%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP103^1 : 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 : n029.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 08:25:04 AM UTC 2026 % Result : Theorem 11.74s 11.99s % Output : Proof 11.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP103^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:14:32 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.56 %----Proving TH0 % 11.74/11.99 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 11.74/11.99 % SZS status Theorem % 11.74/11.99 % SZS output start Proof % 11.74/11.99 ( % 11.74/11.99 (declare-sort tptp.list_a 0) % 11.74/11.99 (declare-sort tptp.list_P1467822637od_a_a 0) % 11.74/11.99 (declare-sort tptp.list_P1891567085od_a_a 0) % 11.74/11.99 (declare-sort tptp.list_P319927492_a_a_a 0) % 11.74/11.99 (declare-sort tptp.nat 0) % 11.74/11.99 (declare-sort tptp.list_P1458844246od_a_a 0) % 11.74/11.99 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 11.74/11.99 (declare-const tptp.xs tptp.list_a) % 11.74/11.99 (declare-const tptp.k tptp.nat) % 11.74/11.99 (declare-const tptp.n tptp.nat) % 11.74/11.99 (declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat)) % 11.74/11.99 (declare-const tptp.size_s1052379225od_a_a (-> tptp.list_P1891567085od_a_a tptp.nat)) % 11.74/11.99 (declare-const tptp.divide_divide_nat (-> tptp.nat tptp.nat tptp.nat)) % 11.74/11.99 (declare-const tptp.zero_zero_nat tptp.nat) % 11.74/11.99 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 11.74/11.99 (declare-const tptp.size_s642698393od_a_a (-> tptp.list_P1467822637od_a_a tptp.nat)) % 11.74/11.99 (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat)) % 11.74/11.99 (declare-const tptp.produc16441326od_a_a (-> tptp.list_a tptp.list_P1467822637od_a_a tptp.list_P1458844246od_a_a)) % 11.74/11.99 (declare-const tptp.size_s1875148994od_a_a (-> tptp.list_P1458844246od_a_a tptp.nat)) % 11.74/11.99 (declare-const tptp.produc778776796_a_a_a (-> tptp.list_P1467822637od_a_a tptp.list_a tptp.list_P319927492_a_a_a)) % 11.74/11.99 (declare-const tptp.size_s736232240_a_a_a (-> tptp.list_P319927492_a_a_a tptp.nat)) % 11.74/11.99 (declare-const tptp.produc1055075589od_a_a (-> tptp.list_P1467822637od_a_a tptp.list_P1467822637od_a_a tptp.list_P1891567085od_a_a)) % 11.74/11.99 (declare-const tptp.product_a_a (-> tptp.list_a tptp.list_a tptp.list_P1467822637od_a_a)) % 11.74/11.99 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "X4" tptp.nat))) (let ((_let_2 (@var "N4" tptp.nat))) (let ((_let_3 (@var "A2" tptp.nat))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_3) (not (= _let_2 _let_1))))))))) % 11.74/11.99 (define @t1 () (@var "M" tptp.nat)) % 11.74/11.99 (define @t2 () (@var "N" tptp.nat)) % 11.74/11.99 (define @t3 () (_ tptp.times_times_nat @t1)) % 11.74/11.99 (define @t4 () (_ @t3 @t2)) % 11.74/11.99 (define @t5 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 11.74/11.99 (define @t6 () (_ @t5 @t2)) % 11.74/11.99 (define @t7 () (@list @t2 @t1)) % 11.74/11.99 (define @t8 () (_ tptp.times_times_nat @t2)) % 11.74/11.99 (define @t9 () (_ @t8 @t1)) % 11.74/11.99 (define @t10 () (_ tptp.divide_divide_nat @t1)) % 11.74/11.99 (define @t11 () (_ @t10 @t2)) % 11.74/11.99 (define @t12 () (@var "K" tptp.nat)) % 11.74/11.99 (define @t13 () (_ tptp.times_times_nat @t12)) % 11.74/11.99 (define @t14 () (_ @t13 @t2)) % 11.74/11.99 (define @t15 () (_ @t13 @t1)) % 11.74/11.99 (define @t16 () (_ (_ tptp.divide_divide_nat @t15) @t14)) % 11.74/11.99 (define @t17 () (= @t16 @t11)) % 11.74/11.99 (define @t18 () (= @t12 tptp.zero_zero_nat)) % 11.74/11.99 (define @t19 () (@list @t12 @t1 @t2)) % 11.74/11.99 (define @t20 () (= @t11 tptp.zero_zero_nat)) % 11.74/11.99 (define @t21 () (_ tptp.ord_less_nat @t1)) % 11.74/11.99 (define @t22 () (_ @t21 @t2)) % 11.74/11.99 (define @t23 () (=> @t22 @t20)) % 11.74/11.99 (define @t24 () (@list @t1 @t2)) % 11.74/11.99 (define @t25 () (forall @t24 @t23)) % 11.74/11.99 (define @t26 () (_ tptp.suc tptp.zero_zero_nat)) % 11.74/11.99 (define @t27 () (@list @t1)) % 11.74/11.99 (define @t28 () (_ @t5 @t12)) % 11.74/11.99 (define @t29 () (and @t28 @t22)) % 11.74/11.99 (define @t30 () (_ @t8 @t12)) % 11.74/11.99 (define @t31 () (_ @t3 @t12)) % 11.74/11.99 (define @t32 () (@list @t1 @t12 @t2)) % 11.74/11.99 (define @t33 () (_ @t5 @t1)) % 11.74/11.99 (define @t34 () (and @t33 @t6)) % 11.74/11.99 (define @t35 () (_ @t5 @t4)) % 11.74/11.99 (define @t36 () (= @t35 @t34)) % 11.74/11.99 (define @t37 () (forall @t24 @t36)) % 11.74/11.99 (define @t38 () (_ (_ tptp.ord_less_nat @t15) @t14)) % 11.74/11.99 (define @t39 () (= @t2 @t26)) % 11.74/11.99 (define @t40 () (and (= @t1 @t26) @t39)) % 11.74/11.99 (define @t41 () (= @t2 tptp.zero_zero_nat)) % 11.74/11.99 (define @t42 () (_ tptp.ord_less_nat @t2)) % 11.74/11.99 (define @t43 () (_ @t42 @t26)) % 11.74/11.99 (define @t44 () (= @t43 @t41)) % 11.74/11.99 (define @t45 () (@list @t2)) % 11.74/11.99 (define @t46 () (forall @t45 @t44)) % 11.74/11.99 (define @t47 () (_ tptp.suc @t2)) % 11.74/11.99 (define @t48 () (@var "Nat2" tptp.nat)) % 11.74/11.99 (define @t49 () (@var "Nat" tptp.nat)) % 11.74/11.99 (define @t50 () (_ tptp.suc @t48)) % 11.74/11.99 (define @t51 () (@var "Y2" tptp.nat)) % 11.74/11.99 (define @t52 () (@var "X2" tptp.nat)) % 11.74/11.99 (define @t53 () (_ tptp.suc @t52)) % 11.74/11.99 (define @t54 () (@var "A" tptp.nat)) % 11.74/11.99 (define @t55 () (_ @t5 @t54)) % 11.74/11.99 (define @t56 () (= @t54 tptp.zero_zero_nat)) % 11.74/11.99 (define @t57 () (not @t56)) % 11.74/11.99 (define @t58 () (= @t57 @t55)) % 11.74/11.99 (define @t59 () (@list @t54)) % 11.74/11.99 (define @t60 () (forall @t59 @t58)) % 11.74/11.99 (define @t61 () (not @t41)) % 11.74/11.99 (define @t62 () (_ tptp.suc @t1)) % 11.74/11.99 (define @t63 () (_ tptp.ord_less_nat @t62)) % 11.74/11.99 (define @t64 () (_ @t63 @t47)) % 11.74/11.99 (define @t65 () (= @t1 @t2)) % 11.74/11.99 (define @t66 () (or @t65 @t18)) % 11.74/11.99 (define @t67 () (= @t31 @t30)) % 11.74/11.99 (define @t68 () (= @t15 @t14)) % 11.74/11.99 (define @t69 () (= @t1 tptp.zero_zero_nat)) % 11.74/11.99 (define @t70 () (@var "B" tptp.nat)) % 11.74/11.99 (define @t71 () (_ tptp.divide_divide_nat @t54)) % 11.74/11.99 (define @t72 () (_ @t71 @t70)) % 11.74/11.99 (define @t73 () (@var "C" tptp.nat)) % 11.74/11.99 (define @t74 () (_ tptp.times_times_nat @t73)) % 11.74/11.99 (define @t75 () (_ @t74 @t70)) % 11.74/11.99 (define @t76 () (_ @t74 @t54)) % 11.74/11.99 (define @t77 () (_ (_ tptp.divide_divide_nat @t76) @t75)) % 11.74/11.99 (define @t78 () (= @t73 tptp.zero_zero_nat)) % 11.74/11.99 (define @t79 () (not @t78)) % 11.74/11.99 (define @t80 () (=> @t79 (= @t77 @t72))) % 11.74/11.99 (define @t81 () (@list @t73 @t54 @t70)) % 11.74/11.99 (define @t82 () (_ tptp.times_times_nat @t70)) % 11.74/11.99 (define @t83 () (_ @t82 @t73)) % 11.74/11.99 (define @t84 () (_ tptp.times_times_nat @t54)) % 11.74/11.99 (define @t85 () (_ @t84 @t73)) % 11.74/11.99 (define @t86 () (= @t2 @t47)) % 11.74/11.99 (define @t87 () (not @t86)) % 11.74/11.99 (define @t88 () (forall @t45 @t87)) % 11.74/11.99 (define @t89 () (@var "Y" tptp.nat)) % 11.74/11.99 (define @t90 () (@var "X" tptp.nat)) % 11.74/11.99 (define @t91 () (= @t90 @t89)) % 11.74/11.99 (define @t92 () (@list @t90 @t89)) % 11.74/11.99 (define @t93 () (_ (_ tptp.ord_less_nat @t89) @t90)) % 11.74/11.99 (define @t94 () (_ (_ tptp.ord_less_nat @t90) @t89)) % 11.74/11.99 (define @t95 () (not @t94)) % 11.74/11.99 (define @t96 () (=> @t95 @t93)) % 11.74/11.99 (define @t97 () (not @t91)) % 11.74/11.99 (define @t98 () (forall @t92 (=> @t97 @t96))) % 11.74/11.99 (define @t99 () (@var "P" (-> tptp.nat Bool))) % 11.74/11.99 (define @t100 () (_ @t99 @t2)) % 11.74/11.99 (define @t101 () (@var "M2" tptp.nat)) % 11.74/11.99 (define @t102 () (_ @t99 @t101)) % 11.74/11.99 (define @t103 () (@var "N2" tptp.nat)) % 11.74/11.99 (define @t104 () (_ (_ tptp.ord_less_nat @t101) @t103)) % 11.74/11.99 (define @t105 () (@list @t101)) % 11.74/11.99 (define @t106 () (_ @t99 @t103)) % 11.74/11.99 (define @t107 () (not @t106)) % 11.74/11.99 (define @t108 () (=> @t107 (exists @t105 (and @t104 (not @t102))))) % 11.74/11.99 (define @t109 () (@list @t103)) % 11.74/11.99 (define @t110 () (@list @t99 @t2)) % 11.74/11.99 (define @t111 () (@var "T" tptp.nat)) % 11.74/11.99 (define @t112 () (@var "S" tptp.nat)) % 11.74/11.99 (define @t113 () (not @t65)) % 11.74/11.99 (define @t114 () (_ @t42 @t1)) % 11.74/11.99 (define @t115 () (@var "Y" tptp.list_P1467822637od_a_a)) % 11.74/11.99 (define @t116 () (@var "X" tptp.list_P1467822637od_a_a)) % 11.74/11.99 (define @t117 () (@var "Y" tptp.list_a)) % 11.74/11.99 (define @t118 () (@var "X" tptp.list_a)) % 11.74/11.99 (define @t119 () (@var "M3" tptp.nat)) % 11.74/11.99 (define @t120 () (exists (@list @t119) (= @t2 (_ tptp.suc @t119)))) % 11.74/11.99 (define @t121 () (@var "Nat3" tptp.nat)) % 11.74/11.99 (define @t122 () (_ tptp.suc @t121)) % 11.74/11.99 (define @t123 () (@list @t121)) % 11.74/11.99 (define @t124 () (_ @t99 tptp.zero_zero_nat)) % 11.74/11.99 (define @t125 () (= tptp.zero_zero_nat @t62)) % 11.74/11.99 (define @t126 () (not @t125)) % 11.74/11.99 (define @t127 () (forall @t27 @t126)) % 11.74/11.99 (define @t128 () (_ tptp.suc @t103)) % 11.74/11.99 (define @t129 () (_ @t99 @t128)) % 11.74/11.99 (define @t130 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 11.74/11.99 (define @t131 () (@var "Y3" tptp.nat)) % 11.74/11.99 (define @t132 () (_ tptp.suc @t131)) % 11.74/11.99 (define @t133 () (@var "X3" tptp.nat)) % 11.74/11.99 (define @t134 () (_ @t130 @t133)) % 11.74/11.99 (define @t135 () (@list @t48)) % 11.74/11.99 (define @t136 () (_ tptp.ord_less_nat @t54)) % 11.74/11.99 (define @t137 () (_ @t136 tptp.zero_zero_nat)) % 11.74/11.99 (define @t138 () (_ @t42 @t62)) % 11.74/11.99 (define @t139 () (not @t114)) % 11.74/11.99 (define @t140 () (@var "I" tptp.nat)) % 11.74/11.99 (define @t141 () (@var "I2" tptp.nat)) % 11.74/11.99 (define @t142 () (_ @t99 @t141)) % 11.74/11.99 (define @t143 () (_ tptp.suc @t141)) % 11.74/11.99 (define @t144 () (@var "J" tptp.nat)) % 11.74/11.99 (define @t145 () (_ tptp.ord_less_nat @t141)) % 11.74/11.99 (define @t146 () (@list @t141)) % 11.74/11.99 (define @t147 () (_ tptp.ord_less_nat @t140)) % 11.74/11.99 (define @t148 () (_ @t147 @t144)) % 11.74/11.99 (define @t149 () (@var "K2" tptp.nat)) % 11.74/11.99 (define @t150 () (_ @t130 @t141)) % 11.74/11.99 (define @t151 () (@var "J2" tptp.nat)) % 11.74/11.99 (define @t152 () (_ tptp.suc @t140)) % 11.74/11.99 (define @t153 () (_ (_ tptp.ord_less_nat @t152) @t12)) % 11.74/11.99 (define @t154 () (_ (_ tptp.ord_less_nat @t144) @t12)) % 11.74/11.99 (define @t155 () (=> @t154 @t153)) % 11.74/11.99 (define @t156 () (@list @t140 @t144 @t12)) % 11.74/11.99 (define @t157 () (forall @t156 (=> @t148 @t155))) % 11.74/11.99 (define @t158 () (@var "M4" tptp.nat)) % 11.74/11.99 (define @t159 () (@var "I3" tptp.nat)) % 11.74/11.99 (define @t160 () (_ @t99 @t159)) % 11.74/11.99 (define @t161 () (_ tptp.ord_less_nat @t159)) % 11.74/11.99 (define @t162 () (_ @t161 @t2)) % 11.74/11.99 (define @t163 () (@list @t159)) % 11.74/11.99 (define @t164 () (_ @t161 @t47)) % 11.74/11.99 (define @t165 () (forall @t163 (=> @t164 @t160))) % 11.74/11.99 (define @t166 () (@list @t2 @t99)) % 11.74/11.99 (define @t167 () (not @t22)) % 11.74/11.99 (define @t168 () (forall @t24 (= @t167 @t138))) % 11.74/11.99 (define @t169 () (_ @t21 @t47)) % 11.74/11.99 (define @t170 () (exists @t163 (and @t164 @t160))) % 11.74/11.99 (define @t171 () (_ @t63 @t2)) % 11.74/11.99 (define @t172 () (not (forall (@list @t151) (=> (_ @t147 @t151) (not (= @t12 (_ tptp.suc @t151))))))) % 11.74/11.99 (define @t173 () (@list @t140 @t12)) % 11.74/11.99 (define @t174 () (_ tptp.times_times_nat tptp.zero_zero_nat)) % 11.74/11.99 (define @t175 () (_ tptp.suc @t12)) % 11.74/11.99 (define @t176 () (_ tptp.times_times_nat @t175)) % 11.74/11.99 (define @t177 () (_ @t176 @t2)) % 11.74/11.99 (define @t178 () (_ @t176 @t1)) % 11.74/11.99 (define @t179 () (@var "Q" tptp.nat)) % 11.74/11.99 (define @t180 () (@var "F" (-> tptp.nat tptp.nat))) % 11.74/11.99 (define @t181 () (_ tptp.ord_less_nat (_ @t180 @t2))) % 11.74/11.99 (define @t182 () (forall @t109 (_ (_ tptp.ord_less_nat (_ @t180 @t103)) (_ @t180 @t128)))) % 11.74/11.99 (define @t183 () (@var "N3" tptp.nat)) % 11.74/11.99 (define @t184 () (@var "J3" tptp.nat)) % 11.74/11.99 (define @t185 () (_ (_ tptp.ord_less_nat @t184) @t2)) % 11.74/11.99 (define @t186 () (_ tptp.suc @t184)) % 11.74/11.99 (define @t187 () (= @t1 @t186)) % 11.74/11.99 (define @t188 () (and @t187 @t185)) % 11.74/11.99 (define @t189 () (@list @t184)) % 11.74/11.99 (define @t190 () (exists @t189 @t188)) % 11.74/11.99 (define @t191 () (or @t69 @t190)) % 11.74/11.99 (define @t192 () (= @t169 @t191)) % 11.74/11.99 (define @t193 () (forall @t24 @t192)) % 11.74/11.99 (define @t194 () (_ @t99 (_ tptp.suc @t159))) % 11.74/11.99 (define @t195 () (@var "M5" tptp.nat)) % 11.74/11.99 (define @t196 () (_ tptp.times_times_nat @t140)) % 11.74/11.99 (define @t197 () (_ tptp.ord_less_nat @t26)) % 11.74/11.99 (define @t198 () (_ @t197 @t1)) % 11.74/11.99 (define @t199 () (_ @t197 @t2)) % 11.74/11.99 (define @t200 () (_ @t84 @t70)) % 11.74/11.99 (define @t201 () (_ tptp.divide_divide_nat @t200)) % 11.74/11.99 (define @t202 () (_ @t201 @t70)) % 11.74/11.99 (define @t203 () (= @t70 tptp.zero_zero_nat)) % 11.74/11.99 (define @t204 () (not @t203)) % 11.74/11.99 (define @t205 () (=> @t204 (= @t202 @t54))) % 11.74/11.99 (define @t206 () (@list @t70 @t54)) % 11.74/11.99 (define @t207 () (forall @t206 @t205)) % 11.74/11.99 (define @t208 () (@list @t54 @t70)) % 11.74/11.99 (define @t209 () (_ (_ tptp.divide_divide_nat @t2) @t1)) % 11.74/11.99 (define @t210 () (_ tptp.suc @t209)) % 11.74/11.99 (define @t211 () (_ (_ tptp.times_times_nat @t210) @t1)) % 11.74/11.99 (define @t212 () (_ @t42 @t211)) % 11.74/11.99 (define @t213 () (forall @t24 (=> @t33 @t212))) % 11.74/11.99 (define @t214 () (or @t56 @t203)) % 11.74/11.99 (define @t215 () (= @t200 tptp.zero_zero_nat)) % 11.74/11.99 (define @t216 () (= @t54 @t70)) % 11.74/11.99 (define @t217 () (or @t78 @t216)) % 11.74/11.99 (define @t218 () (= @t76 @t75)) % 11.74/11.99 (define @t219 () (= @t85 @t83)) % 11.74/11.99 (define @t220 () (not @t215)) % 11.74/11.99 (define @t221 () (=> @t215 @t214)) % 11.74/11.99 (define @t222 () (forall @t208 @t221)) % 11.74/11.99 (define @t223 () (_ (_ tptp.ord_less_nat @t200) tptp.zero_zero_nat)) % 11.74/11.99 (define @t224 () (_ @t5 @t70)) % 11.74/11.99 (define @t225 () (_ (_ tptp.ord_less_nat @t70) tptp.zero_zero_nat)) % 11.74/11.99 (define @t226 () (_ @t5 @t200)) % 11.74/11.99 (define @t227 () (_ @t82 @t54)) % 11.74/11.99 (define @t228 () (=> @t55 @t224)) % 11.74/11.99 (define @t229 () (_ @t5 @t73)) % 11.74/11.99 (define @t230 () (_ @t136 @t70)) % 11.74/11.99 (define @t231 () (@list @t54 @t70 @t73)) % 11.74/11.99 (define @t232 () (= @t209 tptp.zero_zero_nat)) % 11.74/11.99 (define @t233 () (_ (_ tptp.ord_less_nat @t209) @t12)) % 11.74/11.99 (define @t234 () (_ @t42 @t15)) % 11.74/11.99 (define @t235 () (@list @t1 @t2 @t12)) % 11.74/11.99 (define @t236 () (= @t90 tptp.zero_zero_nat)) % 11.74/11.99 (define @t237 () (@list @t90)) % 11.74/11.99 (define @t238 () (_ @t84 @t83)) % 11.74/11.99 (define @t239 () (@var "A2" tptp.nat)) % 11.74/11.99 (define @t240 () (@var "B2" tptp.nat)) % 11.74/11.99 (define @t241 () (lambda (@list @t239 @t240) (_ (_ tptp.times_times_nat @t240) @t239))) % 11.74/11.99 (define @t242 () (= tptp.times_times_nat @t241)) % 11.74/11.99 (define @t243 () (or @t41 @t39)) % 11.74/11.99 (define @t244 () (_ tptp.suc @t26)) % 11.74/11.99 (define @t245 () (and @t61 (not @t39))) % 11.74/11.99 (define @t246 () (@var "Xs" tptp.list_P1467822637od_a_a)) % 11.74/11.99 (define @t247 () (@var "P" (-> tptp.list_P1467822637od_a_a Bool))) % 11.74/11.99 (define @t248 () (@var "Xs2" tptp.list_P1467822637od_a_a)) % 11.74/11.99 (define @t249 () (@var "Ys" tptp.list_P1467822637od_a_a)) % 11.74/11.99 (define @t250 () (_ tptp.size_s642698393od_a_a @t248)) % 11.74/11.99 (define @t251 () (@list @t248)) % 11.74/11.99 (define @t252 () (@var "Xs" tptp.list_a)) % 11.74/11.99 (define @t253 () (@var "P" (-> tptp.list_a Bool))) % 11.74/11.99 (define @t254 () (@var "Xs2" tptp.list_a)) % 11.74/11.99 (define @t255 () (@var "Ys" tptp.list_a)) % 11.74/11.99 (define @t256 () (_ tptp.size_size_list_a @t254)) % 11.74/11.99 (define @t257 () (@list @t254)) % 11.74/11.99 (define @t258 () (@var "Ys2" tptp.list_P1467822637od_a_a)) % 11.74/11.99 (define @t259 () (_ tptp.size_s642698393od_a_a @t258)) % 11.74/11.99 (define @t260 () (_ tptp.size_s642698393od_a_a @t246)) % 11.74/11.99 (define @t261 () (@list @t246 @t258)) % 11.74/11.99 (define @t262 () (@var "Ys2" tptp.list_a)) % 11.74/11.99 (define @t263 () (_ tptp.size_size_list_a @t262)) % 11.74/11.99 (define @t264 () (_ tptp.size_size_list_a @t252)) % 11.74/11.99 (define @t265 () (@list @t252 @t262)) % 11.74/11.99 (define @t266 () (@var "X_1" tptp.nat)) % 11.74/11.99 (define @t267 () (_ tptp.times_times_nat @t264)) % 11.74/11.99 (define @t268 () (_ tptp.times_times_nat @t260)) % 11.74/11.99 (define @t269 () (@var "Q2" tptp.nat)) % 11.74/11.99 (define @t270 () (= @t209 @t12)) % 11.74/11.99 (define @t271 () (_ @t42 @t178)) % 11.74/11.99 (define @t272 () (_ tptp.ord_less_eq_nat @t15)) % 11.74/11.99 (define @t273 () (and (_ @t272 @t2) @t271)) % 11.74/11.99 (define @t274 () (= @t273 @t270)) % 11.74/11.99 (define @t275 () (=> @t33 @t274)) % 11.74/11.99 (define @t276 () (forall @t32 @t275)) % 11.74/11.99 (define @t277 () (_ tptp.ord_less_eq_nat @t2)) % 11.74/11.99 (define @t278 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 11.74/11.99 (define @t279 () (_ @t278 @t54)) % 11.74/11.99 (define @t280 () (_ tptp.ord_less_eq_nat @t26)) % 11.74/11.99 (define @t281 () (=> @t28 (_ (_ tptp.ord_less_eq_nat @t1) @t2))) % 11.74/11.99 (define @t282 () (@var "X4" tptp.nat)) % 11.74/11.99 (define @t283 () (@var "N4" tptp.nat)) % 11.74/11.99 (define @t284 () (not (= @t283 @t282))) % 11.74/11.99 (define @t285 () (@list @t282)) % 11.74/11.99 (define @t286 () (@list @t283 @t239)) % 11.74/11.99 (define @t287 () (@list @t239 @t283)) % 11.74/11.99 (define @t288 () (_ @t278 @t73)) % 11.74/11.99 (define @t289 () (_ tptp.ord_less_eq_nat @t54)) % 11.74/11.99 (define @t290 () (_ @t289 @t70)) % 11.74/11.99 (define @t291 () (_ (_ tptp.ord_less_eq_nat @t70) tptp.zero_zero_nat)) % 11.74/11.99 (define @t292 () (_ (_ tptp.ord_less_eq_nat @t200) tptp.zero_zero_nat)) % 11.74/11.99 (define @t293 () (_ @t278 @t70)) % 11.74/11.99 (define @t294 () (_ @t289 tptp.zero_zero_nat)) % 11.74/11.99 (define @t295 () (_ tptp.ord_less_eq_nat @t85)) % 11.74/11.99 (define @t296 () (@var "D" tptp.nat)) % 11.74/11.99 (define @t297 () (=> @t288 (_ @t295 (_ @t82 @t296)))) % 11.74/11.99 (define @t298 () (_ (_ tptp.ord_less_eq_nat @t73) @t296)) % 11.74/11.99 (define @t299 () (@list @t54 @t70 @t73 @t296)) % 11.74/11.99 (define @t300 () (_ tptp.suc tptp.n)) % 11.74/11.99 (define @t301 () (_ tptp.size_size_list_a tptp.xs)) % 11.74/11.99 (define @t302 () (_ tptp.divide_divide_nat @t301)) % 11.74/11.99 (define @t303 () (_ @t302 tptp.k)) % 11.74/11.99 (define @t304 () (= @t303 @t300)) % 11.74/11.99 (define @t305 () (_ (_ tptp.times_times_nat tptp.n) tptp.k)) % 11.74/11.99 (define @t306 () (_ (_ tptp.ord_less_nat @t305) @t301)) % 11.74/11.99 (define @t307 () (not @t306)) % 11.74/11.99 (define @t308 () (_ (_ tptp.ord_less_nat @t282) @t239)) % 11.74/11.99 (define @t309 () (forall @t285 (=> @t308 @t284))) % 11.74/11.99 (define @t310 () (lambda @t287 @t309)) % 11.74/11.99 (define @t311 () (tptp.size_size_list_a tptp.xs)) % 11.74/11.99 (define @t312 () (tptp.divide_divide_nat @t311 tptp.k)) % 11.74/11.99 (define @t313 () (tptp.suc tptp.n)) % 11.74/11.99 (define @t314 () (_ tptp.divide_divide_nat @t311)) % 11.74/11.99 (define @t315 () (_ @t314 tptp.k)) % 11.74/11.99 (define @t316 () (tptp.suc @t12)) % 11.74/11.99 (define @t317 () (tptp.times_times_nat @t316 @t1)) % 11.74/11.99 (define @t318 () (tptp.ord_less_nat @t2 @t317)) % 11.74/11.99 (define @t319 () (tptp.times_times_nat @t12 @t1)) % 11.74/11.99 (define @t320 () (tptp.ord_less_nat @t2 @t15)) % 11.74/11.99 (define @t321 () (not @t320)) % 11.74/11.99 (define @t322 () (and @t321 @t271)) % 11.74/11.99 (define @t323 () (tptp.divide_divide_nat @t2 @t1)) % 11.74/11.99 (define @t324 () (= @t12 @t209)) % 11.74/11.99 (define @t325 () (= @t324 @t322)) % 11.74/11.99 (define @t326 () (tptp.ord_less_nat tptp.zero_zero_nat @t1)) % 11.74/11.99 (define @t327 () (not @t33)) % 11.74/11.99 (define @t328 () (or @t327 @t325)) % 11.74/11.99 (define @t329 () (lambda (@list @t283) (not (tptp.ord_less_nat @t283 @t15)))) % 11.74/11.99 (define @t330 () (not (tptp.ord_less_nat @t283 @t239))) % 11.74/11.99 (define @t331 () (_ (lambda @t287 @t330) @t15)) % 11.74/11.99 (define @t332 () (and (_ @t331 @t2) @t271)) % 11.74/11.99 (define @t333 () (=> @t33 (= @t332 @t270))) % 11.74/11.99 (define @t334 () (not (= @t283 @t283))) % 11.74/11.99 (define @t335 () (or @t330 @t334)) % 11.74/11.99 (define @t336 () (tptp.ord_less_nat @t282 @t239)) % 11.74/11.99 (define @t337 () (not @t336)) % 11.74/11.99 (define @t338 () (or @t284 @t337 @t284)) % 11.74/11.99 (define @t339 () (or @t337 @t284)) % 11.74/11.99 (define @t340 () (not @t308)) % 11.74/11.99 (define @t341 () (or @t340 @t284)) % 11.74/11.99 (define @t342 () (tptp.times_times_nat @t312 tptp.k)) % 11.74/11.99 (define @t343 () (tptp.ord_less_nat @t311 @t342)) % 11.74/11.99 (define @t344 () (not @t343)) % 11.74/11.99 (define @t345 () (and @t344 (tptp.ord_less_nat @t311 (tptp.times_times_nat (tptp.suc @t312) tptp.k)))) % 11.74/11.99 (define @t346 () (= (= @t312 @t312) @t345)) % 11.74/11.99 (define @t347 () (tptp.ord_less_nat tptp.zero_zero_nat tptp.k)) % 11.74/11.99 (define @t348 () (not @t347)) % 11.74/11.99 (define @t349 () (or @t348 @t346)) % 11.74/11.99 (define @t350 () (forall @t32 (or (not @t326) (= (= @t12 @t323) (and (not (tptp.ord_less_nat @t2 @t319)) @t318))))) % 11.74/11.99 (define @t351 () (or @t348 @t345)) % 11.74/11.99 (define @t352 () (@list false)) % 11.74/11.99 (define @t353 () (tptp.ord_less_nat tptp.zero_zero_nat @t2)) % 11.74/11.99 (define @t354 () (tptp.times_times_nat @t1 @t2)) % 11.74/11.99 (define @t355 () (tptp.ord_less_nat tptp.zero_zero_nat @t354)) % 11.74/11.99 (define @t356 () (@list tptp.k tptp.n)) % 11.74/11.99 (define @t357 () (@purify @t241)) % 11.74/11.99 (define @t358 () (tptp.times_times_nat tptp.k tptp.n)) % 11.74/11.99 (define @t359 () (_ (_ tptp.times_times_nat tptp.k) tptp.n)) % 11.74/11.99 (define @t360 () (tptp.times_times_nat tptp.n tptp.k)) % 11.74/11.99 (define @t361 () (= @t360 @t359)) % 11.74/11.99 (define @t362 () (= tptp.times_times_nat @t357)) % 11.74/11.99 (define @t363 () (=> @t362 @t361)) % 11.74/11.99 (define @t364 () (= @t360 @t358)) % 11.74/11.99 (define @t365 () (tptp.ord_less_nat @t89 @t90)) % 11.74/11.99 (define @t366 () (tptp.ord_less_nat @t90 @t89)) % 11.74/11.99 (define @t367 () (or @t91 @t94 @t93)) % 11.74/11.99 (define @t368 () (tptp.ord_less_nat @t311 @t360)) % 11.74/11.99 (define @t369 () (tptp.ord_less_nat @t360 @t311)) % 11.74/11.99 (define @t370 () (or (= @t360 @t311) @t369 @t368)) % 11.74/11.99 (define @t371 () (forall @t92 (or @t91 @t366 @t365))) % 11.74/11.99 (define @t372 () (@list @t360 @t311)) % 11.74/11.99 (define @t373 () (= @t311 @t360)) % 11.74/11.99 (define @t374 () (or @t373 @t369 @t368)) % 11.74/11.99 (define @t375 () (tptp.suc @t2)) % 11.74/11.99 (define @t376 () (@list tptp.n)) % 11.74/11.99 (define @t377 () (tptp.times_times_nat @t54 @t70)) % 11.74/11.99 (define @t378 () (tptp.divide_divide_nat @t377 @t70)) % 11.74/11.99 (define @t379 () (= @t54 @t202)) % 11.74/11.99 (define @t380 () (= tptp.zero_zero_nat @t70)) % 11.74/11.99 (define @t381 () (or @t380 @t379)) % 11.74/11.99 (define @t382 () (not @t380)) % 11.74/11.99 (define @t383 () (tptp.divide_divide_nat @t360 tptp.k)) % 11.74/11.99 (define @t384 () (= tptp.n @t383)) % 11.74/11.99 (define @t385 () (= tptp.zero_zero_nat tptp.k)) % 11.74/11.99 (define @t386 () (or @t385 @t384)) % 11.74/11.99 (define @t387 () (@list true false)) % 11.74/11.99 (define @t388 () (_ tptp.divide_divide_nat @t358)) % 11.74/11.99 (define @t389 () (@purify @t388)) % 11.74/11.99 (define @t390 () (_ @t389 tptp.k)) % 11.74/11.99 (define @t391 () (tptp.divide_divide_nat @t358 tptp.k)) % 11.74/11.99 (define @t392 () (_ @t388 tptp.k)) % 11.74/11.99 (define @t393 () (_ tptp.divide_divide_nat @t359)) % 11.74/11.99 (define @t394 () (= @t392 @t390)) % 11.74/11.99 (define @t395 () (= @t388 @t389)) % 11.74/11.99 (define @t396 () (and @t395 @t394)) % 11.74/11.99 (define @t397 () (_ @t388 tptp.k)) % 11.74/11.99 (define @t398 () (= @t392 @t397)) % 11.74/11.99 (define @t399 () (@purify @t314)) % 11.74/11.99 (define @t400 () (_ @t399 tptp.k)) % 11.74/11.99 (define @t401 () (= @t315 @t400)) % 11.74/11.99 (define @t402 () (= @t314 @t399)) % 11.74/11.99 (define @t403 () (and @t402 @t401)) % 11.74/11.99 (define @t404 () (_ @t314 tptp.k)) % 11.74/11.99 (define @t405 () (= @t315 @t404)) % 11.74/11.99 (define @t406 () (= @t313 @t312)) % 11.74/11.99 (define @t407 () (= @t391 @t390)) % 11.74/11.99 (define @t408 () (= @t312 @t400)) % 11.74/11.99 (define @t409 () (= tptp.n @t313)) % 11.74/11.99 (define @t410 () (and @t406 @t364 @t384 @t373 @t395 @t402 @t407 @t408)) % 11.74/11.99 (define @t411 () (not @t384)) % 11.74/11.99 (define @t412 () (not @t373)) % 11.74/11.99 (define @t413 () (not @t364)) % 11.74/11.99 (define @t414 () (not @t406)) % 11.74/11.99 (define @t415 () (tptp.ord_less_nat tptp.zero_zero_nat @t358)) % 11.74/11.99 (define @t416 () (= tptp.zero_zero_nat @t311)) % 11.74/11.99 (define @t417 () (not @t416)) % 11.74/11.99 (define @t418 () (not @t368)) % 11.74/11.99 (define @t419 () (not @t415)) % 11.74/11.99 (define @t420 () (and @t419 @t416 @t364 @t368)) % 11.74/11.99 (define @t421 () (tptp.ord_less_nat tptp.zero_zero_nat @t54)) % 11.74/11.99 (define @t422 () (= tptp.zero_zero_nat @t54)) % 11.74/11.99 (define @t423 () (not @t422)) % 11.74/11.99 (define @t424 () (= @t55 @t423)) % 11.74/11.99 (define @t425 () (= tptp.zero_zero_nat @t358)) % 11.74/11.99 (define @t426 () (not @t425)) % 11.74/11.99 (define @t427 () (forall @t59 (= @t423 @t421))) % 11.74/11.99 (define @t428 () (= @t426 @t415)) % 11.74/11.99 (define @t429 () (= @t415 @t426)) % 11.74/11.99 (define @t430 () (not @t429)) % 11.74/11.99 (define @t431 () (tptp.suc tptp.zero_zero_nat)) % 11.74/11.99 (define @t432 () (tptp.ord_less_nat @t2 @t431)) % 11.74/11.99 (define @t433 () (= tptp.zero_zero_nat @t2)) % 11.74/11.99 (define @t434 () (= @t43 @t433)) % 11.74/11.99 (define @t435 () (tptp.ord_less_nat @t311 @t431)) % 11.74/11.99 (define @t436 () (= @t416 @t435)) % 11.74/11.99 (define @t437 () (= tptp.zero_zero_nat @t200)) % 11.74/11.99 (define @t438 () (not @t437)) % 11.74/11.99 (define @t439 () (or @t438 @t422 @t380)) % 11.74/11.99 (define @t440 () (or @t422 @t380)) % 11.74/11.99 (define @t441 () (= tptp.zero_zero_nat tptp.n)) % 11.74/11.99 (define @t442 () (or @t426 @t385 @t441)) % 11.74/11.99 (define @t443 () (tptp.suc @t1)) % 11.74/11.99 (define @t444 () (tptp.ord_less_nat @t2 @t443)) % 11.74/11.99 (define @t445 () (tptp.ord_less_nat @t1 @t2)) % 11.74/11.99 (define @t446 () (not @t445)) % 11.74/11.99 (define @t447 () (= @t138 @t167)) % 11.74/11.99 (define @t448 () (tptp.ord_less_nat @t311 (tptp.suc @t360))) % 11.74/11.99 (define @t449 () (not @t369)) % 11.74/11.99 (define @t450 () (= @t449 @t448)) % 11.74/11.99 (define @t451 () (not @t450)) % 11.74/11.99 (define @t452 () (and @t364 @t441 @t425 @t448)) % 11.74/11.99 (define @t453 () (not @t448)) % 11.74/11.99 (define @t454 () (and @t347 (tptp.ord_less_nat tptp.zero_zero_nat tptp.n))) % 11.74/11.99 (define @t455 () (= @t415 @t454)) % 11.74/11.99 (define @t456 () (@list false false)) % 11.74/11.99 (define @t457 () (tptp.ord_less_nat @t184 @t2)) % 11.74/11.99 (define @t458 () (tptp.suc @t184)) % 11.74/11.99 (define @t459 () (or (= tptp.zero_zero_nat @t1) (not (forall @t189 (or (not (= @t1 @t458)) (not @t457)))))) % 11.74/11.99 (define @t460 () (tptp.ord_less_nat @t1 @t375)) % 11.74/11.99 (define @t461 () (= @t169 @t459)) % 11.74/11.99 (define @t462 () (not @t185)) % 11.74/11.99 (define @t463 () (not @t187)) % 11.74/11.99 (define @t464 () (or @t463 @t462)) % 11.74/11.99 (define @t465 () (forall @t189 (not @t188))) % 11.74/11.99 (define @t466 () (not @t465)) % 11.74/11.99 (define @t467 () (not (tptp.ord_less_nat @t184 @t360))) % 11.74/11.99 (define @t468 () (not (= @t311 @t458))) % 11.74/11.99 (define @t469 () (or @t468 @t467)) % 11.74/11.99 (define @t470 () (forall @t189 @t469)) % 11.74/11.99 (define @t471 () (not @t470)) % 11.74/11.99 (define @t472 () (or @t416 @t471)) % 11.74/11.99 (define @t473 () (= @t448 @t472)) % 11.74/11.99 (define @t474 () (forall @t24 (= @t460 @t459))) % 11.74/11.99 (define @t475 () (forall @t189 (or (not (= @t458 @t311)) @t467))) % 11.74/11.99 (define @t476 () (not @t475)) % 11.74/11.99 (define @t477 () (or @t416 @t476)) % 11.74/11.99 (define @t478 () (= @t448 @t477)) % 11.74/11.99 (define @t479 () (tptp.divide_divide_nat @t1 @t2)) % 11.74/11.99 (define @t480 () (= tptp.zero_zero_nat @t11)) % 11.74/11.99 (define @t481 () (or @t167 @t480)) % 11.74/11.99 (define @t482 () (= tptp.zero_zero_nat @t312)) % 11.74/11.99 (define @t483 () (tptp.ord_less_nat @t311 tptp.k)) % 11.74/11.99 (define @t484 () (not @t483)) % 11.74/11.99 (define @t485 () (or @t484 @t482)) % 11.74/11.99 (define @t486 () (= false true)) % 11.74/11.99 (define @t487 () (and @t347 @t416 @t484)) % 11.74/11.99 (define @t488 () (@quantifiers_skolemize @t475 0)) % 11.74/11.99 (define @t489 () (tptp.ord_less_nat @t488 @t360)) % 11.74/11.99 (define @t490 () (not @t489)) % 11.74/11.99 (define @t491 () (tptp.suc @t488)) % 11.74/11.99 (define @t492 () (= @t311 @t491)) % 11.74/11.99 (define @t493 () (not @t492)) % 11.74/11.99 (define @t494 () (or @t493 @t490)) % 11.74/11.99 (define @t495 () (not @t494)) % 11.74/11.99 (define @t496 () (not (= @t491 @t311))) % 11.74/11.99 (define @t497 () (or @t496 @t490)) % 11.74/11.99 (define @t498 () (not @t497)) % 11.74/11.99 (define @t499 () (@list true)) % 11.74/11.99 (define @t500 () (@list @t494)) % 11.74/11.99 (define @t501 () (tptp.suc @t140)) % 11.74/11.99 (define @t502 () (tptp.ord_less_nat @t501 @t12)) % 11.74/11.99 (define @t503 () (tptp.ord_less_nat @t144 @t12)) % 11.74/11.99 (define @t504 () (not @t154)) % 11.74/11.99 (define @t505 () (tptp.ord_less_nat @t140 @t144)) % 11.74/11.99 (define @t506 () (not @t148)) % 11.74/11.99 (define @t507 () (or @t506 @t504 @t153)) % 11.74/11.99 (define @t508 () (tptp.times_times_nat @t313 tptp.k)) % 11.74/11.99 (define @t509 () (tptp.suc @t323)) % 11.74/11.99 (define @t510 () (tptp.times_times_nat @t509 @t1)) % 11.74/11.99 (define @t511 () (tptp.ord_less_nat @t2 @t510)) % 11.74/11.99 (define @t512 () (or @t327 @t212)) % 11.74/11.99 (define @t513 () (tptp.ord_less_nat @t360 (tptp.times_times_nat (tptp.suc @t383) tptp.k))) % 11.74/11.99 (define @t514 () (or @t348 @t513)) % 11.74/11.99 (define @t515 () (tptp.ord_less_nat @t360 @t508)) % 11.74/11.99 (define @t516 () (and @t384 @t513)) % 11.74/11.99 (define @t517 () (tptp.ord_less_nat @t491 @t508)) % 11.74/11.99 (define @t518 () (not @t515)) % 11.74/11.99 (define @t519 () (or @t490 @t518 @t517)) % 11.74/11.99 (define @t520 () (not @t517)) % 11.74/11.99 (define @t521 () (and @t517 @t492 @t406 @t344)) % 11.74/11.99 (assume @p1 (forall @t7 (=> @t6 (= (_ (_ tptp.divide_divide_nat @t4) @t2) @t1)))) % 11.74/11.99 (assume @p2 (forall @t7 (=> @t6 (= (_ (_ tptp.divide_divide_nat @t9) @t2) @t1)))) % 11.74/11.99 (assume @p3 (forall @t19 (and (=> @t18 (= @t16 tptp.zero_zero_nat)) (=> (not @t18) @t17)))) % 11.74/11.99 (assume @p4 @t25) % 11.74/11.99 (assume @p5 (forall @t27 (= (_ @t10 @t26) @t1))) % 11.74/11.99 (assume @p6 (forall @t32 (= (_ (_ tptp.ord_less_nat @t31) @t30) @t29))) % 11.74/11.99 (assume @p7 @t37) % 11.74/11.99 (assume @p8 (forall @t19 (= @t38 @t29))) % 11.74/11.99 (assume @p9 (forall @t24 (= (= @t4 @t26) @t40))) % 11.74/11.99 (assume @p10 (forall @t24 (= (= @t26 @t4) @t40))) % 11.74/11.99 (assume @p11 @t46) % 11.74/11.99 (assume @p12 (forall @t45 (_ @t5 @t47))) % 11.74/11.99 (assume @p13 (forall (@list @t49 @t48) (= (= (_ tptp.suc @t49) @t50) (= @t49 @t48)))) % 11.74/11.99 (assume @p14 (forall (@list @t52 @t51) (= (= @t53 (_ tptp.suc @t51)) (= @t52 @t51)))) % 11.74/11.99 (assume @p15 @t60) % 11.74/11.99 (assume @p16 (forall @t45 (not (_ @t42 tptp.zero_zero_nat)))) % 11.74/11.99 (assume @p17 (forall @t45 (= @t61 @t6))) % 11.74/11.99 (assume @p18 (forall @t24 (= @t64 @t22))) % 11.74/11.99 (assume @p19 (forall @t24 (=> @t22 @t64))) % 11.74/11.99 (assume @p20 (forall @t45 (_ @t42 @t47))) % 11.74/11.99 (assume @p21 (forall @t32 (= @t67 @t66))) % 11.74/11.99 (assume @p22 (forall @t19 (= @t68 @t66))) % 11.74/11.99 (assume @p23 (forall @t27 (= (_ @t3 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 11.74/11.99 (assume @p24 (forall @t24 (= (= @t4 tptp.zero_zero_nat) (or @t69 @t41)))) % 11.74/11.99 (assume @p25 (forall @t81 (and (=> @t78 (= @t77 tptp.zero_zero_nat)) @t80))) % 11.74/11.99 (assume @p26 (forall @t81 (=> @t79 (= (_ (_ tptp.divide_divide_nat @t85) @t83) @t72)))) % 11.74/11.99 (assume @p27 (forall @t81 @t80)) % 11.74/11.99 (assume @p28 @t88) % 11.74/11.99 (assume @p29 (forall @t92 (=> (= (_ tptp.suc @t90) (_ tptp.suc @t89)) @t91))) % 11.74/11.99 (assume @p30 @t98) % 11.74/11.99 (assume @p31 (forall @t110 (=> (forall @t109 @t108) @t100))) % 11.74/11.99 (assume @p32 (forall @t110 (=> (forall @t109 (=> (forall @t105 (=> @t104 @t102)) @t106)) @t100))) % 11.74/11.99 (assume @p33 (forall @t45 (not (_ @t42 @t2)))) % 11.74/11.99 (assume @p34 (forall (@list @t112 @t111) (=> (_ (_ tptp.ord_less_nat @t112) @t111) (not (= @t112 @t111))))) % 11.74/11.99 (assume @p35 (forall @t7 (=> @t114 @t113))) % 11.74/11.99 (assume @p36 (forall @t24 (= @t113 (or @t22 @t114)))) % 11.74/11.99 (assume @p37 (forall (@list @t116 @t115) (=> (not (= (_ tptp.size_s642698393od_a_a @t116) (_ tptp.size_s642698393od_a_a @t115))) (not (= @t116 @t115))))) % 11.74/11.99 (assume @p38 (forall (@list @t118 @t117) (=> (not (= (_ tptp.size_size_list_a @t118) (_ tptp.size_size_list_a @t117))) (not (= @t118 @t117))))) % 11.74/11.99 (assume @p39 (forall @t45 (=> @t61 @t120))) % 11.74/11.99 (assume @p40 (forall (@list @t99 @t49) (=> @t124 (=> (forall @t123 (=> (_ @t99 @t121) (_ @t99 @t122))) (_ @t99 @t49))))) % 11.74/11.99 (assume @p41 (forall (@list @t89) (=> (not (= @t89 tptp.zero_zero_nat)) (not (forall @t123 (not (= @t89 @t122))))))) % 11.74/11.99 (assume @p42 @t127) % 11.74/11.99 (assume @p43 (forall @t27 (not (= @t62 tptp.zero_zero_nat)))) % 11.74/11.99 (assume @p44 (forall (@list @t99 @t12) (=> (_ @t99 @t12) (=> (forall @t109 (=> @t129 @t106)) @t124)))) % 11.74/11.99 (assume @p45 (forall (@list @t130 @t1 @t2) (=> (forall (@list @t133) (_ @t134 tptp.zero_zero_nat)) (=> (forall (@list @t131) (_ (_ @t130 tptp.zero_zero_nat) @t132)) (=> (forall (@list @t133 @t131) (=> (_ @t134 @t131) (_ (_ @t130 (_ tptp.suc @t133)) @t132))) (_ (_ @t130 @t1) @t2)))))) % 11.74/11.99 (assume @p46 (forall @t110 (=> @t124 (=> (forall @t109 (=> @t106 @t129)) @t100)))) % 11.74/11.99 (assume @p47 (forall (@list @t49 @t52) (=> (= @t49 @t53) (not (= @t49 tptp.zero_zero_nat))))) % 11.74/11.99 (assume @p48 (forall @t135 (not (= tptp.zero_zero_nat @t50)))) % 11.74/11.99 (assume @p49 (forall @t135 (not (= @t50 tptp.zero_zero_nat)))) % 11.74/11.99 (assume @p50 (forall (@list @t52) (not (= tptp.zero_zero_nat @t53)))) % 11.74/11.99 (assume @p51 (forall @t59 (not @t137))) % 11.74/11.99 (assume @p52 (forall @t110 (=> @t124 (=> (forall @t109 (=> (_ @t5 @t103) @t108)) @t100)))) % 11.74/11.99 (assume @p53 (forall @t24 (=> @t22 @t61))) % 11.74/11.99 (assume @p54 (forall @t45 (= (not @t6) @t41))) % 11.74/11.99 (assume @p55 (forall @t45 (=> @t61 @t6))) % 11.74/11.99 (assume @p56 (forall @t7 (=> @t139 (= @t138 (= @t2 @t1))))) % 11.74/11.99 (assume @p57 (forall (@list @t140 @t144 @t99) (=> @t148 (=> (forall @t146 (=> (= @t144 @t143) @t142)) (=> (forall @t146 (=> (_ @t145 @t144) (=> (_ @t99 @t143) @t142))) (_ @t99 @t140)))))) % 11.74/11.99 (assume @p58 (forall (@list @t140 @t144 @t130) (=> @t148 (=> (forall @t146 (_ @t150 @t143)) (=> (forall (@list @t141 @t151 @t149) (=> (_ @t145 @t151) (=> (_ (_ tptp.ord_less_nat @t151) @t149) (=> (_ @t150 @t151) (=> (_ (_ @t130 @t151) @t149) (_ @t150 @t149)))))) (_ (_ @t130 @t140) @t144)))))) % 11.74/11.99 (assume @p59 @t157) % 11.74/11.99 (assume @p60 (forall @t24 (=> @t64 @t22))) % 11.74/11.99 (assume @p61 (forall @t7 (=> @t139 (=> @t138 @t65)))) % 11.74/11.99 (assume @p62 (forall @t7 (= (_ (_ tptp.ord_less_nat @t47) @t1) (exists (@list @t158) (and (= @t1 (_ tptp.suc @t158)) (_ @t42 @t158)))))) % 11.74/11.99 (assume @p63 (forall @t166 (= @t165 (and @t100 (forall @t163 (=> @t162 @t160)))))) % 11.74/11.99 (assume @p64 @t168) % 11.74/11.99 (assume @p65 (forall @t24 (= @t169 (or @t22 @t65)))) % 11.74/11.99 (assume @p66 (forall @t166 (= @t170 (or @t100 (exists @t163 (and @t162 @t160)))))) % 11.74/11.99 (assume @p67 (forall @t24 (=> @t22 @t169))) % 11.74/11.99 (assume @p68 (forall @t24 (=> @t169 (=> @t167 @t65)))) % 11.74/11.99 (assume @p69 (forall @t24 (=> @t22 (=> (not (= @t62 @t2)) @t171)))) % 11.74/11.99 (assume @p70 (forall @t173 (=> @t153 @t172))) % 11.74/11.99 (assume @p71 (forall @t24 (=> @t171 @t22))) % 11.74/11.99 (assume @p72 (forall @t173 (=> (_ @t147 @t12) (=> (not (= @t12 @t152)) @t172)))) % 11.74/11.99 (assume @p73 (forall @t19 (= @t68 (or @t18 @t65)))) % 11.74/11.99 (assume @p74 (forall @t45 (= (_ @t174 @t2) tptp.zero_zero_nat))) % 11.74/11.99 (assume @p75 (forall @t19 (= (= @t178 @t177) @t65))) % 11.74/11.99 (assume @p76 (forall (@list @t1 @t2 @t179) (= (_ @t10 (_ @t8 @t179)) (_ (_ tptp.divide_divide_nat @t11) @t179)))) % 11.74/11.99 (assume @p77 (forall (@list @t180 @t2 @t1) (=> @t182 (= (_ @t181 (_ @t180 @t1)) @t114)))) % 11.74/11.99 (assume @p78 (forall (@list @t180 @t2 @t183) (=> @t182 (=> (_ @t42 @t183) (_ @t181 (_ @t180 @t183)))))) % 11.74/11.99 (assume @p79 @t193) % 11.74/11.99 (assume @p80 (forall @t45 (=> @t6 @t120))) % 11.74/11.99 (assume @p81 (forall @t166 (= @t165 (and @t124 (forall @t163 (=> @t162 @t194)))))) % 11.74/11.99 (assume @p82 (forall @t45 (= @t6 (exists (@list @t195) (= @t2 (_ tptp.suc @t195)))))) % 11.74/11.99 (assume @p83 (forall @t166 (= @t170 (or @t124 (exists @t163 (and @t162 @t194)))))) % 11.74/11.99 (assume @p84 (forall @t19 (=> @t28 (= @t38 @t22)))) % 11.74/11.99 (assume @p85 (forall @t19 (=> @t28 (= @t68 @t65)))) % 11.74/11.99 (assume @p86 (forall @t156 (=> @t148 (=> @t28 (_ (_ tptp.ord_less_nat (_ @t13 @t140)) (_ @t13 @t144)))))) % 11.74/11.99 (assume @p87 (forall @t156 (=> @t148 (=> @t28 (_ (_ tptp.ord_less_nat (_ @t196 @t12)) (_ (_ tptp.times_times_nat @t144) @t12)))))) % 11.74/11.99 (assume @p88 (forall @t19 (= (_ (_ tptp.ord_less_nat @t178) @t177) @t22))) % 11.74/11.99 (assume @p89 (forall @t24 (= @t20 (or @t22 @t41)))) % 11.74/11.99 (assume @p90 (forall (@list @t1 @t140 @t2) (=> (_ @t21 (_ @t196 @t2)) (_ (_ tptp.ord_less_nat @t11) @t140)))) % 11.74/11.99 (assume @p91 (forall @t7 (=> @t6 (=> @t198 (_ @t42 @t9))))) % 11.74/11.99 (assume @p92 (forall @t7 (=> @t6 (=> @t198 (_ @t42 @t4))))) % 11.74/11.99 (assume @p93 (forall @t7 (=> @t199 (=> @t198 (_ @t197 @t4))))) % 11.74/11.99 (assume @p94 (forall @t19 (=> @t28 @t17))) % 11.74/11.99 (assume @p95 @t207) % 11.74/11.99 (assume @p96 (forall @t208 (=> @t57 (= (_ @t201 @t54) @t70)))) % 11.74/11.99 (assume @p97 @t213) % 11.74/11.99 (assume @p98 (forall @t59 (= (_ @t174 @t54) tptp.zero_zero_nat))) % 11.74/11.99 (assume @p99 (forall @t59 (= (_ @t84 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 11.74/11.99 (assume @p100 (forall @t208 (= @t215 @t214))) % 11.74/11.99 (assume @p101 (forall @t81 (= @t218 @t217))) % 11.74/11.99 (assume @p102 (forall (@list @t54 @t73 @t70) (= @t219 @t217))) % 11.74/11.99 (assume @p103 (forall @t59 (= (_ (_ tptp.divide_divide_nat tptp.zero_zero_nat) @t54) tptp.zero_zero_nat))) % 11.74/11.99 (assume @p104 (forall @t59 (= (_ @t71 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 11.74/11.99 (assume @p105 (forall @t208 (=> @t220 (and @t57 @t204)))) % 11.74/11.99 (assume @p106 @t222) % 11.74/11.99 (assume @p107 (forall @t208 (=> @t57 (=> @t204 @t220)))) % 11.74/11.99 (assume @p108 (forall @t81 (=> @t79 (= @t218 @t216)))) % 11.74/11.99 (assume @p109 (forall @t81 (=> @t79 (= @t219 @t216)))) % 11.74/11.99 (assume @p110 (forall @t208 (=> @t137 (=> @t224 @t223)))) % 11.74/11.99 (assume @p111 (forall @t208 (=> @t55 (=> @t225 @t223)))) % 11.74/11.99 (assume @p112 (forall @t208 (=> @t55 (=> @t224 @t226)))) % 11.74/11.99 (assume @p113 (forall @t208 (=> @t55 (=> @t225 (_ (_ tptp.ord_less_nat @t227) tptp.zero_zero_nat))))) % 11.74/11.99 (assume @p114 (forall @t208 (=> @t226 @t228))) % 11.74/11.99 (assume @p115 (forall @t206 (=> (_ @t5 @t227) @t228))) % 11.74/11.99 (assume @p116 (forall @t231 (=> @t230 (=> @t229 (_ (_ tptp.ord_less_nat @t76) @t75))))) % 11.74/11.99 (assume @p117 (forall @t231 (=> @t230 (=> @t229 (_ (_ tptp.ord_less_nat @t85) @t83))))) % 11.74/11.99 (assume @p118 (forall @t7 (= @t232 (or @t69 @t114)))) % 11.74/11.99 (assume @p119 (forall @t24 (=> @t33 (= @t232 @t114)))) % 11.74/11.99 (assume @p120 (forall (@list @t2 @t12 @t1) (=> @t234 @t233))) % 11.74/11.99 (assume @p121 (forall @t235 (=> @t33 (= @t233 @t234)))) % 11.74/11.99 (assume @p122 (forall @t235 (=> @t33 (=> @t233 @t234)))) % 11.74/11.99 (assume @p123 (forall @t19 (=> @t28 (= @t67 @t65)))) % 11.74/11.99 (assume @p124 (forall @t237 (= (= tptp.zero_zero_nat @t90) @t236))) % 11.74/11.99 (assume @p125 (forall (@list @t70 @t54 @t73) (= (_ @t82 @t85) @t238))) % 11.74/11.99 (assume @p126 @t242) % 11.74/11.99 (assume @p127 (forall @t231 (= (_ (_ tptp.times_times_nat @t200) @t73) @t238))) % 11.74/11.99 (assume @p128 (forall @t45 (= @t6 @t61))) % 11.74/11.99 (assume @p129 (forall @t24 (=> @t22 @t6))) % 11.74/11.99 (assume @p130 (forall @t45 (= (_ @t42 @t244) @t243))) % 11.74/11.99 (assume @p131 (forall @t45 (= @t199 @t245))) % 11.74/11.99 (assume @p132 (forall (@list @t247 @t246) (=> (forall @t251 (=> (forall (@list @t249) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s642698393od_a_a @t249)) @t250) (_ @t247 @t249))) (_ @t247 @t248))) (_ @t247 @t246)))) % 11.74/11.99 (assume @p133 (forall (@list @t253 @t252) (=> (forall @t257 (=> (forall (@list @t255) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t255)) @t256) (_ @t253 @t255))) (_ @t253 @t254))) (_ @t253 @t252)))) % 11.74/11.99 (assume @p134 (forall @t45 (exists @t251 (= @t250 @t2)))) % 11.74/11.99 (assume @p135 (forall @t45 (exists @t257 (= @t256 @t2)))) % 11.74/11.99 (assume @p136 (forall @t261 (=> (not (= @t260 @t259)) (not (= @t246 @t258))))) % 11.74/11.99 (assume @p137 (forall @t265 (=> (not (= @t264 @t263)) (not (= @t252 @t262))))) % 11.74/11.99 (assume @p138 (forall @t237 (=> (not @t236) (not (forall @t109 (not (= @t90 @t128))))))) % 11.74/11.99 (assume @p139 (forall (@list @t99) (=> (not @t124) (=> (exists (@list @t266) (_ @t99 @t266)) (exists @t109 (and @t107 @t129)))))) % 11.74/11.99 (assume @p140 (not (_ @t5 tptp.zero_zero_nat))) % 11.74/11.99 (assume @p141 (forall (@list @t252 @t258) (= (_ tptp.size_s1875148994od_a_a (_ (_ tptp.produc16441326od_a_a @t252) @t258)) (_ @t267 @t259)))) % 11.74/11.99 (assume @p142 (forall (@list @t246 @t262) (= (_ tptp.size_s736232240_a_a_a (_ (_ tptp.produc778776796_a_a_a @t246) @t262)) (_ @t268 @t263)))) % 11.74/11.99 (assume @p143 (forall @t261 (= (_ tptp.size_s1052379225od_a_a (_ (_ tptp.produc1055075589od_a_a @t246) @t258)) (_ @t268 @t259)))) % 11.74/11.99 (assume @p144 (forall @t265 (= (_ tptp.size_s642698393od_a_a (_ (_ tptp.product_a_a @t252) @t262)) (_ @t267 @t263)))) % 11.74/11.99 (assume @p145 (forall (@list @t99 @t1 @t2) (= (_ @t99 @t11) (or (and @t41 @t124) (exists (@list @t269) (and (_ (_ tptp.ord_less_eq_nat (_ @t8 @t269)) @t1) (_ @t21 (_ @t8 (_ tptp.suc @t269))) (_ @t99 @t269))))))) % 11.74/11.99 (assume @p146 @t276) % 11.74/11.99 (assume @p147 (forall @t45 (= (_ @t277 tptp.zero_zero_nat) @t41))) % 11.74/11.99 (assume @p148 (forall @t59 @t279)) % 11.74/11.99 (assume @p149 (forall @t45 (_ @t278 @t2))) % 11.74/11.99 (assume @p150 (forall @t7 (= (_ (_ tptp.ord_less_eq_nat @t47) @t62) (_ @t277 @t1)))) % 11.74/11.99 (assume @p151 (forall @t24 (= (_ @t280 @t4) (and (_ @t280 @t1) (_ @t280 @t2))))) % 11.74/11.99 (assume @p152 (forall @t32 (= (_ (_ tptp.ord_less_eq_nat @t31) @t30) @t281))) % 11.74/11.99 (assume @p153 (forall @t19 (= (_ @t272 @t14) @t281))) % 11.74/11.99 (assume @p154 (_ @t278 tptp.zero_zero_nat)) % 11.74/11.99 (assume @p155 (forall @t237 (_ @t278 @t90))) % 11.74/11.99 (assume @p156 (= tptp.ord_less_nat (lambda @t286 (forall @t285 (=> (_ (_ tptp.ord_less_eq_nat @t239) @t282) @t284))))) % 11.74/11.99 (assume @p157 (= tptp.ord_less_nat (lambda @t287 (forall @t285 (=> (_ (_ tptp.ord_less_eq_nat @t282) @t239) @t284))))) % 11.74/11.99 (assume @p158 (= tptp.ord_less_eq_nat (lambda @t286 (forall @t285 (=> (_ (_ tptp.ord_less_nat @t239) @t282) @t284))))) % 11.74/11.99 (assume @p159 (forall @t45 (= (_ (_ tptp.ord_less_eq_nat @t244) @t2) @t245))) % 11.74/11.99 (assume @p160 (forall @t45 (= (_ @t277 @t26) @t243))) % 11.74/11.99 (assume @p161 (forall @t231 (=> @t290 (=> @t288 (_ (_ tptp.ord_less_eq_nat @t76) @t75))))) % 11.74/11.99 (assume @p162 (forall @t208 (=> @t279 (=> @t291 (_ (_ tptp.ord_less_eq_nat @t227) tptp.zero_zero_nat))))) % 11.74/11.99 (assume @p163 (forall @t208 (=> @t294 (=> @t293 @t292)))) % 11.74/11.99 (assume @p164 (forall @t208 (=> @t279 (=> @t291 @t292)))) % 11.74/11.99 (assume @p165 (forall @t208 (=> @t279 (=> @t293 (_ @t278 @t200))))) % 11.74/11.99 (assume @p166 (forall @t208 (=> (or (and @t279 @t291) (and @t294 @t293)) @t292))) % 11.74/11.99 (assume @p167 (forall @t231 (=> @t290 (=> @t288 (_ @t295 @t83))))) % 11.74/11.99 (assume @p168 (forall @t299 (=> @t290 (=> @t298 (=> @t279 @t297))))) % 11.74/11.99 (assume @p169 (forall @t299 (=> @t290 (=> @t298 (=> @t293 @t297))))) % 11.74/11.99 (assume @p170 @t304) % 11.74/11.99 (assume @p171 (not (= tptp.k tptp.zero_zero_nat))) % 11.74/11.99 (assume @p172 @t307) % 11.74/11.99 (assume @p173 true) % 11.74/11.99 (step @p174 (= tptp.ord_less_eq_nat @t310) :rule refl :args (@t310)) % 11.74/11.99 (step @p175 :rule eq-symm :args (@t312 @t313)) % 11.74/11.99 (step @p176 :rule refl :args (@t313)) % 11.74/11.99 (step @p177 :rule refl :args (@t300)) % 11.74/11.99 (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t300 @t313))) % 11.74/11.99 (step @p179 :rule symm :premises (@p178)) % 11.74/11.99 (step @p180 :rule eq_resolve :premises (@p177 @p179)) % 11.74/11.99 (step @p181 :rule refl :args ((tptp.divide_divide_nat @t301 tptp.k))) % 11.74/11.99 (step @p182 :rule refl :args (tptp.k)) % 11.74/11.99 (step @p183 :rule refl :args (@t311)) % 11.74/11.99 (step @p184 :rule cong :premises (@p183 @p182) :args (@t312)) % 11.74/11.99 (step @p185 :rule trans :premises (@p184 @p181)) % 11.74/11.99 (step @p186 :rule refl :args (tptp.divide_divide_nat)) % 11.74/11.99 (step @p187 :rule ho_cong :premises (@p186 @p183)) % 11.74/11.99 (step @p188 :rule ho_cong :premises (@p187 @p182)) % 11.74/11.99 (step @p189 :rule cong :premises (@p188 @p185) :args ((= @t315 @t312))) % 11.74/11.99 (step @p190 :rule symm :premises (@p189)) % 11.74/11.99 (step @p191 :rule refl :args (@t303)) % 11.74/11.99 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 11.74/11.99 (step @p193 :rule refl :args (tptp.k)) % 11.74/11.99 (step @p194 :rule refl :args (@t301)) % 11.74/11.99 (step @p195 :rule cong :premises (@p194 @p183) :args ((= @t301 @t311))) % 11.74/11.99 (step @p196 :rule symm :premises (@p195)) % 11.74/11.99 (step @p197 :rule eq_resolve :premises (@p194 @p196)) % 11.74/11.99 (step @p198 :rule refl :args (tptp.divide_divide_nat)) % 11.74/11.99 (step @p199 :rule ho_cong :premises (@p198 @p197)) % 11.74/11.99 (step @p200 :rule ho_cong :premises (@p199 @p193)) % 11.74/11.99 (step @p201 :rule trans :premises (@p200 @p192)) % 11.74/11.99 (step @p202 :rule cong :premises (@p201 @p180) :args (@t304)) % 11.74/11.99 (step @p203 :rule trans :premises (@p202 @p175)) % 11.74/11.99 (step @p204 :rule eq_resolve :premises (@p170 @p203)) % 11.74/11.99 (step @p205 :rule refl :args ((tptp.ord_less_nat @t2 @t178))) % 11.74/11.99 (step @p206 :rule refl :args ((tptp.times_times_nat @t175 @t1))) % 11.74/11.99 (step @p207 :rule refl :args (@t1)) % 11.74/11.99 (step @p208 :rule refl :args (@t316)) % 11.74/11.99 (step @p209 :rule cong :premises (@p208 @p207) :args (@t317)) % 11.74/11.99 (step @p210 :rule trans :premises (@p209 @p206)) % 11.74/11.99 (step @p211 :rule refl :args (@t2)) % 11.74/11.99 (step @p212 :rule cong :premises (@p211 @p210) :args (@t318)) % 11.74/11.99 (step @p213 :rule trans :premises (@p212 @p205)) % 11.74/11.99 (step @p214 :rule refl :args (@t42)) % 11.74/11.99 (step @p215 :rule ho_cong :premises (@p214 @p210)) % 11.74/11.99 (step @p216 :rule cong :premises (@p215 @p213) :args ((= (_ @t42 @t317) @t318))) % 11.74/11.99 (step @p217 :rule symm :premises (@p216)) % 11.74/11.99 (step @p218 :rule refl :args (@t271)) % 11.74/11.99 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 11.74/11.99 (step @p220 :rule refl :args (tptp.times_times_nat)) % 11.74/11.99 (step @p221 :rule ho_cong :premises (@p220 @p208)) % 11.74/11.99 (step @p222 :rule ho_cong :premises (@p221 @p207)) % 11.74/11.99 (step @p223 :rule cong :premises (@p222 @p210) :args ((= (_ (_ tptp.times_times_nat @t316) @t1) @t317))) % 11.74/11.99 (step @p224 :rule symm :premises (@p223)) % 11.74/11.99 (step @p225 :rule refl :args (@t178)) % 11.74/11.99 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 11.74/11.99 (step @p227 :rule refl :args (@t175)) % 11.74/11.99 (step @p228 :rule cong :premises (@p227 @p208) :args ((= @t175 @t316))) % 11.74/11.99 (step @p229 :rule symm :premises (@p228)) % 11.74/11.99 (step @p230 :rule eq_resolve :premises (@p227 @p229)) % 11.74/11.99 (step @p231 :rule ho_cong :premises (@p220 @p230)) % 11.74/11.99 (step @p232 :rule ho_cong :premises (@p231 @p207)) % 11.74/11.99 (step @p233 :rule trans :premises (@p232 @p226)) % 11.74/11.99 (step @p234 :rule ho_cong :premises (@p214 @p233)) % 11.74/11.99 (step @p235 :rule trans :premises (@p234 @p219)) % 11.74/11.99 (step @p236 :rule refl :args (@t319)) % 11.74/11.99 (step @p237 :rule refl :args (@t15)) % 11.74/11.99 (step @p238 :rule cong :premises (@p237 @p236) :args ((= @t15 @t319))) % 11.74/11.99 (step @p239 :rule symm :premises (@p238)) % 11.74/11.99 (step @p240 :rule eq_resolve :premises (@p237 @p239)) % 11.74/11.99 (step @p241 :rule cong :premises (@p211 @p240) :args (@t320)) % 11.74/11.99 (step @p242 :rule cong :premises (@p241) :args (@t321)) % 11.74/11.99 (step @p243 :rule nary_cong :premises (@p242 @p235) :args (@t322)) % 11.74/11.99 (step @p244 :rule refl :args (@t323)) % 11.74/11.99 (step @p245 :rule refl :args (@t209)) % 11.74/11.99 (step @p246 :rule cong :premises (@p245 @p244) :args ((= @t209 @t323))) % 11.74/11.99 (step @p247 :rule symm :premises (@p246)) % 11.74/11.99 (step @p248 :rule eq_resolve :premises (@p245 @p247)) % 11.74/11.99 (step @p249 :rule refl :args (@t12)) % 11.74/11.99 (step @p250 :rule cong :premises (@p249 @p248) :args (@t324)) % 11.74/11.99 (step @p251 :rule cong :premises (@p250 @p243) :args (@t325)) % 11.74/11.99 (step @p252 :rule refl :args (@t326)) % 11.74/11.99 (step @p253 :rule refl :args (@t33)) % 11.74/11.99 (step @p254 :rule cong :premises (@p253 @p252) :args ((= @t33 @t326))) % 11.74/11.99 (step @p255 :rule symm :premises (@p254)) % 11.74/11.99 (step @p256 :rule eq_resolve :premises (@p253 @p255)) % 11.74/11.99 (step @p257 :rule cong :premises (@p256) :args (@t327)) % 11.74/11.99 (step @p258 :rule nary_cong :premises (@p257 @p251) :args (@t328)) % 11.74/11.99 (step @p259 :rule cong :premises (@p258) :args ((forall @t32 @t328))) % 11.74/11.99 (step @p260 :rule bool-impl-elim :args (@t33 @t325)) % 11.74/11.99 (step @p261 :rule cong :premises (@p260) :args ((forall @t32 (=> @t33 @t325)))) % 11.74/11.99 (step @p262 :rule trans :premises (@p261 @p259)) % 11.74/11.99 (step @p263 :rule refl :args (@t271)) % 11.74/11.99 (step @p264 :rule beta-reduce :args ((= (_ @t329 @t2) @t321))) % 11.74/11.99 (step @p265 :rule refl :args (@t2)) % 11.74/11.99 (step @p266 :rule beta-reduce :args ((= @t331 @t329))) % 11.74/11.99 (step @p267 :rule ho_cong :premises (@p266 @p265)) % 11.74/11.99 (step @p268 :rule trans :premises (@p267 @p264)) % 11.74/11.99 (step @p269 :rule nary_cong :premises (@p268 @p263) :args (@t332)) % 11.74/11.99 (step @p270 :rule eq-symm :args (@t209 @t12)) % 11.74/11.99 (step @p271 :rule cong :premises (@p270 @p269) :args ((= @t270 @t332))) % 11.74/11.99 (step @p272 :rule eq-symm :args (@t332 @t270)) % 11.74/11.99 (step @p273 :rule trans :premises (@p272 @p271)) % 11.74/11.99 (step @p274 :rule refl :args (@t33)) % 11.74/11.99 (step @p275 :rule cong :premises (@p274 @p273) :args (@t333)) % 11.74/11.99 (step @p276 :rule cong :premises (@p275) :args ((forall @t32 @t333))) % 11.74/11.99 (step @p277 :rule trans :premises (@p276 @p262)) % 11.74/11.99 (step @p278 :rule refl :args (@t270)) % 11.74/11.99 (step @p279 :rule refl :args (@t15)) % 11.74/11.99 (step @p280 :rule aci_norm :args ((= (or @t330 false) @t330))) % 11.74/11.99 (step @p281 :rule evaluate :args ((not true))) % 11.74/11.99 (step @p282 :rule eq-refl :args (@t283)) % 11.74/11.99 (step @p283 :rule cong :premises (@p282) :args (@t334)) % 11.74/11.99 (step @p284 :rule trans :premises (@p283 @p281)) % 11.74/11.99 (step @p285 :rule refl :args (@t330)) % 11.74/11.99 (step @p286 :rule nary_cong :premises (@p285 @p284) :args (@t335)) % 11.74/11.99 (step @p287 :rule trans :premises (@p286 @p280)) % 11.74/11.99 (step @p288 :rule quant-var-elim-eq :args ((= (forall @t285 (or (not (= @t282 @t283)) @t337 @t284)) @t335))) % 11.74/11.99 (step @p289 :rule refl :args (@t284)) % 11.74/11.99 (step @p290 :rule refl :args (@t337)) % 11.74/11.99 (step @p291 :rule eq-symm :args (@t283 @t282)) % 11.74/11.99 (step @p292 :rule cong :premises (@p291) :args (@t284)) % 11.74/11.99 (step @p293 :rule nary_cong :premises (@p292 @p290 @p289) :args (@t338)) % 11.74/11.99 (step @p294 :rule aci_norm :args ((= @t339 @t338))) % 11.74/11.99 (step @p295 :rule trans :premises (@p294 @p293)) % 11.74/11.99 (step @p296 :rule cong :premises (@p295) :args ((forall @t285 @t339))) % 11.74/11.99 (step @p297 :rule trans :premises (@p296 @p288)) % 11.74/11.99 (step @p298 :rule trans :premises (@p297 @p287)) % 11.74/11.99 (step @p299 :rule refl :args (@t336)) % 11.74/11.99 (step @p300 :rule refl :args (@t308)) % 11.74/11.99 (step @p301 :rule cong :premises (@p300 @p299) :args ((= @t308 @t336))) % 11.74/11.99 (step @p302 :rule symm :premises (@p301)) % 11.74/11.99 (step @p303 :rule eq_resolve :premises (@p300 @p302)) % 11.74/11.99 (step @p304 :rule cong :premises (@p303) :args (@t340)) % 11.74/11.99 (step @p305 :rule nary_cong :premises (@p304 @p289) :args (@t341)) % 11.74/11.99 (step @p306 :rule cong :premises (@p305) :args ((forall @t285 @t341))) % 11.74/11.99 (step @p307 :rule trans :premises (@p306 @p298)) % 11.74/11.99 (step @p308 :rule bool-impl-elim :args (@t308 @t284)) % 11.74/11.99 (step @p309 :rule cong :premises (@p308) :args (@t309)) % 11.74/11.99 (step @p310 :rule trans :premises (@p309 @p307)) % 11.74/11.99 (step @p311 :rule cong :premises (@p310) :args (@t310)) % 11.74/11.99 (step @p312 :rule trans :premises (@p174 @p311)) % 11.74/11.99 (step @p313 :rule ho_cong :premises (@p312 @p279)) % 11.74/11.99 (step @p314 :rule ho_cong :premises (@p313 @p265)) % 11.74/11.99 (step @p315 :rule nary_cong :premises (@p314 @p263) :args (@t273)) % 11.74/11.99 (step @p316 :rule cong :premises (@p315 @p278) :args (@t274)) % 11.74/11.99 (step @p317 :rule cong :premises (@p274 @p316) :args (@t275)) % 11.74/11.99 (step @p318 :rule cong :premises (@p317) :args (@t276)) % 11.74/11.99 (step @p319 :rule trans :premises (@p318 @p277)) % 11.74/11.99 (step @p320 :rule eq_resolve :premises (@p146 @p319)) % 11.74/11.99 (step @p321 :rule bool-eq-true :args (@t345)) % 11.74/11.99 (step @p322 :rule eq-symm :args (true @t345)) % 11.74/11.99 (step @p323 :rule trans :premises (@p322 @p321)) % 11.74/11.99 (step @p324 :rule refl :args (@t345)) % 11.74/11.99 (step @p325 :rule eq-refl :args (@t312)) % 11.74/11.99 (step @p326 :rule cong :premises (@p325 @p324) :args (@t346)) % 11.74/11.99 (step @p327 :rule trans :premises (@p326 @p323)) % 11.74/11.99 (step @p328 :rule refl :args (@t348)) % 11.74/11.99 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t349)) % 11.74/11.99 (step @p330 :rule refl :args (@t350)) % 11.74/11.99 (step @p331 :rule cong :premises (@p330 @p329) :args ((=> @t350 @t349))) % 11.74/11.99 (assume-push @p1145 @t350) % 11.74/11.99 (step @p333 :rule instantiate :premises (@p320) :args ((@list tptp.k @t312 @t311))) % 11.74/11.99 (step-pop @p1146 :rule scope :premises (@p333)) % 11.74/11.99 (step @p334 :rule process_scope :premises (@p1146) :args (@t349)) % 11.74/11.99 (step @p336 :rule eq_resolve :premises (@p334 @p331)) % 11.74/11.99 (step @p337 :rule implies_elim :premises (@p336)) % 11.74/11.99 (step @p338 :rule chain_m_resolution :premises (@p337 @p320) :args (@t351 @t352 (@list @t350))) % 11.74/11.99 (step @p339 :rule refl :args (@t353)) % 11.74/11.99 (step @p340 :rule refl :args (@t6)) % 11.74/11.99 (step @p341 :rule cong :premises (@p340 @p339) :args ((= @t6 @t353))) % 11.74/11.99 (step @p342 :rule symm :premises (@p341)) % 11.74/11.99 (step @p343 :rule eq_resolve :premises (@p340 @p342)) % 11.74/11.99 (step @p344 :rule nary_cong :premises (@p256 @p343) :args (@t34)) % 11.74/11.99 (step @p345 :rule refl :args ((tptp.ord_less_nat tptp.zero_zero_nat @t4))) % 11.74/11.99 (step @p346 :rule refl :args (@t354)) % 11.74/11.99 (step @p347 :rule refl :args (tptp.zero_zero_nat)) % 11.74/11.99 (step @p348 :rule cong :premises (@p347 @p346) :args (@t355)) % 11.74/11.99 (step @p349 :rule trans :premises (@p348 @p345)) % 11.74/11.99 (step @p350 :rule refl :args (@t5)) % 11.74/11.99 (step @p351 :rule ho_cong :premises (@p350 @p346)) % 11.74/11.99 (step @p352 :rule cong :premises (@p351 @p349) :args ((= (_ @t5 @t354) @t355))) % 11.74/11.99 (step @p353 :rule symm :premises (@p352)) % 11.74/11.99 (step @p354 :rule refl :args (@t35)) % 11.74/11.99 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 11.74/11.99 (step @p356 :rule refl :args (@t4)) % 11.74/11.99 (step @p357 :rule cong :premises (@p356 @p346) :args ((= @t4 @t354))) % 11.74/11.99 (step @p358 :rule symm :premises (@p357)) % 11.74/11.99 (step @p359 :rule eq_resolve :premises (@p356 @p358)) % 11.74/11.99 (step @p360 :rule ho_cong :premises (@p350 @p359)) % 11.74/11.99 (step @p361 :rule trans :premises (@p360 @p355)) % 11.74/11.99 (step @p362 :rule cong :premises (@p361 @p344) :args (@t36)) % 11.74/11.99 (step @p363 :rule cong :premises (@p362) :args (@t37)) % 11.74/11.99 (step @p364 :rule eq_resolve :premises (@p7 @p363)) % 11.74/11.99 (step @p365 :rule instantiate :premises (@p364) :args (@t356)) % 11.74/11.99 (step @p366 :rule eq-refl :args (@t241)) % 11.74/11.99 (step @p367 :rule skolem_intro :args (@t357)) % 11.74/11.99 (step @p368 :rule refl :args (@t241)) % 11.74/11.99 (step @p369 :rule cong :premises (@p368 @p367) :args ((= @t241 @t357))) % 11.74/11.99 (step @p370 :rule trans :premises (@p369 @p366)) % 11.74/11.99 (step @p371 :rule true_elim :premises (@p370)) % 11.74/11.99 (step @p372 :rule refl :args (tptp.times_times_nat)) % 11.74/11.99 (step @p373 :rule cong :premises (@p372 @p371) :args (@t242)) % 11.74/11.99 (step @p374 :rule eq_resolve :premises (@p126 @p373)) % 11.74/11.99 (step @p375 :rule refl :args (@t358)) % 11.74/11.99 (step @p376 :rule refl :args (@t359)) % 11.74/11.99 (step @p377 :rule cong :premises (@p376 @p375) :args ((= @t359 @t358))) % 11.74/11.99 (step @p378 :rule symm :premises (@p377)) % 11.74/11.99 (step @p379 :rule eq_resolve :premises (@p376 @p378)) % 11.74/11.99 (step @p380 :rule refl :args (@t360)) % 11.74/11.99 (step @p381 :rule cong :premises (@p380 @p379) :args (@t361)) % 11.74/11.99 (step @p382 :rule refl :args (@t362)) % 11.74/11.99 (step @p383 :rule cong :premises (@p382 @p381) :args (@t363)) % 11.74/11.99 ; WARNING: add trust step for TRUST % 11.74/11.99 ; trust TRUST THEORY_LEMMA % 11.74/11.99 (step @p384 :rule trust :premises () :args (@t363)) % 11.74/11.99 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 11.74/11.99 (step @p386 :rule implies_elim :premises (@p385)) % 11.74/11.99 (step @p387 :rule chain_m_resolution :premises (@p386 @p374) :args (@t364 @t352 (@list @t362))) % 11.74/11.99 (step @p388 :rule refl :args (@t365)) % 11.74/11.99 (step @p389 :rule refl :args (@t93)) % 11.74/11.99 (step @p390 :rule cong :premises (@p389 @p388) :args ((= @t93 @t365))) % 11.74/11.99 (step @p391 :rule symm :premises (@p390)) % 11.74/11.99 (step @p392 :rule eq_resolve :premises (@p389 @p391)) % 11.74/11.99 (step @p393 :rule refl :args (@t366)) % 11.74/11.99 (step @p394 :rule refl :args (@t94)) % 11.74/11.99 (step @p395 :rule cong :premises (@p394 @p393) :args ((= @t94 @t366))) % 11.74/11.99 (step @p396 :rule symm :premises (@p395)) % 11.74/11.99 (step @p397 :rule eq_resolve :premises (@p394 @p396)) % 11.74/11.99 (step @p398 :rule refl :args (@t91)) % 11.74/11.99 (step @p399 :rule nary_cong :premises (@p398 @p397 @p392) :args (@t367)) % 11.74/11.99 (step @p400 :rule cong :premises (@p399) :args ((forall @t92 @t367))) % 11.74/11.99 (step @p401 :rule aci_norm :args ((= (or @t91 (or @t94 @t93)) @t367))) % 11.74/11.99 (step @p402 :rule bool-double-not-elim :args (@t94)) % 11.74/11.99 (step @p403 :rule 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(step @p462 :rule cong :premises (@p461) :args ((forall @t206 @t381))) % 11.74/11.99 (step @p463 :rule refl :args (@t379)) % 11.74/11.99 (step @p464 :rule bool-double-not-elim :args (@t380)) % 11.74/11.99 (step @p465 :rule nary_cong :premises (@p464 @p463) :args ((or (not @t382) @t379))) % 11.74/11.99 (step @p466 :rule bool-impl-elim :args (@t382 @t379)) % 11.74/11.99 (step @p467 :rule trans :premises (@p466 @p465)) % 11.74/11.99 (step @p468 :rule cong :premises (@p467) :args ((forall @t206 (=> @t382 @t379)))) % 11.74/11.99 (step @p469 :rule trans :premises (@p468 @p462)) % 11.74/11.99 (step @p470 :rule eq-symm :args (@t202 @t54)) % 11.74/11.99 (step @p471 :rule eq-symm :args (@t70 tptp.zero_zero_nat)) % 11.74/11.99 (step @p472 :rule cong :premises (@p471) :args (@t204)) % 11.74/11.99 (step @p473 :rule cong :premises (@p472 @p470) :args (@t205)) % 11.74/11.99 (step @p474 :rule cong :premises (@p473) :args (@t207)) % 11.74/11.99 (step @p475 :rule trans :premises (@p474 @p469)) % 11.74/11.99 (step @p476 :rule eq_resolve :premises (@p95 @p475)) % 11.74/11.99 (step @p477 :rule instantiate :premises (@p476) :args (@t356)) % 11.74/11.99 (step @p478 :rule symm :premises (@p171)) % 11.74/11.99 (step @p479 :rule cnf_or_pos :args (@t386)) % 11.74/11.99 (step @p480 :rule reordering :premises (@p479) :args ((or @t385 @t384 (not @t386)))) % 11.74/11.99 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p477) :args (@t384 @t387 (@list @t385 @t386))) % 11.74/11.99 (step @p482 :rule refl :args (@t390)) % 11.74/11.99 (step @p483 :rule refl :args ((tptp.divide_divide_nat @t359 tptp.k))) % 11.74/11.99 (step @p484 :rule cong :premises (@p375 @p182) :args (@t391)) % 11.74/11.99 (step @p485 :rule trans :premises (@p484 @p483)) % 11.74/11.99 (step @p486 :rule ho_cong :premises (@p186 @p375)) % 11.74/11.99 (step @p487 :rule ho_cong :premises (@p486 @p182)) % 11.74/11.99 (step @p488 :rule cong :premises (@p487 @p485) :args ((= @t392 @t391))) % 11.74/11.99 (step @p489 :rule 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:rule cong :premises (@p503 @p487) :args ((= @t397 @t392))) % 11.74/11.99 (step @p505 :rule symm :premises (@p504)) % 11.74/11.99 (step @p506 :rule eq_resolve :premises (@p490 @p505)) % 11.74/11.99 (step @p507 :rule refl :args (@t392)) % 11.74/11.99 (step @p508 :rule cong :premises (@p507 @p506) :args (@t398)) % 11.74/11.99 (step @p509 :rule trans :premises (@p508 @p500)) % 11.74/11.99 (step @p510 :rule eq-refl :args (@t388)) % 11.74/11.99 (step @p511 :rule nary_cong :premises (@p510 @p509) :args ((and (= @t388 @t388) @t398))) % 11.74/11.99 (step @p512 :rule trans :premises (@p511 @p499)) % 11.74/11.99 (step @p513 :rule skolem_intro :args (@t389)) % 11.74/11.99 (step @p514 :rule ho_cong :premises (@p513 @p193)) % 11.74/11.99 (step @p515 :rule cong :premises (@p507 @p514) :args (@t394)) % 11.74/11.99 (step @p516 :rule refl :args (@t388)) % 11.74/11.99 (step @p517 :rule cong :premises (@p516 @p513) :args (@t395)) % 11.74/11.99 (step @p518 :rule nary_cong :premises (@p517 @p515) :args 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@p548 :rule refl :args (@t314)) % 11.74/11.99 (step @p549 :rule cong :premises (@p548 @p545) :args (@t402)) % 11.74/11.99 (step @p550 :rule nary_cong :premises (@p549 @p547) :args (@t403)) % 11.74/11.99 (step @p551 :rule trans :premises (@p530 @p550 @p544)) % 11.74/11.99 (step @p552 :rule true_elim :premises (@p551)) % 11.74/11.99 (step @p553 :rule eq_resolve :premises (@p552 @p531)) % 11.74/11.99 (step @p554 :rule and_elim :premises (@p553) :args (0)) % 11.74/11.99 (step @p555 :rule and_elim :premises (@p553) :args (1)) % 11.74/11.99 (assume-push @p1149 @t406) % 11.74/11.99 (assume-push @p1150 @t364) % 11.74/11.99 (assume-push @p1151 @t384) % 11.74/11.99 (assume-push @p1152 @t373) % 11.74/11.99 (assume-push @p1153 @t395) % 11.74/11.99 (assume-push @p1154 @t402) % 11.74/11.99 (assume-push @p1155 @t407) % 11.74/11.99 (assume-push @p1156 @t408) % 11.74/11.99 (assume-push @p1157 @t406) % 11.74/11.99 (assume-push @p1158 @t408) % 11.74/11.99 (assume-push @p1159 @t402) % 11.74/11.99 (assume-push @p1160 @t373) % 11.74/11.99 (assume-push @p1161 @t364) % 11.74/11.99 (assume-push @p1162 @t395) % 11.74/11.99 (assume-push @p1163 @t407) % 11.74/11.99 (assume-push @p1164 @t384) % 11.74/11.99 (step @p572 :rule symm :premises (@p204)) % 11.74/11.99 (step @p573 :rule symm :premises (@p555)) % 11.74/11.99 (step @p574 :rule symm :premises (@p1152)) % 11.74/11.99 (step @p575 :rule ho_cong :premises (@p198 @p574)) % 11.74/11.99 (step @p576 :rule symm :premises (@p387)) % 11.74/11.99 (step @p577 :rule ho_cong :premises (@p198 @p576)) % 11.74/11.99 (step @p578 :rule trans :premises (@p513 @p577 @p575 @p554)) % 11.74/11.99 (step @p579 :rule ho_cong :premises (@p578 @p193)) % 11.74/11.99 (step @p580 :rule cong :premises (@p387 @p193) :args (@t383)) % 11.74/11.99 (step @p581 :rule trans :premises (@p481 @p580 @p523 @p579 @p573 @p572)) % 11.74/11.99 (step-pop @p1165 :rule scope :premises (@p581)) % 11.74/11.99 (step-pop @p1166 :rule scope :premises (@p1165)) % 11.74/11.99 (step-pop @p1167 :rule scope :premises (@p1166)) % 11.74/11.99 (step-pop @p1168 :rule scope :premises (@p1167)) % 11.74/11.99 (step-pop @p1169 :rule scope :premises (@p1168)) % 11.74/11.99 (step-pop @p1170 :rule scope :premises (@p1169)) % 11.74/11.99 (step-pop @p1171 :rule scope :premises (@p1170)) % 11.74/11.99 (step-pop @p1172 :rule scope :premises (@p1171)) % 11.74/11.99 (step @p582 :rule process_scope :premises (@p1172) :args (@t409)) % 11.74/11.99 (step @p591 :rule and_intro :premises (@p204 @p555 @p554 @p1152 @p387 @p522 @p523 @p481)) % 11.74/11.99 (step @p592 :rule modus_ponens :premises (@p591 @p582)) % 11.74/11.99 (step-pop @p1173 :rule scope :premises (@p592)) % 11.74/11.99 (step-pop @p1174 :rule scope :premises (@p1173)) % 11.74/11.99 (step-pop @p1175 :rule scope :premises (@p1174)) % 11.74/11.99 (step-pop @p1176 :rule scope :premises (@p1175)) % 11.74/11.99 (step-pop @p1177 :rule scope :premises (@p1176)) % 11.74/11.99 (step-pop @p1178 :rule scope :premises (@p1177)) % 11.74/11.99 (step-pop @p1179 :rule scope :premises (@p1178)) % 11.74/11.99 (step-pop @p1180 :rule scope :premises (@p1179)) % 11.74/11.99 (step @p593 :rule process_scope :premises (@p1180) :args (@t409)) % 11.74/11.99 (step @p602 :rule implies_elim :premises (@p593)) % 11.74/11.99 (step @p603 :rule cnf_and_neg :args (@t410)) % 11.74/11.99 (step @p604 :rule resolution :premises (@p603 @p602) :args (true @t410)) % 11.74/11.99 (step @p605 :rule reordering :premises (@p604) :args ((or @t414 @t413 @t409 @t412 @t411 (not @t395) (not @t407) (not @t402) (not @t408)))) % 11.74/11.99 (step @p606 :rule chain_m_resolution :premises (@p605 @p555 @p554 @p523 @p522 @p481 @p439 @p387 @p204) :args (@t412 (@list false false false false false true false false) (@list @t408 @t402 @t407 @t395 @t384 @t409 @t364 @t406))) % 11.74/11.99 (step @p607 :rule refl :args ((tptp.ord_less_nat @t305 @t301))) % 11.74/11.99 (step @p608 :rule refl :args (@t360)) % 11.74/11.99 (step @p609 :rule cong :premises (@p608 @p183) :args 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:rule cong :premises (@p1061 @p1044) :args ((= (_ tptp.suc @t323) @t509))) % 11.74/11.99 (step @p1063 :rule symm :premises (@p1062)) % 11.74/11.99 (step @p1064 :rule refl :args (@t210)) % 11.74/11.99 (step @p1065 :rule eq_resolve :premises (@p1064 @p1063)) % 11.74/11.99 (step @p1066 :rule ho_cong :premises (@p1060 @p248)) % 11.74/11.99 (step @p1067 :rule trans :premises (@p1066 @p1065)) % 11.74/11.99 (step @p1068 :rule ho_cong :premises (@p220 @p1067)) % 11.74/11.99 (step @p1069 :rule ho_cong :premises (@p1068 @p207)) % 11.74/11.99 (step @p1070 :rule trans :premises (@p1069 @p1059)) % 11.74/11.99 (step @p1071 :rule ho_cong :premises (@p214 @p1070)) % 11.74/11.99 (step @p1072 :rule trans :premises (@p1071 @p1053)) % 11.74/11.99 (step @p1073 :rule nary_cong :premises (@p257 @p1072) :args (@t512)) % 11.74/11.99 (step @p1074 :rule cong :premises (@p1073) :args ((forall @t24 @t512))) % 11.74/11.99 (step @p1075 :rule bool-impl-elim :args (@t33 @t212)) % 11.74/11.99 (step @p1076 :rule cong :premises (@p1075) :args (@t213)) % 11.74/11.99 (step @p1077 :rule trans :premises (@p1076 @p1074)) % 11.74/11.99 (step @p1078 :rule eq_resolve :premises (@p97 @p1077)) % 11.74/11.99 (step @p1079 :rule instantiate :premises (@p1078) :args ((@list tptp.k @t360))) % 11.74/11.99 (step @p1080 :rule cnf_or_pos :args (@t514)) % 11.74/11.99 (step @p1081 :rule reordering :premises (@p1080) :args ((or @t348 @t513 (not @t514)))) % 11.74/11.99 (step @p1082 :rule chain_m_resolution :premises (@p1081 @p833 @p1079) :args (@t513 @t456 (@list @t347 @t514))) % 11.74/11.99 (assume-push @p1231 @t384) % 11.74/11.99 (assume-push @p1232 @t513) % 11.74/11.99 (assume-push @p1233 @t513) % 11.74/11.99 (assume-push @p1234 @t384) % 11.74/11.99 (step @p1087 :rule true_intro :premises (@p1232)) % 11.74/11.99 (step @p1088 :rule cong :premises (@p481) :args (@t313)) % 11.74/11.99 (step @p1089 :rule cong :premises (@p1088 @p193) :args (@t508)) % 11.74/11.99 (step @p1090 :rule cong :premises (@p380 @p1089) :args (@t515)) % 11.74/11.99 (step @p1091 :rule trans :premises (@p1090 @p1087)) % 11.74/11.99 (step @p1092 :rule true_elim :premises (@p1091)) % 11.74/11.99 (step-pop @p1235 :rule scope :premises (@p1092)) % 11.74/11.99 (step-pop @p1236 :rule scope :premises (@p1235)) % 11.74/11.99 (step @p1093 :rule process_scope :premises (@p1236) :args (@t515)) % 11.74/11.99 (step @p1096 :rule and_intro :premises (@p1232 @p481)) % 11.74/11.99 (step @p1097 :rule modus_ponens :premises (@p1096 @p1093)) % 11.74/11.99 (step-pop @p1237 :rule scope :premises (@p1097)) % 11.74/11.99 (step-pop @p1238 :rule scope :premises (@p1237)) % 11.74/11.99 (step @p1098 :rule process_scope :premises (@p1238) :args (@t515)) % 11.74/11.99 (step @p1101 :rule implies_elim :premises (@p1098)) % 11.74/11.99 (step @p1102 :rule cnf_and_neg :args (@t516)) % 11.74/11.99 (step @p1103 :rule resolution :premises (@p1102 @p1101) :args (true @t516)) % 11.74/11.99 (step @p1104 :rule reordering :premises (@p1103) :args ((or @t411 @t515 (not @t513)))) % 11.74/11.99 (step @p1105 :rule chain_m_resolution :premises (@p1104 @p481 @p1082) :args (@t515 @t456 (@list @t384 @t513))) % 11.74/11.99 (step @p1106 :rule cnf_or_pos :args (@t519)) % 11.74/11.99 (step @p1107 :rule reordering :premises (@p1106) :args ((or @t518 @t490 @t517 (not @t519)))) % 11.74/11.99 (step @p1108 :rule chain_m_resolution :premises (@p1107 @p1105 @p1039 @p1033) :args (@t517 (@list false false false) (@list @t515 @t489 @t519))) % 11.74/11.99 (step @p1109 :rule refl :args (@t520)) % 11.74/11.99 (step @p1110 :rule refl :args (@t493)) % 11.74/11.99 (step @p1111 :rule bool-double-not-elim :args (@t343)) % 11.74/11.99 (step @p1112 :rule refl :args (@t414)) % 11.74/11.99 (step @p1113 :rule nary_cong :premises (@p1112 @p1111 @p1110 @p1109) :args ((or @t414 (not @t344) @t493 @t520))) % 11.74/11.99 (assume-push @p1239 @t517) % 11.74/11.99 (assume-push @p1240 @t492) % 11.74/11.99 (assume-push @p1241 @t406) % 11.74/11.99 (assume-push @p1242 @t344) % 11.74/11.99 (step @p939 :rule evaluate :args (@t486)) % 11.74/11.99 (step @p1118 :rule true_intro :premises (@p1239)) % 11.74/11.99 (step @p1119 :rule cong :premises (@p572 @p193) :args (@t342)) % 11.74/11.99 (step @p1120 :rule cong :premises (@p1240 @p1119) :args (@t343)) % 11.74/11.99 (step @p1121 :rule false_intro :premises (@p1242)) % 11.74/11.99 (step @p1122 :rule symm :premises (@p1121)) % 11.74/11.99 (step @p1123 :rule trans :premises (@p1122 @p1120 @p1118)) % 11.74/11.99 (step @p1124 false :rule eq_resolve :premises (@p1123 @p939)) % 11.74/11.99 (step-pop @p1243 :rule scope :premises (@p1124)) % 11.74/11.99 (step-pop @p1244 :rule scope :premises (@p1243)) % 11.74/11.99 (step-pop @p1245 :rule scope :premises (@p1244)) % 11.74/11.99 (step-pop @p1246 :rule scope :premises (@p1245)) % 11.74/11.99 (step @p1125 :rule process_scope :premises (@p1246) :args (false)) % 11.74/11.99 (assume-push @p1247 @t406) % 11.74/11.99 (assume-push @p1248 @t344) % 11.74/11.99 (assume-push @p1249 @t492) % 11.74/11.99 (assume-push @p1250 @t517) % 11.74/11.99 (step @p1134 :rule and_intro :premises (@p1250 @p1249 @p204 @p1248)) % 11.74/11.99 (step-pop @p1251 :rule scope :premises (@p1134)) % 11.74/11.99 (step-pop @p1252 :rule scope :premises (@p1251)) % 11.74/11.99 (step-pop @p1253 :rule scope :premises (@p1252)) % 11.74/11.99 (step-pop @p1254 :rule scope :premises (@p1253)) % 11.74/11.99 (step @p1135 :rule process_scope :premises (@p1254) :args (@t521)) % 11.74/11.99 (step @p1140 :rule implies_elim :premises (@p1135)) % 11.74/11.99 (step @p1141 :rule resolution :premises (@p1140 @p1125) :args (true @t521)) % 11.74/11.99 (step @p1142 :rule not_and :premises (@p1141)) % 11.74/11.99 (step @p1143 :rule eq_resolve :premises (@p1142 @p1113)) % 11.74/11.99 (step @p1144 false :rule chain_m_resolution :premises (@p1143 @p1108 @p991 @p839 @p204) :args (false (@list false false true false) (@list @t517 @t492 @t343 @t406))) % 11.74/11.99 ) % 11.74/11.99 % SZS output end Proof % 11.74/11.99 % cvc5 exiting %------------------------------------------------------------------------------