%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW616_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:05:21 AM UTC 2026 % Result : Theorem 1.22s 1.89s % Output : Proof 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW616_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:19:26 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_ARI % 1.22/1.89 --- Run --finite-model-find --decision=internal at 45... % 1.22/1.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 1.22/1.89 % SZS status Theorem % 1.22/1.89 % SZS output start Proof % 1.22/1.89 ( % 1.22/1.89 (declare-sort tptp.map_int_int 0) % 1.22/1.89 (declare-sort tptp.array_int 0) % 1.22/1.89 (declare-sort tptp.tuple0 0) % 1.22/1.89 (declare-sort tptp.bool 0) % 1.22/1.89 (declare-sort tptp.ty 0) % 1.22/1.89 (declare-sort tptp.uni 0) % 1.22/1.89 (declare-const tptp.maxsublo (-> tptp.array_int Int Int Bool)) % 1.22/1.89 (declare-const tptp.sum1 (-> tptp.array_int Int Int Int)) % 1.22/1.89 (declare-const tptp.t2tb2 (-> tptp.array_int tptp.uni)) % 1.22/1.89 (declare-const tptp.maxsub (-> tptp.array_int Int Bool)) % 1.22/1.89 (declare-const tptp.div (-> Int Int Int)) % 1.22/1.89 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 1.22/1.89 (declare-const tptp.mk_array (-> tptp.ty Int tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.true tptp.bool) % 1.22/1.89 (declare-const tptp.abs (-> Int Int)) % 1.22/1.89 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.get1 (-> tptp.ty tptp.uni Int tptp.uni)) % 1.22/1.89 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 1.22/1.89 (declare-const tptp.sum (-> tptp.map_int_int Int Int Int)) % 1.22/1.89 (declare-const tptp.tuple02 tptp.tuple0) % 1.22/1.89 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 1.22/1.89 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 1.22/1.89 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.int tptp.ty) % 1.22/1.89 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 1.22/1.89 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 1.22/1.89 (declare-const tptp.t2tb (-> Int tptp.uni)) % 1.22/1.89 (declare-const tptp.tb2t (-> tptp.uni Int)) % 1.22/1.89 (declare-const tptp.tb2t2 (-> tptp.uni tptp.array_int)) % 1.22/1.89 (declare-const tptp.false tptp.bool) % 1.22/1.89 (declare-const tptp.set1 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.make (-> tptp.ty Int tptp.uni tptp.uni)) % 1.22/1.89 (declare-const tptp.t2tb1 (-> tptp.map_int_int tptp.uni)) % 1.22/1.89 (declare-const tptp.mod (-> Int Int Int)) % 1.22/1.89 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_int_int)) % 1.22/1.89 (define @t1 () (@var "A" tptp.ty)) % 1.22/1.89 (define @t2 () (@var "X2" tptp.uni)) % 1.22/1.89 (define @t3 () (@var "X1" tptp.uni)) % 1.22/1.89 (define @t4 () (@var "X" tptp.bool)) % 1.22/1.89 (define @t5 () (@var "Z" tptp.uni)) % 1.22/1.89 (define @t6 () (@var "Z1" tptp.uni)) % 1.22/1.89 (define @t7 () (@list @t1 @t5 @t6)) % 1.22/1.89 (define @t8 () (@var "U" tptp.bool)) % 1.22/1.89 (define @t9 () (@var "U" tptp.tuple0)) % 1.22/1.89 (define @t10 () (@var "Z" Int)) % 1.22/1.89 (define @t11 () (@var "Y" Int)) % 1.22/1.89 (define @t12 () (@var "X" Int)) % 1.22/1.89 (define @t13 () (<= 0 @t10)) % 1.22/1.89 (define @t14 () (<= @t12 @t11)) % 1.22/1.89 (define @t15 () (@list @t12 @t11 @t10)) % 1.22/1.89 (define @t16 () (@var "X" tptp.uni)) % 1.22/1.89 (define @t17 () (tptp.ref @t1)) % 1.22/1.89 (define @t18 () (@list @t1 @t16)) % 1.22/1.89 (define @t19 () (@var "U" tptp.uni)) % 1.22/1.89 (define @t20 () (@list @t1 @t19)) % 1.22/1.89 (define @t21 () (tptp.abs @t12)) % 1.22/1.89 (define @t22 () (<= 0 @t12)) % 1.22/1.89 (define @t23 () (@list @t12)) % 1.22/1.89 (define @t24 () (@list @t12 @t11)) % 1.22/1.89 (define @t25 () (tptp.mod @t12 @t11)) % 1.22/1.89 (define @t26 () (tptp.div @t12 @t11)) % 1.22/1.89 (define @t27 () (not (= @t11 0))) % 1.22/1.89 (define @t28 () (<= 0 @t26)) % 1.22/1.89 (define @t29 () (< 0 @t11)) % 1.22/1.89 (define @t30 () (and @t22 @t29)) % 1.22/1.89 (define @t31 () (tptp.abs @t11)) % 1.22/1.89 (define @t32 () (<= @t12 0)) % 1.22/1.89 (define @t33 () (and @t22 (< @t12 @t11))) % 1.22/1.89 (define @t34 () (+ (* @t12 @t11) @t10)) % 1.22/1.89 (define @t35 () (and (< 0 @t12) (<= 0 @t11) @t13)) % 1.22/1.89 (define @t36 () (@var "B" tptp.ty)) % 1.22/1.89 (define @t37 () (tptp.map @t1 @t36)) % 1.22/1.89 (define @t38 () (@var "B1" tptp.uni)) % 1.22/1.89 (define @t39 () (@var "A2" tptp.uni)) % 1.22/1.89 (define @t40 () (@var "A1" tptp.uni)) % 1.22/1.89 (define @t41 () (@var "M" tptp.uni)) % 1.22/1.89 (define @t42 () (tptp.get @t36 @t1 (tptp.set @t36 @t1 @t41 @t40 @t38) @t39)) % 1.22/1.89 (define @t43 () (= @t40 @t39)) % 1.22/1.89 (define @t44 () (tptp.sort @t36 @t38)) % 1.22/1.89 (define @t45 () (tptp.array @t1)) % 1.22/1.89 (define @t46 () (@list @t1 @t12 @t3)) % 1.22/1.89 (define @t47 () (@var "U" Int)) % 1.22/1.89 (define @t48 () (@var "U1" tptp.uni)) % 1.22/1.89 (define @t49 () (tptp.mk_array @t1 @t47 @t48)) % 1.22/1.89 (define @t50 () (@list @t1 @t47 @t48)) % 1.22/1.89 (define @t51 () (tptp.map tptp.int @t1)) % 1.22/1.89 (define @t52 () (@var "X1" Int)) % 1.22/1.89 (define @t53 () (@var "I" Int)) % 1.22/1.89 (define @t54 () (tptp.t2tb @t53)) % 1.22/1.89 (define @t55 () (@var "J" tptp.uni)) % 1.22/1.89 (define @t56 () (@list @t55)) % 1.22/1.89 (define @t57 () (tptp.elts @t1 @t40)) % 1.22/1.89 (define @t58 () (@var "V" tptp.uni)) % 1.22/1.89 (define @t59 () (@var "N" Int)) % 1.22/1.89 (define @t60 () (@var "J" Int)) % 1.22/1.89 (define @t61 () (@var "C" tptp.map_int_int)) % 1.22/1.89 (define @t62 () (tptp.sum @t61 @t53 @t60)) % 1.22/1.89 (define @t63 () (@list @t61 @t53 @t60)) % 1.22/1.89 (define @t64 () (@var "X" tptp.map_int_int)) % 1.22/1.89 (define @t65 () (@var "I" tptp.map_int_int)) % 1.22/1.89 (define @t66 () (tptp.t2tb1 @t61)) % 1.22/1.89 (define @t67 () (< @t53 @t60)) % 1.22/1.89 (define @t68 () (- @t60 1)) % 1.22/1.89 (define @t69 () (@var "K" Int)) % 1.22/1.89 (define @t70 () (= @t62 (+ (tptp.sum @t61 @t53 @t69) (tptp.sum @t61 @t69 @t60)))) % 1.22/1.89 (define @t71 () (<= @t53 @t69)) % 1.22/1.89 (define @t72 () (and @t71 (<= @t69 @t60))) % 1.22/1.89 (define @t73 () (=> @t72 @t70)) % 1.22/1.89 (define @t74 () (@list @t61 @t53 @t69 @t60)) % 1.22/1.89 (define @t75 () (forall @t74 @t73)) % 1.22/1.89 (define @t76 () (@var "C2" tptp.map_int_int)) % 1.22/1.89 (define @t77 () (@var "C1" tptp.map_int_int)) % 1.22/1.89 (define @t78 () (tptp.t2tb @t69)) % 1.22/1.89 (define @t79 () (@var "X" tptp.array_int)) % 1.22/1.89 (define @t80 () (@var "I" tptp.array_int)) % 1.22/1.89 (define @t81 () (@var "H" Int)) % 1.22/1.89 (define @t82 () (@var "L" Int)) % 1.22/1.89 (define @t83 () (@var "A" tptp.array_int)) % 1.22/1.89 (define @t84 () (tptp.t2tb2 @t83)) % 1.22/1.89 (define @t85 () (tptp.sum1 @t83 @t82 @t81)) % 1.22/1.89 (define @t86 () (@var "S" Int)) % 1.22/1.89 (define @t87 () (<= @t85 @t86)) % 1.22/1.89 (define @t88 () (<= @t81 (tptp.length tptp.int @t84))) % 1.22/1.89 (define @t89 () (<= @t82 @t81)) % 1.22/1.89 (define @t90 () (@var "Maxlo" Int)) % 1.22/1.89 (define @t91 () (<= 0 @t82)) % 1.22/1.89 (define @t92 () (@list @t82 @t81)) % 1.22/1.89 (define @t93 () (@var "Ms" Int)) % 1.22/1.89 (define @t94 () (@var "Hqt" Int)) % 1.22/1.89 (define @t95 () (@var "Lqt" Int)) % 1.22/1.89 (define @t96 () (@var "A1" tptp.map_int_int)) % 1.22/1.89 (define @t97 () (tptp.sum @t96 @t95 @t94)) % 1.22/1.89 (define @t98 () (- @t81 @t82)) % 1.22/1.89 (define @t99 () (tptp.div @t98 2)) % 1.22/1.89 (define @t100 () (+ @t82 @t99)) % 1.22/1.89 (define @t101 () (<= @t94 @t100)) % 1.22/1.89 (define @t102 () (<= @t100 @t94)) % 1.22/1.89 (define @t103 () (<= @t95 @t100)) % 1.22/1.89 (define @t104 () (<= @t82 @t95)) % 1.22/1.89 (define @t105 () (and @t104 @t103 @t102 @t101)) % 1.22/1.89 (define @t106 () (=> @t105 (<= @t97 @t93))) % 1.22/1.89 (define @t107 () (@list @t95 @t94)) % 1.22/1.89 (define @t108 () (forall @t107 @t106)) % 1.22/1.89 (define @t109 () (- @t81 1)) % 1.22/1.89 (define @t110 () (<= @t100 @t109)) % 1.22/1.89 (define @t111 () (=> @t110 @t108)) % 1.22/1.89 (define @t112 () (@var "S1" Int)) % 1.22/1.89 (define @t113 () (= @t112 @t93)) % 1.22/1.89 (define @t114 () (=> @t113 @t111)) % 1.22/1.89 (define @t115 () (@list @t112)) % 1.22/1.89 (define @t116 () (forall @t115 @t114)) % 1.22/1.89 (define @t117 () (@var "Lo1" Int)) % 1.22/1.89 (define @t118 () (tptp.sum @t96 @t117 @t100)) % 1.22/1.89 (define @t119 () (tptp.sum @t96 @t95 @t100)) % 1.22/1.89 (define @t120 () (<= @t119 @t118)) % 1.22/1.89 (define @t121 () (and @t104 @t103)) % 1.22/1.89 (define @t122 () (=> @t121 @t120)) % 1.22/1.89 (define @t123 () (@list @t95)) % 1.22/1.89 (define @t124 () (forall @t123 @t122)) % 1.22/1.89 (define @t125 () (=> @t124 @t116)) % 1.22/1.89 (define @t126 () (- @t82 1)) % 1.22/1.89 (define @t127 () (+ @t126 1)) % 1.22/1.89 (define @t128 () (tptp.sum @t96 @t127 @t100)) % 1.22/1.89 (define @t129 () (= @t86 @t128)) % 1.22/1.89 (define @t130 () (<= @t119 @t93)) % 1.22/1.89 (define @t131 () (and (< @t126 @t95) @t103)) % 1.22/1.89 (define @t132 () (=> @t131 @t130)) % 1.22/1.89 (define @t133 () (forall @t123 @t132)) % 1.22/1.89 (define @t134 () (@var "Hi" Int)) % 1.22/1.89 (define @t135 () (tptp.sum @t96 @t117 @t134)) % 1.22/1.89 (define @t136 () (= @t93 @t135)) % 1.22/1.89 (define @t137 () (= @t100 @t134)) % 1.22/1.89 (define @t138 () (<= @t117 @t100)) % 1.22/1.89 (define @t139 () (and (<= @t82 @t117) @t138 @t137 @t136 @t133 @t129)) % 1.22/1.89 (define @t140 () (=> @t139 @t125)) % 1.22/1.89 (define @t141 () (@list @t86 @t93 @t117)) % 1.22/1.89 (define @t142 () (forall @t141 @t140)) % 1.22/1.89 (define @t143 () (- @t100 1)) % 1.22/1.89 (define @t144 () (<= @t82 @t143)) % 1.22/1.89 (define @t145 () (=> @t144 @t142)) % 1.22/1.89 (define @t146 () (= @t134 @t100)) % 1.22/1.89 (define @t147 () (=> @t146 @t145)) % 1.22/1.89 (define @t148 () (@list @t134)) % 1.22/1.89 (define @t149 () (forall @t148 @t147)) % 1.22/1.89 (define @t150 () (@var "Lo" Int)) % 1.22/1.89 (define @t151 () (= @t150 @t100)) % 1.22/1.89 (define @t152 () (=> @t151 @t149)) % 1.22/1.89 (define @t153 () (@list @t150)) % 1.22/1.89 (define @t154 () (forall @t153 @t152)) % 1.22/1.89 (define @t155 () (= @t81 @t82)) % 1.22/1.89 (define @t156 () (not @t155)) % 1.22/1.89 (define @t157 () (=> @t156 @t154)) % 1.22/1.89 (define @t158 () (@var "A" Int)) % 1.22/1.89 (define @t159 () (and (<= 0 @t158) @t91 @t89 (<= @t81 @t158))) % 1.22/1.89 (define @t160 () (=> @t159 @t157)) % 1.22/1.89 (define @t161 () (@list @t158 @t96 @t82 @t81)) % 1.22/1.89 (define @t162 () (forall @t161 @t160)) % 1.22/1.89 (define @t163 () (not @t162)) % 1.22/1.89 (define @t164 () (@var "BOUND_VARIABLE_8720" Int)) % 1.22/1.89 (define @t165 () (@var "BOUND_VARIABLE_8718" Int)) % 1.22/1.89 (define @t166 () (* -1 @t82)) % 1.22/1.89 (define @t167 () (+ @t166 @t81)) % 1.22/1.89 (define @t168 () (tptp.div @t167 2)) % 1.22/1.89 (define @t169 () (+ @t82 @t168)) % 1.22/1.89 (define @t170 () (@var "BOUND_VARIABLE_8716" Int)) % 1.22/1.89 (define @t171 () (tptp.sum @t96 @t170 @t169)) % 1.22/1.89 (define @t172 () (>= (+ @t171 (* -1 (tptp.sum @t96 @t165 @t164))) 0)) % 1.22/1.89 (define @t173 () (+ @t82 (* -1 @t164) @t168)) % 1.22/1.89 (define @t174 () (not (>= @t173 0))) % 1.22/1.89 (define @t175 () (>= @t173 1)) % 1.22/1.89 (define @t176 () (* -1 @t165)) % 1.22/1.89 (define @t177 () (not (>= (+ @t82 @t176 @t168) 0))) % 1.22/1.89 (define @t178 () (>= (+ @t82 @t176) 1)) % 1.22/1.89 (define @t179 () (tptp.sum @t96 @t95 @t169)) % 1.22/1.89 (define @t180 () (* -1 @t95)) % 1.22/1.89 (define @t181 () (+ @t82 @t180 @t168)) % 1.22/1.89 (define @t182 () (>= @t181 0)) % 1.22/1.89 (define @t183 () (not @t182)) % 1.22/1.89 (define @t184 () (+ @t82 @t180)) % 1.22/1.89 (define @t185 () (>= @t184 1)) % 1.22/1.89 (define @t186 () (not (forall @t123 (or @t185 @t183 (not (>= (+ @t179 (* -1 @t171)) 1)))))) % 1.22/1.89 (define @t187 () (* -1 @t170)) % 1.22/1.89 (define @t188 () (not (>= (+ @t82 @t187 @t168) 0))) % 1.22/1.89 (define @t189 () (>= (+ @t82 @t187) 1)) % 1.22/1.89 (define @t190 () (* -1 @t81)) % 1.22/1.89 (define @t191 () (+ @t82 @t190 @t168)) % 1.22/1.89 (define @t192 () (>= @t191 0)) % 1.22/1.89 (define @t193 () (>= @t168 1)) % 1.22/1.89 (define @t194 () (not @t193)) % 1.22/1.89 (define @t195 () (= @t82 @t81)) % 1.22/1.89 (define @t196 () (+ @t82 @t190)) % 1.22/1.89 (define @t197 () (>= @t196 1)) % 1.22/1.89 (define @t198 () (>= @t82 0)) % 1.22/1.89 (define @t199 () (not @t198)) % 1.22/1.89 (define @t200 () (or @t199 @t197 @t195 @t194 @t192 @t189 @t188 @t186 @t178 @t177 @t175 @t174 @t172)) % 1.22/1.89 (define @t201 () (+ -1 @t81)) % 1.22/1.89 (define @t202 () (* -1 0)) % 1.22/1.89 (define @t203 () (@list @t158)) % 1.22/1.89 (define @t204 () (+ @t201 1)) % 1.22/1.89 (define @t205 () (ite (>= @t202 @t204) @t202 @t204)) % 1.22/1.89 (define @t206 () (+ @t205 1)) % 1.22/1.89 (define @t207 () (+ @t204 0)) % 1.22/1.89 (define @t208 () (>= @t201 @t205)) % 1.22/1.89 (define @t209 () (+ @t81 (* -1 @t158))) % 1.22/1.89 (define @t210 () (* -1 (- @t209 1))) % 1.22/1.89 (define @t211 () (>= @t209 1)) % 1.22/1.89 (define @t212 () (>= @t201 @t158)) % 1.22/1.89 (define @t213 () (>= @t158 0)) % 1.22/1.89 (define @t214 () (not @t211)) % 1.22/1.89 (define @t215 () (not @t213)) % 1.22/1.89 (define @t216 () (or @t215 @t211)) % 1.22/1.89 (define @t217 () (not @t216)) % 1.22/1.89 (define @t218 () (forall @t203 @t216)) % 1.22/1.89 (define @t219 () (or @t218 @t200)) % 1.22/1.89 (define @t220 () (or @t216 @t200)) % 1.22/1.89 (define @t221 () (or @t215 @t199 @t197 @t211 @t195 @t194 @t192 @t189 @t188 @t186 @t178 @t177 @t175 @t174 @t172)) % 1.22/1.89 (define @t222 () (forall @t203 @t221)) % 1.22/1.89 (define @t223 () (@list @t96 @t82 @t81 @t170 @t165 @t164)) % 1.22/1.89 (define @t224 () (forall @t223 @t222)) % 1.22/1.89 (define @t225 () (forall (@list @t96 @t82 @t81 @t170 @t165 @t164 @t158) @t221)) % 1.22/1.89 (define @t226 () (@list @t158 @t96 @t82 @t81 @t170 @t165 @t164)) % 1.22/1.89 (define @t227 () (or @t189 @t188 @t186 @t178 @t177 @t175 @t174 @t172)) % 1.22/1.89 (define @t228 () (or @t215 @t199 @t197 @t211 @t195 @t194 @t192 @t227)) % 1.22/1.89 (define @t229 () (forall @t226 @t228)) % 1.22/1.89 (define @t230 () (@list @t170 @t165 @t164)) % 1.22/1.89 (define @t231 () (forall @t230 @t228)) % 1.22/1.89 (define @t232 () (forall @t230 @t227)) % 1.22/1.89 (define @t233 () (@var "BOUND_VARIABLE_8620" Int)) % 1.22/1.89 (define @t234 () (@var "BOUND_VARIABLE_8618" Int)) % 1.22/1.89 (define @t235 () (@var "BOUND_VARIABLE_8616" Int)) % 1.22/1.89 (define @t236 () (@list @t235 @t234 @t233)) % 1.22/1.89 (define @t237 () (or @t215 @t199 @t197 @t211 @t195 @t194 @t192 @t232)) % 1.22/1.89 (define @t238 () (* -1 (tptp.sum @t96 @t234 @t233))) % 1.22/1.89 (define @t239 () (tptp.sum @t96 @t235 @t169)) % 1.22/1.89 (define @t240 () (>= (+ @t239 @t238) 0)) % 1.22/1.89 (define @t241 () (+ @t82 (* -1 @t233) @t168)) % 1.22/1.89 (define @t242 () (not (>= @t241 0))) % 1.22/1.89 (define @t243 () (>= @t241 1)) % 1.22/1.89 (define @t244 () (* -1 @t234)) % 1.22/1.89 (define @t245 () (not (>= (+ @t82 @t244 @t168) 0))) % 1.22/1.89 (define @t246 () (>= (+ @t82 @t244) 1)) % 1.22/1.89 (define @t247 () (not (forall @t123 (or @t185 @t183 (not (>= (+ @t179 (* -1 @t239)) 1)))))) % 1.22/1.89 (define @t248 () (* -1 @t235)) % 1.22/1.89 (define @t249 () (not (>= (+ @t82 @t248 @t168) 0))) % 1.22/1.89 (define @t250 () (>= (+ @t82 @t248) 1)) % 1.22/1.89 (define @t251 () (or @t250 @t249 @t247 @t246 @t245 @t243 @t242 @t240)) % 1.22/1.89 (define @t252 () (@list @t235 @t234 @t233)) % 1.22/1.89 (define @t253 () (forall @t252 @t251)) % 1.22/1.89 (define @t254 () (or @t215 @t199 @t197 @t211 @t195 @t194 @t192 @t253)) % 1.22/1.89 (define @t255 () (or @t195 @t194 @t192 @t253)) % 1.22/1.89 (define @t256 () (or @t194 @t192 @t253)) % 1.22/1.89 (define @t257 () (not @t195)) % 1.22/1.89 (define @t258 () (not @t214)) % 1.22/1.89 (define @t259 () (not @t197)) % 1.22/1.89 (define @t260 () (not @t259)) % 1.22/1.89 (define @t261 () (or @t215 @t199 @t260 @t258)) % 1.22/1.89 (define @t262 () (=> @t257 @t256)) % 1.22/1.89 (define @t263 () (and @t213 @t198 @t259 @t214)) % 1.22/1.89 (define @t264 () (* -1 @t168)) % 1.22/1.89 (define @t265 () (+ @t168 @t264 @t82)) % 1.22/1.89 (define @t266 () (* 1 @t168)) % 1.22/1.89 (define @t267 () (+ @t82 @t266)) % 1.22/1.89 (define @t268 () (+ @t267 @t264)) % 1.22/1.89 (define @t269 () (= @t82 @t268)) % 1.22/1.89 (define @t270 () (not @t269)) % 1.22/1.89 (define @t271 () (+ @t150 @t264)) % 1.22/1.89 (define @t272 () (= @t82 @t271)) % 1.22/1.89 (define @t273 () (not @t272)) % 1.22/1.89 (define @t274 () (= @t150 @t267)) % 1.22/1.89 (define @t275 () (* -1 (- @t82 @t271))) % 1.22/1.89 (define @t276 () (or @t273 @t273)) % 1.22/1.89 (define @t277 () (forall @t153 @t273)) % 1.22/1.89 (define @t278 () (or @t194 @t192 @t253 @t277)) % 1.22/1.89 (define @t279 () (or @t194 @t192 @t253 @t273)) % 1.22/1.89 (define @t280 () (or @t273 @t194 @t192 @t253)) % 1.22/1.89 (define @t281 () (tptp.sum @t96 @t235 @t267)) % 1.22/1.89 (define @t282 () (+ @t281 @t238)) % 1.22/1.89 (define @t283 () (>= @t282 0)) % 1.22/1.89 (define @t284 () (* -1 @t281)) % 1.22/1.89 (define @t285 () (+ @t179 @t284)) % 1.22/1.89 (define @t286 () (>= @t285 1)) % 1.22/1.89 (define @t287 () (not @t286)) % 1.22/1.89 (define @t288 () (or @t185 @t183 @t287)) % 1.22/1.89 (define @t289 () (forall @t123 @t288)) % 1.22/1.89 (define @t290 () (not @t289)) % 1.22/1.89 (define @t291 () (or @t270 @t250 @t249 @t290 @t247 @t246 @t245 @t243 @t242 @t283)) % 1.22/1.89 (define @t292 () (tptp.sum @t96 @t235 @t134)) % 1.22/1.89 (define @t293 () (>= (+ @t292 @t238) 0)) % 1.22/1.89 (define @t294 () (+ @t179 (* -1 @t292))) % 1.22/1.89 (define @t295 () (not (forall @t123 (or @t185 @t183 (not (>= @t294 1)))))) % 1.22/1.89 (define @t296 () (+ @t134 @t264)) % 1.22/1.89 (define @t297 () (= @t82 @t296)) % 1.22/1.89 (define @t298 () (not @t297)) % 1.22/1.89 (define @t299 () (= @t134 @t267)) % 1.22/1.89 (define @t300 () (- @t82 @t296)) % 1.22/1.89 (define @t301 () (* -1 @t300)) % 1.22/1.89 (define @t302 () (or @t298 @t298 @t250 @t249 @t295 @t247 @t246 @t245 @t243 @t242 @t293)) % 1.22/1.89 (define @t303 () (or @t298 @t250 @t249 @t295 @t247 @t246 @t245 @t243 @t242 @t293)) % 1.22/1.89 (define @t304 () (forall @t148 @t303)) % 1.22/1.89 (define @t305 () (forall @t252 @t304)) % 1.22/1.89 (define @t306 () (forall (@list @t235 @t234 @t233 @t134) @t303)) % 1.22/1.89 (define @t307 () (@list @t134 @t235 @t234 @t233)) % 1.22/1.89 (define @t308 () (* -1 @t179)) % 1.22/1.89 (define @t309 () (+ @t308 @t292)) % 1.22/1.89 (define @t310 () (+ @t294 1)) % 1.22/1.89 (define @t311 () (+ @t292 @t308)) % 1.22/1.89 (define @t312 () (>= @t311 0)) % 1.22/1.89 (define @t313 () (or @t185 @t183 @t312)) % 1.22/1.89 (define @t314 () (forall @t123 @t313)) % 1.22/1.89 (define @t315 () (not @t314)) % 1.22/1.89 (define @t316 () (or @t298 @t250 @t249 @t315 @t247 @t246 @t245 @t243 @t242 @t293)) % 1.22/1.89 (define @t317 () (or @t250 @t249 @t315 @t247 @t246 @t245 @t243 @t242 @t293)) % 1.22/1.89 (define @t318 () (or @t298 @t317)) % 1.22/1.89 (define @t319 () (forall @t307 @t318)) % 1.22/1.89 (define @t320 () (forall @t252 @t318)) % 1.22/1.89 (define @t321 () (forall @t252 @t317)) % 1.22/1.89 (define @t322 () (@var "BOUND_VARIABLE_8564" Int)) % 1.22/1.89 (define @t323 () (@var "BOUND_VARIABLE_8562" Int)) % 1.22/1.89 (define @t324 () (or @t298 @t321)) % 1.22/1.89 (define @t325 () (* -1 (tptp.sum @t96 @t323 @t322))) % 1.22/1.89 (define @t326 () (>= (+ @t135 @t325) 0)) % 1.22/1.89 (define @t327 () (+ @t82 (* -1 @t322) @t168)) % 1.22/1.89 (define @t328 () (not (>= @t327 0))) % 1.22/1.89 (define @t329 () (>= @t327 1)) % 1.22/1.89 (define @t330 () (* -1 @t323)) % 1.22/1.89 (define @t331 () (not (>= (+ @t82 @t330 @t168) 0))) % 1.22/1.89 (define @t332 () (>= (+ @t82 @t330) 1)) % 1.22/1.89 (define @t333 () (tptp.sum @t96 @t117 @t169)) % 1.22/1.89 (define @t334 () (+ @t179 (* -1 @t333))) % 1.22/1.89 (define @t335 () (>= @t334 1)) % 1.22/1.89 (define @t336 () (not @t335)) % 1.22/1.89 (define @t337 () (or @t185 @t183 @t336)) % 1.22/1.89 (define @t338 () (forall @t123 @t337)) % 1.22/1.89 (define @t339 () (not @t338)) % 1.22/1.89 (define @t340 () (not (forall @t123 (or @t185 @t183 (>= (+ @t135 @t308) 0))))) % 1.22/1.89 (define @t341 () (* -1 @t117)) % 1.22/1.89 (define @t342 () (+ @t82 @t341 @t168)) % 1.22/1.89 (define @t343 () (>= @t342 0)) % 1.22/1.89 (define @t344 () (not @t343)) % 1.22/1.89 (define @t345 () (+ @t82 @t341)) % 1.22/1.89 (define @t346 () (>= @t345 1)) % 1.22/1.89 (define @t347 () (or @t346 @t344 @t340 @t339 @t332 @t331 @t329 @t328 @t326)) % 1.22/1.89 (define @t348 () (@list @t117 @t323 @t322)) % 1.22/1.89 (define @t349 () (forall @t348 @t347)) % 1.22/1.89 (define @t350 () (or @t298 @t349)) % 1.22/1.89 (define @t351 () (forall @t148 @t350)) % 1.22/1.89 (define @t352 () (or @t194 @t192 @t351)) % 1.22/1.89 (define @t353 () (or @t194 @t192 @t350)) % 1.22/1.89 (define @t354 () (or @t298 @t194 @t192 @t349)) % 1.22/1.89 (define @t355 () (or @t194 @t298 @t192 @t349)) % 1.22/1.89 (define @t356 () (or @t298 @t192 @t349)) % 1.22/1.89 (define @t357 () (=> @t193 @t356)) % 1.22/1.89 (define @t358 () (tptp.sum @t96 @t82 @t169)) % 1.22/1.89 (define @t359 () (not (= @t358 @t358))) % 1.22/1.89 (define @t360 () (= @t86 @t358)) % 1.22/1.89 (define @t361 () (not @t360)) % 1.22/1.89 (define @t362 () (or @t361 @t361)) % 1.22/1.89 (define @t363 () (@list @t86)) % 1.22/1.89 (define @t364 () (forall @t363 @t361)) % 1.22/1.89 (define @t365 () (not (= @t135 @t135))) % 1.22/1.89 (define @t366 () (or @t346 @t344 @t365 @t340 @t339 @t332 @t331 @t329 @t328 @t326)) % 1.22/1.89 (define @t367 () (>= (+ @t93 @t325) 0)) % 1.22/1.89 (define @t368 () (+ @t93 @t308)) % 1.22/1.89 (define @t369 () (>= @t368 0)) % 1.22/1.89 (define @t370 () (or @t185 @t183 @t369)) % 1.22/1.89 (define @t371 () (forall @t123 @t370)) % 1.22/1.89 (define @t372 () (not @t371)) % 1.22/1.89 (define @t373 () (not @t136)) % 1.22/1.89 (define @t374 () (or @t373 @t346 @t344 @t373 @t372 @t339 @t332 @t331 @t329 @t328 @t367)) % 1.22/1.89 (define @t375 () (@list @t93)) % 1.22/1.89 (define @t376 () (or @t346 @t344 @t373 @t372 @t339 @t332 @t331 @t329 @t328 @t367)) % 1.22/1.89 (define @t377 () (forall @t375 @t376)) % 1.22/1.89 (define @t378 () (forall @t348 @t377)) % 1.22/1.89 (define @t379 () (forall (@list @t117 @t323 @t322 @t93) @t376)) % 1.22/1.89 (define @t380 () (@list @t93 @t117 @t323 @t322)) % 1.22/1.89 (define @t381 () (or @t332 @t331 @t329 @t328 @t367)) % 1.22/1.89 (define @t382 () (or @t346 @t344 @t373 @t372 @t339 @t381)) % 1.22/1.89 (define @t383 () (forall @t380 @t382)) % 1.22/1.89 (define @t384 () (@list @t323 @t322)) % 1.22/1.89 (define @t385 () (forall @t384 @t382)) % 1.22/1.89 (define @t386 () (@list @t93 @t117)) % 1.22/1.89 (define @t387 () (forall @t384 @t381)) % 1.22/1.89 (define @t388 () (or @t346 @t344 @t373 @t372 @t339 @t387)) % 1.22/1.89 (define @t389 () (+ @t93 (* -1 @t97))) % 1.22/1.89 (define @t390 () (>= @t389 0)) % 1.22/1.89 (define @t391 () (+ @t82 (* -1 @t94) @t168)) % 1.22/1.89 (define @t392 () (>= @t391 0)) % 1.22/1.89 (define @t393 () (not @t392)) % 1.22/1.89 (define @t394 () (>= @t391 1)) % 1.22/1.89 (define @t395 () (or @t185 @t183 @t394 @t393 @t390)) % 1.22/1.89 (define @t396 () (forall @t107 @t395)) % 1.22/1.89 (define @t397 () (or @t346 @t344 @t373 @t372 @t339 @t396)) % 1.22/1.89 (define @t398 () (forall @t386 @t397)) % 1.22/1.89 (define @t399 () (or @t298 @t192 @t398 @t364)) % 1.22/1.89 (define @t400 () (or @t298 @t192 @t397 @t361)) % 1.22/1.89 (define @t401 () (@list @t93 @t117 @t86)) % 1.22/1.89 (define @t402 () (or @t346 @t344 @t298 @t373 @t372 @t361 @t339 @t192 @t396)) % 1.22/1.89 (define @t403 () (forall @t401 @t402)) % 1.22/1.89 (define @t404 () (or @t339 @t192 @t396)) % 1.22/1.89 (define @t405 () (or @t192 @t396)) % 1.22/1.89 (define @t406 () (not @t346)) % 1.22/1.89 (define @t407 () (not @t406)) % 1.22/1.89 (define @t408 () (or @t407 @t344 @t298 @t373 @t372 @t361)) % 1.22/1.89 (define @t409 () (=> @t338 @t405)) % 1.22/1.89 (define @t410 () (and @t406 @t343 @t297 @t136 @t371 @t360)) % 1.22/1.89 (define @t411 () (not (= @t93 @t93))) % 1.22/1.89 (define @t412 () (= @t93 @t112)) % 1.22/1.89 (define @t413 () (not @t412)) % 1.22/1.89 (define @t414 () (* 1 (- @t112 @t93))) % 1.22/1.89 (define @t415 () (* -1 (- @t93 @t112))) % 1.22/1.89 (define @t416 () (or @t413 @t413)) % 1.22/1.89 (define @t417 () (forall @t115 @t413)) % 1.22/1.89 (define @t418 () (or @t192 @t396 @t417)) % 1.22/1.89 (define @t419 () (or @t192 @t396 @t413)) % 1.22/1.89 (define @t420 () (or @t413 @t192 @t396)) % 1.22/1.89 (define @t421 () (not @t192)) % 1.22/1.89 (define @t422 () (=> @t421 @t396)) % 1.22/1.89 (define @t423 () (not @t394)) % 1.22/1.89 (define @t424 () (not @t423)) % 1.22/1.89 (define @t425 () (not @t185)) % 1.22/1.89 (define @t426 () (not @t425)) % 1.22/1.89 (define @t427 () (or @t426 @t183 @t424 @t393)) % 1.22/1.89 (define @t428 () (and @t425 @t182 @t423 @t392)) % 1.22/1.89 (define @t429 () (+ @t81 @t166)) % 1.22/1.89 (define @t430 () (+ @t94 1)) % 1.22/1.89 (define @t431 () (>= @t169 @t430)) % 1.22/1.89 (define @t432 () (* -1 (- @t184 1))) % 1.22/1.89 (define @t433 () (+ @t95 1)) % 1.22/1.89 (define @t434 () (>= @t82 @t433)) % 1.22/1.89 (define @t435 () (>= @t169 @t204)) % 1.22/1.89 (define @t436 () (* -1 1)) % 1.22/1.89 (define @t437 () (+ @t81 @t436)) % 1.22/1.89 (define @t438 () (or @t185 @t183)) % 1.22/1.89 (define @t439 () (and @t425 @t182)) % 1.22/1.89 (define @t440 () (not @t439)) % 1.22/1.89 (define @t441 () (+ @t333 1)) % 1.22/1.89 (define @t442 () (>= @t179 @t441)) % 1.22/1.89 (define @t443 () (+ -1 @t82)) % 1.22/1.89 (define @t444 () (+ @t82 @t436)) % 1.22/1.89 (define @t445 () (>= @t126 @t95)) % 1.22/1.89 (define @t446 () (+ @t117 1)) % 1.22/1.89 (define @t447 () (>= @t82 @t446)) % 1.22/1.89 (define @t448 () (+ -1 @t82 @t168)) % 1.22/1.89 (define @t449 () (+ @t99 @t82 -1)) % 1.22/1.89 (define @t450 () (+ @t100 @t436)) % 1.22/1.89 (define @t451 () (+ @t158 1)) % 1.22/1.89 (define @t452 () (>= @t81 @t451)) % 1.22/1.89 (define @t453 () (+ @t81 1)) % 1.22/1.89 (define @t454 () (>= @t82 @t453)) % 1.22/1.89 (define @t455 () (forall @t223 @t200)) % 1.22/1.89 (define @t456 () (@quantifiers_skolemize @t455 5)) % 1.22/1.89 (define @t457 () (@quantifiers_skolemize @t455 4)) % 1.22/1.89 (define @t458 () (@quantifiers_skolemize @t455 0)) % 1.22/1.89 (define @t459 () (tptp.sum @t458 @t457 @t456)) % 1.22/1.89 (define @t460 () (* -1 @t459)) % 1.22/1.89 (define @t461 () (@quantifiers_skolemize @t455 2)) % 1.22/1.89 (define @t462 () (@quantifiers_skolemize @t455 1)) % 1.22/1.89 (define @t463 () (* -1 @t462)) % 1.22/1.89 (define @t464 () (tptp.div (+ @t463 @t461) 2)) % 1.22/1.89 (define @t465 () (+ @t462 @t464)) % 1.22/1.89 (define @t466 () (@quantifiers_skolemize @t455 3)) % 1.22/1.89 (define @t467 () (tptp.sum @t458 @t466 @t465)) % 1.22/1.89 (define @t468 () (+ @t467 @t460)) % 1.22/1.89 (define @t469 () (>= @t468 0)) % 1.22/1.89 (define @t470 () (+ @t462 (* -1 @t456) @t464)) % 1.22/1.89 (define @t471 () (>= @t470 0)) % 1.22/1.89 (define @t472 () (not @t471)) % 1.22/1.89 (define @t473 () (>= @t470 1)) % 1.22/1.89 (define @t474 () (* -1 @t457)) % 1.22/1.89 (define @t475 () (+ @t462 @t474 @t464)) % 1.22/1.89 (define @t476 () (>= @t475 0)) % 1.22/1.89 (define @t477 () (not @t476)) % 1.22/1.89 (define @t478 () (+ @t462 @t474)) % 1.22/1.89 (define @t479 () (>= @t478 1)) % 1.22/1.89 (define @t480 () (* -1 @t467)) % 1.22/1.89 (define @t481 () (not (>= (+ (tptp.sum @t458 @t95 @t465) @t480) 1))) % 1.22/1.89 (define @t482 () (* -1 @t464)) % 1.22/1.89 (define @t483 () (+ @t95 @t463 @t482)) % 1.22/1.89 (define @t484 () (>= @t483 1)) % 1.22/1.89 (define @t485 () (+ @t95 @t463)) % 1.22/1.89 (define @t486 () (forall @t123 (or (not (>= @t485 0)) @t484 @t481))) % 1.22/1.89 (define @t487 () (not @t486)) % 1.22/1.89 (define @t488 () (* -1 @t466)) % 1.22/1.89 (define @t489 () (+ @t462 @t488 @t464)) % 1.22/1.89 (define @t490 () (>= @t489 0)) % 1.22/1.89 (define @t491 () (not @t490)) % 1.22/1.89 (define @t492 () (>= (+ @t462 @t488) 1)) % 1.22/1.89 (define @t493 () (* -1 @t461)) % 1.22/1.89 (define @t494 () (>= (+ @t462 @t493 @t464) 0)) % 1.22/1.89 (define @t495 () (not (>= @t464 1))) % 1.22/1.89 (define @t496 () (= @t462 @t461)) % 1.22/1.89 (define @t497 () (>= (+ @t462 @t493) 1)) % 1.22/1.89 (define @t498 () (not (>= @t462 0))) % 1.22/1.89 (define @t499 () (or @t498 @t497 @t496 @t495 @t494 @t492 @t491 @t487 @t479 @t477 @t473 @t472 @t469)) % 1.22/1.89 (define @t500 () (not @t499)) % 1.22/1.89 (define @t501 () (not @t455)) % 1.22/1.89 (define @t502 () (+ @t180 @t462 @t464)) % 1.22/1.89 (define @t503 () (+ @t483 1)) % 1.22/1.89 (define @t504 () (+ @t462 @t180 @t464)) % 1.22/1.89 (define @t505 () (>= @t504 0)) % 1.22/1.89 (define @t506 () (not @t505)) % 1.22/1.89 (define @t507 () (+ @t180 @t462)) % 1.22/1.89 (define @t508 () (+ @t485 1)) % 1.22/1.89 (define @t509 () (+ @t462 @t180)) % 1.22/1.89 (define @t510 () (>= @t509 1)) % 1.22/1.89 (define @t511 () (or @t510 @t506 @t481)) % 1.22/1.89 (define @t512 () (forall @t123 @t511)) % 1.22/1.89 (define @t513 () (not @t512)) % 1.22/1.89 (define @t514 () (or @t498 @t497 @t496 @t495 @t494 @t492 @t491 @t513 @t479 @t477 @t473 @t472 @t469)) % 1.22/1.89 (define @t515 () (not @t514)) % 1.22/1.89 (define @t516 () (@list true)) % 1.22/1.89 (define @t517 () (not @t469)) % 1.22/1.89 (define @t518 () (@list @t499)) % 1.22/1.89 (define @t519 () (not @t473)) % 1.22/1.89 (define @t520 () (+ @t456 @t482)) % 1.22/1.89 (define @t521 () (= @t462 @t520)) % 1.22/1.89 (define @t522 () (not @t521)) % 1.22/1.89 (define @t523 () (- @t462 @t520)) % 1.22/1.89 (define @t524 () (= @t470 0)) % 1.22/1.89 (define @t525 () (and @t522 @t519 @t471)) % 1.22/1.89 (define @t526 () (* -1 @t69)) % 1.22/1.89 (define @t527 () (+ @t60 @t526)) % 1.22/1.89 (define @t528 () (>= @t527 0)) % 1.22/1.89 (define @t529 () (not @t528)) % 1.22/1.89 (define @t530 () (+ @t53 @t526)) % 1.22/1.89 (define @t531 () (>= @t530 1)) % 1.22/1.89 (define @t532 () (or @t531 @t529 @t70)) % 1.22/1.89 (define @t533 () (not @t531)) % 1.22/1.89 (define @t534 () (and @t533 @t528)) % 1.22/1.89 (define @t535 () (+ @t69 1)) % 1.22/1.89 (define @t536 () (>= @t53 @t535)) % 1.22/1.89 (define @t537 () (tptp.sum @t458 @t465 @t465)) % 1.22/1.89 (define @t538 () (= @t537 0)) % 1.22/1.89 (define @t539 () (or @t491 @t538)) % 1.22/1.89 (define @t540 () (+ @t467 @t537)) % 1.22/1.89 (define @t541 () (= @t467 @t540)) % 1.22/1.89 (define @t542 () (* 0 @t462)) % 1.22/1.89 (define @t543 () (* 0 @t464)) % 1.22/1.89 (define @t544 () (+ @t543 @t542)) % 1.22/1.89 (define @t545 () (* -1 @t465)) % 1.22/1.89 (define @t546 () (+ @t465 @t545)) % 1.22/1.89 (define @t547 () (>= @t546 0)) % 1.22/1.89 (define @t548 () (not @t547)) % 1.22/1.89 (define @t549 () (+ @t463 @t466 @t482)) % 1.22/1.89 (define @t550 () (+ @t489 1)) % 1.22/1.89 (define @t551 () (+ @t463 @t482)) % 1.22/1.89 (define @t552 () (+ @t466 @t545)) % 1.22/1.89 (define @t553 () (>= @t552 1)) % 1.22/1.89 (define @t554 () (or @t553 @t548 @t541)) % 1.22/1.89 (define @t555 () (forall @t74 @t532)) % 1.22/1.89 (define @t556 () (@list false)) % 1.22/1.89 (define @t557 () (@list @t555)) % 1.22/1.89 (define @t558 () (@list false false)) % 1.22/1.89 (define @t559 () (@list @t490 @t539)) % 1.22/1.89 (define @t560 () (tptp.sum @t458 @t457 @t465)) % 1.22/1.89 (define @t561 () (* -1 @t560)) % 1.22/1.89 (define @t562 () (+ @t467 @t561)) % 1.22/1.89 (define @t563 () (>= @t562 0)) % 1.22/1.89 (define @t564 () (+ @t480 @t560)) % 1.22/1.89 (define @t565 () (+ @t562 1)) % 1.22/1.89 (define @t566 () (+ @t560 @t480)) % 1.22/1.89 (define @t567 () (>= @t566 1)) % 1.22/1.89 (define @t568 () (not @t567)) % 1.22/1.89 (define @t569 () (+ @t463 @t457 @t482)) % 1.22/1.89 (define @t570 () (+ @t475 1)) % 1.22/1.89 (define @t571 () (+ @t457 @t463 @t482)) % 1.22/1.89 (define @t572 () (>= @t571 1)) % 1.22/1.89 (define @t573 () (+ @t463 @t457)) % 1.22/1.89 (define @t574 () (+ @t478 1)) % 1.22/1.89 (define @t575 () (+ @t457 @t463)) % 1.22/1.89 (define @t576 () (>= @t575 0)) % 1.22/1.89 (define @t577 () (not @t576)) % 1.22/1.89 (define @t578 () (or @t577 @t572 @t568)) % 1.22/1.89 (define @t579 () (or @t479 @t477 @t563)) % 1.22/1.89 (define @t580 () (tptp.sum @t458 @t465 @t456)) % 1.22/1.89 (define @t581 () (+ @t560 @t580)) % 1.22/1.89 (define @t582 () (= @t459 @t581)) % 1.22/1.89 (define @t583 () (+ @t463 @t456 @t482)) % 1.22/1.89 (define @t584 () (+ @t470 1)) % 1.22/1.89 (define @t585 () (+ @t456 @t545)) % 1.22/1.89 (define @t586 () (>= @t585 0)) % 1.22/1.89 (define @t587 () (not @t586)) % 1.22/1.89 (define @t588 () (+ @t457 @t545)) % 1.22/1.89 (define @t589 () (>= @t588 1)) % 1.22/1.89 (define @t590 () (or @t589 @t587 @t582)) % 1.22/1.89 (define @t591 () (or @t477 @t473 @t582)) % 1.22/1.89 (define @t592 () (not @t582)) % 1.22/1.89 (define @t593 () (not @t563)) % 1.22/1.89 (define @t594 () (not @t538)) % 1.22/1.89 (define @t595 () (= 0 @t580)) % 1.22/1.89 (define @t596 () (+ 0 0 0 @t202)) % 1.22/1.89 (define @t597 () (* -1 @t580)) % 1.22/1.89 (define @t598 () (* 0 @t467)) % 1.22/1.89 (define @t599 () (* 0 @t560)) % 1.22/1.89 (define @t600 () (+ @t597 @t580 @t599 @t460 @t459 @t598)) % 1.22/1.90 (define @t601 () (+ @t459 @t561 @t597)) % 1.22/1.90 (define @t602 () (+ @t580 @t468 @t601 (* -1 @t562))) % 1.22/1.90 (define @t603 () (>= @t602 @t596)) % 1.22/1.90 (define @t604 () (= @t456 @t465)) % 1.22/1.90 (define @t605 () (and @t563 @t582 @t517 @t595)) % 1.22/1.90 (assume @p1 (forall (@list @t1) (tptp.sort @t1 (tptp.witness @t1)))) % 1.22/1.90 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort @t1 (tptp.match_bool @t1 @t4 @t3 @t2)))) % 1.22/1.90 (assume @p3 (forall @t7 (=> (tptp.sort @t1 @t5) (= (tptp.match_bool @t1 tptp.true @t5 @t6) @t5)))) % 1.22/1.90 (assume @p4 (forall @t7 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.false @t5 @t6) @t6)))) % 1.22/1.90 (assume @p5 (not (= tptp.true tptp.false))) % 1.22/1.90 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true) (= @t8 tptp.false)))) % 1.22/1.90 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple02))) % 1.22/1.90 (assume @p8 (forall @t15 (=> @t14 (=> @t13 (<= (* @t12 @t10) (* @t11 @t10)))))) % 1.22/1.90 (assume @p9 (forall @t18 (tptp.sort @t17 (tptp.mk_ref @t1 @t16)))) % 1.22/1.90 (assume @p10 (forall @t18 (tptp.sort @t1 (tptp.contents @t1 @t16)))) % 1.22/1.90 (assume @p11 (forall @t20 (=> (tptp.sort @t1 @t19) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t19)) @t19)))) % 1.22/1.90 (assume @p12 (forall @t20 (=> (tptp.sort @t17 @t19) (= @t19 (tptp.mk_ref @t1 (tptp.contents @t1 @t19)))))) % 1.22/1.90 (assume @p13 (forall @t23 (and (=> @t22 (= @t21 @t12)) (=> (not @t22) (= @t21 (- @t12)))))) % 1.22/1.90 (assume @p14 (forall @t24 (= (<= @t21 @t11) (and (<= (- @t11) @t12) @t14)))) % 1.22/1.90 (assume @p15 (forall @t23 (<= 0 @t21))) % 1.22/1.90 (assume @p16 (forall @t24 (=> @t27 (= @t12 (+ (* @t11 @t26) @t25))))) % 1.22/1.90 (assume @p17 (forall @t24 (=> @t30 (and @t28 (<= @t26 @t12))))) % 1.22/1.90 (assume @p18 (forall @t24 (=> @t27 (and (< (- @t31) @t25) (< @t25 @t31))))) % 1.22/1.90 (assume @p19 (forall @t24 (=> @t30 @t28))) % 1.22/1.90 (assume @p20 (forall @t24 (=> (and @t32 @t29) (<= @t26 0)))) % 1.22/1.90 (assume @p21 (forall @t24 (=> (and @t22 @t27) (<= 0 @t25)))) % 1.22/1.90 (assume @p22 (forall @t24 (=> (and @t32 @t27) (<= @t25 0)))) % 1.22/1.90 (assume @p23 (forall @t24 (=> @t27 (<= (tptp.abs (* @t26 @t11)) @t21)))) % 1.22/1.90 (assume @p24 (forall @t23 (= (tptp.div @t12 1) @t12))) % 1.22/1.90 (assume @p25 (forall @t23 (= (tptp.mod @t12 1) 0))) % 1.22/1.90 (assume @p26 (forall @t24 (=> @t33 (= @t26 0)))) % 1.22/1.90 (assume @p27 (forall @t24 (=> @t33 (= @t25 @t12)))) % 1.22/1.90 (assume @p28 (forall @t15 (=> @t35 (= (tptp.div @t34 @t12) (+ @t11 (tptp.div @t10 @t12)))))) % 1.22/1.90 (assume @p29 (forall @t15 (=> @t35 (= (tptp.mod @t34 @t12) (tptp.mod @t10 @t12))))) % 1.22/1.90 (assume @p30 (forall (@list @t1 @t36 @t16 @t3) (tptp.sort @t36 (tptp.get @t36 @t1 @t16 @t3)))) % 1.22/1.90 (assume @p31 (forall (@list @t1 @t36 @t16 @t3 @t2) (tptp.sort @t37 (tptp.set @t36 @t1 @t16 @t3 @t2)))) % 1.22/1.90 (assume @p32 (forall (@list @t1 @t36 @t41 @t40 @t39 @t38) (=> @t44 (=> @t43 (= @t42 @t38))))) % 1.22/1.90 (assume @p33 (forall (@list @t1 @t36 @t41 @t40 @t39) (=> (tptp.sort @t1 @t40) (=> (tptp.sort @t1 @t39) (forall (@list @t38) (=> (not @t43) (= @t42 (tptp.get @t36 @t1 @t41 @t39)))))))) % 1.22/1.90 (assume @p34 (forall (@list @t1 @t36 @t16) (tptp.sort @t37 (tptp.const @t36 @t1 @t16)))) % 1.22/1.90 (assume @p35 (forall (@list @t1 @t36 @t38 @t40) (=> @t44 (= (tptp.get @t36 @t1 (tptp.const @t36 @t1 @t38) @t40) @t38)))) % 1.22/1.90 (assume @p36 (forall @t46 (tptp.sort @t45 (tptp.mk_array @t1 @t12 @t3)))) % 1.22/1.90 (assume @p37 (forall @t50 (= (tptp.length @t1 @t49) @t47))) % 1.22/1.90 (assume @p38 (forall @t18 (tptp.sort @t51 (tptp.elts @t1 @t16)))) % 1.22/1.90 (assume @p39 (forall @t50 (=> (tptp.sort @t51 @t48) (= (tptp.elts @t1 @t49) @t48)))) % 1.22/1.90 (assume @p40 (forall @t20 (= @t19 (tptp.mk_array @t1 (tptp.length @t1 @t19) (tptp.elts @t1 @t19))))) % 1.22/1.90 (assume @p41 (forall (@list @t1 @t16 @t52) (tptp.sort @t1 (tptp.get1 @t1 @t16 @t52)))) % 1.22/1.90 (assume @p42 (forall @t23 (tptp.sort tptp.int (tptp.t2tb @t12)))) % 1.22/1.90 (assume @p43 (forall (@list @t53) (= (tptp.tb2t @t54) @t53))) % 1.22/1.90 (assume @p44 (forall @t56 (= (tptp.t2tb (tptp.tb2t @t55)) @t55))) % 1.22/1.90 (assume @p45 (forall (@list @t1 @t40 @t53) (= (tptp.get1 @t1 @t40 @t53) (tptp.get @t1 tptp.int @t57 @t54)))) % 1.22/1.90 (assume @p46 (forall (@list @t1 @t16 @t52 @t2) (tptp.sort @t45 (tptp.set1 @t1 @t16 @t52 @t2)))) % 1.22/1.90 (assume @p47 (forall (@list @t1 @t40 @t53 @t58) (= (tptp.set1 @t1 @t40 @t53 @t58) (tptp.mk_array @t1 (tptp.length @t1 @t40) (tptp.set @t1 tptp.int @t57 @t54 @t58))))) % 1.22/1.90 (assume @p48 (forall @t46 (tptp.sort @t45 (tptp.make @t1 @t12 @t3)))) % 1.22/1.90 (assume @p49 (forall (@list @t1 @t59 @t58) (= (tptp.make @t1 @t59 @t58) (tptp.mk_array @t1 @t59 (tptp.const @t1 tptp.int @t58))))) % 1.22/1.90 (assume @p50 (forall @t63 (=> (<= @t60 @t53) (= @t62 0)))) % 1.22/1.90 (assume @p51 (forall (@list @t64) (tptp.sort (tptp.map tptp.int tptp.int) (tptp.t2tb1 @t64)))) % 1.22/1.90 (assume @p52 (forall (@list @t65) (= (tptp.tb2t1 (tptp.t2tb1 @t65)) @t65))) % 1.22/1.90 (assume @p53 (forall @t56 (= (tptp.t2tb1 (tptp.tb2t1 @t55)) @t55))) % 1.22/1.90 (assume @p54 (forall @t63 (=> @t67 (= @t62 (+ (tptp.tb2t (tptp.get tptp.int tptp.int @t66 @t54)) (tptp.sum @t61 (+ @t53 1) @t60)))))) % 1.22/1.90 (assume @p55 (forall @t63 (=> @t67 (= @t62 (+ (tptp.sum @t61 @t53 @t68) (tptp.tb2t (tptp.get tptp.int tptp.int @t66 (tptp.t2tb @t68)))))))) % 1.22/1.90 (assume @p56 @t75) % 1.22/1.90 (assume @p57 (forall (@list @t77 @t76 @t53 @t60) (=> (forall (@list @t69) (=> (and @t71 (< @t69 @t60)) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t77) @t78)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t76) @t78))))) (= (tptp.sum @t77 @t53 @t60) (tptp.sum @t76 @t53 @t60))))) % 1.22/1.90 (assume @p58 (forall (@list @t79) (tptp.sort (tptp.array tptp.int) (tptp.t2tb2 @t79)))) % 1.22/1.90 (assume @p59 (forall (@list @t80) (= (tptp.tb2t2 (tptp.t2tb2 @t80)) @t80))) % 1.22/1.90 (assume @p60 (forall @t56 (= (tptp.t2tb2 (tptp.tb2t2 @t55)) @t55))) % 1.22/1.90 (assume @p61 (forall (@list @t83 @t82 @t81) (= @t85 (tptp.sum (tptp.tb2t1 (tptp.elts tptp.int @t84)) @t82 @t81)))) % 1.22/1.90 (assume @p62 (forall (@list @t83 @t90 @t86) (= (tptp.maxsublo @t83 @t90 @t86) (forall @t92 (=> (and @t91 (< @t82 @t90)) (=> (and @t89 @t88) @t87)))))) % 1.22/1.90 (assume @p63 (forall (@list @t83 @t86) (= (tptp.maxsub @t83 @t86) (forall @t92 (=> (and @t91 @t89 @t88) @t87))))) % 1.22/1.90 (assume @p64 @t163) % 1.22/1.90 (assume @p65 true) % 1.22/1.90 (step @p66 :rule aci_norm :args ((= (or false @t200) @t200))) % 1.22/1.90 (step @p67 :rule refl :args (@t200)) % 1.22/1.90 (assume-push @p1003 (forall @t203 (=> (and (>= @t158 @t202) (> @t158 @t201)) false))) % 1.22/1.90 (step @p69 :rule instantiate :premises (@p1003) :args ((@list @t205))) % 1.22/1.90 (step @p70 :rule arith_poly_norm :args ((= (* -1 (- @t201 @t205)) (* -1 (- @t207 @t206))))) % 1.22/1.90 (step @p71 :rule arith_poly_norm_rel :premises (@p70) :args ((= @t208 (>= @t207 @t206)))) % 1.22/1.90 (step @p72 :rule cong :premises (@p71) :args ((not @t208))) % 1.22/1.90 (step @p73 :rule arith-elim-gt :args (@t205 @t201)) % 1.22/1.90 (step @p74 :rule trans :premises (@p73 @p72)) % 1.22/1.90 (step @p75 :rule symm :premises (@p74)) % 1.22/1.90 (step @p76 :rule arith-elim-lt :args (@t207 @t206)) % 1.22/1.90 (step @p77 :rule trans :premises (@p76 @p75)) % 1.22/1.90 (step @p78 :rule evaluate :args ((< 0 1))) % 1.22/1.90 (step @p79 :rule true_elim :premises (@p78)) % 1.22/1.90 (step @p80 :rule arith-elim-leq :args (@t204 @t205)) % 1.22/1.90 (step @p81 :rule symm :premises (@p80)) % 1.22/1.90 (step @p82 :rule arith-max-geq2 :args (@t202 @t204)) % 1.22/1.90 (step @p83 :rule true_elim :premises (@p82)) % 1.22/1.90 (step @p84 :rule eq_resolve :premises (@p83 @p81)) % 1.22/1.90 (step @p85 :rule arith_sum_ub :premises (@p84 @p79)) % 1.22/1.90 (step @p86 :rule eq_resolve :premises (@p85 @p77)) % 1.22/1.90 (step @p87 :rule arith-max-geq1 :args (@t202 @t204)) % 1.22/1.90 (step @p88 :rule true_elim :premises (@p87)) % 1.22/1.90 (step @p89 :rule and_intro :premises (@p88 @p86)) % 1.22/1.90 (step @p90 false :rule modus_ponens :premises (@p89 @p69)) % 1.22/1.90 (step-pop @p1004 :rule scope :premises (@p90)) % 1.22/1.90 (step @p91 :rule process_scope :premises (@p1004) :args (false)) % 1.22/1.90 (step @p93 :rule false_intro :premises (@p91)) % 1.22/1.90 (step @p94 :rule refl :args (false)) % 1.22/1.90 (step @p95 :rule arith_poly_norm :args ((= (* -1 (- @t201 @t158)) @t210))) % 1.22/1.90 (step @p96 :rule arith_poly_norm_rel :premises (@p95) :args ((= @t212 @t211))) % 1.22/1.90 (step @p97 :rule cong :premises (@p96) :args ((not @t212))) % 1.22/1.90 (step @p98 :rule arith-elim-gt :args (@t158 @t201)) % 1.22/1.90 (step @p99 :rule trans :premises (@p98 @p97)) % 1.22/1.90 (step @p100 :rule symm :premises (@p99)) % 1.22/1.90 (step @p101 :rule evaluate :args (@t202)) % 1.22/1.90 (step @p102 :rule symm :premises (@p101)) % 1.22/1.90 (step @p103 :rule refl :args (@t158)) % 1.22/1.90 (step @p104 :rule cong :premises (@p103 @p102) :args (@t213)) % 1.22/1.90 (step @p105 :rule nary_cong :premises (@p104 @p100) :args ((and @t213 @t214))) % 1.22/1.90 (step @p106 :rule refl :args (@t214)) % 1.22/1.90 (step @p107 :rule bool-double-not-elim :args (@t213)) % 1.22/1.90 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((and (not @t215) @t214))) % 1.22/1.90 (step @p109 :rule bool-or-de-morgan :args (@t215 @t211 false)) % 1.22/1.90 (step @p110 :rule trans :premises (@p109 @p108)) % 1.22/1.90 (step @p111 :rule trans :premises (@p110 @p105)) % 1.22/1.90 (step @p112 :rule cong :premises (@p111 @p94) :args ((=> @t217 false))) % 1.22/1.90 (step @p113 :rule bool-double-not-elim :args (@t216)) % 1.22/1.90 (step @p114 :rule bool-impl-false1 :args (@t217)) % 1.22/1.90 (step @p115 :rule trans :premises (@p114 @p113)) % 1.22/1.90 (step @p116 :rule symm :premises (@p115)) % 1.22/1.90 (step @p117 :rule trans :premises (@p116 @p112)) % 1.22/1.90 (step @p118 :rule cong :premises (@p117) :args (@t218)) % 1.22/1.90 (step @p119 :rule trans :premises (@p118 @p93)) % 1.22/1.90 (step @p120 :rule nary_cong :premises (@p119 @p67) :args (@t219)) % 1.22/1.90 (step @p121 :rule quant-miniscope-or :args ((= (forall @t203 @t220) @t219))) % 1.22/1.90 (step @p122 :rule aci_norm :args ((= @t221 @t220))) % 1.22/1.90 (step @p123 :rule cong :premises (@p122) :args (@t222)) % 1.22/1.90 (step @p124 :rule trans :premises (@p123 @p121 @p120 @p66)) % 1.22/1.90 (step @p125 :rule cong :premises (@p124) :args (@t224)) % 1.22/1.90 (step @p126 :rule quant-merge-prenex :args ((= @t224 @t225))) % 1.22/1.90 (step @p127 :rule symm :premises (@p126)) % 1.22/1.90 (step @p128 :rule quant_var_reordering :args ((= (forall @t226 @t221) @t225))) % 1.22/1.90 (step @p129 :rule trans :premises (@p128 @p127 @p125)) % 1.22/1.90 (step @p130 :rule aci_norm :args ((= @t228 @t221))) % 1.22/1.90 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:rule trans :premises (@p804 @p777)) % 1.74/1.90 (step @p806 :rule refl :args (@t555)) % 1.74/1.90 (step @p807 :rule cong :premises (@p806 @p805) :args ((=> @t555 @t554))) % 1.74/1.90 (assume-push @p1019 @t555) % 1.74/1.90 (step @p809 :rule instantiate :premises (@p776) :args ((@list @t458 @t466 @t465 @t465))) % 1.74/1.90 (step-pop @p1020 :rule scope :premises (@p809)) % 1.74/1.90 (step @p810 :rule process_scope :premises (@p1020) :args (@t554)) % 1.74/1.90 (step @p812 :rule eq_resolve :premises (@p810 @p807)) % 1.74/1.90 (step @p813 :rule implies_elim :premises (@p812)) % 1.74/1.90 (step @p814 :rule chain_m_resolution :premises (@p813 @p776) :args (@t539 @t556 @t557)) % 1.74/1.90 (step @p815 :rule bool-double-not-elim :args (@t490)) % 1.74/1.90 (step @p816 :rule nary_cong :premises (@p707 @p815) :args ((or @t499 (not @t491)))) % 1.74/1.90 (step @p817 :rule cnf_or_neg :args (@t499 6)) % 1.74/1.90 (step @p818 :rule eq_resolve :premises (@p817 @p816)) % 1.74/1.90 (step @p819 :rule 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:args ((= (* -1 (- 0 @t565)) (* -1 (- @t564 1))))) % 1.74/1.90 (step @p832 :rule arith_poly_norm_rel :premises (@p831) :args ((= (>= 0 @t565) (>= @t564 1)))) % 1.74/1.90 (step @p833 :rule arith-geq-tighten :args (@t562 0)) % 1.74/1.90 (step @p834 :rule trans :premises (@p833 @p832)) % 1.74/1.90 (step @p835 :rule symm :premises (@p834)) % 1.74/1.90 (step @p836 :rule arith_poly_norm :args ((= @t566 @t564))) % 1.74/1.90 (step @p837 :rule cong :premises (@p836 @p228) :args (@t567)) % 1.74/1.90 (step @p838 :rule trans :premises (@p837 @p835)) % 1.74/1.90 (step @p839 :rule cong :premises (@p838) :args (@t568)) % 1.74/1.90 (step @p840 :rule trans :premises (@p839 @p830)) % 1.74/1.90 (step @p841 :rule arith_poly_norm :args ((= (* -1 (- 0 @t570)) (* -1 (- @t569 1))))) % 1.74/1.90 (step @p842 :rule arith_poly_norm_rel :premises (@p841) :args ((= (>= 0 @t570) (>= @t569 1)))) % 1.74/1.90 (step @p843 :rule arith-geq-tighten :args (@t475 0)) % 1.74/1.90 (step @p844 :rule trans :premises (@p843 @p842)) % 1.74/1.90 (step @p845 :rule symm :premises (@p844)) % 1.74/1.90 (step @p846 :rule arith_poly_norm :args ((= @t571 @t569))) % 1.74/1.90 (step @p847 :rule cong :premises (@p846 @p228) :args (@t572)) % 1.74/1.90 (step @p848 :rule trans :premises (@p847 @p845)) % 1.74/1.90 (step @p849 :rule bool-double-not-elim :args (@t479)) % 1.74/1.90 (step @p850 :rule arith_poly_norm :args ((= (* -1 (- 1 @t574)) (* -1 (- @t573 0))))) % 1.74/1.90 (step @p851 :rule arith_poly_norm_rel :premises (@p850) :args ((= (>= 1 @t574) (>= @t573 0)))) % 1.74/1.90 (step @p852 :rule arith-geq-tighten :args (@t478 1)) % 1.74/1.90 (step @p853 :rule trans :premises (@p852 @p851)) % 1.74/1.90 (step @p854 :rule symm :premises (@p853)) % 1.74/1.90 (step @p855 :rule arith_poly_norm :args ((= @t575 @t573))) % 1.74/1.90 (step @p856 :rule cong :premises (@p855 @p214) :args (@t576)) % 1.74/1.90 (step @p857 :rule trans :premises (@p856 @p854)) % 1.74/1.90 (step @p858 :rule cong :premises (@p857) :args (@t577)) % 1.74/1.90 (step @p859 :rule trans :premises (@p858 @p849)) % 1.74/1.90 (step @p860 :rule nary_cong :premises (@p859 @p848 @p840) :args (@t578)) % 1.74/1.90 (step @p861 :rule refl :args (@t486)) % 1.74/1.90 (step @p862 :rule cong :premises (@p861 @p860) :args ((=> @t486 @t578))) % 1.74/1.90 (assume-push @p1021 @t486) % 1.74/1.90 (step @p864 :rule instantiate :premises (@p829) :args ((@list @t457))) % 1.74/1.90 (step-pop @p1022 :rule scope :premises (@p864)) % 1.74/1.90 (step @p865 :rule process_scope :premises (@p1022) :args (@t578)) % 1.74/1.90 (step @p867 :rule eq_resolve :premises (@p865 @p862)) % 1.74/1.90 (step @p868 :rule implies_elim :premises (@p867)) % 1.74/1.90 (step @p869 :rule chain_m_resolution :premises (@p868 @p829) :args (@t579 @t556 (@list @t486))) % 1.74/1.90 (step @p870 :rule bool-double-not-elim :args (@t476)) % 1.74/1.90 (step @p871 :rule nary_cong :premises (@p707 @p870) :args ((or @t499 (not @t477)))) % 1.74/1.90 (step @p872 :rule cnf_or_neg :args (@t499 9)) % 1.74/1.90 (step @p873 :rule eq_resolve :premises (@p872 @p871)) % 1.74/1.90 (step @p874 :rule reordering :premises (@p873) :args ((or @t476 @t499))) % 1.74/1.90 (step @p875 :rule chain_m_resolution :premises (@p874 @p703) :args (@t476 @t516 @t518)) % 1.74/1.90 (step @p876 :rule cnf_or_neg :args (@t499 8)) % 1.74/1.90 (step @p877 :rule chain_m_resolution :premises (@p876 @p703) :args ((not @t479) @t516 @t518)) % 1.74/1.90 (step @p878 :rule cnf_or_pos :args (@t579)) % 1.74/1.90 (step @p879 :rule reordering :premises (@p878) :args ((or @t479 @t477 @t563 (not @t579)))) % 1.74/1.90 (step @p880 :rule chain_m_resolution :premises (@p879 @p877 @p875 @p869) :args (@t563 (@list true false false) (@list @t479 @t476 @t579))) % 1.74/1.90 (step @p881 :rule refl :args (@t582)) % 1.74/1.90 (step @p882 :rule arith_poly_norm :args ((= (* -1 (- 1 @t584)) (* -1 (- @t583 0))))) % 1.74/1.90 (step @p883 :rule arith_poly_norm_rel :premises (@p882) :args ((= (>= 1 @t584) (>= @t583 0)))) % 1.74/1.90 (step @p884 :rule arith-geq-tighten :args (@t470 1)) % 1.74/1.90 (step @p885 :rule trans :premises (@p884 @p883)) % 1.74/1.90 (step @p886 :rule symm :premises (@p885)) % 1.74/1.90 (step @p887 :rule arith_poly_norm :args ((= (+ @t456 @t551) @t583))) % 1.74/1.90 (step @p888 :rule refl :args (@t456)) % 1.74/1.90 (step @p889 :rule nary_cong :premises (@p888 @p798) :args (@t585)) % 1.74/1.90 (step @p890 :rule trans :premises (@p889 @p887)) % 1.74/1.90 (step @p891 :rule cong :premises (@p890 @p214) :args (@t586)) % 1.74/1.90 (step @p892 :rule trans :premises (@p891 @p886)) % 1.74/1.90 (step @p893 :rule cong :premises (@p892) :args (@t587)) % 1.74/1.90 (step @p894 :rule trans :premises (@p893 @p716)) % 1.74/1.90 (step @p895 :rule arith_poly_norm :args ((= (+ @t457 @t551) @t569))) % 1.74/1.90 (step @p896 :rule refl :args (@t457)) % 1.74/1.90 (step @p897 :rule nary_cong :premises (@p896 @p798) :args (@t588)) % 1.74/1.90 (step @p898 :rule trans :premises (@p897 @p895)) % 1.74/1.90 (step @p899 :rule cong :premises (@p898 @p228) :args (@t589)) % 1.74/1.90 (step @p900 :rule trans :premises (@p899 @p845)) % 1.74/1.90 (step @p901 :rule nary_cong :premises (@p900 @p894 @p881) :args (@t590)) % 1.74/1.90 (step @p902 :rule cong :premises (@p806 @p901) :args ((=> @t555 @t590))) % 1.74/1.90 (assume-push @p1023 @t555) % 1.74/1.90 (step @p904 :rule instantiate :premises (@p776) :args ((@list @t458 @t457 @t465 @t456))) % 1.74/1.90 (step-pop @p1024 :rule scope :premises (@p904)) % 1.74/1.90 (step @p905 :rule process_scope :premises (@p1024) :args (@t590)) % 1.74/1.90 (step @p907 :rule eq_resolve :premises (@p905 @p902)) % 1.74/1.90 (step @p908 :rule implies_elim :premises (@p907)) % 1.74/1.90 (step @p909 :rule chain_m_resolution :premises (@p908 @p776) :args (@t591 @t556 @t557)) % 1.74/1.90 (step @p910 :rule cnf_or_pos :args (@t591)) % 1.74/1.90 (step @p911 :rule reordering :premises (@p910) :args ((or @t477 @t473 @t582 (not @t591)))) % 1.74/1.90 (step @p912 :rule chain_m_resolution :premises (@p911 @p875 @p714 @p909) :args (@t582 (@list false true false) (@list @t476 @t473 @t591))) % 1.74/1.90 (step @p913 :rule refl :args (@t592)) % 1.74/1.90 (step @p914 :rule refl :args (@t593)) % 1.74/1.90 (step @p915 :rule refl :args (@t594)) % 1.74/1.90 (step @p916 :rule refl :args (@t522)) % 1.74/1.90 (step @p917 :rule bool-double-not-elim :args (@t469)) % 1.74/1.90 (step @p918 :rule nary_cong :premises (@p917 @p916 @p915 @p914 @p913) :args ((or (not @t517) @t522 @t594 @t593 @t592))) % 1.74/1.90 (assume-push @p1025 @t563) % 1.74/1.90 (assume-push @p1026 @t582) % 1.74/1.90 (assume-push @p1027 @t517) % 1.74/1.90 (assume-push @p1028 @t595) % 1.74/1.90 (assume-push @p1029 (= @t580 0)) % 1.74/1.90 (step @p924 :rule evaluate :args ((+ 0 0 0 0))) % 1.74/1.90 (step @p925 :rule nary_cong :premises (@p214 @p214 @p214 @p101) :args (@t596)) % 1.74/1.90 (step @p926 :rule trans :premises (@p925 @p924)) % 1.74/1.90 (step @p927 :rule arith_poly_norm :args ((= (+ @t597 @t580 0 @t460 @t459 0) 0))) % 1.74/1.90 (step @p928 :rule arith_poly_norm :args ((= @t598 0))) % 1.74/1.90 (step @p929 :rule refl :args (@t459)) % 1.74/1.90 (step @p930 :rule refl :args (@t460)) % 1.74/1.90 (step @p931 :rule arith_poly_norm :args ((= @t599 0))) % 1.74/1.90 (step @p932 :rule refl :args (@t580)) % 1.74/1.90 (step @p933 :rule refl :args (@t597)) % 1.74/1.90 (step @p934 :rule nary_cong :premises (@p933 @p932 @p931 @p930 @p929 @p928) :args (@t600)) % 1.74/1.90 (step @p935 :rule trans :premises (@p934 @p927)) % 1.74/1.90 (step @p936 :rule arith_poly_norm :args ((= @t602 @t600))) % 1.74/1.90 (step @p937 :rule trans :premises (@p936 @p935)) % 1.74/1.90 (step @p938 :rule cong :premises (@p937 @p926) :args (@t603)) % 1.74/1.90 (step @p939 :rule trans :premises (@p938 @p780)) % 1.74/1.90 (step @p940 :rule cong :premises (@p939) :args ((not @t603))) % 1.74/1.90 (step @p941 :rule trans :premises (@p940 @p177)) % 1.74/1.90 (step @p942 :rule arith-elim-lt :args (@t602 @t596)) % 1.74/1.90 (step @p943 :rule trans :premises (@p942 @p941)) % 1.74/1.90 (step @p944 :rule arith_mult_neg :args (-1 @t563)) % 1.74/1.90 (step @p945 :rule evaluate :args ((< -1 0))) % 1.74/1.90 (step @p946 :rule true_elim :premises (@p945)) % 1.74/1.90 (step @p947 :rule and_intro :premises (@p946 @p880)) % 1.74/1.90 (step @p948 :rule modus_ponens :premises (@p947 @p944)) % 1.74/1.90 (step @p949 :rule arith_poly_norm :args ((= (* 1 (- @t601 0)) (* 1 (- @t459 @t581))))) % 1.74/1.90 (step @p950 :rule arith_poly_norm_rel :premises (@p949) :args ((= (= @t601 0) @t582))) % 1.74/1.90 (step @p951 :rule symm :premises (@p950)) % 1.74/1.90 (step @p952 :rule eq_resolve :premises (@p912 @p951)) % 1.74/1.90 (step @p953 :rule arith-elim-lt :args (@t468 0)) % 1.74/1.90 (step @p954 :rule symm :premises (@p953)) % 1.74/1.90 (step @p955 :rule eq_resolve :premises (@p705 @p954)) % 1.74/1.90 (step @p956 :rule arith_sum_ub :premises (@p1029 @p955 @p952 @p948)) % 1.74/1.90 (step @p957 false :rule eq_resolve :premises (@p956 @p943)) % 1.74/1.90 (step-pop @p1030 :rule scope :premises (@p957)) % 1.74/1.90 (step @p958 :rule process_scope :premises (@p1030) :args (false)) % 1.74/1.90 (step @p960 :rule symm :premises (@p1028)) % 1.74/1.90 (step @p961 false :rule contra :premises (@p960 @p958)) % 1.74/1.90 (step-pop @p1031 :rule scope :premises (@p961)) % 1.74/1.90 (step-pop @p1032 :rule scope :premises (@p1031)) % 1.74/1.90 (step-pop @p1033 :rule scope :premises (@p1032)) % 1.74/1.90 (step-pop @p1034 :rule scope :premises (@p1033)) % 1.74/1.90 (step @p962 :rule process_scope :premises (@p1034) :args (false)) % 1.74/1.90 (assume-push @p1035 @t517) % 1.74/1.90 (assume-push @p1036 @t521) % 1.74/1.90 (assume-push @p1037 @t538) % 1.74/1.90 (assume-push @p1038 @t563) % 1.74/1.90 (assume-push @p1039 @t582) % 1.74/1.90 (assume-push @p1040 @t604) % 1.74/1.90 (assume-push @p1041 (= 0 @t537)) % 1.74/1.90 (step @p974 :rule symm :premises (@p1040)) % 1.74/1.90 (step @p975 :rule refl :args (@t465)) % 1.74/1.90 (step @p976 :rule refl :args (@t458)) % 1.74/1.90 (step @p977 :rule cong :premises (@p976 @p975 @p974) :args (@t537)) % 1.74/1.90 (step @p978 :rule chain_m_resolution :premises (@p822 @p820 @p814) :args (@t538 @t558 @t559)) % 1.74/1.90 (step @p979 :rule symm :premises (@p978)) % 1.74/1.90 (step @p980 :rule trans :premises (@p979 @p977)) % 1.74/1.90 (step-pop @p1042 :rule scope :premises (@p980)) % 1.74/1.90 (step-pop @p1043 :rule scope :premises (@p1042)) % 1.74/1.90 (step @p981 :rule process_scope :premises (@p1043) :args (@t595)) % 1.74/1.90 (step @p984 :rule symm :premises (@p823)) % 1.74/1.90 (step @p985 :rule arith_poly_norm :args ((= (* 1 (- @t456 @t465)) (* -1 @t523)))) % 1.74/1.90 (step @p986 :rule arith_poly_norm_rel :premises (@p985) :args ((= @t604 @t521))) % 1.74/1.90 (step @p987 :rule symm :premises (@p986)) % 1.74/1.90 (step @p988 :rule eq_resolve :premises (@p1036 @p987)) % 1.74/1.90 (step @p989 :rule and_intro :premises (@p988 @p984)) % 1.74/1.90 (step @p990 :rule modus_ponens :premises (@p989 @p981)) % 1.74/1.90 (step @p991 :rule and_intro :premises (@p880 @p912 @p705 @p990)) % 1.74/1.90 (step-pop @p1044 :rule scope :premises (@p991)) % 1.74/1.90 (step-pop @p1045 :rule scope :premises (@p1044)) % 1.74/1.90 (step-pop @p1046 :rule scope :premises (@p1045)) % 1.74/1.90 (step-pop @p1047 :rule scope :premises (@p1046)) % 1.74/1.90 (step-pop @p1048 :rule scope :premises (@p1047)) % 1.74/1.90 (step @p992 :rule process_scope :premises (@p1048) :args (@t605)) % 1.74/1.90 (step @p998 :rule implies_elim :premises (@p992)) % 1.74/1.90 (step @p999 :rule resolution :premises (@p998 @p962) :args (true @t605)) % 1.74/1.90 (step @p1000 :rule not_and :premises (@p999)) % 1.74/1.90 (step @p1001 :rule eq_resolve :premises (@p1000 @p918)) % 1.74/1.90 (step @p1002 false :rule chain_m_resolution :premises (@p1001 @p912 @p880 @p823 @p749 @p705) :args (false (@list false false false false true) (@list @t582 @t563 @t538 @t521 @t469))) % 1.74/1.90 ) % 1.74/1.90 % SZS output end Proof % 1.74/1.90 % cvc5 exiting %------------------------------------------------------------------------------