%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI765-2 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:08:16 AM UTC 2026 % Result : Unsatisfiable 0.72s 1.02s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI765-2 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n008.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:34:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/1.02 % SZS status Unsatisfiable % 0.72/1.02 % SZS output start Proof % 0.85/1.04 ( % 0.85/1.04 (declare-sort $$unsorted 0) % 0.85/1.04 (declare-const tptp.e (-> $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.d (-> $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.log (-> $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.quot (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.if_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.false $$unsorted) % 0.85/1.04 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.04 (declare-const tptp.zero $$unsorted) % 0.85/1.04 (declare-const tptp.true $$unsorted) % 0.85/1.04 (define @t1 () (@var "Y" $$unsorted)) % 0.85/1.04 (define @t2 () (tptp.le tptp.zero @t1)) % 0.85/1.04 (define @t3 () (@list @t1)) % 0.85/1.04 (define @t4 () (forall @t3 (= @t2 tptp.true))) % 0.85/1.04 (define @t5 () (@var "X" $$unsorted)) % 0.85/1.04 (define @t6 () (tptp.s @t5)) % 0.85/1.04 (define @t7 () (tptp.le @t6 tptp.zero)) % 0.85/1.04 (define @t8 () (@list @t5)) % 0.85/1.04 (define @t9 () (forall @t8 (= @t7 tptp.false))) % 0.85/1.04 (define @t10 () (tptp.s @t1)) % 0.85/1.04 (define @t11 () (@list @t5 @t1)) % 0.85/1.04 (define @t12 () (forall @t11 (= (tptp.le @t6 @t10) (tptp.le @t5 @t1)))) % 0.85/1.04 (define @t13 () (tptp.minus tptp.zero @t1)) % 0.85/1.04 (define @t14 () (forall @t3 (= @t13 tptp.zero))) % 0.85/1.04 (define @t15 () (tptp.if_minus tptp.true @t6 @t1)) % 0.85/1.04 (define @t16 () (forall @t11 (= @t15 tptp.zero))) % 0.85/1.04 (define @t17 () (tptp.minus @t5 @t1)) % 0.85/1.04 (define @t18 () (tptp.quot tptp.zero @t10)) % 0.85/1.04 (define @t19 () (forall @t3 (= @t18 tptp.zero))) % 0.85/1.04 (define @t20 () (tptp.s tptp.zero)) % 0.85/1.04 (define @t21 () (tptp.log @t20)) % 0.85/1.04 (define @t22 () (tptp.s @t20)) % 0.85/1.04 (define @t23 () (tptp.d tptp.zero)) % 0.85/1.04 (define @t24 () (tptp.e tptp.zero)) % 0.85/1.04 (define @t25 () (tptp.e @t5)) % 0.85/1.04 (define @t26 () (tptp.s @t22)) % 0.85/1.04 (define @t27 () (tptp.s @t26)) % 0.85/1.04 (define @t28 () (forall @t8 (not (= (tptp.log @t25) @t27)))) % 0.85/1.04 (define @t29 () (@list tptp.zero)) % 0.85/1.04 (define @t30 () (@list @t20)) % 0.85/1.04 (define @t31 () (@list @t26)) % 0.85/1.04 (define @t32 () (@list @t22)) % 0.85/1.04 (define @t33 () (@list tptp.zero tptp.zero)) % 0.85/1.04 (define @t34 () (@list @t20 tptp.zero)) % 0.85/1.04 (define @t35 () (@list @t26 tptp.zero)) % 0.85/1.04 (define @t36 () (@list @t22 tptp.zero)) % 0.85/1.04 (define @t37 () (@list tptp.zero @t20)) % 0.85/1.04 (define @t38 () (@list @t20 @t20)) % 0.85/1.04 (define @t39 () (tptp.d @t26)) % 0.85/1.04 (define @t40 () (@list @t39)) % 0.85/1.04 (define @t41 () (tptp.s @t39)) % 0.85/1.04 (define @t42 () (@list @t41)) % 0.85/1.04 (define @t43 () (tptp.minus @t20 @t20)) % 0.85/1.04 (define @t44 () (tptp.quot @t43 @t22)) % 0.85/1.04 (define @t45 () (tptp.minus @t27 tptp.zero)) % 0.85/1.04 (define @t46 () (@list @t45)) % 0.85/1.04 (define @t47 () (tptp.d @t41)) % 0.85/1.04 (define @t48 () (tptp.d @t22)) % 0.85/1.04 (define @t49 () (tptp.s @t48)) % 0.85/1.04 (define @t50 () (@list @t49)) % 0.85/1.04 (define @t51 () (tptp.le @t22 @t20)) % 0.85/1.04 (define @t52 () (tptp.le @t20 tptp.zero)) % 0.85/1.04 (define @t53 () (= @t51 @t52)) % 0.85/1.04 (define @t54 () (= @t52 @t51)) % 0.85/1.04 (define @t55 () (@list false)) % 0.85/1.04 (define @t56 () (@list @t12)) % 0.85/1.04 (define @t57 () (@list @t39 tptp.zero)) % 0.85/1.04 (define @t58 () (@list @t41 tptp.zero)) % 0.85/1.04 (define @t59 () (@list @t49 @t20)) % 0.85/1.04 (define @t60 () (tptp.d @t39)) % 0.85/1.04 (define @t61 () (tptp.s @t60)) % 0.85/1.04 (define @t62 () (tptp.le @t26 @t20)) % 0.85/1.04 (define @t63 () (tptp.le @t22 tptp.zero)) % 0.85/1.04 (define @t64 () (= @t62 @t63)) % 0.85/1.04 (define @t65 () (= @t63 @t62)) % 0.85/1.04 (define @t66 () (tptp.quot @t22 @t22)) % 0.85/1.04 (define @t67 () (tptp.s @t66)) % 0.85/1.04 (define @t68 () (tptp.log @t67)) % 0.85/1.04 (define @t69 () (tptp.minus @t66 tptp.zero)) % 0.85/1.04 (define @t70 () (@list @t45 @t20)) % 0.85/1.04 (define @t71 () (@list @t45 tptp.zero)) % 0.85/1.04 (define @t72 () (@list @t47 tptp.zero)) % 0.85/1.04 (define @t73 () (@list @t49 tptp.zero)) % 0.85/1.04 (define @t74 () (tptp.s @t44)) % 0.85/1.04 (define @t75 () (@list @t39 @t74)) % 0.85/1.04 (define @t76 () (tptp.s @t43)) % 0.85/1.04 (define @t77 () (@list @t41 @t76)) % 0.85/1.04 (define @t78 () (tptp.s @t41)) % 0.85/1.04 (define @t79 () (@list @t22 @t20)) % 0.85/1.04 (define @t80 () (@list @t61 @t20)) % 0.85/1.04 (define @t81 () (@list @t26 @t20)) % 0.85/1.04 (define @t82 () (tptp.minus @t78 tptp.zero)) % 0.85/1.04 (define @t83 () (tptp.d @t49)) % 0.85/1.04 (define @t84 () (tptp.s @t83)) % 0.85/1.04 (define @t85 () (tptp.le @t27 @t20)) % 0.85/1.04 (define @t86 () (tptp.le @t26 tptp.zero)) % 0.85/1.04 (define @t87 () (= @t85 @t86)) % 0.85/1.04 (define @t88 () (= @t86 @t85)) % 0.85/1.04 (define @t89 () (tptp.quot @t39 @t22)) % 0.85/1.04 (define @t90 () (tptp.s @t89)) % 0.85/1.04 (define @t91 () (tptp.log @t90)) % 0.85/1.04 (define @t92 () (tptp.s @t47)) % 0.85/1.04 (define @t93 () (tptp.quot @t45 @t22)) % 0.85/1.04 (define @t94 () (tptp.s @t93)) % 0.85/1.04 (define @t95 () (tptp.log @t94)) % 0.85/1.04 (define @t96 () (@list @t60 @t20)) % 0.85/1.04 (define @t97 () (@list @t60 tptp.zero)) % 0.85/1.04 (define @t98 () (@list @t61 tptp.zero)) % 0.85/1.04 (define @t99 () (@list @t78 @t76)) % 0.85/1.04 (define @t100 () (@list @t84 @t20)) % 0.85/1.04 (define @t101 () (tptp.s (tptp.d @t45))) % 0.85/1.04 (define @t102 () (tptp.s @t61)) % 0.85/1.04 (define @t103 () (tptp.le @t102 @t22)) % 0.85/1.04 (define @t104 () (tptp.le @t61 @t20)) % 0.85/1.04 (define @t105 () (= @t103 @t104)) % 0.85/1.04 (define @t106 () (= @t104 @t103)) % 0.85/1.04 (define @t107 () (@list @t83 @t20)) % 0.85/1.04 (define @t108 () (@list @t82 tptp.zero)) % 0.85/1.04 (define @t109 () (@list @t83 tptp.zero)) % 0.85/1.04 (define @t110 () (@list @t84 tptp.zero)) % 0.85/1.04 (define @t111 () (@list @t101 @t20)) % 0.85/1.04 (define @t112 () (tptp.minus @t47 tptp.zero)) % 0.85/1.04 (define @t113 () (tptp.s @t84)) % 0.85/1.04 (define @t114 () (tptp.le @t113 @t20)) % 0.85/1.04 (define @t115 () (tptp.le @t84 tptp.zero)) % 0.85/1.04 (define @t116 () (= @t114 @t115)) % 0.85/1.04 (define @t117 () (= @t115 @t114)) % 0.85/1.04 (define @t118 () (@list @t101 tptp.zero)) % 0.85/1.04 (define @t119 () (tptp.s @t82)) % 0.85/1.04 (define @t120 () (tptp.minus @t60 @t20)) % 0.85/1.04 (define @t121 () (tptp.quot (tptp.quot @t120 @t22) @t22)) % 0.85/1.04 (define @t122 () (tptp.s @t121)) % 0.85/1.04 (define @t123 () (tptp.e @t122)) % 0.85/1.04 (define @t124 () (tptp.log @t123)) % 0.85/1.04 (define @t125 () (not (= @t124 @t27))) % 0.85/1.04 (define @t126 () (= @t27 @t124)) % 0.85/1.04 (define @t127 () (= tptp.zero @t21)) % 0.85/1.04 (define @t128 () (= tptp.zero @t23)) % 0.85/1.04 (define @t129 () (= @t20 @t24)) % 0.85/1.04 (define @t130 () (= tptp.false @t52)) % 0.85/1.04 (define @t131 () (tptp.s @t23)) % 0.85/1.04 (define @t132 () (tptp.s @t131)) % 0.85/1.04 (define @t133 () (tptp.d @t20)) % 0.85/1.04 (define @t134 () (= @t133 @t132)) % 0.85/1.04 (define @t135 () (tptp.d @t24)) % 0.85/1.04 (define @t136 () (tptp.e @t20)) % 0.85/1.04 (define @t137 () (= @t136 @t135)) % 0.85/1.04 (define @t138 () (= tptp.false @t63)) % 0.85/1.04 (define @t139 () (tptp.le @t27 tptp.zero)) % 0.85/1.04 (define @t140 () (= tptp.false @t139)) % 0.85/1.04 (define @t141 () (= tptp.false @t86)) % 0.85/1.04 (define @t142 () (tptp.if_minus @t52 @t20 tptp.zero)) % 0.85/1.04 (define @t143 () (tptp.minus @t20 tptp.zero)) % 0.85/1.04 (define @t144 () (= @t143 @t142)) % 0.85/1.04 (define @t145 () (tptp.quot tptp.zero @t22)) % 0.85/1.04 (define @t146 () (= tptp.zero @t145)) % 0.85/1.04 (define @t147 () (tptp.s @t145)) % 0.85/1.04 (define @t148 () (tptp.log @t147)) % 0.85/1.04 (define @t149 () (tptp.s @t148)) % 0.85/1.04 (define @t150 () (= (tptp.log @t22) @t149)) % 0.85/1.04 (define @t151 () (tptp.quot @t20 @t22)) % 0.85/1.04 (define @t152 () (tptp.s @t151)) % 0.85/1.04 (define @t153 () (tptp.log @t152)) % 0.85/1.04 (define @t154 () (tptp.s @t153)) % 0.85/1.04 (define @t155 () (= (tptp.log @t26) @t154)) % 0.85/1.04 (define @t156 () (tptp.s @t68)) % 0.85/1.04 (define @t157 () (= (tptp.log @t27) @t156)) % 0.85/1.04 (define @t158 () (tptp.s @t133)) % 0.85/1.04 (define @t159 () (tptp.s @t158)) % 0.85/1.04 (define @t160 () (= @t48 @t159)) % 0.85/1.04 (define @t161 () (tptp.d @t136)) % 0.85/1.04 (define @t162 () (tptp.e @t22)) % 0.85/1.04 (define @t163 () (= @t162 @t161)) % 0.85/1.04 (define @t164 () (tptp.e @t26)) % 0.85/1.04 (define @t165 () (tptp.d @t164)) % 0.85/1.04 (define @t166 () (tptp.e @t27)) % 0.85/1.04 (define @t167 () (= @t166 @t165)) % 0.85/1.04 (define @t168 () (tptp.d @t162)) % 0.85/1.04 (define @t169 () (= @t164 @t168)) % 0.85/1.04 (define @t170 () (tptp.if_minus @t63 @t22 tptp.zero)) % 0.85/1.04 (define @t171 () (tptp.minus @t22 tptp.zero)) % 0.85/1.04 (define @t172 () (= @t171 @t170)) % 0.85/1.04 (define @t173 () (tptp.if_minus @t139 @t27 tptp.zero)) % 0.85/1.04 (define @t174 () (= @t45 @t173)) % 0.85/1.04 (define @t175 () (tptp.if_minus @t86 @t26 tptp.zero)) % 0.85/1.04 (define @t176 () (tptp.minus @t26 tptp.zero)) % 0.85/1.04 (define @t177 () (= @t176 @t175)) % 0.85/1.04 (define @t178 () (tptp.minus tptp.zero tptp.zero)) % 0.85/1.04 (define @t179 () (tptp.s @t178)) % 0.85/1.04 (define @t180 () (= (tptp.if_minus tptp.false @t20 tptp.zero) @t179)) % 0.85/1.04 (define @t181 () (tptp.s @t143)) % 0.85/1.04 (define @t182 () (= (tptp.if_minus tptp.false @t22 tptp.zero) @t181)) % 0.85/1.04 (define @t183 () (tptp.minus tptp.zero @t20)) % 0.85/1.04 (define @t184 () (tptp.quot @t183 @t22)) % 0.85/1.04 (define @t185 () (tptp.s @t184)) % 0.85/1.04 (define @t186 () (= @t151 @t185)) % 0.85/1.04 (define @t187 () (= @t66 @t74)) % 0.85/1.04 (define @t188 () (tptp.d @t27)) % 0.85/1.04 (define @t189 () (= @t188 @t78)) % 0.85/1.04 (define @t190 () (tptp.le @t41 tptp.zero)) % 0.85/1.04 (define @t191 () (= tptp.false @t190)) % 0.85/1.04 (define @t192 () (tptp.le @t78 tptp.zero)) % 0.85/1.04 (define @t193 () (= tptp.false @t192)) % 0.85/1.04 (define @t194 () (tptp.le tptp.zero tptp.zero)) % 0.85/1.04 (define @t195 () (tptp.le @t20 @t20)) % 0.85/1.04 (define @t196 () (= @t195 @t194)) % 0.85/1.04 (define @t197 () (= tptp.zero @t178)) % 0.85/1.04 (define @t198 () (= tptp.zero @t183)) % 0.85/1.04 (define @t199 () (tptp.if_minus @t195 @t20 @t20)) % 0.85/1.04 (define @t200 () (= @t43 @t199)) % 0.85/1.04 (define @t201 () (tptp.s @t176)) % 0.85/1.04 (define @t202 () (= (tptp.if_minus tptp.false @t27 tptp.zero) @t201)) % 0.85/1.04 (define @t203 () (tptp.s @t171)) % 0.85/1.04 (define @t204 () (= (tptp.if_minus tptp.false @t26 tptp.zero) @t203)) % 0.85/1.04 (define @t205 () (= (tptp.if_minus tptp.false @t22 @t20) @t76)) % 0.85/1.04 (define @t206 () (tptp.s @t45)) % 0.85/1.04 (define @t207 () (tptp.s @t27)) % 0.85/1.04 (define @t208 () (= (tptp.if_minus tptp.false @t207 tptp.zero) @t206)) % 0.85/1.04 (define @t209 () (tptp.s (tptp.log (tptp.s (tptp.quot @t44 @t22))))) % 0.85/1.04 (define @t210 () (tptp.s @t74)) % 0.85/1.04 (define @t211 () (tptp.log @t210)) % 0.85/1.04 (define @t212 () (= @t211 @t209)) % 0.85/1.04 (define @t213 () (tptp.s @t91)) % 0.85/1.04 (define @t214 () (tptp.log @t78)) % 0.85/1.04 (define @t215 () (= @t214 @t213)) % 0.85/1.04 (define @t216 () (tptp.s @t92)) % 0.85/1.04 (define @t217 () (tptp.d @t78)) % 0.85/1.04 (define @t218 () (= @t217 @t216)) % 0.85/1.04 (define @t219 () (tptp.s @t49)) % 0.85/1.04 (define @t220 () (= @t39 @t219)) % 0.85/1.04 (define @t221 () (= tptp.true @t194)) % 0.85/1.04 (define @t222 () (tptp.le @t206 tptp.zero)) % 0.85/1.04 (define @t223 () (= tptp.false @t222)) % 0.85/1.04 (define @t224 () (tptp.le @t92 tptp.zero)) % 0.85/1.04 (define @t225 () (= tptp.false @t224)) % 0.85/1.04 (define @t226 () (tptp.le @t219 tptp.zero)) % 0.85/1.04 (define @t227 () (= tptp.false @t226)) % 0.85/1.04 (define @t228 () (tptp.le @t41 @t74)) % 0.85/1.04 (define @t229 () (= @t228 (tptp.le @t39 @t44))) % 0.85/1.04 (define @t230 () (tptp.le @t78 @t76)) % 0.85/1.04 (define @t231 () (= @t230 (tptp.le @t41 @t43))) % 0.85/1.04 (define @t232 () (tptp.if_minus @t190 @t41 tptp.zero)) % 0.85/1.04 (define @t233 () (tptp.minus @t41 tptp.zero)) % 0.85/1.04 (define @t234 () (= @t233 @t232)) % 0.85/1.04 (define @t235 () (tptp.if_minus @t192 @t78 tptp.zero)) % 0.85/1.04 (define @t236 () (= @t82 @t235)) % 0.85/1.04 (define @t237 () (tptp.minus @t49 @t20)) % 0.85/1.04 (define @t238 () (tptp.s (tptp.quot @t237 @t22))) % 0.85/1.04 (define @t239 () (tptp.quot @t219 @t22)) % 0.85/1.04 (define @t240 () (= @t239 @t238)) % 0.85/1.04 (define @t241 () (= @t47 @t102)) % 0.85/1.04 (define @t242 () (tptp.le @t61 tptp.zero)) % 0.85/1.04 (define @t243 () (= tptp.false @t242)) % 0.85/1.04 (define @t244 () (tptp.le @t102 tptp.zero)) % 0.85/1.04 (define @t245 () (= tptp.false @t244)) % 0.85/1.04 (define @t246 () (tptp.le @t39 @t68)) % 0.85/1.04 (define @t247 () (= (tptp.le @t41 @t156) @t246)) % 0.85/1.04 (define @t248 () (tptp.le @t49 @t69)) % 0.85/1.04 (define @t249 () (= (tptp.le @t219 (tptp.s @t69)) @t248)) % 0.85/1.04 (define @t250 () (tptp.le @t206 @t20)) % 0.85/1.04 (define @t251 () (tptp.minus @t206 @t20)) % 0.85/1.04 (define @t252 () (= @t251 (tptp.if_minus @t250 @t206 @t20))) % 0.85/1.04 (define @t253 () (tptp.if_minus @t222 @t206 tptp.zero)) % 0.85/1.04 (define @t254 () (= (tptp.minus @t206 tptp.zero) @t253)) % 0.85/1.04 (define @t255 () (tptp.if_minus @t224 @t92 tptp.zero)) % 0.85/1.04 (define @t256 () (tptp.minus @t92 tptp.zero)) % 0.85/1.04 (define @t257 () (= @t256 @t255)) % 0.85/1.04 (define @t258 () (tptp.if_minus @t226 @t219 tptp.zero)) % 0.85/1.04 (define @t259 () (= (tptp.minus @t219 tptp.zero) @t258)) % 0.85/1.04 (define @t260 () (tptp.if_minus @t51 @t22 @t20)) % 0.85/1.04 (define @t261 () (tptp.minus @t22 @t20)) % 0.85/1.04 (define @t262 () (= @t261 @t260)) % 0.85/1.04 (define @t263 () (tptp.minus @t41 @t74)) % 0.85/1.04 (define @t264 () (= @t263 (tptp.if_minus @t228 @t41 @t74))) % 0.85/1.04 (define @t265 () (tptp.minus @t78 @t76)) % 0.85/1.04 (define @t266 () (= @t265 (tptp.if_minus @t230 @t78 @t76))) % 0.85/1.04 (define @t267 () (= tptp.zero (tptp.if_minus tptp.true @t20 @t20))) % 0.85/1.04 (define @t268 () (tptp.minus @t39 tptp.zero)) % 0.85/1.04 (define @t269 () (tptp.s @t268)) % 0.85/1.04 (define @t270 () (= (tptp.if_minus tptp.false @t41 tptp.zero) @t269)) % 0.85/1.04 (define @t271 () (tptp.s @t233)) % 0.85/1.04 (define @t272 () (= (tptp.if_minus tptp.false @t78 tptp.zero) @t271)) % 0.85/1.04 (define @t273 () (tptp.s @t78)) % 0.85/1.04 (define @t274 () (= (tptp.if_minus tptp.false @t273 tptp.zero) @t119)) % 0.85/1.04 (define @t275 () (tptp.if_minus tptp.false @t219 @t20)) % 0.85/1.04 (define @t276 () (= @t275 (tptp.s @t237))) % 0.85/1.04 (define @t277 () (tptp.minus @t45 @t20)) % 0.85/1.04 (define @t278 () (tptp.quot @t206 @t22)) % 0.85/1.04 (define @t279 () (= @t278 (tptp.s (tptp.quot @t277 @t22)))) % 0.85/1.04 (define @t280 () (tptp.quot @t26 @t22)) % 0.85/1.04 (define @t281 () (= @t280 (tptp.s (tptp.quot @t261 @t22)))) % 0.85/1.04 (define @t282 () (tptp.minus @t61 @t20)) % 0.85/1.04 (define @t283 () (tptp.s (tptp.quot @t282 @t22))) % 0.85/1.04 (define @t284 () (tptp.quot @t102 @t22)) % 0.85/1.04 (define @t285 () (= @t284 @t283)) % 0.85/1.04 (define @t286 () (tptp.minus @t26 @t20)) % 0.85/1.04 (define @t287 () (tptp.quot @t286 @t22)) % 0.85/1.04 (define @t288 () (tptp.s @t287)) % 0.85/1.04 (define @t289 () (= (tptp.quot @t27 @t22) @t288)) % 0.85/1.04 (define @t290 () (tptp.d @t219)) % 0.85/1.04 (define @t291 () (= @t290 @t113)) % 0.85/1.04 (define @t292 () (tptp.le @t273 tptp.zero)) % 0.85/1.04 (define @t293 () (= tptp.false @t292)) % 0.85/1.04 (define @t294 () (tptp.le @t119 tptp.zero)) % 0.85/1.04 (define @t295 () (= tptp.false @t294)) % 0.85/1.04 (define @t296 () (= tptp.false @t115)) % 0.85/1.04 (define @t297 () (tptp.le @t113 tptp.zero)) % 0.85/1.04 (define @t298 () (= tptp.false @t297)) % 0.85/1.04 (define @t299 () (tptp.le @t219 @t20)) % 0.85/1.04 (define @t300 () (= @t299 (tptp.le @t49 tptp.zero))) % 0.85/1.04 (define @t301 () (= @t250 (tptp.le @t45 tptp.zero))) % 0.85/1.04 (define @t302 () (tptp.le @t47 @t91)) % 0.85/1.04 (define @t303 () (= (tptp.le @t92 @t213) @t302)) % 0.85/1.04 (define @t304 () (tptp.le @t92 @t49)) % 0.85/1.04 (define @t305 () (= (tptp.le @t216 @t219) @t304)) % 0.85/1.04 (define @t306 () (tptp.le @t60 @t95)) % 0.85/1.04 (define @t307 () (= (tptp.le @t61 (tptp.s @t95)) @t306)) % 0.85/1.04 (define @t308 () (tptp.minus @t27 @t20)) % 0.85/1.04 (define @t309 () (= @t308 (tptp.if_minus @t85 @t27 @t20))) % 0.85/1.04 (define @t310 () (= @t282 (tptp.if_minus @t104 @t61 @t20))) % 0.85/1.04 (define @t311 () (tptp.if_minus @t62 @t26 @t20)) % 0.85/1.04 (define @t312 () (= @t286 @t311)) % 0.85/1.04 (define @t313 () (tptp.if_minus @t242 @t61 tptp.zero)) % 0.85/1.04 (define @t314 () (tptp.minus @t61 tptp.zero)) % 0.85/1.04 (define @t315 () (= @t314 @t313)) % 0.85/1.04 (define @t316 () (tptp.if_minus @t244 @t102 tptp.zero)) % 0.85/1.04 (define @t317 () (= (tptp.minus @t102 tptp.zero) @t316)) % 0.85/1.04 (define @t318 () (tptp.minus @t219 @t68)) % 0.85/1.04 (define @t319 () (= @t318 (tptp.if_minus (tptp.le @t219 @t68) @t219 @t68))) % 0.85/1.04 (define @t320 () (tptp.s @t112)) % 0.85/1.04 (define @t321 () (= (tptp.if_minus tptp.false @t92 tptp.zero) @t320)) % 0.85/1.04 (define @t322 () (tptp.minus @t49 tptp.zero)) % 0.85/1.04 (define @t323 () (tptp.s @t322)) % 0.85/1.04 (define @t324 () (= (tptp.if_minus tptp.false @t219 tptp.zero) @t323)) % 0.85/1.04 (define @t325 () (tptp.if_minus tptp.false @t41 @t74)) % 0.85/1.04 (define @t326 () (= @t325 (tptp.s (tptp.minus @t39 @t74)))) % 0.85/1.04 (define @t327 () (tptp.if_minus tptp.false @t78 @t76)) % 0.85/1.04 (define @t328 () (= @t327 (tptp.s (tptp.minus @t41 @t76)))) % 0.85/1.04 (define @t329 () (tptp.s @t261)) % 0.85/1.04 (define @t330 () (= (tptp.if_minus tptp.false @t26 @t20) @t329)) % 0.85/1.04 (define @t331 () (tptp.if_minus tptp.false @t206 @t20)) % 0.85/1.04 (define @t332 () (= @t331 (tptp.s @t277))) % 0.85/1.04 (define @t333 () (tptp.if_minus tptp.false @t273 @t76)) % 0.85/1.04 (define @t334 () (= @t333 (tptp.s @t265))) % 0.85/1.04 (define @t335 () (tptp.if_minus tptp.false @t27 @t20)) % 0.85/1.04 (define @t336 () (= @t335 (tptp.s @t286))) % 0.85/1.04 (define @t337 () (tptp.minus @t84 @t20)) % 0.85/1.04 (define @t338 () (tptp.quot @t113 @t22)) % 0.85/1.04 (define @t339 () (= @t338 (tptp.s (tptp.quot @t337 @t22)))) % 0.85/1.04 (define @t340 () (tptp.s @t76)) % 0.85/1.04 (define @t341 () (tptp.quot @t273 @t340)) % 0.85/1.04 (define @t342 () (= @t341 (tptp.s (tptp.quot @t265 @t340)))) % 0.85/1.04 (define @t343 () (tptp.quot @t78 @t210)) % 0.85/1.04 (define @t344 () (= @t343 (tptp.s (tptp.quot @t263 @t210)))) % 0.85/1.04 (define @t345 () (tptp.s @t101)) % 0.85/1.04 (define @t346 () (tptp.d @t206)) % 0.85/1.04 (define @t347 () (= @t346 @t345)) % 0.85/1.04 (define @t348 () (tptp.le @t345 tptp.zero)) % 0.85/1.04 (define @t349 () (= tptp.false @t348)) % 0.85/1.04 (define @t350 () (tptp.le @t47 @t45)) % 0.85/1.04 (define @t351 () (= (tptp.le @t92 @t206) @t350)) % 0.85/1.04 (define @t352 () (tptp.le @t84 @t20)) % 0.85/1.04 (define @t353 () (= (tptp.le @t113 @t22) @t352)) % 0.85/1.04 (define @t354 () (= @t104 (tptp.le @t60 tptp.zero))) % 0.85/1.04 (define @t355 () (tptp.minus @t113 @t20)) % 0.85/1.04 (define @t356 () (= @t355 (tptp.if_minus @t114 @t113 @t20))) % 0.85/1.04 (define @t357 () (= @t337 (tptp.if_minus @t352 @t84 @t20))) % 0.85/1.04 (define @t358 () (tptp.if_minus @t294 @t119 tptp.zero)) % 0.85/1.04 (define @t359 () (tptp.minus @t119 tptp.zero)) % 0.85/1.04 (define @t360 () (= @t359 @t358)) % 0.85/1.04 (define @t361 () (tptp.if_minus @t115 @t84 tptp.zero)) % 0.85/1.04 (define @t362 () (tptp.minus @t84 tptp.zero)) % 0.85/1.04 (define @t363 () (= @t362 @t361)) % 0.85/1.04 (define @t364 () (tptp.if_minus @t297 @t113 tptp.zero)) % 0.85/1.04 (define @t365 () (= (tptp.minus @t113 tptp.zero) @t364)) % 0.85/1.04 (define @t366 () (tptp.minus @t60 tptp.zero)) % 0.85/1.04 (define @t367 () (tptp.s @t366)) % 0.85/1.04 (define @t368 () (= (tptp.if_minus tptp.false @t61 tptp.zero) @t367)) % 0.85/1.04 (define @t369 () (tptp.s @t314)) % 0.85/1.04 (define @t370 () (= (tptp.if_minus tptp.false @t102 tptp.zero) @t369)) % 0.85/1.04 (define @t371 () (tptp.s @t120)) % 0.85/1.04 (define @t372 () (tptp.if_minus tptp.false @t61 @t20)) % 0.85/1.04 (define @t373 () (= @t372 @t371)) % 0.85/1.04 (define @t374 () (tptp.s @t337)) % 0.85/1.04 (define @t375 () (tptp.if_minus tptp.false @t113 @t20)) % 0.85/1.04 (define @t376 () (= @t375 @t374)) % 0.85/1.04 (define @t377 () (tptp.quot @t41 @t22)) % 0.85/1.04 (define @t378 () (= @t377 (tptp.s (tptp.quot (tptp.minus @t39 @t20) @t22)))) % 0.85/1.04 (define @t379 () (tptp.minus @t83 @t20)) % 0.85/1.04 (define @t380 () (tptp.quot @t84 @t22)) % 0.85/1.04 (define @t381 () (= @t380 (tptp.s (tptp.quot @t379 @t22)))) % 0.85/1.04 (define @t382 () (tptp.minus @t101 @t20)) % 0.85/1.04 (define @t383 () (tptp.quot @t345 @t22)) % 0.85/1.04 (define @t384 () (= @t383 (tptp.s (tptp.quot @t382 @t22)))) % 0.85/1.04 (define @t385 () (tptp.s @t320)) % 0.85/1.04 (define @t386 () (tptp.log @t385)) % 0.85/1.04 (define @t387 () (= @t386 (tptp.s (tptp.log (tptp.s (tptp.quot @t112 @t22)))))) % 0.85/1.04 (define @t388 () (tptp.le @t61 @t26)) % 0.85/1.04 (define @t389 () (= (tptp.le @t102 @t27) @t388)) % 0.85/1.04 (define @t390 () (= @t352 (tptp.le @t83 tptp.zero))) % 0.85/1.04 (define @t391 () (tptp.le @t345 @t20)) % 0.85/1.04 (define @t392 () (tptp.minus @t345 @t20)) % 0.85/1.04 (define @t393 () (= @t392 (tptp.if_minus @t391 @t345 @t20))) % 0.85/1.04 (define @t394 () (tptp.le @t119 @t20)) % 0.85/1.04 (define @t395 () (tptp.minus @t119 @t20)) % 0.85/1.04 (define @t396 () (= @t395 (tptp.if_minus @t394 @t119 @t20))) % 0.85/1.04 (define @t397 () (tptp.if_minus @t348 @t345 tptp.zero)) % 0.85/1.04 (define @t398 () (= (tptp.minus @t345 tptp.zero) @t397)) % 0.85/1.04 (define @t399 () (tptp.minus @t83 tptp.zero)) % 0.85/1.04 (define @t400 () (tptp.s @t399)) % 0.85/1.04 (define @t401 () (= (tptp.if_minus tptp.false @t84 tptp.zero) @t400)) % 0.85/1.04 (define @t402 () (tptp.s @t362)) % 0.85/1.04 (define @t403 () (= (tptp.if_minus tptp.false @t113 tptp.zero) @t402)) % 0.85/1.04 (define @t404 () (tptp.s @t359)) % 0.85/1.04 (define @t405 () (= (tptp.if_minus tptp.false (tptp.s @t119) tptp.zero) @t404)) % 0.85/1.04 (define @t406 () (tptp.s @t382)) % 0.85/1.04 (define @t407 () (tptp.if_minus tptp.false @t345 @t20)) % 0.85/1.04 (define @t408 () (= @t407 @t406)) % 0.85/1.04 (define @t409 () (tptp.s @t379)) % 0.85/1.04 (define @t410 () (tptp.if_minus tptp.false @t84 @t20)) % 0.85/1.04 (define @t411 () (= @t410 @t409)) % 0.85/1.04 (define @t412 () (= @t123 (tptp.d (tptp.e @t121)))) % 0.85/1.04 (define @t413 () (= @t391 (tptp.le @t101 tptp.zero))) % 0.85/1.04 (define @t414 () (= @t394 (tptp.le @t82 tptp.zero))) % 0.85/1.04 (define @t415 () (tptp.s @t185)) % 0.85/1.04 (define @t416 () (tptp.s @t288)) % 0.85/1.04 (define @t417 () (tptp.quot @t233 @t22)) % 0.85/1.04 (define @t418 () (tptp.quot @t47 @t22)) % 0.85/1.04 (define @t419 () (tptp.s @t418)) % 0.85/1.04 (define @t420 () (tptp.s @t283)) % 0.85/1.04 (define @t421 () (tptp.s @t238)) % 0.85/1.04 (define @t422 () (tptp.quot @t268 @t22)) % 0.85/1.04 (define @t423 () (tptp.s @t422)) % 0.85/1.04 (define @t424 () (tptp.log @t423)) % 0.85/1.04 (define @t425 () (and @t127 @t128 @t129 @t130 @t134 @t137 @t138 @t140 @t141 @t144 @t146 @t150 @t155 @t157 @t160 @t163 @t167 @t169 @t172 @t174 @t177 @t180 @t182 @t186 @t187 @t189 @t191 @t193 @t196 @t197 @t198 @t200 @t202 @t204 @t205 @t208 @t212 @t215 @t218 @t220 @t221 @t223 @t225 @t227 @t54 @t229 @t231 @t234 @t236 @t240 @t241 @t243 @t245 @t65 @t247 @t249 @t252 @t254 @t257 @t259 @t262 @t264 @t266 @t267 @t270 @t272 @t274 @t276 @t279 @t281 @t285 @t289 @t291 @t293 @t295 @t296 @t298 @t300 @t301 @t88 @t303 @t305 @t307 @t309 @t310 @t312 @t315 @t317 @t319 @t321 @t324 @t326 @t328 @t330 @t332 @t334 @t336 @t339 @t342 @t344 @t347 @t349 @t106 @t351 @t353 @t354 @t356 @t357 @t360 @t363 @t365 @t368 @t370 @t373 @t376 @t378 @t381 @t384 @t387 @t389 @t390 @t117 @t393 @t396 @t398 @t401 @t403 @t405 @t408 @t411 @t412 @t413 @t414)) % 0.85/1.04 (assume @p1 @t4) % 0.85/1.04 (assume @p2 @t9) % 0.85/1.04 (assume @p3 @t12) % 0.85/1.04 (assume @p4 @t14) % 0.85/1.04 (assume @p5 (forall @t11 (= (tptp.minus @t6 @t1) (tptp.if_minus (tptp.le @t6 @t1) @t6 @t1)))) % 0.85/1.04 (assume @p6 @t16) % 0.85/1.04 (assume @p7 (forall @t11 (= (tptp.if_minus tptp.false @t6 @t1) (tptp.s @t17)))) % 0.85/1.04 (assume @p8 @t19) % 0.85/1.04 (assume @p9 (forall @t11 (= (tptp.quot @t6 @t10) (tptp.s (tptp.quot @t17 @t10))))) % 0.85/1.04 (assume @p10 (= @t21 tptp.zero)) % 0.85/1.04 (assume @p11 (forall @t8 (= (tptp.log (tptp.s @t6)) (tptp.s (tptp.log (tptp.s (tptp.quot @t5 @t22))))))) % 0.85/1.04 (assume @p12 (= @t23 tptp.zero)) % 0.85/1.04 (assume @p13 (forall @t8 (= (tptp.d @t6) (tptp.s (tptp.s (tptp.d @t5)))))) % 0.85/1.04 (assume @p14 (= @t24 @t20)) % 0.85/1.04 (assume @p15 (forall @t8 (= (tptp.e @t6) (tptp.d @t25)))) % 0.85/1.04 (assume @p16 @t28) % 0.85/1.04 (step @p17 :rule symm :premises (@p10)) % 0.85/1.04 (step @p18 :rule symm :premises (@p12)) % 0.85/1.04 (step @p19 :rule symm :premises (@p14)) % 0.85/1.04 (step @p20 :rule eq-symm :args (@t7 tptp.false)) % 0.85/1.04 (step @p21 :rule cong :premises (@p20) :args (@t9)) % 0.85/1.04 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.85/1.04 (step @p23 :rule instantiate :premises (@p22) :args (@t29)) % 0.85/1.04 (step @p24 :rule instantiate :premises (@p13) :args (@t29)) % 0.85/1.04 (step @p25 :rule instantiate :premises (@p15) :args (@t29)) % 0.85/1.04 (step @p26 :rule instantiate :premises (@p22) :args (@t30)) % 0.85/1.04 (step @p27 :rule instantiate :premises (@p22) :args (@t31)) % 0.85/1.04 (step @p28 :rule instantiate :premises (@p22) :args (@t32)) % 0.85/1.04 (step @p29 :rule instantiate :premises (@p5) :args (@t33)) % 0.85/1.04 (step @p30 :rule eq-symm :args (@t18 tptp.zero)) % 0.85/1.04 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 0.85/1.04 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 0.85/1.04 (step @p33 :rule instantiate :premises (@p32) :args (@t30)) % 0.85/1.04 (step @p34 :rule instantiate :premises (@p11) :args (@t29)) % 0.85/1.04 (step @p35 :rule instantiate :premises (@p11) :args (@t30)) % 0.85/1.04 (step @p36 :rule instantiate :premises (@p11) :args (@t32)) % 0.85/1.04 (step @p37 :rule instantiate :premises (@p13) :args (@t30)) % 0.85/1.04 (step @p38 :rule instantiate :premises (@p15) :args (@t30)) % 0.85/1.04 (step @p39 :rule instantiate :premises (@p15) :args (@t31)) % 0.85/1.04 (step @p40 :rule instantiate :premises (@p15) :args (@t32)) % 0.85/1.04 (step @p41 :rule instantiate :premises (@p5) :args (@t34)) % 0.85/1.04 (step @p42 :rule instantiate :premises (@p5) :args (@t35)) % 0.85/1.04 (step @p43 :rule instantiate :premises (@p5) :args (@t36)) % 0.85/1.04 (step @p44 :rule instantiate :premises (@p7) :args (@t33)) % 0.85/1.04 (step @p45 :rule instantiate :premises (@p7) :args (@t34)) % 0.85/1.04 (step @p46 :rule instantiate :premises (@p9) :args (@t37)) % 0.85/1.04 (step @p47 :rule instantiate :premises (@p9) :args (@t38)) % 0.85/1.04 (step @p48 :rule instantiate :premises (@p13) :args (@t31)) % 0.85/1.04 (step @p49 :rule instantiate :premises (@p22) :args (@t40)) % 0.85/1.04 (step @p50 :rule instantiate :premises (@p22) :args (@t42)) % 0.85/1.04 (step @p51 :rule instantiate :premises (@p3) :args (@t33)) % 0.85/1.04 (step @p52 :rule eq-symm :args (@t13 tptp.zero)) % 0.85/1.04 (step @p53 :rule cong :premises (@p52) :args (@t14)) % 0.85/1.04 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.85/1.04 (step @p55 :rule instantiate :premises (@p54) :args (@t29)) % 0.85/1.04 (step @p56 :rule instantiate :premises (@p54) :args (@t30)) % 0.85/1.04 (step @p57 :rule instantiate :premises (@p5) :args (@t37)) % 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(not @t117) (not @t393) (not @t396) (not @t398) (not @t401) (not @t403) (not @t405) (not @t408) (not @t411) (not @t412) @t126 (not @t413) (not @t414)))) % 0.85/1.04 (step @p1006 false :rule chain_m_resolution :premises (@p1005 @p216 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p72 @p71 @p70 @p69 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p19 @p18 @p17) :args (false (@list true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t126 @t414 @t413 @t412 @t411 @t408 @t405 @t403 @t401 @t398 @t396 @t393 @t117 @t390 @t389 @t387 @t384 @t381 @t378 @t376 @t373 @t370 @t368 @t365 @t363 @t360 @t357 @t356 @t354 @t353 @t351 @t106 @t349 @t347 @t344 @t342 @t339 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t321 @t319 @t317 @t315 @t312 @t310 @t309 @t307 @t305 @t303 @t88 @t301 @t300 @t298 @t296 @t295 @t293 @t291 @t289 @t285 @t281 @t279 @t276 @t274 @t272 @t270 @t267 @t266 @t264 @t262 @t259 @t257 @t254 @t252 @t249 @t247 @t65 @t245 @t243 @t241 @t240 @t236 @t234 @t231 @t229 @t54 @t227 @t225 @t223 @t221 @t220 @t218 @t215 @t212 @t208 @t205 @t204 @t202 @t200 @t198 @t197 @t196 @t193 @t191 @t189 @t187 @t186 @t182 @t180 @t177 @t174 @t172 @t169 @t167 @t163 @t160 @t157 @t155 @t150 @t146 @t144 @t141 @t140 @t138 @t137 @t134 @t130 @t129 @t128 @t127))) % 0.85/1.04 ) % 0.85/1.04 % SZS output end Proof % 0.85/1.04 % cvc5 exiting %------------------------------------------------------------------------------