/1.39 (step @p409 :rule eq-symm :args (@t596 @t601)) % 1.13/1.39 (step @p410 :rule refl :args (@t601)) % 1.13/1.39 (step @p411 :rule eq-refl :args ((lambda @t5 (or @t603 @t602)))) % 1.13/1.39 (step @p412 :rule refl :args (@t1)) % 1.13/1.39 (step @p413 :rule skolem_intro :args (@t588)) % 1.13/1.39 (step @p414 :rule ho_cong :premises (@p413 @p412)) % 1.13/1.39 (step @p415 :rule skolem_intro :args (@t591)) % 1.13/1.39 (step @p416 :rule ho_cong :premises (@p415 @p412)) % 1.13/1.39 (step @p417 :rule nary_cong :premises (@p416 @p414) :args (@t593)) % 1.13/1.39 (step @p418 :rule cong :premises (@p417) :args (@t594)) % 1.13/1.39 (step @p419 :rule skolem_intro :args (@t595)) % 1.13/1.39 (step @p420 :rule trans :premises (@p419 @p418)) % 1.13/1.39 (step @p421 :rule cong :premises (@p418 @p420) :args ((= @t594 @t595))) % 1.13/1.39 (step @p422 :rule trans :premises (@p421 @p411)) % 1.13/1.39 (step @p423 :rule true_elim :premises (@p422)) % 1.13/1.39 (step @p424 :rule cong :premises (@p423) :args (@t604)) % 1.13/1.39 (step @p425 :rule cong :premises (@p424) :args (@t605)) % 1.13/1.39 (step @p426 :rule cong :premises (@p425 @p410) :args (@t606)) % 1.13/1.39 (step @p427 :rule trans :premises (@p426 @p409)) % 1.13/1.39 (step @p428 :rule refl :args (@t607)) % 1.13/1.39 (step @p429 :rule cong :premises (@p428 @p427) :args ((=> @t607 @t606))) % 1.13/1.39 (assume-push @p624 @t607) % 1.13/1.39 (step @p431 :rule instantiate :premises (@p408) :args ((@list @t591 @t588))) % 1.13/1.39 (step-pop @p625 :rule scope :premises (@p431)) % 1.13/1.39 (step @p432 :rule process_scope :premises (@p625) :args (@t606)) % 1.13/1.39 (step @p434 :rule eq_resolve :premises (@p432 @p429)) % 1.13/1.39 (step @p435 :rule implies_elim :premises (@p434)) % 1.13/1.39 (step @p436 :rule chain_m_resolution :premises (@p435 @p408) :args (@t608 @t609 (@list @t607))) % 1.13/1.39 (step @p437 :rule refl :args ((tptp.finite_finite_real @t610))) % 1.13/1.39 (step @p438 :rule refl :args (@t597)) % 1.13/1.39 (step @p439 :rule cong :premises (@p438) :args (@t598)) % 1.13/1.39 (step @p440 :rule trans :premises (@p439 @p437)) % 1.13/1.39 (step @p441 :rule ho_cong :premises (@p343 @p438)) % 1.13/1.39 (step @p442 :rule cong :premises (@p441 @p440) :args ((= (_ tptp.finite_finite_real @t597) @t598))) % 1.13/1.39 (step @p443 :rule symm :premises (@p442)) % 1.13/1.39 (step @p444 :rule refl :args ((_ tptp.finite_finite_real @t610))) % 1.13/1.39 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 1.13/1.39 (step @p446 :rule refl :args (@t610)) % 1.13/1.39 (step @p447 :rule cong :premises (@p446 @p438) :args ((= @t610 @t597))) % 1.13/1.39 (step @p448 :rule symm :premises (@p447)) % 1.13/1.39 (step @p449 :rule eq_resolve :premises (@p446 @p448)) % 1.13/1.39 (step @p450 :rule eq-refl :args (@t587)) % 1.13/1.39 (step @p451 :rule refl :args (@t587)) % 1.13/1.39 (step @p452 :rule cong :premises (@p451 @p413) :args ((= @t587 @t588))) % 1.13/1.39 (step @p453 :rule trans :premises (@p452 @p450)) % 1.13/1.39 (step @p454 :rule true_elim :premises (@p453)) % 1.13/1.39 (step @p455 :rule refl :args (tptp.collect_real)) % 1.13/1.39 (step @p456 :rule ho_cong :premises (@p455 @p454)) % 1.13/1.39 (step @p457 :rule trans :premises (@p456 @p449)) % 1.13/1.39 (step @p458 :rule refl :args (tptp.finite_finite_real)) % 1.13/1.39 (step @p459 :rule ho_cong :premises (@p458 @p457)) % 1.13/1.39 (step @p460 :rule trans :premises (@p459 @p445)) % 1.13/1.39 (step @p461 :rule cong :premises (@p460) :args ((not (_ tptp.finite_finite_real (_ tptp.collect_real @t587))))) % 1.13/1.39 (step @p462 :rule refl :args (@t559)) % 1.13/1.39 (step @p463 :rule refl :args (@t560)) % 1.13/1.39 (step @p464 :rule eq-symm :args (@t3 tptp.zero_zero_real)) % 1.13/1.39 (step @p465 :rule nary_cong :premises (@p464 @p463 @p462) :args (@t561)) % 1.13/1.39 (step @p466 :rule cong :premises (@p465) :args (@t562)) % 1.13/1.39 (step @p467 :rule ho_cong :premises (@p455 @p466)) % 1.13/1.39 (step @p468 :rule ho_cong :premises (@p458 @p467)) % 1.13/1.39 (step @p469 :rule cong :premises (@p468) :args (@t563)) % 1.13/1.39 (step @p470 :rule trans :premises (@p469 @p461)) % 1.13/1.39 (step @p471 :rule eq_resolve :premises (@p329 @p470)) % 1.13/1.39 (step @p472 :rule cnf_and_pos :args (@t601 1)) % 1.13/1.39 (step @p473 :rule reordering :premises (@p472) :args ((or @t598 @t611))) % 1.13/1.39 (step @p474 :rule chain_m_resolution :premises (@p473 @p471) :args (@t611 (@list true) (@list @t598))) % 1.13/1.39 (step @p475 :rule cnf_equiv_pos2 :args (@t608)) % 1.13/1.39 (step @p476 :rule reordering :premises (@p475) :args ((or @t601 @t612 (not @t608)))) % 1.13/1.39 (step @p477 :rule chain_m_resolution :premises (@p476 @p474 @p436) :args (@t612 (@list true false) (@list @t601 @t608))) % 1.13/1.39 (step @p478 :rule false_intro :premises (@p477)) % 1.13/1.39 (step @p479 :rule cnf_equiv_neg2 :args (@t616)) % 1.13/1.39 (step @p480 :rule cnf_or_neg :args (@t618 0)) % 1.13/1.39 (step @p481 :rule reordering :premises (@p480) :args ((or @t619 @t618))) % 1.13/1.39 (step @p482 :rule eq-symm :args (@t620 @t593)) % 1.13/1.39 (step @p483 :rule beta-reduce :args ((= @t621 @t593))) % 1.13/1.39 (step @p484 :rule refl :args (@t620)) % 1.13/1.39 (step @p485 :rule cong :premises (@p484 @p483) :args (@t622)) % 1.13/1.39 (step @p486 :rule trans :premises (@p485 @p482)) % 1.13/1.39 (step @p487 :rule cong :premises (@p486) :args (@t623)) % 1.13/1.39 (step @p488 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 1.13/1.39 (step @p489 :rule eq-refl :args (@t621)) % 1.13/1.39 (step @p490 :rule cong :premises (@p489) :args ((forall @t5 (= @t621 @t621)))) % 1.13/1.39 (step @p491 :rule trans :premises (@p490 @p488)) % 1.13/1.39 (step @p492 :rule refl :args (@t621)) % 1.13/1.39 (step @p493 :rule ho_cong :premises (@p419 @p412)) % 1.13/1.39 (step @p494 :rule cong :premises (@p493 @p492) :args (@t622)) % 1.13/1.39 (step @p495 :rule cong :premises (@p494) :args (@t623)) % 1.13/1.39 (step @p496 :rule trans :premises (@p495 @p491)) % 1.13/1.39 (step @p497 :rule true_elim :premises (@p496)) % 1.13/1.39 (step @p498 :rule eq_resolve :premises (@p497 @p487)) % 1.13/1.39 (step @p499 :rule eq-symm :args (@t618 @t614)) % 1.13/1.39 (step @p500 :rule refl :args (@t624)) % 1.13/1.39 (step @p501 :rule cong :premises (@p500 @p499) :args ((=> @t624 @t625))) % 1.13/1.39 (assume-push @p626 @t624) % 1.13/1.39 (step @p503 :rule instantiate :premises (@p498) :args (@t626)) % 1.13/1.39 (step-pop @p627 :rule scope :premises (@p503)) % 1.13/1.39 (step @p504 :rule process_scope :premises (@p627) :args (@t625)) % 1.13/1.39 (step @p506 :rule eq_resolve :premises (@p504 @p501)) % 1.13/1.39 (step @p507 :rule implies_elim :premises (@p506)) % 1.13/1.39 (step @p508 :rule chain_m_resolution :premises (@p507 @p498) :args (@t627 @t609 (@list @t624))) % 1.13/1.39 (step @p509 :rule cnf_equiv_pos2 :args (@t627)) % 1.13/1.39 (step @p510 :rule reordering :premises (@p509) :args ((or @t614 @t629 @t628))) % 1.13/1.39 (step @p511 :rule chain_m_resolution :premises (@p510 @p508 @p481 @p479) :args ((or @t616 @t619) (@list false false true) (@list @t627 @t618 @t614))) % 1.13/1.39 (step @p512 :rule cnf_equiv_neg1 :args (@t616)) % 1.13/1.39 (step @p513 :rule reordering :premises (@p512) :args ((or @t615 @t614 @t616))) % 1.13/1.39 (step @p514 :rule eq-symm :args (@t631 @t592)) % 1.13/1.39 (step @p515 :rule cong :premises (@p514) :args ((forall @t5 (= @t631 @t592)))) % 1.13/1.39 (step @p516 :rule refl :args (@t592)) % 1.13/1.39 (step @p517 :rule refl :args (@t630)) % 1.13/1.39 (step @p518 :rule refl :args (@t3)) % 1.13/1.39 (step @p519 :rule cong :premises (@p518 @p517) :args ((= @t3 @t630))) % 1.13/1.39 (step @p520 :rule symm :premises (@p519)) % 1.13/1.39 (step @p521 :rule eq_resolve :premises (@p518 @p520)) % 1.13/1.39 (step @p522 :rule refl :args (tptp.zero_zero_real)) % 1.13/1.39 (step @p523 :rule cong :premises (@p522 @p521) :args (@t585)) % 1.13/1.39 (step @p524 :rule cong :premises (@p523 @p516) :args (@t632)) % 1.13/1.39 (step @p525 :rule cong :premises (@p524) :args ((forall @t5 @t632))) % 1.13/1.39 (step @p526 :rule trans :premises (@p525 @p515)) % 1.13/1.39 (step @p527 :rule eq-symm :args (@t592 @t585)) % 1.13/1.39 (step @p528 :rule beta-reduce :args ((= @t603 @t585))) % 1.13/1.39 (step @p529 :rule refl :args (@t592)) % 1.13/1.39 (step @p530 :rule cong :premises (@p529 @p528) :args (@t633)) % 1.13/1.39 (step @p531 :rule trans :premises (@p530 @p527)) % 1.13/1.39 (step @p532 :rule cong :premises (@p531) :args (@t634)) % 1.13/1.39 (step @p533 :rule trans :premises (@p532 @p526)) % 1.13/1.39 (step @p534 :rule eq-refl :args (@t603)) % 1.13/1.39 (step @p535 :rule cong :premises (@p534) :args ((forall @t5 (= @t603 @t603)))) % 1.13/1.39 (step @p536 :rule trans :premises (@p535 @p488)) % 1.13/1.39 (step @p537 :rule refl :args (@t603)) % 1.13/1.39 (step @p538 :rule cong :premises (@p416 @p537) :args (@t633)) % 1.13/1.39 (step @p539 :rule cong :premises (@p538) :args (@t634)) % 1.13/1.39 (step @p540 :rule trans :premises (@p539 @p536)) % 1.13/1.39 (step @p541 :rule true_elim :premises (@p540)) % 1.13/1.39 (step @p542 :rule eq_resolve :premises (@p541 @p533)) % 1.13/1.39 (step @p543 :rule instantiate :premises (@p542) :args (@t626)) % 1.13/1.39 (step @p544 :rule cnf_equiv_pos2 :args (@t636)) % 1.13/1.39 (step @p545 :rule reordering :premises (@p544) :args ((or @t615 (not @t635) (not @t636)))) % 1.13/1.39 (step @p546 :rule cnf_equiv_pos1 :args (@t627)) % 1.13/1.39 (step @p547 :rule reordering :premises (@p546) :args ((or (not @t614) @t618 @t628))) % 1.13/1.39 (step @p548 :rule cnf_and_pos :args (@t637 0)) % 1.13/1.39 (step @p549 :rule reordering :premises (@p548) :args ((or @t635 (not @t637)))) % 1.13/1.39 (step @p550 :rule cnf_or_pos :args (@t618)) % 1.13/1.39 (step @p551 :rule reordering :premises (@p550) :args ((or @t615 @t617 @t629))) % 1.13/1.39 (step @p552 :rule eq-symm :args (@t640 @t589)) % 1.13/1.39 (step @p553 :rule cong :premises (@p552) :args ((forall @t5 (= @t640 @t589)))) % 1.13/1.39 (step @p554 :rule refl :args (@t589)) % 1.13/1.39 (step @p555 :rule refl :args (@t638)) % 1.13/1.39 (step @p556 :rule refl :args (@t559)) % 1.13/1.39 (step @p557 :rule cong :premises (@p556 @p555) :args ((= @t559 @t638))) % 1.13/1.39 (step @p558 :rule symm :premises (@p557)) % 1.13/1.39 (step @p559 :rule eq_resolve :premises (@p556 @p558)) % 1.13/1.40 (step @p560 :rule refl :args (@t639)) % 1.13/1.40 (step @p561 :rule refl :args (@t560)) % 1.13/1.40 (step @p562 :rule cong :premises (@p561 @p560) :args ((= @t560 @t639))) % 1.13/1.40 (step @p563 :rule symm :premises (@p562)) % 1.13/1.40 (step @p564 :rule eq_resolve :premises (@p561 @p563)) % 1.13/1.40 (step @p565 :rule nary_cong :premises (@p523 @p564 @p559) :args (@t586)) % 1.13/1.40 (step @p566 :rule cong :premises (@p565 @p554) :args (@t641)) % 1.13/1.40 (step @p567 :rule cong :premises (@p566) :args ((forall @t5 @t641))) % 1.13/1.40 (step @p568 :rule trans :premises (@p567 @p553)) % 1.13/1.40 (step @p569 :rule eq-symm :args (@t589 @t586)) % 1.13/1.40 (step @p570 :rule beta-reduce :args ((= @t602 @t586))) % 1.13/1.40 (step @p571 :rule refl :args (@t589)) % 1.13/1.40 (step @p572 :rule cong :premises (@p571 @p570) :args (@t642)) % 1.13/1.40 (step @p573 :rule trans :premises (@p572 @p569)) % 1.13/1.40 (step @p574 :rule cong :premises (@p573) :args (@t643)) % 1.13/1.40 (step @p575 :rule trans :premises (@p574 @p568)) % 1.13/1.40 (step @p576 :rule eq-refl :args (@t602)) % 1.13/1.40 (step @p577 :rule cong :premises (@p576) :args ((forall @t5 (= @t602 @t602)))) % 1.13/1.40 (step @p578 :rule trans :premises (@p577 @p488)) % 1.13/1.40 (step @p579 :rule refl :args (@t602)) % 1.13/1.40 (step @p580 :rule cong :premises (@p414 @p579) :args (@t642)) % 1.13/1.40 (step @p581 :rule cong :premises (@p580) :args (@t643)) % 1.13/1.40 (step @p582 :rule trans :premises (@p581 @p578)) % 1.13/1.40 (step @p583 :rule true_elim :premises (@p582)) % 1.13/1.40 (step @p584 :rule eq_resolve :premises (@p583 @p575)) % 1.13/1.40 (step @p585 :rule instantiate :premises (@p584) :args (@t626)) % 1.13/1.40 (step @p586 :rule cnf_equiv_pos1 :args (@t644)) % 1.13/1.40 (step @p587 :rule reordering :premises (@p586) :args ((or (not @t617) @t637 (not @t644)))) % 1.13/1.40 (step @p588 :rule chain_m_resolution :premises (@p587 @p585 @p551 @p549 @p547 @p508 @p545 @p543 @p513 @p511) :args (@t616 (@list false false true false false true false false true) (@list @t644 @t617 @t637 @t618 @t627 @t635 @t636 @t614 @t615))) % 1.13/1.40 ; WARNING: add trust step for TRUST % 1.13/1.40 ; trust TRUST THEORY_LEMMA % 1.13/1.40 (step @p589 :rule trust :premises () :args ((or @t645 (not @t616)))) % 1.13/1.40 (step @p590 :rule chain_m_resolution :premises (@p589 @p588) :args (@t645 @t609 (@list @t616))) % 1.13/1.40 (step @p591 :rule cong :premises (@p590) :args (@t599)) % 1.13/1.40 (step @p592 :rule cong :premises (@p591) :args (@t600)) % 1.13/1.40 (step @p593 :rule refl :args ((tptp.finite_finite_real @t646))) % 1.13/1.40 (step @p594 :rule refl :args (@t599)) % 1.13/1.40 (step @p595 :rule cong :premises (@p594) :args (@t600)) % 1.13/1.40 (step @p596 :rule trans :premises (@p595 @p593)) % 1.13/1.40 (step @p597 :rule ho_cong :premises (@p343 @p594)) % 1.13/1.40 (step @p598 :rule cong :premises (@p597 @p596) :args ((= (_ tptp.finite_finite_real @t599) @t600))) % 1.13/1.40 (step @p599 :rule symm :premises (@p598)) % 1.13/1.40 (step @p600 :rule refl :args ((_ tptp.finite_finite_real @t646))) % 1.13/1.40 (step @p601 :rule eq_resolve :premises (@p600 @p599)) % 1.13/1.40 (step @p602 :rule refl :args (@t646)) % 1.13/1.40 (step @p603 :rule cong :premises (@p602 @p594) :args ((= @t646 @t599))) % 1.13/1.40 (step @p604 :rule symm :premises (@p603)) % 1.13/1.40 (step @p605 :rule eq_resolve :premises (@p602 @p604)) % 1.13/1.40 (step @p606 :rule eq-refl :args (@t590)) % 1.13/1.40 (step @p607 :rule refl :args (@t590)) % 1.13/1.40 (step @p608 :rule cong :premises (@p607 @p415) :args ((= @t590 @t591))) % 1.13/1.40 (step @p609 :rule trans :premises (@p608 @p606)) % 1.13/1.40 (step @p610 :rule true_elim :premises (@p609)) % 1.13/1.40 (step @p611 :rule ho_cong :premises (@p455 @p610)) % 1.13/1.40 (step @p612 :rule trans :premises (@p611 @p605)) % 1.13/1.40 (step @p613 :rule ho_cong :premises (@p458 @p612)) % 1.13/1.40 (step @p614 :rule trans :premises (@p613 @p601)) % 1.13/1.40 (step @p615 :rule cong :premises (@p464) :args (@t6)) % 1.13/1.40 (step @p616 :rule ho_cong :premises (@p455 @p615)) % 1.13/1.40 (step @p617 :rule ho_cong :premises (@p458 @p616)) % 1.13/1.40 (step @p618 :rule trans :premises (@p617 @p614)) % 1.13/1.40 (step @p619 :rule eq_resolve :premises (@p1 @p618)) % 1.13/1.40 (step @p620 :rule true_intro :premises (@p619)) % 1.13/1.40 (step @p621 :rule symm :premises (@p620)) % 1.13/1.40 (step @p622 :rule trans :premises (@p621 @p592 @p478)) % 1.13/1.40 (step @p623 false :rule eq_resolve :premises (@p622 @p338)) % 1.13/1.40 ) % 1.13/1.40 % SZS output end Proof % 0.46/1.40 % cvc5 exiting %------------------------------------------------------------------------------