%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI639_1 : TPTP v9.2.1. Released v6.3.0. % 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 08:08:02 AM UTC 2026 % Result : Theorem 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI639_1 : TPTP v9.2.1. Released v6.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 : Wed Jun 3 02:30:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.45/0.64 --- Run --finite-model-find --decision=internal at 45... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-const tptp.eps Real) % 0.45/0.64 (declare-const tptp.c Real) % 0.45/0.64 (declare-const tptp.k Real) % 0.45/0.64 (declare-const tptp.x Real) % 0.45/0.64 (declare-const tptp.n Real) % 0.45/0.64 (define @t1 () (>= tptp.n 0/1)) % 0.45/0.64 (define @t2 () (* tptp.k tptp.x)) % 0.45/0.64 (define @t3 () (/ 1/1 2/1)) % 0.45/0.64 (define @t4 () (* @t3 @t2)) % 0.45/0.64 (define @t5 () (> tptp.c 0/1)) % 0.45/0.64 (define @t6 () (> tptp.eps 0/1)) % 0.45/0.64 (define @t7 () (+ 3/1 tptp.c)) % 0.45/0.64 (define @t8 () (/ 1/1 @t7)) % 0.45/0.64 (define @t9 () (* @t8 tptp.eps)) % 0.45/0.64 (define @t10 () (/ 1/1 3/1)) % 0.45/0.64 (define @t11 () (* @t10 @t9)) % 0.45/0.64 (define @t12 () (+ @t11 1/1)) % 0.45/0.64 (define @t13 () (* @t12 tptp.n)) % 0.45/0.64 (define @t14 () (not (< @t13 @t2))) % 0.45/0.64 (define @t15 () (* -1/1 tptp.eps)) % 0.45/0.64 (define @t16 () (>= @t15 0/1)) % 0.45/0.64 (define @t17 () (>= 0/1 tptp.eps)) % 0.45/0.64 (define @t18 () (>= @t15 1/1)) % 0.45/0.64 (define @t19 () (not @t18)) % 0.45/0.64 (define @t20 () (not @t16)) % 0.45/0.64 (define @t21 () (>= -1/1 tptp.eps)) % 0.45/0.64 (define @t22 () (<= tptp.eps -1/1)) % 0.45/0.64 (define @t23 () (not true)) % 0.45/0.64 (define @t24 () (>= 0/1 -1/1)) % 0.45/0.64 (define @t25 () (* -1/1 0/1)) % 0.45/0.64 (define @t26 () (+ -1/1 @t25)) % 0.45/0.64 (define @t27 () (+ tptp.eps @t15)) % 0.45/0.64 (define @t28 () (>= @t27 @t26)) % 0.45/0.64 (define @t29 () (< -1/1 0/1)) % 0.45/0.64 (define @t30 () (and @t18 @t20)) % 0.45/0.64 (define @t31 () (@list true)) % 0.45/0.64 (define @t32 () (>= tptp.eps 1/1)) % 0.45/0.64 (define @t33 () (not @t32)) % 0.45/0.64 (define @t34 () (>= tptp.eps 0/1)) % 0.45/0.64 (define @t35 () (ite @t34 @t33 @t19)) % 0.45/0.64 (define @t36 () (@list true true)) % 0.45/0.64 (define @t37 () (/_total 1/1 @t7)) % 0.45/0.64 (define @t38 () (@div_by_zero 1/1)) % 0.45/0.64 (define @t39 () (= tptp.c -3/1)) % 0.45/0.64 (define @t40 () (ite @t39 @t38 @t37)) % 0.45/0.64 (define @t41 () (@purify @t40)) % 0.45/0.64 (define @t42 () (= @t41 @t40)) % 0.45/0.64 (define @t43 () (= @t7 0/1)) % 0.45/0.64 (define @t44 () (* tptp.eps tptp.n @t8)) % 0.45/0.64 (define @t45 () (* 1/3 @t44)) % 0.45/0.64 (define @t46 () (* tptp.k tptp.x)) % 0.45/0.64 (define @t47 () (* -1/1 @t46)) % 0.45/0.64 (define @t48 () (+ tptp.n @t47 @t45)) % 0.45/0.64 (define @t49 () (>= @t48 0/1)) % 0.45/0.64 (define @t50 () (+ tptp.n @t45)) % 0.45/0.64 (define @t51 () (* tptp.eps @t8)) % 0.45/0.64 (define @t52 () (* 1/3 @t51)) % 0.45/0.64 (define @t53 () (+ 1/1 @t52)) % 0.45/0.64 (define @t54 () (>= @t13 @t2)) % 0.45/0.64 (define @t55 () (+ tptp.n (* -1/2 @t46))) % 0.45/0.64 (define @t56 () (* 1/2 @t46)) % 0.45/0.64 (define @t57 () (>= @t55 0/1)) % 0.45/0.64 (define @t58 () (>= tptp.n @t4)) % 0.45/0.64 (define @t59 () (* tptp.eps tptp.n @t41)) % 0.45/0.64 (define @t60 () (* -1/1 @t59)) % 0.45/0.64 (define @t61 () (+ tptp.n @t60)) % 0.45/0.64 (define @t62 () (>= @t61 0/1)) % 0.45/0.64 (define @t63 () (not @t62)) % 0.45/0.64 (define @t64 () (not @t1)) % 0.45/0.64 (define @t65 () (* 1/3 @t59)) % 0.45/0.64 (define @t66 () (+ tptp.n @t47 @t65)) % 0.45/0.64 (define @t67 () (>= @t66 0/1)) % 0.45/0.64 (define @t68 () (not @t67)) % 0.45/0.64 (define @t69 () (not @t57)) % 0.45/0.64 (define @t70 () (not @t69)) % 0.45/0.64 (define @t71 () (>= 0/1 0/1)) % 0.45/0.64 (define @t72 () (+ 0/1 0/1 0/1 0/1)) % 0.45/0.64 (define @t73 () (* -2/1 0/1)) % 0.45/0.64 (define @t74 () (* 6/1 0/1)) % 0.45/0.64 (define @t75 () (* -3/1 0/1)) % 0.45/0.64 (define @t76 () (+ @t25 @t75 @t74 @t73)) % 0.45/0.64 (define @t77 () (* -2/1 tptp.n)) % 0.45/0.64 (define @t78 () (+ (* 6/1 tptp.n) (* -3/1 @t46))) % 0.45/0.64 (define @t79 () (+ (* -3/1 tptp.n) (* 3/1 @t46) @t60)) % 0.45/0.64 (define @t80 () (* -1/1 tptp.n)) % 0.45/0.64 (define @t81 () (+ @t80 @t59)) % 0.45/0.64 (define @t82 () (* 6/1 @t55)) % 0.45/0.64 (define @t83 () (* -3/1 @t66)) % 0.45/0.64 (define @t84 () (* -1/1 @t61)) % 0.45/0.64 (define @t85 () (+ @t84 @t83 @t82 @t77)) % 0.45/0.64 (define @t86 () (>= @t85 @t76)) % 0.45/0.64 (define @t87 () (< @t55 0/1)) % 0.45/0.64 (define @t88 () (< -3/1 0/1)) % 0.45/0.64 (define @t89 () (@list true false false)) % 0.45/0.64 (define @t90 () (@list @t57 @t1 @t67)) % 0.45/0.64 (define @t91 () (>= @t81 0/1)) % 0.45/0.64 (define @t92 () (not @t63)) % 0.45/0.64 (define @t93 () (* -1/1 (- @t81 0/1))) % 0.45/0.64 (define @t94 () (>= 0/1 @t61)) % 0.45/0.64 (define @t95 () (> @t61 0/1)) % 0.45/0.64 (define @t96 () (+ 0/1 0/1)) % 0.45/0.64 (define @t97 () (+ @t25 0/1)) % 0.45/0.64 (define @t98 () (* 0/1 tptp.n)) % 0.45/0.64 (define @t99 () (* 0/1 @t59)) % 0.45/0.64 (define @t100 () (+ @t99 @t98)) % 0.45/0.64 (define @t101 () (+ @t84 @t61)) % 0.45/0.64 (define @t102 () (>= @t101 @t97)) % 0.45/0.64 (define @t103 () (>= @t59 0/1)) % 0.45/0.64 (define @t104 () (not @t103)) % 0.45/0.64 (define @t105 () (* 2/1 0/1)) % 0.45/0.64 (define @t106 () (* 1/3 0/1)) % 0.45/0.64 (define @t107 () (+ @t25 @t25 @t106 @t105)) % 0.45/0.64 (define @t108 () (+ (* 2/1 tptp.n) @t47)) % 0.45/0.64 (define @t109 () (+ @t80 @t46 (* -1/3 @t59))) % 0.45/0.64 (define @t110 () (* 2/1 @t55)) % 0.45/0.64 (define @t111 () (* -1/1 @t66)) % 0.45/0.64 (define @t112 () (+ @t80 @t111 @t65 @t110)) % 0.45/0.64 (define @t113 () (>= @t112 @t107)) % 0.45/0.64 (define @t114 () (and @t69 @t104 @t67 @t1)) % 0.45/0.64 (define @t115 () (+ @t80 @t60)) % 0.45/0.64 (define @t116 () (>= @t115 0/1)) % 0.45/0.64 (define @t117 () (not @t91)) % 0.45/0.64 (define @t118 () (ite @t103 @t117 (not @t116))) % 0.45/0.64 (define @t119 () (not @t118)) % 0.45/0.64 (define @t120 () (@list false false)) % 0.45/0.64 (define @t121 () (+ tptp.n @t59)) % 0.45/0.64 (define @t122 () (>= @t121 0/1)) % 0.45/0.64 (define @t123 () (ite @t1 @t118 (ite @t103 (not @t122) @t63))) % 0.45/0.64 (define @t124 () (not @t123)) % 0.45/0.64 (define @t125 () (@list false true)) % 0.45/0.64 (define @t126 () (- @t59)) % 0.45/0.64 (define @t127 () (- tptp.n)) % 0.45/0.64 (define @t128 () (<= @t127 @t126)) % 0.45/0.64 (define @t129 () (<= @t127 @t59)) % 0.45/0.64 (define @t130 () (ite @t103 (> @t127 @t59) (> @t127 @t126))) % 0.45/0.64 (define @t131 () (<= tptp.n @t126)) % 0.45/0.64 (define @t132 () (>= @t59 tptp.n)) % 0.45/0.64 (define @t133 () (ite @t103 (> tptp.n @t59) (> tptp.n @t126))) % 0.45/0.64 (define @t134 () (ite @t1 @t133 @t130)) % 0.45/0.64 (define @t135 () (= tptp.n 0/1)) % 0.45/0.64 (define @t136 () (not @t135)) % 0.45/0.64 (define @t137 () (- tptp.eps)) % 0.45/0.64 (define @t138 () (- 1/1)) % 0.45/0.64 (define @t139 () (<= @t138 @t137)) % 0.45/0.64 (define @t140 () (<= @t138 tptp.eps)) % 0.45/0.64 (define @t141 () (ite @t34 (> @t138 tptp.eps) (> @t138 @t137))) % 0.45/0.64 (define @t142 () (<= 1/1 @t137)) % 0.45/0.64 (define @t143 () (ite @t34 (> 1/1 tptp.eps) (> 1/1 @t137))) % 0.45/0.64 (define @t144 () (>= 1/1 0/1)) % 0.45/0.64 (define @t145 () (ite @t144 @t143 @t141)) % 0.45/0.64 (define @t146 () (* -1/1 @t41)) % 0.45/0.64 (define @t147 () (>= @t41 1/1)) % 0.45/0.64 (define @t148 () (not @t147)) % 0.45/0.64 (define @t149 () (>= @t41 0/1)) % 0.45/0.64 (define @t150 () (ite @t149 @t148 (not (>= @t146 1/1)))) % 0.45/0.64 (define @t151 () (- @t41)) % 0.45/0.64 (define @t152 () (<= @t138 @t151)) % 0.45/0.64 (define @t153 () (<= @t138 @t41)) % 0.45/0.64 (define @t154 () (ite @t149 (> @t138 @t41) (> @t138 @t151))) % 0.45/0.64 (define @t155 () (<= 1/1 @t151)) % 0.45/0.64 (define @t156 () (ite @t149 (> 1/1 @t41) (> 1/1 @t151))) % 0.45/0.64 (define @t157 () (ite @t144 @t156 @t154)) % 0.45/0.64 (define @t158 () (and @t157 @t145 @t136)) % 0.45/0.64 (define @t159 () (abs @t59)) % 0.45/0.64 (define @t160 () (abs tptp.n)) % 0.45/0.64 (define @t161 () (+ (* -1/1 @t160) @t159)) % 0.45/0.64 (define @t162 () (>= @t159 @t160)) % 0.45/0.64 (define @t163 () (* @t41 tptp.eps tptp.n)) % 0.45/0.64 (define @t164 () (abs @t163)) % 0.45/0.64 (define @t165 () (* 1/1 1/1 tptp.n)) % 0.45/0.64 (define @t166 () (abs @t165)) % 0.45/0.64 (define @t167 () (<= @t166 @t164)) % 0.45/0.64 (define @t168 () (and @t150 @t35 @t136)) % 0.45/0.64 (define @t169 () (not @t168)) % 0.45/0.64 (define @t170 () (= (* tptp.eps 0/1 @t41) 0/1)) % 0.45/0.64 (define @t171 () (= @t59 0/1)) % 0.45/0.64 (define @t172 () (not @t171)) % 0.45/0.64 (define @t173 () (and @t171 @t135 @t63)) % 0.45/0.64 (define @t174 () (= false true)) % 0.45/0.64 (define @t175 () (= tptp.n @t59)) % 0.45/0.64 (define @t176 () (- @t60 @t60)) % 0.45/0.64 (define @t177 () (+ @t60 0/1)) % 0.45/0.64 (define @t178 () (+ @t60 @t80 tptp.n)) % 0.45/0.64 (define @t179 () (+ @t80 @t61)) % 0.45/0.64 (define @t180 () (>= @t179 @t177)) % 0.45/0.64 (define @t181 () (not @t35)) % 0.45/0.64 (define @t182 () (not @t150)) % 0.45/0.64 (define @t183 () (@purify @t37)) % 0.45/0.64 (define @t184 () (>= @t183 0/1)) % 0.45/0.64 (define @t185 () (* -1/1 @t183)) % 0.45/0.64 (define @t186 () (>= @t185 0/1)) % 0.45/0.64 (define @t187 () (>= 0/1 @t183)) % 0.45/0.64 (define @t188 () (<= @t183 0/1)) % 0.45/0.64 (define @t189 () (not @t184)) % 0.45/0.64 (define @t190 () (not @t189)) % 0.45/0.64 (define @t191 () (not @t188)) % 0.45/0.64 (define @t192 () (+ @t185 @t183)) % 0.45/0.64 (define @t193 () (>= @t192 @t97)) % 0.45/0.64 (define @t194 () (> @t183 0/1)) % 0.45/0.64 (define @t195 () (not @t187)) % 0.45/0.64 (define @t196 () (* -1/1 tptp.c)) % 0.45/0.64 (define @t197 () (>= @t196 0/1)) % 0.45/0.64 (define @t198 () (>= 0/1 tptp.c)) % 0.45/0.64 (define @t199 () (not @t197)) % 0.45/0.64 (define @t200 () (and @t199 @t189)) % 0.45/0.64 (define @t201 () (not @t199)) % 0.45/0.64 (define @t202 () (* tptp.c @t183)) % 0.45/0.64 (define @t203 () (and @t5 (< @t183 0/1))) % 0.45/0.64 (define @t204 () (< @t202 0/1)) % 0.45/0.64 (define @t205 () (>= @t202 0/1)) % 0.45/0.64 (define @t206 () (not @t205)) % 0.45/0.64 (define @t207 () (not @t39)) % 0.45/0.64 (define @t208 () (+ -3/1 @t25)) % 0.45/0.64 (define @t209 () (+ tptp.c @t196)) % 0.45/0.64 (define @t210 () (>= @t209 @t208)) % 0.45/0.64 (define @t211 () (* -1/3 @t202)) % 0.45/0.64 (define @t212 () (+ 1/3 @t211)) % 0.45/0.64 (define @t213 () (= @t183 @t212)) % 0.45/0.64 (define @t214 () (- @t183 @t212)) % 0.45/0.64 (define @t215 () (* 3/1 @t183)) % 0.45/0.64 (define @t216 () (+ @t215 @t202)) % 0.45/0.64 (define @t217 () (* @t7 @t183)) % 0.45/0.64 (define @t218 () (= @t217 1/1)) % 0.45/0.64 (define @t219 () (not @t43)) % 0.45/0.64 (define @t220 () (@list @t39)) % 0.45/0.64 (define @t221 () (not @t186)) % 0.45/0.64 (define @t222 () (not @t213)) % 0.45/0.64 (define @t223 () (not @t206)) % 0.45/0.64 (define @t224 () (* 3/1 0/1)) % 0.45/0.64 (define @t225 () (* -3/1 1/3)) % 0.45/0.64 (define @t226 () (+ 0/1 @t225 @t224)) % 0.45/0.64 (define @t227 () (* -1/1 @t202)) % 0.45/0.64 (define @t228 () (+ (* -3/1 @t183) @t227)) % 0.45/0.64 (define @t229 () (* 1/3 @t202)) % 0.45/0.64 (define @t230 () (+ @t183 @t229)) % 0.45/0.64 (define @t231 () (* -3/1 @t230)) % 0.45/0.64 (define @t232 () (+ @t202 @t231 @t215)) % 0.45/0.64 (define @t233 () (>= @t232 @t226)) % 0.45/0.64 (define @t234 () (= @t230 1/3)) % 0.45/0.64 (define @t235 () (= (* -1/3 (- @t230 1/3)) (* -1/3 @t214))) % 0.45/0.64 (define @t236 () (= @t234 @t213)) % 0.45/0.64 (define @t237 () (and @t186 @t213 @t206)) % 0.45/0.64 (define @t238 () (= @t41 @t37)) % 0.45/0.64 (define @t239 () (= @t41 @t38)) % 0.45/0.64 (define @t240 () (= @t40 @t37)) % 0.45/0.64 (define @t241 () (= @t40 @t38)) % 0.45/0.64 (define @t242 () (= @t41 @t183)) % 0.45/0.64 (define @t243 () (not @t242)) % 0.45/0.64 (define @t244 () (not @t149)) % 0.45/0.64 (define @t245 () (+ 0/1 @t25 @t25)) % 0.45/0.64 (define @t246 () (+ @t146 @t183)) % 0.45/0.64 (define @t247 () (+ @t41 @t185)) % 0.45/0.64 (define @t248 () (* -1/1 @t247)) % 0.45/0.64 (define @t249 () (+ @t41 @t248 @t185)) % 0.45/0.64 (define @t250 () (>= @t249 @t245)) % 0.45/0.64 (define @t251 () (= @t247 0/1)) % 0.45/0.64 (define @t252 () (= (* 1/1 (- @t247 0/1)) (* 1/1 (- @t41 @t183)))) % 0.45/0.64 (define @t253 () (= @t251 @t242)) % 0.45/0.64 (define @t254 () (* -1/3 0/1)) % 0.45/0.64 (define @t255 () (* -1/1 1/1)) % 0.45/0.64 (define @t256 () (+ @t255 @t254 1/3 0/1)) % 0.45/0.64 (define @t257 () (+ @t146 @t229 @t185 @t211 @t183 @t41)) % 0.45/0.64 (define @t258 () (+ @t146 @t211 @t230 @t247)) % 0.45/0.64 (define @t259 () (and @t199 @t221)) % 0.45/0.64 (define @t260 () (>= @t227 0/1)) % 0.45/0.64 (define @t261 () (>= 0/1 @t202)) % 0.45/0.64 (define @t262 () (and @t5 @t194)) % 0.45/0.64 (define @t263 () (> @t202 0/1)) % 0.45/0.64 (define @t264 () (not @t260)) % 0.45/0.64 (define @t265 () (+ @t227 @t202)) % 0.45/0.64 (define @t266 () (>= @t265 @t97)) % 0.45/0.64 (define @t267 () (and @t264 @t206)) % 0.45/0.64 (assume @p1 @t1) % 0.45/0.64 (assume @p2 (< tptp.n @t4)) % 0.45/0.64 (assume @p3 @t5) % 0.45/0.64 (assume @p4 @t6) % 0.45/0.64 (assume @p5 (< tptp.eps 1/1)) % 0.45/0.64 (assume @p6 @t14) % 0.45/0.64 (assume @p7 true) % 0.45/0.64 (step @p8 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 tptp.eps)) (* -1/1 (- @t15 0/1))))) % 0.45/0.64 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t17 @t16))) % 0.45/0.64 (step @p10 :rule arith-elim-leq :args (tptp.eps 0/1)) % 0.45/0.64 (step @p11 :rule trans :premises (@p10 @p9)) % 0.45/0.64 (step @p12 :rule cong :premises (@p11) :args ((not (<= tptp.eps 0/1)))) % 0.45/0.64 (step @p13 :rule symm :premises (@p10)) % 0.45/0.64 (step @p14 :rule cong :premises (@p13) :args ((not @t17))) % 0.45/0.64 (step @p15 :rule arith-elim-gt :args (tptp.eps 0/1)) % 0.45/0.64 (step @p16 :rule trans :premises (@p15 @p14)) % 0.45/0.64 (step @p17 :rule trans :premises (@p16 @p12)) % 0.45/0.64 (step @p18 :rule eq_resolve :premises (@p4 @p17)) % 0.45/0.64 (step @p19 :rule refl :args (@t19)) % 0.45/0.64 (step @p20 :rule bool-double-not-elim :args (@t16)) % 0.45/0.64 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t20) @t19))) % 0.45/0.64 (assume-push @p979 @t18) % 0.45/0.64 (assume-push @p980 @t20) % 0.45/0.64 (step @p24 :rule bool-double-not-elim :args (@t18)) % 0.45/0.64 (step @p25 :rule arith_poly_norm :args ((= (* -1/1 (- -1/1 tptp.eps)) (* -1/1 (- @t15 1/1))))) % 0.45/0.64 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t21 @t18))) % 0.45/0.64 (step @p27 :rule arith-elim-leq :args (tptp.eps -1/1)) % 0.45/0.64 (step @p28 :rule trans :premises (@p27 @p26)) % 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:rule arith_poly_norm_rel :premises (@p919) :args ((= @t261 @t260))) % 0.45/0.65 (step @p921 :rule arith-elim-leq :args (@t202 0/1)) % 0.45/0.65 (step @p922 :rule trans :premises (@p921 @p920)) % 0.45/0.65 (step @p923 :rule cong :premises (@p922) :args ((not (<= @t202 0/1)))) % 0.45/0.65 (step @p924 :rule symm :premises (@p921)) % 0.45/0.65 (step @p925 :rule cong :premises (@p924) :args ((not @t261))) % 0.45/0.65 (step @p926 :rule arith-elim-gt :args (@t202 0/1)) % 0.45/0.65 (step @p927 :rule trans :premises (@p926 @p925)) % 0.45/0.65 (step @p928 :rule trans :premises (@p927 @p923)) % 0.45/0.65 (step @p657 :rule cong :premises (@p636) :args (@t191)) % 0.45/0.65 (step @p658 :rule symm :premises (@p635)) % 0.45/0.65 (step @p659 :rule cong :premises (@p658) :args (@t195)) % 0.45/0.65 (step @p660 :rule arith-elim-gt :args (@t183 0/1)) % 0.45/0.65 (step @p661 :rule trans :premises (@p660 @p659)) % 0.45/0.65 (step @p662 :rule trans :premises (@p661 @p657)) % 0.45/0.65 (step @p929 :rule nary_cong :premises (@p685 @p662) :args (@t262)) % 0.45/0.65 (step @p930 :rule cong :premises (@p929 @p928) :args ((=> @t262 @t263))) % 0.45/0.65 (step @p931 :rule arith_mult_sign :args (@t262 @t202)) % 0.45/0.65 (step @p932 :rule eq_resolve :premises (@p931 @p930)) % 0.45/0.65 (step @p933 :rule implies_elim :premises (@p932)) % 0.45/0.65 (step @p934 :rule reordering :premises (@p933) :args ((or @t264 (not @t259)))) % 0.45/0.65 (step @p935 :rule chain_m_resolution :premises (@p934 @p918) :args (@t264 (@list false) (@list @t259))) % 0.45/0.65 (step @p936 :rule bool-double-not-elim :args (@t260)) % 0.45/0.65 (step @p937 :rule nary_cong :premises (@p744 @p936) :args ((or @t223 (not @t264)))) % 0.45/0.65 (assume-push @p1079 @t264) % 0.45/0.65 (assume-push @p1080 @t206) % 0.45/0.65 (step @p940 :rule symm :premises (@p928)) % 0.45/0.65 (step @p941 :rule eq_resolve :premises (@p1079 @p940)) % 0.45/0.65 (step @p942 :rule eq_resolve :premises (@p941 @p927)) % 0.45/0.65 (step @p943 :rule symm :premises (@p922)) % 0.45/0.65 (step @p944 :rule cong :premises (@p928) :args ((not @t263))) % 0.45/0.65 (step @p945 :rule trans :premises (@p944 @p936)) % 0.45/0.65 (step @p946 :rule trans :premises (@p945 @p943)) % 0.45/0.65 (assume-push @p1081 @t263) % 0.45/0.65 (step @p45 :rule evaluate :args (@t23)) % 0.45/0.65 (step @p160 :rule evaluate :args (@t71)) % 0.45/0.65 (step @p233 :rule evaluate :args (@t96)) % 0.45/0.65 (step @p234 :rule refl :args (0/1)) % 0.45/0.65 (step @p48 :rule evaluate :args (@t25)) % 0.45/0.65 (step @p235 :rule nary_cong :premises (@p48 @p234) :args (@t97)) % 0.45/0.65 (step @p236 :rule trans :premises (@p235 @p233)) % 0.45/0.65 (step @p948 :rule arith_poly_norm :args ((= @t265 0/1))) % 0.45/0.65 (step @p949 :rule cong :premises (@p948 @p236) :args (@t266)) % 0.45/0.65 (step @p950 :rule trans :premises (@p949 @p160)) % 0.45/0.65 (step @p951 :rule cong :premises (@p950) :args ((not @t266))) % 0.45/0.65 (step @p952 :rule trans :premises (@p951 @p45)) % 0.45/0.65 (step @p953 :rule arith-elim-lt :args (@t265 @t97)) % 0.45/0.65 (step @p954 :rule trans :premises (@p953 @p952)) % 0.45/0.65 (step @p792 :rule symm :premises (@p694)) % 0.45/0.65 (step @p955 :rule eq_resolve :premises (@p1080 @p792)) % 0.45/0.65 (step @p956 :rule arith_mult_neg :args (-1/1 @t263)) % 0.45/0.65 (step @p60 :rule evaluate :args (@t29)) % 0.45/0.65 (step @p61 :rule true_elim :premises (@p60)) % 0.45/0.65 (step @p957 :rule and_intro :premises (@p61 @p1081)) % 0.45/0.65 (step @p958 :rule modus_ponens :premises (@p957 @p956)) % 0.45/0.65 (step @p959 :rule arith_sum_ub :premises (@p958 @p955)) % 0.45/0.65 (step @p960 false :rule eq_resolve :premises (@p959 @p954)) % 0.45/0.65 (step-pop @p1082 :rule scope :premises (@p960)) % 0.45/0.65 (step @p961 :rule process_scope :premises (@p1082) :args (false)) % 0.45/0.65 (step @p963 :rule eq_resolve :premises (@p961 @p946)) % 0.45/0.65 (step @p964 false :rule contra :premises (@p963 @p942)) % 0.45/0.65 (step-pop @p1083 :rule scope :premises (@p964)) % 0.45/0.65 (step-pop @p1084 :rule scope :premises (@p1083)) % 0.45/0.65 (step @p965 :rule process_scope :premises (@p1084) :args (false)) % 0.45/0.65 (assume-push @p1085 @t206) % 0.45/0.65 (assume-push @p1086 @t264) % 0.45/0.65 (step @p970 :rule and_intro :premises (@p1086 @p1085)) % 0.45/0.65 (step-pop @p1087 :rule scope :premises (@p970)) % 0.45/0.65 (step-pop @p1088 :rule scope :premises (@p1087)) % 0.45/0.65 (step @p971 :rule process_scope :premises (@p1088) :args (@t267)) % 0.45/0.65 (step @p974 :rule implies_elim :premises (@p971)) % 0.45/0.65 (step @p975 :rule resolution :premises (@p974 @p965) :args (true @t267)) % 0.45/0.65 (step @p976 :rule not_and :premises (@p975)) % 0.45/0.65 (step @p977 :rule eq_resolve :premises (@p976 @p937)) % 0.45/0.65 (step @p978 false :rule chain_m_resolution :premises (@p977 @p935 @p910) :args (false @t36 (@list @t260 @t205))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------