0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n031.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Fri Sep 5 19:09:52 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.57 %----Proving TH0 122.44/122.86 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 122.44/122.86 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s... 122.44/122.86 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s... 122.44/122.86 --- Run --ho-elim --full-saturate-quant at 14s... 122.44/122.86 % SZS status Theorem 122.44/122.86 % SZS output start Proof 122.44/122.86 ( 122.44/122.86 (declare-type tptp.list_c1059388851t_unit ()) 122.44/122.86 (declare-type tptp.list_message_p_v ()) 122.44/122.86 (declare-type tptp.message_p_v ()) 122.44/122.86 (declare-type tptp.nat ()) 122.44/122.86 (declare-type tptp.config256849571t_unit ()) 122.44/122.86 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) 122.44/122.86 (declare-const tptp.firstO1414030372_p_v_s (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.message_p_v tptp.nat Bool)) 122.44/122.86 (declare-const tptp.last_message_p_v (-> tptp.list_message_p_v tptp.message_p_v)) 122.44/122.87 (declare-const tptp.last_c571238084t_unit (-> tptp.list_c1059388851t_unit tptp.config256849571t_unit)) 122.44/122.87 (declare-const tptp.nMsg tptp.nat) 122.44/122.87 (declare-const tptp.prefix47729710ge_p_v (-> tptp.list_message_p_v tptp.list_message_p_v Bool)) 122.44/122.87 (declare-const tptp.nil_co1338500125t_unit tptp.list_c1059388851t_unit) 122.44/122.87 (declare-const tptp.msg tptp.message_p_v) 122.44/122.87 (declare-const tptp.prefix1615116500t_unit (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool)) 122.44/122.87 (declare-const tptp.n0 tptp.nat) 122.44/122.87 (declare-const tptp.n tptp.nat) 122.44/122.87 (declare-const tptp.enabled_p_v_s (-> tptp.config256849571t_unit tptp.message_p_v Bool)) 122.44/122.87 (declare-const tptp.nth_co1649820636t_unit (-> tptp.list_c1059388851t_unit tptp.nat tptp.config256849571t_unit)) 122.44/122.87 (declare-const tptp.nil_message_p_v tptp.list_message_p_v) 122.44/122.87 (declare-const tptp.nth_message_p_v (-> tptp.list_message_p_v tptp.nat tptp.message_p_v)) 122.44/122.87 (declare-const tptp.suc (-> tptp.nat tptp.nat)) 122.44/122.87 (declare-const tptp.msgInSet tptp.message_p_v) 122.44/122.87 (declare-const tptp.zero_zero_nat tptp.nat) 122.44/122.87 (declare-const tptp.size_s1406904903t_unit (-> tptp.list_c1059388851t_unit tptp.nat)) 122.44/122.87 (declare-const tptp.one_one_nat tptp.nat) 122.44/122.87 (declare-const tptp.index tptp.nat) 122.44/122.87 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) 122.44/122.87 (declare-const tptp.ft (-> tptp.nat tptp.list_message_p_v)) 122.44/122.87 (declare-const tptp.size_s1168481041ge_p_v (-> tptp.list_message_p_v tptp.nat)) 122.44/122.87 (declare-const tptp.fLPThe1519354920_p_v_s (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat tptp.list_c1059388851t_unit)) 122.44/122.87 (declare-const tptp.n1 tptp.nat) 122.44/122.87 (declare-const tptp.fe (-> tptp.nat tptp.list_c1059388851t_unit)) 122.44/122.87 (declare-const tptp.fLPThe536531371_p_v_s (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat tptp.list_message_p_v)) 122.44/122.87 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "M2" tptp.nat))) (lambda (@list _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ tptp.ord_less_nat _let_2) _let_1)))))) 122.44/122.87 (define @t1 () (@var "X2" tptp.nat)) 122.44/122.87 (define @t2 () (_ tptp.suc @t1)) 122.44/122.87 (define @t3 () (@var "N" tptp.nat)) 122.44/122.87 (define @t4 () (_ tptp.ord_less_nat @t3)) 122.44/122.87 (define @t5 () (@list @t3)) 122.44/122.87 (define @t6 () (= @t3 tptp.zero_zero_nat)) 122.44/122.87 (define @t7 () (@var "M" tptp.nat)) 122.44/122.87 (define @t8 () (_ tptp.minus_minus_nat @t7)) 122.44/122.87 (define @t9 () (_ tptp.suc @t3)) 122.44/122.87 (define @t10 () (_ @t8 @t9)) 122.44/122.87 (define @t11 () (@list @t7 @t3)) 122.44/122.87 (define @t12 () (@var "F" (-> tptp.nat tptp.nat))) 122.44/122.87 (define @t13 () (_ @t12 @t3)) 122.44/122.87 (define @t14 () (@var "N4" tptp.nat)) 122.44/122.87 (define @t15 () (_ @t12 @t14)) 122.44/122.87 (define @t16 () (_ tptp.ord_less_eq_nat @t3)) 122.44/122.87 (define @t17 () (_ @t16 @t14)) 122.44/122.87 (define @t18 () (@var "N2" tptp.nat)) 122.44/122.87 (define @t19 () (_ @t12 @t18)) 122.44/122.87 (define @t20 () (_ tptp.suc @t18)) 122.44/122.87 (define @t21 () (_ @t12 @t20)) 122.44/122.87 (define @t22 () (@list @t18)) 122.44/122.87 (define @t23 () (@list @t12 @t3 @t14)) 122.44/122.87 (define @t24 () (@var "P" (-> tptp.nat tptp.nat Bool))) 122.44/122.87 (define @t25 () (@var "Y3" tptp.nat)) 122.44/122.87 (define @t26 () (_ tptp.suc @t25)) 122.44/122.87 (define @t27 () (@var "X3" tptp.nat)) 122.44/122.87 (define @t28 () (_ @t24 @t27)) 122.44/122.87 (define @t29 () (@list @t25)) 122.44/122.87 (define @t30 () (@list @t27)) 122.44/122.87 (define @t31 () (_ @t8 @t3)) 122.44/122.87 (define @t32 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) 122.44/122.87 (define @t33 () (_ @t32 @t3)) 122.44/122.87 (define @t34 () (not @t6)) 122.44/122.87 (define @t35 () (= @t7 @t3)) 122.44/122.87 (define @t36 () (_ tptp.suc @t7)) 122.44/122.87 (define @t37 () (_ @t4 @t36)) 122.44/122.87 (define @t38 () (_ @t4 @t7)) 122.44/122.87 (define @t39 () (not @t38)) 122.44/122.87 (define @t40 () (@list @t3 @t7)) 122.44/122.87 (define @t41 () (@var "A" tptp.nat)) 122.44/122.87 (define @t42 () (_ tptp.minus_minus_nat @t41)) 122.44/122.87 (define @t43 () (@list @t41)) 122.44/122.87 (define @t44 () (_ tptp.ord_less_eq_nat @t7)) 122.44/122.87 (define @t45 () (_ @t44 @t3)) 122.44/122.87 (define @t46 () (_ tptp.ord_less_nat @t7)) 122.44/122.87 (define @t47 () (_ @t46 @t3)) 122.44/122.87 (define @t48 () (or @t47 @t35)) 122.44/122.87 (define @t49 () (@var "Xs" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t50 () (@var "P" (-> tptp.list_c1059388851t_unit Bool))) 122.44/122.87 (define @t51 () (@var "Xs2" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t52 () (@var "Ys2" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t53 () (_ tptp.size_s1406904903t_unit @t51)) 122.44/122.87 (define @t54 () (@list @t51)) 122.44/122.87 (define @t55 () (_ tptp.ft tptp.index)) 122.44/122.87 (define @t56 () (_ tptp.size_s1168481041ge_p_v @t55)) 122.44/122.87 (define @t57 () (_ tptp.minus_minus_nat tptp.n1)) 122.44/122.87 (define @t58 () (_ @t57 tptp.one_one_nat)) 122.44/122.87 (define @t59 () (@var "I" tptp.nat)) 122.44/122.87 (define @t60 () (@var "Q" (-> tptp.nat Bool))) 122.44/122.87 (define @t61 () (@var "Low" tptp.nat)) 122.44/122.87 (define @t62 () (_ tptp.ord_less_eq_nat @t61)) 122.44/122.87 (define @t63 () (@list @t59)) 122.44/122.87 (define @t64 () (@var "P" (-> tptp.nat Bool))) 122.44/122.87 (define @t65 () (@var "I3" tptp.nat)) 122.44/122.87 (define @t66 () (_ tptp.suc @t65)) 122.44/122.87 (define @t67 () (_ @t64 @t66)) 122.44/122.87 (define @t68 () (_ @t64 @t65)) 122.44/122.87 (define @t69 () (@list @t65)) 122.44/122.87 (define @t70 () (@var "Nat" tptp.nat)) 122.44/122.87 (define @t71 () (@var "Nat3" tptp.nat)) 122.44/122.87 (define @t72 () (_ tptp.suc @t71)) 122.44/122.87 (define @t73 () (@list @t71)) 122.44/122.87 (define @t74 () (_ @t64 tptp.zero_zero_nat)) 122.44/122.87 (define @t75 () (_ tptp.ord_less_eq_nat @t9)) 122.44/122.87 (define @t76 () (not @t45)) 122.44/122.87 (define @t77 () (= @t76 (_ @t75 @t7))) 122.44/122.87 (define @t78 () (forall @t11 @t77)) 122.44/122.87 (define @t79 () (@var "FStepMsg2" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) 122.44/122.87 (define @t80 () (@var "FStepCfg2" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) 122.44/122.87 (define @t81 () (@var "Cfg2" tptp.config256849571t_unit)) 122.44/122.87 (define @t82 () (_ (_ (_ tptp.fLPThe536531371_p_v_s @t81) @t80) @t79)) 122.44/122.87 (define @t83 () (_ @t82 @t3)) 122.44/122.87 (define @t84 () (_ (_ (_ tptp.fLPThe1519354920_p_v_s @t81) @t80) @t79)) 122.44/122.87 (define @t85 () (_ @t84 @t3)) 122.44/122.87 (define @t86 () (@list @t81 @t80 @t79 @t3)) 122.44/122.87 (define @t87 () (_ @t46 @t9)) 122.44/122.87 (define @t88 () (_ tptp.suc tptp.zero_zero_nat)) 122.44/122.87 (define @t89 () (_ tptp.fe tptp.index)) 122.44/122.87 (define @t90 () (_ tptp.size_s1406904903t_unit @t89)) 122.44/122.87 (define @t91 () (_ tptp.minus_minus_nat @t90)) 122.44/122.87 (define @t92 () (_ @t91 @t88)) 122.44/122.87 (define @t93 () (_ tptp.ord_less_nat @t31)) 122.44/122.87 (define @t94 () (= @t41 tptp.zero_zero_nat)) 122.44/122.87 (define @t95 () (_ tptp.ord_less_eq_nat @t41)) 122.44/122.87 (define @t96 () (_ @t95 tptp.zero_zero_nat)) 122.44/122.87 (define @t97 () (@var "K" tptp.nat)) 122.44/122.87 (define @t98 () (@var "Xs3" tptp.list_message_p_v)) 122.44/122.87 (define @t99 () (_ tptp.size_s1168481041ge_p_v @t98)) 122.44/122.87 (define @t100 () (@var "I4" tptp.nat)) 122.44/122.87 (define @t101 () (_ (_ tptp.nth_message_p_v @t98) @t100)) 122.44/122.87 (define @t102 () (@var "P" (-> tptp.nat tptp.message_p_v Bool))) 122.44/122.87 (define @t103 () (_ @t102 @t100)) 122.44/122.87 (define @t104 () (_ tptp.ord_less_nat @t100)) 122.44/122.87 (define @t105 () (_ @t104 @t97)) 122.44/122.87 (define @t106 () (@list @t100)) 122.44/122.87 (define @t107 () (@var "X4" tptp.message_p_v)) 122.44/122.87 (define @t108 () (@var "N5" tptp.nat)) 122.44/122.87 (define @t109 () (_ tptp.suc tptp.index)) 122.44/122.87 (define @t110 () (_ tptp.ft @t109)) 122.44/122.87 (define @t111 () (_ tptp.nth_message_p_v @t110)) 122.44/122.87 (define @t112 () (_ @t111 @t108)) 122.44/122.87 (define @t113 () (_ tptp.size_s1168481041ge_p_v @t110)) 122.44/122.87 (define @t114 () (_ tptp.ord_less_nat @t108)) 122.44/122.87 (define @t115 () (_ @t114 @t113)) 122.44/122.87 (define @t116 () (_ tptp.ord_less_eq_nat tptp.n1)) 122.44/122.87 (define @t117 () (_ @t116 @t108)) 122.44/122.87 (define @t118 () (@list @t108)) 122.44/122.87 (define @t119 () (@var "X" tptp.nat)) 122.44/122.87 (define @t120 () (@var "Y" tptp.nat)) 122.44/122.87 (define @t121 () (= @t119 @t120)) 122.44/122.87 (define @t122 () (@list @t119 @t120)) 122.44/122.87 (define @t123 () (_ tptp.nth_message_p_v @t55)) 122.44/122.87 (define @t124 () (_ @t123 @t108)) 122.44/122.87 (define @t125 () (_ @t114 @t56)) 122.44/122.87 (define @t126 () (_ tptp.ord_less_nat @t13)) 122.44/122.87 (define @t127 () (forall @t22 (_ (_ tptp.ord_less_nat @t19) @t21))) 122.44/122.87 (define @t128 () (_ tptp.minus_minus_nat @t36)) 122.44/122.87 (define @t129 () (_ @t128 @t3)) 122.44/122.87 (define @t130 () (_ @t64 @t3)) 122.44/122.87 (define @t131 () (_ @t64 @t20)) 122.44/122.87 (define @t132 () (_ @t64 @t18)) 122.44/122.87 (define @t133 () (=> @t132 @t131)) 122.44/122.87 (define @t134 () (@list @t64 @t3)) 122.44/122.87 (define @t135 () (@var "Xs" tptp.list_message_p_v)) 122.44/122.87 (define @t136 () (= @t135 tptp.nil_message_p_v)) 122.44/122.87 (define @t137 () (_ tptp.size_s1168481041ge_p_v @t135)) 122.44/122.87 (define @t138 () (@list @t135)) 122.44/122.87 (define @t139 () (@list @t7)) 122.44/122.87 (define @t140 () (@var "P" (-> tptp.list_message_p_v Bool))) 122.44/122.87 (define @t141 () (@var "Xs2" tptp.list_message_p_v)) 122.44/122.87 (define @t142 () (@var "Ys2" tptp.list_message_p_v)) 122.44/122.87 (define @t143 () (_ tptp.size_s1168481041ge_p_v @t141)) 122.44/122.87 (define @t144 () (@list @t141)) 122.44/122.87 (define @t145 () (@var "I2" tptp.nat)) 122.44/122.87 (define @t146 () (_ tptp.minus_minus_nat @t3)) 122.44/122.87 (define @t147 () (_ tptp.ord_less_eq_nat @t145)) 122.44/122.87 (define @t148 () (_ tptp.suc @t145)) 122.44/122.87 (define @t149 () (_ (_ tptp.ord_less_nat @t148) @t97)) 122.44/122.87 (define @t150 () (@var "J" tptp.nat)) 122.44/122.87 (define @t151 () (_ tptp.ord_less_nat @t150)) 122.44/122.87 (define @t152 () (_ @t151 @t97)) 122.44/122.87 (define @t153 () (_ tptp.ord_less_nat @t145)) 122.44/122.87 (define @t154 () (_ @t153 @t150)) 122.44/122.87 (define @t155 () (@list @t145 @t150 @t97)) 122.44/122.87 (define @t156 () (@var "Xb" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) 122.44/122.87 (define @t157 () (@var "Xa" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) 122.44/122.87 (define @t158 () (@var "X" tptp.config256849571t_unit)) 122.44/122.87 (define @t159 () (_ (_ (_ tptp.fLPThe536531371_p_v_s @t158) @t157) @t156)) 122.44/122.87 (define @t160 () (@var "Y" tptp.list_message_p_v)) 122.44/122.87 (define @t161 () (@var "Xc" tptp.nat)) 122.44/122.87 (define @t162 () (_ tptp.minus_minus_nat tptp.zero_zero_nat)) 122.44/122.87 (define @t163 () (@list @t119)) 122.44/122.87 (define @t164 () (_ @t146 @t97)) 122.44/122.87 (define @t165 () (_ @t8 @t97)) 122.44/122.87 (define @t166 () (_ tptp.ord_less_eq_nat @t97)) 122.44/122.87 (define @t167 () (_ @t166 @t3)) 122.44/122.87 (define @t168 () (_ @t166 @t7)) 122.44/122.87 (define @t169 () (@list @t97 @t7 @t3)) 122.44/122.87 (define @t170 () (_ @t64 @t145)) 122.44/122.87 (define @t171 () (_ tptp.ord_less_nat @t65)) 122.44/122.87 (define @t172 () (@list @t145 @t150 @t64)) 122.44/122.87 (define @t173 () (_ tptp.fe @t109)) 122.44/122.87 (define @t174 () (_ tptp.nth_co1649820636t_unit @t173)) 122.44/122.87 (define @t175 () (_ @t174 tptp.n1)) 122.44/122.87 (define @t176 () (_ tptp.nth_co1649820636t_unit @t89)) 122.44/122.87 (define @t177 () (_ @t176 tptp.n1)) 122.44/122.87 (define @t178 () (_ @t64 (_ tptp.suc @t100))) 122.44/122.87 (define @t179 () (_ @t104 @t3)) 122.44/122.87 (define @t180 () (_ @t64 @t100)) 122.44/122.87 (define @t181 () (_ @t104 @t9)) 122.44/122.87 (define @t182 () (@list @t3 @t64)) 122.44/122.87 (define @t183 () (not @t35)) 122.44/122.87 (define @t184 () (_ @t146 tptp.one_one_nat)) 122.44/122.87 (define @t185 () (_ tptp.suc @t184)) 122.44/122.87 (define @t186 () (=> @t33 (= @t185 @t3))) 122.44/122.87 (define @t187 () (forall @t5 @t186)) 122.44/122.87 (define @t188 () (@var "N0" tptp.nat)) 122.44/122.87 (define @t189 () (_ @t64 @t188)) 122.44/122.87 (define @t190 () (@list @t188)) 122.44/122.87 (define @t191 () (@var "X_1" tptp.nat)) 122.44/122.87 (define @t192 () (exists (@list @t191) (_ @t64 @t191))) 122.44/122.87 (define @t193 () (@list @t64)) 122.44/122.87 (define @t194 () (@var "N6" tptp.nat)) 122.44/122.87 (define @t195 () (_ tptp.ord_less_eq_nat tptp.n)) 122.44/122.87 (define @t196 () (@var "N03" tptp.nat)) 122.44/122.87 (define @t197 () (_ tptp.ord_less_eq_nat tptp.n0)) 122.44/122.87 (define @t198 () (_ tptp.ft @t194)) 122.44/122.87 (define @t199 () (_ tptp.ord_less_nat @t196)) 122.44/122.87 (define @t200 () (@list @t196)) 122.44/122.87 (define @t201 () (@var "N02" tptp.nat)) 122.44/122.87 (define @t202 () (_ tptp.ft tptp.n)) 122.44/122.87 (define @t203 () (_ tptp.size_s1168481041ge_p_v @t202)) 122.44/122.87 (define @t204 () (_ tptp.ord_less_nat @t201)) 122.44/122.87 (define @t205 () (@list @t201)) 122.44/122.87 (define @t206 () (@var "B" tptp.nat)) 122.44/122.87 (define @t207 () (_ tptp.ord_less_eq_nat @t206)) 122.44/122.87 (define @t208 () (@var "C" tptp.nat)) 122.44/122.87 (define @t209 () (_ tptp.minus_minus_nat @t208)) 122.44/122.87 (define @t210 () (@list @t41 @t208 @t206)) 122.44/122.87 (define @t211 () (@var "Pr" (-> tptp.nat Bool))) 122.44/122.87 (define @t212 () (@var "N22" tptp.nat)) 122.44/122.87 (define @t213 () (_ tptp.ord_less_nat @t18)) 122.44/122.87 (define @t214 () (@var "Xs3" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t215 () (_ (_ tptp.nth_co1649820636t_unit @t214) @t100)) 122.44/122.87 (define @t216 () (@var "P" (-> tptp.nat tptp.config256849571t_unit Bool))) 122.44/122.87 (define @t217 () (_ @t216 @t100)) 122.44/122.87 (define @t218 () (_ tptp.size_s1406904903t_unit @t214)) 122.44/122.87 (define @t219 () (@var "X4" tptp.config256849571t_unit)) 122.44/122.87 (define @t220 () (not (_ @t64 @t59))) 122.44/122.87 (define @t221 () (@var "K2" tptp.nat)) 122.44/122.87 (define @t222 () (_ tptp.ord_less_nat @t59)) 122.44/122.87 (define @t223 () (@list @t221)) 122.44/122.87 (define @t224 () (not @t74)) 122.44/122.87 (define @t225 () (_ tptp.size_s1406904903t_unit tptp.nil_co1338500125t_unit)) 122.44/122.87 (define @t226 () (@var "Index" tptp.nat)) 122.44/122.87 (define @t227 () (@var "L2" tptp.list_message_p_v)) 122.44/122.87 (define @t228 () (@var "L1" tptp.list_message_p_v)) 122.44/122.87 (define @t229 () (_ tptp.size_s1168481041ge_p_v @t228)) 122.44/122.87 (define @t230 () (_ tptp.ord_less_nat @t226)) 122.44/122.87 (define @t231 () (@list @t226)) 122.44/122.87 (define @t232 () (_ tptp.prefix47729710ge_p_v @t228)) 122.44/122.87 (define @t233 () (_ @t232 @t227)) 122.44/122.87 (define @t234 () (@list @t228 @t227)) 122.44/122.87 (define @t235 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) 122.44/122.87 (define @t236 () (@var "M3" tptp.nat)) 122.44/122.87 (define @t237 () (_ @t64 @t236)) 122.44/122.87 (define @t238 () (_ (_ tptp.ord_less_nat @t236) @t18)) 122.44/122.87 (define @t239 () (@list @t236)) 122.44/122.87 (define @t240 () (@var "Ys" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t241 () (= @t49 @t240)) 122.44/122.87 (define @t242 () (_ tptp.nth_co1649820636t_unit @t49)) 122.44/122.87 (define @t243 () (_ tptp.size_s1406904903t_unit @t49)) 122.44/122.87 (define @t244 () (= @t243 (_ tptp.size_s1406904903t_unit @t240))) 122.44/122.87 (define @t245 () (@list @t49 @t240)) 122.44/122.87 (define @t246 () (_ (_ tptp.ord_less_eq_nat @t36) @t3)) 122.44/122.87 (define @t247 () (@var "L2" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t248 () (@var "L1" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t249 () (_ tptp.size_s1406904903t_unit @t248)) 122.44/122.87 (define @t250 () (_ tptp.prefix1615116500t_unit @t248)) 122.44/122.87 (define @t251 () (_ @t250 @t247)) 122.44/122.87 (define @t252 () (@list @t248 @t247)) 122.44/122.87 (define @t253 () (_ tptp.minus_minus_nat @t145)) 122.44/122.87 (define @t254 () (@var "__flatten_var_0" tptp.nat)) 122.44/122.87 (define @t255 () (@var "N3" tptp.nat)) 122.44/122.87 (define @t256 () (= @t7 @t9)) 122.44/122.87 (define @t257 () (_ @t44 @t9)) 122.44/122.87 (define @t258 () (@var "L" tptp.nat)) 122.44/122.87 (define @t259 () (_ tptp.minus_minus_nat @t258)) 122.44/122.87 (define @t260 () (_ @t259 @t7)) 122.44/122.87 (define @t261 () (_ @t259 @t3)) 122.44/122.87 (define @t262 () (@list @t7 @t3 @t258)) 122.44/122.87 (define @t263 () (_ tptp.ord_less_nat @t36)) 122.44/122.87 (define @t264 () (_ @t263 @t9)) 122.44/122.87 (define @t265 () (_ tptp.enabled_p_v_s (_ tptp.last_c571238084t_unit @t173))) 122.44/122.87 (define @t266 () (@var "M4" tptp.nat)) 122.44/122.87 (define @t267 () (_ tptp.suc @t266)) 122.44/122.87 (define @t268 () (@list @t266)) 122.44/122.87 (define @t269 () (exists @t268 (= @t3 @t267))) 122.44/122.87 (define @t270 () (_ @t42 @t208)) 122.44/122.87 (define @t271 () (_ tptp.ord_less_nat @t41)) 122.44/122.87 (define @t272 () (@var "Y2" tptp.nat)) 122.44/122.87 (define @t273 () (not @t136)) 122.44/122.87 (define @t274 () (=> @t131 @t132)) 122.44/122.87 (define @t275 () (_ @t213 @t150)) 122.44/122.87 (define @t276 () (_ @t147 @t18)) 122.44/122.87 (define @t277 () (_ @t64 @t150)) 122.44/122.87 (define @t278 () (_ @t147 @t150)) 122.44/122.87 (define @t279 () (_ @t174 @t59)) 122.44/122.87 (define @t280 () (_ @t176 @t59)) 122.44/122.87 (define @t281 () (= @t280 @t279)) 122.44/122.87 (define @t282 () (_ @t222 @t90)) 122.44/122.87 (define @t283 () (forall @t63 (=> @t282 @t281))) 122.44/122.87 (define @t284 () (@var "Ys3" tptp.list_message_p_v)) 122.44/122.87 (define @t285 () (@var "Z2" tptp.list_message_p_v)) 122.44/122.87 (define @t286 () (@var "Y5" tptp.list_message_p_v)) 122.44/122.87 (define @t287 () (@var "L3" tptp.list_message_p_v)) 122.44/122.87 (define @t288 () (not @t47)) 122.44/122.87 (define @t289 () (@var "X" tptp.list_message_p_v)) 122.44/122.87 (define @t290 () (_ @t263 @t3)) 122.44/122.87 (define @t291 () (@var "J3" tptp.nat)) 122.44/122.87 (define @t292 () (= @t49 tptp.nil_co1338500125t_unit)) 122.44/122.87 (define @t293 () (not @t292)) 122.44/122.87 (define @t294 () (@list @t49)) 122.44/122.87 (define @t295 () (@var "M2" tptp.nat)) 122.44/122.87 (define @t296 () (= @t295 @t255)) 122.44/122.87 (define @t297 () (@list @t295 @t255)) 122.44/122.87 (define @t298 () (forall @t22 @t274)) 122.44/122.87 (define @t299 () (_ @t64 @t97)) 122.44/122.87 (define @t300 () (_ tptp.nth_message_p_v @t135)) 122.44/122.87 (define @t301 () (=> (_ (_ tptp.ord_less_eq_nat @t150) @t97) (_ @t147 @t97))) 122.44/122.87 (define @t302 () (=> @t278 @t301)) 122.44/122.87 (define @t303 () (forall @t155 @t302)) 122.44/122.87 (define @t304 () (@var "A7" tptp.nat)) 122.44/122.87 (define @t305 () (@var "A6" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) 122.44/122.87 (define @t306 () (@var "A5" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) 122.44/122.87 (define @t307 () (@var "A4" tptp.config256849571t_unit)) 122.44/122.87 (define @t308 () (@var "Q" (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat Bool))) 122.44/122.87 (define @t309 () (@var "FStepMsg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) 122.44/122.87 (define @t310 () (@var "FStepCfg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) 122.44/122.87 (define @t311 () (@var "Cfg" tptp.config256849571t_unit)) 122.44/122.87 (define @t312 () (_ (_ (_ @t308 @t311) @t310) @t309)) 122.44/122.87 (define @t313 () (_ @t312 @t18)) 122.44/122.87 (define @t314 () (@var "P" (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat Bool))) 122.44/122.87 (define @t315 () (_ (_ (_ @t314 @t311) @t310) @t309)) 122.44/122.87 (define @t316 () (_ @t315 @t18)) 122.44/122.87 (define @t317 () (@list @t311 @t310 @t309 @t18)) 122.44/122.87 (define @t318 () (forall @t317 (=> @t316 (=> @t313 (_ @t312 @t20))))) 122.44/122.87 (define @t319 () (@list @t311 @t310 @t309)) 122.44/122.87 (define @t320 () (forall @t319 (_ @t312 tptp.zero_zero_nat))) 122.44/122.87 (define @t321 () (forall @t317 (=> @t316 (=> @t313 (_ @t315 @t20))))) 122.44/122.87 (define @t322 () (forall @t319 (_ @t315 tptp.zero_zero_nat))) 122.44/122.87 (define @t323 () (@var "J2" tptp.nat)) 122.44/122.87 (define @t324 () (_ @t171 @t323)) 122.44/122.87 (define @t325 () (_ @t16 @t7)) 122.44/122.87 (define @t326 () (_ tptp.last_c571238084t_unit @t89)) 122.44/122.87 (define @t327 () (@var "R" (-> tptp.nat tptp.nat Bool))) 122.44/122.87 (define @t328 () (@var "Z" tptp.nat)) 122.44/122.87 (define @t329 () (_ @t327 @t27)) 122.44/122.87 (define @t330 () (_ @t32 @t18)) 122.44/122.87 (define @t331 () (= @t3 @t185)) 122.44/122.87 (define @t332 () (forall @t5 (=> @t33 @t331))) 122.44/122.87 (define @t333 () (_ tptp.fe tptp.n)) 122.44/122.87 (define @t334 () (@var "Ys3" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t335 () (@var "Z2" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t336 () (@var "Y5" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t337 () (= @t31 tptp.zero_zero_nat)) 122.44/122.87 (define @t338 () (_ @t111 @t59)) 122.44/122.87 (define @t339 () (not @t33)) 122.44/122.87 (define @t340 () (_ (_ tptp.firstO1414030372_p_v_s @t173) @t110)) 122.44/122.87 (define @t341 () (_ tptp.ft @t3)) 122.44/122.87 (define @t342 () (@var "Msg" tptp.message_p_v)) 122.44/122.87 (define @t343 () (@var "N1" tptp.nat)) 122.44/122.87 (define @t344 () (_ tptp.ord_less_eq_nat @t343)) 122.44/122.87 (define @t345 () (_ tptp.fe @t3)) 122.44/122.87 (define @t346 () (_ tptp.nth_co1649820636t_unit @t345)) 122.44/122.87 (define @t347 () (= @t3 @t7)) 122.44/122.87 (define @t348 () (= @t37 @t347)) 122.44/122.87 (define @t349 () (_ tptp.enabled_p_v_s @t326)) 122.44/122.87 (define @t350 () (_ @t91 tptp.one_one_nat)) 122.44/122.87 (define @t351 () (_ tptp.size_s1406904903t_unit @t173)) 122.44/122.87 (define @t352 () (_ (_ tptp.minus_minus_nat @t351) tptp.one_one_nat)) 122.44/122.87 (define @t353 () (_ tptp.ord_less_eq_nat @t350)) 122.44/122.87 (define @t354 () (_ (_ tptp.ord_less_eq_nat @t56) @t59)) 122.44/122.87 (define @t355 () (_ @t222 @t113)) 122.44/122.87 (define @t356 () (@var "L3" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t357 () (not @t237)) 122.44/122.87 (define @t358 () (not @t132)) 122.44/122.87 (define @t359 () (_ tptp.suc @t59)) 122.44/122.87 (define @t360 () (@var "M6" tptp.nat)) 122.44/122.87 (define @t361 () (_ tptp.ord_less_nat @t9)) 122.44/122.87 (define @t362 () (_ @t361 @t7)) 122.44/122.87 (define @t363 () (= tptp.one_one_nat @t88)) 122.44/122.87 (define @t364 () (_ tptp.ord_less_nat tptp.n1)) 122.44/122.87 (define @t365 () (forall @t106 (=> @t181 @t180))) 122.44/122.87 (define @t366 () (@var "Y4" tptp.nat)) 122.44/122.87 (define @t367 () (_ @t176 @t58)) 122.44/122.87 (define @t368 () (@var "A3" tptp.nat)) 122.44/122.87 (define @t369 () (@var "A2" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) 122.44/122.87 (define @t370 () (@var "A1" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) 122.44/122.87 (define @t371 () (@var "A0" tptp.config256849571t_unit)) 122.44/122.87 (define @t372 () (@var "M5" tptp.nat)) 122.44/122.87 (define @t373 () (_ @t174 @t58)) 122.44/122.87 (define @t374 () (not (= @t373 @t367))) 122.44/122.87 (define @t375 () (@var "Y" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t376 () (@var "X" tptp.list_c1059388851t_unit)) 122.44/122.87 (define @t377 () (@var "Nat2" tptp.nat)) 122.44/122.87 (define @t378 () (_ tptp.suc @t377)) 122.44/122.87 (define @t379 () (_ @t146 @t7)) 122.44/122.87 (define @t380 () (@var "Ys" tptp.list_message_p_v)) 122.44/122.87 (define @t381 () (= @t135 @t380)) 122.44/122.87 (define @t382 () (= @t137 (_ tptp.size_s1168481041ge_p_v @t380))) 122.44/122.87 (define @t383 () (@list @t135 @t380)) 122.44/122.87 (define @t384 () (@list @t377)) 122.44/122.87 (define @t385 () (@var "T" tptp.nat)) 122.44/122.87 (define @t386 () (@var "S" tptp.nat)) 122.44/122.87 (define @t387 () (_ @t24 @t65)) 122.44/122.87 (define @t388 () (_ tptp.ft @t108)) 122.44/122.87 (define @t389 () (not (forall (@list @t323) (=> (_ @t153 @t323) (not (= @t97 (_ tptp.suc @t323))))))) 122.44/122.87 (define @t390 () (@list @t145 @t97)) 122.44/122.87 (define @t391 () (_ @t153 @t97)) 122.44/122.87 (define @t392 () (lambda @t297 (or @t296 (_ (_ tptp.ord_less_nat @t295) @t255)))) 122.44/122.87 (define @t393 () (@const 0 (@ho-elim-sort (-> tptp.list_c1059388851t_unit tptp.nat)))) 122.44/122.87 (define @t394 () (@const 1 (-> (@ho-elim-sort (-> tptp.list_c1059388851t_unit tptp.nat)) tptp.list_c1059388851t_unit tptp.nat))) 122.44/122.87 (define @t395 () (_ @t394 @t393 tptp.nil_co1338500125t_unit)) 122.44/122.87 (define @t396 () (@const 2 (@ho-elim-sort (-> tptp.nat tptp.nat)))) 122.44/122.87 (define @t397 () (@const 3 (-> (@ho-elim-sort (-> tptp.nat tptp.nat)) tptp.nat tptp.nat))) 122.44/122.87 (define @t398 () (_ @t397 @t396 @t395)) 122.44/122.87 (define @t399 () (@const 4 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)))) 122.44/122.87 (define @t400 () (@const 5 (-> (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)) tptp.nat (@ho-elim-sort (-> tptp.nat tptp.nat))))) 122.44/122.87 (define @t401 () (@const 6 (@ho-elim-sort (-> tptp.nat tptp.nat Bool)))) 122.44/122.87 (define @t402 () (@const 7 (-> (@ho-elim-sort (-> tptp.nat tptp.nat Bool)) tptp.nat (@ho-elim-sort (-> tptp.nat Bool))))) 122.44/122.87 (define @t403 () (_ @t402 @t401 @t395)) 122.44/122.87 (define @t404 () (@const 8 (-> (@ho-elim-sort (-> tptp.nat Bool)) tptp.nat Bool))) 122.44/122.87 (define @t405 () (tptp.size_s1406904903t_unit tptp.nil_co1338500125t_unit)) 122.44/122.87 (define @t406 () (tptp.suc @t405)) 122.44/122.87 (define @t407 () (_ tptp.suc @t225)) 122.44/122.87 (define @t408 () (tptp.minus_minus_nat @t3 @t407)) 122.44/122.87 (define @t409 () (tptp.suc @t408)) 122.44/122.87 (define @t410 () (= @t3 @t409)) 122.44/122.87 (define @t411 () (tptp.ord_less_nat @t225 @t3)) 122.44/122.87 (define @t412 () (not @t411)) 122.44/122.87 (define @t413 () (or @t412 @t410)) 122.44/122.87 (define @t414 () (tptp.minus_minus_nat @t3 tptp.one_one_nat)) 122.44/122.87 (define @t415 () (tptp.suc @t414)) 122.44/122.87 (define @t416 () (= @t3 @t415)) 122.44/122.87 (define @t417 () (tptp.ord_less_nat tptp.zero_zero_nat @t3)) 122.44/122.87 (define @t418 () (not @t417)) 122.44/122.87 (define @t419 () (or @t418 @t416)) 122.44/122.87 (define @t420 () (or @t339 @t331)) 122.44/122.87 (define @t421 () (@const 9 (@ho-elim-sort (-> tptp.nat tptp.list_c1059388851t_unit)))) 122.44/122.87 (define @t422 () (@const 10 (-> (@ho-elim-sort (-> tptp.nat tptp.list_c1059388851t_unit)) tptp.nat tptp.list_c1059388851t_unit))) 122.44/122.87 (define @t423 () (_ @t422 @t421 tptp.index)) 122.44/122.87 (define @t424 () (_ @t394 @t393 @t423)) 122.44/122.87 (define @t425 () (_ @t404 @t403 @t424)) 122.44/122.87 (define @t426 () (_ @t397 (_ @t400 @t399 @t424) @t398)) 122.44/122.87 (define @t427 () (_ @t397 @t396 @t426)) 122.44/122.87 (define @t428 () (= @t424 @t427)) 122.44/122.87 (define @t429 () (not @t425)) 122.44/122.87 (define @t430 () (or @t429 @t428)) 122.44/122.87 (define @t431 () (_ @t397 @t396 @t3)) 122.44/122.87 (define @t432 () (or (= @t7 @t431) (_ @t404 (_ @t402 @t401 @t431) @t7))) 122.44/122.87 (define @t433 () (not @t347)) 122.44/122.87 (define @t434 () (and @t433 (not (_ @t404 (_ @t402 @t401 @t7) @t3)))) 122.44/122.87 (define @t435 () (forall @t11 (= @t432 @t434))) 122.44/122.87 (define @t436 () (tptp.ord_less_nat @t7 @t3)) 122.44/122.87 (define @t437 () (tptp.suc @t3)) 122.44/122.87 (define @t438 () (tptp.ord_less_nat @t437 @t7)) 122.44/122.87 (define @t439 () (and @t433 @t288)) 122.44/122.87 (define @t440 () (or @t256 @t362)) 122.44/122.87 (define @t441 () (= @t440 @t439)) 122.44/122.87 (define @t442 () (= @t440 (not (or @t347 @t47)))) 122.44/122.87 (define @t443 () (or @t35 @t47)) 122.44/122.87 (define @t444 () (@list @t255)) 122.44/122.87 (define @t445 () (lambda @t444 (or (= @t7 @t255) (_ @t46 @t255)))) 122.44/122.87 (define @t446 () (_ @t392 @t7)) 122.44/122.87 (define @t447 () (not (_ @t446 @t3))) 122.44/122.87 (define @t448 () (or (= @t9 @t7) @t362)) 122.44/122.87 (define @t449 () (lambda @t444 (or (= @t9 @t255) (_ @t361 @t255)))) 122.44/122.87 (define @t450 () (_ @t392 @t9)) 122.44/122.87 (define @t451 () (_ @t450 @t7)) 122.44/122.87 (define @t452 () (_ @t397 (_ @t400 @t399 tptp.n1) @t398)) 122.44/122.87 (define @t453 () (= @t452 @t427)) 122.44/122.87 (define @t454 () (or @t453 (_ @t404 (_ @t402 @t401 @t427) @t452))) 122.44/122.87 (define @t455 () (_ @t402 @t401 @t452)) 122.44/122.87 (define @t456 () (_ @t404 @t455 @t426)) 122.44/122.87 (define @t457 () (not @t456)) 122.44/122.87 (define @t458 () (not (= @t426 @t452))) 122.44/122.87 (define @t459 () (and @t458 @t457)) 122.44/122.87 (define @t460 () (= @t459 @t454)) 122.44/122.87 (define @t461 () (forall @t11 (= @t434 @t432))) 122.44/122.87 (define @t462 () (@list false)) 122.44/122.87 (define @t463 () (_ @t91 @t407)) 122.44/122.87 (define @t464 () (_ @t57 @t407)) 122.44/122.87 (define @t465 () (and (not (= @t452 @t426)) @t457)) 122.44/122.87 (define @t466 () (= @t465 @t454)) 122.44/122.87 (define @t467 () (@list true false)) 122.44/122.87 (define @t468 () (_ @t402 @t401 @t145)) 122.44/122.87 (define @t469 () (= @t97 @t145)) 122.44/122.87 (define @t470 () (= @t97 @t150)) 122.44/122.87 (define @t471 () (not @t470)) 122.44/122.87 (define @t472 () (= @t145 @t150)) 122.44/122.87 (define @t473 () (not @t472)) 122.44/122.87 (define @t474 () (forall @t155 (or (and @t473 (not (_ @t404 @t468 @t150))) (and @t471 (not (_ @t404 (_ @t402 @t401 @t150) @t97))) @t469 (_ @t404 @t468 @t97)))) 122.44/122.87 (define @t475 () (tptp.ord_less_nat @t145 @t97)) 122.44/122.87 (define @t476 () (tptp.ord_less_nat @t150 @t97)) 122.44/122.87 (define @t477 () (tptp.ord_less_nat @t145 @t150)) 122.44/122.87 (define @t478 () (not @t152)) 122.44/122.87 (define @t479 () (and @t471 @t478)) 122.44/122.87 (define @t480 () (not @t154)) 122.44/122.87 (define @t481 () (and @t473 @t480)) 122.44/122.87 (define @t482 () (or @t481 @t479 @t469 @t391)) 122.44/122.87 (define @t483 () (or @t479 @t469 @t391)) 122.44/122.87 (define @t484 () (or @t469 @t391)) 122.44/122.87 (define @t485 () (or @t470 @t152)) 122.44/122.87 (define @t486 () (=> @t485 @t484)) 122.44/122.87 (define @t487 () (or @t472 @t154)) 122.44/122.87 (define @t488 () (or (= @t145 @t97) @t391)) 122.44/122.87 (define @t489 () (lambda @t444 (or (= @t145 @t255) (_ @t153 @t255)))) 122.44/122.87 (define @t490 () (_ @t392 @t145)) 122.44/122.87 (define @t491 () (or (= @t150 @t97) @t152)) 122.44/122.87 (define @t492 () (lambda @t444 (or (= @t150 @t255) (_ @t151 @t255)))) 122.44/122.87 (define @t493 () (_ @t392 @t150)) 122.44/122.87 (define @t494 () (=> (_ @t493 @t97) (_ @t490 @t97))) 122.44/122.87 (define @t495 () (=> (_ @t490 @t150) @t494)) 122.44/122.87 (define @t496 () (_ @t404 @t455 @t424)) 122.44/122.87 (define @t497 () (_ @t404 (_ @t402 @t401 @t426) @t424)) 122.44/122.87 (define @t498 () (not @t497)) 122.44/122.87 (define @t499 () (and (not (= @t424 @t426)) @t498)) 122.44/122.87 (define @t500 () (or @t465 @t499 (= @t424 @t452) @t496)) 122.44/122.87 (define @t501 () (@const 11 (@ho-elim-sort (-> tptp.list_c1059388851t_unit tptp.nat tptp.config256849571t_unit)))) 122.44/122.87 (define @t502 () (@const 12 (-> (@ho-elim-sort (-> tptp.list_c1059388851t_unit tptp.nat tptp.config256849571t_unit)) tptp.list_c1059388851t_unit (@ho-elim-sort (-> tptp.nat tptp.config256849571t_unit))))) 122.44/122.87 (define @t503 () (_ @t502 @t501 @t423)) 122.44/122.87 (define @t504 () (@const 13 (-> (@ho-elim-sort (-> tptp.nat tptp.config256849571t_unit)) tptp.nat tptp.config256849571t_unit))) 122.44/122.87 (define @t505 () (_ @t504 @t503 @t59)) 122.44/122.87 (define @t506 () (_ @t502 @t501 (_ @t422 @t421 (_ @t397 @t396 tptp.index)))) 122.44/122.87 (define @t507 () (_ @t504 @t506 @t59)) 122.44/122.87 (define @t508 () (not (_ @t404 (_ @t402 @t401 @t59) @t424))) 122.44/122.87 (define @t509 () (or @t508 (= @t505 @t507))) 122.44/122.87 (define @t510 () (forall @t63 @t509)) 122.44/122.87 (define @t511 () (tptp.suc tptp.index)) 122.44/122.87 (define @t512 () (tptp.fe @t511)) 122.44/122.87 (define @t513 () (tptp.nth_co1649820636t_unit @t512 @t59)) 122.44/122.87 (define @t514 () (tptp.fe tptp.index)) 122.44/122.87 (define @t515 () (tptp.nth_co1649820636t_unit @t514 @t59)) 122.44/122.87 (define @t516 () (tptp.size_s1406904903t_unit @t514)) 122.44/122.87 (define @t517 () (tptp.ord_less_nat @t59 @t516)) 122.44/122.87 (define @t518 () (not @t282)) 122.44/122.87 (define @t519 () (or @t518 @t281)) 122.44/122.87 (define @t520 () (_ @t504 @t506 @t452)) 122.44/122.87 (define @t521 () (_ @t504 @t503 @t452)) 122.44/122.87 (define @t522 () (not @t496)) 122.44/122.87 (define @t523 () (or @t522 (= @t520 @t521))) 122.44/122.87 (define @t524 () (forall @t63 (or @t508 (= @t507 @t505)))) 122.44/122.87 (define @t525 () (= @t521 @t520)) 122.44/122.87 (define @t526 () (= @t367 @t373)) 122.44/122.87 (define @t527 () (or @t522 @t525)) 122.44/122.87 (define @t528 () (= @t452 @t424)) 122.44/122.87 (define @t529 () (or @t465 @t499 @t528 @t496)) 122.44/122.87 (define @t530 () (not @t528)) 122.44/122.87 (define @t531 () (not @t428)) 122.44/122.87 (define @t532 () (not @t453)) 122.44/122.87 (define @t533 () (and @t428 @t532)) 122.44/122.87 (assume @p1 (forall (@list @t1) (not (= tptp.zero_zero_nat @t2)))) 122.44/122.87 (assume @p2 (forall @t5 (not (_ @t4 tptp.zero_zero_nat)))) 122.44/122.87 (assume @p3 (forall @t5 (= (_ @t4 tptp.one_one_nat) @t6))) 122.44/122.87 (assume @p4 (forall @t11 (= @t10 (_ (_ tptp.minus_minus_nat (_ @t8 tptp.one_one_nat)) @t3)))) 122.44/122.87 (assume @p5 (forall @t23 (=> (forall @t22 (_ (_ tptp.ord_less_eq_nat @t21) @t19)) (=> @t17 (_ (_ tptp.ord_less_eq_nat @t15) @t13))))) 122.44/122.87 (assume @p6 (forall (@list @t24 @t7 @t3) (=> (forall @t30 (_ @t28 tptp.zero_zero_nat)) (=> (forall @t29 (_ (_ @t24 tptp.zero_zero_nat) @t26)) (=> (forall (@list @t27 @t25) (=> (_ @t28 @t25) (_ (_ @t24 (_ tptp.suc @t27)) @t26))) (_ (_ @t24 @t7) @t3)))))) 122.44/122.87 (assume @p7 (forall @t11 (_ (_ tptp.ord_less_eq_nat @t31) @t7))) 122.44/122.87 (assume @p8 (forall @t5 (=> @t34 @t33))) 122.44/122.87 (assume @p9 (forall @t40 (=> @t39 (=> @t37 @t35)))) 122.44/122.87 (assume @p10 (forall @t43 (= (_ @t42 tptp.zero_zero_nat) @t41))) 122.44/122.87 (assume @p11 (forall @t11 (=> @t48 @t45))) 122.44/122.87 (assume @p12 (forall (@list @t50 @t49) (=> (forall @t54 (=> (forall (@list @t52) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1406904903t_unit @t52)) @t53) (_ @t50 @t52))) (_ @t50 @t51))) (_ @t50 @t49)))) 122.44/122.87 (assume @p13 (_ (_ tptp.ord_less_nat @t58) @t56)) 122.44/122.87 (assume @p14 (forall (@list @t61 @t64 @t60) (=> (forall @t69 (=> (_ @t62 @t65) (=> @t68 (and (_ @t60 @t65) @t67)))) (=> (_ @t64 @t61) (forall @t63 (=> (_ @t62 @t59) (_ @t60 @t59))))))) 122.44/122.87 (assume @p15 (forall (@list @t64 @t70) (=> @t74 (=> (forall @t73 (=> (_ @t64 @t71) (_ @t64 @t72))) (_ @t64 @t70))))) 122.44/122.87 (assume @p16 @t78) 122.44/122.87 (assume @p17 (forall @t86 (= (_ @t84 @t9) (_ (_ @t80 @t85) @t83)))) 122.44/122.87 (assume @p18 (forall @t11 (= @t87 @t48))) 122.44/122.87 (assume @p19 (_ (_ tptp.ord_less_nat (_ @t57 @t88)) @t92)) 122.44/122.87 (assume @p20 (forall @t11 (_ @t93 @t36))) 122.44/122.87 (assume @p21 (forall @t43 (= @t96 @t94))) 122.44/122.87 (assume @p22 (forall (@list @t97 @t102) (= (forall @t106 (=> @t105 (exists (@list @t107) (_ @t103 @t107)))) (exists (@list @t98) (and (forall @t106 (=> @t105 (_ @t103 @t101))) (= @t99 @t97)))))) 122.44/122.87 (assume @p23 (forall @t23 (=> (forall @t22 (_ (_ tptp.ord_less_eq_nat @t19) @t21)) (=> @t17 (_ (_ tptp.ord_less_eq_nat @t13) @t15))))) 122.44/122.87 (assume @p24 (forall @t118 (=> @t117 (=> @t115 (not (= tptp.msgInSet @t112)))))) 122.44/122.87 (assume @p25 (forall @t122 (=> (not @t121) (=> (not (_ (_ tptp.ord_less_nat @t119) @t120)) (_ (_ tptp.ord_less_nat @t120) @t119))))) 122.44/122.87 (assume @p26 (forall @t118 (=> @t117 (=> @t125 (not (= tptp.msgInSet @t124)))))) 122.44/122.87 (assume @p27 (forall (@list @t12 @t3 @t7) (=> @t127 (= (_ @t126 (_ @t12 @t7)) @t38)))) 122.44/122.87 (assume @p28 (forall (@list @t7 @t3 @t97) (= (_ (_ tptp.minus_minus_nat @t129) (_ tptp.suc @t97)) (_ (_ tptp.minus_minus_nat @t31) @t97)))) 122.44/122.87 (assume @p29 (forall @t134 (=> @t74 (=> (forall @t22 @t133) @t130)))) 122.44/122.87 (assume @p30 (forall @t138 (= (= @t137 tptp.zero_zero_nat) @t136))) 122.44/122.87 (assume @p31 (forall @t139 (= (_ @t8 @t7) tptp.zero_zero_nat))) 122.44/122.87 (assume @p32 (_ @t32 @t90)) 122.44/122.87 (assume @p33 (_ (_ tptp.ord_less_eq_nat tptp.one_one_nat) tptp.one_one_nat)) 122.44/122.87 (assume @p34 (forall (@list @t140 @t135) (=> (forall @t144 (=> (forall (@list @t142) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1168481041ge_p_v @t142)) @t143) (_ @t140 @t142))) (_ @t140 @t141))) (_ @t140 @t135)))) 122.44/122.87 (assume @p35 (forall (@list @t145 @t3) (=> (_ @t147 @t3) (= (_ @t146 (_ @t146 @t145)) @t145)))) 122.44/122.87 (assume @p36 (forall @t5 (exists @t54 (= @t53 @t3)))) 122.44/122.87 (assume @p37 (forall @t155 (=> @t154 (=> @t152 @t149)))) 122.44/122.87 (assume @p38 (forall (@list @t158 @t157 @t156 @t161 @t160) (=> (= (_ @t159 @t161) @t160) (=> (=> (= @t161 tptp.zero_zero_nat) (not (= @t160 tptp.nil_message_p_v))) (not (forall @t22 (=> (= @t161 @t20) (not (= @t160 (_ (_ @t156 (_ (_ (_ (_ tptp.fLPThe1519354920_p_v_s @t158) @t157) @t156) @t18)) (_ @t159 @t18))))))))))) 122.44/122.87 (assume @p39 (forall @t5 (= (_ @t162 @t3) tptp.zero_zero_nat))) 122.44/122.87 (assume @p40 (forall @t163 (= (= tptp.one_one_nat @t119) (= @t119 tptp.one_one_nat)))) 122.44/122.87 (assume @p41 (forall @t11 (=> @t47 @t87))) 122.44/122.87 (assume @p42 (forall @t169 (=> @t168 (=> @t167 (= (_ (_ tptp.minus_minus_nat @t165) @t164) @t31))))) 122.44/122.87 (assume @p43 (forall @t5 (= (_ @t16 tptp.zero_zero_nat) @t6))) 122.44/122.87 (assume @p44 (forall (@list @t81 @t80 @t79) (= (_ @t82 tptp.zero_zero_nat) tptp.nil_message_p_v))) 122.44/122.87 (assume @p45 (forall @t172 (=> @t154 (=> (forall @t69 (=> (= @t150 @t66) @t68)) (=> (forall @t69 (=> (_ @t171 @t150) (=> @t67 @t68))) @t170))))) 122.44/122.87 (assume @p46 (= @t177 @t175)) 122.44/122.87 (assume @p47 (forall @t182 (= (exists @t106 (and @t181 @t180)) (or (exists @t106 (and @t179 @t178)) @t74)))) 122.44/122.87 (assume @p48 (_ (_ tptp.enabled_p_v_s @t175) tptp.msgInSet)) 122.44/122.87 (assume @p49 (forall @t11 (=> @t45 (=> @t183 @t47)))) 122.44/122.87 (assume @p50 @t187) 122.44/122.87 (assume @p51 (forall @t193 (=> @t192 (exists @t190 (and @t189 (or (not (_ @t64 (_ (_ tptp.minus_minus_nat @t188) tptp.one_one_nat))) (= @t188 tptp.zero_zero_nat))))))) 122.44/122.87 (assume @p52 (=> (exists @t205 (and (_ @t204 @t203) (= (_ (_ tptp.nth_message_p_v @t202) @t201) tptp.msg) (_ @t197 @t201))) (exists (@list @t194) (and (exists @t200 (and (= tptp.msg (_ (_ tptp.nth_message_p_v @t198) @t196)) (_ @t199 (_ tptp.size_s1168481041ge_p_v @t198)) (_ @t197 @t196))) (_ @t195 @t194))))) 122.44/122.87 (assume @p53 (forall @t193 (=> @t192 (exists @t190 (and @t189 (forall @t118 (=> (_ @t64 @t108) (_ (_ tptp.ord_less_eq_nat @t188) @t108)))))))) 122.44/122.87 (assume @p54 (forall @t210 (=> (_ @t95 @t208) (=> (_ @t207 @t208) (= (_ (_ tptp.ord_less_eq_nat (_ @t209 @t41)) (_ @t209 @t206)) (_ @t207 @t41)))))) 122.44/122.87 (assume @p55 (forall @t5 (_ @t32 @t9))) 122.44/122.87 (assume @p56 (forall (@list @t212 @t211) (=> (_ @t32 @t212) (=> (_ @t211 tptp.zero_zero_nat) (=> (not (_ @t211 @t212)) (exists @t22 (and (_ @t213 @t212) (not (_ @t211 @t20)) (_ @t211 @t18)))))))) 122.44/122.87 (assume @p57 (forall (@list @t97 @t216) (= (forall @t106 (=> @t105 (exists (@list @t219) (_ @t217 @t219)))) (exists (@list @t214) (and (= @t218 @t97) (forall @t106 (=> @t105 (_ @t217 @t215)))))))) 122.44/122.87 (assume @p58 (forall @t134 (=> @t130 (=> @t224 (exists @t223 (and (_ (_ tptp.ord_less_eq_nat @t221) @t3) (_ @t64 @t221) (forall @t63 (=> (_ @t222 @t221) @t220)))))))) 122.44/122.87 (assume @p59 (forall @t40 (=> @t38 (= (_ tptp.suc @t10) @t31)))) 122.44/122.87 (assume @p60 (= @t225 tptp.zero_zero_nat)) 122.44/122.87 (assume @p61 (forall @t234 (=> @t233 (forall @t231 (=> (_ @t230 @t229) (= (_ (_ tptp.nth_message_p_v @t228) @t226) (_ (_ tptp.nth_message_p_v @t227) @t226))))))) 122.44/122.87 (assume @p62 (forall @t163 (_ @t235 @t119))) 122.44/122.87 (assume @p63 (forall @t134 (=> (forall @t22 (=> (forall @t239 (=> @t238 @t237)) @t132)) @t130))) 122.44/122.87 (assume @p64 (forall @t245 (=> @t244 (=> (forall @t69 (=> (_ @t171 @t243) (= (_ @t242 @t65) (_ (_ tptp.nth_co1649820636t_unit @t240) @t65)))) @t241)))) 122.44/122.87 (assume @p65 (forall @t234 (=> @t233 (_ (_ tptp.ord_less_nat @t229) (_ tptp.size_s1168481041ge_p_v @t227))))) 122.44/122.87 (assume @p66 (forall @t11 (= @t246 @t47))) 122.44/122.87 (assume @p67 (forall @t252 (=> @t251 (_ (_ tptp.ord_less_nat @t249) (_ tptp.size_s1406904903t_unit @t247))))) 122.44/122.87 (assume @p68 (forall @t11 (= @t183 (or @t47 @t38)))) 122.44/122.87 (assume @p69 (forall @t155 (= (_ (_ tptp.minus_minus_nat (_ @t253 @t150)) @t97) (_ (_ tptp.minus_minus_nat (_ @t253 @t97)) @t150)))) 122.44/122.87 (assume @p70 (forall @t5 (not (_ @t75 @t3)))) 122.44/122.87 (assume @p71 (forall (@list @t70 @t1) (=> (= @t70 @t2) (not (= @t70 tptp.zero_zero_nat))))) 122.44/122.87 (assume @p72 (= tptp.ord_less_nat (lambda (@list @t255 @t254) (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t255)) @t254)))) 122.44/122.87 (assume @p73 (forall @t11 (=> @t257 (=> @t76 @t256)))) 122.44/122.87 (assume @p74 (forall @t5 (_ @t4 @t9))) 122.44/122.87 (assume @p75 (forall @t262 (=> @t45 (_ (_ tptp.ord_less_eq_nat @t261) @t260)))) 122.44/122.87 (assume @p76 (forall @t11 (= @t264 @t47))) 122.44/122.87 (assume @p77 (_ @t265 tptp.msgInSet)) 122.44/122.87 (assume @p78 (forall @t5 (=> @t33 @t269))) 122.44/122.87 (assume @p79 (_ @t32 tptp.n1)) 122.44/122.87 (assume @p80 (forall (@list @t41 @t206 @t208) (=> (_ @t271 @t206) (=> (_ (_ tptp.ord_less_eq_nat @t208) @t41) (_ (_ tptp.ord_less_nat @t270) (_ (_ tptp.minus_minus_nat @t206) @t208)))))) 122.44/122.87 (assume @p81 (forall (@list @t1 @t272) (= (= @t2 (_ tptp.suc @t272)) (= @t1 @t272)))) 122.44/122.87 (assume @p82 (forall @t11 (=> @t45 @t257))) 122.44/122.87 (assume @p83 (forall @t138 (= (_ @t32 @t137) @t273))) 122.44/122.87 (assume @p84 (forall @t172 (=> @t278 (=> @t277 (=> (forall @t22 (=> @t276 (=> @t275 @t274))) @t170))))) 122.44/122.87 (assume @p85 @t283) 122.44/122.87 (assume @p86 (forall @t43 (= (_ @t162 @t41) tptp.zero_zero_nat))) 122.44/122.87 (assume @p87 (forall (@list @t3 @t145) (=> @t33 (_ (_ tptp.ord_less_nat (_ @t146 @t148)) @t3)))) 122.44/122.87 (assume @p88 (= (lambda (@list @t286 @t285) (= @t286 @t285)) (lambda (@list @t98 @t284) (and (= @t99 (_ tptp.size_s1168481041ge_p_v @t284)) (forall @t106 (=> (_ @t104 @t99) (= @t101 (_ (_ tptp.nth_message_p_v @t284) @t100)))))))) 122.44/122.87 (assume @p89 (forall (@list @t228 @t227 @t287) (=> @t233 (=> (_ (_ tptp.prefix47729710ge_p_v @t227) @t287) (_ @t232 @t287))))) 122.44/122.87 (assume @p90 (forall @t11 (=> @t87 (=> @t288 @t35)))) 122.44/122.87 (assume @p91 (forall @t43 (= (not @t94) (_ @t32 @t41)))) 122.44/122.87 (assume @p92 (forall (@list @t289 @t160) (=> (not (= (_ tptp.size_s1168481041ge_p_v @t289) (_ tptp.size_s1168481041ge_p_v @t160))) (not (= @t289 @t160))))) 122.44/122.87 (assume @p93 (forall @t11 (=> @t47 (=> (not (= @t36 @t3)) @t290)))) 122.44/122.87 (assume @p94 (forall @t134 (=> @t130 (=> @t224 (exists @t223 (and (_ (_ tptp.ord_less_nat @t221) @t3) (forall @t63 (=> (_ (_ tptp.ord_less_eq_nat @t59) @t221) @t220)) (_ @t64 (_ tptp.suc @t221)))))))) 122.44/122.87 (assume @p95 (not (_ (_ tptp.ord_less_nat tptp.one_one_nat) tptp.one_one_nat))) 122.44/122.87 (assume @p96 (forall @t11 (=> @t246 @t45))) 122.44/122.87 (assume @p97 (forall @t11 (= @t87 (or (= @t7 tptp.zero_zero_nat) (exists (@list @t291) (and (= @t7 (_ tptp.suc @t291)) (_ (_ tptp.ord_less_nat @t291) @t3))))))) 122.44/122.87 (assume @p98 (forall @t294 (= (_ @t32 @t243) @t293))) 122.44/122.87 (assume @p99 (= tptp.ord_less_nat (lambda @t297 (and (not @t296) (_ (_ tptp.ord_less_eq_nat @t295) @t255))))) 122.44/122.87 (assume @p100 (forall (@list @t64 @t97) (=> @t299 (=> @t298 @t74)))) 122.44/122.87 (assume @p101 (forall @t23 (=> @t127 (=> (_ @t4 @t14) (_ @t126 @t15))))) 122.44/122.87 (assume @p102 (forall @t138 (=> @t273 (= (_ tptp.last_message_p_v @t135) (_ @t300 (_ (_ tptp.minus_minus_nat @t137) tptp.one_one_nat)))))) 122.44/122.87 (assume @p103 (forall @t11 (= @t257 (or @t45 @t256)))) 122.44/122.87 (assume @p104 (forall @t43 (not (_ @t271 tptp.zero_zero_nat)))) 122.44/122.87 (assume @p105 @t303) 122.44/122.87 (assume @p106 (forall @t122 (=> (= (_ tptp.suc @t119) (_ tptp.suc @t120)) @t121))) 122.44/122.87 (assume @p107 (forall (@list @t314 @t308 @t307 @t306 @t305 @t304) (=> @t322 (=> @t321 (=> @t320 (=> @t318 (_ (_ (_ (_ @t308 @t307) @t306) @t305) @t304))))))) 122.44/122.87 (assume @p108 (not (= @t89 tptp.nil_co1338500125t_unit))) 122.44/122.87 (assume @p109 (forall (@list @t12 @t145 @t150) (=> (forall (@list @t65 @t323) (=> @t324 (_ (_ tptp.ord_less_nat (_ @t12 @t65)) (_ @t12 @t323)))) (=> @t278 (_ (_ tptp.ord_less_eq_nat (_ @t12 @t145)) (_ @t12 @t150)))))) 122.44/122.87 (assume @p110 (forall @t40 (= (_ @t75 @t36) @t325))) 122.44/122.87 (assume @p111 (= (_ @t174 @t92) @t326)) 122.44/122.87 (assume @p112 (forall (@list @t7 @t3 @t327) (=> @t45 (=> (forall @t30 (_ @t329 @t27)) (=> (forall (@list @t27 @t25 @t328) (=> (_ @t329 @t25) (=> (_ (_ @t327 @t25) @t328) (_ @t329 @t328)))) (=> (forall @t22 (_ (_ @t327 @t18) @t20)) (_ (_ @t327 @t7) @t3))))))) 122.44/122.87 (assume @p113 (= (_ tptp.size_s1168481041ge_p_v tptp.nil_message_p_v) tptp.zero_zero_nat)) 122.44/122.87 (assume @p114 (forall @t182 (=> @t33 (=> (_ @t64 tptp.one_one_nat) (=> (forall @t22 (=> @t330 @t133)) @t130))))) 122.44/122.87 (assume @p115 @t332) 122.44/122.87 (assume @p116 (forall @t5 (=> @t34 @t269))) 122.44/122.87 (assume @p117 (_ (_ tptp.ord_less_nat tptp.n0) (_ tptp.size_s1406904903t_unit @t333))) 122.44/122.87 (assume @p118 (= (lambda (@list @t336 @t335) (= @t336 @t335)) (lambda (@list @t214 @t334) (and (forall @t106 (=> (_ @t104 @t218) (= @t215 (_ (_ tptp.nth_co1649820636t_unit @t334) @t100)))) (= @t218 (_ tptp.size_s1406904903t_unit @t334)))))) 122.44/122.87 (assume @p119 (forall @t11 (= @t337 @t45))) 122.44/122.87 (assume @p120 (forall @t63 (=> (_ @t222 @t56) (= (_ @t123 @t59) @t338)))) 122.44/122.87 (assume @p121 (forall @t262 (=> @t47 (=> (_ @t46 @t258) (_ (_ tptp.ord_less_nat @t261) @t260))))) 122.44/122.87 (assume @p122 (forall @t5 (= @t33 (exists (@list @t295) (= @t3 (_ tptp.suc @t295)))))) 122.44/122.87 (assume @p123 (forall @t5 (= @t339 @t6))) 122.44/122.87 (assume @p124 (forall @t5 (not (_ @t4 @t3)))) 122.44/122.87 (assume @p125 (_ (_ @t340 tptp.msgInSet) tptp.n1)) 122.44/122.87 (assume @p126 (forall (@list @t343 @t212 @t3 @t342) (=> (and (_ @t344 @t212) (_ (_ tptp.ord_less_nat @t212) (_ tptp.size_s1406904903t_unit @t345)) (_ (_ tptp.enabled_p_v_s (_ @t346 @t343)) @t342)) (or (_ (_ tptp.enabled_p_v_s (_ @t346 @t212)) @t342) (exists @t200 (and (_ @t344 @t196) (= (_ (_ tptp.nth_message_p_v @t341) @t196) @t342) (_ @t199 (_ tptp.size_s1168481041ge_p_v @t341)))))))) 122.44/122.87 (assume @p127 (forall @t172 (=> @t278 (=> @t170 (=> (forall @t22 (=> @t276 (=> @t275 @t133))) @t277))))) 122.44/122.87 (assume @p128 (_ @t265 tptp.msg)) 122.44/122.87 (assume @p129 (forall @t11 (=> @t45 (=> @t325 @t35)))) 122.44/122.87 (assume @p130 (forall @t40 (=> @t39 @t348))) 122.44/122.87 (assume @p131 (_ @t349 tptp.msg)) 122.44/122.87 (assume @p132 (forall @t11 (=> @t47 @t34))) 122.44/122.87 (assume @p133 (_ (_ tptp.enabled_p_v_s (_ @t176 @t350)) tptp.msgInSet)) 122.44/122.87 (assume @p134 (_ @t353 @t352)) 122.44/122.87 (assume @p135 (forall @t169 (=> @t168 (=> @t167 (= (_ (_ tptp.ord_less_eq_nat @t165) @t164) @t45))))) 122.44/122.87 (assume @p136 (forall @t40 (=> @t33 (=> (_ @t32 @t7) (_ @t93 @t7))))) 122.44/122.87 (assume @p137 (forall @t11 (= (_ @t128 @t9) @t31))) 122.44/122.87 (assume @p138 (_ @t116 tptp.nMsg)) 122.44/122.87 (assume @p139 (forall @t210 (= (_ (_ tptp.minus_minus_nat @t270) @t206) (_ (_ tptp.minus_minus_nat (_ @t42 @t206)) @t208)))) 122.44/122.87 (assume @p140 (not (exists @t63 (and @t355 @t354 (= tptp.msg @t338))))) 122.44/122.87 (assume @p141 (forall (@list @t248 @t247 @t356) (=> @t251 (=> (_ (_ tptp.prefix1615116500t_unit @t247) @t356) (_ @t250 @t356))))) 122.44/122.87 (assume @p142 (forall @t11 (=> @t290 @t47))) 122.44/122.87 (assume @p143 (forall @t11 (=> @t47 @t264))) 122.44/122.87 (assume @p144 (forall @t134 (=> (forall @t22 (=> @t358 (exists @t239 (and @t238 @t357)))) @t130))) 122.44/122.87 (assume @p145 (_ @t32 tptp.one_one_nat)) 122.44/122.87 (assume @p146 (_ @t235 tptp.zero_zero_nat)) 122.44/122.87 (assume @p147 (forall @t63 (_ (_ tptp.prefix1615116500t_unit (_ tptp.fe @t59)) (_ tptp.fe @t359)))) 122.44/122.87 (assume @p148 (forall (@list @t64 @t97 @t145) (=> @t299 (=> @t298 (_ @t64 (_ (_ tptp.minus_minus_nat @t97) @t145)))))) 122.44/122.87 (assume @p149 (forall @t139 (not (= @t36 tptp.zero_zero_nat)))) 122.44/122.87 (assume @p150 (forall @t11 (= @t288 @t37))) 122.44/122.87 (assume @p151 (forall @t40 (=> @t38 @t183))) 122.44/122.87 (assume @p152 (forall @t252 (=> @t251 (forall @t231 (=> (_ @t230 @t249) (= (_ (_ tptp.nth_co1649820636t_unit @t248) @t226) (_ (_ tptp.nth_co1649820636t_unit @t247) @t226))))))) 122.44/122.87 (assume @p153 (forall @t5 (= @t33 @t34))) 122.44/122.87 (assume @p154 (forall @t5 (not (= @t3 @t9)))) 122.44/122.87 (assume @p155 (forall @t294 (= (= @t243 tptp.zero_zero_nat) @t292))) 122.44/122.87 (assume @p156 (forall @t5 (= (_ (_ tptp.minus_minus_nat @t9) tptp.one_one_nat) @t3))) 122.44/122.87 (assume @p157 (forall @t40 (= @t362 (exists (@list @t360) (and (= @t7 (_ tptp.suc @t360)) (_ @t4 @t360)))))) 122.44/122.87 (assume @p158 (forall @t5 (= @t34 @t33))) 122.44/122.87 (assume @p159 (forall @t5 (_ @t16 @t3))) 122.44/122.87 (assume @p160 (forall @t182 (= (exists @t106 (and @t180 @t181)) (or @t130 (exists @t106 (and @t179 @t180)))))) 122.44/122.87 (assume @p161 @t363) 122.44/122.87 (assume @p162 (forall @t11 (or @t325 @t45))) 122.44/122.87 (assume @p163 (forall @t43 (=> @t96 @t94))) 122.44/122.87 (assume @p164 (_ (_ tptp.ord_less_nat @t350) @t90)) 122.44/122.87 (assume @p165 (forall @t11 (=> @t45 @t348))) 122.44/122.87 (assume @p166 (forall @t11 (=> @t47 @t246))) 122.44/122.87 (assume @p167 (_ @t364 @t90)) 122.44/122.87 (assume @p168 (_ (_ tptp.enabled_p_v_s (_ (_ tptp.nth_co1649820636t_unit @t333) tptp.n0)) tptp.msg)) 122.44/122.87 (assume @p169 (forall @t5 (exists @t144 (= @t143 @t3)))) 122.44/122.87 (assume @p170 (forall @t182 (= @t365 (and @t74 (forall @t106 (=> @t179 @t178)))))) 122.44/122.87 (assume @p171 (forall @t134 (=> (forall @t22 (=> (forall @t239 (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t236)) @t18) @t237)) @t132)) @t130))) 122.44/122.87 (assume @p172 (forall @t86 (= (_ @t82 @t9) (_ (_ @t79 @t85) @t83)))) 122.44/122.87 (assume @p173 (forall @t182 (= @t365 (and (forall @t106 (=> @t179 @t180)) @t130)))) 122.44/122.87 (assume @p174 (forall (@list @t64 @t97 @t206) (=> @t299 (=> (forall @t29 (=> (_ @t64 @t25) (_ (_ tptp.ord_less_eq_nat @t25) @t206))) (exists @t30 (and (_ @t64 @t27) (forall (@list @t366) (=> (_ @t64 @t366) (_ (_ tptp.ord_less_eq_nat @t366) @t27))))))))) 122.44/122.87 (assume @p175 (_ (_ tptp.enabled_p_v_s @t367) tptp.msgInSet)) 122.44/122.87 (assume @p176 (forall @t11 (=> @t264 @t47))) 122.44/122.87 (assume @p177 (_ @t349 tptp.msgInSet)) 122.44/122.87 (assume @p178 (forall (@list @t7 @t3 @t64) (=> @t45 (=> (_ @t64 @t7) (=> (forall @t22 (=> (_ @t44 @t18) @t133)) @t130))))) 122.44/122.87 (assume @p179 (_ (_ tptp.ord_less_nat tptp.nMsg) @t351)) 122.44/122.87 (assume @p180 (forall @t11 (=> @t47 @t45))) 122.44/122.87 (assume @p181 (_ (_ @t340 tptp.msg) tptp.nMsg)) 122.44/122.87 (assume @p182 (forall (@list @t150 @t97 @t3) (=> @t152 (_ (_ tptp.ord_less_nat (_ (_ tptp.minus_minus_nat @t150) @t3)) @t97)))) 122.44/122.87 (assume @p183 (forall (@list @t314 @t308 @t371 @t370 @t369 @t368) (=> @t322 (=> @t321 (=> @t320 (=> @t318 (_ (_ (_ (_ @t314 @t371) @t370) @t369) @t368))))))) 122.44/122.87 (assume @p184 (forall (@list @t3 @t372) (=> (_ @t75 @t372) (exists @t268 (= @t372 @t267))))) 122.44/122.87 (assume @p185 @t374) 122.44/122.87 (assume @p186 (forall (@list @t376 @t375) (=> (not (= (_ tptp.size_s1406904903t_unit @t376) (_ tptp.size_s1406904903t_unit @t375))) (not (= @t376 @t375))))) 122.44/122.87 (assume @p187 (forall @t5 (= (_ @t4 @t88) @t6))) 122.44/122.87 (assume @p188 (forall @t5 (=> @t33 (= (_ tptp.suc (_ @t146 @t88)) @t3)))) 122.44/122.87 (assume @p189 (forall @t5 (_ @t235 @t3))) 122.44/122.87 (assume @p190 (_ @t364 @t351)) 122.44/122.87 (assume @p191 (forall @t11 (=> @t45 @t337))) 122.44/122.87 (assume @p192 (forall @t11 (=> @t45 @t87))) 122.44/122.87 (assume @p193 (forall (@list @t70 @t377) (= (= (_ tptp.suc @t70) @t378) (= @t70 @t377)))) 122.44/122.87 (assume @p194 (forall @t245 (=> (not @t244) (not @t241)))) 122.44/122.87 (assume @p195 (_ (_ tptp.enabled_p_v_s (_ tptp.last_c571238084t_unit @t333)) tptp.msg)) 122.44/122.87 (assume @p196 (forall @t11 (=> @t337 (=> (= @t379 tptp.zero_zero_nat) @t35)))) 122.44/122.87 (assume @p197 (forall @t118 (=> (_ (_ tptp.ord_less_eq_nat tptp.nMsg) @t108) (=> @t115 (not (= tptp.msg @t112)))))) 122.44/122.87 (assume @p198 (forall @t169 (=> @t168 (=> @t167 (= (_ (_ tptp.ord_less_nat @t165) @t164) @t47))))) 122.44/122.87 (assume @p199 (_ (_ tptp.enabled_p_v_s (_ @t174 @t352)) tptp.msg)) 122.44/122.87 (assume @p200 (_ (_ tptp.enabled_p_v_s (_ @t174 tptp.nMsg)) tptp.msg)) 122.44/122.87 (assume @p201 (forall (@list @t120) (=> (not (= @t120 tptp.zero_zero_nat)) (not (forall @t73 (not (= @t120 @t72))))))) 122.44/122.87 (assume @p202 (forall @t40 (=> @t325 (= @t129 (_ tptp.suc @t31))))) 122.44/122.87 (assume @p203 (forall @t383 (=> (not @t382) (not @t381)))) 122.44/122.87 (assume @p204 (forall @t384 (not (= @t378 tptp.zero_zero_nat)))) 122.44/122.87 (assume @p205 (forall (@list @t386 @t385) (=> (_ (_ tptp.ord_less_nat @t386) @t385) (not (= @t386 @t385))))) 122.44/122.87 (assume @p206 (forall @t139 (not (= tptp.zero_zero_nat @t36)))) 122.44/122.87 (assume @p207 (forall @t134 (=> @t74 (=> (forall @t22 (=> @t330 (=> @t358 (exists @t239 (and @t357 @t238))))) @t130)))) 122.44/122.87 (assume @p208 (forall @t43 (_ @t235 @t41))) 122.44/122.87 (assume @p209 (forall @t169 (=> @t168 (=> @t167 (= (= @t165 @t164) @t35))))) 122.44/122.87 (assume @p210 (forall @t262 (=> @t45 (_ (_ tptp.ord_less_eq_nat (_ @t8 @t258)) (_ @t146 @t258))))) 122.44/122.87 (assume @p211 (forall @t11 (=> @t246 @t47))) 122.44/122.87 (assume @p212 (forall @t63 (=> @t355 (=> @t354 (not (= @t338 tptp.msg)))))) 122.44/122.87 (assume @p213 (forall @t63 (=> (_ @t222 @t351) (=> (_ @t353 @t59) (_ (_ tptp.enabled_p_v_s @t279) tptp.msg))))) 122.44/122.87 (assume @p214 (forall @t11 (=> @t35 @t45))) 122.44/122.87 (assume @p215 (_ (_ tptp.enabled_p_v_s @t177) tptp.msgInSet)) 122.44/122.87 (assume @p216 (forall @t11 (= @t87 @t45))) 122.44/122.87 (assume @p217 (forall (@list @t145 @t150 @t24) (=> @t154 (=> (forall @t69 (_ @t387 @t66)) (=> (forall (@list @t65 @t323 @t221) (=> @t324 (=> (_ (_ tptp.ord_less_nat @t323) @t221) (=> (_ @t387 @t323) (=> (_ (_ @t24 @t323) @t221) (_ @t387 @t221)))))) (_ (_ @t24 @t145) @t150)))))) 122.44/122.87 (assume @p218 (forall @t294 (=> @t293 (= (_ tptp.last_c571238084t_unit @t49) (_ @t242 (_ (_ tptp.minus_minus_nat @t243) tptp.one_one_nat)))))) 122.44/122.87 (assume @p219 (forall @t118 (=> (_ @t195 @t108) (forall @t205 (=> (_ @t204 (_ tptp.size_s1168481041ge_p_v @t388)) (=> (_ (_ tptp.ord_less_eq_nat @t203) @t201) (not (= tptp.msg (_ (_ tptp.nth_message_p_v @t388) @t201))))))))) 122.44/122.87 (assume @p220 (forall @t40 (=> @t33 (= @t129 (_ @t8 @t184))))) 122.44/122.87 (assume @p221 (_ (_ tptp.ord_less_nat @t56) @t113)) 122.44/122.87 (assume @p222 (forall @t384 (not (= tptp.zero_zero_nat @t378)))) 122.44/122.87 (assume @p223 (forall @t118 (=> @t117 (=> @t125 (= @t124 @t112))))) 122.44/122.87 (assume @p224 (forall @t390 (=> @t149 @t389))) 122.44/122.87 (assume @p225 (not (= tptp.msgInSet (_ @t123 @t58)))) 122.44/122.87 (assume @p226 (forall @t139 (= (_ @t8 tptp.zero_zero_nat) @t7))) 122.44/122.87 (assume @p227 (forall @t63 (_ (_ tptp.prefix47729710ge_p_v (_ tptp.ft @t59)) (_ tptp.ft @t359)))) 122.44/122.87 (assume @p228 (forall @t43 (= (_ @t42 @t41) tptp.zero_zero_nat))) 122.44/122.87 (assume @p229 (not (= @t173 tptp.nil_co1338500125t_unit))) 122.44/122.87 (assume @p230 (forall @t390 (=> @t391 (=> (not (= @t97 @t148)) @t389)))) 122.44/122.87 (assume @p231 (forall @t40 (= (_ @t32 @t379) @t47))) 122.44/122.87 (assume @p232 (not (_ @t32 tptp.zero_zero_nat))) 122.44/122.87 (assume @p233 (forall @t163 (= (= tptp.zero_zero_nat @t119) (= @t119 tptp.zero_zero_nat)))) 122.44/122.87 (assume @p234 (forall @t383 (=> @t382 (=> (forall @t69 (=> (_ @t171 @t137) (= (_ @t300 @t65) (_ (_ tptp.nth_message_p_v @t380) @t65)))) @t381)))) 122.44/122.87 (assume @p235 true) 122.44/122.87 (step @p236 (= tptp.ord_less_eq_nat @t392) :rule refl :args (@t392)) 122.44/122.87 ; WARNING: add trust step for TRUST 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p237 :rule trust :premises () :args ((= (forall @t5 (or (not (tptp.ord_less_nat @t405 @t3)) (= @t3 (tptp.suc (tptp.minus_minus_nat @t3 @t406))))) (forall @t5 (or (not (_ @t404 @t403 @t3)) (= @t3 (_ @t397 @t396 (_ @t397 (_ @t400 @t399 @t3) @t398)))))))) 122.44/122.87 (step @p238 :rule refl :args ((tptp.suc @t225))) 122.44/122.87 (step @p239 :rule refl :args (@t405)) 122.44/122.87 (step @p240 :rule cong :premises (@p239) :args (@t406)) 122.44/122.87 (step @p241 :rule trans :premises (@p240 @p238)) 122.44/122.87 (step @p242 :rule refl :args (tptp.suc)) 122.44/122.87 (step @p243 :rule ho_cong :premises (@p242 @p239)) 122.44/122.87 (step @p244 :rule cong :premises (@p243 @p241) :args ((= (_ tptp.suc @t405) @t406))) 122.44/122.87 (step @p245 :rule symm :premises (@p244)) 122.44/122.87 (step @p246 :rule refl :args (@t407)) 122.44/122.87 (step @p247 :rule eq_resolve :premises (@p246 @p245)) 122.44/122.87 (step @p248 :rule refl :args (@t225)) 122.44/122.87 (step @p249 :rule cong :premises (@p248 @p239) :args ((= @t225 @t405))) 122.44/122.87 (step @p250 :rule symm :premises (@p249)) 122.44/122.87 (step @p251 :rule eq_resolve :premises (@p248 @p250)) 122.44/122.87 (step @p252 :rule ho_cong :premises (@p242 @p251)) 122.44/122.87 (step @p253 :rule trans :premises (@p252 @p247)) 122.44/122.87 (step @p254 :rule refl :args (@t3)) 122.44/122.87 (step @p255 :rule cong :premises (@p254 @p253) :args (@t408)) 122.44/122.87 (step @p256 :rule cong :premises (@p255) :args (@t409)) 122.44/122.87 (step @p257 :rule cong :premises (@p254 @p256) :args (@t410)) 122.44/122.87 (step @p258 :rule cong :premises (@p251 @p254) :args (@t411)) 122.44/122.87 (step @p259 :rule cong :premises (@p258) :args (@t412)) 122.44/122.87 (step @p260 :rule nary_cong :premises (@p259 @p257) :args (@t413)) 122.44/122.87 (step @p261 :rule cong :premises (@p260) :args ((forall @t5 @t413))) 122.44/122.87 (step @p262 :rule symm :premises (@p60)) 122.44/122.87 (step @p263 :rule refl :args (tptp.suc)) 122.44/122.87 (step @p264 :rule ho_cong :premises (@p263 @p262)) 122.44/122.87 (step @p265 :rule refl :args (tptp.one_one_nat)) 122.44/122.87 (step @p266 :rule cong :premises (@p265 @p264) :args (@t363)) 122.44/122.87 (step @p267 :rule eq_resolve :premises (@p161 @p266)) 122.44/122.87 (step @p268 :rule refl :args (@t3)) 122.44/122.87 (step @p269 :rule cong :premises (@p268 @p267) :args (@t414)) 122.44/122.87 (step @p270 :rule cong :premises (@p269) :args (@t415)) 122.44/122.87 (step @p271 :rule cong :premises (@p268 @p270) :args (@t416)) 122.44/122.87 (step @p272 :rule cong :premises (@p262 @p268) :args (@t417)) 122.44/122.87 (step @p273 :rule cong :premises (@p272) :args (@t418)) 122.44/122.87 (step @p274 :rule nary_cong :premises (@p273 @p271) :args (@t419)) 122.44/122.87 (step @p275 :rule cong :premises (@p274) :args ((forall @t5 @t419))) 122.44/122.87 (step @p276 :rule trans :premises (@p275 @p261)) 122.44/122.87 (step @p277 :rule refl :args ((tptp.suc @t184))) 122.44/122.87 (step @p278 :rule refl :args (@t414)) 122.44/122.87 (step @p279 :rule cong :premises (@p278) :args (@t415)) 122.44/122.87 (step @p280 :rule trans :premises (@p279 @p277)) 122.44/122.87 (step @p281 :rule ho_cong :premises (@p242 @p278)) 122.44/122.87 (step @p282 :rule cong :premises (@p281 @p280) :args ((= (_ tptp.suc @t414) @t415))) 122.44/122.87 (step @p283 :rule symm :premises (@p282)) 122.44/122.87 (step @p284 :rule refl :args (@t185)) 122.44/122.87 (step @p285 :rule eq_resolve :premises (@p284 @p283)) 122.44/122.87 (step @p286 :rule refl :args (@t184)) 122.44/122.87 (step @p287 :rule cong :premises (@p286 @p278) :args ((= @t184 @t414))) 122.44/122.87 (step @p288 :rule symm :premises (@p287)) 122.44/122.87 (step @p289 :rule eq_resolve :premises (@p286 @p288)) 122.44/122.87 (step @p290 :rule ho_cong :premises (@p242 @p289)) 122.44/122.87 (step @p291 :rule trans :premises (@p290 @p285)) 122.44/122.87 (step @p292 :rule cong :premises (@p254 @p291) :args (@t331)) 122.44/122.87 (step @p293 :rule refl :args (@t417)) 122.44/122.87 (step @p294 :rule refl :args (@t33)) 122.44/122.87 (step @p295 :rule cong :premises (@p294 @p293) :args ((= @t33 @t417))) 122.44/122.87 (step @p296 :rule symm :premises (@p295)) 122.44/122.87 (step @p297 :rule eq_resolve :premises (@p294 @p296)) 122.44/122.87 (step @p298 :rule cong :premises (@p297) :args (@t339)) 122.44/122.87 (step @p299 :rule nary_cong :premises (@p298 @p292) :args (@t420)) 122.44/122.87 (step @p300 :rule cong :premises (@p299) :args ((forall @t5 @t420))) 122.44/122.87 (step @p301 :rule bool-impl-elim :args (@t33 @t331)) 122.44/122.87 (step @p302 :rule cong :premises (@p301) :args (@t332)) 122.44/122.87 (step @p303 :rule trans :premises (@p302 @p300)) 122.44/122.87 (step @p304 :rule eq-symm :args (@t185 @t3)) 122.44/122.87 (step @p305 :rule refl :args (@t33)) 122.44/122.87 (step @p306 :rule cong :premises (@p305 @p304) :args (@t186)) 122.44/122.87 (step @p307 :rule cong :premises (@p306) :args (@t187)) 122.44/122.87 (step @p308 :rule trans :premises (@p307 @p303)) 122.44/122.87 (step @p309 :rule trans :premises (@p308 @p276 @p237)) 122.44/122.87 (step @p310 :rule eq_resolve :premises (@p50 @p309)) 122.44/122.87 (step @p311 :rule instantiate :premises (@p310) :args ((@list @t424))) 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p312 :rule trust :premises () :args ((= (_ (_ tptp.ord_less_nat @t225) @t90) @t425))) 122.44/122.87 (step @p313 :rule refl :args (@t90)) 122.44/122.87 (step @p314 :rule refl :args (tptp.ord_less_nat)) 122.44/122.87 (step @p315 :rule ho_cong :premises (@p314 @p262)) 122.44/122.87 (step @p316 :rule ho_cong :premises (@p315 @p313)) 122.44/122.87 (step @p317 :rule trans :premises (@p316 @p312)) 122.44/122.87 (step @p318 :rule eq_resolve :premises (@p32 @p317)) 122.44/122.87 (step @p319 :rule cnf_or_pos :args (@t430)) 122.44/122.87 (step @p320 :rule reordering :premises (@p319) :args ((or @t429 @t428 (not @t430)))) 122.44/122.87 (step @p321 :rule chain_resolution :premises (@p320 @p318 @p311) :args ((@list false false) (@list @t425 @t430))) 122.44/122.87 (step @p322 :rule eq-symm :args (@t432 @t434)) 122.44/122.87 (step @p323 :rule cong :premises (@p322) :args (@t435)) 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p324 :rule trust :premises () :args ((= (forall @t11 (= (or (= @t7 @t437) @t438) (and @t433 (not @t436)))) @t435))) 122.44/122.87 (step @p325 :rule refl :args (@t436)) 122.44/122.87 (step @p326 :rule refl :args (@t47)) 122.44/122.87 (step @p327 :rule cong :premises (@p326 @p325) :args ((= @t47 @t436))) 122.44/122.87 (step @p328 :rule symm :premises (@p327)) 122.44/122.87 (step @p329 :rule eq_resolve :premises (@p326 @p328)) 122.44/122.87 (step @p330 :rule cong :premises (@p329) :args (@t288)) 122.44/122.87 (step @p331 :rule refl :args (@t433)) 122.44/122.87 (step @p332 :rule nary_cong :premises (@p331 @p330) :args (@t439)) 122.44/122.87 (step @p333 :rule refl :args ((tptp.ord_less_nat @t9 @t7))) 122.44/122.87 (step @p334 :rule refl :args (@t7)) 122.44/122.87 (step @p335 :rule refl :args (@t437)) 122.44/122.87 (step @p336 :rule cong :premises (@p335 @p334) :args (@t438)) 122.44/122.87 (step @p337 :rule trans :premises (@p336 @p333)) 122.44/122.87 (step @p338 :rule refl :args (tptp.ord_less_nat)) 122.44/122.87 (step @p339 :rule ho_cong :premises (@p338 @p335)) 122.44/122.87 (step @p340 :rule ho_cong :premises (@p339 @p334)) 122.44/122.87 (step @p341 :rule cong :premises (@p340 @p337) :args ((= (_ (_ tptp.ord_less_nat @t437) @t7) @t438))) 122.44/122.87 (step @p342 :rule symm :premises (@p341)) 122.44/122.87 (step @p343 :rule refl :args (@t362)) 122.44/122.87 (step @p344 :rule eq_resolve :premises (@p343 @p342)) 122.44/122.87 (step @p345 :rule refl :args (@t9)) 122.44/122.87 (step @p346 :rule cong :premises (@p345 @p335) :args ((= @t9 @t437))) 122.44/122.87 (step @p347 :rule symm :premises (@p346)) 122.44/122.87 (step @p348 :rule eq_resolve :premises (@p345 @p347)) 122.44/122.87 (step @p349 :rule ho_cong :premises (@p338 @p348)) 122.44/122.87 (step @p350 :rule ho_cong :premises (@p349 @p334)) 122.44/122.87 (step @p351 :rule trans :premises (@p350 @p344)) 122.44/122.87 (step @p352 :rule cong :premises (@p334 @p348) :args (@t256)) 122.44/122.87 (step @p353 :rule nary_cong :premises (@p352 @p351) :args (@t440)) 122.44/122.87 (step @p354 :rule cong :premises (@p353 @p332) :args (@t441)) 122.44/122.87 (step @p355 :rule cong :premises (@p354) :args ((forall @t11 @t441))) 122.44/122.87 (step @p356 :rule bool-or-de-morgan :args (@t347 @t47 false)) 122.44/122.87 (step @p357 :rule refl :args (@t440)) 122.44/122.87 (step @p358 :rule cong :premises (@p357 @p356) :args (@t442)) 122.44/122.87 (step @p359 :rule cong :premises (@p358) :args ((forall @t11 @t442))) 122.44/122.87 (step @p360 :rule trans :premises (@p359 @p355)) 122.44/122.87 (step @p361 :rule refl :args (@t47)) 122.44/122.87 (step @p362 :rule eq-symm :args (@t7 @t3)) 122.44/122.87 (step @p363 :rule nary_cong :premises (@p362 @p361) :args (@t443)) 122.44/122.87 (step @p364 :rule beta-reduce :args ((= (_ @t445 @t3) @t443))) 122.44/122.87 (step @p365 :rule trans :premises (@p364 @p363)) 122.44/122.87 (step @p366 :rule beta-reduce :args ((= @t446 @t445))) 122.44/122.87 (step @p367 :rule ho_cong :premises (@p366 @p268)) 122.44/122.87 (step @p368 :rule trans :premises (@p367 @p365)) 122.44/122.87 (step @p369 :rule cong :premises (@p368) :args (@t447)) 122.44/122.87 (step @p370 :rule refl :args (@t362)) 122.44/122.87 (step @p371 :rule eq-symm :args (@t9 @t7)) 122.44/122.87 (step @p372 :rule nary_cong :premises (@p371 @p370) :args (@t448)) 122.44/122.87 (step @p373 :rule beta-reduce :args ((= (_ @t449 @t7) @t448))) 122.44/122.87 (step @p374 :rule trans :premises (@p373 @p372)) 122.44/122.87 (step @p375 :rule refl :args (@t7)) 122.44/122.87 (step @p376 :rule beta-reduce :args ((= @t450 @t449))) 122.44/122.87 (step @p377 :rule ho_cong :premises (@p376 @p375)) 122.44/122.87 (step @p378 :rule trans :premises (@p377 @p374)) 122.44/122.87 (step @p379 :rule cong :premises (@p378 @p369) :args ((= @t451 @t447))) 122.44/122.87 (step @p380 :rule eq-symm :args (@t447 @t451)) 122.44/122.87 (step @p381 :rule trans :premises (@p380 @p379)) 122.44/122.87 (step @p382 :rule cong :premises (@p381) :args ((forall @t11 (= @t447 @t451)))) 122.44/122.87 (step @p383 :rule trans :premises (@p382 @p360)) 122.44/122.87 (step @p384 :rule refl :args (@t9)) 122.44/122.87 (step @p385 :rule ho_cong :premises (@p236 @p384)) 122.44/122.87 (step @p386 :rule ho_cong :premises (@p385 @p375)) 122.44/122.87 (step @p387 :rule ho_cong :premises (@p236 @p375)) 122.44/122.87 (step @p388 :rule ho_cong :premises (@p387 @p268)) 122.44/122.87 (step @p389 :rule cong :premises (@p388) :args (@t76)) 122.44/122.87 (step @p390 :rule cong :premises (@p389 @p386) :args (@t77)) 122.44/122.87 (step @p391 :rule cong :premises (@p390) :args (@t78)) 122.44/122.87 (step @p392 :rule trans :premises (@p391 @p383)) 122.44/122.87 (step @p393 :rule trans :premises (@p392 @p324 @p323)) 122.44/122.87 (step @p394 :rule eq_resolve :premises (@p16 @p393)) 122.44/122.87 (step @p395 :rule refl :args (@t454)) 122.44/122.87 (step @p396 :rule refl :args (@t457)) 122.44/122.87 (step @p397 :rule eq-symm :args (@t426 @t452)) 122.44/122.87 (step @p398 :rule cong :premises (@p397) :args (@t458)) 122.44/122.87 (step @p399 :rule nary_cong :premises (@p398 @p396) :args (@t459)) 122.44/122.87 (step @p400 :rule cong :premises (@p399 @p395) :args (@t460)) 122.44/122.87 (step @p401 :rule refl :args (@t461)) 122.44/122.87 (step @p402 :rule cong :premises (@p401 @p400) :args ((=> @t461 @t460))) 122.44/122.87 (assume-push @p659 @t461) 122.44/122.87 (step @p404 :rule instantiate :premises (@p394) :args ((@list @t452 @t426))) 122.44/122.87 (step-pop @p659 :rule scope :premises (@p404)) 122.44/122.87 (step @p405 :rule process_scope :premises (@p659) :args (@t460)) 122.44/122.87 (step @p407 :rule eq_resolve :premises (@p405 @p402)) 122.44/122.87 (step @p408 :rule implies_elim :premises (@p407)) 122.44/122.87 (step @p409 :rule chain_resolution :premises (@p408 @p394) :args (@t462 (@list @t461))) 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p410 :rule trust :premises () :args ((= (_ (_ tptp.ord_less_nat @t464) @t463) @t456))) 122.44/122.87 (step @p411 :rule refl :args (@t91)) 122.44/122.87 (step @p412 :rule ho_cong :premises (@p411 @p264)) 122.44/122.87 (step @p413 :rule refl :args (@t57)) 122.44/122.87 (step @p414 :rule ho_cong :premises (@p413 @p264)) 122.44/122.87 (step @p415 :rule ho_cong :premises (@p314 @p414)) 122.44/122.87 (step @p416 :rule ho_cong :premises (@p415 @p412)) 122.44/122.87 (step @p417 :rule trans :premises (@p416 @p410)) 122.44/122.87 (step @p418 :rule eq_resolve :premises (@p19 @p417)) 122.44/122.87 (step @p419 :rule cnf_and_pos :args (@t465 1)) 122.44/122.87 (step @p420 :rule reordering :premises (@p419) :args ((or @t457 (not @t465)))) 122.44/122.87 (step @p421 :rule chain_resolution :premises (@p420 @p418) :args (@t462 (@list @t456))) 122.44/122.87 (step @p422 :rule cnf_equiv_pos2 :args (@t466)) 122.44/122.87 (step @p423 :rule reordering :premises (@p422) :args ((or @t465 (not @t454) (not @t466)))) 122.44/122.87 (step @p424 :rule chain_resolution :premises (@p423 @p421 @p409) :args (@t467 (@list @t465 @t466))) 122.44/122.87 (step @p425 :rule cnf_or_neg :args (@t454 0)) 122.44/122.87 (step @p426 :rule chain_resolution :premises (@p425 @p424) :args ((@list true) (@list @t454))) 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p427 :rule trust :premises () :args ((= (forall @t155 (or (and @t473 (not @t477)) (and @t471 (not @t476)) @t469 @t475)) @t474))) 122.44/122.87 (step @p428 :rule refl :args (@t475)) 122.44/122.87 (step @p429 :rule refl :args (@t391)) 122.44/122.87 (step @p430 :rule cong :premises (@p429 @p428) :args ((= @t391 @t475))) 122.44/122.87 (step @p431 :rule symm :premises (@p430)) 122.44/122.87 (step @p432 :rule eq_resolve :premises (@p429 @p431)) 122.44/122.87 (step @p433 :rule refl :args (@t469)) 122.44/122.87 (step @p434 :rule refl :args (@t476)) 122.44/122.87 (step @p435 :rule refl :args (@t152)) 122.44/122.87 (step @p436 :rule cong :premises (@p435 @p434) :args ((= @t152 @t476))) 122.44/122.87 (step @p437 :rule symm :premises (@p436)) 122.44/122.87 (step @p438 :rule eq_resolve :premises (@p435 @p437)) 122.44/122.87 (step @p439 :rule cong :premises (@p438) :args (@t478)) 122.44/122.87 (step @p440 :rule refl :args (@t471)) 122.44/122.87 (step @p441 :rule nary_cong :premises (@p440 @p439) :args (@t479)) 122.44/122.87 (step @p442 :rule refl :args (@t477)) 122.44/122.87 (step @p443 :rule refl :args (@t154)) 122.44/122.87 (step @p444 :rule cong :premises (@p443 @p442) :args ((= @t154 @t477))) 122.44/122.87 (step @p445 :rule symm :premises (@p444)) 122.44/122.87 (step @p446 :rule eq_resolve :premises (@p443 @p445)) 122.44/122.87 (step @p447 :rule cong :premises (@p446) :args (@t480)) 122.44/122.87 (step @p448 :rule refl :args (@t473)) 122.44/122.87 (step @p449 :rule nary_cong :premises (@p448 @p447) :args (@t481)) 122.44/122.87 (step @p450 :rule nary_cong :premises (@p449 @p441 @p433 @p432) :args (@t482)) 122.44/122.87 (step @p451 :rule cong :premises (@p450) :args ((forall @t155 @t482))) 122.44/122.87 (step @p452 :rule aci_norm :args ((= (or @t481 @t483) @t482))) 122.44/122.87 (step @p453 :rule aci_norm :args ((= (or @t479 @t484) @t483))) 122.44/122.87 (step @p454 :rule refl :args (@t484)) 122.44/122.87 (step @p455 :rule bool-or-de-morgan :args (@t470 @t152 false)) 122.44/122.87 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or (not @t485) @t484))) 122.44/122.87 (step @p457 :rule trans :premises (@p456 @p453)) 122.44/122.87 (step @p458 :rule bool-impl-elim :args (@t485 @t484)) 122.44/122.87 (step @p459 :rule trans :premises (@p458 @p457)) 122.44/122.87 (step @p460 :rule bool-or-de-morgan :args (@t472 @t154 false)) 122.44/122.87 (step @p461 :rule nary_cong :premises (@p460 @p459) :args ((or (not @t487) @t486))) 122.44/122.87 (step @p462 :rule trans :premises (@p461 @p452)) 122.44/122.87 (step @p463 :rule bool-impl-elim :args (@t487 @t486)) 122.44/122.87 (step @p464 :rule trans :premises (@p463 @p462)) 122.44/122.87 (step @p465 :rule cong :premises (@p464) :args ((forall @t155 (=> @t487 @t486)))) 122.44/122.87 (step @p466 :rule trans :premises (@p465 @p451)) 122.44/122.87 (step @p467 :rule refl :args (@t391)) 122.44/122.87 (step @p468 :rule eq-symm :args (@t145 @t97)) 122.44/122.87 (step @p469 :rule nary_cong :premises (@p468 @p467) :args (@t488)) 122.44/122.87 (step @p470 :rule beta-reduce :args ((= (_ @t489 @t97) @t488))) 122.44/122.87 (step @p471 :rule trans :premises (@p470 @p469)) 122.44/122.87 (step @p472 :rule refl :args (@t97)) 122.44/122.87 (step @p473 :rule beta-reduce :args ((= @t490 @t489))) 122.44/122.87 (step @p474 :rule ho_cong :premises (@p473 @p472)) 122.44/122.87 (step @p475 :rule trans :premises (@p474 @p471)) 122.44/122.87 (step @p476 :rule refl :args (@t152)) 122.44/122.87 (step @p477 :rule eq-symm :args (@t150 @t97)) 122.44/122.87 (step @p478 :rule nary_cong :premises (@p477 @p476) :args (@t491)) 122.44/122.87 (step @p479 :rule beta-reduce :args ((= (_ @t492 @t97) @t491))) 122.44/122.87 (step @p480 :rule trans :premises (@p479 @p478)) 122.44/122.87 (step @p481 :rule beta-reduce :args ((= @t493 @t492))) 122.44/122.87 (step @p482 :rule ho_cong :premises (@p481 @p472)) 122.44/122.87 (step @p483 :rule trans :premises (@p482 @p480)) 122.44/122.87 (step @p484 :rule cong :premises (@p483 @p475) :args (@t494)) 122.44/122.87 (step @p485 :rule beta-reduce :args ((= (_ @t489 @t150) @t487))) 122.44/122.87 (step @p486 :rule refl :args (@t150)) 122.44/122.87 (step @p487 :rule ho_cong :premises (@p473 @p486)) 122.44/122.87 (step @p488 :rule trans :premises (@p487 @p485)) 122.44/122.87 (step @p489 :rule cong :premises (@p488 @p484) :args (@t495)) 122.44/122.87 (step @p490 :rule cong :premises (@p489) :args ((forall @t155 @t495))) 122.44/122.87 (step @p491 :rule trans :premises (@p490 @p466)) 122.44/122.87 (step @p492 :rule refl :args (@t145)) 122.44/122.87 (step @p493 :rule ho_cong :premises (@p236 @p492)) 122.44/122.87 (step @p494 :rule ho_cong :premises (@p493 @p472)) 122.44/122.87 (step @p495 :rule ho_cong :premises (@p236 @p486)) 122.44/122.87 (step @p496 :rule ho_cong :premises (@p495 @p472)) 122.44/122.87 (step @p497 :rule cong :premises (@p496 @p494) :args (@t301)) 122.44/122.87 (step @p498 :rule ho_cong :premises (@p493 @p486)) 122.44/122.87 (step @p499 :rule cong :premises (@p498 @p497) :args (@t302)) 122.44/122.87 (step @p500 :rule cong :premises (@p499) :args (@t303)) 122.44/122.87 (step @p501 :rule trans :premises (@p500 @p491)) 122.44/122.87 (step @p502 :rule trans :premises (@p501 @p427)) 122.44/122.87 (step @p503 :rule eq_resolve :premises (@p105 @p502)) 122.44/122.87 (step @p504 :rule refl :args (@t496)) 122.44/122.87 (step @p505 :rule eq-symm :args (@t424 @t452)) 122.44/122.87 (step @p506 :rule refl :args (@t499)) 122.44/122.87 (step @p507 :rule refl :args (@t465)) 122.44/122.87 (step @p508 :rule nary_cong :premises (@p507 @p506 @p505 @p504) :args (@t500)) 122.44/122.87 (step @p509 :rule refl :args (@t474)) 122.44/122.87 (step @p510 :rule cong :premises (@p509 @p508) :args ((=> @t474 @t500))) 122.44/122.87 (assume-push @p661 @t474) 122.44/122.87 (step @p512 :rule instantiate :premises (@p503) :args ((@list @t452 @t426 @t424))) 122.44/122.87 (step-pop @p661 :rule scope :premises (@p512)) 122.44/122.87 (step @p513 :rule process_scope :premises (@p661) :args (@t500)) 122.44/122.87 (step @p515 :rule eq_resolve :premises (@p513 @p510)) 122.44/122.87 (step @p516 :rule implies_elim :premises (@p515)) 122.44/122.87 (step @p517 :rule chain_resolution :premises (@p516 @p503) :args (@t462 (@list @t474))) 122.44/122.87 (step @p518 :rule eq-symm :args (@t505 @t507)) 122.44/122.87 (step @p519 :rule refl :args (@t508)) 122.44/122.87 (step @p520 :rule nary_cong :premises (@p519 @p518) :args (@t509)) 122.44/122.87 (step @p521 :rule cong :premises (@p520) :args (@t510)) 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p522 :rule trust :premises () :args ((= (forall @t63 (or (not @t517) (= @t515 @t513))) @t510))) 122.44/122.87 (step @p523 :rule refl :args ((tptp.nth_co1649820636t_unit @t173 @t59))) 122.44/122.87 (step @p524 :rule refl :args (@t59)) 122.44/122.87 (step @p525 :rule refl :args ((tptp.fe @t109))) 122.44/122.87 (step @p526 :rule refl :args (@t511)) 122.44/122.87 (step @p527 :rule cong :premises (@p526) :args (@t512)) 122.44/122.87 (step @p528 :rule trans :premises (@p527 @p525)) 122.44/122.87 (step @p529 :rule cong :premises (@p528 @p524) :args (@t513)) 122.44/122.87 (step @p530 :rule trans :premises (@p529 @p523)) 122.44/122.87 (step @p531 :rule refl :args (tptp.nth_co1649820636t_unit)) 122.44/122.87 (step @p532 :rule ho_cong :premises (@p531 @p528)) 122.44/122.87 (step @p533 :rule ho_cong :premises (@p532 @p524)) 122.44/122.87 (step @p534 :rule cong :premises (@p533 @p530) :args ((= (_ (_ tptp.nth_co1649820636t_unit @t512) @t59) @t513))) 122.44/122.87 (step @p535 :rule symm :premises (@p534)) 122.44/122.87 (step @p536 :rule refl :args (@t279)) 122.44/122.87 (step @p537 :rule eq_resolve :premises (@p536 @p535)) 122.44/122.87 (step @p538 :rule refl :args (tptp.fe)) 122.44/122.87 (step @p539 :rule ho_cong :premises (@p538 @p526)) 122.44/122.87 (step @p540 :rule cong :premises (@p539 @p528) :args ((= (_ tptp.fe @t511) @t512))) 122.44/122.87 (step @p541 :rule symm :premises (@p540)) 122.44/122.87 (step @p542 :rule refl :args (@t173)) 122.44/122.87 (step @p543 :rule eq_resolve :premises (@p542 @p541)) 122.44/122.87 (step @p544 :rule refl :args (@t109)) 122.44/122.87 (step @p545 :rule cong :premises (@p544 @p526) :args ((= @t109 @t511))) 122.44/122.87 (step @p546 :rule symm :premises (@p545)) 122.44/122.87 (step @p547 :rule eq_resolve :premises (@p544 @p546)) 122.44/122.87 (step @p548 :rule ho_cong :premises (@p538 @p547)) 122.44/122.87 (step @p549 :rule trans :premises (@p548 @p543)) 122.44/122.87 (step @p550 :rule ho_cong :premises (@p531 @p549)) 122.44/122.87 (step @p551 :rule ho_cong :premises (@p550 @p524)) 122.44/122.87 (step @p552 :rule trans :premises (@p551 @p537)) 122.44/122.87 (step @p553 :rule refl :args ((tptp.nth_co1649820636t_unit @t89 @t59))) 122.44/122.87 (step @p554 :rule refl :args (@t514)) 122.44/122.87 (step @p555 :rule cong :premises (@p554 @p524) :args (@t515)) 122.44/122.87 (step @p556 :rule trans :premises (@p555 @p553)) 122.44/122.87 (step @p557 :rule ho_cong :premises (@p531 @p554)) 122.44/122.87 (step @p558 :rule ho_cong :premises (@p557 @p524)) 122.44/122.87 (step @p559 :rule cong :premises (@p558 @p556) :args ((= (_ (_ tptp.nth_co1649820636t_unit @t514) @t59) @t515))) 122.44/122.87 (step @p560 :rule symm :premises (@p559)) 122.44/122.87 (step @p561 :rule refl :args (@t280)) 122.44/122.87 (step @p562 :rule eq_resolve :premises (@p561 @p560)) 122.44/122.87 (step @p563 :rule refl :args (@t89)) 122.44/122.87 (step @p564 :rule cong :premises (@p563 @p554) :args ((= @t89 @t514))) 122.44/122.87 (step @p565 :rule symm :premises (@p564)) 122.44/122.87 (step @p566 :rule eq_resolve :premises (@p563 @p565)) 122.44/122.87 (step @p567 :rule ho_cong :premises (@p531 @p566)) 122.44/122.87 (step @p568 :rule ho_cong :premises (@p567 @p524)) 122.44/122.87 (step @p569 :rule trans :premises (@p568 @p562)) 122.44/122.87 (step @p570 :rule cong :premises (@p569 @p552) :args (@t281)) 122.44/122.87 (step @p571 :rule refl :args ((tptp.ord_less_nat @t59 @t90))) 122.44/122.87 (step @p572 :rule refl :args ((tptp.size_s1406904903t_unit @t89))) 122.44/122.87 (step @p573 :rule cong :premises (@p554) :args (@t516)) 122.44/122.87 (step @p574 :rule trans :premises (@p573 @p572)) 122.44/122.87 (step @p575 :rule cong :premises (@p524 @p574) :args (@t517)) 122.44/122.87 (step @p576 :rule trans :premises (@p575 @p571)) 122.44/122.87 (step @p577 :rule refl :args (@t222)) 122.44/122.87 (step @p578 :rule ho_cong :premises (@p577 @p574)) 122.44/122.87 (step @p579 :rule cong :premises (@p578 @p576) :args ((= (_ @t222 @t516) @t517))) 122.44/122.87 (step @p580 :rule symm :premises (@p579)) 122.44/122.87 (step @p581 :rule refl :args (@t282)) 122.44/122.87 (step @p582 :rule eq_resolve :premises (@p581 @p580)) 122.44/122.87 (step @p583 :rule refl :args (tptp.size_s1406904903t_unit)) 122.44/122.87 (step @p584 :rule ho_cong :premises (@p583 @p554)) 122.44/122.87 (step @p585 :rule cong :premises (@p584 @p574) :args ((= (_ tptp.size_s1406904903t_unit @t514) @t516))) 122.44/122.87 (step @p586 :rule symm :premises (@p585)) 122.44/122.87 (step @p587 :rule refl :args (@t90)) 122.44/122.87 (step @p588 :rule eq_resolve :premises (@p587 @p586)) 122.44/122.87 (step @p589 :rule ho_cong :premises (@p583 @p566)) 122.44/122.87 (step @p590 :rule trans :premises (@p589 @p588)) 122.44/122.87 (step @p591 :rule ho_cong :premises (@p577 @p590)) 122.44/122.87 (step @p592 :rule trans :premises (@p591 @p582)) 122.44/122.87 (step @p593 :rule cong :premises (@p592) :args (@t518)) 122.44/122.87 (step @p594 :rule nary_cong :premises (@p593 @p570) :args (@t519)) 122.44/122.87 (step @p595 :rule cong :premises (@p594) :args ((forall @t63 @t519))) 122.44/122.87 (step @p596 :rule bool-impl-elim :args (@t282 @t281)) 122.44/122.87 (step @p597 :rule cong :premises (@p596) :args (@t283)) 122.44/122.87 (step @p598 :rule trans :premises (@p597 @p595)) 122.44/122.87 (step @p599 :rule trans :premises (@p598 @p522 @p521)) 122.44/122.87 (step @p600 :rule eq_resolve :premises (@p85 @p599)) 122.44/122.87 (step @p601 :rule eq-symm :args (@t520 @t521)) 122.44/122.87 (step @p602 :rule refl :args (@t522)) 122.44/122.87 (step @p603 :rule nary_cong :premises (@p602 @p601) :args (@t523)) 122.44/122.87 (step @p604 :rule refl :args (@t524)) 122.44/122.87 (step @p605 :rule cong :premises (@p604 @p603) :args ((=> @t524 @t523))) 122.44/122.87 (assume-push @p663 @t524) 122.44/122.87 (step @p607 :rule instantiate :premises (@p600) :args ((@list @t452))) 122.44/122.87 (step-pop @p663 :rule scope :premises (@p607)) 122.44/122.87 (step @p608 :rule process_scope :premises (@p663) :args (@t523)) 122.44/122.87 (step @p610 :rule eq_resolve :premises (@p608 @p605)) 122.44/122.87 (step @p611 :rule implies_elim :premises (@p610)) 122.44/122.87 (step @p612 :rule chain_resolution :premises (@p611 @p600) :args (@t462 (@list @t524))) 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p613 :rule trust :premises () :args ((= (not (= (_ @t176 @t464) (_ @t174 @t464))) (not @t525)))) 122.44/122.87 (step @p614 :rule ho_cong :premises (@p413 @p267)) 122.44/122.87 (step @p615 :rule refl :args (@t174)) 122.44/122.87 (step @p616 :rule ho_cong :premises (@p615 @p614)) 122.44/122.87 (step @p617 :rule refl :args (@t176)) 122.44/122.87 (step @p618 :rule ho_cong :premises (@p617 @p614)) 122.44/122.87 (step @p619 :rule cong :premises (@p618 @p616) :args (@t526)) 122.44/122.87 (step @p620 :rule cong :premises (@p619) :args ((not @t526))) 122.44/122.87 (step @p621 :rule eq-symm :args (@t373 @t367)) 122.44/122.87 (step @p622 :rule cong :premises (@p621) :args (@t374)) 122.44/122.87 (step @p623 :rule trans :premises (@p622 @p620 @p613)) 122.44/122.87 (step @p624 :rule eq_resolve :premises (@p185 @p623)) 122.44/122.87 (step @p625 :rule cnf_or_pos :args (@t527)) 122.44/122.87 (step @p626 :rule reordering :premises (@p625) :args ((or @t525 @t522 (not @t527)))) 122.44/122.87 (step @p627 :rule chain_resolution :premises (@p626 @p624 @p612) :args (@t467 (@list @t525 @t527))) 122.44/122.87 ; trust TRUST PREPROCESS_HO_ELIM 122.44/122.87 (step @p628 :rule trust :premises () :args ((= (_ (_ tptp.ord_less_nat @t463) @t90) @t497))) 122.44/122.87 (step @p629 :rule ho_cong :premises (@p411 @p267)) 122.44/122.87 (step @p630 :rule ho_cong :premises (@p314 @p629)) 122.44/122.87 (step @p631 :rule ho_cong :premises (@p630 @p313)) 122.44/122.87 (step @p632 :rule trans :premises (@p631 @p628)) 122.44/122.87 (step @p633 :rule eq_resolve :premises (@p164 @p632)) 122.44/122.87 (step @p634 :rule cnf_and_pos :args (@t499 1)) 122.44/122.87 (step @p635 :rule reordering :premises (@p634) :args ((or @t498 (not @t499)))) 122.44/122.87 (step @p636 :rule chain_resolution :premises (@p635 @p633) :args (@t462 (@list @t497))) 122.44/122.87 (step @p637 :rule cnf_or_pos :args (@t529)) 122.44/122.87 (step @p638 :rule reordering :premises (@p637) :args ((or @t465 @t499 @t496 @t528 (not @t529)))) 122.44/122.87 (step @p639 :rule chain_resolution :premises (@p638 @p421 @p636 @p627 @p517) :args ((@list true true true false) (@list @t465 @t499 @t496 @t529))) 122.44/122.87 (step @p640 :rule refl :args (@t530)) 122.44/122.87 (step @p641 :rule bool-double-not-elim :args (@t453)) 122.44/122.87 (step @p642 :rule refl :args (@t531)) 122.44/122.87 (step @p643 :rule nary_cong :premises (@p642 @p641 @p640) :args ((or @t531 (not @t532) @t530))) 122.44/122.87 (assume-push @p665 @t428) 122.44/122.87 (assume-push @p666 @t532) 122.44/122.87 (step @p646 :rule false_intro :premises (@p426)) 122.44/122.87 (step @p647 :rule refl :args (@t452)) 122.44/122.87 (step @p648 :rule cong :premises (@p647 @p321) :args (@t528)) 122.44/122.87 (step @p649 :rule trans :premises (@p648 @p646)) 122.44/122.87 (step @p650 :rule false_elim :premises (@p649)) 122.44/122.87 (step-pop @p666 :rule scope :premises (@p650)) 122.44/122.87 (step-pop @p667 :rule scope :premises (@p666)) 122.44/122.87 (step @p651 :rule process_scope :premises (@p667) :args (@t530)) 122.44/122.87 (step @p654 :rule implies_elim :premises (@p651)) 122.44/122.87 (step @p655 :rule cnf_and_neg :args (@t533)) 122.44/122.87 (step @p656 :rule resolution :premises (@p655 @p654) :args (true @t533)) 122.44/122.87 (step @p657 :rule eq_resolve :premises (@p656 @p643)) 122.44/122.87 (step @p658 false :rule chain_resolution :premises (@p657 @p639 @p426 @p321) :args ((@list false true false) (@list @t528 @t453 @t428))) 122.44/122.87 ) 122.44/122.87 % SZS output end Proof 122.44/122.87 % cvc5 exiting 122.44/122.87 EOF