%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP102^1 : 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 : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:03 AM UTC 2026 % Result : Theorem 170.49s 170.73s % Output : Proof 170.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ITP102^1 : 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 % 0.18/0.35 % Computer : n016.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 04:14:54 EDT 2026 % 0.18/0.35 % CPUTime : % 0.39/0.59 %----Proving TH0 % 170.49/170.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 170.49/170.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 170.49/170.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 170.49/170.73 --- Run --ho-elim --full-saturate-quant at 18s... % 170.49/170.73 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 170.49/170.73 % SZS status Theorem % 170.49/170.73 % SZS output start Proof % 170.49/170.73 ( % 170.49/170.73 (declare-sort tptp.nat 0) % 170.49/170.73 (declare-sort tptp.a 0) % 170.49/170.73 (declare-sort tptp.list_nat 0) % 170.49/170.73 (declare-sort tptp.list_a 0) % 170.49/170.73 (declare-const tptp.nth_nat (-> tptp.list_nat tptp.nat tptp.nat)) % 170.49/170.73 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 170.49/170.73 (declare-const tptp.size_size_list_nat (-> tptp.list_nat tptp.nat)) % 170.49/170.73 (declare-const tptp.nth_a (-> tptp.list_a tptp.nat tptp.a)) % 170.49/170.73 (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat)) % 170.49/170.73 (declare-const tptp.f (-> tptp.nat tptp.a)) % 170.49/170.73 (declare-const tptp.ys tptp.list_a) % 170.49/170.73 (declare-const tptp.g (-> tptp.nat tptp.a)) % 170.49/170.73 (declare-const tptp.xs tptp.list_a) % 170.49/170.73 (declare-const tptp.listIn923761578nd_nat (-> tptp.list_nat (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) % 170.49/170.73 (declare-const tptp.listIn1312259492pend_a (-> tptp.list_a (-> tptp.nat tptp.a) tptp.nat tptp.a)) % 170.49/170.73 (declare-const tptp.rev_nat (-> tptp.list_nat tptp.list_nat)) % 170.49/170.73 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 170.49/170.73 (declare-const tptp.rev_a (-> tptp.list_a tptp.list_a)) % 170.49/170.73 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 170.49/170.73 (define tptp.ord_less_nat () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "M" tptp.nat))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_nat _let_2) _let_1) (not (= _let_2 _let_1))))))) % 170.49/170.73 (define tptp.list_desc_nat () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "J" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_eq_nat _let_1) _let_4) (_ (_ tptp.ord_less_eq_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 170.49/170.73 (define tptp.list_asc_nat () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_eq_nat _let_4) _let_1) (_ (_ tptp.ord_less_eq_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 170.49/170.73 (define tptp.list_strict_desc_nat () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "J" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_4) (_ (_ tptp.ord_less_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 170.49/170.73 (define tptp.list_strict_asc_nat () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (forall (@list _let_4) (=> (_ (_ tptp.ord_less_nat _let_4) _let_1) (_ (_ tptp.ord_less_nat (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))) % 170.49/170.73 (define tptp.linorder_sorted_nat () (let ((_let_1 (@var "J" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (_ tptp.nth_nat _let_2))) (let ((_let_4 (@var "I2" tptp.nat))) (lambda (@list _let_2) (forall (@list _let_4 _let_1) (=> (_ (_ tptp.ord_less_eq_nat _let_4) _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (_ (_ tptp.ord_less_eq_nat (_ _let_3 _let_4)) (_ _let_3 _let_1))))))))))) % 170.49/170.73 (define tptp.list_ex_a () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_a))) (let ((_let_3 (@var "P3" (-> tptp.a Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_a _let_2)) (_ _let_3 (_ (_ tptp.nth_a _let_2) _let_1))))))))) % 170.49/170.73 (define tptp.list_ex_nat () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "Xs2" tptp.list_nat))) (let ((_let_3 (@var "P3" (-> tptp.nat Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_size_list_nat _let_2)) (_ _let_3 (_ (_ tptp.nth_nat _let_2) _let_1))))))))) % 170.49/170.73 (define @t1 () (@var "G" (-> tptp.nat tptp.nat))) % 170.49/170.73 (define @t2 () (@var "F" (-> tptp.nat tptp.nat))) % 170.49/170.73 (define @t3 () (@var "Ys" tptp.list_nat)) % 170.49/170.73 (define @t4 () (@var "Xs" tptp.list_nat)) % 170.49/170.73 (define @t5 () (= @t4 @t3)) % 170.49/170.73 (define @t6 () (_ (_ tptp.listIn923761578nd_nat @t4) @t2)) % 170.49/170.73 (define @t7 () (_ tptp.size_size_list_nat @t4)) % 170.49/170.73 (define @t8 () (= @t7 (_ tptp.size_size_list_nat @t3))) % 170.49/170.73 (define @t9 () (@var "G" (-> tptp.nat tptp.a))) % 170.49/170.73 (define @t10 () (@var "F" (-> tptp.nat tptp.a))) % 170.49/170.73 (define @t11 () (@var "Ys" tptp.list_a)) % 170.49/170.73 (define @t12 () (@var "Xs" tptp.list_a)) % 170.49/170.73 (define @t13 () (= @t12 @t11)) % 170.49/170.73 (define @t14 () (_ (_ tptp.listIn1312259492pend_a @t12) @t10)) % 170.49/170.73 (define @t15 () (_ tptp.size_size_list_a @t12)) % 170.49/170.73 (define @t16 () (= @t15 (_ tptp.size_size_list_a @t11))) % 170.49/170.73 (define @t17 () (@var "N" tptp.nat)) % 170.49/170.73 (define @t18 () (_ tptp.nth_nat @t4)) % 170.49/170.73 (define @t19 () (_ @t6 @t17)) % 170.49/170.73 (define @t20 () (_ tptp.ord_less_nat @t17)) % 170.49/170.73 (define @t21 () (_ @t20 @t7)) % 170.49/170.73 (define @t22 () (_ tptp.nth_a @t12)) % 170.49/170.73 (define @t23 () (_ @t22 @t17)) % 170.49/170.73 (define @t24 () (_ @t14 @t17)) % 170.49/170.73 (define @t25 () (= @t24 @t23)) % 170.49/170.73 (define @t26 () (_ @t20 @t15)) % 170.49/170.73 (define @t27 () (=> @t26 @t25)) % 170.49/170.73 (define @t28 () (@list @t17 @t12 @t10)) % 170.49/170.73 (define @t29 () (forall @t28 @t27)) % 170.49/170.73 (define @t30 () (@var "I" tptp.nat)) % 170.49/170.73 (define @t31 () (_ tptp.ord_less_nat @t30)) % 170.49/170.73 (define @t32 () (@list @t30)) % 170.49/170.73 (define @t33 () (@list @t4 @t3)) % 170.49/170.73 (define @t34 () (@list @t12 @t11)) % 170.49/170.73 (define @t35 () (@var "I2" tptp.nat)) % 170.49/170.73 (define @t36 () (@var "Xs2" tptp.list_nat)) % 170.49/170.73 (define @t37 () (_ tptp.nth_nat @t36)) % 170.49/170.73 (define @t38 () (_ @t37 @t35)) % 170.49/170.73 (define @t39 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 170.49/170.73 (define @t40 () (_ @t39 @t35)) % 170.49/170.73 (define @t41 () (@var "K" tptp.nat)) % 170.49/170.73 (define @t42 () (_ tptp.ord_less_nat @t35)) % 170.49/170.73 (define @t43 () (_ @t42 @t41)) % 170.49/170.73 (define @t44 () (@list @t35)) % 170.49/170.73 (define @t45 () (_ tptp.size_size_list_nat @t36)) % 170.49/170.73 (define @t46 () (@list @t36)) % 170.49/170.73 (define @t47 () (@var "X" tptp.nat)) % 170.49/170.73 (define @t48 () (@list @t47)) % 170.49/170.73 (define @t49 () (@var "Xs2" tptp.list_a)) % 170.49/170.73 (define @t50 () (_ tptp.nth_a @t49)) % 170.49/170.73 (define @t51 () (_ @t50 @t35)) % 170.49/170.73 (define @t52 () (@var "P" (-> tptp.nat tptp.a Bool))) % 170.49/170.73 (define @t53 () (_ @t52 @t35)) % 170.49/170.73 (define @t54 () (_ tptp.size_size_list_a @t49)) % 170.49/170.73 (define @t55 () (@var "X" tptp.a)) % 170.49/170.73 (define @t56 () (@var "Ys2" tptp.list_nat)) % 170.49/170.73 (define @t57 () (@var "Z" tptp.list_nat)) % 170.49/170.73 (define @t58 () (@var "Y" tptp.list_nat)) % 170.49/170.73 (define @t59 () (@var "Ys2" tptp.list_a)) % 170.49/170.73 (define @t60 () (@var "Z" tptp.list_a)) % 170.49/170.73 (define @t61 () (@var "Y" tptp.list_a)) % 170.49/170.73 (define @t62 () (@var "X2" tptp.nat)) % 170.49/170.73 (define @t63 () (_ tptp.ord_less_eq_nat @t62)) % 170.49/170.73 (define @t64 () (@list @t62)) % 170.49/170.73 (define @t65 () (@var "P" (-> tptp.list_nat Bool))) % 170.49/170.73 (define @t66 () (@var "Xs3" tptp.list_nat)) % 170.49/170.73 (define @t67 () (@var "Ys3" tptp.list_nat)) % 170.49/170.73 (define @t68 () (_ tptp.size_size_list_nat @t66)) % 170.49/170.73 (define @t69 () (@list @t66)) % 170.49/170.73 (define @t70 () (@var "P" (-> tptp.list_a Bool))) % 170.49/170.73 (define @t71 () (@var "Xs3" tptp.list_a)) % 170.49/170.73 (define @t72 () (@var "Ys3" tptp.list_a)) % 170.49/170.73 (define @t73 () (_ tptp.size_size_list_a @t71)) % 170.49/170.73 (define @t74 () (@list @t71)) % 170.49/170.73 (define @t75 () (@var "M2" tptp.nat)) % 170.49/170.73 (define @t76 () (_ tptp.ord_less_eq_nat @t75)) % 170.49/170.73 (define @t77 () (_ @t76 @t17)) % 170.49/170.73 (define @t78 () (_ tptp.ord_less_nat @t75)) % 170.49/170.73 (define @t79 () (_ @t78 @t17)) % 170.49/170.73 (define @t80 () (@list @t75 @t17)) % 170.49/170.73 (define @t81 () (@var "N2" tptp.nat)) % 170.49/170.73 (define @t82 () (@var "M" tptp.nat)) % 170.49/170.73 (define @t83 () (= @t82 @t81)) % 170.49/170.73 (define @t84 () (_ (_ tptp.ord_less_nat @t82) @t81)) % 170.49/170.73 (define @t85 () (@list @t82 @t81)) % 170.49/170.73 (define @t86 () (= @t75 @t17)) % 170.49/170.73 (define @t87 () (or @t79 @t86)) % 170.49/170.73 (define @t88 () (not @t86)) % 170.49/170.73 (define @t89 () (@var "J2" tptp.nat)) % 170.49/170.73 (define @t90 () (@var "I3" tptp.nat)) % 170.49/170.73 (define @t91 () (_ tptp.ord_less_eq_nat @t90)) % 170.49/170.73 (define @t92 () (_ @t91 @t89)) % 170.49/170.73 (define @t93 () (@var "J3" tptp.nat)) % 170.49/170.73 (define @t94 () (_ @t31 @t93)) % 170.49/170.73 (define @t95 () (@var "B" tptp.nat)) % 170.49/170.73 (define @t96 () (@var "A" tptp.nat)) % 170.49/170.73 (define @t97 () (= @t96 @t95)) % 170.49/170.73 (define @t98 () (_ tptp.ord_less_eq_nat @t96)) % 170.49/170.73 (define @t99 () (_ @t98 @t95)) % 170.49/170.73 (define @t100 () (_ tptp.ord_less_eq_nat @t95)) % 170.49/170.73 (define @t101 () (_ @t100 @t96)) % 170.49/170.73 (define @t102 () (@list @t95 @t96)) % 170.49/170.73 (define @t103 () (@var "B2" tptp.nat)) % 170.49/170.73 (define @t104 () (@var "A2" tptp.nat)) % 170.49/170.73 (define @t105 () (_ tptp.ord_less_eq_nat @t104)) % 170.49/170.73 (define @t106 () (_ @t105 @t103)) % 170.49/170.73 (define @t107 () (_ (_ tptp.ord_less_eq_nat @t103) @t104)) % 170.49/170.73 (define @t108 () (@list @t104 @t103)) % 170.49/170.73 (define @t109 () (@var "Z" tptp.nat)) % 170.49/170.73 (define @t110 () (@var "Y" tptp.nat)) % 170.49/170.73 (define @t111 () (lambda (@list @t110 @t109) (= @t110 @t109))) % 170.49/170.73 (define @t112 () (@var "C" tptp.nat)) % 170.49/170.73 (define @t113 () (_ tptp.ord_less_eq_nat @t112)) % 170.49/170.73 (define @t114 () (_ @t113 @t95)) % 170.49/170.73 (define @t115 () (@list @t95 @t96 @t112)) % 170.49/170.73 (define @t116 () (@var "B3" tptp.nat)) % 170.49/170.73 (define @t117 () (@var "A3" tptp.nat)) % 170.49/170.73 (define @t118 () (_ @t39 @t117)) % 170.49/170.73 (define @t119 () (_ @t118 @t116)) % 170.49/170.73 (define @t120 () (@list @t117 @t116)) % 170.49/170.73 (define @t121 () (=> (forall @t120 (=> (_ (_ @t39 @t116) @t117) @t119)) (_ (_ @t39 @t96) @t95))) % 170.49/170.73 (define @t122 () (@list @t39 @t96 @t95)) % 170.49/170.73 (define @t123 () (@list @t96)) % 170.49/170.73 (define @t124 () (@var "Z2" tptp.nat)) % 170.49/170.73 (define @t125 () (_ @t63 @t124)) % 170.49/170.73 (define @t126 () (@var "Y2" tptp.nat)) % 170.49/170.73 (define @t127 () (_ tptp.ord_less_eq_nat @t126)) % 170.49/170.73 (define @t128 () (_ @t127 @t124)) % 170.49/170.73 (define @t129 () (_ @t63 @t126)) % 170.49/170.73 (define @t130 () (@list @t62 @t126 @t124)) % 170.49/170.73 (define @t131 () (@list @t96 @t95)) % 170.49/170.73 (define @t132 () (_ @t98 @t112)) % 170.49/170.73 (define @t133 () (= @t95 @t112)) % 170.49/170.73 (define @t134 () (@list @t96 @t95 @t112)) % 170.49/170.73 (define @t135 () (_ @t100 @t112)) % 170.49/170.73 (define @t136 () (=> @t135 @t132)) % 170.49/170.73 (define @t137 () (= @t62 @t126)) % 170.49/170.73 (define @t138 () (= @t129 @t137)) % 170.49/170.73 (define @t139 () (_ @t127 @t62)) % 170.49/170.73 (define @t140 () (@list @t126 @t62)) % 170.49/170.73 (define @t141 () (not @t129)) % 170.49/170.73 (define @t142 () (_ tptp.ord_less_eq_nat @t124)) % 170.49/170.73 (define @t143 () (_ @t142 @t62)) % 170.49/170.73 (define @t144 () (not @t139)) % 170.49/170.73 (define @t145 () (_ @t142 @t126)) % 170.49/170.73 (define @t146 () (not @t128)) % 170.49/170.73 (define @t147 () (@list @t62 @t126)) % 170.49/170.73 (define @t148 () (@var "X3" tptp.nat)) % 170.49/170.73 (define @t149 () (@var "Y3" tptp.nat)) % 170.49/170.73 (define @t150 () (_ (_ tptp.ord_less_eq_nat @t149) @t148)) % 170.49/170.73 (define @t151 () (_ tptp.ord_less_eq_nat @t148)) % 170.49/170.73 (define @t152 () (_ @t151 @t149)) % 170.49/170.73 (define @t153 () (@list @t148 @t149)) % 170.49/170.73 (define @t154 () (_ @t2 @t96)) % 170.49/170.73 (define @t155 () (@var "Y4" tptp.nat)) % 170.49/170.73 (define @t156 () (_ @t2 @t155)) % 170.49/170.73 (define @t157 () (@var "X4" tptp.nat)) % 170.49/170.73 (define @t158 () (_ @t2 @t157)) % 170.49/170.73 (define @t159 () (@list @t157 @t155)) % 170.49/170.73 (define @t160 () (forall @t159 (=> (_ (_ tptp.ord_less_eq_nat @t157) @t155) (_ (_ tptp.ord_less_eq_nat @t158) @t156)))) % 170.49/170.73 (define @t161 () (=> @t160 (_ (_ tptp.ord_less_eq_nat @t154) @t112))) % 170.49/170.73 (define @t162 () (_ @t2 @t95)) % 170.49/170.73 (define @t163 () (= @t162 @t112)) % 170.49/170.73 (define @t164 () (@list @t96 @t95 @t2 @t112)) % 170.49/170.73 (define @t165 () (_ @t2 @t112)) % 170.49/170.73 (define @t166 () (=> @t135 (=> @t160 (_ @t98 @t165)))) % 170.49/170.73 (define @t167 () (= @t96 @t162)) % 170.49/170.73 (define @t168 () (@list @t96 @t2 @t95 @t112)) % 170.49/170.73 (define @t169 () (_ (_ tptp.ord_less_eq_nat @t162) @t112)) % 170.49/170.73 (define @t170 () (_ @t98 @t162)) % 170.49/170.73 (define @t171 () (not @t97)) % 170.49/170.73 (define @t172 () (_ tptp.ord_less_nat @t95)) % 170.49/170.73 (define @t173 () (_ @t172 @t96)) % 170.49/170.73 (define @t174 () (_ tptp.ord_less_nat @t96)) % 170.49/170.73 (define @t175 () (_ @t174 @t95)) % 170.49/170.73 (define @t176 () (_ tptp.ord_less_nat @t126)) % 170.49/170.73 (define @t177 () (_ @t176 @t62)) % 170.49/170.73 (define @t178 () (_ tptp.ord_less_nat @t62)) % 170.49/170.73 (define @t179 () (_ @t178 @t126)) % 170.49/170.73 (define @t180 () (not @t179)) % 170.49/170.73 (define @t181 () (_ tptp.ord_less_nat @t112)) % 170.49/170.73 (define @t182 () (_ @t181 @t96)) % 170.49/170.73 (define @t183 () (=> (_ @t181 @t95) @t182)) % 170.49/170.73 (define @t184 () (@var "P3" (-> tptp.nat Bool))) % 170.49/170.73 (define @t185 () (@list @t81)) % 170.49/170.73 (define @t186 () (@var "P2" (-> tptp.nat Bool))) % 170.49/170.73 (define @t187 () (not @t177)) % 170.49/170.73 (define @t188 () (_ @t174 @t112)) % 170.49/170.73 (define @t189 () (_ @t172 @t112)) % 170.49/170.73 (define @t190 () (=> @t189 @t188)) % 170.49/170.73 (define @t191 () (not @t137)) % 170.49/170.73 (define @t192 () (@var "P" Bool)) % 170.49/170.73 (define @t193 () (= @t180 @t137)) % 170.49/170.73 (define @t194 () (@var "P" (-> tptp.nat Bool))) % 170.49/170.73 (define @t195 () (_ @t194 @t96)) % 170.49/170.73 (define @t196 () (_ @t194 @t157)) % 170.49/170.73 (define @t197 () (@var "Y5" tptp.nat)) % 170.49/170.73 (define @t198 () (_ @t194 @t197)) % 170.49/170.73 (define @t199 () (@list @t197)) % 170.49/170.73 (define @t200 () (@list @t157)) % 170.49/170.73 (define @t201 () (_ @t178 @t124)) % 170.49/170.73 (define @t202 () (=> (_ @t176 @t124) @t201)) % 170.49/170.73 (define @t203 () (@var "X_1" tptp.nat)) % 170.49/170.73 (define @t204 () (_ (_ tptp.ord_less_nat @t154) @t112)) % 170.49/170.73 (define @t205 () (_ tptp.ord_less_nat @t157)) % 170.49/170.73 (define @t206 () (forall @t159 (=> (_ @t205 @t155) (_ (_ tptp.ord_less_nat @t158) @t156)))) % 170.49/170.73 (define @t207 () (=> @t206 @t204)) % 170.49/170.73 (define @t208 () (_ (_ tptp.ord_less_nat @t162) @t112)) % 170.49/170.73 (define @t209 () (_ @t174 @t165)) % 170.49/170.73 (define @t210 () (=> @t189 (=> @t206 @t209))) % 170.49/170.73 (define @t211 () (_ @t174 @t162)) % 170.49/170.73 (define @t212 () (_ @t194 @t17)) % 170.49/170.73 (define @t213 () (@var "M3" tptp.nat)) % 170.49/170.73 (define @t214 () (_ @t194 @t213)) % 170.49/170.73 (define @t215 () (@var "N3" tptp.nat)) % 170.49/170.73 (define @t216 () (_ (_ tptp.ord_less_nat @t213) @t215)) % 170.49/170.73 (define @t217 () (@list @t213)) % 170.49/170.73 (define @t218 () (_ @t194 @t215)) % 170.49/170.73 (define @t219 () (@list @t215)) % 170.49/170.73 (define @t220 () (@list @t194 @t17)) % 170.49/170.73 (define @t221 () (@list @t17)) % 170.49/170.73 (define @t222 () (@var "T" tptp.nat)) % 170.49/170.73 (define @t223 () (@var "S" tptp.nat)) % 170.49/170.73 (define @t224 () (_ @t20 @t75)) % 170.49/170.73 (define @t225 () (@list @t17 @t75)) % 170.49/170.73 (define @t226 () (_ @t194 @t41)) % 170.49/170.73 (define @t227 () (_ tptp.ord_less_eq_nat @t17)) % 170.49/170.73 (define @t228 () (_ @t227 @t75)) % 170.49/170.73 (define @t229 () (@list @t90 @t89 @t41)) % 170.49/170.73 (define @t230 () (@var "Y2" tptp.list_a)) % 170.49/170.73 (define @t231 () (@var "X2" tptp.list_a)) % 170.49/170.73 (define @t232 () (@var "Y2" tptp.list_nat)) % 170.49/170.73 (define @t233 () (@var "X2" tptp.list_nat)) % 170.49/170.73 (define @t234 () (@var "J" tptp.nat)) % 170.49/170.73 (define @t235 () (_ @t37 @t234)) % 170.49/170.73 (define @t236 () (_ (_ tptp.ord_less_eq_nat @t235) @t38)) % 170.49/170.73 (define @t237 () (_ @t42 @t234)) % 170.49/170.73 (define @t238 () (_ tptp.ord_less_nat @t234)) % 170.49/170.73 (define @t239 () (_ @t238 @t45)) % 170.49/170.73 (define @t240 () (@list @t234)) % 170.49/170.73 (define @t241 () (= @t104 @t103)) % 170.49/170.73 (define @t242 () (not @t241)) % 170.49/170.73 (define @t243 () (@list @t103 @t104)) % 170.49/170.73 (define @t244 () (_ tptp.ord_less_nat @t104)) % 170.49/170.73 (define @t245 () (=> @t129 @t202)) % 170.49/170.73 (define @t246 () (forall @t130 @t245)) % 170.49/170.73 (define @t247 () (= @t148 @t149)) % 170.49/170.73 (define @t248 () (_ tptp.ord_less_nat @t148)) % 170.49/170.73 (define @t249 () (@var "J4" tptp.nat)) % 170.49/170.73 (define @t250 () (@var "I4" tptp.nat)) % 170.49/170.73 (define @t251 () (@list @t250)) % 170.49/170.73 (define @t252 () (_ tptp.list_strict_asc_nat @t4)) % 170.49/170.73 (define @t253 () (@list @t4)) % 170.49/170.73 (define @t254 () (_ tptp.ord_less_eq_nat @t38)) % 170.49/170.73 (define @t255 () (_ @t254 @t235)) % 170.49/170.73 (define @t256 () (_ @t194 @t75)) % 170.49/170.73 (define @t257 () (@var "K2" tptp.nat)) % 170.49/170.73 (define @t258 () (_ @t194 @t257)) % 170.49/170.73 (define @t259 () (@list @t257)) % 170.49/170.73 (define @t260 () (@var "C2" tptp.nat)) % 170.49/170.73 (define @t261 () (@var "D" tptp.nat)) % 170.49/170.73 (define @t262 () (@var "X5" tptp.nat)) % 170.49/170.73 (define @t263 () (_ @t194 @t262)) % 170.49/170.73 (define @t264 () (_ tptp.ord_less_nat @t262)) % 170.49/170.73 (define @t265 () (@list @t262)) % 170.49/170.73 (define @t266 () (not (= @t81 @t148))) % 170.49/170.73 (define @t267 () (@list @t148)) % 170.49/170.73 (define @t268 () (@list @t81 @t104)) % 170.49/170.73 (define @t269 () (@list @t104 @t81)) % 170.49/170.73 (define @t270 () (_ (_ tptp.ord_less_eq_nat @t222) @t262)) % 170.49/170.73 (define @t271 () (@var "Z3" tptp.nat)) % 170.49/170.73 (define @t272 () (_ @t264 @t271)) % 170.49/170.73 (define @t273 () (@list @t271)) % 170.49/170.73 (define @t274 () (@list @t222)) % 170.49/170.73 (define @t275 () (_ (_ tptp.ord_less_eq_nat @t262) @t222)) % 170.49/170.73 (define @t276 () (_ (_ tptp.ord_less_nat @t271) @t262)) % 170.49/170.73 (define @t277 () (@var "Q2" (-> tptp.nat Bool))) % 170.49/170.73 (define @t278 () (_ @t277 @t262)) % 170.49/170.73 (define @t279 () (@var "P4" (-> tptp.nat Bool))) % 170.49/170.73 (define @t280 () (_ @t279 @t262)) % 170.49/170.73 (define @t281 () (@var "Q" (-> tptp.nat Bool))) % 170.49/170.73 (define @t282 () (_ @t281 @t262)) % 170.49/170.73 (define @t283 () (= (and @t263 @t282) (and @t280 @t278))) % 170.49/170.73 (define @t284 () (= (_ @t281 @t157) (_ @t277 @t157))) % 170.49/170.73 (define @t285 () (@var "Z4" tptp.nat)) % 170.49/170.73 (define @t286 () (_ (_ tptp.ord_less_nat @t285) @t157)) % 170.49/170.73 (define @t287 () (@list @t285)) % 170.49/170.73 (define @t288 () (exists @t287 (forall @t200 (=> @t286 @t284)))) % 170.49/170.73 (define @t289 () (= @t196 (_ @t279 @t157))) % 170.49/170.73 (define @t290 () (exists @t287 (forall @t200 (=> @t286 @t289)))) % 170.49/170.73 (define @t291 () (@list @t194 @t279 @t281 @t277)) % 170.49/170.73 (define @t292 () (= (or @t263 @t282) (or @t280 @t278))) % 170.49/170.73 (define @t293 () (not (= @t262 @t222))) % 170.49/170.73 (define @t294 () (_ @t264 @t222)) % 170.49/170.73 (define @t295 () (_ (_ tptp.ord_less_nat @t222) @t262)) % 170.49/170.73 (define @t296 () (_ @t205 @t285)) % 170.49/170.73 (define @t297 () (exists @t287 (forall @t200 (=> @t296 @t284)))) % 170.49/170.73 (define @t298 () (exists @t287 (forall @t200 (=> @t296 @t289)))) % 170.49/170.73 (define @t299 () (@var "B4" tptp.nat)) % 170.49/170.73 (define @t300 () (@var "A4" tptp.nat)) % 170.49/170.73 (define @t301 () (_ @t18 @t89)) % 170.49/170.73 (define @t302 () (_ @t18 @t90)) % 170.49/170.73 (define @t303 () (_ tptp.ord_less_nat @t89)) % 170.49/170.73 (define @t304 () (_ @t303 @t7)) % 170.49/170.73 (define @t305 () (@list @t4 @t90 @t89)) % 170.49/170.73 (define @t306 () (=> @t239 @t255)) % 170.49/170.73 (define @t307 () (@list @t35 @t234)) % 170.49/170.73 (define @t308 () (_ tptp.rev_nat @t4)) % 170.49/170.73 (define @t309 () (_ tptp.linorder_sorted_nat @t308)) % 170.49/170.73 (define @t310 () (_ @t18 @t35)) % 170.49/170.73 (define @t311 () (_ (_ tptp.ord_less_eq_nat @t35) @t234)) % 170.49/170.73 (define @t312 () (_ tptp.suc @t35)) % 170.49/170.73 (define @t313 () (_ tptp.ord_less_nat @t312)) % 170.49/170.73 (define @t314 () (@var "Nat2" tptp.nat)) % 170.49/170.73 (define @t315 () (@var "Nat" tptp.nat)) % 170.49/170.73 (define @t316 () (@var "Y22" tptp.nat)) % 170.49/170.73 (define @t317 () (@var "X22" tptp.nat)) % 170.49/170.73 (define @t318 () (_ tptp.rev_nat @t3)) % 170.49/170.73 (define @t319 () (_ tptp.rev_a @t11)) % 170.49/170.73 (define @t320 () (_ tptp.rev_a @t12)) % 170.49/170.73 (define @t321 () (@list @t12)) % 170.49/170.73 (define @t322 () (_ tptp.suc @t17)) % 170.49/170.73 (define @t323 () (_ tptp.suc @t75)) % 170.49/170.73 (define @t324 () (_ tptp.ord_less_nat @t323)) % 170.49/170.73 (define @t325 () (_ @t324 @t322)) % 170.49/170.73 (define @t326 () (_ tptp.ord_less_eq_nat @t322)) % 170.49/170.73 (define @t327 () (_ (_ tptp.ord_less_eq_nat @t323) @t17)) % 170.49/170.73 (define @t328 () (= @t75 @t322)) % 170.49/170.73 (define @t329 () (not @t77)) % 170.49/170.73 (define @t330 () (_ @t76 @t322)) % 170.49/170.73 (define @t331 () (@var "M5" tptp.nat)) % 170.49/170.73 (define @t332 () (@var "M4" tptp.nat)) % 170.49/170.73 (define @t333 () (_ tptp.suc @t215)) % 170.49/170.73 (define @t334 () (_ @t194 @t333)) % 170.49/170.73 (define @t335 () (=> @t218 @t334)) % 170.49/170.73 (define @t336 () (@var "R" (-> tptp.nat tptp.nat Bool))) % 170.49/170.73 (define @t337 () (_ @t336 @t157)) % 170.49/170.73 (define @t338 () (_ @t20 @t323)) % 170.49/170.73 (define @t339 () (= @t338 (= @t17 @t75))) % 170.49/170.73 (define @t340 () (not @t224)) % 170.49/170.73 (define @t341 () (_ @t194 @t90)) % 170.49/170.73 (define @t342 () (_ @t194 @t30)) % 170.49/170.73 (define @t343 () (_ tptp.suc @t30)) % 170.49/170.73 (define @t344 () (_ tptp.ord_less_nat @t90)) % 170.49/170.73 (define @t345 () (_ @t344 @t89)) % 170.49/170.73 (define @t346 () (@list @t90 @t89 @t194)) % 170.49/170.73 (define @t347 () (_ @t39 @t30)) % 170.49/170.73 (define @t348 () (_ tptp.suc @t90)) % 170.49/170.73 (define @t349 () (_ (_ tptp.ord_less_nat @t348) @t41)) % 170.49/170.73 (define @t350 () (_ @t303 @t41)) % 170.49/170.73 (define @t351 () (@var "M6" tptp.nat)) % 170.49/170.73 (define @t352 () (_ @t194 @t35)) % 170.49/170.73 (define @t353 () (_ @t42 @t17)) % 170.49/170.73 (define @t354 () (_ @t42 @t322)) % 170.49/170.73 (define @t355 () (@list @t17 @t194)) % 170.49/170.73 (define @t356 () (not @t79)) % 170.49/170.73 (define @t357 () (_ @t78 @t322)) % 170.49/170.73 (define @t358 () (_ @t324 @t17)) % 170.49/170.73 (define @t359 () (not (forall (@list @t93) (=> (_ @t344 @t93) (not (= @t41 (_ tptp.suc @t93))))))) % 170.49/170.73 (define @t360 () (@list @t90 @t41)) % 170.49/170.73 (define @t361 () (_ @t2 @t17)) % 170.49/170.73 (define @t362 () (_ tptp.ord_less_nat @t361)) % 170.49/170.73 (define @t363 () (_ @t2 @t333)) % 170.49/170.73 (define @t364 () (_ @t2 @t215)) % 170.49/170.73 (define @t365 () (forall @t219 (_ (_ tptp.ord_less_nat @t364) @t363))) % 170.49/170.73 (define @t366 () (@var "N4" tptp.nat)) % 170.49/170.73 (define @t367 () (_ @t2 @t366)) % 170.49/170.73 (define @t368 () (@list @t2 @t17 @t366)) % 170.49/170.73 (define @t369 () (_ @t227 @t366)) % 170.49/170.73 (define @t370 () (@var "__flatten_var_0" tptp.nat)) % 170.49/170.73 (define @t371 () (=> @t334 @t218)) % 170.49/170.73 (define @t372 () (_ (_ tptp.ord_less_nat @t215) @t89)) % 170.49/170.73 (define @t373 () (_ @t91 @t215)) % 170.49/170.73 (define @t374 () (_ @t194 @t89)) % 170.49/170.73 (define @t375 () (@var "N0" tptp.nat)) % 170.49/170.73 (define @t376 () (_ tptp.ord_less_eq_nat @t375)) % 170.49/170.73 (define @t377 () (_ tptp.minus_minus_nat @t75)) % 170.49/170.73 (define @t378 () (_ @t377 @t17)) % 170.49/170.73 (define @t379 () (_ tptp.minus_minus_nat @t323)) % 170.49/170.73 (define @t380 () (_ tptp.minus_minus_nat @t17)) % 170.49/170.73 (define @t381 () (_ tptp.list_ex_nat @t194)) % 170.49/170.73 (define @t382 () (@var "P" (-> tptp.a Bool))) % 170.49/170.73 (define @t383 () (_ tptp.list_ex_a @t382)) % 170.49/170.73 (define @t384 () (_ tptp.minus_minus_nat @t41)) % 170.49/170.73 (define @t385 () (_ tptp.minus_minus_nat @t89)) % 170.49/170.73 (define @t386 () (_ @t384 @t17)) % 170.49/170.73 (define @t387 () (_ @t384 @t75)) % 170.49/170.73 (define @t388 () (= @t387 @t386)) % 170.49/170.73 (define @t389 () (@list @t41 @t75 @t17)) % 170.49/170.73 (define @t390 () (_ tptp.ord_less_nat @t41)) % 170.49/170.73 (define @t391 () (_ @t380 @t41)) % 170.49/170.73 (define @t392 () (_ @t377 @t41)) % 170.49/170.73 (define @t393 () (= @t392 @t391)) % 170.49/170.73 (define @t394 () (@list @t75 @t41 @t17)) % 170.49/170.73 (define @t395 () (@var "L" tptp.nat)) % 170.49/170.73 (define @t396 () (_ tptp.minus_minus_nat @t395)) % 170.49/170.73 (define @t397 () (_ @t396 @t75)) % 170.49/170.73 (define @t398 () (_ @t396 @t17)) % 170.49/170.73 (define @t399 () (@list @t75 @t17 @t395)) % 170.49/170.73 (define @t400 () (_ tptp.minus_minus_nat @t90)) % 170.49/170.73 (define @t401 () (_ tptp.minus_minus_nat @t112)) % 170.49/170.73 (define @t402 () (_ tptp.ord_less_eq_nat @t41)) % 170.49/170.73 (define @t403 () (_ @t402 @t17)) % 170.49/170.73 (define @t404 () (_ @t402 @t75)) % 170.49/170.73 (define @t405 () (_ (_ (_ tptp.listIn1312259492pend_a tptp.ys) tptp.g) @t262)) % 170.49/170.73 (define @t406 () (_ (_ (_ tptp.listIn1312259492pend_a tptp.xs) tptp.f) @t262)) % 170.49/170.73 (define @t407 () (= @t406 @t405)) % 170.49/170.73 (define @t408 () (forall @t265 @t407)) % 170.49/170.73 (define @t409 () (_ tptp.size_size_list_a tptp.xs)) % 170.49/170.73 (define @t410 () (_ (_ tptp.ord_less_eq_nat @t409) (_ tptp.size_size_list_a tptp.ys))) % 170.49/170.73 (define @t411 () (_ (_ tptp.nth_a tptp.ys) @t30)) % 170.49/170.73 (define @t412 () (_ (_ tptp.nth_a tptp.xs) @t30)) % 170.49/170.73 (define @t413 () (= @t412 @t411)) % 170.49/170.73 (define @t414 () (not (_ @t31 @t409))) % 170.49/170.73 (define @t415 () (or @t414 @t413)) % 170.49/170.73 (define @t416 () (forall @t32 @t415)) % 170.49/170.73 (define @t417 () (not @t416)) % 170.49/170.73 (define @t418 () (lambda @t46 (forall @t240 (=> @t239 (forall @t44 (=> @t311 @t236)))))) % 170.49/170.73 (define @t419 () (lambda @t85 (and (_ (_ tptp.ord_less_eq_nat @t82) @t81) (not @t83)))) % 170.49/170.73 (define @t420 () (lambda @t46 (forall @t240 (=> @t239 (forall @t44 (=> @t311 @t255)))))) % 170.49/170.73 (define @t421 () (lambda @t46 (forall @t240 (=> @t239 (forall @t44 (=> @t237 (_ (_ tptp.ord_less_nat @t235) @t38))))))) % 170.49/170.73 (define @t422 () (lambda @t46 (forall @t240 (=> @t239 (forall @t44 (=> @t237 (_ (_ tptp.ord_less_nat @t38) @t235))))))) % 170.49/170.73 (define @t423 () (lambda @t46 (forall @t307 (=> @t311 @t306)))) % 170.49/170.73 (define @t424 () (@var "P3" (-> tptp.a Bool))) % 170.49/170.73 (define @t425 () (_ tptp.ord_less_nat @t81)) % 170.49/170.73 (define @t426 () (lambda (@list @t424 @t49) (exists @t185 (and (_ @t425 @t54) (_ @t424 (_ @t50 @t81)))))) % 170.49/170.73 (define @t427 () (lambda (@list @t184 @t36) (exists @t185 (and (_ @t425 @t45) (_ @t184 (_ @t37 @t81)))))) % 170.49/170.73 (define @t428 () (@const 0 (@ho-elim-sort (-> tptp.list_a tptp.nat tptp.a)))) % 170.49/170.73 (define @t429 () (@const 1 (-> (@ho-elim-sort (-> tptp.list_a tptp.nat tptp.a)) tptp.list_a (@ho-elim-sort (-> tptp.nat tptp.a))))) % 170.49/170.73 (define @t430 () (_ @t429 @t428 tptp.xs)) % 170.49/170.73 (define @t431 () (@const 2 (-> (@ho-elim-sort (-> tptp.nat tptp.a)) tptp.nat tptp.a))) % 170.49/170.73 (define @t432 () (_ @t431 @t430 @t30)) % 170.49/170.73 (define @t433 () (_ @t429 @t428 tptp.ys)) % 170.49/170.73 (define @t434 () (_ @t431 @t433 @t30)) % 170.49/170.73 (define @t435 () (@const 3 (@ho-elim-sort (-> tptp.list_a tptp.nat)))) % 170.49/170.73 (define @t436 () (@const 4 (-> (@ho-elim-sort (-> tptp.list_a tptp.nat)) tptp.list_a tptp.nat))) % 170.49/170.73 (define @t437 () (_ @t436 @t435 tptp.xs)) % 170.49/170.73 (define @t438 () (= @t30 @t437)) % 170.49/170.73 (define @t439 () (@const 5 (@ho-elim-sort (-> tptp.nat tptp.nat Bool)))) % 170.49/170.73 (define @t440 () (@const 6 (-> (@ho-elim-sort (-> tptp.nat tptp.nat Bool)) tptp.nat (@ho-elim-sort (-> tptp.nat Bool))))) % 170.49/170.73 (define @t441 () (@const 7 (-> (@ho-elim-sort (-> tptp.nat Bool)) tptp.nat Bool))) % 170.49/170.73 (define @t442 () (not (_ @t441 (_ @t440 @t439 @t30) @t437))) % 170.49/170.73 (define @t443 () (or @t442 @t438 (= @t432 @t434))) % 170.49/170.73 (define @t444 () (forall @t32 @t443)) % 170.49/170.73 (define @t445 () (not @t444)) % 170.49/170.73 (define @t446 () (tptp.nth_a tptp.ys @t30)) % 170.49/170.73 (define @t447 () (tptp.nth_a tptp.xs @t30)) % 170.49/170.73 (define @t448 () (tptp.size_size_list_a tptp.xs)) % 170.49/170.73 (define @t449 () (tptp.ord_less_eq_nat @t30 @t448)) % 170.49/170.73 (define @t450 () (= @t30 @t409)) % 170.49/170.73 (define @t451 () (_ tptp.ord_less_eq_nat @t30)) % 170.49/170.73 (define @t452 () (_ @t451 @t409)) % 170.49/170.73 (define @t453 () (not @t452)) % 170.49/170.73 (define @t454 () (or @t453 @t450 @t413)) % 170.49/170.73 (define @t455 () (not @t450)) % 170.49/170.73 (define @t456 () (and @t452 @t455)) % 170.49/170.73 (define @t457 () (or (not @t456) @t413)) % 170.49/170.73 (define @t458 () (lambda @t185 (and (_ @t451 @t81) (not (= @t30 @t81))))) % 170.49/170.73 (define @t459 () (_ @t419 @t30)) % 170.49/170.73 (define @t460 () (not (_ @t459 @t409))) % 170.49/170.73 (define @t461 () (or @t460 @t413)) % 170.49/170.73 (define @t462 () (forall @t32 @t461)) % 170.49/170.73 (define @t463 () (forall @t32 (or @t442 @t438 (= @t434 @t432)))) % 170.49/170.73 (define @t464 () (@quantifiers_skolemize @t463 0)) % 170.49/170.73 (define @t465 () (_ @t431 @t430 @t464)) % 170.49/170.73 (define @t466 () (_ @t431 @t433 @t464)) % 170.49/170.73 (define @t467 () (= @t466 @t465)) % 170.49/170.73 (define @t468 () (= @t437 @t464)) % 170.49/170.73 (define @t469 () (_ @t440 @t439 @t464)) % 170.49/170.73 (define @t470 () (_ @t441 @t469 @t437)) % 170.49/170.73 (define @t471 () (not @t470)) % 170.49/170.73 (define @t472 () (or @t471 @t468 @t467)) % 170.49/170.73 (define @t473 () (not @t472)) % 170.49/170.73 (define @t474 () (not @t463)) % 170.49/170.73 (define @t475 () (= @t464 @t437)) % 170.49/170.73 (define @t476 () (or @t471 @t475 @t467)) % 170.49/170.73 (define @t477 () (not @t476)) % 170.49/170.73 (define @t478 () (@list true)) % 170.49/170.73 (define @t479 () (@list @t472)) % 170.49/170.73 (define @t480 () (@var "BOUND_VARIABLE_15922" (@ho-elim-sort (-> tptp.nat tptp.a)))) % 170.49/170.73 (define @t481 () (@const 8 (@ho-elim-sort (-> tptp.list_a (@ho-elim-sort (-> tptp.nat tptp.a)) tptp.nat tptp.a)))) % 170.49/170.73 (define @t482 () (@const 9 (-> (@ho-elim-sort (-> tptp.list_a (@ho-elim-sort (-> tptp.nat tptp.a)) tptp.nat tptp.a)) tptp.list_a (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat tptp.a)) tptp.nat tptp.a))))) % 170.49/170.73 (define @t483 () (@const 10 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat tptp.a)) tptp.nat tptp.a)) (@ho-elim-sort (-> tptp.nat tptp.a)) (@ho-elim-sort (-> tptp.nat tptp.a))))) % 170.49/170.73 (define @t484 () (_ @t431 (_ @t483 (_ @t482 @t481 @t12) @t480) @t17)) % 170.49/170.73 (define @t485 () (_ @t431 (_ @t429 @t428 @t12) @t17)) % 170.49/170.73 (define @t486 () (_ @t436 @t435 @t12)) % 170.49/170.73 (define @t487 () (= @t17 @t486)) % 170.49/170.73 (define @t488 () (not (_ @t441 (_ @t440 @t439 @t17) @t486))) % 170.49/170.73 (define @t489 () (or @t488 @t487 (= @t484 @t485))) % 170.49/170.73 (define @t490 () (@list @t17 @t12 @t480)) % 170.49/170.73 (define @t491 () (forall @t490 @t489)) % 170.49/170.73 (define @t492 () (tptp.nth_a @t12 @t17)) % 170.49/170.73 (define @t493 () (tptp.listIn1312259492pend_a @t12 @t10 @t17)) % 170.49/170.73 (define @t494 () (= @t493 @t492)) % 170.49/170.73 (define @t495 () (tptp.size_size_list_a @t12)) % 170.49/170.73 (define @t496 () (tptp.ord_less_eq_nat @t17 @t495)) % 170.49/170.73 (define @t497 () (not @t496)) % 170.49/170.73 (define @t498 () (or @t497 (= @t495 @t17) @t494)) % 170.49/170.73 (define @t499 () (= @t15 @t17)) % 170.49/170.73 (define @t500 () (_ @t227 @t15)) % 170.49/170.73 (define @t501 () (not @t500)) % 170.49/170.73 (define @t502 () (or @t501 @t499 @t25)) % 170.49/170.73 (define @t503 () (not @t499)) % 170.49/170.73 (define @t504 () (and @t500 @t503)) % 170.49/170.73 (define @t505 () (not (= @t17 @t15))) % 170.49/170.73 (define @t506 () (and @t500 @t505)) % 170.49/170.73 (define @t507 () (lambda @t185 (and (_ @t227 @t81) (not (= @t17 @t81))))) % 170.49/170.73 (define @t508 () (_ @t419 @t17)) % 170.49/170.73 (define @t509 () (=> (_ @t508 @t15) @t25)) % 170.49/170.73 (define @t510 () (@const 11 (@ho-elim-sort (-> tptp.nat tptp.a)))) % 170.49/170.73 (define @t511 () (_ @t483 (_ @t482 @t481 tptp.xs) @t510)) % 170.49/170.73 (define @t512 () (= @t465 (_ @t431 @t511 @t464))) % 170.49/170.73 (define @t513 () (or @t471 @t475 @t512)) % 170.49/170.73 (define @t514 () (forall @t490 (or @t488 @t487 (= @t485 @t484)))) % 170.49/170.73 (define @t515 () (or @t471 @t468 @t512)) % 170.49/170.73 (define @t516 () (@list false)) % 170.49/170.73 (define @t517 () (@list @t514)) % 170.49/170.73 (define @t518 () (not @t468)) % 170.49/170.73 (define @t519 () (_ @t431 @t511 @t262)) % 170.49/170.73 (define @t520 () (@const 12 (@ho-elim-sort (-> tptp.nat tptp.a)))) % 170.49/170.73 (define @t521 () (_ @t483 (_ @t482 @t481 tptp.ys) @t520)) % 170.49/170.73 (define @t522 () (_ @t431 @t521 @t262)) % 170.49/170.73 (define @t523 () (forall @t265 (= @t519 @t522))) % 170.49/170.73 (define @t524 () (tptp.listIn1312259492pend_a tptp.ys tptp.g @t262)) % 170.49/170.73 (define @t525 () (tptp.listIn1312259492pend_a tptp.xs tptp.f @t262)) % 170.49/170.73 (define @t526 () (= @t466 (_ @t431 @t521 @t464))) % 170.49/170.73 (define @t527 () (_ @t436 @t435 tptp.ys)) % 170.49/170.73 (define @t528 () (_ @t441 @t469 @t527)) % 170.49/170.73 (define @t529 () (not @t528)) % 170.49/170.73 (define @t530 () (= @t464 @t527)) % 170.49/170.73 (define @t531 () (or @t529 @t530 @t526)) % 170.49/170.73 (define @t532 () (= @t527 @t464)) % 170.49/170.73 (define @t533 () (or @t529 @t532 @t526)) % 170.49/170.73 (define @t534 () (not (= @t62 @t124))) % 170.49/170.73 (define @t535 () (_ @t440 @t439 @t62)) % 170.49/170.73 (define @t536 () (= @t126 @t124)) % 170.49/170.73 (define @t537 () (forall @t130 (or (not (_ @t441 @t535 @t126)) (not (_ @t441 (_ @t440 @t439 @t126) @t124)) @t536 (and (_ @t441 @t535 @t124) @t534)))) % 170.49/170.73 (define @t538 () (tptp.ord_less_eq_nat @t62 @t124)) % 170.49/170.73 (define @t539 () (tptp.ord_less_eq_nat @t126 @t124)) % 170.49/170.73 (define @t540 () (tptp.ord_less_eq_nat @t62 @t126)) % 170.49/170.73 (define @t541 () (and @t125 @t534)) % 170.49/170.73 (define @t542 () (or @t141 @t146 @t536 @t541)) % 170.49/170.73 (define @t543 () (or @t146 @t536 @t541)) % 170.49/170.73 (define @t544 () (not @t536)) % 170.49/170.73 (define @t545 () (and @t128 @t544)) % 170.49/170.73 (define @t546 () (=> @t545 @t541)) % 170.49/170.73 (define @t547 () (lambda @t185 (and (_ @t63 @t81) (not (= @t62 @t81))))) % 170.49/170.73 (define @t548 () (_ @t419 @t62)) % 170.49/170.73 (define @t549 () (not (= @t124 @t126))) % 170.49/170.73 (define @t550 () (and @t128 @t549)) % 170.49/170.73 (define @t551 () (_ @t127 @t81)) % 170.49/170.73 (define @t552 () (not (= @t126 @t81))) % 170.49/170.73 (define @t553 () (and @t551 @t552)) % 170.49/170.73 (define @t554 () (lambda @t185 @t553)) % 170.49/170.73 (define @t555 () (_ @t419 @t126)) % 170.49/170.73 (define @t556 () (=> (_ @t555 @t124) (_ @t548 @t124))) % 170.49/170.73 (define @t557 () (=> @t129 @t556)) % 170.49/170.73 (define @t558 () (not @t530)) % 170.49/170.73 (define @t559 () (and @t528 @t558)) % 170.49/170.73 (define @t560 () (_ @t441 (_ @t440 @t439 @t437) @t527)) % 170.49/170.73 (define @t561 () (not @t560)) % 170.49/170.73 (define @t562 () (or @t471 @t561 (= @t437 @t527) @t559)) % 170.49/170.73 (define @t563 () (not @t532)) % 170.49/170.73 (define @t564 () (and @t528 @t563)) % 170.49/170.73 (define @t565 () (= @t527 @t437)) % 170.49/170.73 (define @t566 () (or @t471 @t561 @t565 @t564)) % 170.49/170.73 (define @t567 () (and @t470 @t565)) % 170.49/170.73 (define @t568 () (not @t565)) % 170.49/170.73 (define @t569 () (and @t518 @t565)) % 170.49/170.73 (define @t570 () (not @t564)) % 170.49/170.73 (define @t571 () (@list @t564)) % 170.49/170.73 (assume @p1 (forall (@list @t4 @t3 @t2 @t1) (=> @t8 (= (= @t6 (_ (_ tptp.listIn923761578nd_nat @t3) @t1)) (and @t5 (= @t2 @t1)))))) % 170.49/170.73 (assume @p2 (forall (@list @t12 @t11 @t10 @t9) (=> @t16 (= (= @t14 (_ (_ tptp.listIn1312259492pend_a @t11) @t9)) (and @t13 (= @t10 @t9)))))) % 170.49/170.73 (assume @p3 (forall (@list @t17 @t4 @t2) (=> @t21 (= @t19 (_ @t18 @t17))))) % 170.49/170.73 (assume @p4 @t29) % 170.49/170.73 (assume @p5 (forall @t33 (=> @t8 (=> (forall @t32 (=> (_ @t31 @t7) (= (_ @t18 @t30) (_ (_ tptp.nth_nat @t3) @t30)))) @t5)))) % 170.49/170.73 (assume @p6 (forall @t34 (=> @t16 (=> (forall @t32 (=> (_ @t31 @t15) (= (_ @t22 @t30) (_ (_ tptp.nth_a @t11) @t30)))) @t13)))) % 170.49/170.73 (assume @p7 (forall (@list @t41 @t39) (= (forall @t44 (=> @t43 (exists @t48 (_ @t40 @t47)))) (exists @t46 (and (= @t45 @t41) (forall @t44 (=> @t43 (_ @t40 @t38)))))))) % 170.49/170.73 (assume @p8 (forall (@list @t41 @t52) (= (forall @t44 (=> @t43 (exists (@list @t55) (_ @t53 @t55)))) (exists (@list @t49) (and (= @t54 @t41) (forall @t44 (=> @t43 (_ @t53 @t51)))))))) % 170.49/170.73 (assume @p9 (= (lambda (@list @t58 @t57) (= @t58 @t57)) (lambda (@list @t36 @t56) (and (= @t45 (_ tptp.size_size_list_nat @t56)) (forall @t44 (=> (_ @t42 @t45) (= @t38 (_ (_ tptp.nth_nat @t56) @t35)))))))) % 170.49/170.73 (assume @p10 (= (lambda (@list @t61 @t60) (= @t61 @t60)) (lambda (@list @t49 @t59) (and (= @t54 (_ tptp.size_size_list_a @t59)) (forall @t44 (=> (_ @t42 @t54) (= @t51 (_ (_ tptp.nth_a @t59) @t35)))))))) % 170.49/170.73 (assume @p11 (forall @t64 (_ @t63 @t62))) % 170.49/170.73 (assume @p12 (forall (@list @t65 @t4) (=> (forall @t69 (=> (forall (@list @t67) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_nat @t67)) @t68) (_ @t65 @t67))) (_ @t65 @t66))) (_ @t65 @t4)))) % 170.49/170.73 (assume @p13 (forall (@list @t70 @t12) (=> (forall @t74 (=> (forall (@list @t72) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t72)) @t73) (_ @t70 @t72))) (_ @t70 @t71))) (_ @t70 @t12)))) % 170.49/170.73 (assume @p14 (forall @t80 (=> @t79 @t77))) % 170.49/170.73 (assume @p15 (= tptp.ord_less_eq_nat (lambda @t85 (or @t84 @t83)))) % 170.49/170.73 (assume @p16 (forall @t80 (=> @t87 @t77))) % 170.49/170.73 (assume @p17 (forall @t80 (=> @t77 (=> @t88 @t79)))) % 170.49/170.73 (assume @p18 (forall (@list @t2 @t90 @t89) (=> (forall (@list @t30 @t93) (=> @t94 (_ (_ tptp.ord_less_nat (_ @t2 @t30)) (_ @t2 @t93)))) (=> @t92 (_ (_ tptp.ord_less_eq_nat (_ @t2 @t90)) (_ @t2 @t89)))))) % 170.49/170.73 (assume @p19 (forall @t102 (=> @t101 (=> @t99 @t97)))) % 170.49/170.73 (assume @p20 (= @t111 (lambda @t108 (and @t107 @t106)))) % 170.49/170.73 (assume @p21 (forall @t115 (=> @t101 (=> @t114 (_ @t113 @t96))))) % 170.49/170.73 (assume @p22 (forall @t122 (=> (forall @t120 (=> (_ (_ tptp.ord_less_eq_nat @t117) @t116) @t119)) @t121))) % 170.49/170.73 (assume @p23 (forall @t123 (_ @t98 @t96))) % 170.49/170.73 (assume @p24 (forall @t130 (=> @t129 (=> @t128 @t125)))) % 170.49/170.73 (assume @p25 (forall @t131 (=> @t99 (=> @t101 @t97)))) % 170.49/170.73 (assume @p26 (forall @t134 (=> @t99 (=> @t133 @t132)))) % 170.49/170.73 (assume @p27 (forall @t134 (=> @t97 @t136))) % 170.49/170.73 (assume @p28 (= @t111 (lambda @t108 (and @t106 @t107)))) % 170.49/170.73 (assume @p29 (forall @t140 (=> @t139 @t138))) % 170.49/170.73 (assume @p30 (forall @t130 (=> (=> @t129 @t146) (=> (=> @t139 (not @t125)) (=> (=> @t125 (not @t145)) (=> (=> @t145 @t144) (=> (=> @t128 (not @t143)) (not (=> @t143 @t141))))))))) % 170.49/170.73 (assume @p31 (forall @t134 (=> @t99 @t136))) % 170.49/170.73 (assume @p32 (forall @t147 (=> @t141 @t139))) % 170.49/170.73 (assume @p33 (forall @t147 (=> @t137 @t129))) % 170.49/170.73 (assume @p34 (forall @t147 (or @t129 @t139))) % 170.49/170.73 (assume @p35 (forall @t147 (=> @t129 (=> @t139 @t137)))) % 170.49/170.73 (assume @p36 (= @t111 (lambda @t153 (and @t152 @t150)))) % 170.49/170.73 (assume @p37 (forall @t164 (=> @t99 (=> @t163 @t161)))) % 170.49/170.73 (assume @p38 (forall @t168 (=> @t167 @t166))) % 170.49/170.73 (assume @p39 (forall @t164 (=> @t99 (=> @t169 @t161)))) % 170.49/170.73 (assume @p40 (forall @t168 (=> @t170 @t166))) % 170.49/170.73 (assume @p41 (forall @t102 (=> @t173 @t171))) % 170.49/170.73 (assume @p42 (forall @t131 (=> @t175 @t171))) % 170.49/170.73 (assume @p43 (forall @t147 (= @t180 (or @t177 @t137)))) % 170.49/170.73 (assume @p44 (forall @t115 (=> @t173 @t183))) % 170.49/170.73 (assume @p45 (forall @t122 (=> (forall @t120 (=> (_ (_ tptp.ord_less_nat @t117) @t116) @t119)) (=> (forall (@list @t117) (_ @t118 @t117)) @t121)))) % 170.49/170.73 (assume @p46 (= (lambda (@list @t186) (exists @t48 (_ @t186 @t47))) (lambda (@list @t184) (exists @t185 (and (_ @t184 @t81) (forall (@list @t82) (=> @t84 (not (_ @t184 @t82))))))))) % 170.49/170.73 (assume @p47 (forall @t147 (=> @t179 @t187))) % 170.49/170.73 (assume @p48 (forall @t134 (=> @t175 @t190))) % 170.49/170.73 (assume @p49 (forall @t123 (not (_ @t174 @t96)))) % 170.49/170.73 (assume @p50 (forall @t147 (=> @t180 (=> @t191 @t177)))) % 170.49/170.73 (assume @p51 (forall (@list @t62 @t126 @t192) (=> @t179 (=> @t177 @t192)))) % 170.49/170.73 (assume @p52 (forall @t147 (=> @t179 (not (= @t126 @t62))))) % 170.49/170.73 (assume @p53 (forall @t140 (=> @t187 @t193))) % 170.49/170.73 (assume @p54 (forall (@list @t194 @t96) (=> (forall @t200 (=> (forall @t199 (=> (_ (_ tptp.ord_less_nat @t197) @t157) @t198)) @t196)) @t195))) % 170.49/170.73 (assume @p55 (forall @t147 (=> @t179 @t191))) % 170.49/170.73 (assume @p56 (forall @t102 (=> @t173 (not @t175)))) % 170.49/170.73 (assume @p57 (forall @t134 (=> @t175 (=> @t133 @t188)))) % 170.49/170.73 (assume @p58 (forall @t134 (=> @t97 @t190))) % 170.49/170.73 (assume @p59 (forall @t64 (not (_ @t178 @t62)))) % 170.49/170.73 (assume @p60 (forall @t147 (or @t179 @t137 @t177))) % 170.49/170.73 (assume @p61 (forall @t130 (=> @t179 @t202))) % 170.49/170.73 (assume @p62 (forall @t131 (=> @t175 (not @t173)))) % 170.49/170.73 (assume @p63 (forall @t147 (= @t191 (or @t179 @t177)))) % 170.49/170.73 (assume @p64 (forall @t147 (=> @t191 (=> @t180 @t177)))) % 170.49/170.73 (assume @p65 (forall @t64 (exists (@list @t203) (_ @t178 @t203)))) % 170.49/170.73 (assume @p66 (forall @t164 (=> @t175 (=> @t208 @t207)))) % 170.49/170.73 (assume @p67 (forall @t168 (=> @t211 @t210))) % 170.49/170.73 (assume @p68 (forall @t164 (=> @t175 (=> @t163 @t207)))) % 170.49/170.73 (assume @p69 (forall @t168 (=> @t167 @t210))) % 170.49/170.73 (assume @p70 (forall @t220 (=> (forall @t219 (=> (not @t218) (exists @t217 (and @t216 (not @t214))))) @t212))) % 170.49/170.73 (assume @p71 (forall @t220 (=> (forall @t219 (=> (forall @t217 (=> @t216 @t214)) @t218)) @t212))) % 170.49/170.73 (assume @p72 (forall @t221 (not (_ @t20 @t17)))) % 170.49/170.73 (assume @p73 (forall (@list @t223 @t222) (=> (_ (_ tptp.ord_less_nat @t223) @t222) (not (= @t223 @t222))))) % 170.49/170.73 (assume @p74 (forall @t225 (=> @t224 @t88))) % 170.49/170.73 (assume @p75 (forall @t80 (= @t88 (or @t79 @t224)))) % 170.49/170.73 (assume @p76 (forall (@list @t194 @t41 @t95) (=> @t226 (=> (forall (@list @t155) (=> (_ @t194 @t155) (_ (_ tptp.ord_less_eq_nat @t155) @t95))) (exists @t200 (and @t196 (forall @t199 (=> @t198 (_ (_ tptp.ord_less_eq_nat @t197) @t157))))))))) % 170.49/170.73 (assume @p77 (forall @t80 (or @t77 @t228))) % 170.49/170.73 (assume @p78 (forall @t80 (=> @t77 (=> @t228 @t86)))) % 170.49/170.73 (assume @p79 (forall @t80 (=> @t86 @t77))) % 170.49/170.73 (assume @p80 (forall @t229 (=> @t92 (=> (_ (_ tptp.ord_less_eq_nat @t89) @t41) (_ @t91 @t41))))) % 170.49/170.73 (assume @p81 (forall @t221 (_ @t227 @t17))) % 170.49/170.73 (assume @p82 (forall (@list @t231 @t230) (=> (not (= (_ tptp.size_size_list_a @t231) (_ tptp.size_size_list_a @t230))) (not (= @t231 @t230))))) % 170.49/170.73 (assume @p83 (forall (@list @t233 @t232) (=> (not (= (_ tptp.size_size_list_nat @t233) (_ tptp.size_size_list_nat @t232))) (not (= @t233 @t232))))) % 170.49/170.73 (assume @p84 (forall @t34 (=> (not @t16) (not @t13)))) % 170.49/170.73 (assume @p85 (forall @t33 (=> (not @t8) (not @t5)))) % 170.49/170.73 (assume @p86 (forall @t221 (exists @t74 (= @t73 @t17)))) % 170.49/170.73 (assume @p87 (forall @t221 (exists @t69 (= @t68 @t17)))) % 170.49/170.73 (assume @p88 (= tptp.list_desc_nat (lambda @t46 (forall @t240 (=> @t239 (forall @t44 (=> @t237 @t236))))))) % 170.49/170.73 (assume @p89 (forall @t131 (=> @t171 (=> @t99 @t175)))) % 170.49/170.73 (assume @p90 (forall @t102 (=> @t173 @t101))) % 170.49/170.73 (assume @p91 (= tptp.ord_less_nat (lambda @t243 (and @t107 @t242)))) % 170.49/170.73 (assume @p92 (= tptp.ord_less_eq_nat (lambda @t243 (or (_ (_ tptp.ord_less_nat @t103) @t104) @t241)))) % 170.49/170.73 (assume @p93 (forall @t131 (=> @t175 @t99))) % 170.49/170.73 (assume @p94 (forall @t115 (=> @t173 (=> @t114 @t182)))) % 170.49/170.73 (assume @p95 (forall @t115 (=> @t101 @t183))) % 170.49/170.73 (assume @p96 (= tptp.ord_less_nat (lambda @t108 (and @t106 @t242)))) % 170.49/170.73 (assume @p97 (= tptp.ord_less_eq_nat (lambda @t108 (or (_ @t244 @t103) @t241)))) % 170.49/170.73 (assume @p98 (forall @t134 (=> @t175 (=> @t135 @t188)))) % 170.49/170.73 (assume @p99 (forall @t134 (=> @t99 @t190))) % 170.49/170.73 (assume @p100 (forall @t140 (=> @t144 @t179))) % 170.49/170.73 (assume @p101 (= tptp.ord_less_nat (lambda @t153 (and @t152 (not @t150))))) % 170.49/170.73 (assume @p102 (forall @t147 (=> @t129 (or @t179 @t137)))) % 170.49/170.73 (assume @p103 (forall @t147 (or @t129 @t177))) % 170.49/170.73 (assume @p104 (forall @t130 (=> @t179 (=> @t128 @t201)))) % 170.49/170.73 (assume @p105 @t246) % 170.49/170.73 (assume @p106 (forall @t147 (=> @t179 @t129))) % 170.49/170.73 (assume @p107 (forall @t147 (=> @t129 @t193))) % 170.49/170.73 (assume @p108 (forall @t147 (=> @t180 @t138))) % 170.49/170.73 (assume @p109 (forall @t131 (=> @t99 (=> @t171 @t175)))) % 170.49/170.73 (assume @p110 (forall @t147 (= @t180 @t139))) % 170.49/170.73 (assume @p111 (forall @t147 (= @t141 @t177))) % 170.49/170.73 (assume @p112 (forall @t164 (=> @t175 (=> @t169 @t207)))) % 170.49/170.73 (assume @p113 (forall @t168 (=> @t211 (=> @t135 (=> @t160 @t209))))) % 170.49/170.73 (assume @p114 (forall @t164 (=> @t99 (=> @t208 (=> @t160 @t204))))) % 170.49/170.73 (assume @p115 (forall @t168 (=> @t170 @t210))) % 170.49/170.73 (assume @p116 (= tptp.ord_less_nat (lambda @t153 (and @t152 (not @t247))))) % 170.49/170.73 (assume @p117 (= tptp.ord_less_eq_nat (lambda @t153 (or (_ @t248 @t149) @t247)))) % 170.49/170.73 (assume @p118 (forall @t147 (=> @t180 @t139))) % 170.49/170.73 (assume @p119 (forall @t140 (=> @t139 @t180))) % 170.49/170.73 (assume @p120 (forall @t253 (=> @t252 (forall (@list @t249) (=> (_ (_ tptp.ord_less_nat @t249) @t7) (forall @t251 (=> (_ (_ tptp.ord_less_eq_nat @t250) @t249) (_ (_ tptp.ord_less_eq_nat (_ @t18 @t250)) (_ @t18 @t249))))))))) % 170.49/170.73 (assume @p121 (= tptp.list_asc_nat (lambda @t46 (forall @t240 (=> @t239 (forall @t44 (=> @t237 @t255))))))) % 170.49/170.73 (assume @p122 (forall (@list @t17 @t194 @t75) (=> (forall @t259 (=> (_ @t20 @t257) @t258)) (=> (forall @t259 (=> (_ (_ tptp.ord_less_eq_nat @t257) @t17) (=> (forall @t251 (=> (_ (_ tptp.ord_less_nat @t257) @t250) (_ @t194 @t250))) @t258))) @t256)))) % 170.49/170.73 (assume @p123 (forall (@list @t96 @t95 @t194) (=> @t175 (=> @t195 (=> (not (_ @t194 @t95)) (exists (@list @t260) (and (_ @t98 @t260) (_ (_ tptp.ord_less_eq_nat @t260) @t95) (forall @t265 (=> (and (_ @t98 @t262) (_ @t264 @t260)) @t263)) (forall (@list @t261) (=> (forall @t200 (=> (and (_ @t98 @t157) (_ @t205 @t261)) @t196)) (_ (_ tptp.ord_less_eq_nat @t261) @t260)))))))))) % 170.49/170.73 (assume @p124 (= tptp.ord_less_eq_nat (lambda @t268 (forall @t267 (=> (_ @t244 @t148) @t266))))) % 170.49/170.73 (assume @p125 (= tptp.ord_less_nat (lambda @t269 (forall @t267 (=> (_ @t151 @t104) @t266))))) % 170.49/170.73 (assume @p126 (= tptp.ord_less_nat (lambda @t268 (forall @t267 (=> (_ @t105 @t148) @t266))))) % 170.49/170.73 (assume @p127 (forall @t253 (=> @t252 (_ tptp.list_asc_nat @t4)))) % 170.49/170.73 (assume @p128 (forall @t253 (=> (_ tptp.list_strict_desc_nat @t4) (_ tptp.list_desc_nat @t4)))) % 170.49/170.73 (assume @p129 (= tptp.ord_less_eq_nat (lambda @t269 (forall @t267 (=> (_ @t248 @t104) @t266))))) % 170.49/170.73 (assume @p130 (forall @t274 (exists @t273 (forall @t265 (=> @t272 (not @t270)))))) % 170.49/170.73 (assume @p131 (forall @t274 (exists @t273 (forall @t265 (=> @t272 @t275))))) % 170.49/170.73 (assume @p132 (forall @t274 (exists @t273 (forall @t265 (=> @t276 @t270))))) % 170.49/170.73 (assume @p133 (forall @t291 (=> @t290 (=> @t288 (exists @t273 (forall @t265 (=> @t276 @t283))))))) % 170.49/170.73 (assume @p134 (forall @t291 (=> @t290 (=> @t288 (exists @t273 (forall @t265 (=> @t276 @t292))))))) % 170.49/170.73 (assume @p135 (forall @t274 (exists @t273 (forall @t265 (=> @t276 @t293))))) % 170.49/170.73 (assume @p136 (forall @t274 (exists @t273 (forall @t265 (=> @t276 (not @t294)))))) % 170.49/170.73 (assume @p137 (forall @t274 (exists @t273 (forall @t265 (=> @t276 @t295))))) % 170.49/170.73 (assume @p138 (forall @t291 (=> @t298 (=> @t297 (exists @t273 (forall @t265 (=> @t272 @t283))))))) % 170.49/170.73 (assume @p139 (forall @t291 (=> @t298 (=> @t297 (exists @t273 (forall @t265 (=> @t272 @t292))))))) % 170.49/170.73 (assume @p140 (forall @t274 (exists @t273 (forall @t265 (=> @t272 @t293))))) % 170.49/170.73 (assume @p141 (forall @t274 (exists @t273 (forall @t265 (=> @t272 @t294))))) % 170.49/170.73 (assume @p142 (forall @t274 (exists @t273 (forall @t265 (=> @t272 (not @t295)))))) % 170.49/170.73 (assume @p143 (forall @t274 (exists @t273 (forall @t265 (=> @t276 (not @t275)))))) % 170.49/170.73 (assume @p144 (forall (@list @t299 @t300) (= (not (_ (_ tptp.ord_less_eq_nat @t299) @t300)) (_ (_ tptp.ord_less_nat @t300) @t299)))) % 170.49/170.73 (assume @p145 (forall @t305 (=> (_ tptp.linorder_sorted_nat @t4) (=> @t92 (=> @t304 (_ (_ tptp.ord_less_eq_nat @t302) @t301)))))) % 170.49/170.73 (assume @p146 (= tptp.list_asc_nat tptp.linorder_sorted_nat)) % 170.49/170.73 (assume @p147 (forall @t131 (or @t97 (not @t99) (not @t101)))) % 170.49/170.73 (assume @p148 (= tptp.linorder_sorted_nat (lambda @t46 (forall @t307 (=> @t237 @t306))))) % 170.49/170.73 (assume @p149 (forall @t305 (=> @t309 (=> @t92 (=> @t304 (_ (_ tptp.ord_less_eq_nat @t301) @t302)))))) % 170.49/170.73 (assume @p150 (forall @t253 (= @t309 (forall @t307 (=> @t311 (=> (_ @t238 @t7) (_ (_ tptp.ord_less_eq_nat (_ @t18 @t234)) @t310))))))) % 170.49/170.73 (assume @p151 (= tptp.linorder_sorted_nat (lambda @t46 (forall @t44 (=> (_ @t313 @t45) (_ @t254 (_ @t37 @t312))))))) % 170.49/170.73 (assume @p152 (forall (@list @t315 @t314) (= (= (_ tptp.suc @t315) (_ tptp.suc @t314)) (= @t315 @t314)))) % 170.49/170.73 (assume @p153 (forall (@list @t317 @t316) (= (= (_ tptp.suc @t317) (_ tptp.suc @t316)) (= @t317 @t316)))) % 170.49/170.73 (assume @p154 (forall @t33 (= (= @t308 @t318) @t5))) % 170.49/170.73 (assume @p155 (forall @t34 (= (= @t320 @t319) @t13))) % 170.49/170.73 (assume @p156 (forall @t253 (= (_ tptp.rev_nat @t308) @t4))) % 170.49/170.73 (assume @p157 (forall @t321 (= (_ tptp.rev_a @t320) @t12))) % 170.49/170.73 (assume @p158 (forall @t80 (= @t325 @t79))) % 170.49/170.73 (assume @p159 (forall @t80 (=> @t79 @t325))) % 170.49/170.73 (assume @p160 (forall @t221 (_ @t20 @t322))) % 170.49/170.73 (assume @p161 (forall @t225 (= (_ @t326 @t323) @t228))) % 170.49/170.73 (assume @p162 (forall @t321 (= (_ tptp.size_size_list_a @t320) @t15))) % 170.49/170.73 (assume @p163 (forall @t253 (= (_ tptp.size_size_list_nat @t308) @t7))) % 170.49/170.73 (assume @p164 (forall @t80 (=> @t327 @t77))) % 170.49/170.73 (assume @p165 (forall @t80 (=> @t330 (=> @t329 @t328)))) % 170.49/170.73 (assume @p166 (forall @t80 (=> @t77 @t330))) % 170.49/170.73 (assume @p167 (forall (@list @t17 @t332) (=> (_ @t326 @t332) (exists (@list @t331) (= @t332 (_ tptp.suc @t331)))))) % 170.49/170.73 (assume @p168 (forall @t80 (= @t330 (or @t77 @t328)))) % 170.49/170.73 (assume @p169 (forall @t221 (not (_ @t326 @t17)))) % 170.49/170.73 (assume @p170 (forall @t80 (= @t329 (_ @t326 @t75)))) % 170.49/170.73 (assume @p171 (forall @t220 (=> (forall @t219 (=> (forall @t217 (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t213)) @t215) @t214)) @t218)) @t212))) % 170.49/170.73 (assume @p172 (forall (@list @t75 @t17 @t194) (=> @t77 (=> @t256 (=> (forall @t219 (=> (_ @t76 @t215) @t335)) @t212))))) % 170.49/170.73 (assume @p173 (forall (@list @t75 @t17 @t336) (=> @t77 (=> (forall @t200 (_ @t337 @t157)) (=> (forall (@list @t157 @t155 @t271) (=> (_ @t337 @t155) (=> (_ (_ @t336 @t155) @t271) (_ @t337 @t271)))) (=> (forall @t219 (_ (_ @t336 @t215) @t333)) (_ (_ @t336 @t75) @t17))))))) % 170.49/170.73 (assume @p174 (forall @t221 (not (= @t17 @t322)))) % 170.49/170.73 (assume @p175 (forall @t147 (=> (= (_ tptp.suc @t62) (_ tptp.suc @t126)) @t137))) % 170.49/170.73 (assume @p176 (forall @t33 (= (= @t308 @t3) (= @t4 @t318)))) % 170.49/170.73 (assume @p177 (forall @t34 (= (= @t320 @t11) (= @t12 @t319)))) % 170.49/170.73 (assume @p178 (forall @t225 (=> @t340 @t339))) % 170.49/170.73 (assume @p179 (forall @t346 (=> @t345 (=> (forall @t32 (=> (= @t89 @t343) @t342)) (=> (forall @t32 (=> (_ @t31 @t89) (=> (_ @t194 @t343) @t342))) @t341))))) % 170.49/170.73 (assume @p180 (forall (@list @t90 @t89 @t39) (=> @t345 (=> (forall @t32 (_ @t347 @t343)) (=> (forall (@list @t30 @t93 @t257) (=> @t94 (=> (_ (_ tptp.ord_less_nat @t93) @t257) (=> (_ @t347 @t93) (=> (_ (_ @t39 @t93) @t257) (_ @t347 @t257)))))) (_ (_ @t39 @t90) @t89)))))) % 170.49/170.73 (assume @p181 (forall @t229 (=> @t345 (=> @t350 @t349)))) % 170.49/170.73 (assume @p182 (forall @t80 (=> @t325 @t79))) % 170.49/170.73 (assume @p183 (forall @t225 (=> @t340 (=> @t338 @t86)))) % 170.49/170.73 (assume @p184 (forall @t225 (= (_ (_ tptp.ord_less_nat @t322) @t75) (exists (@list @t351) (and (= @t75 (_ tptp.suc @t351)) (_ @t20 @t351)))))) % 170.49/170.73 (assume @p185 (forall @t355 (= (forall @t44 (=> @t354 @t352)) (and @t212 (forall @t44 (=> @t353 @t352)))))) % 170.49/170.73 (assume @p186 (forall @t80 (= @t356 @t338))) % 170.49/170.73 (assume @p187 (forall @t80 (= @t357 @t87))) % 170.49/170.73 (assume @p188 (forall @t355 (= (exists @t44 (and @t354 @t352)) (or @t212 (exists @t44 (and @t353 @t352)))))) % 170.49/170.73 (assume @p189 (forall @t80 (=> @t79 @t357))) % 170.49/170.73 (assume @p190 (forall @t80 (=> @t357 (=> @t356 @t86)))) % 170.49/170.73 (assume @p191 (forall @t80 (=> @t79 (=> (not (= @t323 @t17)) @t358)))) % 170.49/170.73 (assume @p192 (forall @t360 (=> @t349 @t359))) % 170.49/170.73 (assume @p193 (forall @t80 (=> @t358 @t79))) % 170.49/170.73 (assume @p194 (forall @t360 (=> (_ @t344 @t41) (=> (not (= @t41 @t348)) @t359)))) % 170.49/170.73 (assume @p195 (forall (@list @t2 @t17 @t75) (=> @t365 (= (_ @t362 (_ @t2 @t75)) @t224)))) % 170.49/170.73 (assume @p196 (forall @t368 (=> @t365 (=> (_ @t20 @t366) (_ @t362 @t367))))) % 170.49/170.73 (assume @p197 (forall @t368 (=> (forall @t219 (_ (_ tptp.ord_less_eq_nat @t363) @t364)) (=> @t369 (_ (_ tptp.ord_less_eq_nat @t367) @t361))))) % 170.49/170.73 (assume @p198 (forall @t368 (=> (forall @t219 (_ (_ tptp.ord_less_eq_nat @t364) @t363)) (=> @t369 (_ (_ tptp.ord_less_eq_nat @t361) @t367))))) % 170.49/170.73 (assume @p199 (forall @t80 (=> @t77 @t357))) % 170.49/170.73 (assume @p200 (= tptp.ord_less_nat (lambda (@list @t81 @t370) (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t81)) @t370)))) % 170.49/170.73 (assume @p201 (forall @t80 (= @t357 @t77))) % 170.49/170.73 (assume @p202 (forall @t80 (=> @t77 @t339))) % 170.49/170.73 (assume @p203 (forall @t80 (=> @t327 @t79))) % 170.49/170.73 (assume @p204 (forall @t346 (=> @t92 (=> @t374 (=> (forall @t219 (=> @t373 (=> @t372 @t371))) @t341))))) % 170.49/170.73 (assume @p205 (forall @t346 (=> @t92 (=> @t341 (=> (forall @t219 (=> @t373 (=> @t372 @t335))) @t374))))) % 170.49/170.73 (assume @p206 (forall @t80 (= @t327 @t79))) % 170.49/170.73 (assume @p207 (forall @t80 (=> @t79 @t327))) % 170.49/170.73 (assume @p208 (forall @t253 (= @t309 (forall @t44 (=> (_ @t313 @t7) (_ (_ tptp.ord_less_eq_nat (_ @t18 @t312)) @t310)))))) % 170.49/170.73 (assume @p209 (forall (@list @t194 @t375 @t17) (=> (_ @t194 @t375) (=> (forall @t219 (=> (_ @t376 @t215) @t335)) (=> (_ @t376 @t17) @t212))))) % 170.49/170.73 (assume @p210 (forall (@list @t17 @t12) (=> @t26 (= (_ (_ tptp.nth_a @t320) @t17) (_ @t22 (_ (_ tptp.minus_minus_nat @t15) @t322)))))) % 170.49/170.73 (assume @p211 (forall (@list @t17 @t4) (=> @t21 (= (_ (_ tptp.nth_nat @t308) @t17) (_ @t18 (_ (_ tptp.minus_minus_nat @t7) @t322)))))) % 170.49/170.73 (assume @p212 (forall (@list @t75 @t17 @t41) (= (_ (_ tptp.minus_minus_nat (_ @t379 @t17)) (_ tptp.suc @t41)) (_ (_ tptp.minus_minus_nat @t378) @t41)))) % 170.49/170.73 (assume @p213 (forall @t80 (= (_ @t379 @t322) @t378))) % 170.49/170.73 (assume @p214 (forall (@list @t90 @t17) (=> (_ @t91 @t17) (= (_ @t380 (_ @t380 @t90)) @t90)))) % 170.49/170.73 (assume @p215 (forall (@list @t194 @t4) (= (_ @t381 @t308) (_ @t381 @t4)))) % 170.49/170.73 (assume @p216 (forall (@list @t382 @t12) (= (_ @t383 @t320) (_ @t383 @t12)))) % 170.49/170.73 (assume @p217 (forall (@list @t4 @t17 @t2) (=> (_ (_ tptp.ord_less_eq_nat @t7) @t17) (= @t19 (_ @t2 (_ @t380 @t7)))))) % 170.49/170.73 (assume @p218 (forall (@list @t12 @t17 @t10) (=> (_ (_ tptp.ord_less_eq_nat @t15) @t17) (= @t24 (_ @t10 (_ @t380 @t15)))))) % 170.49/170.73 (assume @p219 (forall (@list @t194 @t41 @t90) (=> @t226 (=> (forall @t219 @t371) (_ @t194 (_ @t384 @t90)))))) % 170.49/170.73 (assume @p220 (forall (@list @t90 @t89 @t75) (=> (_ @t344 (_ @t385 @t75)) @t345))) % 170.49/170.73 (assume @p221 (forall @t389 (=> @t388 (=> (_ @t78 @t41) @t86)))) % 170.49/170.73 (assume @p222 (forall @t389 (=> @t388 (=> (_ @t20 @t41) @t86)))) % 170.49/170.73 (assume @p223 (forall @t389 (=> (_ (_ tptp.ord_less_nat @t387) @t386) @t224))) % 170.49/170.73 (assume @p224 (forall @t394 (=> @t393 (=> (_ @t390 @t75) @t86)))) % 170.49/170.73 (assume @p225 (forall @t394 (=> @t393 (=> (_ @t390 @t17) @t86)))) % 170.49/170.73 (assume @p226 (forall (@list @t17 @t41 @t75) (=> (_ (_ tptp.ord_less_nat @t391) @t392) @t224))) % 170.49/170.73 (assume @p227 (forall @t399 (=> @t79 (=> (_ @t78 @t395) (_ (_ tptp.ord_less_nat @t398) @t397))))) % 170.49/170.73 (assume @p228 (forall (@list @t89 @t41 @t17) (=> @t350 (_ (_ tptp.ord_less_nat (_ @t385 @t17)) @t41)))) % 170.49/170.73 (assume @p229 (forall @t229 (= (_ (_ tptp.minus_minus_nat (_ @t400 @t89)) @t41) (_ (_ tptp.minus_minus_nat (_ @t400 @t41)) @t89)))) % 170.49/170.73 (assume @p230 (forall @t399 (=> @t77 (_ (_ tptp.ord_less_eq_nat @t398) @t397)))) % 170.49/170.73 (assume @p231 (forall (@list @t96 @t112 @t95) (=> @t132 (=> @t135 (= (_ (_ tptp.ord_less_eq_nat (_ @t401 @t96)) (_ @t401 @t95)) @t101))))) % 170.49/170.73 (assume @p232 (forall @t80 (_ (_ tptp.ord_less_eq_nat @t378) @t75))) % 170.49/170.73 (assume @p233 (forall @t399 (=> @t77 (_ (_ tptp.ord_less_eq_nat (_ @t377 @t395)) (_ @t380 @t395))))) % 170.49/170.73 (assume @p234 (forall @t389 (=> @t404 (=> @t403 (= (_ (_ tptp.minus_minus_nat @t392) @t391) @t378))))) % 170.49/170.73 (assume @p235 (forall @t389 (=> @t404 (=> @t403 (= (_ (_ tptp.ord_less_eq_nat @t392) @t391) @t77))))) % 170.49/170.73 (assume @p236 @t408) % 170.49/170.73 (assume @p237 @t410) % 170.49/170.73 (assume @p238 @t417) % 170.49/170.73 (assume @p239 true) % 170.49/170.73 (step @p240 (= tptp.list_desc_nat @t418) :rule refl :args (@t418)) % 170.49/170.73 (step @p241 (= tptp.ord_less_nat @t419) :rule refl :args (@t419)) % 170.49/170.73 (step @p242 (= tptp.list_asc_nat @t420) :rule refl :args (@t420)) % 170.49/170.73 (step @p243 (= tptp.list_strict_desc_nat @t421) :rule refl :args (@t421)) % 170.49/170.73 (step @p244 (= tptp.list_strict_asc_nat @t422) :rule refl :args (@t422)) % 170.49/170.73 (step @p245 (= tptp.linorder_sorted_nat @t423) :rule refl :args (@t423)) % 170.49/170.73 (step @p246 (= tptp.list_ex_a @t426) :rule refl :args (@t426)) % 170.49/170.73 (step @p247 (= tptp.list_ex_nat @t427) :rule refl :args (@t427)) % 170.49/170.73 (step @p248 :rule eq-symm :args (@t432 @t434)) % 170.49/170.73 (step @p249 :rule refl :args (@t438)) % 170.49/170.73 (step @p250 :rule refl :args (@t442)) % 170.49/170.73 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248) :args (@t443)) % 170.49/170.73 (step @p252 :rule cong :premises (@p251) :args (@t444)) % 170.49/170.73 (step @p253 :rule cong :premises (@p252) :args (@t445)) % 170.49/170.73 ; WARNING: add trust step for TRUST % 170.49/170.73 ; trust TRUST PREPROCESS_HO_ELIM % 170.49/170.73 (step @p254 :rule trust :premises () :args ((= (not (forall @t32 (or (not @t449) (= @t30 @t448) (= @t447 @t446)))) @t445))) % 170.49/170.73 (step @p255 :rule refl :args (@t446)) % 170.49/170.73 (step @p256 :rule refl :args (@t411)) % 170.49/170.73 (step @p257 :rule cong :premises (@p256 @p255) :args ((= @t411 @t446))) % 170.49/170.73 (step @p258 :rule symm :premises (@p257)) % 170.49/170.73 (step @p259 :rule eq_resolve :premises (@p256 @p258)) % 170.49/170.73 (step @p260 :rule refl :args (@t447)) % 170.49/170.73 (step @p261 :rule refl :args (@t412)) % 170.49/170.73 (step @p262 :rule cong :premises (@p261 @p260) :args ((= @t412 @t447))) % 170.49/170.73 (step @p263 :rule symm :premises (@p262)) % 170.49/170.73 (step @p264 :rule eq_resolve :premises (@p261 @p263)) % 170.49/170.73 (step @p265 :rule cong :premises (@p264 @p259) :args (@t413)) % 170.49/170.73 (step @p266 :rule refl :args (@t448)) % 170.49/170.73 (step @p267 :rule refl :args (@t409)) % 170.49/170.73 (step @p268 :rule cong :premises (@p267 @p266) :args ((= @t409 @t448))) % 170.49/170.73 (step @p269 :rule symm :premises (@p268)) % 170.49/170.73 (step @p270 :rule eq_resolve :premises (@p267 @p269)) % 170.49/170.73 (step @p271 :rule refl :args (@t30)) % 170.49/170.73 (step @p272 :rule cong :premises (@p271 @p270) :args (@t450)) % 170.49/170.73 (step @p273 :rule refl :args ((tptp.ord_less_eq_nat @t30 @t409))) % 170.49/170.73 (step @p274 :rule cong :premises (@p271 @p266) :args (@t449)) % 170.49/170.73 (step @p275 :rule trans :premises (@p274 @p273)) % 170.49/170.73 (step @p276 :rule refl :args (@t451)) % 170.49/170.73 (step @p277 :rule ho_cong :premises (@p276 @p266)) % 170.49/170.73 (step @p278 :rule cong :premises (@p277 @p275) :args ((= (_ @t451 @t448) @t449))) % 170.49/170.73 (step @p279 :rule symm :premises (@p278)) % 170.49/170.73 (step @p280 :rule refl :args (@t452)) % 170.49/170.73 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 170.49/170.73 (step @p282 :rule ho_cong :premises (@p276 @p270)) % 170.49/170.73 (step @p283 :rule trans :premises (@p282 @p281)) % 170.49/170.73 (step @p284 :rule cong :premises (@p283) :args (@t453)) % 170.49/170.73 (step @p285 :rule nary_cong :premises (@p284 @p272 @p265) :args (@t454)) % 170.49/170.73 (step @p286 :rule cong :premises (@p285) :args ((forall @t32 @t454))) % 170.49/170.73 (step @p287 :rule aci_norm :args ((= (or (or @t453 @t450) @t413) @t454))) % 170.49/170.73 (step @p288 :rule refl :args (@t413)) % 170.49/170.73 (step @p289 :rule bool-double-not-elim :args (@t450)) % 170.49/170.73 (step @p290 :rule refl :args (@t453)) % 170.49/170.73 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t453 (not @t455)))) % 170.49/170.73 (step @p292 :rule bool-and-de-morgan :args (@t452 @t455 true)) % 170.49/170.73 (step @p293 :rule trans :premises (@p292 @p291)) % 170.49/170.73 (step @p294 :rule nary_cong :premises (@p293 @p288) :args (@t457)) % 170.49/170.73 (step @p295 :rule trans :premises (@p294 @p287)) % 170.49/170.73 (step @p296 :rule cong :premises (@p295) :args ((forall @t32 @t457))) % 170.49/170.73 (step @p297 :rule trans :premises (@p296 @p286)) % 170.49/170.73 (step @p298 :rule refl :args (@t413)) % 170.49/170.73 (step @p299 :rule beta-reduce :args ((= (_ @t458 @t409) @t456))) % 170.49/170.73 (step @p300 :rule refl :args (@t409)) % 170.49/170.73 (step @p301 :rule beta-reduce :args ((= @t459 @t458))) % 170.49/170.73 (step @p302 :rule ho_cong :premises (@p301 @p300)) % 170.49/170.73 (step @p303 :rule trans :premises (@p302 @p299)) % 170.49/170.73 (step @p304 :rule cong :premises (@p303) :args (@t460)) % 170.49/170.73 (step @p305 :rule nary_cong :premises (@p304 @p298) :args (@t461)) % 170.49/170.73 (step @p306 :rule cong :premises (@p305) :args (@t462)) % 170.49/170.73 (step @p307 :rule trans :premises (@p306 @p297)) % 170.49/170.73 (step @p308 :rule cong :premises (@p307) :args ((not @t462))) % 170.49/170.73 (step @p309 :rule refl :args (@t30)) % 170.49/170.73 (step @p310 :rule ho_cong :premises (@p241 @p309)) % 170.49/170.73 (step @p311 :rule ho_cong :premises (@p310 @p300)) % 170.49/170.73 (step @p312 :rule cong :premises (@p311) :args (@t414)) % 170.49/170.73 (step @p313 :rule nary_cong :premises (@p312 @p298) :args (@t415)) % 170.49/170.73 (step @p314 :rule cong :premises (@p313) :args (@t416)) % 170.49/170.73 (step @p315 :rule cong :premises (@p314) :args (@t417)) % 170.49/170.73 (step @p316 :rule trans :premises (@p315 @p308)) % 170.49/170.73 (step @p317 :rule trans :premises (@p316 @p254 @p253)) % 170.49/170.73 (step @p318 :rule eq_resolve :premises (@p238 @p317)) % 170.49/170.73 (step @p319 :rule refl :args (@t473)) % 170.49/170.73 (step @p320 :rule bool-double-not-elim :args (@t463)) % 170.49/170.73 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or (not @t474) @t473))) % 170.49/170.73 (step @p322 :rule refl :args (@t467)) % 170.49/170.73 (step @p323 :rule eq-symm :args (@t464 @t437)) % 170.49/170.73 (step @p324 :rule refl :args (@t471)) % 170.49/170.73 (step @p325 :rule nary_cong :premises (@p324 @p323 @p322) :args (@t476)) % 170.49/170.73 (step @p326 :rule cong :premises (@p325) :args (@t477)) % 170.49/170.73 (step @p327 :rule refl :args (@t474)) % 170.49/170.73 (step @p328 :rule cong :premises (@p327 @p326) :args ((=> @t474 @t477))) % 170.49/170.73 (assume-push @p632 @t474) % 170.49/170.73 (step @p330 :rule skolemize :premises (@p318)) % 170.49/170.73 (step-pop @p633 :rule scope :premises (@p330)) % 170.49/170.73 (step @p331 :rule process_scope :premises (@p633) :args (@t477)) % 170.49/170.73 (step @p333 :rule eq_resolve :premises (@p331 @p328)) % 170.49/170.73 (step @p334 :rule implies_elim :premises (@p333)) % 170.49/170.73 (step @p335 :rule eq_resolve :premises (@p334 @p321)) % 170.49/170.73 (step @p336 :rule chain_m_resolution :premises (@p335 @p318) :args (@t473 @t478 (@list @t463))) % 170.49/170.73 (step @p337 :rule cnf_or_neg :args (@t472 2)) % 170.49/170.73 (step @p338 :rule chain_m_resolution :premises (@p337 @p336) :args ((not @t467) @t478 @t479)) % 170.49/170.73 (step @p339 :rule false_intro :premises (@p338)) % 170.49/170.73 (step @p340 :rule eq-symm :args (@t484 @t485)) % 170.49/170.73 (step @p341 :rule refl :args (@t487)) % 170.49/170.73 (step @p342 :rule refl :args (@t488)) % 170.49/170.73 (step @p343 :rule nary_cong :premises (@p342 @p341 @p340) :args (@t489)) % 170.49/170.73 (step @p344 :rule cong :premises (@p343) :args (@t491)) % 170.49/170.73 ; trust TRUST PREPROCESS_HO_ELIM % 170.49/170.73 (step @p345 :rule trust :premises () :args ((= (forall @t28 (or @t497 (= @t17 @t495) @t494)) @t491))) % 170.49/170.73 (step @p346 :rule refl :args (@t494)) % 170.49/170.73 (step @p347 :rule eq-symm :args (@t495 @t17)) % 170.49/170.73 (step @p348 :rule refl :args (@t497)) % 170.49/170.73 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346) :args (@t498)) % 170.49/170.73 (step @p350 :rule cong :premises (@p349) :args ((forall @t28 @t498))) % 170.49/170.73 (step @p351 :rule refl :args (@t492)) % 170.49/170.73 (step @p352 :rule refl :args (@t23)) % 170.49/170.73 (step @p353 :rule cong :premises (@p352 @p351) :args ((= @t23 @t492))) % 170.49/170.73 (step @p354 :rule symm :premises (@p353)) % 170.49/170.73 (step @p355 :rule eq_resolve :premises (@p352 @p354)) % 170.49/170.73 (step @p356 :rule refl :args (@t493)) % 170.49/170.73 (step @p357 :rule refl :args (@t24)) % 170.49/170.73 (step @p358 :rule cong :premises (@p357 @p356) :args ((= @t24 @t493))) % 170.49/170.73 (step @p359 :rule symm :premises (@p358)) % 170.49/170.73 (step @p360 :rule eq_resolve :premises (@p357 @p359)) % 170.49/170.73 (step @p361 :rule cong :premises (@p360 @p355) :args (@t25)) % 170.49/170.73 (step @p362 :rule refl :args (@t17)) % 170.49/170.73 (step @p363 :rule refl :args (@t495)) % 170.49/170.73 (step @p364 :rule refl :args (@t15)) % 170.49/170.73 (step @p365 :rule cong :premises (@p364 @p363) :args ((= @t15 @t495))) % 170.49/170.73 (step @p366 :rule symm :premises (@p365)) % 170.49/170.73 (step @p367 :rule eq_resolve :premises (@p364 @p366)) % 170.49/170.73 (step @p368 :rule cong :premises (@p367 @p362) :args (@t499)) % 170.49/170.73 (step @p369 :rule refl :args ((tptp.ord_less_eq_nat @t17 @t15))) % 170.49/170.73 (step @p370 :rule cong :premises (@p362 @p363) :args (@t496)) % 170.49/170.73 (step @p371 :rule trans :premises (@p370 @p369)) % 170.49/170.73 (step @p372 :rule refl :args (@t227)) % 170.49/170.73 (step @p373 :rule ho_cong :premises (@p372 @p363)) % 170.49/170.73 (step @p374 :rule cong :premises (@p373 @p371) :args ((= (_ @t227 @t495) @t496))) % 170.49/170.73 (step @p375 :rule symm :premises (@p374)) % 170.49/170.73 (step @p376 :rule refl :args (@t500)) % 170.49/170.73 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 170.49/170.73 (step @p378 :rule ho_cong :premises (@p372 @p367)) % 170.49/170.73 (step @p379 :rule trans :premises (@p378 @p377)) % 170.49/170.73 (step @p380 :rule cong :premises (@p379) :args (@t501)) % 170.49/170.73 (step @p381 :rule nary_cong :premises (@p380 @p368 @p361) :args (@t502)) % 170.49/170.73 (step @p382 :rule cong :premises (@p381) :args ((forall @t28 @t502))) % 170.49/170.73 (step @p383 :rule trans :premises (@p382 @p350)) % 170.49/170.73 (step @p384 :rule aci_norm :args ((= (or (or @t501 @t499) @t25) @t502))) % 170.49/170.73 (step @p385 :rule refl :args (@t25)) % 170.49/170.73 (step @p386 :rule bool-double-not-elim :args (@t499)) % 170.49/170.73 (step @p387 :rule refl :args (@t501)) % 170.49/170.73 (step @p388 :rule nary_cong :premises (@p387 @p386) :args ((or @t501 (not @t503)))) % 170.49/170.73 (step @p389 :rule bool-and-de-morgan :args (@t500 @t503 true)) % 170.49/170.73 (step @p390 :rule trans :premises (@p389 @p388)) % 170.49/170.73 (step @p391 :rule nary_cong :premises (@p390 @p385) :args ((or (not @t504) @t25))) % 170.49/170.73 (step @p392 :rule trans :premises (@p391 @p384)) % 170.49/170.73 (step @p393 :rule bool-impl-elim :args (@t504 @t25)) % 170.49/170.73 (step @p394 :rule trans :premises (@p393 @p392)) % 170.49/170.73 (step @p395 :rule cong :premises (@p394) :args ((forall @t28 (=> @t504 @t25)))) % 170.49/170.73 (step @p396 :rule trans :premises (@p395 @p383)) % 170.49/170.73 (step @p397 :rule refl :args (@t25)) % 170.49/170.73 (step @p398 :rule eq-symm :args (@t17 @t15)) % 170.49/170.73 (step @p399 :rule cong :premises (@p398) :args (@t505)) % 170.49/170.73 (step @p400 :rule refl :args (@t500)) % 170.49/170.73 (step @p401 :rule nary_cong :premises (@p400 @p399) :args (@t506)) % 170.49/170.73 (step @p402 :rule beta-reduce :args ((= (_ @t507 @t15) @t506))) % 170.49/170.73 (step @p403 :rule trans :premises (@p402 @p401)) % 170.49/170.73 (step @p404 :rule refl :args (@t15)) % 170.49/170.73 (step @p405 :rule beta-reduce :args ((= @t508 @t507))) % 170.49/170.73 (step @p406 :rule ho_cong :premises (@p405 @p404)) % 170.49/170.73 (step @p407 :rule trans :premises (@p406 @p403)) % 170.49/170.73 (step @p408 :rule cong :premises (@p407 @p397) :args (@t509)) % 170.49/170.73 (step @p409 :rule cong :premises (@p408) :args ((forall @t28 @t509))) % 170.49/170.73 (step @p410 :rule trans :premises (@p409 @p396)) % 170.49/170.73 (step @p411 :rule refl :args (@t17)) % 170.49/170.73 (step @p412 :rule ho_cong :premises (@p241 @p411)) % 170.49/170.73 (step @p413 :rule ho_cong :premises (@p412 @p404)) % 170.49/170.73 (step @p414 :rule cong :premises (@p413 @p397) :args (@t27)) % 170.49/170.73 (step @p415 :rule cong :premises (@p414) :args (@t29)) % 170.49/170.73 (step @p416 :rule trans :premises (@p415 @p410)) % 170.49/170.73 (step @p417 :rule trans :premises (@p416 @p345 @p344)) % 170.49/170.73 (step @p418 :rule eq_resolve :premises (@p4 @p417)) % 170.49/170.73 (step @p419 :rule refl :args (@t512)) % 170.49/170.73 (step @p420 :rule nary_cong :premises (@p324 @p323 @p419) :args (@t513)) % 170.49/170.73 (step @p421 :rule refl :args (@t514)) % 170.49/170.73 (step @p422 :rule cong :premises (@p421 @p420) :args ((=> @t514 @t513))) % 170.49/170.73 (assume-push @p634 @t514) % 170.49/170.73 (step @p424 :rule instantiate :premises (@p418) :args ((@list @t464 tptp.xs @t510))) % 170.49/170.73 (step-pop @p635 :rule scope :premises (@p424)) % 170.49/170.73 (step @p425 :rule process_scope :premises (@p635) :args (@t513)) % 170.49/170.73 (step @p427 :rule eq_resolve :premises (@p425 @p422)) % 170.49/170.73 (step @p428 :rule implies_elim :premises (@p427)) % 170.49/170.73 (step @p429 :rule chain_m_resolution :premises (@p428 @p418) :args (@t515 @t516 @t517)) % 170.49/170.73 (step @p430 :rule cnf_or_neg :args (@t472 1)) % 170.49/170.73 (step @p431 :rule chain_m_resolution :premises (@p430 @p336) :args (@t518 @t478 @t479)) % 170.49/170.73 (step @p432 :rule bool-double-not-elim :args (@t470)) % 170.49/170.73 (step @p433 :rule refl :args (@t472)) % 170.49/170.73 (step @p434 :rule nary_cong :premises (@p433 @p432) :args ((or @t472 (not @t471)))) % 170.49/170.73 (step @p435 :rule cnf_or_neg :args (@t472 0)) % 170.49/170.73 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 170.49/170.73 (step @p437 :rule reordering :premises (@p436) :args ((or @t470 @t472))) % 170.49/170.73 (step @p438 :rule chain_m_resolution :premises (@p437 @p336) :args (@t470 @t478 @t479)) % 170.49/170.73 (step @p439 :rule cnf_or_pos :args (@t515)) % 170.49/170.73 (step @p440 :rule reordering :premises (@p439) :args ((or @t471 @t468 @t512 (not @t515)))) % 170.49/170.73 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p431 @p429) :args (@t512 (@list false true false) (@list @t470 @t468 @t515))) % 170.49/170.73 (step @p442 :rule symm :premises (@p441)) % 170.49/170.73 (step @p443 :rule eq-symm :args (@t519 @t522)) % 170.49/170.73 (step @p444 :rule cong :premises (@p443) :args (@t523)) % 170.49/170.73 ; trust TRUST PREPROCESS_HO_ELIM % 170.49/170.73 (step @p445 :rule trust :premises () :args ((= (forall @t265 (= @t525 @t524)) @t523))) % 170.49/170.73 (step @p446 :rule refl :args (@t524)) % 170.49/170.73 (step @p447 :rule refl :args (@t405)) % 170.49/170.73 (step @p448 :rule cong :premises (@p447 @p446) :args ((= @t405 @t524))) % 170.49/170.73 (step @p449 :rule symm :premises (@p448)) % 170.49/170.73 (step @p450 :rule eq_resolve :premises (@p447 @p449)) % 170.49/170.73 (step @p451 :rule refl :args (@t525)) % 170.49/170.73 (step @p452 :rule refl :args (@t406)) % 170.49/170.73 (step @p453 :rule cong :premises (@p452 @p451) :args ((= @t406 @t525))) % 170.49/170.73 (step @p454 :rule symm :premises (@p453)) % 170.49/170.73 (step @p455 :rule eq_resolve :premises (@p452 @p454)) % 170.49/170.73 (step @p456 :rule cong :premises (@p455 @p450) :args (@t407)) % 170.49/170.73 (step @p457 :rule cong :premises (@p456) :args (@t408)) % 170.49/170.73 (step @p458 :rule trans :premises (@p457 @p445 @p444)) % 170.49/170.73 (step @p459 :rule eq_resolve :premises (@p236 @p458)) % 170.49/170.73 (step @p460 :rule instantiate :premises (@p459) :args ((@list @t464))) % 170.49/170.73 (step @p461 :rule trans :premises (@p460 @p442)) % 170.49/170.73 (step @p462 :rule refl :args (@t466)) % 170.49/170.73 (step @p463 :rule cong :premises (@p462 @p461) :args (@t526)) % 170.49/170.73 (step @p464 :rule trans :premises (@p463 @p339)) % 170.49/170.73 (step @p465 :rule false_elim :premises (@p464)) % 170.49/170.73 (step @p466 :rule refl :args (@t526)) % 170.49/170.73 (step @p467 :rule eq-symm :args (@t464 @t527)) % 170.49/170.73 (step @p468 :rule refl :args (@t529)) % 170.49/170.73 (step @p469 :rule nary_cong :premises (@p468 @p467 @p466) :args (@t531)) % 170.49/170.73 (step @p470 :rule cong :premises (@p421 @p469) :args ((=> @t514 @t531))) % 170.49/170.73 (assume-push @p636 @t514) % 170.49/170.73 (step @p472 :rule instantiate :premises (@p418) :args ((@list @t464 tptp.ys @t520))) % 170.49/170.73 (step-pop @p637 :rule scope :premises (@p472)) % 170.49/170.73 (step @p473 :rule process_scope :premises (@p637) :args (@t531)) % 170.49/170.73 (step @p475 :rule eq_resolve :premises (@p473 @p470)) % 170.49/170.73 (step @p476 :rule implies_elim :premises (@p475)) % 170.49/170.73 (step @p477 :rule chain_m_resolution :premises (@p476 @p418) :args (@t533 @t516 @t517)) % 170.49/170.73 ; trust TRUST PREPROCESS_HO_ELIM % 170.49/170.73 (step @p478 :rule trust :premises () :args ((= (forall @t130 (or (not @t540) (not @t539) @t536 (and @t538 @t534))) @t537))) % 170.49/170.73 (step @p479 :rule refl :args (@t534)) % 170.49/170.73 (step @p480 :rule refl :args (@t538)) % 170.49/170.73 (step @p481 :rule refl :args (@t125)) % 170.49/170.73 (step @p482 :rule cong :premises (@p481 @p480) :args ((= @t125 @t538))) % 170.49/170.73 (step @p483 :rule symm :premises (@p482)) % 170.49/170.73 (step @p484 :rule eq_resolve :premises (@p481 @p483)) % 170.49/170.73 (step @p485 :rule nary_cong :premises (@p484 @p479) :args (@t541)) % 170.49/170.73 (step @p486 :rule refl :args (@t536)) % 170.49/170.73 (step @p487 :rule refl :args (@t539)) % 170.49/170.73 (step @p488 :rule refl :args (@t128)) % 170.49/170.73 (step @p489 :rule cong :premises (@p488 @p487) :args ((= @t128 @t539))) % 170.49/170.73 (step @p490 :rule symm :premises (@p489)) % 170.49/170.73 (step @p491 :rule eq_resolve :premises (@p488 @p490)) % 170.49/170.73 (step @p492 :rule cong :premises (@p491) :args (@t146)) % 170.49/170.73 (step @p493 :rule refl :args (@t540)) % 170.49/170.73 (step @p494 :rule refl :args (@t129)) % 170.49/170.73 (step @p495 :rule cong :premises (@p494 @p493) :args ((= @t129 @t540))) % 170.49/170.73 (step @p496 :rule symm :premises (@p495)) % 170.49/170.73 (step @p497 :rule eq_resolve :premises (@p494 @p496)) % 170.49/170.73 (step @p498 :rule cong :premises (@p497) :args (@t141)) % 170.49/170.73 (step @p499 :rule nary_cong :premises (@p498 @p492 @p486 @p485) :args (@t542)) % 170.49/170.73 (step @p500 :rule cong :premises (@p499) :args ((forall @t130 @t542))) % 170.49/170.73 (step @p501 :rule aci_norm :args ((= (or @t141 @t543) @t542))) % 170.49/170.73 (step @p502 :rule aci_norm :args ((= (or (or @t146 @t536) @t541) @t543))) % 170.49/170.73 (step @p503 :rule refl :args (@t541)) % 170.49/170.73 (step @p504 :rule bool-double-not-elim :args (@t536)) % 170.49/170.73 (step @p505 :rule refl :args (@t146)) % 170.49/170.73 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or @t146 (not @t544)))) % 170.49/170.73 (step @p507 :rule bool-and-de-morgan :args (@t128 @t544 true)) % 170.49/170.73 (step @p508 :rule trans :premises (@p507 @p506)) % 170.49/170.73 (step @p509 :rule nary_cong :premises (@p508 @p503) :args ((or (not @t545) @t541))) % 170.49/170.73 (step @p510 :rule trans :premises (@p509 @p502)) % 170.49/170.73 (step @p511 :rule bool-impl-elim :args (@t545 @t541)) % 170.49/170.73 (step @p512 :rule trans :premises (@p511 @p510)) % 170.49/170.73 (step @p513 :rule refl :args (@t141)) % 170.49/170.73 (step @p514 :rule nary_cong :premises (@p513 @p512) :args ((or @t141 @t546))) % 170.49/170.73 (step @p515 :rule trans :premises (@p514 @p501)) % 170.49/170.73 (step @p516 :rule bool-impl-elim :args (@t129 @t546)) % 170.49/170.73 (step @p517 :rule trans :premises (@p516 @p515)) % 170.49/170.73 (step @p518 :rule cong :premises (@p517) :args ((forall @t130 (=> @t129 @t546)))) % 170.49/170.73 (step @p519 :rule trans :premises (@p518 @p500)) % 170.49/170.73 (step @p520 :rule beta-reduce :args ((= (_ @t547 @t124) @t541))) % 170.49/170.73 (step @p521 :rule refl :args (@t124)) % 170.49/170.73 (step @p522 :rule beta-reduce :args ((= @t548 @t547))) % 170.49/170.73 (step @p523 :rule ho_cong :premises (@p522 @p521)) % 170.49/170.73 (step @p524 :rule trans :premises (@p523 @p520)) % 170.49/170.73 (step @p525 :rule eq-symm :args (@t124 @t126)) % 170.49/170.73 (step @p526 :rule cong :premises (@p525) :args (@t549)) % 170.49/170.73 (step @p527 :rule refl :args (@t128)) % 170.49/170.73 (step @p528 :rule nary_cong :premises (@p527 @p526) :args (@t550)) % 170.49/170.73 (step @p529 :rule beta-reduce :args ((= (_ (lambda @t185 (and @t551 (not (= @t81 @t126)))) @t124) @t550))) % 170.49/170.73 (step @p530 :rule trans :premises (@p529 @p528)) % 170.49/170.73 (step @p531 :rule eq-symm :args (@t126 @t81)) % 170.49/170.73 (step @p532 :rule cong :premises (@p531) :args (@t552)) % 170.49/170.73 (step @p533 :rule refl :args (@t551)) % 170.49/170.73 (step @p534 :rule nary_cong :premises (@p533 @p532) :args (@t553)) % 170.49/170.73 (step @p535 :rule cong :premises (@p534) :args (@t554)) % 170.49/170.73 (step @p536 :rule beta-reduce :args ((= @t555 @t554))) % 170.49/170.73 (step @p537 :rule trans :premises (@p536 @p535)) % 170.49/170.73 (step @p538 :rule ho_cong :premises (@p537 @p521)) % 170.49/170.73 (step @p539 :rule trans :premises (@p538 @p530)) % 170.49/170.73 (step @p540 :rule cong :premises (@p539 @p524) :args (@t556)) % 170.49/170.73 (step @p541 :rule refl :args (@t129)) % 170.49/170.73 (step @p542 :rule cong :premises (@p541 @p540) :args (@t557)) % 170.49/170.73 (step @p543 :rule cong :premises (@p542) :args ((forall @t130 @t557))) % 170.49/170.73 (step @p544 :rule trans :premises (@p543 @p519)) % 170.49/170.73 (step @p545 :rule refl :args (@t62)) % 170.49/170.73 (step @p546 :rule ho_cong :premises (@p241 @p545)) % 170.49/170.73 (step @p547 :rule ho_cong :premises (@p546 @p521)) % 170.49/170.73 (step @p548 :rule refl :args (@t126)) % 170.49/170.73 (step @p549 :rule ho_cong :premises (@p241 @p548)) % 170.49/170.73 (step @p550 :rule ho_cong :premises (@p549 @p521)) % 170.49/170.73 (step @p551 :rule cong :premises (@p550 @p547) :args (@t202)) % 170.49/170.73 (step @p552 :rule cong :premises (@p541 @p551) :args (@t245)) % 170.49/170.73 (step @p553 :rule cong :premises (@p552) :args (@t246)) % 170.49/170.73 (step @p554 :rule trans :premises (@p553 @p544)) % 170.49/170.73 (step @p555 :rule trans :premises (@p554 @p478)) % 170.49/170.73 (step @p556 :rule eq_resolve :premises (@p105 @p555)) % 170.49/170.73 (step @p557 :rule cong :premises (@p467) :args (@t558)) % 170.49/170.73 (step @p558 :rule refl :args (@t528)) % 170.49/170.73 (step @p559 :rule nary_cong :premises (@p558 @p557) :args (@t559)) % 170.49/170.73 (step @p560 :rule eq-symm :args (@t437 @t527)) % 170.49/170.73 (step @p561 :rule refl :args (@t561)) % 170.49/170.73 (step @p562 :rule nary_cong :premises (@p324 @p561 @p560 @p559) :args (@t562)) % 170.49/170.73 (step @p563 :rule refl :args (@t537)) % 170.49/170.73 (step @p564 :rule cong :premises (@p563 @p562) :args ((=> @t537 @t562))) % 170.49/170.73 (assume-push @p638 @t537) % 170.49/170.73 (step @p566 :rule instantiate :premises (@p556) :args ((@list @t464 @t437 @t527))) % 170.49/170.73 (step-pop @p639 :rule scope :premises (@p566)) % 170.49/170.73 (step @p567 :rule process_scope :premises (@p639) :args (@t562)) % 170.49/170.73 (step @p569 :rule eq_resolve :premises (@p567 @p564)) % 170.49/170.73 (step @p570 :rule implies_elim :premises (@p569)) % 170.49/170.73 (step @p571 :rule chain_m_resolution :premises (@p570 @p556) :args (@t566 @t516 (@list @t537))) % 170.49/170.73 (assume-push @p640 @t470) % 170.49/170.73 (assume-push @p641 @t565) % 170.49/170.73 (assume-push @p642 @t470) % 170.49/170.73 (assume-push @p643 @t565) % 170.49/170.73 (step @p576 :rule true_intro :premises (@p438)) % 170.49/170.73 (step @p577 :rule refl :args (@t469)) % 170.49/170.73 (step @p578 :rule cong :premises (@p577 @p641) :args (@t528)) % 170.49/170.73 (step @p579 :rule trans :premises (@p578 @p576)) % 170.49/170.73 (step @p580 :rule true_elim :premises (@p579)) % 170.49/170.73 (step-pop @p644 :rule scope :premises (@p580)) % 170.49/170.73 (step-pop @p645 :rule scope :premises (@p644)) % 170.49/170.73 (step @p581 :rule process_scope :premises (@p645) :args (@t528)) % 170.49/170.73 (step @p584 :rule and_intro :premises (@p438 @p641)) % 170.49/170.73 (step @p585 :rule modus_ponens :premises (@p584 @p581)) % 170.49/170.73 (step-pop @p646 :rule scope :premises (@p585)) % 170.49/170.73 (step-pop @p647 :rule scope :premises (@p646)) % 170.49/170.73 (step @p586 :rule process_scope :premises (@p647) :args (@t528)) % 170.49/170.73 (step @p589 :rule implies_elim :premises (@p586)) % 170.49/170.73 (step @p590 :rule cnf_and_neg :args (@t567)) % 170.49/170.73 (step @p591 :rule resolution :premises (@p590 @p589) :args (true @t567)) % 170.49/170.73 (step @p592 :rule refl :args (@t563)) % 170.49/170.73 (step @p593 :rule refl :args (@t568)) % 170.49/170.73 (step @p594 :rule bool-double-not-elim :args (@t468)) % 170.49/170.73 (step @p595 :rule nary_cong :premises (@p594 @p593 @p592) :args ((or (not @t518) @t568 @t563))) % 170.49/170.73 (assume-push @p648 @t518) % 170.49/170.73 (assume-push @p649 @t565) % 170.49/170.73 (assume-push @p650 @t565) % 170.49/170.73 (assume-push @p651 @t518) % 170.49/170.73 (step @p600 :rule false_intro :premises (@p431)) % 170.49/170.73 (step @p601 :rule refl :args (@t464)) % 170.49/170.73 (step @p602 :rule cong :premises (@p649 @p601) :args (@t532)) % 170.49/170.73 (step @p603 :rule trans :premises (@p602 @p600)) % 170.49/170.73 (step @p604 :rule false_elim :premises (@p603)) % 170.49/170.73 (step-pop @p652 :rule scope :premises (@p604)) % 170.49/170.73 (step-pop @p653 :rule scope :premises (@p652)) % 170.49/170.73 (step @p605 :rule process_scope :premises (@p653) :args (@t563)) % 170.49/170.73 (step @p608 :rule and_intro :premises (@p649 @p431)) % 170.49/170.73 (step @p609 :rule modus_ponens :premises (@p608 @p605)) % 170.49/170.73 (step-pop @p654 :rule scope :premises (@p609)) % 170.49/170.73 (step-pop @p655 :rule scope :premises (@p654)) % 170.49/170.73 (step @p610 :rule process_scope :premises (@p655) :args (@t563)) % 170.49/170.74 (step @p613 :rule implies_elim :premises (@p610)) % 170.49/170.74 (step @p614 :rule cnf_and_neg :args (@t569)) % 170.49/170.74 (step @p615 :rule resolution :premises (@p614 @p613) :args (true @t569)) % 170.49/170.74 (step @p616 :rule eq_resolve :premises (@p615 @p595)) % 170.49/170.74 (step @p617 :rule cnf_or_pos :args (@t533)) % 170.49/170.74 (step @p618 :rule reordering :premises (@p617) :args ((or @t532 @t529 @t526 (not @t533)))) % 170.49/170.74 (step @p619 :rule chain_m_resolution :premises (@p618 @p477 @p465 @p616 @p431 @p591 @p438) :args (@t568 (@list false true true true false false) (@list @t533 @t526 @t532 @t468 @t528 @t470))) % 170.49/170.74 ; trust TRUST PREPROCESS_HO_ELIM % 170.49/170.74 (step @p620 :rule trust :premises () :args ((= @t410 @t560))) % 170.49/170.74 (step @p621 :rule eq_resolve :premises (@p237 @p620)) % 170.49/170.74 (step @p622 :rule cnf_or_pos :args (@t566)) % 170.49/170.74 (step @p623 :rule reordering :premises (@p622) :args ((or @t561 @t471 @t565 @t564 (not @t566)))) % 170.49/170.74 (step @p624 :rule chain_m_resolution :premises (@p623 @p621 @p438 @p619 @p571) :args (@t564 (@list false false true false) (@list @t560 @t470 @t565 @t566))) % 170.49/170.74 (step @p625 :rule cnf_and_pos :args (@t564 0)) % 170.49/170.74 (step @p626 :rule reordering :premises (@p625) :args ((or @t528 @t570))) % 170.49/170.74 (step @p627 :rule chain_m_resolution :premises (@p626 @p624) :args (@t528 @t516 @t571)) % 170.49/170.74 (step @p628 :rule cnf_and_pos :args (@t564 1)) % 170.49/170.74 (step @p629 :rule reordering :premises (@p628) :args ((or @t563 @t570))) % 170.49/170.74 (step @p630 :rule chain_m_resolution :premises (@p629 @p624) :args (@t563 @t516 @t571)) % 170.49/170.74 (step @p631 false :rule chain_m_resolution :premises (@p618 @p630 @p627 @p477 @p465) :args (false (@list true false false true) (@list @t532 @t528 @t533 @t526))) % 170.49/170.74 ) % 170.49/170.74 % SZS output end Proof % 170.49/170.74 % cvc5 exiting %------------------------------------------------------------------------------