%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ129+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:44:15 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ129+2 : TPTP v9.2.1. Released v4.0.0. % 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 : n022.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 : Tue Jun 2 13:18:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.industrious $$unsorted) % 0.38/0.59 (declare-const tptp.healthy $$unsorted) % 0.38/0.59 (declare-const tptp.unhealthy $$unsorted) % 0.38/0.59 (declare-const tptp.honest $$unsorted) % 0.38/0.59 (declare-const tptp.property1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.dishonest $$unsorted) % 0.38/0.59 (declare-const tptp.pos $$unsorted) % 0.38/0.59 (declare-const tptp.person (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.grocer (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.cyclist (-> $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "T" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "S" $$unsorted)) % 0.38/0.59 (define @t3 () (= @t2 @t1)) % 0.38/0.59 (define @t4 () (tptp.cyclist @t1)) % 0.38/0.59 (define @t5 () (and @t4 @t3)) % 0.38/0.59 (define @t6 () (@list @t1)) % 0.38/0.59 (define @t7 () (exists @t6 @t5)) % 0.38/0.59 (define @t8 () (not @t7)) % 0.38/0.59 (define @t9 () (tptp.grocer @t2)) % 0.38/0.59 (define @t10 () (=> @t9 @t8)) % 0.38/0.59 (define @t11 () (@list @t2)) % 0.38/0.59 (define @t12 () (forall @t11 @t10)) % 0.38/0.59 (define @t13 () (@var "R" $$unsorted)) % 0.38/0.59 (define @t14 () (@var "Q" $$unsorted)) % 0.38/0.59 (define @t15 () (= @t14 @t13)) % 0.38/0.59 (define @t16 () (tptp.person @t13)) % 0.38/0.59 (define @t17 () (and @t16 @t15)) % 0.38/0.59 (define @t18 () (@list @t13)) % 0.38/0.59 (define @t19 () (exists @t18 @t17)) % 0.38/0.59 (define @t20 () (tptp.cyclist @t14)) % 0.38/0.59 (define @t21 () (=> @t20 @t19)) % 0.38/0.59 (define @t22 () (@list @t14)) % 0.38/0.59 (define @t23 () (forall @t22 @t21)) % 0.38/0.59 (define @t24 () (@var "P" $$unsorted)) % 0.38/0.59 (define @t25 () (@var "O" $$unsorted)) % 0.38/0.59 (define @t26 () (= @t25 @t24)) % 0.38/0.59 (define @t27 () (tptp.person @t24)) % 0.38/0.59 (define @t28 () (and @t27 @t26)) % 0.38/0.59 (define @t29 () (@list @t24)) % 0.38/0.59 (define @t30 () (exists @t29 @t28)) % 0.38/0.59 (define @t31 () (tptp.grocer @t25)) % 0.38/0.59 (define @t32 () (=> @t31 @t30)) % 0.38/0.59 (define @t33 () (@list @t25)) % 0.38/0.59 (define @t34 () (forall @t33 @t32)) % 0.38/0.59 (define @t35 () (@var "N" $$unsorted)) % 0.38/0.59 (define @t36 () (@var "M" $$unsorted)) % 0.38/0.59 (define @t37 () (= @t36 @t35)) % 0.38/0.59 (define @t38 () (tptp.property1 @t35 tptp.dishonest tptp.pos)) % 0.38/0.59 (define @t39 () (and @t38 @t37)) % 0.38/0.59 (define @t40 () (@list @t35)) % 0.38/0.59 (define @t41 () (exists @t40 @t39)) % 0.38/0.59 (define @t42 () (not @t41)) % 0.38/0.59 (define @t43 () (tptp.property1 @t36 tptp.honest tptp.pos)) % 0.38/0.59 (define @t44 () (tptp.person @t36)) % 0.38/0.59 (define @t45 () (and @t44 @t43)) % 0.38/0.59 (define @t46 () (=> @t45 @t42)) % 0.38/0.59 (define @t47 () (@list @t36)) % 0.38/0.59 (define @t48 () (forall @t47 @t46)) % 0.38/0.59 (define @t49 () (@var "L" $$unsorted)) % 0.38/0.59 (define @t50 () (@var "K" $$unsorted)) % 0.38/0.59 (define @t51 () (= @t50 @t49)) % 0.38/0.59 (define @t52 () (tptp.property1 @t49 tptp.unhealthy tptp.pos)) % 0.38/0.59 (define @t53 () (and @t52 @t51)) % 0.38/0.59 (define @t54 () (@list @t49)) % 0.38/0.59 (define @t55 () (exists @t54 @t53)) % 0.38/0.59 (define @t56 () (not @t55)) % 0.38/0.59 (define @t57 () (tptp.property1 @t50 tptp.healthy tptp.pos)) % 0.38/0.59 (define @t58 () (tptp.person @t50)) % 0.38/0.59 (define @t59 () (and @t58 @t57)) % 0.38/0.59 (define @t60 () (=> @t59 @t56)) % 0.38/0.59 (define @t61 () (@list @t50)) % 0.38/0.59 (define @t62 () (forall @t61 @t60)) % 0.38/0.59 (define @t63 () (@var "J" $$unsorted)) % 0.38/0.59 (define @t64 () (@var "I" $$unsorted)) % 0.38/0.59 (define @t65 () (= @t64 @t63)) % 0.38/0.59 (define @t66 () (tptp.property1 @t63 tptp.dishonest tptp.pos)) % 0.38/0.59 (define @t67 () (and @t66 @t65)) % 0.38/0.59 (define @t68 () (@list @t63)) % 0.38/0.59 (define @t69 () (exists @t68 @t67)) % 0.38/0.59 (define @t70 () (tptp.property1 @t64 tptp.unhealthy tptp.pos)) % 0.38/0.59 (define @t71 () (tptp.cyclist @t64)) % 0.38/0.59 (define @t72 () (and @t71 @t70)) % 0.38/0.59 (define @t73 () (=> @t72 @t69)) % 0.38/0.59 (define @t74 () (@list @t64)) % 0.38/0.59 (define @t75 () (forall @t74 @t73)) % 0.38/0.59 (define @t76 () (@var "H" $$unsorted)) % 0.38/0.59 (define @t77 () (@var "G" $$unsorted)) % 0.38/0.59 (define @t78 () (= @t77 @t76)) % 0.38/0.59 (define @t79 () (tptp.property1 @t76 tptp.industrious tptp.pos)) % 0.38/0.59 (define @t80 () (and @t79 @t78)) % 0.38/0.59 (define @t81 () (@list @t76)) % 0.38/0.59 (define @t82 () (exists @t81 @t80)) % 0.38/0.59 (define @t83 () (tptp.cyclist @t77)) % 0.38/0.59 (define @t84 () (=> @t83 @t82)) % 0.38/0.59 (define @t85 () (@list @t77)) % 0.38/0.59 (define @t86 () (forall @t85 @t84)) % 0.38/0.59 (define @t87 () (@var "F" $$unsorted)) % 0.38/0.59 (define @t88 () (@var "E" $$unsorted)) % 0.38/0.59 (define @t89 () (= @t88 @t87)) % 0.38/0.59 (define @t90 () (tptp.property1 @t87 tptp.honest tptp.pos)) % 0.38/0.59 (define @t91 () (and @t90 @t89)) % 0.38/0.59 (define @t92 () (@list @t87)) % 0.38/0.59 (define @t93 () (exists @t92 @t91)) % 0.38/0.59 (define @t94 () (tptp.property1 @t88 tptp.industrious tptp.pos)) % 0.38/0.59 (define @t95 () (tptp.grocer @t88)) % 0.38/0.59 (define @t96 () (and @t95 @t94)) % 0.38/0.59 (define @t97 () (=> @t96 @t93)) % 0.38/0.59 (define @t98 () (@list @t88)) % 0.38/0.59 (define @t99 () (forall @t98 @t97)) % 0.38/0.59 (define @t100 () (@var "D" $$unsorted)) % 0.38/0.59 (define @t101 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t102 () (= @t101 @t100)) % 0.38/0.59 (define @t103 () (tptp.property1 @t100 tptp.healthy tptp.pos)) % 0.38/0.59 (define @t104 () (and @t103 @t102)) % 0.38/0.59 (define @t105 () (@list @t100)) % 0.38/0.59 (define @t106 () (exists @t105 @t104)) % 0.38/0.59 (define @t107 () (not @t106)) % 0.38/0.59 (define @t108 () (tptp.grocer @t101)) % 0.38/0.59 (define @t109 () (=> @t108 @t107)) % 0.38/0.59 (define @t110 () (@list @t101)) % 0.38/0.59 (define @t111 () (forall @t110 @t109)) % 0.38/0.59 (define @t112 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t113 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t114 () (= @t113 @t112)) % 0.38/0.59 (define @t115 () (tptp.property1 @t112 tptp.healthy tptp.pos)) % 0.38/0.59 (define @t116 () (and @t115 @t114)) % 0.38/0.59 (define @t117 () (@list @t112)) % 0.38/0.59 (define @t118 () (exists @t117 @t116)) % 0.38/0.59 (define @t119 () (tptp.property1 @t113 tptp.industrious tptp.pos)) % 0.38/0.59 (define @t120 () (tptp.property1 @t113 tptp.honest tptp.pos)) % 0.38/0.59 (define @t121 () (tptp.person @t113)) % 0.38/0.59 (define @t122 () (and @t121 @t120 @t119)) % 0.38/0.59 (define @t123 () (=> @t122 @t118)) % 0.38/0.59 (define @t124 () (@list @t113)) % 0.38/0.59 (define @t125 () (forall @t124 @t123)) % 0.38/0.59 (define @t126 () (and @t125 @t111 @t99 @t86 @t75 @t62 @t48 @t34 @t23)) % 0.38/0.59 (define @t127 () (=> @t126 @t12)) % 0.38/0.59 (define @t128 () (not @t127)) % 0.38/0.59 (define @t129 () (tptp.cyclist @t2)) % 0.38/0.59 (define @t130 () (not @t129)) % 0.38/0.59 (define @t131 () (not (= @t2 @t2))) % 0.38/0.59 (define @t132 () (or @t130 @t131)) % 0.38/0.59 (define @t133 () (not @t3)) % 0.38/0.59 (define @t134 () (not @t4)) % 0.38/0.59 (define @t135 () (or @t133 @t134 @t133)) % 0.38/0.59 (define @t136 () (or @t134 @t133)) % 0.38/0.59 (define @t137 () (forall @t6 (not @t5))) % 0.38/0.59 (define @t138 () (not @t137)) % 0.38/0.59 (define @t139 () (tptp.person @t14)) % 0.38/0.59 (define @t140 () (not @t139)) % 0.38/0.59 (define @t141 () (not (= @t14 @t14))) % 0.38/0.59 (define @t142 () (or @t140 @t141)) % 0.38/0.59 (define @t143 () (not @t15)) % 0.38/0.59 (define @t144 () (not @t16)) % 0.38/0.59 (define @t145 () (or @t143 @t144 @t143)) % 0.38/0.59 (define @t146 () (or @t144 @t143)) % 0.38/0.59 (define @t147 () (forall @t18 (not @t17))) % 0.38/0.59 (define @t148 () (not @t147)) % 0.38/0.59 (define @t149 () (tptp.person @t25)) % 0.38/0.59 (define @t150 () (not @t149)) % 0.38/0.59 (define @t151 () (not (= @t25 @t25))) % 0.38/0.59 (define @t152 () (or @t150 @t151)) % 0.38/0.59 (define @t153 () (not @t26)) % 0.38/0.59 (define @t154 () (not @t27)) % 0.38/0.59 (define @t155 () (or @t153 @t154 @t153)) % 0.38/0.59 (define @t156 () (or @t154 @t153)) % 0.38/0.59 (define @t157 () (forall @t29 (not @t28))) % 0.38/0.59 (define @t158 () (not @t157)) % 0.38/0.59 (define @t159 () (tptp.property1 @t36 tptp.dishonest tptp.pos)) % 0.38/0.59 (define @t160 () (not @t159)) % 0.38/0.59 (define @t161 () (not @t43)) % 0.38/0.59 (define @t162 () (not @t44)) % 0.38/0.59 (define @t163 () (not (= @t36 @t36))) % 0.38/0.59 (define @t164 () (or @t160 @t163)) % 0.38/0.59 (define @t165 () (not @t37)) % 0.38/0.59 (define @t166 () (not @t38)) % 0.38/0.59 (define @t167 () (or @t165 @t166 @t165)) % 0.38/0.59 (define @t168 () (or @t166 @t165)) % 0.38/0.59 (define @t169 () (forall @t40 (not @t39))) % 0.38/0.59 (define @t170 () (not @t169)) % 0.38/0.59 (define @t171 () (tptp.property1 @t50 tptp.unhealthy tptp.pos)) % 0.38/0.59 (define @t172 () (not @t171)) % 0.38/0.59 (define @t173 () (not @t57)) % 0.38/0.59 (define @t174 () (not @t58)) % 0.38/0.59 (define @t175 () (not (= @t50 @t50))) % 0.38/0.59 (define @t176 () (or @t172 @t175)) % 0.38/0.59 (define @t177 () (not @t51)) % 0.38/0.59 (define @t178 () (not @t52)) % 0.38/0.59 (define @t179 () (or @t177 @t178 @t177)) % 0.38/0.59 (define @t180 () (or @t178 @t177)) % 0.38/0.59 (define @t181 () (forall @t54 (not @t53))) % 0.38/0.59 (define @t182 () (not @t181)) % 0.38/0.59 (define @t183 () (tptp.property1 @t64 tptp.dishonest tptp.pos)) % 0.38/0.59 (define @t184 () (not @t70)) % 0.38/0.59 (define @t185 () (not @t71)) % 0.38/0.59 (define @t186 () (not @t183)) % 0.38/0.59 (define @t187 () (not (= @t64 @t64))) % 0.38/0.59 (define @t188 () (or @t186 @t187)) % 0.38/0.59 (define @t189 () (not @t65)) % 0.38/0.59 (define @t190 () (not @t66)) % 0.38/0.59 (define @t191 () (or @t189 @t190 @t189)) % 0.38/0.59 (define @t192 () (or @t190 @t189)) % 0.38/0.59 (define @t193 () (forall @t68 (not @t67))) % 0.38/0.59 (define @t194 () (not @t193)) % 0.38/0.59 (define @t195 () (tptp.property1 @t77 tptp.industrious tptp.pos)) % 0.38/0.59 (define @t196 () (not @t195)) % 0.38/0.59 (define @t197 () (not (= @t77 @t77))) % 0.38/0.59 (define @t198 () (or @t196 @t197)) % 0.38/0.59 (define @t199 () (not @t78)) % 0.38/0.59 (define @t200 () (not @t79)) % 0.38/0.59 (define @t201 () (or @t199 @t200 @t199)) % 0.38/0.59 (define @t202 () (or @t200 @t199)) % 0.38/0.59 (define @t203 () (forall @t81 (not @t80))) % 0.38/0.59 (define @t204 () (not @t203)) % 0.38/0.59 (define @t205 () (tptp.property1 @t88 tptp.honest tptp.pos)) % 0.38/0.59 (define @t206 () (not @t94)) % 0.38/0.59 (define @t207 () (not @t95)) % 0.38/0.59 (define @t208 () (not @t205)) % 0.38/0.59 (define @t209 () (not (= @t88 @t88))) % 0.38/0.59 (define @t210 () (or @t208 @t209)) % 0.38/0.59 (define @t211 () (not @t89)) % 0.38/0.59 (define @t212 () (not @t90)) % 0.38/0.59 (define @t213 () (or @t211 @t212 @t211)) % 0.38/0.59 (define @t214 () (or @t212 @t211)) % 0.38/0.59 (define @t215 () (forall @t92 (not @t91))) % 0.38/0.59 (define @t216 () (not @t215)) % 0.38/0.59 (define @t217 () (tptp.property1 @t101 tptp.healthy tptp.pos)) % 0.38/0.59 (define @t218 () (not @t217)) % 0.38/0.59 (define @t219 () (not (= @t101 @t101))) % 0.38/0.59 (define @t220 () (or @t218 @t219)) % 0.38/0.59 (define @t221 () (not @t102)) % 0.38/0.59 (define @t222 () (not @t103)) % 0.38/0.59 (define @t223 () (or @t221 @t222 @t221)) % 0.38/0.59 (define @t224 () (or @t222 @t221)) % 0.38/0.59 (define @t225 () (forall @t105 (not @t104))) % 0.38/0.59 (define @t226 () (not @t225)) % 0.38/0.59 (define @t227 () (tptp.property1 @t113 tptp.healthy tptp.pos)) % 0.38/0.59 (define @t228 () (not @t119)) % 0.38/0.59 (define @t229 () (not @t120)) % 0.38/0.59 (define @t230 () (not @t121)) % 0.38/0.59 (define @t231 () (or @t230 @t229 @t228 @t227)) % 0.38/0.59 (define @t232 () (or @t230 @t229 @t228)) % 0.38/0.59 (define @t233 () (not @t227)) % 0.38/0.60 (define @t234 () (not (= @t113 @t113))) % 0.38/0.60 (define @t235 () (or @t233 @t234)) % 0.38/0.60 (define @t236 () (not @t114)) % 0.38/0.60 (define @t237 () (not @t115)) % 0.38/0.60 (define @t238 () (or @t236 @t237 @t236)) % 0.38/0.60 (define @t239 () (or @t237 @t236)) % 0.38/0.60 (define @t240 () (forall @t117 (not @t116))) % 0.38/0.60 (define @t241 () (not @t240)) % 0.38/0.60 (define @t242 () (@quantifiers_skolemize (forall @t11 (or (not @t9) @t130)) 0)) % 0.38/0.60 (define @t243 () (@list @t242)) % 0.38/0.60 (define @t244 () (tptp.grocer @t242)) % 0.38/0.60 (define @t245 () (tptp.cyclist @t242)) % 0.38/0.60 (define @t246 () (not @t245)) % 0.38/0.60 (define @t247 () (not @t244)) % 0.38/0.60 (define @t248 () (or @t247 @t246)) % 0.38/0.60 (define @t249 () (@list true)) % 0.38/0.60 (define @t250 () (@list @t248)) % 0.38/0.60 (define @t251 () (tptp.person @t242)) % 0.38/0.60 (define @t252 () (or @t247 @t251)) % 0.38/0.60 (define @t253 () (@list false false)) % 0.38/0.60 (define @t254 () (tptp.property1 @t242 tptp.industrious tptp.pos)) % 0.38/0.60 (define @t255 () (or @t246 @t254)) % 0.38/0.60 (define @t256 () (tptp.property1 @t242 tptp.honest tptp.pos)) % 0.38/0.60 (define @t257 () (not @t254)) % 0.38/0.60 (define @t258 () (or @t247 @t257 @t256)) % 0.38/0.60 (define @t259 () (tptp.property1 @t242 tptp.healthy tptp.pos)) % 0.38/0.60 (define @t260 () (not @t259)) % 0.38/0.60 (define @t261 () (or @t247 @t260)) % 0.38/0.60 (define @t262 () (not @t256)) % 0.38/0.60 (define @t263 () (not @t251)) % 0.38/0.60 (define @t264 () (or @t263 @t262 @t257 @t259)) % 0.38/0.60 (define @t265 () (not @t264)) % 0.38/0.60 (define @t266 () (forall @t124 @t231)) % 0.38/0.60 (assume @p1 @t128) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule bool-impl-elim :args (@t9 @t130)) % 0.38/0.60 (step @p4 :rule cong :premises (@p3) :args ((forall @t11 (=> @t9 @t130)))) % 0.38/0.60 (step @p5 :rule bool-double-not-elim :args (@t129)) % 0.38/0.60 (step @p6 :rule aci_norm :args ((= (or @t130 false) @t130))) % 0.38/0.60 (step @p7 :rule evaluate :args ((not true))) % 0.38/0.60 (step @p8 :rule eq-refl :args (@t2)) % 0.38/0.60 (step @p9 :rule cong :premises (@p8) :args (@t131)) % 0.38/0.60 (step @p10 :rule trans :premises (@p9 @p7)) % 0.38/0.60 (step @p11 :rule refl :args (@t130)) % 0.38/0.60 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t132)) % 0.38/0.60 (step @p13 :rule trans :premises (@p12 @p6)) % 0.38/0.60 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t6 (or (not (= @t1 @t2)) @t134 @t133)) @t132))) % 0.38/0.60 (step @p15 :rule refl :args (@t133)) % 0.38/0.60 (step @p16 :rule refl :args (@t134)) % 0.38/0.60 (step @p17 :rule eq-symm :args (@t2 @t1)) % 0.38/0.60 (step @p18 :rule cong :premises (@p17) :args (@t133)) % 0.38/0.60 (step @p19 :rule nary_cong :premises (@p18 @p16 @p15) :args (@t135)) % 0.38/0.60 (step @p20 :rule aci_norm :args ((= @t136 @t135))) % 0.38/0.60 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.60 (step @p22 :rule cong :premises (@p21) :args ((forall @t6 @t136))) % 0.38/0.60 (step @p23 :rule trans :premises (@p22 @p14)) % 0.38/0.60 (step @p24 :rule trans :premises (@p23 @p13)) % 0.38/0.60 (step @p25 :rule 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@p258)) % 0.38/0.60 (step @p265 :rule quant-var-elim-eq :args ((= (forall @t92 (or (not (= @t87 @t88)) @t212 @t211)) @t210))) % 0.38/0.60 (step @p266 :rule refl :args (@t211)) % 0.38/0.60 (step @p267 :rule refl :args (@t212)) % 0.38/0.60 (step @p268 :rule eq-symm :args (@t88 @t87)) % 0.38/0.60 (step @p269 :rule cong :premises (@p268) :args (@t211)) % 0.38/0.60 (step @p270 :rule nary_cong :premises (@p269 @p267 @p266) :args (@t213)) % 0.38/0.60 (step @p271 :rule aci_norm :args ((= @t214 @t213))) % 0.38/0.60 (step @p272 :rule trans :premises (@p271 @p270)) % 0.38/0.60 (step @p273 :rule cong :premises (@p272) :args ((forall @t92 @t214))) % 0.38/0.60 (step @p274 :rule trans :premises (@p273 @p265)) % 0.38/0.60 (step @p275 :rule trans :premises (@p274 @p264)) % 0.38/0.60 (step @p276 :rule bool-and-de-morgan :args (@t90 @t89 true)) % 0.38/0.60 (step @p277 :rule cong :premises (@p276) :args (@t215)) % 0.38/0.60 (step @p278 :rule trans :premises (@p277 @p275)) % 0.38/0.60 (step @p279 :rule cong :premises (@p278) :args (@t216)) % 0.38/0.60 (step @p280 :rule trans :premises (@p279 @p257)) % 0.38/0.60 (step @p281 :rule exists-elim :args ((= @t93 @t216))) % 0.38/0.60 (step @p282 :rule trans :premises (@p281 @p280)) % 0.38/0.60 (step @p283 :rule refl :args (@t96)) % 0.38/0.60 (step @p284 :rule cong :premises (@p283 @p282) :args (@t97)) % 0.38/0.60 (step @p285 :rule cong :premises (@p284) :args (@t99)) % 0.38/0.60 (step @p286 :rule trans :premises (@p285 @p256)) % 0.38/0.60 (step @p287 :rule bool-impl-elim :args (@t108 @t218)) % 0.38/0.60 (step @p288 :rule cong :premises (@p287) :args ((forall @t110 (=> @t108 @t218)))) % 0.38/0.60 (step @p289 :rule bool-double-not-elim :args (@t217)) % 0.38/0.60 (step @p290 :rule aci_norm :args ((= (or @t218 false) @t218))) % 0.38/0.60 (step @p291 :rule eq-refl :args (@t101)) % 0.38/0.60 (step @p292 :rule cong :premises (@p291) :args (@t219)) % 0.38/0.60 (step @p293 :rule trans :premises (@p292 @p7)) % 0.38/0.60 (step @p294 :rule refl :args (@t218)) % 0.38/0.60 (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t220)) % 0.38/0.60 (step @p296 :rule trans :premises (@p295 @p290)) % 0.38/0.60 (step @p297 :rule quant-var-elim-eq :args ((= (forall @t105 (or (not (= @t100 @t101)) @t222 @t221)) @t220))) % 0.38/0.60 (step @p298 :rule refl :args (@t221)) % 0.38/0.60 (step @p299 :rule refl :args (@t222)) % 0.38/0.60 (step @p300 :rule eq-symm :args (@t101 @t100)) % 0.38/0.60 (step @p301 :rule cong :premises (@p300) :args (@t221)) % 0.38/0.60 (step @p302 :rule nary_cong :premises (@p301 @p299 @p298) :args (@t223)) % 0.38/0.60 (step @p303 :rule aci_norm :args ((= @t224 @t223))) % 0.38/0.60 (step @p304 :rule trans :premises (@p303 @p302)) % 0.38/0.60 (step @p305 :rule cong :premises (@p304) :args ((forall @t105 @t224))) % 0.38/0.60 (step @p306 :rule trans :premises (@p305 @p297)) % 0.38/0.60 (step @p307 :rule trans :premises (@p306 @p296)) % 0.38/0.60 (step @p308 :rule bool-and-de-morgan :args (@t103 @t102 true)) % 0.38/0.60 (step @p309 :rule cong :premises (@p308) :args (@t225)) % 0.38/0.60 (step @p310 :rule trans :premises (@p309 @p307)) % 0.38/0.60 (step @p311 :rule cong :premises (@p310) :args (@t226)) % 0.38/0.60 (step @p312 :rule trans :premises (@p311 @p289)) % 0.38/0.60 (step @p313 :rule exists-elim :args ((= @t106 @t226))) % 0.38/0.60 (step @p314 :rule trans :premises (@p313 @p312)) % 0.38/0.60 (step @p315 :rule cong :premises (@p314) :args (@t107)) % 0.38/0.60 (step @p316 :rule refl :args (@t108)) % 0.38/0.60 (step @p317 :rule cong :premises (@p316 @p315) :args (@t109)) % 0.38/0.60 (step @p318 :rule cong :premises (@p317) :args (@t111)) % 0.38/0.60 (step @p319 :rule trans :premises (@p318 @p288)) % 0.38/0.60 (step @p320 :rule aci_norm :args ((= (or @t232 @t227) @t231))) % 0.38/0.60 (step @p321 :rule refl :args (@t227)) % 0.38/0.60 (step @p322 :rule aci_norm :args ((= (or @t230 (or @t229 @t228)) @t232))) % 0.38/0.60 (step @p323 :rule bool-and-de-morgan :args (@t120 @t119 true)) % 0.38/0.60 (step @p324 :rule refl :args (@t230)) % 0.38/0.60 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t230 (not (and @t120 @t119))))) % 0.38/0.60 (step @p326 :rule bool-and-de-morgan :args (@t121 @t120 (and @t119))) % 0.38/0.60 (step @p327 :rule trans :premises (@p326 @p325)) % 0.38/0.60 (step @p328 :rule trans :premises (@p327 @p322)) % 0.38/0.60 (step @p329 :rule nary_cong :premises (@p328 @p321) :args ((or (not @t122) @t227))) % 0.38/0.60 (step @p330 :rule trans :premises (@p329 @p320)) % 0.38/0.60 (step @p331 :rule bool-impl-elim :args (@t122 @t227)) % 0.38/0.60 (step @p332 :rule trans :premises (@p331 @p330)) % 0.38/0.60 (step @p333 :rule cong :premises (@p332) :args ((forall @t124 (=> @t122 @t227)))) % 0.38/0.60 (step @p334 :rule bool-double-not-elim :args (@t227)) % 0.38/0.60 (step @p335 :rule aci_norm :args ((= (or @t233 false) @t233))) % 0.38/0.60 (step @p336 :rule eq-refl :args (@t113)) % 0.38/0.60 (step @p337 :rule cong :premises (@p336) :args (@t234)) % 0.38/0.60 (step @p338 :rule trans :premises (@p337 @p7)) % 0.38/0.60 (step @p339 :rule refl :args (@t233)) % 0.38/0.60 (step @p340 :rule nary_cong :premises (@p339 @p338) :args (@t235)) % 0.38/0.60 (step @p341 :rule trans :premises (@p340 @p335)) % 0.38/0.60 (step @p342 :rule quant-var-elim-eq :args ((= (forall @t117 (or (not (= @t112 @t113)) @t237 @t236)) @t235))) % 0.38/0.60 (step @p343 :rule refl :args (@t236)) % 0.38/0.60 (step @p344 :rule refl :args (@t237)) % 0.38/0.60 (step @p345 :rule eq-symm :args (@t113 @t112)) % 0.38/0.60 (step @p346 :rule cong :premises (@p345) :args (@t236)) % 0.38/0.60 (step @p347 :rule nary_cong :premises (@p346 @p344 @p343) :args (@t238)) % 0.38/0.60 (step @p348 :rule aci_norm :args ((= @t239 @t238))) % 0.38/0.60 (step @p349 :rule trans :premises (@p348 @p347)) % 0.38/0.60 (step @p350 :rule cong :premises (@p349) :args ((forall @t117 @t239))) % 0.38/0.60 (step @p351 :rule trans :premises (@p350 @p342)) % 0.38/0.60 (step @p352 :rule trans :premises (@p351 @p341)) % 0.38/0.60 (step @p353 :rule bool-and-de-morgan :args (@t115 @t114 true)) % 0.38/0.60 (step @p354 :rule cong :premises (@p353) :args (@t240)) % 0.38/0.60 (step @p355 :rule trans :premises (@p354 @p352)) % 0.38/0.60 (step @p356 :rule cong :premises (@p355) :args (@t241)) % 0.38/0.60 (step @p357 :rule trans :premises (@p356 @p334)) % 0.38/0.60 (step @p358 :rule exists-elim :args ((= @t118 @t241))) % 0.38/0.60 (step @p359 :rule trans :premises (@p358 @p357)) % 0.38/0.60 (step @p360 :rule refl :args (@t122)) % 0.38/0.60 (step @p361 :rule cong :premises (@p360 @p359) :args (@t123)) % 0.38/0.60 (step @p362 :rule cong :premises (@p361) :args (@t125)) % 0.38/0.60 (step @p363 :rule trans :premises (@p362 @p333)) % 0.38/0.60 (step @p364 :rule nary_cong :premises (@p363 @p319 @p286 @p248 @p216 @p178 @p139 @p100 @p68) :args (@t126)) % 0.38/0.60 (step @p365 :rule cong :premises (@p364 @p36) :args (@t127)) % 0.38/0.60 (step @p366 :rule cong :premises (@p365) :args (@t128)) % 0.38/0.60 (step @p367 :rule eq_resolve :premises (@p1 @p366)) % 0.38/0.60 (step @p368 :rule not_implies_elim1 :premises (@p367)) % 0.38/0.60 (step @p369 :rule and_elim :premises (@p368) :args (0)) % 0.38/0.60 (step @p370 :rule and_elim :premises (@p368) :args (7)) % 0.38/0.60 (step @p371 :rule instantiate :premises (@p370) :args (@t243)) % 0.38/0.60 (step @p372 :rule not_implies_elim2 :premises (@p367)) % 0.38/0.60 (step @p373 :rule skolemize :premises (@p372)) % 0.38/0.60 (step @p374 :rule bool-double-not-elim :args (@t244)) % 0.38/0.60 (step @p375 :rule refl :args (@t248)) % 0.38/0.60 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t248 (not @t247)))) % 0.38/0.60 (step @p377 :rule cnf_or_neg :args (@t248 0)) % 0.38/0.60 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 0.38/0.60 (step @p379 :rule reordering :premises (@p378) :args ((or @t244 @t248))) % 0.38/0.60 (step @p380 :rule chain_m_resolution :premises (@p379 @p373) :args (@t244 @t249 @t250)) % 0.38/0.60 (step @p381 :rule cnf_or_pos :args (@t252)) % 0.38/0.60 (step @p382 :rule reordering :premises (@p381) :args ((or @t247 @t251 (not @t252)))) % 0.38/0.60 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p371) :args (@t251 @t253 (@list @t244 @t252))) % 0.38/0.60 (step @p384 :rule and_elim :premises (@p368) :args (2)) % 0.38/0.60 (step @p385 :rule instantiate :premises (@p384) :args (@t243)) % 0.38/0.60 (step @p386 :rule and_elim :premises (@p368) :args (3)) % 0.38/0.60 (step @p387 :rule instantiate :premises (@p386) :args (@t243)) % 0.38/0.60 (step @p388 :rule bool-double-not-elim :args (@t245)) % 0.38/0.60 (step @p389 :rule nary_cong :premises (@p375 @p388) :args ((or @t248 (not @t246)))) % 0.38/0.60 (step @p390 :rule cnf_or_neg :args (@t248 1)) % 0.38/0.60 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 0.38/0.60 (step @p392 :rule reordering :premises (@p391) :args ((or @t245 @t248))) % 0.38/0.60 (step @p393 :rule chain_m_resolution :premises (@p392 @p373) :args (@t245 @t249 @t250)) % 0.38/0.60 (step @p394 :rule cnf_or_pos :args (@t255)) % 0.38/0.60 (step @p395 :rule reordering :premises (@p394) :args ((or @t246 @t254 (not @t255)))) % 0.38/0.60 (step @p396 :rule chain_m_resolution :premises (@p395 @p393 @p387) :args (@t254 @t253 (@list @t245 @t255))) % 0.38/0.60 (step @p397 :rule cnf_or_pos :args (@t258)) % 0.38/0.60 (step @p398 :rule reordering :premises (@p397) :args ((or @t247 @t257 @t256 (not @t258)))) % 0.38/0.60 (step @p399 :rule chain_m_resolution :premises (@p398 @p380 @p396 @p385) :args (@t256 (@list false false false) (@list @t244 @t254 @t258))) % 0.38/0.60 (step @p400 :rule and_elim :premises (@p368) :args (1)) % 0.38/0.60 (step @p401 :rule instantiate :premises (@p400) :args (@t243)) % 0.38/0.60 (step @p402 :rule cnf_or_pos :args (@t261)) % 0.38/0.60 (step @p403 :rule reordering :premises (@p402) :args ((or @t247 @t260 (not @t261)))) % 0.38/0.60 (step @p404 :rule chain_m_resolution :premises (@p403 @p380 @p401) :args (@t260 @t253 (@list @t244 @t261))) % 0.38/0.60 (step @p405 :rule cnf_or_pos :args (@t264)) % 0.38/0.60 (step @p406 :rule reordering :premises (@p405) :args ((or @t259 @t257 @t262 @t263 @t265))) % 0.38/0.60 (step @p407 :rule chain_m_resolution :premises (@p406 @p404 @p396 @p399 @p383) :args (@t265 (@list true false false false) (@list @t259 @t254 @t256 @t251))) % 0.38/0.60 (assume-push @p414 @t266) % 0.38/0.60 (step @p409 :rule instantiate :premises (@p369) :args (@t243)) % 0.38/0.60 (step-pop @p415 :rule scope :premises (@p409)) % 0.38/0.60 (step @p410 :rule process_scope :premises (@p415) :args (@t264)) % 0.38/0.60 (step @p412 :rule implies_elim :premises (@p410)) % 0.38/0.60 (step @p413 false :rule chain_m_resolution :premises (@p412 @p407 @p369) :args (false (@list true false) (@list @t264 @t266))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------