%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW657_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 : n012.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 09:05:25 AM UTC 2026 % Result : Theorem 105.79s 106.09s % Output : Proof 105.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW657_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 22:21:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_ARI % 105.79/106.09 --- Run --finite-model-find --decision=internal at 45... % 105.79/106.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.79/106.09 --- Run --no-e-matching --full-saturate-quant at 45... % 105.79/106.09 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.79/106.09 % SZS status Theorem % 105.79/106.09 % SZS output start Proof % 105.79/106.09 ( % 105.79/106.09 (declare-sort tptp.array_int 0) % 105.79/106.09 (declare-sort tptp.tuple02 0) % 105.79/106.09 (declare-sort tptp.bool1 0) % 105.79/106.09 (declare-sort tptp.ty 0) % 105.79/106.09 (declare-sort tptp.uni 0) % 105.79/106.09 (declare-const tptp.tb2t1 (-> tptp.uni tptp.array_int)) % 105.79/106.09 (declare-const tptp.t2tb1 (-> tptp.array_int tptp.uni)) % 105.79/106.09 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.tb2t (-> tptp.uni Int)) % 105.79/106.09 (declare-const tptp.t2tb (-> Int tptp.uni)) % 105.79/106.09 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 105.79/106.09 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.int tptp.ty) % 105.79/106.09 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 105.79/106.09 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 105.79/106.09 (declare-const tptp.is_longest_common_prefix1 (-> tptp.array_int Int Int Int Bool)) % 105.79/106.09 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 105.79/106.09 (declare-const tptp.false1 tptp.bool1) % 105.79/106.09 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 105.79/106.09 (declare-const tptp.tuple03 tptp.tuple02) % 105.79/106.09 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 105.79/106.09 (declare-const tptp.is_common_prefix1 (-> tptp.array_int Int Int Int Bool)) % 105.79/106.09 (declare-const tptp.true1 tptp.bool1) % 105.79/106.09 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 105.79/106.09 (define @t1 () (@var "A" tptp.ty)) % 105.79/106.09 (define @t2 () (@var "X2" tptp.uni)) % 105.79/106.09 (define @t3 () (@var "X1" tptp.uni)) % 105.79/106.09 (define @t4 () (@var "X" tptp.bool1)) % 105.79/106.09 (define @t5 () (@var "Z" tptp.uni)) % 105.79/106.09 (define @t6 () (@var "Z1" tptp.uni)) % 105.79/106.09 (define @t7 () (@list @t1 @t5 @t6)) % 105.79/106.09 (define @t8 () (@var "U" tptp.bool1)) % 105.79/106.09 (define @t9 () (@var "U" tptp.tuple02)) % 105.79/106.09 (define @t10 () (@var "Z" Int)) % 105.79/106.09 (define @t11 () (@var "Y" Int)) % 105.79/106.09 (define @t12 () (@var "X" Int)) % 105.79/106.09 (define @t13 () (@var "X" tptp.uni)) % 105.79/106.09 (define @t14 () (@var "B" tptp.ty)) % 105.79/106.09 (define @t15 () (tptp.map @t1 @t14)) % 105.79/106.09 (define @t16 () (@var "B1" tptp.uni)) % 105.79/106.09 (define @t17 () (@var "A2" tptp.uni)) % 105.79/106.09 (define @t18 () (@var "A1" tptp.uni)) % 105.79/106.09 (define @t19 () (@var "M" tptp.uni)) % 105.79/106.09 (define @t20 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t18 @t16) @t17)) % 105.79/106.09 (define @t21 () (= @t18 @t17)) % 105.79/106.09 (define @t22 () (tptp.sort1 @t14 @t16)) % 105.79/106.09 (define @t23 () (tptp.array @t1)) % 105.79/106.09 (define @t24 () (@list @t1 @t12 @t3)) % 105.79/106.09 (define @t25 () (@var "U" Int)) % 105.79/106.09 (define @t26 () (@var "U1" tptp.uni)) % 105.79/106.09 (define @t27 () (tptp.mk_array1 @t1 @t25 @t26)) % 105.79/106.09 (define @t28 () (@list @t1 @t25 @t26)) % 105.79/106.09 (define @t29 () (tptp.map tptp.int @t1)) % 105.79/106.09 (define @t30 () (@var "U" tptp.uni)) % 105.79/106.09 (define @t31 () (@var "X1" Int)) % 105.79/106.09 (define @t32 () (@var "I" Int)) % 105.79/106.09 (define @t33 () (tptp.t2tb @t32)) % 105.79/106.09 (define @t34 () (@list @t32)) % 105.79/106.09 (define @t35 () (@var "J" tptp.uni)) % 105.79/106.09 (define @t36 () (@list @t35)) % 105.79/106.09 (define @t37 () (tptp.elts @t1 @t18)) % 105.79/106.09 (define @t38 () (@var "V" tptp.uni)) % 105.79/106.09 (define @t39 () (@var "N" Int)) % 105.79/106.09 (define @t40 () (@var "X" tptp.array_int)) % 105.79/106.09 (define @t41 () (@var "I" tptp.array_int)) % 105.79/106.09 (define @t42 () (@var "A" tptp.array_int)) % 105.79/106.09 (define @t43 () (tptp.t2tb1 @t42)) % 105.79/106.09 (define @t44 () (= (tptp.tb2t (tptp.get2 tptp.int @t43 (+ @t12 @t32))) (tptp.tb2t (tptp.get2 tptp.int @t43 (+ @t11 @t32))))) % 105.79/106.09 (define @t45 () (@var "L" Int)) % 105.79/106.09 (define @t46 () (and (<= 0 @t32) (< @t32 @t45))) % 105.79/106.09 (define @t47 () (=> @t46 @t44)) % 105.79/106.09 (define @t48 () (forall @t34 @t47)) % 105.79/106.09 (define @t49 () (tptp.length1 tptp.int @t43)) % 105.79/106.09 (define @t50 () (+ @t11 @t45)) % 105.79/106.09 (define @t51 () (+ @t12 @t45)) % 105.79/106.09 (define @t52 () (<= 0 @t45)) % 105.79/106.09 (define @t53 () (and @t52 (<= @t51 @t49) (<= @t50 @t49) @t48)) % 105.79/106.09 (define @t54 () (tptp.is_common_prefix1 @t42 @t12 @t11 @t45)) % 105.79/106.09 (define @t55 () (= @t54 @t53)) % 105.79/106.09 (define @t56 () (@list @t42 @t12 @t11 @t45)) % 105.79/106.09 (define @t57 () (forall @t56 @t55)) % 105.79/106.09 (define @t58 () (+ @t45 1)) % 105.79/106.09 (define @t59 () (tptp.is_common_prefix1 @t42 @t12 @t11 @t58)) % 105.79/106.09 (define @t60 () (not @t59)) % 105.79/106.09 (define @t61 () (@var "M" Int)) % 105.79/106.09 (define @t62 () (not (tptp.is_common_prefix1 @t42 @t12 @t11 @t61))) % 105.79/106.09 (define @t63 () (=> (< @t45 @t61) @t62)) % 105.79/106.09 (define @t64 () (@list @t61)) % 105.79/106.09 (define @t65 () (forall @t64 @t63)) % 105.79/106.09 (define @t66 () (and @t54 @t65)) % 105.79/106.09 (define @t67 () (tptp.is_longest_common_prefix1 @t42 @t12 @t11 @t45)) % 105.79/106.09 (define @t68 () (= @t67 @t66)) % 105.79/106.09 (define @t69 () (forall @t56 @t68)) % 105.79/106.09 (define @t70 () (and @t54 @t60)) % 105.79/106.09 (define @t71 () (=> @t70 @t67)) % 105.79/106.09 (define @t72 () (forall @t56 @t71)) % 105.79/106.09 (define @t73 () (not @t72)) % 105.79/106.09 (define @t74 () (* -1 @t61)) % 105.79/106.09 (define @t75 () (+ @t45 @t74)) % 105.79/106.09 (define @t76 () (>= @t75 0)) % 105.79/106.09 (define @t77 () (not @t76)) % 105.79/106.09 (define @t78 () (>= @t45 @t61)) % 105.79/106.09 (define @t79 () (+ 1 @t45)) % 105.79/106.09 (define @t80 () (tptp.is_common_prefix1 @t42 @t12 @t11 @t79)) % 105.79/106.09 (define @t81 () (not @t54)) % 105.79/106.09 (define @t82 () (or @t81 @t80 @t67)) % 105.79/106.09 (define @t83 () (forall @t56 @t82)) % 105.79/106.09 (define @t84 () (@quantifiers_skolemize @t83 2)) % 105.79/106.09 (define @t85 () (@quantifiers_skolemize @t83 1)) % 105.79/106.09 (define @t86 () (@quantifiers_skolemize @t83 0)) % 105.79/106.09 (define @t87 () (not (tptp.is_common_prefix1 @t86 @t85 @t84 @t61))) % 105.79/106.09 (define @t88 () (@quantifiers_skolemize @t83 3)) % 105.79/106.09 (define @t89 () (+ @t74 @t88)) % 105.79/106.09 (define @t90 () (* -1 @t88)) % 105.79/106.09 (define @t91 () (+ @t61 @t90)) % 105.79/106.09 (define @t92 () (+ @t91 1)) % 105.79/106.09 (define @t93 () (+ @t88 @t74)) % 105.79/106.09 (define @t94 () (>= @t93 0)) % 105.79/106.09 (define @t95 () (or @t94 @t87)) % 105.79/106.09 (define @t96 () (forall @t64 @t95)) % 105.79/106.09 (define @t97 () (tptp.is_common_prefix1 @t86 @t85 @t84 @t88)) % 105.79/106.09 (define @t98 () (and @t97 @t96)) % 105.79/106.09 (define @t99 () (tptp.is_longest_common_prefix1 @t86 @t85 @t84 @t88)) % 105.79/106.09 (define @t100 () (= @t99 @t98)) % 105.79/106.09 (define @t101 () (forall @t56 (= @t67 (and @t54 (forall @t64 (or @t76 @t62)))))) % 105.79/106.09 (define @t102 () (@list @t86 @t85 @t84 @t88)) % 105.79/106.09 (define @t103 () (forall @t64 (or (not (>= @t91 1)) @t87))) % 105.79/106.09 (define @t104 () (and @t97 @t103)) % 105.79/106.09 (define @t105 () (= @t99 @t104)) % 105.79/106.09 (define @t106 () (@list false)) % 105.79/106.09 (define @t107 () (not @t80)) % 105.79/106.09 (define @t108 () (and @t54 @t107)) % 105.79/106.09 (define @t109 () (+ 1 @t88)) % 105.79/106.09 (define @t110 () (tptp.is_common_prefix1 @t86 @t85 @t84 @t109)) % 105.79/106.09 (define @t111 () (not @t97)) % 105.79/106.09 (define @t112 () (or @t111 @t110 @t99)) % 105.79/106.09 (define @t113 () (@list true)) % 105.79/106.09 (define @t114 () (@list @t112)) % 105.79/106.09 (define @t115 () (not @t104)) % 105.79/106.09 (define @t116 () (@list true false)) % 105.79/106.09 (define @t117 () (not @t103)) % 105.79/106.09 (define @t118 () (@quantifiers_skolemize @t103 0)) % 105.79/106.09 (define @t119 () (tptp.is_common_prefix1 @t86 @t85 @t84 @t118)) % 105.79/106.09 (define @t120 () (not @t119)) % 105.79/106.09 (define @t121 () (* -1 @t118)) % 105.79/106.09 (define @t122 () (+ @t88 @t121)) % 105.79/106.09 (define @t123 () (>= @t122 0)) % 105.79/106.09 (define @t124 () (or @t123 @t120)) % 105.79/106.09 (define @t125 () (not @t124)) % 105.79/106.09 (define @t126 () (+ @t90 @t118)) % 105.79/106.09 (define @t127 () (+ @t122 1)) % 105.79/106.09 (define @t128 () (+ @t118 @t90)) % 105.79/106.09 (define @t129 () (>= @t128 1)) % 105.79/106.09 (define @t130 () (not @t129)) % 105.79/106.09 (define @t131 () (or @t130 @t120)) % 105.79/106.09 (define @t132 () (not @t131)) % 105.79/106.09 (define @t133 () (not @t123)) % 105.79/106.09 (define @t134 () (@list @t124)) % 105.79/106.09 (define @t135 () (+ @t32 (* -1 @t45))) % 105.79/106.09 (define @t136 () (>= @t135 0)) % 105.79/106.09 (define @t137 () (>= @t32 0)) % 105.79/106.09 (define @t138 () (not @t137)) % 105.79/106.09 (define @t139 () (or @t138 @t136 @t44)) % 105.79/106.09 (define @t140 () (not @t136)) % 105.79/106.09 (define @t141 () (and @t137 @t140)) % 105.79/106.09 (define @t142 () (>= @t32 @t45)) % 105.79/106.09 (define @t143 () (* -1 @t49)) % 105.79/106.09 (define @t144 () (+ @t11 @t45 @t143)) % 105.79/106.09 (define @t145 () (+ @t49 1)) % 105.79/106.09 (define @t146 () (>= @t144 1)) % 105.79/106.09 (define @t147 () (>= @t50 @t145)) % 105.79/106.09 (define @t148 () (+ @t12 @t45 @t143)) % 105.79/106.09 (define @t149 () (>= @t148 1)) % 105.79/106.09 (define @t150 () (>= @t51 @t145)) % 105.79/106.09 (define @t151 () (+ @t32 @t84)) % 105.79/106.09 (define @t152 () (+ @t84 @t32)) % 105.79/106.09 (define @t153 () (tptp.t2tb1 @t86)) % 105.79/106.09 (define @t154 () (tptp.get2 tptp.int @t153 @t152)) % 105.79/106.09 (define @t155 () (tptp.tb2t @t154)) % 105.79/106.09 (define @t156 () (+ @t32 @t85)) % 105.79/106.09 (define @t157 () (+ @t85 @t32)) % 105.79/106.09 (define @t158 () (tptp.get2 tptp.int @t153 @t157)) % 105.79/106.09 (define @t159 () (tptp.tb2t @t158)) % 105.79/106.09 (define @t160 () (= @t159 @t155)) % 105.79/106.09 (define @t161 () (>= (+ @t32 @t121) 0)) % 105.79/106.09 (define @t162 () (or @t138 @t161 @t160)) % 105.79/106.09 (define @t163 () (forall @t34 @t162)) % 105.79/106.09 (define @t164 () (tptp.length1 tptp.int @t153)) % 105.79/106.09 (define @t165 () (* -1 @t164)) % 105.79/106.09 (define @t166 () (+ @t84 @t118 @t165)) % 105.79/106.09 (define @t167 () (>= @t166 1)) % 105.79/106.09 (define @t168 () (not @t167)) % 105.79/106.09 (define @t169 () (+ @t85 @t118 @t165)) % 105.79/106.09 (define @t170 () (>= @t169 1)) % 105.79/106.09 (define @t171 () (not @t170)) % 105.79/106.09 (define @t172 () (>= @t118 0)) % 105.79/106.09 (define @t173 () (and @t172 @t171 @t168 @t163)) % 105.79/106.09 (define @t174 () (= @t119 @t173)) % 105.79/106.09 (define @t175 () (forall @t56 (= @t54 (and (>= @t45 0) (not @t149) (not @t146) (forall @t34 @t139))))) % 105.79/106.09 (define @t176 () (= (tptp.tb2t (tptp.get2 tptp.int @t153 @t156)) (tptp.tb2t (tptp.get2 tptp.int @t153 @t151)))) % 105.79/106.09 (define @t177 () (forall @t34 (or @t138 @t161 @t176))) % 105.79/106.09 (define @t178 () (and @t172 @t171 @t168 @t177)) % 105.79/106.09 (define @t179 () (= @t119 @t178)) % 105.79/106.09 (define @t180 () (@list @t175)) % 105.79/106.09 (define @t181 () (@list false false)) % 105.79/106.09 (define @t182 () (not @t178)) % 105.79/106.09 (define @t183 () (@list @t178)) % 105.79/106.09 (define @t184 () (+ @t32 @t90)) % 105.79/106.09 (define @t185 () (>= @t184 1)) % 105.79/106.09 (define @t186 () (forall @t34 (or @t138 @t185 @t176))) % 105.79/106.09 (define @t187 () (@quantifiers_skolemize @t186 0)) % 105.79/106.09 (define @t188 () (>= @t187 0)) % 105.79/106.09 (define @t189 () (+ @t84 @t187)) % 105.79/106.09 (define @t190 () (+ @t85 @t187)) % 105.79/106.09 (define @t191 () (= (tptp.tb2t (tptp.get2 tptp.int @t153 @t190)) (tptp.tb2t (tptp.get2 tptp.int @t153 @t189)))) % 105.79/106.09 (define @t192 () (* -1 @t187)) % 105.79/106.09 (define @t193 () (+ @t88 @t192)) % 105.79/106.09 (define @t194 () (>= @t193 0)) % 105.79/106.09 (define @t195 () (not @t194)) % 105.79/106.09 (define @t196 () (not @t188)) % 105.79/106.09 (define @t197 () (or @t196 @t195 @t191)) % 105.79/106.09 (define @t198 () (+ @t187 @t84)) % 105.79/106.09 (define @t199 () (tptp.get2 tptp.int @t153 @t198)) % 105.79/106.09 (define @t200 () (tptp.tb2t @t199)) % 105.79/106.09 (define @t201 () (+ @t187 @t85)) % 105.79/106.09 (define @t202 () (tptp.get2 tptp.int @t153 @t201)) % 105.79/106.09 (define @t203 () (tptp.tb2t @t202)) % 105.79/106.09 (define @t204 () (= @t203 @t200)) % 105.79/106.09 (define @t205 () (+ @t121 @t187)) % 105.79/106.09 (define @t206 () (+ @t118 @t192)) % 105.79/106.09 (define @t207 () (+ @t206 1)) % 105.79/106.09 (define @t208 () (+ @t187 @t121)) % 105.79/106.09 (define @t209 () (>= @t208 0)) % 105.79/106.09 (define @t210 () (or @t196 @t209 @t204)) % 105.79/106.09 (define @t211 () (>= @t206 1)) % 105.79/106.09 (define @t212 () (not @t211)) % 105.79/106.09 (define @t213 () (or @t196 @t212 @t191)) % 105.79/106.09 (define @t214 () (not @t133)) % 105.79/106.09 (define @t215 () (not (>= -1 @t122))) % 105.79/106.09 (define @t216 () (+ -1 1)) % 105.79/106.09 (define @t217 () (>= @t122 @t216)) % 105.79/106.09 (define @t218 () (not @t217)) % 105.79/106.09 (define @t219 () (<= @t122 -1)) % 105.79/106.09 (define @t220 () (not @t219)) % 105.79/106.09 (define @t221 () (not true)) % 105.79/106.09 (define @t222 () (>= 0 0)) % 105.79/106.09 (define @t223 () (+ -1 0 1)) % 105.79/106.09 (define @t224 () (* -1 0)) % 105.79/106.09 (define @t225 () (+ -1 @t224 1)) % 105.79/106.09 (define @t226 () (* 0 @t88)) % 105.79/106.09 (define @t227 () (= @t226 0)) % 105.79/106.09 (define @t228 () (* 0 @t187)) % 105.79/106.09 (define @t229 () (+ @t228 @t121 @t118 @t226)) % 105.79/106.09 (define @t230 () (+ @t122 (* -1 @t193) @t206)) % 105.79/106.09 (define @t231 () (>= @t230 @t225)) % 105.79/106.09 (define @t232 () (< -1 0)) % 105.79/106.09 (define @t233 () (and @t212 @t194 @t133)) % 105.79/106.09 (define @t234 () (not @t197)) % 105.79/106.09 (define @t235 () (not @t186)) % 105.79/106.09 (define @t236 () (+ @t90 @t187)) % 105.79/106.09 (define @t237 () (+ @t193 1)) % 105.79/106.09 (define @t238 () (+ @t187 @t90)) % 105.79/106.09 (define @t239 () (>= @t238 1)) % 105.79/106.09 (define @t240 () (or @t196 @t239 @t204)) % 105.79/106.09 (define @t241 () (not @t240)) % 105.79/106.09 (define @t242 () (>= @t184 0)) % 105.79/106.09 (define @t243 () (or @t138 @t242 @t160)) % 105.79/106.09 (define @t244 () (forall @t34 @t243)) % 105.79/106.09 (define @t245 () (+ @t84 @t88 @t165)) % 105.79/106.09 (define @t246 () (not (>= @t245 1))) % 105.79/106.09 (define @t247 () (+ @t85 @t88 @t165)) % 105.79/106.09 (define @t248 () (not (>= @t247 1))) % 105.79/106.09 (define @t249 () (>= @t88 0)) % 105.79/106.09 (define @t250 () (and @t249 @t248 @t246 @t244)) % 105.79/106.09 (define @t251 () (= @t97 @t250)) % 105.79/106.09 (define @t252 () (and @t249 @t248 @t246 (forall @t34 (or @t138 @t242 @t176)))) % 105.79/106.09 (define @t253 () (= @t97 @t252)) % 105.79/106.09 (define @t254 () (>= @t88 -1)) % 105.79/106.09 (define @t255 () (< @t88 -1)) % 105.79/106.09 (define @t256 () (+ -1 @t224)) % 105.79/106.09 (define @t257 () (+ @t88 @t90)) % 105.79/106.09 (define @t258 () (>= @t257 @t256)) % 105.79/106.09 (define @t259 () (+ -1 @t32 @t90)) % 105.79/106.09 (define @t260 () (+ -1 @t90)) % 105.79/106.09 (define @t261 () (* -1 @t109)) % 105.79/106.09 (define @t262 () (+ @t32 @t261)) % 105.79/106.09 (define @t263 () (>= @t262 0)) % 105.79/106.09 (define @t264 () (or @t138 @t263 @t160)) % 105.79/106.09 (define @t265 () (forall @t34 @t264)) % 105.79/106.09 (define @t266 () (+ 1 @t84 @t88 @t165)) % 105.79/106.09 (define @t267 () (>= @t245 0)) % 105.79/106.09 (define @t268 () (+ @t165 @t88 @t84 1)) % 105.79/106.09 (define @t269 () (+ @t84 @t109 @t165)) % 105.79/106.09 (define @t270 () (>= @t269 1)) % 105.79/106.09 (define @t271 () (not @t270)) % 105.79/106.09 (define @t272 () (+ 1 @t85 @t88 @t165)) % 105.79/106.09 (define @t273 () (>= @t247 0)) % 105.79/106.09 (define @t274 () (+ @t165 @t88 @t85 1)) % 105.79/106.09 (define @t275 () (+ @t85 @t109 @t165)) % 105.79/106.09 (define @t276 () (>= @t275 1)) % 105.79/106.09 (define @t277 () (not @t276)) % 105.79/106.09 (define @t278 () (>= @t109 0)) % 105.79/106.09 (define @t279 () (and @t278 @t277 @t271 @t265)) % 105.79/106.09 (define @t280 () (= @t110 @t279)) % 105.79/106.09 (define @t281 () (not @t267)) % 105.79/106.09 (define @t282 () (not @t273)) % 105.79/106.09 (define @t283 () (and @t254 @t282 @t281 @t186)) % 105.79/106.09 (define @t284 () (= @t110 @t283)) % 105.79/106.09 (define @t285 () (not @t283)) % 105.79/106.09 (define @t286 () (+ @t224 0 -1)) % 105.79/106.09 (define @t287 () (= (+ @t121 @t118 0 0 0) 0)) % 105.79/106.09 (define @t288 () (* 0 @t84)) % 105.79/106.09 (define @t289 () (* 0 @t164)) % 105.79/106.09 (define @t290 () (= @t289 0)) % 105.79/106.09 (define @t291 () (+ @t121 @t118 @t289 @t226 @t288)) % 105.79/106.09 (define @t292 () (+ (* -1 @t245) @t166 @t122)) % 105.79/106.09 (define @t293 () (not @t254)) % 105.79/106.09 (define @t294 () (* 0 @t85)) % 105.79/106.09 (define @t295 () (+ @t121 @t118 @t289 @t226 @t294)) % 105.79/106.09 (define @t296 () (+ @t122 (* -1 @t247) @t169)) % 105.79/106.09 (define @t297 () (>= @t296 @t225)) % 105.79/106.09 (define @t298 () (and @t171 @t273 @t133)) % 105.79/106.09 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 105.79/106.09 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 105.79/106.09 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 105.79/106.09 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 105.79/106.09 (assume @p5 (not (= tptp.true1 tptp.false1))) % 105.79/106.09 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 105.79/106.09 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 105.79/106.09 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 105.79/106.09 (assume @p9 (forall (@list @t1 @t14 @t13 @t3) (tptp.sort1 @t14 (tptp.get @t14 @t1 @t13 @t3)))) % 105.79/106.09 (assume @p10 (forall (@list @t1 @t14 @t13 @t3 @t2) (tptp.sort1 @t15 (tptp.set @t14 @t1 @t13 @t3 @t2)))) % 105.79/106.09 (assume @p11 (forall (@list @t1 @t14 @t19 @t18 @t17 @t16) (=> @t22 (=> @t21 (= @t20 @t16))))) % 105.79/106.09 (assume @p12 (forall (@list @t1 @t14 @t19 @t18 @t17) (=> (tptp.sort1 @t1 @t18) (=> (tptp.sort1 @t1 @t17) (forall (@list @t16) (=> (not @t21) (= @t20 (tptp.get @t14 @t1 @t19 @t17)))))))) % 105.79/106.09 (assume @p13 (forall (@list @t1 @t14 @t13) (tptp.sort1 @t15 (tptp.const @t14 @t1 @t13)))) % 105.79/106.09 (assume @p14 (forall (@list @t1 @t14 @t16 @t18) (=> @t22 (= (tptp.get @t14 @t1 (tptp.const @t14 @t1 @t16) @t18) @t16)))) % 105.79/106.09 (assume @p15 (forall @t24 (tptp.sort1 @t23 (tptp.mk_array1 @t1 @t12 @t3)))) % 105.79/106.09 (assume @p16 (forall @t28 (= (tptp.length1 @t1 @t27) @t25))) % 105.79/106.09 (assume @p17 (forall (@list @t1 @t13) (tptp.sort1 @t29 (tptp.elts @t1 @t13)))) % 105.79/106.09 (assume @p18 (forall @t28 (=> (tptp.sort1 @t29 @t26) (= (tptp.elts @t1 @t27) @t26)))) % 105.79/106.09 (assume @p19 (forall (@list @t1 @t30) (= @t30 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t30) (tptp.elts @t1 @t30))))) % 105.79/106.09 (assume @p20 (forall (@list @t1 @t13 @t31) (tptp.sort1 @t1 (tptp.get2 @t1 @t13 @t31)))) % 105.79/106.09 (assume @p21 (forall (@list @t12) (tptp.sort1 tptp.int (tptp.t2tb @t12)))) % 105.79/106.09 (assume @p22 (forall @t34 (= (tptp.tb2t @t33) @t32))) % 105.79/106.09 (assume @p23 (forall @t36 (= (tptp.t2tb (tptp.tb2t @t35)) @t35))) % 105.79/106.09 (assume @p24 (forall (@list @t1 @t18 @t32) (= (tptp.get2 @t1 @t18 @t32) (tptp.get @t1 tptp.int @t37 @t33)))) % 105.79/106.09 (assume @p25 (forall (@list @t1 @t13 @t31 @t2) (tptp.sort1 @t23 (tptp.set2 @t1 @t13 @t31 @t2)))) % 105.79/106.09 (assume @p26 (forall (@list @t1 @t18 @t32 @t38) (= (tptp.set2 @t1 @t18 @t32 @t38) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t18) (tptp.set @t1 tptp.int @t37 @t33 @t38))))) % 105.79/106.09 (assume @p27 (forall @t24 (tptp.sort1 @t23 (tptp.make1 @t1 @t12 @t3)))) % 105.79/106.09 (assume @p28 (forall (@list @t1 @t39 @t38) (= (tptp.make1 @t1 @t39 @t38) (tptp.mk_array1 @t1 @t39 (tptp.const @t1 tptp.int @t38))))) % 105.79/106.09 (assume @p29 (forall (@list @t40) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb1 @t40)))) % 105.79/106.09 (assume @p30 (forall (@list @t41) (= (tptp.tb2t1 (tptp.t2tb1 @t41)) @t41))) % 105.79/106.09 (assume @p31 (forall @t36 (= (tptp.t2tb1 (tptp.tb2t1 @t35)) @t35))) % 105.79/106.09 (assume @p32 @t57) % 105.79/106.09 (assume @p33 (forall @t56 (=> (and @t52 (< @t51 @t49) (< @t50 @t49) (not (= (tptp.tb2t (tptp.get2 tptp.int @t43 @t51)) (tptp.tb2t (tptp.get2 tptp.int @t43 @t50))))) @t60))) % 105.79/106.09 (assume @p34 @t69) % 105.79/106.09 (assume @p35 @t73) % 105.79/106.09 (assume @p36 true) % 105.79/106.09 (step @p37 :rule refl :args (@t62)) % 105.79/106.09 (step @p38 :rule bool-double-not-elim :args (@t76)) % 105.79/106.09 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t77) @t62))) % 105.79/106.09 (step @p40 :rule bool-impl-elim :args (@t77 @t62)) % 105.79/106.09 (step @p41 :rule trans :premises (@p40 @p39)) % 105.79/106.09 (step @p42 :rule cong :premises (@p41) :args ((forall @t64 (=> @t77 @t62)))) % 105.79/106.09 (step @p43 :rule refl :args (@t62)) % 105.79/106.09 (step @p44 :rule arith_poly_norm :args ((= (* 1 (- @t45 @t61)) (* 1 (- @t75 0))))) % 105.79/106.09 (step @p45 :rule arith_poly_norm_rel :premises (@p44) :args ((= @t78 @t76))) % 105.79/106.09 (step @p46 :rule cong :premises (@p45) :args ((not @t78))) % 105.79/106.09 (step @p47 :rule arith-elim-lt :args (@t45 @t61)) % 105.79/106.09 (step @p48 :rule trans :premises (@p47 @p46)) % 105.79/106.09 (step @p49 :rule cong :premises (@p48 @p43) :args (@t63)) % 105.79/106.09 (step @p50 :rule cong :premises (@p49) :args (@t65)) % 105.79/106.09 (step @p51 :rule trans :premises (@p50 @p42)) % 105.79/106.09 (step @p52 :rule refl :args (@t54)) % 105.79/106.09 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t66)) % 105.79/106.09 (step @p54 :rule refl :args (@t67)) % 105.79/106.09 (step @p55 :rule cong :premises (@p54 @p53) :args (@t68)) % 105.79/106.09 (step @p56 :rule cong :premises (@p55) :args (@t69)) % 105.79/106.09 (step @p57 :rule eq_resolve :premises (@p34 @p56)) % 105.79/106.09 (step @p58 :rule refl :args (@t87)) % 105.79/106.09 (step @p59 :rule arith_poly_norm :args ((= (* -1 (- 1 @t92)) (* -1 (- @t89 0))))) % 105.79/106.09 (step @p60 :rule arith_poly_norm_rel :premises (@p59) :args ((= (>= 1 @t92) (>= @t89 0)))) % 105.79/106.09 (step @p61 :rule arith-geq-tighten :args (@t91 1)) % 105.79/106.09 (step @p62 :rule trans :premises (@p61 @p60)) % 105.79/106.09 (step @p63 :rule symm :premises (@p62)) % 105.79/106.09 (step @p64 :rule refl :args (0)) % 105.79/106.09 (step @p65 :rule arith_poly_norm :args ((= @t93 @t89))) % 105.79/106.09 (step @p66 :rule cong :premises (@p65 @p64) :args (@t94)) % 105.79/106.09 (step @p67 :rule trans :premises (@p66 @p63)) % 105.79/106.09 (step @p68 :rule nary_cong :premises (@p67 @p58) :args (@t95)) % 105.79/106.09 (step @p69 :rule cong :premises (@p68) :args (@t96)) % 105.79/106.09 (step @p70 :rule refl :args (@t97)) % 105.79/106.09 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t98)) % 105.79/106.09 (step @p72 :rule refl :args (@t99)) % 105.79/106.09 (step @p73 :rule cong :premises (@p72 @p71) :args (@t100)) % 105.79/106.09 (step @p74 :rule refl :args (@t101)) % 105.79/106.09 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t101 @t100))) % 105.79/106.09 (assume-push @p578 @t101) % 105.79/106.09 (step @p77 :rule instantiate :premises (@p57) :args (@t102)) % 105.79/106.09 (step-pop @p579 :rule scope :premises (@p77)) % 105.79/106.09 (step @p78 :rule process_scope :premises (@p579) :args (@t100)) % 105.79/106.09 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 105.79/106.09 (step @p81 :rule implies_elim :premises (@p80)) % 105.79/106.09 (step @p82 :rule chain_m_resolution :premises (@p81 @p57) :args (@t105 @t106 (@list @t101))) % 105.79/106.09 (step @p83 :rule aci_norm :args ((= (or (or @t81 @t80) @t67) @t82))) % 105.79/106.09 (step @p84 :rule refl :args (@t67)) % 105.79/106.09 (step @p85 :rule bool-double-not-elim :args (@t80)) % 105.79/106.09 (step @p86 :rule refl :args (@t81)) % 105.79/106.09 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t81 (not @t107)))) % 105.79/106.09 (step @p88 :rule bool-and-de-morgan :args (@t54 @t107 true)) % 105.79/106.09 (step @p89 :rule trans :premises (@p88 @p87)) % 105.79/106.09 (step @p90 :rule nary_cong :premises (@p89 @p84) :args ((or (not @t108) @t67))) % 105.79/106.09 (step @p91 :rule trans :premises (@p90 @p83)) % 105.79/106.09 (step @p92 :rule bool-impl-elim :args (@t108 @t67)) % 105.79/106.09 (step @p93 :rule trans :premises (@p92 @p91)) % 105.79/106.09 (step @p94 :rule cong :premises (@p93) :args ((forall @t56 (=> @t108 @t67)))) % 105.79/106.09 (step @p95 :rule arith_poly_norm :args ((= @t58 @t79))) % 105.79/106.09 (step @p96 :rule refl :args (@t11)) % 105.79/106.09 (step @p97 :rule refl :args (@t12)) % 105.79/106.09 (step @p98 :rule refl :args (@t42)) % 105.79/106.09 (step @p99 :rule cong :premises (@p98 @p97 @p96 @p95) :args (@t59)) % 105.79/106.09 (step @p100 :rule cong :premises (@p99) :args (@t60)) % 105.79/106.09 (step @p101 :rule nary_cong :premises (@p52 @p100) :args (@t70)) % 105.79/106.09 (step @p102 :rule cong :premises (@p101 @p54) :args (@t71)) % 105.79/106.09 (step @p103 :rule cong :premises (@p102) :args (@t72)) % 105.79/106.09 (step @p104 :rule trans :premises (@p103 @p94)) % 105.79/106.09 (step @p105 :rule cong :premises (@p104) :args (@t73)) % 105.79/106.09 (step @p106 :rule eq_resolve :premises (@p35 @p105)) % 105.79/106.09 (step @p107 :rule skolemize :premises (@p106)) % 105.79/106.09 (step @p108 :rule cnf_or_neg :args (@t112 2)) % 105.79/106.09 (step @p109 :rule chain_m_resolution :premises (@p108 @p107) :args ((not @t99) @t113 @t114)) % 105.79/106.09 (step @p110 :rule cnf_equiv_pos2 :args (@t105)) % 105.79/106.09 (step @p111 :rule reordering :premises (@p110) :args ((or @t99 @t115 (not @t105)))) % 105.79/106.09 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p82) :args (@t115 @t116 (@list @t99 @t105))) % 105.79/106.09 (step @p113 :rule bool-double-not-elim :args (@t97)) % 105.79/106.09 (step @p114 :rule refl :args (@t112)) % 105.79/106.09 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t112 (not @t111)))) % 105.79/106.09 (step @p116 :rule cnf_or_neg :args (@t112 0)) % 105.79/106.09 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 105.79/106.09 (step @p118 :rule reordering :premises (@p117) :args ((or @t97 @t112))) % 105.79/106.09 (step @p119 :rule chain_m_resolution :premises (@p118 @p107) :args (@t97 @t113 @t114)) % 105.79/106.09 (step @p120 :rule cnf_and_neg :args (@t104)) % 105.79/106.09 (step @p121 :rule reordering :premises (@p120) :args ((or @t111 @t104 @t117))) % 105.79/106.09 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p112) :args (@t117 (@list false true) (@list @t97 @t104))) % 105.79/106.09 (step @p123 :rule refl :args (@t125)) % 105.79/106.09 (step @p124 :rule bool-double-not-elim :args (@t103)) % 105.79/106.09 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t117) @t125))) % 105.79/106.09 (step @p126 :rule refl :args (@t120)) % 105.79/106.09 (step @p127 :rule bool-double-not-elim :args (@t123)) % 105.79/106.09 (step @p128 :rule arith_poly_norm :args ((= (* -1 (- 0 @t127)) (* -1 (- @t126 1))))) % 105.79/106.09 (step @p129 :rule arith_poly_norm_rel :premises (@p128) :args ((= (>= 0 @t127) (>= @t126 1)))) % 105.79/106.09 (step @p130 :rule arith-geq-tighten :args (@t122 0)) % 105.79/106.09 (step @p131 :rule trans :premises (@p130 @p129)) % 105.79/106.09 (step @p132 :rule symm :premises (@p131)) % 105.79/106.09 (step @p133 :rule refl :args (1)) % 105.79/106.09 (step @p134 :rule arith_poly_norm :args ((= @t128 @t126))) % 105.79/106.09 (step @p135 :rule cong :premises (@p134 @p133) :args (@t129)) % 105.79/106.09 (step @p136 :rule trans :premises (@p135 @p132)) % 105.79/106.09 (step @p137 :rule cong :premises (@p136) :args (@t130)) % 105.79/106.09 (step @p138 :rule trans :premises (@p137 @p127)) % 105.79/106.09 (step @p139 :rule nary_cong :premises (@p138 @p126) :args (@t131)) % 105.79/106.09 (step @p140 :rule cong :premises (@p139) :args (@t132)) % 105.79/106.09 (step @p141 :rule refl :args (@t117)) % 105.79/106.09 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t117 @t132))) % 105.79/106.09 (assume-push @p580 @t117) % 105.79/106.09 (step @p144 :rule skolemize :premises (@p122)) % 105.79/106.09 (step-pop @p581 :rule scope :premises (@p144)) % 105.79/106.09 (step @p145 :rule process_scope :premises (@p581) :args (@t132)) % 105.79/106.09 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 105.79/106.09 (step @p148 :rule implies_elim :premises (@p147)) % 105.79/106.09 (step @p149 :rule eq_resolve :premises (@p148 @p125)) % 105.79/106.09 (step @p150 :rule chain_m_resolution :premises (@p149 @p122) :args (@t125 @t113 (@list @t103))) % 105.79/106.09 (step @p151 :rule cnf_or_neg :args (@t124 0)) % 105.79/106.09 (step @p152 :rule reordering :premises (@p151) :args ((or @t133 @t124))) % 105.79/106.09 (step @p153 :rule chain_m_resolution :premises (@p152 @p150) :args (@t133 @t113 @t134)) % 105.79/106.09 (step @p154 :rule aci_norm :args ((= (or (or @t138 @t136) @t44) @t139))) % 105.79/106.09 (step @p155 :rule refl :args (@t44)) % 105.79/106.09 (step @p156 :rule bool-double-not-elim :args (@t136)) % 105.79/106.09 (step @p157 :rule refl :args (@t138)) % 105.79/106.09 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t138 (not @t140)))) % 105.79/106.09 (step @p159 :rule bool-and-de-morgan :args (@t137 @t140 true)) % 105.79/106.09 (step @p160 :rule trans :premises (@p159 @p158)) % 105.79/106.09 (step @p161 :rule nary_cong :premises (@p160 @p155) :args ((or (not @t141) @t44))) % 105.79/106.09 (step @p162 :rule trans :premises (@p161 @p154)) % 105.79/106.09 (step @p163 :rule bool-impl-elim :args (@t141 @t44)) % 105.79/106.09 (step @p164 :rule trans :premises (@p163 @p162)) % 105.79/106.09 (step @p165 :rule cong :premises (@p164) :args ((forall @t34 (=> @t141 @t44)))) % 105.79/106.09 (step @p166 :rule refl :args (@t44)) % 105.79/106.09 (step @p167 :rule arith_poly_norm :args ((= (* 1 (- @t32 @t45)) (* 1 (- @t135 0))))) % 105.79/106.09 (step @p168 :rule arith_poly_norm_rel :premises (@p167) :args ((= @t142 @t136))) % 105.79/106.09 (step @p169 :rule cong :premises (@p168) :args ((not @t142))) % 105.79/106.09 (step @p170 :rule arith-elim-lt :args (@t32 @t45)) % 105.79/106.09 (step @p171 :rule trans :premises (@p170 @p169)) % 105.79/106.09 (step @p172 :rule arith-elim-leq :args (0 @t32)) % 105.79/106.09 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t46)) % 105.79/106.09 (step @p174 :rule cong :premises (@p173 @p166) :args (@t47)) % 105.79/106.09 (step @p175 :rule cong :premises (@p174) :args (@t48)) 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(step @p431 :rule modus_ponens :premises (@p402 @p429)) % 105.79/106.09 (step-pop @p609 :rule scope :premises (@p431)) % 105.79/106.09 (step @p432 :rule process_scope :premises (@p609) :args (@t254)) % 105.79/106.09 (step @p434 :rule implies_elim :premises (@p432)) % 105.79/106.09 (step @p435 :rule reordering :premises (@p434) :args ((or @t254 (not @t249)))) % 105.79/106.09 (step @p436 :rule chain_m_resolution :premises (@p435 @p402) :args (@t254 @t106 (@list @t249))) % 105.79/106.09 (step @p437 :rule arith_poly_norm :args ((= (* -1 (- @t259 0)) (* -1 (- @t184 1))))) % 105.79/106.09 (step @p438 :rule arith_poly_norm_rel :premises (@p437) :args ((= (>= @t259 0) @t185))) % 105.79/106.09 (step @p439 :rule arith_poly_norm :args ((= (+ @t32 @t260) @t259))) % 105.79/106.09 (step @p440 :rule arith_poly_norm :args ((= @t261 @t260))) % 105.79/106.09 (step @p441 :rule refl :args (@t32)) % 105.79/106.09 (step @p442 :rule nary_cong :premises (@p441 @p440) :args (@t262)) % 105.79/106.09 (step @p443 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:rule arith_poly_norm :args ((= (* 1 (- @t272 1)) (* 1 (- @t247 0))))) % 105.79/106.09 (step @p457 :rule arith_poly_norm_rel :premises (@p456) :args ((= (>= @t272 1) @t273))) % 105.79/106.09 (step @p458 :rule arith_poly_norm :args ((= @t274 @t272))) % 105.79/106.09 (step @p459 :rule arith_poly_norm :args ((= @t275 @t274))) % 105.79/106.09 (step @p460 :rule trans :premises (@p459 @p458)) % 105.79/106.09 (step @p461 :rule cong :premises (@p460 @p133) :args (@t276)) % 105.79/106.09 (step @p462 :rule trans :premises (@p461 @p457)) % 105.79/106.09 (step @p463 :rule cong :premises (@p462) :args (@t277)) % 105.79/106.09 (step @p464 :rule arith_poly_norm :args ((= (* 1 (- @t109 0)) (* 1 (- @t88 -1))))) % 105.79/106.09 (step @p465 :rule arith_poly_norm_rel :premises (@p464) :args ((= @t278 @t254))) % 105.79/106.09 (step @p466 :rule nary_cong :premises (@p465 @p463 @p455 @p447) :args (@t279)) % 105.79/106.09 (step @p467 :rule refl :args (@t110)) % 105.79/106.09 (step @p468 :rule cong :premises 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(step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p476) :args (@t285 @t116 (@list @t110 @t284))) % 105.79/106.09 (step @p482 :rule cnf_and_pos :args (@t178 2)) % 105.79/106.09 (step @p483 :rule reordering :premises (@p482) :args ((or @t168 @t182))) % 105.79/106.09 (step @p484 :rule chain_m_resolution :premises (@p483 @p229) :args (@t168 @t106 @t183)) % 105.79/106.09 (step @p485 :rule refl :args (@t281)) % 105.79/106.09 (step @p486 :rule bool-double-not-elim :args (@t167)) % 105.79/106.09 (step @p487 :rule nary_cong :premises (@p486 @p127 @p485) :args ((or (not @t168) @t214 @t281))) % 105.79/106.09 (assume-push @p612 @t168) % 105.79/106.09 (assume-push @p613 @t133) % 105.79/106.09 (assume-push @p614 @t267) % 105.79/106.09 (step @p491 :rule evaluate :args ((<= 0 -1))) % 105.79/106.09 (step @p492 :rule evaluate :args ((+ 0 0 -1))) % 105.79/106.09 (step @p303 :rule refl :args (-1)) % 105.79/106.09 (step @p302 :rule evaluate :args (@t224)) % 105.79/106.09 (step @p493 :rule 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@p526 :rule cnf_and_neg :args (@t283)) % 105.79/106.09 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 105.79/106.09 (step @p528 :rule reordering :premises (@p527) :args ((or @t273 @t267 @t283 @t293 @t235))) % 105.79/106.09 (step @p529 :rule chain_m_resolution :premises (@p528 @p520 @p481 @p436 @p380) :args (@t273 (@list true true false false) (@list @t267 @t283 @t254 @t186))) % 105.79/106.09 (step @p530 :rule bool-double-not-elim :args (@t170)) % 105.79/106.09 (step @p531 :rule refl :args (@t282)) % 105.79/106.09 (step @p532 :rule nary_cong :premises (@p531 @p127 @p530) :args ((or @t282 @t214 (not @t171)))) % 105.79/106.09 (assume-push @p618 @t171) % 105.79/106.09 (assume-push @p619 @t273) % 105.79/106.09 (assume-push @p620 @t133) % 105.79/106.09 (step @p282 :rule arith-elim-leq :args (@t122 -1)) % 105.79/106.09 (step @p283 :rule symm :premises (@p282)) % 105.79/106.09 (step @p284 :rule cong :premises (@p283) :args (@t215)) % 105.79/106.09 (step @p285 :rule arith-elim-gt :args (@t122 -1)) % 105.79/106.09 (step @p286 :rule trans :premises (@p285 @p284)) % 105.79/106.09 (step @p287 :rule evaluate :args (@t216)) % 105.79/106.09 (step @p288 :rule refl :args (@t122)) % 105.79/106.09 (step @p289 :rule cong :premises (@p288 @p287) :args (@t217)) % 105.79/106.09 (step @p290 :rule cong :premises (@p289) :args (@t218)) % 105.79/106.09 (step @p291 :rule arith-leq-norm :args (@t122 -1)) % 105.79/106.09 (step @p292 :rule trans :premises (@p291 @p290)) % 105.79/106.09 (step @p293 :rule cong :premises (@p292) :args (@t220)) % 105.79/106.09 (step @p294 :rule trans :premises (@p293 @p127)) % 105.79/106.09 (step @p295 :rule trans :premises (@p286 @p294)) % 105.79/106.09 (step @p296 :rule symm :premises (@p295)) % 105.79/106.09 (step @p297 :rule trans :premises (@p294 @p296)) % 105.79/106.09 (assume-push @p621 @t219) % 105.79/106.09 (step @p299 :rule evaluate :args (@t221)) % 105.79/106.09 (step @p300 :rule evaluate :args (@t222)) % 105.79/106.09 (step @p301 :rule evaluate :args (@t223)) % 105.79/106.09 (step @p302 :rule evaluate :args (@t224)) % 105.79/106.09 (step @p303 :rule refl :args (-1)) % 105.79/106.09 (step @p304 :rule nary_cong :premises (@p303 @p302 @p133) :args (@t225)) % 105.79/106.09 (step @p305 :rule trans :premises (@p304 @p301)) % 105.79/106.09 (step @p495 :rule arith_poly_norm :args (@t287)) % 105.79/106.09 (step @p537 :rule arith_poly_norm :args ((= @t294 0))) % 105.79/106.09 (step @p307 :rule arith_poly_norm :args (@t227)) % 105.79/106.09 (step @p497 :rule arith_poly_norm :args (@t290)) % 105.79/106.09 (step @p308 :rule refl :args (@t118)) % 105.79/106.09 (step @p309 :rule refl :args (@t121)) % 105.79/106.09 (step @p538 :rule nary_cong :premises (@p309 @p308 @p497 @p307 @p537) :args (@t295)) % 105.79/106.09 (step @p539 :rule trans :premises (@p538 @p495)) % 105.79/106.09 (step @p540 :rule arith_poly_norm :args ((= @t296 @t295))) % 105.79/106.09 (step @p541 :rule trans :premises (@p540 @p539)) % 105.79/106.09 (step @p542 :rule cong :premises (@p541 @p305) :args (@t297)) % 105.79/106.09 (step @p543 :rule trans :premises (@p542 @p300)) % 105.79/106.09 (step @p544 :rule cong :premises (@p543) :args ((not @t297))) % 105.79/106.09 (step @p545 :rule trans :premises (@p544 @p299)) % 105.79/106.09 (step @p546 :rule arith-elim-lt :args (@t296 @t225)) % 105.79/106.09 (step @p547 :rule trans :premises (@p546 @p545)) % 105.79/106.09 (step @p548 :rule arith-elim-lt :args (@t169 1)) % 105.79/106.09 (step @p549 :rule symm :premises (@p548)) % 105.79/106.09 (step @p550 :rule eq_resolve :premises (@p232 @p549)) % 105.79/106.09 (step @p551 :rule arith_mult_neg :args (-1 @t273)) % 105.79/106.09 (step @p325 :rule evaluate :args (@t232)) % 105.79/106.09 (step @p326 :rule true_elim :premises (@p325)) % 105.79/106.09 (step @p552 :rule and_intro :premises (@p326 @p619)) % 105.79/106.09 (step @p553 :rule modus_ponens :premises (@p552 @p551)) % 105.79/106.09 (step @p329 :rule arith-elim-lt :args (@t122 0)) % 105.79/106.09 (step @p330 :rule symm :premises (@p329)) % 105.79/106.09 (step @p331 :rule eq_resolve :premises (@p153 @p330)) % 105.79/106.09 (step @p339 :rule int_tight_ub :premises (@p331)) % 105.79/106.09 (step @p554 :rule arith_sum_ub :premises (@p339 @p553 @p550)) % 105.79/106.09 (step @p555 false :rule eq_resolve :premises (@p554 @p547)) % 105.79/106.09 (step-pop @p622 :rule scope :premises (@p555)) % 105.79/106.09 (step @p556 :rule process_scope :premises (@p622) :args (false)) % 105.79/106.09 (step @p558 :rule eq_resolve :premises (@p556 @p297)) % 105.79/106.09 (step @p559 :rule eq_resolve :premises (@p558 @p286)) % 105.79/106.09 (step @p329 :rule arith-elim-lt :args (@t122 0)) % 105.79/106.09 (step @p330 :rule symm :premises (@p329)) % 105.79/106.09 (step @p331 :rule eq_resolve :premises (@p153 @p330)) % 105.79/106.09 (step @p339 :rule int_tight_ub :premises (@p331)) % 105.79/106.09 (step @p560 false :rule contra :premises (@p339 @p559)) % 105.79/106.09 (step-pop @p623 :rule scope :premises (@p560)) % 105.79/106.09 (step-pop @p624 :rule scope :premises (@p623)) % 105.79/106.09 (step-pop @p625 :rule scope :premises (@p624)) % 105.79/106.09 (step @p561 :rule process_scope :premises (@p625) :args (false)) % 105.79/106.09 (assume-push @p626 @t273) % 105.79/106.09 (assume-push @p627 @t133) % 105.79/106.09 (assume-push @p628 @t171) % 105.79/106.09 (step @p568 :rule and_intro :premises (@p232 @p626 @p153)) % 105.79/106.09 (step-pop @p629 :rule scope :premises (@p568)) % 105.79/106.09 (step-pop @p630 :rule scope :premises (@p629)) % 105.79/106.09 (step-pop @p631 :rule scope :premises (@p630)) % 105.79/106.09 (step @p569 :rule process_scope :premises (@p631) :args (@t298)) % 105.79/106.09 (step @p573 :rule implies_elim :premises (@p569)) % 105.79/106.09 (step @p574 :rule resolution :premises (@p573 @p561) :args (true @t298)) % 105.79/106.09 (step @p575 :rule not_and :premises (@p574)) % 105.79/106.09 (step @p576 :rule eq_resolve :premises (@p575 @p532)) % 105.79/106.09 (step @p577 false :rule chain_m_resolution :premises (@p576 @p529 @p232 @p153) :args (false (@list false true true) (@list @t273 @t170 @t123))) % 105.79/106.09 ) % 105.79/106.09 % SZS output end Proof % 105.79/106.10 % cvc5 exiting %------------------------------------------------------------------------------