%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT330_1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:14:44 AM UTC 2026 % Result : Unsatisfiable 60.87s 61.09s % Output : Proof 60.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT330_1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 22:32:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_ARI % 0.29/0.51 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.45/60.93 --- Run --no-e-matching --full-saturate-quant at 45... % 60.87/61.09 % SZS status Unsatisfiable % 60.87/61.09 % SZS output start Proof % 60.97/61.13 ( % 60.97/61.13 (declare-sort |tptp.'Array[Int,Int]'| 0) % 60.97/61.13 (declare-sort |tptp.'Set'| 0) % 60.97/61.13 (declare-const |tptp.'const:(Int)>Array[Int,Int]'| (-> Int |tptp.'Array[Int,Int]'|)) % 60.97/61.13 (declare-const |tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| (-> |tptp.'Array[Int,Int]'| Int Int |tptp.'Array[Int,Int]'|)) % 60.97/61.13 (declare-const tptp.s4 |tptp.'Set'|) % 60.97/61.13 (declare-const tptp.i4 Int) % 60.97/61.13 (declare-const tptp.s3 |tptp.'Set'|) % 60.97/61.13 (declare-const tptp.insert (-> |tptp.'Set'| Int |tptp.'Set'|)) % 60.97/61.13 (declare-const tptp.member (-> Int |tptp.'Set'| Bool)) % 60.97/61.13 (declare-const tptp.delete (-> |tptp.'Set'| Int |tptp.'Set'|)) % 60.97/61.13 (declare-const tptp.sup (-> |tptp.'Set'| Int)) % 60.97/61.13 (declare-const tptp.s0 |tptp.'Set'|) % 60.97/61.13 (declare-const tptp.i1 Int) % 60.97/61.13 (declare-const tptp.arr |tptp.'Array[Int,Int]'|) % 60.97/61.13 (declare-const |tptp.'select:(Array[Int,Int]*Int)>Int'| (-> |tptp.'Array[Int,Int]'| Int Int)) % 60.97/61.13 (declare-const tptp.g (-> Int Int)) % 60.97/61.13 (declare-const tptp.s1 |tptp.'Set'|) % 60.97/61.13 (declare-const tptp.i2 Int) % 60.97/61.13 (declare-const tptp.s2 |tptp.'Set'|) % 60.97/61.13 (declare-const tptp.i3 Int) % 60.97/61.13 (define @t1 () (@var "A__questionmark_x" Int)) % 60.97/61.13 (define @t2 () (@var "A__questionmark_s" |tptp.'Set'|)) % 60.97/61.13 (define @t3 () (tptp.insert @t2 @t1)) % 60.97/61.13 (define @t4 () (@list @t1 @t2)) % 60.97/61.13 (define @t5 () (tptp.member @t1 @t2)) % 60.97/61.13 (define @t6 () (@var "A__questionmark_y" Int)) % 60.97/61.13 (define @t7 () (tptp.insert @t2 @t6)) % 60.97/61.13 (define @t8 () (= (tptp.member @t1 @t7) @t5)) % 60.97/61.13 (define @t9 () (= @t1 @t6)) % 60.97/61.13 (define @t10 () (not @t9)) % 60.97/61.13 (define @t11 () (@list @t1 @t6 @t2)) % 60.97/61.13 (define @t12 () (forall @t11 (=> @t10 @t8))) % 60.97/61.13 (define @t13 () (tptp.delete @t2 @t1)) % 60.97/61.13 (define @t14 () (not @t5)) % 60.97/61.13 (define @t15 () (tptp.sup @t2)) % 60.97/61.13 (define @t16 () (=> @t5 (<= @t1 @t15))) % 60.97/61.13 (define @t17 () (@list @t2 @t1)) % 60.97/61.13 (define @t18 () (forall @t17 @t16)) % 60.97/61.13 (define @t19 () (tptp.sup @t3)) % 60.97/61.13 (define @t20 () (= @t19 @t1)) % 60.97/61.13 (define @t21 () (=> (< @t15 @t1) @t20)) % 60.97/61.13 (define @t22 () (forall @t17 @t21)) % 60.97/61.13 (define @t23 () (tptp.sup tptp.s0)) % 60.97/61.13 (define @t24 () (@var "A__questionmark_i" Int)) % 60.97/61.13 (define @t25 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr @t24)) % 60.97/61.13 (define @t26 () (=> (> @t24 0) (< @t25 @t23))) % 60.97/61.13 (define @t27 () (@list @t24)) % 60.97/61.13 (define @t28 () (forall @t27 @t26)) % 60.97/61.13 (define @t29 () (tptp.g @t24)) % 60.97/61.13 (define @t30 () (forall @t27 (> @t29 0))) % 60.97/61.13 (define @t31 () (= tptp.s1 tptp.s0)) % 60.97/61.13 (define @t32 () (> tptp.i1 0)) % 60.97/61.13 (define @t33 () (not @t32)) % 60.97/61.13 (define @t34 () (=> @t33 @t31)) % 60.97/61.13 (define @t35 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr tptp.i1)) % 60.97/61.13 (define @t36 () (tptp.insert tptp.s0 @t35)) % 60.97/61.13 (define @t37 () (= tptp.s1 @t36)) % 60.97/61.13 (define @t38 () (=> @t32 @t37)) % 60.97/61.13 (define @t39 () (tptp.g tptp.i2)) % 60.97/61.13 (define @t40 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr @t39)) % 60.97/61.13 (define @t41 () (tptp.insert tptp.s1 @t40)) % 60.97/61.13 (define @t42 () (tptp.g tptp.i3)) % 60.97/61.13 (define @t43 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr @t42)) % 60.97/61.13 (define @t44 () (tptp.insert tptp.s2 @t43)) % 60.97/61.13 (define @t45 () (= tptp.s3 @t44)) % 60.97/61.13 (define @t46 () (tptp.sup tptp.s3)) % 60.97/61.13 (define @t47 () (= @t46 @t23)) % 60.97/61.13 (define @t48 () (not @t47)) % 60.97/61.13 (define @t49 () (@var "E" Int)) % 60.97/61.13 (define @t50 () (@var "I" Int)) % 60.97/61.13 (define @t51 () (@var "A" |tptp.'Array[Int,Int]'|)) % 60.97/61.13 (define @t52 () (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| @t51 @t50 @t49)) % 60.97/61.13 (define @t53 () (@var "J" Int)) % 60.97/61.13 (define @t54 () (@var "B" |tptp.'Array[Int,Int]'|)) % 60.97/61.13 (define @t55 () (tptp.insert @t41 @t43)) % 60.97/61.13 (define @t56 () (tptp.sup @t41)) % 60.97/61.13 (define @t57 () (tptp.member @t56 @t55)) % 60.97/61.13 (define @t58 () (tptp.member @t56 @t41)) % 60.97/61.13 (define @t59 () (= @t43 @t56)) % 60.97/61.13 (define @t60 () (= @t56 @t43)) % 60.97/61.13 (define @t61 () (or @t60 (= @t57 @t58))) % 60.97/61.13 (define @t62 () (forall @t11 (or @t9 @t8))) % 60.97/61.13 (define @t63 () (= @t58 @t57)) % 60.97/61.13 (define @t64 () (or @t59 @t63)) % 60.97/61.13 (define @t65 () (@list false)) % 60.97/61.13 (define @t66 () (@list @t62)) % 60.97/61.13 (define @t67 () (>= @t24 1)) % 60.97/61.13 (define @t68 () (* -1 @t23)) % 60.97/61.13 (define @t69 () (+ @t25 @t68)) % 60.97/61.13 (define @t70 () (>= @t69 0)) % 60.97/61.13 (define @t71 () (not @t70)) % 60.97/61.13 (define @t72 () (>= @t25 @t23)) % 60.97/61.13 (define @t73 () (+ 0 1)) % 60.97/61.13 (define @t74 () (>= @t24 @t73)) % 60.97/61.13 (define @t75 () (* -1 @t43)) % 60.97/61.13 (define @t76 () (+ @t23 @t75)) % 60.97/61.13 (define @t77 () (>= @t76 1)) % 60.97/61.13 (define @t78 () (+ @t68 @t43)) % 60.97/61.13 (define @t79 () (+ @t76 1)) % 60.97/61.13 (define @t80 () (+ @t43 @t68)) % 60.97/61.13 (define @t81 () (>= @t80 0)) % 60.97/61.13 (define @t82 () (not @t81)) % 60.97/61.13 (define @t83 () (>= @t42 1)) % 60.97/61.13 (define @t84 () (not @t83)) % 60.97/61.13 (define @t85 () (or @t84 @t82)) % 60.97/61.13 (define @t86 () (forall @t27 (or (not @t67) @t71))) % 60.97/61.13 (define @t87 () (or @t84 @t77)) % 60.97/61.13 (define @t88 () (@list @t86)) % 60.97/61.13 (define @t89 () (>= @t29 @t73)) % 60.97/61.13 (define @t90 () (@list false false)) % 60.97/61.13 (define @t91 () (+ @t1 (* -1 @t15))) % 60.97/61.13 (define @t92 () (>= @t91 1)) % 60.97/61.13 (define @t93 () (not @t92)) % 60.97/61.13 (define @t94 () (+ @t15 1)) % 60.97/61.13 (define @t95 () (>= @t1 @t94)) % 60.97/61.13 (define @t96 () (* -1 @t56)) % 60.97/61.13 (define @t97 () (+ @t23 @t96)) % 60.97/61.13 (define @t98 () (>= @t97 0)) % 60.97/61.13 (define @t99 () (+ @t68 @t56)) % 60.97/61.13 (define @t100 () (+ @t97 1)) % 60.97/61.13 (define @t101 () (+ @t56 @t68)) % 60.97/61.13 (define @t102 () (>= @t101 1)) % 60.97/61.13 (define @t103 () (not @t102)) % 60.97/61.13 (define @t104 () (tptp.member @t56 tptp.s0)) % 60.97/61.13 (define @t105 () (not @t104)) % 60.97/61.13 (define @t106 () (or @t105 @t103)) % 60.97/61.13 (define @t107 () (forall @t17 (or @t14 @t93))) % 60.97/61.13 (define @t108 () (or @t105 @t98)) % 60.97/61.13 (define @t109 () (@list @t107)) % 60.97/61.13 (define @t110 () (tptp.member @t56 @t36)) % 60.97/61.13 (define @t111 () (- @t35 @t56)) % 60.97/61.13 (define @t112 () (= @t35 @t56)) % 60.97/61.13 (define @t113 () (= @t56 @t35)) % 60.97/61.13 (define @t114 () (or @t113 (= @t110 @t104))) % 60.97/61.13 (define @t115 () (= @t104 @t110)) % 60.97/61.13 (define @t116 () (or @t112 @t115)) % 60.97/61.13 (define @t117 () (tptp.insert @t36 @t40)) % 60.97/61.13 (define @t118 () (tptp.member @t23 @t117)) % 60.97/61.13 (define @t119 () (tptp.member @t23 @t36)) % 60.97/61.13 (define @t120 () (= @t23 @t40)) % 60.97/61.13 (define @t121 () (or @t120 (= @t118 @t119))) % 60.97/61.13 (define @t122 () (= @t119 @t118)) % 60.97/61.13 (define @t123 () (or @t120 @t122)) % 60.97/61.13 (define @t124 () (* -1 @t40)) % 60.97/61.13 (define @t125 () (+ @t23 @t124)) % 60.97/61.13 (define @t126 () (>= @t125 1)) % 60.97/61.13 (define @t127 () (+ @t68 @t40)) % 60.97/61.13 (define @t128 () (+ @t125 1)) % 60.97/61.13 (define @t129 () (+ @t40 @t68)) % 60.97/61.13 (define @t130 () (>= @t129 0)) % 60.97/61.13 (define @t131 () (not @t130)) % 60.97/61.13 (define @t132 () (>= @t39 1)) % 60.97/61.13 (define @t133 () (not @t132)) % 60.97/61.13 (define @t134 () (or @t133 @t131)) % 60.97/61.13 (define @t135 () (or @t133 @t126)) % 60.97/61.13 (define @t136 () (>= -1 0)) % 60.97/61.13 (define @t137 () (+ -1 @t40)) % 60.97/61.13 (define @t138 () (- @t137 @t40)) % 60.97/61.13 (define @t139 () (* -1 1)) % 60.97/61.13 (define @t140 () (+ @t40 @t139)) % 60.97/61.13 (define @t141 () (* -1 @t125)) % 60.97/61.13 (define @t142 () (+ @t23 @t141)) % 60.97/61.13 (define @t143 () (< -1 0)) % 60.97/61.13 (define @t144 () (not @t120)) % 60.97/61.13 (define @t145 () (@list true false)) % 60.97/61.13 (define @t146 () (tptp.member @t23 tptp.s0)) % 60.97/61.13 (define @t147 () (= @t23 @t35)) % 60.97/61.13 (define @t148 () (or @t147 (= @t119 @t146))) % 60.97/61.13 (define @t149 () (= @t146 @t119)) % 60.97/61.13 (define @t150 () (or @t147 @t149)) % 60.97/61.13 (define @t151 () (* -1 @t35)) % 60.97/61.13 (define @t152 () (+ @t23 @t151)) % 60.97/61.13 (define @t153 () (>= @t152 1)) % 60.97/61.13 (define @t154 () (+ @t68 @t35)) % 60.97/61.13 (define @t155 () (+ @t152 1)) % 60.97/61.13 (define @t156 () (+ @t35 @t68)) % 60.97/61.13 (define @t157 () (>= @t156 0)) % 60.97/61.13 (define @t158 () (not @t157)) % 60.97/61.13 (define @t159 () (>= tptp.i1 1)) % 60.97/61.13 (define @t160 () (not @t159)) % 60.97/61.13 (define @t161 () (or @t160 @t158)) % 60.97/61.13 (define @t162 () (or @t160 @t153)) % 60.97/61.13 (define @t163 () (= @t23 @t46)) % 60.97/61.13 (define @t164 () (tptp.sup @t55)) % 60.97/61.13 (define @t165 () (* -1 @t164)) % 60.97/61.13 (define @t166 () (+ @t23 @t165)) % 60.97/61.13 (define @t167 () (>= @t166 0)) % 60.97/61.13 (define @t168 () (not @t167)) % 60.97/61.13 (define @t169 () (>= @t166 1)) % 60.97/61.13 (define @t170 () (= @t23 @t164)) % 60.97/61.13 (define @t171 () (not @t169)) % 60.97/61.13 (define @t172 () (not @t171)) % 60.97/61.13 (define @t173 () (not @t170)) % 60.97/61.13 (define @t174 () (= @t166 0)) % 60.97/61.13 (define @t175 () (and @t173 @t171)) % 60.97/61.13 (define @t176 () (= @t43 @t164)) % 60.97/61.13 (define @t177 () (not @t176)) % 60.97/61.13 (define @t178 () (not @t77)) % 60.97/61.13 (define @t179 () (+ @t43 @t165)) % 60.97/61.13 (define @t180 () (= @t179 0)) % 60.97/61.13 (define @t181 () (not true)) % 60.97/61.13 (define @t182 () (>= 0 0)) % 60.97/61.13 (define @t183 () (* -1 0)) % 60.97/61.13 (define @t184 () (+ @t183 1 @t139)) % 60.97/61.13 (define @t185 () (* 0 @t23)) % 60.97/61.13 (define @t186 () (= @t185 0)) % 60.97/61.13 (define @t187 () (* 0 @t164)) % 60.97/61.13 (define @t188 () (= @t187 0)) % 60.97/61.13 (define @t189 () (+ @t43 @t187 @t75 @t185)) % 60.97/61.13 (define @t190 () (* -1 @t76)) % 60.97/61.13 (define @t191 () (+ (* -1 @t179) @t166 @t190)) % 60.97/61.13 (define @t192 () (>= @t191 @t184)) % 60.97/61.13 (define @t193 () (- @t43 @t164)) % 60.97/61.13 (define @t194 () (and @t77 @t171 @t176)) % 60.97/61.13 (define @t195 () (+ @t68 @t164)) % 60.97/61.13 (define @t196 () (+ @t166 1)) % 60.97/61.13 (define @t197 () (+ @t164 @t68)) % 60.97/61.13 (define @t198 () (>= @t197 1)) % 60.97/61.13 (define @t199 () (not @t198)) % 60.97/61.13 (define @t200 () (tptp.member @t164 tptp.s0)) % 60.97/61.13 (define @t201 () (not @t200)) % 60.97/61.13 (define @t202 () (or @t201 @t199)) % 60.97/61.13 (define @t203 () (@list tptp.s0 @t164)) % 60.97/61.13 (define @t204 () (or @t201 @t167)) % 60.97/61.13 (define @t205 () (= @t1 @t19)) % 60.97/61.13 (define @t206 () (+ @t91 1)) % 60.97/61.13 (define @t207 () (>= @t15 @t1)) % 60.97/61.13 (define @t208 () (tptp.insert tptp.s0 @t164)) % 60.97/61.13 (define @t209 () (tptp.sup @t208)) % 60.97/61.13 (define @t210 () (= @t164 @t209)) % 60.97/61.13 (define @t211 () (or @t199 @t210)) % 60.97/61.13 (define @t212 () (forall @t17 (or @t93 @t205))) % 60.97/61.13 (define @t213 () (or @t167 @t210)) % 60.97/61.13 (define @t214 () (tptp.member @t164 @t41)) % 60.97/61.13 (define @t215 () (tptp.member @t164 @t55)) % 60.97/61.13 (define @t216 () (= @t215 @t214)) % 60.97/61.13 (define @t217 () (= @t164 @t43)) % 60.97/61.13 (define @t218 () (or @t217 @t216)) % 60.97/61.13 (define @t219 () (or @t176 @t216)) % 60.97/61.13 (define @t220 () (+ @t164 @t96)) % 60.97/61.13 (define @t221 () (>= @t220 1)) % 60.97/61.13 (define @t222 () (not @t221)) % 60.97/61.13 (define @t223 () (not @t214)) % 60.97/61.13 (define @t224 () (or @t223 @t222)) % 60.97/61.13 (define @t225 () (tptp.insert tptp.s0 @t40)) % 60.97/61.13 (define @t226 () (tptp.member @t164 @t225)) % 60.97/61.13 (define @t227 () (and @t31 @t214)) % 60.97/61.13 (define @t228 () (not @t98)) % 60.97/61.13 (define @t229 () (+ 1 0 -1)) % 60.97/61.13 (define @t230 () (+ 1 @t183 -1)) % 60.97/61.13 (define @t231 () (* 0 @t56)) % 60.97/61.13 (define @t232 () (= @t231 0)) % 60.97/61.13 (define @t233 () (+ @t231 @t165 @t164 @t185)) % 60.97/61.13 (define @t234 () (+ @t220 (* -1 @t97) @t166)) % 60.97/61.13 (define @t235 () (>= @t234 @t230)) % 60.97/61.13 (define @t236 () (= @t200 @t226)) % 60.97/61.13 (define @t237 () (- @t40 @t164)) % 60.97/61.13 (define @t238 () (= @t40 @t164)) % 60.97/61.13 (define @t239 () (= @t164 @t40)) % 60.97/61.13 (define @t240 () (or @t239 (= @t226 @t200))) % 60.97/61.13 (define @t241 () (or @t238 @t236)) % 60.97/61.13 (define @t242 () (not @t126)) % 60.97/61.13 (define @t243 () (not @t238)) % 60.97/61.13 (define @t244 () (not @t210)) % 60.97/61.13 (define @t245 () (not @t31)) % 60.97/61.13 (define @t246 () (= @t164 @t56)) % 60.97/61.13 (define @t247 () (= @t220 0)) % 60.97/61.13 (define @t248 () (+ @t183 @t183 0 @t139)) % 60.97/61.13 (define @t249 () (+ @t231 @t40 @t164 @t165 @t124 @t185)) % 60.97/61.13 (define @t250 () (+ @t40 @t165)) % 60.97/61.13 (define @t251 () (* -1 @t250)) % 60.97/61.13 (define @t252 () (+ (* -1 @t220) @t251 @t97 @t141)) % 60.97/61.13 (define @t253 () (>= @t252 @t248)) % 60.97/61.13 (define @t254 () (= @t250 0)) % 60.97/61.13 (define @t255 () (= (* 1 (- @t250 0)) (* 1 @t237))) % 60.97/61.13 (define @t256 () (= @t254 @t238)) % 60.97/61.13 (define @t257 () (and @t126 @t228 @t238 @t246)) % 60.97/61.13 (define @t258 () (tptp.member @t56 @t225)) % 60.97/61.13 (define @t259 () (and @t31 @t58)) % 60.97/61.13 (define @t260 () (tptp.member @t23 @t55)) % 60.97/61.13 (define @t261 () (not @t260)) % 60.97/61.13 (define @t262 () (or @t261 @t171)) % 60.97/61.13 (define @t263 () (tptp.member @t23 @t225)) % 60.97/61.13 (define @t264 () (or @t120 (= @t263 @t146))) % 60.97/61.13 (define @t265 () (= @t146 @t263)) % 60.97/61.13 (define @t266 () (or @t120 @t265)) % 60.97/61.13 (define @t267 () (not @t146)) % 60.97/61.13 (define @t268 () (tptp.member @t23 @t41)) % 60.97/61.13 (define @t269 () (and @t31 @t263)) % 60.97/61.13 (define @t270 () (>= @t97 1)) % 60.97/61.13 (define @t271 () (not @t270)) % 60.97/61.13 (define @t272 () (not @t268)) % 60.97/61.13 (define @t273 () (or @t272 @t271)) % 60.97/61.13 (define @t274 () (= @t40 @t56)) % 60.97/61.13 (define @t275 () (not @t274)) % 60.97/61.13 (define @t276 () (not @t271)) % 60.97/61.13 (define @t277 () (+ -1 1 0)) % 60.97/61.13 (define @t278 () (+ @t139 1 @t183)) % 60.97/61.13 (define @t279 () (+ @t231 @t40 @t124 @t185)) % 60.97/61.13 (define @t280 () (+ @t40 @t96)) % 60.97/61.13 (define @t281 () (+ @t141 @t97 (* -1 @t280))) % 60.97/61.13 (define @t282 () (>= @t281 @t278)) % 60.97/61.13 (define @t283 () (= @t280 0)) % 60.97/61.13 (define @t284 () (- @t40 @t56)) % 60.97/61.13 (define @t285 () (and @t274 @t271 @t126)) % 60.97/61.13 (define @t286 () (= @t56 @t40)) % 60.97/61.13 (define @t287 () (or @t286 (= @t258 @t104))) % 60.97/61.13 (define @t288 () (= @t104 @t258)) % 60.97/61.13 (define @t289 () (or @t274 @t288)) % 60.97/61.13 (define @t290 () (not @t57)) % 60.97/61.13 (define @t291 () (= @t23 @t56)) % 60.97/61.13 (define @t292 () (= (* 1 (- @t97 0)) (* 1 (- @t23 @t56)))) % 60.97/61.13 (define @t293 () (= (= @t97 0) @t291)) % 60.97/61.13 (define @t294 () (and @t271 @t261 @t98)) % 60.97/61.13 (define @t295 () (not @t63)) % 60.97/61.13 (define @t296 () (not @t59)) % 60.97/61.13 (define @t297 () (= @t23 @t43)) % 60.97/61.13 (define @t298 () (not @t297)) % 60.97/61.13 (define @t299 () (+ -1 @t43)) % 60.97/61.13 (define @t300 () (- @t299 @t43)) % 60.97/61.13 (define @t301 () (+ @t43 @t139)) % 60.97/61.13 (define @t302 () (+ @t23 @t190)) % 60.97/61.13 (define @t303 () (and @t59 @t98 @t271 @t298)) % 60.97/61.13 (define @t304 () (>= tptp.i1 @t73)) % 60.97/61.13 (define @t305 () (+ -1 @t35)) % 60.97/61.13 (define @t306 () (- @t305 @t35)) % 60.97/61.13 (define @t307 () (+ @t35 @t139)) % 60.97/61.13 (define @t308 () (* -1 @t152)) % 60.97/61.13 (define @t309 () (+ @t23 @t308)) % 60.97/61.13 (define @t310 () (not @t147)) % 60.97/61.13 (define @t311 () (and @t37 @t118)) % 60.97/61.13 (define @t312 () (not @t112)) % 60.97/61.13 (define @t313 () (not @t153)) % 60.97/61.13 (define @t314 () (+ @t231 @t35 @t151 @t185)) % 60.97/61.13 (define @t315 () (+ @t35 @t96)) % 60.97/61.13 (define @t316 () (+ @t308 @t97 (* -1 @t315))) % 60.97/61.13 (define @t317 () (>= @t316 @t278)) % 60.97/61.13 (define @t318 () (= @t315 0)) % 60.97/61.13 (define @t319 () (and @t112 @t271 @t153)) % 60.97/61.13 (define @t320 () (@list false true)) % 60.97/61.13 (define @t321 () (tptp.member @t56 @t117)) % 60.97/61.13 (define @t322 () (or @t286 (= @t321 @t110))) % 60.97/61.13 (define @t323 () (= @t110 @t321)) % 60.97/61.13 (define @t324 () (or @t274 @t323)) % 60.97/61.13 (define @t325 () (and @t37 @t58)) % 60.97/61.13 (define @t326 () (< @t166 1)) % 60.97/61.13 (define @t327 () (+ 1 @t183 @t139)) % 60.97/61.13 (define @t328 () (+ @t40 @t187 @t124 @t185)) % 60.97/61.13 (define @t329 () (+ @t166 @t251 @t141)) % 60.97/61.13 (define @t330 () (>= @t329 @t327)) % 60.97/61.13 (define @t331 () (and @t126 @t238 @t171)) % 60.97/61.13 (define @t332 () (tptp.member @t164 @t117)) % 60.97/61.13 (define @t333 () (tptp.member @t164 @t36)) % 60.97/61.13 (define @t334 () (or @t239 (= @t332 @t333))) % 60.97/61.13 (define @t335 () (= @t333 @t332)) % 60.97/61.13 (define @t336 () (or @t238 @t335)) % 60.97/61.13 (define @t337 () (and @t37 @t214)) % 60.97/61.13 (define @t338 () (= @t200 @t333)) % 60.97/61.13 (define @t339 () (- @t35 @t164)) % 60.97/61.13 (define @t340 () (= @t35 @t164)) % 60.97/61.13 (define @t341 () (= @t164 @t35)) % 60.97/61.13 (define @t342 () (or @t341 (= @t333 @t200))) % 60.97/61.13 (define @t343 () (or @t340 @t338)) % 60.97/61.13 (define @t344 () (not @t340)) % 60.97/61.13 (define @t345 () (+ @t35 @t187 @t151 @t185)) % 60.97/61.13 (define @t346 () (+ @t35 @t165)) % 60.97/61.13 (define @t347 () (+ @t308 @t166 (* -1 @t346))) % 60.97/61.13 (define @t348 () (>= @t347 @t278)) % 60.97/61.13 (define @t349 () (= @t346 0)) % 60.97/61.13 (define @t350 () (and @t340 @t171 @t153)) % 60.97/61.13 (define @t351 () (@list true true false)) % 60.97/61.13 (assume @p1 (forall @t4 (tptp.member @t1 @t3))) % 60.97/61.13 (assume @p2 @t12) % 60.97/61.13 (assume @p3 (forall @t4 (=> @t14 (= @t13 @t2)))) % 60.97/61.13 (assume @p4 (forall @t4 (= (tptp.delete @t3 @t1) @t13))) % 60.97/61.13 (assume @p5 (forall @t11 (=> @t10 (= (tptp.delete @t7 @t1) (tptp.insert @t13 @t6))))) % 60.97/61.13 (assume @p6 (forall (@list @t2) (tptp.member @t15 @t2))) % 60.97/61.13 (assume @p7 @t18) % 60.97/61.13 (assume @p8 @t22) % 60.97/61.13 (assume @p9 @t28) % 60.97/61.13 (assume @p10 @t30) % 60.97/61.13 (assume @p11 (and @t38 @t34)) % 60.97/61.13 (assume @p12 (= tptp.s2 @t41)) % 60.97/61.13 (assume @p13 @t45) % 60.97/61.13 (assume @p14 (= tptp.s4 (tptp.insert tptp.s3 (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr (tptp.g tptp.i4))))) % 60.97/61.13 (assume @p15 @t48) % 60.97/61.13 (assume @p16 (forall (@list @t51 @t50 @t49) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t52 @t50) @t49))) % 60.97/61.13 (assume @p17 (forall (@list @t51 @t50 @t53 @t49) (=> (not (= @t50 @t53)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t52 @t53) (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t51 @t53))))) % 60.97/61.13 (assume @p18 (forall (@list @t51 @t54) (=> (forall (@list @t50) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t51 @t50) (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t54 @t50))) (= @t51 @t54)))) % 60.97/61.13 (assume @p19 (forall (@list @t50 @t49) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'const:(Int)>Array[Int,Int]'| @t49) @t50) @t49))) % 60.97/61.13 (step @p20 :rule refl :args (@t8)) % 60.97/61.13 (step @p21 :rule bool-double-not-elim :args (@t9)) % 60.97/61.13 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t10) @t8))) % 60.97/61.13 (step @p23 :rule bool-impl-elim :args (@t10 @t8)) % 60.97/61.13 (step @p24 :rule trans :premises (@p23 @p22)) % 60.97/61.13 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 60.97/61.13 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 60.97/61.13 (step @p27 :rule eq-symm :args (@t57 @t58)) % 60.97/61.13 (step @p28 :rule arith_poly_norm :args ((= (* 1 (- @t56 @t43)) (* -1 (- @t43 @t56))))) % 60.97/61.13 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t60 @t59))) % 60.97/61.13 (step @p30 :rule nary_cong :premises (@p29 @p27) :args (@t61)) % 60.97/61.13 (step @p31 :rule refl :args (@t62)) % 60.97/61.13 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t62 @t61))) % 60.97/61.13 (assume-push @p1218 @t62) % 60.97/61.13 (step @p34 :rule instantiate :premises (@p26) :args ((@list @t56 @t43 @t41))) % 60.97/61.13 (step-pop @p1219 :rule scope :premises (@p34)) % 60.97/61.13 (step @p35 :rule process_scope :premises (@p1219) :args (@t61)) % 60.97/61.13 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 60.97/61.13 (step @p38 :rule implies_elim :premises (@p37)) % 60.97/61.13 (step @p39 :rule chain_m_resolution :premises (@p38 @p26) :args (@t64 @t65 @t66)) % 60.97/61.13 (step @p40 :rule bool-impl-elim :args (@t67 @t71)) % 60.97/61.13 (step @p41 :rule cong :premises (@p40) :args ((forall @t27 (=> @t67 @t71)))) % 60.97/61.13 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- @t25 @t23)) (* 1 (- @t69 0))))) % 60.97/61.13 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= @t72 @t70))) % 60.97/61.13 (step @p44 :rule cong :premises (@p43) :args ((not @t72))) % 60.97/61.13 (step @p45 :rule arith-elim-lt :args (@t25 @t23)) % 60.97/61.13 (step @p46 :rule trans :premises (@p45 @p44)) % 60.97/61.13 (step @p47 :rule bool-double-not-elim :args (@t67)) % 60.97/61.13 (step @p48 :rule evaluate :args (@t73)) % 60.97/61.13 (step @p49 :rule refl :args (@t24)) % 60.97/61.13 (step @p50 :rule cong :premises (@p49 @p48) :args (@t74)) % 60.97/61.13 (step @p51 :rule cong :premises (@p50) :args ((not @t74))) % 60.97/61.13 (step @p52 :rule arith-leq-norm :args (@t24 0)) % 60.97/61.13 (step @p53 :rule trans :premises (@p52 @p51)) % 60.97/61.13 (step @p54 :rule cong :premises (@p53) :args ((not (<= @t24 0)))) % 60.97/61.13 (step @p55 :rule trans :premises (@p54 @p47)) % 60.97/61.13 (step @p56 :rule arith-elim-leq :args (@t24 0)) % 60.97/61.13 (step @p57 :rule symm :premises (@p56)) % 60.97/61.13 (step @p58 :rule cong :premises (@p57) :args ((not (>= 0 @t24)))) % 60.97/61.13 (step @p59 :rule arith-elim-gt :args (@t24 0)) % 60.97/61.13 (step @p60 :rule trans :premises (@p59 @p58)) % 60.97/61.13 (step @p61 :rule trans :premises (@p60 @p55)) % 60.97/61.13 (step @p62 :rule cong :premises (@p61 @p46) :args (@t26)) % 60.97/61.13 (step @p63 :rule cong :premises (@p62) :args (@t28)) % 60.97/61.13 (step @p64 :rule trans :premises (@p63 @p41)) % 60.97/61.13 (step @p65 :rule eq_resolve :premises (@p9 @p64)) % 60.97/61.13 (step @p66 :rule bool-double-not-elim :args (@t77)) % 60.97/61.13 (step @p67 :rule arith_poly_norm :args ((= (* -1 (- 1 @t79)) (* -1 (- @t78 0))))) % 60.97/61.13 (step @p68 :rule arith_poly_norm_rel :premises (@p67) :args ((= (>= 1 @t79) (>= @t78 0)))) % 60.97/61.13 (step @p69 :rule arith-geq-tighten :args (@t76 1)) % 60.97/61.13 (step @p70 :rule trans :premises (@p69 @p68)) % 60.97/61.13 (step @p71 :rule symm :premises (@p70)) % 60.97/61.13 (step @p72 :rule refl :args (0)) % 60.97/61.13 (step @p73 :rule arith_poly_norm :args ((= @t80 @t78))) % 60.97/61.13 (step @p74 :rule cong :premises (@p73 @p72) :args (@t81)) % 60.97/61.13 (step @p75 :rule trans :premises (@p74 @p71)) % 60.97/61.13 (step @p76 :rule cong :premises (@p75) :args (@t82)) % 60.97/61.13 (step @p77 :rule trans :premises (@p76 @p66)) % 60.97/61.13 (step @p78 :rule refl :args (@t84)) % 60.97/61.13 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t85)) % 60.97/61.13 (step @p80 :rule refl :args (@t86)) % 60.97/61.13 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t86 @t85))) % 60.97/61.13 (assume-push @p1220 @t86) % 60.97/61.13 (step @p83 :rule instantiate :premises (@p65) :args ((@list @t42))) % 60.97/61.13 (step-pop @p1221 :rule scope :premises (@p83)) % 60.97/61.13 (step @p84 :rule process_scope :premises (@p1221) :args (@t85)) % 60.97/61.13 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 60.97/61.13 (step @p87 :rule implies_elim :premises (@p86)) % 60.97/61.13 (step @p88 :rule chain_m_resolution :premises (@p87 @p65) :args (@t87 @t65 @t88)) % 60.97/61.13 (step @p89 :rule bool-double-not-elim :args ((>= @t29 1))) % 60.97/61.13 (step @p90 :rule refl :args (@t29)) % 60.97/61.13 (step @p91 :rule cong :premises (@p90 @p48) :args (@t89)) % 60.97/61.13 (step @p92 :rule cong :premises (@p91) :args ((not @t89))) % 60.97/61.13 (step @p93 :rule arith-leq-norm :args (@t29 0)) % 60.97/61.13 (step @p94 :rule trans :premises (@p93 @p92)) % 60.97/61.13 (step @p95 :rule cong :premises (@p94) :args ((not (<= @t29 0)))) % 60.97/61.13 (step @p96 :rule trans :premises (@p95 @p89)) % 60.97/61.13 (step @p97 :rule arith-elim-leq :args (@t29 0)) % 60.97/61.13 (step @p98 :rule symm :premises (@p97)) % 60.97/61.13 (step @p99 :rule cong :premises (@p98) :args ((not (>= 0 @t29)))) % 60.97/61.13 (step @p100 :rule arith-elim-gt :args (@t29 0)) % 60.97/61.13 (step @p101 :rule trans :premises (@p100 @p99)) % 60.97/61.13 (step @p102 :rule trans :premises (@p101 @p96)) % 60.97/61.13 (step @p103 :rule cong :premises (@p102) :args (@t30)) % 60.97/61.13 (step @p104 :rule eq_resolve :premises (@p10 @p103)) % 60.97/61.13 (step @p105 :rule instantiate :premises (@p104) :args ((@list tptp.i3))) % 60.97/61.13 (step @p106 :rule cnf_or_pos :args (@t87)) % 60.97/61.13 (step @p107 :rule reordering :premises (@p106) :args ((or @t84 @t77 (not @t87)))) % 60.97/61.13 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p88) :args (@t77 @t90 (@list @t83 @t87))) % 60.97/61.13 (step @p109 :rule bool-impl-elim :args (@t5 @t93)) % 60.97/61.13 (step @p110 :rule cong :premises (@p109) :args ((forall @t17 (=> @t5 @t93)))) % 60.97/61.13 (step @p111 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t94)) (* -1 (- @t91 1))))) % 60.97/61.13 (step @p112 :rule arith_poly_norm_rel :premises (@p111) :args ((= @t95 @t92))) % 60.97/61.13 (step @p113 :rule cong :premises (@p112) :args ((not @t95))) % 60.97/61.13 (step @p114 :rule arith-leq-norm :args (@t1 @t15)) % 60.97/61.13 (step @p115 :rule trans :premises (@p114 @p113)) % 60.97/61.13 (step @p116 :rule refl :args (@t5)) % 60.97/61.13 (step @p117 :rule cong :premises (@p116 @p115) :args (@t16)) % 60.97/61.13 (step @p118 :rule cong :premises (@p117) :args (@t18)) % 60.97/61.13 (step @p119 :rule trans :premises (@p118 @p110)) % 60.97/61.13 (step @p120 :rule eq_resolve :premises (@p7 @p119)) % 60.97/61.13 (step @p121 :rule bool-double-not-elim :args (@t98)) % 60.97/61.13 (step @p122 :rule arith_poly_norm :args ((= (* -1 (- 0 @t100)) (* -1 (- @t99 1))))) % 60.97/61.13 (step @p123 :rule arith_poly_norm_rel :premises (@p122) :args ((= (>= 0 @t100) (>= @t99 1)))) % 60.97/61.13 (step @p124 :rule arith-geq-tighten :args (@t97 0)) % 60.97/61.13 (step @p125 :rule trans :premises (@p124 @p123)) % 60.97/61.13 (step @p126 :rule symm :premises (@p125)) % 60.97/61.13 (step @p127 :rule refl :args (1)) % 60.97/61.13 (step @p128 :rule arith_poly_norm :args ((= @t101 @t99))) % 60.97/61.13 (step @p129 :rule cong :premises (@p128 @p127) :args (@t102)) % 60.97/61.13 (step @p130 :rule trans :premises (@p129 @p126)) % 60.97/61.13 (step @p131 :rule cong :premises (@p130) :args (@t103)) % 60.97/61.13 (step @p132 :rule trans :premises (@p131 @p121)) % 60.97/61.13 (step @p133 :rule refl :args (@t105)) % 60.97/61.13 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t106)) % 60.97/61.13 (step @p135 :rule refl :args (@t107)) % 60.97/61.13 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t107 @t106))) % 60.97/61.13 (assume-push @p1222 @t107) % 60.97/61.13 (step @p138 :rule instantiate :premises (@p120) :args ((@list tptp.s0 @t56))) % 60.97/61.13 (step-pop @p1223 :rule scope :premises (@p138)) % 60.97/61.13 (step @p139 :rule process_scope :premises (@p1223) :args (@t106)) % 60.97/61.13 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 60.97/61.13 (step @p142 :rule implies_elim :premises (@p141)) % 60.97/61.13 (step @p143 :rule chain_m_resolution :premises (@p142 @p120) :args (@t108 @t65 @t109)) % 60.97/61.13 (step @p144 :rule eq-symm :args (@t110 @t104)) % 60.97/61.13 (step @p145 :rule arith_poly_norm :args ((= (* 1 (- @t56 @t35)) (* -1 @t111)))) % 60.97/61.13 (step @p146 :rule arith_poly_norm_rel :premises (@p145) :args ((= @t113 @t112))) % 60.97/61.13 (step @p147 :rule nary_cong :premises (@p146 @p144) :args (@t114)) % 60.97/61.13 (step @p148 :rule cong :premises (@p31 @p147) :args ((=> @t62 @t114))) % 60.97/61.13 (assume-push @p1224 @t62) % 60.97/61.13 (step @p150 :rule instantiate :premises (@p26) :args ((@list @t56 @t35 tptp.s0))) % 60.97/61.13 (step-pop @p1225 :rule scope :premises (@p150)) % 60.97/61.13 (step @p151 :rule process_scope :premises (@p1225) :args (@t114)) % 60.97/61.13 (step @p153 :rule eq_resolve :premises (@p151 @p148)) % 60.97/61.13 (step @p154 :rule implies_elim :premises (@p153)) % 60.97/61.13 (step @p155 :rule chain_m_resolution :premises (@p154 @p26) :args (@t116 @t65 @t66)) % 60.97/61.13 (step @p156 :rule instantiate :premises (@p120) :args ((@list @t41 @t23))) % 60.97/61.13 (step @p157 :rule eq-symm :args (@t118 @t119)) % 60.97/61.13 (step @p158 :rule refl :args (@t120)) % 60.97/61.13 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t121)) % 60.97/61.13 (step @p160 :rule cong :premises (@p31 @p159) :args ((=> @t62 @t121))) % 60.97/61.13 (assume-push @p1226 @t62) % 60.97/61.13 (step @p162 :rule instantiate :premises (@p26) :args ((@list @t23 @t40 @t36))) % 60.97/61.13 (step-pop @p1227 :rule scope :premises (@p162)) % 60.97/61.13 (step @p163 :rule process_scope :premises (@p1227) :args (@t121)) % 60.97/61.13 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 60.97/61.13 (step @p166 :rule implies_elim :premises (@p165)) % 60.97/61.13 (step @p167 :rule chain_m_resolution :premises (@p166 @p26) :args (@t123 @t65 @t66)) % 60.97/61.13 (step @p168 :rule bool-double-not-elim :args (@t126)) % 60.97/61.13 (step @p169 :rule arith_poly_norm :args ((= (* -1 (- 1 @t128)) (* -1 (- @t127 0))))) % 60.97/61.13 (step @p170 :rule arith_poly_norm_rel :premises (@p169) :args ((= (>= 1 @t128) (>= @t127 0)))) % 60.97/61.13 (step @p171 :rule arith-geq-tighten :args (@t125 1)) % 60.97/61.13 (step @p172 :rule trans 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:premises (@p1032) :args ((or @t274 @t323 (not @t324)))) % 60.97/61.14 (step @p1034 :rule chain_m_resolution :premises (@p1033 @p1031 @p1030) :args (@t323 @t145 (@list @t274 @t324))) % 60.97/61.14 (assume-push @p1414 @t37) % 60.97/61.14 (assume-push @p1415 @t58) % 60.97/61.14 (assume-push @p1416 @t58) % 60.97/61.14 (assume-push @p1417 @t37) % 60.97/61.14 (step @p617 :rule true_intro :premises (@p612)) % 60.97/61.14 (step @p207 :rule refl :args (@t40)) % 60.97/61.14 (step @p1039 :rule symm :premises (@p1414)) % 60.97/61.14 (step @p1040 :rule cong :premises (@p1039 @p207) :args (@t117)) % 60.97/61.14 (step @p620 :rule refl :args (@t56)) % 60.97/61.14 (step @p1041 :rule cong :premises (@p620 @p1040) :args (@t321)) % 60.97/61.14 (step @p1042 :rule trans :premises (@p1041 @p617)) % 60.97/61.14 (step @p1043 :rule true_elim :premises (@p1042)) % 60.97/61.14 (step-pop @p1418 :rule scope :premises (@p1043)) % 60.97/61.14 (step-pop @p1419 :rule scope :premises (@p1418)) % 60.97/61.14 (step 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60.97/61.14 (step @p1076 :rule trans :premises (@p1075 @p1074)) % 60.97/61.14 (step @p1077 :rule arith_poly_norm :args ((= @t329 @t328))) % 60.97/61.14 (step @p1078 :rule trans :premises (@p1077 @p1076)) % 60.97/61.14 (step @p1079 :rule cong :premises (@p1078 @p1073) :args (@t330)) % 60.97/61.14 (step @p1080 :rule trans :premises (@p1079 @p321)) % 60.97/61.14 (step @p1081 :rule cong :premises (@p1080) :args ((not @t330))) % 60.97/61.14 (step @p1082 :rule trans :premises (@p1081 @p320)) % 60.97/61.14 (step @p1083 :rule arith-elim-lt :args (@t329 @t327)) % 60.97/61.14 (step @p1084 :rule trans :premises (@p1083 @p1082)) % 60.97/61.14 (step @p217 :rule arith_mult_neg :args (-1 @t126)) % 60.97/61.14 (step @p218 :rule evaluate :args (@t143)) % 60.97/61.14 (step @p219 :rule true_elim :premises (@p218)) % 60.97/61.14 (step @p220 :rule and_intro :premises (@p219 @p192)) % 60.97/61.14 (step @p221 :rule modus_ponens :premises (@p220 @p217)) % 60.97/61.14 (step @p554 :rule arith_mult_neg :args (-1 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60.97/61.14 (step @p1095 false :rule contra :premises (@p1094 @p1093)) % 60.97/61.14 (step-pop @p1427 :rule scope :premises (@p1095)) % 60.97/61.14 (step-pop @p1428 :rule scope :premises (@p1427)) % 60.97/61.14 (step-pop @p1429 :rule scope :premises (@p1428)) % 60.97/61.14 (step @p1096 :rule process_scope :premises (@p1429) :args (false)) % 60.97/61.14 (assume-push @p1430 @t171) % 60.97/61.14 (assume-push @p1431 @t238) % 60.97/61.14 (assume-push @p1432 @t126) % 60.97/61.14 (step @p1103 :rule and_intro :premises (@p192 @p1431 @p1430)) % 60.97/61.14 (step-pop @p1433 :rule scope :premises (@p1103)) % 60.97/61.14 (step-pop @p1434 :rule scope :premises (@p1433)) % 60.97/61.14 (step-pop @p1435 :rule scope :premises (@p1434)) % 60.97/61.14 (step @p1104 :rule process_scope :premises (@p1435) :args (@t331)) % 60.97/61.14 (step @p1108 :rule implies_elim :premises (@p1104)) % 60.97/61.14 (step @p1109 :rule resolution :premises (@p1108 @p1096) :args (true @t331)) % 60.97/61.14 (step @p1110 :rule 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@t336)))) % 60.97/61.14 (assume-push @p1438 @t37) % 60.97/61.14 (assume-push @p1439 @t214) % 60.97/61.14 (assume-push @p1440 @t214) % 60.97/61.14 (assume-push @p1441 @t37) % 60.97/61.14 (step @p1128 :rule true_intro :premises (@p1439)) % 60.97/61.14 (step @p207 :rule refl :args (@t40)) % 60.97/61.14 (step @p1129 :rule symm :premises (@p1438)) % 60.97/61.14 (step @p1130 :rule cong :premises (@p1129 @p207) :args (@t117)) % 60.97/61.14 (step @p453 :rule refl :args (@t164)) % 60.97/61.14 (step @p1131 :rule cong :premises (@p453 @p1130) :args (@t332)) % 60.97/61.14 (step @p1132 :rule trans :premises (@p1131 @p1128)) % 60.97/61.14 (step @p1133 :rule true_elim :premises (@p1132)) % 60.97/61.14 (step-pop @p1442 :rule scope :premises (@p1133)) % 60.97/61.14 (step-pop @p1443 :rule scope :premises (@p1442)) % 60.97/61.14 (step @p1134 :rule process_scope :premises (@p1443) :args (@t332)) % 60.97/61.14 (step @p1137 :rule and_intro :premises (@p1439 @p1438)) % 60.97/61.14 (step @p1138 :rule modus_ponens :premises (@p1137 @p1134)) % 60.97/61.14 (step-pop @p1444 :rule scope :premises (@p1138)) % 60.97/61.14 (step-pop @p1445 :rule scope :premises (@p1444)) % 60.97/61.14 (step @p1139 :rule process_scope :premises (@p1445) :args (@t332)) % 60.97/61.14 (step @p1142 :rule implies_elim :premises (@p1139)) % 60.97/61.14 (step @p1143 :rule cnf_and_neg :args (@t337)) % 60.97/61.14 (step @p1144 :rule resolution :premises (@p1143 @p1142) :args (true @t337)) % 60.97/61.14 (step @p1145 :rule cnf_equiv_pos2 :args (@t335)) % 60.97/61.14 (step @p1146 :rule reordering :premises (@p1145) :args ((or @t333 (not @t332) (not @t335)))) % 60.97/61.14 (step @p1147 :rule cnf_equiv_pos2 :args (@t338)) % 60.97/61.14 (step @p1148 :rule reordering :premises (@p1147) :args ((or @t200 (not @t333) (not @t338)))) % 60.97/61.14 (step @p1149 :rule eq-symm :args (@t333 @t200)) % 60.97/61.14 (step @p1150 :rule arith_poly_norm :args ((= (* 1 (- @t164 @t35)) (* -1 @t339)))) % 60.97/61.14 (step @p1151 :rule arith_poly_norm_rel :premises (@p1150) :args ((= @t341 @t340))) % 60.97/61.14 (step @p1152 :rule nary_cong :premises (@p1151 @p1149) :args (@t342)) % 60.97/61.14 (step @p1153 :rule cong :premises (@p31 @p1152) :args ((=> @t62 @t342))) % 60.97/61.14 (assume-push @p1446 @t62) % 60.97/61.14 (step @p1155 :rule instantiate :premises (@p26) :args ((@list @t164 @t35 tptp.s0))) % 60.97/61.14 (step-pop @p1447 :rule scope :premises (@p1155)) % 60.97/61.14 (step @p1156 :rule process_scope :premises (@p1447) :args (@t342)) % 60.97/61.14 (step @p1158 :rule eq_resolve :premises (@p1156 @p1153)) % 60.97/61.14 (step @p1159 :rule implies_elim :premises (@p1158)) % 60.97/61.14 (step @p1160 :rule chain_m_resolution :premises (@p1159 @p26) :args (@t343 @t65 @t66)) % 60.97/61.14 (step @p1161 :rule cnf_or_pos :args (@t343)) % 60.97/61.14 (step @p1162 :rule reordering :premises (@p1161) :args ((or @t340 @t338 (not @t343)))) % 60.97/61.14 (step @p1163 :rule refl :args (@t344)) % 60.97/61.14 (step @p1164 :rule nary_cong :premises (@p282 @p964 @p1163) :args ((or @t172 @t313 @t344))) % 60.97/61.14 (assume-push @p1448 @t340) % 60.97/61.14 (assume-push @p1449 @t171) % 60.97/61.14 (assume-push @p1450 @t153) % 60.97/61.14 (step @p969 :rule arith-elim-lt :args (@t152 1)) % 60.97/61.14 (step @p970 :rule symm :premises (@p969)) % 60.97/61.14 (assume-push @p1451 @t153) % 60.97/61.14 (step @p320 :rule evaluate :args (@t181)) % 60.97/61.14 (step @p321 :rule evaluate :args (@t182)) % 60.97/61.14 (step @p687 :rule evaluate :args (@t277)) % 60.97/61.14 (step @p323 :rule evaluate :args (@t183)) % 60.97/61.14 (step @p206 :rule evaluate :args (@t139)) % 60.97/61.14 (step @p688 :rule nary_cong :premises (@p206 @p127 @p323) :args (@t278)) % 60.97/61.14 (step @p689 :rule trans :premises (@p688 @p687)) % 60.97/61.14 (step @p1169 :rule arith_poly_norm :args ((= (+ @t35 0 @t151 0) 0))) % 60.97/61.14 (step @p327 :rule arith_poly_norm :args (@t186)) % 60.97/61.14 (step @p973 :rule refl :args (@t151)) % 60.97/61.14 (step @p329 :rule arith_poly_norm :args (@t188)) % 60.97/61.14 (step @p901 :rule refl :args (@t35)) % 60.97/61.14 (step @p1170 :rule nary_cong :premises (@p901 @p329 @p973 @p327) :args (@t345)) % 60.97/61.14 (step @p1171 :rule trans :premises (@p1170 @p1169)) % 60.97/61.14 (step @p1172 :rule arith_poly_norm :args ((= @t347 @t345))) % 60.97/61.14 (step @p1173 :rule trans :premises (@p1172 @p1171)) % 60.97/61.14 (step @p1174 :rule cong :premises (@p1173 @p689) :args (@t348)) % 60.97/61.14 (step @p1175 :rule trans :premises (@p1174 @p321)) % 60.97/61.14 (step @p1176 :rule cong :premises (@p1175) :args ((not @t348))) % 60.97/61.14 (step @p1177 :rule trans :premises (@p1176 @p320)) % 60.97/61.14 (step @p1178 :rule arith-elim-lt :args (@t347 @t278)) % 60.97/61.14 (step @p1179 :rule trans :premises (@p1178 @p1177)) % 60.97/61.14 (step @p1180 :rule arith_mult_neg :args (-1 @t349)) % 60.97/61.14 (step @p1181 :rule arith_poly_norm :args ((= (* 1 (- @t346 0)) (* 1 @t339)))) % 60.97/61.14 (step @p1182 :rule arith_poly_norm_rel :premises (@p1181) :args ((= @t349 @t340))) % 60.97/61.14 (step @p1183 :rule symm :premises (@p1182)) % 60.97/61.14 (step @p1184 :rule eq_resolve :premises (@p1448 @p1183)) % 60.97/61.14 (step @p218 :rule evaluate :args (@t143)) % 60.97/61.14 (step @p219 :rule true_elim :premises (@p218)) % 60.97/61.14 (step @p1185 :rule and_intro :premises (@p219 @p1184)) % 60.97/61.14 (step @p1186 :rule modus_ponens :premises (@p1185 @p1180)) % 60.97/61.14 (step @p290 :rule arith-elim-lt :args (@t166 1)) % 60.97/61.14 (step @p291 :rule symm :premises (@p290)) % 60.97/61.14 (step @p1187 :rule eq_resolve :premises (@p1449 @p291)) % 60.97/61.14 (step @p910 :rule arith_mult_neg :args (-1 @t153)) % 60.97/61.14 (step @p1188 :rule and_intro :premises (@p219 @p1450)) % 60.97/61.14 (step @p1189 :rule modus_ponens :premises (@p1188 @p910)) % 60.97/61.14 (step @p1190 :rule arith_sum_ub :premises (@p1189 @p1187 @p1186)) % 60.97/61.14 (step @p1191 false :rule eq_resolve :premises (@p1190 @p1179)) % 60.97/61.14 (step-pop @p1452 :rule scope :premises (@p1191)) % 60.97/61.14 (step @p1192 :rule process_scope :premises (@p1452) :args (false)) % 60.97/61.14 (step @p1194 :rule eq_resolve :premises (@p1192 @p970)) % 60.97/61.14 (step @p1195 :rule eq_resolve :premises (@p1194 @p969)) % 60.97/61.14 (step @p1196 false :rule contra :premises (@p1450 @p1195)) % 60.97/61.14 (step-pop @p1453 :rule scope :premises (@p1196)) % 60.97/61.14 (step-pop @p1454 :rule scope :premises (@p1453)) % 60.97/61.14 (step-pop @p1455 :rule scope :premises (@p1454)) % 60.97/61.14 (step @p1197 :rule process_scope :premises (@p1455) :args (false)) % 60.97/61.14 (assume-push @p1456 @t171) % 60.97/61.14 (assume-push @p1457 @t153) % 60.97/61.14 (assume-push @p1458 @t340) % 60.97/61.14 (step @p1204 :rule and_intro :premises (@p1458 @p1456 @p1457)) % 60.97/61.14 (step-pop @p1459 :rule scope :premises (@p1204)) % 60.97/61.14 (step-pop @p1460 :rule scope :premises (@p1459)) % 60.97/61.14 (step-pop @p1461 :rule scope :premises (@p1460)) % 60.97/61.14 (step @p1205 :rule process_scope :premises (@p1461) :args (@t350)) % 60.97/61.14 (step @p1209 :rule implies_elim :premises (@p1205)) % 60.97/61.14 (step @p1210 :rule resolution :premises (@p1209 @p1197) :args (true @t350)) % 60.97/61.14 (step @p1211 :rule not_and :premises (@p1210)) % 60.97/61.14 (step @p1212 :rule eq_resolve :premises (@p1211 @p1164)) % 60.97/61.14 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p889 @p1162 @p1160 @p1148 @p1146 @p1144 @p939 @p442 @p440 @p1123 @p1121 @p439 @p437 @p394 @p392 @p1111 @p192 @p371 @p108 @p312 @p280) :args (@t169 (@list false false false true false false false false false false false false false true false true false true false true true) (@list @t153 @t340 @t343 @t338 @t333 @t332 @t37 @t214 @t215 @t335 @t336 @t216 @t219 @t200 @t204 @t238 @t126 @t176 @t77 @t167 @t170))) % 60.97/61.14 (step @p1214 :rule chain_m_resolution :premises (@p637 @p1213 @p635) :args (@t261 @t90 (@list @t169 @t262))) % 60.97/61.14 (step @p1215 :rule chain_m_resolution :premises (@p791 @p962 @p1214 @p1062) :args (@t290 @t351 (@list @t270 @t260 @t98))) % 60.97/61.14 (step @p1216 :rule chain_m_resolution :premises (@p793 @p612 @p1215) :args (@t295 @t320 (@list @t58 @t57))) % 60.97/61.14 (step @p1217 false :rule chain_m_resolution :premises (@p795 @p1216 @p1063 @p39) :args (false @t351 (@list @t63 @t59 @t64))) % 60.97/61.14 ) % 60.97/61.14 % SZS output end Proof % 60.97/61.14 % cvc5 exiting %------------------------------------------------------------------------------