%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP096^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:25:02 AM UTC 2026 % Result : Theorem 157.65s 157.92s % Output : Proof 157.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ITP096^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 04:14:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.37 %----Proving TH0 % 157.65/157.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 157.65/157.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 157.65/157.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 157.65/157.92 --- Run --ho-elim --full-saturate-quant at 18s... % 157.65/157.92 % SZS status Theorem % 157.65/157.92 % SZS output start Proof % 157.65/157.92 ( % 157.65/157.92 (declare-sort tptp.real 0) % 157.65/157.92 (declare-sort tptp.set_real 0) % 157.65/157.92 (declare-sort tptp.nat 0) % 157.65/157.92 (declare-sort tptp.int 0) % 157.65/157.92 (declare-const tptp.ring_1_of_int_real (-> tptp.int tptp.real)) % 157.65/157.92 (declare-const tptp.power_power_real (-> tptp.real tptp.nat tptp.real)) % 157.65/157.92 (declare-const tptp.one_one_real tptp.real) % 157.65/157.92 (declare-const tptp.divide_divide_real (-> tptp.real tptp.real tptp.real)) % 157.65/157.92 (declare-const tptp.minus_minus_real (-> tptp.real tptp.real tptp.real)) % 157.65/157.92 (declare-const tptp.abs_abs_real (-> tptp.real tptp.real)) % 157.65/157.92 (declare-const tptp.ord_less_real (-> tptp.real tptp.real Bool)) % 157.65/157.92 (declare-const tptp.one_one_int tptp.int) % 157.65/157.92 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 157.65/157.92 (declare-const tptp.zero_zero_real tptp.real) % 157.65/157.92 (declare-const tptp.times_times_int (-> tptp.int tptp.int tptp.int)) % 157.65/157.92 (declare-const tptp.times_times_real (-> tptp.real tptp.real tptp.real)) % 157.65/157.92 (declare-const tptp.r tptp.nat) % 157.65/157.92 (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat)) % 157.65/157.92 (declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat)) % 157.65/157.92 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 157.65/157.92 (declare-const tptp.divide_divide_int (-> tptp.int tptp.int tptp.int)) % 157.65/157.92 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 157.65/157.92 (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int)) % 157.65/157.92 (declare-const tptp.minus_minus_int (-> tptp.int tptp.int tptp.int)) % 157.65/157.92 (declare-const tptp.abs_abs_int (-> tptp.int tptp.int)) % 157.65/157.92 (declare-const tptp.divide_divide_nat (-> tptp.nat tptp.nat tptp.nat)) % 157.65/157.92 (declare-const tptp.one_one_nat tptp.nat) % 157.65/157.92 (declare-const tptp.x tptp.real) % 157.65/157.92 (declare-const tptp.algebraic_real (-> tptp.real Bool)) % 157.65/157.92 (declare-const tptp.q (-> tptp.nat tptp.int)) % 157.65/157.92 (declare-const tptp.p (-> tptp.nat tptp.int)) % 157.65/157.92 (declare-const tptp.field_1537545994s_real tptp.set_real) % 157.65/157.92 (declare-const tptp.m tptp.nat) % 157.65/157.92 (declare-const tptp.ring_1_of_int_int (-> tptp.int tptp.int)) % 157.65/157.92 (declare-const tptp.n tptp.nat) % 157.65/157.92 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 157.65/157.92 (declare-const tptp.zero_zero_int tptp.int) % 157.65/157.92 (declare-const tptp.c tptp.real) % 157.65/157.92 (declare-const tptp.zero_zero_nat tptp.nat) % 157.65/157.92 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 157.65/157.92 (define tptp.liouvi1159869758uville () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "Q3" (-> tptp.nat tptp.int)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (_ tptp.ring_1_of_int_real _let_3))) (let ((_let_5 (@var "P4" (-> tptp.nat tptp.int)))) (let ((_let_6 (@var "X2" tptp.real))) (let ((_let_7 (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real _let_6) (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real (_ _let_5 _let_1))) _let_4))))) (let ((_let_8 (@list _let_1))) (lambda (@list _let_6 _let_5 _let_2) (and (forall _let_8 (_ (_ tptp.ord_less_real tptp.zero_zero_real) _let_7)) (forall _let_8 (_ (_ tptp.ord_less_int tptp.one_one_int) _let_3)) (forall _let_8 (_ (_ tptp.ord_less_real _let_7) (_ (_ tptp.divide_divide_real tptp.one_one_real) (_ (_ tptp.power_power_real _let_4) _let_1))))))))))))))) % 157.65/157.92 (define @t1 () (@var "N" tptp.nat)) % 157.65/157.92 (define @t2 () (_ tptp.q @t1)) % 157.65/157.92 (define @t3 () (_ tptp.ord_less_int tptp.one_one_int)) % 157.65/157.92 (define @t4 () (@list @t1)) % 157.65/157.92 (define @t5 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 157.65/157.92 (define @t6 () (_ tptp.q tptp.m)) % 157.65/157.92 (define @t7 () (_ @t3 @t6)) % 157.65/157.92 (define @t8 () (@var "Q" (-> tptp.nat tptp.int))) % 157.65/157.92 (define @t9 () (_ @t8 @t1)) % 157.65/157.92 (define @t10 () (@var "P" (-> tptp.nat tptp.int))) % 157.65/157.92 (define @t11 () (@var "X" tptp.real)) % 157.65/157.92 (define @t12 () (_ (_ (_ tptp.liouvi1159869758uville @t11) @t10) @t8)) % 157.65/157.92 (define @t13 () (@list @t11 @t10 @t8 @t1)) % 157.65/157.92 (define @t14 () (_ (_ tptp.member_real @t11) tptp.field_1537545994s_real)) % 157.65/157.92 (define @t15 () (not @t14)) % 157.65/157.92 (define @t16 () (@list @t11 @t10 @t8)) % 157.65/157.92 (define @t17 () (_ tptp.ring_1_of_int_real @t6)) % 157.65/157.92 (define @t18 () (_ tptp.power_power_real @t17)) % 157.65/157.92 (define @t19 () (_ @t18 tptp.n)) % 157.65/157.92 (define @t20 () (_ tptp.divide_divide_real tptp.c)) % 157.65/157.92 (define @t21 () (_ @t20 @t19)) % 157.65/157.92 (define @t22 () (_ tptp.minus_minus_real tptp.x)) % 157.65/157.92 (define @t23 () (_ tptp.abs_abs_real (_ @t22 (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real (_ tptp.p tptp.m))) @t17)))) % 157.65/157.92 (define @t24 () (_ tptp.ord_less_real @t23)) % 157.65/157.92 (define @t25 () (_ @t24 @t21)) % 157.65/157.92 (define @t26 () (_ (_ tptp.ord_less_real @t21) @t23)) % 157.65/157.92 (define @t27 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 157.65/157.92 (define @t28 () (=> (_ @t27 @t6) @t26)) % 157.65/157.92 (define @t29 () (_ tptp.ring_1_of_int_real @t2)) % 157.65/157.92 (define @t30 () (_ tptp.abs_abs_real (_ @t22 (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real (_ tptp.p @t1))) @t29)))) % 157.65/157.92 (define @t31 () (= @t1 tptp.zero_zero_nat)) % 157.65/157.92 (define @t32 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 157.65/157.92 (define @t33 () (_ @t32 @t1)) % 157.65/157.92 (define @t34 () (@var "Z" tptp.int)) % 157.65/157.92 (define @t35 () (_ @t3 @t34)) % 157.65/157.92 (define @t36 () (_ tptp.ring_1_of_int_int @t34)) % 157.65/157.92 (define @t37 () (@list @t34)) % 157.65/157.92 (define @t38 () (_ tptp.ring_1_of_int_real @t34)) % 157.65/157.92 (define @t39 () (_ tptp.ord_less_real tptp.one_one_real)) % 157.65/157.92 (define @t40 () (_ tptp.ord_less_int @t34)) % 157.65/157.92 (define @t41 () (_ @t40 tptp.one_one_int)) % 157.65/157.92 (define @t42 () (_ tptp.ord_less_int @t36)) % 157.65/157.92 (define @t43 () (_ tptp.ord_less_real @t38)) % 157.65/157.92 (define @t44 () (_ tptp.ord_less_nat tptp.one_one_nat)) % 157.65/157.92 (define @t45 () (@var "A" tptp.real)) % 157.65/157.92 (define @t46 () (_ tptp.abs_abs_real @t45)) % 157.65/157.92 (define @t47 () (@list @t45)) % 157.65/157.92 (define @t48 () (@var "A" tptp.int)) % 157.65/157.92 (define @t49 () (_ tptp.abs_abs_int @t48)) % 157.65/157.92 (define @t50 () (@list @t48)) % 157.65/157.92 (define @t51 () (@var "W" tptp.int)) % 157.65/157.92 (define @t52 () (_ tptp.ring_1_of_int_real @t51)) % 157.65/157.92 (define @t53 () (@list @t51 @t34)) % 157.65/157.92 (define @t54 () (_ tptp.minus_minus_real @t45)) % 157.65/157.92 (define @t55 () (_ tptp.minus_minus_int @t48)) % 157.65/157.92 (define @t56 () (@var "A" tptp.nat)) % 157.65/157.92 (define @t57 () (_ tptp.minus_minus_nat @t56)) % 157.65/157.92 (define @t58 () (@list @t56)) % 157.65/157.92 (define @t59 () (_ tptp.minus_minus_nat tptp.zero_zero_nat)) % 157.65/157.92 (define @t60 () (_ tptp.divide_divide_real @t45)) % 157.65/157.92 (define @t61 () (_ tptp.divide_divide_nat @t56)) % 157.65/157.92 (define @t62 () (_ tptp.divide_divide_int @t48)) % 157.65/157.92 (define @t63 () (= @t45 tptp.zero_zero_real)) % 157.65/157.92 (define @t64 () (= @t48 tptp.zero_zero_int)) % 157.65/157.92 (define @t65 () (_ (_ tptp.minus_minus_int @t51) @t34)) % 157.65/157.92 (define @t66 () (_ tptp.ring_1_of_int_int @t51)) % 157.65/157.92 (define @t67 () (@var "W" tptp.nat)) % 157.65/157.92 (define @t68 () (@var "B" tptp.int)) % 157.65/157.92 (define @t69 () (_ tptp.power_power_int @t68)) % 157.65/157.92 (define @t70 () (_ @t69 @t67)) % 157.65/157.92 (define @t71 () (@var "X" tptp.int)) % 157.65/157.92 (define @t72 () (_ (_ tptp.power_power_real (_ tptp.ring_1_of_int_real @t68)) @t67)) % 157.65/157.92 (define @t73 () (_ tptp.ring_1_of_int_real @t71)) % 157.65/157.92 (define @t74 () (@list @t71 @t68 @t67)) % 157.65/157.92 (define @t75 () (@list @t68 @t67 @t71)) % 157.65/157.92 (define @t76 () (_ tptp.ring_1_of_int_int @t71)) % 157.65/157.92 (define @t77 () (_ tptp.abs_abs_int @t71)) % 157.65/157.92 (define @t78 () (@list @t71)) % 157.65/157.92 (define @t79 () (@var "Q2" tptp.int)) % 157.65/157.92 (define @t80 () (_ tptp.ring_1_of_int_real @t79)) % 157.65/157.92 (define @t81 () (@var "P2" tptp.int)) % 157.65/157.92 (define @t82 () (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real @t81)) @t80)) % 157.65/157.92 (define @t83 () (@var "N2" tptp.nat)) % 157.65/157.92 (define @t84 () (@var "C" tptp.real)) % 157.65/157.92 (define @t85 () (_ tptp.ord_less_real (_ (_ tptp.divide_divide_real @t84) (_ (_ tptp.power_power_real @t80) @t83)))) % 157.65/157.92 (define @t86 () (_ @t27 @t79)) % 157.65/157.92 (define @t87 () (@list @t81 @t79)) % 157.65/157.92 (define @t88 () (@list @t83)) % 157.65/157.92 (define @t89 () (_ @t5 @t84)) % 157.65/157.92 (define @t90 () (@list @t84)) % 157.65/157.92 (define @t91 () (_ tptp.ord_less_int @t68)) % 157.65/157.92 (define @t92 () (_ @t91 @t48)) % 157.65/157.92 (define @t93 () (_ @t55 @t68)) % 157.65/157.92 (define @t94 () (@list @t48 @t68)) % 157.65/157.92 (define @t95 () (@var "B" tptp.real)) % 157.65/157.92 (define @t96 () (_ tptp.ord_less_real @t95)) % 157.65/157.92 (define @t97 () (_ @t96 @t45)) % 157.65/157.92 (define @t98 () (_ @t54 @t95)) % 157.65/157.92 (define @t99 () (_ @t5 @t98)) % 157.65/157.92 (define @t100 () (= @t99 @t97)) % 157.65/157.92 (define @t101 () (@list @t45 @t95)) % 157.65/157.92 (define @t102 () (forall @t101 @t100)) % 157.65/157.92 (define @t103 () (_ (_ tptp.minus_minus_int tptp.one_one_int) tptp.one_one_int)) % 157.65/157.92 (define @t104 () (_ @t60 @t45)) % 157.65/157.92 (define @t105 () (not @t63)) % 157.65/157.92 (define @t106 () (=> @t105 (= @t104 tptp.one_one_real))) % 157.65/157.92 (define @t107 () (= @t56 tptp.zero_zero_nat)) % 157.65/157.92 (define @t108 () (not @t107)) % 157.65/157.92 (define @t109 () (not @t64)) % 157.65/157.92 (define @t110 () (@var "P3" (-> tptp.real Bool))) % 157.65/157.92 (define @t111 () (@var "A2" tptp.set_real)) % 157.65/157.92 (define @t112 () (@var "X2" tptp.real)) % 157.65/157.92 (define @t113 () (= @t34 tptp.zero_zero_int)) % 157.65/157.92 (define @t114 () (_ (_ tptp.ord_less_int @t51) @t34)) % 157.65/157.92 (define @t115 () (= @t34 tptp.one_one_int)) % 157.65/157.92 (define @t116 () (_ tptp.ring_1_of_int_real tptp.one_one_int)) % 157.65/157.92 (define @t117 () (_ tptp.divide_divide_real tptp.one_one_real)) % 157.65/157.92 (define @t118 () (_ @t117 (_ @t18 tptp.m))) % 157.65/157.92 (define @t119 () (@var "Q" tptp.int)) % 157.65/157.92 (define @t120 () (_ tptp.ring_1_of_int_real @t119)) % 157.65/157.92 (define @t121 () (@var "P" tptp.int)) % 157.65/157.92 (define @t122 () (_ tptp.ord_less_int @t71)) % 157.65/157.92 (define @t123 () (_ @t122 @t70)) % 157.65/157.92 (define @t124 () (_ (_ tptp.power_power_int (_ tptp.ring_1_of_int_int @t68)) @t67)) % 157.65/157.92 (define @t125 () (_ (_ tptp.ord_less_int @t70) @t71)) % 157.65/157.92 (define @t126 () (_ @t40 tptp.zero_zero_int)) % 157.65/157.92 (define @t127 () (_ @t27 @t34)) % 157.65/157.92 (define @t128 () (_ @t27 @t36)) % 157.65/157.92 (define @t129 () (_ @t5 @t38)) % 157.65/157.92 (define @t130 () (_ tptp.minus_minus_real @t95)) % 157.65/157.92 (define @t131 () (_ @t130 @t45)) % 157.65/157.92 (define @t132 () (_ tptp.abs_abs_real @t131)) % 157.65/157.92 (define @t133 () (_ tptp.abs_abs_real @t98)) % 157.65/157.92 (define @t134 () (= @t133 @t132)) % 157.65/157.92 (define @t135 () (forall @t101 @t134)) % 157.65/157.92 (define @t136 () (_ tptp.minus_minus_int @t68)) % 157.65/157.92 (define @t137 () (@var "C2" tptp.real)) % 157.65/157.92 (define @t138 () (_ @t54 @t137)) % 157.65/157.92 (define @t139 () (@list @t45 @t137 @t95)) % 157.65/157.92 (define @t140 () (@var "C2" tptp.int)) % 157.65/157.92 (define @t141 () (_ @t55 @t140)) % 157.65/157.92 (define @t142 () (@list @t48 @t140 @t68)) % 157.65/157.92 (define @t143 () (@var "C2" tptp.nat)) % 157.65/157.92 (define @t144 () (@var "B" tptp.nat)) % 157.65/157.92 (define @t145 () (@list @t56 @t143 @t144)) % 157.65/157.92 (define @t146 () (@var "D" tptp.real)) % 157.65/157.92 (define @t147 () (= @t45 @t95)) % 157.65/157.92 (define @t148 () (_ tptp.minus_minus_real @t137)) % 157.65/157.92 (define @t149 () (= @t98 (_ @t148 @t146))) % 157.65/157.92 (define @t150 () (@list @t45 @t95 @t137 @t146)) % 157.65/157.92 (define @t151 () (@var "D" tptp.int)) % 157.65/157.92 (define @t152 () (= @t48 @t68)) % 157.65/157.92 (define @t153 () (_ tptp.minus_minus_int @t140)) % 157.65/157.92 (define @t154 () (= @t93 (_ @t153 @t151))) % 157.65/157.92 (define @t155 () (@list @t48 @t68 @t140 @t151)) % 157.65/157.92 (define @t156 () (_ tptp.ring_1_of_int_real @t9)) % 157.65/157.92 (define @t157 () (_ tptp.minus_minus_real @t11)) % 157.65/157.92 (define @t158 () (_ tptp.abs_abs_real (_ @t157 (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real (_ @t10 @t1))) @t156)))) % 157.65/157.92 (define @t159 () (@var "B2" tptp.real)) % 157.65/157.92 (define @t160 () (@var "A3" tptp.real)) % 157.65/157.92 (define @t161 () (_ (_ tptp.minus_minus_real @t160) @t159)) % 157.65/157.92 (define @t162 () (@list @t160 @t159)) % 157.65/157.92 (define @t163 () (@var "Z2" tptp.real)) % 157.65/157.92 (define @t164 () (@var "Y" tptp.real)) % 157.65/157.92 (define @t165 () (@var "B2" tptp.int)) % 157.65/157.92 (define @t166 () (@var "A3" tptp.int)) % 157.65/157.92 (define @t167 () (_ (_ tptp.minus_minus_int @t166) @t165)) % 157.65/157.92 (define @t168 () (@list @t166 @t165)) % 157.65/157.92 (define @t169 () (@var "Z2" tptp.int)) % 157.65/157.92 (define @t170 () (@var "Y" tptp.int)) % 157.65/157.92 (define @t171 () (_ tptp.ord_less_int @t141)) % 157.65/157.92 (define @t172 () (_ tptp.ord_less_int @t48)) % 157.65/157.92 (define @t173 () (_ @t172 @t68)) % 157.65/157.92 (define @t174 () (_ tptp.ord_less_real @t138)) % 157.65/157.92 (define @t175 () (_ tptp.ord_less_real @t45)) % 157.65/157.92 (define @t176 () (_ @t175 @t95)) % 157.65/157.92 (define @t177 () (@list @t45 @t95 @t137)) % 157.65/157.92 (define @t178 () (@list @t95 @t45 @t137)) % 157.65/157.92 (define @t179 () (_ tptp.ord_less_real @t137)) % 157.65/157.92 (define @t180 () (_ @t136 @t151)) % 157.65/157.92 (define @t181 () (_ @t171 @t180)) % 157.65/157.92 (define @t182 () (_ (_ tptp.ord_less_int @t151) @t140)) % 157.65/157.92 (define @t183 () (=> @t182 @t181)) % 157.65/157.92 (define @t184 () (@list @t48 @t68 @t151 @t140)) % 157.65/157.92 (define @t185 () (forall @t184 (=> @t173 @t183))) % 157.65/157.92 (define @t186 () (@var "N" tptp.int)) % 157.65/157.92 (define @t187 () (= @t186 tptp.zero_zero_int)) % 157.65/157.92 (define @t188 () (_ @t39 @t11)) % 157.65/157.92 (define @t189 () (_ @t8 @t83)) % 157.65/157.92 (define @t190 () (_ tptp.ring_1_of_int_real @t189)) % 157.65/157.92 (define @t191 () (_ tptp.abs_abs_real (_ @t157 (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real (_ @t10 @t83))) @t190)))) % 157.65/157.92 (define @t192 () (= @t11 tptp.zero_zero_real)) % 157.65/157.92 (define @t193 () (@list @t11)) % 157.65/157.92 (define @t194 () (@var "X" tptp.nat)) % 157.65/157.92 (define @t195 () (@list @t194)) % 157.65/157.92 (define @t196 () (@var "Y2" tptp.int)) % 157.65/157.92 (define @t197 () (@var "Y2" tptp.real)) % 157.65/157.92 (define @t198 () (_ tptp.ord_less_real @t197)) % 157.65/157.92 (define @t199 () (_ tptp.ord_less_real @t11)) % 157.65/157.92 (define @t200 () (_ @t199 @t197)) % 157.65/157.92 (define @t201 () (@list @t11 @t197)) % 157.65/157.92 (define @t202 () (_ (_ tptp.ord_less_real @t46) tptp.zero_zero_real)) % 157.65/157.92 (define @t203 () (not @t202)) % 157.65/157.92 (define @t204 () (forall @t47 @t203)) % 157.65/157.92 (define @t205 () (_ @t27 @t48)) % 157.65/157.92 (define @t206 () (_ @t5 @t45)) % 157.65/157.92 (define @t207 () (=> @t206 (= @t46 @t45))) % 157.65/157.92 (define @t208 () (forall @t47 @t207)) % 157.65/157.92 (define @t209 () (_ tptp.ord_less_int @t167)) % 157.65/157.92 (define @t210 () (lambda @t168 (_ @t209 tptp.zero_zero_int))) % 157.65/157.92 (define @t211 () (= tptp.ord_less_int @t210)) % 157.65/157.92 (define @t212 () (_ tptp.ord_less_real @t161)) % 157.65/157.92 (define @t213 () (lambda @t162 (_ @t212 tptp.zero_zero_real))) % 157.65/157.92 (define @t214 () (= tptp.ord_less_real @t213)) % 157.65/157.92 (define @t215 () (not @t31)) % 157.65/157.92 (define @t216 () (@var "M" tptp.nat)) % 157.65/157.92 (define @t217 () (_ tptp.ord_less_nat @t216)) % 157.65/157.92 (define @t218 () (_ @t217 @t1)) % 157.65/157.92 (define @t219 () (@list @t216 @t1)) % 157.65/157.92 (define @t220 () (_ tptp.ord_less_nat @t1)) % 157.65/157.92 (define @t221 () (_ (_ tptp.power_power_int @t49) @t1)) % 157.65/157.92 (define @t222 () (@list @t48 @t1)) % 157.65/157.92 (define @t223 () (_ (_ tptp.power_power_real @t46) @t1)) % 157.65/157.92 (define @t224 () (@list @t45 @t1)) % 157.65/157.92 (define @t225 () (_ @t220 @t216)) % 157.65/157.92 (define @t226 () (_ tptp.power_power_real @t95)) % 157.65/157.92 (define @t227 () (_ @t226 @t1)) % 157.65/157.92 (define @t228 () (_ @t5 @t95)) % 157.65/157.92 (define @t229 () (_ tptp.power_power_nat @t144)) % 157.65/157.92 (define @t230 () (_ @t117 @t45)) % 157.65/157.92 (define @t231 () (_ tptp.divide_divide_real @t95)) % 157.65/157.92 (define @t232 () (_ @t231 @t45)) % 157.65/157.92 (define @t233 () (_ @t39 @t232)) % 157.65/157.92 (define @t234 () (_ @t175 tptp.zero_zero_real)) % 157.65/157.92 (define @t235 () (_ (_ tptp.ord_less_real @t232) tptp.one_one_real)) % 157.65/157.92 (define @t236 () (@var "Y2" tptp.nat)) % 157.65/157.92 (define @t237 () (_ (_ tptp.ord_less_nat @t194) @t236)) % 157.65/157.92 (define @t238 () (= @t216 @t1)) % 157.65/157.92 (define @t239 () (_ tptp.power_power_int @t48)) % 157.65/157.92 (define @t240 () (_ @t239 @t1)) % 157.65/157.92 (define @t241 () (_ @t239 @t216)) % 157.65/157.92 (define @t242 () (_ @t3 @t48)) % 157.65/157.92 (define @t243 () (@list @t48 @t216 @t1)) % 157.65/157.92 (define @t244 () (_ tptp.power_power_real @t45)) % 157.65/157.92 (define @t245 () (_ @t244 @t1)) % 157.65/157.92 (define @t246 () (_ @t244 @t216)) % 157.65/157.92 (define @t247 () (_ @t39 @t45)) % 157.65/157.92 (define @t248 () (@list @t45 @t216 @t1)) % 157.65/157.92 (define @t249 () (_ tptp.power_power_nat @t56)) % 157.65/157.92 (define @t250 () (_ @t249 @t1)) % 157.65/157.92 (define @t251 () (_ @t249 @t216)) % 157.65/157.92 (define @t252 () (_ @t44 @t56)) % 157.65/157.92 (define @t253 () (@list @t56 @t216 @t1)) % 157.65/157.92 (define @t254 () (= @t95 tptp.zero_zero_real)) % 157.65/157.92 (define @t255 () (or @t63 @t254)) % 157.65/157.92 (define @t256 () (_ @t60 @t95)) % 157.65/157.92 (define @t257 () (= @t137 tptp.zero_zero_real)) % 157.65/157.92 (define @t258 () (or @t257 @t147)) % 157.65/157.92 (define @t259 () (_ tptp.divide_divide_real @t137)) % 157.65/157.92 (define @t260 () (@list @t137 @t45 @t95)) % 157.65/157.92 (define @t261 () (_ @t231 @t137)) % 157.65/157.92 (define @t262 () (_ @t60 @t137)) % 157.65/157.92 (define @t263 () (= (_ tptp.abs_abs_real @t256) (_ (_ tptp.divide_divide_real @t46) (_ tptp.abs_abs_real @t95)))) % 157.65/157.92 (define @t264 () (not @t254)) % 157.65/157.92 (define @t265 () (and @t264 @t147)) % 157.65/157.92 (define @t266 () (= @t256 tptp.one_one_real)) % 157.65/157.92 (define @t267 () (and @t105 @t147)) % 157.65/157.92 (define @t268 () (@list @t95 @t45)) % 157.65/157.92 (define @t269 () (= @t240 tptp.zero_zero_int)) % 157.65/157.92 (define @t270 () (= @t245 tptp.zero_zero_real)) % 157.65/157.92 (define @t271 () (= @t250 tptp.zero_zero_nat)) % 157.65/157.92 (define @t272 () (@list @t56 @t1)) % 157.65/157.92 (define @t273 () (@var "I" tptp.nat)) % 157.65/157.92 (define @t274 () (_ tptp.power_power_nat @t273)) % 157.65/157.92 (define @t275 () (@var "K" tptp.int)) % 157.65/157.92 (define @t276 () (_ tptp.minus_minus_int @t275)) % 157.65/157.92 (define @t277 () (@var "I" tptp.int)) % 157.65/157.92 (define @t278 () (@var "P3" (-> tptp.int Bool))) % 157.65/157.92 (define @t279 () (@var "I2" tptp.int)) % 157.65/157.92 (define @t280 () (_ @t278 (_ (_ tptp.minus_minus_int @t279) tptp.one_one_int))) % 157.65/157.92 (define @t281 () (_ @t278 @t279)) % 157.65/157.92 (define @t282 () (_ tptp.ord_less_int @t279)) % 157.65/157.92 (define @t283 () (@list @t279)) % 157.65/157.92 (define @t284 () (@var "X3" tptp.real)) % 157.65/157.92 (define @t285 () (@var "Y3" tptp.real)) % 157.65/157.92 (define @t286 () (@list @t284)) % 157.65/157.92 (define @t287 () (@var "X_1" tptp.real)) % 157.65/157.92 (define @t288 () (_ (_ tptp.power_power_int tptp.zero_zero_int) @t1)) % 157.65/157.92 (define @t289 () (= @t288 tptp.zero_zero_int)) % 157.65/157.92 (define @t290 () (_ (_ tptp.power_power_real tptp.zero_zero_real) @t1)) % 157.65/157.92 (define @t291 () (= @t290 tptp.zero_zero_real)) % 157.65/157.92 (define @t292 () (_ (_ tptp.power_power_nat tptp.zero_zero_nat) @t1)) % 157.65/157.92 (define @t293 () (= @t292 tptp.zero_zero_nat)) % 157.65/157.92 (define @t294 () (_ (_ tptp.divide_divide_real @t11) @t197)) % 157.65/157.92 (define @t295 () (_ @t5 @t294)) % 157.65/157.92 (define @t296 () (_ @t198 tptp.zero_zero_real)) % 157.65/157.92 (define @t297 () (_ @t199 tptp.zero_zero_real)) % 157.65/157.92 (define @t298 () (_ (_ tptp.ord_less_real @t294) tptp.zero_zero_real)) % 157.65/157.92 (define @t299 () (_ @t5 @t197)) % 157.65/157.92 (define @t300 () (_ @t5 @t11)) % 157.65/157.92 (define @t301 () (_ @t96 tptp.zero_zero_real)) % 157.65/157.92 (define @t302 () (not @t257)) % 157.65/157.92 (define @t303 () (_ @t179 tptp.zero_zero_real)) % 157.65/157.92 (define @t304 () (_ @t5 @t137)) % 157.65/157.92 (define @t305 () (_ (_ tptp.ord_less_real @t262) @t261)) % 157.65/157.92 (define @t306 () (_ @t32 @t56)) % 157.65/157.92 (define @t307 () (@var "N4" tptp.nat)) % 157.65/157.92 (define @t308 () (_ @t239 @t307)) % 157.65/157.92 (define @t309 () (_ @t220 @t307)) % 157.65/157.92 (define @t310 () (@list @t1 @t307 @t48)) % 157.65/157.92 (define @t311 () (_ @t244 @t307)) % 157.65/157.92 (define @t312 () (@list @t1 @t307 @t45)) % 157.65/157.92 (define @t313 () (_ @t249 @t307)) % 157.65/157.92 (define @t314 () (@list @t1 @t307 @t56)) % 157.65/157.92 (define @t315 () (_ tptp.ord_less_nat @t56)) % 157.65/157.92 (define @t316 () (_ tptp.abs_abs_real @t11)) % 157.65/157.92 (define @t317 () (@list @t197 @t11)) % 157.65/157.92 (define @t318 () (@var "Q4" tptp.int)) % 157.65/157.92 (define @t319 () (@var "P5" tptp.int)) % 157.65/157.92 (define @t320 () (@var "R" tptp.real)) % 157.65/157.92 (define @t321 () (@list @t1 @t45)) % 157.65/157.92 (define @t322 () (@var "X4" tptp.real)) % 157.65/157.92 (define @t323 () (@var "Y4" tptp.real)) % 157.65/157.92 (define @t324 () (@list @t323)) % 157.65/157.92 (define @t325 () (@list @t322)) % 157.65/157.92 (define @t326 () (_ tptp.minus_minus_nat @t216)) % 157.65/157.92 (define @t327 () (@list @t216)) % 157.65/157.92 (define @t328 () (_ (_ tptp.minus_minus_nat @t1) @t216)) % 157.65/157.92 (define @t329 () (@list @t1 @t216)) % 157.65/157.92 (define @t330 () (_ @t326 @t1)) % 157.65/157.92 (define @t331 () (@var "K" tptp.nat)) % 157.65/157.92 (define @t332 () (@var "J" tptp.nat)) % 157.65/157.92 (define @t333 () (@var "P3" (-> tptp.nat Bool))) % 157.65/157.92 (define @t334 () (_ @t333 @t1)) % 157.65/157.92 (define @t335 () (@var "M2" tptp.nat)) % 157.65/157.92 (define @t336 () (_ @t333 @t335)) % 157.65/157.92 (define @t337 () (_ (_ tptp.ord_less_nat @t335) @t83)) % 157.65/157.92 (define @t338 () (@list @t335)) % 157.65/157.92 (define @t339 () (_ @t333 @t83)) % 157.65/157.92 (define @t340 () (=> (not @t339) (exists @t338 (and @t337 (not @t336))))) % 157.65/157.92 (define @t341 () (@list @t333 @t1)) % 157.65/157.92 (define @t342 () (@var "L" tptp.nat)) % 157.65/157.92 (define @t343 () (_ tptp.minus_minus_nat @t342)) % 157.65/157.92 (define @t344 () (@var "T" tptp.nat)) % 157.65/157.92 (define @t345 () (@var "S" tptp.nat)) % 157.65/157.92 (define @t346 () (not @t238)) % 157.65/157.92 (define @t347 () (@var "D2" tptp.real)) % 157.65/157.92 (define @t348 () (@var "E" tptp.real)) % 157.65/157.92 (define @t349 () (_ tptp.ord_less_real @t348)) % 157.65/157.92 (define @t350 () (@var "D1" tptp.real)) % 157.65/157.92 (define @t351 () (_ @t32 @t216)) % 157.65/157.92 (define @t352 () (_ tptp.ord_less_real @t322)) % 157.65/157.92 (define @t353 () (_ (_ tptp.member_real @t322) tptp.field_1537545994s_real)) % 157.65/157.92 (define @t354 () (_ (_ tptp.power_power_real @t11) @t83)) % 157.65/157.92 (define @t355 () (_ (_ tptp.divide_divide_nat @t216) @t1)) % 157.65/157.92 (define @t356 () (= @t355 tptp.zero_zero_nat)) % 157.65/157.92 (define @t357 () (_ tptp.minus_minus_nat @t273)) % 157.65/157.92 (define @t358 () (@var "A0" tptp.int)) % 157.65/157.92 (define @t359 () (@var "D3" tptp.real)) % 157.65/157.92 (define @t360 () (= @t140 tptp.zero_zero_int)) % 157.65/157.92 (define @t361 () (or @t360 @t152)) % 157.65/157.92 (define @t362 () (_ (_ tptp.times_times_int @t68) @t140)) % 157.65/157.92 (define @t363 () (_ tptp.times_times_int @t48)) % 157.65/157.92 (define @t364 () (_ @t363 @t140)) % 157.65/157.92 (define @t365 () (= @t143 tptp.zero_zero_nat)) % 157.65/157.92 (define @t366 () (or @t365 (= @t56 @t144))) % 157.65/157.92 (define @t367 () (_ (_ tptp.times_times_nat @t144) @t143)) % 157.65/157.92 (define @t368 () (_ tptp.times_times_nat @t56)) % 157.65/157.92 (define @t369 () (_ @t368 @t143)) % 157.65/157.92 (define @t370 () (_ tptp.times_times_real @t95)) % 157.65/157.92 (define @t371 () (_ @t370 @t137)) % 157.65/157.92 (define @t372 () (_ tptp.times_times_real @t45)) % 157.65/157.92 (define @t373 () (_ @t372 @t137)) % 157.65/157.92 (define @t374 () (_ tptp.times_times_int @t140)) % 157.65/157.92 (define @t375 () (_ @t374 @t68)) % 157.65/157.92 (define @t376 () (_ @t374 @t48)) % 157.65/157.92 (define @t377 () (@list @t140 @t48 @t68)) % 157.65/157.92 (define @t378 () (_ tptp.times_times_nat @t143)) % 157.65/157.92 (define @t379 () (_ @t378 @t144)) % 157.65/157.92 (define @t380 () (_ @t378 @t56)) % 157.65/157.92 (define @t381 () (@list @t143 @t56 @t144)) % 157.65/157.92 (define @t382 () (_ tptp.times_times_real @t137)) % 157.65/157.92 (define @t383 () (_ @t382 @t95)) % 157.65/157.92 (define @t384 () (_ @t382 @t45)) % 157.65/157.92 (define @t385 () (_ @t372 @t95)) % 157.65/157.92 (define @t386 () (@var "R2" tptp.real)) % 157.65/157.92 (define @t387 () (_ tptp.times_times_real @t386)) % 157.65/157.92 (define @t388 () (or @t360 (= @t68 tptp.one_one_int))) % 157.65/157.92 (define @t389 () (@list @t140 @t68)) % 157.65/157.92 (define @t390 () (or @t257 (= @t95 tptp.one_one_real))) % 157.65/157.92 (define @t391 () (@list @t137 @t95)) % 157.65/157.92 (define @t392 () (or @t360 (= @t48 tptp.one_one_int))) % 157.65/157.92 (define @t393 () (or @t257 (= @t45 tptp.one_one_real))) % 157.65/157.92 (define @t394 () (_ @t61 @t144)) % 157.65/157.92 (define @t395 () (_ (_ tptp.divide_divide_nat @t380) @t379)) % 157.65/157.92 (define @t396 () (not @t365)) % 157.65/157.92 (define @t397 () (=> @t396 (= @t395 @t394))) % 157.65/157.92 (define @t398 () (_ @t62 @t68)) % 157.65/157.92 (define @t399 () (_ (_ tptp.divide_divide_int @t376) @t375)) % 157.65/157.92 (define @t400 () (not @t360)) % 157.65/157.92 (define @t401 () (=> @t400 (= @t399 @t398))) % 157.65/157.92 (define @t402 () (_ (_ tptp.divide_divide_real @t384) @t383)) % 157.65/157.92 (define @t403 () (=> @t302 (= @t402 @t256))) % 157.65/157.92 (define @t404 () (@var "N3" tptp.nat)) % 157.65/157.92 (define @t405 () (@var "Q3" (-> tptp.nat tptp.int))) % 157.65/157.92 (define @t406 () (_ @t405 @t404)) % 157.65/157.92 (define @t407 () (_ tptp.ring_1_of_int_real @t406)) % 157.65/157.92 (define @t408 () (@var "P4" (-> tptp.nat tptp.int))) % 157.65/157.92 (define @t409 () (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real @t112) (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real (_ @t408 @t404))) @t407)))) % 157.65/157.92 (define @t410 () (@list @t404)) % 157.65/157.92 (define @t411 () (lambda (@list @t112 @t408 @t405) (and (forall @t410 (_ @t5 @t409)) (forall @t410 (_ @t3 @t406)) (forall @t410 (_ (_ tptp.ord_less_real @t409) (_ @t117 (_ (_ tptp.power_power_real @t407) @t404))))))) % 157.65/157.92 (define @t412 () (@const 0 (@ho-elim-sort (-> tptp.int tptp.real)))) % 157.65/157.92 (define @t413 () (@const 1 (-> (@ho-elim-sort (-> tptp.int tptp.real)) tptp.int tptp.real))) % 157.65/157.92 (define @t414 () (_ @t413 @t412 tptp.one_one_int)) % 157.65/157.92 (define @t415 () (@const 2 (@ho-elim-sort (-> tptp.real tptp.real tptp.real)))) % 157.65/157.92 (define @t416 () (@const 3 (-> (@ho-elim-sort (-> tptp.real tptp.real tptp.real)) tptp.real (@ho-elim-sort (-> tptp.real tptp.real))))) % 157.65/157.92 (define @t417 () (@const 4 (-> (@ho-elim-sort (-> tptp.real tptp.real)) tptp.real tptp.real))) % 157.65/157.92 (define @t418 () (_ @t417 (_ @t416 @t415 @t414) @t414)) % 157.65/157.92 (define @t419 () (@const 5 (@ho-elim-sort (-> tptp.real tptp.real)))) % 157.65/157.92 (define @t420 () (_ @t417 @t419 @t45)) % 157.65/157.92 (define @t421 () (@const 6 (@ho-elim-sort (-> tptp.real tptp.real Bool)))) % 157.65/157.92 (define @t422 () (@const 7 (-> (@ho-elim-sort (-> tptp.real tptp.real Bool)) tptp.real (@ho-elim-sort (-> tptp.real Bool))))) % 157.65/157.92 (define @t423 () (@const 8 (-> (@ho-elim-sort (-> tptp.real Bool)) tptp.real Bool))) % 157.65/157.92 (define @t424 () (tptp.ring_1_of_int_real tptp.one_one_int)) % 157.65/157.92 (define @t425 () (tptp.minus_minus_real @t424 @t424)) % 157.65/157.92 (define @t426 () (tptp.abs_abs_real @t45)) % 157.65/157.92 (define @t427 () (_ (_ tptp.minus_minus_real @t116) @t116)) % 157.65/157.92 (define @t428 () (tptp.ord_less_real @t426 @t427)) % 157.65/157.92 (define @t429 () (not @t428)) % 157.65/157.92 (define @t430 () (tptp.ord_less_real @t426 tptp.zero_zero_real)) % 157.65/157.92 (define @t431 () (not @t430)) % 157.65/157.92 (define @t432 () (@const 10 (-> (@ho-elim-sort (-> tptp.nat tptp.int)) tptp.nat tptp.int))) % 157.65/157.92 (define @t433 () (_ @t432 (@const 9 (@ho-elim-sort (-> tptp.nat tptp.int))) tptp.m)) % 157.65/157.92 (define @t434 () (_ @t413 @t412 @t433)) % 157.65/157.92 (define @t435 () (@const 12 (@ho-elim-sort (-> tptp.real tptp.real tptp.real)))) % 157.65/157.92 (define @t436 () (_ @t417 @t419 (_ @t417 (_ @t416 @t415 tptp.x) (_ @t417 (_ @t416 @t435 (_ @t413 @t412 (_ @t432 (@const 11 (@ho-elim-sort (-> tptp.nat tptp.int))) tptp.m))) @t434)))) % 157.65/157.92 (define @t437 () (_ @t417 (_ @t416 @t435 tptp.c) (_ (@const 15 (-> (@ho-elim-sort (-> tptp.nat tptp.real)) tptp.nat tptp.real)) (_ (@const 14 (-> (@ho-elim-sort (-> tptp.real tptp.nat tptp.real)) tptp.real (@ho-elim-sort (-> tptp.nat tptp.real)))) (@const 13 (@ho-elim-sort (-> tptp.real tptp.nat tptp.real))) @t434) tptp.n))) % 157.65/157.92 (define @t438 () (_ @t417 (_ @t416 @t415 @t45) @t95)) % 157.65/157.92 (define @t439 () (_ @t417 @t419 @t438)) % 157.65/157.92 (define @t440 () (_ @t417 @t419 (_ @t417 (_ @t416 @t415 @t95) @t45))) % 157.65/157.92 (define @t441 () (forall @t101 (= @t439 @t440))) % 157.65/157.92 (define @t442 () (tptp.minus_minus_real @t95 @t45)) % 157.65/157.92 (define @t443 () (tptp.abs_abs_real @t442)) % 157.65/157.92 (define @t444 () (tptp.minus_minus_real @t45 @t95)) % 157.65/157.92 (define @t445 () (tptp.abs_abs_real @t444)) % 157.65/157.92 (define @t446 () (_ @t422 @t421 @t418)) % 157.65/157.92 (define @t447 () (= @t45 @t426)) % 157.65/157.92 (define @t448 () (tptp.ord_less_real @t427 @t45)) % 157.65/157.92 (define @t449 () (not @t448)) % 157.65/157.92 (define @t450 () (or @t449 @t447)) % 157.65/157.92 (define @t451 () (tptp.ord_less_real tptp.zero_zero_real @t45)) % 157.65/157.92 (define @t452 () (not @t451)) % 157.65/157.92 (define @t453 () (or @t452 @t447)) % 157.65/157.92 (define @t454 () (= @t45 @t46)) % 157.65/157.92 (define @t455 () (not @t206)) % 157.65/157.92 (define @t456 () (or @t455 @t454)) % 157.65/157.92 (define @t457 () (_ @t417 (_ @t416 @t415 @t436) @t437)) % 157.65/157.92 (define @t458 () (_ @t423 (_ @t422 @t421 @t95) @t45)) % 157.65/157.92 (define @t459 () (_ @t423 @t446 @t438)) % 157.65/157.92 (define @t460 () (forall @t101 (= @t458 @t459))) % 157.65/157.92 (define @t461 () (tptp.ord_less_real @t95 @t45)) % 157.65/157.92 (define @t462 () (tptp.ord_less_real @t427 @t444)) % 157.65/157.92 (define @t463 () (= @t461 @t462)) % 157.65/157.92 (define @t464 () (tptp.ord_less_real tptp.zero_zero_real @t444)) % 157.65/157.92 (define @t465 () (= @t464 @t461)) % 157.65/157.92 (define @t466 () (_ @t423 @t446 @t457)) % 157.65/157.92 (define @t467 () (_ @t423 (_ @t422 @t421 @t437) @t436)) % 157.65/157.92 (define @t468 () (forall @t101 (= @t459 @t458))) % 157.65/157.92 (define @t469 () (= @t466 @t467)) % 157.65/157.92 (define @t470 () (@list @t436 @t437)) % 157.65/157.92 (define @t471 () (= @t467 @t466)) % 157.65/157.92 (define @t472 () (@list false)) % 157.65/157.92 (define @t473 () (@var "BOUND_VARIABLE_14591" tptp.int)) % 157.65/157.92 (define @t474 () (@var "BOUND_VARIABLE_14590" tptp.int)) % 157.65/157.92 (define @t475 () (@const 16 (@ho-elim-sort (-> tptp.int tptp.int Bool)))) % 157.65/157.92 (define @t476 () (@const 17 (-> (@ho-elim-sort (-> tptp.int tptp.int Bool)) tptp.int (@ho-elim-sort (-> tptp.int Bool))))) % 157.65/157.92 (define @t477 () (@const 18 (-> (@ho-elim-sort (-> tptp.int Bool)) tptp.int Bool))) % 157.65/157.92 (define @t478 () (_ @t477 (_ @t476 @t475 @t474) @t473)) % 157.65/157.92 (define @t479 () (@const 19 (@ho-elim-sort (-> tptp.int tptp.int tptp.int)))) % 157.65/157.92 (define @t480 () (@const 20 (-> (@ho-elim-sort (-> tptp.int tptp.int tptp.int)) tptp.int (@ho-elim-sort (-> tptp.int tptp.int))))) % 157.65/157.92 (define @t481 () (@const 21 (-> (@ho-elim-sort (-> tptp.int tptp.int)) tptp.int tptp.int))) % 157.65/157.92 (define @t482 () (_ @t481 (_ @t480 @t479 tptp.one_one_int) tptp.one_one_int)) % 157.65/157.92 (define @t483 () (@const 22 (@ho-elim-sort (-> tptp.int tptp.int Bool)))) % 157.65/157.92 (define @t484 () (_ @t477 (_ @t476 @t483 (_ @t481 (_ @t480 @t479 @t474) @t473)) @t482)) % 157.65/157.92 (define @t485 () (@list @t474 @t473)) % 157.65/157.92 (define @t486 () (forall @t485 (= @t478 @t484))) % 157.65/157.92 (define @t487 () (@const 23 (-> tptp.int tptp.int Bool))) % 157.65/157.92 (define @t488 () (forall @t485 (= (_ @t487 @t474 @t473) (tptp.ord_less_int (tptp.minus_minus_int @t474 @t473) (tptp.minus_minus_int tptp.one_one_int tptp.one_one_int))))) % 157.65/157.92 (define @t489 () (tptp.minus_minus_int @t68 @t151)) % 157.65/157.92 (define @t490 () (tptp.minus_minus_int @t48 @t140)) % 157.65/157.92 (define @t491 () (tptp.ord_less_int @t490 @t489)) % 157.65/157.92 (define @t492 () (tptp.ord_less_int @t151 @t140)) % 157.65/157.92 (define @t493 () (tptp.ord_less_int @t48 @t68)) % 157.65/157.92 (define @t494 () (not @t182)) % 157.65/157.92 (define @t495 () (not @t173)) % 157.65/157.92 (define @t496 () (or @t495 @t494 @t181)) % 157.65/157.92 (define @t497 () (_ @t476 @t483 @t482)) % 157.65/157.92 (define @t498 () (_ @t477 @t497 tptp.one_one_int)) % 157.65/157.92 (define @t499 () (_ tptp.ord_less_int @t103)) % 157.65/157.92 (define @t500 () (_ @t477 (_ @t476 @t483 tptp.one_one_int) @t433)) % 157.65/157.92 (define @t501 () (_ @t477 (_ @t476 @t483 (_ @t481 (_ @t480 @t479 @t482) @t433)) @t482)) % 157.65/157.92 (define @t502 () (not @t500)) % 157.65/157.92 (define @t503 () (not @t498)) % 157.65/157.92 (define @t504 () (or @t503 @t502 @t501)) % 157.65/157.92 (define @t505 () (_ @t477 (_ @t476 @t475 @t482) @t433)) % 157.65/157.92 (define @t506 () (= @t501 @t505)) % 157.65/157.92 (define @t507 () (@list false false)) % 157.65/157.92 (define @t508 () (= tptp.ord_less_int @t487)) % 157.65/157.92 (define @t509 () (_ @t477 @t497 @t433)) % 157.65/157.92 (define @t510 () (= @t457 (_ @t417 @t419 @t457))) % 157.65/157.92 (define @t511 () (not @t466)) % 157.65/157.92 (define @t512 () (or @t511 @t510)) % 157.65/157.92 (define @t513 () (@const 24 (@ho-elim-sort (-> tptp.real tptp.real Bool)))) % 157.65/157.92 (define @t514 () (@const 25 (-> tptp.real tptp.real Bool))) % 157.65/157.92 (define @t515 () (= tptp.ord_less_real @t514)) % 157.65/157.92 (define @t516 () (_ @t422 @t513 @t457)) % 157.65/157.92 (define @t517 () (_ @t422 @t421 @t457)) % 157.65/157.92 (define @t518 () (_ @t423 @t517 @t418)) % 157.65/157.92 (define @t519 () (@var "BOUND_VARIABLE_14601" tptp.real)) % 157.65/157.92 (define @t520 () (@var "BOUND_VARIABLE_14600" tptp.real)) % 157.65/157.92 (define @t521 () (_ @t423 (_ @t422 @t513 @t520) @t519)) % 157.65/157.92 (define @t522 () (_ @t423 (_ @t422 @t421 (_ @t417 (_ @t416 @t415 @t520) @t519)) @t418)) % 157.65/157.92 (define @t523 () (@list @t520 @t519)) % 157.65/157.92 (define @t524 () (forall @t523 (= @t521 @t522))) % 157.65/157.92 (define @t525 () (forall @t523 (= (_ @t514 @t520 @t519) (tptp.ord_less_real (tptp.minus_minus_real @t520 @t519) @t425)))) % 157.65/157.92 (define @t526 () (_ @t422 @t513 @t436)) % 157.65/157.92 (define @t527 () (_ @t423 @t526 @t437)) % 157.65/157.92 (define @t528 () (= @t518 @t527)) % 157.65/157.92 (assume @p1 (_ tptp.algebraic_real tptp.x)) % 157.65/157.92 (assume @p2 (_ (_ (_ tptp.liouvi1159869758uville tptp.x) tptp.p) tptp.q)) % 157.65/157.92 (assume @p3 (forall @t4 (_ @t3 @t2))) % 157.65/157.92 (assume @p4 (_ @t5 tptp.c)) % 157.65/157.92 (assume @p5 (not (_ (_ tptp.member_real tptp.x) tptp.field_1537545994s_real))) % 157.65/157.92 (assume @p6 @t7) % 157.65/157.92 (assume @p7 (forall @t13 (=> @t12 (_ @t3 @t9)))) % 157.65/157.92 (assume @p8 (forall @t16 (=> @t12 @t15))) % 157.65/157.92 (assume @p9 @t25) % 157.65/157.92 (assume @p10 @t28) % 157.65/157.92 (assume @p11 (forall @t4 (_ @t5 @t30))) % 157.65/157.92 (assume @p12 (forall @t4 (= (not @t33) @t31))) % 157.65/157.92 (assume @p13 (forall @t37 (= (_ @t3 @t36) @t35))) % 157.65/157.92 (assume @p14 (forall @t37 (= (_ @t39 @t38) @t35))) % 157.65/157.92 (assume @p15 (forall @t37 (= (_ @t42 tptp.one_one_int) @t41))) % 157.65/157.92 (assume @p16 (forall @t37 (= (_ @t43 tptp.one_one_real) @t41))) % 157.65/157.92 (assume @p17 (_ @t27 tptp.one_one_int)) % 157.65/157.92 (assume @p18 (_ @t5 tptp.one_one_real)) % 157.65/157.92 (assume @p19 (_ @t32 tptp.one_one_nat)) % 157.65/157.92 (assume @p20 (not (_ @t3 tptp.zero_zero_int))) % 157.65/157.92 (assume @p21 (not (_ @t39 tptp.zero_zero_real))) % 157.65/157.92 (assume @p22 (not (_ @t44 tptp.zero_zero_nat))) % 157.65/157.92 (assume @p23 (forall @t47 (= (_ tptp.abs_abs_real @t46) @t46))) % 157.65/157.92 (assume @p24 (forall @t50 (= (_ tptp.abs_abs_int @t49) @t49))) % 157.65/157.92 (assume @p25 (forall @t53 (= (= @t52 @t38) (= @t51 @t34)))) % 157.65/157.92 (assume @p26 (forall @t47 (= (_ @t54 @t45) tptp.zero_zero_real))) % 157.65/157.92 (assume @p27 (forall @t50 (= (_ @t55 @t48) tptp.zero_zero_int))) % 157.65/157.92 (assume @p28 (forall @t58 (= (_ @t57 @t56) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p29 (forall @t47 (= (_ @t54 tptp.zero_zero_real) @t45))) % 157.65/157.92 (assume @p30 (forall @t50 (= (_ @t55 tptp.zero_zero_int) @t48))) % 157.65/157.92 (assume @p31 (forall @t58 (= (_ @t57 tptp.zero_zero_nat) @t56))) % 157.65/157.92 (assume @p32 (forall @t58 (= (_ @t59 @t56) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p33 (forall @t47 (= (_ @t60 tptp.zero_zero_real) tptp.zero_zero_real))) % 157.65/157.92 (assume @p34 (forall @t58 (= (_ @t61 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p35 (forall @t50 (= (_ @t62 tptp.zero_zero_int) tptp.zero_zero_int))) % 157.65/157.92 (assume @p36 (forall @t47 (= (_ (_ tptp.divide_divide_real tptp.zero_zero_real) @t45) tptp.zero_zero_real))) % 157.65/157.92 (assume @p37 (forall @t58 (= (_ (_ tptp.divide_divide_nat tptp.zero_zero_nat) @t56) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p38 (forall @t50 (= (_ (_ tptp.divide_divide_int tptp.zero_zero_int) @t48) tptp.zero_zero_int))) % 157.65/157.92 (assume @p39 (forall @t47 (= (_ @t60 tptp.one_one_real) @t45))) % 157.65/157.92 (assume @p40 (forall @t58 (= (_ @t61 tptp.one_one_nat) @t56))) % 157.65/157.92 (assume @p41 (forall @t50 (= (_ @t62 tptp.one_one_int) @t48))) % 157.65/157.92 (assume @p42 (= (_ tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real)) % 157.65/157.92 (assume @p43 (= (_ tptp.abs_abs_int tptp.zero_zero_int) tptp.zero_zero_int)) % 157.65/157.92 (assume @p44 (forall @t47 (= (= @t46 tptp.zero_zero_real) @t63))) % 157.65/157.92 (assume @p45 (forall @t50 (= (= @t49 tptp.zero_zero_int) @t64))) % 157.65/157.92 (assume @p46 (forall @t47 (= (= tptp.zero_zero_real @t46) @t63))) % 157.65/157.92 (assume @p47 (forall @t50 (= (= tptp.zero_zero_int @t49) @t64))) % 157.65/157.92 (assume @p48 (= (_ tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int)) % 157.65/157.92 (assume @p49 (= (_ tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real)) % 157.65/157.92 (assume @p50 (forall @t53 (= (_ tptp.ring_1_of_int_real @t65) (_ (_ tptp.minus_minus_real @t52) @t38)))) % 157.65/157.92 (assume @p51 (forall @t53 (= (_ tptp.ring_1_of_int_int @t65) (_ (_ tptp.minus_minus_int @t66) @t36)))) % 157.65/157.92 (assume @p52 (forall @t74 (= (= @t73 @t72) (= @t71 @t70)))) % 157.65/157.92 (assume @p53 (forall @t75 (= (= @t72 @t73) (= @t70 @t71)))) % 157.65/157.92 (assume @p54 (forall (@list @t34 @t1) (= (_ tptp.ring_1_of_int_real (_ (_ tptp.power_power_int @t34) @t1)) (_ (_ tptp.power_power_real @t38) @t1)))) % 157.65/157.92 (assume @p55 (forall @t78 (= (_ tptp.ring_1_of_int_int @t77) (_ tptp.abs_abs_int @t76)))) % 157.65/157.92 (assume @p56 (forall @t78 (= (_ tptp.ring_1_of_int_real @t77) (_ tptp.abs_abs_real @t73)))) % 157.65/157.92 (assume @p57 (not (forall @t90 (=> @t89 (forall @t88 (not (forall @t87 (=> @t86 (_ @t85 (_ tptp.abs_abs_real (_ @t22 @t82))))))))))) % 157.65/157.92 (assume @p58 (forall @t94 (= (_ @t27 @t93) @t92))) % 157.65/157.92 (assume @p59 @t102) % 157.65/157.92 (assume @p60 (= (_ (_ tptp.minus_minus_real tptp.one_one_real) tptp.one_one_real) tptp.zero_zero_real)) % 157.65/157.92 (assume @p61 (= @t103 tptp.zero_zero_int)) % 157.65/157.92 (assume @p62 (forall @t47 @t106)) % 157.65/157.92 (assume @p63 (forall @t58 (=> @t108 (= (_ @t61 @t56) tptp.one_one_nat)))) % 157.65/157.92 (assume @p64 (forall @t50 (=> @t109 (= (_ @t62 @t48) tptp.one_one_int)))) % 157.65/157.92 (assume @p65 (forall (@list @t45 @t110) (= (_ (_ tptp.member_real @t45) (_ tptp.collect_real @t110)) (_ @t110 @t45)))) % 157.65/157.92 (assume @p66 (forall (@list @t111) (= (_ tptp.collect_real (lambda (@list @t112) (_ (_ tptp.member_real @t112) @t111))) @t111))) % 157.65/157.92 (assume @p67 (forall @t50 (= (_ @t27 @t49) @t109))) % 157.65/157.92 (assume @p68 (forall @t47 (= (_ @t5 @t46) @t105))) % 157.65/157.92 (assume @p69 (forall @t37 (= (= @t36 tptp.zero_zero_int) @t113))) % 157.65/157.92 (assume @p70 (forall @t37 (= (= @t38 tptp.zero_zero_real) @t113))) % 157.65/157.92 (assume @p71 (forall @t37 (= (= tptp.zero_zero_int @t36) @t113))) % 157.65/157.92 (assume @p72 (forall @t37 (= (= tptp.zero_zero_real @t38) @t113))) % 157.65/157.92 (assume @p73 (= (_ tptp.ring_1_of_int_int tptp.zero_zero_int) tptp.zero_zero_int)) % 157.65/157.92 (assume @p74 (= (_ tptp.ring_1_of_int_real tptp.zero_zero_int) tptp.zero_zero_real)) % 157.65/157.92 (assume @p75 (forall @t53 (= (_ (_ tptp.ord_less_int @t66) @t36) @t114))) % 157.65/157.92 (assume @p76 (forall @t53 (= (_ (_ tptp.ord_less_real @t52) @t38) @t114))) % 157.65/157.92 (assume @p77 (forall @t37 (= (= @t36 tptp.one_one_int) @t115))) % 157.65/157.92 (assume @p78 (forall @t37 (= (= @t38 tptp.one_one_real) @t115))) % 157.65/157.92 (assume @p79 (= (_ tptp.ring_1_of_int_int tptp.one_one_int) tptp.one_one_int)) % 157.65/157.92 (assume @p80 (= @t116 tptp.one_one_real)) % 157.65/157.92 (assume @p81 (forall @t4 (_ (_ tptp.ord_less_real @t30) (_ @t117 (_ (_ tptp.power_power_real @t29) @t1))))) % 157.65/157.92 (assume @p82 (_ @t24 @t118)) % 157.65/157.92 (assume @p83 (forall (@list @t119 @t121) (=> (_ @t27 @t119) (_ (_ tptp.ord_less_real (_ @t20 (_ (_ tptp.power_power_real @t120) tptp.n))) (_ tptp.abs_abs_real (_ @t22 (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real @t121)) @t120))))))) % 157.65/157.92 (assume @p84 (forall @t74 (= (_ (_ tptp.ord_less_int @t76) @t124) @t123))) % 157.65/157.92 (assume @p85 (forall @t74 (= (_ (_ tptp.ord_less_real @t73) @t72) @t123))) % 157.65/157.92 (assume @p86 (forall @t75 (= (_ (_ tptp.ord_less_int @t124) @t76) @t125))) % 157.65/157.92 (assume @p87 (forall @t75 (= (_ (_ tptp.ord_less_real @t72) @t73) @t125))) % 157.65/157.92 (assume @p88 (forall @t37 (= (_ @t42 tptp.zero_zero_int) @t126))) % 157.65/157.92 (assume @p89 (forall @t37 (= (_ @t43 tptp.zero_zero_real) @t126))) % 157.65/157.92 (assume @p90 (forall @t37 (= @t128 @t127))) % 157.65/157.92 (assume @p91 (forall @t37 (= @t129 @t127))) % 157.65/157.92 (assume @p92 @t135) % 157.65/157.92 (assume @p93 (forall @t94 (= (_ tptp.abs_abs_int @t93) (_ tptp.abs_abs_int (_ @t136 @t48))))) % 157.65/157.92 (assume @p94 (forall @t139 (= (_ (_ tptp.minus_minus_real @t138) @t95) (_ (_ tptp.minus_minus_real @t98) @t137)))) % 157.65/157.92 (assume @p95 (forall @t142 (= (_ (_ tptp.minus_minus_int @t141) @t68) (_ (_ tptp.minus_minus_int @t93) @t140)))) % 157.65/157.92 (assume @p96 (forall @t145 (= (_ (_ tptp.minus_minus_nat (_ @t57 @t143)) @t144) (_ (_ tptp.minus_minus_nat (_ @t57 @t144)) @t143)))) % 157.65/157.92 (assume @p97 (forall @t150 (=> @t149 (= @t147 (= @t137 @t146))))) % 157.65/157.92 (assume @p98 (forall @t155 (=> @t154 (= @t152 (= @t140 @t151))))) % 157.65/157.92 (assume @p99 (forall @t13 (=> @t12 (_ (_ tptp.ord_less_real @t158) (_ @t117 (_ (_ tptp.power_power_real @t156) @t1)))))) % 157.65/157.92 (assume @p100 (= (lambda (@list @t164 @t163) (= @t164 @t163)) (lambda @t162 (= @t161 tptp.zero_zero_real)))) % 157.65/157.92 (assume @p101 (= (lambda (@list @t170 @t169) (= @t170 @t169)) (lambda @t168 (= @t167 tptp.zero_zero_int)))) % 157.65/157.92 (assume @p102 (forall (@list @t48 @t68 @t140) (=> @t173 (_ @t171 (_ @t136 @t140))))) % 157.65/157.92 (assume @p103 (forall @t177 (=> @t176 (_ @t174 (_ @t130 @t137))))) % 157.65/157.92 (assume @p104 (forall (@list @t68 @t48 @t140) (=> @t92 (_ (_ tptp.ord_less_int (_ @t153 @t48)) (_ @t153 @t68))))) % 157.65/157.92 (assume @p105 (forall @t178 (=> @t97 (_ (_ tptp.ord_less_real (_ @t148 @t45)) (_ @t148 @t95))))) % 157.65/157.92 (assume @p106 (forall @t155 (=> @t154 (= @t173 (_ (_ tptp.ord_less_int @t140) @t151))))) % 157.65/157.92 (assume @p107 (forall @t150 (=> @t149 (= @t176 (_ @t179 @t146))))) % 157.65/157.92 (assume @p108 @t185) % 157.65/157.92 (assume @p109 (forall (@list @t45 @t95 @t146 @t137) (=> @t176 (=> (_ (_ tptp.ord_less_real @t146) @t137) (_ @t174 (_ @t130 @t146)))))) % 157.65/157.92 (assume @p110 (forall (@list @t186 @t71) (=> (_ (_ tptp.ord_less_int (_ tptp.abs_abs_int (_ tptp.ring_1_of_int_int @t186))) @t71) (or @t187 (_ @t3 @t71))))) % 157.65/157.92 (assume @p111 (forall (@list @t186 @t11) (=> (_ (_ tptp.ord_less_real (_ tptp.abs_abs_real (_ tptp.ring_1_of_int_real @t186))) @t11) (or @t187 @t188)))) % 157.65/157.92 (assume @p112 (not (_ @t27 tptp.zero_zero_int))) % 157.65/157.92 (assume @p113 (forall @t16 (=> (forall @t88 (_ @t5 @t191)) (=> (forall @t88 (_ @t3 @t189)) (=> (forall @t88 (_ (_ tptp.ord_less_real @t191) (_ @t117 (_ (_ tptp.power_power_real @t190) @t83)))) @t12))))) % 157.65/157.92 (assume @p114 (forall @t193 (= (= tptp.zero_zero_real @t11) @t192))) % 157.65/157.92 (assume @p115 (forall @t78 (= (= tptp.zero_zero_int @t71) (= @t71 tptp.zero_zero_int)))) % 157.65/157.92 (assume @p116 (forall @t195 (= (= tptp.zero_zero_nat @t194) (= @t194 tptp.zero_zero_nat)))) % 157.65/157.92 (assume @p117 (forall (@list @t71 @t196) (=> (not (= @t71 @t196)) (=> (not (_ @t122 @t196)) (_ (_ tptp.ord_less_int @t196) @t71))))) % 157.65/157.92 (assume @p118 (forall @t201 (=> (not (= @t11 @t197)) (=> (not @t200) (_ @t198 @t11))))) % 157.65/157.92 (assume @p119 (forall @t50 (not (_ (_ tptp.ord_less_int @t49) tptp.zero_zero_int)))) % 157.65/157.92 (assume @p120 @t204) % 157.65/157.92 (assume @p121 (forall @t50 (=> @t205 (= @t49 @t48)))) % 157.65/157.92 (assume @p122 @t208) % 157.65/157.92 (assume @p123 (forall @t78 (= (= tptp.one_one_int @t71) (= @t71 tptp.one_one_int)))) % 157.65/157.92 (assume @p124 (forall @t193 (= (= tptp.one_one_real @t11) (= @t11 tptp.one_one_real)))) % 157.65/157.92 (assume @p125 (forall @t195 (= (= tptp.one_one_nat @t194) (= @t194 tptp.one_one_nat)))) % 157.65/157.92 (assume @p126 @t211) % 157.65/157.92 (assume @p127 @t214) % 157.65/157.92 (assume @p128 (forall @t13 (=> @t12 (_ @t5 @t158)))) % 157.65/157.92 (assume @p129 (forall @t193 (=> @t15 (=> (_ tptp.algebraic_real @t11) (not (forall @t90 (=> @t89 (forall @t88 (not (forall @t87 (=> @t86 (_ @t85 (_ tptp.abs_abs_real (_ @t157 @t82)))))))))))))) % 157.65/157.92 (assume @p130 (forall @t37 (=> @t127 @t128))) % 157.65/157.92 (assume @p131 (forall @t37 (=> @t127 @t129))) % 157.65/157.92 (assume @p132 (forall @t4 (= @t33 @t215))) % 157.65/157.92 (assume @p133 (forall @t219 (=> @t218 @t215))) % 157.65/157.92 (assume @p134 (forall @t4 (not (_ @t220 tptp.zero_zero_nat)))) % 157.65/157.92 (assume @p135 (forall @t4 (=> @t215 @t33))) % 157.65/157.92 (assume @p136 (not (_ @t5 tptp.zero_zero_real))) % 157.65/157.92 (assume @p137 (not (_ @t32 tptp.zero_zero_nat))) % 157.65/157.92 (assume @p138 (not (= tptp.zero_zero_real tptp.one_one_real))) % 157.65/157.92 (assume @p139 (not (= tptp.zero_zero_int tptp.one_one_int))) % 157.65/157.92 (assume @p140 (not (= tptp.zero_zero_nat tptp.one_one_nat))) % 157.65/157.92 (assume @p141 (not (_ @t3 tptp.one_one_int))) % 157.65/157.92 (assume @p142 (not (_ @t39 tptp.one_one_real))) % 157.65/157.92 (assume @p143 (not (_ @t44 tptp.one_one_nat))) % 157.65/157.92 (assume @p144 (forall @t222 (= (_ @t27 @t221) (or @t109 @t31)))) % 157.65/157.92 (assume @p145 (forall @t224 (= (_ @t5 @t223) (or @t105 @t31)))) % 157.65/157.92 (assume @p146 (forall (@list @t68 @t216 @t1) (=> (_ @t27 @t68) (=> (_ @t91 tptp.one_one_int) (= (_ (_ tptp.ord_less_int (_ @t69 @t216)) (_ @t69 @t1)) @t225))))) % 157.65/157.92 (assume @p147 (forall (@list @t95 @t216 @t1) (=> @t228 (=> (_ @t96 tptp.one_one_real) (= (_ (_ tptp.ord_less_real (_ @t226 @t216)) @t227) @t225))))) % 157.65/157.92 (assume @p148 (forall (@list @t144 @t216 @t1) (=> (_ @t32 @t144) (=> (_ (_ tptp.ord_less_nat @t144) tptp.one_one_nat) (= (_ (_ tptp.ord_less_nat (_ @t229 @t216)) (_ @t229 @t1)) @t225))))) % 157.65/157.92 (assume @p149 (forall @t47 (= (_ @t5 @t230) @t206))) % 157.65/157.92 (assume @p150 (forall @t101 (=> @t206 (= @t233 @t176)))) % 157.65/157.92 (assume @p151 (forall @t101 (=> @t234 (= @t233 @t97)))) % 157.65/157.92 (assume @p152 (forall @t101 (=> @t206 (= @t235 @t97)))) % 157.65/157.92 (assume @p153 (forall @t101 (=> @t234 (= @t235 @t176)))) % 157.65/157.92 (assume @p154 (forall @t47 (= (_ (_ tptp.ord_less_real @t230) tptp.zero_zero_real) @t234))) % 157.65/157.92 (assume @p155 (forall (@list @t68 @t194 @t236) (=> (_ @t3 @t68) (= (_ (_ tptp.ord_less_int (_ @t69 @t194)) (_ @t69 @t236)) @t237)))) % 157.65/157.92 (assume @p156 (forall (@list @t95 @t194 @t236) (=> (_ @t39 @t95) (= (_ (_ tptp.ord_less_real (_ @t226 @t194)) (_ @t226 @t236)) @t237)))) % 157.65/157.92 (assume @p157 (forall (@list @t144 @t194 @t236) (=> (_ @t44 @t144) (= (_ (_ tptp.ord_less_nat (_ @t229 @t194)) (_ @t229 @t236)) @t237)))) % 157.65/157.92 (assume @p158 (forall @t243 (=> @t242 (= (= @t241 @t240) @t238)))) % 157.65/157.92 (assume @p159 (forall @t248 (=> @t247 (= (= @t246 @t245) @t238)))) % 157.65/157.92 (assume @p160 (forall @t253 (=> @t252 (= (= @t251 @t250) @t238)))) % 157.65/157.92 (assume @p161 (forall @t47 (= (_ @t244 tptp.one_one_nat) @t45))) % 157.65/157.92 (assume @p162 (forall @t58 (= (_ @t249 tptp.one_one_nat) @t56))) % 157.65/157.92 (assume @p163 (forall @t101 (= (= @t256 tptp.zero_zero_real) @t255))) % 157.65/157.92 (assume @p164 (forall @t260 (= (= (_ @t259 @t45) (_ @t259 @t95)) @t258))) % 157.65/157.92 (assume @p165 (forall @t139 (= (= @t262 @t261) @t258))) % 157.65/157.92 (assume @p166 (forall @t4 (= (_ (_ tptp.power_power_int tptp.one_one_int) @t1) tptp.one_one_int))) % 157.65/157.92 (assume @p167 (forall @t4 (= (_ (_ tptp.power_power_real tptp.one_one_real) @t1) tptp.one_one_real))) % 157.65/157.92 (assume @p168 (forall @t4 (= (_ (_ tptp.power_power_nat tptp.one_one_nat) @t1) tptp.one_one_nat))) % 157.65/157.92 (assume @p169 (forall (@list @t194 @t1) (= (_ @t32 (_ (_ tptp.power_power_nat @t194) @t1)) (or (_ @t32 @t194) @t31)))) % 157.65/157.92 (assume @p170 (forall @t101 @t263)) % 157.65/157.92 (assume @p171 (forall @t101 (= @t266 @t265))) % 157.65/157.92 (assume @p172 (forall @t101 (= (= tptp.one_one_real @t256) @t265))) % 157.65/157.92 (assume @p173 (forall @t47 (and (=> @t63 (= @t104 tptp.zero_zero_real)) @t106))) % 157.65/157.92 (assume @p174 (forall @t268 (= (= @t232 tptp.one_one_real) @t267))) % 157.65/157.92 (assume @p175 (forall @t268 (= (= tptp.one_one_real @t232) @t267))) % 157.65/157.92 (assume @p176 (forall @t47 (= (= @t230 tptp.zero_zero_real) @t63))) % 157.65/157.92 (assume @p177 (forall @t47 (= (= tptp.zero_zero_real @t230) @t63))) % 157.65/157.92 (assume @p178 (forall @t222 (= @t269 (and @t64 @t33)))) % 157.65/157.92 (assume @p179 (forall @t224 (= @t270 (and @t63 @t33)))) % 157.65/157.92 (assume @p180 (forall @t272 (= @t271 (and @t107 @t33)))) % 157.65/157.92 (assume @p181 (forall @t37 (= (_ (_ tptp.ord_less_int (_ tptp.abs_abs_int @t34)) tptp.one_one_int) @t113))) % 157.65/157.92 (assume @p182 (forall (@list @t273 @t216 @t1) (=> (_ @t32 @t273) (=> (_ (_ tptp.ord_less_nat (_ @t274 @t216)) (_ @t274 @t1)) @t218)))) % 157.65/157.92 (assume @p183 (forall (@list @t275) (= (_ @t276 tptp.zero_zero_int) @t275))) % 157.65/157.92 (assume @p184 (forall (@list @t277 @t275 @t278) (=> (_ (_ tptp.ord_less_int @t277) @t275) (=> (_ @t278 (_ @t276 tptp.one_one_int)) (=> (forall @t283 (=> (_ @t282 @t275) (=> @t281 @t280))) (_ @t278 @t277)))))) % 157.65/157.92 (assume @p185 (forall @t286 (exists (@list @t285) (_ (_ tptp.ord_less_real @t285) @t284)))) % 157.65/157.92 (assume @p186 (forall @t286 (exists (@list @t287) (_ (_ tptp.ord_less_real @t284) @t287)))) % 157.65/157.92 (assume @p187 (forall @t222 (=> @t109 (not @t269)))) % 157.65/157.92 (assume @p188 (forall @t224 (=> @t105 (not @t270)))) % 157.65/157.92 (assume @p189 (forall @t272 (=> @t108 (not @t271)))) % 157.65/157.92 (assume @p190 (forall @t4 (=> @t33 @t289))) % 157.65/157.92 (assume @p191 (forall @t4 (=> @t33 @t291))) % 157.65/157.92 (assume @p192 (forall @t4 (=> @t33 @t293))) % 157.65/157.92 (assume @p193 (forall @t177 (= (_ (_ tptp.divide_divide_real @t98) @t137) (_ (_ tptp.minus_minus_real @t262) @t261)))) % 157.65/157.92 (assume @p194 (forall @t50 (= (_ @t239 tptp.zero_zero_nat) tptp.one_one_int))) % 157.65/157.92 (assume @p195 (forall @t47 (= (_ @t244 tptp.zero_zero_nat) tptp.one_one_real))) % 157.65/157.92 (assume @p196 (forall @t58 (= (_ @t249 tptp.zero_zero_nat) tptp.one_one_nat))) % 157.65/157.92 (assume @p197 (forall (@list @t45 @t95 @t1) (= (_ (_ tptp.power_power_real @t256) @t1) (_ (_ tptp.divide_divide_real @t245) @t227)))) % 157.65/157.92 (assume @p198 (forall @t222 (= (_ tptp.abs_abs_int @t240) @t221))) % 157.65/157.92 (assume @p199 (forall @t224 (= (_ tptp.abs_abs_real @t245) @t223))) % 157.65/157.92 (assume @p200 (forall @t201 (=> @t297 (=> @t296 @t295)))) % 157.65/157.92 (assume @p201 (forall @t201 (=> @t297 (=> @t299 @t298)))) % 157.65/157.92 (assume @p202 (forall @t201 (=> @t300 (=> @t296 @t298)))) % 157.65/157.92 (assume @p203 (forall @t201 (=> @t300 (=> @t299 @t295)))) % 157.65/157.92 (assume @p204 (forall @t101 (= (_ (_ tptp.ord_less_real @t256) tptp.zero_zero_real) (or (and @t206 @t301) (and @t234 @t228))))) % 157.65/157.92 (assume @p205 (forall @t139 (= @t305 (and (=> @t304 @t176) (=> @t303 @t97) @t302)))) % 157.65/157.92 (assume @p206 (forall @t101 (= (_ @t5 @t256) (or (and @t206 @t228) (and @t234 @t301))))) % 157.65/157.92 (assume @p207 (forall @t177 (=> @t176 (=> @t304 @t305)))) % 157.65/157.92 (assume @p208 (forall @t178 (=> @t97 (=> @t303 @t305)))) % 157.65/157.92 (assume @p209 (forall @t222 (=> @t205 (_ @t27 @t240)))) % 157.65/157.92 (assume @p210 (forall @t224 (=> @t206 (_ @t5 @t245)))) % 157.65/157.92 (assume @p211 (forall @t272 (=> @t306 (_ @t32 @t250)))) % 157.65/157.92 (assume @p212 (forall @t268 (=> @t264 (= @t266 @t147)))) % 157.65/157.92 (assume @p213 (forall @t4 (and (=> @t31 (= @t288 tptp.one_one_int)) (=> @t215 @t289)))) % 157.65/157.92 (assume @p214 (forall @t4 (and (=> @t31 (= @t290 tptp.one_one_real)) (=> @t215 @t291)))) % 157.65/157.92 (assume @p215 (forall @t4 (and (=> @t31 (= @t292 tptp.one_one_nat)) (=> @t215 @t293)))) % 157.65/157.92 (assume @p216 (forall @t243 (=> @t242 (=> (_ (_ tptp.ord_less_int @t241) @t240) @t218)))) % 157.65/157.92 (assume @p217 (forall @t248 (=> @t247 (=> (_ (_ tptp.ord_less_real @t246) @t245) @t218)))) % 157.65/157.92 (assume @p218 (forall @t253 (=> @t252 (=> (_ (_ tptp.ord_less_nat @t251) @t250) @t218)))) % 157.65/157.92 (assume @p219 (forall @t310 (=> @t309 (=> @t242 (_ (_ tptp.ord_less_int @t240) @t308))))) % 157.65/157.92 (assume @p220 (forall @t312 (=> @t309 (=> @t247 (_ (_ tptp.ord_less_real @t245) @t311))))) % 157.65/157.92 (assume @p221 (forall @t314 (=> @t309 (=> @t252 (_ (_ tptp.ord_less_nat @t250) @t313))))) % 157.65/157.92 (assume @p222 (forall @t222 (=> @t242 (=> @t33 (_ @t3 @t240))))) % 157.65/157.92 (assume @p223 (forall @t224 (=> @t247 (=> @t33 (_ @t39 @t245))))) % 157.65/157.92 (assume @p224 (forall @t272 (=> @t252 (=> @t33 (_ @t44 @t250))))) % 157.65/157.92 (assume @p225 (forall @t224 (= (_ (_ tptp.power_power_real @t230) @t1) (_ @t117 @t245)))) % 157.65/157.92 (assume @p226 (forall @t268 (=> @t264 @t263))) % 157.65/157.92 (assume @p227 (forall @t268 (= @t235 (or (and @t206 @t97) (and @t234 @t176) @t63)))) % 157.65/157.92 (assume @p228 (forall @t268 (= @t233 (or (and @t206 @t176) (and @t234 @t97))))) % 157.65/157.92 (assume @p229 (forall @t310 (=> @t309 (=> @t205 (=> (_ @t172 tptp.one_one_int) (_ (_ tptp.ord_less_int @t308) @t240)))))) % 157.65/157.92 (assume @p230 (forall @t312 (=> @t309 (=> @t206 (=> (_ @t175 tptp.one_one_real) (_ (_ tptp.ord_less_real @t311) @t245)))))) % 157.65/157.92 (assume @p231 (forall @t314 (=> @t309 (=> @t306 (=> (_ @t315 tptp.one_one_nat) (_ (_ tptp.ord_less_nat @t313) @t250)))))) % 157.65/157.92 (assume @p232 (forall @t317 (=> @t299 (= (_ (_ tptp.divide_divide_real @t316) @t197) (_ tptp.abs_abs_real @t294))))) % 157.65/157.92 (assume @p233 (forall @t193 (= (_ (_ tptp.member_real @t316) tptp.field_1537545994s_real) @t14))) % 157.65/157.92 (assume @p234 (forall @t193 (=> @t14 (not (forall (@list @t319 @t318) (=> (_ @t27 @t318) (not (= @t11 (_ (_ tptp.divide_divide_real (_ tptp.ring_1_of_int_real @t319)) (_ tptp.ring_1_of_int_real @t318)))))))))) % 157.65/157.92 (assume @p235 (forall @t321 (=> @t33 (=> @t206 (exists (@list @t320) (and (_ @t5 @t320) (= (_ (_ tptp.power_power_real @t320) @t1) @t45))))))) % 157.65/157.92 (assume @p236 (forall @t321 (=> @t33 (=> @t206 (exists @t325 (and (_ @t5 @t322) (= (_ (_ tptp.power_power_real @t322) @t1) @t45) (forall @t324 (=> (and (_ @t5 @t323) (= (_ (_ tptp.power_power_real @t323) @t1) @t45)) (= @t323 @t322))))))))) % 157.65/157.92 (assume @p237 (forall @t4 (= (_ @t220 tptp.one_one_nat) @t31))) % 157.65/157.92 (assume @p238 (forall @t327 (= (_ @t326 @t216) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p239 (forall @t4 (= (_ @t59 @t1) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p240 (forall @t58 (= @t108 @t306))) % 157.65/157.92 (assume @p241 (forall @t329 (= (_ @t32 @t328) @t218))) % 157.65/157.92 (assume @p242 (forall @t4 (= @t215 @t33))) % 157.65/157.92 (assume @p243 (forall @t327 (= (_ @t326 tptp.zero_zero_nat) @t216))) % 157.65/157.92 (assume @p244 (forall @t219 (=> (= @t330 tptp.zero_zero_nat) (=> (= @t328 tptp.zero_zero_nat) @t238)))) % 157.65/157.92 (assume @p245 (forall (@list @t332 @t331 @t1) (=> (_ (_ tptp.ord_less_nat @t332) @t331) (_ (_ tptp.ord_less_nat (_ (_ tptp.minus_minus_nat @t332) @t1)) @t331)))) % 157.65/157.92 (assume @p246 (forall (@list @t194 @t236) (=> (not (= @t194 @t236)) (=> (not @t237) (_ (_ tptp.ord_less_nat @t236) @t194))))) % 157.65/157.92 (assume @p247 (forall @t341 (=> (forall @t88 @t340) @t334))) % 157.65/157.92 (assume @p248 (forall @t341 (=> (forall @t88 (=> (forall @t338 (=> @t337 @t336)) @t339)) @t334))) % 157.65/157.92 (assume @p249 (forall @t4 (not (_ @t220 @t1)))) % 157.65/157.92 (assume @p250 (forall (@list @t216 @t1 @t342) (=> @t218 (=> (_ @t217 @t342) (_ (_ tptp.ord_less_nat (_ @t343 @t1)) (_ @t343 @t216)))))) % 157.65/157.92 (assume @p251 (forall (@list @t345 @t344) (=> (_ (_ tptp.ord_less_nat @t345) @t344) (not (= @t345 @t344))))) % 157.65/157.92 (assume @p252 (forall @t329 (=> @t225 @t346))) % 157.65/157.92 (assume @p253 (forall @t219 (= @t346 (or @t218 @t225)))) % 157.65/157.92 (assume @p254 (forall (@list @t350 @t347) (=> (_ @t5 @t350) (=> (_ @t5 @t347) (exists (@list @t348) (and (_ @t5 @t348) (_ @t349 @t350) (_ @t349 @t347))))))) % 157.65/157.92 (assume @p255 (forall @t58 (not (_ @t315 tptp.zero_zero_nat)))) % 157.65/157.92 (assume @p256 (forall @t341 (=> (_ @t333 tptp.zero_zero_nat) (=> (forall @t88 (=> (_ @t32 @t83) @t340)) @t334)))) % 157.65/157.92 (assume @p257 (forall @t329 (=> @t33 (=> @t351 (_ (_ tptp.ord_less_nat @t330) @t216))))) % 157.65/157.92 (assume @p258 (forall @t201 (=> @t200 (exists @t325 (and @t353 (_ @t199 @t322) (_ @t352 @t197)))))) % 157.65/157.92 (assume @p259 (forall @t193 (exists @t325 (and @t353 (_ @t352 @t11))))) % 157.65/157.92 (assume @p260 (forall @t201 (=> @t188 (exists @t88 (_ @t198 @t354))))) % 157.65/157.92 (assume @p261 (forall @t317 (=> @t299 (=> (_ @t199 tptp.one_one_real) (exists @t88 (_ (_ tptp.ord_less_real @t354) @t197)))))) % 157.65/157.92 (assume @p262 (forall @t219 (=> @t218 @t356))) % 157.65/157.92 (assume @p263 (forall (@list @t273 @t332 @t331) (= (_ (_ tptp.minus_minus_nat (_ @t357 @t332)) @t331) (_ (_ tptp.minus_minus_nat (_ @t357 @t331)) @t332)))) % 157.65/157.92 (assume @p264 (forall @t219 (= @t356 (or @t218 @t31)))) % 157.65/157.92 (assume @p265 (forall @t329 (=> (_ @t44 @t1) (=> @t351 (_ (_ tptp.ord_less_nat @t355) @t216))))) % 157.65/157.92 (assume @p266 (forall @t219 (=> @t351 (= (= @t355 @t216) (= @t1 tptp.one_one_nat))))) % 157.65/157.92 (assume @p267 (forall (@list @t278 @t358) (=> (forall @t283 (=> (=> (not (_ @t282 tptp.zero_zero_int)) (=> (not (= @t279 tptp.zero_zero_int)) @t280)) @t281)) (_ @t278 @t358)))) % 157.65/157.92 (assume @p268 (forall (@list @t45 @t11 @t95) (=> (_ @t175 @t11) (=> (_ @t199 @t95) (exists (@list @t359) (and (_ @t5 @t359) (forall @t324 (=> (_ (_ tptp.ord_less_real (_ tptp.abs_abs_real (_ @t157 @t323))) @t359) (and (_ @t175 @t323) (_ (_ tptp.ord_less_real @t323) @t95)))))))))) % 157.65/157.92 (assume @p269 (forall (@list @t71 @t275) (=> (_ @t27 @t71) (=> (_ @t3 @t275) (_ (_ tptp.ord_less_int (_ (_ tptp.divide_divide_int @t71) @t275)) @t71))))) % 157.65/157.92 (assume @p270 (= @t118 (_ (_ tptp.times_times_real (_ @t117 (_ @t18 tptp.r))) (_ @t117 @t19)))) % 157.65/157.92 (assume @p271 (forall @t142 (= (= @t364 @t362) @t361))) % 157.65/157.92 (assume @p272 (forall @t145 (= (= @t369 @t367) @t366))) % 157.65/157.92 (assume @p273 (forall @t139 (= (= @t373 @t371) @t258))) % 157.65/157.92 (assume @p274 (forall @t377 (= (= @t376 @t375) @t361))) % 157.65/157.92 (assume @p275 (forall @t381 (= (= @t380 @t379) @t366))) % 157.65/157.92 (assume @p276 (forall @t260 (= (= @t384 @t383) @t258))) % 157.65/157.92 (assume @p277 (forall @t94 (= (= (_ @t363 @t68) tptp.zero_zero_int) (or @t64 (= @t68 tptp.zero_zero_int))))) % 157.65/157.92 (assume @p278 (forall (@list @t56 @t144) (= (= (_ @t368 @t144) tptp.zero_zero_nat) (or @t107 (= @t144 tptp.zero_zero_nat))))) % 157.65/157.92 (assume @p279 (forall @t101 (= (= @t385 tptp.zero_zero_real) @t255))) % 157.65/157.92 (assume @p280 (forall @t50 (= (_ @t363 tptp.zero_zero_int) tptp.zero_zero_int))) % 157.65/157.92 (assume @p281 (forall @t58 (= (_ @t368 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p282 (forall @t47 (= (_ @t372 tptp.zero_zero_real) tptp.zero_zero_real))) % 157.65/157.92 (assume @p283 (forall @t50 (= (_ (_ tptp.times_times_int tptp.zero_zero_int) @t48) tptp.zero_zero_int))) % 157.65/157.92 (assume @p284 (forall @t58 (= (_ (_ tptp.times_times_nat tptp.zero_zero_nat) @t56) tptp.zero_zero_nat))) % 157.65/157.92 (assume @p285 (forall @t47 (= (_ (_ tptp.times_times_real tptp.zero_zero_real) @t45) tptp.zero_zero_real))) % 157.65/157.92 (assume @p286 (forall @t50 (= (_ @t363 tptp.one_one_int) @t48))) % 157.65/157.92 (assume @p287 (forall @t58 (= (_ @t368 tptp.one_one_nat) @t56))) % 157.65/157.92 (assume @p288 (forall @t47 (= (_ @t372 tptp.one_one_real) @t45))) % 157.65/157.92 (assume @p289 (forall @t50 (= (_ (_ tptp.times_times_int tptp.one_one_int) @t48) @t48))) % 157.65/157.92 (assume @p290 (forall @t58 (= (_ (_ tptp.times_times_nat tptp.one_one_nat) @t56) @t56))) % 157.65/157.92 (assume @p291 (forall @t47 (= (_ (_ tptp.times_times_real tptp.one_one_real) @t45) @t45))) % 157.65/157.92 (assume @p292 (forall (@list @t95 @t137 @t45) (= (_ (_ tptp.times_times_real @t261) @t45) (_ (_ tptp.divide_divide_real (_ @t370 @t45)) @t137)))) % 157.65/157.92 (assume @p293 (forall @t177 (= (_ (_ tptp.divide_divide_real @t256) @t137) (_ @t60 @t371)))) % 157.65/157.92 (assume @p294 (forall @t177 (= (_ @t60 @t261) (_ (_ tptp.divide_divide_real @t373) @t95)))) % 157.65/157.92 (assume @p295 (forall @t177 (= (_ @t372 @t261) (_ (_ tptp.divide_divide_real @t385) @t137)))) % 157.65/157.92 (assume @p296 (forall @t50 (= (_ (_ tptp.times_times_int @t49) @t49) (_ @t363 @t48)))) % 157.65/157.92 (assume @p297 (forall @t47 (= (_ (_ tptp.times_times_real @t46) @t46) (_ @t372 @t45)))) % 157.65/157.92 (assume @p298 (forall @t53 (= (_ tptp.ring_1_of_int_real (_ (_ tptp.times_times_int @t51) @t34)) (_ (_ tptp.times_times_real @t52) @t38)))) % 157.65/157.92 (assume @p299 (forall (@list @t386 @t45) (= (_ (_ tptp.divide_divide_real (_ @t387 @t45)) (_ @t387 @t386)) (_ @t60 @t386)))) % 157.65/157.92 (assume @p300 (forall @t389 (= (= @t140 @t375) @t388))) % 157.65/157.92 (assume @p301 (forall @t391 (= (= @t137 @t383) @t390))) % 157.65/157.92 (assume @p302 (forall (@list @t140 @t48) (= (= @t376 @t140) @t392))) % 157.65/157.92 (assume @p303 (forall (@list @t137 @t45) (= (= @t384 @t137) @t393))) % 157.65/157.92 (assume @p304 (forall @t389 (= (= @t140 @t362) @t388))) % 157.65/157.92 (assume @p305 (forall @t391 (= (= @t137 @t371) @t390))) % 157.65/157.92 (assume @p306 (forall (@list @t48 @t140) (= (= @t364 @t140) @t392))) % 157.65/157.92 (assume @p307 (forall (@list @t45 @t137) (= (= @t373 @t137) @t393))) % 157.65/157.92 (assume @p308 (forall @t381 (and (=> @t365 (= @t395 tptp.zero_zero_nat)) @t397))) % 157.65/157.92 (assume @p309 (forall @t377 (and (=> @t360 (= @t399 tptp.zero_zero_int)) @t401))) % 157.65/157.92 (assume @p310 (forall @t381 (=> @t396 (= (_ (_ tptp.divide_divide_nat @t369) @t367) @t394)))) % 157.65/157.92 (assume @p311 (forall @t377 (=> @t400 (= (_ (_ tptp.divide_divide_int @t364) @t362) @t398)))) % 157.65/157.92 (assume @p312 (forall @t381 @t397)) % 157.65/157.92 (assume @p313 (forall @t377 @t401)) % 157.65/157.92 (assume @p314 (forall @t260 (and (=> @t257 (= @t402 tptp.zero_zero_real)) @t403))) % 157.65/157.92 (assume @p315 (forall @t260 @t403)) % 157.65/157.92 (assume @p316 (forall @t193 (= (not (_ @t5 (_ (_ tptp.times_times_real @t11) @t11))) @t192))) % 157.65/157.92 (assume @p317 (not false)) % 157.65/157.92 (assume @p318 true) % 157.65/157.92 (step @p319 (= tptp.liouvi1159869758uville @t411) :rule refl :args (@t411)) % 157.65/157.92 (step @p320 :rule evaluate :args ((= true false))) % 157.65/157.92 ; WARNING: add trust step for TRUST % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p321 :rule trust :premises () :args ((= (forall @t47 (not (tptp.ord_less_real @t426 @t425))) (forall @t47 (not (_ @t423 (_ @t422 @t421 @t420) @t418)))))) % 157.65/157.92 (step @p322 :rule refl :args ((tptp.minus_minus_real @t116 @t116))) % 157.65/157.92 (step @p323 :rule refl :args (@t424)) % 157.65/157.92 (step @p324 :rule cong :premises (@p323 @p323) :args (@t425)) % 157.65/157.92 (step @p325 :rule trans :premises (@p324 @p322)) % 157.65/157.92 (step @p326 :rule refl :args (tptp.minus_minus_real)) % 157.65/157.92 (step @p327 :rule ho_cong :premises (@p326 @p323)) % 157.65/157.92 (step @p328 :rule ho_cong :premises (@p327 @p323)) % 157.65/157.92 (step @p329 :rule cong :premises (@p328 @p325) :args ((= (_ (_ tptp.minus_minus_real @t424) @t424) @t425))) % 157.65/157.92 (step @p330 :rule symm :premises (@p329)) % 157.65/157.92 (step @p331 :rule refl :args (@t427)) % 157.65/157.92 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 157.65/157.92 (step @p333 :rule refl :args (@t116)) % 157.65/157.92 (step @p334 :rule cong :premises (@p333 @p323) :args ((= @t116 @t424))) % 157.65/157.92 (step @p335 :rule symm :premises (@p334)) % 157.65/157.92 (step @p336 :rule eq_resolve :premises (@p333 @p335)) % 157.65/157.92 (step @p337 :rule ho_cong :premises (@p326 @p336)) % 157.65/157.92 (step @p338 :rule ho_cong :premises (@p337 @p336)) % 157.65/157.92 (step @p339 :rule trans :premises (@p338 @p332)) % 157.65/157.92 (step @p340 :rule refl :args (@t426)) % 157.65/157.92 (step @p341 :rule cong :premises (@p340 @p339) :args (@t428)) % 157.65/157.92 (step @p342 :rule cong :premises (@p341) :args (@t429)) % 157.65/157.92 (step @p343 :rule cong :premises (@p342) :args ((forall @t47 @t429))) % 157.65/157.92 (step @p344 :rule symm :premises (@p80)) % 157.65/157.92 (step @p345 :rule refl :args (tptp.minus_minus_real)) % 157.65/157.92 (step @p346 :rule ho_cong :premises (@p345 @p344)) % 157.65/157.92 (step @p347 :rule ho_cong :premises (@p346 @p344)) % 157.65/157.92 (step @p348 :rule symm :premises (@p60)) % 157.65/157.92 (step @p349 :rule trans :premises (@p348 @p347)) % 157.65/157.92 (step @p350 :rule refl :args (@t426)) % 157.65/157.92 (step @p351 :rule cong :premises (@p350 @p349) :args (@t430)) % 157.65/157.92 (step @p352 :rule cong :premises (@p351) :args (@t431)) % 157.65/157.92 (step @p353 :rule cong :premises (@p352) :args ((forall @t47 @t431))) % 157.65/157.92 (step @p354 :rule trans :premises (@p353 @p343)) % 157.65/157.92 (step @p355 :rule refl :args ((tptp.ord_less_real @t46 tptp.zero_zero_real))) % 157.65/157.92 (step @p356 :rule refl :args (tptp.zero_zero_real)) % 157.65/157.92 (step @p357 :rule refl :args (@t426)) % 157.65/157.92 (step @p358 :rule cong :premises (@p357 @p356) :args (@t430)) % 157.65/157.92 (step @p359 :rule trans :premises (@p358 @p355)) % 157.65/157.92 (step @p360 :rule refl :args (tptp.ord_less_real)) % 157.65/157.92 (step @p361 :rule ho_cong :premises (@p360 @p357)) % 157.65/157.92 (step @p362 :rule ho_cong :premises (@p361 @p356)) % 157.65/157.92 (step @p363 :rule cong :premises (@p362 @p359) :args ((= (_ (_ tptp.ord_less_real @t426) tptp.zero_zero_real) @t430))) % 157.65/157.92 (step @p364 :rule symm :premises (@p363)) % 157.65/157.92 (step @p365 :rule refl :args (@t202)) % 157.65/157.92 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 157.65/157.92 (step @p367 :rule refl :args (@t46)) % 157.65/157.92 (step @p368 :rule cong :premises (@p367 @p357) :args ((= @t46 @t426))) % 157.65/157.92 (step @p369 :rule symm :premises (@p368)) % 157.65/157.92 (step @p370 :rule eq_resolve :premises (@p367 @p369)) % 157.65/157.92 (step @p371 :rule ho_cong :premises (@p360 @p370)) % 157.65/157.92 (step @p372 :rule ho_cong :premises (@p371 @p356)) % 157.65/157.92 (step @p373 :rule trans :premises (@p372 @p366)) % 157.65/157.92 (step @p374 :rule cong :premises (@p373) :args (@t203)) % 157.65/157.92 (step @p375 :rule cong :premises (@p374) :args (@t204)) % 157.65/157.92 (step @p376 :rule trans :premises (@p375 @p354 @p321)) % 157.65/157.92 (step @p377 :rule eq_resolve :premises (@p120 @p376)) % 157.65/157.92 (step @p378 :rule instantiate :premises (@p377) :args ((@list (_ @t417 (_ @t416 @t415 @t437) @t436)))) % 157.65/157.92 (step @p379 :rule false_intro :premises (@p378)) % 157.65/157.92 (step @p380 :rule refl :args (@t418)) % 157.65/157.92 (step @p381 :rule eq-symm :args (@t439 @t440)) % 157.65/157.92 (step @p382 :rule cong :premises (@p381) :args (@t441)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p383 :rule trust :premises () :args ((= (forall @t101 (= @t445 @t443)) @t441))) % 157.65/157.92 (step @p384 :rule refl :args ((tptp.abs_abs_real @t131))) % 157.65/157.92 (step @p385 :rule refl :args (@t442)) % 157.65/157.92 (step @p386 :rule cong :premises (@p385) :args (@t443)) % 157.65/157.92 (step @p387 :rule trans :premises (@p386 @p384)) % 157.65/157.92 (step @p388 :rule refl :args (tptp.abs_abs_real)) % 157.65/157.92 (step @p389 :rule ho_cong :premises (@p388 @p385)) % 157.65/157.92 (step @p390 :rule cong :premises (@p389 @p387) :args ((= (_ tptp.abs_abs_real @t442) @t443))) % 157.65/157.92 (step @p391 :rule symm :premises (@p390)) % 157.65/157.92 (step @p392 :rule refl :args (@t132)) % 157.65/157.92 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 157.65/157.92 (step @p394 :rule refl :args (@t131)) % 157.65/157.92 (step @p395 :rule cong :premises (@p394 @p385) :args ((= @t131 @t442))) % 157.65/157.92 (step @p396 :rule symm :premises (@p395)) % 157.65/157.92 (step @p397 :rule eq_resolve :premises (@p394 @p396)) % 157.65/157.92 (step @p398 :rule ho_cong :premises (@p388 @p397)) % 157.65/157.92 (step @p399 :rule trans :premises (@p398 @p393)) % 157.65/157.92 (step @p400 :rule refl :args ((tptp.abs_abs_real @t98))) % 157.65/157.92 (step @p401 :rule refl :args (@t444)) % 157.65/157.92 (step @p402 :rule cong :premises (@p401) :args (@t445)) % 157.65/157.92 (step @p403 :rule trans :premises (@p402 @p400)) % 157.65/157.92 (step @p404 :rule ho_cong :premises (@p388 @p401)) % 157.65/157.92 (step @p405 :rule cong :premises (@p404 @p403) :args ((= (_ tptp.abs_abs_real @t444) @t445))) % 157.65/157.92 (step @p406 :rule symm :premises (@p405)) % 157.65/157.92 (step @p407 :rule refl :args (@t133)) % 157.65/157.92 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 157.65/157.92 (step @p409 :rule refl :args (@t98)) % 157.65/157.92 (step @p410 :rule cong :premises (@p409 @p401) :args ((= @t98 @t444))) % 157.65/157.92 (step @p411 :rule symm :premises (@p410)) % 157.65/157.92 (step @p412 :rule eq_resolve :premises (@p409 @p411)) % 157.65/157.92 (step @p413 :rule ho_cong :premises (@p388 @p412)) % 157.65/157.92 (step @p414 :rule trans :premises (@p413 @p408)) % 157.65/157.92 (step @p415 :rule cong :premises (@p414 @p399) :args (@t134)) % 157.65/157.92 (step @p416 :rule cong :premises (@p415) :args (@t135)) % 157.65/157.92 (step @p417 :rule trans :premises (@p416 @p383 @p382)) % 157.65/157.92 (step @p418 :rule eq_resolve :premises (@p92 @p417)) % 157.65/157.92 (step @p419 :rule instantiate :premises (@p418) :args ((@list @t437 @t436))) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p420 :rule trust :premises () :args ((= (forall @t47 (or (not (tptp.ord_less_real @t425 @t45)) @t447)) (forall @t47 (or (not (_ @t423 @t446 @t45)) (= @t45 @t420)))))) % 157.65/157.92 (step @p421 :rule refl :args (@t447)) % 157.65/157.92 (step @p422 :rule refl :args (@t45)) % 157.65/157.92 (step @p423 :rule cong :premises (@p339 @p422) :args (@t448)) % 157.65/157.92 (step @p424 :rule cong :premises (@p423) :args (@t449)) % 157.65/157.92 (step @p425 :rule nary_cong :premises (@p424 @p421) :args (@t450)) % 157.65/157.92 (step @p426 :rule cong :premises (@p425) :args ((forall @t47 @t450))) % 157.65/157.92 (step @p427 :rule refl :args (@t447)) % 157.65/157.92 (step @p428 :rule refl :args (@t45)) % 157.65/157.92 (step @p429 :rule cong :premises (@p349 @p428) :args (@t451)) % 157.65/157.92 (step @p430 :rule cong :premises (@p429) :args (@t452)) % 157.65/157.92 (step @p431 :rule nary_cong :premises (@p430 @p427) :args (@t453)) % 157.65/157.92 (step @p432 :rule cong :premises (@p431) :args ((forall @t47 @t453))) % 157.65/157.92 (step @p433 :rule trans :premises (@p432 @p426)) % 157.65/157.92 (step @p434 :rule cong :premises (@p422 @p370) :args (@t454)) % 157.65/157.92 (step @p435 :rule refl :args (@t451)) % 157.65/157.92 (step @p436 :rule refl :args (@t206)) % 157.65/157.92 (step @p437 :rule cong :premises (@p436 @p435) :args ((= @t206 @t451))) % 157.65/157.92 (step @p438 :rule symm :premises (@p437)) % 157.65/157.92 (step @p439 :rule eq_resolve :premises (@p436 @p438)) % 157.65/157.92 (step @p440 :rule cong :premises (@p439) :args (@t455)) % 157.65/157.92 (step @p441 :rule nary_cong :premises (@p440 @p434) :args (@t456)) % 157.65/157.92 (step @p442 :rule cong :premises (@p441) :args ((forall @t47 @t456))) % 157.65/157.92 (step @p443 :rule bool-impl-elim :args (@t206 @t454)) % 157.65/157.92 (step @p444 :rule cong :premises (@p443) :args ((forall @t47 (=> @t206 @t454)))) % 157.65/157.92 (step @p445 :rule trans :premises (@p444 @p442)) % 157.65/157.92 (step @p446 :rule eq-symm :args (@t46 @t45)) % 157.65/157.92 (step @p447 :rule refl :args (@t206)) % 157.65/157.92 (step @p448 :rule cong :premises (@p447 @p446) :args (@t207)) % 157.65/157.92 (step @p449 :rule cong :premises (@p448) :args (@t208)) % 157.65/157.92 (step @p450 :rule trans :premises (@p449 @p445)) % 157.65/157.92 (step @p451 :rule trans :premises (@p450 @p433 @p420)) % 157.65/157.92 (step @p452 :rule eq_resolve :premises (@p122 @p451)) % 157.65/157.92 (step @p453 :rule instantiate :premises (@p452) :args ((@list @t457))) % 157.65/157.92 (step @p454 :rule eq-symm :args (@t458 @t459)) % 157.65/157.92 (step @p455 :rule cong :premises (@p454) :args (@t460)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p456 :rule trust :premises () :args ((= (forall @t101 (= @t461 (tptp.ord_less_real @t425 @t444))) @t460))) % 157.65/157.92 (step @p457 :rule refl :args (@t444)) % 157.65/157.92 (step @p458 :rule cong :premises (@p339 @p457) :args (@t462)) % 157.65/157.92 (step @p459 :rule refl :args (@t461)) % 157.65/157.92 (step @p460 :rule cong :premises (@p459 @p458) :args (@t463)) % 157.65/157.92 (step @p461 :rule cong :premises (@p460) :args ((forall @t101 @t463))) % 157.65/157.92 (step @p462 :rule eq-symm :args (@t462 @t461)) % 157.65/157.92 (step @p463 :rule cong :premises (@p462) :args ((forall @t101 (= @t462 @t461)))) % 157.65/157.92 (step @p464 :rule trans :premises (@p463 @p461)) % 157.65/157.92 (step @p465 :rule refl :args (@t461)) % 157.65/157.92 (step @p466 :rule refl :args (@t444)) % 157.65/157.92 (step @p467 :rule cong :premises (@p349 @p466) :args (@t464)) % 157.65/157.92 (step @p468 :rule cong :premises (@p467 @p465) :args (@t465)) % 157.65/157.92 (step @p469 :rule cong :premises (@p468) :args ((forall @t101 @t465))) % 157.65/157.92 (step @p470 :rule trans :premises (@p469 @p464)) % 157.65/157.92 (step @p471 :rule refl :args (@t461)) % 157.65/157.92 (step @p472 :rule refl :args (@t97)) % 157.65/157.92 (step @p473 :rule cong :premises (@p472 @p471) :args ((= @t97 @t461))) % 157.65/157.92 (step @p474 :rule symm :premises (@p473)) % 157.65/157.92 (step @p475 :rule eq_resolve :premises (@p472 @p474)) % 157.65/157.92 (step @p476 :rule refl :args ((tptp.ord_less_real tptp.zero_zero_real @t98))) % 157.65/157.92 (step @p477 :rule cong :premises (@p356 @p401) :args (@t464)) % 157.65/157.92 (step @p478 :rule trans :premises (@p477 @p476)) % 157.65/157.92 (step @p479 :rule refl :args (@t5)) % 157.65/157.92 (step @p480 :rule ho_cong :premises (@p479 @p401)) % 157.65/157.92 (step @p481 :rule cong :premises (@p480 @p478) :args ((= (_ @t5 @t444) @t464))) % 157.65/157.92 (step @p482 :rule symm :premises (@p481)) % 157.65/157.92 (step @p483 :rule refl :args (@t99)) % 157.65/157.92 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 157.65/157.92 (step @p485 :rule ho_cong :premises (@p479 @p412)) % 157.65/157.92 (step @p486 :rule trans :premises (@p485 @p484)) % 157.65/157.92 (step @p487 :rule cong :premises (@p486 @p475) :args (@t100)) % 157.65/157.92 (step @p488 :rule cong :premises (@p487) :args (@t102)) % 157.65/157.92 (step @p489 :rule trans :premises (@p488 @p470 @p456 @p455)) % 157.65/157.92 (step @p490 :rule eq_resolve :premises (@p59 @p489)) % 157.65/157.92 (step @p491 :rule eq-symm :args (@t466 @t467)) % 157.65/157.92 (step @p492 :rule refl :args (@t468)) % 157.65/157.92 (step @p493 :rule cong :premises (@p492 @p491) :args ((=> @t468 @t469))) % 157.65/157.92 (assume-push @p644 @t468) % 157.65/157.92 (step @p495 :rule instantiate :premises (@p490) :args (@t470)) % 157.65/157.92 (step-pop @p645 :rule scope :premises (@p495)) % 157.65/157.92 (step @p496 :rule process_scope :premises (@p645) :args (@t469)) % 157.65/157.92 (step @p498 :rule eq_resolve :premises (@p496 @p493)) % 157.65/157.92 (step @p499 :rule implies_elim :premises (@p498)) % 157.65/157.92 (step @p500 :rule chain_m_resolution :premises (@p499 @p490) :args (@t471 @t472 (@list @t468))) % 157.65/157.92 (step @p501 :rule eq-symm :args (@t478 @t484)) % 157.65/157.92 (step @p502 :rule cong :premises (@p501) :args (@t486)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p503 :rule trust :premises () :args ((= @t488 @t486))) % 157.65/157.92 (step @p504 :rule trans :premises (@p503 @p502)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 157.65/157.92 (step @p505 :rule trust :premises () :args (@t488)) % 157.65/157.92 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 157.65/157.92 (step @p507 :rule instantiate :premises (@p506) :args ((@list @t482 @t433))) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p508 :rule trust :premises () :args ((= (forall @t184 (or (not @t493) (not @t492) @t491)) (forall @t184 (or (not (_ @t477 (_ @t476 @t483 @t48) @t68)) (not (_ @t477 (_ @t476 @t483 @t151) @t140)) (_ @t477 (_ @t476 @t483 (_ @t481 (_ @t480 @t479 @t48) @t140)) (_ @t481 (_ @t480 @t479 @t68) @t151))))))) % 157.65/157.92 (step @p509 :rule refl :args ((tptp.ord_less_int @t141 @t180))) % 157.65/157.92 (step @p510 :rule refl :args (@t489)) % 157.65/157.92 (step @p511 :rule refl :args (@t490)) % 157.65/157.92 (step @p512 :rule cong :premises (@p511 @p510) :args (@t491)) % 157.65/157.92 (step @p513 :rule trans :premises (@p512 @p509)) % 157.65/157.92 (step @p514 :rule refl :args (tptp.ord_less_int)) % 157.65/157.92 (step @p515 :rule ho_cong :premises (@p514 @p511)) % 157.65/157.92 (step @p516 :rule ho_cong :premises (@p515 @p510)) % 157.65/157.92 (step @p517 :rule cong :premises (@p516 @p513) :args ((= (_ (_ tptp.ord_less_int @t490) @t489) @t491))) % 157.65/157.92 (step @p518 :rule symm :premises (@p517)) % 157.65/157.92 (step @p519 :rule refl :args (@t181)) % 157.65/157.92 (step @p520 :rule eq_resolve :premises (@p519 @p518)) % 157.65/157.92 (step @p521 :rule refl :args (@t180)) % 157.65/157.92 (step @p522 :rule cong :premises (@p521 @p510) :args ((= @t180 @t489))) % 157.65/157.92 (step @p523 :rule symm :premises (@p522)) % 157.65/157.92 (step @p524 :rule eq_resolve :premises (@p521 @p523)) % 157.65/157.92 (step @p525 :rule refl :args (@t141)) % 157.65/157.92 (step @p526 :rule cong :premises (@p525 @p511) :args ((= @t141 @t490))) % 157.65/157.92 (step @p527 :rule symm :premises (@p526)) % 157.65/157.92 (step @p528 :rule eq_resolve :premises (@p525 @p527)) % 157.65/157.92 (step @p529 :rule ho_cong :premises (@p514 @p528)) % 157.65/157.92 (step @p530 :rule ho_cong :premises (@p529 @p524)) % 157.65/157.92 (step @p531 :rule trans :premises (@p530 @p520)) % 157.65/157.92 (step @p532 :rule refl :args (@t492)) % 157.65/157.92 (step @p533 :rule refl :args (@t182)) % 157.65/157.92 (step @p534 :rule cong :premises (@p533 @p532) :args ((= @t182 @t492))) % 157.65/157.92 (step @p535 :rule symm :premises (@p534)) % 157.65/157.92 (step @p536 :rule eq_resolve :premises (@p533 @p535)) % 157.65/157.92 (step @p537 :rule cong :premises (@p536) :args (@t494)) % 157.65/157.92 (step @p538 :rule refl :args (@t493)) % 157.65/157.92 (step @p539 :rule refl :args (@t173)) % 157.65/157.92 (step @p540 :rule cong :premises (@p539 @p538) :args ((= @t173 @t493))) % 157.65/157.92 (step @p541 :rule symm :premises (@p540)) % 157.65/157.92 (step @p542 :rule eq_resolve :premises (@p539 @p541)) % 157.65/157.92 (step @p543 :rule cong :premises (@p542) :args (@t495)) % 157.65/157.92 (step @p544 :rule nary_cong :premises (@p543 @p537 @p531) :args (@t496)) % 157.65/157.92 (step @p545 :rule cong :premises (@p544) :args ((forall @t184 @t496))) % 157.65/157.92 (step @p546 :rule aci_norm :args ((= (or @t495 (or @t494 @t181)) @t496))) % 157.65/157.92 (step @p547 :rule bool-impl-elim :args (@t182 @t181)) % 157.65/157.92 (step @p548 :rule refl :args (@t495)) % 157.65/157.92 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t495 @t183))) % 157.65/157.92 (step @p550 :rule trans :premises (@p549 @p546)) % 157.65/157.92 (step @p551 :rule bool-impl-elim :args (@t173 @t183)) % 157.65/157.92 (step @p552 :rule trans :premises (@p551 @p550)) % 157.65/157.92 (step @p553 :rule cong :premises (@p552) :args (@t185)) % 157.65/157.92 (step @p554 :rule trans :premises (@p553 @p545)) % 157.65/157.92 (step @p555 :rule trans :premises (@p554 @p508)) % 157.65/157.92 (step @p556 :rule eq_resolve :premises (@p108 @p555)) % 157.65/157.92 (step @p557 :rule instantiate :premises (@p556) :args ((@list @t482 tptp.one_one_int tptp.one_one_int @t433))) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p558 :rule trust :premises () :args ((= (_ @t499 tptp.one_one_int) @t498))) % 157.65/157.92 (step @p559 :rule refl :args (tptp.one_one_int)) % 157.65/157.92 (step @p560 :rule symm :premises (@p61)) % 157.65/157.92 (step @p561 :rule refl :args (tptp.ord_less_int)) % 157.65/157.92 (step @p562 :rule ho_cong :premises (@p561 @p560)) % 157.65/157.92 (step @p563 :rule ho_cong :premises (@p562 @p559)) % 157.65/157.92 (step @p564 :rule trans :premises (@p563 @p558)) % 157.65/157.92 (step @p565 :rule eq_resolve :premises (@p17 @p564)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p566 :rule trust :premises () :args ((= @t7 @t500))) % 157.65/157.92 (step @p567 :rule eq_resolve :premises (@p6 @p566)) % 157.65/157.92 (step @p568 :rule cnf_or_pos :args (@t504)) % 157.65/157.92 (step @p569 :rule reordering :premises (@p568) :args ((or @t502 @t503 @t501 (not @t504)))) % 157.65/157.92 (step @p570 :rule chain_m_resolution :premises (@p569 @p567 @p565 @p557) :args (@t501 (@list false false false) (@list @t500 @t498 @t504))) % 157.65/157.92 (step @p571 :rule cnf_equiv_pos1 :args (@t506)) % 157.65/157.92 (step @p572 :rule reordering :premises (@p571) :args ((or @t505 (not @t501) (not @t506)))) % 157.65/157.92 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p507) :args (@t505 @t507 (@list @t501 @t506))) % 157.65/157.92 (step @p574 :rule true_intro :premises (@p573)) % 157.65/157.92 (step @p575 :rule refl :args (@t433)) % 157.65/157.92 (step @p576 :rule refl :args (@t482)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p577 :rule trust :premises () :args ((= @t508 (= @t483 @t475)))) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p578 :rule trust :premises () :args ((= (= tptp.ord_less_int (lambda @t168 (_ @t209 @t103))) @t508))) % 157.65/157.92 (step @p579 :rule refl :args (@t209)) % 157.65/157.92 (step @p580 :rule ho_cong :premises (@p579 @p560)) % 157.65/157.92 (step @p581 :rule cong :premises (@p580) :args (@t210)) % 157.65/157.92 (step @p582 :rule cong :premises (@p561 @p581) :args (@t211)) % 157.65/157.92 (step @p583 :rule trans :premises (@p582 @p578 @p577)) % 157.65/157.92 (step @p584 :rule eq_resolve :premises (@p126 @p583)) % 157.65/157.92 (step @p585 :rule cong :premises (@p584 @p576) :args (@t497)) % 157.65/157.92 (step @p586 :rule cong :premises (@p585 @p575) :args (@t509)) % 157.65/157.92 (step @p587 :rule trans :premises (@p586 @p574)) % 157.65/157.92 (step @p588 :rule true_elim :premises (@p587)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p589 :rule trust :premises () :args ((= (=> (_ @t499 @t6) @t26) (=> @t509 @t467)))) % 157.65/157.92 (step @p590 :rule refl :args (@t26)) % 157.65/157.92 (step @p591 :rule refl :args (@t6)) % 157.65/157.92 (step @p592 :rule ho_cong :premises (@p562 @p591)) % 157.65/157.92 (step @p593 :rule cong :premises (@p592 @p590) :args (@t28)) % 157.65/157.92 (step @p594 :rule trans :premises (@p593 @p589)) % 157.65/157.92 (step @p595 :rule eq_resolve :premises (@p10 @p594)) % 157.65/157.92 (step @p596 :rule implies_elim :premises (@p595)) % 157.65/157.92 (step @p597 :rule reordering :premises (@p596) :args ((or @t467 (not @t509)))) % 157.65/157.92 (step @p598 :rule chain_m_resolution :premises (@p597 @p588) :args (@t467 @t472 (@list @t509))) % 157.65/157.92 (step @p599 :rule cnf_equiv_pos1 :args (@t471)) % 157.65/157.92 (step @p600 :rule reordering :premises (@p599) :args ((or (not @t467) @t466 (not @t471)))) % 157.65/157.92 (step @p601 :rule chain_m_resolution :premises (@p600 @p598 @p500) :args (@t466 @t507 (@list @t467 @t471))) % 157.65/157.92 (step @p602 :rule cnf_or_pos :args (@t512)) % 157.65/157.92 (step @p603 :rule reordering :premises (@p602) :args ((or @t511 @t510 (not @t512)))) % 157.65/157.92 (step @p604 :rule chain_m_resolution :premises (@p603 @p601 @p453) :args (@t510 @t507 (@list @t466 @t512))) % 157.65/157.92 (step @p605 :rule trans :premises (@p604 @p419)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p606 :rule trust :premises () :args ((= @t515 (= @t421 @t513)))) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p607 :rule trust :premises () :args ((= (= tptp.ord_less_real (lambda @t162 (_ @t212 @t427))) @t515))) % 157.65/157.92 (step @p608 :rule refl :args (@t212)) % 157.65/157.92 (step @p609 :rule ho_cong :premises (@p608 @p349)) % 157.65/157.92 (step @p610 :rule cong :premises (@p609) :args (@t213)) % 157.65/157.92 (step @p611 :rule refl :args (tptp.ord_less_real)) % 157.65/157.92 (step @p612 :rule cong :premises (@p611 @p610) :args (@t214)) % 157.65/157.92 (step @p613 :rule trans :premises (@p612 @p607 @p606)) % 157.65/157.92 (step @p614 :rule eq_resolve :premises (@p127 @p613)) % 157.65/157.92 (step @p615 :rule symm :premises (@p614)) % 157.65/157.92 (step @p616 :rule cong :premises (@p615 @p605) :args (@t516)) % 157.65/157.92 (step @p617 :rule cong :premises (@p616 @p380) :args ((_ @t423 @t516 @t418))) % 157.65/157.92 (step @p618 :rule refl :args (@t457)) % 157.65/157.92 (step @p619 :rule cong :premises (@p614 @p618) :args (@t517)) % 157.65/157.92 (step @p620 :rule cong :premises (@p619 @p380) :args (@t518)) % 157.65/157.92 (step @p621 :rule eq-symm :args (@t521 @t522)) % 157.65/157.92 (step @p622 :rule cong :premises (@p621) :args (@t524)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p623 :rule trust :premises () :args ((= @t525 @t524))) % 157.65/157.92 (step @p624 :rule trans :premises (@p623 @p622)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 157.65/157.92 (step @p625 :rule trust :premises () :args (@t525)) % 157.65/157.92 (step @p626 :rule eq_resolve :premises (@p625 @p624)) % 157.65/157.92 (step @p627 :rule instantiate :premises (@p626) :args (@t470)) % 157.65/157.92 ; trust TRUST PREPROCESS_HO_ELIM % 157.65/157.92 (step @p628 :rule trust :premises () :args ((= @t25 (_ @t423 (_ @t422 @t421 @t436) @t437)))) % 157.65/157.92 (step @p629 :rule eq_resolve :premises (@p9 @p628)) % 157.65/157.92 (step @p630 :rule true_intro :premises (@p629)) % 157.65/157.92 (step @p631 :rule refl :args (@t437)) % 157.65/157.92 (step @p632 :rule refl :args (@t436)) % 157.65/157.92 (step @p633 :rule cong :premises (@p615 @p632) :args (@t526)) % 157.65/157.92 (step @p634 :rule cong :premises (@p633 @p631) :args (@t527)) % 157.65/157.92 (step @p635 :rule trans :premises (@p634 @p630)) % 157.65/157.92 (step @p636 :rule true_elim :premises (@p635)) % 157.65/157.92 (step @p637 :rule cnf_equiv_pos2 :args (@t528)) % 157.65/157.92 (step @p638 :rule reordering :premises (@p637) :args ((or @t518 (not @t527) (not @t528)))) % 157.65/157.92 (step @p639 :rule chain_m_resolution :premises (@p638 @p636 @p627) :args (@t518 @t507 (@list @t527 @t528))) % 157.65/157.92 (step @p640 :rule true_intro :premises (@p639)) % 157.65/157.92 (step @p641 :rule symm :premises (@p640)) % 157.65/157.92 (step @p642 :rule trans :premises (@p641 @p620 @p617 @p379)) % 157.65/157.92 (step @p643 false :rule eq_resolve :premises (@p642 @p320)) % 157.65/157.92 ) % 157.65/157.92 % SZS output end Proof % 157.65/157.92 % cvc5 exiting %------------------------------------------------------------------------------