%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW658_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 : n001.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 151.37s 151.94s % Output : Proof 151.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW658_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 % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:22:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_ARI % 151.37/151.94 --- Run --finite-model-find --decision=internal at 45... % 151.37/151.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 151.37/151.94 --- Run --no-e-matching --full-saturate-quant at 45... % 151.37/151.94 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 151.37/151.94 % SZS status Theorem % 151.37/151.94 % SZS output start Proof % 151.37/151.94 ( % 151.37/151.94 (declare-sort tptp.map_int_int 0) % 151.37/151.94 (declare-sort tptp.tuple02 0) % 151.37/151.94 (declare-sort tptp.bool1 0) % 151.37/151.94 (declare-sort tptp.ty 0) % 151.37/151.94 (declare-sort tptp.uni 0) % 151.37/151.94 (declare-sort tptp.array_int 0) % 151.37/151.94 (declare-const tptp.tb2t2 (-> tptp.uni tptp.map_int_int)) % 151.37/151.94 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.tb2t1 (-> tptp.uni tptp.array_int)) % 151.37/151.94 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 151.37/151.94 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 151.37/151.94 (declare-const tptp.is_longest_common_prefix1 (-> tptp.array_int Int Int Int Bool)) % 151.37/151.94 (declare-const tptp.t2tb1 (-> tptp.array_int tptp.uni)) % 151.37/151.94 (declare-const tptp.false1 tptp.bool1) % 151.37/151.94 (declare-const tptp.t2tb2 (-> tptp.map_int_int tptp.uni)) % 151.37/151.94 (declare-const tptp.true1 tptp.bool1) % 151.37/151.94 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 151.37/151.94 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 151.37/151.94 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 151.37/151.94 (declare-const tptp.tuple03 tptp.tuple02) % 151.37/151.94 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.tb2t (-> tptp.uni Int)) % 151.37/151.94 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 151.37/151.94 (declare-const tptp.int tptp.ty) % 151.37/151.94 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.t2tb (-> Int tptp.uni)) % 151.37/151.94 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 151.37/151.94 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 151.37/151.94 (declare-const tptp.is_common_prefix1 (-> tptp.array_int Int Int Int Bool)) % 151.37/151.94 (declare-const tptp.lt1 (-> tptp.array_int Int Int Bool)) % 151.37/151.94 (define @t1 () (@var "A" tptp.ty)) % 151.37/151.94 (define @t2 () (@var "X2" tptp.uni)) % 151.37/151.94 (define @t3 () (@var "X1" tptp.uni)) % 151.37/151.94 (define @t4 () (@var "X" tptp.bool1)) % 151.37/151.94 (define @t5 () (@var "Z" tptp.uni)) % 151.37/151.94 (define @t6 () (@var "Z1" tptp.uni)) % 151.37/151.94 (define @t7 () (@list @t1 @t5 @t6)) % 151.37/151.94 (define @t8 () (@var "U" tptp.bool1)) % 151.37/151.94 (define @t9 () (@var "U" tptp.tuple02)) % 151.37/151.94 (define @t10 () (@var "Z" Int)) % 151.37/151.94 (define @t11 () (@var "Y" Int)) % 151.37/151.94 (define @t12 () (@var "X" Int)) % 151.37/151.94 (define @t13 () (@var "X" tptp.uni)) % 151.37/151.94 (define @t14 () (tptp.ref @t1)) % 151.37/151.94 (define @t15 () (@list @t1 @t13)) % 151.37/151.94 (define @t16 () (@var "U" tptp.uni)) % 151.37/151.94 (define @t17 () (@list @t1 @t16)) % 151.37/151.94 (define @t18 () (@var "B" tptp.ty)) % 151.37/151.94 (define @t19 () (tptp.map @t1 @t18)) % 151.37/151.94 (define @t20 () (@var "B1" tptp.uni)) % 151.37/151.94 (define @t21 () (@var "A2" tptp.uni)) % 151.37/151.94 (define @t22 () (@var "A1" tptp.uni)) % 151.37/151.94 (define @t23 () (@var "M" tptp.uni)) % 151.37/151.94 (define @t24 () (tptp.get @t18 @t1 (tptp.set @t18 @t1 @t23 @t22 @t20) @t21)) % 151.37/151.94 (define @t25 () (= @t22 @t21)) % 151.37/151.94 (define @t26 () (tptp.sort1 @t18 @t20)) % 151.37/151.94 (define @t27 () (tptp.array @t1)) % 151.37/151.94 (define @t28 () (@list @t1 @t12 @t3)) % 151.37/151.94 (define @t29 () (@var "U" Int)) % 151.37/151.94 (define @t30 () (@var "U1" tptp.uni)) % 151.37/151.94 (define @t31 () (tptp.mk_array1 @t1 @t29 @t30)) % 151.37/151.94 (define @t32 () (tptp.length1 @t1 @t31)) % 151.37/151.94 (define @t33 () (= @t32 @t29)) % 151.37/151.94 (define @t34 () (@list @t1 @t29 @t30)) % 151.37/151.94 (define @t35 () (forall @t34 @t33)) % 151.37/151.94 (define @t36 () (tptp.map tptp.int @t1)) % 151.37/151.94 (define @t37 () (@var "X1" Int)) % 151.37/151.94 (define @t38 () (@var "I" Int)) % 151.37/151.94 (define @t39 () (tptp.t2tb @t38)) % 151.37/151.94 (define @t40 () (@list @t38)) % 151.37/151.94 (define @t41 () (@var "J" tptp.uni)) % 151.37/151.94 (define @t42 () (@list @t41)) % 151.37/151.94 (define @t43 () (tptp.elts @t1 @t22)) % 151.37/151.94 (define @t44 () (@var "V" tptp.uni)) % 151.37/151.94 (define @t45 () (@var "N" Int)) % 151.37/151.94 (define @t46 () (@var "X" tptp.array_int)) % 151.37/151.94 (define @t47 () (@var "I" tptp.array_int)) % 151.37/151.94 (define @t48 () (tptp.t2tb1 (tptp.tb2t1 @t41))) % 151.37/151.94 (define @t49 () (forall @t42 (= @t48 @t41))) % 151.37/151.94 (define @t50 () (@var "A" tptp.array_int)) % 151.37/151.94 (define @t51 () (tptp.t2tb1 @t50)) % 151.37/151.94 (define @t52 () (= (tptp.tb2t (tptp.get2 tptp.int @t51 (+ @t12 @t38))) (tptp.tb2t (tptp.get2 tptp.int @t51 (+ @t11 @t38))))) % 151.37/151.94 (define @t53 () (@var "L" Int)) % 151.37/151.94 (define @t54 () (and (<= 0 @t38) (< @t38 @t53))) % 151.37/151.94 (define @t55 () (=> @t54 @t52)) % 151.37/151.94 (define @t56 () (forall @t40 @t55)) % 151.37/151.94 (define @t57 () (tptp.length1 tptp.int @t51)) % 151.37/151.94 (define @t58 () (+ @t11 @t53)) % 151.37/151.94 (define @t59 () (+ @t12 @t53)) % 151.37/151.94 (define @t60 () (<= 0 @t53)) % 151.37/151.94 (define @t61 () (and @t60 (<= @t59 @t57) (<= @t58 @t57) @t56)) % 151.37/151.94 (define @t62 () (tptp.is_common_prefix1 @t50 @t12 @t11 @t53)) % 151.37/151.94 (define @t63 () (= @t62 @t61)) % 151.37/151.94 (define @t64 () (@list @t50 @t12 @t11 @t53)) % 151.37/151.94 (define @t65 () (forall @t64 @t63)) % 151.37/151.94 (define @t66 () (not (tptp.is_common_prefix1 @t50 @t12 @t11 (+ @t53 1)))) % 151.37/151.94 (define @t67 () (tptp.tb2t (tptp.get2 tptp.int @t51 @t58))) % 151.37/151.94 (define @t68 () (tptp.tb2t (tptp.get2 tptp.int @t51 @t59))) % 151.37/151.94 (define @t69 () (< @t58 @t57)) % 151.37/151.94 (define @t70 () (@var "M" Int)) % 151.37/151.94 (define @t71 () (not (tptp.is_common_prefix1 @t50 @t12 @t11 @t70))) % 151.37/151.94 (define @t72 () (=> (< @t53 @t70) @t71)) % 151.37/151.94 (define @t73 () (@list @t70)) % 151.37/151.94 (define @t74 () (forall @t73 @t72)) % 151.37/151.94 (define @t75 () (and @t62 @t74)) % 151.37/151.94 (define @t76 () (tptp.is_longest_common_prefix1 @t50 @t12 @t11 @t53)) % 151.37/151.94 (define @t77 () (= @t76 @t75)) % 151.37/151.94 (define @t78 () (forall @t64 @t77)) % 151.37/151.94 (define @t79 () (= @t59 @t57)) % 151.37/151.94 (define @t80 () (or @t79 (< @t68 @t67))) % 151.37/151.94 (define @t81 () (and @t62 @t69 @t80)) % 151.37/151.94 (define @t82 () (@list @t53)) % 151.37/151.94 (define @t83 () (exists @t82 @t81)) % 151.37/151.94 (define @t84 () (<= 0 @t11)) % 151.37/151.94 (define @t85 () (<= 0 @t12)) % 151.37/151.94 (define @t86 () (and @t85 (<= @t12 @t57) @t84 (<= @t11 @t57) @t83)) % 151.37/151.94 (define @t87 () (tptp.lt1 @t50 @t12 @t11)) % 151.37/151.94 (define @t88 () (= @t87 @t86)) % 151.37/151.94 (define @t89 () (@list @t50 @t12 @t11)) % 151.37/151.94 (define @t90 () (forall @t89 @t88)) % 151.37/151.94 (define @t91 () (@var "X" tptp.map_int_int)) % 151.37/151.94 (define @t92 () (@var "I" tptp.map_int_int)) % 151.37/151.94 (define @t93 () (@var "A1" tptp.map_int_int)) % 151.37/151.94 (define @t94 () (@var "A" Int)) % 151.37/151.94 (define @t95 () (tptp.tb2t1 (tptp.mk_array1 tptp.int @t94 (tptp.t2tb2 @t93)))) % 151.37/151.94 (define @t96 () (tptp.lt1 @t95 @t11 @t12)) % 151.37/151.94 (define @t97 () (< 0 1)) % 151.37/151.94 (define @t98 () (=> @t97 @t96)) % 151.37/151.94 (define @t99 () (= @t58 @t94)) % 151.37/151.94 (define @t100 () (=> @t99 @t98)) % 151.37/151.94 (define @t101 () (= @t59 @t94)) % 151.37/151.94 (define @t102 () (not @t101)) % 151.37/151.94 (define @t103 () (=> @t102 @t100)) % 151.37/151.94 (define @t104 () (tptp.is_longest_common_prefix1 @t95 @t12 @t11 @t53)) % 151.37/151.94 (define @t105 () (=> @t104 @t103)) % 151.37/151.94 (define @t106 () (forall @t82 @t105)) % 151.37/151.94 (define @t107 () (<= @t11 @t94)) % 151.37/151.94 (define @t108 () (<= @t12 @t94)) % 151.37/151.94 (define @t109 () (and @t85 @t108 @t84 @t107)) % 151.37/151.94 (define @t110 () (=> @t109 @t106)) % 151.37/151.94 (define @t111 () (= @t12 @t11)) % 151.37/151.94 (define @t112 () (not @t111)) % 151.37/151.94 (define @t113 () (=> @t112 @t110)) % 151.37/151.94 (define @t114 () (and (<= 0 @t94) @t85 @t108 @t84 @t107)) % 151.37/151.94 (define @t115 () (=> @t114 @t113)) % 151.37/151.94 (define @t116 () (@list @t94 @t93 @t12 @t11)) % 151.37/151.94 (define @t117 () (forall @t116 @t115)) % 151.37/151.94 (define @t118 () (not @t117)) % 151.37/151.94 (define @t119 () (+ (* -1 @t11) @t94)) % 151.37/151.94 (define @t120 () (not (tptp.is_longest_common_prefix1 @t95 @t12 @t11 @t119))) % 151.37/151.94 (define @t121 () (* -1 @t94)) % 151.37/151.94 (define @t122 () (+ @t11 @t121)) % 151.37/151.94 (define @t123 () (>= @t122 1)) % 151.37/151.94 (define @t124 () (>= @t11 0)) % 151.37/151.94 (define @t125 () (not @t124)) % 151.37/151.94 (define @t126 () (+ @t12 @t121)) % 151.37/151.94 (define @t127 () (>= @t126 1)) % 151.37/151.94 (define @t128 () (>= @t12 0)) % 151.37/151.94 (define @t129 () (not @t128)) % 151.37/151.94 (define @t130 () (>= @t94 0)) % 151.37/151.94 (define @t131 () (not @t130)) % 151.37/151.94 (define @t132 () (or @t131 @t129 @t127 @t125 @t123 @t111 @t96 @t120)) % 151.37/151.94 (define @t133 () (forall @t116 @t132)) % 151.37/151.94 (define @t134 () (tptp.t2tb2 (@quantifiers_skolemize @t133 1))) % 151.37/151.94 (define @t135 () (@quantifiers_skolemize @t133 0)) % 151.37/151.94 (define @t136 () (tptp.mk_array1 tptp.int @t135 @t134)) % 151.37/151.94 (define @t137 () (* -1 @t53)) % 151.37/151.94 (define @t138 () (+ @t38 @t137)) % 151.37/151.94 (define @t139 () (>= @t138 0)) % 151.37/151.94 (define @t140 () (>= @t38 0)) % 151.37/151.94 (define @t141 () (not @t140)) % 151.37/151.94 (define @t142 () (or @t141 @t139 @t52)) % 151.37/151.94 (define @t143 () (not @t139)) % 151.37/151.94 (define @t144 () (and @t140 @t143)) % 151.37/151.94 (define @t145 () (>= @t38 @t53)) % 151.37/151.94 (define @t146 () (* -1 @t57)) % 151.37/151.94 (define @t147 () (+ @t11 @t53 @t146)) % 151.37/151.94 (define @t148 () (+ @t57 1)) % 151.37/151.94 (define @t149 () (>= @t147 1)) % 151.37/151.94 (define @t150 () (>= @t58 @t148)) % 151.37/151.94 (define @t151 () (+ @t12 @t53 @t146)) % 151.37/151.94 (define @t152 () (>= @t151 1)) % 151.37/151.94 (define @t153 () (>= @t59 @t148)) % 151.37/151.94 (define @t154 () (@quantifiers_skolemize @t133 3)) % 151.37/151.94 (define @t155 () (+ @t38 @t154)) % 151.37/151.94 (define @t156 () (+ @t154 @t38)) % 151.37/151.94 (define @t157 () (tptp.tb2t1 @t136)) % 151.37/151.94 (define @t158 () (tptp.t2tb1 @t157)) % 151.37/151.94 (define @t159 () (tptp.get2 tptp.int @t158 @t156)) % 151.37/151.94 (define @t160 () (tptp.tb2t @t159)) % 151.37/151.94 (define @t161 () (@quantifiers_skolemize @t133 2)) % 151.37/151.94 (define @t162 () (+ @t38 @t161)) % 151.37/151.94 (define @t163 () (+ @t161 @t38)) % 151.37/151.94 (define @t164 () (tptp.get2 tptp.int @t158 @t163)) % 151.37/151.94 (define @t165 () (tptp.tb2t @t164)) % 151.37/151.94 (define @t166 () (= @t165 @t160)) % 151.37/151.94 (define @t167 () (* -1 @t135)) % 151.37/151.94 (define @t168 () (+ @t38 @t167 @t154)) % 151.37/151.94 (define @t169 () (+ @t167 @t154)) % 151.37/151.94 (define @t170 () (* -1 @t154)) % 151.37/151.94 (define @t171 () (+ @t135 @t170)) % 151.37/151.94 (define @t172 () (* -1 @t171)) % 151.37/151.94 (define @t173 () (+ @t38 @t172)) % 151.37/151.94 (define @t174 () (>= @t173 0)) % 151.37/151.94 (define @t175 () (or @t141 @t174 @t166)) % 151.37/151.94 (define @t176 () (forall @t40 @t175)) % 151.37/151.94 (define @t177 () (tptp.length1 tptp.int @t158)) % 151.37/151.94 (define @t178 () (* -1 @t177)) % 151.37/151.94 (define @t179 () (+ @t135 @t178)) % 151.37/151.95 (define @t180 () (+ @t178 @t170 @t154 @t135)) % 151.37/151.95 (define @t181 () (+ @t154 @t171 @t178)) % 151.37/151.95 (define @t182 () (>= @t181 1)) % 151.37/151.95 (define @t183 () (not @t182)) % 151.37/151.95 (define @t184 () (+ @t135 @t161 @t170 @t178)) % 151.37/151.95 (define @t185 () (+ @t178 @t170 @t161 @t135)) % 151.37/151.95 (define @t186 () (+ @t161 @t171 @t178)) % 151.37/151.95 (define @t187 () (>= @t186 1)) % 151.37/151.95 (define @t188 () (not @t187)) % 151.37/151.95 (define @t189 () (>= @t171 0)) % 151.37/151.95 (define @t190 () (and @t189 @t188 @t183 @t176)) % 151.37/151.95 (define @t191 () (tptp.is_common_prefix1 @t157 @t161 @t154 @t171)) % 151.37/151.95 (define @t192 () (= @t191 @t190)) % 151.37/151.95 (define @t193 () (forall @t64 (= @t62 (and (>= @t53 0) (not @t152) (not @t149) (forall @t40 @t142))))) % 151.37/151.95 (define @t194 () (@list @t157 @t161 @t154 @t171)) % 151.37/151.95 (define @t195 () (tptp.tb2t (tptp.get2 tptp.int @t158 @t155))) % 151.37/151.95 (define @t196 () (tptp.tb2t (tptp.get2 tptp.int @t158 @t162))) % 151.37/151.95 (define @t197 () (= @t196 @t195)) % 151.37/151.95 (define @t198 () (forall @t40 (or @t141 (>= @t168 0) @t197))) % 151.37/151.95 (define @t199 () (>= @t184 1)) % 151.37/151.95 (define @t200 () (not @t199)) % 151.37/151.95 (define @t201 () (and @t189 @t200 (not (>= @t179 1)) @t198)) % 151.37/151.95 (define @t202 () (= @t191 @t201)) % 151.37/151.95 (define @t203 () (@list false)) % 151.37/151.95 (define @t204 () (@list @t193)) % 151.37/151.95 (define @t205 () (* -1 @t70)) % 151.37/151.95 (define @t206 () (+ @t53 @t205)) % 151.37/151.95 (define @t207 () (>= @t206 0)) % 151.37/151.95 (define @t208 () (not @t207)) % 151.37/151.95 (define @t209 () (>= @t53 @t70)) % 151.37/151.95 (define @t210 () (not (tptp.is_common_prefix1 @t157 @t161 @t154 @t70))) % 151.37/151.95 (define @t211 () (+ @t205 @t135 @t170)) % 151.37/151.95 (define @t212 () (+ @t70 @t167 @t154)) % 151.37/151.95 (define @t213 () (+ @t212 1)) % 151.37/151.95 (define @t214 () (+ @t170 @t135 @t205)) % 151.37/151.95 (define @t215 () (+ @t171 @t205)) % 151.37/151.95 (define @t216 () (>= @t215 0)) % 151.37/151.95 (define @t217 () (or @t216 @t210)) % 151.37/151.95 (define @t218 () (forall @t73 @t217)) % 151.37/151.95 (define @t219 () (and @t191 @t218)) % 151.37/151.95 (define @t220 () (tptp.is_longest_common_prefix1 @t157 @t161 @t154 @t171)) % 151.37/151.95 (define @t221 () (= @t220 @t219)) % 151.37/151.95 (define @t222 () (forall @t64 (= @t76 (and @t62 (forall @t73 (or @t207 @t71)))))) % 151.37/151.95 (define @t223 () (and @t191 (forall @t73 (or (not (>= @t212 1)) @t210)))) % 151.37/151.95 (define @t224 () (= @t220 @t223)) % 151.37/151.95 (define @t225 () (or @t111 @t129 @t127 @t125 @t123 @t96 @t120)) % 151.37/151.95 (define @t226 () (or @t129 @t127 @t125 @t123 @t96 @t120 @t111)) % 151.37/151.95 (define @t227 () (or @t96 @t120 @t111)) % 151.37/151.95 (define @t228 () (not @t123)) % 151.37/151.95 (define @t229 () (not @t228)) % 151.37/151.95 (define @t230 () (not @t127)) % 151.37/151.95 (define @t231 () (not @t230)) % 151.37/151.95 (define @t232 () (or @t129 @t231 @t125 @t229)) % 151.37/151.95 (define @t233 () (or @t129 (or @t231 (or @t125 @t229)))) % 151.37/151.95 (define @t234 () (and @t128 @t230 @t124 @t228)) % 151.37/151.95 (define @t235 () (not @t234)) % 151.37/151.95 (define @t236 () (=> @t234 @t227)) % 151.37/151.95 (define @t237 () (or @t131 @t129 @t231 @t125 @t229)) % 151.37/151.95 (define @t238 () (=> @t112 @t236)) % 151.37/151.95 (define @t239 () (and @t130 @t128 @t230 @t124 @t228)) % 151.37/151.95 (define @t240 () (or @t120 @t111)) % 151.37/151.95 (define @t241 () (* -1 @t122)) % 151.37/151.95 (define @t242 () (* -1 @t241)) % 151.37/151.95 (define @t243 () (+ @t242 @t94)) % 151.37/151.95 (define @t244 () (= @t11 @t243)) % 151.37/151.95 (define @t245 () (not @t244)) % 151.37/151.95 (define @t246 () (= @t12 @t243)) % 151.37/151.95 (define @t247 () (tptp.is_longest_common_prefix1 @t95 @t12 @t11 @t241)) % 151.37/151.95 (define @t248 () (not @t247)) % 151.37/151.95 (define @t249 () (or @t248 @t246 @t245)) % 151.37/151.95 (define @t250 () (+ @t137 @t94)) % 151.37/151.95 (define @t251 () (= @t11 @t250)) % 151.37/151.95 (define @t252 () (not @t251)) % 151.37/151.95 (define @t253 () (= @t12 @t250)) % 151.37/151.95 (define @t254 () (not @t104)) % 151.37/151.95 (define @t255 () (= @t53 @t241)) % 151.37/151.95 (define @t256 () (* 1 (- @t11 @t250))) % 151.37/151.95 (define @t257 () (or @t252 @t254 @t253 @t252)) % 151.37/151.95 (define @t258 () (or @t254 @t253 @t252)) % 151.37/151.95 (define @t259 () (forall @t82 @t258)) % 151.37/151.95 (define @t260 () (or @t96 @t259)) % 151.37/151.95 (define @t261 () (or @t96 @t258)) % 151.37/151.95 (define @t262 () (or @t254 @t253 @t252 @t96)) % 151.37/151.95 (define @t263 () (or @t253 @t252 @t96)) % 151.37/151.95 (define @t264 () (=> @t251 @t96)) % 151.37/151.95 (define @t265 () (not @t253)) % 151.37/151.95 (define @t266 () (=> @t265 @t264)) % 151.37/151.95 (define @t267 () (+ @t94 1)) % 151.37/151.95 (define @t268 () (>= @t11 @t267)) % 151.37/151.95 (define @t269 () (>= @t12 @t267)) % 151.37/151.95 (define @t270 () (not @t220)) % 151.37/151.95 (define @t271 () (tptp.lt1 @t157 @t154 @t161)) % 151.37/151.95 (define @t272 () (= @t161 @t154)) % 151.37/151.95 (define @t273 () (not @t189)) % 151.37/151.95 (define @t274 () (>= @t154 0)) % 151.37/151.95 (define @t275 () (not @t274)) % 151.37/151.95 (define @t276 () (+ @t135 (* -1 @t161))) % 151.37/151.95 (define @t277 () (>= @t161 0)) % 151.37/151.95 (define @t278 () (not @t277)) % 151.37/151.95 (define @t279 () (not (>= @t135 0))) % 151.37/151.95 (define @t280 () (or @t279 @t278 (not (>= @t276 0)) @t275 @t273 @t272 @t271 @t270)) % 151.37/151.95 (define @t281 () (not @t280)) % 151.37/151.95 (define @t282 () (not @t133)) % 151.37/151.95 (define @t283 () (+ @t170 @t135)) % 151.37/151.95 (define @t284 () (tptp.is_longest_common_prefix1 @t157 @t161 @t154 @t283)) % 151.37/151.95 (define @t285 () (not @t284)) % 151.37/151.95 (define @t286 () (+ @t171 1)) % 151.37/151.95 (define @t287 () (+ @t154 @t167)) % 151.37/151.95 (define @t288 () (>= @t287 1)) % 151.37/151.95 (define @t289 () (+ @t167 @t161)) % 151.37/151.95 (define @t290 () (+ @t276 1)) % 151.37/151.95 (define @t291 () (+ @t161 @t167)) % 151.37/151.95 (define @t292 () (>= @t291 1)) % 151.37/151.95 (define @t293 () (or @t279 @t278 @t292 @t275 @t288 @t272 @t271 @t285)) % 151.37/151.95 (define @t294 () (not @t293)) % 151.37/151.95 (define @t295 () (@list true)) % 151.37/151.95 (define @t296 () (@list @t280)) % 151.37/151.95 (define @t297 () (@list false false)) % 151.37/151.95 (define @t298 () (not @t201)) % 151.37/151.95 (define @t299 () (@list @t201)) % 151.37/151.95 (define @t300 () (not @t272)) % 151.37/151.95 (define @t301 () (tptp.length1 tptp.int @t136)) % 151.37/151.95 (define @t302 () (+ @t161 @t178)) % 151.37/151.95 (define @t303 () (>= @t302 1)) % 151.37/151.95 (define @t304 () (not @t303)) % 151.37/151.95 (define @t305 () (+ @t161 @t170)) % 151.37/151.95 (define @t306 () (>= @t305 1)) % 151.37/151.95 (define @t307 () (= @t135 @t177)) % 151.37/151.95 (define @t308 () (not @t307)) % 151.37/151.95 (define @t309 () (not @t306)) % 151.37/151.95 (define @t310 () (not @t309)) % 151.37/151.95 (define @t311 () (not @t300)) % 151.37/151.95 (define @t312 () (* -1 0)) % 151.37/151.95 (define @t313 () (* -1 1)) % 151.37/151.95 (define @t314 () (+ @t313 0 -1 @t312)) % 151.37/151.95 (define @t315 () (+ 0 0 0 0)) % 151.37/151.95 (define @t316 () (* 0 @t135)) % 151.37/151.95 (define @t317 () (= @t316 0)) % 151.37/151.95 (define @t318 () (* 0 @t161)) % 151.37/151.95 (define @t319 () (= @t318 0)) % 151.37/151.95 (define @t320 () (* 0 @t154)) % 151.37/151.95 (define @t321 () (= @t320 0)) % 151.37/151.95 (define @t322 () (* 0 @t177)) % 151.37/151.95 (define @t323 () (= @t322 0)) % 151.37/151.95 (define @t324 () (+ @t322 @t320 @t318 @t316)) % 151.37/151.95 (define @t325 () (+ (* -1 @t302) @t179 @t305 @t172)) % 151.37/151.95 (define @t326 () (< -1 0)) % 151.37/151.95 (define @t327 () (= (* 1 (- @t305 0)) (* 1 (- @t161 @t154)))) % 151.37/151.95 (define @t328 () (= @t305 0)) % 151.37/151.95 (define @t329 () (= @t328 @t272)) % 151.37/151.95 (define @t330 () (not @t328)) % 151.37/151.95 (define @t331 () (= (* 1 (- @t179 0)) (* 1 (- @t135 @t177)))) % 151.37/151.95 (define @t332 () (= @t179 0)) % 151.37/151.95 (define @t333 () (= @t332 @t307)) % 151.37/151.95 (define @t334 () (+ @t154 @t178)) % 151.37/151.95 (define @t335 () (>= @t334 1)) % 151.37/151.95 (define @t336 () (+ @t313 0 @t312)) % 151.37/151.95 (define @t337 () (+ @t322 @t154 @t170 @t316)) % 151.37/151.95 (define @t338 () (* -1 @t334)) % 151.37/151.95 (define @t339 () (+ @t338 @t179 @t172)) % 151.37/151.95 (define @t340 () (not @t335)) % 151.37/151.95 (define @t341 () (+ @t38 @t154 @t178)) % 151.37/151.95 (define @t342 () (forall @t40 (or @t141 (>= @t341 0) @t197))) % 151.37/151.95 (define @t343 () (@quantifiers_skolemize @t342 0)) % 151.37/151.95 (define @t344 () (>= @t343 0)) % 151.37/151.95 (define @t345 () (+ @t154 @t343)) % 151.37/151.95 (define @t346 () (+ @t161 @t343)) % 151.37/151.95 (define @t347 () (= (tptp.tb2t (tptp.get2 tptp.int @t158 @t346)) (tptp.tb2t (tptp.get2 tptp.int @t158 @t345)))) % 151.37/151.95 (define @t348 () (+ @t154 @t343 @t178)) % 151.37/151.95 (define @t349 () (>= @t348 0)) % 151.37/151.95 (define @t350 () (not @t344)) % 151.37/151.95 (define @t351 () (or @t350 @t349 @t347)) % 151.37/151.95 (define @t352 () (+ @t343 @t154)) % 151.37/151.95 (define @t353 () (tptp.get2 tptp.int @t158 @t352)) % 151.37/151.95 (define @t354 () (tptp.tb2t @t353)) % 151.37/151.95 (define @t355 () (+ @t343 @t161)) % 151.37/151.95 (define @t356 () (tptp.get2 tptp.int @t158 @t355)) % 151.37/151.95 (define @t357 () (tptp.tb2t @t356)) % 151.37/151.95 (define @t358 () (= @t357 @t354)) % 151.37/151.95 (define @t359 () (+ @t167 @t154 @t343)) % 151.37/151.95 (define @t360 () (* -1 @t343)) % 151.37/151.95 (define @t361 () (+ @t135 @t170 @t360)) % 151.37/151.95 (define @t362 () (+ @t361 1)) % 151.37/151.95 (define @t363 () (+ @t343 @t167 @t154)) % 151.37/151.95 (define @t364 () (>= @t363 0)) % 151.37/151.95 (define @t365 () (or @t350 @t364 @t358)) % 151.37/151.95 (define @t366 () (>= @t361 1)) % 151.37/151.95 (define @t367 () (not @t366)) % 151.37/151.95 (define @t368 () (or @t350 @t367 @t347)) % 151.37/151.95 (define @t369 () (= @t136 @t158)) % 151.37/151.95 (define @t370 () (not @t369)) % 151.37/151.95 (define @t371 () (= @t135 @t301)) % 151.37/151.95 (define @t372 () (not @t371)) % 151.37/151.95 (define @t373 () (not @t349)) % 151.37/151.95 (define @t374 () (+ -1 1)) % 151.37/151.95 (define @t375 () (>= @t348 @t374)) % 151.37/151.95 (define @t376 () (<= @t348 -1)) % 151.37/151.95 (define @t377 () (>= 0 0)) % 151.37/151.95 (define @t378 () (+ -1 @t312 1)) % 151.37/151.95 (define @t379 () (+ @t360 @t343 @t322 @t170 @t154 @t316)) % 151.37/151.95 (define @t380 () (* -1 @t179)) % 151.37/151.95 (define @t381 () (+ @t348 @t380 @t361)) % 151.37/151.95 (define @t382 () (>= @t381 @t378)) % 151.37/151.95 (define @t383 () (and @t367 @t307 @t373)) % 151.37/151.95 (define @t384 () (not @t351)) % 151.37/151.95 (define @t385 () (not @t342)) % 151.37/151.95 (define @t386 () (+ @t343 @t154 @t178)) % 151.37/151.95 (define @t387 () (>= @t386 0)) % 151.37/151.95 (define @t388 () (or @t350 @t387 @t358)) % 151.37/151.95 (define @t389 () (not @t388)) % 151.37/151.95 (define @t390 () (and @t340 @t309 @t342)) % 151.37/151.95 (define @t391 () (not @t340)) % 151.37/151.95 (define @t392 () (+ @t68 (* -1 @t67))) % 151.37/151.95 (define @t393 () (>= @t392 0)) % 151.37/151.95 (define @t394 () (+ @t137 @t57)) % 151.37/151.95 (define @t395 () (= @t12 @t394)) % 151.37/151.95 (define @t396 () (not @t395)) % 151.37/151.95 (define @t397 () (not @t393)) % 151.37/151.95 (define @t398 () (>= @t147 0)) % 151.37/151.95 (define @t399 () (not @t62)) % 151.37/151.95 (define @t400 () (or @t395 @t397)) % 151.37/151.95 (define @t401 () (not @t400)) % 151.37/151.95 (define @t402 () (not @t398)) % 151.37/151.95 (define @t403 () (not @t402)) % 151.37/151.95 (define @t404 () (or @t399 @t403 @t401)) % 151.37/151.95 (define @t405 () (and @t62 @t402 @t400)) % 151.37/151.95 (define @t406 () (forall @t82 (not @t405))) % 151.37/151.95 (define @t407 () (not @t406)) % 151.37/151.95 (define @t408 () (>= @t68 @t67)) % 151.37/151.95 (define @t409 () (>= @t58 @t57)) % 151.37/151.95 (define @t410 () (+ @t11 @t146)) % 151.37/151.95 (define @t411 () (>= @t410 1)) % 151.37/151.95 (define @t412 () (>= @t11 @t148)) % 151.37/151.95 (define @t413 () (+ @t12 @t146)) % 151.37/151.95 (define @t414 () (>= @t413 1)) % 151.37/151.95 (define @t415 () (>= @t12 @t148)) % 151.37/151.95 (define @t416 () (+ @t53 @t161)) % 151.37/151.95 (define @t417 () (+ @t161 @t53)) % 151.37/151.95 (define @t418 () (tptp.get2 tptp.int @t158 @t417)) % 151.37/151.95 (define @t419 () (tptp.tb2t @t418)) % 151.37/151.95 (define @t420 () (* -1 @t419)) % 151.37/151.95 (define @t421 () (+ @t53 @t154)) % 151.37/151.95 (define @t422 () (+ @t154 @t53)) % 151.37/151.95 (define @t423 () (tptp.get2 tptp.int @t158 @t422)) % 151.37/151.95 (define @t424 () (tptp.tb2t @t423)) % 151.37/151.95 (define @t425 () (+ @t424 @t420)) % 151.37/151.95 (define @t426 () (>= @t425 0)) % 151.37/151.95 (define @t427 () (+ @t170 @t177)) % 151.37/151.95 (define @t428 () (+ @t137 @t177)) % 151.37/151.95 (define @t429 () (= @t53 @t427)) % 151.37/151.95 (define @t430 () (= @t154 @t428)) % 151.37/151.95 (define @t431 () (not @t430)) % 151.37/151.95 (define @t432 () (and @t431 @t426)) % 151.37/151.95 (define @t433 () (+ @t53 @t161 @t178)) % 151.37/151.95 (define @t434 () (+ @t161 @t53 @t178)) % 151.37/151.95 (define @t435 () (>= @t434 0)) % 151.37/151.95 (define @t436 () (not (tptp.is_common_prefix1 @t157 @t154 @t161 @t53))) % 151.37/151.95 (define @t437 () (or @t436 @t435 @t432)) % 151.37/151.95 (define @t438 () (forall @t82 @t437)) % 151.37/151.95 (define @t439 () (not @t438)) % 151.37/151.95 (define @t440 () (and @t274 @t340 @t277 @t304 @t439)) % 151.37/151.95 (define @t441 () (= @t271 @t440)) % 151.37/151.95 (define @t442 () (forall @t89 (= @t87 (and @t128 (not @t414) @t124 (not @t411) (not (forall @t82 (or @t399 @t398 (and @t396 @t393)))))))) % 151.37/151.95 (define @t443 () (forall @t82 (or @t436 (>= @t433 0) (and (not @t429) (>= (+ (tptp.tb2t (tptp.get2 tptp.int @t158 @t421)) (* -1 (tptp.tb2t (tptp.get2 tptp.int @t158 @t416)))) 0))))) % 151.37/151.95 (define @t444 () (not @t443)) % 151.37/151.95 (define @t445 () (and @t274 @t340 @t277 @t304 @t444)) % 151.37/151.95 (define @t446 () (= @t271 @t445)) % 151.37/151.95 (define @t447 () (not @t445)) % 151.37/151.95 (define @t448 () (= @t160 @t165)) % 151.37/151.95 (define @t449 () (* -1 @t427)) % 151.37/151.95 (define @t450 () (+ @t38 @t449)) % 151.37/151.95 (define @t451 () (>= @t450 0)) % 151.37/151.95 (define @t452 () (or @t141 @t451 @t448)) % 151.37/151.95 (define @t453 () (forall @t40 @t452)) % 151.37/151.95 (define @t454 () (+ @t178 @t177 @t170 @t161)) % 151.37/151.95 (define @t455 () (+ @t161 @t427 @t178)) % 151.37/151.95 (define @t456 () (>= @t455 1)) % 151.37/151.95 (define @t457 () (not @t456)) % 151.37/151.95 (define @t458 () (+ @t178 @t177 @t170 @t154)) % 151.37/151.95 (define @t459 () (+ @t154 @t427 @t178)) % 151.37/151.95 (define @t460 () (>= @t459 1)) % 151.37/151.95 (define @t461 () (not @t460)) % 151.37/151.95 (define @t462 () (+ @t334 1)) % 151.37/151.95 (define @t463 () (>= @t427 0)) % 151.37/151.95 (define @t464 () (and @t463 @t461 @t457 @t453)) % 151.37/151.95 (define @t465 () (tptp.is_common_prefix1 @t157 @t154 @t161 @t427)) % 151.37/151.95 (define @t466 () (= @t465 @t464)) % 151.37/151.95 (define @t467 () (= @t465 @t390)) % 151.37/151.95 (define @t468 () (>= @t305 0)) % 151.37/151.95 (define @t469 () (not @t465)) % 151.37/151.95 (define @t470 () (or @t469 @t468)) % 151.37/151.95 (define @t471 () (+ @t161 @t170 @t177)) % 151.37/151.95 (define @t472 () (= @t338 @t427)) % 151.37/151.95 (define @t473 () (+ @t338 @t161)) % 151.37/151.95 (define @t474 () (tptp.get2 tptp.int @t158 @t473)) % 151.37/151.95 (define @t475 () (tptp.tb2t @t474)) % 151.37/151.95 (define @t476 () (* -1 @t475)) % 151.37/151.95 (define @t477 () (+ @t338 @t154)) % 151.37/151.95 (define @t478 () (tptp.get2 tptp.int @t158 @t477)) % 151.37/151.95 (define @t479 () (tptp.tb2t @t478)) % 151.37/151.95 (define @t480 () (+ @t479 @t476)) % 151.37/151.95 (define @t481 () (>= @t480 0)) % 151.37/151.95 (define @t482 () (not @t472)) % 151.37/151.95 (define @t483 () (and @t482 @t481)) % 151.37/151.95 (define @t484 () (+ @t338 @t161 @t178)) % 151.37/151.95 (define @t485 () (>= @t484 0)) % 151.37/151.95 (define @t486 () (tptp.is_common_prefix1 @t157 @t154 @t161 @t338)) % 151.37/151.95 (define @t487 () (not @t486)) % 151.37/151.95 (define @t488 () (or @t487 @t485 @t483)) % 151.37/151.95 (define @t489 () (not @t468)) % 151.37/151.95 (define @t490 () (< @t184 1)) % 151.37/151.95 (define @t491 () (+ 1 @t313 @t312)) % 151.37/151.95 (define @t492 () (+ @t184 (* -1 @t305) @t380)) % 151.37/151.95 (define @t493 () (>= @t492 @t491)) % 151.37/151.95 (define @t494 () (and @t307 @t306 @t200)) % 151.37/151.95 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 151.37/151.95 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 151.37/151.95 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 151.37/151.95 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 151.37/151.95 (assume @p5 (not (= tptp.true1 tptp.false1))) % 151.37/151.95 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 151.37/151.95 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 151.37/151.95 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 151.37/151.95 (assume @p9 (forall @t15 (tptp.sort1 @t14 (tptp.mk_ref @t1 @t13)))) % 151.37/151.95 (assume @p10 (forall @t15 (tptp.sort1 @t1 (tptp.contents @t1 @t13)))) % 151.37/151.95 (assume @p11 (forall @t17 (=> (tptp.sort1 @t1 @t16) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t16)) @t16)))) % 151.37/151.95 (assume @p12 (forall @t17 (=> (tptp.sort1 @t14 @t16) (= @t16 (tptp.mk_ref @t1 (tptp.contents @t1 @t16)))))) % 151.37/151.95 (assume @p13 (forall (@list @t1 @t18 @t13 @t3) (tptp.sort1 @t18 (tptp.get @t18 @t1 @t13 @t3)))) % 151.37/151.95 (assume @p14 (forall (@list @t1 @t18 @t13 @t3 @t2) (tptp.sort1 @t19 (tptp.set @t18 @t1 @t13 @t3 @t2)))) % 151.37/151.95 (assume @p15 (forall (@list @t1 @t18 @t23 @t22 @t21 @t20) (=> @t26 (=> @t25 (= @t24 @t20))))) % 151.37/151.95 (assume @p16 (forall (@list @t1 @t18 @t23 @t22 @t21) (=> (tptp.sort1 @t1 @t22) (=> (tptp.sort1 @t1 @t21) (forall (@list @t20) (=> (not @t25) (= @t24 (tptp.get @t18 @t1 @t23 @t21)))))))) % 151.37/151.95 (assume @p17 (forall (@list @t1 @t18 @t13) (tptp.sort1 @t19 (tptp.const @t18 @t1 @t13)))) % 151.37/151.95 (assume @p18 (forall (@list @t1 @t18 @t20 @t22) (=> @t26 (= (tptp.get @t18 @t1 (tptp.const @t18 @t1 @t20) @t22) @t20)))) % 151.37/151.95 (assume @p19 (forall @t28 (tptp.sort1 @t27 (tptp.mk_array1 @t1 @t12 @t3)))) % 151.37/151.95 (assume @p20 @t35) % 151.37/151.95 (assume @p21 (forall @t15 (tptp.sort1 @t36 (tptp.elts @t1 @t13)))) % 151.37/151.95 (assume @p22 (forall @t34 (=> (tptp.sort1 @t36 @t30) (= (tptp.elts @t1 @t31) @t30)))) % 151.37/151.95 (assume @p23 (forall @t17 (= @t16 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t16) (tptp.elts @t1 @t16))))) % 151.37/151.95 (assume @p24 (forall (@list @t1 @t13 @t37) (tptp.sort1 @t1 (tptp.get2 @t1 @t13 @t37)))) % 151.37/151.95 (assume @p25 (forall (@list @t12) (tptp.sort1 tptp.int (tptp.t2tb @t12)))) % 151.37/151.95 (assume @p26 (forall @t40 (= (tptp.tb2t @t39) @t38))) % 151.37/151.95 (assume @p27 (forall @t42 (= (tptp.t2tb (tptp.tb2t @t41)) @t41))) % 151.37/151.95 (assume @p28 (forall (@list @t1 @t22 @t38) (= (tptp.get2 @t1 @t22 @t38) (tptp.get @t1 tptp.int @t43 @t39)))) % 151.37/151.95 (assume @p29 (forall (@list @t1 @t13 @t37 @t2) (tptp.sort1 @t27 (tptp.set2 @t1 @t13 @t37 @t2)))) % 151.37/151.95 (assume @p30 (forall (@list @t1 @t22 @t38 @t44) (= (tptp.set2 @t1 @t22 @t38 @t44) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t22) (tptp.set @t1 tptp.int @t43 @t39 @t44))))) % 151.37/151.95 (assume @p31 (forall @t28 (tptp.sort1 @t27 (tptp.make1 @t1 @t12 @t3)))) % 151.37/151.95 (assume @p32 (forall (@list @t1 @t45 @t44) (= (tptp.make1 @t1 @t45 @t44) (tptp.mk_array1 @t1 @t45 (tptp.const @t1 tptp.int @t44))))) % 151.37/151.95 (assume @p33 (forall (@list @t46) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb1 @t46)))) % 151.37/151.95 (assume @p34 (forall (@list @t47) (= (tptp.tb2t1 (tptp.t2tb1 @t47)) @t47))) % 151.37/151.95 (assume @p35 @t49) % 151.37/151.95 (assume @p36 @t65) % 151.37/151.95 (assume @p37 (forall @t64 (=> (and @t60 (< @t59 @t57) @t69 (not (= @t68 @t67))) @t66))) % 151.37/151.95 (assume @p38 @t78) % 151.37/151.95 (assume @p39 (forall @t64 (=> (and @t62 @t66) @t76))) % 151.37/151.95 (assume @p40 @t90) % 151.37/151.95 (assume @p41 (forall (@list @t91) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb2 @t91)))) % 151.37/151.95 (assume @p42 (forall (@list @t92) (= (tptp.tb2t2 (tptp.t2tb2 @t92)) @t92))) % 151.37/151.95 (assume @p43 (forall @t42 (= (tptp.t2tb2 (tptp.tb2t2 @t41)) @t41))) % 151.37/151.95 (assume @p44 @t118) % 151.37/151.95 (assume @p45 true) % 151.37/151.95 (step @p46 :rule arith_poly_norm :args ((= (* 1 (- @t32 @t29)) (* -1 (- @t29 @t32))))) % 151.37/151.95 (step @p47 :rule arith_poly_norm_rel :premises (@p46) :args ((= @t33 (= @t29 @t32)))) % 151.37/151.95 (step @p48 :rule cong :premises (@p47) :args (@t35)) % 151.37/151.95 (step @p49 :rule eq_resolve :premises (@p20 @p48)) % 151.37/151.95 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.int @t135 @t134))) % 151.37/151.95 (step @p51 :rule eq-symm :args (@t48 @t41)) % 151.37/151.95 (step @p52 :rule cong :premises (@p51) :args (@t49)) % 151.37/151.95 (step @p53 :rule eq_resolve :premises (@p35 @p52)) % 151.37/151.95 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t136))) % 151.37/151.95 (step @p55 :rule aci_norm :args ((= (or (or @t141 @t139) @t52) @t142))) % 151.37/151.95 (step @p56 :rule refl :args (@t52)) % 151.37/151.95 (step @p57 :rule bool-double-not-elim :args (@t139)) % 151.37/151.95 (step @p58 :rule refl :args (@t141)) % 151.37/151.95 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t141 (not @t143)))) % 151.37/151.95 (step @p60 :rule bool-and-de-morgan :args (@t140 @t143 true)) % 151.37/151.95 (step @p61 :rule trans :premises (@p60 @p59)) % 151.37/151.95 (step @p62 :rule nary_cong :premises (@p61 @p56) :args ((or (not @t144) @t52))) % 151.37/151.95 (step @p63 :rule trans :premises (@p62 @p55)) % 151.37/151.95 (step @p64 :rule bool-impl-elim :args (@t144 @t52)) % 151.37/151.95 (step @p65 :rule trans :premises (@p64 @p63)) % 151.37/151.95 (step @p66 :rule cong :premises (@p65) :args ((forall @t40 (=> @t144 @t52)))) % 151.37/151.95 (step @p67 :rule refl :args (@t52)) % 151.37/151.95 (step @p68 :rule arith_poly_norm :args ((= (* 1 (- @t38 @t53)) (* 1 (- @t138 0))))) % 151.37/151.95 (step @p69 :rule arith_poly_norm_rel :premises (@p68) :args ((= @t145 @t139))) % 151.37/151.95 (step @p70 :rule cong :premises (@p69) :args ((not @t145))) % 151.37/151.95 (step @p71 :rule arith-elim-lt :args (@t38 @t53)) % 151.37/151.95 (step @p72 :rule trans :premises (@p71 @p70)) % 151.37/151.95 (step @p73 :rule arith-elim-leq :args (0 @t38)) % 151.37/151.95 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t54)) % 151.37/151.95 (step @p75 :rule cong :premises (@p74 @p67) :args (@t55)) % 151.37/151.95 (step @p76 :rule cong :premises (@p75) :args (@t56)) % 151.37/151.95 (step @p77 :rule trans :premises (@p76 @p66)) % 151.37/151.95 (step @p78 :rule arith_poly_norm :args ((= (* -1 (- @t58 @t148)) (* -1 (- @t147 1))))) % 151.37/151.95 (step @p79 :rule arith_poly_norm_rel :premises (@p78) :args ((= @t150 @t149))) % 151.37/151.95 (step @p80 :rule cong :premises (@p79) :args ((not @t150))) % 151.37/151.95 (step @p81 :rule arith-leq-norm :args (@t58 @t57)) % 151.37/151.95 (step @p82 :rule trans :premises (@p81 @p80)) % 151.37/151.95 (step @p83 :rule arith_poly_norm :args ((= (* -1 (- @t59 @t148)) (* -1 (- @t151 1))))) % 151.37/151.95 (step @p84 :rule arith_poly_norm_rel :premises (@p83) :args ((= @t153 @t152))) % 151.37/151.95 (step @p85 :rule cong :premises (@p84) :args ((not @t153))) % 151.37/151.95 (step @p86 :rule arith-leq-norm :args (@t59 @t57)) % 151.37/151.95 (step @p87 :rule trans :premises (@p86 @p85)) % 151.37/151.95 (step @p88 :rule arith-elim-leq :args (0 @t53)) % 151.37/151.95 (step @p89 :rule nary_cong :premises (@p88 @p87 @p82 @p77) :args (@t61)) % 151.37/151.95 (step @p90 :rule refl :args (@t62)) % 151.37/151.95 (step @p91 :rule cong :premises (@p90 @p89) :args (@t63)) % 151.37/151.95 (step @p92 :rule cong :premises (@p91) :args (@t65)) % 151.37/151.95 (step @p93 :rule eq_resolve :premises (@p36 @p92)) % 151.37/151.95 (step @p94 :rule arith_poly_norm :args ((= @t156 @t155))) % 151.37/151.95 (step @p95 :rule refl :args (@t158)) % 151.37/151.95 (step @p96 :rule refl :args (tptp.int)) % 151.37/151.95 (step @p97 :rule cong :premises (@p96 @p95 @p94) :args (@t159)) % 151.37/151.95 (step @p98 :rule cong :premises (@p97) :args (@t160)) % 151.37/151.95 (step @p99 :rule arith_poly_norm :args ((= @t163 @t162))) % 151.37/151.95 (step @p100 :rule cong :premises (@p96 @p95 @p99) :args (@t164)) % 151.37/151.95 (step @p101 :rule cong :premises (@p100) :args (@t165)) % 151.37/151.95 (step @p102 :rule cong :premises (@p101 @p98) :args (@t166)) % 151.37/151.95 (step @p103 :rule refl :args (0)) % 151.37/151.95 (step @p104 :rule arith_poly_norm :args ((= (+ @t38 @t169) @t168))) % 151.37/151.95 (step @p105 :rule arith_poly_norm :args ((= @t172 @t169))) % 151.37/151.95 (step @p106 :rule refl :args (@t38)) % 151.37/151.95 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t173)) % 151.37/151.95 (step @p108 :rule trans :premises (@p107 @p104)) % 151.37/151.95 (step @p109 :rule cong :premises (@p108 @p103) :args (@t174)) % 151.37/151.95 (step @p110 :rule refl :args (@t141)) % 151.37/151.95 (step @p111 :rule nary_cong :premises (@p110 @p109 @p102) :args (@t175)) % 151.37/151.95 (step @p112 :rule cong :premises (@p111) :args (@t176)) % 151.37/151.95 (step @p113 :rule refl :args (1)) % 151.37/151.95 (step @p114 :rule arith_poly_norm :args ((= @t180 @t179))) % 151.37/151.95 (step @p115 :rule arith_poly_norm :args ((= @t181 @t180))) % 151.37/151.95 (step @p116 :rule trans :premises (@p115 @p114)) % 151.37/151.95 (step @p117 :rule cong :premises (@p116 @p113) :args (@t182)) % 151.37/151.95 (step @p118 :rule cong :premises (@p117) :args (@t183)) % 151.37/151.95 (step @p119 :rule arith_poly_norm :args ((= @t185 @t184))) % 151.37/151.95 (step @p120 :rule arith_poly_norm :args ((= @t186 @t185))) % 151.37/151.95 (step @p121 :rule trans :premises (@p120 @p119)) % 151.37/151.95 (step @p122 :rule cong :premises (@p121 @p113) :args (@t187)) % 151.37/151.95 (step @p123 :rule cong :premises (@p122) :args (@t188)) % 151.37/151.95 (step @p124 :rule refl :args (@t189)) % 151.37/151.95 (step @p125 :rule nary_cong :premises (@p124 @p123 @p118 @p112) :args (@t190)) % 151.37/151.95 (step @p126 :rule refl :args (@t191)) % 151.37/151.95 (step @p127 :rule cong :premises (@p126 @p125) :args (@t192)) % 151.37/151.95 (step @p128 :rule refl :args (@t193)) % 151.37/151.95 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t193 @t192))) % 151.37/151.95 (assume-push @p901 @t193) % 151.37/151.95 (step @p131 :rule instantiate :premises (@p93) :args (@t194)) % 151.37/151.95 (step-pop @p902 :rule scope :premises (@p131)) % 151.37/151.95 (step @p132 :rule process_scope :premises (@p902) :args (@t192)) % 151.37/151.95 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 151.37/151.95 (step @p135 :rule implies_elim :premises (@p134)) % 151.37/151.95 (step @p136 :rule chain_m_resolution :premises (@p135 @p93) :args (@t202 @t203 @t204)) % 151.37/151.95 (step @p137 :rule refl :args (@t71)) % 151.37/151.95 (step @p138 :rule bool-double-not-elim :args (@t207)) % 151.37/151.95 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t208) @t71))) % 151.37/151.95 (step @p140 :rule bool-impl-elim :args (@t208 @t71)) % 151.37/151.95 (step @p141 :rule trans :premises (@p140 @p139)) % 151.37/151.95 (step @p142 :rule cong :premises (@p141) :args ((forall @t73 (=> @t208 @t71)))) % 151.37/151.95 (step @p143 :rule refl :args (@t71)) % 151.37/151.95 (step @p144 :rule arith_poly_norm :args ((= (* 1 (- @t53 @t70)) (* 1 (- @t206 0))))) % 151.37/151.95 (step @p145 :rule arith_poly_norm_rel :premises (@p144) :args ((= @t209 @t207))) % 151.37/151.95 (step @p146 :rule cong :premises (@p145) :args ((not @t209))) % 151.37/151.95 (step @p147 :rule arith-elim-lt :args (@t53 @t70)) % 151.37/151.95 (step @p148 :rule trans :premises (@p147 @p146)) % 151.37/151.95 (step @p149 :rule cong :premises (@p148 @p143) :args (@t72)) % 151.37/151.95 (step @p150 :rule cong :premises (@p149) :args (@t74)) % 151.37/151.95 (step @p151 :rule trans :premises (@p150 @p142)) % 151.37/151.95 (step @p152 :rule nary_cong :premises (@p90 @p151) :args (@t75)) % 151.37/151.95 (step @p153 :rule refl :args (@t76)) % 151.37/151.95 (step @p154 :rule cong :premises (@p153 @p152) :args (@t77)) % 151.37/151.95 (step @p155 :rule cong :premises (@p154) :args (@t78)) % 151.37/151.95 (step @p156 :rule eq_resolve :premises (@p38 @p155)) % 151.37/151.95 (step @p157 :rule refl :args (@t210)) % 151.37/151.95 (step @p158 :rule arith_poly_norm :args ((= (* -1 (- 1 @t213)) (* -1 (- @t211 0))))) % 151.37/151.95 (step @p159 :rule arith_poly_norm_rel :premises (@p158) :args ((= (>= 1 @t213) (>= @t211 0)))) % 151.37/151.95 (step @p160 :rule arith-geq-tighten :args (@t212 1)) % 151.37/151.95 (step @p161 :rule trans :premises (@p160 @p159)) % 151.37/151.95 (step @p162 :rule symm :premises (@p161)) % 151.37/151.95 (step @p163 :rule arith_poly_norm :args ((= @t214 @t211))) % 151.37/151.95 (step @p164 :rule arith_poly_norm :args ((= @t215 @t214))) % 151.37/151.95 (step @p165 :rule trans :premises (@p164 @p163)) % 151.37/151.95 (step @p166 :rule cong :premises (@p165 @p103) :args (@t216)) % 151.37/151.95 (step @p167 :rule trans :premises (@p166 @p162)) % 151.37/151.95 (step @p168 :rule nary_cong :premises (@p167 @p157) :args (@t217)) % 151.37/151.95 (step @p169 :rule cong :premises (@p168) :args (@t218)) % 151.37/151.95 (step @p170 :rule nary_cong :premises (@p126 @p169) :args (@t219)) % 151.37/151.95 (step @p171 :rule refl :args (@t220)) % 151.37/151.95 (step @p172 :rule cong :premises (@p171 @p170) :args (@t221)) % 151.37/151.95 (step @p173 :rule refl :args (@t222)) % 151.37/151.95 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t222 @t221))) % 151.37/151.95 (assume-push @p903 @t222) % 151.37/151.95 (step @p176 :rule instantiate :premises (@p156) :args (@t194)) % 151.37/151.95 (step-pop @p904 :rule scope :premises (@p176)) % 151.37/151.95 (step @p177 :rule process_scope :premises (@p904) :args (@t221)) % 151.37/151.95 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 151.37/151.95 (step @p180 :rule implies_elim :premises (@p179)) % 151.37/151.95 (step @p181 :rule chain_m_resolution :premises (@p180 @p156) :args (@t224 @t203 (@list @t222))) % 151.37/151.95 (step @p182 :rule aci_norm :args ((= (or (or @t131 @t129 @t127 @t125 @t123) @t225) @t132))) % 151.37/151.95 (step @p183 :rule aci_norm :args ((= (or @t111 @t226) @t225))) % 151.37/151.95 (step @p184 :rule aci_norm :args ((= (or (or @t129 @t127 @t125 @t123) @t227) @t226))) % 151.37/151.95 (step @p185 :rule refl :args (@t227)) % 151.37/151.95 (step @p186 :rule bool-double-not-elim :args (@t123)) % 151.37/151.95 (step @p187 :rule refl :args (@t125)) % 151.37/151.95 (step @p188 :rule bool-double-not-elim :args (@t127)) % 151.37/151.95 (step @p189 :rule refl :args (@t129)) % 151.37/151.95 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187 @p186) :args (@t232)) % 151.37/151.95 (step @p191 :rule aci_norm :args ((= @t233 @t232))) % 151.37/151.95 (step @p192 :rule trans :premises (@p191 @p190)) % 151.37/151.95 (step @p193 :rule bool-and-de-morgan :args (@t124 @t228 true)) % 151.37/151.95 (step @p194 :rule refl :args (@t231)) % 151.37/151.95 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t231 (not (and @t124 @t228))))) % 151.37/151.95 (step @p196 :rule bool-and-de-morgan :args (@t230 @t124 (and @t228))) % 151.37/151.95 (step @p197 :rule trans :premises (@p196 @p195)) % 151.37/151.95 (step @p198 :rule nary_cong :premises (@p189 @p197) :args ((or @t129 (not (and @t230 @t124 @t228))))) % 151.37/151.95 (step @p199 :rule bool-and-de-morgan :args (@t128 @t230 (and @t124 @t228))) % 151.37/151.95 (step @p200 :rule trans :premises (@p199 @p198)) % 151.37/151.95 (step @p201 :rule trans :premises (@p200 @p192)) % 151.37/151.95 (step @p202 :rule nary_cong :premises (@p201 @p185) :args ((or @t235 @t227))) % 151.37/151.95 (step @p203 :rule trans :premises (@p202 @p184)) % 151.37/151.95 (step @p204 :rule bool-impl-elim :args (@t234 @t227)) % 151.37/151.95 (step @p205 :rule trans :premises (@p204 @p203)) % 151.37/151.95 (step @p206 :rule refl :args (@t111)) % 151.37/151.95 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t111 @t236))) % 151.37/151.95 (step @p208 :rule trans :premises (@p207 @p183)) % 151.37/151.95 (step @p209 :rule refl :args (@t236)) % 151.37/151.95 (step @p210 :rule bool-double-not-elim :args (@t111)) % 151.37/151.95 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t112) @t236))) % 151.37/151.95 (step @p212 :rule bool-impl-elim :args (@t112 @t236)) % 151.37/151.95 (step @p213 :rule trans :premises (@p212 @p211)) % 151.37/151.95 (step @p214 :rule trans :premises (@p213 @p208)) % 151.37/151.95 (step @p215 :rule refl :args (@t131)) % 151.37/151.95 (step @p216 :rule nary_cong :premises (@p215 @p189 @p188 @p187 @p186) :args (@t237)) % 151.37/151.95 (step @p217 :rule aci_norm :args ((= (or @t131 @t233) @t237))) % 151.37/151.95 (step @p218 :rule trans :premises (@p217 @p216)) % 151.37/151.95 (step @p219 :rule nary_cong :premises (@p215 @p200) :args ((or @t131 @t235))) % 151.37/151.95 (step @p220 :rule bool-and-de-morgan :args (@t130 @t128 (and @t230 @t124 @t228))) % 151.37/151.95 (step @p221 :rule trans :premises (@p220 @p219)) % 151.37/151.95 (step @p222 :rule 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151.37/151.95 (assume-push @p955 @t307) % 151.37/151.95 (assume-push @p956 @t306) % 151.37/151.95 (assume-push @p957 @t200) % 151.37/151.95 (step @p852 :rule arith-elim-lt :args (@t184 1)) % 151.37/151.95 (step @p853 :rule cong :premises (@p852) :args ((not @t490))) % 151.37/151.95 (step @p854 :rule trans :premises (@p853 @p846)) % 151.37/151.95 (step @p855 :rule symm :premises (@p854)) % 151.37/151.95 (assume-push @p958 @t490) % 151.37/151.95 (step @p553 :rule evaluate :args (@t377)) % 151.37/151.95 (step @p857 :rule evaluate :args ((+ 1 -1 0))) % 151.37/151.95 (step @p413 :rule evaluate :args (@t312)) % 151.37/151.95 (step @p414 :rule evaluate :args (@t313)) % 151.37/151.95 (step @p858 :rule nary_cong :premises (@p113 @p414 @p413) :args (@t491)) % 151.37/151.95 (step @p859 :rule trans :premises (@p858 @p857)) % 151.37/151.95 (step @p417 :rule evaluate :args (@t315)) % 151.37/151.95 (step @p418 :rule arith_poly_norm :args (@t317)) % 151.37/151.95 (step @p419 :rule arith_poly_norm :args (@t319)) % 151.37/151.95 (step @p420 :rule arith_poly_norm :args (@t321)) % 151.37/151.95 (step @p421 :rule arith_poly_norm :args (@t323)) % 151.37/151.95 (step @p422 :rule nary_cong :premises (@p421 @p420 @p419 @p418) :args (@t324)) % 151.37/151.95 (step @p423 :rule trans :premises (@p422 @p417)) % 151.37/151.95 (step @p860 :rule arith_poly_norm :args ((= @t492 @t324))) % 151.37/151.95 (step @p861 :rule trans :premises (@p860 @p423)) % 151.37/151.95 (step @p862 :rule cong :premises (@p861 @p859) :args (@t493)) % 151.37/151.95 (step @p863 :rule trans :premises (@p862 @p553)) % 151.37/151.95 (step @p864 :rule cong :premises (@p863) :args ((not @t493))) % 151.37/151.95 (step @p865 :rule trans :premises (@p864 @p230)) % 151.37/151.95 (step @p866 :rule arith-elim-lt :args (@t492 @t491)) % 151.37/151.95 (step @p867 :rule trans :premises (@p866 @p865)) % 151.37/151.95 (step @p573 :rule arith_mult_neg :args (-1 @t332)) % 151.37/151.95 (step @p444 :rule arith_poly_norm :args (@t331)) % 151.37/151.95 (step @p445 :rule arith_poly_norm_rel :premises (@p444) :args (@t333)) % 151.37/151.95 (step @p446 :rule symm :premises (@p445)) % 151.37/151.95 (step @p447 :rule eq_resolve :premises (@p399 @p446)) % 151.37/151.95 (step @p429 :rule evaluate :args (@t326)) % 151.37/151.95 (step @p430 :rule true_elim :premises (@p429)) % 151.37/151.95 (step @p574 :rule and_intro :premises (@p430 @p447)) % 151.37/151.95 (step @p575 :rule modus_ponens :premises (@p574 @p573)) % 151.37/151.95 (step @p868 :rule arith_mult_neg :args (-1 @t306)) % 151.37/151.95 (step @p869 :rule and_intro :premises (@p430 @p956)) % 151.37/151.95 (step @p870 :rule modus_ponens :premises (@p869 @p868)) % 151.37/151.95 (step @p871 :rule symm :premises (@p852)) % 151.37/151.95 (step @p872 :rule chain_m_resolution :premises (@p388 @p386) :args (@t200 @t203 @t299)) % 151.37/151.95 (step @p873 :rule eq_resolve :premises (@p872 @p871)) % 151.37/151.95 (step @p874 :rule arith_sum_ub :premises (@p873 @p870 @p575)) % 151.37/151.95 (step @p875 false :rule eq_resolve :premises (@p874 @p867)) % 151.37/151.95 (step-pop @p959 :rule scope :premises (@p875)) % 151.37/151.95 (step @p876 :rule process_scope :premises (@p959) :args (false)) % 151.37/151.95 (step @p878 :rule eq_resolve :premises (@p876 @p854)) % 151.37/151.95 (step @p879 :rule eq_resolve :premises (@p878 @p855)) % 151.37/151.95 (step @p871 :rule symm :premises (@p852)) % 151.37/151.95 (step @p880 :rule eq_resolve :premises (@p389 @p871)) % 151.37/151.95 (step @p881 false :rule contra :premises (@p880 @p879)) % 151.37/151.95 (step-pop @p960 :rule scope :premises (@p881)) % 151.37/151.95 (step-pop @p961 :rule scope :premises (@p960)) % 151.37/151.95 (step-pop @p962 :rule scope :premises (@p961)) % 151.37/151.95 (step @p882 :rule process_scope :premises (@p962) :args (false)) % 151.37/151.95 (assume-push @p963 @t306) % 151.37/151.95 (assume-push @p964 @t371) % 151.37/151.95 (assume-push @p965 @t369) % 151.37/151.95 (assume-push @p966 @t200) % 151.37/151.95 (step @p890 :rule and_intro :premises (@p399 @p963 @p389)) % 151.37/151.95 (step-pop @p967 :rule scope :premises (@p890)) % 151.37/151.95 (step-pop @p968 :rule scope :premises (@p967)) % 151.37/151.95 (step-pop @p969 :rule scope :premises (@p968)) % 151.37/151.95 (step-pop @p970 :rule scope :premises (@p969)) % 151.37/151.95 (step @p891 :rule process_scope :premises (@p970) :args (@t494)) % 151.37/151.95 (step @p896 :rule implies_elim :premises (@p891)) % 151.37/151.95 (step @p897 :rule resolution :premises (@p896 @p882) :args (true @t494)) % 151.37/151.95 (step @p898 :rule not_and :premises (@p897)) % 151.37/151.95 (step @p899 :rule eq_resolve :premises (@p898 @p848)) % 151.37/151.95 (step @p900 false :rule chain_m_resolution :premises (@p899 @p845 @p389 @p54 @p50) :args (false (@list false true false false) (@list @t306 @t199 @t369 @t371))) % 151.37/151.95 ) % 151.37/151.95 % SZS output end Proof % 151.37/151.95 % cvc5 exiting %------------------------------------------------------------------------------