%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT436-2 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:14:53 AM UTC 2026 % Result : Unsatisfiable 5.97s 6.16s % Output : Proof 5.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT436-2 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 22:34:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.97/6.16 % SZS status Unsatisfiable % 5.97/6.16 % SZS output start Proof % 5.97/6.18 ( % 5.97/6.18 (declare-sort $$unsorted 0) % 5.97/6.18 (declare-const tptp.replace (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.zero $$unsorted) % 5.97/6.18 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.ifselsort (-> $$unsorted $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.min (-> $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.nil $$unsorted) % 5.97/6.18 (declare-const tptp.ifmin (-> $$unsorted $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.ifrepl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.97/6.18 (declare-const tptp.true $$unsorted) % 5.97/6.18 (declare-const tptp.false $$unsorted) % 5.97/6.18 (declare-const tptp.selsort (-> $$unsorted $$unsorted)) % 5.97/6.18 (define @t1 () (tptp.eq tptp.zero tptp.zero)) % 5.97/6.18 (define @t2 () (@var "Y" $$unsorted)) % 5.97/6.18 (define @t3 () (tptp.s @t2)) % 5.97/6.18 (define @t4 () (tptp.eq tptp.zero @t3)) % 5.97/6.18 (define @t5 () (@list @t2)) % 5.97/6.18 (define @t6 () (forall @t5 (= @t4 tptp.false))) % 5.97/6.18 (define @t7 () (@var "X" $$unsorted)) % 5.97/6.18 (define @t8 () (tptp.s @t7)) % 5.97/6.18 (define @t9 () (tptp.eq @t8 tptp.zero)) % 5.97/6.18 (define @t10 () (@list @t7)) % 5.97/6.18 (define @t11 () (forall @t10 (= @t9 tptp.false))) % 5.97/6.18 (define @t12 () (@list @t7 @t2)) % 5.97/6.18 (define @t13 () (forall @t12 (= (tptp.eq @t8 @t3) (tptp.eq @t7 @t2)))) % 5.97/6.18 (define @t14 () (tptp.le tptp.zero @t2)) % 5.97/6.18 (define @t15 () (forall @t5 (= @t14 tptp.true))) % 5.97/6.18 (define @t16 () (tptp.le @t8 tptp.zero)) % 5.97/6.18 (define @t17 () (forall @t10 (= @t16 tptp.false))) % 5.97/6.18 (define @t18 () (forall @t12 (= (tptp.le @t8 @t3) (tptp.le @t7 @t2)))) % 5.97/6.18 (define @t19 () (tptp.cons tptp.zero tptp.nil)) % 5.97/6.18 (define @t20 () (tptp.min @t19)) % 5.97/6.18 (define @t21 () (@var "N" $$unsorted)) % 5.97/6.18 (define @t22 () (tptp.s @t21)) % 5.97/6.18 (define @t23 () (tptp.min (tptp.cons @t22 tptp.nil))) % 5.97/6.18 (define @t24 () (forall (@list @t21) (= @t23 @t22))) % 5.97/6.18 (define @t25 () (@var "L" $$unsorted)) % 5.97/6.18 (define @t26 () (@var "M" $$unsorted)) % 5.97/6.18 (define @t27 () (tptp.cons @t26 @t25)) % 5.97/6.18 (define @t28 () (tptp.cons @t21 @t27)) % 5.97/6.18 (define @t29 () (@list @t21 @t26 @t25)) % 5.97/6.18 (define @t30 () (tptp.cons @t21 @t25)) % 5.97/6.18 (define @t31 () (tptp.min @t30)) % 5.97/6.18 (define @t32 () (forall @t29 (= (tptp.ifmin tptp.true @t28) @t31))) % 5.97/6.18 (define @t33 () (forall @t29 (= (tptp.ifmin tptp.false @t28) (tptp.min @t27)))) % 5.97/6.18 (define @t34 () (@var "K" $$unsorted)) % 5.97/6.18 (define @t35 () (tptp.cons @t34 @t25)) % 5.97/6.18 (define @t36 () (@list @t21 @t26 @t34 @t25)) % 5.97/6.18 (define @t37 () (tptp.ifrepl tptp.true @t21 @t26 @t35)) % 5.97/6.18 (define @t38 () (forall @t36 (= @t37 @t27))) % 5.97/6.18 (define @t39 () (tptp.selsort tptp.nil)) % 5.97/6.18 (define @t40 () (@list @t21 @t25)) % 5.97/6.18 (define @t41 () (forall @t40 (= (tptp.ifselsort tptp.true @t30) (tptp.cons @t21 (tptp.selsort @t25))))) % 5.97/6.18 (define @t42 () (tptp.s tptp.zero)) % 5.97/6.18 (define @t43 () (tptp.s @t42)) % 5.97/6.18 (define @t44 () (tptp.s @t43)) % 5.97/6.18 (define @t45 () (tptp.s @t44)) % 5.97/6.18 (define @t46 () (tptp.cons @t45 tptp.nil)) % 5.97/6.18 (define @t47 () (tptp.cons @t44 @t46)) % 5.97/6.18 (define @t48 () (tptp.cons @t43 @t47)) % 5.97/6.18 (define @t49 () (tptp.cons @t42 @t48)) % 5.97/6.18 (define @t50 () (tptp.cons tptp.zero @t49)) % 5.97/6.18 (define @t51 () (tptp.cons @t45 @t19)) % 5.97/6.18 (define @t52 () (tptp.cons @t43 @t51)) % 5.97/6.18 (define @t53 () (tptp.cons @t42 @t52)) % 5.97/6.18 (define @t54 () (forall @t10 (not (= (tptp.selsort (tptp.cons @t7 @t53)) @t50)))) % 5.97/6.18 (define @t55 () (@list tptp.zero)) % 5.97/6.18 (define @t56 () (@list @t42)) % 5.97/6.18 (define @t57 () (@list @t44)) % 5.97/6.18 (define @t58 () (@list @t43)) % 5.97/6.18 (define @t59 () (@list @t45 tptp.zero tptp.nil)) % 5.97/6.18 (define @t60 () (@list @t43 @t45 @t19)) % 5.97/6.18 (define @t61 () (@list @t42 @t43 @t51)) % 5.97/6.18 (define @t62 () (tptp.ifmin tptp.false @t51)) % 5.97/6.18 (define @t63 () (= @t62 @t20)) % 5.97/6.18 (define @t64 () (= @t20 @t62)) % 5.97/6.18 (define @t65 () (@list false)) % 5.97/6.18 (define @t66 () (@list @t33)) % 5.97/6.18 (define @t67 () (@list @t43 tptp.zero tptp.nil)) % 5.97/6.18 (define @t68 () (@list @t42 @t45 @t19)) % 5.97/6.18 (define @t69 () (tptp.cons @t43 @t19)) % 5.97/6.18 (define @t70 () (tptp.ifmin tptp.false @t69)) % 5.97/6.18 (define @t71 () (= @t70 @t20)) % 5.97/6.18 (define @t72 () (= @t20 @t70)) % 5.97/6.18 (define @t73 () (@list @t45 tptp.nil)) % 5.97/6.18 (define @t74 () (tptp.eq @t42 @t42)) % 5.97/6.18 (define @t75 () (= @t74 @t1)) % 5.97/6.18 (define @t76 () (= @t1 @t74)) % 5.97/6.18 (define @t77 () (@list @t13)) % 5.97/6.18 (define @t78 () (tptp.eq @t43 @t43)) % 5.97/6.18 (define @t79 () (= @t78 @t74)) % 5.97/6.18 (define @t80 () (= @t74 @t78)) % 5.97/6.18 (define @t81 () (tptp.eq @t44 @t44)) % 5.97/6.18 (define @t82 () (= @t81 @t78)) % 5.97/6.18 (define @t83 () (= @t78 @t81)) % 5.97/6.18 (define @t84 () (tptp.eq @t45 @t45)) % 5.97/6.18 (define @t85 () (= @t84 @t81)) % 5.97/6.18 (define @t86 () (= @t81 @t84)) % 5.97/6.18 (define @t87 () (tptp.eq @t43 @t42)) % 5.97/6.18 (define @t88 () (tptp.eq @t42 tptp.zero)) % 5.97/6.18 (define @t89 () (= @t87 @t88)) % 5.97/6.18 (define @t90 () (@list @t42 tptp.zero)) % 5.97/6.18 (define @t91 () (= @t88 @t87)) % 5.97/6.18 (define @t92 () (@list @t44 @t43)) % 5.97/6.18 (define @t93 () (@list @t42 tptp.zero tptp.nil)) % 5.97/6.18 (define @t94 () (@list @t44 tptp.zero tptp.nil)) % 5.97/6.18 (define @t95 () (@list @t42 @t44 tptp.nil)) % 5.97/6.18 (define @t96 () (@list tptp.zero @t42 @t52)) % 5.97/6.18 (define @t97 () (tptp.cons tptp.zero @t19)) % 5.97/6.18 (define @t98 () (tptp.ifmin tptp.true @t97)) % 5.97/6.18 (define @t99 () (= @t98 @t20)) % 5.97/6.18 (define @t100 () (@list tptp.zero tptp.zero tptp.nil)) % 5.97/6.18 (define @t101 () (= @t20 @t98)) % 5.97/6.18 (define @t102 () (@list @t32)) % 5.97/6.18 (define @t103 () (tptp.cons @t42 @t19)) % 5.97/6.18 (define @t104 () (tptp.ifmin tptp.false @t103)) % 5.97/6.18 (define @t105 () (= @t104 @t20)) % 5.97/6.18 (define @t106 () (= @t20 @t104)) % 5.97/6.18 (define @t107 () (tptp.eq @t44 @t43)) % 5.97/6.18 (define @t108 () (= @t107 @t87)) % 5.97/6.18 (define @t109 () (@list @t43 @t42)) % 5.97/6.18 (define @t110 () (= @t87 @t107)) % 5.97/6.18 (define @t111 () (tptp.le @t43 @t42)) % 5.97/6.18 (define @t112 () (tptp.le @t42 tptp.zero)) % 5.97/6.18 (define @t113 () (= @t111 @t112)) % 5.97/6.18 (define @t114 () (= @t112 @t111)) % 5.97/6.18 (define @t115 () (@list @t18)) % 5.97/6.18 (define @t116 () (tptp.le @t44 @t43)) % 5.97/6.18 (define @t117 () (= @t116 @t111)) % 5.97/6.18 (define @t118 () (= @t111 @t116)) % 5.97/6.18 (define @t119 () (tptp.le @t45 @t44)) % 5.97/6.18 (define @t120 () (= @t119 @t116)) % 5.97/6.18 (define @t121 () (= @t116 @t119)) % 5.97/6.18 (define @t122 () (@list @t44 tptp.zero @t53)) % 5.97/6.18 (define @t123 () (@list tptp.zero @t43 @t51)) % 5.97/6.18 (define @t124 () (tptp.cons @t44 tptp.nil)) % 5.97/6.18 (define @t125 () (tptp.cons @t42 @t124)) % 5.97/6.18 (define @t126 () (tptp.ifmin tptp.true @t125)) % 5.97/6.18 (define @t127 () (tptp.min (tptp.cons @t42 tptp.nil))) % 5.97/6.18 (define @t128 () (= @t126 @t127)) % 5.97/6.18 (define @t129 () (= @t127 @t126)) % 5.97/6.18 (define @t130 () (tptp.cons tptp.zero @t53)) % 5.97/6.18 (define @t131 () (tptp.ifmin tptp.true @t130)) % 5.97/6.18 (define @t132 () (tptp.cons tptp.zero @t52)) % 5.97/6.18 (define @t133 () (tptp.min @t132)) % 5.97/6.18 (define @t134 () (= @t131 @t133)) % 5.97/6.18 (define @t135 () (= @t133 @t131)) % 5.97/6.18 (define @t136 () (tptp.cons @t44 @t51)) % 5.97/6.18 (define @t137 () (tptp.ifmin tptp.true @t136)) % 5.97/6.18 (define @t138 () (tptp.cons @t44 @t19)) % 5.97/6.18 (define @t139 () (tptp.min @t138)) % 5.97/6.18 (define @t140 () (= @t137 @t139)) % 5.97/6.18 (define @t141 () (@list @t44 @t45 @t19)) % 5.97/6.18 (define @t142 () (= @t139 @t137)) % 5.97/6.18 (define @t143 () (tptp.cons @t43 @t124)) % 5.97/6.18 (define @t144 () (tptp.ifmin tptp.true @t143)) % 5.97/6.18 (define @t145 () (tptp.min (tptp.cons @t43 tptp.nil))) % 5.97/6.18 (define @t146 () (= @t144 @t145)) % 5.97/6.18 (define @t147 () (@list @t43 @t44 tptp.nil)) % 5.97/6.18 (define @t148 () (= @t145 @t144)) % 5.97/6.18 (define @t149 () (tptp.ifmin tptp.false @t138)) % 5.97/6.18 (define @t150 () (= @t149 @t20)) % 5.97/6.18 (define @t151 () (= @t20 @t149)) % 5.97/6.18 (define @t152 () (tptp.le @t43 @t44)) % 5.97/6.18 (define @t153 () (tptp.le @t42 @t43)) % 5.97/6.18 (define @t154 () (= @t152 @t153)) % 5.97/6.18 (define @t155 () (@list @t42 @t43)) % 5.97/6.18 (define @t156 () (= @t153 @t152)) % 5.97/6.18 (define @t157 () (tptp.le @t44 @t42)) % 5.97/6.18 (define @t158 () (tptp.le @t43 tptp.zero)) % 5.97/6.18 (define @t159 () (= @t157 @t158)) % 5.97/6.18 (define @t160 () (= @t158 @t157)) % 5.97/6.18 (define @t161 () (tptp.min @t52)) % 5.97/6.18 (define @t162 () (@list @t161 @t45 @t19)) % 5.97/6.18 (define @t163 () (@list @t44 @t43 @t51)) % 5.97/6.18 (define @t164 () (@list @t45 @t44 tptp.nil)) % 5.97/6.18 (define @t165 () (tptp.cons @t44 @t130)) % 5.97/6.18 (define @t166 () (tptp.ifmin tptp.false @t165)) % 5.97/6.18 (define @t167 () (tptp.min @t130)) % 5.97/6.18 (define @t168 () (= @t166 @t167)) % 5.97/6.18 (define @t169 () (= @t167 @t166)) % 5.97/6.18 (define @t170 () (@list @t139 @t44 tptp.zero tptp.nil)) % 5.97/6.18 (define @t171 () (tptp.le @t44 @t45)) % 5.97/6.18 (define @t172 () (= @t171 @t152)) % 5.97/6.18 (define @t173 () (@list @t43 @t44)) % 5.97/6.18 (define @t174 () (= @t152 @t171)) % 5.97/6.18 (define @t175 () (@list @t44 @t42 @t52)) % 5.97/6.18 (define @t176 () (tptp.cons @t44 @t52)) % 5.97/6.18 (define @t177 () (tptp.ifmin tptp.false @t176)) % 5.97/6.18 (define @t178 () (= @t177 @t161)) % 5.97/6.18 (define @t179 () (= @t161 @t177)) % 5.97/6.18 (define @t180 () (tptp.cons @t45 @t124)) % 5.97/6.18 (define @t181 () (tptp.ifmin tptp.false @t180)) % 5.97/6.18 (define @t182 () (tptp.min @t124)) % 5.97/6.18 (define @t183 () (= @t181 @t182)) % 5.97/6.18 (define @t184 () (= @t182 @t181)) % 5.97/6.18 (define @t185 () (tptp.cons @t44 @t53)) % 5.97/6.18 (define @t186 () (tptp.ifmin tptp.false @t185)) % 5.97/6.18 (define @t187 () (tptp.min @t53)) % 5.97/6.18 (define @t188 () (= @t186 @t187)) % 5.97/6.18 (define @t189 () (= @t187 @t186)) % 5.97/6.18 (define @t190 () (@list @t44 @t53)) % 5.97/6.18 (define @t191 () (@list @t45 @t124)) % 5.97/6.18 (define @t192 () (tptp.selsort @t185)) % 5.97/6.18 (define @t193 () (not (= @t192 @t50))) % 5.97/6.18 (define @t194 () (= @t50 @t192)) % 5.97/6.18 (define @t195 () (tptp.min @t136)) % 5.97/6.18 (define @t196 () (@list @t195 @t44 @t45 @t19)) % 5.97/6.18 (define @t197 () (tptp.min @t176)) % 5.97/6.18 (define @t198 () (@list @t197 @t44 @t43 @t51)) % 5.97/6.18 (define @t199 () (tptp.min @t180)) % 5.97/6.18 (define @t200 () (@list @t199 @t45 @t44 tptp.nil)) % 5.97/6.18 (define @t201 () (tptp.min @t185)) % 5.97/6.18 (define @t202 () (@list @t201 @t44 @t42 @t52)) % 5.97/6.18 (define @t203 () (tptp.replace @t199 @t45 @t124)) % 5.97/6.18 (define @t204 () (tptp.ifselsort tptp.true (tptp.cons @t199 @t203))) % 5.97/6.18 (define @t205 () (tptp.cons @t199 (tptp.selsort @t203))) % 5.97/6.18 (define @t206 () (= @t204 @t205)) % 5.97/6.18 (define @t207 () (@list @t199 @t203)) % 5.97/6.18 (define @t208 () (= @t205 @t204)) % 5.97/6.18 (define @t209 () (@list @t43 @t45 @t124)) % 5.97/6.18 (define @t210 () (tptp.cons @t42 @t180)) % 5.97/6.18 (define @t211 () (tptp.ifmin tptp.true @t210)) % 5.97/6.18 (define @t212 () (tptp.min @t125)) % 5.97/6.18 (define @t213 () (= @t211 @t212)) % 5.97/6.18 (define @t214 () (@list @t42 @t45 @t124)) % 5.97/6.18 (define @t215 () (= @t212 @t211)) % 5.97/6.18 (define @t216 () (@list @t42 @t43 @t180)) % 5.97/6.18 (define @t217 () (tptp.cons @t43 @t180)) % 5.97/6.18 (define @t218 () (tptp.ifmin tptp.true @t217)) % 5.97/6.18 (define @t219 () (tptp.min @t143)) % 5.97/6.18 (define @t220 () (= @t218 @t219)) % 5.97/6.18 (define @t221 () (= @t219 @t218)) % 5.97/6.18 (define @t222 () (tptp.cons @t42 @t217)) % 5.97/6.18 (define @t223 () (tptp.ifmin tptp.true @t222)) % 5.97/6.18 (define @t224 () (tptp.min @t210)) % 5.97/6.18 (define @t225 () (= @t223 @t224)) % 5.97/6.18 (define @t226 () (= @t224 @t223)) % 5.97/6.18 (define @t227 () (tptp.replace @t201 @t44 @t52)) % 5.97/6.18 (define @t228 () (@list @t42 @t227)) % 5.97/6.18 (define @t229 () (@list @t43 @t180)) % 5.97/6.18 (define @t230 () (= tptp.true @t1)) % 5.97/6.18 (define @t231 () (= tptp.zero @t20)) % 5.97/6.18 (define @t232 () (= tptp.nil @t39)) % 5.97/6.18 (define @t233 () (tptp.eq tptp.zero @t42)) % 5.97/6.18 (define @t234 () (= tptp.false @t233)) % 5.97/6.18 (define @t235 () (tptp.eq tptp.zero @t43)) % 5.97/6.18 (define @t236 () (= tptp.false @t235)) % 5.97/6.18 (define @t237 () (tptp.eq tptp.zero @t45)) % 5.97/6.18 (define @t238 () (= tptp.false @t237)) % 5.97/6.18 (define @t239 () (= tptp.false @t88)) % 5.97/6.18 (define @t240 () (tptp.eq @t44 tptp.zero)) % 5.97/6.18 (define @t241 () (= tptp.false @t240)) % 5.97/6.18 (define @t242 () (= tptp.false @t112)) % 5.97/6.18 (define @t243 () (= tptp.false @t158)) % 5.97/6.18 (define @t244 () (tptp.le @t44 tptp.zero)) % 5.97/6.18 (define @t245 () (= tptp.false @t244)) % 5.97/6.18 (define @t246 () (tptp.le @t45 tptp.zero)) % 5.97/6.18 (define @t247 () (= tptp.false @t246)) % 5.97/6.18 (define @t248 () (= @t42 @t127)) % 5.97/6.18 (define @t249 () (= @t43 @t145)) % 5.97/6.18 (define @t250 () (= @t44 @t182)) % 5.97/6.18 (define @t251 () (tptp.min @t46)) % 5.97/6.18 (define @t252 () (= @t45 @t251)) % 5.97/6.18 (define @t253 () (tptp.ifmin @t246 @t51)) % 5.97/6.18 (define @t254 () (tptp.min @t51)) % 5.97/6.18 (define @t255 () (= @t254 @t253)) % 5.97/6.18 (define @t256 () (tptp.le @t43 @t45)) % 5.97/6.18 (define @t257 () (tptp.ifmin @t256 @t52)) % 5.97/6.18 (define @t258 () (= @t161 @t257)) % 5.97/6.18 (define @t259 () (= @t187 (tptp.ifmin @t153 @t53))) % 5.97/6.18 (define @t260 () (tptp.min @t69)) % 5.97/6.18 (define @t261 () (= (tptp.ifmin tptp.true @t52) @t260)) % 5.97/6.18 (define @t262 () (tptp.cons @t42 @t51)) % 5.97/6.18 (define @t263 () (tptp.min @t262)) % 5.97/6.18 (define @t264 () (tptp.ifmin tptp.true @t53)) % 5.97/6.18 (define @t265 () (= @t264 @t263)) % 5.97/6.18 (define @t266 () (tptp.le @t42 @t44)) % 5.97/6.18 (define @t267 () (= @t256 @t266)) % 5.97/6.18 (define @t268 () (tptp.le tptp.zero @t42)) % 5.97/6.18 (define @t269 () (= @t153 @t268)) % 5.97/6.18 (define @t270 () (tptp.ifmin @t158 @t69)) % 5.97/6.18 (define @t271 () (= @t260 @t270)) % 5.97/6.18 (define @t272 () (tptp.le @t42 @t45)) % 5.97/6.18 (define @t273 () (= @t263 (tptp.ifmin @t272 @t262))) % 5.97/6.18 (define @t274 () (tptp.min @t103)) % 5.97/6.18 (define @t275 () (tptp.ifmin tptp.true @t262)) % 5.97/6.18 (define @t276 () (= @t275 @t274)) % 5.97/6.18 (define @t277 () (tptp.selsort @t46)) % 5.97/6.18 (define @t278 () (= @t277 (tptp.ifselsort (tptp.eq @t45 @t251) @t46))) % 5.97/6.18 (define @t279 () (tptp.ifselsort tptp.true @t46)) % 5.97/6.18 (define @t280 () (= @t279 (tptp.cons @t45 @t39))) % 5.97/6.18 (define @t281 () (tptp.eq @t45 @t44)) % 5.97/6.18 (define @t282 () (= @t281 @t107)) % 5.97/6.18 (define @t283 () (= tptp.true @t268)) % 5.97/6.18 (define @t284 () (tptp.le tptp.zero @t43)) % 5.97/6.18 (define @t285 () (= @t266 @t284)) % 5.97/6.18 (define @t286 () (tptp.le tptp.zero @t44)) % 5.97/6.18 (define @t287 () (= @t272 @t286)) % 5.97/6.18 (define @t288 () (= @t274 (tptp.ifmin @t112 @t103))) % 5.97/6.18 (define @t289 () (tptp.ifmin @t244 @t138)) % 5.97/6.18 (define @t290 () (= @t139 @t289)) % 5.97/6.18 (define @t291 () (= @t212 (tptp.ifmin @t266 @t125))) % 5.97/6.18 (define @t292 () (tptp.ifmin @t268 @t130)) % 5.97/6.18 (define @t293 () (= @t167 @t292)) % 5.97/6.18 (define @t294 () (= tptp.true @t284)) % 5.97/6.18 (define @t295 () (= tptp.true @t286)) % 5.97/6.18 (define @t296 () (tptp.le tptp.zero tptp.zero)) % 5.97/6.18 (define @t297 () (= tptp.true @t296)) % 5.97/6.18 (define @t298 () (tptp.ifmin @t296 @t97)) % 5.97/6.18 (define @t299 () (= (tptp.min @t97) @t298)) % 5.97/6.18 (define @t300 () (tptp.ifmin @t244 @t165)) % 5.97/6.18 (define @t301 () (tptp.min @t165)) % 5.97/6.18 (define @t302 () (= @t301 @t300)) % 5.97/6.18 (define @t303 () (tptp.ifmin @t284 @t132)) % 5.97/6.18 (define @t304 () (= @t133 @t303)) % 5.97/6.18 (define @t305 () (tptp.ifmin @t171 @t136)) % 5.97/6.18 (define @t306 () (= @t195 @t305)) % 5.97/6.18 (define @t307 () (= @t219 (tptp.ifmin @t152 @t143))) % 5.97/6.18 (define @t308 () (tptp.cons @t161 @t51)) % 5.97/6.18 (define @t309 () (tptp.le @t161 @t45)) % 5.97/6.18 (define @t310 () (tptp.ifmin @t309 @t308)) % 5.97/6.18 (define @t311 () (= (tptp.min @t308) @t310)) % 5.97/6.18 (define @t312 () (tptp.ifmin @t116 @t176)) % 5.97/6.18 (define @t313 () (= @t197 @t312)) % 5.97/6.18 (define @t314 () (= @t199 (tptp.ifmin @t119 @t180))) % 5.97/6.18 (define @t315 () (tptp.cons tptp.zero @t51)) % 5.97/6.18 (define @t316 () (tptp.min @t315)) % 5.97/6.18 (define @t317 () (= (tptp.ifmin tptp.true @t132) @t316)) % 5.97/6.18 (define @t318 () (tptp.cons @t161 @t19)) % 5.97/6.18 (define @t319 () (tptp.min @t318)) % 5.97/6.18 (define @t320 () (= (tptp.ifmin tptp.true @t308) @t319)) % 5.97/6.18 (define @t321 () (tptp.replace @t139 @t44 @t19)) % 5.97/6.18 (define @t322 () (= @t321 (tptp.ifrepl (tptp.eq @t139 tptp.zero) @t139 @t44 @t19))) % 5.97/6.18 (define @t323 () (tptp.ifselsort tptp.true @t47)) % 5.97/6.18 (define @t324 () (= @t323 (tptp.cons @t44 @t277))) % 5.97/6.18 (define @t325 () (= tptp.true (tptp.le tptp.zero @t45))) % 5.97/6.18 (define @t326 () (= @t201 (tptp.ifmin @t157 @t185))) % 5.97/6.18 (define @t327 () (tptp.ifrepl tptp.true @t139 @t44 @t19)) % 5.97/6.18 (define @t328 () (= @t124 @t327)) % 5.97/6.18 (define @t329 () (= @t192 (tptp.ifselsort (tptp.eq @t44 @t201) @t185))) % 5.97/6.18 (define @t330 () (tptp.selsort @t180)) % 5.97/6.18 (define @t331 () (= @t330 (tptp.ifselsort (tptp.eq @t45 @t199) @t180))) % 5.97/6.18 (define @t332 () (tptp.ifselsort tptp.false @t180)) % 5.97/6.18 (define @t333 () (= @t332 @t205)) % 5.97/6.18 (define @t334 () (tptp.replace @t201 @t44 @t53)) % 5.97/6.18 (define @t335 () (tptp.selsort @t334)) % 5.97/6.18 (define @t336 () (tptp.ifselsort tptp.false @t185)) % 5.97/6.18 (define @t337 () (= @t336 (tptp.cons @t201 @t335))) % 5.97/6.18 (define @t338 () (tptp.replace @t195 @t44 @t51)) % 5.97/6.18 (define @t339 () (= @t338 (tptp.ifrepl (tptp.eq @t195 @t45) @t195 @t44 @t51))) % 5.97/6.18 (define @t340 () (tptp.replace @t197 @t44 @t52)) % 5.97/6.18 (define @t341 () (= @t340 (tptp.ifrepl (tptp.eq @t197 @t43) @t197 @t44 @t52))) % 5.97/6.18 (define @t342 () (= @t203 (tptp.ifrepl (tptp.eq @t199 @t44) @t199 @t45 @t124))) % 5.97/6.18 (define @t343 () (= @t334 (tptp.ifrepl (tptp.eq @t201 @t42) @t201 @t44 @t53))) % 5.97/6.18 (define @t344 () (tptp.min @t217)) % 5.97/6.18 (define @t345 () (= @t344 (tptp.ifmin @t256 @t217))) % 5.97/6.18 (define @t346 () (tptp.ifrepl tptp.true @t199 @t45 @t124)) % 5.97/6.18 (define @t347 () (= @t46 @t346)) % 5.97/6.18 (define @t348 () (tptp.ifrepl tptp.false @t195 @t44 @t51)) % 5.97/6.18 (define @t349 () (= @t348 (tptp.cons @t45 (tptp.replace @t195 @t44 @t19)))) % 5.97/6.18 (define @t350 () (tptp.ifrepl tptp.false @t197 @t44 @t52)) % 5.97/6.18 (define @t351 () (= @t350 (tptp.cons @t43 (tptp.replace @t197 @t44 @t51)))) % 5.97/6.18 (define @t352 () (tptp.cons @t42 @t227)) % 5.97/6.18 (define @t353 () (tptp.ifrepl tptp.false @t201 @t44 @t53)) % 5.97/6.18 (define @t354 () (= @t353 @t352)) % 5.97/6.18 (define @t355 () (= @t224 (tptp.ifmin @t272 @t210))) % 5.97/6.18 (define @t356 () (tptp.min @t222)) % 5.97/6.18 (define @t357 () (= @t356 (tptp.ifmin @t153 @t222))) % 5.97/6.18 (define @t358 () (tptp.selsort @t352)) % 5.97/6.18 (define @t359 () (= @t358 (tptp.ifselsort (tptp.eq @t42 (tptp.min @t352)) @t352))) % 5.97/6.18 (define @t360 () (tptp.selsort @t217)) % 5.97/6.18 (define @t361 () (= @t360 (tptp.ifselsort (tptp.eq @t43 @t344) @t217))) % 5.97/6.18 (define @t362 () (tptp.ifselsort tptp.true @t217)) % 5.97/6.18 (define @t363 () (= @t362 (tptp.cons @t43 @t330))) % 5.97/6.18 (define @t364 () (tptp.ifselsort tptp.true @t352)) % 5.97/6.18 (define @t365 () (= @t364 (tptp.cons @t42 (tptp.selsort @t227)))) % 5.97/6.18 (define @t366 () (and @t230 @t231 @t232 @t234 @t236 @t238 @t239 @t241 @t242 @t243 @t245 @t247 @t248 @t249 @t250 @t252 @t255 @t258 @t259 @t261 @t265 @t64 @t267 @t269 @t271 @t273 @t276 @t72 @t278 @t280 @t76 @t80 @t83 @t86 @t91 @t282 @t283 @t285 @t287 @t288 @t290 @t291 @t293 @t101 @t106 @t110 @t294 @t295 @t297 @t114 @t118 @t121 @t299 @t302 @t304 @t129 @t135 @t142 @t148 @t151 @t156 @t160 @t306 @t307 @t311 @t313 @t314 @t317 @t320 @t169 @t322 @t324 @t325 @t174 @t326 @t179 @t184 @t189 @t328 @t329 @t331 @t333 @t337 @t339 @t341 @t342 @t343 @t208 @t345 @t215 @t347 @t349 @t351 @t354 @t355 @t357 @t221 @t226 @t359 @t361 @t363 @t365)) % 5.97/6.18 (assume @p1 (= @t1 tptp.true)) % 5.97/6.18 (assume @p2 @t6) % 5.97/6.18 (assume @p3 @t11) % 5.97/6.18 (assume @p4 @t13) % 5.97/6.18 (assume @p5 @t15) % 5.97/6.18 (assume @p6 @t17) % 5.97/6.18 (assume @p7 @t18) % 5.97/6.18 (assume @p8 (= @t20 tptp.zero)) % 5.97/6.18 (assume @p9 @t24) % 5.97/6.18 (assume @p10 (forall @t29 (= (tptp.min @t28) (tptp.ifmin (tptp.le @t21 @t26) @t28)))) % 5.97/6.18 (assume @p11 @t32) % 5.97/6.18 (assume @p12 @t33) % 5.97/6.18 (assume @p13 (forall (@list @t21 @t26) (= (tptp.replace @t21 @t26 tptp.nil) tptp.nil))) % 5.97/6.18 (assume @p14 (forall @t36 (= (tptp.replace @t21 @t26 @t35) (tptp.ifrepl (tptp.eq @t21 @t34) @t21 @t26 @t35)))) % 5.97/6.18 (assume @p15 @t38) % 5.97/6.18 (assume @p16 (forall @t36 (= (tptp.ifrepl tptp.false @t21 @t26 @t35) (tptp.cons @t34 (tptp.replace @t21 @t26 @t25))))) % 5.97/6.18 (assume @p17 (= @t39 tptp.nil)) % 5.97/6.18 (assume @p18 (forall @t40 (= (tptp.selsort @t30) (tptp.ifselsort (tptp.eq @t21 @t31) @t30)))) % 5.97/6.18 (assume @p19 @t41) % 5.97/6.18 (assume @p20 (forall @t40 (= (tptp.ifselsort tptp.false @t30) (tptp.cons @t31 (tptp.selsort (tptp.replace @t31 @t21 @t25)))))) % 5.97/6.18 (assume @p21 @t54) % 5.97/6.18 (step @p22 :rule symm :premises (@p1)) % 5.97/6.18 (step @p23 :rule symm :premises (@p8)) % 5.97/6.18 (step @p24 :rule symm :premises (@p17)) % 5.97/6.18 (step @p25 :rule eq-symm :args (@t4 tptp.false)) % 5.97/6.18 (step @p26 :rule cong :premises (@p25) :args (@t6)) % 5.97/6.18 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 5.97/6.18 (step @p28 :rule instantiate :premises (@p27) :args (@t55)) % 5.97/6.18 (step @p29 :rule instantiate :premises (@p27) :args (@t56)) % 5.97/6.18 (step @p30 :rule instantiate :premises (@p27) :args (@t57)) % 5.97/6.18 (step @p31 :rule eq-symm :args (@t9 tptp.false)) % 5.97/6.18 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 5.97/6.18 (step @p33 :rule eq_resolve :premises (@p3 @p32)) % 5.97/6.18 (step @p34 :rule instantiate :premises (@p33) :args (@t55)) % 5.97/6.18 (step @p35 :rule instantiate :premises (@p33) :args (@t58)) % 5.97/6.18 (step @p36 :rule eq-symm :args (@t16 tptp.false)) % 5.97/6.18 (step @p37 :rule cong :premises (@p36) :args (@t17)) % 5.97/6.18 (step @p38 :rule eq_resolve :premises (@p6 @p37)) % 5.97/6.18 (step @p39 :rule instantiate :premises (@p38) :args (@t55)) % 5.97/6.18 (step @p40 :rule instantiate :premises (@p38) :args (@t56)) % 5.97/6.18 (step @p41 :rule instantiate :premises (@p38) :args (@t58)) % 5.97/6.18 (step @p42 :rule instantiate :premises (@p38) :args (@t57)) % 5.97/6.18 (step @p43 :rule eq-symm :args (@t23 @t22)) % 5.97/6.18 (step @p44 :rule cong :premises (@p43) :args (@t24)) % 5.97/6.18 (step @p45 :rule eq_resolve :premises (@p9 @p44)) % 5.97/6.18 (step @p46 :rule instantiate :premises (@p45) :args (@t55)) % 5.97/6.18 (step @p47 :rule instantiate :premises (@p45) :args (@t56)) % 5.97/6.18 (step @p48 :rule instantiate :premises (@p45) :args (@t58)) % 5.97/6.18 (step @p49 :rule instantiate :premises (@p45) :args (@t57)) % 5.97/6.18 (step @p50 :rule instantiate :premises (@p10) :args (@t59)) % 5.97/6.18 (step @p51 :rule instantiate :premises (@p10) :args (@t60)) % 5.97/6.18 (step @p52 :rule instantiate :premises (@p10) :args (@t61)) % 5.97/6.18 (step @p53 :rule instantiate :premises (@p11) :args (@t60)) % 5.97/6.18 (step @p54 :rule instantiate :premises (@p11) :args (@t61)) % 5.97/6.18 (step @p55 :rule eq-symm :args (@t62 @t20)) % 5.97/6.18 (step @p56 :rule refl :args (@t33)) % 5.97/6.18 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t33 @t63))) % 5.97/6.18 (assume-push @p826 @t33) % 5.97/6.18 (step @p59 :rule instantiate :premises (@p12) :args (@t59)) % 5.97/6.18 (step-pop @p827 :rule scope :premises (@p59)) % 5.97/6.18 (step @p60 :rule process_scope :premises (@p827) :args (@t63)) % 5.97/6.18 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 5.97/6.18 (step @p63 :rule implies_elim :premises (@p62)) % 5.97/6.18 (step @p64 :rule chain_m_resolution :premises (@p63 @p12) :args (@t64 @t65 @t66)) % 5.97/6.18 (step @p65 :rule instantiate :premises (@p7) :args ((@list @t42 @t44))) % 5.97/6.18 (step @p66 :rule instantiate :premises (@p7) :args ((@list tptp.zero @t42))) % 5.97/6.18 (step @p67 :rule instantiate :premises (@p10) :args (@t67)) % 5.97/6.18 (step @p68 :rule instantiate :premises (@p10) :args (@t68)) % 5.97/6.18 (step @p69 :rule instantiate :premises (@p11) :args (@t68)) % 5.97/6.18 (step @p70 :rule eq-symm :args (@t70 @t20)) % 5.97/6.18 (step @p71 :rule cong :premises (@p56 @p70) :args ((=> @t33 @t71))) % 5.97/6.18 (assume-push @p828 @t33) % 5.97/6.18 (step @p73 :rule instantiate :premises (@p12) :args (@t67)) % 5.97/6.18 (step-pop @p829 :rule scope :premises (@p73)) % 5.97/6.18 (step @p74 :rule process_scope :premises (@p829) :args (@t71)) % 5.97/6.18 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 5.97/6.18 (step @p77 :rule implies_elim :premises (@p76)) % 5.97/6.18 (step @p78 :rule chain_m_resolution :premises (@p77 @p12) :args (@t72 @t65 @t66)) % 5.97/6.18 (step @p79 :rule instantiate :premises (@p18) :args (@t73)) % 5.97/6.18 (step @p80 :rule instantiate :premises (@p19) :args (@t73)) % 5.97/6.18 (step @p81 :rule eq-symm :args (@t74 @t1)) % 5.97/6.18 (step @p82 :rule refl :args (@t13)) % 5.97/6.18 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t13 @t75))) % 5.97/6.18 (assume-push @p830 @t13) % 5.97/6.18 (step @p85 :rule instantiate :premises (@p4) :args ((@list tptp.zero tptp.zero))) % 5.97/6.18 (step-pop @p831 :rule scope :premises (@p85)) % 5.97/6.18 (step @p86 :rule process_scope :premises (@p831) :args (@t75)) % 5.97/6.18 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 5.97/6.18 (step @p89 :rule implies_elim :premises (@p88)) % 5.97/6.18 (step @p90 :rule chain_m_resolution :premises (@p89 @p4) :args (@t76 @t65 @t77)) % 5.97/6.18 (step @p91 :rule eq-symm :args (@t78 @t74)) % 5.97/6.18 (step @p92 :rule cong :premises (@p82 @p91) :args ((=> @t13 @t79))) % 5.97/6.18 (assume-push @p832 @t13) % 5.97/6.18 (step @p94 :rule instantiate :premises (@p4) :args ((@list @t42 @t42))) % 5.97/6.18 (step-pop @p833 :rule scope :premises (@p94)) % 5.97/6.18 (step @p95 :rule process_scope :premises (@p833) :args (@t79)) % 5.97/6.18 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 5.97/6.18 (step @p98 :rule implies_elim :premises (@p97)) % 5.97/6.18 (step @p99 :rule chain_m_resolution :premises (@p98 @p4) :args (@t80 @t65 @t77)) % 5.97/6.18 (step @p100 :rule eq-symm :args (@t81 @t78)) % 5.97/6.18 (step @p101 :rule cong :premises (@p82 @p100) :args ((=> @t13 @t82))) % 5.97/6.18 (assume-push @p834 @t13) % 5.97/6.18 (step @p103 :rule instantiate :premises (@p4) :args ((@list @t43 @t43))) % 5.97/6.18 (step-pop @p835 :rule scope :premises (@p103)) % 5.97/6.18 (step @p104 :rule process_scope :premises (@p835) 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(@p1079)) % 5.97/6.18 (step-pop @p1081 :rule scope :premises (@p1080)) % 5.97/6.18 (step-pop @p1082 :rule scope :premises (@p1081)) % 5.97/6.18 (step-pop @p1083 :rule scope :premises (@p1082)) % 5.97/6.18 (step-pop @p1084 :rule scope :premises (@p1083)) % 5.97/6.18 (step-pop @p1085 :rule scope :premises (@p1084)) % 5.97/6.18 (step-pop @p1086 :rule scope :premises (@p1085)) % 5.97/6.18 (step-pop @p1087 :rule scope :premises (@p1086)) % 5.97/6.18 (step-pop @p1088 :rule scope :premises (@p1087)) % 5.97/6.18 (step-pop @p1089 :rule scope :premises (@p1088)) % 5.97/6.18 (step @p718 :rule process_scope :premises (@p1089) :args (@t194)) % 5.97/6.18 (step @p821 :rule implies_elim :premises (@p718)) % 5.97/6.18 (step @p822 :rule cnf_and_neg :args (@t366)) % 5.97/6.18 (step @p823 :rule resolution :premises (@p822 @p821) :args (true @t366)) % 5.97/6.18 (step @p824 :rule reordering :premises (@p823) :args ((or (not @t230) (not @t231) (not @t232) (not @t234) (not @t236) (not @t238) (not @t239) (not @t241) (not @t242) (not @t243) (not @t245) (not @t247) (not @t248) (not @t249) (not @t250) (not @t252) (not @t255) (not @t258) (not @t259) (not @t261) (not @t265) (not @t64) (not @t267) (not @t269) (not @t271) (not @t273) (not @t276) (not @t72) (not @t278) (not @t280) (not @t76) (not @t80) (not @t83) (not @t86) (not @t91) (not @t282) (not @t283) (not @t285) (not @t287) (not @t288) (not @t290) (not @t291) (not @t293) (not @t101) (not @t106) (not @t110) (not @t294) (not @t295) (not @t297) (not @t114) (not @t118) (not @t121) (not @t299) (not @t302) (not @t304) (not @t129) (not @t135) (not @t142) (not @t148) (not @t151) (not @t156) (not @t160) (not @t306) (not @t307) (not @t311) (not @t313) (not @t314) (not @t317) (not @t320) (not @t169) (not @t322) (not @t324) @t194 (not @t325) (not @t174) (not @t326) (not @t179) (not @t184) (not @t189) (not @t328) (not @t329) (not @t331) (not @t333) (not @t337) (not @t339) (not @t341) (not @t342) (not @t343) (not @t208) (not @t345) (not @t215) (not @t347) (not @t349) (not @t351) (not @t354) (not @t355) (not @t357) (not @t221) (not @t226) (not @t359) (not @t361) (not @t363) (not @t365)))) % 5.97/6.18 (step @p825 false :rule chain_m_resolution :premises (@p824 @p389 @p388 @p387 @p386 @p385 @p376 @p367 @p366 @p365 @p364 @p363 @p362 @p361 @p352 @p351 @p341 @p340 @p339 @p338 @p337 @p326 @p325 @p324 @p323 @p322 @p318 @p309 @p300 @p291 @p290 @p281 @p280 @p279 @p278 @p269 @p268 @p267 @p266 @p265 @p264 @p263 @p262 @p253 @p244 @p235 @p226 @p217 @p208 @p199 @p198 @p197 @p196 @p187 @p178 @p168 @p167 @p166 @p165 @p156 @p147 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p127 @p126 @p117 @p108 @p99 @p90 @p80 @p79 @p78 @p69 @p68 @p67 @p66 @p65 @p64 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p42 @p41 @p40 @p39 @p35 @p34 @p30 @p29 @p28 @p24 @p23 @p22) :args (false (@list false false false false false false false false false false false false false false false false false false false 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) (@list @t365 @t363 @t361 @t359 @t226 @t221 @t357 @t355 @t354 @t351 @t349 @t347 @t215 @t345 @t208 @t343 @t342 @t341 @t339 @t194 @t337 @t333 @t331 @t329 @t328 @t189 @t184 @t179 @t326 @t174 @t325 @t324 @t322 @t169 @t320 @t317 @t314 @t313 @t311 @t307 @t306 @t160 @t156 @t151 @t148 @t142 @t135 @t129 @t304 @t302 @t299 @t121 @t118 @t114 @t297 @t295 @t294 @t110 @t106 @t101 @t293 @t291 @t290 @t288 @t287 @t285 @t283 @t282 @t91 @t86 @t83 @t80 @t76 @t280 @t278 @t72 @t276 @t273 @t271 @t269 @t267 @t64 @t265 @t261 @t259 @t258 @t255 @t252 @t250 @t249 @t248 @t247 @t245 @t243 @t242 @t241 @t239 @t238 @t236 @t234 @t232 @t231 @t230))) % 5.97/6.18 ) % 5.97/6.19 % SZS output end Proof % 5.97/6.19 % cvc5 exiting %------------------------------------------------------------------------------