%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW662_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 : n013.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 09:05:26 AM UTC 2026 % Result : Theorem 0.54s 0.78s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW662_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:22:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 0.54/0.78 --- Run --finite-model-find --decision=internal at 45... % 0.54/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.54/0.78 % SZS status Theorem % 0.54/0.78 % SZS output start Proof % 0.54/0.78 ( % 0.54/0.78 (declare-sort tptp.map_int_int 0) % 0.54/0.78 (declare-sort tptp.array_int 0) % 0.54/0.78 (declare-sort tptp.tuple02 0) % 0.54/0.78 (declare-sort tptp.bool1 0) % 0.54/0.78 (declare-sort tptp.ty 0) % 0.54/0.78 (declare-sort tptp.uni 0) % 0.54/0.78 (declare-const tptp.is_power_of_21 (-> Int Bool)) % 0.54/0.78 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 0.54/0.78 (declare-const tptp.t2tb2 (-> tptp.array_int tptp.uni)) % 0.54/0.78 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 0.54/0.78 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 0.54/0.78 (declare-const tptp.power1 (-> Int Int Int)) % 0.54/0.78 (declare-const tptp.tuple03 tptp.tuple02) % 0.54/0.78 (declare-const tptp.div1 (-> Int Int Int)) % 0.54/0.78 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 0.54/0.78 (declare-const tptp.sum3 (-> tptp.array_int Int Int Int)) % 0.54/0.78 (declare-const tptp.mod1 (-> Int Int Int)) % 0.54/0.78 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_int_int)) % 0.54/0.78 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 0.54/0.78 (declare-const tptp.false1 tptp.bool1) % 0.54/0.78 (declare-const tptp.true1 tptp.bool1) % 0.54/0.78 (declare-const tptp.abs1 (-> Int Int)) % 0.54/0.78 (declare-const tptp.sum2 (-> tptp.map_int_int Int Int Int)) % 0.54/0.78 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.54/0.78 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 0.54/0.78 (declare-const tptp.int tptp.ty) % 0.54/0.78 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 0.54/0.78 (declare-const tptp.t2tb1 (-> tptp.map_int_int tptp.uni)) % 0.54/0.78 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 0.54/0.78 (declare-const tptp.tb2t2 (-> tptp.uni tptp.array_int)) % 0.54/0.78 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.54/0.78 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 0.54/0.78 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 0.54/0.78 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.54/0.78 (declare-const tptp.t2tb (-> Int tptp.uni)) % 0.54/0.78 (declare-const tptp.tb2t (-> tptp.uni Int)) % 0.54/0.78 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 0.54/0.78 (define @t1 () (@var "A" tptp.ty)) % 0.54/0.78 (define @t2 () (@var "X2" tptp.uni)) % 0.54/0.78 (define @t3 () (@var "X1" tptp.uni)) % 0.54/0.78 (define @t4 () (@var "X" tptp.bool1)) % 0.54/0.78 (define @t5 () (@var "Z" tptp.uni)) % 0.54/0.78 (define @t6 () (@var "Z1" tptp.uni)) % 0.54/0.78 (define @t7 () (@list @t1 @t5 @t6)) % 0.54/0.78 (define @t8 () (@var "U" tptp.bool1)) % 0.54/0.78 (define @t9 () (@var "U" tptp.tuple02)) % 0.54/0.78 (define @t10 () (@var "Z" Int)) % 0.54/0.78 (define @t11 () (@var "Y" Int)) % 0.54/0.78 (define @t12 () (@var "X" Int)) % 0.54/0.78 (define @t13 () (<= 0 @t10)) % 0.54/0.78 (define @t14 () (<= @t12 @t11)) % 0.54/0.78 (define @t15 () (@list @t12 @t11 @t10)) % 0.54/0.78 (define @t16 () (tptp.abs1 @t12)) % 0.54/0.78 (define @t17 () (<= 0 @t12)) % 0.54/0.78 (define @t18 () (@list @t12)) % 0.54/0.78 (define @t19 () (@list @t12 @t11)) % 0.54/0.78 (define @t20 () (tptp.mod1 @t12 @t11)) % 0.54/0.78 (define @t21 () (tptp.div1 @t12 @t11)) % 0.54/0.78 (define @t22 () (not (= @t11 0))) % 0.54/0.78 (define @t23 () (<= 0 @t21)) % 0.54/0.78 (define @t24 () (< 0 @t11)) % 0.54/0.78 (define @t25 () (and @t17 @t24)) % 0.54/0.78 (define @t26 () (tptp.abs1 @t11)) % 0.54/0.78 (define @t27 () (<= @t12 0)) % 0.54/0.78 (define @t28 () (and @t17 (< @t12 @t11))) % 0.54/0.78 (define @t29 () (* @t12 @t11)) % 0.54/0.78 (define @t30 () (+ @t29 @t10)) % 0.54/0.78 (define @t31 () (and (< 0 @t12) (<= 0 @t11) @t13)) % 0.54/0.78 (define @t32 () (@var "N" Int)) % 0.54/0.78 (define @t33 () (tptp.power1 @t12 @t32)) % 0.54/0.78 (define @t34 () (+ @t32 1)) % 0.54/0.78 (define @t35 () (<= 0 @t32)) % 0.54/0.78 (define @t36 () (@list @t12 @t32)) % 0.54/0.78 (define @t37 () (- @t32 1)) % 0.54/0.78 (define @t38 () (tptp.power1 @t12 @t37)) % 0.54/0.78 (define @t39 () (* @t12 @t38)) % 0.54/0.78 (define @t40 () (= @t33 @t39)) % 0.54/0.78 (define @t41 () (=> (< 0 @t32) @t40)) % 0.54/0.78 (define @t42 () (forall @t36 @t41)) % 0.54/0.78 (define @t43 () (@var "M" Int)) % 0.54/0.78 (define @t44 () (<= 0 @t43)) % 0.54/0.78 (define @t45 () (@list @t12 @t32 @t43)) % 0.54/0.78 (define @t46 () (@var "X" tptp.uni)) % 0.54/0.78 (define @t47 () (@var "B" tptp.ty)) % 0.54/0.78 (define @t48 () (tptp.map @t1 @t47)) % 0.54/0.78 (define @t49 () (@var "B1" tptp.uni)) % 0.54/0.78 (define @t50 () (@var "A2" tptp.uni)) % 0.54/0.78 (define @t51 () (@var "A1" tptp.uni)) % 0.54/0.78 (define @t52 () (@var "M" tptp.uni)) % 0.54/0.78 (define @t53 () (tptp.get @t47 @t1 (tptp.set @t47 @t1 @t52 @t51 @t49) @t50)) % 0.54/0.78 (define @t54 () (= @t51 @t50)) % 0.54/0.78 (define @t55 () (tptp.sort1 @t47 @t49)) % 0.54/0.78 (define @t56 () (tptp.array @t1)) % 0.54/0.78 (define @t57 () (@list @t1 @t12 @t3)) % 0.54/0.78 (define @t58 () (@var "U" Int)) % 0.54/0.78 (define @t59 () (@var "U1" tptp.uni)) % 0.54/0.78 (define @t60 () (tptp.mk_array1 @t1 @t58 @t59)) % 0.54/0.78 (define @t61 () (@list @t1 @t58 @t59)) % 0.54/0.78 (define @t62 () (tptp.map tptp.int @t1)) % 0.54/0.78 (define @t63 () (@var "U" tptp.uni)) % 0.54/0.78 (define @t64 () (@var "X1" Int)) % 0.54/0.78 (define @t65 () (@var "I" Int)) % 0.54/0.78 (define @t66 () (tptp.t2tb @t65)) % 0.54/0.78 (define @t67 () (@var "J" tptp.uni)) % 0.54/0.78 (define @t68 () (@list @t67)) % 0.54/0.78 (define @t69 () (tptp.elts @t1 @t51)) % 0.54/0.78 (define @t70 () (@var "V" tptp.uni)) % 0.54/0.78 (define @t71 () (@var "J" Int)) % 0.54/0.78 (define @t72 () (@var "C" tptp.map_int_int)) % 0.54/0.78 (define @t73 () (tptp.sum2 @t72 @t65 @t71)) % 0.54/0.78 (define @t74 () (@list @t72 @t65 @t71)) % 0.54/0.78 (define @t75 () (@var "X" tptp.map_int_int)) % 0.54/0.78 (define @t76 () (@var "I" tptp.map_int_int)) % 0.54/0.78 (define @t77 () (tptp.t2tb1 @t72)) % 0.54/0.78 (define @t78 () (< @t65 @t71)) % 0.54/0.78 (define @t79 () (- @t71 1)) % 0.54/0.78 (define @t80 () (@var "K" Int)) % 0.54/0.78 (define @t81 () (<= @t65 @t80)) % 0.54/0.78 (define @t82 () (@var "C2" tptp.map_int_int)) % 0.54/0.78 (define @t83 () (@var "C1" tptp.map_int_int)) % 0.54/0.78 (define @t84 () (tptp.t2tb @t80)) % 0.54/0.78 (define @t85 () (@list @t80)) % 0.54/0.78 (define @t86 () (@var "X" tptp.array_int)) % 0.54/0.78 (define @t87 () (@var "I" tptp.array_int)) % 0.54/0.78 (define @t88 () (@var "H" Int)) % 0.54/0.78 (define @t89 () (@var "L" Int)) % 0.54/0.78 (define @t90 () (@var "A" tptp.array_int)) % 0.54/0.78 (define @t91 () (tptp.div1 @t12 2)) % 0.54/0.78 (define @t92 () (* 2 @t91)) % 0.54/0.78 (define @t93 () (- @t12 1)) % 0.54/0.78 (define @t94 () (<= @t93 @t92)) % 0.54/0.78 (define @t95 () (and (<= @t92 @t12) @t94)) % 0.54/0.78 (define @t96 () (=> @t17 @t95)) % 0.54/0.78 (define @t97 () (forall @t18 @t96)) % 0.54/0.78 (define @t98 () (tptp.power1 2 @t80)) % 0.54/0.78 (define @t99 () (= @t12 @t98)) % 0.54/0.78 (define @t100 () (and (<= 0 @t80) @t99)) % 0.54/0.78 (define @t101 () (exists @t85 @t100)) % 0.54/0.78 (define @t102 () (tptp.is_power_of_21 @t12)) % 0.54/0.78 (define @t103 () (= @t102 @t101)) % 0.54/0.78 (define @t104 () (forall @t18 @t103)) % 0.54/0.78 (define @t105 () (= @t92 @t12)) % 0.54/0.78 (define @t106 () (=> (< 1 @t12) @t105)) % 0.54/0.78 (define @t107 () (=> @t102 @t106)) % 0.54/0.78 (define @t108 () (forall @t18 @t107)) % 0.54/0.78 (define @t109 () (not @t108)) % 0.54/0.78 (define @t110 () (= @t12 @t92)) % 0.54/0.78 (define @t111 () (>= @t12 2)) % 0.54/0.78 (define @t112 () (not @t111)) % 0.54/0.78 (define @t113 () (not @t102)) % 0.54/0.78 (define @t114 () (or @t113 @t112 @t110)) % 0.54/0.78 (define @t115 () (=> @t111 @t110)) % 0.54/0.78 (define @t116 () (- @t12 @t92)) % 0.54/0.78 (define @t117 () (+ @t12 1)) % 0.54/0.78 (define @t118 () (>= 1 @t12)) % 0.54/0.78 (define @t119 () (@quantifiers_skolemize (forall @t18 @t114) 0)) % 0.54/0.78 (define @t120 () (tptp.div1 @t119 2)) % 0.54/0.78 (define @t121 () (* 2 @t120)) % 0.54/0.78 (define @t122 () (= @t119 @t121)) % 0.54/0.78 (define @t123 () (>= @t119 2)) % 0.54/0.78 (define @t124 () (not @t123)) % 0.54/0.78 (define @t125 () (tptp.is_power_of_21 @t119)) % 0.54/0.78 (define @t126 () (not @t125)) % 0.54/0.78 (define @t127 () (or @t126 @t124 @t122)) % 0.54/0.78 (define @t128 () (not @t122)) % 0.54/0.78 (define @t129 () (@list true)) % 0.54/0.78 (define @t130 () (@list @t127)) % 0.54/0.78 (define @t131 () (>= @t80 0)) % 0.54/0.78 (define @t132 () (and @t131 @t99)) % 0.54/0.78 (define @t133 () (forall @t85 (not @t132))) % 0.54/0.78 (define @t134 () (not @t133)) % 0.54/0.78 (define @t135 () (@list @t119)) % 0.54/0.78 (define @t136 () (forall @t85 (or (not @t131) (not (= @t119 @t98))))) % 0.54/0.78 (define @t137 () (not @t136)) % 0.54/0.78 (define @t138 () (= @t125 @t137)) % 0.54/0.78 (define @t139 () (@list false false)) % 0.54/0.78 (define @t140 () (@quantifiers_skolemize @t136 0)) % 0.54/0.78 (define @t141 () (tptp.power1 2 @t140)) % 0.54/0.78 (define @t142 () (= @t119 @t141)) % 0.54/0.78 (define @t143 () (not @t142)) % 0.54/0.78 (define @t144 () (>= @t140 0)) % 0.54/0.78 (define @t145 () (not @t144)) % 0.54/0.78 (define @t146 () (or @t145 @t143)) % 0.54/0.78 (define @t147 () (@list @t146)) % 0.54/0.78 (define @t148 () (>= @t12 0)) % 0.54/0.78 (define @t149 () (+ @t12 (* -2 @t91))) % 0.54/0.78 (define @t150 () (>= @t149 2)) % 0.54/0.78 (define @t151 () (>= @t149 0)) % 0.54/0.78 (define @t152 () (and @t151 (not @t150))) % 0.54/0.78 (define @t153 () (+ @t92 1)) % 0.54/0.78 (define @t154 () (+ -1 @t12)) % 0.54/0.78 (define @t155 () (>= @t154 @t153)) % 0.54/0.78 (define @t156 () (* -1 1)) % 0.54/0.78 (define @t157 () (+ @t12 @t156)) % 0.54/0.78 (define @t158 () (>= @t119 0)) % 0.54/0.78 (define @t159 () (not @t158)) % 0.54/0.78 (define @t160 () (+ -1 1)) % 0.54/0.78 (define @t161 () (>= @t119 @t160)) % 0.54/0.78 (define @t162 () (<= @t119 -1)) % 0.54/0.78 (define @t163 () (* -1 2)) % 0.54/0.78 (define @t164 () (+ -1 @t163)) % 0.54/0.78 (define @t165 () (+ @t119 (* -1 @t119))) % 0.54/0.78 (define @t166 () (= @t165 0)) % 0.54/0.78 (define @t167 () (< -1 0)) % 0.54/0.78 (define @t168 () (and @t159 @t123)) % 0.54/0.78 (define @t169 () (@list false)) % 0.54/0.78 (define @t170 () (* -2 @t120)) % 0.54/0.78 (define @t171 () (+ @t119 @t170)) % 0.54/0.78 (define @t172 () (>= @t171 2)) % 0.54/0.78 (define @t173 () (not @t172)) % 0.54/0.78 (define @t174 () (>= @t171 0)) % 0.54/0.78 (define @t175 () (and @t174 @t173)) % 0.54/0.78 (define @t176 () (or @t159 @t175)) % 0.54/0.78 (define @t177 () (not @t175)) % 0.54/0.78 (define @t178 () (@list @t175)) % 0.54/0.78 (define @t179 () (>= @t32 1)) % 0.54/0.78 (define @t180 () (+ -1 @t32)) % 0.54/0.78 (define @t181 () (tptp.power1 @t12 @t180)) % 0.54/0.78 (define @t182 () (* @t12 @t181)) % 0.54/0.78 (define @t183 () (= @t33 @t182)) % 0.54/0.78 (define @t184 () (+ @t32 @t156)) % 0.54/0.78 (define @t185 () (>= 0 @t32)) % 0.54/0.78 (define @t186 () (tptp.power1 2 (+ -1 @t140))) % 0.54/0.78 (define @t187 () (* 2 @t186)) % 0.54/0.78 (define @t188 () (* 2 @t186)) % 0.54/0.78 (define @t189 () (= @t141 @t188)) % 0.54/0.78 (define @t190 () (>= @t140 1)) % 0.54/0.78 (define @t191 () (not @t190)) % 0.54/0.78 (define @t192 () (or @t191 @t189)) % 0.54/0.78 (define @t193 () (forall @t36 (or (not @t179) @t183))) % 0.54/0.78 (define @t194 () (= @t141 @t187)) % 0.54/0.78 (define @t195 () (or @t191 @t194)) % 0.54/0.78 (define @t196 () (@list 2)) % 0.54/0.78 (define @t197 () (tptp.power1 2 0)) % 0.54/0.78 (define @t198 () (= @t197 1)) % 0.54/0.78 (define @t199 () (not @t198)) % 0.54/0.78 (define @t200 () (= 1 @t119)) % 0.54/0.78 (define @t201 () (+ 1 @t163)) % 0.54/0.78 (define @t202 () (= 0 @t140)) % 0.54/0.78 (define @t203 () (and @t200 @t123)) % 0.54/0.78 (define @t204 () (not @t194)) % 0.54/0.78 (define @t205 () (not @t174)) % 0.54/0.78 (define @t206 () (* -1 @t186)) % 0.54/0.78 (define @t207 () (* -1 @t206)) % 0.54/0.78 (define @t208 () (* 2 @t207)) % 0.54/0.78 (define @t209 () (* -2 @t186)) % 0.54/0.78 (define @t210 () (* -1 @t209)) % 0.54/0.78 (define @t211 () (* -1 @t210)) % 0.54/0.78 (define @t212 () (* -1 @t211)) % 0.54/0.78 (define @t213 () (= @t212 @t208)) % 0.54/0.78 (define @t214 () (+ @t120 @t206)) % 0.54/0.78 (define @t215 () (>= @t214 1)) % 0.54/0.78 (define @t216 () (not @t215)) % 0.54/0.78 (define @t217 () (+ 0 1)) % 0.54/0.78 (define @t218 () (>= @t214 @t217)) % 0.54/0.78 (define @t219 () (not (> @t214 0))) % 0.54/0.78 (define @t220 () (+ @t170 @t187)) % 0.54/0.78 (define @t221 () (+ @t214 1)) % 0.54/0.78 (define @t222 () (+ @t212 @t170)) % 0.54/0.78 (define @t223 () (* -1 @t141)) % 0.54/0.78 (define @t224 () (* -1 @t223)) % 0.54/0.78 (define @t225 () (>= @t222 2)) % 0.54/0.78 (define @t226 () (and @t142 @t173 @t128 @t174 @t194)) % 0.54/0.78 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.54/0.78 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 0.54/0.78 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 0.54/0.78 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 0.54/0.78 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.54/0.78 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 0.54/0.78 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 0.54/0.78 (assume @p8 (forall @t15 (=> @t14 (=> @t13 (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.54/0.78 (assume @p9 (forall @t18 (and (=> @t17 (= @t16 @t12)) (=> (not @t17) (= @t16 (- @t12)))))) % 0.54/0.78 (assume @p10 (forall @t19 (= (<= @t16 @t11) (and (<= (- @t11) @t12) @t14)))) % 0.54/0.78 (assume @p11 (forall @t18 (<= 0 @t16))) % 0.54/0.78 (assume @p12 (forall @t19 (=> @t22 (= @t12 (+ (* @t11 @t21) @t20))))) % 0.54/0.78 (assume @p13 (forall @t19 (=> @t25 (and @t23 (<= @t21 @t12))))) % 0.54/0.78 (assume @p14 (forall @t19 (=> @t22 (and (< (- @t26) @t20) (< @t20 @t26))))) % 0.54/0.78 (assume @p15 (forall @t19 (=> @t25 @t23))) % 0.54/0.78 (assume @p16 (forall @t19 (=> (and @t27 @t24) (<= @t21 0)))) % 0.54/0.78 (assume @p17 (forall @t19 (=> (and @t17 @t22) (<= 0 @t20)))) % 0.54/0.78 (assume @p18 (forall @t19 (=> (and @t27 @t22) (<= @t20 0)))) % 0.54/0.78 (assume @p19 (forall @t19 (=> @t22 (<= (tptp.abs1 (* @t21 @t11)) @t16)))) % 0.54/0.78 (assume @p20 (forall @t18 (= (tptp.div1 @t12 1) @t12))) % 0.54/0.78 (assume @p21 (forall @t18 (= (tptp.mod1 @t12 1) 0))) % 0.54/0.78 (assume @p22 (forall @t19 (=> @t28 (= @t21 0)))) % 0.54/0.78 (assume @p23 (forall @t19 (=> @t28 (= @t20 @t12)))) % 0.54/0.78 (assume @p24 (forall @t15 (=> @t31 (= (tptp.div1 @t30 @t12) (+ @t11 (tptp.div1 @t10 @t12)))))) % 0.54/0.78 (assume @p25 (forall @t15 (=> @t31 (= (tptp.mod1 @t30 @t12) (tptp.mod1 @t10 @t12))))) % 0.54/0.78 (assume @p26 (forall @t18 (= (tptp.power1 @t12 0) 1))) % 0.54/0.78 (assume @p27 (forall @t36 (=> @t35 (= (tptp.power1 @t12 @t34) (* @t12 @t33))))) % 0.54/0.78 (assume @p28 @t42) % 0.54/0.78 (assume @p29 (forall @t18 (= (tptp.power1 @t12 1) @t12))) % 0.54/0.78 (assume @p30 (forall @t45 (=> @t35 (=> @t44 (= (tptp.power1 @t12 (+ @t32 @t43)) (* @t33 (tptp.power1 @t12 @t43))))))) % 0.54/0.78 (assume @p31 (forall @t45 (=> @t35 (=> @t44 (= (tptp.power1 @t12 (* @t32 @t43)) (tptp.power1 @t33 @t43)))))) % 0.54/0.78 (assume @p32 (forall (@list @t12 @t11 @t32) (=> @t35 (= (tptp.power1 @t29 @t32) (* @t33 (tptp.power1 @t11 @t32)))))) % 0.54/0.78 (assume @p33 (forall (@list @t1 @t47 @t46 @t3) (tptp.sort1 @t47 (tptp.get @t47 @t1 @t46 @t3)))) % 0.54/0.78 (assume @p34 (forall (@list @t1 @t47 @t46 @t3 @t2) (tptp.sort1 @t48 (tptp.set @t47 @t1 @t46 @t3 @t2)))) % 0.54/0.78 (assume @p35 (forall (@list @t1 @t47 @t52 @t51 @t50 @t49) (=> @t55 (=> @t54 (= @t53 @t49))))) % 0.54/0.78 (assume @p36 (forall (@list @t1 @t47 @t52 @t51 @t50) (=> (tptp.sort1 @t1 @t51) (=> (tptp.sort1 @t1 @t50) (forall (@list @t49) (=> (not @t54) (= @t53 (tptp.get @t47 @t1 @t52 @t50)))))))) % 0.54/0.78 (assume @p37 (forall (@list @t1 @t47 @t46) (tptp.sort1 @t48 (tptp.const @t47 @t1 @t46)))) % 0.54/0.78 (assume @p38 (forall (@list @t1 @t47 @t49 @t51) (=> @t55 (= (tptp.get @t47 @t1 (tptp.const @t47 @t1 @t49) @t51) @t49)))) % 0.54/0.78 (assume @p39 (forall @t57 (tptp.sort1 @t56 (tptp.mk_array1 @t1 @t12 @t3)))) % 0.54/0.78 (assume @p40 (forall @t61 (= (tptp.length1 @t1 @t60) @t58))) % 0.54/0.78 (assume @p41 (forall (@list @t1 @t46) (tptp.sort1 @t62 (tptp.elts @t1 @t46)))) % 0.54/0.78 (assume @p42 (forall @t61 (=> (tptp.sort1 @t62 @t59) (= (tptp.elts @t1 @t60) @t59)))) % 0.54/0.78 (assume @p43 (forall (@list @t1 @t63) (= @t63 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t63) (tptp.elts @t1 @t63))))) % 0.54/0.78 (assume @p44 (forall (@list @t1 @t46 @t64) (tptp.sort1 @t1 (tptp.get2 @t1 @t46 @t64)))) % 0.54/0.78 (assume @p45 (forall @t18 (tptp.sort1 tptp.int (tptp.t2tb @t12)))) % 0.54/0.78 (assume @p46 (forall (@list @t65) (= (tptp.tb2t @t66) @t65))) % 0.54/0.78 (assume @p47 (forall @t68 (= (tptp.t2tb (tptp.tb2t @t67)) @t67))) % 0.54/0.78 (assume @p48 (forall (@list @t1 @t51 @t65) (= (tptp.get2 @t1 @t51 @t65) (tptp.get @t1 tptp.int @t69 @t66)))) % 0.54/0.78 (assume @p49 (forall (@list @t1 @t46 @t64 @t2) (tptp.sort1 @t56 (tptp.set2 @t1 @t46 @t64 @t2)))) % 0.54/0.78 (assume @p50 (forall (@list @t1 @t51 @t65 @t70) (= (tptp.set2 @t1 @t51 @t65 @t70) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t51) (tptp.set @t1 tptp.int @t69 @t66 @t70))))) % 0.54/0.78 (assume @p51 (forall @t57 (tptp.sort1 @t56 (tptp.make1 @t1 @t12 @t3)))) % 0.54/0.78 (assume @p52 (forall (@list @t1 @t32 @t70) (= (tptp.make1 @t1 @t32 @t70) (tptp.mk_array1 @t1 @t32 (tptp.const @t1 tptp.int @t70))))) % 0.54/0.78 (assume @p53 (forall @t74 (=> (<= @t71 @t65) (= @t73 0)))) % 0.54/0.78 (assume @p54 (forall (@list @t75) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb1 @t75)))) % 0.54/0.78 (assume @p55 (forall (@list @t76) (= (tptp.tb2t1 (tptp.t2tb1 @t76)) @t76))) % 0.54/0.78 (assume @p56 (forall @t68 (= (tptp.t2tb1 (tptp.tb2t1 @t67)) @t67))) % 0.54/0.78 (assume @p57 (forall @t74 (=> @t78 (= @t73 (+ (tptp.tb2t (tptp.get tptp.int tptp.int @t77 @t66)) (tptp.sum2 @t72 (+ @t65 1) @t71)))))) % 0.54/0.78 (assume @p58 (forall @t74 (=> @t78 (= @t73 (+ (tptp.sum2 @t72 @t65 @t79) (tptp.tb2t (tptp.get tptp.int tptp.int @t77 (tptp.t2tb @t79)))))))) % 0.54/0.78 (assume @p59 (forall (@list @t72 @t65 @t80 @t71) (=> (and @t81 (<= @t80 @t71)) (= @t73 (+ (tptp.sum2 @t72 @t65 @t80) (tptp.sum2 @t72 @t80 @t71)))))) % 0.54/0.78 (assume @p60 (forall (@list @t83 @t82 @t65 @t71) (=> (forall @t85 (=> (and @t81 (< @t80 @t71)) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t83) @t84)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t82) @t84))))) (= (tptp.sum2 @t83 @t65 @t71) (tptp.sum2 @t82 @t65 @t71))))) % 0.54/0.78 (assume @p61 (forall (@list @t86) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb2 @t86)))) % 0.54/0.78 (assume @p62 (forall (@list @t87) (= (tptp.tb2t2 (tptp.t2tb2 @t87)) @t87))) % 0.54/0.78 (assume @p63 (forall @t68 (= (tptp.t2tb2 (tptp.tb2t2 @t67)) @t67))) % 0.54/0.78 (assume @p64 (forall (@list @t90 @t89 @t88) (= (tptp.sum3 @t90 @t89 @t88) (tptp.sum2 (tptp.tb2t1 (tptp.elts tptp.int (tptp.t2tb2 @t90))) @t89 @t88)))) % 0.54/0.78 (assume @p65 @t97) % 0.54/0.78 (assume @p66 @t104) % 0.54/0.78 (assume @p67 @t109) % 0.54/0.78 (assume @p68 true) % 0.54/0.78 (step @p69 :rule aci_norm :args ((= (or @t113 (or @t112 @t110)) @t114))) % 0.54/0.78 (step @p70 :rule bool-impl-elim :args (@t111 @t110)) % 0.54/0.78 (step @p71 :rule refl :args (@t113)) % 0.54/0.78 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t113 @t115))) % 0.54/0.78 (step @p73 :rule trans :premises (@p72 @p69)) % 0.54/0.78 (step @p74 :rule bool-impl-elim :args (@t102 @t115)) % 0.54/0.78 (step @p75 :rule trans :premises (@p74 @p73)) % 0.54/0.78 (step @p76 :rule cong :premises (@p75) :args ((forall @t18 (=> @t102 @t115)))) % 0.54/0.78 (step @p77 :rule arith_poly_norm :args ((= (* 1 (- @t92 @t12)) (* -1 @t116)))) % 0.54/0.78 (step @p78 :rule arith_poly_norm_rel :premises (@p77) :args ((= @t105 @t110))) % 0.54/0.78 (step @p79 :rule bool-double-not-elim :args (@t111)) % 0.54/0.78 (step @p80 :rule arith_poly_norm :args ((= (* 1 (- 2 @t117)) (* 1 (- 1 @t12))))) % 0.54/0.79 (step @p81 :rule arith_poly_norm_rel :premises (@p80) :args ((= (>= 2 @t117) @t118))) % 0.54/0.79 (step @p82 :rule arith-geq-tighten :args (@t12 2)) % 0.54/0.79 (step @p83 :rule trans :premises (@p82 @p81)) % 0.54/0.79 (step @p84 :rule symm :premises (@p83)) % 0.54/0.79 (step @p85 :rule cong :premises (@p84) :args ((not @t118))) % 0.54/0.79 (step @p86 :rule trans :premises (@p85 @p79)) % 0.54/0.79 (step @p87 :rule arith-elim-lt :args (1 @t12)) % 0.54/0.79 (step @p88 :rule trans :premises (@p87 @p86)) % 0.54/0.79 (step @p89 :rule cong :premises (@p88 @p78) :args (@t106)) % 0.54/0.79 (step @p90 :rule refl :args (@t102)) % 0.54/0.79 (step @p91 :rule cong :premises (@p90 @p89) :args (@t107)) % 0.54/0.79 (step @p92 :rule cong :premises (@p91) :args (@t108)) % 0.54/0.79 (step @p93 :rule trans :premises (@p92 @p76)) % 0.54/0.79 (step @p94 :rule cong :premises (@p93) :args (@t109)) % 0.54/0.79 (step @p95 :rule eq_resolve :premises (@p67 @p94)) % 0.54/0.79 (step @p96 :rule skolemize :premises (@p95)) % 0.54/0.79 (step @p97 :rule cnf_or_neg :args (@t127 2)) % 0.54/0.79 (step @p98 :rule chain_m_resolution :premises (@p97 @p96) :args (@t128 @t129 @t130)) % 0.54/0.79 (step @p99 :rule bool-and-de-morgan :args (@t131 @t99 true)) % 0.54/0.79 (step @p100 :rule cong :premises (@p99) :args (@t133)) % 0.54/0.79 (step @p101 :rule cong :premises (@p100) :args (@t134)) % 0.54/0.79 (step @p102 :rule exists-elim :args ((= (exists @t85 @t132) @t134))) % 0.54/0.79 (step @p103 :rule trans :premises (@p102 @p101)) % 0.54/0.79 (step @p104 :rule refl :args (@t99)) % 0.54/0.79 (step @p105 :rule arith-elim-leq :args (0 @t80)) % 0.54/0.79 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t100)) % 0.54/0.79 (step @p107 :rule cong :premises (@p106) :args (@t101)) % 0.54/0.79 (step @p108 :rule trans :premises (@p107 @p103)) % 0.54/0.79 (step @p109 :rule cong :premises (@p90 @p108) :args (@t103)) % 0.54/0.79 (step @p110 :rule cong :premises (@p109) :args (@t104)) % 0.54/0.79 (step @p111 :rule eq_resolve :premises (@p66 @p110)) % 0.54/0.79 (step @p112 :rule instantiate :premises (@p111) :args (@t135)) % 0.54/0.79 (step @p113 :rule bool-double-not-elim :args (@t125)) % 0.54/0.79 (step @p114 :rule refl :args (@t127)) % 0.54/0.79 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t127 (not @t126)))) % 0.54/0.79 (step @p116 :rule cnf_or_neg :args (@t127 0)) % 0.54/0.79 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.54/0.79 (step @p118 :rule reordering :premises (@p117) :args ((or @t125 @t127))) % 0.54/0.79 (step @p119 :rule chain_m_resolution :premises (@p118 @p96) :args (@t125 @t129 @t130)) % 0.54/0.79 (step @p120 :rule cnf_equiv_pos1 :args (@t138)) % 0.54/0.79 (step @p121 :rule reordering :premises (@p120) :args ((or @t126 @t137 (not @t138)))) % 0.54/0.79 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p112) :args (@t137 @t139 (@list @t125 @t138))) % 0.54/0.79 (step @p123 :rule skolemize :premises (@p122)) % 0.54/0.79 (step @p124 :rule bool-double-not-elim :args (@t142)) % 0.54/0.79 (step @p125 :rule refl :args (@t146)) % 0.54/0.79 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t146 (not @t143)))) % 0.54/0.79 (step @p127 :rule cnf_or_neg :args (@t146 1)) % 0.54/0.79 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.54/0.79 (step @p129 :rule reordering :premises (@p128) :args ((or @t142 @t146))) % 0.54/0.79 (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t142 @t129 @t147)) % 0.54/0.79 (step @p131 :rule bool-impl-elim :args (@t148 @t152)) % 0.54/0.79 (step @p132 :rule cong :premises (@p131) :args ((forall @t18 (=> @t148 @t152)))) % 0.54/0.79 (step @p133 :rule arith_poly_norm :args ((= (* -2 (- @t154 @t153)) (* -2 (- @t149 2))))) % 0.54/0.79 (step @p134 :rule arith_poly_norm_rel :premises (@p133) :args ((= @t155 @t150))) % 0.54/0.79 (step @p135 :rule cong :premises (@p134) :args ((not @t155))) % 0.54/0.79 (step @p136 :rule arith-leq-norm :args (@t154 @t92)) % 0.54/0.79 (step @p137 :rule trans :premises (@p136 @p135)) % 0.54/0.79 (step @p138 :rule refl :args (@t92)) % 0.54/0.79 (step @p139 :rule arith_poly_norm :args ((= (+ @t12 -1) @t154))) % 0.54/0.79 (step @p140 :rule evaluate :args (@t156)) % 0.54/0.79 (step @p141 :rule refl :args (@t12)) % 0.54/0.79 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t157)) % 0.54/0.79 (step @p143 :rule trans :premises (@p142 @p139)) % 0.54/0.79 (step @p144 :rule arith_poly_norm :args ((= @t93 @t157))) % 0.54/0.79 (step @p145 :rule trans :premises (@p144 @p143)) % 0.54/0.79 (step @p146 :rule cong :premises (@p145 @p138) :args (@t94)) % 0.54/0.79 (step @p147 :rule trans :premises (@p146 @p137)) % 0.54/0.79 (step @p148 :rule arith_poly_norm :args ((= (* 1 @t116) (* 1 (- @t149 0))))) % 0.54/0.79 (step @p149 :rule arith_poly_norm_rel :premises (@p148) :args ((= (>= @t12 @t92) @t151))) % 0.54/0.79 (step @p150 :rule arith-elim-leq :args (@t92 @t12)) % 0.54/0.79 (step @p151 :rule trans :premises (@p150 @p149)) % 0.54/0.79 (step @p152 :rule nary_cong :premises (@p151 @p147) :args (@t95)) % 0.54/0.79 (step @p153 :rule arith-elim-leq :args (0 @t12)) % 0.54/0.79 (step @p154 :rule cong :premises (@p153 @p152) :args (@t96)) % 0.54/0.79 (step @p155 :rule cong :premises (@p154) :args (@t97)) % 0.54/0.79 (step @p156 :rule trans :premises (@p155 @p132)) % 0.54/0.79 (step @p157 :rule eq_resolve :premises (@p65 @p156)) % 0.54/0.79 (step @p158 :rule instantiate :premises (@p157) :args (@t135)) % 0.54/0.79 (step @p159 :rule bool-double-not-elim :args (@t123)) % 0.54/0.79 (step @p160 :rule nary_cong :premises (@p114 @p159) :args ((or @t127 (not @t124)))) % 0.54/0.79 (step @p161 :rule cnf_or_neg :args (@t127 1)) % 0.54/0.79 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.54/0.79 (step @p163 :rule reordering :premises (@p162) :args ((or @t123 @t127))) % 0.54/0.79 (step @p164 :rule chain_m_resolution :premises (@p163 @p96) :args (@t123 @t129 @t130)) % 0.54/0.79 (step @p165 :rule bool-double-not-elim :args (@t158)) % 0.54/0.79 (step @p166 :rule refl :args (@t124)) % 0.54/0.79 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t124 (not @t159)))) % 0.54/0.79 (assume-push @p493 @t159) % 0.54/0.79 (assume-push @p494 @t123) % 0.54/0.79 (step @p170 :rule evaluate :args (@t160)) % 0.54/0.79 (step @p171 :rule refl :args (@t119)) % 0.54/0.79 (step @p172 :rule cong :premises (@p171 @p170) :args (@t161)) % 0.54/0.79 (step @p173 :rule cong :premises (@p172) :args ((not @t161))) % 0.54/0.79 (step @p174 :rule arith-leq-norm :args (@t119 -1)) % 0.54/0.79 (step @p175 :rule trans :premises (@p174 @p173)) % 0.54/0.79 (step @p176 :rule cong :premises (@p175) :args ((not @t162))) % 0.54/0.79 (step @p177 :rule trans :premises (@p176 @p165)) % 0.54/0.79 (step @p178 :rule arith-elim-leq :args (@t119 -1)) % 0.54/0.79 (step @p179 :rule symm :premises (@p178)) % 0.54/0.79 (step @p180 :rule cong :premises (@p179) :args ((not (>= -1 @t119)))) % 0.54/0.79 (step @p181 :rule arith-elim-gt :args (@t119 -1)) % 0.54/0.79 (step @p182 :rule trans :premises (@p181 @p180)) % 0.54/0.79 (step @p183 :rule trans :premises (@p182 @p177)) % 0.54/0.79 (step @p184 :rule cong :premises (@p183) :args ((not (> @t119 -1)))) % 0.54/0.79 (step @p185 :rule symm :premises (@p184)) % 0.54/0.79 (step @p186 :rule trans :premises (@p175 @p185)) % 0.54/0.79 (step @p187 :rule arith-elim-lt :args (@t119 0)) % 0.54/0.79 (step @p188 :rule symm :premises (@p187)) % 0.54/0.79 (step @p189 :rule eq_resolve :premises (@p493 @p188)) % 0.54/0.79 (step @p190 :rule int_tight_ub :premises (@p189)) % 0.54/0.79 (step @p191 :rule eq_resolve :premises (@p190 @p186)) % 0.54/0.79 (step @p192 :rule symm :premises (@p183)) % 0.54/0.79 (step @p193 :rule trans :premises (@p177 @p192)) % 0.54/0.79 (assume-push @p495 @t162) % 0.54/0.79 (step @p195 :rule evaluate :args ((<= 0 -3))) % 0.54/0.79 (step @p196 :rule evaluate :args ((+ -1 -2))) % 0.54/0.79 (step @p197 :rule evaluate :args (@t163)) % 0.54/0.79 (step @p198 :rule refl :args (-1)) % 0.54/0.79 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t164)) % 0.54/0.79 (step @p200 :rule trans :premises (@p199 @p196)) % 0.54/0.79 (step @p201 :rule arith_poly_norm :args (@t166)) % 0.54/0.79 (step @p202 :rule cong :premises (@p201 @p200) :args ((<= @t165 @t164))) % 0.54/0.79 (step @p203 :rule trans :premises (@p202 @p195)) % 0.54/0.79 (step @p204 :rule arith_mult_neg :args (-1 @t123)) % 0.54/0.79 (step @p205 :rule evaluate :args (@t167)) % 0.54/0.79 (step @p206 :rule true_elim :premises (@p205)) % 0.54/0.79 (step @p207 :rule and_intro :premises (@p206 @p164)) % 0.54/0.79 (step @p208 :rule modus_ponens :premises (@p207 @p204)) % 0.54/0.79 (step @p209 :rule arith_sum_ub :premises (@p495 @p208)) % 0.54/0.79 (step @p210 false :rule eq_resolve :premises (@p209 @p203)) % 0.54/0.79 (step-pop @p496 :rule scope :premises (@p210)) % 0.54/0.79 (step @p211 :rule process_scope :premises (@p496) :args (false)) % 0.54/0.79 (step @p213 :rule eq_resolve :premises (@p211 @p193)) % 0.54/0.79 (step @p214 false :rule contra :premises (@p213 @p191)) % 0.54/0.79 (step-pop @p497 :rule scope :premises (@p214)) % 0.54/0.79 (step-pop @p498 :rule scope :premises (@p497)) % 0.54/0.79 (step @p215 :rule process_scope :premises (@p498) :args (false)) % 0.54/0.79 (assume-push @p499 @t123) % 0.54/0.79 (assume-push @p500 @t159) % 0.54/0.79 (step @p220 :rule and_intro :premises (@p500 @p164)) % 0.54/0.79 (step-pop @p501 :rule scope :premises (@p220)) % 0.54/0.79 (step-pop @p502 :rule scope :premises (@p501)) % 0.54/0.79 (step @p221 :rule process_scope :premises (@p502) :args (@t168)) % 0.54/0.79 (step @p224 :rule implies_elim :premises (@p221)) % 0.54/0.79 (step @p225 :rule resolution :premises (@p224 @p215) :args (true @t168)) % 0.54/0.79 (step @p226 :rule not_and :premises (@p225)) % 0.54/0.79 (step @p227 :rule eq_resolve :premises (@p226 @p167)) % 0.54/0.79 (step @p228 :rule chain_m_resolution :premises (@p227 @p164) :args (@t158 @t169 (@list @t123))) % 0.54/0.79 (step @p229 :rule cnf_or_pos :args (@t176)) % 0.54/0.79 (step @p230 :rule reordering :premises (@p229) :args ((or @t159 @t175 (not @t176)))) % 0.54/0.79 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p158) :args (@t175 @t139 (@list @t158 @t176))) % 0.54/0.79 (step @p232 :rule cnf_and_pos :args (@t175 0)) % 0.54/0.79 (step @p233 :rule reordering :premises (@p232) :args ((or @t174 @t177))) % 0.54/0.79 (step @p234 :rule chain_m_resolution :premises (@p233 @p231) :args (@t174 @t169 @t178)) % 0.54/0.79 (step @p235 :rule cnf_and_pos :args (@t175 1)) % 0.54/0.79 (step @p236 :rule reordering :premises (@p235) :args ((or @t173 @t177))) % 0.54/0.79 (step @p237 :rule chain_m_resolution :premises (@p236 @p231) :args (@t173 @t169 @t178)) % 0.54/0.79 (step @p238 :rule bool-impl-elim :args (@t179 @t183)) % 0.54/0.79 (step @p239 :rule cong :premises (@p238) :args ((forall @t36 (=> @t179 @t183)))) % 0.54/0.79 (step @p240 :rule arith_poly_norm :args ((= (* @t12 @t181) @t182))) % 0.54/0.79 (step @p241 :rule arith_poly_norm :args ((= (+ @t32 -1) @t180))) % 0.54/0.79 (step @p242 :rule refl :args (@t32)) % 0.54/0.79 (step @p243 :rule nary_cong :premises (@p242 @p140) :args (@t184)) % 0.54/0.79 (step @p244 :rule trans :premises (@p243 @p241)) % 0.54/0.79 (step @p245 :rule arith_poly_norm :args ((= @t37 @t184))) % 0.54/0.79 (step @p246 :rule trans :premises (@p245 @p244)) % 0.54/0.79 (step @p247 :rule cong :premises (@p141 @p246) :args (@t38)) % 0.54/0.79 (step @p248 :rule nary_cong :premises (@p141 @p247) :args (@t39)) % 0.54/0.79 (step @p249 :rule trans :premises (@p248 @p240)) % 0.54/0.79 (step @p250 :rule refl :args (@t33)) % 0.54/0.79 (step @p251 :rule cong :premises (@p250 @p249) :args (@t40)) % 0.54/0.79 (step @p252 :rule bool-double-not-elim :args (@t179)) % 0.54/0.79 (step @p253 :rule arith_poly_norm :args ((= (* -1 (- 1 @t34)) (* -1 (- 0 @t32))))) % 0.54/0.79 (step @p254 :rule arith_poly_norm_rel :premises (@p253) :args ((= (>= 1 @t34) @t185))) % 0.54/0.79 (step @p255 :rule arith-geq-tighten :args (@t32 1)) % 0.54/0.79 (step @p256 :rule trans :premises (@p255 @p254)) % 0.54/0.79 (step @p257 :rule symm :premises (@p256)) % 0.54/0.79 (step @p258 :rule cong :premises (@p257) :args ((not @t185))) % 0.54/0.79 (step @p259 :rule trans :premises (@p258 @p252)) % 0.54/0.79 (step @p260 :rule arith-elim-lt :args (0 @t32)) % 0.54/0.79 (step @p261 :rule trans :premises (@p260 @p259)) % 0.54/0.79 (step @p262 :rule cong :premises (@p261 @p251) :args (@t41)) % 0.54/0.79 (step @p263 :rule cong :premises (@p262) :args (@t42)) % 0.54/0.79 (step @p264 :rule trans :premises (@p263 @p239)) % 0.54/0.79 (step @p265 :rule eq_resolve :premises (@p28 @p264)) % 0.54/0.79 (step @p266 :rule arith_poly_norm :args ((= @t188 @t187))) % 0.54/0.79 (step @p267 :rule refl :args (@t141)) % 0.54/0.79 (step @p268 :rule cong :premises (@p267 @p266) :args (@t189)) % 0.54/0.79 (step @p269 :rule refl :args (@t191)) % 0.54/0.79 (step @p270 :rule nary_cong :premises (@p269 @p268) :args (@t192)) % 0.54/0.79 (step @p271 :rule refl :args (@t193)) % 0.54/0.79 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t193 @t192))) % 0.54/0.79 (assume-push @p503 @t193) % 0.54/0.79 (step @p274 :rule instantiate :premises (@p265) :args ((@list 2 @t140))) % 0.54/0.79 (step-pop @p504 :rule scope :premises (@p274)) % 0.54/0.79 (step @p275 :rule process_scope :premises (@p504) :args (@t192)) % 0.54/0.79 (step @p277 :rule eq_resolve :premises (@p275 @p272)) % 0.54/0.79 (step @p278 :rule implies_elim :premises (@p277)) % 0.54/0.79 (step @p279 :rule chain_m_resolution :premises (@p278 @p265) :args (@t195 @t169 (@list @t193))) % 0.54/0.79 (step @p280 :rule instantiate :premises (@p26) :args (@t196)) % 0.54/0.79 (step @p281 :rule bool-double-not-elim :args (@t144)) % 0.54/0.79 (step @p282 :rule nary_cong :premises (@p125 @p281) :args ((or @t146 (not @t145)))) % 0.54/0.79 (step @p283 :rule cnf_or_neg :args (@t146 0)) % 0.54/0.79 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.54/0.79 (step @p285 :rule reordering :premises (@p284) :args ((or @t144 @t146))) % 0.54/0.79 (step @p286 :rule chain_m_resolution :premises (@p285 @p123) :args (@t144 @t129 @t147)) % 0.54/0.79 (step @p287 :rule refl :args (@t199)) % 0.54/0.79 (step @p288 :rule bool-double-not-elim :args (@t190)) % 0.54/0.79 (step @p289 :rule refl :args (@t143)) % 0.54/0.79 (step @p290 :rule refl :args (@t145)) % 0.54/0.79 (step @p291 :rule nary_cong :premises (@p166 @p290 @p289 @p288 @p287) :args ((or @t124 @t145 @t143 (not @t191) @t199))) % 0.54/0.79 (assume-push @p505 @t200) % 0.54/0.79 (assume-push @p506 @t123) % 0.54/0.79 (assume-push @p507 (= @t119 1)) % 0.54/0.79 (step @p295 :rule evaluate :args ((<= 0 -1))) % 0.54/0.79 (step @p296 :rule evaluate :args ((+ 1 -2))) % 0.54/0.79 (step @p197 :rule evaluate :args (@t163)) % 0.54/0.79 (step @p297 :rule refl :args (1)) % 0.54/0.79 (step @p298 :rule nary_cong :premises (@p297 @p197) :args (@t201)) % 0.54/0.79 (step @p299 :rule trans :premises (@p298 @p296)) % 0.54/0.79 (step @p201 :rule arith_poly_norm :args (@t166)) % 0.54/0.79 (step @p300 :rule cong :premises (@p201 @p299) :args ((<= @t165 @t201))) % 0.54/0.79 (step @p301 :rule trans :premises (@p300 @p295)) % 0.54/0.79 (step @p204 :rule arith_mult_neg :args (-1 @t123)) % 0.54/0.79 (step @p205 :rule evaluate :args (@t167)) % 0.54/0.79 (step @p206 :rule true_elim :premises (@p205)) % 0.54/0.79 (step @p207 :rule and_intro :premises (@p206 @p164)) % 0.54/0.79 (step @p208 :rule modus_ponens :premises (@p207 @p204)) % 0.54/0.79 (step @p302 :rule arith_sum_ub :premises (@p507 @p208)) % 0.54/0.79 (step @p303 false :rule eq_resolve :premises (@p302 @p301)) % 0.54/0.79 (step-pop @p508 :rule scope :premises (@p303)) % 0.54/0.79 (step @p304 :rule process_scope :premises (@p508) :args (false)) % 0.54/0.79 (step @p306 :rule symm :premises (@p505)) % 0.54/0.79 (step @p307 false :rule contra :premises (@p306 @p304)) % 0.54/0.79 (step-pop @p509 :rule scope :premises (@p307)) % 0.54/0.79 (step-pop @p510 :rule scope :premises (@p509)) % 0.54/0.79 (step @p308 :rule process_scope :premises (@p510) :args (false)) % 0.54/0.79 (assume-push @p511 @t123) % 0.54/0.79 (assume-push @p512 @t144) % 0.54/0.79 (assume-push @p513 @t142) % 0.54/0.79 (assume-push @p514 @t191) % 0.54/0.79 (assume-push @p515 @t198) % 0.54/0.79 (assume-push @p516 @t142) % 0.54/0.79 (assume-push @p517 @t202) % 0.54/0.79 (assume-push @p518 (= 1 @t197)) % 0.54/0.79 (step @p319 :rule symm :premises (@p130)) % 0.54/0.79 (step @p320 :rule refl :args (2)) % 0.54/0.79 (step @p321 :rule cong :premises (@p320 @p517) :args (@t197)) % 0.54/0.79 (step @p322 :rule instantiate :premises (@p26) :args (@t196)) % 0.54/0.79 (step @p323 :rule symm :premises (@p322)) % 0.54/0.79 (step @p324 :rule trans :premises (@p323 @p321 @p319)) % 0.54/0.79 (step-pop @p519 :rule scope :premises (@p324)) % 0.54/0.79 (step-pop @p520 :rule scope :premises (@p519)) % 0.54/0.79 (step-pop @p521 :rule scope :premises (@p520)) % 0.54/0.79 (step @p325 :rule process_scope :premises (@p521) :args (@t200)) % 0.54/0.79 (step @p329 :rule symm :premises (@p280)) % 0.54/0.79 (assume-push @p522 @t144) % 0.54/0.79 (assume-push @p523 @t191) % 0.54/0.79 (step @p332 :rule arith-elim-lt :args (@t140 1)) % 0.54/0.79 (step @p333 :rule symm :premises (@p332)) % 0.54/0.79 (step @p334 :rule eq_resolve :premises (@p514 @p333)) % 0.54/0.79 (step @p335 :rule int_tight_ub :premises (@p334)) % 0.54/0.79 (step @p336 :rule arith_trichotomy :premises (@p286 @p335)) % 0.54/0.79 (step @p337 :rule symm :premises (@p336)) % 0.54/0.79 (step-pop @p524 :rule scope :premises (@p337)) % 0.54/0.79 (step-pop @p525 :rule scope :premises (@p524)) % 0.54/0.79 (step @p338 :rule process_scope :premises (@p525) :args (@t202)) % 0.54/0.79 (step @p341 :rule and_intro :premises (@p286 @p514)) % 0.54/0.79 (step @p342 :rule modus_ponens :premises (@p341 @p338)) % 0.54/0.79 (step @p343 :rule and_intro :premises (@p130 @p342 @p329)) % 0.54/0.79 (step @p344 :rule modus_ponens :premises (@p343 @p325)) % 0.54/0.79 (step @p345 :rule and_intro :premises (@p344 @p164)) % 0.54/0.79 (step-pop @p526 :rule scope :premises (@p345)) % 0.54/0.79 (step-pop @p527 :rule scope :premises (@p526)) % 0.54/0.79 (step-pop @p528 :rule scope :premises (@p527)) % 0.54/0.79 (step-pop @p529 :rule scope :premises (@p528)) % 0.54/0.79 (step-pop @p530 :rule scope :premises (@p529)) % 0.54/0.79 (step @p346 :rule process_scope :premises (@p530) :args (@t203)) % 0.54/0.79 (step @p352 :rule implies_elim :premises (@p346)) % 0.54/0.79 (step @p353 :rule resolution :premises (@p352 @p308) :args (true @t203)) % 0.54/0.79 (step @p354 :rule not_and :premises (@p353)) % 0.54/0.79 (step @p355 :rule eq_resolve :premises (@p354 @p291)) % 0.54/0.79 (step @p356 :rule chain_m_resolution :premises (@p355 @p164 @p286 @p130 @p280) :args (@t190 (@list false false false false) (@list @t123 @t144 @t142 @t198))) % 0.54/0.79 (step @p357 :rule cnf_or_pos :args (@t195)) % 0.54/0.79 (step @p358 :rule reordering :premises (@p357) :args ((or @t191 @t194 (not @t195)))) % 0.54/0.79 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p279) :args (@t194 @t139 (@list @t190 @t195))) % 0.54/0.79 (step @p360 :rule refl :args (@t204)) % 0.54/0.79 (step @p361 :rule bool-double-not-elim :args (@t172)) % 0.54/0.79 (step @p362 :rule refl :args (@t205)) % 0.54/0.79 (step @p363 :rule bool-double-not-elim :args (@t122)) % 0.54/0.79 (step @p364 :rule nary_cong :premises (@p363 @p362 @p361 @p289 @p360) :args ((or (not @t128) @t205 (not @t173) @t143 @t204))) % 0.54/0.79 (assume-push @p531 @t142) % 0.54/0.79 (assume-push @p532 @t173) % 0.54/0.79 (assume-push @p533 @t128) % 0.54/0.79 (assume-push @p534 @t174) % 0.54/0.79 (assume-push @p535 @t194) % 0.54/0.79 (step @p370 :rule evaluate :args ((not true))) % 0.54/0.79 (step @p371 :rule eq-refl :args (@t187)) % 0.54/0.79 (step @p372 :rule arith_poly_norm :args ((= @t207 @t186))) % 0.54/0.79 (step @p320 :rule refl :args (2)) % 0.54/0.79 (step @p373 :rule nary_cong :premises (@p320 @p372) :args (@t208)) % 0.54/0.79 (step @p374 :rule arith_poly_norm :args ((= @t210 @t187))) % 0.54/0.79 (step @p375 :rule arith_poly_norm :args ((= (* -1 @t187) @t209))) % 0.54/0.79 (step @p198 :rule refl :args (-1)) % 0.54/0.79 (step @p376 :rule nary_cong :premises (@p198 @p374) :args (@t211)) % 0.54/0.79 (step @p377 :rule trans :premises (@p376 @p375)) % 0.54/0.79 (step @p378 :rule nary_cong :premises (@p198 @p377) :args (@t212)) % 0.54/0.79 (step @p379 :rule trans :premises (@p378 @p374)) % 0.54/0.79 (step @p380 :rule cong :premises (@p379 @p373) :args (@t213)) % 0.54/0.79 (step @p381 :rule trans :premises (@p380 @p371)) % 0.54/0.79 (step @p382 :rule cong :premises (@p381) :args ((not @t213))) % 0.54/0.79 (step @p383 :rule trans :premises (@p382 @p370)) % 0.54/0.79 (step @p384 :rule refl :args (@t120)) % 0.54/0.79 (step @p385 :rule cong :premises (@p384 @p372) :args ((= @t120 @t207))) % 0.54/0.79 (step @p386 :rule symm :premises (@p385)) % 0.54/0.79 (step @p387 :rule arith_poly_norm :args ((= (* 1 (- @t214 0)) (* 1 (- @t120 @t186))))) % 0.54/0.79 (step @p388 :rule arith_poly_norm_rel :premises (@p387) :args ((= (= @t214 0) (= @t120 @t186)))) % 0.54/0.79 (step @p389 :rule trans :premises (@p388 @p386)) % 0.54/0.79 (step @p390 :rule eq-refl :args (@t216)) % 0.54/0.79 (step @p391 :rule bool-double-not-elim :args (@t215)) % 0.54/0.79 (step @p392 :rule evaluate :args (@t217)) % 0.54/0.79 (step @p393 :rule refl :args (@t214)) % 0.54/0.79 (step @p394 :rule cong :premises (@p393 @p392) :args (@t218)) % 0.54/0.79 (step @p395 :rule cong :premises (@p394) :args ((not @t218))) % 0.54/0.79 (step @p396 :rule arith-leq-norm :args (@t214 0)) % 0.54/0.79 (step @p397 :rule trans :premises (@p396 @p395)) % 0.54/0.79 (step @p398 :rule cong :premises (@p397) :args ((not (<= @t214 0)))) % 0.54/0.79 (step @p399 :rule trans :premises (@p398 @p391)) % 0.54/0.79 (step @p400 :rule arith-elim-leq :args (@t214 0)) % 0.54/0.79 (step @p401 :rule symm :premises (@p400)) % 0.54/0.79 (step @p402 :rule cong :premises (@p401) :args ((not (>= 0 @t214)))) % 0.54/0.79 (step @p403 :rule arith-elim-gt :args (@t214 0)) % 0.54/0.79 (step @p404 :rule trans :premises (@p403 @p402)) % 0.54/0.79 (step @p405 :rule trans :premises (@p404 @p399)) % 0.54/0.79 (step @p406 :rule cong :premises (@p405) :args (@t219)) % 0.54/0.79 (step @p407 :rule refl :args (@t216)) % 0.54/0.79 (step @p408 :rule cong :premises (@p407 @p406) :args ((= @t216 @t219))) % 0.54/0.79 (step @p409 :rule trans :premises (@p408 @p390)) % 0.54/0.79 (step @p410 :rule true_elim :premises (@p409)) % 0.54/0.79 (step @p411 :rule arith_poly_norm :args ((= (* -2 (- 1 @t221)) (* -1 (- @t220 0))))) % 0.54/0.79 (step @p412 :rule arith_poly_norm_rel :premises (@p411) :args ((= (>= 1 @t221) (>= @t220 0)))) % 0.54/0.79 (step @p413 :rule arith-geq-tighten :args (@t214 1)) % 0.54/0.79 (step @p414 :rule trans :premises (@p413 @p412)) % 0.54/0.79 (step @p415 :rule symm :premises (@p414)) % 0.54/0.79 (step @p416 :rule refl :args (0)) % 0.54/0.79 (step @p417 :rule arith_poly_norm :args ((= (+ @t187 @t170) @t220))) % 0.54/0.79 (step @p418 :rule refl :args (@t170)) % 0.54/0.79 (step @p419 :rule nary_cong :premises (@p379 @p418) :args (@t222)) % 0.54/0.79 (step @p420 :rule trans :premises (@p419 @p417)) % 0.54/0.79 (step @p421 :rule cong :premises (@p420 @p416) :args ((>= @t222 0))) % 0.54/0.79 (step @p422 :rule trans :premises (@p421 @p415)) % 0.54/0.79 (step @p423 :rule cong :premises (@p267 @p374) :args ((= @t141 @t210))) % 0.54/0.79 (step @p424 :rule symm :premises (@p423)) % 0.54/0.79 (step @p425 :rule eq_resolve :premises (@p535 @p424)) % 0.54/0.79 (step @p426 :rule nary_cong :premises (@p198 @p425) :args (@t223)) % 0.54/0.79 (step @p427 :rule nary_cong :premises (@p198 @p426) :args (@t224)) % 0.54/0.79 (step @p428 :rule arith_poly_norm :args ((= @t224 @t141))) % 0.54/0.79 (step @p429 :rule refl :args (@t119)) % 0.54/0.79 (step @p430 :rule cong :premises (@p429 @p428) :args ((= @t119 @t224))) % 0.54/0.79 (step @p431 :rule symm :premises (@p430)) % 0.54/0.79 (step @p432 :rule eq_resolve :premises (@p130 @p431)) % 0.54/0.79 (step @p433 :rule trans :premises (@p432 @p427)) % 0.54/0.79 (step @p434 :rule nary_cong :premises (@p433 @p418) :args (@t171)) % 0.54/0.79 (step @p435 :rule cong :premises (@p434 @p416) :args (@t174)) % 0.54/0.79 (step @p436 :rule eq_resolve :premises (@p534 @p435)) % 0.54/0.79 (step @p437 :rule eq_resolve :premises (@p436 @p422)) % 0.54/0.79 (step @p438 :rule eq_resolve :premises (@p437 @p410)) % 0.54/0.79 (step @p439 :rule bool-double-not-elim :args ((>= @t214 0))) % 0.54/0.79 (step @p440 :rule arith_poly_norm :args ((= (* -2 (- 0 @t221)) (* -1 (- @t220 2))))) % 0.54/0.79 (step @p441 :rule arith_poly_norm_rel :premises (@p440) :args ((= (>= 0 @t221) (>= @t220 2)))) % 0.54/0.79 (step @p442 :rule arith-geq-tighten :args (@t214 0)) % 0.54/0.79 (step @p443 :rule trans :premises (@p442 @p441)) % 0.54/0.79 (step @p444 :rule symm :premises (@p443)) % 0.54/0.79 (step @p445 :rule cong :premises (@p420 @p320) :args (@t225)) % 0.54/0.79 (step @p446 :rule trans :premises (@p445 @p444)) % 0.54/0.79 (step @p447 :rule cong :premises (@p446) :args ((not @t225))) % 0.54/0.79 (step @p448 :rule trans :premises (@p447 @p439)) % 0.54/0.79 (step @p449 :rule eq_resolve :premises (@p535 @p424)) % 0.54/0.79 (step @p450 :rule nary_cong :premises (@p198 @p449) :args (@t223)) % 0.54/0.79 (step @p451 :rule nary_cong :premises (@p198 @p450) :args (@t224)) % 0.54/0.79 (step @p452 :rule trans :premises (@p432 @p451)) % 0.54/0.79 (step @p453 :rule nary_cong :premises (@p452 @p418) :args (@t171)) % 0.54/0.79 (step @p454 :rule cong :premises (@p453 @p320) :args (@t172)) % 0.54/0.79 (step @p455 :rule cong :premises (@p454) :args (@t173)) % 0.54/0.79 (step @p456 :rule eq_resolve :premises (@p532 @p455)) % 0.54/0.79 (step @p457 :rule eq_resolve :premises (@p456 @p448)) % 0.54/0.79 (step @p458 :rule arith_trichotomy :premises (@p457 @p438)) % 0.54/0.79 (step @p459 :rule eq_resolve :premises (@p458 @p389)) % 0.54/0.79 (step @p460 :rule nary_cong :premises (@p320 @p459) :args (@t121)) % 0.54/0.79 (step @p461 :rule eq_resolve :premises (@p535 @p424)) % 0.54/0.79 (step @p462 :rule nary_cong :premises (@p198 @p461) :args (@t223)) % 0.54/0.79 (step @p463 :rule nary_cong :premises (@p198 @p462) :args (@t224)) % 0.54/0.79 (step @p464 :rule trans :premises (@p432 @p463)) % 0.54/0.79 (step @p465 :rule cong :premises (@p464 @p460) :args (@t122)) % 0.54/0.79 (step @p466 :rule cong :premises (@p465) :args (@t128)) % 0.54/0.79 (step @p467 :rule eq_resolve :premises (@p98 @p466)) % 0.54/0.79 (step @p468 false :rule eq_resolve :premises (@p467 @p383)) % 0.54/0.79 (step-pop @p536 :rule scope :premises (@p468)) % 0.54/0.79 (step-pop @p537 :rule scope :premises (@p536)) % 0.54/0.79 (step-pop @p538 :rule scope :premises (@p537)) % 0.54/0.79 (step-pop @p539 :rule scope :premises (@p538)) % 0.54/0.79 (step-pop @p540 :rule scope :premises (@p539)) % 0.54/0.79 (step @p469 :rule process_scope :premises (@p540) :args (false)) % 0.54/0.79 (assume-push @p541 @t128) % 0.54/0.79 (assume-push @p542 @t174) % 0.54/0.79 (assume-push @p543 @t173) % 0.54/0.79 (assume-push @p544 @t142) % 0.54/0.79 (assume-push @p545 @t194) % 0.54/0.79 (step @p480 :rule and_intro :premises (@p130 @p543 @p98 @p542 @p545)) % 0.54/0.79 (step-pop @p546 :rule scope :premises (@p480)) % 0.54/0.79 (step-pop @p547 :rule scope :premises (@p546)) % 0.54/0.79 (step-pop @p548 :rule scope :premises (@p547)) % 0.54/0.79 (step-pop @p549 :rule scope :premises (@p548)) % 0.54/0.79 (step-pop @p550 :rule scope :premises (@p549)) % 0.54/0.79 (step @p481 :rule process_scope :premises (@p550) :args (@t226)) % 0.54/0.79 (step @p487 :rule implies_elim :premises (@p481)) % 0.54/0.79 (step @p488 :rule resolution :premises (@p487 @p469) :args (true @t226)) % 0.54/0.79 (step @p489 :rule not_and :premises (@p488)) % 0.54/0.79 (step @p490 :rule eq_resolve :premises (@p489 @p364)) % 0.54/0.79 (step @p491 :rule reordering :premises (@p490) :args ((or @t122 @t172 @t205 @t143 @t204))) % 0.54/0.79 (step @p492 false :rule chain_m_resolution :premises (@p491 @p359 @p237 @p234 @p130 @p98) :args (false (@list false true false false true) (@list @t194 @t172 @t174 @t142 @t122))) % 0.54/0.79 ) % 0.54/0.79 % SZS output end Proof % 0.54/0.79 % cvc5 exiting %------------------------------------------------------------------------------