%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ031+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:44:00 AM UTC 2026 % Result : Theorem 0.51s 0.72s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ031+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:14:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.72 % SZS status Theorem % 0.51/0.72 % SZS output start Proof % 0.51/0.72 ( % 0.51/0.72 (declare-sort $$unsorted 0) % 0.51/0.72 (declare-const tptp.much_smaller (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.plant (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.grain (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.snail (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.caterpillar (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.fox (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.bird (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.wolf (-> $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.eats (-> $$unsorted $$unsorted Bool)) % 0.51/0.72 (declare-const tptp.animal (-> $$unsorted Bool)) % 0.51/0.72 (define @t1 () (@var "X" $$unsorted)) % 0.51/0.72 (define @t2 () (tptp.animal @t1)) % 0.51/0.72 (define @t3 () (tptp.wolf @t1)) % 0.51/0.72 (define @t4 () (@list @t1)) % 0.51/0.72 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.51/0.72 (define @t6 () (@var "X1" $$unsorted)) % 0.51/0.72 (define @t7 () (tptp.wolf @t6)) % 0.51/0.72 (define @t8 () (@list @t6)) % 0.51/0.72 (define @t9 () (exists @t8 @t7)) % 0.51/0.72 (define @t10 () (tptp.fox @t1)) % 0.51/0.72 (define @t11 () (forall @t4 (=> @t10 @t2))) % 0.51/0.72 (define @t12 () (tptp.fox @t6)) % 0.51/0.72 (define @t13 () (exists @t8 @t12)) % 0.51/0.72 (define @t14 () (tptp.bird @t1)) % 0.51/0.72 (define @t15 () (forall @t4 (=> @t14 @t2))) % 0.51/0.72 (define @t16 () (tptp.bird @t6)) % 0.51/0.72 (define @t17 () (exists @t8 @t16)) % 0.51/0.72 (define @t18 () (tptp.caterpillar @t1)) % 0.51/0.72 (define @t19 () (tptp.snail @t1)) % 0.51/0.72 (define @t20 () (forall @t4 (=> @t19 @t2))) % 0.51/0.72 (define @t21 () (tptp.snail @t6)) % 0.51/0.72 (define @t22 () (exists @t8 @t21)) % 0.51/0.72 (define @t23 () (tptp.grain @t1)) % 0.51/0.72 (define @t24 () (exists @t4 @t23)) % 0.51/0.72 (define @t25 () (tptp.plant @t6)) % 0.51/0.72 (define @t26 () (tptp.grain @t6)) % 0.51/0.72 (define @t27 () (forall @t8 (=> @t26 @t25))) % 0.51/0.72 (define @t28 () (@var "Y1" $$unsorted)) % 0.51/0.72 (define @t29 () (tptp.eats @t1 @t28)) % 0.51/0.72 (define @t30 () (@var "Z" $$unsorted)) % 0.51/0.72 (define @t31 () (tptp.eats @t28 @t30)) % 0.51/0.72 (define @t32 () (tptp.plant @t30)) % 0.51/0.72 (define @t33 () (and @t32 @t31)) % 0.51/0.72 (define @t34 () (@list @t30)) % 0.51/0.72 (define @t35 () (exists @t34 @t33)) % 0.51/0.72 (define @t36 () (tptp.much_smaller @t28 @t1)) % 0.51/0.72 (define @t37 () (tptp.animal @t28)) % 0.51/0.72 (define @t38 () (and @t37 @t36 @t35)) % 0.51/0.72 (define @t39 () (=> @t38 @t29)) % 0.51/0.72 (define @t40 () (@list @t28)) % 0.51/0.72 (define @t41 () (forall @t40 @t39)) % 0.51/0.72 (define @t42 () (@var "Y" $$unsorted)) % 0.51/0.72 (define @t43 () (tptp.eats @t1 @t42)) % 0.51/0.72 (define @t44 () (tptp.plant @t42)) % 0.51/0.72 (define @t45 () (@list @t42)) % 0.51/0.72 (define @t46 () (forall @t45 (=> @t44 @t43))) % 0.51/0.72 (define @t47 () (or @t46 @t41)) % 0.51/0.72 (define @t48 () (=> @t2 @t47)) % 0.51/0.72 (define @t49 () (forall @t4 @t48)) % 0.51/0.72 (define @t50 () (tptp.much_smaller @t1 @t42)) % 0.51/0.72 (define @t51 () (or @t19 @t18)) % 0.51/0.72 (define @t52 () (tptp.bird @t42)) % 0.51/0.72 (define @t53 () (and @t52 @t51)) % 0.51/0.72 (define @t54 () (@list @t1 @t42)) % 0.51/0.72 (define @t55 () (forall @t54 (=> @t53 @t50))) % 0.51/0.72 (define @t56 () (tptp.fox @t42)) % 0.51/0.72 (define @t57 () (and @t14 @t56)) % 0.51/0.72 (define @t58 () (forall @t54 (=> @t57 @t50))) % 0.51/0.72 (define @t59 () (tptp.wolf @t42)) % 0.51/0.72 (define @t60 () (and @t10 @t59)) % 0.51/0.72 (define @t61 () (forall @t54 (=> @t60 @t50))) % 0.51/0.72 (define @t62 () (not @t43)) % 0.51/0.72 (define @t63 () (tptp.grain @t42)) % 0.51/0.72 (define @t64 () (or @t56 @t63)) % 0.51/0.72 (define @t65 () (and @t3 @t64)) % 0.51/0.72 (define @t66 () (forall @t54 (=> @t65 @t62))) % 0.51/0.72 (define @t67 () (tptp.snail @t42)) % 0.51/0.72 (define @t68 () (and @t14 @t67)) % 0.51/0.72 (define @t69 () (forall @t54 (=> @t68 @t62))) % 0.51/0.72 (define @t70 () (and @t44 @t43)) % 0.51/0.72 (define @t71 () (exists @t45 @t70)) % 0.51/0.72 (define @t72 () (or @t18 @t19)) % 0.51/0.72 (define @t73 () (=> @t72 @t71)) % 0.51/0.72 (define @t74 () (forall @t4 @t73)) % 0.51/0.72 (define @t75 () (tptp.eats @t42 @t30)) % 0.51/0.72 (define @t76 () (tptp.grain @t30)) % 0.51/0.72 (define @t77 () (and @t76 @t75 @t43)) % 0.51/0.72 (define @t78 () (exists @t34 @t77)) % 0.51/0.72 (define @t79 () (tptp.animal @t42)) % 0.51/0.72 (define @t80 () (and @t2 @t79 @t78)) % 0.51/0.72 (define @t81 () (exists @t54 @t80)) % 0.51/0.72 (define @t82 () (not @t81)) % 0.51/0.72 (define @t83 () (@var "BOUND_VARIABLE_7614" $$unsorted)) % 0.51/0.72 (define @t84 () (@var "BOUND_VARIABLE_7612" $$unsorted)) % 0.51/0.72 (define @t85 () (not (tptp.eats @t84 @t83))) % 0.51/0.72 (define @t86 () (not (tptp.plant @t83))) % 0.51/0.72 (define @t87 () (tptp.eats @t1 @t84)) % 0.51/0.72 (define @t88 () (not (tptp.much_smaller @t84 @t1))) % 0.51/0.72 (define @t89 () (not (tptp.animal @t84))) % 0.51/0.72 (define @t90 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 0.51/0.72 (define @t91 () (tptp.eats @t1 @t90)) % 0.51/0.72 (define @t92 () (not (tptp.plant @t90))) % 0.51/0.72 (define @t93 () (not @t2)) % 0.51/0.72 (define @t94 () (or @t93 @t92 @t91 @t89 @t88 @t87 @t86 @t85)) % 0.51/0.72 (define @t95 () (or @t89 @t88 @t87 @t86 @t85)) % 0.51/0.72 (define @t96 () (or @t92 @t91)) % 0.51/0.72 (define @t97 () (or @t93 @t96 @t95)) % 0.51/0.72 (define @t98 () (@list @t1 @t90 @t84 @t83)) % 0.51/0.72 (define @t99 () (forall @t98 @t97)) % 0.51/0.72 (define @t100 () (forall (@list @t90 @t84 @t83) @t97)) % 0.51/0.72 (define @t101 () (forall (@list @t84 @t83) @t95)) % 0.51/0.72 (define @t102 () (@var "BOUND_VARIABLE_7588" $$unsorted)) % 0.51/0.72 (define @t103 () (forall (@list @t90) @t96)) % 0.51/0.72 (define @t104 () (or @t93 @t103 @t101)) % 0.51/0.72 (define @t105 () (not (tptp.eats @t28 @t102))) % 0.51/0.72 (define @t106 () (not (tptp.plant @t102))) % 0.51/0.72 (define @t107 () (not @t36)) % 0.51/0.72 (define @t108 () (not @t37)) % 0.51/0.72 (define @t109 () (or @t108 @t107 @t29 @t106 @t105)) % 0.51/0.72 (define @t110 () (@list @t28 @t102)) % 0.51/0.72 (define @t111 () (forall @t110 @t109)) % 0.51/0.72 (define @t112 () (not @t44)) % 0.51/0.72 (define @t113 () (forall @t45 (or @t112 @t43))) % 0.51/0.72 (define @t114 () (or @t93 @t113 @t111)) % 0.51/0.72 (define @t115 () (or @t113 @t111)) % 0.51/0.72 (define @t116 () (or @t106 @t105)) % 0.51/0.72 (define @t117 () (or @t108 @t107 @t116 @t29)) % 0.51/0.72 (define @t118 () (forall @t110 @t117)) % 0.51/0.72 (define @t119 () (@list @t102)) % 0.51/0.72 (define @t120 () (forall @t119 @t117)) % 0.51/0.72 (define @t121 () (forall @t119 @t116)) % 0.51/0.72 (define @t122 () (@list @t30)) % 0.51/0.72 (define @t123 () (or @t108 @t107 @t121 @t29)) % 0.51/0.72 (define @t124 () (forall @t34 (or (not @t32) (not @t31)))) % 0.51/0.72 (define @t125 () (or @t108 @t107 @t124 @t29)) % 0.51/0.72 (define @t126 () (not @t124)) % 0.51/0.72 (define @t127 () (not @t126)) % 0.51/0.72 (define @t128 () (or @t108 @t107 @t127)) % 0.51/0.72 (define @t129 () (and @t37 @t36 @t126)) % 0.51/0.72 (define @t130 () (forall @t34 (not @t33))) % 0.51/0.72 (define @t131 () (not @t130)) % 0.51/0.72 (define @t132 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 0.51/0.72 (define @t133 () (not (tptp.eats @t42 @t132))) % 0.51/0.72 (define @t134 () (not (tptp.grain @t132))) % 0.51/0.72 (define @t135 () (not @t79)) % 0.51/0.72 (define @t136 () (or @t93 @t135 @t62 @t134 @t133)) % 0.51/0.72 (define @t137 () (@list @t1 @t42 @t132)) % 0.51/0.72 (define @t138 () (or @t134 @t133)) % 0.51/0.72 (define @t139 () (or @t93 @t135 @t62 @t138)) % 0.51/0.72 (define @t140 () (forall @t137 @t139)) % 0.51/0.72 (define @t141 () (@list @t132)) % 0.51/0.72 (define @t142 () (forall @t141 @t139)) % 0.51/0.72 (define @t143 () (forall @t141 @t138)) % 0.51/0.72 (define @t144 () (or @t93 @t135 @t62 @t143)) % 0.51/0.72 (define @t145 () (not @t75)) % 0.51/0.72 (define @t146 () (not @t76)) % 0.51/0.72 (define @t147 () (or @t146 @t145)) % 0.51/0.72 (define @t148 () (forall @t34 @t147)) % 0.51/0.72 (define @t149 () (or @t93 @t135 @t62 @t148)) % 0.51/0.72 (define @t150 () (or @t62 @t148)) % 0.51/0.72 (define @t151 () (not @t150)) % 0.51/0.72 (define @t152 () (not @t151)) % 0.51/0.72 (define @t153 () (or @t93 @t135 @t152)) % 0.51/0.72 (define @t154 () (and @t2 @t79 @t151)) % 0.51/0.72 (define @t155 () (forall @t54 (not @t154))) % 0.51/0.72 (define @t156 () (not @t155)) % 0.51/0.72 (define @t157 () (or @t62 @t147)) % 0.51/0.72 (define @t158 () (or @t146 @t145 @t62)) % 0.51/0.72 (define @t159 () (forall @t34 (not @t77))) % 0.51/0.72 (define @t160 () (not @t159)) % 0.51/0.72 (define @t161 () (forall @t4 (not @t23))) % 0.51/0.72 (define @t162 () (@quantifiers_skolemize @t161 0)) % 0.51/0.72 (define @t163 () (forall @t8 (not @t16))) % 0.51/0.72 (define @t164 () (@quantifiers_skolemize @t163 0)) % 0.51/0.72 (define @t165 () (forall @t8 (not @t12))) % 0.51/0.72 (define @t166 () (@quantifiers_skolemize @t165 0)) % 0.51/0.72 (define @t167 () (forall @t8 (not @t21))) % 0.51/0.72 (define @t168 () (@quantifiers_skolemize @t167 0)) % 0.51/0.72 (define @t169 () (forall @t45 (or @t112 (not (tptp.eats @t168 @t42))))) % 0.51/0.72 (define @t170 () (@quantifiers_skolemize @t169 0)) % 0.51/0.72 (define @t171 () (not @t56)) % 0.51/0.72 (define @t172 () (not @t14)) % 0.51/0.72 (define @t173 () (not @t163)) % 0.51/0.72 (define @t174 () (tptp.bird @t164)) % 0.51/0.72 (define @t175 () (not @t174)) % 0.51/0.72 (define @t176 () (not @t175)) % 0.51/0.72 (define @t177 () (@list true)) % 0.51/0.72 (define @t178 () (not @t165)) % 0.51/0.72 (define @t179 () (tptp.fox @t166)) % 0.51/0.72 (define @t180 () (not @t179)) % 0.51/0.72 (define @t181 () (not @t180)) % 0.51/0.72 (define @t182 () (tptp.much_smaller @t164 @t166)) % 0.51/0.72 (define @t183 () (or @t175 @t180 @t182)) % 0.51/0.72 (define @t184 () (@list false false false)) % 0.51/0.72 (define @t185 () (forall @t8 (not @t7))) % 0.51/0.72 (define @t186 () (@quantifiers_skolemize @t185 0)) % 0.51/0.72 (define @t187 () (and @t171 (not @t63))) % 0.51/0.72 (define @t188 () (not @t3)) % 0.51/0.72 (define @t189 () (and @t180 (not (tptp.grain @t166)))) % 0.51/0.72 (define @t190 () (not @t189)) % 0.51/0.72 (define @t191 () (@list false)) % 0.51/0.72 (define @t192 () (not @t185)) % 0.51/0.72 (define @t193 () (tptp.wolf @t186)) % 0.51/0.72 (define @t194 () (not @t193)) % 0.51/0.72 (define @t195 () (not @t194)) % 0.51/0.72 (define @t196 () (tptp.eats @t186 @t166)) % 0.51/0.72 (define @t197 () (not @t196)) % 0.51/0.72 (define @t198 () (or @t194 @t189 @t197)) % 0.51/0.72 (define @t199 () (@list false true false)) % 0.51/0.72 (define @t200 () (not @t59)) % 0.51/0.72 (define @t201 () (not @t10)) % 0.51/0.72 (define @t202 () (tptp.much_smaller @t166 @t186)) % 0.51/0.72 (define @t203 () (or @t180 @t194 @t202)) % 0.51/0.72 (define @t204 () (not @t161)) % 0.51/0.72 (define @t205 () (tptp.grain @t162)) % 0.51/0.72 (define @t206 () (not @t205)) % 0.51/0.72 (define @t207 () (not @t206)) % 0.51/0.72 (define @t208 () (and (not (tptp.fox @t162)) @t206)) % 0.51/0.72 (define @t209 () (not @t208)) % 0.51/0.72 (define @t210 () (tptp.eats @t186 @t162)) % 0.51/0.72 (define @t211 () (not @t210)) % 0.51/0.72 (define @t212 () (or @t194 @t208 @t211)) % 0.51/0.72 (define @t213 () (tptp.plant @t162)) % 0.51/0.72 (define @t214 () (or @t206 @t213)) % 0.51/0.72 (define @t215 () (@list false false)) % 0.51/0.72 (define @t216 () (tptp.animal @t166)) % 0.51/0.72 (define @t217 () (or @t180 @t216)) % 0.51/0.72 (define @t218 () (tptp.animal @t186)) % 0.51/0.72 (define @t219 () (or @t194 @t218)) % 0.51/0.72 (define @t220 () (tptp.eats @t166 @t162)) % 0.51/0.72 (define @t221 () (not @t220)) % 0.51/0.72 (define @t222 () (not @t213)) % 0.51/0.72 (define @t223 () (not @t202)) % 0.51/0.72 (define @t224 () (not @t216)) % 0.51/0.72 (define @t225 () (not @t218)) % 0.51/0.72 (define @t226 () (or @t225 @t222 @t210 @t224 @t223 @t196 @t222 @t221)) % 0.51/0.72 (define @t227 () (and (not @t19) (not @t18))) % 0.51/0.72 (define @t228 () (not @t52)) % 0.51/0.72 (define @t229 () (not @t167)) % 0.51/0.72 (define @t230 () (tptp.snail @t168)) % 0.51/0.72 (define @t231 () (not @t230)) % 0.51/0.72 (define @t232 () (not @t231)) % 0.51/0.72 (define @t233 () (not (tptp.caterpillar @t168))) % 0.51/0.72 (define @t234 () (and @t231 @t233)) % 0.51/0.72 (define @t235 () (not @t234)) % 0.51/0.72 (define @t236 () (@list @t230)) % 0.51/0.72 (define @t237 () (tptp.much_smaller @t168 @t164)) % 0.51/0.72 (define @t238 () (or @t175 @t234 @t237)) % 0.51/0.72 (define @t239 () (not @t67)) % 0.51/0.72 (define @t240 () (tptp.eats @t164 @t168)) % 0.51/0.72 (define @t241 () (not @t240)) % 0.51/0.72 (define @t242 () (or @t175 @t231 @t241)) % 0.51/0.72 (define @t243 () (not (forall @t45 (or @t112 @t62)))) % 0.51/0.72 (define @t244 () (forall @t45 (not @t70))) % 0.51/0.72 (define @t245 () (not @t244)) % 0.51/0.72 (define @t246 () (@list @t168)) % 0.51/0.72 (define @t247 () (and @t233 @t231)) % 0.51/0.72 (define @t248 () (not @t247)) % 0.51/0.72 (define @t249 () (not @t169)) % 0.51/0.72 (define @t250 () (or @t247 @t249)) % 0.51/0.72 (define @t251 () (@list true false)) % 0.51/0.72 (define @t252 () (tptp.eats @t168 @t170)) % 0.51/0.72 (define @t253 () (not @t252)) % 0.51/0.72 (define @t254 () (tptp.plant @t170)) % 0.51/0.72 (define @t255 () (not @t254)) % 0.51/0.72 (define @t256 () (or @t255 @t253)) % 0.51/0.72 (define @t257 () (@list @t256)) % 0.51/0.72 (define @t258 () (tptp.animal @t168)) % 0.51/0.72 (define @t259 () (or @t231 @t258)) % 0.51/0.72 (define @t260 () (tptp.animal @t164)) % 0.51/0.72 (define @t261 () (or @t175 @t260)) % 0.51/0.72 (define @t262 () (not @t237)) % 0.51/0.72 (define @t263 () (not @t258)) % 0.51/0.72 (define @t264 () (tptp.eats @t164 @t170)) % 0.51/0.72 (define @t265 () (not @t260)) % 0.51/0.72 (define @t266 () (or @t265 @t255 @t264 @t263 @t262 @t240 @t255 @t253)) % 0.51/0.72 (define @t267 () (not @t264)) % 0.51/0.72 (define @t268 () (tptp.eats @t166 @t164)) % 0.51/0.72 (define @t269 () (not @t182)) % 0.51/0.72 (define @t270 () (or @t224 @t222 @t220 @t265 @t269 @t268 @t255 @t267)) % 0.51/0.72 (define @t271 () (tptp.eats @t164 @t162)) % 0.51/0.72 (define @t272 () (not @t271)) % 0.51/0.72 (define @t273 () (not @t268)) % 0.51/0.72 (define @t274 () (or @t224 @t265 @t273 @t206 @t272)) % 0.51/0.72 (define @t275 () (or @t265 @t222 @t271 @t263 @t262 @t240 @t255 @t253)) % 0.51/0.72 (define @t276 () (not @t275)) % 0.51/0.72 (define @t277 () (forall @t98 @t94)) % 0.51/0.72 (assume @p1 @t5) % 0.51/0.72 (assume @p2 @t9) % 0.51/0.72 (assume @p3 @t11) % 0.51/0.72 (assume @p4 @t13) % 0.51/0.72 (assume @p5 @t15) % 0.51/0.72 (assume @p6 @t17) % 0.51/0.72 (assume @p7 (forall @t4 (=> @t18 @t2))) % 0.51/0.72 (assume @p8 (exists @t8 (tptp.caterpillar @t6))) % 0.51/0.72 (assume @p9 @t20) % 0.51/0.72 (assume @p10 @t22) % 0.51/0.72 (assume @p11 @t24) % 0.51/0.72 (assume @p12 @t27) % 0.51/0.72 (assume @p13 @t49) % 0.51/0.72 (assume @p14 @t55) % 0.51/0.72 (assume @p15 @t58) % 0.51/0.72 (assume @p16 @t61) % 0.51/0.72 (assume @p17 @t66) % 0.51/0.72 (assume @p18 (forall @t54 (=> (and @t14 (tptp.caterpillar 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:premises (@p246 @p245) :args ((=> @t204 @t207))) % 0.51/0.72 (assume-push @p411 @t204) % 0.51/0.72 (step @p249 :rule skolemize :premises (@p241)) % 0.51/0.72 (step-pop @p412 :rule scope :premises (@p249)) % 0.51/0.72 (step @p250 :rule process_scope :premises (@p412) :args (@t207)) % 0.51/0.72 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 0.51/0.72 (step @p253 :rule implies_elim :premises (@p252)) % 0.51/0.72 (step @p254 :rule eq_resolve :premises (@p253 @p244)) % 0.51/0.72 (step @p255 :rule chain_m_resolution :premises (@p254 @p241) :args (@t205 @t177 (@list @t161))) % 0.51/0.72 (step @p256 :rule cnf_and_pos :args (@t208 1)) % 0.51/0.72 (step @p257 :rule reordering :premises (@p256) :args ((or @t206 @t209))) % 0.51/0.72 (step @p258 :rule chain_m_resolution :premises (@p257 @p255) :args (@t209 @t191 (@list @t205))) % 0.51/0.72 (step @p259 :rule cnf_or_pos :args (@t212)) % 0.51/0.72 (step @p260 :rule reordering :premises (@p259) :args ((or @t194 @t211 @t208 (not @t212)))) % 0.51/0.72 (step @p261 :rule chain_m_resolution :premises (@p260 @p223 @p258 @p239) :args (@t211 @t199 (@list @t193 @t208 @t212))) % 0.51/0.72 (step @p262 :rule bool-impl-elim :args (@t26 @t25)) % 0.51/0.72 (step @p263 :rule cong :premises (@p262) :args (@t27)) % 0.51/0.72 (step @p264 :rule eq_resolve :premises (@p12 @p263)) % 0.51/0.72 (step @p265 :rule instantiate :premises (@p264) :args ((@list @t162))) % 0.51/0.72 (step @p266 :rule cnf_or_pos :args (@t214)) % 0.51/0.72 (step @p267 :rule reordering :premises (@p266) :args ((or @t206 @t213 (not @t214)))) % 0.51/0.72 (step @p268 :rule chain_m_resolution :premises (@p267 @p255 @p265) :args (@t213 @t215 (@list @t205 @t214))) % 0.51/0.72 (step @p269 :rule bool-impl-elim :args (@t10 @t2)) % 0.51/0.72 (step @p270 :rule cong :premises (@p269) :args (@t11)) % 0.51/0.72 (step @p271 :rule eq_resolve :premises (@p3 @p270)) % 0.51/0.72 (step @p272 :rule instantiate :premises (@p271) :args ((@list @t166))) % 0.51/0.72 (step @p273 :rule cnf_or_pos :args (@t217)) % 0.51/0.72 (step @p274 :rule reordering :premises (@p273) :args ((or @t180 @t216 (not @t217)))) % 0.51/0.72 (step @p275 :rule chain_m_resolution :premises (@p274 @p187 @p272) :args (@t216 @t215 (@list @t179 @t217))) % 0.51/0.72 (step @p276 :rule bool-impl-elim :args (@t3 @t2)) % 0.51/0.72 (step @p277 :rule cong :premises (@p276) :args (@t5)) % 0.51/0.72 (step @p278 :rule eq_resolve :premises (@p1 @p277)) % 0.51/0.72 (step @p279 :rule instantiate :premises (@p278) :args ((@list @t186))) % 0.51/0.72 (step @p280 :rule cnf_or_pos :args (@t219)) % 0.51/0.72 (step @p281 :rule reordering :premises (@p280) :args ((or @t194 @t218 (not @t219)))) % 0.51/0.72 (step @p282 :rule chain_m_resolution :premises (@p281 @p223 @p279) :args (@t218 @t215 (@list @t193 @t219))) % 0.51/0.72 (step @p283 :rule cnf_or_pos :args (@t226)) % 0.51/0.72 (step @p284 :rule factoring :premises (@p283)) % 0.51/0.72 (step @p285 :rule reordering :premises (@p284) :args ((or @t225 @t224 @t222 @t210 @t223 @t196 @t221 (not @t226)))) % 0.51/0.72 (step @p286 :rule chain_m_resolution :premises (@p285 @p282 @p275 @p268 @p261 @p238 @p226 @p191) :args (@t221 (@list false false false true false true false) (@list @t218 @t216 @t213 @t210 @t202 @t196 @t226))) % 0.51/0.72 (step @p287 :rule instantiate :premises (@p90) :args ((@list @t164 @t170 @t168 @t170))) % 0.51/0.72 (step @p288 :rule aci_norm :args ((= (or (or @t228 @t227) @t50) (or @t228 @t227 @t50)))) % 0.51/0.72 (step @p289 :rule bool-or-de-morgan :args (@t19 @t18 false)) % 0.51/0.72 (step @p290 :rule refl :args (@t228)) % 0.51/0.72 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t228 (not @t51)))) % 0.51/0.72 (step @p292 :rule bool-and-de-morgan :args (@t52 @t51 true)) % 0.51/0.72 (step @p293 :rule trans :premises (@p292 @p291)) % 0.51/0.72 (step @p294 :rule nary_cong :premises (@p293 @p147) :args ((or (not @t53) @t50))) % 0.51/0.72 (step @p295 :rule trans :premises (@p294 @p288)) % 0.51/0.72 (step @p296 :rule bool-impl-elim :args (@t53 @t50)) % 0.51/0.72 (step @p297 :rule trans :premises (@p296 @p295)) % 0.51/0.72 (step @p298 :rule cong :premises (@p297) :args (@t55)) % 0.51/0.72 (step @p299 :rule eq_resolve :premises (@p14 @p298)) % 0.51/0.72 (step @p300 :rule instantiate :premises (@p299) :args ((@list @t168 @t164))) % 0.51/0.72 (step @p301 :rule exists-elim :args ((= @t22 @t229))) % 0.51/0.72 (step @p302 :rule eq_resolve :premises (@p10 @p301)) % 0.51/0.72 (step @p303 :rule refl :args (@t230)) % 0.51/0.72 (step @p304 :rule bool-double-not-elim :args (@t167)) % 0.51/0.72 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or (not @t229) @t230))) % 0.51/0.72 (step @p306 :rule bool-double-not-elim :args (@t230)) % 0.51/0.72 (step @p307 :rule refl :args (@t229)) % 0.51/0.72 (step @p308 :rule cong :premises (@p307 @p306) :args ((=> @t229 @t232))) % 0.51/0.72 (assume-push @p413 @t229) % 0.51/0.72 (step @p310 :rule skolemize :premises (@p302)) % 0.51/0.72 (step-pop @p414 :rule scope :premises (@p310)) % 0.51/0.72 (step @p311 :rule process_scope :premises (@p414) :args (@t232)) % 0.51/0.72 (step @p313 :rule eq_resolve :premises (@p311 @p308)) % 0.51/0.72 (step @p314 :rule implies_elim :premises (@p313)) % 0.51/0.72 (step @p315 :rule eq_resolve :premises (@p314 @p305)) % 0.51/0.72 (step @p316 :rule chain_m_resolution :premises (@p315 @p302) :args (@t230 @t177 (@list @t167))) % 0.51/0.72 (step @p317 :rule cnf_and_pos :args (@t234 0)) % 0.51/0.72 (step @p318 :rule reordering :premises (@p317) :args ((or @t231 @t235))) % 0.51/0.72 (step @p319 :rule chain_m_resolution :premises (@p318 @p316) :args (@t235 @t191 @t236)) % 0.51/0.72 (step @p320 :rule cnf_or_pos :args (@t238)) % 0.51/0.72 (step @p321 :rule reordering :premises (@p320) :args ((or @t175 @t234 @t237 (not @t238)))) % 0.51/0.72 (step @p322 :rule chain_m_resolution :premises (@p321 @p171 @p319 @p300) :args (@t237 @t199 (@list @t174 @t234 @t238))) % 0.51/0.72 (step @p323 :rule aci_norm :args ((= (or (or @t172 @t239) @t62) (or @t172 @t239 @t62)))) % 0.51/0.72 (step @p324 :rule bool-and-de-morgan :args (@t14 @t67 true)) % 0.51/0.72 (step @p325 :rule nary_cong :premises (@p324 @p96) :args ((or (not @t68) @t62))) % 0.51/0.72 (step @p326 :rule trans :premises (@p325 @p323)) % 0.51/0.72 (step @p327 :rule bool-impl-elim :args (@t68 @t62)) % 0.51/0.72 (step @p328 :rule trans :premises (@p327 @p326)) % 0.51/0.72 (step @p329 :rule cong :premises (@p328) :args (@t69)) % 0.51/0.72 (step @p330 :rule eq_resolve :premises (@p19 @p329)) % 0.51/0.72 (step @p331 :rule instantiate :premises (@p330) :args ((@list @t164 @t168))) % 0.51/0.72 (step @p332 :rule cnf_or_pos :args (@t242)) % 0.51/0.72 (step @p333 :rule reordering :premises (@p332) :args ((or @t175 @t231 @t241 (not @t242)))) % 0.51/0.72 (step @p334 :rule chain_m_resolution :premises (@p333 @p171 @p316 @p331) :args (@t241 @t184 (@list @t174 @t230 @t242))) % 0.51/0.72 (step @p335 :rule refl :args (@t243)) % 0.51/0.72 (step @p336 :rule bool-or-de-morgan :args (@t18 @t19 false)) % 0.51/0.72 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or (not @t72) @t243))) % 0.51/0.72 (step @p338 :rule bool-impl-elim :args (@t72 @t243)) % 0.51/0.72 (step @p339 :rule trans :premises (@p338 @p337)) % 0.51/0.72 (step @p340 :rule cong :premises (@p339) :args ((forall @t4 (=> @t72 @t243)))) % 0.51/0.72 (step @p341 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.51/0.72 (step @p342 :rule cong :premises (@p341) :args (@t244)) % 0.51/0.72 (step @p343 :rule cong :premises (@p342) :args (@t245)) % 0.51/0.72 (step @p344 :rule exists-elim :args ((= @t71 @t245))) % 0.51/0.72 (step @p345 :rule trans :premises (@p344 @p343)) % 0.51/0.72 (step @p346 :rule refl :args (@t72)) % 0.51/0.72 (step @p347 :rule cong :premises (@p346 @p345) :args (@t73)) % 0.51/0.72 (step @p348 :rule cong :premises (@p347) :args (@t74)) % 0.51/0.72 (step @p349 :rule trans :premises (@p348 @p340)) % 0.51/0.72 (step @p350 :rule eq_resolve :premises (@p20 @p349)) % 0.51/0.72 (step @p351 :rule instantiate :premises (@p350) :args (@t246)) % 0.51/0.72 (step @p352 :rule cnf_and_pos :args (@t247 1)) % 0.51/0.72 (step @p353 :rule reordering :premises (@p352) :args ((or @t231 @t248))) % 0.51/0.72 (step @p354 :rule chain_m_resolution :premises (@p353 @p316) :args (@t248 @t191 @t236)) % 0.51/0.72 (step @p355 :rule cnf_or_pos :args (@t250)) % 0.51/0.72 (step @p356 :rule reordering :premises (@p355) :args ((or @t247 @t249 (not @t250)))) % 0.51/0.72 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p351) :args (@t249 @t251 (@list @t247 @t250))) % 0.51/0.72 (step @p358 :rule skolemize :premises (@p357)) % 0.51/0.72 (step @p359 :rule bool-double-not-elim :args (@t252)) % 0.51/0.72 (step @p360 :rule refl :args (@t256)) % 0.51/0.72 (step @p361 :rule nary_cong :premises (@p360 @p359) :args ((or @t256 (not @t253)))) % 0.51/0.72 (step @p362 :rule cnf_or_neg :args (@t256 1)) % 0.51/0.72 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 0.51/0.72 (step @p364 :rule reordering :premises (@p363) :args ((or @t252 @t256))) % 0.51/0.72 (step @p365 :rule chain_m_resolution :premises (@p364 @p358) :args (@t252 @t177 @t257)) % 0.51/0.72 (step @p366 :rule bool-double-not-elim :args (@t254)) % 0.51/0.72 (step @p367 :rule nary_cong :premises (@p360 @p366) :args ((or @t256 (not @t255)))) % 0.51/0.72 (step @p368 :rule cnf_or_neg :args (@t256 0)) % 0.51/0.72 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.51/0.72 (step @p370 :rule reordering :premises (@p369) :args ((or @t254 @t256))) % 0.51/0.72 (step @p371 :rule chain_m_resolution :premises (@p370 @p358) :args (@t254 @t177 @t257)) % 0.51/0.72 (step @p372 :rule bool-impl-elim :args (@t19 @t2)) % 0.51/0.72 (step @p373 :rule cong :premises (@p372) :args (@t20)) % 0.51/0.72 (step @p374 :rule eq_resolve :premises (@p9 @p373)) % 0.51/0.72 (step @p375 :rule instantiate :premises (@p374) :args (@t246)) % 0.51/0.72 (step @p376 :rule cnf_or_pos :args (@t259)) % 0.51/0.72 (step @p377 :rule reordering :premises (@p376) :args ((or @t231 @t258 (not @t259)))) % 0.51/0.72 (step @p378 :rule chain_m_resolution :premises (@p377 @p316 @p375) :args (@t258 @t215 (@list @t230 @t259))) % 0.51/0.72 (step @p379 :rule bool-impl-elim :args (@t14 @t2)) % 0.51/0.72 (step @p380 :rule cong :premises (@p379) :args (@t15)) % 0.51/0.72 (step @p381 :rule eq_resolve :premises (@p5 @p380)) % 0.51/0.72 (step @p382 :rule instantiate :premises (@p381) :args ((@list @t164))) % 0.51/0.72 (step @p383 :rule cnf_or_pos :args (@t261)) % 0.51/0.72 (step @p384 :rule reordering :premises (@p383) :args ((or @t175 @t260 (not @t261)))) % 0.51/0.72 (step @p385 :rule chain_m_resolution :premises (@p384 @p171 @p382) :args (@t260 @t215 (@list @t174 @t261))) % 0.51/0.72 (step @p386 :rule cnf_or_pos :args (@t266)) % 0.51/0.72 (step @p387 :rule factoring :premises (@p386)) % 0.51/0.72 (step @p388 :rule reordering :premises (@p387) :args ((or @t265 @t263 @t255 @t253 @t264 @t240 @t262 (not @t266)))) % 0.51/0.72 (step @p389 :rule chain_m_resolution :premises (@p388 @p385 @p378 @p371 @p365 @p334 @p322 @p287) :args (@t264 (@list false false false false true false false) (@list @t260 @t258 @t254 @t252 @t240 @t237 @t266))) % 0.51/0.72 (step @p390 :rule cnf_or_pos :args (@t270)) % 0.51/0.72 (step @p391 :rule reordering :premises (@p390) :args ((or @t224 @t265 @t222 @t255 @t267 @t220 @t269 @t268 (not @t270)))) % 0.51/0.72 (step @p392 :rule chain_m_resolution :premises (@p391 @p275 @p385 @p268 @p371 @p389 @p286 @p190 @p145) :args (@t268 (@list false false false false false true false false) (@list @t216 @t260 @t213 @t254 @t264 @t220 @t182 @t270))) % 0.51/0.72 (step @p393 :rule cnf_or_pos :args (@t274)) % 0.51/0.72 (step @p394 :rule reordering :premises (@p393) :args ((or @t206 @t224 @t265 @t272 @t273 (not @t274)))) % 0.51/0.72 (step @p395 :rule chain_m_resolution :premises (@p394 @p255 @p275 @p385 @p392 @p144) :args (@t272 (@list false false false false false) (@list @t205 @t216 @t260 @t268 @t274))) % 0.51/0.72 (step @p396 :rule cnf_or_pos :args (@t275)) % 0.51/0.72 (step @p397 :rule reordering :premises (@p396) :args ((or @t265 @t263 @t222 @t255 @t253 @t240 @t262 @t271 @t276))) % 0.51/0.72 (step @p398 :rule chain_m_resolution :premises (@p397 @p385 @p378 @p268 @p371 @p365 @p334 @p322 @p395) :args (@t276 (@list false false false false false true false true) (@list @t260 @t258 @t213 @t254 @t252 @t240 @t237 @t271))) % 0.51/0.72 (assume-push @p415 @t277) % 0.51/0.72 (step @p400 :rule instantiate :premises (@p90) :args ((@list @t164 @t162 @t168 @t170))) % 0.51/0.72 (step-pop @p416 :rule scope :premises (@p400)) % 0.51/0.72 (step @p401 :rule process_scope :premises (@p416) :args (@t275)) % 0.51/0.72 (step @p403 :rule implies_elim :premises (@p401)) % 0.51/0.72 (step @p404 false :rule chain_m_resolution :premises (@p403 @p398 @p90) :args (false @t251 (@list @t275 @t277))) % 0.51/0.72 ) % 0.51/0.72 % SZS output end Proof % 0.51/0.72 % cvc5 exiting %------------------------------------------------------------------------------