%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT050_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:14:25 AM UTC 2026 % Result : Theorem 45.88s 46.06s % Output : Proof 45.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT050_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 : Mon Jun 1 22:27:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 45.88/46.06 --- Run --finite-model-find --decision=internal at 45... % 45.88/46.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.88/46.06 % SZS status Theorem % 45.88/46.06 % SZS output start Proof % 45.88/46.06 ( % 45.88/46.06 (declare-sort tptp.collection 0) % 45.88/46.06 (declare-const tptp.count (-> tptp.collection Int)) % 45.88/46.06 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.88/46.06 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.88/46.06 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.88/46.06 (declare-const tptp.empty tptp.collection) % 45.88/46.06 (define @t1 () (@var "U" Int)) % 45.88/46.06 (define @t2 () (@var "W" tptp.collection)) % 45.88/46.06 (define @t3 () (@var "V" Int)) % 45.88/46.06 (define @t4 () (@var "Y" tptp.collection)) % 45.88/46.06 (define @t5 () (@var "X" Int)) % 45.88/46.06 (define @t6 () (@var "X1" tptp.collection)) % 45.88/46.06 (define @t7 () (@var "X2" Int)) % 45.88/46.06 (define @t8 () (@var "Z" Int)) % 45.88/46.06 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 45.88/46.06 (define @t10 () (@var "X4" tptp.collection)) % 45.88/46.06 (define @t11 () (@var "X5" Int)) % 45.88/46.06 (define @t12 () (@var "X3" Int)) % 45.88/46.06 (define @t13 () (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 45.88/46.06 (define @t14 () (@var "X6" tptp.collection)) % 45.88/46.06 (define @t15 () (@var "X7" tptp.collection)) % 45.88/46.06 (define @t16 () (@var "X9" tptp.collection)) % 45.88/46.06 (define @t17 () (tptp.count @t16)) % 45.88/46.06 (define @t18 () (+ @t17 1)) % 45.88/46.06 (define @t19 () (@var "X8" Int)) % 45.88/46.06 (define @t20 () (tptp.count (tptp.add @t19 @t16))) % 45.88/46.06 (define @t21 () (= @t20 @t18)) % 45.88/46.06 (define @t22 () (not (tptp.in @t19 @t16))) % 45.88/46.06 (define @t23 () (= @t22 @t21)) % 45.88/46.06 (define @t24 () (@list @t19 @t16)) % 45.88/46.06 (define @t25 () (forall @t24 @t23)) % 45.88/46.06 (define @t26 () (@var "X11" tptp.collection)) % 45.88/46.06 (define @t27 () (@var "X10" Int)) % 45.88/46.06 (define @t28 () (forall (@list @t27 @t26) (= (tptp.in @t27 @t26) (= (tptp.count (tptp.add @t27 @t26)) (tptp.count @t26))))) % 45.88/46.06 (define @t29 () (@var "X13" tptp.collection)) % 45.88/46.06 (define @t30 () (tptp.count @t29)) % 45.88/46.06 (define @t31 () (- @t30 1)) % 45.88/46.06 (define @t32 () (@var "X12" Int)) % 45.88/46.06 (define @t33 () (tptp.count (tptp.remove @t32 @t29))) % 45.88/46.06 (define @t34 () (= @t33 @t31)) % 45.88/46.06 (define @t35 () (tptp.in @t32 @t29)) % 45.88/46.06 (define @t36 () (= @t35 @t34)) % 45.88/46.06 (define @t37 () (@list @t32 @t29)) % 45.88/46.06 (define @t38 () (forall @t37 @t36)) % 45.88/46.06 (define @t39 () (@var "X15" tptp.collection)) % 45.88/46.06 (define @t40 () (@var "X14" Int)) % 45.88/46.06 (define @t41 () (forall (@list @t40 @t39) (= (not (tptp.in @t40 @t39)) (= (tptp.count (tptp.remove @t40 @t39)) (tptp.count @t39))))) % 45.88/46.06 (define @t42 () (@var "X17" tptp.collection)) % 45.88/46.06 (define @t43 () (@var "X16" Int)) % 45.88/46.06 (define @t44 () (= @t42 (tptp.add @t43 (tptp.remove @t43 @t42)))) % 45.88/46.06 (define @t45 () (tptp.in @t43 @t42)) % 45.88/46.06 (define @t46 () (forall (@list @t43 @t42) (=> @t45 @t44))) % 45.88/46.06 (define @t47 () (@var "U" tptp.collection)) % 45.88/46.06 (define @t48 () (forall (@list @t47 @t3) (= (tptp.count (tptp.add 0 (tptp.remove @t3 (tptp.add @t3 @t47)))) (tptp.count (tptp.add 0 (tptp.remove @t3 @t47)))))) % 45.88/46.06 (define @t49 () (@quantifiers_skolemize @t48 1)) % 45.88/46.06 (define @t50 () (= @t49 0)) % 45.88/46.06 (define @t51 () (not @t50)) % 45.88/46.06 (define @t52 () (@quantifiers_skolemize @t48 0)) % 45.88/46.06 (define @t53 () (tptp.add @t49 @t52)) % 45.88/46.06 (define @t54 () (tptp.in 0 @t53)) % 45.88/46.06 (define @t55 () (and @t54 @t51)) % 45.88/46.06 (define @t56 () (not @t55)) % 45.88/46.06 (define @t57 () (= 0 @t49)) % 45.88/46.06 (define @t58 () (tptp.in 0 @t52)) % 45.88/46.06 (define @t59 () (or @t58 @t57)) % 45.88/46.06 (define @t60 () (= @t59 @t54)) % 45.88/46.06 (define @t61 () (@list 0 @t52 @t49)) % 45.88/46.06 (define @t62 () (or @t58 @t50)) % 45.88/46.06 (define @t63 () (= @t54 @t62)) % 45.88/46.06 (define @t64 () (@list false)) % 45.88/46.06 (define @t65 () (not @t63)) % 45.88/46.06 (define @t66 () (not @t62)) % 45.88/46.06 (define @t67 () (not @t57)) % 45.88/46.06 (define @t68 () (and @t54 @t67)) % 45.88/46.06 (define @t69 () (tptp.remove @t49 @t53)) % 45.88/46.06 (define @t70 () (tptp.in 0 @t69)) % 45.88/46.06 (define @t71 () (= @t68 @t70)) % 45.88/46.06 (define @t72 () (= @t70 @t55)) % 45.88/46.06 (define @t73 () (@list @t13)) % 45.88/46.06 (define @t74 () (not @t72)) % 45.88/46.06 (define @t75 () (not @t70)) % 45.88/46.06 (define @t76 () (not @t58)) % 45.88/46.06 (define @t77 () (+ 1 @t17)) % 45.88/46.06 (define @t78 () (@list 0 @t69)) % 45.88/46.06 (define @t79 () (tptp.count @t69)) % 45.88/46.06 (define @t80 () (+ 1 @t79)) % 45.88/46.06 (define @t81 () (tptp.count (tptp.add 0 @t69))) % 45.88/46.06 (define @t82 () (= @t81 @t80)) % 45.88/46.06 (define @t83 () (= @t75 @t82)) % 45.88/46.06 (define @t84 () (not @t83)) % 45.88/46.06 (define @t85 () (and @t58 @t51)) % 45.88/46.06 (define @t86 () (not @t85)) % 45.88/46.06 (define @t87 () (and @t58 @t67)) % 45.88/46.06 (define @t88 () (tptp.remove @t49 @t52)) % 45.88/46.06 (define @t89 () (tptp.in 0 @t88)) % 45.88/46.06 (define @t90 () (= @t87 @t89)) % 45.88/46.06 (define @t91 () (= @t89 @t85)) % 45.88/46.06 (define @t92 () (not @t91)) % 45.88/46.06 (define @t93 () (not @t89)) % 45.88/46.06 (define @t94 () (@list 0 @t88)) % 45.88/46.06 (define @t95 () (tptp.count @t88)) % 45.88/46.06 (define @t96 () (+ 1 @t95)) % 45.88/46.06 (define @t97 () (tptp.count (tptp.add 0 @t88))) % 45.88/46.06 (define @t98 () (= @t97 @t96)) % 45.88/46.06 (define @t99 () (= @t93 @t98)) % 45.88/46.06 (define @t100 () (not @t99)) % 45.88/46.06 (define @t101 () (@list @t49 @t52)) % 45.88/46.06 (define @t102 () (tptp.count @t52)) % 45.88/46.06 (define @t103 () (+ 1 @t102)) % 45.88/46.06 (define @t104 () (tptp.count @t53)) % 45.88/46.06 (define @t105 () (= @t104 @t103)) % 45.88/46.06 (define @t106 () (tptp.in @t49 @t52)) % 45.88/46.06 (define @t107 () (not @t106)) % 45.88/46.06 (define @t108 () (= @t107 @t105)) % 45.88/46.06 (define @t109 () (not @t108)) % 45.88/46.06 (define @t110 () (not @t107)) % 45.88/46.06 (define @t111 () (- @t102 @t95)) % 45.88/46.06 (define @t112 () (= @t102 @t95)) % 45.88/46.06 (define @t113 () (= @t95 @t102)) % 45.88/46.06 (define @t114 () (= @t107 @t113)) % 45.88/46.06 (define @t115 () (= @t107 @t112)) % 45.88/46.06 (define @t116 () (not @t115)) % 45.88/46.06 (define @t117 () (+ -1 @t30)) % 45.88/46.06 (define @t118 () (* -1 1)) % 45.88/46.06 (define @t119 () (+ @t30 @t118)) % 45.88/46.06 (define @t120 () (- @t104 @t80)) % 45.88/46.06 (define @t121 () (+ -1 @t104)) % 45.88/46.06 (define @t122 () (= @t104 @t80)) % 45.88/46.06 (define @t123 () (= @t79 @t121)) % 45.88/46.06 (define @t124 () (tptp.in @t49 @t53)) % 45.88/46.06 (define @t125 () (= @t124 @t123)) % 45.88/46.06 (define @t126 () (forall @t37 (= @t35 (= @t33 @t117)))) % 45.88/46.06 (define @t127 () (@list @t49 @t53)) % 45.88/46.06 (define @t128 () (= @t124 @t122)) % 45.88/46.06 (define @t129 () (@list @t126)) % 45.88/46.06 (define @t130 () (@list false false)) % 45.88/46.06 (define @t131 () (not @t112)) % 45.88/46.06 (define @t132 () (not @t122)) % 45.88/46.06 (define @t133 () (not @t98)) % 45.88/46.06 (define @t134 () (not @t82)) % 45.88/46.06 (define @t135 () (not @t105)) % 45.88/46.06 (define @t136 () (* -1 @t97)) % 45.88/46.06 (define @t137 () (+ @t81 @t136)) % 45.88/46.06 (define @t138 () (>= @t137 0)) % 45.88/46.06 (define @t139 () (not @t138)) % 45.88/46.06 (define @t140 () (not @t139)) % 45.88/46.06 (define @t141 () (* -1 @t95)) % 45.88/46.06 (define @t142 () (+ @t97 @t141)) % 45.88/46.06 (define @t143 () (= @t142 1)) % 45.88/46.06 (define @t144 () (not true)) % 45.88/46.06 (define @t145 () (>= 0 0)) % 45.88/46.06 (define @t146 () (* -1 0)) % 45.88/46.06 (define @t147 () (+ 1 @t118 1 @t118 0 @t146)) % 45.88/46.06 (define @t148 () (* -1 @t102)) % 45.88/46.06 (define @t149 () (= (+ 0 0 @t102 @t148 0 @t136 @t97 0) 0)) % 45.88/46.06 (define @t150 () (* 0 @t81)) % 45.88/46.06 (define @t151 () (= @t150 0)) % 45.88/46.06 (define @t152 () (* 0 @t104)) % 45.88/46.06 (define @t153 () (= @t152 0)) % 45.88/46.06 (define @t154 () (* 0 @t79)) % 45.88/46.06 (define @t155 () (= @t154 0)) % 45.88/46.06 (define @t156 () (* 0 @t95)) % 45.88/46.06 (define @t157 () (= @t156 0)) % 45.88/46.06 (define @t158 () (+ @t156 @t154 @t102 @t148 @t152 @t136 @t97 @t150)) % 45.88/46.06 (define @t159 () (+ @t102 @t141)) % 45.88/46.06 (define @t160 () (* -1 @t159)) % 45.88/46.06 (define @t161 () (+ @t104 @t148)) % 45.88/46.06 (define @t162 () (* -1 @t161)) % 45.88/46.06 (define @t163 () (* -1 @t79)) % 45.88/46.06 (define @t164 () (+ @t104 @t163)) % 45.88/46.06 (define @t165 () (+ @t81 @t163)) % 45.88/46.06 (define @t166 () (* -1 @t165)) % 45.88/46.06 (define @t167 () (+ @t142 @t166 @t164 @t162 @t137 @t160)) % 45.88/46.06 (define @t168 () (>= @t167 @t147)) % 45.88/46.06 (define @t169 () (= @t159 0)) % 45.88/46.06 (define @t170 () (= (* 1 (- @t159 0)) (* 1 @t111))) % 45.88/46.06 (define @t171 () (= @t169 @t112)) % 45.88/46.06 (define @t172 () (< -1 0)) % 45.88/46.06 (define @t173 () (= @t161 1)) % 45.88/46.06 (define @t174 () (= (* -1 (- @t161 1)) (* -1 (- @t104 @t103)))) % 45.88/46.06 (define @t175 () (= @t173 @t105)) % 45.88/46.06 (define @t176 () (= (* -1 (- @t164 1)) (* -1 @t120))) % 45.88/46.06 (define @t177 () (= @t164 1)) % 45.88/46.06 (define @t178 () (= @t177 @t122)) % 45.88/46.06 (define @t179 () (= @t165 1)) % 45.88/46.06 (define @t180 () (= (* -1 (- @t165 1)) (* -1 (- @t81 @t80)))) % 45.88/46.06 (define @t181 () (= @t179 @t82)) % 45.88/46.06 (define @t182 () (= (* -1 (- @t142 1)) (* -1 (- @t97 @t96)))) % 45.88/46.06 (define @t183 () (= @t143 @t98)) % 45.88/46.06 (define @t184 () (and @t112 @t139 @t105 @t122 @t82 @t98)) % 45.88/46.06 (define @t185 () (= @t104 @t102)) % 45.88/46.06 (define @t186 () (= @t106 @t185)) % 45.88/46.06 (define @t187 () (- @t102 @t96)) % 45.88/46.06 (define @t188 () (+ -1 @t102)) % 45.88/46.06 (define @t189 () (= @t102 @t96)) % 45.88/46.06 (define @t190 () (= @t95 @t188)) % 45.88/46.06 (define @t191 () (= @t106 @t190)) % 45.88/46.06 (define @t192 () (= @t106 @t189)) % 45.88/46.06 (define @t193 () (not @t189)) % 45.88/46.06 (define @t194 () (not @t185)) % 45.88/46.06 (define @t195 () (= @t81 @t97)) % 45.88/46.06 (define @t196 () (not @t195)) % 45.88/46.06 (define @t197 () (not @t196)) % 45.88/46.06 (define @t198 () (and @t196 @t82 @t98 @t185 @t122)) % 45.88/46.06 (define @t199 () (not @t54)) % 45.88/46.06 (define @t200 () (tptp.in @t49 @t69)) % 45.88/46.06 (define @t201 () (not @t200)) % 45.88/46.06 (define @t202 () (and @t201 @t57 @t70)) % 45.88/46.06 (define @t203 () (not @t51)) % 45.88/46.06 (define @t204 () (= @t97 @t95)) % 45.88/46.06 (define @t205 () (= @t89 @t204)) % 45.88/46.06 (define @t206 () (= @t81 @t79)) % 45.88/46.06 (define @t207 () (= @t70 @t206)) % 45.88/46.06 (define @t208 () (forall @t24 (= @t22 (= @t20 @t77)))) % 45.88/46.06 (define @t209 () (tptp.add @t49 @t88)) % 45.88/46.06 (define @t210 () (= @t52 @t209)) % 45.88/46.06 (define @t211 () (or @t107 @t210)) % 45.88/46.06 (define @t212 () (tptp.count @t209)) % 45.88/46.06 (define @t213 () (+ -1 @t212)) % 45.88/46.06 (define @t214 () (- @t95 @t213)) % 45.88/46.06 (define @t215 () (= @t95 @t213)) % 45.88/46.06 (define @t216 () (= @t212 @t96)) % 45.88/46.06 (define @t217 () (tptp.in @t49 @t88)) % 45.88/46.06 (define @t218 () (not @t217)) % 45.88/46.06 (define @t219 () (= @t218 @t216)) % 45.88/46.06 (define @t220 () (= @t218 @t215)) % 45.88/46.06 (define @t221 () (not @t220)) % 45.88/46.06 (define @t222 () (@list true false)) % 45.88/46.06 (define @t223 () (not @t215)) % 45.88/46.06 (define @t224 () (not @t210)) % 45.88/46.06 (define @t225 () (not @t204)) % 45.88/46.06 (define @t226 () (not @t206)) % 45.88/46.06 (define @t227 () (= @t104 @t212)) % 45.88/46.06 (define @t228 () (* -1 @t212)) % 45.88/46.06 (define @t229 () (+ @t104 @t228)) % 45.88/46.06 (define @t230 () (= @t229 0)) % 45.88/46.06 (define @t231 () (+ @t146 0 0 @t146 1 -1)) % 45.88/46.06 (define @t232 () (* 0 @t212)) % 45.88/46.06 (define @t233 () (+ @t232 @t141 @t154 @t95 @t152 @t136 @t97 @t150)) % 45.88/46.06 (define @t234 () (+ @t95 @t228)) % 45.88/46.06 (define @t235 () (+ (* -1 @t229) @t137 @t142 @t166 @t164 @t234)) % 45.88/46.06 (define @t236 () (>= @t235 @t231)) % 45.88/46.06 (define @t237 () (= @t165 0)) % 45.88/46.06 (define @t238 () (= (* 1 (- @t165 0)) (* 1 (- @t81 @t79)))) % 45.88/46.06 (define @t239 () (= @t237 @t206)) % 45.88/46.06 (define @t240 () (= (* 1 (- @t142 0)) (* 1 (- @t97 @t95)))) % 45.88/46.06 (define @t241 () (= @t142 0)) % 45.88/46.06 (define @t242 () (= @t241 @t204)) % 45.88/46.06 (define @t243 () (and @t215 @t122 @t206 @t204 @t139 @t227)) % 45.88/46.06 (define @t244 () (+ @t146 @t146 1 @t118 0 0)) % 45.88/46.06 (define @t245 () (+ @t160 @t166 @t164 @t162 @t137 @t142)) % 45.88/46.06 (define @t246 () (>= @t245 @t244)) % 45.88/46.06 (define @t247 () (and @t204 @t139 @t105 @t122 @t206 @t112)) % 45.88/46.06 (define @t248 () (>= @t137 1)) % 45.88/46.06 (define @t249 () (not @t248)) % 45.88/46.06 (define @t250 () (= @t137 0)) % 45.88/46.06 (define @t251 () (and @t196 @t249)) % 45.88/46.06 (define @t252 () (>= @t159 1)) % 45.88/46.06 (define @t253 () (<= 0 -1)) % 45.88/46.06 (define @t254 () (+ -1 0)) % 45.88/46.06 (define @t255 () (+ @t118 0)) % 45.88/46.06 (define @t256 () (+ 0 0)) % 45.88/46.06 (define @t257 () (* 0 @t102)) % 45.88/46.06 (define @t258 () (= @t257 0)) % 45.88/46.06 (define @t259 () (+ @t156 @t257)) % 45.88/46.06 (define @t260 () (+ @t160 @t159)) % 45.88/46.06 (define @t261 () (not @t252)) % 45.88/46.06 (define @t262 () (< @t159 1)) % 45.88/46.06 (define @t263 () (+ 1 0 @t118 @t118 1 @t146)) % 45.88/46.06 (define @t264 () (= (+ 0 0 @t148 @t102 0 @t97 @t136 0) 0)) % 45.88/46.06 (define @t265 () (+ @t156 @t154 @t148 @t102 @t152 @t97 @t136 @t150)) % 45.88/46.06 (define @t266 () (* -1 @t142)) % 45.88/46.06 (define @t267 () (* -1 @t164)) % 45.88/46.06 (define @t268 () (* -1 @t137)) % 45.88/46.06 (define @t269 () (+ @t159 @t165 @t268 @t267 @t161 @t266)) % 45.88/46.06 (define @t270 () (>= @t269 @t263)) % 45.88/46.06 (define @t271 () (and @t204 @t105 @t122 @t248 @t206 @t261)) % 45.88/46.06 (define @t272 () (>= @t165 2)) % 45.88/46.06 (define @t273 () (not @t272)) % 45.88/46.06 (define @t274 () (+ 2 @t118 0 @t118 1 @t118)) % 45.88/46.06 (define @t275 () (+ @t165 @t268 @t159 @t267 @t161 @t266)) % 45.88/46.06 (define @t276 () (>= @t275 @t274)) % 45.88/46.06 (define @t277 () (* -1 @t104)) % 45.88/46.06 (define @t278 () (+ @t81 @t277)) % 45.88/46.06 (define @t279 () (>= @t278 1)) % 45.88/46.06 (define @t280 () (not @t279)) % 45.88/46.06 (define @t281 () (+ 1 @t118 1 0 @t118)) % 45.88/46.06 (define @t282 () (= (+ @t277 0 @t148 @t102 @t104 @t97 @t136 0) 0)) % 45.88/46.06 (define @t283 () (+ @t277 @t156 @t148 @t102 @t104 @t97 @t136 @t150)) % 45.88/46.06 (define @t284 () (+ @t278 @t266 @t161 @t159 @t268)) % 45.88/46.06 (define @t285 () (>= @t284 @t281)) % 45.88/46.06 (define @t286 () (>= @t278 0)) % 45.88/46.06 (define @t287 () (>= @t81 @t104)) % 45.88/46.06 (define @t288 () (+ @t104 1)) % 45.88/46.06 (define @t289 () (>= @t81 @t288)) % 45.88/46.06 (define @t290 () (<= @t81 @t104)) % 45.88/46.06 (define @t291 () (not @t287)) % 45.88/46.06 (define @t292 () (not @t290)) % 45.88/46.06 (define @t293 () (+ @t277 @t104)) % 45.88/46.06 (define @t294 () (+ (* -1 @t81) @t81)) % 45.88/46.06 (define @t295 () (>= @t294 @t293)) % 45.88/46.06 (define @t296 () (+ @t146 0 @t118)) % 45.88/46.06 (define @t297 () (+ @t104 @t154 @t277 @t150)) % 45.88/46.06 (define @t298 () (+ (* -1 @t278) @t165 @t267)) % 45.88/46.06 (define @t299 () (* -1 2)) % 45.88/46.06 (define @t300 () (+ 1 @t299)) % 45.88/46.06 (define @t301 () (+ @t154 @t150)) % 45.88/46.06 (define @t302 () (+ @t165 @t166)) % 45.88/46.06 (define @t303 () (>= @t161 1)) % 45.88/46.06 (define @t304 () (+ @t257 @t152)) % 45.88/46.06 (define @t305 () (+ @t162 @t161)) % 45.88/46.06 (define @t306 () (not @t303)) % 45.88/46.06 (define @t307 () (@list @t85)) % 45.88/46.06 (define @t308 () (not @t286)) % 45.88/46.06 (define @t309 () (+ -1 1)) % 45.88/46.06 (define @t310 () (>= @t278 @t309)) % 45.88/46.06 (define @t311 () (<= @t278 -1)) % 45.88/46.06 (define @t312 () (+ -1 1 1 @t118 @t146)) % 45.88/46.06 (define @t313 () (+ @t278 @t161 @t159 @t268 @t266)) % 45.88/46.06 (define @t314 () (>= @t313 @t312)) % 45.88/46.06 (define @t315 () (and @t204 @t248 @t189 @t306 @t308)) % 45.88/46.06 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.88/46.06 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 45.88/46.06 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 45.88/46.06 (assume @p4 @t9) % 45.88/46.06 (assume @p5 @t13) % 45.88/46.06 (assume @p6 (forall (@list @t14) (>= (tptp.count @t14) 0))) % 45.88/46.06 (assume @p7 (forall (@list @t15) (= (= @t15 tptp.empty) (= (tptp.count @t15) 0)))) % 45.88/46.06 (assume @p8 @t25) % 45.88/46.06 (assume @p9 @t28) % 45.88/46.06 (assume @p10 @t38) % 45.88/46.06 (assume @p11 @t41) % 45.88/46.06 (assume @p12 @t46) % 45.88/46.06 (assume @p13 (not @t48)) % 45.88/46.06 (assume @p14 true) % 45.88/46.06 (step @p15 :rule cnf_and_pos :args (@t55 0)) % 45.88/46.06 (step @p16 :rule reordering :premises (@p15) :args ((or @t54 @t56))) % 45.88/46.06 (step @p17 :rule arith_poly_norm :args ((= (* 1 (- 0 @t49)) (* -1 (- @t49 0))))) % 45.88/46.06 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= @t57 @t50))) % 45.88/46.06 (step @p19 :rule refl :args (@t58)) % 45.88/46.06 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t59)) % 45.88/46.06 (step @p21 :rule refl :args (@t54)) % 45.88/46.06 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t54 @t59))) % 45.88/46.06 (step @p23 :rule eq-symm :args (@t59 @t54)) % 45.88/46.06 (step @p24 :rule trans :premises (@p23 @p22)) % 45.88/46.06 (step @p25 :rule refl :args (@t9)) % 45.88/46.06 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t9 @t60))) % 45.88/46.06 (assume-push @p1037 @t9) % 45.88/46.06 (step @p28 :rule instantiate :premises (@p4) :args (@t61)) % 45.88/46.06 (step-pop @p1038 :rule scope :premises (@p28)) % 45.88/46.06 (step @p29 :rule process_scope :premises (@p1038) :args (@t60)) % 45.88/46.06 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 45.88/46.06 (step @p32 :rule implies_elim :premises (@p31)) % 45.88/46.06 (step @p33 :rule chain_m_resolution :premises (@p32 @p4) :args (@t63 @t64 (@list @t9))) % 45.88/46.06 (step @p34 :rule cnf_equiv_pos2 :args (@t63)) % 45.88/46.06 (step @p35 :rule reordering :premises (@p34) :args ((or @t54 @t66 @t65))) % 45.88/46.06 (step @p36 :rule cong :premises (@p18) :args (@t67)) % 45.88/46.06 (step @p37 :rule nary_cong :premises (@p21 @p36) :args (@t68)) % 45.88/46.06 (step @p38 :rule refl :args (@t70)) % 45.88/46.06 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t70 @t68))) % 45.88/46.06 (step @p40 :rule eq-symm :args (@t68 @t70)) % 45.88/46.06 (step @p41 :rule trans :premises (@p40 @p39)) % 45.88/46.06 (step @p42 :rule refl :args (@t13)) % 45.88/46.06 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t13 @t71))) % 45.88/46.06 (assume-push @p1039 @t13) % 45.88/46.06 (step @p45 :rule instantiate :premises (@p5) :args ((@list 0 @t53 @t49))) % 45.88/46.06 (step-pop @p1040 :rule scope :premises (@p45)) % 45.88/46.06 (step @p46 :rule process_scope :premises (@p1040) :args (@t71)) % 45.88/46.06 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 45.88/46.06 (step @p49 :rule implies_elim :premises (@p48)) % 45.88/46.06 (step @p50 :rule chain_m_resolution :premises (@p49 @p5) :args (@t72 @t64 @t73)) % 45.88/46.06 (step @p51 :rule cnf_equiv_pos1 :args (@t72)) % 45.88/46.06 (step @p52 :rule reordering :premises (@p51) :args ((or @t75 @t55 @t74))) % 45.88/46.06 (step @p53 :rule cnf_or_neg :args (@t62 0)) % 45.88/46.06 (step @p54 :rule reordering :premises (@p53) :args ((or @t76 @t62))) % 45.88/46.06 (step @p55 :rule arith_poly_norm :args ((= @t18 @t77))) % 45.88/46.06 (step @p56 :rule refl :args (@t20)) % 45.88/46.06 (step @p57 :rule cong :premises (@p56 @p55) :args (@t21)) % 45.88/46.06 (step @p58 :rule refl :args (@t22)) % 45.88/46.06 (step @p59 :rule cong :premises (@p58 @p57) :args (@t23)) % 45.88/46.06 (step @p60 :rule cong :premises (@p59) :args (@t25)) % 45.88/46.07 (step @p61 :rule eq_resolve :premises (@p8 @p60)) % 45.88/46.07 (step @p62 :rule instantiate :premises (@p61) :args (@t78)) % 45.88/46.07 (step @p63 :rule refl :args (@t82)) % 45.88/46.07 (step @p64 :rule bool-double-not-elim :args (@t70)) % 45.88/46.07 (step @p65 :rule refl :args (@t84)) % 45.88/46.07 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args ((or @t84 (not @t75) @t82))) % 45.88/46.07 (step @p67 :rule cnf_equiv_pos1 :args (@t83)) % 45.88/46.07 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 45.88/46.07 (step @p69 :rule reordering :premises (@p68) :args ((or @t70 @t82 @t84))) % 45.88/46.07 (step @p70 :rule cnf_and_pos :args (@t85 0)) % 45.88/46.07 (step @p71 :rule reordering :premises (@p70) :args ((or @t58 @t86))) % 45.88/46.07 (step @p72 :rule nary_cong :premises (@p19 @p36) :args (@t87)) % 45.88/46.07 (step @p73 :rule refl :args (@t89)) % 45.88/46.07 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t89 @t87))) % 45.88/46.07 (step @p75 :rule eq-symm :args (@t87 @t89)) % 45.88/46.07 (step @p76 :rule trans :premises (@p75 @p74)) % 45.88/46.07 (step @p77 :rule cong :premises (@p42 @p76) :args ((=> @t13 @t90))) % 45.88/46.07 (assume-push @p1041 @t13) % 45.88/46.07 (step @p79 :rule instantiate :premises (@p5) :args (@t61)) % 45.88/46.07 (step-pop @p1042 :rule scope :premises (@p79)) % 45.88/46.07 (step @p80 :rule process_scope :premises (@p1042) :args (@t90)) % 45.88/46.07 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 45.88/46.07 (step @p83 :rule implies_elim :premises (@p82)) % 45.88/46.07 (step @p84 :rule chain_m_resolution :premises (@p83 @p5) :args (@t91 @t64 @t73)) % 45.88/46.07 (step @p85 :rule cnf_equiv_pos1 :args (@t91)) % 45.88/46.07 (step @p86 :rule reordering :premises (@p85) :args ((or @t93 @t85 @t92))) % 45.88/46.07 (step @p87 :rule instantiate :premises (@p61) :args (@t94)) % 45.88/46.07 (step @p88 :rule refl :args (@t98)) % 45.88/46.07 (step @p89 :rule bool-double-not-elim :args (@t89)) % 45.88/46.07 (step @p90 :rule refl :args (@t100)) % 45.88/46.07 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or @t100 (not @t93) @t98))) % 45.88/46.07 (step @p92 :rule cnf_equiv_pos1 :args (@t99)) % 45.88/46.07 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 45.88/46.07 (step @p94 :rule reordering :premises (@p93) :args ((or @t89 @t98 @t100))) % 45.88/46.07 (step @p95 :rule instantiate :premises (@p61) :args (@t101)) % 45.88/46.07 (step @p96 :rule refl :args (@t105)) % 45.88/46.07 (step @p97 :rule bool-double-not-elim :args (@t106)) % 45.88/46.07 (step @p98 :rule refl :args (@t109)) % 45.88/46.07 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args ((or @t109 @t110 @t105))) % 45.88/46.07 (step @p100 :rule cnf_equiv_pos1 :args (@t108)) % 45.88/46.07 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 45.88/46.07 (step @p102 :rule reordering :premises (@p101) :args ((or @t106 @t105 @t109))) % 45.88/46.07 (step @p103 :rule arith_poly_norm :args ((= (* 1 (- @t95 @t102)) (* -1 @t111)))) % 45.88/46.07 (step @p104 :rule arith_poly_norm_rel :premises (@p103) :args ((= @t113 @t112))) % 45.88/46.07 (step @p105 :rule refl :args (@t107)) % 45.88/46.07 (step @p106 :rule cong :premises (@p105 @p104) :args (@t114)) % 45.88/46.07 (step @p107 :rule refl :args (@t41)) % 45.88/46.07 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t41 @t114))) % 45.88/46.07 (assume-push @p1043 @t41) % 45.88/46.07 (step @p110 :rule instantiate :premises (@p11) :args (@t101)) % 45.88/46.07 (step-pop @p1044 :rule scope :premises (@p110)) % 45.88/46.07 (step @p111 :rule process_scope :premises (@p1044) :args (@t114)) % 45.88/46.07 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 45.88/46.07 (step @p114 :rule implies_elim :premises (@p113)) % 45.88/46.07 (step @p115 :rule chain_m_resolution :premises (@p114 @p11) :args (@t115 @t64 (@list @t41))) % 45.88/46.07 (step @p116 :rule refl :args (@t112)) % 45.88/46.07 (step @p117 :rule refl :args (@t116)) % 45.88/46.07 (step @p118 :rule nary_cong :premises (@p117 @p97 @p116) :args ((or @t116 @t110 @t112))) % 45.88/46.07 (step @p119 :rule cnf_equiv_pos1 :args (@t115)) % 45.88/46.07 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 45.88/46.07 (step @p121 :rule reordering :premises (@p120) :args ((or @t106 @t112 @t116))) % 45.88/46.07 (step @p122 :rule arith_poly_norm :args ((= (+ @t30 -1) @t117))) % 45.88/46.07 (step @p123 :rule evaluate :args (@t118)) % 45.88/46.07 (step @p124 :rule refl :args (@t30)) % 45.88/46.07 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t119)) % 45.88/46.07 (step @p126 :rule trans :premises (@p125 @p122)) % 45.88/46.07 (step @p127 :rule arith_poly_norm :args ((= @t31 @t119))) % 45.88/46.07 (step @p128 :rule trans :premises (@p127 @p126)) % 45.88/46.07 (step @p129 :rule refl :args (@t33)) % 45.88/46.07 (step @p130 :rule cong :premises (@p129 @p128) :args (@t34)) % 45.88/46.07 (step @p131 :rule refl :args (@t35)) % 45.88/46.07 (step @p132 :rule cong :premises (@p131 @p130) :args (@t36)) % 45.88/46.07 (step @p133 :rule cong :premises (@p132) :args (@t38)) % 45.88/46.07 (step @p134 :rule eq_resolve :premises (@p10 @p133)) % 45.88/46.07 (step @p135 :rule arith_poly_norm :args ((= (* -1 (- @t79 @t121)) (* 1 @t120)))) % 45.88/46.07 (step @p136 :rule arith_poly_norm_rel :premises (@p135) :args ((= @t123 @t122))) % 45.88/46.07 (step @p137 :rule refl :args (@t124)) % 45.88/46.07 (step @p138 :rule cong :premises (@p137 @p136) :args (@t125)) % 45.88/46.07 (step @p139 :rule refl :args (@t126)) % 45.88/46.07 (step @p140 :rule cong :premises (@p139 @p138) :args ((=> @t126 @t125))) % 45.88/46.07 (assume-push @p1045 @t126) % 45.88/46.07 (step @p142 :rule instantiate :premises (@p134) :args (@t127)) % 45.88/46.07 (step-pop @p1046 :rule scope :premises (@p142)) % 45.88/46.07 (step @p143 :rule process_scope :premises (@p1046) :args (@t125)) % 45.88/46.07 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 45.88/46.07 (step @p146 :rule implies_elim :premises (@p145)) % 45.88/46.07 (step @p147 :rule chain_m_resolution :premises (@p146 @p134) :args (@t128 @t64 @t129)) % 45.88/46.07 (step @p148 :rule instantiate :premises (@p2) :args (@t101)) % 45.88/46.07 (step @p149 :rule cnf_equiv_pos1 :args (@t128)) % 45.88/46.07 (step @p150 :rule reordering :premises (@p149) :args ((or @t122 (not @t124) (not @t128)))) % 45.88/46.07 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p147) :args (@t122 @t130 (@list @t124 @t128))) % 45.88/46.07 (step @p152 :rule refl :args (@t131)) % 45.88/46.07 (step @p153 :rule refl :args (@t132)) % 45.88/46.07 (step @p154 :rule refl :args (@t133)) % 45.88/46.07 (step @p155 :rule refl :args (@t134)) % 45.88/46.07 (step @p156 :rule refl :args (@t135)) % 45.88/46.07 (step @p157 :rule bool-double-not-elim :args (@t138)) % 45.88/46.07 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154 @p153 @p152) :args ((or @t140 @t135 @t134 @t133 @t132 @t131))) % 45.88/46.07 (assume-push @p1047 @t112) % 45.88/46.07 (assume-push @p1048 @t139) % 45.88/46.07 (assume-push @p1049 @t105) % 45.88/46.07 (assume-push @p1050 @t122) % 45.88/46.07 (assume-push @p1051 @t82) % 45.88/46.07 (assume-push @p1052 @t98) % 45.88/46.07 (assume-push @p1053 @t143) % 45.88/46.07 (step @p166 :rule evaluate :args (@t144)) % 45.88/46.07 (step @p167 :rule evaluate :args (@t145)) % 45.88/46.07 (step @p168 :rule evaluate :args ((+ 1 -1 1 -1 0 0))) % 45.88/46.07 (step @p169 :rule evaluate :args (@t146)) % 45.88/46.07 (step @p170 :rule refl :args (0)) % 45.88/46.07 (step @p171 :rule refl :args (1)) % 45.88/46.07 (step @p172 :rule nary_cong :premises (@p171 @p123 @p171 @p123 @p170 @p169) :args (@t147)) % 45.88/46.07 (step @p173 :rule trans :premises (@p172 @p168)) % 45.88/46.07 (step @p174 :rule arith_poly_norm :args (@t149)) % 45.88/46.07 (step @p175 :rule arith_poly_norm :args (@t151)) % 45.88/46.07 (step @p176 :rule refl :args (@t97)) % 45.88/46.07 (step @p177 :rule refl :args (@t136)) % 45.88/46.07 (step @p178 :rule arith_poly_norm :args (@t153)) % 45.88/46.07 (step @p179 :rule refl :args (@t148)) % 45.88/46.07 (step @p180 :rule refl :args (@t102)) % 45.88/46.07 (step @p181 :rule arith_poly_norm :args (@t155)) % 45.88/46.07 (step @p182 :rule arith_poly_norm :args (@t157)) % 45.88/46.07 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175) :args (@t158)) % 45.88/46.07 (step @p184 :rule trans :premises (@p183 @p174)) % 45.88/46.07 (step @p185 :rule arith_poly_norm :args ((= @t167 @t158))) % 45.88/46.07 (step @p186 :rule trans :premises (@p185 @p184)) % 45.88/46.07 (step @p187 :rule cong :premises 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:premises (@p925) :args ((= (= @t161 0) @t185))) % 45.88/46.07 (step @p927 :rule symm :premises (@p926)) % 45.88/46.07 (step @p928 :rule eq_resolve :premises (@p1253 @p927)) % 45.88/46.07 (step @p929 :rule arith_mult_neg :args (-1 @t303)) % 45.88/46.07 (step @p198 :rule evaluate :args (@t172)) % 45.88/46.07 (step @p199 :rule true_elim :premises (@p198)) % 45.88/46.07 (step @p930 :rule and_intro :premises (@p199 @p1255)) % 45.88/46.07 (step @p931 :rule modus_ponens :premises (@p930 @p929)) % 45.88/46.07 (step @p932 :rule arith_sum_ub :premises (@p931 @p928)) % 45.88/46.07 (step @p933 false :rule eq_resolve :premises (@p932 @p924)) % 45.88/46.07 (step-pop @p1256 :rule scope :premises (@p933)) % 45.88/46.07 (step @p934 :rule process_scope :premises (@p1256) :args (false)) % 45.88/46.07 (step @p936 :rule eq_resolve :premises (@p934 @p917)) % 45.88/46.07 (step @p937 :rule eq_resolve :premises (@p936 @p916)) % 45.88/46.07 (step-pop @p1257 :rule scope :premises (@p937)) % 45.88/46.07 (step @p938 :rule process_scope :premises (@p1257) :args (@t306)) % 45.88/46.07 (step @p940 :rule modus_ponens :premises (@p1253 @p938)) % 45.88/46.07 (step-pop @p1258 :rule scope :premises (@p940)) % 45.88/46.07 (step @p941 :rule process_scope :premises (@p1258) :args (@t306)) % 45.88/46.07 (step @p943 :rule implies_elim :premises (@p941)) % 45.88/46.07 (step @p944 :rule chain_m_resolution :premises (@p943 @p913) :args (@t306 @t64 (@list @t185))) % 45.88/46.07 (step @p945 :rule chain_m_resolution :premises (@p319 @p33 @p370 @p16 @p368 @p52 @p50 @p361 @p325 @p69 @p62 @p323 @p84 @p316 @p913 @p912 @p151 @p275 @p321 @p87) :args (@t133 (@list false true false true false false true true false false true false true false false false true true false) (@list @t63 @t62 @t54 @t58 @t55 @t72 @t50 @t200 @t70 @t83 @t85 @t91 @t82 @t185 @t189 @t122 @t195 @t89 @t99))) % 45.88/46.07 (step @p946 :rule chain_m_resolution :premises (@p94 @p945 @p87) :args (@t89 @t222 (@list @t98 @t99))) % 45.88/46.07 (step @p947 :rule chain_m_resolution :premises (@p374 @p946 @p372) :args (@t204 @t130 (@list @t89 @t205))) % 45.88/46.07 (step @p948 :rule chain_m_resolution :premises (@p86 @p946 @p84) :args (@t85 @t130 (@list @t89 @t91))) % 45.88/46.07 (step @p949 :rule chain_m_resolution :premises (@p71 @p948) :args (@t58 @t64 @t307)) % 45.88/46.07 (step @p950 :rule chain_m_resolution :premises (@p54 @p949) :args (@t62 @t64 (@list @t58))) % 45.88/46.07 (step @p951 :rule chain_m_resolution :premises (@p35 @p950 @p33) :args (@t54 @t130 (@list @t62 @t63))) % 45.88/46.07 (step @p952 :rule chain_m_resolution :premises (@p376 @p948) :args (@t51 @t64 @t307)) % 45.88/46.07 (step @p953 :rule chain_m_resolution :premises (@p382 @p952 @p951) :args (@t55 @t222 (@list @t50 @t54))) % 45.88/46.07 (step @p954 :rule chain_m_resolution :premises (@p384 @p953 @p50) :args (@t70 @t130 (@list @t55 @t72))) % 45.88/46.07 (step @p955 :rule chain_m_resolution :premises (@p387 @p954 @p385) :args (@t206 @t130 (@list @t70 @t207))) % 45.88/46.07 (step @p956 :rule chain_m_resolution :premises (@p884 @p955 @p151) :args (@t308 @t130 (@list @t206 @t122))) % 45.88/46.07 (step @p957 :rule bool-double-not-elim :args (@t303)) % 45.88/46.07 (step @p958 :rule bool-double-not-elim :args (@t286)) % 45.88/46.07 (step @p959 :rule nary_cong :premises (@p649 @p430 @p276 @p958 @p957) :args ((or @t249 @t225 @t193 (not @t308) (not @t306)))) % 45.88/46.07 (assume-push @p1259 @t204) % 45.88/46.07 (assume-push @p1260 @t248) % 45.88/46.07 (assume-push @p1261 @t189) % 45.88/46.07 (assume-push @p1262 @t306) % 45.88/46.07 (assume-push @p1263 @t308) % 45.88/46.07 (step @p965 :rule arith-elim-leq :args (@t278 -1)) % 45.88/46.07 (step @p966 :rule symm :premises (@p965)) % 45.88/46.07 (step @p967 :rule cong :premises (@p966) :args ((not (>= -1 @t278)))) % 45.88/46.07 (step @p968 :rule arith-elim-gt :args (@t278 -1)) % 45.88/46.07 (step @p969 :rule trans :premises (@p968 @p967)) % 45.88/46.07 (step @p970 :rule evaluate :args (@t309)) % 45.88/46.07 (step @p971 :rule refl :args (@t278)) % 45.88/46.07 (step @p972 :rule cong :premises (@p971 @p970) :args (@t310)) % 45.88/46.07 (step @p973 :rule cong :premises (@p972) :args ((not @t310))) % 45.88/46.07 (step @p974 :rule arith-leq-norm :args (@t278 -1)) % 45.88/46.07 (step @p975 :rule trans :premises (@p974 @p973)) % 45.88/46.07 (step @p976 :rule cong :premises (@p975) :args ((not @t311))) % 45.88/46.07 (step @p977 :rule trans :premises (@p976 @p958)) % 45.88/46.07 (step @p978 :rule trans :premises (@p969 @p977)) % 45.88/46.07 (step @p979 :rule symm :premises (@p978)) % 45.88/46.07 (step @p980 :rule trans :premises (@p977 @p979)) % 45.88/46.07 (assume-push @p1264 @t311) % 45.88/46.07 (step @p166 :rule evaluate :args (@t144)) % 45.88/46.07 (step @p167 :rule evaluate :args (@t145)) % 45.88/46.07 (step @p982 :rule evaluate :args ((+ -1 1 1 -1 0))) % 45.88/46.07 (step @p169 :rule evaluate :args (@t146)) % 45.88/46.07 (step @p171 :rule refl :args (1)) % 45.88/46.07 (step @p441 :rule refl :args (-1)) % 45.88/46.07 (step @p983 :rule nary_cong :premises (@p441 @p171 @p171 @p123 @p169) :args (@t312)) % 45.88/46.07 (step @p984 :rule trans :premises (@p983 @p982)) % 45.88/46.07 (step @p774 :rule arith_poly_norm :args (@t282)) % 45.88/46.07 (step @p175 :rule arith_poly_norm :args (@t151)) % 45.88/46.07 (step @p177 :rule refl :args (@t136)) % 45.88/46.07 (step @p176 :rule refl :args (@t97)) % 45.88/46.07 (step @p775 :rule refl :args (@t104)) % 45.88/46.07 (step @p180 :rule refl :args (@t102)) % 45.88/46.07 (step @p179 :rule refl :args (@t148)) % 45.88/46.07 (step @p182 :rule arith_poly_norm :args (@t157)) % 45.88/46.07 (step @p776 :rule refl :args (@t277)) % 45.88/46.07 (step @p777 :rule nary_cong :premises (@p776 @p182 @p179 @p180 @p775 @p176 @p177 @p175) :args (@t283)) % 45.88/46.07 (step @p778 :rule trans :premises (@p777 @p774)) % 45.88/46.07 (step @p985 :rule arith_poly_norm :args ((= @t313 @t283))) % 45.88/46.07 (step @p986 :rule trans :premises (@p985 @p778)) % 45.88/46.07 (step @p987 :rule cong :premises (@p986 @p984) :args (@t314)) % 45.88/46.07 (step @p988 :rule trans :premises (@p987 @p167)) % 45.88/46.07 (step @p989 :rule cong :premises (@p988) :args ((not @t314))) % 45.88/46.07 (step @p990 :rule trans :premises (@p989 @p166)) % 45.88/46.07 (step @p991 :rule arith-elim-lt :args (@t313 @t312)) % 45.88/46.07 (step @p992 :rule trans :premises (@p991 @p990)) % 45.88/46.07 (step @p675 :rule arith_mult_neg :args (-1 @t241)) % 45.88/46.07 (step @p469 :rule arith_poly_norm :args (@t240)) % 45.88/46.07 (step @p470 :rule arith_poly_norm_rel :premises (@p469) :args (@t242)) % 45.88/46.07 (step @p471 :rule symm :premises (@p470)) % 45.88/46.07 (step @p993 :rule eq_resolve :premises (@p1259 @p471)) % 45.88/46.07 (step @p198 :rule evaluate :args (@t172)) % 45.88/46.07 (step @p199 :rule true_elim :premises (@p198)) % 45.88/46.07 (step @p994 :rule and_intro :premises (@p199 @p993)) % 45.88/46.07 (step @p995 :rule modus_ponens :premises (@p994 @p675)) % 45.88/46.07 (step @p683 :rule arith_mult_neg :args (-1 @t248)) % 45.88/46.07 (step @p996 :rule and_intro :premises (@p199 @p1260)) % 45.88/46.07 (step @p997 :rule modus_ponens :premises (@p996 @p683)) % 45.88/46.07 (step @p998 :rule arith_poly_norm :args ((= (* -1 (- @t159 1)) (* -1 @t187)))) % 45.88/46.07 (step @p999 :rule arith_poly_norm_rel :premises (@p998) :args ((= (= @t159 1) @t189))) % 45.88/46.07 (step @p1000 :rule symm :premises (@p999)) % 45.88/46.07 (step @p1001 :rule eq_resolve :premises (@p1261 @p1000)) % 45.88/46.07 (step @p916 :rule arith-elim-lt :args (@t161 1)) % 45.88/46.07 (step @p917 :rule symm :premises (@p916)) % 45.88/46.07 (step @p1002 :rule eq_resolve :premises (@p1262 @p917)) % 45.88/46.07 (step @p1003 :rule arith_sum_ub :premises (@p1264 @p1002 @p1001 @p997 @p995)) % 45.88/46.07 (step @p1004 false :rule eq_resolve :premises (@p1003 @p992)) % 45.88/46.07 (step-pop @p1265 :rule scope :premises (@p1004)) % 45.88/46.07 (step @p1005 :rule process_scope :premises (@p1265) :args (false)) % 45.88/46.07 (step @p1007 :rule eq_resolve :premises (@p1005 @p980)) % 45.88/46.07 (step @p1008 :rule eq_resolve :premises (@p1007 @p969)) % 45.88/46.07 (step @p1009 :rule arith-elim-lt :args (@t278 0)) % 45.88/46.07 (step @p1010 :rule symm :premises (@p1009)) % 45.88/46.07 (step @p1011 :rule eq_resolve :premises (@p1263 @p1010)) % 45.88/46.07 (step @p1012 :rule int_tight_ub :premises (@p1011)) % 45.88/46.07 (step @p1013 false :rule contra :premises (@p1012 @p1008)) % 45.88/46.07 (step-pop @p1266 :rule scope :premises (@p1013)) % 45.88/46.07 (step-pop @p1267 :rule scope :premises (@p1266)) % 45.88/46.07 (step-pop @p1268 :rule scope :premises (@p1267)) % 45.88/46.07 (step-pop @p1269 :rule scope :premises (@p1268)) % 45.88/46.07 (step-pop @p1270 :rule scope :premises (@p1269)) % 45.88/46.07 (step @p1014 :rule process_scope :premises (@p1270) :args (false)) % 45.88/46.07 (assume-push @p1271 @t248) % 45.88/46.07 (assume-push @p1272 @t204) % 45.88/46.07 (assume-push @p1273 @t189) % 45.88/46.07 (assume-push @p1274 @t308) % 45.88/46.07 (assume-push @p1275 @t306) % 45.88/46.07 (step @p1025 :rule and_intro :premises (@p1272 @p1271 @p1273 @p1275 @p1274)) % 45.88/46.07 (step-pop @p1276 :rule scope :premises (@p1025)) % 45.88/46.07 (step-pop @p1277 :rule scope :premises (@p1276)) % 45.88/46.07 (step-pop @p1278 :rule scope :premises (@p1277)) % 45.88/46.07 (step-pop @p1279 :rule scope :premises (@p1278)) % 45.88/46.07 (step-pop @p1280 :rule scope :premises (@p1279)) % 45.88/46.07 (step @p1026 :rule process_scope :premises (@p1280) :args (@t315)) % 45.88/46.07 (step @p1032 :rule implies_elim :premises (@p1026)) % 45.88/46.07 (step @p1033 :rule resolution :premises (@p1032 @p1014) :args (true @t315)) % 45.88/46.07 (step @p1034 :rule not_and :premises (@p1033)) % 45.88/46.07 (step @p1035 :rule eq_resolve :premises (@p1034 @p959)) % 45.88/46.07 (step @p1036 false :rule chain_m_resolution :premises (@p1035 @p956 @p947 @p944 @p912 @p614) :args (false (@list true false true false false) (@list @t286 @t204 @t303 @t189 @t248))) % 45.88/46.07 ) % 45.88/46.07 % SZS output end Proof % 45.88/46.07 % cvc5 exiting %------------------------------------------------------------------------------