%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP064^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:24:57 AM UTC 2026 % Result : Theorem 0.25s 0.51s % Output : Proof 0.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ITP064^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 04:12:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.37 %----Proving TH0 % 0.25/0.51 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.25/0.51 % SZS status Theorem % 0.25/0.51 % SZS output start Proof % 0.25/0.51 ( % 0.25/0.51 (declare-sort tptp.nat 0) % 0.25/0.51 (declare-sort tptp.real 0) % 0.25/0.51 (declare-const tptp.ord_max_real (-> tptp.real tptp.real tptp.real)) % 0.25/0.51 (declare-const tptp.ord_max_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.25/0.51 (declare-const tptp.genClo1163638703lle_te (-> tptp.nat tptp.nat tptp.real)) % 0.25/0.51 (declare-const tptp.genClo1160817912lle_IC (-> tptp.nat tptp.nat tptp.real tptp.real)) % 0.25/0.51 (declare-const tptp.minus_minus_real (-> tptp.real tptp.real tptp.real)) % 0.25/0.51 (declare-const tptp.abs_abs_real (-> tptp.real tptp.real)) % 0.25/0.51 (declare-const tptp.genClo1015804716orrect (-> tptp.nat tptp.real Bool)) % 0.25/0.51 (declare-const tptp.zero_zero_nat tptp.nat) % 0.25/0.51 (declare-const tptp.zero_zero_real tptp.real) % 0.25/0.51 (declare-const tptp.genClo721845095Lambda tptp.real) % 0.25/0.51 (declare-const tptp.one_one_nat tptp.nat) % 0.25/0.51 (declare-const tptp.i tptp.nat) % 0.25/0.51 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.25/0.51 (declare-const tptp.genClo1651033342e_rmin tptp.real) % 0.25/0.51 (declare-const tptp.p tptp.nat) % 0.25/0.51 (declare-const tptp.genClo1278781456e_beta tptp.real) % 0.25/0.51 (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat)) % 0.25/0.51 (declare-const tptp.genClo1650508560e_rmax tptp.real) % 0.25/0.51 (declare-const tptp.m tptp.nat) % 0.25/0.51 (declare-const tptp.l tptp.nat) % 0.25/0.51 (declare-const tptp.delta_S tptp.real) % 0.25/0.51 (declare-const tptp.plus_plus_real (-> tptp.real tptp.real tptp.real)) % 0.25/0.51 (declare-const tptp.genClo1400225944_theta (-> tptp.nat tptp.nat tptp.nat tptp.real)) % 0.25/0.51 (declare-const tptp.if_real (-> Bool tptp.real tptp.real tptp.real)) % 0.25/0.51 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.25/0.51 (declare-const tptp.one_one_real tptp.real) % 0.25/0.51 (define tptp.ord_less_eq_real () (let ((_let_1 (@var "B2" tptp.real))) (let ((_let_2 (@var "A2" tptp.real))) (lambda (@list _let_2 _let_1) (= (_ (_ tptp.ord_max_real _let_2) _let_1) _let_1))))) % 0.25/0.51 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "B2" tptp.nat))) (let ((_let_2 (@var "A2" tptp.nat))) (lambda (@list _let_2 _let_1) (= (_ (_ tptp.ord_max_nat _let_2) _let_1) _let_1))))) % 0.25/0.51 (define tptp.genClo208577157axsync () (let ((_let_1 (@var "X3" tptp.real))) (let ((_let_2 (@var "I2" tptp.nat))) (let ((_let_3 (@var "Q" tptp.nat))) (let ((_let_4 (@var "P4" tptp.nat))) (let ((_let_5 (_ (_ tptp.ord_max_real (_ (_ tptp.genClo1163638703lle_te _let_4) _let_2)) (_ (_ tptp.genClo1163638703lle_te _let_3) _let_2)))) (lambda (@list _let_2 _let_1) (forall (@list _let_4 _let_3) (=> (and (_ (_ tptp.genClo1015804716orrect _let_4) _let_5) (_ (_ tptp.genClo1015804716orrect _let_3) _let_5)) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ (_ (_ tptp.genClo1160817912lle_IC _let_4) _let_2) _let_5)) (_ (_ (_ tptp.genClo1160817912lle_IC _let_3) _let_2) _let_5)))) _let_1)))))))))) % 0.25/0.51 (define tptp.genClo293725282kRead2 () (let ((_let_1 (@var "X3" tptp.real))) (let ((_let_2 (@var "P4" tptp.nat))) (let ((_let_3 (@var "G" (-> tptp.nat tptp.real)))) (let ((_let_4 (@var "F2" (-> 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)))))))))) % 0.25/0.51 (define tptp.genClo293725281kRead1 () (let ((_let_1 (@var "X3" tptp.real))) (let ((_let_2 (@var "M2" tptp.nat))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.real)))) (let ((_let_4 (@var "L2" tptp.nat))) (let ((_let_5 (@var "Ppred" (-> tptp.nat Bool)))) (lambda (@list _let_3 _let_1 _let_5) (forall (@list _let_4 _let_2) (=> (and (_ _let_5 _let_4) (_ _let_5 _let_2)) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ _let_3 _let_4)) (_ _let_3 _let_2)))) _let_1)))))))))) % 0.25/0.51 (define @t1 () (@var "S" tptp.real)) % 0.25/0.51 (define @t2 () (@var "P" tptp.nat)) % 0.25/0.51 (define @t3 () (_ tptp.genClo1015804716orrect @t2)) % 0.25/0.51 (define @t4 () (_ @t3 @t1)) % 0.25/0.51 (define @t5 () (@var "T" tptp.real)) % 0.25/0.51 (define @t6 () (_ @t3 @t5)) % 0.25/0.51 (define @t7 () (and (_ (_ tptp.ord_less_eq_real @t1) @t5) @t6)) % 0.25/0.51 (define @t8 () (=> @t7 @t4)) % 0.25/0.51 (define @t9 () (@list @t2 @t1 @t5)) % 0.25/0.51 (define @t10 () (forall @t9 @t8)) % 0.25/0.51 (define @t11 () (_ (_ tptp.plus_plus_nat tptp.i) tptp.one_one_nat)) % 0.25/0.51 (define @t12 () (_ tptp.genClo1163638703lle_te tptp.p)) % 0.25/0.51 (define @t13 () (_ @t12 @t11)) % 0.25/0.51 (define @t14 () (_ tptp.genClo1015804716orrect tptp.m)) % 0.25/0.51 (define @t15 () (_ @t14 @t13)) % 0.25/0.51 (define @t16 () (_ (_ tptp.genClo1163638703lle_te tptp.m) tptp.i)) % 0.25/0.51 (define @t17 () (_ (_ tptp.genClo1163638703lle_te tptp.l) tptp.i)) % 0.25/0.51 (define @t18 () (_ (_ tptp.ord_max_real @t17) @t16)) % 0.25/0.51 (define @t19 () (_ tptp.genClo1015804716orrect tptp.l)) % 0.25/0.51 (define @t20 () (@var "A" tptp.real)) % 0.25/0.51 (define @t21 () (_ tptp.ord_max_real @t20)) % 0.25/0.51 (define @t22 () (@list @t20)) % 0.25/0.51 (define @t23 () (@var "A" tptp.nat)) % 0.25/0.51 (define @t24 () (_ tptp.ord_max_nat @t23)) % 0.25/0.51 (define @t25 () (@list @t23)) % 0.25/0.51 (define @t26 () (@var "B" tptp.real)) % 0.25/0.51 (define @t27 () (_ @t21 @t26)) % 0.25/0.51 (define @t28 () (@list @t20 @t26)) % 0.25/0.51 (define @t29 () (@var "B" tptp.nat)) % 0.25/0.51 (define @t30 () (_ @t24 @t29)) % 0.25/0.51 (define @t31 () (@list @t23 @t29)) % 0.25/0.51 (define @t32 () (_ tptp.ord_max_real @t27)) % 0.25/0.51 (define @t33 () (_ tptp.ord_max_nat @t30)) % 0.25/0.51 (define @t34 () (@var "C" tptp.real)) % 0.25/0.51 (define @t35 () (_ tptp.ord_max_real @t26)) % 0.25/0.51 (define @t36 () (_ @t35 @t34)) % 0.25/0.51 (define @t37 () (_ @t21 @t36)) % 0.25/0.51 (define @t38 () (@list @t20 @t26 @t34)) % 0.25/0.51 (define @t39 () (@var "C" tptp.nat)) % 0.25/0.51 (define @t40 () (_ tptp.ord_max_nat @t29)) % 0.25/0.51 (define @t41 () (_ @t40 @t39)) % 0.25/0.51 (define @t42 () (_ @t24 @t41)) % 0.25/0.51 (define @t43 () (@list @t23 @t29 @t39)) % 0.25/0.51 (define @t44 () (@var "A2" tptp.real)) % 0.25/0.51 (define @t45 () (@var "B2" tptp.real)) % 0.25/0.51 (define @t46 () (@list @t44 @t45)) % 0.25/0.51 (define @t47 () (@var "A2" tptp.nat)) % 0.25/0.51 (define @t48 () (@var "B2" tptp.nat)) % 0.25/0.51 (define @t49 () (@list @t47 @t48)) % 0.25/0.51 (define @t50 () (@list @t26 @t20 @t34)) % 0.25/0.51 (define @t51 () (@list @t29 @t23 @t39)) % 0.25/0.51 (define @t52 () (@var "I" tptp.nat)) % 0.25/0.51 (define @t53 () (_ tptp.plus_plus_nat @t52)) % 0.25/0.51 (define @t54 () (@var "P2" tptp.nat)) % 0.25/0.51 (define @t55 () (_ tptp.genClo1163638703lle_te @t54)) % 0.25/0.51 (define @t56 () (_ @t55 (_ @t53 tptp.one_one_nat))) % 0.25/0.51 (define @t57 () (_ @t55 @t52)) % 0.25/0.51 (define @t58 () (_ (_ tptp.genClo1015804716orrect @t54) @t56)) % 0.25/0.51 (define @t59 () (@list @t54 @t52)) % 0.25/0.51 (define @t60 () (_ tptp.ord_less_eq_real @t34)) % 0.25/0.51 (define @t61 () (_ @t60 @t20)) % 0.25/0.51 (define @t62 () (_ tptp.ord_less_eq_real @t26)) % 0.25/0.51 (define @t63 () (_ @t62 @t20)) % 0.25/0.51 (define @t64 () (_ (_ tptp.ord_less_eq_real @t36) @t20)) % 0.25/0.51 (define @t65 () (@list @t26 @t34 @t20)) % 0.25/0.51 (define @t66 () (_ tptp.ord_less_eq_nat @t39)) % 0.25/0.51 (define @t67 () (_ @t66 @t23)) % 0.25/0.51 (define @t68 () (_ tptp.ord_less_eq_nat @t29)) % 0.25/0.51 (define @t69 () (_ @t68 @t23)) % 0.25/0.51 (define @t70 () (_ (_ tptp.ord_less_eq_nat @t41) @t23)) % 0.25/0.51 (define @t71 () (@list @t29 @t39 @t23)) % 0.25/0.51 (define @t72 () (@var "X" tptp.real)) % 0.25/0.51 (define @t73 () (@var "Y" tptp.real)) % 0.25/0.51 (define @t74 () (_ (_ tptp.ord_max_real @t72) @t73)) % 0.25/0.51 (define @t75 () (_ tptp.ord_less_eq_real @t73)) % 0.25/0.51 (define @t76 () (_ @t75 @t72)) % 0.25/0.51 (define @t77 () (@list @t73 @t72)) % 0.25/0.51 (define @t78 () (@var "X" tptp.nat)) % 0.25/0.51 (define @t79 () (@var "Y" tptp.nat)) % 0.25/0.51 (define @t80 () (_ (_ tptp.ord_max_nat @t78) @t79)) % 0.25/0.51 (define @t81 () (_ tptp.ord_less_eq_nat @t79)) % 0.25/0.51 (define @t82 () (_ @t81 @t78)) % 0.25/0.51 (define @t83 () (@list @t79 @t78)) % 0.25/0.51 (define @t84 () (_ tptp.ord_less_eq_real @t72)) % 0.25/0.51 (define @t85 () (@list @t72)) % 0.25/0.51 (define @t86 () (_ tptp.ord_less_eq_nat @t78)) % 0.25/0.51 (define @t87 () (@list @t78)) % 0.25/0.51 (define @t88 () (@var "F" (-> tptp.real tptp.real))) % 0.25/0.51 (define @t89 () (_ tptp.ord_less_eq_real @t20)) % 0.25/0.51 (define @t90 () (@var "Y2" tptp.real)) % 0.25/0.51 (define @t91 () (@var "X2" tptp.real)) % 0.25/0.51 (define @t92 () (_ (_ tptp.ord_less_eq_real @t91) @t90)) % 0.25/0.51 (define @t93 () (@list @t91 @t90)) % 0.25/0.51 (define @t94 () (forall @t93 (=> @t92 (_ (_ tptp.ord_less_eq_real (_ @t88 @t91)) (_ @t88 @t90))))) % 0.25/0.51 (define @t95 () (_ @t62 @t34)) % 0.25/0.51 (define @t96 () (=> @t95 (=> @t94 (_ @t89 (_ @t88 @t34))))) % 0.25/0.51 (define @t97 () (_ @t88 @t26)) % 0.25/0.51 (define @t98 () (@list @t20 @t88 @t26 @t34)) % 0.25/0.51 (define @t99 () (@var "F" (-> tptp.nat tptp.real))) % 0.25/0.51 (define @t100 () (@var "Y2" tptp.nat)) % 0.25/0.51 (define @t101 () (@var "X2" tptp.nat)) % 0.25/0.51 (define @t102 () (_ (_ tptp.ord_less_eq_nat @t101) @t100)) % 0.25/0.51 (define @t103 () (@list @t101 @t100)) % 0.25/0.51 (define @t104 () (forall @t103 (=> @t102 (_ (_ tptp.ord_less_eq_real (_ @t99 @t101)) (_ @t99 @t100))))) % 0.25/0.51 (define @t105 () (_ @t68 @t39)) % 0.25/0.51 (define @t106 () (=> @t105 (=> @t104 (_ @t89 (_ @t99 @t39))))) % 0.25/0.51 (define @t107 () (_ @t99 @t29)) % 0.25/0.51 (define @t108 () (@list @t20 @t99 @t29 @t39)) % 0.25/0.51 (define @t109 () (@var "F" (-> tptp.real tptp.nat))) % 0.25/0.51 (define @t110 () (_ tptp.ord_less_eq_nat @t23)) % 0.25/0.51 (define @t111 () (forall @t93 (=> @t92 (_ (_ tptp.ord_less_eq_nat (_ @t109 @t91)) (_ @t109 @t90))))) % 0.25/0.51 (define @t112 () (=> @t95 (=> @t111 (_ @t110 (_ @t109 @t34))))) % 0.25/0.51 (define @t113 () (_ @t109 @t26)) % 0.25/0.51 (define @t114 () (@list @t23 @t109 @t26 @t34)) % 0.25/0.51 (define @t115 () (@var "F" (-> tptp.nat tptp.nat))) % 0.25/0.51 (define @t116 () (forall @t103 (=> @t102 (_ (_ tptp.ord_less_eq_nat (_ @t115 @t101)) (_ @t115 @t100))))) % 0.25/0.51 (define @t117 () (=> @t105 (=> @t116 (_ @t110 (_ @t115 @t39))))) % 0.25/0.51 (define @t118 () (_ @t115 @t29)) % 0.25/0.51 (define @t119 () (@list @t23 @t115 @t29 @t39)) % 0.25/0.51 (define @t120 () (=> @t94 (_ (_ tptp.ord_less_eq_real (_ @t88 @t20)) @t34))) % 0.25/0.51 (define @t121 () (_ @t89 @t26)) % 0.25/0.51 (define @t122 () (@list @t20 @t26 @t88 @t34)) % 0.25/0.51 (define @t123 () (=> @t111 (_ (_ tptp.ord_less_eq_nat (_ @t109 @t20)) @t39))) % 0.25/0.51 (define @t124 () (@list @t20 @t26 @t109 @t39)) % 0.25/0.51 (define @t125 () (=> @t104 (_ (_ tptp.ord_less_eq_real (_ @t99 @t23)) @t34))) % 0.25/0.51 (define @t126 () (_ @t110 @t29)) % 0.25/0.51 (define @t127 () (@list @t23 @t29 @t99 @t34)) % 0.25/0.51 (define @t128 () (=> @t116 (_ (_ tptp.ord_less_eq_nat (_ @t115 @t23)) @t39))) % 0.25/0.51 (define @t129 () (@list @t23 @t29 @t115 @t39)) % 0.25/0.51 (define @t130 () (@var "X3" tptp.real)) % 0.25/0.51 (define @t131 () (@var "Y4" tptp.real)) % 0.25/0.51 (define @t132 () (@var "Z" tptp.real)) % 0.25/0.51 (define @t133 () (@var "Y3" tptp.real)) % 0.25/0.51 (define @t134 () (lambda (@list @t133 @t132) (= @t133 @t132))) % 0.25/0.51 (define @t135 () (@var "X3" tptp.nat)) % 0.25/0.51 (define @t136 () (@var "Y4" tptp.nat)) % 0.25/0.51 (define @t137 () (@var "Z" tptp.nat)) % 0.25/0.51 (define @t138 () (@var "Y3" tptp.nat)) % 0.25/0.51 (define @t139 () (lambda (@list @t138 @t137) (= @t138 @t137))) % 0.25/0.51 (define @t140 () (= @t72 @t73)) % 0.25/0.51 (define @t141 () (_ @t84 @t73)) % 0.25/0.51 (define @t142 () (@list @t72 @t73)) % 0.25/0.51 (define @t143 () (= @t78 @t79)) % 0.25/0.51 (define @t144 () (_ @t86 @t79)) % 0.25/0.51 (define @t145 () (@list @t78 @t79)) % 0.25/0.51 (define @t146 () (not @t141)) % 0.25/0.51 (define @t147 () (not @t144)) % 0.25/0.51 (define @t148 () (_ @t89 @t34)) % 0.25/0.51 (define @t149 () (=> @t95 @t148)) % 0.25/0.51 (define @t150 () (_ @t110 @t39)) % 0.25/0.51 (define @t151 () (=> @t105 @t150)) % 0.25/0.51 (define @t152 () (@var "Z2" tptp.real)) % 0.25/0.51 (define @t153 () (_ tptp.ord_less_eq_real @t152)) % 0.25/0.51 (define @t154 () (_ @t153 @t72)) % 0.25/0.51 (define @t155 () (_ @t75 @t152)) % 0.25/0.51 (define @t156 () (_ @t153 @t73)) % 0.25/0.51 (define @t157 () (_ @t84 @t152)) % 0.25/0.51 (define @t158 () (@list @t72 @t73 @t152)) % 0.25/0.51 (define @t159 () (@var "Z2" tptp.nat)) % 0.25/0.51 (define @t160 () (_ tptp.ord_less_eq_nat @t159)) % 0.25/0.51 (define @t161 () (_ @t160 @t78)) % 0.25/0.51 (define @t162 () (_ @t81 @t159)) % 0.25/0.51 (define @t163 () (_ @t160 @t79)) % 0.25/0.51 (define @t164 () (_ @t86 @t159)) % 0.25/0.51 (define @t165 () (@list @t78 @t79 @t159)) % 0.25/0.51 (define @t166 () (_ (_ tptp.ord_less_eq_real @t45) @t44)) % 0.25/0.51 (define @t167 () (_ (_ tptp.ord_less_eq_real @t44) @t45)) % 0.25/0.51 (define @t168 () (_ (_ tptp.ord_less_eq_nat @t48) @t47)) % 0.25/0.51 (define @t169 () (_ (_ tptp.ord_less_eq_nat @t47) @t48)) % 0.25/0.51 (define @t170 () (= @t20 @t26)) % 0.25/0.51 (define @t171 () (= @t23 @t29)) % 0.25/0.51 (define @t172 () (= @t26 @t34)) % 0.25/0.51 (define @t173 () (= @t29 @t39)) % 0.25/0.51 (define @t174 () (@var "P3" (-> tptp.real tptp.real Bool))) % 0.25/0.51 (define @t175 () (@var "B3" tptp.real)) % 0.25/0.51 (define @t176 () (@var "A3" tptp.real)) % 0.25/0.51 (define @t177 () (_ (_ @t174 @t176) @t175)) % 0.25/0.51 (define @t178 () (@list @t176 @t175)) % 0.25/0.51 (define @t179 () (@var "P3" (-> tptp.nat tptp.nat Bool))) % 0.25/0.51 (define @t180 () (@var "B3" tptp.nat)) % 0.25/0.51 (define @t181 () (@var "A3" tptp.nat)) % 0.25/0.51 (define @t182 () (_ (_ @t179 @t181) @t180)) % 0.25/0.51 (define @t183 () (@list @t181 @t180)) % 0.25/0.51 (define @t184 () (_ @t60 @t26)) % 0.25/0.51 (define @t185 () (_ @t66 @t29)) % 0.25/0.51 (define @t186 () (@list @t26 @t20)) % 0.25/0.51 (define @t187 () (@list @t29 @t23)) % 0.25/0.51 (define @t188 () (_ @t60 @t27)) % 0.25/0.51 (define @t189 () (@list @t34 @t26 @t20)) % 0.25/0.51 (define @t190 () (_ @t66 @t30)) % 0.25/0.51 (define @t191 () (@list @t39 @t29 @t23)) % 0.25/0.51 (define @t192 () (@list @t34 @t20 @t26)) % 0.25/0.51 (define @t193 () (@list @t39 @t23 @t29)) % 0.25/0.51 (define @t194 () (_ (_ tptp.ord_max_real @t44) @t45)) % 0.25/0.51 (define @t195 () (@list @t45 @t44)) % 0.25/0.51 (define @t196 () (_ (_ tptp.ord_max_nat @t47) @t48)) % 0.25/0.51 (define @t197 () (@list @t48 @t47)) % 0.25/0.51 (define @t198 () (= @t20 @t27)) % 0.25/0.51 (define @t199 () (= @t23 @t30)) % 0.25/0.51 (define @t200 () (@var "D" tptp.real)) % 0.25/0.51 (define @t201 () (_ tptp.ord_less_eq_real @t200)) % 0.25/0.51 (define @t202 () (@var "D" tptp.nat)) % 0.25/0.51 (define @t203 () (_ tptp.minus_minus_real @t20)) % 0.25/0.51 (define @t204 () (_ @t203 @t26)) % 0.25/0.51 (define @t205 () (_ tptp.plus_plus_real @t26)) % 0.25/0.51 (define @t206 () (_ tptp.minus_minus_nat @t23)) % 0.25/0.51 (define @t207 () (_ @t206 @t29)) % 0.25/0.51 (define @t208 () (_ tptp.plus_plus_nat @t29)) % 0.25/0.51 (define @t209 () (_ tptp.plus_plus_real @t204)) % 0.25/0.51 (define @t210 () (= (_ @t209 @t26) @t20)) % 0.25/0.51 (define @t211 () (_ tptp.abs_abs_real @t26)) % 0.25/0.51 (define @t212 () (_ tptp.abs_abs_real @t20)) % 0.25/0.51 (define @t213 () (_ (_ tptp.plus_plus_real @t212) @t211)) % 0.25/0.51 (define @t214 () (_ tptp.plus_plus_real @t20)) % 0.25/0.51 (define @t215 () (_ @t214 @t26)) % 0.25/0.51 (define @t216 () (_ tptp.minus_minus_real @t215)) % 0.25/0.51 (define @t217 () (_ tptp.plus_plus_real @t34)) % 0.25/0.51 (define @t218 () (_ @t217 @t26)) % 0.25/0.51 (define @t219 () (_ @t217 @t20)) % 0.25/0.51 (define @t220 () (_ tptp.plus_plus_nat @t39)) % 0.25/0.51 (define @t221 () (_ @t220 @t29)) % 0.25/0.51 (define @t222 () (_ @t220 @t23)) % 0.25/0.51 (define @t223 () (_ tptp.minus_minus_nat @t222)) % 0.25/0.51 (define @t224 () (_ tptp.plus_plus_nat @t23)) % 0.25/0.51 (define @t225 () (_ @t224 @t29)) % 0.25/0.51 (define @t226 () (_ tptp.minus_minus_nat @t225)) % 0.25/0.51 (define @t227 () (_ @t205 @t34)) % 0.25/0.51 (define @t228 () (_ @t214 @t34)) % 0.25/0.51 (define @t229 () (_ tptp.minus_minus_real @t228)) % 0.25/0.51 (define @t230 () (@list @t20 @t34 @t26)) % 0.25/0.51 (define @t231 () (_ @t208 @t39)) % 0.25/0.51 (define @t232 () (_ @t224 @t39)) % 0.25/0.51 (define @t233 () (@list @t23 @t39 @t29)) % 0.25/0.51 (define @t234 () (_ @t208 @t23)) % 0.25/0.51 (define @t235 () (= @t234 @t222)) % 0.25/0.51 (define @t236 () (_ @t205 @t20)) % 0.25/0.51 (define @t237 () (= @t236 @t219)) % 0.25/0.51 (define @t238 () (= @t225 @t232)) % 0.25/0.51 (define @t239 () (= @t215 @t228)) % 0.25/0.51 (define @t240 () (_ tptp.ord_less_eq_real @t228)) % 0.25/0.51 (define @t241 () (_ @t240 @t227)) % 0.25/0.51 (define @t242 () (_ tptp.ord_less_eq_nat @t232)) % 0.25/0.51 (define @t243 () (_ @t242 @t231)) % 0.25/0.51 (define @t244 () (_ (_ tptp.ord_less_eq_real @t219) @t218)) % 0.25/0.51 (define @t245 () (_ tptp.ord_less_eq_nat @t222)) % 0.25/0.51 (define @t246 () (_ @t245 @t221)) % 0.25/0.51 (define @t247 () (_ @t224 @t231)) % 0.25/0.51 (define @t248 () (_ @t214 @t227)) % 0.25/0.51 (define @t249 () (@var "K" tptp.nat)) % 0.25/0.51 (define @t250 () (_ tptp.plus_plus_nat @t249)) % 0.25/0.51 (define @t251 () (_ @t250 @t225)) % 0.25/0.51 (define @t252 () (@var "B4" tptp.nat)) % 0.25/0.51 (define @t253 () (@var "K" tptp.real)) % 0.25/0.51 (define @t254 () (_ tptp.plus_plus_real @t253)) % 0.25/0.51 (define @t255 () (_ @t254 @t215)) % 0.25/0.51 (define @t256 () (@var "B4" tptp.real)) % 0.25/0.51 (define @t257 () (@var "A4" tptp.nat)) % 0.25/0.51 (define @t258 () (@var "A4" tptp.real)) % 0.25/0.51 (define @t259 () (= @t258 (_ @t254 @t20))) % 0.25/0.51 (define @t260 () (@list @t258 @t253 @t20 @t26)) % 0.25/0.51 (define @t261 () (@var "L" tptp.nat)) % 0.25/0.51 (define @t262 () (@var "J" tptp.nat)) % 0.25/0.51 (define @t263 () (_ tptp.plus_plus_nat @t262)) % 0.25/0.51 (define @t264 () (_ @t263 @t261)) % 0.25/0.51 (define @t265 () (_ @t53 @t249)) % 0.25/0.51 (define @t266 () (= @t249 @t261)) % 0.25/0.51 (define @t267 () (= @t52 @t262)) % 0.25/0.51 (define @t268 () (@list @t52 @t262 @t249 @t261)) % 0.25/0.51 (define @t269 () (@var "L" tptp.real)) % 0.25/0.51 (define @t270 () (@var "J" tptp.real)) % 0.25/0.51 (define @t271 () (_ tptp.plus_plus_real @t270)) % 0.25/0.51 (define @t272 () (_ @t271 @t269)) % 0.25/0.51 (define @t273 () (@var "I" tptp.real)) % 0.25/0.51 (define @t274 () (_ (_ tptp.plus_plus_real @t273) @t253)) % 0.25/0.51 (define @t275 () (= @t253 @t269)) % 0.25/0.51 (define @t276 () (= @t273 @t270)) % 0.25/0.51 (define @t277 () (@list @t273 @t270 @t253 @t269)) % 0.25/0.51 (define @t278 () (_ (_ tptp.minus_minus_real @t204) @t34)) % 0.25/0.51 (define @t279 () (_ @t203 @t34)) % 0.25/0.51 (define @t280 () (_ (_ tptp.minus_minus_real @t279) @t26)) % 0.25/0.51 (define @t281 () (_ (_ tptp.minus_minus_nat @t207) @t39)) % 0.25/0.51 (define @t282 () (_ tptp.minus_minus_real @t34)) % 0.25/0.51 (define @t283 () (= @t204 (_ @t282 @t200))) % 0.25/0.51 (define @t284 () (@list @t20 @t26 @t34 @t200)) % 0.25/0.51 (define @t285 () (@var "C2" tptp.nat)) % 0.25/0.51 (define @t286 () (@var "C3" tptp.nat)) % 0.25/0.51 (define @t287 () (_ @t60 @t200)) % 0.25/0.51 (define @t288 () (_ tptp.ord_less_eq_real @t274)) % 0.25/0.51 (define @t289 () (_ @t288 @t272)) % 0.25/0.51 (define @t290 () (_ (_ tptp.ord_less_eq_real @t253) @t269)) % 0.25/0.51 (define @t291 () (_ tptp.ord_less_eq_real @t273)) % 0.25/0.51 (define @t292 () (_ @t291 @t270)) % 0.25/0.51 (define @t293 () (_ tptp.ord_less_eq_nat @t265)) % 0.25/0.51 (define @t294 () (_ @t293 @t264)) % 0.25/0.51 (define @t295 () (_ tptp.ord_less_eq_nat @t249)) % 0.25/0.51 (define @t296 () (_ @t295 @t261)) % 0.25/0.51 (define @t297 () (_ tptp.ord_less_eq_nat @t52)) % 0.25/0.51 (define @t298 () (_ @t297 @t262)) % 0.25/0.51 (define @t299 () (_ tptp.minus_minus_real @t26)) % 0.25/0.51 (define @t300 () (_ @t299 @t34)) % 0.25/0.51 (define @t301 () (_ tptp.ord_less_eq_real @t279)) % 0.25/0.51 (define @t302 () (_ @t282 @t26)) % 0.25/0.51 (define @t303 () (_ @t299 @t200)) % 0.25/0.51 (define @t304 () (_ @t203 @t227)) % 0.25/0.51 (define @t305 () (_ @t229 @t26)) % 0.25/0.51 (define @t306 () (_ tptp.ord_less_eq_real @t212)) % 0.25/0.51 (define @t307 () (_ tptp.abs_abs_real (_ @t299 @t20))) % 0.25/0.51 (define @t308 () (_ tptp.abs_abs_real @t204)) % 0.25/0.51 (define @t309 () (_ tptp.plus_plus_real @t72)) % 0.25/0.51 (define @t310 () (_ @t309 @t152)) % 0.25/0.51 (define @t311 () (_ tptp.plus_plus_nat @t78)) % 0.25/0.51 (define @t312 () (_ @t311 @t159)) % 0.25/0.51 (define @t313 () (_ @t311 @t79)) % 0.25/0.51 (define @t314 () (_ (_ tptp.minus_minus_real @t73) @t152)) % 0.25/0.51 (define @t315 () (_ tptp.minus_minus_real @t72)) % 0.25/0.51 (define @t316 () (_ (_ tptp.minus_minus_nat @t29) @t23)) % 0.25/0.51 (define @t317 () (_ tptp.minus_minus_nat @t39)) % 0.25/0.51 (define @t318 () (_ tptp.plus_plus_nat @t316)) % 0.25/0.51 (define @t319 () (_ @t318 @t39)) % 0.25/0.51 (define @t320 () (_ (_ tptp.minus_minus_nat @t231) @t23)) % 0.25/0.51 (define @t321 () (_ @t220 @t316)) % 0.25/0.51 (define @t322 () (_ (_ tptp.minus_minus_nat @t221) @t23)) % 0.25/0.51 (define @t323 () (@var "N" tptp.real)) % 0.25/0.51 (define @t324 () (_ (_ tptp.minus_minus_real @t323) @t253)) % 0.25/0.51 (define @t325 () (_ (_ tptp.ord_less_eq_real @t323) (_ @t271 @t253))) % 0.25/0.51 (define @t326 () (_ @t288 @t323)) % 0.25/0.51 (define @t327 () (@var "N" tptp.nat)) % 0.25/0.51 (define @t328 () (_ tptp.minus_minus_nat @t327)) % 0.25/0.51 (define @t329 () (_ @t328 @t249)) % 0.25/0.51 (define @t330 () (_ @t263 @t249)) % 0.25/0.51 (define @t331 () (_ tptp.ord_less_eq_nat @t327)) % 0.25/0.51 (define @t332 () (_ @t331 @t330)) % 0.25/0.51 (define @t333 () (_ @t293 @t327)) % 0.25/0.51 (define @t334 () (_ tptp.ord_less_eq_real @t215)) % 0.25/0.51 (define @t335 () (_ (_ tptp.minus_minus_real @t212) @t211)) % 0.25/0.51 (define @t336 () (_ tptp.ord_less_eq_real @t335)) % 0.25/0.51 (define @t337 () (@var "R" tptp.real)) % 0.25/0.51 (define @t338 () (@var "I3" tptp.nat)) % 0.25/0.51 (define @t339 () (_ tptp.genClo1163638703lle_te @t2)) % 0.25/0.51 (define @t340 () (_ @t339 @t338)) % 0.25/0.51 (define @t341 () (_ (_ tptp.minus_minus_real @t5) @t340)) % 0.25/0.51 (define @t342 () (_ tptp.ord_less_eq_real tptp.genClo1651033342e_rmin)) % 0.25/0.51 (define @t343 () (_ (_ tptp.plus_plus_nat @t338) tptp.one_one_nat)) % 0.25/0.51 (define @t344 () (_ @t339 @t343)) % 0.25/0.51 (define @t345 () (@list @t2 @t5 @t338)) % 0.25/0.51 (define @t346 () (_ tptp.minus_minus_real @t56)) % 0.25/0.51 (define @t347 () (_ @t346 @t57)) % 0.25/0.51 (define @t348 () (@var "V" tptp.real)) % 0.25/0.51 (define @t349 () (@var "U" tptp.real)) % 0.25/0.51 (define @t350 () (@var "Q2" tptp.nat)) % 0.25/0.51 (define @t351 () (_ (_ tptp.genClo1163638703lle_te @t350) @t52)) % 0.25/0.51 (define @t352 () (_ @t346 @t351)) % 0.25/0.51 (define @t353 () (_ tptp.genClo1015804716orrect @t350)) % 0.25/0.51 (define @t354 () (@list @t54 @t52 @t350)) % 0.25/0.51 (define @t355 () (@var "Q3" tptp.nat)) % 0.25/0.51 (define @t356 () (_ (_ tptp.genClo1163638703lle_te @t355) @t338)) % 0.25/0.51 (define @t357 () (_ tptp.genClo1015804716orrect @t355)) % 0.25/0.51 (define @t358 () (@list @t2 @t355 @t338)) % 0.25/0.51 (define @t359 () (@var "M" tptp.nat)) % 0.25/0.51 (define @t360 () (_ (_ tptp.ord_less_eq_nat @t359) @t327)) % 0.25/0.51 (define @t361 () (_ @t250 @t327)) % 0.25/0.51 (define @t362 () (_ @t250 @t359)) % 0.25/0.51 (define @t363 () (@list @t249 @t359 @t327)) % 0.25/0.51 (define @t364 () (_ tptp.minus_minus_nat @t52)) % 0.25/0.51 (define @t365 () (_ (_ tptp.minus_minus_nat (_ @t364 @t262)) @t249)) % 0.25/0.51 (define @t366 () (@list @t52 @t262 @t249)) % 0.25/0.51 (define @t367 () (_ tptp.minus_minus_nat @t262)) % 0.25/0.51 (define @t368 () (_ @t367 @t249)) % 0.25/0.51 (define @t369 () (_ @t295 @t262)) % 0.25/0.51 (define @t370 () (@list @t249 @t262 @t52)) % 0.25/0.51 (define @t371 () (_ (_ tptp.minus_minus_nat (_ @t263 @t52)) @t249)) % 0.25/0.51 (define @t372 () (_ (_ tptp.plus_plus_nat @t368) @t52)) % 0.25/0.51 (define @t373 () (_ (_ tptp.minus_minus_nat (_ @t53 @t262)) @t249)) % 0.25/0.51 (define @t374 () (_ @t53 @t368)) % 0.25/0.51 (define @t375 () (@var "Y5" tptp.nat)) % 0.25/0.51 (define @t376 () (@var "P3" (-> tptp.nat Bool))) % 0.25/0.51 (define @t377 () (_ @t331 @t359)) % 0.25/0.51 (define @t378 () (@list @t359 @t327)) % 0.25/0.51 (define @t379 () (_ tptp.minus_minus_nat @t261)) % 0.25/0.51 (define @t380 () (@list @t359 @t327 @t261)) % 0.25/0.51 (define @t381 () (_ tptp.minus_minus_nat @t359)) % 0.25/0.51 (define @t382 () (_ @t381 @t327)) % 0.25/0.51 (define @t383 () (_ @t381 @t249)) % 0.25/0.51 (define @t384 () (_ @t295 @t327)) % 0.25/0.51 (define @t385 () (_ @t295 @t359)) % 0.25/0.51 (define @t386 () (= @t359 @t327)) % 0.25/0.51 (define @t387 () (_ tptp.ord_less_eq_nat @t262)) % 0.25/0.51 (define @t388 () (@list @t327)) % 0.25/0.51 (define @t389 () (_ tptp.ord_max_nat @t327)) % 0.25/0.51 (define @t390 () (@list @t327 @t359)) % 0.25/0.51 (define @t391 () (_ tptp.plus_plus_nat @t359)) % 0.25/0.51 (define @t392 () (_ @t391 @t327)) % 0.25/0.51 (define @t393 () (_ tptp.plus_plus_nat @t327)) % 0.25/0.51 (define @t394 () (_ @t393 @t359)) % 0.25/0.51 (define @t395 () (_ @t391 @t249)) % 0.25/0.51 (define @t396 () (@list @t359 @t249 @t327)) % 0.25/0.51 (define @t397 () (_ @t391 @t350)) % 0.25/0.51 (define @t398 () (@list @t359 @t327 @t350)) % 0.25/0.51 (define @t399 () (@var "K2" tptp.nat)) % 0.25/0.51 (define @t400 () (@var "M2" tptp.nat)) % 0.25/0.51 (define @t401 () (@var "N2" tptp.nat)) % 0.25/0.51 (define @t402 () (@list @t52 @t262 @t359)) % 0.25/0.51 (define @t403 () (@var "N3" tptp.nat)) % 0.25/0.51 (define @t404 () (_ (_ tptp.ord_less_eq_nat @t395) @t327)) % 0.25/0.51 (define @t405 () (_ tptp.ord_less_eq_real tptp.zero_zero_real)) % 0.25/0.51 (define @t406 () (and (= @t78 tptp.zero_zero_nat) (= @t79 tptp.zero_zero_nat))) % 0.25/0.51 (define @t407 () (= @t29 tptp.zero_zero_nat)) % 0.25/0.51 (define @t408 () (= @t26 tptp.zero_zero_real)) % 0.25/0.51 (define @t409 () (= @t20 tptp.zero_zero_real)) % 0.25/0.51 (define @t410 () (_ @t214 @t20)) % 0.25/0.51 (define @t411 () (_ @t89 tptp.zero_zero_real)) % 0.25/0.51 (define @t412 () (_ @t110 tptp.zero_zero_nat)) % 0.25/0.51 (define @t413 () (_ tptp.ord_less_eq_nat @t225)) % 0.25/0.51 (define @t414 () (_ @t405 @t26)) % 0.25/0.51 (define @t415 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.25/0.51 (define @t416 () (_ @t415 @t29)) % 0.25/0.51 (define @t417 () (_ @t405 @t20)) % 0.25/0.51 (define @t418 () (_ @t240 @t26)) % 0.25/0.51 (define @t419 () (_ @t242 @t29)) % 0.25/0.51 (define @t420 () (_ @t62 @t228)) % 0.25/0.51 (define @t421 () (_ @t68 @t232)) % 0.25/0.51 (define @t422 () (_ @t415 @t23)) % 0.25/0.51 (define @t423 () (@var "P3" Bool)) % 0.25/0.51 (define @t424 () (_ @t14 @t18)) % 0.25/0.51 (define @t425 () (not @t424)) % 0.25/0.51 (define @t426 () (lambda @t46 (= @t194 @t45))) % 0.25/0.51 (define @t427 () (lambda @t49 (= @t196 @t48))) % 0.25/0.51 (define @t428 () (@var "I2" tptp.nat)) % 0.25/0.51 (define @t429 () (@var "Q" tptp.nat)) % 0.25/0.51 (define @t430 () (@var "P4" tptp.nat)) % 0.25/0.51 (define @t431 () (_ (_ tptp.ord_max_real (_ (_ tptp.genClo1163638703lle_te @t430) @t428)) (_ (_ tptp.genClo1163638703lle_te @t429) @t428))) % 0.25/0.51 (define @t432 () (lambda (@list @t428 @t130) (forall (@list @t430 @t429) (=> (and (_ (_ tptp.genClo1015804716orrect @t430) @t431) (_ (_ tptp.genClo1015804716orrect @t429) @t431)) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ (_ (_ tptp.genClo1160817912lle_IC @t430) @t428) @t431)) (_ (_ (_ tptp.genClo1160817912lle_IC @t429) @t428) @t431)))) @t130))))) % 0.25/0.51 (define @t433 () (@var "G" (-> tptp.nat tptp.real))) % 0.25/0.51 (define @t434 () (@var "F2" (-> tptp.nat tptp.real))) % 0.25/0.51 (define @t435 () (@var "Ppred" (-> tptp.nat Bool))) % 0.25/0.51 (define @t436 () (lambda (@list @t434 @t433 @t130 @t435) (forall (@list @t430) (=> (_ @t435 @t430) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t434 @t430)) (_ @t433 @t430)))) @t130))))) % 0.25/0.51 (define @t437 () (@var "L2" tptp.nat)) % 0.25/0.51 (define @t438 () (lambda (@list @t434 @t130 @t435) (forall (@list @t437 @t400) (=> (and (_ @t435 @t437) (_ @t435 @t400)) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t434 @t437)) (_ @t434 @t400)))) @t130))))) % 0.25/0.51 (define @t439 () (tptp.genClo1015804716orrect @t2 @t1)) % 0.25/0.51 (define @t440 () (tptp.genClo1015804716orrect @t2 @t5)) % 0.25/0.51 (define @t441 () (not @t6)) % 0.25/0.51 (define @t442 () (tptp.ord_max_real @t1 @t5)) % 0.25/0.51 (define @t443 () (_ tptp.ord_max_real @t1)) % 0.25/0.51 (define @t444 () (_ @t443 @t5)) % 0.25/0.51 (define @t445 () (= @t5 @t444)) % 0.25/0.51 (define @t446 () (not @t445)) % 0.25/0.51 (define @t447 () (or @t446 @t441 @t4)) % 0.25/0.51 (define @t448 () (and @t445 @t6)) % 0.25/0.51 (define @t449 () (@list @t45)) % 0.25/0.51 (define @t450 () (lambda @t449 (= @t45 (_ @t443 @t45)))) % 0.25/0.51 (define @t451 () (lambda @t46 (= @t45 @t194))) % 0.25/0.51 (define @t452 () (_ @t451 @t1)) % 0.25/0.51 (define @t453 () (and (_ @t452 @t5) @t6)) % 0.25/0.51 (define @t454 () (=> @t453 @t4)) % 0.25/0.51 (define @t455 () (tptp.plus_plus_nat tptp.i tptp.one_one_nat)) % 0.25/0.51 (define @t456 () (tptp.genClo1163638703lle_te tptp.p @t455)) % 0.25/0.51 (define @t457 () (tptp.genClo1015804716orrect tptp.m @t456)) % 0.25/0.51 (define @t458 () (tptp.genClo1163638703lle_te tptp.m tptp.i)) % 0.25/0.51 (define @t459 () (tptp.genClo1163638703lle_te tptp.l tptp.i)) % 0.25/0.51 (define @t460 () (tptp.ord_max_real @t459 @t458)) % 0.25/0.51 (define @t461 () (tptp.ord_max_real @t460 @t456)) % 0.25/0.51 (define @t462 () (_ tptp.ord_max_real @t18)) % 0.25/0.51 (define @t463 () (_ @t462 @t13)) % 0.25/0.51 (define @t464 () (= @t13 @t463)) % 0.25/0.51 (define @t465 () (lambda @t449 (= @t45 (_ @t462 @t45)))) % 0.25/0.51 (define @t466 () (tptp.genClo1015804716orrect tptp.m @t461)) % 0.25/0.51 (define @t467 () (tptp.genClo1015804716orrect tptp.m @t460)) % 0.25/0.51 (define @t468 () (not @t466)) % 0.25/0.51 (define @t469 () (= @t461 (tptp.ord_max_real @t460 @t461))) % 0.25/0.51 (define @t470 () (not @t469)) % 0.25/0.51 (define @t471 () (or @t470 @t468 @t467)) % 0.25/0.51 (define @t472 () (not @t471)) % 0.25/0.51 (define @t473 () (forall @t9 (or (not (= @t5 @t442)) (not @t440) @t439))) % 0.25/0.51 (assume @p1 @t10) % 0.25/0.51 (assume @p2 @t15) % 0.25/0.51 (assume @p3 (_ (_ tptp.genClo1015804716orrect tptp.p) @t13)) % 0.25/0.51 (assume @p4 (_ (_ tptp.ord_less_eq_real @t18) @t13)) % 0.25/0.51 (assume @p5 (_ @t19 @t13)) % 0.25/0.51 (assume @p6 (_ @t19 @t18)) % 0.25/0.51 (assume @p7 (_ (_ tptp.ord_less_eq_real @t16) @t13)) % 0.25/0.51 (assume @p8 (_ (_ tptp.ord_less_eq_real @t17) @t13)) % 0.25/0.51 (assume @p9 (forall @t22 (= (_ @t21 @t20) @t20))) % 0.25/0.51 (assume @p10 (forall @t25 (= (_ @t24 @t23) @t23))) % 0.25/0.51 (assume @p11 (forall @t28 (= (_ @t21 @t27) @t27))) % 0.25/0.51 (assume @p12 (forall @t31 (= (_ @t24 @t30) @t30))) % 0.25/0.51 (assume @p13 (forall @t28 (= (_ @t32 @t26) @t27))) % 0.25/0.51 (assume @p14 (forall @t31 (= (_ @t33 @t29) @t30))) % 0.25/0.51 (assume @p15 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ (_ (_ tptp.genClo1160817912lle_IC tptp.l) tptp.i) @t18)) (_ (_ (_ tptp.genClo1160817912lle_IC tptp.m) tptp.i) @t18)))) tptp.delta_S)) % 0.25/0.51 (assume @p16 (forall @t38 (= (_ @t32 @t34) @t37))) % 0.25/0.51 (assume @p17 (forall @t43 (= (_ @t33 @t39) @t42))) % 0.25/0.51 (assume @p18 (= tptp.ord_max_real (lambda @t46 (_ (_ tptp.ord_max_real @t45) @t44)))) % 0.25/0.51 (assume @p19 (= tptp.ord_max_nat (lambda @t49 (_ (_ tptp.ord_max_nat @t48) @t47)))) % 0.25/0.51 (assume @p20 (forall @t50 (= (_ @t35 (_ @t21 @t34)) @t37))) % 0.25/0.51 (assume @p21 (forall @t51 (= (_ @t40 (_ @t24 @t39)) @t42))) % 0.25/0.51 (assume @p22 (forall @t59 (=> @t58 (_ (_ tptp.ord_less_eq_real @t57) @t56)))) % 0.25/0.51 (assume @p23 (forall @t65 (= @t64 (and @t63 @t61)))) % 0.25/0.51 (assume @p24 (forall @t71 (= @t70 (and @t69 @t67)))) % 0.25/0.51 (assume @p25 (forall @t77 (=> @t76 (= @t74 @t72)))) % 0.25/0.51 (assume @p26 (forall @t83 (=> @t82 (= @t80 @t78)))) % 0.25/0.51 (assume @p27 (forall @t85 (_ @t84 @t72))) % 0.25/0.51 (assume @p28 (forall @t87 (_ @t86 @t78))) % 0.25/0.51 (assume @p29 (forall @t98 (=> (_ @t89 @t97) @t96))) % 0.25/0.51 (assume @p30 (forall @t108 (=> (_ @t89 @t107) @t106))) % 0.25/0.51 (assume @p31 (forall @t114 (=> (_ @t110 @t113) @t112))) % 0.25/0.51 (assume @p32 (forall @t119 (=> (_ @t110 @t118) @t117))) % 0.25/0.51 (assume @p33 (forall @t122 (=> @t121 (=> (_ (_ tptp.ord_less_eq_real @t97) @t34) @t120)))) % 0.25/0.51 (assume @p34 (forall @t124 (=> @t121 (=> (_ (_ tptp.ord_less_eq_nat @t113) @t39) @t123)))) % 0.25/0.51 (assume @p35 (forall @t127 (=> @t126 (=> (_ (_ tptp.ord_less_eq_real @t107) @t34) @t125)))) % 0.25/0.51 (assume @p36 (forall @t129 (=> @t126 (=> (_ (_ tptp.ord_less_eq_nat @t118) @t39) @t128)))) % 0.25/0.51 (assume @p37 (forall @t98 (=> (= @t20 @t97) @t96))) % 0.25/0.51 (assume @p38 (forall @t114 (=> (= @t23 @t113) @t112))) % 0.25/0.51 (assume @p39 (forall @t108 (=> (= @t20 @t107) @t106))) % 0.25/0.51 (assume @p40 (forall @t119 (=> (= @t23 @t118) @t117))) % 0.25/0.51 (assume @p41 (forall @t122 (=> @t121 (=> (= @t97 @t34) @t120)))) % 0.25/0.51 (assume @p42 (forall @t124 (=> @t121 (=> (= @t113 @t39) @t123)))) % 0.25/0.51 (assume @p43 (forall @t127 (=> @t126 (=> (= @t107 @t34) @t125)))) % 0.25/0.51 (assume @p44 (forall @t129 (=> @t126 (=> (= @t118 @t39) @t128)))) % 0.25/0.51 (assume @p45 (= @t134 (lambda (@list @t130 @t131) (and (_ (_ tptp.ord_less_eq_real @t130) @t131) (_ (_ tptp.ord_less_eq_real @t131) @t130))))) % 0.25/0.51 (assume @p46 (= @t139 (lambda (@list @t135 @t136) (and (_ (_ tptp.ord_less_eq_nat @t135) @t136) (_ (_ tptp.ord_less_eq_nat @t136) @t135))))) % 0.25/0.51 (assume @p47 (forall @t142 (=> @t141 (=> @t76 @t140)))) % 0.25/0.51 (assume @p48 (forall @t145 (=> @t144 (=> @t82 @t143)))) % 0.25/0.51 (assume @p49 (forall @t142 (or @t141 @t76))) % 0.25/0.51 (assume @p50 (forall @t145 (or @t144 @t82))) % 0.25/0.51 (assume @p51 (forall @t142 (=> @t140 @t141))) % 0.25/0.51 (assume @p52 (forall @t145 (=> @t143 @t144))) % 0.25/0.51 (assume @p53 (forall @t142 (=> @t146 @t76))) % 0.25/0.51 (assume @p54 (forall @t145 (=> @t147 @t82))) % 0.25/0.51 (assume @p55 (forall @t38 (=> @t121 @t149))) % 0.25/0.51 (assume @p56 (forall @t43 (=> @t126 @t151))) % 0.25/0.51 (assume @p57 (forall @t158 (=> (=> @t141 (not @t155)) (=> (=> @t76 (not @t157)) (=> (=> @t157 (not @t156)) (=> (=> @t156 (not @t76)) (=> (=> @t155 (not @t154)) (not (=> @t154 @t146))))))))) % 0.25/0.51 (assume @p58 (forall @t165 (=> (=> @t144 (not @t162)) (=> (=> @t82 (not @t164)) (=> (=> @t164 (not @t163)) (=> (=> @t163 (not @t82)) (=> (=> @t162 (not @t161)) (not (=> @t161 @t147))))))))) % 0.25/0.51 (assume @p59 (forall @t77 (=> @t76 (= @t141 @t140)))) % 0.25/0.51 (assume @p60 (forall @t83 (=> @t82 (= @t144 @t143)))) % 0.25/0.51 (assume @p61 (= @t134 (lambda @t46 (and @t167 @t166)))) % 0.25/0.51 (assume @p62 (= @t139 (lambda @t49 (and @t169 @t168)))) % 0.25/0.51 (assume @p63 (forall @t38 (=> @t170 @t149))) % 0.25/0.51 (assume @p64 (forall @t43 (=> @t171 @t151))) % 0.25/0.51 (assume @p65 (forall @t38 (=> @t121 (=> @t172 @t148)))) % 0.25/0.51 (assume @p66 (forall @t43 (=> @t126 (=> @t173 @t150)))) % 0.25/0.51 (assume @p67 (forall @t28 (=> @t121 (=> @t63 @t170)))) % 0.25/0.51 (assume @p68 (forall @t31 (=> @t126 (=> @t69 @t171)))) % 0.25/0.51 (assume @p69 (forall @t158 (=> @t141 (=> @t155 @t157)))) % 0.25/0.51 (assume @p70 (forall @t165 (=> @t144 (=> @t162 @t164)))) % 0.25/0.51 (assume @p71 (forall @t22 (_ @t89 @t20))) % 0.25/0.51 (assume @p72 (forall @t25 (_ @t110 @t23))) % 0.25/0.51 (assume @p73 (forall (@list @t174 @t20 @t26) (=> (forall @t178 (=> (_ (_ tptp.ord_less_eq_real @t176) @t175) @t177)) (=> (forall @t178 (=> (_ (_ @t174 @t175) @t176) @t177)) (_ (_ @t174 @t20) @t26))))) % 0.25/0.51 (assume @p74 (forall (@list @t179 @t23 @t29) (=> (forall @t183 (=> (_ (_ tptp.ord_less_eq_nat @t181) @t180) @t182)) (=> (forall @t183 (=> (_ (_ @t179 @t180) @t181) @t182)) (_ (_ @t179 @t23) @t29))))) % 0.25/0.51 (assume @p75 (forall @t50 (=> @t63 (=> @t184 @t61)))) % 0.25/0.51 (assume @p76 (forall @t51 (=> @t69 (=> @t185 @t67)))) % 0.25/0.51 (assume @p77 (= @t134 (lambda @t46 (and @t166 @t167)))) % 0.25/0.51 (assume @p78 (= @t139 (lambda @t49 (and @t168 @t169)))) % 0.25/0.51 (assume @p79 (forall @t186 (=> @t63 (=> @t121 @t170)))) % 0.25/0.51 (assume @p80 (forall @t187 (=> @t69 (=> @t126 @t171)))) % 0.25/0.51 (assume @p81 (forall @t189 (=> @t184 @t188))) % 0.25/0.51 (assume @p82 (forall @t191 (=> @t185 @t190))) % 0.25/0.51 (assume @p83 (forall @t192 (=> @t61 @t188))) % 0.25/0.51 (assume @p84 (forall @t193 (=> @t67 @t190))) % 0.25/0.51 (assume @p85 (= tptp.ord_less_eq_real (lambda @t195 (= @t194 @t44)))) % 0.25/0.51 (assume @p86 (= tptp.ord_less_eq_nat (lambda @t197 (= @t196 @t47)))) % 0.25/0.51 (assume @p87 (forall (@list @t152 @t72 @t73) (= (_ @t153 @t74) (or @t154 @t156)))) % 0.25/0.51 (assume @p88 (forall (@list @t159 @t78 @t79) (= (_ @t160 @t80) (or @t161 @t163)))) % 0.25/0.51 (assume @p89 (forall @t186 (_ @t62 @t27))) % 0.25/0.51 (assume @p90 (forall @t187 (_ @t68 @t30))) % 0.25/0.51 (assume @p91 (forall @t28 (_ @t89 @t27))) % 0.25/0.51 (assume @p92 (forall @t31 (_ @t110 @t30))) % 0.25/0.51 (assume @p93 (= tptp.ord_less_eq_real (lambda @t195 (= @t44 @t194)))) % 0.25/0.51 (assume @p94 (= tptp.ord_less_eq_nat (lambda @t197 (= @t47 @t196)))) % 0.25/0.51 (assume @p95 (forall @t50 (=> @t63 (=> @t61 @t64)))) % 0.25/0.51 (assume @p96 (forall @t51 (=> @t69 (=> @t67 @t70)))) % 0.25/0.51 (assume @p97 (forall @t65 (=> @t64 (not (=> @t63 (not @t61)))))) % 0.25/0.51 (assume @p98 (forall @t71 (=> @t70 (not (=> @t69 (not @t67)))))) % 0.25/0.51 (assume @p99 (forall @t28 (=> @t121 (= @t27 @t26)))) % 0.25/0.51 (assume @p100 (forall @t31 (=> @t126 (= @t30 @t29)))) % 0.25/0.51 (assume @p101 (forall @t186 (=> @t63 (= @t27 @t20)))) % 0.25/0.51 (assume @p102 (forall @t187 (=> @t69 (= @t30 @t23)))) % 0.25/0.51 (assume @p103 (forall @t28 (=> @t198 @t63))) % 0.25/0.51 (assume @p104 (forall @t31 (=> @t199 @t69))) % 0.25/0.51 (assume @p105 (forall @t186 (=> @t63 @t198))) % 0.25/0.51 (assume @p106 (forall @t187 (=> @t69 @t199))) % 0.25/0.51 (assume @p107 (forall (@list @t34 @t20 @t200 @t26) (=> @t61 (=> (_ @t201 @t26) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.ord_max_real @t34) @t200)) @t27))))) % 0.25/0.51 (assume @p108 (forall (@list @t39 @t23 @t202 @t29) (=> @t67 (=> (_ (_ tptp.ord_less_eq_nat @t202) @t29) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.ord_max_nat @t39) @t202)) @t30))))) % 0.25/0.51 (assume @p109 (= tptp.ord_max_real (lambda @t46 (_ (_ (_ tptp.if_real @t167) @t45) @t44)))) % 0.25/0.51 (assume @p110 (= tptp.ord_max_nat (lambda @t49 (_ (_ (_ tptp.if_nat @t169) @t48) @t47)))) % 0.25/0.51 (assume @p111 (forall @t142 (=> @t141 (= @t74 @t73)))) % 0.25/0.51 (assume @p112 (forall @t145 (=> @t144 (= @t80 @t79)))) % 0.25/0.51 (assume @p113 (forall @t186 (=> @t63 (= (_ @t205 @t204) @t20)))) % 0.25/0.51 (assume @p114 (forall @t187 (=> @t69 (= (_ @t208 @t207) @t23)))) % 0.25/0.51 (assume @p115 (forall @t186 (=> @t63 @t210))) % 0.25/0.51 (assume @p116 (forall @t187 (=> @t69 (= (_ (_ tptp.plus_plus_nat @t207) @t29) @t23)))) % 0.25/0.51 (assume @p117 (= (_ tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real)) % 0.25/0.51 (assume @p118 (forall @t28 (= (_ tptp.abs_abs_real @t213) @t213))) % 0.25/0.51 (assume @p119 (forall @t28 (= (_ @t216 @t26) @t20))) % 0.25/0.51 (assume @p120 (forall @t28 @t210)) % 0.25/0.51 (assume @p121 (forall @t192 (= (_ (_ tptp.minus_minus_real @t219) @t218) @t204))) % 0.25/0.51 (assume @p122 (forall @t193 (= (_ @t223 @t221) @t207))) % 0.25/0.51 (assume @p123 (forall @t28 (= (_ @t216 @t20) @t26))) % 0.25/0.51 (assume @p124 (forall @t31 (= (_ @t226 @t23) @t29))) % 0.25/0.51 (assume @p125 (forall @t230 (= (_ @t229 @t227) @t204))) % 0.25/0.51 (assume @p126 (forall @t233 (= (_ (_ tptp.minus_minus_nat @t232) @t231) @t207))) % 0.25/0.51 (assume @p127 (forall @t51 (= @t235 @t173))) % 0.25/0.51 (assume @p128 (forall @t50 (= @t237 @t172))) % 0.25/0.51 (assume @p129 (forall @t43 (= @t238 @t173))) % 0.25/0.51 (assume @p130 (forall @t38 (= @t239 @t172))) % 0.25/0.51 (assume @p131 (forall @t22 (= (_ tptp.abs_abs_real @t212) @t212))) % 0.25/0.51 (assume @p132 (forall @t230 (= @t241 @t121))) % 0.25/0.51 (assume @p133 (forall @t233 (= @t243 @t126))) % 0.25/0.51 (assume @p134 (forall @t192 (= @t244 @t121))) % 0.25/0.51 (assume @p135 (forall @t193 (= @t246 @t126))) % 0.25/0.51 (assume @p136 (forall @t31 (= (_ @t226 @t29) @t23))) % 0.25/0.51 (assume @p137 (forall @t51 (=> @t235 @t173))) % 0.25/0.51 (assume @p138 (forall @t50 (=> @t237 @t172))) % 0.25/0.51 (assume @p139 (forall @t43 (=> @t238 @t173))) % 0.25/0.51 (assume @p140 (forall @t38 (=> @t239 @t172))) % 0.25/0.51 (assume @p141 (forall @t51 (= (_ @t208 @t232) @t247))) % 0.25/0.51 (assume @p142 (forall @t50 (= (_ @t205 @t228) @t248))) % 0.25/0.51 (assume @p143 (= tptp.plus_plus_nat (lambda @t49 (_ (_ tptp.plus_plus_nat @t48) @t47)))) % 0.25/0.51 (assume @p144 (= tptp.plus_plus_real (lambda @t46 (_ (_ tptp.plus_plus_real @t45) @t44)))) % 0.25/0.51 (assume @p145 (forall @t43 (= (_ (_ tptp.plus_plus_nat @t225) @t39) @t247))) % 0.25/0.51 (assume @p146 (forall @t38 (= (_ (_ tptp.plus_plus_real @t215) @t34) @t248))) % 0.25/0.51 (assume @p147 (forall (@list @t252 @t249 @t29 @t23) (=> (= @t252 (_ @t250 @t29)) (= (_ @t224 @t252) @t251)))) % 0.25/0.51 (assume @p148 (forall (@list @t256 @t253 @t26 @t20) (=> (= @t256 (_ @t254 @t26)) (= (_ @t214 @t256) @t255)))) % 0.25/0.51 (assume @p149 (forall (@list @t257 @t249 @t23 @t29) (=> (= @t257 (_ @t250 @t23)) (= (_ (_ tptp.plus_plus_nat @t257) @t29) @t251)))) % 0.25/0.51 (assume @p150 (forall @t260 (=> @t259 (= (_ (_ tptp.plus_plus_real @t258) @t26) @t255)))) % 0.25/0.51 (assume @p151 (forall @t268 (=> (and @t267 @t266) (= @t265 @t264)))) % 0.25/0.51 (assume @p152 (forall @t277 (=> (and @t276 @t275) (= @t274 @t272)))) % 0.25/0.51 (assume @p153 (forall @t87 (= (= tptp.one_one_nat @t78) (= @t78 tptp.one_one_nat)))) % 0.25/0.51 (assume @p154 (forall @t230 (= @t280 @t278))) % 0.25/0.51 (assume @p155 (forall @t233 (= (_ (_ tptp.minus_minus_nat (_ @t206 @t39)) @t29) @t281))) % 0.25/0.51 (assume @p156 (forall @t284 (=> @t283 (= @t170 (= @t34 @t200))))) % 0.25/0.51 (assume @p157 (forall @t230 (=> @t241 @t121))) % 0.25/0.51 (assume @p158 (forall @t233 (=> @t243 @t126))) % 0.25/0.51 (assume @p159 (forall @t192 (=> @t244 @t121))) % 0.25/0.51 (assume @p160 (forall @t193 (=> @t246 @t126))) % 0.25/0.51 (assume @p161 (= tptp.ord_less_eq_nat (lambda @t49 (exists (@list @t285) (= @t48 (_ (_ tptp.plus_plus_nat @t47) @t285)))))) % 0.25/0.51 (assume @p162 (forall @t38 (=> @t121 @t241))) % 0.25/0.51 (assume @p163 (forall @t43 (=> @t126 @t243))) % 0.25/0.51 (assume @p164 (forall @t31 (=> @t126 (not (forall (@list @t286) (not (= @t29 (_ @t224 @t286)))))))) % 0.25/0.51 (assume @p165 (forall @t38 (=> @t121 @t244))) % 0.25/0.51 (assume @p166 (forall @t43 (=> @t126 @t246))) % 0.25/0.51 (assume @p167 (forall @t284 (=> @t121 (=> @t287 (_ @t240 (_ @t205 @t200)))))) % 0.25/0.51 (assume @p168 (forall (@list @t23 @t29 @t39 @t202) (=> @t126 (=> (_ @t66 @t202) (_ @t242 (_ @t208 @t202)))))) % 0.25/0.51 (assume @p169 (forall @t277 (=> (and @t292 @t290) @t289))) % 0.25/0.51 (assume @p170 (forall @t268 (=> (and @t298 @t296) @t294))) % 0.25/0.51 (assume @p171 (forall @t277 (=> (and @t276 @t290) @t289))) % 0.25/0.51 (assume @p172 (forall @t268 (=> (and @t267 @t296) @t294))) % 0.25/0.51 (assume @p173 (forall @t277 (=> (and @t292 @t275) @t289))) % 0.25/0.51 (assume @p174 (forall @t268 (=> (and @t298 @t266) @t294))) % 0.25/0.51 (assume @p175 (forall @t284 (=> @t283 (= @t121 @t287)))) % 0.25/0.51 (assume @p176 (forall @t38 (=> @t121 (_ @t301 @t300)))) % 0.25/0.51 (assume @p177 (forall @t50 (=> @t63 (_ (_ tptp.ord_less_eq_real (_ @t282 @t20)) @t302)))) % 0.25/0.51 (assume @p178 (forall (@list @t20 @t26 @t200 @t34) (=> @t121 (=> (_ @t201 @t34) (_ @t301 @t303))))) % 0.25/0.51 (assume @p179 (forall @t189 (=> (= @t218 @t20) (= @t34 @t204)))) % 0.25/0.51 (assume @p180 (forall @t191 (=> (= @t221 @t23) (= @t39 @t207)))) % 0.25/0.51 (assume @p181 (forall @t38 (= @t278 @t304))) % 0.25/0.51 (assume @p182 (forall @t43 (= @t281 (_ @t206 @t231)))) % 0.25/0.51 (assume @p183 (forall @t38 (= @t304 @t280))) % 0.25/0.51 (assume @p184 (forall @t38 (= (_ @t209 @t34) @t305))) % 0.25/0.51 (assume @p185 (forall @t38 (= (_ @t203 @t300) @t305))) % 0.25/0.51 (assume @p186 (forall @t38 (= (_ @t214 @t300) (_ @t216 @t34)))) % 0.25/0.51 (assume @p187 (forall @t230 (= (= @t20 @t302) (= @t215 @t34)))) % 0.25/0.51 (assume @p188 (forall @t38 (= (= @t204 @t34) (= @t20 @t218)))) % 0.25/0.51 (assume @p189 (forall @t260 (=> @t259 (= (_ (_ tptp.minus_minus_real @t258) @t26) (_ @t254 @t204))))) % 0.25/0.51 (assume @p190 (forall @t22 (_ @t89 @t212))) % 0.25/0.51 (assume @p191 (forall @t28 (=> (_ @t306 @t26) @t121))) % 0.25/0.51 (assume @p192 (forall @t28 (= @t308 @t307))) % 0.25/0.51 (assume @p193 (forall @t158 (= (_ (_ tptp.plus_plus_real @t74) @t152) (_ (_ tptp.ord_max_real @t310) (_ (_ tptp.plus_plus_real @t73) @t152))))) % 0.25/0.51 (assume @p194 (forall @t165 (= (_ (_ tptp.plus_plus_nat @t80) @t159) (_ (_ tptp.ord_max_nat @t312) (_ (_ tptp.plus_plus_nat @t79) @t159))))) % 0.25/0.51 (assume @p195 (forall @t158 (= (_ @t309 (_ (_ tptp.ord_max_real @t73) @t152)) (_ (_ tptp.ord_max_real (_ @t309 @t73)) @t310)))) % 0.25/0.51 (assume @p196 (forall @t165 (= (_ @t311 (_ (_ tptp.ord_max_nat @t79) @t159)) (_ (_ tptp.ord_max_nat @t313) @t312)))) % 0.25/0.51 (assume @p197 (forall @t158 (= (_ (_ tptp.minus_minus_real @t74) @t152) (_ (_ tptp.ord_max_real (_ @t315 @t152)) @t314)))) % 0.25/0.51 (assume @p198 (forall @t43 (=> @t126 (=> @t126 (= (= @t316 @t39) (= @t29 @t222)))))) % 0.25/0.51 (assume @p199 (forall @t31 (=> @t126 (= (_ @t224 @t316) @t29)))) % 0.25/0.51 (assume @p200 (forall @t43 (=> @t126 (= (_ @t317 @t316) (_ @t223 @t29))))) % 0.25/0.51 (assume @p201 (forall @t43 (=> @t126 (= @t320 @t319)))) % 0.25/0.51 (assume @p202 (forall @t43 (=> @t126 (= @t319 @t320)))) % 0.25/0.51 (assume @p203 (forall @t43 (=> @t126 (= @t322 @t321)))) % 0.25/0.51 (assume @p204 (forall @t43 (=> @t126 (= @t321 @t322)))) % 0.25/0.51 (assume @p205 (forall @t43 (=> @t126 (= (_ @t66 @t316) (_ @t245 @t29))))) % 0.25/0.51 (assume @p206 (forall @t43 (=> @t126 (_ @t66 @t320)))) % 0.25/0.51 (assume @p207 (forall (@list @t273 @t253 @t323 @t270) (=> @t326 (=> @t325 (=> @t326 (=> @t325 (_ (_ tptp.ord_less_eq_real @t324) @t270))))))) % 0.25/0.51 (assume @p208 (forall (@list @t52 @t249 @t327 @t262) (=> @t333 (=> @t332 (=> @t333 (=> @t332 (_ (_ tptp.ord_less_eq_nat @t329) @t262))))))) % 0.25/0.51 (assume @p209 (forall @t31 (=> @t126 (= (_ @t318 @t23) @t29)))) % 0.25/0.51 (assume @p210 (forall (@list @t273 @t253 @t323) (=> @t326 (_ @t291 @t324)))) % 0.25/0.51 (assume @p211 (forall (@list @t52 @t249 @t327) (=> @t333 (_ @t297 @t329)))) % 0.25/0.51 (assume @p212 (forall @t230 (= (_ @t89 @t302) (_ @t334 @t34)))) % 0.25/0.51 (assume @p213 (forall @t38 (= (_ (_ tptp.ord_less_eq_real @t204) @t34) (_ @t89 @t218)))) % 0.25/0.51 (assume @p214 (forall @t28 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t215)) @t213))) % 0.25/0.51 (assume @p215 (forall @t28 (_ @t336 @t307))) % 0.25/0.51 (assume @p216 (forall @t28 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t335)) @t308))) % 0.25/0.51 (assume @p217 (forall @t28 (_ @t336 @t308))) % 0.25/0.51 (assume @p218 (forall @t284 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ @t216 (_ @t217 @t200)))) (_ (_ tptp.plus_plus_real (_ tptp.abs_abs_real @t279)) (_ tptp.abs_abs_real @t303))))) % 0.25/0.51 (assume @p219 (forall @t28 (_ (_ tptp.ord_less_eq_real @t308) @t213))) % 0.25/0.51 (assume @p220 (forall (@list @t72 @t20 @t337) (= (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ @t315 @t20))) @t337) (and (_ (_ tptp.ord_less_eq_real (_ @t203 @t337)) @t72) (_ @t84 (_ @t214 @t337)))))) % 0.25/0.51 (assume @p221 (forall @t345 (=> (and @t6 (_ (_ tptp.ord_less_eq_real @t344) @t5)) (_ @t342 @t341)))) % 0.25/0.51 (assume @p222 (forall @t59 (=> @t58 (_ @t342 @t347)))) % 0.25/0.51 (assume @p223 (forall @t345 (=> (and @t6 (_ (_ tptp.ord_less_eq_real @t5) @t344)) (_ (_ tptp.ord_less_eq_real @t341) tptp.genClo1650508560e_rmax)))) % 0.25/0.51 (assume @p224 (forall @t59 (=> @t58 (_ (_ tptp.ord_less_eq_real @t347) tptp.genClo1650508560e_rmax)))) % 0.25/0.51 (assume @p225 (forall (@list @t72 @t73 @t349 @t348) (=> @t140 (=> (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t349)) @t348) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t309 @t349)) @t73))) @t348))))) % 0.25/0.51 (assume @p226 (forall @t158 (= (= @t72 @t314) (= @t73 @t310)))) % 0.25/0.51 (assume @p227 (forall @t354 (=> @t58 (=> (_ @t353 @t351) (_ (_ tptp.ord_less_eq_real @t352) (_ (_ tptp.plus_plus_real tptp.genClo1650508560e_rmax) tptp.genClo1278781456e_beta)))))) % 0.25/0.51 (assume @p228 (forall @t358 (=> (and (_ @t3 @t340) (_ @t357 @t356)) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real @t340) @t356))) tptp.genClo1278781456e_beta)))) % 0.25/0.51 (assume @p229 (forall @t363 (= (_ (_ tptp.ord_less_eq_nat @t362) @t361) @t360))) % 0.25/0.51 (assume @p230 (forall (@list @t52 @t327) (=> (_ @t297 @t327) (= (_ @t328 (_ @t328 @t52)) @t52)))) % 0.25/0.51 (assume @p231 (forall @t366 (= @t365 (_ @t364 @t330)))) % 0.25/0.51 (assume @p232 (forall @t370 (=> @t369 (= (_ @t364 @t368) (_ (_ tptp.minus_minus_nat @t265) @t262))))) % 0.25/0.51 (assume @p233 (forall @t370 (=> @t369 (= @t372 @t371)))) % 0.25/0.51 (assume @p234 (forall @t370 (=> @t369 (= @t374 @t373)))) % 0.25/0.51 (assume @p235 (forall (@list @t376 @t249 @t29) (=> (_ @t376 @t249) (=> (forall (@list @t100) (=> (_ @t376 @t100) (_ (_ tptp.ord_less_eq_nat @t100) @t29))) (exists (@list @t101) (and (_ @t376 @t101) (forall (@list @t375) (=> (_ @t376 @t375) (_ (_ tptp.ord_less_eq_nat @t375) @t101))))))))) % 0.25/0.51 (assume @p236 (forall @t378 (or @t360 @t377))) % 0.25/0.51 (assume @p237 (forall @t380 (=> @t360 (_ (_ tptp.ord_less_eq_nat (_ @t379 @t327)) (_ @t379 @t359))))) % 0.25/0.51 (assume @p238 (forall @t233 (=> @t150 (=> @t105 (= (_ (_ tptp.ord_less_eq_nat (_ @t317 @t23)) (_ @t317 @t29)) @t69))))) % 0.25/0.51 (assume @p239 (forall @t378 (_ (_ tptp.ord_less_eq_nat @t382) @t359))) % 0.25/0.51 (assume @p240 (forall @t380 (=> @t360 (_ (_ tptp.ord_less_eq_nat (_ @t381 @t261)) (_ @t328 @t261))))) % 0.25/0.51 (assume @p241 (forall @t363 (=> @t385 (=> @t384 (= (_ (_ tptp.minus_minus_nat @t383) @t329) @t382))))) % 0.25/0.51 (assume @p242 (forall @t363 (=> @t385 (=> @t384 (= (_ (_ tptp.ord_less_eq_nat @t383) @t329) @t360))))) % 0.25/0.51 (assume @p243 (forall @t363 (=> @t385 (=> @t384 (= (= @t383 @t329) @t386))))) % 0.25/0.51 (assume @p244 (forall @t378 (=> @t360 (=> @t377 @t386)))) % 0.25/0.51 (assume @p245 (forall @t378 (=> @t386 @t360))) % 0.25/0.51 (assume @p246 (forall @t366 (=> @t298 (=> (_ @t387 @t249) (_ @t297 @t249))))) % 0.25/0.51 (assume @p247 (forall @t388 (_ @t331 @t327))) % 0.25/0.51 (assume @p248 (forall @t366 (=> @t298 (= (= (_ @t367 @t52) @t249) (= @t262 (_ @t250 @t52)))))) % 0.25/0.51 (assume @p249 (forall @t390 (= (_ (_ tptp.plus_plus_nat (_ @t328 @t359)) @t359) (_ @t389 @t359)))) % 0.25/0.51 (assume @p250 (forall @t378 (= (_ (_ tptp.minus_minus_nat @t392) @t327) @t359))) % 0.25/0.51 (assume @p251 (forall @t390 (= (_ (_ tptp.minus_minus_nat @t394) @t327) @t359))) % 0.25/0.51 (assume @p252 (forall @t370 (=> @t369 (= @t371 @t372)))) % 0.25/0.51 (assume @p253 (forall @t370 (=> @t369 (= @t373 @t374)))) % 0.25/0.51 (assume @p254 (forall @t370 (=> @t369 (= (_ @t297 @t368) (_ @t293 @t262))))) % 0.25/0.51 (assume @p255 (forall (@list @t262 @t249 @t52) (= (_ (_ tptp.ord_less_eq_nat @t368) @t52) (_ @t387 @t265)))) % 0.25/0.51 (assume @p256 (forall @t396 (= (_ (_ tptp.minus_minus_nat @t395) (_ @t393 @t249)) @t382))) % 0.25/0.51 (assume @p257 (forall @t363 (= (_ (_ tptp.minus_minus_nat @t362) @t361) @t382))) % 0.25/0.51 (assume @p258 (forall @t398 (= (_ @t391 (_ @t389 @t350)) (_ (_ tptp.ord_max_nat @t392) @t397)))) % 0.25/0.51 (assume @p259 (forall @t398 (= (_ (_ tptp.plus_plus_nat (_ (_ tptp.ord_max_nat @t359) @t327)) @t350) (_ (_ tptp.ord_max_nat @t397) (_ @t393 @t350))))) % 0.25/0.51 (assume @p260 (= tptp.ord_less_eq_nat (lambda (@list @t400 @t401) (exists (@list @t399) (= @t401 (_ (_ tptp.plus_plus_nat @t400) @t399)))))) % 0.25/0.51 (assume @p261 (forall @t402 (=> @t298 (_ @t297 (_ @t391 @t262))))) % 0.25/0.51 (assume @p262 (forall @t402 (=> @t298 (_ @t297 (_ @t263 @t359))))) % 0.25/0.51 (assume @p263 (forall @t366 (=> @t298 (_ @t293 @t330)))) % 0.25/0.51 (assume @p264 (forall @t268 (=> @t298 (=> @t296 @t294)))) % 0.25/0.51 (assume @p265 (forall (@list @t249 @t261) (=> @t296 (exists (@list @t403) (= @t261 (_ @t250 @t403)))))) % 0.25/0.51 (assume @p266 (forall @t396 (=> @t404 @t384))) % 0.25/0.51 (assume @p267 (forall @t396 (=> @t404 @t360))) % 0.25/0.51 (assume @p268 (forall @t390 (_ @t331 @t392))) % 0.25/0.51 (assume @p269 (forall @t390 (_ @t331 @t394))) % 0.25/0.51 (assume @p270 (forall @t396 (=> @t404 (not (=> @t360 (not @t384)))))) % 0.25/0.51 (assume @p271 (_ (_ tptp.ord_less_eq_real tptp.genClo1278781456e_beta) tptp.genClo1651033342e_rmin)) % 0.25/0.51 (assume @p272 (forall (@list @t2 @t355 @t5 @t338) (=> (and @t6 (_ @t357 @t5) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.plus_plus_real @t356) tptp.genClo1278781456e_beta)) @t5)) (_ (_ tptp.ord_less_eq_real @t340) @t5)))) % 0.25/0.51 (assume @p273 (forall @t358 (=> (and (_ @t3 @t344) (_ @t357 @t344)) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ (_ (_ tptp.genClo1400225944_theta @t2) @t343) @t355)) (_ (_ (_ tptp.genClo1160817912lle_IC @t355) @t338) @t344)))) tptp.genClo721845095Lambda)))) % 0.25/0.51 (assume @p274 (forall @t354 (=> @t58 (=> (_ @t353 @t56) (_ @t405 @t352))))) % 0.25/0.51 (assume @p275 (forall @t388 (= (_ @t331 tptp.zero_zero_nat) (= @t327 tptp.zero_zero_nat)))) % 0.25/0.51 (assume @p276 (forall @t145 (= (= tptp.zero_zero_nat @t313) @t406))) % 0.25/0.51 (assume @p277 (forall @t145 (= (= @t313 tptp.zero_zero_nat) @t406))) % 0.25/0.51 (assume @p278 (forall @t31 (= (= @t23 @t225) @t407))) % 0.25/0.51 (assume @p279 (forall @t28 (= (= @t20 @t215) @t408))) % 0.25/0.51 (assume @p280 (forall @t31 (= (= @t23 @t234) @t407))) % 0.25/0.51 (assume @p281 (forall @t28 (= (= @t20 @t236) @t408))) % 0.25/0.51 (assume @p282 (forall @t31 (= (= @t225 @t23) @t407))) % 0.25/0.51 (assume @p283 (forall @t28 (= (= @t215 @t20) @t408))) % 0.25/0.51 (assume @p284 (forall @t187 (= (= @t234 @t23) @t407))) % 0.25/0.51 (assume @p285 (forall @t186 (= (= @t236 @t20) @t408))) % 0.25/0.51 (assume @p286 (forall @t22 (= (= tptp.zero_zero_real @t410) @t409))) % 0.25/0.51 (assume @p287 (forall @t22 (= (= @t410 tptp.zero_zero_real) @t409))) % 0.25/0.51 (assume @p288 (forall @t25 (= (_ @t224 tptp.zero_zero_nat) @t23))) % 0.25/0.51 (assume @p289 (forall @t22 (= (_ @t214 tptp.zero_zero_real) @t20))) % 0.25/0.51 (assume @p290 (forall @t25 (= (_ (_ tptp.plus_plus_nat tptp.zero_zero_nat) @t23) @t23))) % 0.25/0.51 (assume @p291 (forall @t22 (= (_ (_ tptp.plus_plus_real tptp.zero_zero_real) @t20) @t20))) % 0.25/0.51 (assume @p292 (forall @t22 (= (_ @t203 @t20) tptp.zero_zero_real))) % 0.25/0.51 (assume @p293 (forall @t25 (= (_ @t206 @t23) tptp.zero_zero_nat))) % 0.25/0.51 (assume @p294 (forall @t22 (= (_ @t203 tptp.zero_zero_real) @t20))) % 0.25/0.51 (assume @p295 (forall @t25 (= (_ @t206 tptp.zero_zero_nat) @t23))) % 0.25/0.51 (assume @p296 (forall @t25 (= (_ (_ tptp.minus_minus_nat tptp.zero_zero_nat) @t23) tptp.zero_zero_nat))) % 0.25/0.51 (assume @p297 (= (_ tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real)) % 0.25/0.51 (assume @p298 (forall @t22 (= (= @t212 tptp.zero_zero_real) @t409))) % 0.25/0.51 (assume @p299 (forall @t22 (= (= tptp.zero_zero_real @t212) @t409))) % 0.25/0.51 (assume @p300 (forall @t186 (= (_ (_ tptp.ord_less_eq_real @t236) @t26) @t411))) % 0.25/0.51 (assume @p301 (forall @t187 (= (_ (_ tptp.ord_less_eq_nat @t234) @t29) @t412))) % 0.25/0.51 (assume @p302 (forall @t28 (= (_ @t334 @t26) @t411))) % 0.25/0.51 (assume @p303 (forall @t31 (= (_ @t413 @t29) @t412))) % 0.25/0.51 (assume @p304 (forall @t28 (= (_ @t89 @t215) @t414))) % 0.25/0.51 (assume @p305 (forall @t31 (= (_ @t110 @t225) @t416))) % 0.25/0.51 (assume @p306 (forall @t28 (= (_ @t89 @t236) @t414))) % 0.25/0.51 (assume @p307 (forall @t31 (= (_ @t110 @t234) @t416))) % 0.25/0.51 (assume @p308 (forall @t22 (= (_ (_ tptp.ord_less_eq_real @t410) tptp.zero_zero_real) @t411))) % 0.25/0.51 (assume @p309 (forall @t22 (= (_ @t405 @t410) @t417))) % 0.25/0.51 (assume @p310 (forall @t28 (= (_ @t405 @t204) @t63))) % 0.25/0.51 (assume @p311 (forall @t31 (= (_ @t206 @t225) tptp.zero_zero_nat))) % 0.25/0.51 (assume @p312 (forall @t22 (=> @t417 (= @t212 @t20)))) % 0.25/0.51 (assume @p313 (forall @t22 (= (_ @t306 @t20) @t417))) % 0.25/0.51 (assume @p314 (forall @t22 (= (_ @t306 tptp.zero_zero_real) @t409))) % 0.25/0.51 (assume @p315 (forall @t87 (_ @t415 @t78))) % 0.25/0.51 (assume @p316 (forall @t366 (= @t365 (_ (_ tptp.minus_minus_nat (_ @t364 @t249)) @t262)))) % 0.25/0.51 (assume @p317 (forall @t85 (= (= tptp.zero_zero_real @t72) (= @t72 tptp.zero_zero_real)))) % 0.25/0.51 (assume @p318 (= @t134 (lambda @t46 (= (_ (_ tptp.minus_minus_real @t44) @t45) tptp.zero_zero_real)))) % 0.25/0.51 (assume @p319 (not (= tptp.zero_zero_nat tptp.one_one_nat))) % 0.25/0.51 (assume @p320 (not (= tptp.zero_zero_real tptp.one_one_real))) % 0.25/0.51 (assume @p321 (forall @t230 (=> @t411 (=> @t184 @t418)))) % 0.25/0.51 (assume @p322 (forall @t233 (=> @t412 (=> @t185 @t419)))) % 0.25/0.51 (assume @p323 (forall @t38 (=> @t417 (=> @t95 @t420)))) % 0.25/0.51 (assume @p324 (forall @t43 (=> @t422 (=> @t105 @t421)))) % 0.25/0.51 (assume @p325 (forall @t192 (=> (_ @t60 tptp.zero_zero_real) (=> @t121 @t418)))) % 0.25/0.51 (assume @p326 (forall @t193 (=> (_ @t66 tptp.zero_zero_nat) (=> @t126 @t419)))) % 0.25/0.51 (assume @p327 (forall @t189 (=> (_ @t405 @t34) (=> @t63 @t420)))) % 0.25/0.51 (assume @p328 (forall @t191 (=> (_ @t415 @t39) (=> @t69 @t421)))) % 0.25/0.51 (assume @p329 (forall @t28 (=> @t417 (=> @t414 (_ @t405 @t215))))) % 0.25/0.51 (assume @p330 (forall @t31 (=> @t422 (=> @t416 (_ @t415 @t225))))) % 0.25/0.51 (assume @p331 (forall @t28 (=> @t411 (=> (_ @t62 tptp.zero_zero_real) (_ @t334 tptp.zero_zero_real))))) % 0.25/0.51 (assume @p332 (forall @t31 (=> @t412 (=> (_ @t68 tptp.zero_zero_nat) (_ @t413 tptp.zero_zero_nat))))) % 0.25/0.51 (assume @p333 (forall @t145 (= (_ (_ (_ tptp.if_nat false) @t78) @t79) @t79))) % 0.25/0.51 (assume @p334 (forall @t145 (= (_ (_ (_ tptp.if_nat true) @t78) @t79) @t78))) % 0.25/0.51 (assume @p335 (forall (@list @t423) (or (= @t423 true) (= @t423 false)))) % 0.25/0.51 (assume @p336 (forall @t142 (= (_ (_ (_ tptp.if_real false) @t72) @t73) @t73))) % 0.25/0.51 (assume @p337 (forall @t142 (= (_ (_ (_ tptp.if_real true) @t72) @t73) @t72))) % 0.25/0.51 (assume @p338 @t425) % 0.25/0.51 (assume @p339 true) % 0.25/0.51 (step @p340 (= tptp.ord_less_eq_real @t426) :rule refl :args (@t426)) % 0.25/0.51 (step @p341 (= tptp.ord_less_eq_nat @t427) :rule refl :args (@t427)) % 0.25/0.51 (step @p342 (= tptp.genClo208577157axsync @t432) :rule refl :args (@t432)) % 0.25/0.51 (step @p343 (= tptp.genClo293725282kRead2 @t436) :rule refl :args (@t436)) % 0.25/0.51 (step @p344 (= tptp.genClo293725281kRead1 @t438) :rule refl :args (@t438)) % 0.25/0.51 (step @p345 :rule refl :args (@t439)) % 0.25/0.51 (step @p346 :rule refl :args (@t4)) % 0.25/0.51 (step @p347 :rule cong :premises (@p346 @p345) :args ((= @t4 @t439))) % 0.25/0.51 (step @p348 :rule symm :premises (@p347)) % 0.25/0.51 (step @p349 :rule eq_resolve :premises (@p346 @p348)) % 0.25/0.51 (step @p350 :rule refl :args (@t440)) % 0.25/0.51 (step @p351 :rule refl :args (@t6)) % 0.25/0.51 (step @p352 :rule cong :premises (@p351 @p350) :args ((= @t6 @t440))) % 0.25/0.51 (step @p353 :rule symm :premises (@p352)) % 0.25/0.51 (step @p354 :rule eq_resolve :premises (@p351 @p353)) % 0.25/0.51 (step @p355 :rule cong :premises (@p354) :args (@t441)) % 0.25/0.51 (step @p356 :rule refl :args (@t442)) % 0.25/0.51 (step @p357 :rule refl :args (@t444)) % 0.25/0.51 (step @p358 :rule cong :premises (@p357 @p356) :args ((= @t444 @t442))) % 0.25/0.51 (step @p359 :rule symm :premises (@p358)) % 0.25/0.51 (step @p360 :rule eq_resolve :premises (@p357 @p359)) % 0.25/0.51 (step @p361 :rule refl :args (@t5)) % 0.25/0.51 (step @p362 :rule cong :premises (@p361 @p360) :args (@t445)) % 0.25/0.51 (step @p363 :rule cong :premises (@p362) :args (@t446)) % 0.25/0.51 (step @p364 :rule nary_cong :premises (@p363 @p355 @p349) :args (@t447)) % 0.25/0.51 (step @p365 :rule cong :premises (@p364) :args ((forall @t9 @t447))) % 0.25/0.51 (step @p366 :rule aci_norm :args ((= (or (or @t446 @t441) @t4) @t447))) % 0.25/0.51 (step @p367 :rule bool-and-de-morgan :args (@t445 @t6 true)) % 0.25/0.51 (step @p368 :rule nary_cong :premises (@p367 @p346) :args ((or (not @t448) @t4))) % 0.25/0.51 (step @p369 :rule trans :premises (@p368 @p366)) % 0.25/0.51 (step @p370 :rule bool-impl-elim :args (@t448 @t4)) % 0.25/0.51 (step @p371 :rule trans :premises (@p370 @p369)) % 0.25/0.51 (step @p372 :rule cong :premises (@p371) :args ((forall @t9 (=> @t448 @t4)))) % 0.25/0.51 (step @p373 :rule trans :premises (@p372 @p365)) % 0.25/0.51 (step @p374 :rule refl :args (@t4)) % 0.25/0.51 (step @p375 :rule refl :args (@t6)) % 0.25/0.51 (step @p376 :rule beta-reduce :args ((= (_ @t450 @t5) @t445))) % 0.25/0.51 (step @p377 :rule refl :args (@t5)) % 0.25/0.51 (step @p378 :rule beta-reduce :args ((= @t452 @t450))) % 0.25/0.51 (step @p379 :rule ho_cong :premises (@p378 @p377)) % 0.25/0.51 (step @p380 :rule trans :premises (@p379 @p376)) % 0.25/0.51 (step @p381 :rule nary_cong :premises (@p380 @p375) :args (@t453)) % 0.25/0.51 (step @p382 :rule cong :premises (@p381 @p374) :args (@t454)) % 0.25/0.51 (step @p383 :rule cong :premises (@p382) :args ((forall @t9 @t454))) % 0.25/0.51 (step @p384 :rule trans :premises (@p383 @p373)) % 0.25/0.51 (step @p385 :rule refl :args (@t1)) % 0.25/0.51 (step @p386 :rule eq-symm :args (@t194 @t45)) % 0.25/0.51 (step @p387 :rule cong :premises (@p386) :args (@t426)) % 0.25/0.51 (step @p388 :rule trans :premises (@p340 @p387)) % 0.25/0.51 (step @p389 :rule ho_cong :premises (@p388 @p385)) % 0.25/0.51 (step @p390 :rule ho_cong :premises (@p389 @p377)) % 0.25/0.51 (step @p391 :rule nary_cong :premises (@p390 @p375) :args (@t7)) % 0.25/0.51 (step @p392 :rule cong :premises (@p391 @p374) :args (@t8)) % 0.25/0.51 (step @p393 :rule cong :premises (@p392) :args (@t10)) % 0.25/0.51 (step @p394 :rule trans :premises (@p393 @p384)) % 0.25/0.51 (step @p395 :rule eq_resolve :premises (@p1 @p394)) % 0.25/0.51 (step @p396 :rule refl :args ((tptp.genClo1015804716orrect tptp.m @t13))) % 0.25/0.51 (step @p397 :rule refl :args ((tptp.genClo1163638703lle_te tptp.p @t11))) % 0.25/0.51 (step @p398 :rule refl :args (@t455)) % 0.25/0.51 (step @p399 :rule refl :args (tptp.p)) % 0.25/0.51 (step @p400 :rule cong :premises (@p399 @p398) :args (@t456)) % 0.25/0.51 (step @p401 :rule trans :premises (@p400 @p397)) % 0.25/0.51 (step @p402 :rule refl :args (tptp.m)) % 0.25/0.51 (step @p403 :rule cong :premises (@p402 @p401) :args (@t457)) % 0.25/0.51 (step @p404 :rule trans :premises (@p403 @p396)) % 0.25/0.51 (step @p405 :rule refl :args (@t14)) % 0.25/0.51 (step @p406 :rule ho_cong :premises (@p405 @p401)) % 0.25/0.51 (step @p407 :rule cong :premises (@p406 @p404) :args ((= (_ @t14 @t456) @t457))) % 0.25/0.51 (step @p408 :rule symm :premises (@p407)) % 0.25/0.51 (step @p409 :rule refl :args (@t15)) % 0.25/0.51 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 0.25/0.51 (step @p411 :rule refl :args (@t12)) % 0.25/0.51 (step @p412 :rule ho_cong :premises (@p411 @p398)) % 0.25/0.51 (step @p413 :rule cong :premises (@p412 @p401) :args ((= (_ @t12 @t455) @t456))) % 0.25/0.51 (step @p414 :rule symm :premises (@p413)) % 0.25/0.51 (step @p415 :rule refl :args (@t13)) % 0.25/0.51 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 0.25/0.51 (step @p417 :rule refl :args (@t11)) % 0.25/0.51 (step @p418 :rule cong :premises (@p417 @p398) :args ((= @t11 @t455))) % 0.25/0.51 (step @p419 :rule symm :premises (@p418)) % 0.25/0.51 (step @p420 :rule eq_resolve :premises (@p417 @p419)) % 0.25/0.51 (step @p421 :rule refl :args (@t12)) % 0.25/0.51 (step @p422 :rule ho_cong :premises (@p421 @p420)) % 0.25/0.51 (step @p423 :rule trans :premises (@p422 @p416)) % 0.25/0.51 (step @p424 :rule refl :args (@t14)) % 0.25/0.51 (step @p425 :rule ho_cong :premises (@p424 @p423)) % 0.25/0.51 (step @p426 :rule trans :premises (@p425 @p410)) % 0.25/0.51 (step @p427 :rule eq_resolve :premises (@p2 @p426)) % 0.25/0.51 (step @p428 :rule true_intro :premises (@p427)) % 0.25/0.51 (step @p429 :rule refl :args ((tptp.ord_max_real @t18 @t13))) % 0.25/0.51 (step @p430 :rule refl :args ((tptp.ord_max_real @t17 @t16))) % 0.25/0.51 (step @p431 :rule refl :args (@t458)) % 0.25/0.51 (step @p432 :rule refl :args (@t459)) % 0.25/0.51 (step @p433 :rule cong :premises (@p432 @p431) :args (@t460)) % 0.25/0.51 (step @p434 :rule trans :premises (@p433 @p430)) % 0.25/0.51 (step @p435 :rule cong :premises (@p434 @p401) :args (@t461)) % 0.25/0.51 (step @p436 :rule trans :premises (@p435 @p429)) % 0.25/0.51 (step @p437 :rule refl :args (tptp.ord_max_real)) % 0.25/0.51 (step @p438 :rule ho_cong :premises (@p437 @p434)) % 0.25/0.51 (step @p439 :rule ho_cong :premises (@p438 @p401)) % 0.25/0.51 (step @p440 :rule cong :premises (@p439 @p436) :args ((= (_ (_ tptp.ord_max_real @t460) @t456) @t461))) % 0.25/0.51 (step @p441 :rule symm :premises (@p440)) % 0.25/0.51 (step @p442 :rule refl :args (@t463)) % 0.25/0.51 (step @p443 :rule eq_resolve :premises (@p442 @p441)) % 0.25/0.51 (step @p444 :rule ho_cong :premises (@p437 @p432)) % 0.25/0.51 (step @p445 :rule ho_cong :premises (@p444 @p431)) % 0.25/0.51 (step @p446 :rule cong :premises (@p445 @p434) :args ((= (_ (_ tptp.ord_max_real @t459) @t458) @t460))) % 0.25/0.51 (step @p447 :rule symm :premises (@p446)) % 0.25/0.51 (step @p448 :rule refl :args (@t18)) % 0.25/0.51 (step @p449 :rule eq_resolve :premises (@p448 @p447)) % 0.25/0.51 (step @p450 :rule refl :args (@t16)) % 0.25/0.51 (step @p451 :rule cong :premises (@p450 @p431) :args ((= @t16 @t458))) % 0.25/0.51 (step @p452 :rule symm :premises (@p451)) % 0.25/0.51 (step @p453 :rule eq_resolve :premises (@p450 @p452)) % 0.25/0.51 (step @p454 :rule refl :args (@t17)) % 0.25/0.51 (step @p455 :rule cong :premises (@p454 @p432) :args ((= @t17 @t459))) % 0.25/0.51 (step @p456 :rule symm :premises (@p455)) % 0.25/0.51 (step @p457 :rule eq_resolve :premises (@p454 @p456)) % 0.25/0.51 (step @p458 :rule refl :args (tptp.ord_max_real)) % 0.25/0.51 (step @p459 :rule ho_cong :premises (@p458 @p457)) % 0.25/0.51 (step @p460 :rule ho_cong :premises (@p459 @p453)) % 0.25/0.51 (step @p461 :rule trans :premises (@p460 @p449)) % 0.25/0.51 (step @p462 :rule ho_cong :premises (@p458 @p461)) % 0.25/0.51 (step @p463 :rule ho_cong :premises (@p462 @p423)) % 0.25/0.51 (step @p464 :rule trans :premises (@p463 @p443)) % 0.25/0.51 (step @p465 :rule cong :premises (@p423 @p464) :args (@t464)) % 0.25/0.51 (step @p466 :rule beta-reduce :args ((= (_ @t465 @t13) @t464))) % 0.25/0.51 (step @p467 :rule refl :args (@t13)) % 0.25/0.51 (step @p468 :rule beta-reduce :args ((= (_ @t451 @t18) @t465))) % 0.25/0.51 (step @p469 :rule ho_cong :premises (@p468 @p467)) % 0.25/0.51 (step @p470 :rule trans :premises (@p469 @p466)) % 0.25/0.51 (step @p471 :rule refl :args (@t18)) % 0.25/0.51 (step @p472 :rule ho_cong :premises (@p388 @p471)) % 0.25/0.51 (step @p473 :rule ho_cong :premises (@p472 @p467)) % 0.25/0.51 (step @p474 :rule trans :premises (@p473 @p470)) % 0.25/0.51 (step @p475 :rule trans :premises (@p474 @p465)) % 0.25/0.51 (step @p476 :rule eq_resolve :premises (@p4 @p475)) % 0.25/0.51 (step @p477 :rule symm :premises (@p476)) % 0.25/0.51 (step @p478 :rule refl :args (tptp.m)) % 0.25/0.51 (step @p479 :rule cong :premises (@p478 @p477) :args (@t466)) % 0.25/0.51 (step @p480 :rule trans :premises (@p479 @p428)) % 0.25/0.51 (step @p481 :rule true_elim :premises (@p480)) % 0.25/0.51 (step @p482 :rule refl :args (@t460)) % 0.25/0.51 (step @p483 :rule cong :premises (@p482 @p476) :args (@t461)) % 0.25/0.51 (step @p484 :rule refl :args ((tptp.genClo1015804716orrect tptp.m @t18))) % 0.25/0.51 (step @p485 :rule cong :premises (@p402 @p434) :args (@t467)) % 0.25/0.51 (step @p486 :rule trans :premises (@p485 @p484)) % 0.25/0.51 (step @p487 :rule ho_cong :premises (@p405 @p434)) % 0.25/0.51 (step @p488 :rule cong :premises (@p487 @p486) :args ((= (_ @t14 @t460) @t467))) % 0.25/0.51 (step @p489 :rule symm :premises (@p488)) % 0.25/0.51 (step @p490 :rule refl :args (@t424)) % 0.25/0.51 (step @p491 :rule eq_resolve :premises (@p490 @p489)) % 0.25/0.51 (step @p492 :rule ho_cong :premises (@p424 @p461)) % 0.25/0.51 (step @p493 :rule trans :premises (@p492 @p491)) % 0.25/0.51 (step @p494 :rule cong :premises (@p493) :args (@t425)) % 0.25/0.51 (step @p495 :rule eq_resolve :premises (@p338 @p494)) % 0.25/0.51 (step @p496 :rule cnf_or_pos :args (@t471)) % 0.25/0.51 (step @p497 :rule reordering :premises (@p496) :args ((or @t467 @t470 @t468 @t472))) % 0.25/0.51 (step @p498 :rule chain_m_resolution :premises (@p497 @p495 @p483 @p481) :args (@t472 (@list true false false) (@list @t467 @t469 @t466))) % 0.25/0.51 (assume-push @p505 @t473) % 0.25/0.51 (step @p500 :rule instantiate :premises (@p395) :args ((@list tptp.m @t460 @t461))) % 0.25/0.51 (step-pop @p506 :rule scope :premises (@p500)) % 0.25/0.51 (step @p501 :rule process_scope :premises (@p506) :args (@t471)) % 0.25/0.51 (step @p503 :rule implies_elim :premises (@p501)) % 0.25/0.51 (step @p504 false :rule chain_m_resolution :premises (@p503 @p498 @p395) :args (false (@list true false) (@list @t471 @t473))) % 0.25/0.51 ) % 0.25/0.51 % SZS output end Proof % 0.25/0.51 % cvc5 exiting %------------------------------------------------------------------------------