%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP062^1 : 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 : n010.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 0.45s 0.90s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ITP062^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:12:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.42/0.61 %----Proving TH0 % 0.45/0.90 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.90 % SZS status Theorem % 0.45/0.90 % SZS output start Proof % 0.45/0.90 ( % 0.45/0.90 (declare-sort tptp.nat 0) % 0.45/0.90 (declare-sort tptp.num 0) % 0.45/0.90 (declare-sort tptp.real 0) % 0.45/0.90 (declare-sort tptp.set_real 0) % 0.45/0.90 (declare-const tptp.minus_minus_real (-> tptp.real tptp.real tptp.real)) % 0.45/0.90 (declare-const tptp.abs_abs_real (-> tptp.real tptp.real)) % 0.45/0.90 (declare-const tptp.ord_less_eq_real (-> tptp.real tptp.real Bool)) % 0.45/0.90 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.45/0.90 (declare-const tptp.genClo1144207539le_rho tptp.real) % 0.45/0.90 (declare-const tptp.times_times_real (-> tptp.real tptp.real tptp.real)) % 0.45/0.90 (declare-const tptp.one_one_real tptp.real) % 0.45/0.90 (declare-const tptp.plus_plus_real (-> tptp.real tptp.real tptp.real)) % 0.45/0.90 (declare-const tptp.genClo1015804716orrect (-> tptp.nat tptp.real Bool)) % 0.45/0.90 (declare-const tptp.genClo1161277105lle_PC (-> tptp.nat tptp.real tptp.real)) % 0.45/0.90 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 0.45/0.90 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 0.45/0.90 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.45/0.90 (declare-const tptp.ord_less_eq_num (-> tptp.num tptp.num Bool)) % 0.45/0.90 (declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.45/0.90 (declare-const tptp.one_one_nat tptp.nat) % 0.45/0.90 (declare-const tptp.d (-> tptp.nat tptp.real tptp.real)) % 0.45/0.90 (declare-const tptp.numeral_numeral_real (-> tptp.num tptp.real)) % 0.45/0.90 (declare-const tptp.s tptp.real) % 0.45/0.90 (declare-const tptp.c (-> tptp.nat tptp.real tptp.real)) % 0.45/0.90 (declare-const tptp.q tptp.nat) % 0.45/0.90 (declare-const tptp.plus_plus_num (-> tptp.num tptp.num tptp.num)) % 0.45/0.90 (declare-const tptp.t tptp.real) % 0.45/0.90 (declare-const tptp.times_times_num (-> tptp.num tptp.num tptp.num)) % 0.45/0.90 (declare-const tptp.p tptp.nat) % 0.45/0.90 (declare-const tptp.one tptp.num) % 0.45/0.90 (declare-const tptp.bit0 (-> tptp.num tptp.num)) % 0.45/0.90 (declare-const tptp.numeral_numeral_nat (-> tptp.num tptp.nat)) % 0.45/0.90 (define tptp.genClo293725282kRead2 () (let ((_let_1 (@var "X" tptp.real))) (let ((_let_2 (@var "P" 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)))))))))) % 0.45/0.90 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "C2" tptp.nat))) (let ((_let_2 (@var "A3" tptp.nat))) (let ((_let_3 (@var "B3" tptp.nat))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (= _let_3 (_ (_ tptp.plus_plus_nat _let_2) _let_1)))))))) % 0.45/0.90 (define tptp.genClo2108747022bound1 () (let ((_let_1 (@var "S2" tptp.real))) (let ((_let_2 (@var "T2" tptp.real))) (let ((_let_3 (@var "P" tptp.nat))) (let ((_let_4 (@var "C4" (-> tptp.nat tptp.real tptp.real)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_1 _let_2) (=> (and (_ (_ tptp.genClo1015804716orrect _let_3) _let_2) (_ (_ tptp.ord_less_eq_real _let_1) _let_2)) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.minus_minus_real (_ _let_5 _let_2)) (_ _let_5 _let_1))) (_ (_ tptp.times_times_real (_ (_ tptp.minus_minus_real _let_2) _let_1)) (_ (_ tptp.plus_plus_real tptp.one_one_real) tptp.genClo1144207539le_rho)))))))))))) % 0.45/0.90 (define tptp.genClo2108747023bound2 () (let ((_let_1 (@var "S2" tptp.real))) (let ((_let_2 (@var "P" tptp.nat))) (let ((_let_3 (@var "C4" (-> tptp.nat tptp.real tptp.real)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T2" tptp.real))) (lambda (@list _let_3) (forall (@list _let_2 _let_1 _let_5) (=> (and (_ (_ tptp.genClo1015804716orrect _let_2) _let_5) (_ (_ tptp.ord_less_eq_real _let_1) _let_5)) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.times_times_real (_ (_ tptp.minus_minus_real _let_5) _let_1)) (_ (_ tptp.minus_minus_real tptp.one_one_real) tptp.genClo1144207539le_rho))) (_ (_ tptp.minus_minus_real (_ _let_4 _let_5)) (_ _let_4 _let_1)))))))))))) % 0.45/0.90 (define tptp.genClo293725281kRead1 () (let ((_let_1 (@var "X" tptp.real))) (let ((_let_2 (@var "M2" tptp.nat))) (let ((_let_3 (@var "F" (-> 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)))))))))) % 0.45/0.90 (define tptp.neg_numeral_dbl_real () (let ((_let_1 (@var "X" tptp.real))) (lambda (@list _let_1) (_ (_ tptp.plus_plus_real _let_1) _let_1)))) % 0.45/0.90 (define @t1 () (_ tptp.d tptp.q)) % 0.45/0.90 (define @t2 () (_ @t1 tptp.s)) % 0.45/0.90 (define @t3 () (_ @t1 tptp.t)) % 0.45/0.90 (define @t4 () (_ (_ tptp.minus_minus_real @t3) @t2)) % 0.45/0.90 (define @t5 () (_ tptp.c tptp.p)) % 0.45/0.90 (define @t6 () (_ @t5 tptp.s)) % 0.45/0.90 (define @t7 () (_ @t5 tptp.t)) % 0.45/0.90 (define @t8 () (_ (_ tptp.minus_minus_real @t7) @t6)) % 0.45/0.90 (define @t9 () (_ (_ tptp.minus_minus_real @t8) @t4)) % 0.45/0.90 (define @t10 () (_ tptp.abs_abs_real @t9)) % 0.45/0.90 (define @t11 () (_ (_ tptp.minus_minus_real tptp.t) tptp.s)) % 0.45/0.90 (define @t12 () (_ tptp.bit0 tptp.one)) % 0.45/0.90 (define @t13 () (_ tptp.numeral_numeral_real @t12)) % 0.45/0.90 (define @t14 () (_ tptp.times_times_real @t13)) % 0.45/0.90 (define @t15 () (_ @t14 tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t16 () (_ (_ tptp.times_times_real @t15) @t11)) % 0.45/0.90 (define @t17 () (_ (_ tptp.minus_minus_real tptp.one_one_real) tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t18 () (_ tptp.times_times_real @t11)) % 0.45/0.90 (define @t19 () (_ @t18 @t17)) % 0.45/0.90 (define @t20 () (_ tptp.plus_plus_real tptp.one_one_real)) % 0.45/0.90 (define @t21 () (_ @t20 tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t22 () (_ tptp.minus_minus_real (_ @t18 @t21))) % 0.45/0.90 (define @t23 () (_ @t22 @t19)) % 0.45/0.90 (define @t24 () (= @t23 @t16)) % 0.45/0.90 (define @t25 () (_ @t22 @t4)) % 0.45/0.90 (define @t26 () (_ tptp.ord_less_eq_real @t9)) % 0.45/0.90 (define @t27 () (@var "V" tptp.num)) % 0.45/0.90 (define @t28 () (_ tptp.numeral_numeral_real @t27)) % 0.45/0.90 (define @t29 () (@var "B" tptp.real)) % 0.45/0.90 (define @t30 () (_ tptp.times_times_real @t29)) % 0.45/0.90 (define @t31 () (_ @t30 @t28)) % 0.45/0.90 (define @t32 () (@var "A" tptp.real)) % 0.45/0.90 (define @t33 () (_ tptp.times_times_real @t32)) % 0.45/0.90 (define @t34 () (_ @t33 @t28)) % 0.45/0.90 (define @t35 () (_ tptp.minus_minus_real @t32)) % 0.45/0.90 (define @t36 () (_ @t35 @t29)) % 0.45/0.90 (define @t37 () (_ tptp.times_times_real @t36)) % 0.45/0.90 (define @t38 () (@list @t32 @t29 @t27)) % 0.45/0.90 (define @t39 () (@var "C" tptp.real)) % 0.45/0.90 (define @t40 () (_ tptp.times_times_real @t28)) % 0.45/0.90 (define @t41 () (_ @t40 @t39)) % 0.45/0.90 (define @t42 () (_ @t40 @t29)) % 0.45/0.90 (define @t43 () (_ tptp.minus_minus_real @t29)) % 0.45/0.90 (define @t44 () (_ @t43 @t39)) % 0.45/0.90 (define @t45 () (@list @t27 @t29 @t39)) % 0.45/0.90 (define @t46 () (@var "N" tptp.num)) % 0.45/0.90 (define @t47 () (_ tptp.numeral_numeral_real @t46)) % 0.45/0.90 (define @t48 () (@list @t46)) % 0.45/0.90 (define @t49 () (_ tptp.abs_abs_real @t32)) % 0.45/0.90 (define @t50 () (_ tptp.times_times_real @t49)) % 0.45/0.90 (define @t51 () (@list @t32)) % 0.45/0.90 (define @t52 () (@var "M" tptp.num)) % 0.45/0.90 (define @t53 () (_ tptp.bit0 @t52)) % 0.45/0.90 (define @t54 () (@list @t52)) % 0.45/0.90 (define @t55 () (_ tptp.bit0 @t46)) % 0.45/0.90 (define @t56 () (@var "Z" tptp.real)) % 0.45/0.90 (define @t57 () (@var "W" tptp.num)) % 0.45/0.90 (define @t58 () (_ (_ tptp.times_times_num @t27) @t57)) % 0.45/0.90 (define @t59 () (_ tptp.numeral_numeral_real @t57)) % 0.45/0.90 (define @t60 () (@list @t27 @t57 @t56)) % 0.45/0.90 (define @t61 () (@var "Z" tptp.nat)) % 0.45/0.90 (define @t62 () (_ tptp.numeral_numeral_nat @t57)) % 0.45/0.90 (define @t63 () (_ tptp.numeral_numeral_nat @t27)) % 0.45/0.90 (define @t64 () (_ tptp.times_times_nat @t63)) % 0.45/0.90 (define @t65 () (@list @t27 @t57 @t61)) % 0.45/0.90 (define @t66 () (_ tptp.times_times_num @t52)) % 0.45/0.90 (define @t67 () (_ @t66 @t46)) % 0.45/0.90 (define @t68 () (_ tptp.numeral_numeral_real @t52)) % 0.45/0.90 (define @t69 () (@list @t52 @t46)) % 0.45/0.90 (define @t70 () (_ tptp.numeral_numeral_nat @t46)) % 0.45/0.90 (define @t71 () (_ tptp.numeral_numeral_nat @t52)) % 0.45/0.90 (define @t72 () (_ (_ tptp.ord_less_eq_num @t52) @t46)) % 0.45/0.90 (define @t73 () (_ tptp.abs_abs_real @t36)) % 0.45/0.90 (define @t74 () (_ tptp.abs_abs_real @t29)) % 0.45/0.90 (define @t75 () (_ (_ tptp.minus_minus_real @t49) @t74)) % 0.45/0.90 (define @t76 () (_ tptp.ord_less_eq_real @t75)) % 0.45/0.90 (define @t77 () (@list @t32 @t29)) % 0.45/0.90 (define @t78 () (= @t52 @t46)) % 0.45/0.90 (define @t79 () (= @t29 @t39)) % 0.45/0.90 (define @t80 () (_ tptp.plus_plus_real @t32)) % 0.45/0.90 (define @t81 () (_ @t80 @t39)) % 0.45/0.90 (define @t82 () (_ @t80 @t29)) % 0.45/0.90 (define @t83 () (= @t82 @t81)) % 0.45/0.90 (define @t84 () (@list @t32 @t29 @t39)) % 0.45/0.90 (define @t85 () (@var "C" tptp.nat)) % 0.45/0.90 (define @t86 () (@var "B" tptp.nat)) % 0.45/0.90 (define @t87 () (= @t86 @t85)) % 0.45/0.90 (define @t88 () (@var "A" tptp.nat)) % 0.45/0.90 (define @t89 () (_ tptp.plus_plus_nat @t88)) % 0.45/0.90 (define @t90 () (_ @t89 @t85)) % 0.45/0.90 (define @t91 () (_ @t89 @t86)) % 0.45/0.90 (define @t92 () (= @t91 @t90)) % 0.45/0.90 (define @t93 () (@list @t88 @t86 @t85)) % 0.45/0.90 (define @t94 () (_ tptp.plus_plus_real @t39)) % 0.45/0.90 (define @t95 () (_ @t94 @t32)) % 0.45/0.90 (define @t96 () (_ tptp.plus_plus_real @t29)) % 0.45/0.90 (define @t97 () (= (_ @t96 @t32) @t95)) % 0.45/0.90 (define @t98 () (@list @t29 @t32 @t39)) % 0.45/0.90 (define @t99 () (_ tptp.plus_plus_nat @t85)) % 0.45/0.90 (define @t100 () (_ @t99 @t88)) % 0.45/0.90 (define @t101 () (_ tptp.plus_plus_nat @t86)) % 0.45/0.90 (define @t102 () (= (_ @t101 @t88) @t100)) % 0.45/0.90 (define @t103 () (@list @t86 @t88 @t85)) % 0.45/0.90 (define @t104 () (_ tptp.ord_less_eq_real @t32)) % 0.45/0.90 (define @t105 () (_ @t104 @t29)) % 0.45/0.90 (define @t106 () (_ @t96 @t39)) % 0.45/0.90 (define @t107 () (_ tptp.ord_less_eq_real @t81)) % 0.45/0.90 (define @t108 () (_ @t107 @t106)) % 0.45/0.90 (define @t109 () (@list @t32 @t39 @t29)) % 0.45/0.90 (define @t110 () (_ tptp.ord_less_eq_nat @t88)) % 0.45/0.90 (define @t111 () (_ @t110 @t86)) % 0.45/0.90 (define @t112 () (_ @t101 @t85)) % 0.45/0.90 (define @t113 () (_ tptp.ord_less_eq_nat @t90)) % 0.45/0.90 (define @t114 () (_ @t113 @t112)) % 0.45/0.90 (define @t115 () (@list @t88 @t85 @t86)) % 0.45/0.90 (define @t116 () (_ @t94 @t29)) % 0.45/0.90 (define @t117 () (_ (_ tptp.ord_less_eq_real @t95) @t116)) % 0.45/0.90 (define @t118 () (@list @t39 @t32 @t29)) % 0.45/0.90 (define @t119 () (_ @t99 @t86)) % 0.45/0.90 (define @t120 () (_ tptp.ord_less_eq_nat @t100)) % 0.45/0.90 (define @t121 () (_ @t120 @t119)) % 0.45/0.90 (define @t122 () (@list @t85 @t88 @t86)) % 0.45/0.90 (define @t123 () (_ tptp.times_times_nat @t88)) % 0.45/0.90 (define @t124 () (@list @t88)) % 0.45/0.90 (define @t125 () (_ (_ tptp.plus_plus_num @t52) @t46)) % 0.45/0.90 (define @t126 () (_ (_ tptp.plus_plus_num @t27) @t57)) % 0.45/0.90 (define @t127 () (_ tptp.minus_minus_real @t82)) % 0.45/0.90 (define @t128 () (_ tptp.minus_minus_nat @t91)) % 0.45/0.90 (define @t129 () (@list @t88 @t86)) % 0.45/0.90 (define @t130 () (_ tptp.minus_minus_real @t81)) % 0.45/0.90 (define @t131 () (_ tptp.minus_minus_nat @t88)) % 0.45/0.90 (define @t132 () (_ @t131 @t86)) % 0.45/0.90 (define @t133 () (_ tptp.minus_minus_nat @t100)) % 0.45/0.90 (define @t134 () (_ tptp.plus_plus_real @t36)) % 0.45/0.90 (define @t135 () (= (_ @t134 @t29) @t32)) % 0.45/0.90 (define @t136 () (_ (_ tptp.plus_plus_real @t49) @t74)) % 0.45/0.90 (define @t137 () (@var "P2" (-> tptp.real Bool))) % 0.45/0.90 (define @t138 () (@var "A2" tptp.set_real)) % 0.45/0.90 (define @t139 () (@var "X" tptp.real)) % 0.45/0.90 (define @t140 () (@list @t139)) % 0.45/0.90 (define @t141 () (_ tptp.ord_less_eq_num @t53)) % 0.45/0.90 (define @t142 () (_ tptp.ord_less_eq_real @t29)) % 0.45/0.90 (define @t143 () (_ @t142 @t32)) % 0.45/0.90 (define @t144 () (@list @t29 @t32)) % 0.45/0.90 (define @t145 () (_ tptp.ord_less_eq_nat @t86)) % 0.45/0.90 (define @t146 () (_ @t145 @t88)) % 0.45/0.90 (define @t147 () (@list @t86 @t88)) % 0.45/0.90 (define @t148 () (_ tptp.times_times_real @t82)) % 0.45/0.90 (define @t149 () (_ tptp.times_times_nat @t86)) % 0.45/0.90 (define @t150 () (_ tptp.times_times_nat @t91)) % 0.45/0.90 (define @t151 () (= tptp.one @t46)) % 0.45/0.90 (define @t152 () (= @t46 tptp.one)) % 0.45/0.90 (define @t153 () (_ tptp.plus_plus_num tptp.one)) % 0.45/0.90 (define @t154 () (_ @t153 @t46)) % 0.45/0.90 (define @t155 () (_ tptp.plus_plus_nat tptp.one_one_nat)) % 0.45/0.90 (define @t156 () (_ (_ tptp.plus_plus_num @t46) tptp.one)) % 0.45/0.90 (define @t157 () (_ tptp.plus_plus_real @t47)) % 0.45/0.90 (define @t158 () (_ tptp.plus_plus_nat @t70)) % 0.45/0.90 (define @t159 () (_ tptp.numeral_numeral_nat @t12)) % 0.45/0.90 (define @t160 () (_ (_ tptp.ord_less_eq_num @t46) tptp.one)) % 0.45/0.90 (define @t161 () (_ @t80 @t106)) % 0.45/0.90 (define @t162 () (_ @t89 @t112)) % 0.45/0.90 (define @t163 () (@var "L" tptp.real)) % 0.45/0.90 (define @t164 () (@var "J" tptp.real)) % 0.45/0.90 (define @t165 () (_ tptp.plus_plus_real @t164)) % 0.45/0.90 (define @t166 () (_ @t165 @t163)) % 0.45/0.90 (define @t167 () (@var "K" tptp.real)) % 0.45/0.90 (define @t168 () (@var "I" tptp.real)) % 0.45/0.90 (define @t169 () (_ (_ tptp.plus_plus_real @t168) @t167)) % 0.45/0.90 (define @t170 () (= @t167 @t163)) % 0.45/0.90 (define @t171 () (= @t168 @t164)) % 0.45/0.90 (define @t172 () (@list @t168 @t164 @t167 @t163)) % 0.45/0.90 (define @t173 () (@var "L" tptp.nat)) % 0.45/0.90 (define @t174 () (@var "J" tptp.nat)) % 0.45/0.90 (define @t175 () (_ tptp.plus_plus_nat @t174)) % 0.45/0.90 (define @t176 () (_ @t175 @t173)) % 0.45/0.90 (define @t177 () (@var "K" tptp.nat)) % 0.45/0.90 (define @t178 () (@var "I" tptp.nat)) % 0.45/0.90 (define @t179 () (_ tptp.plus_plus_nat @t178)) % 0.45/0.90 (define @t180 () (_ @t179 @t177)) % 0.45/0.90 (define @t181 () (= @t177 @t173)) % 0.45/0.90 (define @t182 () (= @t178 @t174)) % 0.45/0.90 (define @t183 () (@list @t178 @t174 @t177 @t173)) % 0.45/0.90 (define @t184 () (@var "X2" tptp.real)) % 0.45/0.90 (define @t185 () (@list @t184)) % 0.45/0.90 (define @t186 () (@var "X2" tptp.nat)) % 0.45/0.90 (define @t187 () (@list @t186)) % 0.45/0.90 (define @t188 () (_ tptp.plus_plus_real @t167)) % 0.45/0.90 (define @t189 () (_ @t188 @t82)) % 0.45/0.90 (define @t190 () (@var "A2" tptp.real)) % 0.45/0.90 (define @t191 () (= @t190 (_ @t188 @t32))) % 0.45/0.90 (define @t192 () (@list @t190 @t167 @t32 @t29)) % 0.45/0.90 (define @t193 () (_ tptp.plus_plus_nat @t177)) % 0.45/0.90 (define @t194 () (_ @t193 @t91)) % 0.45/0.90 (define @t195 () (@var "A2" tptp.nat)) % 0.45/0.90 (define @t196 () (@var "B2" tptp.real)) % 0.45/0.90 (define @t197 () (@var "B2" tptp.nat)) % 0.45/0.90 (define @t198 () (@var "A3" tptp.real)) % 0.45/0.90 (define @t199 () (@var "B3" tptp.real)) % 0.45/0.90 (define @t200 () (@list @t198 @t199)) % 0.45/0.90 (define @t201 () (@var "A3" tptp.nat)) % 0.45/0.90 (define @t202 () (@var "B3" tptp.nat)) % 0.45/0.90 (define @t203 () (@list @t201 @t202)) % 0.45/0.90 (define @t204 () (@var "X2" tptp.num)) % 0.45/0.90 (define @t205 () (_ tptp.ord_less_eq_num @t204)) % 0.45/0.90 (define @t206 () (@list @t204)) % 0.45/0.90 (define @t207 () (_ tptp.numeral_numeral_real @t204)) % 0.45/0.90 (define @t208 () (_ tptp.numeral_numeral_nat @t204)) % 0.45/0.90 (define @t209 () (@var "S" tptp.real)) % 0.45/0.90 (define @t210 () (@var "P3" tptp.nat)) % 0.45/0.90 (define @t211 () (_ tptp.genClo1015804716orrect @t210)) % 0.45/0.90 (define @t212 () (@var "T" tptp.real)) % 0.45/0.90 (define @t213 () (_ @t211 @t212)) % 0.45/0.90 (define @t214 () (_ (_ tptp.ord_less_eq_real @t209) @t212)) % 0.45/0.90 (define @t215 () (@list @t210 @t209 @t212)) % 0.45/0.90 (define @t216 () (@var "C3" tptp.nat)) % 0.45/0.90 (define @t217 () (@var "D" tptp.real)) % 0.45/0.90 (define @t218 () (_ tptp.ord_less_eq_real @t39)) % 0.45/0.90 (define @t219 () (_ @t218 @t217)) % 0.45/0.90 (define @t220 () (@list @t32 @t29 @t39 @t217)) % 0.45/0.90 (define @t221 () (@var "D" tptp.nat)) % 0.45/0.90 (define @t222 () (_ tptp.ord_less_eq_nat @t85)) % 0.45/0.90 (define @t223 () (_ tptp.ord_less_eq_real @t169)) % 0.45/0.90 (define @t224 () (_ @t223 @t166)) % 0.45/0.90 (define @t225 () (_ (_ tptp.ord_less_eq_real @t167) @t163)) % 0.45/0.90 (define @t226 () (_ tptp.ord_less_eq_real @t168)) % 0.45/0.90 (define @t227 () (_ @t226 @t164)) % 0.45/0.90 (define @t228 () (_ tptp.ord_less_eq_nat @t180)) % 0.45/0.90 (define @t229 () (_ @t228 @t176)) % 0.45/0.90 (define @t230 () (_ tptp.ord_less_eq_nat @t177)) % 0.45/0.90 (define @t231 () (_ @t230 @t173)) % 0.45/0.90 (define @t232 () (_ tptp.ord_less_eq_nat @t178)) % 0.45/0.90 (define @t233 () (_ @t232 @t174)) % 0.45/0.90 (define @t234 () (@var "E" tptp.real)) % 0.45/0.90 (define @t235 () (_ tptp.plus_plus_real (_ @t30 @t234))) % 0.45/0.90 (define @t236 () (_ tptp.plus_plus_real (_ @t33 @t234))) % 0.45/0.90 (define @t237 () (@var "E" tptp.nat)) % 0.45/0.90 (define @t238 () (_ @t30 @t39)) % 0.45/0.90 (define @t239 () (_ @t33 @t39)) % 0.45/0.90 (define @t240 () (_ @t149 @t85)) % 0.45/0.90 (define @t241 () (_ @t123 @t85)) % 0.45/0.90 (define @t242 () (_ @t33 @t29)) % 0.45/0.90 (define @t243 () (_ @t123 @t86)) % 0.45/0.90 (define @t244 () (_ tptp.ord_less_eq_real tptp.one_one_real)) % 0.45/0.90 (define @t245 () (_ tptp.ord_less_eq_nat tptp.one_one_nat)) % 0.45/0.90 (define @t246 () (_ @t35 @t106)) % 0.45/0.90 (define @t247 () (_ (_ tptp.minus_minus_real @t36) @t39)) % 0.45/0.90 (define @t248 () (_ (_ tptp.minus_minus_nat @t132) @t85)) % 0.45/0.90 (define @t249 () (_ @t35 @t39)) % 0.45/0.90 (define @t250 () (_ (_ tptp.minus_minus_real @t249) @t29)) % 0.45/0.90 (define @t251 () (_ @t130 @t29)) % 0.45/0.90 (define @t252 () (_ tptp.minus_minus_real @t39)) % 0.45/0.90 (define @t253 () (_ @t252 @t29)) % 0.45/0.90 (define @t254 () (_ tptp.minus_minus_real @t184)) % 0.45/0.90 (define @t255 () (_ tptp.plus_plus_real @t184)) % 0.45/0.90 (define @t256 () (_ tptp.times_times_real @t184)) % 0.45/0.90 (define @t257 () (_ tptp.minus_minus_real (_ @t256 @t184))) % 0.45/0.90 (define @t258 () (_ @t33 @t238)) % 0.45/0.90 (define @t259 () (_ @t123 @t240)) % 0.45/0.90 (define @t260 () (= @t32 @t29)) % 0.45/0.90 (define @t261 () (= @t36 (_ @t252 @t217))) % 0.45/0.90 (define @t262 () (_ tptp.minus_minus_nat @t86)) % 0.45/0.90 (define @t263 () (_ @t262 @t88)) % 0.45/0.90 (define @t264 () (_ tptp.minus_minus_nat @t85)) % 0.45/0.90 (define @t265 () (_ tptp.plus_plus_nat @t263)) % 0.45/0.90 (define @t266 () (_ @t265 @t85)) % 0.45/0.90 (define @t267 () (_ (_ tptp.minus_minus_nat @t112) @t88)) % 0.45/0.90 (define @t268 () (_ @t99 @t263)) % 0.45/0.90 (define @t269 () (_ (_ tptp.minus_minus_nat @t119) @t88)) % 0.45/0.90 (define @t270 () (@var "N" tptp.real)) % 0.45/0.90 (define @t271 () (_ (_ tptp.minus_minus_real @t270) @t167)) % 0.45/0.90 (define @t272 () (_ (_ tptp.ord_less_eq_real @t270) (_ @t165 @t167))) % 0.45/0.90 (define @t273 () (_ @t223 @t270)) % 0.45/0.90 (define @t274 () (@var "N" tptp.nat)) % 0.45/0.90 (define @t275 () (_ tptp.minus_minus_nat @t274)) % 0.45/0.90 (define @t276 () (_ @t275 @t177)) % 0.45/0.90 (define @t277 () (_ @t175 @t177)) % 0.45/0.90 (define @t278 () (_ tptp.ord_less_eq_nat @t274)) % 0.45/0.90 (define @t279 () (_ @t278 @t277)) % 0.45/0.90 (define @t280 () (_ @t228 @t274)) % 0.45/0.90 (define @t281 () (@var "Y" tptp.real)) % 0.45/0.90 (define @t282 () (@list @t184 @t281)) % 0.45/0.90 (define @t283 () (_ @t43 @t32)) % 0.45/0.90 (define @t284 () (_ (_ tptp.plus_plus_real (_ (_ tptp.times_times_real @t283) @t234)) @t217)) % 0.45/0.90 (define @t285 () (_ @t235 @t217)) % 0.45/0.90 (define @t286 () (_ @t236 @t39)) % 0.45/0.90 (define @t287 () (= @t286 @t285)) % 0.45/0.90 (define @t288 () (@list @t32 @t234 @t39 @t29 @t217)) % 0.45/0.90 (define @t289 () (_ (_ tptp.plus_plus_real (_ @t37 @t234)) @t39)) % 0.45/0.90 (define @t290 () (_ tptp.numeral_numeral_real tptp.one)) % 0.45/0.90 (define @t291 () (_ tptp.numeral_numeral_nat tptp.one)) % 0.45/0.90 (define @t292 () (_ (_ tptp.ord_less_eq_real @t286) @t285)) % 0.45/0.90 (define @t293 () (_ @t43 @t217)) % 0.45/0.90 (define @t294 () (@var "R" tptp.real)) % 0.45/0.90 (define @t295 () (_ tptp.ord_less_eq_real @t184)) % 0.45/0.90 (define @t296 () (_ @t254 @t32)) % 0.45/0.90 (define @t297 () (_ tptp.ord_less_eq_real @t249)) % 0.45/0.90 (define @t298 () (_ @t262 @t85)) % 0.45/0.90 (define @t299 () (_ tptp.abs_abs_real @t283)) % 0.45/0.90 (define @t300 () (_ tptp.times_times_nat @t159)) % 0.45/0.90 (define @t301 () (_ (_ tptp.plus_plus_real @t56) @t56)) % 0.45/0.90 (define @t302 () (@list @t56)) % 0.45/0.90 (define @t303 () (_ (_ tptp.plus_plus_nat @t61) @t61)) % 0.45/0.90 (define @t304 () (@list @t61)) % 0.45/0.90 (define @t305 () (@var "V" tptp.real)) % 0.45/0.90 (define @t306 () (@var "U" tptp.real)) % 0.45/0.90 (define @t307 () (= @t184 @t281)) % 0.45/0.90 (define @t308 () (_ tptp.times_times_real (_ (_ tptp.minus_minus_real @t212) @t209))) % 0.45/0.90 (define @t309 () (_ tptp.genClo1161277105lle_PC @t210)) % 0.45/0.90 (define @t310 () (_ @t309 @t209)) % 0.45/0.90 (define @t311 () (_ @t309 @t212)) % 0.45/0.90 (define @t312 () (_ (_ tptp.minus_minus_real @t311) @t310)) % 0.45/0.90 (define @t313 () (and @t213 @t214)) % 0.45/0.90 (define @t314 () (_ tptp.minus_minus_real @t281)) % 0.45/0.90 (define @t315 () (@var "Y2" tptp.num)) % 0.45/0.90 (define @t316 () (@var "X22" tptp.num)) % 0.45/0.90 (define @t317 () (_ tptp.bit0 @t316)) % 0.45/0.90 (define @t318 () (_ tptp.ord_less_eq_nat @t186)) % 0.45/0.90 (define @t319 () (@list @t184 @t281 @t56)) % 0.45/0.90 (define @t320 () (@var "K" tptp.num)) % 0.45/0.90 (define @t321 () (@var "F2" (-> tptp.real tptp.real))) % 0.45/0.90 (define @t322 () (@var "Y3" tptp.real)) % 0.45/0.90 (define @t323 () (@var "X3" tptp.real)) % 0.45/0.90 (define @t324 () (_ tptp.ord_less_eq_real @t323)) % 0.45/0.90 (define @t325 () (_ @t324 @t322)) % 0.45/0.90 (define @t326 () (@list @t323 @t322)) % 0.45/0.90 (define @t327 () (forall @t326 (=> @t325 (_ (_ tptp.ord_less_eq_real (_ @t321 @t323)) (_ @t321 @t322))))) % 0.45/0.90 (define @t328 () (_ @t142 @t39)) % 0.45/0.90 (define @t329 () (=> @t328 (=> @t327 (_ @t104 (_ @t321 @t39))))) % 0.45/0.90 (define @t330 () (_ @t321 @t29)) % 0.45/0.90 (define @t331 () (@list @t32 @t321 @t29 @t39)) % 0.45/0.90 (define @t332 () (@var "C" tptp.num)) % 0.45/0.90 (define @t333 () (@var "F2" (-> tptp.num tptp.real))) % 0.45/0.90 (define @t334 () (@var "Y3" tptp.num)) % 0.45/0.90 (define @t335 () (@var "X3" tptp.num)) % 0.45/0.90 (define @t336 () (_ (_ tptp.ord_less_eq_num @t335) @t334)) % 0.45/0.90 (define @t337 () (@list @t335 @t334)) % 0.45/0.90 (define @t338 () (forall @t337 (=> @t336 (_ (_ tptp.ord_less_eq_real (_ @t333 @t335)) (_ @t333 @t334))))) % 0.45/0.90 (define @t339 () (@var "B" tptp.num)) % 0.45/0.90 (define @t340 () (_ tptp.ord_less_eq_num @t339)) % 0.45/0.90 (define @t341 () (_ @t340 @t332)) % 0.45/0.90 (define @t342 () (=> @t341 (=> @t338 (_ @t104 (_ @t333 @t332))))) % 0.45/0.90 (define @t343 () (_ @t333 @t339)) % 0.45/0.90 (define @t344 () (@list @t32 @t333 @t339 @t332)) % 0.45/0.90 (define @t345 () (@var "F2" (-> tptp.nat tptp.real))) % 0.45/0.90 (define @t346 () (@var "Y3" tptp.nat)) % 0.45/0.90 (define @t347 () (@var "X3" tptp.nat)) % 0.45/0.90 (define @t348 () (_ (_ tptp.ord_less_eq_nat @t347) @t346)) % 0.45/0.90 (define @t349 () (@list @t347 @t346)) % 0.45/0.90 (define @t350 () (forall @t349 (=> @t348 (_ (_ tptp.ord_less_eq_real (_ @t345 @t347)) (_ @t345 @t346))))) % 0.45/0.90 (define @t351 () (_ @t145 @t85)) % 0.45/0.90 (define @t352 () (=> @t351 (=> @t350 (_ @t104 (_ @t345 @t85))))) % 0.45/0.90 (define @t353 () (_ @t345 @t86)) % 0.45/0.90 (define @t354 () (@list @t32 @t345 @t86 @t85)) % 0.45/0.90 (define @t355 () (@var "F2" (-> tptp.real tptp.num))) % 0.45/0.90 (define @t356 () (@var "A" tptp.num)) % 0.45/0.90 (define @t357 () (_ tptp.ord_less_eq_num @t356)) % 0.45/0.90 (define @t358 () (forall @t326 (=> @t325 (_ (_ tptp.ord_less_eq_num (_ @t355 @t323)) (_ @t355 @t322))))) % 0.45/0.90 (define @t359 () (=> @t328 (=> @t358 (_ @t357 (_ @t355 @t39))))) % 0.45/0.90 (define @t360 () (_ @t355 @t29)) % 0.45/0.90 (define @t361 () (@list @t356 @t355 @t29 @t39)) % 0.45/0.90 (define @t362 () (@var "F2" (-> tptp.num tptp.num))) % 0.45/0.90 (define @t363 () (forall @t337 (=> @t336 (_ (_ tptp.ord_less_eq_num (_ @t362 @t335)) (_ @t362 @t334))))) % 0.45/0.90 (define @t364 () (=> @t341 (=> @t363 (_ @t357 (_ @t362 @t332))))) % 0.45/0.90 (define @t365 () (_ @t362 @t339)) % 0.45/0.90 (define @t366 () (@list @t356 @t362 @t339 @t332)) % 0.45/0.90 (define @t367 () (@var "F2" (-> tptp.nat tptp.num))) % 0.45/0.90 (define @t368 () (forall @t349 (=> @t348 (_ (_ tptp.ord_less_eq_num (_ @t367 @t347)) (_ @t367 @t346))))) % 0.45/0.90 (define @t369 () (=> @t351 (=> @t368 (_ @t357 (_ @t367 @t85))))) % 0.45/0.90 (define @t370 () (_ @t367 @t86)) % 0.45/0.90 (define @t371 () (@list @t356 @t367 @t86 @t85)) % 0.45/0.90 (define @t372 () (@var "F2" (-> tptp.real tptp.nat))) % 0.45/0.90 (define @t373 () (forall @t326 (=> @t325 (_ (_ tptp.ord_less_eq_nat (_ @t372 @t323)) (_ @t372 @t322))))) % 0.45/0.90 (define @t374 () (=> @t328 (=> @t373 (_ @t110 (_ @t372 @t39))))) % 0.45/0.90 (define @t375 () (_ @t372 @t29)) % 0.45/0.90 (define @t376 () (@list @t88 @t372 @t29 @t39)) % 0.45/0.90 (define @t377 () (@var "F2" (-> tptp.num tptp.nat))) % 0.45/0.90 (define @t378 () (forall @t337 (=> @t336 (_ (_ tptp.ord_less_eq_nat (_ @t377 @t335)) (_ @t377 @t334))))) % 0.45/0.90 (define @t379 () (=> @t341 (=> @t378 (_ @t110 (_ @t377 @t332))))) % 0.45/0.90 (define @t380 () (_ @t377 @t339)) % 0.45/0.90 (define @t381 () (@list @t88 @t377 @t339 @t332)) % 0.45/0.90 (define @t382 () (@var "F2" (-> tptp.nat tptp.nat))) % 0.45/0.90 (define @t383 () (forall @t349 (=> @t348 (_ (_ tptp.ord_less_eq_nat (_ @t382 @t347)) (_ @t382 @t346))))) % 0.45/0.90 (define @t384 () (=> @t351 (=> @t383 (_ @t110 (_ @t382 @t85))))) % 0.45/0.90 (define @t385 () (_ @t382 @t86)) % 0.45/0.90 (define @t386 () (@list @t88 @t382 @t86 @t85)) % 0.45/0.90 (define @t387 () (=> @t327 (_ (_ tptp.ord_less_eq_real (_ @t321 @t32)) @t39))) % 0.45/0.90 (define @t388 () (@list @t32 @t29 @t321 @t39)) % 0.45/0.90 (define @t389 () (=> @t358 (_ (_ tptp.ord_less_eq_num (_ @t355 @t32)) @t332))) % 0.45/0.90 (define @t390 () (@list @t32 @t29 @t355 @t332)) % 0.45/0.90 (define @t391 () (=> @t373 (_ (_ tptp.ord_less_eq_nat (_ @t372 @t32)) @t85))) % 0.45/0.90 (define @t392 () (@list @t32 @t29 @t372 @t85)) % 0.45/0.90 (define @t393 () (=> @t338 (_ (_ tptp.ord_less_eq_real (_ @t333 @t356)) @t39))) % 0.45/0.90 (define @t394 () (_ @t357 @t339)) % 0.45/0.90 (define @t395 () (@list @t356 @t339 @t333 @t39)) % 0.45/0.90 (define @t396 () (=> @t363 (_ (_ tptp.ord_less_eq_num (_ @t362 @t356)) @t332))) % 0.45/0.90 (define @t397 () (@list @t356 @t339 @t362 @t332)) % 0.45/0.90 (define @t398 () (=> @t378 (_ (_ tptp.ord_less_eq_nat (_ @t377 @t356)) @t85))) % 0.45/0.90 (define @t399 () (@list @t356 @t339 @t377 @t85)) % 0.45/0.90 (define @t400 () (=> @t350 (_ (_ tptp.ord_less_eq_real (_ @t345 @t88)) @t39))) % 0.45/0.90 (define @t401 () (@list @t88 @t86 @t345 @t39)) % 0.45/0.90 (define @t402 () (=> @t368 (_ (_ tptp.ord_less_eq_num (_ @t367 @t88)) @t332))) % 0.45/0.90 (define @t403 () (@list @t88 @t86 @t367 @t332)) % 0.45/0.90 (define @t404 () (=> @t383 (_ (_ tptp.ord_less_eq_nat (_ @t382 @t88)) @t85))) % 0.45/0.90 (define @t405 () (@list @t88 @t86 @t382 @t85)) % 0.45/0.90 (define @t406 () (not @t105)) % 0.45/0.90 (define @t407 () (@var "Y5" tptp.real)) % 0.45/0.90 (define @t408 () (@var "Z2" tptp.real)) % 0.45/0.90 (define @t409 () (@var "Y4" tptp.real)) % 0.45/0.90 (define @t410 () (@var "X" tptp.num)) % 0.45/0.90 (define @t411 () (@var "Y5" tptp.num)) % 0.45/0.90 (define @t412 () (@var "Z2" tptp.num)) % 0.45/0.90 (define @t413 () (@var "Y4" tptp.num)) % 0.45/0.90 (define @t414 () (@var "X" tptp.nat)) % 0.45/0.90 (define @t415 () (@var "Y5" tptp.nat)) % 0.45/0.90 (define @t416 () (@var "Z2" tptp.nat)) % 0.45/0.90 (define @t417 () (@var "Y4" tptp.nat)) % 0.45/0.90 (define @t418 () (_ tptp.ord_less_eq_real @t281)) % 0.45/0.90 (define @t419 () (_ @t418 @t184)) % 0.45/0.90 (define @t420 () (_ @t295 @t281)) % 0.45/0.90 (define @t421 () (@var "Y" tptp.num)) % 0.45/0.90 (define @t422 () (= @t204 @t421)) % 0.45/0.90 (define @t423 () (_ tptp.ord_less_eq_num @t421)) % 0.45/0.90 (define @t424 () (_ @t423 @t204)) % 0.45/0.90 (define @t425 () (_ @t205 @t421)) % 0.45/0.90 (define @t426 () (@list @t204 @t421)) % 0.45/0.90 (define @t427 () (@var "Y" tptp.nat)) % 0.45/0.90 (define @t428 () (= @t186 @t427)) % 0.45/0.90 (define @t429 () (_ tptp.ord_less_eq_nat @t427)) % 0.45/0.90 (define @t430 () (_ @t429 @t186)) % 0.45/0.90 (define @t431 () (_ @t318 @t427)) % 0.45/0.90 (define @t432 () (@list @t186 @t427)) % 0.45/0.90 (define @t433 () (not @t420)) % 0.45/0.90 (define @t434 () (not @t425)) % 0.45/0.90 (define @t435 () (not @t431)) % 0.45/0.90 (define @t436 () (_ @t104 @t39)) % 0.45/0.90 (define @t437 () (=> @t328 @t436)) % 0.45/0.90 (define @t438 () (forall @t84 (=> @t105 @t437))) % 0.45/0.90 (define @t439 () (_ @t110 @t85)) % 0.45/0.90 (define @t440 () (_ tptp.ord_less_eq_real @t56)) % 0.45/0.90 (define @t441 () (_ @t440 @t184)) % 0.45/0.90 (define @t442 () (_ @t418 @t56)) % 0.45/0.90 (define @t443 () (_ @t440 @t281)) % 0.45/0.90 (define @t444 () (_ @t295 @t56)) % 0.45/0.90 (define @t445 () (@var "Z" tptp.num)) % 0.45/0.90 (define @t446 () (_ tptp.ord_less_eq_num @t445)) % 0.45/0.90 (define @t447 () (_ @t446 @t204)) % 0.45/0.90 (define @t448 () (_ @t423 @t445)) % 0.45/0.90 (define @t449 () (_ @t446 @t421)) % 0.45/0.90 (define @t450 () (_ @t205 @t445)) % 0.45/0.90 (define @t451 () (_ tptp.ord_less_eq_nat @t61)) % 0.45/0.90 (define @t452 () (_ @t451 @t186)) % 0.45/0.90 (define @t453 () (_ @t429 @t61)) % 0.45/0.90 (define @t454 () (_ @t451 @t427)) % 0.45/0.90 (define @t455 () (_ @t318 @t61)) % 0.45/0.90 (define @t456 () (@var "Z3" tptp.real)) % 0.45/0.90 (define @t457 () (@var "S3" tptp.set_real)) % 0.45/0.90 (define @t458 () (forall (@list @t323) (=> (_ (_ tptp.member_real @t323) @t457) (_ @t324 @t456)))) % 0.45/0.90 (define @t459 () (@list @t456)) % 0.45/0.90 (define @t460 () (@var "X4" tptp.real)) % 0.45/0.90 (define @t461 () (_ (_ tptp.member_real @t460) @t457)) % 0.45/0.90 (define @t462 () (@list @t460)) % 0.45/0.90 (define @t463 () (@var "M" tptp.nat)) % 0.45/0.90 (define @t464 () (@var "U" tptp.nat)) % 0.45/0.90 (define @t465 () (_ tptp.minus_minus_nat @t178)) % 0.45/0.90 (define @t466 () (_ @t465 @t174)) % 0.45/0.90 (define @t467 () (_ (_ tptp.plus_plus_nat (_ (_ tptp.times_times_nat @t466) @t464)) @t463)) % 0.45/0.90 (define @t468 () (_ tptp.times_times_nat @t174)) % 0.45/0.90 (define @t469 () (_ tptp.plus_plus_nat (_ @t468 @t464))) % 0.45/0.90 (define @t470 () (_ @t469 @t274)) % 0.45/0.90 (define @t471 () (_ tptp.times_times_nat @t178)) % 0.45/0.90 (define @t472 () (_ tptp.plus_plus_nat (_ @t471 @t464))) % 0.45/0.90 (define @t473 () (_ @t472 @t463)) % 0.45/0.90 (define @t474 () (= @t473 @t470)) % 0.45/0.90 (define @t475 () (_ tptp.ord_less_eq_nat @t174)) % 0.45/0.90 (define @t476 () (_ @t475 @t178)) % 0.45/0.90 (define @t477 () (@list @t174 @t178 @t464 @t463 @t274)) % 0.45/0.90 (define @t478 () (_ tptp.minus_minus_nat @t174)) % 0.45/0.90 (define @t479 () (_ @t478 @t178)) % 0.45/0.90 (define @t480 () (_ (_ tptp.plus_plus_nat (_ (_ tptp.times_times_nat @t479) @t464)) @t274)) % 0.45/0.90 (define @t481 () (@list @t178 @t174 @t464 @t463 @t274)) % 0.45/0.90 (define @t482 () (_ (_ tptp.ord_less_eq_nat @t473) @t470)) % 0.45/0.90 (define @t483 () (_ tptp.ord_less_eq_nat @t463)) % 0.45/0.90 (define @t484 () (_ (_ tptp.minus_minus_nat @t473) @t470)) % 0.45/0.90 (define @t485 () (_ tptp.minus_minus_nat @t463)) % 0.45/0.90 (define @t486 () (_ @t179 @t174)) % 0.45/0.90 (define @t487 () (and (= @t463 tptp.one_one_nat) (= @t274 tptp.one_one_nat))) % 0.45/0.90 (define @t488 () (_ tptp.times_times_nat @t463)) % 0.45/0.90 (define @t489 () (_ @t488 @t274)) % 0.45/0.90 (define @t490 () (@list @t463 @t274)) % 0.45/0.90 (define @t491 () (_ @t483 @t274)) % 0.45/0.90 (define @t492 () (@list @t177 @t463 @t274)) % 0.45/0.90 (define @t493 () (_ (_ tptp.minus_minus_nat @t466) @t177)) % 0.45/0.90 (define @t494 () (@list @t178 @t174 @t177)) % 0.45/0.90 (define @t495 () (_ @t478 @t177)) % 0.45/0.90 (define @t496 () (_ @t230 @t174)) % 0.45/0.90 (define @t497 () (@list @t177 @t174 @t178)) % 0.45/0.90 (define @t498 () (= @t463 @t274)) % 0.45/0.90 (define @t499 () (_ @t485 @t177)) % 0.45/0.90 (define @t500 () (_ @t230 @t274)) % 0.45/0.90 (define @t501 () (_ @t230 @t463)) % 0.45/0.90 (define @t502 () (_ @t485 @t274)) % 0.45/0.90 (define @t503 () (@list @t463 @t274 @t173)) % 0.45/0.90 (define @t504 () (_ tptp.minus_minus_nat @t173)) % 0.45/0.90 (define @t505 () (@var "Y6" tptp.nat)) % 0.45/0.90 (define @t506 () (@var "P2" (-> tptp.nat Bool))) % 0.45/0.90 (define @t507 () (_ @t278 @t463)) % 0.45/0.90 (define @t508 () (_ tptp.times_times_nat @t177)) % 0.45/0.90 (define @t509 () (_ tptp.ord_less_eq_nat (_ @t471 @t177))) % 0.45/0.90 (define @t510 () (_ @t488 @t463)) % 0.45/0.90 (define @t511 () (@list @t463)) % 0.45/0.90 (define @t512 () (_ (_ tptp.ord_less_eq_real @t10) @t16)) % 0.45/0.90 (define @t513 () (not @t512)) % 0.45/0.90 (define @t514 () (@var "P" tptp.nat)) % 0.45/0.90 (define @t515 () (@var "G" (-> tptp.nat tptp.real))) % 0.45/0.90 (define @t516 () (@var "F" (-> tptp.nat tptp.real))) % 0.45/0.90 (define @t517 () (@var "Ppred" (-> tptp.nat Bool))) % 0.45/0.90 (define @t518 () (lambda (@list @t516 @t515 @t139 @t517) (forall (@list @t514) (=> (_ @t517 @t514) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t516 @t514)) (_ @t515 @t514)))) @t139))))) % 0.45/0.90 (define @t519 () (@var "C2" tptp.nat)) % 0.45/0.90 (define @t520 () (lambda @t203 (exists (@list @t519) (= @t202 (_ (_ tptp.plus_plus_nat @t201) @t519))))) % 0.45/0.90 (define @t521 () (@var "S2" tptp.real)) % 0.45/0.90 (define @t522 () (@var "T2" tptp.real)) % 0.45/0.90 (define @t523 () (_ tptp.times_times_real (_ (_ tptp.minus_minus_real @t522) @t521))) % 0.45/0.90 (define @t524 () (@var "C4" (-> tptp.nat tptp.real tptp.real))) % 0.45/0.90 (define @t525 () (_ @t524 @t514)) % 0.45/0.90 (define @t526 () (_ (_ tptp.minus_minus_real (_ @t525 @t522)) (_ @t525 @t521))) % 0.45/0.90 (define @t527 () (and (_ (_ tptp.genClo1015804716orrect @t514) @t522) (_ (_ tptp.ord_less_eq_real @t521) @t522))) % 0.45/0.90 (define @t528 () (@list @t514 @t521 @t522)) % 0.45/0.90 (define @t529 () (@list @t524)) % 0.45/0.90 (define @t530 () (lambda @t529 (forall @t528 (=> @t527 (_ (_ tptp.ord_less_eq_real @t526) (_ @t523 @t21)))))) % 0.45/0.90 (define @t531 () (lambda @t529 (forall @t528 (=> @t527 (_ (_ tptp.ord_less_eq_real (_ @t523 @t17)) @t526))))) % 0.45/0.90 (define @t532 () (@var "M2" tptp.nat)) % 0.45/0.90 (define @t533 () (@var "L2" tptp.nat)) % 0.45/0.90 (define @t534 () (lambda (@list @t516 @t139 @t517) (forall (@list @t533 @t532) (=> (and (_ @t517 @t533) (_ @t517 @t532)) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t516 @t533)) (_ @t516 @t532)))) @t139))))) % 0.45/0.90 (define @t535 () (lambda @t140 (_ (_ tptp.plus_plus_real @t139) @t139))) % 0.45/0.90 (define @t536 () (tptp.ord_less_eq_real @t32 @t39)) % 0.45/0.90 (define @t537 () (tptp.ord_less_eq_real @t29 @t39)) % 0.45/0.90 (define @t538 () (not @t328)) % 0.45/0.90 (define @t539 () (tptp.ord_less_eq_real @t32 @t29)) % 0.45/0.90 (define @t540 () (or @t406 @t538 @t436)) % 0.45/0.90 (define @t541 () (tptp.minus_minus_real tptp.t tptp.s)) % 0.45/0.90 (define @t542 () (tptp.bit0 tptp.one)) % 0.45/0.90 (define @t543 () (tptp.numeral_numeral_real @t542)) % 0.45/0.90 (define @t544 () (tptp.times_times_real @t543 tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t545 () (tptp.times_times_real @t544 @t541)) % 0.45/0.90 (define @t546 () (tptp.d tptp.q tptp.s)) % 0.45/0.90 (define @t547 () (tptp.d tptp.q tptp.t)) % 0.45/0.90 (define @t548 () (tptp.minus_minus_real @t547 @t546)) % 0.45/0.90 (define @t549 () (tptp.c tptp.p tptp.s)) % 0.45/0.90 (define @t550 () (tptp.c tptp.p tptp.t)) % 0.45/0.90 (define @t551 () (tptp.minus_minus_real @t550 @t549)) % 0.45/0.90 (define @t552 () (tptp.minus_minus_real @t551 @t548)) % 0.45/0.90 (define @t553 () (tptp.abs_abs_real @t552)) % 0.45/0.90 (define @t554 () (tptp.ord_less_eq_real @t553 @t545)) % 0.45/0.90 (define @t555 () (tptp.numeral_numeral_real tptp.one)) % 0.45/0.90 (define @t556 () (tptp.minus_minus_real @t555 tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t557 () (tptp.times_times_real @t541 @t556)) % 0.45/0.90 (define @t558 () (tptp.plus_plus_real @t555 tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t559 () (tptp.times_times_real @t541 @t558)) % 0.45/0.90 (define @t560 () (tptp.minus_minus_real @t559 @t557)) % 0.45/0.90 (define @t561 () (_ (_ tptp.minus_minus_real @t290) tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t562 () (_ @t18 @t561)) % 0.45/0.90 (define @t563 () (_ (_ tptp.plus_plus_real @t290) tptp.genClo1144207539le_rho)) % 0.45/0.90 (define @t564 () (_ @t18 @t563)) % 0.45/0.90 (define @t565 () (_ tptp.minus_minus_real @t559)) % 0.45/0.90 (define @t566 () (_ tptp.minus_minus_real @t564)) % 0.45/0.90 (define @t567 () (_ @t566 @t562)) % 0.45/0.90 (define @t568 () (_ tptp.times_times_real @t541)) % 0.45/0.90 (define @t569 () (tptp.ord_less_eq_real @t552 @t560)) % 0.45/0.90 (define @t570 () (_ @t566 @t4)) % 0.45/0.90 (define @t571 () (tptp.minus_minus_real @t559 @t548)) % 0.45/0.90 (define @t572 () (tptp.ord_less_eq_real @t552 @t571)) % 0.45/0.90 (define @t573 () (tptp.ord_less_eq_real @t571 @t560)) % 0.45/0.90 (define @t574 () (not @t573)) % 0.45/0.90 (define @t575 () (not @t572)) % 0.45/0.90 (define @t576 () (or @t575 @t574 @t569)) % 0.45/0.90 (define @t577 () (not @t576)) % 0.45/0.90 (define @t578 () (forall @t84 (or (not @t539) (not @t537) @t536))) % 0.45/0.90 (assume @p1 (_ tptp.genClo2108747023bound2 tptp.d)) % 0.45/0.90 (assume @p2 (_ tptp.genClo2108747022bound1 tptp.c)) % 0.45/0.90 (assume @p3 (_ (_ tptp.ord_less_eq_real tptp.s) tptp.t)) % 0.45/0.90 (assume @p4 (= @t10 @t9)) % 0.45/0.90 (assume @p5 @t24) % 0.45/0.90 (assume @p6 (_ (_ tptp.ord_less_eq_real @t25) @t23)) % 0.45/0.90 (assume @p7 (_ (_ tptp.genClo1015804716orrect tptp.q) tptp.t)) % 0.45/0.90 (assume @p8 (_ (_ tptp.ord_less_eq_real @t4) @t8)) % 0.45/0.90 (assume @p9 (_ (_ tptp.genClo1015804716orrect tptp.p) tptp.t)) % 0.45/0.90 (assume @p10 (_ @t26 @t25)) % 0.45/0.90 (assume @p11 (_ (_ tptp.ord_less_eq_real @t19) @t4)) % 0.45/0.90 (assume @p12 (forall @t38 (= (_ @t37 @t28) (_ (_ tptp.minus_minus_real @t34) @t31)))) % 0.45/0.90 (assume @p13 (forall @t45 (= (_ @t40 @t44) (_ (_ tptp.minus_minus_real @t42) @t41)))) % 0.45/0.90 (assume @p14 (forall @t48 (= (_ tptp.abs_abs_real @t47) @t47))) % 0.45/0.90 (assume @p15 (forall @t51 (= (_ @t50 @t49) (_ @t33 @t32)))) % 0.45/0.90 (assume @p16 (forall @t54 (not (= @t53 tptp.one)))) % 0.45/0.90 (assume @p17 (forall @t48 (not (= tptp.one @t55)))) % 0.45/0.90 (assume @p18 (forall @t60 (= (_ @t40 (_ (_ tptp.times_times_real @t59) @t56)) (_ (_ tptp.times_times_real (_ tptp.numeral_numeral_real @t58)) @t56)))) % 0.45/0.90 (assume @p19 (forall @t65 (= (_ @t64 (_ (_ tptp.times_times_nat @t62) @t61)) (_ (_ tptp.times_times_nat (_ tptp.numeral_numeral_nat @t58)) @t61)))) % 0.45/0.90 (assume @p20 (forall @t69 (= (_ (_ tptp.times_times_real @t68) @t47) (_ tptp.numeral_numeral_real @t67)))) % 0.45/0.90 (assume @p21 (forall @t69 (= (_ (_ tptp.times_times_nat @t71) @t70) (_ tptp.numeral_numeral_nat @t67)))) % 0.45/0.90 (assume @p22 (forall @t69 (= (_ (_ tptp.ord_less_eq_real @t68) @t47) @t72))) % 0.45/0.90 (assume @p23 (forall @t69 (= (_ (_ tptp.ord_less_eq_nat @t71) @t70) @t72))) % 0.45/0.90 (assume @p24 (forall @t77 (_ @t76 @t73))) % 0.45/0.90 (assume @p25 (forall @t77 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t75)) @t73))) % 0.45/0.90 (assume @p26 (forall @t69 (= (= @t68 @t47) @t78))) % 0.45/0.90 (assume @p27 (forall @t69 (= (= @t71 @t70) @t78))) % 0.45/0.90 (assume @p28 (forall @t84 (= @t83 @t79))) % 0.45/0.90 (assume @p29 (forall @t93 (= @t92 @t87))) % 0.45/0.90 (assume @p30 (forall @t98 (= @t97 @t79))) % 0.45/0.90 (assume @p31 (forall @t103 (= @t102 @t87))) % 0.45/0.90 (assume @p32 (forall @t69 (= (= @t53 @t55) @t78))) % 0.45/0.90 (assume @p33 (forall @t51 (= (_ tptp.abs_abs_real @t49) @t49))) % 0.45/0.90 (assume @p34 (forall @t109 (= @t108 @t105))) % 0.45/0.90 (assume @p35 (forall @t115 (= @t114 @t111))) % 0.45/0.90 (assume @p36 (forall @t118 (= @t117 @t105))) % 0.45/0.90 (assume @p37 (forall @t122 (= @t121 @t111))) % 0.45/0.90 (assume @p38 (forall @t51 (= (_ @t33 tptp.one_one_real) @t32))) % 0.45/0.90 (assume @p39 (forall @t124 (= (_ @t123 tptp.one_one_nat) @t88))) % 0.45/0.90 (assume @p40 (forall @t51 (= (_ (_ tptp.times_times_real tptp.one_one_real) @t32) @t32))) % 0.45/0.90 (assume @p41 (forall @t124 (= (_ (_ tptp.times_times_nat tptp.one_one_nat) @t88) @t88))) % 0.45/0.90 (assume @p42 (forall @t69 (= (_ (_ tptp.plus_plus_real @t68) @t47) (_ tptp.numeral_numeral_real @t125)))) % 0.45/0.90 (assume @p43 (forall @t69 (= (_ (_ tptp.plus_plus_nat @t71) @t70) (_ tptp.numeral_numeral_nat @t125)))) % 0.45/0.90 (assume @p44 (forall @t60 (= (_ (_ tptp.plus_plus_real @t28) (_ (_ tptp.plus_plus_real @t59) @t56)) (_ (_ tptp.plus_plus_real (_ tptp.numeral_numeral_real @t126)) @t56)))) % 0.45/0.90 (assume @p45 (forall @t65 (= (_ (_ tptp.plus_plus_nat @t63) (_ (_ tptp.plus_plus_nat @t62) @t61)) (_ (_ tptp.plus_plus_nat (_ tptp.numeral_numeral_nat @t126)) @t61)))) % 0.45/0.90 (assume @p46 (forall @t77 (= (_ @t127 @t29) @t32))) % 0.45/0.90 (assume @p47 (forall @t129 (= (_ @t128 @t86) @t88))) % 0.45/0.90 (assume @p48 (forall @t109 (= (_ @t130 @t106) @t36))) % 0.45/0.90 (assume @p49 (forall @t115 (= (_ (_ tptp.minus_minus_nat @t90) @t112) @t132))) % 0.45/0.90 (assume @p50 (forall @t77 (= (_ @t127 @t32) @t29))) % 0.45/0.90 (assume @p51 (forall @t129 (= (_ @t128 @t88) @t86))) % 0.45/0.90 (assume @p52 (forall @t118 (= (_ (_ tptp.minus_minus_real @t95) @t116) @t36))) % 0.45/0.90 (assume @p53 (forall @t122 (= (_ @t133 @t119) @t132))) % 0.45/0.90 (assume @p54 (forall @t77 @t135)) % 0.45/0.90 (assume @p55 (forall @t77 (= (_ tptp.abs_abs_real @t136) @t136))) % 0.45/0.90 (assume @p56 (= (_ tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real)) % 0.45/0.90 (assume @p57 (forall (@list @t32 @t137) (= (_ (_ tptp.member_real @t32) (_ tptp.collect_real @t137)) (_ @t137 @t32)))) % 0.45/0.90 (assume @p58 (forall (@list @t138) (= (_ tptp.collect_real (lambda @t140 (_ (_ tptp.member_real @t139) @t138))) @t138))) % 0.45/0.90 (assume @p59 (forall @t69 (= (_ (_ tptp.times_times_num @t53) @t55) (_ tptp.bit0 (_ tptp.bit0 @t67))))) % 0.45/0.90 (assume @p60 (forall @t54 (= (_ @t66 tptp.one) @t52))) % 0.45/0.90 (assume @p61 (forall @t48 (= (_ (_ tptp.times_times_num tptp.one) @t46) @t46))) % 0.45/0.90 (assume @p62 (forall @t69 (= (_ @t141 @t55) @t72))) % 0.45/0.90 (assume @p63 (forall @t48 (_ (_ tptp.ord_less_eq_num tptp.one) @t46))) % 0.45/0.90 (assume @p64 (forall @t144 (=> @t143 @t135))) % 0.45/0.90 (assume @p65 (forall @t147 (=> @t146 (= (_ (_ tptp.plus_plus_nat @t132) @t86) @t88)))) % 0.45/0.90 (assume @p66 (forall @t144 (=> @t143 (= (_ @t96 @t36) @t32)))) % 0.45/0.90 (assume @p67 (forall @t147 (=> @t146 (= (_ @t101 @t132) @t88)))) % 0.45/0.90 (assume @p68 (forall @t38 (= (_ @t148 @t28) (_ (_ tptp.plus_plus_real @t34) @t31)))) % 0.45/0.90 (assume @p69 (forall (@list @t88 @t86 @t27) (= (_ @t150 @t63) (_ (_ tptp.plus_plus_nat (_ @t123 @t63)) (_ @t149 @t63))))) % 0.45/0.90 (assume @p70 (forall @t45 (= (_ @t40 @t106) (_ (_ tptp.plus_plus_real @t42) @t41)))) % 0.45/0.90 (assume @p71 (forall (@list @t27 @t86 @t85) (= (_ @t64 @t112) (_ (_ tptp.plus_plus_nat (_ @t64 @t86)) (_ @t64 @t85))))) % 0.45/0.90 (assume @p72 (forall @t48 (= (= tptp.one_one_real @t47) @t151))) % 0.45/0.90 (assume @p73 (forall @t48 (= (= tptp.one_one_nat @t70) @t151))) % 0.45/0.90 (assume @p74 (forall @t48 (= (= @t47 tptp.one_one_real) @t152))) % 0.45/0.90 (assume @p75 (forall @t48 (= (= @t70 tptp.one_one_nat) @t152))) % 0.45/0.90 (assume @p76 (forall @t48 (= (_ (_ tptp.times_times_num @t12) @t46) @t55))) % 0.45/0.90 (assume @p77 (forall @t54 (not (_ @t141 tptp.one)))) % 0.45/0.90 (assume @p78 (forall @t48 (= (_ @t20 @t47) (_ tptp.numeral_numeral_real @t154)))) % 0.45/0.90 (assume @p79 (forall @t48 (= (_ @t155 @t70) (_ tptp.numeral_numeral_nat @t154)))) % 0.45/0.90 (assume @p80 (forall @t48 (= (_ @t157 tptp.one_one_real) (_ tptp.numeral_numeral_real @t156)))) % 0.45/0.90 (assume @p81 (forall @t48 (= (_ @t158 tptp.one_one_nat) (_ tptp.numeral_numeral_nat @t156)))) % 0.45/0.90 (assume @p82 (= (_ @t20 tptp.one_one_real) @t13)) % 0.45/0.90 (assume @p83 (= (_ @t155 tptp.one_one_nat) @t159)) % 0.45/0.90 (assume @p84 (forall @t48 (= (_ (_ tptp.ord_less_eq_real @t47) tptp.one_one_real) @t160))) % 0.45/0.90 (assume @p85 (forall @t48 (= (_ (_ tptp.ord_less_eq_nat @t70) tptp.one_one_nat) @t160))) % 0.45/0.90 (assume @p86 (forall @t84 (= (_ (_ tptp.plus_plus_real @t82) @t39) @t161))) % 0.45/0.90 (assume @p87 (forall @t93 (= (_ (_ tptp.plus_plus_nat @t91) @t85) @t162))) % 0.45/0.90 (assume @p88 (forall @t172 (=> (and @t171 @t170) (= @t169 @t166)))) % 0.45/0.90 (assume @p89 (forall @t183 (=> (and @t182 @t181) (= @t180 @t176)))) % 0.45/0.90 (assume @p90 (forall @t185 (= (= tptp.one_one_real @t184) (= @t184 tptp.one_one_real)))) % 0.45/0.90 (assume @p91 (forall @t187 (= (= tptp.one_one_nat @t186) (= @t186 tptp.one_one_nat)))) % 0.45/0.90 (assume @p92 (forall @t192 (=> @t191 (= (_ (_ tptp.plus_plus_real @t190) @t29) @t189)))) % 0.45/0.90 (assume @p93 (forall (@list @t195 @t177 @t88 @t86) (=> (= @t195 (_ @t193 @t88)) (= (_ (_ tptp.plus_plus_nat @t195) @t86) @t194)))) % 0.45/0.90 (assume @p94 (forall (@list @t196 @t167 @t29 @t32) (=> (= @t196 (_ @t188 @t29)) (= (_ @t80 @t196) @t189)))) % 0.45/0.90 (assume @p95 (forall (@list @t197 @t177 @t86 @t88) (=> (= @t197 (_ @t193 @t86)) (= (_ @t89 @t197) @t194)))) % 0.45/0.90 (assume @p96 (= tptp.plus_plus_real (lambda @t200 (_ (_ tptp.plus_plus_real @t199) @t198)))) % 0.45/0.90 (assume @p97 (= tptp.plus_plus_nat (lambda @t203 (_ (_ tptp.plus_plus_nat @t202) @t201)))) % 0.45/0.90 (assume @p98 (forall @t98 (= (_ @t96 @t81) @t161))) % 0.45/0.90 (assume @p99 (forall @t103 (= (_ @t101 @t90) @t162))) % 0.45/0.90 (assume @p100 (forall @t84 (=> @t83 @t79))) % 0.45/0.90 (assume @p101 (forall @t93 (=> @t92 @t87))) % 0.45/0.90 (assume @p102 (forall @t98 (=> @t97 @t79))) % 0.45/0.90 (assume @p103 (forall @t103 (=> @t102 @t87))) % 0.45/0.90 (assume @p104 (forall @t206 (= (_ @t205 tptp.one) (= @t204 tptp.one)))) % 0.45/0.90 (assume @p105 (forall @t206 (= (_ @t20 @t207) (_ (_ tptp.plus_plus_real @t207) tptp.one_one_real)))) % 0.45/0.90 (assume @p106 (forall @t206 (= (_ @t155 @t208) (_ (_ tptp.plus_plus_nat @t208) tptp.one_one_nat)))) % 0.45/0.90 (assume @p107 (forall @t215 (=> (and @t214 @t213) (_ @t211 @t209)))) % 0.45/0.90 (assume @p108 (forall @t109 (=> @t108 @t105))) % 0.45/0.90 (assume @p109 (forall @t115 (=> @t114 @t111))) % 0.45/0.90 (assume @p110 (forall @t118 (=> @t117 @t105))) % 0.45/0.90 (assume @p111 (forall @t122 (=> @t121 @t111))) % 0.45/0.90 (assume @p112 (forall @t84 (=> @t105 @t108))) % 0.45/0.90 (assume @p113 (forall @t93 (=> @t111 @t114))) % 0.45/0.90 (assume @p114 (forall @t129 (=> @t111 (not (forall (@list @t216) (not (= @t86 (_ @t89 @t216)))))))) % 0.45/0.90 (assume @p115 (forall @t84 (=> @t105 @t117))) % 0.45/0.90 (assume @p116 (forall @t93 (=> @t111 @t121))) % 0.45/0.90 (assume @p117 (forall @t220 (=> @t105 (=> @t219 (_ @t107 (_ @t96 @t217)))))) % 0.45/0.90 (assume @p118 (forall (@list @t88 @t86 @t85 @t221) (=> @t111 (=> (_ @t222 @t221) (_ @t113 (_ @t101 @t221)))))) % 0.45/0.90 (assume @p119 (forall @t172 (=> (and @t227 @t225) @t224))) % 0.45/0.90 (assume @p120 (forall @t183 (=> (and @t233 @t231) @t229))) % 0.45/0.90 (assume @p121 (forall @t172 (=> (and @t171 @t225) @t224))) % 0.45/0.90 (assume @p122 (forall @t183 (=> (and @t182 @t231) @t229))) % 0.45/0.90 (assume @p123 (forall @t172 (=> (and @t227 @t170) @t224))) % 0.45/0.90 (assume @p124 (forall @t183 (=> (and @t233 @t181) @t229))) % 0.45/0.90 (assume @p125 (forall (@list @t32 @t234 @t29 @t39) (= (_ @t236 (_ @t235 @t39)) (_ (_ tptp.plus_plus_real (_ @t148 @t234)) @t39)))) % 0.45/0.90 (assume @p126 (forall (@list @t88 @t237 @t86 @t85) (= (_ (_ tptp.plus_plus_nat (_ @t123 @t237)) (_ (_ tptp.plus_plus_nat (_ @t149 @t237)) @t85)) (_ (_ tptp.plus_plus_nat (_ @t150 @t237)) @t85)))) % 0.45/0.90 (assume @p127 (forall @t84 (= (_ @t148 @t39) (_ (_ tptp.plus_plus_real @t239) @t238)))) % 0.45/0.90 (assume @p128 (forall @t93 (= (_ @t150 @t85) (_ (_ tptp.plus_plus_nat @t241) @t240)))) % 0.45/0.90 (assume @p129 (forall @t84 (= (_ @t33 @t106) (_ (_ tptp.plus_plus_real @t242) @t239)))) % 0.45/0.90 (assume @p130 (forall @t93 (= (_ @t123 @t112) (_ (_ tptp.plus_plus_nat @t243) @t241)))) % 0.45/0.90 (assume @p131 (_ @t244 tptp.one_one_real)) % 0.45/0.90 (assume @p132 (_ @t245 tptp.one_one_nat)) % 0.45/0.90 (assume @p133 (forall (@list @t39 @t29 @t32) (=> (= @t116 @t32) (= @t39 @t36)))) % 0.45/0.90 (assume @p134 (forall (@list @t85 @t86 @t88) (=> (= @t119 @t88) (= @t85 @t132)))) % 0.45/0.90 (assume @p135 (forall @t84 (= @t247 @t246))) % 0.45/0.90 (assume @p136 (forall @t93 (= @t248 (_ @t131 @t112)))) % 0.45/0.90 (assume @p137 (forall @t84 (= @t246 @t250))) % 0.45/0.90 (assume @p138 (forall @t84 (= (_ @t134 @t39) @t251))) % 0.45/0.90 (assume @p139 (forall @t84 (= (_ @t35 @t44) @t251))) % 0.45/0.90 (assume @p140 (forall @t84 (= (_ @t80 @t44) (_ @t127 @t39)))) % 0.45/0.90 (assume @p141 (forall @t109 (= (= @t32 @t253) (= @t82 @t39)))) % 0.45/0.90 (assume @p142 (forall @t84 (= (= @t36 @t39) (= @t32 @t116)))) % 0.45/0.90 (assume @p143 (forall @t192 (=> @t191 (= (_ (_ tptp.minus_minus_real @t190) @t29) (_ @t188 @t36))))) % 0.45/0.90 (assume @p144 (forall @t185 (= (_ @t257 tptp.one_one_real) (_ (_ tptp.times_times_real (_ @t255 tptp.one_one_real)) (_ @t254 tptp.one_one_real))))) % 0.45/0.90 (assume @p145 (forall @t98 (= (_ @t30 @t239) @t258))) % 0.45/0.90 (assume @p146 (forall @t103 (= (_ @t149 @t241) @t259))) % 0.45/0.90 (assume @p147 (= tptp.times_times_real (lambda @t200 (_ (_ tptp.times_times_real @t199) @t198)))) % 0.45/0.90 (assume @p148 (= tptp.times_times_nat (lambda @t203 (_ (_ tptp.times_times_nat @t202) @t201)))) % 0.45/0.90 (assume @p149 (forall @t84 (= (_ (_ tptp.times_times_real @t242) @t39) @t258))) % 0.45/0.90 (assume @p150 (forall @t93 (= (_ (_ tptp.times_times_nat @t243) @t85) @t259))) % 0.45/0.90 (assume @p151 (forall @t109 (= @t250 @t247))) % 0.45/0.90 (assume @p152 (forall @t115 (= (_ (_ tptp.minus_minus_nat (_ @t131 @t85)) @t86) @t248))) % 0.45/0.90 (assume @p153 (forall @t220 (=> @t261 (= @t260 (= @t39 @t217))))) % 0.45/0.90 (assume @p154 (forall @t93 (=> @t111 (=> @t111 (= (= @t263 @t85) (= @t86 @t100)))))) % 0.45/0.90 (assume @p155 (forall @t129 (=> @t111 (= (_ @t89 @t263) @t86)))) % 0.45/0.90 (assume @p156 (forall @t93 (=> @t111 (= (_ @t264 @t263) (_ @t133 @t86))))) % 0.45/0.90 (assume @p157 (forall @t93 (=> @t111 (= @t267 @t266)))) % 0.45/0.90 (assume @p158 (forall @t93 (=> @t111 (= @t266 @t267)))) % 0.45/0.90 (assume @p159 (forall @t93 (=> @t111 (= @t269 @t268)))) % 0.45/0.90 (assume @p160 (forall @t93 (=> @t111 (= @t268 @t269)))) % 0.45/0.90 (assume @p161 (forall @t93 (=> @t111 (= (_ @t222 @t263) (_ @t120 @t86))))) % 0.45/0.90 (assume @p162 (forall @t93 (=> @t111 (_ @t222 @t267)))) % 0.45/0.90 (assume @p163 (forall (@list @t168 @t167 @t270 @t164) (=> @t273 (=> @t272 (=> @t273 (=> @t272 (_ (_ tptp.ord_less_eq_real @t271) @t164))))))) % 0.45/0.90 (assume @p164 (forall (@list @t178 @t177 @t274 @t174) (=> @t280 (=> @t279 (=> @t280 (=> @t279 (_ (_ tptp.ord_less_eq_nat @t276) @t174))))))) % 0.45/0.90 (assume @p165 (forall @t129 (=> @t111 (= (_ @t265 @t88) @t86)))) % 0.45/0.90 (assume @p166 (forall (@list @t168 @t167 @t270) (=> @t273 (_ @t226 @t271)))) % 0.45/0.90 (assume @p167 (forall (@list @t178 @t177 @t274) (=> @t280 (_ @t232 @t276)))) % 0.45/0.90 (assume @p168 (forall @t109 (= (_ @t104 @t253) (_ (_ tptp.ord_less_eq_real @t82) @t39)))) % 0.45/0.90 (assume @p169 (forall @t84 (= (_ (_ tptp.ord_less_eq_real @t36) @t39) (_ @t104 @t116)))) % 0.45/0.90 (assume @p170 (forall @t282 (= (_ @t257 (_ (_ tptp.times_times_real @t281) @t281)) (_ (_ tptp.times_times_real (_ @t255 @t281)) (_ @t254 @t281))))) % 0.45/0.90 (assume @p171 (forall @t288 (= @t287 (= @t39 @t284)))) % 0.45/0.90 (assume @p172 (forall @t288 (= @t287 (= @t289 @t217)))) % 0.45/0.90 (assume @p173 (forall @t48 (= (_ tptp.numeral_numeral_real @t55) (_ @t157 @t47)))) % 0.45/0.90 (assume @p174 (forall @t48 (= (_ tptp.numeral_numeral_nat @t55) (_ @t158 @t70)))) % 0.45/0.90 (assume @p175 (forall @t48 (_ @t244 @t47))) % 0.45/0.90 (assume @p176 (forall @t48 (_ @t245 @t70))) % 0.45/0.90 (assume @p177 (forall @t77 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t82)) @t136))) % 0.45/0.90 (assume @p178 (= @t290 tptp.one_one_real)) % 0.45/0.90 (assume @p179 (= @t291 tptp.one_one_nat)) % 0.45/0.90 (assume @p180 (forall @t288 (= @t292 (_ @t218 @t284)))) % 0.45/0.90 (assume @p181 (forall @t288 (= @t292 (_ (_ tptp.ord_less_eq_real @t289) @t217)))) % 0.45/0.90 (assume @p182 (forall @t220 (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ @t127 (_ @t94 @t217)))) (_ (_ tptp.plus_plus_real (_ tptp.abs_abs_real @t249)) (_ tptp.abs_abs_real @t293))))) % 0.45/0.90 (assume @p183 (forall @t77 (_ (_ tptp.ord_less_eq_real @t73) @t136))) % 0.45/0.90 (assume @p184 (forall (@list @t184 @t32 @t294) (= (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t296)) @t294) (and (_ (_ tptp.ord_less_eq_real (_ @t35 @t294)) @t184) (_ @t295 (_ @t80 @t294)))))) % 0.45/0.90 (assume @p185 (forall @t220 (=> @t261 (= @t105 @t219)))) % 0.45/0.90 (assume @p186 (forall @t84 (=> @t105 (_ @t297 @t44)))) % 0.45/0.90 (assume @p187 (forall @t98 (=> @t143 (_ (_ tptp.ord_less_eq_real (_ @t252 @t32)) @t253)))) % 0.45/0.90 (assume @p188 (forall (@list @t32 @t29 @t217 @t39) (=> @t105 (=> (_ (_ tptp.ord_less_eq_real @t217) @t39) (_ @t297 @t293))))) % 0.45/0.90 (assume @p189 (forall @t84 (= (_ @t33 @t44) (_ (_ tptp.minus_minus_real @t242) @t239)))) % 0.45/0.90 (assume @p190 (forall @t93 (= (_ @t123 @t298) (_ (_ tptp.minus_minus_nat @t243) @t241)))) % 0.45/0.90 (assume @p191 (forall (@list @t29 @t39 @t32) (= (_ (_ tptp.times_times_real @t44) @t32) (_ (_ tptp.minus_minus_real (_ @t30 @t32)) (_ (_ tptp.times_times_real @t39) @t32))))) % 0.45/0.90 (assume @p192 (forall (@list @t86 @t85 @t88) (= (_ (_ tptp.times_times_nat @t298) @t88) (_ (_ tptp.minus_minus_nat (_ @t149 @t88)) (_ (_ tptp.times_times_nat @t85) @t88))))) % 0.45/0.90 (assume @p193 (forall @t84 (= (_ @t37 @t39) (_ (_ tptp.minus_minus_real @t239) @t238)))) % 0.45/0.90 (assume @p194 (forall @t51 (_ @t104 @t49))) % 0.45/0.90 (assume @p195 (forall @t77 (=> (_ (_ tptp.ord_less_eq_real @t49) @t29) @t105))) % 0.45/0.90 (assume @p196 (forall @t77 (= (_ tptp.abs_abs_real @t242) (_ @t50 @t74)))) % 0.45/0.90 (assume @p197 (forall @t77 (= @t73 @t299))) % 0.45/0.90 (assume @p198 (forall @t77 (= (_ @t80 @t82) (_ (_ tptp.plus_plus_real (_ @t14 @t32)) @t29)))) % 0.45/0.90 (assume @p199 (forall @t129 (= (_ @t89 @t91) (_ (_ tptp.plus_plus_nat (_ @t300 @t88)) @t86)))) % 0.45/0.90 (assume @p200 (forall @t302 (= (_ (_ tptp.times_times_real @t56) @t13) @t301))) % 0.45/0.90 (assume @p201 (forall @t304 (= (_ (_ tptp.times_times_nat @t61) @t159) @t303))) % 0.45/0.90 (assume @p202 (forall @t302 (= (_ @t14 @t56) @t301))) % 0.45/0.90 (assume @p203 (forall @t304 (= (_ @t300 @t61) @t303))) % 0.45/0.90 (assume @p204 (forall @t51 (= (_ @t33 @t290) @t32))) % 0.45/0.90 (assume @p205 (forall @t124 (= (_ @t123 @t291) @t88))) % 0.45/0.90 (assume @p206 (forall @t51 (= (_ (_ tptp.times_times_real @t290) @t32) @t32))) % 0.45/0.90 (assume @p207 (forall @t124 (= (_ (_ tptp.times_times_nat @t291) @t88) @t88))) % 0.45/0.90 (assume @p208 (forall @t77 (_ @t76 @t299))) % 0.45/0.90 (assume @p209 (forall (@list @t184 @t281 @t306 @t305) (=> @t307 (=> (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real @t306)) @t305) (_ (_ tptp.ord_less_eq_real (_ tptp.abs_abs_real (_ (_ tptp.minus_minus_real (_ @t255 @t306)) @t281))) @t305))))) % 0.45/0.90 (assume @p210 (forall @t215 (=> @t313 (_ (_ tptp.ord_less_eq_real @t312) (_ @t308 @t21))))) % 0.45/0.90 (assume @p211 (forall @t215 (=> @t313 (_ (_ tptp.ord_less_eq_real (_ @t308 @t17)) @t312)))) % 0.45/0.90 (assume @p212 (= (_ tptp.neg_numeral_dbl_real tptp.one_one_real) @t13)) % 0.45/0.90 (assume @p213 (forall (@list @t184 @t281 @t32 @t29) (= (_ (_ tptp.minus_minus_real (_ @t256 @t281)) @t242) (_ (_ tptp.plus_plus_real (_ @t256 (_ @t314 @t29))) (_ (_ tptp.times_times_real @t296) @t29))))) % 0.45/0.90 (assume @p214 (forall (@list @t316 @t315) (= (= @t317 (_ tptp.bit0 @t315)) (= @t316 @t315)))) % 0.45/0.90 (assume @p215 (forall @t185 (_ @t295 @t184))) % 0.45/0.90 (assume @p216 (forall @t206 (_ @t205 @t204))) % 0.45/0.90 (assume @p217 (forall @t187 (_ @t318 @t186))) % 0.45/0.90 (assume @p218 (forall @t319 (= (= @t184 (_ @t314 @t56)) (= @t281 (_ @t255 @t56))))) % 0.45/0.90 (assume @p219 (forall @t69 (= (_ (_ tptp.plus_plus_num @t53) @t55) (_ tptp.bit0 @t125)))) % 0.45/0.90 (assume @p220 (= (_ @t153 tptp.one) @t12)) % 0.45/0.90 (assume @p221 (forall (@list @t320) (= (_ tptp.neg_numeral_dbl_real (_ tptp.numeral_numeral_real @t320)) (_ tptp.numeral_numeral_real (_ tptp.bit0 @t320))))) % 0.45/0.90 (assume @p222 (forall @t48 (= @t154 @t156))) % 0.45/0.90 (assume @p223 (forall @t331 (=> (_ @t104 @t330) @t329))) % 0.45/0.90 (assume @p224 (forall @t344 (=> (_ @t104 @t343) @t342))) % 0.45/0.90 (assume @p225 (forall @t354 (=> (_ @t104 @t353) @t352))) % 0.45/0.90 (assume @p226 (forall @t361 (=> (_ @t357 @t360) @t359))) % 0.45/0.90 (assume @p227 (forall @t366 (=> (_ @t357 @t365) @t364))) % 0.45/0.90 (assume @p228 (forall @t371 (=> (_ @t357 @t370) @t369))) % 0.45/0.90 (assume @p229 (forall @t376 (=> (_ @t110 @t375) @t374))) % 0.45/0.90 (assume @p230 (forall @t381 (=> (_ @t110 @t380) @t379))) % 0.45/0.90 (assume @p231 (forall @t386 (=> (_ @t110 @t385) @t384))) % 0.45/0.90 (assume @p232 (forall @t388 (=> @t105 (=> (_ (_ tptp.ord_less_eq_real @t330) @t39) @t387)))) % 0.45/0.90 (assume @p233 (forall @t390 (=> @t105 (=> (_ (_ tptp.ord_less_eq_num @t360) @t332) @t389)))) % 0.45/0.90 (assume @p234 (forall @t392 (=> @t105 (=> (_ (_ tptp.ord_less_eq_nat @t375) @t85) @t391)))) % 0.45/0.90 (assume @p235 (forall @t395 (=> @t394 (=> (_ (_ tptp.ord_less_eq_real @t343) @t39) @t393)))) % 0.45/0.90 (assume @p236 (forall @t397 (=> @t394 (=> (_ (_ tptp.ord_less_eq_num @t365) @t332) @t396)))) % 0.45/0.90 (assume @p237 (forall @t399 (=> @t394 (=> (_ (_ tptp.ord_less_eq_nat @t380) @t85) @t398)))) % 0.45/0.90 (assume @p238 (forall @t401 (=> @t111 (=> (_ (_ tptp.ord_less_eq_real @t353) @t39) @t400)))) % 0.45/0.90 (assume @p239 (forall @t403 (=> @t111 (=> (_ (_ tptp.ord_less_eq_num @t370) @t332) @t402)))) % 0.45/0.90 (assume @p240 (forall @t405 (=> @t111 (=> (_ (_ tptp.ord_less_eq_nat @t385) @t85) @t404)))) % 0.45/0.90 (assume @p241 (forall @t77 (or @t260 @t406 (not @t143)))) % 0.45/0.90 (assume @p242 (forall (@list @t356 @t339) (or (= @t356 @t339) (not @t394) (not (_ @t340 @t356))))) % 0.45/0.90 (assume @p243 (forall @t129 (or (= @t88 @t86) (not @t111) (not @t146)))) % 0.45/0.90 (assume @p244 (forall @t331 (=> (= @t32 @t330) @t329))) % 0.45/0.90 (assume @p245 (forall @t361 (=> (= @t356 @t360) @t359))) % 0.45/0.90 (assume @p246 (forall @t376 (=> (= @t88 @t375) @t374))) % 0.45/0.90 (assume @p247 (forall @t344 (=> (= @t32 @t343) @t342))) % 0.45/0.90 (assume @p248 (forall @t366 (=> (= @t356 @t365) @t364))) % 0.45/0.90 (assume @p249 (forall @t381 (=> (= @t88 @t380) @t379))) % 0.45/0.90 (assume @p250 (forall @t354 (=> (= @t32 @t353) @t352))) % 0.45/0.90 (assume @p251 (forall @t371 (=> (= @t356 @t370) @t369))) % 0.45/0.90 (assume @p252 (forall @t386 (=> (= @t88 @t385) @t384))) % 0.45/0.90 (assume @p253 (forall @t388 (=> @t105 (=> (= @t330 @t39) @t387)))) % 0.45/0.90 (assume @p254 (forall @t390 (=> @t105 (=> (= @t360 @t332) @t389)))) % 0.45/0.90 (assume @p255 (forall @t392 (=> @t105 (=> (= @t375 @t85) @t391)))) % 0.45/0.90 (assume @p256 (forall @t395 (=> @t394 (=> (= @t343 @t39) @t393)))) % 0.45/0.90 (assume @p257 (forall @t397 (=> @t394 (=> (= @t365 @t332) @t396)))) % 0.45/0.90 (assume @p258 (forall @t399 (=> @t394 (=> (= @t380 @t85) @t398)))) % 0.45/0.90 (assume @p259 (forall @t401 (=> @t111 (=> (= @t353 @t39) @t400)))) % 0.45/0.90 (assume @p260 (forall @t403 (=> @t111 (=> (= @t370 @t332) @t402)))) % 0.45/0.90 (assume @p261 (forall @t405 (=> @t111 (=> (= @t385 @t85) @t404)))) % 0.45/0.90 (assume @p262 (= (lambda (@list @t409 @t408) (= @t409 @t408)) (lambda (@list @t139 @t407) (and (_ (_ tptp.ord_less_eq_real @t139) @t407) (_ (_ tptp.ord_less_eq_real @t407) @t139))))) % 0.45/0.90 (assume @p263 (= (lambda (@list @t413 @t412) (= @t413 @t412)) (lambda (@list @t410 @t411) (and (_ (_ tptp.ord_less_eq_num @t410) @t411) (_ (_ tptp.ord_less_eq_num @t411) @t410))))) % 0.45/0.90 (assume @p264 (= (lambda (@list @t417 @t416) (= @t417 @t416)) (lambda (@list @t414 @t415) (and (_ (_ tptp.ord_less_eq_nat @t414) @t415) (_ (_ tptp.ord_less_eq_nat @t415) @t414))))) % 0.45/0.90 (assume @p265 (forall @t282 (=> @t420 (=> @t419 @t307)))) % 0.45/0.90 (assume @p266 (forall @t426 (=> @t425 (=> @t424 @t422)))) % 0.45/0.90 (assume @p267 (forall @t432 (=> @t431 (=> @t430 @t428)))) % 0.45/0.90 (assume @p268 (forall @t282 (or @t420 @t419))) % 0.45/0.90 (assume @p269 (forall @t426 (or @t425 @t424))) % 0.45/0.90 (assume @p270 (forall @t432 (or @t431 @t430))) % 0.45/0.90 (assume @p271 (forall @t282 (=> @t307 @t420))) % 0.45/0.90 (assume @p272 (forall @t426 (=> @t422 @t425))) % 0.45/0.90 (assume @p273 (forall @t432 (=> @t428 @t431))) % 0.45/0.90 (assume @p274 (forall @t282 (=> @t433 @t419))) % 0.45/0.90 (assume @p275 (forall @t426 (=> @t434 @t424))) % 0.45/0.90 (assume @p276 (forall @t432 (=> @t435 @t430))) % 0.45/0.90 (assume @p277 @t438) % 0.45/0.90 (assume @p278 (forall (@list @t356 @t339 @t332) (=> @t394 (=> @t341 (_ @t357 @t332))))) % 0.45/0.90 (assume @p279 (forall @t93 (=> @t111 (=> @t351 @t439)))) % 0.45/0.90 (assume @p280 (forall @t319 (=> (=> @t420 (not @t442)) (=> (=> @t419 (not @t444)) (=> (=> @t444 (not @t443)) (=> (=> @t443 (not @t419)) (=> (=> @t442 (not @t441)) (not (=> @t441 @t433))))))))) % 0.45/0.90 (assume @p281 (forall (@list @t204 @t421 @t445) (=> (=> @t425 (not @t448)) (=> (=> @t424 (not @t450)) (=> (=> @t450 (not @t449)) (=> (=> @t449 (not @t424)) (=> (=> @t448 (not @t447)) (not (=> @t447 @t434))))))))) % 0.45/0.90 (assume @p282 (forall (@list @t186 @t427 @t61) (=> (=> @t431 (not @t453)) (=> (=> @t430 (not @t455)) (=> (=> @t455 (not @t454)) (=> (=> @t454 (not @t430)) (=> (=> @t453 (not @t452)) (not (=> @t452 @t435))))))))) % 0.45/0.90 (assume @p283 (forall (@list @t421 @t204) (=> @t424 (= @t425 @t422)))) % 0.45/0.90 (assume @p284 (forall (@list @t427 @t186) (=> @t430 (= @t431 @t428)))) % 0.45/0.90 (assume @p285 (forall (@list @t457) (=> (exists @t462 @t461) (=> (exists @t459 @t458) (exists (@list @t322) (and (forall @t462 (=> @t461 (_ (_ tptp.ord_less_eq_real @t460) @t322))) (forall @t459 (=> @t458 (_ (_ tptp.ord_less_eq_real @t322) @t456))))))))) % 0.45/0.90 (assume @p286 (forall @t215 (=> @t313 (_ (_ tptp.ord_less_eq_real @t310) @t311)))) % 0.45/0.90 (assume @p287 (forall (@list @t316) (not (= tptp.one @t317)))) % 0.45/0.90 (assume @p288 (forall @t477 (=> @t476 (= @t474 (= @t467 @t274))))) % 0.45/0.90 (assume @p289 (forall @t481 (=> @t233 (= @t474 (= @t463 @t480))))) % 0.45/0.90 (assume @p290 (forall @t477 (=> @t476 (= @t482 (_ (_ tptp.ord_less_eq_nat @t467) @t274))))) % 0.45/0.90 (assume @p291 (forall @t481 (=> @t233 (= @t482 (_ @t483 @t480))))) % 0.45/0.90 (assume @p292 (forall @t477 (=> @t476 (= @t484 (_ (_ tptp.minus_minus_nat @t467) @t274))))) % 0.45/0.90 (assume @p293 (forall @t481 (=> @t233 (= @t484 (_ @t485 @t480))))) % 0.45/0.90 (assume @p294 (forall (@list @t178 @t464 @t174 @t177) (= (_ @t472 (_ @t469 @t177)) (_ (_ tptp.plus_plus_nat (_ (_ tptp.times_times_nat @t486) @t464)) @t177)))) % 0.45/0.90 (assume @p295 (forall @t490 (= (= tptp.one_one_nat @t489) @t487))) % 0.45/0.90 (assume @p296 (forall @t490 (= (= @t489 tptp.one_one_nat) @t487))) % 0.45/0.90 (assume @p297 (forall @t492 (= (_ (_ tptp.ord_less_eq_nat (_ @t193 @t463)) (_ @t193 @t274)) @t491))) % 0.45/0.90 (assume @p298 (forall (@list @t178 @t274) (=> (_ @t232 @t274) (= (_ @t275 (_ @t275 @t178)) @t178)))) % 0.45/0.90 (assume @p299 (forall @t494 (= @t493 (_ @t465 @t277)))) % 0.45/0.90 (assume @p300 (forall @t497 (=> @t496 (= (_ @t465 @t495) (_ (_ tptp.minus_minus_nat @t180) @t174))))) % 0.45/0.90 (assume @p301 (forall @t497 (=> @t496 (= (_ (_ tptp.plus_plus_nat @t495) @t178) (_ (_ tptp.minus_minus_nat (_ @t175 @t178)) @t177))))) % 0.45/0.90 (assume @p302 (forall @t497 (=> @t496 (= (_ @t179 @t495) (_ (_ tptp.minus_minus_nat @t486) @t177))))) % 0.45/0.90 (assume @p303 (forall @t492 (=> @t501 (=> @t500 (= (= @t499 @t276) @t498))))) % 0.45/0.90 (assume @p304 (forall @t492 (=> @t501 (=> @t500 (= (_ (_ tptp.ord_less_eq_nat @t499) @t276) @t491))))) % 0.45/0.90 (assume @p305 (forall @t492 (=> @t501 (=> @t500 (= (_ (_ tptp.minus_minus_nat @t499) @t276) @t502))))) % 0.45/0.90 (assume @p306 (forall @t503 (=> @t491 (_ (_ tptp.ord_less_eq_nat (_ @t485 @t173)) (_ @t275 @t173))))) % 0.45/0.90 (assume @p307 (forall @t490 (_ (_ tptp.ord_less_eq_nat @t502) @t463))) % 0.45/0.90 (assume @p308 (forall @t115 (=> @t439 (=> @t351 (= (_ (_ tptp.ord_less_eq_nat (_ @t264 @t88)) (_ @t264 @t86)) @t146))))) % 0.45/0.90 (assume @p309 (forall @t503 (=> @t491 (_ (_ tptp.ord_less_eq_nat (_ @t504 @t274)) (_ @t504 @t463))))) % 0.45/0.90 (assume @p310 (forall (@list @t506 @t177 @t86) (=> (_ @t506 @t177) (=> (forall (@list @t346) (=> (_ @t506 @t346) (_ (_ tptp.ord_less_eq_nat @t346) @t86))) (exists (@list @t347) (and (_ @t506 @t347) (forall (@list @t505) (=> (_ @t506 @t505) (_ (_ tptp.ord_less_eq_nat @t505) @t347))))))))) % 0.45/0.90 (assume @p311 (forall @t490 (or @t491 @t507))) % 0.45/0.90 (assume @p312 (forall @t494 (=> @t233 (_ (_ tptp.ord_less_eq_nat (_ @t508 @t178)) (_ @t508 @t174))))) % 0.45/0.90 (assume @p313 (forall @t494 (=> @t233 (_ @t509 (_ @t468 @t177))))) % 0.45/0.90 (assume @p314 (forall @t183 (=> @t233 (=> @t231 (_ @t509 (_ @t468 @t173)))))) % 0.45/0.90 (assume @p315 (forall @t490 (=> @t491 (=> @t507 @t498)))) % 0.45/0.90 (assume @p316 (forall @t511 (_ @t483 @t510))) % 0.45/0.90 (assume @p317 (forall @t490 (=> @t498 @t491))) % 0.45/0.90 (assume @p318 (forall @t494 (=> @t233 (=> (_ @t475 @t177) (_ @t232 @t177))))) % 0.45/0.90 (assume @p319 (forall (@list @t274) (_ @t278 @t274))) % 0.45/0.90 (assume @p320 (forall @t511 (_ @t483 (_ @t488 @t510)))) % 0.45/0.90 (assume @p321 (forall @t492 (= (_ @t508 @t502) (_ (_ tptp.minus_minus_nat (_ @t508 @t463)) (_ @t508 @t274))))) % 0.45/0.90 (assume @p322 (forall (@list @t463 @t274 @t177) (= (_ (_ tptp.times_times_nat @t502) @t177) (_ (_ tptp.minus_minus_nat (_ @t488 @t177)) (_ (_ tptp.times_times_nat @t274) @t177))))) % 0.45/0.90 (assume @p323 (forall @t494 (= @t493 (_ (_ tptp.minus_minus_nat (_ @t465 @t177)) @t174)))) % 0.45/0.90 (assume @p324 (forall @t494 (=> @t233 (= (= @t479 @t177) (= @t174 (_ @t193 @t178)))))) % 0.45/0.90 (assume @p325 (forall @t490 (= (_ (_ tptp.minus_minus_nat (_ (_ tptp.plus_plus_nat @t463) @t274)) @t274) @t463))) % 0.45/0.90 (assume @p326 @t513) % 0.45/0.90 (assume @p327 true) % 0.45/0.90 (step @p328 (= tptp.genClo293725282kRead2 @t518) :rule refl :args (@t518)) % 0.45/0.90 (step @p329 (= tptp.ord_less_eq_nat @t520) :rule refl :args (@t520)) % 0.45/0.90 (step @p330 (= tptp.genClo2108747022bound1 @t530) :rule refl :args (@t530)) % 0.45/0.90 (step @p331 (= tptp.genClo2108747023bound2 @t531) :rule refl :args (@t531)) % 0.45/0.90 (step @p332 (= tptp.genClo293725281kRead1 @t534) :rule refl :args (@t534)) % 0.45/0.90 (step @p333 (= tptp.neg_numeral_dbl_real @t535) :rule refl :args (@t535)) % 0.45/0.90 (step @p334 :rule refl :args (@t536)) % 0.45/0.90 (step @p335 :rule refl :args (@t436)) % 0.45/0.90 (step @p336 :rule cong :premises (@p335 @p334) :args ((= @t436 @t536))) % 0.45/0.90 (step @p337 :rule symm :premises (@p336)) % 0.45/0.90 (step @p338 :rule eq_resolve :premises (@p335 @p337)) % 0.45/0.90 (step @p339 :rule refl :args (@t537)) % 0.45/0.90 (step @p340 :rule refl :args (@t328)) % 0.45/0.90 (step @p341 :rule cong :premises (@p340 @p339) :args ((= @t328 @t537))) % 0.45/0.90 (step @p342 :rule symm :premises (@p341)) % 0.45/0.90 (step @p343 :rule eq_resolve :premises (@p340 @p342)) % 0.45/0.90 (step @p344 :rule cong :premises (@p343) :args (@t538)) % 0.45/0.90 (step @p345 :rule refl :args (@t539)) % 0.45/0.90 (step @p346 :rule refl :args (@t105)) % 0.45/0.90 (step @p347 :rule cong :premises (@p346 @p345) :args ((= @t105 @t539))) % 0.45/0.90 (step @p348 :rule symm :premises (@p347)) % 0.45/0.90 (step @p349 :rule eq_resolve :premises (@p346 @p348)) % 0.45/0.90 (step @p350 :rule cong :premises (@p349) :args (@t406)) % 0.45/0.90 (step @p351 :rule nary_cong :premises (@p350 @p344 @p338) :args (@t540)) % 0.45/0.90 (step @p352 :rule cong :premises (@p351) :args ((forall @t84 @t540))) % 0.45/0.90 (step @p353 :rule aci_norm :args ((= (or @t406 (or @t538 @t436)) @t540))) % 0.45/0.90 (step @p354 :rule bool-impl-elim :args (@t328 @t436)) % 0.45/0.90 (step @p355 :rule refl :args (@t406)) % 0.45/0.90 (step @p356 :rule nary_cong :premises (@p355 @p354) :args ((or @t406 @t437))) % 0.45/0.90 (step @p357 :rule trans :premises (@p356 @p353)) % 0.45/0.90 (step @p358 :rule bool-impl-elim :args (@t105 @t437)) % 0.45/0.90 (step @p359 :rule trans :premises (@p358 @p357)) % 0.45/0.90 (step @p360 :rule cong :premises (@p359) :args (@t438)) % 0.45/0.90 (step @p361 :rule trans :premises (@p360 @p352)) % 0.45/0.90 (step @p362 :rule eq_resolve :premises (@p277 @p361)) % 0.45/0.90 (step @p363 :rule refl :args ((tptp.ord_less_eq_real @t10 @t16))) % 0.45/0.90 (step @p364 :rule refl :args ((tptp.times_times_real @t15 @t11))) % 0.45/0.90 (step @p365 :rule refl :args (@t541)) % 0.45/0.90 (step @p366 :rule refl :args ((tptp.times_times_real @t13 tptp.genClo1144207539le_rho))) % 0.45/0.90 (step @p367 :rule refl :args (tptp.genClo1144207539le_rho)) % 0.45/0.90 (step @p368 :rule refl :args ((tptp.numeral_numeral_real @t12))) % 0.45/0.90 (step @p369 :rule refl :args (@t542)) % 0.45/0.90 (step @p370 :rule cong :premises (@p369) :args (@t543)) % 0.45/0.90 (step @p371 :rule trans :premises (@p370 @p368)) % 0.45/0.90 (step @p372 :rule cong :premises (@p371 @p367) :args (@t544)) % 0.45/0.90 (step @p373 :rule trans :premises (@p372 @p366)) % 0.45/0.90 (step @p374 :rule cong :premises (@p373 @p365) :args (@t545)) % 0.45/0.90 (step @p375 :rule trans :premises (@p374 @p364)) % 0.45/0.90 (step @p376 :rule refl :args ((tptp.abs_abs_real @t9))) % 0.45/0.90 (step @p377 :rule refl :args ((tptp.minus_minus_real @t8 @t4))) % 0.45/0.90 (step @p378 :rule refl :args ((tptp.minus_minus_real @t3 @t2))) % 0.45/0.90 (step @p379 :rule refl :args (@t546)) % 0.45/0.90 (step @p380 :rule refl :args (@t547)) % 0.45/0.90 (step @p381 :rule cong :premises (@p380 @p379) :args (@t548)) % 0.45/0.90 (step @p382 :rule trans :premises (@p381 @p378)) % 0.45/0.90 (step @p383 :rule refl :args ((tptp.minus_minus_real @t7 @t6))) % 0.45/0.90 (step @p384 :rule refl :args (@t549)) % 0.45/0.90 (step @p385 :rule refl :args (@t550)) % 0.45/0.90 (step @p386 :rule cong :premises (@p385 @p384) :args (@t551)) % 0.45/0.90 (step @p387 :rule trans :premises (@p386 @p383)) % 0.45/0.90 (step @p388 :rule cong :premises (@p387 @p382) :args (@t552)) % 0.45/0.90 (step @p389 :rule trans :premises (@p388 @p377)) % 0.45/0.90 (step @p390 :rule cong :premises (@p389) :args (@t553)) % 0.45/0.90 (step @p391 :rule trans :premises (@p390 @p376)) % 0.45/0.90 (step @p392 :rule cong :premises (@p391 @p375) :args (@t554)) % 0.45/0.90 (step @p393 :rule trans :premises (@p392 @p363)) % 0.45/0.90 (step @p394 :rule refl :args (tptp.ord_less_eq_real)) % 0.45/0.90 (step @p395 :rule ho_cong :premises (@p394 @p391)) % 0.45/0.90 (step @p396 :rule ho_cong :premises (@p395 @p375)) % 0.45/0.90 (step @p397 :rule cong :premises (@p396 @p393) 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0.45/0.90 (step @p608 :rule ho_cong :premises (@p563 @p469)) % 0.45/0.90 (step @p609 :rule trans :premises (@p608 @p607)) % 0.45/0.90 (step @p610 :rule ho_cong :premises (@p493 @p489)) % 0.45/0.90 (step @p611 :rule ho_cong :premises (@p610 @p609)) % 0.45/0.90 (step @p612 :rule trans :premises (@p611 @p602)) % 0.45/0.90 (step @p613 :rule refl :args (@t4)) % 0.45/0.90 (step @p614 :rule ho_cong :premises (@p578 @p613)) % 0.45/0.90 (step @p615 :rule refl :args (@t26)) % 0.45/0.90 (step @p616 :rule ho_cong :premises (@p615 @p614)) % 0.45/0.90 (step @p617 :rule trans :premises (@p616 @p612)) % 0.45/0.90 (step @p618 :rule eq_resolve :premises (@p10 @p617)) % 0.45/0.90 (step @p619 :rule refl :args ((tptp.ord_less_eq_real @t570 @t567))) % 0.45/0.90 (step @p620 :rule cong :premises (@p594 @p516) :args (@t573)) % 0.45/0.90 (step @p621 :rule trans :premises (@p620 @p619)) % 0.45/0.90 (step @p622 :rule ho_cong :premises (@p394 @p594)) % 0.45/0.90 (step @p623 :rule ho_cong :premises (@p622 @p516)) % 0.45/0.90 (step @p624 :rule cong :premises (@p623 @p621) :args ((= (_ (_ tptp.ord_less_eq_real @t571) @t560) @t573))) % 0.45/0.90 (step @p625 :rule symm :premises (@p624)) % 0.45/0.90 (step @p626 :rule refl :args ((_ (_ tptp.ord_less_eq_real @t570) @t567))) % 0.45/0.90 (step @p627 :rule eq_resolve :premises (@p626 @p625)) % 0.45/0.90 (step @p628 :rule ho_cong :premises (@p493 @p609)) % 0.45/0.90 (step @p629 :rule ho_cong :premises (@p628 @p565)) % 0.45/0.90 (step @p630 :rule trans :premises (@p629 @p627)) % 0.45/0.90 (step @p631 :rule ho_cong :premises (@p493 @p614)) % 0.45/0.90 (step @p632 :rule ho_cong :premises (@p631 @p579)) % 0.45/0.90 (step @p633 :rule trans :premises (@p632 @p630)) % 0.45/0.90 (step @p634 :rule eq_resolve :premises (@p6 @p633)) % 0.45/0.90 (step @p635 :rule cnf_or_pos :args (@t576)) % 0.45/0.90 (step @p636 :rule reordering :premises (@p635) :args ((or @t574 @t575 @t569 @t577))) % 0.45/0.90 (step @p637 :rule chain_m_resolution :premises (@p636 @p634 @p618 @p590) :args (@t577 (@list false false true) (@list @t573 @t572 @t569))) % 0.45/0.90 (assume-push @p644 @t578) % 0.45/0.90 (step @p639 :rule instantiate :premises (@p362) :args ((@list @t552 @t571 @t560))) % 0.45/0.90 (step-pop @p645 :rule scope :premises (@p639)) % 0.45/0.90 (step @p640 :rule process_scope :premises (@p645) :args (@t576)) % 0.45/0.90 (step @p642 :rule implies_elim :premises (@p640)) % 0.45/0.90 (step @p643 false :rule chain_m_resolution :premises (@p642 @p637 @p362) :args (false (@list true false) (@list @t576 @t578))) % 0.45/0.90 ) % 0.45/0.90 % SZS output end Proof % 0.45/0.90 % cvc5 exiting %------------------------------------------------------------------------------