%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP063^1 : 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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:56 AM UTC 2026 % Result : Theorem 151.64s 152.02s % Output : Proof 151.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP063^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 04:12:44 EDT 2026 % 0.18/0.34 % CPUTime : % 0.43/0.58 %----Proving TH0 % 151.64/152.02 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.64/152.02 --- 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... % 151.64/152.02 --- 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... % 151.64/152.02 --- Run --ho-elim --full-saturate-quant at 18s... % 151.64/152.02 % SZS status Theorem % 151.64/152.02 % SZS output start Proof % 151.64/152.02 ( % 151.64/152.02 (declare-sort tptp.nat 0) % 151.64/152.02 (declare-sort tptp.real 0) % 151.64/152.02 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 151.64/152.02 (declare-const tptp.minus_minus_real (-> tptp.real tptp.real tptp.real)) % 151.64/152.02 (declare-const tptp.abs_abs_real (-> tptp.real tptp.real)) % 151.64/152.02 (declare-const tptp.ord_less_eq_real (-> tptp.real tptp.real Bool)) % 151.64/152.02 (declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat)) % 151.64/152.02 (declare-const tptp.times_times_real (-> tptp.real tptp.real tptp.real)) % 151.64/152.02 (declare-const tptp.genClo872980712lle_mu tptp.real) % 151.64/152.02 (declare-const tptp.genClo1651033342e_rmin tptp.real) % 151.64/152.02 (declare-const tptp.genClo1650508560e_rmax tptp.real) % 151.64/152.02 (declare-const tptp.zero_zero_nat tptp.nat) % 151.64/152.02 (declare-const tptp.genClo1278781456e_beta tptp.real) % 151.64/152.02 (declare-const tptp.zero_zero_real tptp.real) % 151.64/152.02 (declare-const tptp.genClo1163638703lle_te (-> tptp.nat tptp.nat tptp.real)) % 151.64/152.02 (declare-const tptp.one_one_nat tptp.nat) % 151.64/152.02 (declare-const tptp.l tptp.nat) % 151.64/152.02 (declare-const tptp.genClo1144207539le_rho tptp.real) % 151.64/152.02 (declare-const tptp.i tptp.nat) % 151.64/152.02 (declare-const tptp.genClo1015804716orrect (-> tptp.nat tptp.real Bool)) % 151.64/152.02 (declare-const tptp.p tptp.nat) % 151.64/152.02 (declare-const tptp.one_one_real tptp.real) % 151.64/152.02 (declare-const tptp.q tptp.nat) % 151.64/152.02 (declare-const tptp.plus_plus_real (-> tptp.real tptp.real tptp.real)) % 151.64/152.02 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 151.64/152.02 (declare-const tptp.genClo1161277105lle_PC (-> tptp.nat tptp.real tptp.real)) % 151.64/152.02 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "C2" tptp.nat))) (let ((_let_2 (@var "A2" tptp.nat))) (let ((_let_3 (@var "B2" tptp.nat))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (= _let_3 (_ (_ tptp.plus_plus_nat _let_2) _let_1)))))))) % 151.64/152.02 (define tptp.genClo293725282kRead2 () (let ((_let_1 (@var "X2" tptp.real))) (let ((_let_2 (@var "P3" tptp.nat))) (let ((_let_3 (@var "G" (-> tptp.nat tptp.real)))) (let ((_let_4 (@var "F" (-> tptp.nat tptp.real)))) (let ((_let_5 (@var "Ppred" (-> tptp.nat Bool)))) (lambda (@list _let_4 _let_3 _let_1 _let_5) (forall (@list _let_2) (=> (_ _let_5 _let_2) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ _let_4 _let_2)) (_ _let_3 _let_2)))) _let_1)))))))))) % 151.64/152.02 (define @t1 () (@var "I" tptp.nat)) % 151.64/152.02 (define @t2 () (@var "Q" tptp.nat)) % 151.64/152.02 (define @t3 () (_ (_ tptp.genClo1163638703lle_te @t2) @t1)) % 151.64/152.02 (define @t4 () (@var "P" tptp.nat)) % 151.64/152.02 (define @t5 () (_ tptp.genClo1163638703lle_te @t4)) % 151.64/152.02 (define @t6 () (_ @t5 @t1)) % 151.64/152.02 (define @t7 () (_ (_ tptp.minus_minus_real @t6) @t3)) % 151.64/152.02 (define @t8 () (_ tptp.abs_abs_real @t7)) % 151.64/152.02 (define @t9 () (_ (_ tptp.ord_less_eq_real @t8) tptp.genClo1278781456e_beta)) % 151.64/152.02 (define @t10 () (_ tptp.genClo1015804716orrect @t2)) % 151.64/152.02 (define @t11 () (_ @t10 @t3)) % 151.64/152.02 (define @t12 () (_ tptp.genClo1015804716orrect @t4)) % 151.64/152.02 (define @t13 () (_ @t12 @t6)) % 151.64/152.02 (define @t14 () (and @t13 @t11)) % 151.64/152.02 (define @t15 () (@list @t4 @t2 @t1)) % 151.64/152.02 (define @t16 () (forall @t15 (=> @t14 @t9))) % 151.64/152.02 (define @t17 () (_ (_ tptp.plus_plus_nat tptp.i) tptp.one_one_nat)) % 151.64/152.02 (define @t18 () (_ (_ tptp.genClo1163638703lle_te tptp.p) @t17)) % 151.64/152.02 (define @t19 () (_ (_ tptp.genClo1015804716orrect tptp.p) @t18)) % 151.64/152.02 (define @t20 () (_ (_ tptp.genClo1163638703lle_te tptp.q) @t17)) % 151.64/152.02 (define @t21 () (_ tptp.genClo1015804716orrect tptp.q)) % 151.64/152.02 (define @t22 () (_ @t21 @t20)) % 151.64/152.02 (define @t23 () (_ tptp.genClo1015804716orrect tptp.l)) % 151.64/152.02 (define @t24 () (_ (_ tptp.minus_minus_real @t18) @t20)) % 151.64/152.02 (define @t25 () (_ tptp.ord_less_eq_real tptp.zero_zero_real)) % 151.64/152.02 (define @t26 () (@var "A" tptp.real)) % 151.64/152.02 (define @t27 () (@var "B" tptp.real)) % 151.64/152.02 (define @t28 () (_ tptp.minus_minus_real @t26)) % 151.64/152.02 (define @t29 () (_ @t28 @t27)) % 151.64/152.02 (define @t30 () (_ tptp.plus_plus_real @t27)) % 151.64/152.02 (define @t31 () (_ tptp.ord_less_eq_real @t27)) % 151.64/152.02 (define @t32 () (_ @t31 @t26)) % 151.64/152.02 (define @t33 () (@list @t27 @t26)) % 151.64/152.02 (define @t34 () (@var "A" tptp.nat)) % 151.64/152.02 (define @t35 () (@var "B" tptp.nat)) % 151.64/152.02 (define @t36 () (_ tptp.minus_minus_nat @t34)) % 151.64/152.02 (define @t37 () (_ @t36 @t35)) % 151.64/152.02 (define @t38 () (_ tptp.plus_plus_nat @t35)) % 151.64/152.02 (define @t39 () (_ tptp.ord_less_eq_nat @t35)) % 151.64/152.02 (define @t40 () (_ @t39 @t34)) % 151.64/152.02 (define @t41 () (@list @t35 @t34)) % 151.64/152.02 (define @t42 () (_ tptp.plus_plus_real @t29)) % 151.64/152.02 (define @t43 () (= (_ @t42 @t27) @t26)) % 151.64/152.02 (define @t44 () (@var "I2" tptp.nat)) % 151.64/152.02 (define @t45 () (_ tptp.plus_plus_nat @t44)) % 151.64/152.02 (define @t46 () (@var "P2" tptp.nat)) % 151.64/152.02 (define @t47 () (_ tptp.genClo1163638703lle_te @t46)) % 151.64/152.02 (define @t48 () (_ @t47 (_ @t45 tptp.one_one_nat))) % 151.64/152.02 (define @t49 () (_ @t47 @t44)) % 151.64/152.02 (define @t50 () (_ (_ tptp.genClo1015804716orrect @t46) @t48)) % 151.64/152.02 (define @t51 () (@list @t46 @t44)) % 151.64/152.02 (define @t52 () (_ tptp.abs_abs_real @t27)) % 151.64/152.02 (define @t53 () (_ tptp.abs_abs_real @t26)) % 151.64/152.02 (define @t54 () (_ (_ tptp.plus_plus_real @t53) @t52)) % 151.64/152.02 (define @t55 () (@list @t26 @t27)) % 151.64/152.02 (define @t56 () (_ tptp.plus_plus_real @t26)) % 151.64/152.02 (define @t57 () (_ @t56 @t27)) % 151.64/152.02 (define @t58 () (_ tptp.minus_minus_real @t57)) % 151.64/152.02 (define @t59 () (@var "C" tptp.real)) % 151.64/152.02 (define @t60 () (_ tptp.plus_plus_real @t59)) % 151.64/152.02 (define @t61 () (_ @t60 @t27)) % 151.64/152.02 (define @t62 () (_ @t60 @t26)) % 151.64/152.02 (define @t63 () (@list @t59 @t26 @t27)) % 151.64/152.02 (define @t64 () (@var "C" tptp.nat)) % 151.64/152.02 (define @t65 () (_ tptp.plus_plus_nat @t64)) % 151.64/152.02 (define @t66 () (_ @t65 @t35)) % 151.64/152.02 (define @t67 () (_ @t65 @t34)) % 151.64/152.02 (define @t68 () (_ tptp.minus_minus_nat @t67)) % 151.64/152.02 (define @t69 () (@list @t64 @t34 @t35)) % 151.64/152.02 (define @t70 () (_ tptp.plus_plus_nat @t34)) % 151.64/152.02 (define @t71 () (_ @t70 @t35)) % 151.64/152.02 (define @t72 () (_ tptp.minus_minus_nat @t71)) % 151.64/152.02 (define @t73 () (@list @t34 @t35)) % 151.64/152.02 (define @t74 () (_ @t30 @t59)) % 151.64/152.02 (define @t75 () (_ @t56 @t59)) % 151.64/152.02 (define @t76 () (_ tptp.minus_minus_real @t75)) % 151.64/152.02 (define @t77 () (@list @t26 @t59 @t27)) % 151.64/152.02 (define @t78 () (_ @t38 @t64)) % 151.64/152.02 (define @t79 () (_ @t70 @t64)) % 151.64/152.02 (define @t80 () (@list @t34 @t64 @t35)) % 151.64/152.02 (define @t81 () (= @t35 @t64)) % 151.64/152.02 (define @t82 () (_ @t38 @t34)) % 151.64/152.02 (define @t83 () (= @t82 @t67)) % 151.64/152.02 (define @t84 () (@list @t35 @t34 @t64)) % 151.64/152.02 (define @t85 () (= @t27 @t59)) % 151.64/152.02 (define @t86 () (_ @t30 @t26)) % 151.64/152.02 (define @t87 () (= @t86 @t62)) % 151.64/152.02 (define @t88 () (@list @t27 @t26 @t59)) % 151.64/152.02 (define @t89 () (= @t71 @t79)) % 151.64/152.02 (define @t90 () (@list @t34 @t35 @t64)) % 151.64/152.02 (define @t91 () (= @t57 @t75)) % 151.64/152.02 (define @t92 () (@list @t26 @t27 @t59)) % 151.64/152.02 (define @t93 () (@list @t26)) % 151.64/152.02 (define @t94 () (@var "N" tptp.nat)) % 151.64/152.02 (define @t95 () (= @t94 tptp.zero_zero_nat)) % 151.64/152.02 (define @t96 () (_ tptp.ord_less_eq_nat @t94)) % 151.64/152.02 (define @t97 () (@list @t94)) % 151.64/152.02 (define @t98 () (_ tptp.ord_less_eq_real @t26)) % 151.64/152.02 (define @t99 () (_ @t98 @t27)) % 151.64/152.02 (define @t100 () (_ tptp.ord_less_eq_real @t75)) % 151.64/152.02 (define @t101 () (_ @t100 @t74)) % 151.64/152.02 (define @t102 () (_ tptp.ord_less_eq_nat @t34)) % 151.64/152.02 (define @t103 () (_ @t102 @t35)) % 151.64/152.02 (define @t104 () (_ tptp.ord_less_eq_nat @t79)) % 151.64/152.02 (define @t105 () (_ @t104 @t78)) % 151.64/152.02 (define @t106 () (_ (_ tptp.ord_less_eq_real @t62) @t61)) % 151.64/152.02 (define @t107 () (_ tptp.ord_less_eq_nat @t67)) % 151.64/152.02 (define @t108 () (_ @t107 @t66)) % 151.64/152.02 (define @t109 () (@var "Y" tptp.nat)) % 151.64/152.02 (define @t110 () (@var "X" tptp.nat)) % 151.64/152.02 (define @t111 () (= @t110 tptp.zero_zero_nat)) % 151.64/152.02 (define @t112 () (and @t111 (= @t109 tptp.zero_zero_nat))) % 151.64/152.02 (define @t113 () (_ (_ tptp.plus_plus_nat @t110) @t109)) % 151.64/152.02 (define @t114 () (@list @t110 @t109)) % 151.64/152.02 (define @t115 () (= (= @t113 tptp.zero_zero_nat) @t112)) % 151.64/152.02 (define @t116 () (= @t27 tptp.zero_zero_real)) % 151.64/152.02 (define @t117 () (= @t35 tptp.zero_zero_nat)) % 151.64/152.02 (define @t118 () (= @t26 tptp.zero_zero_real)) % 151.64/152.02 (define @t119 () (_ @t56 @t26)) % 151.64/152.02 (define @t120 () (@list @t34)) % 151.64/152.02 (define @t121 () (_ tptp.plus_plus_nat tptp.zero_zero_nat)) % 151.64/152.02 (define @t122 () (_ tptp.minus_minus_nat tptp.zero_zero_nat)) % 151.64/152.02 (define @t123 () (_ @t25 @t26)) % 151.64/152.02 (define @t124 () (_ @t98 tptp.zero_zero_real)) % 151.64/152.02 (define @t125 () (_ @t25 @t27)) % 151.64/152.02 (define @t126 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 151.64/152.02 (define @t127 () (_ @t126 @t35)) % 151.64/152.02 (define @t128 () (_ tptp.ord_less_eq_real @t57)) % 151.64/152.02 (define @t129 () (_ @t102 tptp.zero_zero_nat)) % 151.64/152.02 (define @t130 () (_ tptp.ord_less_eq_nat @t71)) % 151.64/152.02 (define @t131 () (_ tptp.ord_less_eq_real @t53)) % 151.64/152.02 (define @t132 () (@var "X" tptp.real)) % 151.64/152.02 (define @t133 () (= @t132 tptp.zero_zero_real)) % 151.64/152.02 (define @t134 () (@list @t132)) % 151.64/152.02 (define @t135 () (@list @t110)) % 151.64/152.02 (define @t136 () (_ @t126 @t110)) % 151.64/152.02 (define @t137 () (@var "B2" tptp.real)) % 151.64/152.02 (define @t138 () (@var "A2" tptp.real)) % 151.64/152.02 (define @t139 () (_ (_ tptp.minus_minus_real @t138) @t137)) % 151.64/152.02 (define @t140 () (@list @t138 @t137)) % 151.64/152.02 (define @t141 () (@var "Z" tptp.real)) % 151.64/152.02 (define @t142 () (@var "Y2" tptp.real)) % 151.64/152.02 (define @t143 () (@var "Y" tptp.real)) % 151.64/152.02 (define @t144 () (_ tptp.plus_plus_real @t132)) % 151.64/152.02 (define @t145 () (= (= (_ @t144 @t143) tptp.zero_zero_real) (and @t133 (= @t143 tptp.zero_zero_real)))) % 151.64/152.02 (define @t146 () (_ tptp.ord_less_eq_real @t132)) % 151.64/152.02 (define @t147 () (@list @t132 @t143)) % 151.64/152.02 (define @t148 () (_ @t126 @t34)) % 151.64/152.02 (define @t149 () (_ @t31 @t75)) % 151.64/152.02 (define @t150 () (_ @t25 @t59)) % 151.64/152.02 (define @t151 () (@list @t59 @t27 @t26)) % 151.64/152.02 (define @t152 () (_ @t39 @t79)) % 151.64/152.02 (define @t153 () (_ @t126 @t64)) % 151.64/152.02 (define @t154 () (@list @t64 @t35 @t34)) % 151.64/152.02 (define @t155 () (_ @t100 @t27)) % 151.64/152.02 (define @t156 () (_ tptp.ord_less_eq_real @t59)) % 151.64/152.02 (define @t157 () (_ @t104 @t35)) % 151.64/152.02 (define @t158 () (_ tptp.ord_less_eq_nat @t64)) % 151.64/152.02 (define @t159 () (_ @t39 @t64)) % 151.64/152.02 (define @t160 () (_ tptp.ord_less_eq_real tptp.one_one_real)) % 151.64/152.02 (define @t161 () (_ tptp.ord_less_eq_nat tptp.one_one_nat)) % 151.64/152.02 (define @t162 () (@var "T" tptp.real)) % 151.64/152.02 (define @t163 () (_ @t12 @t162)) % 151.64/152.02 (define @t164 () (_ @t70 @t78)) % 151.64/152.02 (define @t165 () (_ @t56 @t74)) % 151.64/152.02 (define @t166 () (@var "A2" tptp.nat)) % 151.64/152.02 (define @t167 () (@var "B2" tptp.nat)) % 151.64/152.02 (define @t168 () (@list @t166 @t167)) % 151.64/152.02 (define @t169 () (@var "K" tptp.nat)) % 151.64/152.02 (define @t170 () (_ tptp.plus_plus_nat @t169)) % 151.64/152.02 (define @t171 () (_ @t170 @t71)) % 151.64/152.02 (define @t172 () (@var "B3" tptp.nat)) % 151.64/152.02 (define @t173 () (@var "K" tptp.real)) % 151.64/152.02 (define @t174 () (_ tptp.plus_plus_real @t173)) % 151.64/152.02 (define @t175 () (_ @t174 @t57)) % 151.64/152.02 (define @t176 () (@var "B3" tptp.real)) % 151.64/152.02 (define @t177 () (@var "A3" tptp.nat)) % 151.64/152.02 (define @t178 () (@var "A3" tptp.real)) % 151.64/152.02 (define @t179 () (= @t178 (_ @t174 @t26))) % 151.64/152.02 (define @t180 () (@list @t178 @t173 @t26 @t27)) % 151.64/152.02 (define @t181 () (@var "L" tptp.nat)) % 151.64/152.02 (define @t182 () (@var "J" tptp.nat)) % 151.64/152.02 (define @t183 () (_ tptp.plus_plus_nat @t182)) % 151.64/152.02 (define @t184 () (_ @t183 @t181)) % 151.64/152.02 (define @t185 () (_ @t45 @t169)) % 151.64/152.02 (define @t186 () (= @t169 @t181)) % 151.64/152.02 (define @t187 () (= @t44 @t182)) % 151.64/152.02 (define @t188 () (@list @t44 @t182 @t169 @t181)) % 151.64/152.02 (define @t189 () (@var "L" tptp.real)) % 151.64/152.02 (define @t190 () (@var "J" tptp.real)) % 151.64/152.02 (define @t191 () (_ tptp.plus_plus_real @t190)) % 151.64/152.02 (define @t192 () (_ @t191 @t189)) % 151.64/152.02 (define @t193 () (@var "I2" tptp.real)) % 151.64/152.02 (define @t194 () (_ (_ tptp.plus_plus_real @t193) @t173)) % 151.64/152.02 (define @t195 () (= @t173 @t189)) % 151.64/152.02 (define @t196 () (= @t193 @t190)) % 151.64/152.02 (define @t197 () (@list @t193 @t190 @t173 @t189)) % 151.64/152.02 (define @t198 () (_ (_ tptp.minus_minus_real @t29) @t59)) % 151.64/152.02 (define @t199 () (_ @t28 @t59)) % 151.64/152.02 (define @t200 () (_ (_ tptp.minus_minus_real @t199) @t27)) % 151.64/152.02 (define @t201 () (_ (_ tptp.minus_minus_nat @t37) @t64)) % 151.64/152.02 (define @t202 () (@var "D" tptp.real)) % 151.64/152.02 (define @t203 () (= @t26 @t27)) % 151.64/152.02 (define @t204 () (_ tptp.minus_minus_real @t59)) % 151.64/152.02 (define @t205 () (= @t29 (_ @t204 @t202))) % 151.64/152.02 (define @t206 () (@list @t26 @t27 @t59 @t202)) % 151.64/152.02 (define @t207 () (@var "Q2" tptp.nat)) % 151.64/152.02 (define @t208 () (_ (_ tptp.genClo1163638703lle_te @t207) @t44)) % 151.64/152.02 (define @t209 () (_ tptp.minus_minus_real @t48)) % 151.64/152.02 (define @t210 () (_ @t209 @t208)) % 151.64/152.02 (define @t211 () (_ tptp.genClo1015804716orrect @t207)) % 151.64/152.02 (define @t212 () (@list @t46 @t44 @t207)) % 151.64/152.02 (define @t213 () (@var "S" tptp.real)) % 151.64/152.02 (define @t214 () (_ (_ tptp.ord_less_eq_real @t213) @t162)) % 151.64/152.02 (define @t215 () (@list @t4 @t213 @t162)) % 151.64/152.02 (define @t216 () (@var "C3" tptp.nat)) % 151.64/152.02 (define @t217 () (_ @t156 @t202)) % 151.64/152.02 (define @t218 () (@var "D" tptp.nat)) % 151.64/152.02 (define @t219 () (_ @t158 @t218)) % 151.64/152.02 (define @t220 () (@list @t34 @t35 @t64 @t218)) % 151.64/152.02 (define @t221 () (_ tptp.ord_less_eq_real @t194)) % 151.64/152.02 (define @t222 () (_ @t221 @t192)) % 151.64/152.02 (define @t223 () (_ (_ tptp.ord_less_eq_real @t173) @t189)) % 151.64/152.02 (define @t224 () (_ tptp.ord_less_eq_real @t193)) % 151.64/152.02 (define @t225 () (_ @t224 @t190)) % 151.64/152.02 (define @t226 () (_ tptp.ord_less_eq_nat @t185)) % 151.64/152.02 (define @t227 () (_ @t226 @t184)) % 151.64/152.02 (define @t228 () (_ tptp.ord_less_eq_nat @t169)) % 151.64/152.02 (define @t229 () (_ @t228 @t181)) % 151.64/152.02 (define @t230 () (_ tptp.ord_less_eq_nat @t44)) % 151.64/152.02 (define @t231 () (_ @t230 @t182)) % 151.64/152.02 (define @t232 () (_ tptp.minus_minus_real @t27)) % 151.64/152.02 (define @t233 () (_ @t232 @t59)) % 151.64/152.02 (define @t234 () (_ tptp.ord_less_eq_real @t199)) % 151.64/152.02 (define @t235 () (_ @t204 @t27)) % 151.64/152.02 (define @t236 () (_ @t232 @t202)) % 151.64/152.02 (define @t237 () (_ @t28 @t74)) % 151.64/152.02 (define @t238 () (_ @t76 @t27)) % 151.64/152.02 (define @t239 () (_ tptp.abs_abs_real (_ @t232 @t26))) % 151.64/152.02 (define @t240 () (_ tptp.abs_abs_real @t29)) % 151.64/152.02 (define @t241 () (_ tptp.minus_minus_nat @t35)) % 151.64/152.02 (define @t242 () (_ @t241 @t34)) % 151.64/152.02 (define @t243 () (_ tptp.minus_minus_nat @t64)) % 151.64/152.02 (define @t244 () (_ tptp.plus_plus_nat @t242)) % 151.64/152.02 (define @t245 () (_ @t244 @t64)) % 151.64/152.02 (define @t246 () (_ (_ tptp.minus_minus_nat @t78) @t34)) % 151.64/152.02 (define @t247 () (_ @t65 @t242)) % 151.64/152.02 (define @t248 () (_ (_ tptp.minus_minus_nat @t66) @t34)) % 151.64/152.02 (define @t249 () (@var "N" tptp.real)) % 151.64/152.02 (define @t250 () (_ (_ tptp.minus_minus_real @t249) @t173)) % 151.64/152.02 (define @t251 () (_ (_ tptp.ord_less_eq_real @t249) (_ @t191 @t173))) % 151.64/152.02 (define @t252 () (_ @t221 @t249)) % 151.64/152.02 (define @t253 () (_ tptp.minus_minus_nat @t94)) % 151.64/152.02 (define @t254 () (_ @t253 @t169)) % 151.64/152.02 (define @t255 () (_ @t183 @t169)) % 151.64/152.02 (define @t256 () (_ @t96 @t255)) % 151.64/152.02 (define @t257 () (_ @t226 @t94)) % 151.64/152.02 (define @t258 () (_ (_ tptp.minus_minus_real @t53) @t52)) % 151.64/152.02 (define @t259 () (_ tptp.ord_less_eq_real @t258)) % 151.64/152.02 (define @t260 () (@var "R" tptp.real)) % 151.64/152.02 (define @t261 () (_ tptp.genClo1161277105lle_PC tptp.l)) % 151.64/152.02 (define @t262 () (_ (_ tptp.minus_minus_real (_ @t261 @t18)) (_ @t261 @t20))) % 151.64/152.02 (define @t263 () (_ @t209 @t49)) % 151.64/152.02 (define @t264 () (_ tptp.ord_less_eq_real tptp.genClo1651033342e_rmin)) % 151.64/152.02 (define @t265 () (_ (_ tptp.minus_minus_real @t162) @t6)) % 151.64/152.02 (define @t266 () (_ @t5 (_ (_ tptp.plus_plus_nat @t1) tptp.one_one_nat))) % 151.64/152.02 (define @t267 () (@list @t4 @t162 @t1)) % 151.64/152.02 (define @t268 () (@var "V" tptp.real)) % 151.64/152.02 (define @t269 () (@var "U" tptp.real)) % 151.64/152.02 (define @t270 () (_ (_ tptp.minus_minus_nat (_ @t45 @t182)) @t169)) % 151.64/152.02 (define @t271 () (_ tptp.minus_minus_nat @t182)) % 151.64/152.02 (define @t272 () (_ @t271 @t169)) % 151.64/152.02 (define @t273 () (_ @t45 @t272)) % 151.64/152.02 (define @t274 () (_ @t228 @t182)) % 151.64/152.02 (define @t275 () (@list @t169 @t182 @t44)) % 151.64/152.02 (define @t276 () (@var "M" tptp.nat)) % 151.64/152.02 (define @t277 () (_ tptp.plus_plus_nat @t276)) % 151.64/152.02 (define @t278 () (_ @t277 @t94)) % 151.64/152.02 (define @t279 () (@list @t276 @t94)) % 151.64/152.02 (define @t280 () (@list @t276)) % 151.64/152.02 (define @t281 () (_ tptp.minus_minus_nat @t276)) % 151.64/152.02 (define @t282 () (_ (_ tptp.ord_less_eq_nat @t276) @t94)) % 151.64/152.02 (define @t283 () (_ @t170 @t94)) % 151.64/152.02 (define @t284 () (_ @t170 @t276)) % 151.64/152.02 (define @t285 () (@list @t169 @t276 @t94)) % 151.64/152.02 (define @t286 () (_ @t281 @t94)) % 151.64/152.02 (define @t287 () (= @t286 tptp.zero_zero_nat)) % 151.64/152.02 (define @t288 () (_ tptp.minus_minus_nat @t44)) % 151.64/152.02 (define @t289 () (_ (_ tptp.minus_minus_nat (_ @t288 @t182)) @t169)) % 151.64/152.02 (define @t290 () (@list @t44 @t182 @t169)) % 151.64/152.02 (define @t291 () (_ (_ tptp.minus_minus_nat (_ @t183 @t44)) @t169)) % 151.64/152.02 (define @t292 () (_ (_ tptp.plus_plus_nat @t272) @t44)) % 151.64/152.02 (define @t293 () (_ tptp.ord_less_eq_nat @t182)) % 151.64/152.02 (define @t294 () (= @t276 @t94)) % 151.64/152.02 (define @t295 () (_ @t96 @t276)) % 151.64/152.02 (define @t296 () (_ @t281 @t169)) % 151.64/152.02 (define @t297 () (_ @t228 @t94)) % 151.64/152.02 (define @t298 () (_ @t228 @t276)) % 151.64/152.02 (define @t299 () (@list @t276 @t94 @t181)) % 151.64/152.02 (define @t300 () (_ tptp.minus_minus_nat @t181)) % 151.64/152.02 (define @t301 () (@var "X3" tptp.nat)) % 151.64/152.02 (define @t302 () (@var "Y4" tptp.nat)) % 151.64/152.02 (define @t303 () (@var "P4" (-> tptp.nat Bool))) % 151.64/152.02 (define @t304 () (@var "Y3" tptp.nat)) % 151.64/152.02 (define @t305 () (= @t34 tptp.zero_zero_nat)) % 151.64/152.02 (define @t306 () (_ tptp.plus_plus_nat @t94)) % 151.64/152.02 (define @t307 () (_ @t306 @t276)) % 151.64/152.02 (define @t308 () (@list @t94 @t276)) % 151.64/152.02 (define @t309 () (@list @t4)) % 151.64/152.02 (define @t310 () (_ @t277 @t169)) % 151.64/152.02 (define @t311 () (_ (_ tptp.ord_less_eq_nat @t310) @t94)) % 151.64/152.02 (define @t312 () (@list @t276 @t169 @t94)) % 151.64/152.02 (define @t313 () (@var "N2" tptp.nat)) % 151.64/152.02 (define @t314 () (@list @t44 @t182 @t276)) % 151.64/152.02 (define @t315 () (@var "K2" tptp.nat)) % 151.64/152.02 (define @t316 () (@var "M2" tptp.nat)) % 151.64/152.02 (define @t317 () (@var "N3" tptp.nat)) % 151.64/152.02 (define @t318 () (_ tptp.genClo1161277105lle_PC @t4)) % 151.64/152.02 (define @t319 () (@var "Z2" tptp.real)) % 151.64/152.02 (define @t320 () (_ @t318 tptp.zero_zero_real)) % 151.64/152.02 (define @t321 () (= @t34 @t35)) % 151.64/152.02 (define @t322 () (= @t64 tptp.zero_zero_nat)) % 151.64/152.02 (define @t323 () (or @t322 @t321)) % 151.64/152.02 (define @t324 () (_ tptp.times_times_nat @t35)) % 151.64/152.02 (define @t325 () (_ @t324 @t64)) % 151.64/152.02 (define @t326 () (_ tptp.times_times_nat @t34)) % 151.64/152.02 (define @t327 () (_ @t326 @t64)) % 151.64/152.02 (define @t328 () (= @t327 @t325)) % 151.64/152.02 (define @t329 () (= @t59 tptp.zero_zero_real)) % 151.64/152.02 (define @t330 () (or @t329 @t203)) % 151.64/152.02 (define @t331 () (_ tptp.times_times_real @t27)) % 151.64/152.02 (define @t332 () (_ @t331 @t59)) % 151.64/152.02 (define @t333 () (_ tptp.times_times_real @t26)) % 151.64/152.02 (define @t334 () (_ @t333 @t59)) % 151.64/152.02 (define @t335 () (= @t334 @t332)) % 151.64/152.02 (define @t336 () (_ tptp.times_times_nat @t64)) % 151.64/152.02 (define @t337 () (_ @t336 @t34)) % 151.64/152.02 (define @t338 () (= @t337 (_ @t336 @t35))) % 151.64/152.02 (define @t339 () (_ tptp.times_times_real @t59)) % 151.64/152.02 (define @t340 () (_ @t339 @t27)) % 151.64/152.02 (define @t341 () (_ @t339 @t26)) % 151.64/152.02 (define @t342 () (= @t341 @t340)) % 151.64/152.02 (define @t343 () (or @t305 @t117)) % 151.64/152.02 (define @t344 () (_ @t326 @t35)) % 151.64/152.02 (define @t345 () (= @t344 tptp.zero_zero_nat)) % 151.64/152.02 (define @t346 () (or @t118 @t116)) % 151.64/152.02 (define @t347 () (_ @t333 @t27)) % 151.64/152.02 (define @t348 () (= @t347 tptp.zero_zero_real)) % 151.64/152.02 (define @t349 () (_ tptp.times_times_real @t53)) % 151.64/152.02 (define @t350 () (or @t329 (= @t27 tptp.one_one_real))) % 151.64/152.02 (define @t351 () (@list @t59 @t27)) % 151.64/152.02 (define @t352 () (or @t329 (= @t26 tptp.one_one_real))) % 151.64/152.02 (define @t353 () (not @t322)) % 151.64/152.02 (define @t354 () (not @t329)) % 151.64/152.02 (define @t355 () (not @t345)) % 151.64/152.02 (define @t356 () (not @t117)) % 151.64/152.02 (define @t357 () (not @t305)) % 151.64/152.02 (define @t358 () (not @t348)) % 151.64/152.02 (define @t359 () (not @t116)) % 151.64/152.02 (define @t360 () (not @t118)) % 151.64/152.02 (define @t361 () (_ tptp.times_times_real @t57)) % 151.64/152.02 (define @t362 () (_ tptp.times_times_nat @t71)) % 151.64/152.02 (define @t363 () (@var "E" tptp.nat)) % 151.64/152.02 (define @t364 () (@var "E" tptp.real)) % 151.64/152.02 (define @t365 () (_ @t241 @t64)) % 151.64/152.02 (define @t366 () (_ @t326 @t325)) % 151.64/152.02 (define @t367 () (_ @t333 @t332)) % 151.64/152.02 (define @t368 () (not (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t24)) tptp.genClo1278781456e_beta))) % 151.64/152.02 (define @t369 () (@var "C2" tptp.nat)) % 151.64/152.02 (define @t370 () (lambda @t168 (exists (@list @t369) (= @t167 (_ (_ tptp.plus_plus_nat @t166) @t369))))) % 151.64/152.02 (define @t371 () (@var "X2" tptp.real)) % 151.64/152.02 (define @t372 () (@var "P3" tptp.nat)) % 151.64/152.02 (define @t373 () (@var "G" (-> tptp.nat tptp.real))) % 151.64/152.02 (define @t374 () (@var "F" (-> tptp.nat tptp.real))) % 151.64/152.02 (define @t375 () (@var "Ppred" (-> tptp.nat Bool))) % 151.64/152.02 (define @t376 () (lambda (@list @t374 @t373 @t371 @t375) (forall (@list @t372) (=> (_ @t375 @t372) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t374 @t372)) (_ @t373 @t372)))) @t371))))) % 151.64/152.02 (define @t377 () (@const 0 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.real)))) % 151.64/152.02 (define @t378 () (@const 1 (-> (@ho-elim-sort (-> tptp.nat tptp.nat tptp.real)) tptp.nat (@ho-elim-sort (-> tptp.nat tptp.real))))) % 151.64/152.02 (define @t379 () (@const 2 (-> (@ho-elim-sort (-> tptp.nat tptp.real)) tptp.nat tptp.real))) % 151.64/152.02 (define @t380 () (_ @t379 (_ @t378 @t377 @t2) @t1)) % 151.64/152.02 (define @t381 () (_ @t379 (_ @t378 @t377 @t4) @t1)) % 151.64/152.02 (define @t382 () (@const 3 (@ho-elim-sort (-> tptp.real tptp.real tptp.real)))) % 151.64/152.02 (define @t383 () (@const 4 (-> (@ho-elim-sort (-> tptp.real tptp.real tptp.real)) tptp.real (@ho-elim-sort (-> tptp.real tptp.real))))) % 151.64/152.02 (define @t384 () (@const 5 (-> (@ho-elim-sort (-> tptp.real tptp.real)) tptp.real tptp.real))) % 151.64/152.02 (define @t385 () (@const 6 (@ho-elim-sort (-> tptp.real tptp.real)))) % 151.64/152.02 (define @t386 () (@const 7 (@ho-elim-sort (-> tptp.real tptp.real Bool)))) % 151.64/152.02 (define @t387 () (@const 8 (-> (@ho-elim-sort (-> tptp.real tptp.real Bool)) tptp.real (@ho-elim-sort (-> tptp.real Bool))))) % 151.64/152.02 (define @t388 () (@const 9 (-> (@ho-elim-sort (-> tptp.real Bool)) tptp.real Bool))) % 151.64/152.02 (define @t389 () (@const 10 (@ho-elim-sort (-> tptp.nat tptp.real Bool)))) % 151.64/152.02 (define @t390 () (@const 11 (-> (@ho-elim-sort (-> tptp.nat tptp.real Bool)) tptp.nat (@ho-elim-sort (-> tptp.real Bool))))) % 151.64/152.02 (define @t391 () (forall @t15 (or (not (_ @t388 (_ @t390 @t389 @t4) @t381)) (not (_ @t388 (_ @t390 @t389 @t2) @t380)) (_ @t388 (_ @t387 @t386 (_ @t384 @t385 (_ @t384 (_ @t383 @t382 @t381) @t380))) tptp.genClo1278781456e_beta)))) % 151.64/152.02 (define @t392 () (tptp.genClo1163638703lle_te @t2 @t1)) % 151.64/152.02 (define @t393 () (tptp.genClo1163638703lle_te @t4 @t1)) % 151.64/152.02 (define @t394 () (tptp.minus_minus_real @t393 @t392)) % 151.64/152.02 (define @t395 () (tptp.abs_abs_real @t394)) % 151.64/152.02 (define @t396 () (tptp.ord_less_eq_real @t395 tptp.genClo1278781456e_beta)) % 151.64/152.02 (define @t397 () (tptp.genClo1015804716orrect @t2 @t392)) % 151.64/152.02 (define @t398 () (tptp.genClo1015804716orrect @t4 @t393)) % 151.64/152.02 (define @t399 () (not @t11)) % 151.64/152.02 (define @t400 () (not @t13)) % 151.64/152.02 (define @t401 () (or @t400 @t399 @t9)) % 151.64/152.02 (define @t402 () (_ (@const 14 (-> (@ho-elim-sort (-> tptp.nat tptp.nat)) tptp.nat tptp.nat)) (_ (@const 13 (-> (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)) tptp.nat (@ho-elim-sort (-> tptp.nat tptp.nat)))) (@const 12 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat))) tptp.i) tptp.one_one_nat)) % 151.64/152.02 (define @t403 () (_ @t379 (_ @t378 @t377 tptp.q) @t402)) % 151.64/152.02 (define @t404 () (_ @t388 (_ @t390 @t389 tptp.q) @t403)) % 151.64/152.02 (define @t405 () (_ @t379 (_ @t378 @t377 tptp.p) @t402)) % 151.64/152.02 (define @t406 () (_ @t388 (_ @t390 @t389 tptp.p) @t405)) % 151.64/152.02 (define @t407 () (_ @t388 (_ @t387 @t386 (_ @t384 @t385 (_ @t384 (_ @t383 @t382 @t405) @t403))) tptp.genClo1278781456e_beta)) % 151.64/152.02 (define @t408 () (not @t404)) % 151.64/152.02 (define @t409 () (not @t406)) % 151.64/152.02 (define @t410 () (or @t409 @t408 @t407)) % 151.64/152.02 (define @t411 () (not @t410)) % 151.64/152.02 (assume @p1 @t16) % 151.64/152.02 (assume @p2 @t19) % 151.64/152.02 (assume @p3 @t22) % 151.64/152.02 (assume @p4 (_ (_ tptp.ord_less_eq_real @t20) @t18)) % 151.64/152.02 (assume @p5 (_ @t21 @t18)) % 151.64/152.02 (assume @p6 (_ @t23 @t18)) % 151.64/152.02 (assume @p7 (_ @t25 @t24)) % 151.64/152.02 (assume @p8 (_ @t23 @t20)) % 151.64/152.02 (assume @p9 (forall @t33 (=> @t32 (= (_ @t30 @t29) @t26)))) % 151.64/152.02 (assume @p10 (forall @t41 (=> @t40 (= (_ @t38 @t37) @t34)))) % 151.64/152.02 (assume @p11 (forall @t33 (=> @t32 @t43))) % 151.64/152.02 (assume @p12 (forall @t41 (=> @t40 (= (_ (_ tptp.plus_plus_nat @t37) @t35) @t34)))) % 151.64/152.02 (assume @p13 (forall @t51 (=> @t50 (_ (_ tptp.ord_less_eq_real @t49) @t48)))) % 151.64/152.02 (assume @p14 (= (_ tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real)) % 151.64/152.02 (assume @p15 (forall @t55 (= (_ tptp.abs_abs_real @t54) @t54))) % 151.64/152.02 (assume @p16 (forall @t55 (= (_ @t58 @t27) @t26))) % 151.64/152.02 (assume @p17 (forall @t55 @t43)) % 151.64/152.02 (assume @p18 (forall @t63 (= (_ (_ tptp.minus_minus_real @t62) @t61) @t29))) % 151.64/152.02 (assume @p19 (forall @t69 (= (_ @t68 @t66) @t37))) % 151.64/152.02 (assume @p20 (forall @t55 (= (_ @t58 @t26) @t27))) % 151.64/152.02 (assume @p21 (forall @t73 (= (_ @t72 @t34) @t35))) % 151.64/152.02 (assume @p22 (forall @t77 (= (_ @t76 @t74) @t29))) % 151.64/152.02 (assume @p23 (forall @t80 (= (_ (_ tptp.minus_minus_nat @t79) @t78) @t37))) % 151.64/152.02 (assume @p24 (forall @t84 (= @t83 @t81))) % 151.64/152.02 (assume @p25 (forall @t88 (= @t87 @t85))) % 151.64/152.02 (assume @p26 (forall @t90 (= @t89 @t81))) % 151.64/152.02 (assume @p27 (forall @t92 (= @t91 @t85))) % 151.64/152.02 (assume @p28 (forall @t93 (= (_ tptp.abs_abs_real @t53) @t53))) % 151.64/152.02 (assume @p29 (forall @t97 (= (_ @t96 tptp.zero_zero_nat) @t95))) % 151.64/152.02 (assume @p30 (forall @t77 (= @t101 @t99))) % 151.64/152.02 (assume @p31 (forall @t80 (= @t105 @t103))) % 151.64/152.02 (assume @p32 (forall @t63 (= @t106 @t99))) % 151.64/152.02 (assume @p33 (forall @t69 (= @t108 @t103))) % 151.64/152.02 (assume @p34 (forall @t114 (= (= tptp.zero_zero_nat @t113) @t112))) % 151.64/152.02 (assume @p35 (forall @t114 @t115)) % 151.64/152.02 (assume @p36 (forall @t55 (= (= @t26 @t57) @t116))) % 151.64/152.02 (assume @p37 (forall @t73 (= (= @t34 @t71) @t117))) % 151.64/152.02 (assume @p38 (forall @t55 (= (= @t26 @t86) @t116))) % 151.64/152.02 (assume @p39 (forall @t73 (= (= @t34 @t82) @t117))) % 151.64/152.02 (assume @p40 (forall @t55 (= (= @t57 @t26) @t116))) % 151.64/152.02 (assume @p41 (forall @t73 (= (= @t71 @t34) @t117))) % 151.64/152.02 (assume @p42 (forall @t33 (= (= @t86 @t26) @t116))) % 151.64/152.02 (assume @p43 (forall @t41 (= (= @t82 @t34) @t117))) % 151.64/152.02 (assume @p44 (forall @t93 (= (= tptp.zero_zero_real @t119) @t118))) % 151.64/152.02 (assume @p45 (forall @t93 (= (= @t119 tptp.zero_zero_real) @t118))) % 151.64/152.02 (assume @p46 (forall @t93 (= (_ @t56 tptp.zero_zero_real) @t26))) % 151.64/152.02 (assume @p47 (forall @t120 (= (_ @t70 tptp.zero_zero_nat) @t34))) % 151.64/152.02 (assume @p48 (forall @t93 (= (_ (_ tptp.plus_plus_real tptp.zero_zero_real) @t26) @t26))) % 151.64/152.02 (assume @p49 (forall @t120 (= (_ @t121 @t34) @t34))) % 151.64/152.02 (assume @p50 (forall @t93 (= (_ @t28 @t26) tptp.zero_zero_real))) % 151.64/152.02 (assume @p51 (forall @t120 (= (_ @t36 @t34) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p52 (forall @t93 (= (_ @t28 tptp.zero_zero_real) @t26))) % 151.64/152.02 (assume @p53 (forall @t120 (= (_ @t36 tptp.zero_zero_nat) @t34))) % 151.64/152.02 (assume @p54 (forall @t120 (= (_ @t122 @t34) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p55 (forall @t73 (= (_ @t72 @t35) @t34))) % 151.64/152.02 (assume @p56 (= (_ tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real)) % 151.64/152.02 (assume @p57 (forall @t93 (= (= @t53 tptp.zero_zero_real) @t118))) % 151.64/152.02 (assume @p58 (forall @t93 (= (= tptp.zero_zero_real @t53) @t118))) % 151.64/152.02 (assume @p59 (forall @t93 (= (_ @t25 @t119) @t123))) % 151.64/152.02 (assume @p60 (forall @t93 (= (_ (_ tptp.ord_less_eq_real @t119) tptp.zero_zero_real) @t124))) % 151.64/152.02 (assume @p61 (forall @t55 (= (_ @t98 @t86) @t125))) % 151.64/152.02 (assume @p62 (forall @t73 (= (_ @t102 @t82) @t127))) % 151.64/152.02 (assume @p63 (forall @t55 (= (_ @t98 @t57) @t125))) % 151.64/152.02 (assume @p64 (forall @t73 (= (_ @t102 @t71) @t127))) % 151.64/152.02 (assume @p65 (forall @t55 (= (_ @t128 @t27) @t124))) % 151.64/152.02 (assume @p66 (forall @t73 (= (_ @t130 @t35) @t129))) % 151.64/152.02 (assume @p67 (forall @t33 (= (_ (_ tptp.ord_less_eq_real @t86) @t27) @t124))) % 151.64/152.02 (assume @p68 (forall @t41 (= (_ (_ tptp.ord_less_eq_nat @t82) @t35) @t129))) % 151.64/152.02 (assume @p69 (forall @t55 (= (_ @t25 @t29) @t32))) % 151.64/152.02 (assume @p70 (forall @t73 (= (_ @t36 @t71) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p71 (forall @t93 (= (_ @t131 tptp.zero_zero_real) @t118))) % 151.64/152.02 (assume @p72 (forall @t93 (= (_ @t131 @t26) @t123))) % 151.64/152.02 (assume @p73 (forall @t93 (=> @t123 (= @t53 @t26)))) % 151.64/152.02 (assume @p74 (forall @t134 (= (= tptp.zero_zero_real @t132) @t133))) % 151.64/152.02 (assume @p75 (forall @t135 (= (= tptp.zero_zero_nat @t110) @t111))) % 151.64/152.02 (assume @p76 (forall @t135 @t136)) % 151.64/152.02 (assume @p77 (not (= tptp.zero_zero_real tptp.one_one_real))) % 151.64/152.02 (assume @p78 (not (= tptp.zero_zero_nat tptp.one_one_nat))) % 151.64/152.02 (assume @p79 (= (lambda (@list @t142 @t141) (= @t142 @t141)) (lambda @t140 (= @t139 tptp.zero_zero_real)))) % 151.64/152.02 (assume @p80 (forall @t147 (=> (_ @t146 tptp.zero_zero_real) (=> (_ (_ tptp.ord_less_eq_real @t143) tptp.zero_zero_real) @t145)))) % 151.64/152.02 (assume @p81 (forall @t114 (=> (_ (_ tptp.ord_less_eq_nat @t110) tptp.zero_zero_nat) (=> (_ (_ tptp.ord_less_eq_nat @t109) tptp.zero_zero_nat) @t115)))) % 151.64/152.02 (assume @p82 (forall @t147 (=> (_ @t25 @t132) (=> (_ @t25 @t143) @t145)))) % 151.64/152.02 (assume @p83 (forall @t114 (=> @t136 (=> (_ @t126 @t109) @t115)))) % 151.64/152.02 (assume @p84 (forall @t55 (=> @t124 (=> (_ @t31 tptp.zero_zero_real) (_ @t128 tptp.zero_zero_real))))) % 151.64/152.02 (assume @p85 (forall @t73 (=> @t129 (=> (_ @t39 tptp.zero_zero_nat) (_ @t130 tptp.zero_zero_nat))))) % 151.64/152.02 (assume @p86 (forall @t55 (=> @t123 (=> @t125 (_ @t25 @t57))))) % 151.64/152.02 (assume @p87 (forall @t73 (=> @t148 (=> @t127 (_ @t126 @t71))))) % 151.64/152.02 (assume @p88 (forall @t151 (=> @t150 (=> @t32 @t149)))) % 151.64/152.02 (assume @p89 (forall @t154 (=> @t153 (=> @t40 @t152)))) % 151.64/152.02 (assume @p90 (forall @t63 (=> (_ @t156 tptp.zero_zero_real) (=> @t99 @t155)))) % 151.64/152.02 (assume @p91 (forall @t69 (=> (_ @t158 tptp.zero_zero_nat) (=> @t103 @t157)))) % 151.64/152.02 (assume @p92 (forall @t92 (=> @t123 (=> (_ @t31 @t59) @t149)))) % 151.64/152.02 (assume @p93 (forall @t90 (=> @t148 (=> @t159 @t152)))) % 151.64/152.02 (assume @p94 (forall @t77 (=> @t124 (=> (_ @t156 @t27) @t155)))) % 151.64/152.02 (assume @p95 (forall @t80 (=> @t129 (=> (_ @t158 @t35) @t157)))) % 151.64/152.02 (assume @p96 (not (_ @t160 tptp.zero_zero_real))) % 151.64/152.02 (assume @p97 (not (_ @t161 tptp.zero_zero_nat))) % 151.64/152.02 (assume @p98 (_ @t25 tptp.one_one_real)) % 151.64/152.02 (assume @p99 (_ @t126 tptp.one_one_nat)) % 151.64/152.02 (assume @p100 (= tptp.ord_less_eq_real (lambda @t140 (_ (_ tptp.ord_less_eq_real @t139) tptp.zero_zero_real)))) % 151.64/152.02 (assume @p101 (forall @t93 (_ @t25 @t53))) % 151.64/152.02 (assume @p102 (forall (@list @t4 @t2 @t162 @t1) (=> (and @t163 (_ @t10 @t162) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.plus_plus_real @t3) tptp.genClo1278781456e_beta)) @t162)) (_ (_ tptp.ord_less_eq_real @t6) @t162)))) % 151.64/152.02 (assume @p103 (forall @t84 (=> @t83 @t81))) % 151.64/152.02 (assume @p104 (forall @t88 (=> @t87 @t85))) % 151.64/152.02 (assume @p105 (forall @t90 (=> @t89 @t81))) % 151.64/152.02 (assume @p106 (forall @t92 (=> @t91 @t85))) % 151.64/152.02 (assume @p107 (forall @t84 (= (_ @t38 @t79) @t164))) % 151.64/152.02 (assume @p108 (forall @t88 (= (_ @t30 @t75) @t165))) % 151.64/152.02 (assume @p109 (= tptp.plus_plus_nat (lambda @t168 (_ (_ tptp.plus_plus_nat @t167) @t166)))) % 151.64/152.02 (assume @p110 (= tptp.plus_plus_real (lambda @t140 (_ (_ tptp.plus_plus_real @t137) @t138)))) % 151.64/152.02 (assume @p111 (forall @t90 (= (_ (_ tptp.plus_plus_nat @t71) @t64) @t164))) % 151.64/152.02 (assume @p112 (forall @t92 (= (_ (_ tptp.plus_plus_real @t57) @t59) @t165))) % 151.64/152.02 (assume @p113 (forall (@list @t172 @t169 @t35 @t34) (=> (= @t172 (_ @t170 @t35)) (= (_ @t70 @t172) @t171)))) % 151.64/152.02 (assume @p114 (forall (@list @t176 @t173 @t27 @t26) (=> (= @t176 (_ @t174 @t27)) (= (_ @t56 @t176) @t175)))) % 151.64/152.02 (assume @p115 (forall (@list @t177 @t169 @t34 @t35) (=> (= @t177 (_ @t170 @t34)) (= (_ (_ tptp.plus_plus_nat @t177) @t35) @t171)))) % 151.64/152.02 (assume @p116 (forall @t180 (=> @t179 (= (_ (_ tptp.plus_plus_real @t178) @t27) @t175)))) % 151.64/152.02 (assume @p117 (forall @t188 (=> (and @t187 @t186) (= @t185 @t184)))) % 151.64/152.02 (assume @p118 (forall @t197 (=> (and @t196 @t195) (= @t194 @t192)))) % 151.64/152.02 (assume @p119 (forall @t135 (= (= tptp.one_one_nat @t110) (= @t110 tptp.one_one_nat)))) % 151.64/152.02 (assume @p120 (forall @t134 (= (= tptp.one_one_real @t132) (= @t132 tptp.one_one_real)))) % 151.64/152.02 (assume @p121 (forall @t77 (= @t200 @t198))) % 151.64/152.02 (assume @p122 (forall @t80 (= (_ (_ tptp.minus_minus_nat (_ @t36 @t64)) @t35) @t201))) % 151.64/152.02 (assume @p123 (forall @t206 (=> @t205 (= @t203 (= @t59 @t202))))) % 151.64/152.02 (assume @p124 (forall @t212 (=> @t50 (=> (_ @t211 @t48) (_ @t25 @t210))))) % 151.64/152.02 (assume @p125 (forall @t215 (=> (and @t214 @t163) (_ @t12 @t213)))) % 151.64/152.02 (assume @p126 (forall @t77 (=> @t101 @t99))) % 151.64/152.02 (assume @p127 (forall @t80 (=> @t105 @t103))) % 151.64/152.02 (assume @p128 (forall @t63 (=> @t106 @t99))) % 151.64/152.02 (assume @p129 (forall @t69 (=> @t108 @t103))) % 151.64/152.02 (assume @p130 (forall @t92 (=> @t99 @t101))) % 151.64/152.02 (assume @p131 (forall @t90 (=> @t103 @t105))) % 151.64/152.02 (assume @p132 (forall @t73 (=> @t103 (not (forall (@list @t216) (not (= @t35 (_ @t70 @t216)))))))) % 151.64/152.02 (assume @p133 (forall @t92 (=> @t99 @t106))) % 151.64/152.02 (assume @p134 (forall @t90 (=> @t103 @t108))) % 151.64/152.02 (assume @p135 (forall @t206 (=> @t99 (=> @t217 (_ @t100 (_ @t30 @t202)))))) % 151.64/152.02 (assume @p136 (forall @t220 (=> @t103 (=> @t219 (_ @t104 (_ @t38 @t218)))))) % 151.64/152.02 (assume @p137 (forall @t197 (=> (and @t225 @t223) @t222))) % 151.64/152.02 (assume @p138 (forall @t188 (=> (and @t231 @t229) @t227))) % 151.64/152.02 (assume @p139 (forall @t197 (=> (and @t196 @t223) @t222))) % 151.64/152.02 (assume @p140 (forall @t188 (=> (and @t187 @t229) @t227))) % 151.64/152.02 (assume @p141 (forall @t197 (=> (and @t225 @t195) @t222))) % 151.64/152.02 (assume @p142 (forall @t188 (=> (and @t231 @t186) @t227))) % 151.64/152.02 (assume @p143 (forall @t206 (=> @t205 (= @t99 @t217)))) % 151.64/152.02 (assume @p144 (forall @t92 (=> @t99 (_ @t234 @t233)))) % 151.64/152.02 (assume @p145 (forall @t88 (=> @t32 (_ (_ tptp.ord_less_eq_real (_ @t204 @t26)) @t235)))) % 151.64/152.02 (assume @p146 (forall (@list @t26 @t27 @t202 @t59) (=> @t99 (=> (_ (_ tptp.ord_less_eq_real @t202) @t59) (_ @t234 @t236))))) % 151.64/152.02 (assume @p147 (forall @t151 (=> (= @t61 @t26) (= @t59 @t29)))) % 151.64/152.02 (assume @p148 (forall @t154 (=> (= @t66 @t34) (= @t64 @t37)))) % 151.64/152.02 (assume @p149 (forall @t92 (= @t198 @t237))) % 151.64/152.02 (assume @p150 (forall @t90 (= @t201 (_ @t36 @t78)))) % 151.64/152.02 (assume @p151 (forall @t92 (= @t237 @t200))) % 151.64/152.02 (assume @p152 (forall @t92 (= (_ @t42 @t59) @t238))) % 151.64/152.02 (assume @p153 (forall @t92 (= (_ @t28 @t233) @t238))) % 151.64/152.02 (assume @p154 (forall @t92 (= (_ @t56 @t233) (_ @t58 @t59)))) % 151.64/152.02 (assume @p155 (forall @t77 (= (= @t26 @t235) (= @t57 @t59)))) % 151.64/152.02 (assume @p156 (forall @t92 (= (= @t29 @t59) (= @t26 @t61)))) % 151.64/152.02 (assume @p157 (forall @t180 (=> @t179 (= (_ (_ tptp.minus_minus_real @t178) @t27) (_ @t174 @t29))))) % 151.64/152.02 (assume @p158 (forall @t93 (_ @t98 @t53))) % 151.64/152.02 (assume @p159 (forall @t55 (=> (_ @t131 @t27) @t99))) % 151.64/152.02 (assume @p160 (forall @t55 (= @t240 @t239))) % 151.64/152.02 (assume @p161 (forall @t90 (=> @t103 (=> @t103 (= (= @t242 @t64) (= @t35 @t67)))))) % 151.64/152.02 (assume @p162 (forall @t73 (=> @t103 (= (_ @t70 @t242) @t35)))) % 151.64/152.02 (assume @p163 (forall @t90 (=> @t103 (= (_ @t243 @t242) (_ @t68 @t35))))) % 151.64/152.02 (assume @p164 (forall @t90 (=> @t103 (= @t246 @t245)))) % 151.64/152.02 (assume @p165 (forall @t90 (=> @t103 (= @t245 @t246)))) % 151.64/152.02 (assume @p166 (forall @t90 (=> @t103 (= @t248 @t247)))) % 151.64/152.02 (assume @p167 (forall @t90 (=> @t103 (= @t247 @t248)))) % 151.64/152.02 (assume @p168 (forall @t90 (=> @t103 (= (_ @t158 @t242) (_ @t107 @t35))))) % 151.64/152.02 (assume @p169 (forall @t90 (=> @t103 (_ @t158 @t246)))) % 151.64/152.02 (assume @p170 (forall (@list @t193 @t173 @t249 @t190) (=> @t252 (=> @t251 (=> @t252 (=> @t251 (_ (_ tptp.ord_less_eq_real @t250) @t190))))))) % 151.64/152.02 (assume @p171 (forall (@list @t44 @t169 @t94 @t182) (=> @t257 (=> @t256 (=> @t257 (=> @t256 (_ (_ tptp.ord_less_eq_nat @t254) @t182))))))) % 151.64/152.02 (assume @p172 (forall @t73 (=> @t103 (= (_ @t244 @t34) @t35)))) % 151.64/152.02 (assume @p173 (forall (@list @t193 @t173 @t249) (=> @t252 (_ @t224 @t250)))) % 151.64/152.02 (assume @p174 (forall (@list @t44 @t169 @t94) (=> @t257 (_ @t230 @t254)))) % 151.64/152.02 (assume @p175 (forall @t77 (= (_ @t98 @t235) (_ @t128 @t59)))) % 151.64/152.02 (assume @p176 (forall @t92 (= (_ (_ tptp.ord_less_eq_real @t29) @t59) (_ @t98 @t61)))) % 151.64/152.02 (assume @p177 (forall @t55 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t57)) @t54))) % 151.64/152.02 (assume @p178 (forall @t55 (_ @t259 @t239))) % 151.64/152.02 (assume @p179 (forall @t55 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t258)) @t240))) % 151.64/152.02 (assume @p180 (forall @t55 (_ @t259 @t240))) % 151.64/152.02 (assume @p181 (forall @t206 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ @t58 (_ @t60 @t202)))) (_ (_ tptp.plus_plus_real (_ tptp.abs_abs_real @t199)) (_ tptp.abs_abs_real @t236))))) % 151.64/152.02 (assume @p182 (forall @t55 (_ (_ tptp.ord_less_eq_real @t240) @t54))) % 151.64/152.02 (assume @p183 (forall (@list @t132 @t26 @t260) (= (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real @t132) @t26))) @t260) (and (_ (_ tptp.ord_less_eq_real (_ @t28 @t260)) @t132) (_ @t146 (_ @t56 @t260)))))) % 151.64/152.02 (assume @p184 (_ @t25 @t262)) % 151.64/152.02 (assume @p185 (= (_ (_ tptp.minus_minus_real tptp.one_one_real) tptp.one_one_real) tptp.zero_zero_real)) % 151.64/152.02 (assume @p186 (forall @t212 (=> @t50 (=> (_ @t211 @t208) (_ (_ tptp.ord_less_eq_real @t210) (_ (_ tptp.plus_plus_real tptp.genClo1650508560e_rmax) tptp.genClo1278781456e_beta)))))) % 151.64/152.02 (assume @p187 (forall @t51 (=> @t50 (_ @t264 @t263)))) % 151.64/152.02 (assume @p188 (forall @t267 (=> (and @t163 (_ (_ tptp.ord_less_eq_real @t266) @t162)) (_ @t264 @t265)))) % 151.64/152.02 (assume @p189 (forall @t51 (=> @t50 (_ (_ tptp.ord_less_eq_real @t263) tptp.genClo1650508560e_rmax)))) % 151.64/152.02 (assume @p190 (forall @t267 (=> (and @t163 (_ (_ tptp.ord_less_eq_real @t162) @t266)) (_ (_ tptp.ord_less_eq_real @t265) tptp.genClo1650508560e_rmax)))) % 151.64/152.02 (assume @p191 (forall (@list @t132 @t143 @t269 @t268) (=> (= @t132 @t143) (=> (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t269)) @t268) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t144 @t269)) @t143))) @t268))))) % 151.64/152.02 (assume @p192 (forall @t275 (=> @t274 (= @t273 @t270)))) % 151.64/152.02 (assume @p193 (forall @t97 (_ @t126 @t94))) % 151.64/152.02 (assume @p194 (forall @t120 @t148)) % 151.64/152.02 (assume @p195 (forall @t279 (= (= @t278 tptp.zero_zero_nat) (and (= @t276 tptp.zero_zero_nat) @t95)))) % 151.64/152.02 (assume @p196 (forall @t280 (= (_ @t277 tptp.zero_zero_nat) @t276))) % 151.64/152.02 (assume @p197 (forall @t97 (= (_ @t122 @t94) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p198 (forall @t280 (= (_ @t281 @t276) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p199 (forall @t285 (= (_ (_ tptp.ord_less_eq_nat @t284) @t283) @t282))) % 151.64/152.02 (assume @p200 (forall @t279 (= @t287 @t282))) % 151.64/152.02 (assume @p201 (forall @t279 (=> @t282 @t287))) % 151.64/152.02 (assume @p202 (forall (@list @t44 @t94) (=> (_ @t230 @t94) (= (_ @t253 (_ @t253 @t44)) @t44)))) % 151.64/152.02 (assume @p203 (forall @t290 (= @t289 (_ @t288 @t255)))) % 151.64/152.02 (assume @p204 (forall @t275 (=> @t274 (= (_ @t288 @t272) (_ (_ tptp.minus_minus_nat @t185) @t182))))) % 151.64/152.02 (assume @p205 (forall @t275 (=> @t274 (= @t292 @t291)))) % 151.64/152.02 (assume @p206 (forall @t97 (_ @t96 @t94))) % 151.64/152.02 (assume @p207 (forall @t290 (=> @t231 (=> (_ @t293 @t169) (_ @t230 @t169))))) % 151.64/152.02 (assume @p208 (forall @t279 (=> @t294 @t282))) % 151.64/152.02 (assume @p209 (forall @t279 (=> @t282 (=> @t295 @t294)))) % 151.64/152.02 (assume @p210 (forall @t285 (=> @t298 (=> @t297 (= (= @t296 @t254) @t294))))) % 151.64/152.02 (assume @p211 (forall @t285 (=> @t298 (=> @t297 (= (_ (_ tptp.ord_less_eq_nat @t296) @t254) @t282))))) % 151.64/152.02 (assume @p212 (forall @t290 (= @t289 (_ (_ tptp.minus_minus_nat (_ @t288 @t169)) @t182)))) % 151.64/152.02 (assume @p213 (forall @t285 (=> @t298 (=> @t297 (= (_ (_ tptp.minus_minus_nat @t296) @t254) @t286))))) % 151.64/152.02 (assume @p214 (forall @t299 (=> @t282 (_ (_ tptp.ord_less_eq_nat (_ @t281 @t181)) (_ @t253 @t181))))) % 151.64/152.02 (assume @p215 (forall @t279 (_ (_ tptp.ord_less_eq_nat @t286) @t276))) % 151.64/152.02 (assume @p216 (forall @t80 (=> (_ @t102 @t64) (=> @t159 (= (_ (_ tptp.ord_less_eq_nat (_ @t243 @t34)) (_ @t243 @t35)) @t40))))) % 151.64/152.02 (assume @p217 (forall @t299 (=> @t282 (_ (_ tptp.ord_less_eq_nat (_ @t300 @t94)) (_ @t300 @t276))))) % 151.64/152.02 (assume @p218 (forall @t279 (or @t282 @t295))) % 151.64/152.02 (assume @p219 (forall @t279 (=> @t287 (=> (= (_ @t253 @t276) tptp.zero_zero_nat) @t294)))) % 151.64/152.02 (assume @p220 (forall @t280 (= (_ @t281 tptp.zero_zero_nat) @t276))) % 151.64/152.02 (assume @p221 (forall (@list @t303 @t169 @t35) (=> (_ @t303 @t169) (=> (forall (@list @t304) (=> (_ @t303 @t304) (_ (_ tptp.ord_less_eq_nat @t304) @t35))) (exists (@list @t301) (and (_ @t303 @t301) (forall (@list @t302) (=> (_ @t303 @t302) (_ (_ tptp.ord_less_eq_nat @t302) @t301))))))))) % 151.64/152.02 (assume @p222 (forall @t120 (= @t129 @t305))) % 151.64/152.02 (assume @p223 (forall @t120 (=> @t129 @t305))) % 151.64/152.02 (assume @p224 (forall @t97 (= (_ @t121 @t94) @t94))) % 151.64/152.02 (assume @p225 (forall @t279 (=> (= @t278 @t276) @t95))) % 151.64/152.02 (assume @p226 (forall @t308 (= (_ @t253 @t307) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p227 (forall @t309 (= (_ @t5 tptp.zero_zero_nat) tptp.zero_zero_real))) % 151.64/152.02 (assume @p228 (forall @t312 (=> @t311 (not (=> @t282 (not @t297)))))) % 151.64/152.02 (assume @p229 (forall @t308 (_ @t96 @t307))) % 151.64/152.02 (assume @p230 (forall @t308 (_ @t96 @t278))) % 151.64/152.02 (assume @p231 (forall @t312 (=> @t311 @t282))) % 151.64/152.02 (assume @p232 (forall @t312 (=> @t311 @t297))) % 151.64/152.02 (assume @p233 (forall (@list @t169 @t181) (=> @t229 (exists (@list @t313) (= @t181 (_ @t170 @t313)))))) % 151.64/152.02 (assume @p234 (forall @t188 (=> @t231 (=> @t229 @t227)))) % 151.64/152.02 (assume @p235 (forall @t290 (=> @t231 (_ @t226 @t255)))) % 151.64/152.02 (assume @p236 (forall @t314 (=> @t231 (_ @t230 (_ @t183 @t276))))) % 151.64/152.02 (assume @p237 (forall @t314 (=> @t231 (_ @t230 (_ @t277 @t182))))) % 151.64/152.02 (assume @p238 (= tptp.ord_less_eq_nat (lambda (@list @t316 @t317) (exists (@list @t315) (= @t317 (_ (_ tptp.plus_plus_nat @t316) @t315)))))) % 151.64/152.02 (assume @p239 (forall @t285 (= (_ (_ tptp.minus_minus_nat @t284) @t283) @t286))) % 151.64/152.02 (assume @p240 (forall @t312 (= (_ (_ tptp.minus_minus_nat @t310) (_ @t306 @t169)) @t286))) % 151.64/152.02 (assume @p241 (forall @t308 (= (_ (_ tptp.minus_minus_nat @t307) @t94) @t276))) % 151.64/152.02 (assume @p242 (forall @t279 (= (_ (_ tptp.minus_minus_nat @t278) @t94) @t276))) % 151.64/152.02 (assume @p243 (forall @t290 (=> @t231 (= (= (_ @t271 @t44) @t169) (= @t182 (_ @t170 @t44)))))) % 151.64/152.02 (assume @p244 (forall @t275 (=> @t274 (= @t291 @t292)))) % 151.64/152.02 (assume @p245 (forall @t275 (=> @t274 (= @t270 @t273)))) % 151.64/152.02 (assume @p246 (forall @t275 (=> @t274 (= (_ @t230 @t272) (_ @t226 @t182))))) % 151.64/152.02 (assume @p247 (forall (@list @t182 @t169 @t44) (= (_ (_ tptp.ord_less_eq_nat @t272) @t44) (_ @t293 @t185)))) % 151.64/152.02 (assume @p248 (forall @t215 (=> (and @t163 @t214) (_ (_ tptp.ord_less_eq_real (_ @t318 @t213)) (_ @t318 @t162))))) % 151.64/152.02 (assume @p249 (forall (@list @t132 @t143 @t319) (= (= @t132 (_ (_ tptp.minus_minus_real @t143) @t319)) (= @t143 (_ @t144 @t319))))) % 151.64/152.02 (assume @p250 (_ @t25 tptp.zero_zero_real)) % 151.64/152.02 (assume @p251 (_ @t126 tptp.zero_zero_nat)) % 151.64/152.02 (assume @p252 (_ (_ tptp.ord_less_eq_real tptp.genClo1278781456e_beta) tptp.genClo1651033342e_rmin)) % 151.64/152.02 (assume @p253 (_ @t160 tptp.one_one_real)) % 151.64/152.02 (assume @p254 (_ @t161 tptp.one_one_nat)) % 151.64/152.02 (assume @p255 (forall @t309 (=> (_ @t12 tptp.zero_zero_real) (and (_ @t25 @t320) (_ (_ tptp.ord_less_eq_real @t320) tptp.genClo872980712lle_mu))))) % 151.64/152.02 (assume @p256 (_ (_ tptp.ord_less_eq_real @t262) (_ (_ tptp.times_times_real @t24) (_ (_ tptp.plus_plus_real tptp.one_one_real) tptp.genClo1144207539le_rho)))) % 151.64/152.02 (assume @p257 (forall @t80 (= @t328 @t323))) % 151.64/152.02 (assume @p258 (forall @t77 (= @t335 @t330))) % 151.64/152.02 (assume @p259 (forall @t69 (= @t338 @t323))) % 151.64/152.02 (assume @p260 (forall @t63 (= @t342 @t330))) % 151.64/152.02 (assume @p261 (forall @t73 (= @t345 @t343))) % 151.64/152.02 (assume @p262 (forall @t55 (= @t348 @t346))) % 151.64/152.02 (assume @p263 (forall @t120 (= (_ @t326 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p264 (forall @t93 (= (_ @t333 tptp.zero_zero_real) tptp.zero_zero_real))) % 151.64/152.02 (assume @p265 (forall @t120 (= (_ (_ tptp.times_times_nat tptp.zero_zero_nat) @t34) tptp.zero_zero_nat))) % 151.64/152.02 (assume @p266 (forall @t93 (= (_ (_ tptp.times_times_real tptp.zero_zero_real) @t26) tptp.zero_zero_real))) % 151.64/152.02 (assume @p267 (forall @t120 (= (_ (_ tptp.times_times_nat tptp.one_one_nat) @t34) @t34))) % 151.64/152.02 (assume @p268 (forall @t93 (= (_ (_ tptp.times_times_real tptp.one_one_real) @t26) @t26))) % 151.64/152.02 (assume @p269 (forall @t120 (= (_ @t326 tptp.one_one_nat) @t34))) % 151.64/152.02 (assume @p270 (forall @t93 (= (_ @t333 tptp.one_one_real) @t26))) % 151.64/152.02 (assume @p271 (forall @t93 (= (_ @t349 @t53) (_ @t333 @t26)))) % 151.64/152.02 (assume @p272 (forall @t351 (= (= @t59 @t340) @t350))) % 151.64/152.02 (assume @p273 (forall (@list @t59 @t26) (= (= @t341 @t59) @t352))) % 151.64/152.02 (assume @p274 (forall @t351 (= (= @t59 @t332) @t350))) % 151.64/152.02 (assume @p275 (forall (@list @t26 @t59) (= (= @t334 @t59) @t352))) % 151.64/152.02 (assume @p276 (forall @t69 (=> @t353 (= @t328 @t321)))) % 151.64/152.02 (assume @p277 (forall @t63 (=> @t354 (= @t335 @t203)))) % 151.64/152.02 (assume @p278 (forall @t69 (=> @t353 (= @t338 @t321)))) % 151.64/152.02 (assume @p279 (forall @t63 (=> @t354 (= @t342 @t203)))) % 151.64/152.02 (assume @p280 (forall @t73 (=> @t357 (=> @t356 @t355)))) % 151.64/152.02 (assume @p281 (forall @t55 (=> @t360 (=> @t359 @t358)))) % 151.64/152.02 (assume @p282 (forall @t73 (=> @t345 @t343))) % 151.64/152.02 (assume @p283 (forall @t55 (=> @t348 @t346))) % 151.64/152.02 (assume @p284 (forall @t73 (=> @t355 (and @t357 @t356)))) % 151.64/152.02 (assume @p285 (forall @t55 (=> @t358 (and @t360 @t359)))) % 151.64/152.02 (assume @p286 (forall @t92 (= (_ @t361 @t59) (_ (_ tptp.plus_plus_real @t334) @t332)))) % 151.64/152.02 (assume @p287 (forall @t92 (= (_ @t333 @t74) (_ (_ tptp.plus_plus_real @t347) @t334)))) % 151.64/152.02 (assume @p288 (forall @t90 (= (_ @t362 @t64) (_ (_ tptp.plus_plus_nat @t327) @t325)))) % 151.64/152.02 (assume @p289 (forall @t90 (= (_ @t326 @t78) (_ (_ tptp.plus_plus_nat @t344) @t327)))) % 151.64/152.02 (assume @p290 (forall (@list @t34 @t363 @t35 @t64) (= (_ (_ tptp.plus_plus_nat (_ @t326 @t363)) (_ (_ tptp.plus_plus_nat (_ @t324 @t363)) @t64)) (_ (_ tptp.plus_plus_nat (_ @t362 @t363)) @t64)))) % 151.64/152.02 (assume @p291 (forall (@list @t26 @t364 @t27 @t59) (= (_ (_ tptp.plus_plus_real (_ @t333 @t364)) (_ (_ tptp.plus_plus_real (_ @t331 @t364)) @t59)) (_ (_ tptp.plus_plus_real (_ @t361 @t364)) @t59)))) % 151.64/152.02 (assume @p292 (forall @t92 (= (_ (_ tptp.times_times_real @t29) @t59) (_ (_ tptp.minus_minus_real @t334) @t332)))) % 151.64/152.02 (assume @p293 (forall @t92 (= (_ @t333 @t233) (_ (_ tptp.minus_minus_real @t347) @t334)))) % 151.64/152.02 (assume @p294 (forall (@list @t35 @t64 @t34) (= (_ (_ tptp.times_times_nat @t365) @t34) (_ (_ tptp.minus_minus_nat (_ @t324 @t34)) @t337)))) % 151.64/152.02 (assume @p295 (forall (@list @t27 @t59 @t26) (= (_ (_ tptp.times_times_real @t233) @t26) (_ (_ tptp.minus_minus_real (_ @t331 @t26)) @t341)))) % 151.64/152.02 (assume @p296 (forall @t90 (= (_ @t326 @t365) (_ (_ tptp.minus_minus_nat @t344) @t327)))) % 151.64/152.02 (assume @p297 (forall @t55 (= (_ tptp.abs_abs_real @t347) (_ @t349 @t52)))) % 151.64/152.02 (assume @p298 (forall @t84 (= (_ @t324 @t327) @t366))) % 151.64/152.02 (assume @p299 (forall @t88 (= (_ @t331 @t334) @t367))) % 151.64/152.02 (assume @p300 (= tptp.times_times_nat (lambda @t168 (_ (_ tptp.times_times_nat @t167) @t166)))) % 151.64/152.02 (assume @p301 (= tptp.times_times_real (lambda @t140 (_ (_ tptp.times_times_real @t137) @t138)))) % 151.64/152.02 (assume @p302 (forall @t90 (= (_ (_ tptp.times_times_nat @t344) @t64) @t366))) % 151.64/152.02 (assume @p303 (forall @t92 (= (_ (_ tptp.times_times_real @t347) @t59) @t367))) % 151.64/152.02 (assume @p304 (forall @t206 (=> @t99 (=> @t217 (=> @t125 (=> @t150 (_ (_ tptp.ord_less_eq_real @t334) (_ @t331 @t202)))))))) % 151.64/152.02 (assume @p305 (forall @t220 (=> @t103 (=> @t219 (=> @t127 (=> @t153 (_ (_ tptp.ord_less_eq_nat @t327) (_ @t324 @t218)))))))) % 151.64/152.02 (assume @p306 @t368) % 151.64/152.02 (assume @p307 true) % 151.64/152.02 (step @p308 (= tptp.ord_less_eq_nat @t370) :rule refl :args (@t370)) % 151.64/152.02 (step @p309 (= tptp.genClo293725282kRead2 @t376) :rule refl :args (@t376)) % 151.64/152.02 ; WARNING: add trust step for TRUST % 151.64/152.02 ; trust TRUST PREPROCESS_HO_ELIM % 151.64/152.02 (step @p310 :rule trust :premises () :args ((= (forall @t15 (or (not @t398) (not @t397) @t396)) @t391))) % 151.64/152.02 (step @p311 :rule refl :args ((tptp.ord_less_eq_real @t8 tptp.genClo1278781456e_beta))) % 151.64/152.02 (step @p312 :rule refl :args (tptp.genClo1278781456e_beta)) % 151.64/152.02 (step @p313 :rule refl :args ((tptp.abs_abs_real @t7))) % 151.64/152.02 (step @p314 :rule refl :args ((tptp.minus_minus_real @t6 @t3))) % 151.64/152.02 (step @p315 :rule refl :args (@t392)) % 151.64/152.02 (step @p316 :rule refl :args (@t393)) % 151.64/152.02 (step @p317 :rule cong :premises (@p316 @p315) :args (@t394)) % 151.64/152.02 (step @p318 :rule trans :premises (@p317 @p314)) % 151.64/152.02 (step @p319 :rule cong :premises (@p318) :args (@t395)) % 151.64/152.02 (step @p320 :rule trans :premises (@p319 @p313)) % 151.64/152.02 (step @p321 :rule cong :premises (@p320 @p312) :args (@t396)) % 151.64/152.02 (step @p322 :rule trans :premises (@p321 @p311)) % 151.64/152.02 (step @p323 :rule refl :args (tptp.ord_less_eq_real)) % 151.64/152.02 (step @p324 :rule ho_cong :premises (@p323 @p320)) % 151.64/152.02 (step @p325 :rule ho_cong :premises (@p324 @p312)) % 151.64/152.02 (step @p326 :rule cong :premises (@p325 @p322) :args ((= (_ (_ tptp.ord_less_eq_real @t395) tptp.genClo1278781456e_beta) @t396))) % 151.64/152.02 (step @p327 :rule symm :premises (@p326)) % 151.64/152.02 (step @p328 :rule refl :args (@t9)) % 151.64/152.02 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 151.64/152.02 (step @p330 :rule refl :args (tptp.abs_abs_real)) % 151.64/152.02 (step @p331 :rule ho_cong :premises (@p330 @p318)) % 151.64/152.02 (step @p332 :rule cong :premises (@p331 @p320) :args ((= (_ tptp.abs_abs_real @t394) @t395))) % 151.64/152.02 (step @p333 :rule symm :premises (@p332)) % 151.64/152.02 (step @p334 :rule refl :args (@t8)) % 151.64/152.02 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 151.64/152.02 (step @p336 :rule refl :args (tptp.minus_minus_real)) % 151.64/152.02 (step @p337 :rule ho_cong :premises (@p336 @p316)) % 151.64/152.02 (step @p338 :rule ho_cong :premises (@p337 @p315)) % 151.64/152.02 (step @p339 :rule cong :premises (@p338 @p318) :args ((= (_ (_ tptp.minus_minus_real @t393) @t392) @t394))) % 151.64/152.02 (step @p340 :rule symm :premises (@p339)) % 151.64/152.02 (step @p341 :rule refl :args (@t7)) % 151.64/152.02 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 151.64/152.02 (step @p343 :rule refl :args (@t3)) % 151.64/152.02 (step @p344 :rule cong :premises (@p343 @p315) :args ((= @t3 @t392))) % 151.64/152.02 (step @p345 :rule symm :premises (@p344)) % 151.64/152.02 (step @p346 :rule eq_resolve :premises (@p343 @p345)) % 151.64/152.02 (step @p347 :rule refl :args (@t6)) % 151.64/152.02 (step @p348 :rule cong :premises (@p347 @p316) :args ((= @t6 @t393))) % 151.64/152.02 (step @p349 :rule symm :premises (@p348)) % 151.64/152.02 (step @p350 :rule eq_resolve :premises (@p347 @p349)) % 151.64/152.02 (step @p351 :rule ho_cong :premises (@p336 @p350)) % 151.64/152.02 (step @p352 :rule ho_cong :premises (@p351 @p346)) % 151.64/152.02 (step @p353 :rule trans :premises (@p352 @p342)) % 151.64/152.02 (step @p354 :rule ho_cong :premises (@p330 @p353)) % 151.64/152.02 (step @p355 :rule trans :premises (@p354 @p335)) % 151.64/152.02 (step @p356 :rule ho_cong :premises (@p323 @p355)) % 151.64/152.02 (step @p357 :rule ho_cong :premises (@p356 @p312)) % 151.64/152.02 (step @p358 :rule trans :premises (@p357 @p329)) % 151.64/152.02 (step @p359 :rule refl :args ((tptp.genClo1015804716orrect @t2 @t3))) % 151.64/152.02 (step @p360 :rule refl :args (@t2)) % 151.64/152.02 (step @p361 :rule cong :premises (@p360 @p315) :args (@t397)) % 151.64/152.02 (step @p362 :rule trans :premises (@p361 @p359)) % 151.64/152.02 (step @p363 :rule refl :args (@t10)) % 151.64/152.02 (step @p364 :rule ho_cong :premises (@p363 @p315)) % 151.64/152.02 (step @p365 :rule cong :premises (@p364 @p362) :args ((= (_ @t10 @t392) @t397))) % 151.64/152.02 (step @p366 :rule symm :premises (@p365)) % 151.64/152.02 (step @p367 :rule refl :args (@t11)) % 151.64/152.02 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 151.64/152.02 (step @p369 :rule ho_cong :premises (@p363 @p346)) % 151.64/152.02 (step @p370 :rule trans :premises (@p369 @p368)) % 151.64/152.02 (step @p371 :rule cong :premises (@p370) :args (@t399)) % 151.64/152.02 (step @p372 :rule refl :args ((tptp.genClo1015804716orrect @t4 @t6))) % 151.64/152.02 (step @p373 :rule refl :args (@t4)) % 151.64/152.02 (step @p374 :rule cong :premises (@p373 @p316) :args (@t398)) % 151.64/152.02 (step @p375 :rule trans :premises (@p374 @p372)) % 151.64/152.02 (step @p376 :rule refl :args (@t12)) % 151.64/152.02 (step @p377 :rule ho_cong :premises (@p376 @p316)) % 151.64/152.02 (step @p378 :rule cong :premises (@p377 @p375) :args ((= (_ @t12 @t393) @t398))) % 151.64/152.02 (step @p379 :rule symm :premises (@p378)) % 151.64/152.02 (step @p380 :rule refl :args (@t13)) % 151.64/152.02 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 151.64/152.02 (step @p382 :rule ho_cong :premises (@p376 @p350)) % 151.64/152.02 (step @p383 :rule trans :premises (@p382 @p381)) % 151.64/152.02 (step @p384 :rule cong :premises (@p383) :args (@t400)) % 151.64/152.02 (step @p385 :rule nary_cong :premises (@p384 @p371 @p358) :args (@t401)) % 151.64/152.02 (step @p386 :rule cong :premises (@p385) :args ((forall @t15 @t401))) % 151.64/152.02 (step @p387 :rule aci_norm :args ((= (or (or @t400 @t399) @t9) @t401))) % 151.64/152.02 (step @p388 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 151.64/152.02 (step @p389 :rule nary_cong :premises (@p388 @p328) :args ((or (not @t14) @t9))) % 151.64/152.02 (step @p390 :rule trans :premises (@p389 @p387)) % 151.64/152.02 (step @p391 :rule bool-impl-elim :args (@t14 @t9)) % 151.64/152.02 (step @p392 :rule trans :premises (@p391 @p390)) % 151.64/152.02 (step @p393 :rule cong :premises (@p392) :args (@t16)) % 151.64/152.02 (step @p394 :rule trans :premises (@p393 @p386)) % 151.64/152.02 (step @p395 :rule trans :premises (@p394 @p310)) % 151.64/152.02 (step @p396 :rule eq_resolve :premises (@p1 @p395)) % 151.64/152.02 ; trust TRUST PREPROCESS_HO_ELIM % 151.64/152.02 (step @p397 :rule trust :premises () :args ((= @t22 @t404))) % 151.64/152.02 (step @p398 :rule eq_resolve :premises (@p3 @p397)) % 151.64/152.02 ; trust TRUST PREPROCESS_HO_ELIM % 151.64/152.02 (step @p399 :rule trust :premises () :args ((= @t19 @t406))) % 151.64/152.02 (step @p400 :rule eq_resolve :premises (@p2 @p399)) % 151.64/152.02 ; trust TRUST PREPROCESS_HO_ELIM % 151.64/152.02 (step @p401 :rule trust :premises () :args ((= @t368 (not @t407)))) % 151.64/152.02 (step @p402 :rule eq_resolve :premises (@p306 @p401)) % 151.64/152.02 (step @p403 :rule cnf_or_pos :args (@t410)) % 151.64/152.02 (step @p404 :rule reordering :premises (@p403) :args ((or @t407 @t409 @t408 @t411))) % 151.64/152.02 (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p400 @p398) :args (@t411 (@list true false false) (@list @t407 @t406 @t404))) % 151.64/152.02 (assume-push @p412 @t391) % 151.64/152.02 (step @p407 :rule instantiate :premises (@p396) :args ((@list tptp.p tptp.q @t402))) % 151.64/152.02 (step-pop @p413 :rule scope :premises (@p407)) % 151.64/152.02 (step @p408 :rule process_scope :premises (@p413) :args (@t410)) % 151.64/152.02 (step @p410 :rule implies_elim :premises (@p408)) % 151.64/152.02 (step @p411 false :rule chain_m_resolution :premises (@p410 @p405 @p396) :args (false (@list true false) (@list @t410 @t391))) % 151.64/152.02 ) % 151.64/152.02 % SZS output end Proof % 151.64/152.02 % cvc5 exiting %------------------------------------------------------------------------------