%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC442_1 : TPTP v9.2.1. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:59:17 AM UTC 2026 % Result : Theorem 60.27s 60.59s % Output : Proof 60.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC442_1 : TPTP v9.2.1. Released v9.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 14:47:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.33 %----Proving TF0_ARI % 60.27/60.59 --- Run --finite-model-find --decision=internal at 45... % 60.27/60.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.27/60.59 --- Run --no-e-matching --full-saturate-quant at 45... % 60.27/60.59 % SZS status Theorem % 60.27/60.59 % SZS output start Proof % 60.27/60.59 ( % 60.27/60.59 (declare-const tptp.fast (-> Int Int)) % 60.27/60.59 (declare-const tptp.small (-> Int Int)) % 60.27/60.59 (declare-const |tptp.'div:(Int*Int)>Int'| (-> Int Int Int)) % 60.27/60.59 (declare-const tptp.v0 Int) % 60.27/60.59 (declare-const tptp.u0 (-> Int Int Int)) % 60.27/60.59 (declare-const tptp.h0 Int) % 60.27/60.59 (declare-const tptp.g0 Int) % 60.27/60.59 (declare-const tptp.f0 (-> Int Int)) % 60.27/60.59 (define @t1 () (@var "X" Int)) % 60.27/60.59 (define @t2 () (* @t1 @t1)) % 60.27/60.59 (define @t3 () (tptp.f0 @t1)) % 60.27/60.59 (define @t4 () (= @t3 @t2)) % 60.27/60.59 (define @t5 () (@list @t1)) % 60.27/60.59 (define @t6 () (forall @t5 @t4)) % 60.27/60.59 (define @t7 () (@var "Y" Int)) % 60.27/60.59 (define @t8 () (- @t1 1)) % 60.27/60.59 (define @t9 () (tptp.u0 @t8 @t7)) % 60.27/60.59 (define @t10 () (tptp.f0 @t9)) % 60.27/60.59 (define @t11 () (tptp.u0 @t1 @t7)) % 60.27/60.59 (define @t12 () (= @t11 @t10)) % 60.27/60.59 (define @t13 () (<= @t1 0)) % 60.27/60.59 (define @t14 () (not @t13)) % 60.27/60.59 (define @t15 () (=> @t14 @t12)) % 60.27/60.59 (define @t16 () (= @t11 @t7)) % 60.27/60.59 (define @t17 () (=> @t13 @t16)) % 60.27/60.59 (define @t18 () (and @t17 @t15)) % 60.27/60.59 (define @t19 () (@list @t1 @t7)) % 60.27/60.59 (define @t20 () (forall @t19 @t18)) % 60.27/60.59 (define @t21 () (tptp.u0 tptp.g0 tptp.h0)) % 60.27/60.59 (define @t22 () (= tptp.v0 @t21)) % 60.27/60.59 (define @t23 () (+ 1 @t1)) % 60.27/60.59 (define @t24 () (* 2 tptp.v0)) % 60.27/60.59 (define @t25 () (- @t24 2)) % 60.27/60.59 (define @t26 () (|tptp.'div:(Int*Int)>Int'| @t25 @t23)) % 60.27/60.59 (define @t27 () (tptp.small @t1)) % 60.27/60.59 (define @t28 () (= @t27 @t26)) % 60.27/60.59 (define @t29 () (forall @t5 @t28)) % 60.27/60.59 (define @t30 () (+ 2 2)) % 60.27/60.59 (define @t31 () (* 2 @t30)) % 60.27/60.59 (define @t32 () (* 2 @t31)) % 60.27/60.59 (define @t33 () (* 2 @t32)) % 60.27/60.59 (define @t34 () (- @t33 2)) % 60.27/60.59 (define @t35 () (|tptp.'div:(Int*Int)>Int'| @t34 @t23)) % 60.27/60.59 (define @t36 () (tptp.fast @t1)) % 60.27/60.59 (define @t37 () (= @t36 @t35)) % 60.27/60.59 (define @t38 () (forall @t5 @t37)) % 60.27/60.59 (define @t39 () (@var "C" Int)) % 60.27/60.59 (define @t40 () (= (tptp.small @t39) (tptp.fast @t39))) % 60.27/60.59 (define @t41 () (not @t40)) % 60.27/60.59 (define @t42 () (>= @t39 0)) % 60.27/60.59 (define @t43 () (and @t42 @t41)) % 60.27/60.59 (define @t44 () (@list @t39)) % 60.27/60.59 (define @t45 () (exists @t44 @t43)) % 60.27/60.59 (define @t46 () (not @t42)) % 60.27/60.59 (define @t47 () (forall @t44 (not @t43))) % 60.27/60.59 (define @t48 () (not @t47)) % 60.27/60.59 (define @t49 () (@quantifiers_skolemize (forall @t44 (or @t46 @t40)) 0)) % 60.27/60.59 (define @t50 () (tptp.fast @t49)) % 60.27/60.59 (define @t51 () (tptp.small @t49)) % 60.27/60.59 (define @t52 () (= @t51 @t50)) % 60.27/60.59 (define @t53 () (or (not (>= @t49 0)) @t52)) % 60.27/60.59 (define @t54 () (+ -2 @t24)) % 60.27/60.59 (define @t55 () (|tptp.'div:(Int*Int)>Int'| @t54 @t23)) % 60.27/60.59 (define @t56 () (= @t27 @t55)) % 60.27/60.59 (define @t57 () (* -1 2)) % 60.27/60.59 (define @t58 () (+ @t24 @t57)) % 60.27/60.59 (define @t59 () (@list @t49)) % 60.27/60.59 (define @t60 () (+ @t33 @t57)) % 60.27/60.59 (define @t61 () (+ -1 @t1)) % 60.27/60.59 (define @t62 () (= @t11 (tptp.f0 (tptp.u0 @t61 @t7)))) % 60.27/60.59 (define @t63 () (>= @t1 1)) % 60.27/60.59 (define @t64 () (not @t63)) % 60.27/60.59 (define @t65 () (or @t64 @t62)) % 60.27/60.59 (define @t66 () (forall @t19 @t65)) % 60.27/60.59 (define @t67 () (@list @t1 @t7)) % 60.27/60.59 (define @t68 () (@var "BOUND_VARIABLE_7503" Int)) % 60.27/60.59 (define @t69 () (@var "BOUND_VARIABLE_7501" Int)) % 60.27/60.59 (define @t70 () (= @t7 @t11)) % 60.27/60.59 (define @t71 () (or @t63 @t70)) % 60.27/60.59 (define @t72 () (forall @t19 @t71)) % 60.27/60.59 (define @t73 () (@var "BOUND_VARIABLE_7493" Int)) % 60.27/60.59 (define @t74 () (@var "BOUND_VARIABLE_7491" Int)) % 60.27/60.59 (define @t75 () (and @t72 @t66)) % 60.27/60.59 (define @t76 () (and (=> @t64 @t70) (=> @t63 @t62))) % 60.27/60.59 (define @t77 () (* -1 1)) % 60.27/60.59 (define @t78 () (+ @t1 @t77)) % 60.27/60.59 (define @t79 () (+ 0 1)) % 60.27/60.59 (define @t80 () (>= @t1 @t79)) % 60.27/60.59 (define @t81 () (tptp.u0 0 2)) % 60.27/60.59 (define @t82 () (= @t81 2)) % 60.27/60.59 (define @t83 () (= 2 @t81)) % 60.27/60.59 (define @t84 () (>= 0 1)) % 60.27/60.59 (define @t85 () (or @t84 @t83)) % 60.27/60.59 (define @t86 () (forall (@list @t74 @t73) (or (>= @t74 1) (= @t73 (tptp.u0 @t74 @t73))))) % 60.27/60.59 (define @t87 () (@list false)) % 60.27/60.59 (define @t88 () (>= @t81 1)) % 60.27/60.59 (define @t89 () (not @t82)) % 60.27/60.59 (define @t90 () (not @t88)) % 60.27/60.59 (define @t91 () (>= @t81 @t79)) % 60.27/60.59 (define @t92 () (not @t91)) % 60.27/60.59 (define @t93 () (<= @t81 0)) % 60.27/60.59 (define @t94 () (not @t93)) % 60.27/60.59 (define @t95 () (not (>= 0 @t81))) % 60.27/60.59 (define @t96 () (> @t81 0)) % 60.27/60.59 (define @t97 () (+ 0 @t57)) % 60.27/60.59 (define @t98 () (+ @t81 (* -1 @t81))) % 60.27/60.59 (define @t99 () (< -1 0)) % 60.27/60.59 (define @t100 () (and @t90 @t82)) % 60.27/60.59 (define @t101 () (and @t88 @t82)) % 60.27/60.59 (define @t102 () (* 2 @t81)) % 60.27/60.59 (define @t103 () (* @t81 2)) % 60.27/60.59 (define @t104 () (* @t81 @t81)) % 60.27/60.59 (define @t105 () (* @t81 @t81)) % 60.27/60.59 (define @t106 () (= @t105 @t103)) % 60.27/60.59 (define @t107 () (and @t96 @t83)) % 60.27/60.59 (define @t108 () (and @t96 @t82)) % 60.27/60.59 (define @t109 () (= @t104 @t102)) % 60.27/60.59 (define @t110 () (tptp.f0 @t81)) % 60.27/60.59 (define @t111 () (tptp.u0 1 2)) % 60.27/60.59 (define @t112 () (= @t111 @t110)) % 60.27/60.59 (define @t113 () (+ -1 1)) % 60.27/60.59 (define @t114 () (tptp.u0 @t113 2)) % 60.27/60.59 (define @t115 () (tptp.f0 @t114)) % 60.27/60.59 (define @t116 () (= @t111 @t115)) % 60.27/60.59 (define @t117 () (>= 1 1)) % 60.27/60.59 (define @t118 () (not @t117)) % 60.27/60.59 (define @t119 () (or @t118 @t116)) % 60.27/60.59 (define @t120 () (forall (@list @t69 @t68) (or (not (>= @t69 1)) (= (tptp.u0 @t69 @t68) (tptp.f0 (tptp.u0 (+ -1 @t69) @t68)))))) % 60.27/60.59 (define @t121 () (@list @t120)) % 60.27/60.59 (define @t122 () (>= @t111 4)) % 60.27/60.59 (define @t123 () (not @t112)) % 60.27/60.59 (define @t124 () (= @t110 @t104)) % 60.27/60.59 (define @t125 () (not @t124)) % 60.27/60.59 (define @t126 () (not @t109)) % 60.27/60.59 (define @t127 () (not @t122)) % 60.27/60.59 (define @t128 () (>= 0 0)) % 60.27/60.59 (define @t129 () (* -1 0)) % 60.27/60.59 (define @t130 () (* -2 2)) % 60.27/60.59 (define @t131 () (+ 4 0 @t130 @t129 @t129)) % 60.27/60.59 (define @t132 () (* -1 @t110)) % 60.27/60.59 (define @t133 () (* -2 @t81)) % 60.27/60.59 (define @t134 () (* 0 @t111)) % 60.27/60.59 (define @t135 () (* 0 @t104)) % 60.27/60.59 (define @t136 () (= @t135 0)) % 60.27/60.59 (define @t137 () (+ @t102 @t133 @t135 @t110 @t132 @t134)) % 60.27/60.59 (define @t138 () (+ @t111 @t132)) % 60.27/60.59 (define @t139 () (* -1 @t104)) % 60.27/60.59 (define @t140 () (+ @t110 @t139)) % 60.27/60.59 (define @t141 () (+ @t102 @t139)) % 60.27/60.59 (define @t142 () (+ @t111 @t141 @t133 (* -1 @t140) (* -1 @t138))) % 60.27/60.59 (define @t143 () (>= @t142 @t131)) % 60.27/60.59 (define @t144 () (= @t138 0)) % 60.27/60.59 (define @t145 () (= (* 1 (- @t138 0)) (* 1 (- @t111 @t110)))) % 60.27/60.59 (define @t146 () (= @t144 @t112)) % 60.27/60.59 (define @t147 () (= @t140 0)) % 60.27/60.59 (define @t148 () (= (* 1 (- @t140 0)) (* 1 (- @t110 @t104)))) % 60.27/60.59 (define @t149 () (= @t147 @t124)) % 60.27/60.59 (define @t150 () (= (* -2 (- @t141 0)) (* 2 (- @t104 @t102)))) % 60.27/60.59 (define @t151 () (= @t141 0)) % 60.27/60.59 (define @t152 () (= @t151 @t109)) % 60.27/60.59 (define @t153 () (@list false false false false)) % 60.27/60.59 (define @t154 () (@list @t112 @t124 @t82 @t109)) % 60.27/60.59 (define @t155 () (>= @t111 5)) % 60.27/60.59 (define @t156 () (not @t155)) % 60.27/60.59 (define @t157 () (or @t156 @t122)) % 60.27/60.59 (define @t158 () (and @t122 @t122)) % 60.27/60.59 (define @t159 () (+ 4 1)) % 60.27/60.59 (define @t160 () (>= @t111 @t159)) % 60.27/60.59 (define @t161 () (<= @t111 4)) % 60.27/60.59 (define @t162 () (and @t161 @t161)) % 60.27/60.59 (define @t163 () (or @t162 @t158)) % 60.27/60.59 (define @t164 () (* 8 @t111)) % 60.27/60.59 (define @t165 () (+ -16 @t164)) % 60.27/60.59 (define @t166 () (* @t111 @t111)) % 60.27/60.59 (define @t167 () (* -1 @t166)) % 60.27/60.59 (define @t168 () (+ @t164 @t167)) % 60.27/60.59 (define @t169 () (+ @t168 1)) % 60.27/60.59 (define @t170 () (* 4 4)) % 60.27/60.59 (define @t171 () (* -1 @t170)) % 60.27/60.59 (define @t172 () (* 4 @t111)) % 60.27/60.59 (define @t173 () (+ @t172 @t172)) % 60.27/60.59 (define @t174 () (+ @t173 @t171)) % 60.27/60.59 (define @t175 () (- @t173 @t170)) % 60.27/60.59 (define @t176 () (>= @t166 @t175)) % 60.27/60.59 (define @t177 () (>= @t168 17)) % 60.27/60.59 (define @t178 () (not @t177)) % 60.27/60.59 (define @t179 () (tptp.f0 @t111)) % 60.27/60.59 (define @t180 () (tptp.u0 2 2)) % 60.27/60.59 (define @t181 () (= @t180 @t179)) % 60.27/60.59 (define @t182 () (+ -1 2)) % 60.27/60.59 (define @t183 () (tptp.u0 @t182 2)) % 60.27/60.59 (define @t184 () (tptp.f0 @t183)) % 60.27/60.59 (define @t185 () (= @t180 @t184)) % 60.27/60.59 (define @t186 () (>= 2 1)) % 60.27/60.59 (define @t187 () (not @t186)) % 60.27/60.59 (define @t188 () (or @t187 @t185)) % 60.27/60.59 (define @t189 () (>= @t180 16)) % 60.27/60.59 (define @t190 () (not @t181)) % 60.27/60.59 (define @t191 () (= @t179 @t166)) % 60.27/60.59 (define @t192 () (not @t191)) % 60.27/60.59 (define @t193 () (not @t189)) % 60.27/60.59 (define @t194 () (* -8 0)) % 60.27/60.59 (define @t195 () (* -16 2)) % 60.27/60.59 (define @t196 () (* 8 0)) % 60.27/60.59 (define @t197 () (+ 16 16 @t196 @t195 @t194 @t194 @t129 @t129)) % 60.27/60.59 (define @t198 () (* -8 @t111)) % 60.27/60.59 (define @t199 () (* -8 @t110)) % 60.27/60.59 (define @t200 () (* 8 @t110)) % 60.27/60.59 (define @t201 () (* 16 @t81)) % 60.27/60.59 (define @t202 () (* -1 @t179)) % 60.27/60.59 (define @t203 () (* -16 @t81)) % 60.27/60.59 (define @t204 () (* 0 @t180)) % 60.27/60.59 (define @t205 () (* 0 @t166)) % 60.27/60.59 (define @t206 () (= @t205 0)) % 60.27/60.59 (define @t207 () (+ @t203 @t164 @t205 @t179 @t202 @t201 @t135 @t200 @t199 @t198 @t204)) % 60.27/60.59 (define @t208 () (+ @t180 @t202)) % 60.27/60.59 (define @t209 () (+ @t179 @t167)) % 60.27/60.59 (define @t210 () (+ @t180 @t168 (* 8 @t141) @t203 (* -8 @t140) (* -8 @t138) (* -1 @t209) (* -1 @t208))) % 60.27/60.59 (define @t211 () (>= @t210 @t197)) % 60.27/60.59 (define @t212 () (= @t208 0)) % 60.27/60.59 (define @t213 () (= (* 1 (- @t208 0)) (* 1 (- @t180 @t179)))) % 60.27/60.59 (define @t214 () (= @t212 @t181)) % 60.27/60.59 (define @t215 () (= @t209 0)) % 60.27/60.59 (define @t216 () (= (* 1 (- @t209 0)) (* 1 (- @t179 @t166)))) % 60.27/60.59 (define @t217 () (= @t215 @t191)) % 60.27/60.59 (define @t218 () (< -8 0)) % 60.27/60.59 (define @t219 () (> 8 0)) % 60.27/60.59 (define @t220 () (<= 0 -1)) % 60.27/60.59 (define @t221 () (* 2 2)) % 60.27/60.59 (define @t222 () (* -1 5)) % 60.27/60.59 (define @t223 () (+ @t222 @t221 0 0 @t129)) % 60.27/60.59 (define @t224 () (* -1 @t111)) % 60.27/60.59 (define @t225 () (* 0 @t81)) % 60.27/60.59 (define @t226 () (+ @t224 @t225 @t135 @t132 @t110 @t111)) % 60.27/60.59 (define @t227 () (+ @t224 @t102 @t140 @t138 (* -1 @t141))) % 60.27/60.59 (define @t228 () (and @t109 @t112 @t124 @t82 @t155)) % 60.27/60.59 (define @t229 () (and @t156 @t122)) % 60.27/60.59 (define @t230 () (or @t229 (and @t122 @t156))) % 60.27/60.59 (define @t231 () (and @t122 @t161)) % 60.27/60.59 (define @t232 () (and @t161 @t122)) % 60.27/60.59 (define @t233 () (or @t232 @t231)) % 60.27/60.59 (define @t234 () (>= @t168 16)) % 60.27/60.59 (define @t235 () (<= @t166 @t175)) % 60.27/60.59 (define @t236 () (not @t234)) % 60.27/60.59 (define @t237 () (= @t180 16)) % 60.27/60.59 (define @t238 () (not @t237)) % 60.27/60.59 (define @t239 () (* -1 17)) % 60.27/60.59 (define @t240 () (* 16 2)) % 60.27/60.59 (define @t241 () (* -1 16)) % 60.27/60.59 (define @t242 () (+ @t241 @t194 @t240 @t196 @t196 0 0 @t239)) % 60.27/60.59 (define @t243 () (* -1 @t180)) % 60.27/60.59 (define @t244 () (+ @t201 @t243 @t198 @t205 @t202 @t179 @t203 @t135 @t199 @t200 @t164 @t180)) % 60.27/60.59 (define @t245 () (+ (* -1 @t168) (* -8 @t141) @t201 (* 8 @t140) (* 8 @t138) @t209 @t208 @t243)) % 60.27/60.59 (define @t246 () (+ 1 @t49)) % 60.27/60.59 (define @t247 () (+ -2 (* 2 @t180))) % 60.27/60.59 (define @t248 () (|tptp.'div:(Int*Int)>Int'| @t247 @t246)) % 60.27/60.59 (define @t249 () (= @t51 @t248)) % 60.27/60.59 (define @t250 () (= @t50 (|tptp.'div:(Int*Int)>Int'| 30 @t246))) % 60.27/60.59 (define @t251 () (= 30 @t247)) % 60.27/60.59 (define @t252 () (and @t249 @t250 @t237)) % 60.27/60.59 (assume @p1 @t6) % 60.27/60.59 (assume @p2 (= tptp.g0 2)) % 60.27/60.59 (assume @p3 (= tptp.h0 2)) % 60.27/60.59 (assume @p4 @t20) % 60.27/60.59 (assume @p5 @t22) % 60.27/60.59 (assume @p6 @t29) % 60.27/60.59 (assume @p7 @t38) % 60.27/60.59 (assume @p8 (not (not @t45))) % 60.27/60.59 (assume @p9 true) % 60.27/60.59 (step @p10 :rule bool-double-not-elim :args (@t40)) % 60.27/60.59 (step @p11 :rule refl :args (@t46)) % 60.27/60.59 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t46 (not @t41)))) % 60.27/60.59 (step @p13 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 60.27/60.59 (step @p14 :rule trans :premises (@p13 @p12)) % 60.27/60.59 (step @p15 :rule cong :premises (@p14) :args (@t47)) % 60.27/60.59 (step @p16 :rule cong :premises (@p15) :args (@t48)) % 60.27/60.59 (step @p17 :rule exists-elim :args ((= @t45 @t48))) % 60.27/60.59 (step @p18 :rule trans :premises (@p17 @p16)) % 60.27/60.59 (step @p19 :rule bool-double-not-elim :args (@t45)) % 60.27/60.59 (step @p20 :rule trans :premises (@p19 @p18)) % 60.27/60.59 (step @p21 :rule eq_resolve :premises (@p8 @p20)) % 60.27/60.59 (step @p22 :rule skolemize :premises (@p21)) % 60.27/60.59 (step @p23 :rule cnf_or_neg :args (@t53 1)) % 60.27/60.59 (step @p24 :rule chain_m_resolution :premises (@p23 @p22) :args ((not @t52) (@list true) (@list @t53))) % 60.27/60.59 (step @p25 :rule refl :args (@t23)) % 60.27/60.59 (step @p26 :rule cong :premises (@p2 @p3) :args (@t21)) % 60.27/60.59 (step @p27 :rule refl :args (tptp.v0)) % 60.27/60.59 (step @p28 :rule cong :premises (@p27 @p26) :args (@t22)) % 60.27/60.59 (step @p29 :rule eq_resolve :premises (@p5 @p28)) % 60.27/60.59 (step @p30 :rule refl :args (2)) % 60.27/60.59 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t24)) % 60.27/60.59 (step @p32 :rule refl :args (-2)) % 60.27/60.59 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t54)) % 60.27/60.59 (step @p34 :rule cong :premises (@p33 @p25) :args (@t55)) % 60.27/60.59 (step @p35 :rule refl :args (@t27)) % 60.27/60.59 (step @p36 :rule cong :premises (@p35 @p34) :args (@t56)) % 60.27/60.59 (step @p37 :rule cong :premises (@p36) :args ((forall @t5 @t56))) % 60.27/60.59 (step @p38 :rule arith_poly_norm :args ((= (+ @t24 -2) @t54))) % 60.27/60.59 (step @p39 :rule evaluate :args (@t57)) % 60.27/60.59 (step @p40 :rule refl :args (@t24)) % 60.27/60.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t58)) % 60.27/60.59 (step @p42 :rule trans :premises (@p41 @p38)) % 60.27/60.59 (step @p43 :rule arith_poly_norm :args ((= @t25 @t58))) % 60.27/60.59 (step @p44 :rule trans :premises (@p43 @p42)) % 60.27/60.59 (step @p45 :rule cong :premises (@p44 @p25) :args (@t26)) % 60.27/60.59 (step @p46 :rule cong :premises (@p35 @p45) :args (@t28)) % 60.27/60.59 (step @p47 :rule cong :premises (@p46) :args (@t29)) % 60.27/60.59 (step @p48 :rule trans :premises (@p47 @p37)) % 60.27/60.59 (step @p49 :rule eq_resolve :premises (@p6 @p48)) % 60.27/60.59 (step @p50 :rule instantiate :premises (@p49) :args (@t59)) % 60.27/60.59 (step @p51 :rule 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:premises (@p66 @p65)) % 60.27/60.59 (step @p68 :rule trans :premises (@p67 @p63)) % 60.27/60.59 (step @p69 :rule cong :premises (@p68 @p25) :args (@t35)) % 60.27/60.59 (step @p70 :rule refl :args (@t36)) % 60.27/60.59 (step @p71 :rule cong :premises (@p70 @p69) :args (@t37)) % 60.27/60.59 (step @p72 :rule cong :premises (@p71) :args (@t38)) % 60.27/60.59 (step @p73 :rule eq_resolve :premises (@p7 @p72)) % 60.27/60.59 (step @p74 :rule instantiate :premises (@p73) :args (@t59)) % 60.27/60.59 (step @p75 :rule alpha_equiv :args (@t66 @t67 (@list @t69 @t68))) % 60.27/60.59 (step @p76 :rule alpha_equiv :args (@t72 @t67 (@list @t74 @t73))) % 60.27/60.59 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t75)) % 60.27/60.59 (step @p78 :rule quant-miniscope-and :args ((= (forall @t19 (and @t71 @t65)) @t75))) % 60.27/60.59 (step @p79 :rule trans :premises (@p78 @p77)) % 60.27/60.59 (step @p80 :rule bool-impl-elim :args (@t63 @t62)) % 60.27/60.59 (step @p81 :rule refl :args (@t70)) % 60.27/60.59 (step @p82 :rule bool-double-not-elim :args (@t63)) % 60.27/60.59 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t64) @t70))) % 60.27/60.59 (step @p84 :rule bool-impl-elim :args (@t64 @t70)) % 60.27/60.59 (step @p85 :rule trans :premises (@p84 @p83)) % 60.27/60.59 (step @p86 :rule nary_cong :premises (@p85 @p80) :args (@t76)) % 60.27/60.59 (step @p87 :rule cong :premises (@p86) :args ((forall @t19 @t76))) % 60.27/60.59 (step @p88 :rule trans :premises (@p87 @p79)) % 60.27/60.59 (step @p89 :rule refl :args (@t7)) % 60.27/60.59 (step @p90 :rule arith_poly_norm :args ((= (+ @t1 -1) @t61))) % 60.27/60.59 (step @p91 :rule evaluate :args (@t77)) % 60.27/60.59 (step @p92 :rule refl :args (@t1)) % 60.27/60.59 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t78)) % 60.27/60.59 (step @p94 :rule trans :premises (@p93 @p90)) % 60.27/60.59 (step @p95 :rule arith_poly_norm :args ((= @t8 @t78))) % 60.27/60.59 (step @p96 :rule trans :premises (@p95 @p94)) % 60.27/60.59 (step @p97 :rule cong :premises (@p96 @p89) :args (@t9)) % 60.27/60.59 (step @p98 :rule cong :premises (@p97) :args (@t10)) % 60.27/60.59 (step @p99 :rule refl :args (@t11)) % 60.27/60.59 (step @p100 :rule cong :premises (@p99 @p98) :args (@t12)) % 60.27/60.59 (step @p101 :rule evaluate :args (@t79)) % 60.27/60.59 (step @p102 :rule refl :args (@t1)) % 60.27/60.59 (step @p103 :rule cong :premises (@p102 @p101) :args (@t80)) % 60.27/60.59 (step @p104 :rule cong :premises (@p103) :args ((not @t80))) % 60.27/60.59 (step @p105 :rule arith-leq-norm :args (@t1 0)) % 60.27/60.59 (step @p106 :rule trans :premises (@p105 @p104)) % 60.27/60.59 (step @p107 :rule cong :premises (@p106) :args (@t14)) % 60.27/60.59 (step @p108 :rule trans :premises (@p107 @p82)) % 60.27/60.59 (step @p109 :rule cong :premises (@p108 @p100) :args (@t15)) % 60.27/60.59 (step @p110 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t7)) (* -1 (- @t7 @t11))))) % 60.27/60.59 (step @p111 :rule arith_poly_norm_rel :premises (@p110) :args ((= @t16 @t70))) % 60.27/60.59 (step @p112 :rule cong :premises (@p106 @p111) :args (@t17)) % 60.27/60.59 (step @p113 :rule nary_cong :premises (@p112 @p109) :args (@t18)) % 60.27/60.59 (step @p114 :rule cong :premises (@p113) :args (@t20)) % 60.27/60.59 (step @p115 :rule trans :premises (@p114 @p88)) % 60.27/60.59 (step @p116 :rule eq_resolve :premises (@p4 @p115)) % 60.27/60.59 (step @p117 :rule and_elim :premises (@p116) :args (0)) % 60.27/60.59 (step @p118 :rule aci_norm :args ((= (or false @t82) @t82))) % 60.27/60.59 (step @p119 :rule arith_poly_norm :args ((= (* -2 (- 2 @t81)) (* 2 (- @t81 2))))) % 60.27/60.59 (step @p120 :rule arith_poly_norm_rel :premises (@p119) :args ((= @t83 @t82))) % 60.27/60.59 (step @p121 :rule evaluate :args (@t84)) % 60.27/60.59 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t85)) % 60.27/60.59 (step @p123 :rule trans :premises (@p122 @p118)) % 60.27/60.59 (step @p124 :rule refl :args (@t86)) % 60.27/60.59 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t86 @t85))) % 60.27/60.59 (assume-push @p647 @t86) % 60.27/60.59 (step @p127 :rule instantiate :premises (@p117) :args ((@list 0 2))) % 60.27/60.59 (step-pop @p648 :rule scope :premises (@p127)) % 60.27/60.59 (step @p128 :rule process_scope :premises (@p648) :args (@t85)) % 60.27/60.59 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 60.27/60.59 (step @p131 :rule implies_elim :premises (@p130)) % 60.27/60.59 (step @p132 :rule chain_m_resolution :premises (@p131 @p117) :args (@t82 @t87 (@list @t86))) % 60.27/60.59 (step @p133 :rule bool-double-not-elim :args (@t88)) % 60.27/60.59 (step @p134 :rule refl :args (@t89)) % 60.27/60.59 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t89 (not @t90)))) % 60.27/60.59 (assume-push @p649 @t90) % 60.27/60.59 (assume-push @p650 @t82) % 60.27/60.59 (step @p138 :rule refl :args (@t81)) % 60.27/60.59 (step @p139 :rule cong :premises (@p138 @p101) :args (@t91)) % 60.27/60.59 (step @p140 :rule cong :premises (@p139) :args (@t92)) % 60.27/60.59 (step @p141 :rule arith-leq-norm :args (@t81 0)) % 60.27/60.59 (step @p142 :rule trans :premises (@p141 @p140)) % 60.27/60.59 (step @p143 :rule cong :premises (@p142) :args (@t94)) % 60.27/60.59 (step @p144 :rule trans :premises (@p143 @p133)) % 60.27/60.59 (step @p145 :rule arith-elim-leq :args (@t81 0)) % 60.27/60.59 (step @p146 :rule symm :premises (@p145)) % 60.27/60.59 (step @p147 :rule cong :premises (@p146) :args (@t95)) % 60.27/60.59 (step @p148 :rule arith-elim-gt :args (@t81 0)) % 60.27/60.59 (step @p149 :rule trans :premises (@p148 @p147)) % 60.27/60.59 (step @p150 :rule trans :premises (@p149 @p144)) % 60.27/60.59 (step @p151 :rule cong :premises (@p150) :args ((not @t96))) % 60.27/60.59 (step @p152 :rule symm :premises (@p151)) % 60.27/60.59 (step @p153 :rule trans :premises (@p142 @p152)) % 60.27/60.59 (step @p154 :rule arith-elim-lt :args (@t81 1)) % 60.27/60.59 (step @p155 :rule symm :premises (@p154)) % 60.27/60.59 (step @p156 :rule eq_resolve :premises (@p649 @p155)) % 60.27/60.59 (step @p157 :rule int_tight_ub :premises (@p156)) % 60.27/60.59 (step @p158 :rule eq_resolve :premises (@p157 @p153)) % 60.27/60.59 (step @p159 :rule symm :premises (@p150)) % 60.27/60.59 (step @p160 :rule trans :premises (@p144 @p159)) % 60.27/60.59 (assume-push @p651 @t93) % 60.27/60.59 (step @p162 :rule evaluate :args ((<= 0 -2))) % 60.27/60.59 (step @p163 :rule evaluate :args ((+ 0 -2))) % 60.27/60.59 (step @p164 :rule refl :args (0)) % 60.27/60.59 (step @p165 :rule nary_cong :premises (@p164 @p39) :args (@t97)) % 60.27/60.59 (step @p166 :rule trans :premises (@p165 @p163)) % 60.27/60.59 (step @p167 :rule arith_poly_norm :args ((= @t98 0))) % 60.27/60.59 (step @p168 :rule cong :premises (@p167 @p166) :args ((<= @t98 @t97))) % 60.27/60.59 (step @p169 :rule trans :premises (@p168 @p162)) % 60.27/60.59 (step @p170 :rule arith_mult_neg :args (-1 @t82)) % 60.27/60.59 (step @p171 :rule evaluate :args (@t99)) % 60.27/60.59 (step @p172 :rule true_elim :premises (@p171)) % 60.27/60.59 (step @p173 :rule and_intro :premises (@p172 @p132)) % 60.27/60.59 (step @p174 :rule modus_ponens :premises (@p173 @p170)) % 60.27/60.59 (step @p175 :rule arith_sum_ub :premises (@p651 @p174)) % 60.27/60.59 (step @p176 false :rule eq_resolve :premises (@p175 @p169)) % 60.27/60.59 (step-pop @p652 :rule scope :premises (@p176)) % 60.27/60.59 (step @p177 :rule process_scope :premises (@p652) :args (false)) % 60.27/60.59 (step @p179 :rule eq_resolve :premises (@p177 @p160)) % 60.27/60.59 (step @p180 false :rule contra :premises (@p179 @p158)) % 60.27/60.59 (step-pop @p653 :rule scope :premises (@p180)) % 60.27/60.59 (step-pop @p654 :rule scope :premises (@p653)) % 60.27/60.59 (step @p181 :rule process_scope :premises (@p654) :args (false)) % 60.27/60.59 (assume-push @p655 @t82) % 60.27/60.59 (assume-push @p656 @t90) % 60.27/60.59 (step @p186 :rule and_intro :premises (@p656 @p132)) % 60.27/60.59 (step-pop @p657 :rule scope :premises (@p186)) % 60.27/60.59 (step-pop @p658 :rule scope :premises (@p657)) % 60.27/60.59 (step @p187 :rule process_scope :premises (@p658) :args (@t100)) % 60.27/60.59 (step @p190 :rule implies_elim :premises (@p187)) % 60.27/60.59 (step @p191 :rule resolution :premises (@p190 @p181) :args (true @t100)) % 60.27/60.59 (step @p192 :rule not_and :premises (@p191)) % 60.27/60.59 (step @p193 :rule eq_resolve :premises (@p192 @p135)) % 60.27/60.59 (step @p194 :rule chain_m_resolution :premises (@p193 @p132) :args (@t88 @t87 (@list @t82))) % 60.27/60.59 (step @p195 :rule cnf_and_neg :args (@t101)) % 60.27/60.59 (step @p196 :rule reordering :premises (@p195) :args ((or @t89 @t90 @t101))) % 60.27/60.59 (step @p197 :rule chain_m_resolution :premises (@p196 @p132 @p194) :args (@t101 (@list false false) (@list @t82 @t88))) % 60.27/60.59 (step @p198 :rule arith_poly_norm :args ((= @t103 @t102))) % 60.27/60.59 (step @p199 :rule arith_poly_norm :args ((= @t105 @t104))) % 60.27/60.59 (step @p200 :rule cong :premises (@p199 @p198) :args (@t106)) % 60.27/60.59 (step @p138 :rule refl :args (@t81)) % 60.27/60.59 (step @p139 :rule cong :premises (@p138 @p101) :args (@t91)) % 60.27/60.59 (step @p140 :rule cong :premises (@p139) :args (@t92)) % 60.27/60.59 (step @p141 :rule arith-leq-norm :args (@t81 0)) % 60.27/60.59 (step @p142 :rule trans :premises (@p141 @p140)) % 60.27/60.59 (step @p143 :rule cong :premises (@p142) :args (@t94)) % 60.27/60.59 (step @p144 :rule trans :premises (@p143 @p133)) % 60.27/60.59 (step @p145 :rule arith-elim-leq :args (@t81 0)) % 60.27/60.59 (step @p146 :rule symm :premises (@p145)) % 60.27/60.59 (step @p147 :rule cong :premises (@p146) :args (@t95)) % 60.27/60.59 (step @p148 :rule arith-elim-gt :args (@t81 0)) % 60.27/60.59 (step @p149 :rule trans :premises (@p148 @p147)) % 60.27/60.59 (step @p150 :rule trans :premises (@p149 @p144)) % 60.27/60.59 (step @p201 :rule nary_cong :premises (@p150 @p120) :args (@t107)) % 60.27/60.59 (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t107 @t106))) % 60.27/60.59 (step @p203 :rule symm :premises (@p202)) % 60.27/60.59 (step @p204 :rule refl :args (@t82)) % 60.27/60.59 (step @p205 :rule nary_cong :premises (@p150 @p204) :args (@t108)) % 60.27/60.59 (step @p206 :rule cong :premises (@p205 @p200) :args ((=> @t108 @t106))) % 60.27/60.59 (step @p207 :rule trans :premises (@p206 @p203)) % 60.27/60.59 (step @p208 :rule arith_mult_pos :args (@t81 @t82)) % 60.27/60.59 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 60.27/60.59 (step @p210 :rule eq_resolve :premises (@p209 @p202)) % 60.27/60.59 (step @p211 :rule implies_elim :premises (@p210)) % 60.27/60.59 (step @p212 :rule reordering :premises (@p211) :args ((or @t109 (not @t101)))) % 60.27/60.59 (step @p213 :rule chain_m_resolution :premises (@p212 @p197) :args (@t109 @t87 (@list @t101))) % 60.27/60.59 (step @p214 :rule arith_poly_norm :args ((= @t2 (* @t1 @t1)))) % 60.27/60.59 (step @p215 :rule refl :args (@t3)) % 60.27/60.59 (step @p216 :rule cong :premises (@p215 @p214) :args (@t4)) % 60.27/60.59 (step @p217 :rule cong :premises (@p216) :args (@t6)) % 60.27/60.59 (step @p218 :rule eq_resolve :premises (@p1 @p217)) % 60.27/60.59 (step @p219 :rule instantiate :premises (@p218) :args ((@list @t81))) % 60.27/60.59 (step @p220 :rule and_elim :premises (@p116) :args (1)) % 60.27/60.59 (step @p221 :rule aci_norm :args ((= (or false @t112) @t112))) % 60.27/60.59 (step @p222 :rule evaluate :args (@t113)) % 60.27/60.59 (step @p223 :rule cong :premises (@p222 @p30) :args (@t114)) % 60.27/60.59 (step @p224 :rule cong :premises (@p223) :args (@t115)) % 60.27/60.59 (step @p225 :rule refl :args (@t111)) % 60.27/60.59 (step @p226 :rule cong :premises (@p225 @p224) :args (@t116)) % 60.27/60.59 (step @p227 :rule evaluate :args ((not true))) % 60.27/60.59 (step @p228 :rule evaluate :args (@t117)) % 60.27/60.59 (step @p229 :rule cong :premises (@p228) :args (@t118)) % 60.27/60.59 (step @p230 :rule trans 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60.27/60.59 (assume-push @p675 @t82) % 60.27/60.59 (assume-push @p676 @t124) % 60.27/60.59 (assume-push @p677 @t112) % 60.27/60.59 (assume-push @p678 @t191) % 60.27/60.59 (assume-push @p679 @t181) % 60.27/60.59 (assume-push @p680 @t193) % 60.27/60.59 (step @p252 :rule evaluate :args (@t128)) % 60.27/60.59 (step @p379 :rule evaluate :args ((+ 16 16 0 -32 0 0 0 0))) % 60.27/60.59 (step @p254 :rule evaluate :args (@t129)) % 60.27/60.59 (step @p380 :rule evaluate :args (@t194)) % 60.27/60.59 (step @p381 :rule evaluate :args (@t195)) % 60.27/60.59 (step @p382 :rule evaluate :args (@t196)) % 60.27/60.59 (step @p383 :rule refl :args (16)) % 60.27/60.59 (step @p384 :rule nary_cong :premises (@p383 @p383 @p382 @p381 @p380 @p380 @p254 @p254) :args (@t197)) % 60.27/60.59 (step @p385 :rule trans :premises (@p384 @p379)) % 60.27/60.59 (step @p386 :rule arith_poly_norm :args ((= (+ @t203 @t164 0 @t179 @t202 @t201 0 @t200 @t199 @t198 0) 0))) % 60.27/60.59 (step @p387 :rule arith_poly_norm :args ((= 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@t177))) % 60.27/60.59 (assume-push @p689 @t109) % 60.27/60.59 (assume-push @p690 @t112) % 60.27/60.59 (assume-push @p691 @t124) % 60.27/60.59 (assume-push @p692 @t82) % 60.27/60.59 (assume-push @p693 @t155) % 60.27/60.59 (step @p467 :rule arith-elim-lt :args (@t111 5)) % 60.27/60.59 (step @p468 :rule symm :premises (@p467)) % 60.27/60.59 (assume-push @p694 @t155) % 60.27/60.59 (step @p470 :rule evaluate :args (@t220)) % 60.27/60.59 (step @p471 :rule evaluate :args ((+ -5 4 0 0 0))) % 60.27/60.59 (step @p254 :rule evaluate :args (@t129)) % 60.27/60.59 (step @p164 :rule refl :args (0)) % 60.27/60.59 (step @p472 :rule evaluate :args (@t221)) % 60.27/60.59 (step @p473 :rule evaluate :args (@t222)) % 60.27/60.59 (step @p474 :rule nary_cong :premises (@p473 @p472 @p164 @p164 @p254) :args (@t223)) % 60.27/60.59 (step @p475 :rule trans :premises (@p474 @p471)) % 60.27/60.59 (step @p476 :rule arith_poly_norm :args ((= (+ @t224 0 0 @t132 @t110 @t111) 0))) % 60.27/60.59 (step @p262 :rule refl :args (@t110)) % 60.27/60.59 (step @p261 :rule refl :args (@t132)) % 60.27/60.59 (step @p263 :rule arith_poly_norm :args (@t136)) % 60.27/60.59 (step @p477 :rule arith_poly_norm :args ((= @t225 0))) % 60.27/60.59 (step @p478 :rule refl :args (@t224)) % 60.27/60.59 (step @p479 :rule nary_cong :premises (@p478 @p477 @p263 @p261 @p262 @p225) :args (@t226)) % 60.27/60.59 (step @p480 :rule trans :premises (@p479 @p476)) % 60.27/60.59 (step @p481 :rule arith_poly_norm :args ((= @t227 @t226))) % 60.27/60.59 (step @p482 :rule trans :premises (@p481 @p480)) % 60.27/60.59 (step @p483 :rule cong :premises (@p482 @p475) :args ((<= @t227 @t223))) % 60.27/60.59 (step @p484 :rule trans :premises (@p483 @p470)) % 60.27/60.59 (step @p485 :rule arith_mult_neg :args (-1 @t151)) % 60.27/60.59 (step @p295 :rule arith_poly_norm :args (@t150)) % 60.27/60.59 (step @p296 :rule arith_poly_norm_rel :premises (@p295) :args (@t152)) % 60.27/60.59 (step @p297 :rule symm :premises (@p296)) % 60.27/60.59 (step @p486 :rule eq_resolve :premises (@p689 @p297)) % 60.27/60.59 (step @p171 :rule evaluate :args (@t99)) % 60.27/60.59 (step @p172 :rule true_elim :premises (@p171)) % 60.27/60.59 (step @p487 :rule and_intro :premises (@p172 @p486)) % 60.27/60.59 (step @p488 :rule modus_ponens :premises (@p487 @p485)) % 60.27/60.59 (step @p277 :rule arith_poly_norm :args (@t145)) % 60.27/60.59 (step @p278 :rule arith_poly_norm_rel :premises (@p277) :args (@t146)) % 60.27/60.59 (step @p279 :rule symm :premises (@p278)) % 60.27/60.59 (step @p280 :rule eq_resolve :premises (@p241 @p279)) % 60.27/60.59 (step @p284 :rule arith_poly_norm :args (@t148)) % 60.27/60.59 (step @p285 :rule arith_poly_norm_rel :premises (@p284) :args (@t149)) % 60.27/60.59 (step @p286 :rule symm :premises (@p285)) % 60.27/60.59 (step @p287 :rule eq_resolve :premises (@p219 @p286)) % 60.27/60.59 (step @p489 :rule arith_mult_pos :args (2 @t82)) % 60.27/60.59 (step @p490 :rule evaluate :args ((> 2 0))) % 60.27/60.59 (step @p491 :rule true_elim :premises (@p490)) % 60.27/60.59 (step @p492 :rule and_intro :premises (@p491 @p132)) % 60.27/60.59 (step @p493 :rule modus_ponens :premises (@p492 @p489)) % 60.27/60.59 (step @p494 :rule arith_mult_neg :args (-1 @t155)) % 60.27/60.59 (step @p495 :rule and_intro :premises (@p172 @p693)) % 60.27/60.59 (step @p496 :rule modus_ponens :premises (@p495 @p494)) % 60.27/60.59 (step @p497 :rule arith_sum_ub :premises (@p496 @p493 @p287 @p280 @p488)) % 60.27/60.59 (step @p498 false :rule eq_resolve :premises (@p497 @p484)) % 60.27/60.59 (step-pop @p695 :rule scope :premises (@p498)) % 60.27/60.59 (step @p499 :rule process_scope :premises (@p695) :args (false)) % 60.27/60.59 (step @p501 :rule eq_resolve :premises (@p499 @p468)) % 60.27/60.59 (step @p502 :rule eq_resolve :premises (@p501 @p467)) % 60.27/60.59 (step @p503 false :rule contra :premises (@p693 @p502)) % 60.27/60.59 (step-pop @p696 :rule scope :premises (@p503)) % 60.27/60.59 (step-pop @p697 :rule scope :premises (@p696)) % 60.27/60.59 (step-pop @p698 :rule scope :premises (@p697)) % 60.27/60.59 (step-pop @p699 :rule scope :premises (@p698)) % 60.27/60.59 (step-pop @p700 :rule scope :premises (@p699)) % 60.27/60.59 (step @p504 :rule process_scope :premises (@p700) :args (false)) % 60.27/60.59 (assume-push @p701 @t112) % 60.27/60.59 (assume-push @p702 @t124) % 60.27/60.59 (assume-push @p703 @t82) % 60.27/60.59 (assume-push @p704 @t109) % 60.27/60.59 (assume-push @p705 @t155) % 60.27/60.59 (step @p515 :rule and_intro :premises (@p704 @p241 @p219 @p132 @p705)) % 60.27/60.59 (step-pop @p706 :rule scope :premises (@p515)) % 60.27/60.59 (step-pop @p707 :rule scope :premises (@p706)) % 60.27/60.59 (step-pop @p708 :rule scope :premises (@p707)) % 60.27/60.59 (step-pop @p709 :rule scope :premises (@p708)) % 60.27/60.59 (step-pop @p710 :rule scope :premises (@p709)) % 60.27/60.59 (step @p516 :rule process_scope :premises (@p710) :args (@t228)) % 60.27/60.59 (step @p522 :rule implies_elim :premises (@p516)) % 60.27/60.59 (step @p523 :rule resolution :premises (@p522 @p504) :args (true @t228)) % 60.27/60.59 (step @p524 :rule not_and :premises (@p523)) % 60.27/60.59 (step @p525 :rule chain_m_resolution :premises (@p524 @p241 @p219 @p132 @p213) :args (@t156 @t153 @t154)) % 60.27/60.59 (step @p526 :rule refl :args (@t127)) % 60.27/60.59 (step @p527 :rule bool-double-not-elim :args (@t155)) % 60.27/60.59 (step @p528 :rule refl :args (@t229)) % 60.27/60.59 (step @p529 :rule nary_cong :premises (@p528 @p527 @p526) :args ((or @t229 (not @t156) @t127))) % 60.27/60.59 (step @p530 :rule cnf_and_neg :args (@t229)) % 60.27/60.59 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 60.27/60.59 (step @p532 :rule reordering :premises (@p531) :args ((or @t155 @t229 @t127))) % 60.27/60.59 (step @p533 :rule chain_m_resolution :premises (@p532 @p525 @p313) :args (@t229 (@list true false) (@list @t155 @t122))) % 60.27/60.59 (step @p534 :rule cnf_or_neg :args (@t230 0)) % 60.27/60.59 (step @p535 :rule chain_m_resolution :premises (@p534 @p533) :args (@t230 @t87 (@list @t229))) % 60.27/60.59 (step @p536 :rule refl :args (@t122)) % 60.27/60.59 (step @p537 :rule nary_cong :premises (@p536 @p322) :args (@t231)) % 60.27/60.59 (step @p538 :rule nary_cong :premises (@p322 @p536) :args (@t232)) % 60.27/60.59 (step @p539 :rule nary_cong :premises (@p538 @p537) :args (@t233)) % 60.27/60.59 (step @p540 :rule arith_poly_norm :args ((= (* -16 (- @t165 @t166)) (* -16 (- @t168 16))))) % 60.27/60.59 (step @p541 :rule arith_poly_norm_rel :premises (@p540) :args ((= (>= @t165 @t166) @t234))) % 60.27/60.59 (step @p542 :rule arith-elim-leq :args (@t166 @t165)) % 60.27/60.59 (step @p543 :rule trans :premises (@p542 @p541)) % 60.27/60.59 (step @p544 :rule cong :premises (@p338 @p337) :args (@t235)) % 60.27/60.59 (step @p545 :rule trans :premises (@p544 @p543)) % 60.27/60.59 (step @p546 :rule cong :premises (@p545 @p539) :args ((= @t235 @t233))) % 60.27/60.59 (step @p547 :rule arith_mult_tangent :args (@t111 @t111 4 4 false)) % 60.27/60.59 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 60.27/60.59 (step @p549 :rule equiv_elim2 :premises (@p548)) % 60.27/60.59 (step @p550 :rule chain_m_resolution :premises (@p549 @p535) :args (@t234 @t87 (@list @t230))) % 60.27/60.59 (step @p551 :rule refl :args (@t236)) % 60.27/60.59 (step @p552 :rule bool-double-not-elim :args (@t237)) % 60.27/60.59 (step @p553 :rule refl :args (@t193)) % 60.27/60.59 (step @p554 :rule nary_cong :premises (@p245 @p134 @p244 @p243 @p368 @p367 @p553 @p552 @p551) :args ((or @t126 @t89 @t125 @t123 @t192 @t190 @t193 (not @t238) @t236))) % 60.27/60.59 (assume-push @p711 @t109) % 60.27/60.59 (assume-push @p712 @t82) % 60.27/60.59 (assume-push @p713 @t124) % 60.27/60.59 (assume-push @p714 @t112) % 60.27/60.59 (assume-push @p715 @t191) % 60.27/60.59 (assume-push @p716 @t181) % 60.27/60.59 (assume-push @p717 @t189) % 60.27/60.59 (assume-push @p718 @t238) % 60.27/60.59 (assume-push @p719 @t234) % 60.27/60.59 (step @p470 :rule evaluate :args (@t220)) % 60.27/60.59 (step @p564 :rule evaluate :args ((+ -16 0 32 0 0 0 0 -17))) % 60.27/60.59 (step @p565 :rule evaluate :args (@t239)) % 60.27/60.59 (step @p164 :rule refl :args (0)) % 60.27/60.59 (step @p382 :rule evaluate :args (@t196)) % 60.27/60.59 (step @p566 :rule evaluate :args (@t240)) % 60.27/60.59 (step @p380 :rule evaluate :args (@t194)) % 60.27/60.59 (step @p567 :rule evaluate :args (@t241)) % 60.27/60.59 (step @p568 :rule nary_cong :premises (@p567 @p380 @p566 @p382 @p382 @p164 @p164 @p565) :args (@t242)) % 60.27/60.59 (step @p569 :rule trans :premises (@p568 @p564)) % 60.27/60.59 (step @p570 :rule arith_poly_norm :args ((= (+ @t201 @t243 @t198 0 @t202 @t179 @t203 0 @t199 @t200 @t164 @t180) 0))) % 60.27/60.59 (step @p395 :rule refl :args (@t164)) % 60.27/60.59 (step @p390 :rule refl :args (@t200)) % 60.27/60.59 (step @p389 :rule refl :args (@t199)) % 60.27/60.59 (step @p263 :rule arith_poly_norm :args (@t136)) % 60.27/60.59 (step @p396 :rule refl :args (@t203)) % 60.27/60.59 (step @p393 :rule refl :args (@t179)) % 60.27/60.59 (step @p392 :rule refl :args (@t202)) % 60.27/60.59 (step @p394 :rule arith_poly_norm :args (@t206)) % 60.27/60.59 (step @p388 :rule refl :args (@t198)) % 60.27/60.59 (step @p571 :rule refl :args (@t243)) % 60.27/60.59 (step @p391 :rule refl :args (@t201)) % 60.27/60.59 (step @p572 :rule nary_cong :premises (@p391 @p571 @p388 @p394 @p392 @p393 @p396 @p263 @p389 @p390 @p395 @p351) :args (@t244)) % 60.27/60.59 (step @p573 :rule trans :premises (@p572 @p570)) % 60.27/60.59 (step @p574 :rule arith_poly_norm :args ((= @t245 @t244))) % 60.27/60.59 (step @p575 :rule trans :premises (@p574 @p573)) % 60.27/60.59 (step @p576 :rule cong :premises (@p575 @p569) :args ((<= @t245 @t242))) % 60.27/60.59 (step @p577 :rule trans :premises (@p576 @p470)) % 60.27/60.59 (step @p578 :rule arith_mult_neg :args (-1 (>= @t180 17))) % 60.27/60.59 (step @p579 :rule arith_trichotomy :premises (@p717 @p718)) % 60.27/60.59 (step @p580 :rule int_tight_lb :premises (@p579)) % 60.27/60.59 (step @p171 :rule evaluate :args (@t99)) % 60.27/60.59 (step @p172 :rule true_elim :premises (@p171)) % 60.27/60.59 (step @p581 :rule and_intro :premises (@p172 @p580)) % 60.27/60.59 (step @p582 :rule modus_ponens :premises (@p581 @p578)) % 60.27/60.59 (step @p408 :rule arith_poly_norm :args (@t213)) % 60.27/60.59 (step @p409 :rule arith_poly_norm_rel :premises (@p408) :args (@t214)) % 60.27/60.59 (step @p410 :rule symm :premises (@p409)) % 60.27/60.59 (step @p411 :rule eq_resolve :premises (@p365 @p410)) % 60.27/60.59 (step @p415 :rule arith_poly_norm :args (@t216)) % 60.27/60.59 (step @p416 :rule arith_poly_norm_rel :premises (@p415) :args (@t217)) % 60.27/60.59 (step @p417 :rule symm :premises (@p416)) % 60.27/60.59 (step @p418 :rule eq_resolve :premises (@p346 @p417)) % 60.27/60.59 (step @p583 :rule arith_mult_pos :args (8 @t144)) % 60.27/60.59 (step @p277 :rule arith_poly_norm :args (@t145)) % 60.27/60.59 (step @p278 :rule arith_poly_norm_rel :premises (@p277) :args (@t146)) % 60.27/60.59 (step @p279 :rule symm :premises (@p278)) % 60.27/60.59 (step @p280 :rule eq_resolve :premises (@p241 @p279)) % 60.27/60.59 (step @p436 :rule evaluate :args (@t219)) % 60.27/60.59 (step @p437 :rule true_elim :premises (@p436)) % 60.27/60.59 (step @p584 :rule and_intro :premises (@p437 @p280)) % 60.27/60.59 (step @p585 :rule modus_ponens :premises (@p584 @p583)) % 60.27/60.59 (step @p586 :rule arith_mult_pos :args (8 @t147)) % 60.27/60.59 (step @p284 :rule arith_poly_norm :args (@t148)) % 60.27/60.59 (step @p285 :rule arith_poly_norm_rel :premises (@p284) :args (@t149)) % 60.27/60.59 (step @p286 :rule symm :premises (@p285)) % 60.27/60.59 (step @p287 :rule eq_resolve :premises (@p219 @p286)) % 60.27/60.59 (step @p587 :rule and_intro :premises (@p437 @p287)) % 60.27/60.59 (step @p588 :rule modus_ponens :premises (@p587 @p586)) % 60.27/60.59 (step @p589 :rule arith_mult_pos :args (16 @t82)) % 60.27/60.59 (step @p590 :rule evaluate :args ((> 16 0))) % 60.27/60.59 (step @p591 :rule true_elim :premises (@p590)) % 60.27/60.59 (step @p592 :rule and_intro :premises (@p591 @p132)) % 60.27/60.59 (step @p593 :rule modus_ponens :premises (@p592 @p589)) % 60.27/60.59 (step @p594 :rule arith_mult_neg :args (-8 @t151)) % 60.27/60.59 (step @p295 :rule arith_poly_norm :args (@t150)) % 60.27/60.59 (step @p296 :rule arith_poly_norm_rel :premises (@p295) :args (@t152)) % 60.27/60.59 (step @p297 :rule symm :premises (@p296)) % 60.27/60.59 (step @p595 :rule eq_resolve :premises (@p711 @p297)) % 60.27/60.59 (step @p422 :rule evaluate :args (@t218)) % 60.27/60.59 (step @p423 :rule true_elim :premises (@p422)) % 60.27/60.59 (step @p596 :rule and_intro :premises (@p423 @p595)) % 60.27/60.59 (step @p597 :rule modus_ponens :premises (@p596 @p594)) % 60.27/60.59 (step @p598 :rule arith_mult_neg :args (-1 @t234)) % 60.27/60.59 (step @p599 :rule and_intro :premises (@p172 @p719)) % 60.27/60.59 (step @p600 :rule modus_ponens :premises (@p599 @p598)) % 60.27/60.59 (step @p601 :rule arith_sum_ub :premises (@p600 @p597 @p593 @p588 @p585 @p418 @p411 @p582)) % 60.27/60.59 (step @p602 false :rule eq_resolve :premises (@p601 @p577)) % 60.27/60.59 (step-pop @p720 :rule scope :premises (@p602)) % 60.27/60.59 (step-pop @p721 :rule scope :premises (@p720)) % 60.27/60.59 (step-pop @p722 :rule scope :premises (@p721)) % 60.27/60.59 (step-pop @p723 :rule scope :premises (@p722)) % 60.27/60.59 (step-pop @p724 :rule scope :premises (@p723)) % 60.27/60.59 (step-pop @p725 :rule scope :premises (@p724)) % 60.27/60.59 (step-pop @p726 :rule scope :premises (@p725)) % 60.27/60.59 (step-pop @p727 :rule scope :premises (@p726)) % 60.27/60.59 (step-pop @p728 :rule scope :premises (@p727)) % 60.27/60.59 (step @p603 :rule process_scope :premises (@p728) :args (false)) % 60.27/60.59 (step @p613 :rule not_and :premises (@p603)) % 60.27/60.59 (step @p614 :rule eq_resolve :premises (@p613 @p554)) % 60.27/60.59 (step @p615 :rule reordering :premises (@p614) :args ((or @t123 @t125 @t89 @t126 @t190 @t192 @t236 @t237 @t193))) % 60.27/60.59 (step @p616 :rule chain_m_resolution :premises (@p615 @p241 @p219 @p132 @p213 @p365 @p346 @p550 @p461) :args (@t237 (@list false false false false false false false false) (@list @t112 @t124 @t82 @t109 @t181 @t191 @t234 @t189))) % 60.27/60.59 (assume-push @p729 @t249) % 60.27/60.59 (assume-push @p730 @t250) % 60.27/60.59 (assume-push @p731 @t237) % 60.27/60.59 (assume-push @p732 @t250) % 60.27/60.59 (assume-push @p733 @t251) % 60.27/60.59 (assume-push @p734 @t249) % 60.27/60.59 (step @p623 :rule symm :premises (@p74)) % 60.27/60.59 (step @p624 :rule refl :args (@t246)) % 60.27/60.59 (step @p625 :rule symm :premises (@p733)) % 60.27/60.59 (step @p626 :rule cong :premises (@p625 @p624) :args (@t248)) % 60.27/60.59 (step @p627 :rule trans :premises (@p50 @p626 @p623)) % 60.27/60.59 (step-pop @p735 :rule scope :premises (@p627)) % 60.27/60.59 (step-pop @p736 :rule scope :premises (@p735)) % 60.27/60.59 (step-pop @p737 :rule scope :premises (@p736)) % 60.27/60.59 (step @p628 :rule process_scope :premises (@p737) :args (@t52)) % 60.27/60.59 (step @p632 :rule arith_poly_norm :args ((= (* -16 (- 30 @t247)) (* 32 (- @t180 16))))) % 60.27/60.59 (step @p633 :rule arith_poly_norm_rel :premises (@p632) :args ((= @t251 @t237))) % 60.27/60.59 (step @p634 :rule symm :premises (@p633)) % 60.27/60.59 (step @p635 :rule eq_resolve :premises (@p731 @p634)) % 60.27/60.59 (step @p636 :rule and_intro :premises (@p74 @p635 @p50)) % 60.27/60.59 (step @p637 :rule modus_ponens :premises (@p636 @p628)) % 60.27/60.59 (step-pop @p738 :rule scope :premises (@p637)) % 60.27/60.59 (step-pop @p739 :rule scope :premises (@p738)) % 60.27/60.59 (step-pop @p740 :rule scope :premises (@p739)) % 60.27/60.59 (step @p638 :rule process_scope :premises (@p740) :args (@t52)) % 60.27/60.59 (step @p642 :rule implies_elim :premises (@p638)) % 60.27/60.59 (step @p643 :rule cnf_and_neg :args (@t252)) % 60.27/60.59 (step @p644 :rule resolution :premises (@p643 @p642) :args (true @t252)) % 60.27/60.59 (step @p645 :rule reordering :premises (@p644) :args ((or @t52 (not @t249) (not @t250) @t238))) % 60.27/60.59 (step @p646 false :rule chain_m_resolution :premises (@p645 @p616 @p74 @p50 @p24) :args (false (@list false false false true) (@list @t237 @t250 @t249 @t52))) % 60.27/60.59 ) % 60.27/60.59 % SZS output end Proof % 60.27/60.59 % cvc5 exiting %------------------------------------------------------------------------------