%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL644+1.005 : TPTP v9.3.1. 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 : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:15 AM UTC 2026 % Result : Theorem 0.30s 0.62s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n011.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 07:08:28 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.62 % SZS status Theorem % 0.30/0.62 % SZS output start Proof % 0.30/0.62 ( % 0.30/0.62 (declare-sort $$unsorted 0) % 0.30/0.62 (declare-const tptp.p6 (-> $$unsorted Bool)) % 0.30/0.62 (declare-const tptp.p4 (-> $$unsorted Bool)) % 0.30/0.62 (declare-const tptp.p3 (-> $$unsorted Bool)) % 0.30/0.62 (declare-const tptp.p5 (-> $$unsorted Bool)) % 0.30/0.62 (declare-const tptp.p2 (-> $$unsorted Bool)) % 0.30/0.62 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.30/0.62 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.30/0.62 (define @t1 () (@var "Y" $$unsorted)) % 0.30/0.62 (define @t2 () (tptp.p1 @t1)) % 0.30/0.62 (define @t3 () (@var "X" $$unsorted)) % 0.30/0.62 (define @t4 () (tptp.p1 @t3)) % 0.30/0.62 (define @t5 () (not (tptp.r1 @t1 @t3))) % 0.30/0.62 (define @t6 () (@list @t3)) % 0.30/0.62 (define @t7 () (forall @t6 (or @t5 @t4))) % 0.30/0.62 (define @t8 () (not (and @t2 @t7 @t2))) % 0.30/0.62 (define @t9 () (tptp.p2 @t1)) % 0.30/0.62 (define @t10 () (tptp.p2 @t3)) % 0.30/0.62 (define @t11 () (forall @t6 (or @t5 @t10))) % 0.30/0.62 (define @t12 () (not (and @t9 @t11))) % 0.30/0.62 (define @t13 () (not (tptp.r1 @t3 @t1))) % 0.30/0.62 (define @t14 () (or @t13 @t12 @t2 @t9 @t8)) % 0.30/0.62 (define @t15 () (@list @t1)) % 0.30/0.62 (define @t16 () (forall @t15 @t14)) % 0.30/0.62 (define @t17 () (forall @t15 (or @t13 @t2))) % 0.30/0.62 (define @t18 () (or @t5 @t10 (not (and @t4 @t17 @t4)))) % 0.30/0.62 (define @t19 () (forall @t6 @t18)) % 0.30/0.62 (define @t20 () (or @t13 @t12 @t2 @t19)) % 0.30/0.62 (define @t21 () (forall @t15 @t20)) % 0.30/0.62 (define @t22 () (@var "Y" $$unsorted)) % 0.30/0.62 (define @t23 () (tptp.p2 @t22)) % 0.30/0.62 (define @t24 () (@list @t22)) % 0.30/0.62 (define @t25 () (forall @t24 (or (not (tptp.r1 @t3 @t22)) @t23))) % 0.30/0.62 (define @t26 () (or @t5 (not (and @t10 @t25)) @t4)) % 0.30/0.62 (define @t27 () (forall @t6 @t26)) % 0.30/0.62 (define @t28 () (or @t13 @t27 @t9 @t8)) % 0.30/0.62 (define @t29 () (forall @t15 @t28)) % 0.30/0.62 (define @t30 () (and @t29 @t21 @t16)) % 0.30/0.62 (define @t31 () (not @t30)) % 0.30/0.62 (define @t32 () (or @t13 @t9 @t8)) % 0.30/0.62 (define @t33 () (forall @t15 @t32)) % 0.30/0.62 (define @t34 () (or @t13 @t12 @t2)) % 0.30/0.62 (define @t35 () (forall @t15 @t34)) % 0.30/0.62 (define @t36 () (or @t35 @t33 @t31)) % 0.30/0.62 (define @t37 () (not @t36)) % 0.30/0.62 (define @t38 () (tptp.p5 @t1)) % 0.30/0.62 (define @t39 () (tptp.p5 @t3)) % 0.30/0.62 (define @t40 () (forall @t6 (or @t5 @t39))) % 0.30/0.62 (define @t41 () (not (and @t40 @t38))) % 0.30/0.62 (define @t42 () (or @t13 @t38 @t41)) % 0.30/0.62 (define @t43 () (forall @t15 @t42)) % 0.30/0.62 (define @t44 () (not (and @t9 @t11 @t9))) % 0.30/0.62 (define @t45 () (tptp.p3 @t1)) % 0.30/0.62 (define @t46 () (tptp.p3 @t3)) % 0.30/0.62 (define @t47 () (forall @t6 (or @t5 @t46))) % 0.30/0.62 (define @t48 () (not (and @t45 @t47))) % 0.30/0.62 (define @t49 () (or @t13 @t48 @t9 @t45 @t44)) % 0.30/0.62 (define @t50 () (forall @t15 @t49)) % 0.30/0.62 (define @t51 () (forall @t15 (or @t13 @t9))) % 0.30/0.62 (define @t52 () (or @t5 @t46 (not (and @t10 @t51 @t10)))) % 0.30/0.62 (define @t53 () (forall @t6 @t52)) % 0.30/0.62 (define @t54 () (or @t13 @t48 @t9 @t53)) % 0.30/0.62 (define @t55 () (forall @t15 @t54)) % 0.30/0.62 (define @t56 () (@var "Y" $$unsorted)) % 0.30/0.62 (define @t57 () (tptp.p3 @t56)) % 0.30/0.62 (define @t58 () (@list @t56)) % 0.30/0.62 (define @t59 () (forall @t58 (or (not (tptp.r1 @t3 @t56)) @t57))) % 0.30/0.62 (define @t60 () (or @t5 (not (and @t46 @t59)) @t10)) % 0.30/0.62 (define @t61 () (forall @t6 @t60)) % 0.30/0.62 (define @t62 () (or @t13 @t61 @t45 @t44)) % 0.30/0.62 (define @t63 () (forall @t15 @t62)) % 0.30/0.62 (define @t64 () (and @t63 @t55 @t50)) % 0.30/0.62 (define @t65 () (not @t64)) % 0.30/0.62 (define @t66 () (or @t13 @t45 @t44)) % 0.30/0.62 (define @t67 () (forall @t15 @t66)) % 0.30/0.62 (define @t68 () (or @t13 @t48 @t9)) % 0.30/0.62 (define @t69 () (forall @t15 @t68)) % 0.30/0.62 (define @t70 () (or @t69 @t67 @t65)) % 0.30/0.62 (define @t71 () (not @t70)) % 0.30/0.62 (define @t72 () (not (and @t45 @t47 @t45))) % 0.30/0.62 (define @t73 () (tptp.p4 @t1)) % 0.30/0.62 (define @t74 () (tptp.p4 @t3)) % 0.30/0.62 (define @t75 () (forall @t6 (or @t5 @t74))) % 0.30/0.62 (define @t76 () (not (and @t73 @t75))) % 0.30/0.62 (define @t77 () (or @t13 @t76 @t45 @t73 @t72)) % 0.30/0.62 (define @t78 () (forall @t15 @t77)) % 0.30/0.62 (define @t79 () (forall @t15 (or @t13 @t45))) % 0.30/0.62 (define @t80 () (or @t5 @t74 (not (and @t46 @t79 @t46)))) % 0.30/0.62 (define @t81 () (forall @t6 @t80)) % 0.30/0.62 (define @t82 () (or @t13 @t76 @t45 @t81)) % 0.30/0.62 (define @t83 () (forall @t15 @t82)) % 0.30/0.62 (define @t84 () (@var "Y" $$unsorted)) % 0.30/0.62 (define @t85 () (tptp.p4 @t84)) % 0.30/0.62 (define @t86 () (@list @t84)) % 0.30/0.62 (define @t87 () (forall @t86 (or (not (tptp.r1 @t3 @t84)) @t85))) % 0.30/0.62 (define @t88 () (or @t5 (not (and @t74 @t87)) @t46)) % 0.30/0.62 (define @t89 () (forall @t6 @t88)) % 0.30/0.62 (define @t90 () (or @t13 @t89 @t73 @t72)) % 0.30/0.62 (define @t91 () (forall @t15 @t90)) % 0.30/0.62 (define @t92 () (and @t91 @t83 @t78)) % 0.30/0.62 (define @t93 () (not @t92)) % 0.30/0.62 (define @t94 () (or @t13 @t73 @t72)) % 0.30/0.62 (define @t95 () (forall @t15 @t94)) % 0.30/0.62 (define @t96 () (or @t13 @t76 @t45)) % 0.30/0.62 (define @t97 () (forall @t15 @t96)) % 0.30/0.62 (define @t98 () (or @t97 @t95 @t93)) % 0.30/0.62 (define @t99 () (not @t98)) % 0.30/0.62 (define @t100 () (not (and @t73 @t75 @t73))) % 0.30/0.62 (define @t101 () (not (and @t38 @t40))) % 0.30/0.62 (define @t102 () (or @t13 @t101 @t73 @t38 @t100)) % 0.30/0.62 (define @t103 () (forall @t15 @t102)) % 0.30/0.62 (define @t104 () (forall @t15 (or @t13 @t73))) % 0.30/0.62 (define @t105 () (or @t5 @t39 (not (and @t74 @t104 @t74)))) % 0.30/0.62 (define @t106 () (forall @t6 @t105)) % 0.30/0.62 (define @t107 () (or @t13 @t101 @t73 @t106)) % 0.30/0.62 (define @t108 () (forall @t15 @t107)) % 0.30/0.62 (define @t109 () (@var "Y" $$unsorted)) % 0.30/0.62 (define @t110 () (tptp.p5 @t109)) % 0.30/0.62 (define @t111 () (@list @t109)) % 0.30/0.62 (define @t112 () (forall @t111 (or (not (tptp.r1 @t3 @t109)) @t110))) % 0.30/0.62 (define @t113 () (or @t5 (not (and @t39 @t112)) @t74)) % 0.30/0.62 (define @t114 () (forall @t6 @t113)) % 0.30/0.62 (define @t115 () (or @t13 @t114 @t38 @t100)) % 0.30/0.62 (define @t116 () (forall @t15 @t115)) % 0.30/0.62 (define @t117 () (and @t116 @t108 @t103)) % 0.30/0.62 (define @t118 () (not @t117)) % 0.30/0.62 (define @t119 () (or @t13 @t38 @t100)) % 0.30/0.62 (define @t120 () (forall @t15 @t119)) % 0.30/0.62 (define @t121 () (or @t13 @t101 @t73)) % 0.30/0.62 (define @t122 () (forall @t15 @t121)) % 0.30/0.62 (define @t123 () (or @t122 @t120 @t118)) % 0.30/0.62 (define @t124 () (not @t123)) % 0.30/0.62 (define @t125 () (not (and @t38 @t40 @t38))) % 0.30/0.62 (define @t126 () (tptp.p6 @t1)) % 0.30/0.62 (define @t127 () (tptp.p6 @t3)) % 0.30/0.62 (define @t128 () (forall @t6 (or @t5 @t127))) % 0.30/0.62 (define @t129 () (not (and @t126 @t128))) % 0.30/0.62 (define @t130 () (or @t13 @t129 @t38 @t126 @t125)) % 0.30/0.62 (define @t131 () (forall @t15 @t130)) % 0.30/0.62 (define @t132 () (forall @t15 (or @t13 @t38))) % 0.30/0.62 (define @t133 () (or @t5 @t127 (not (and @t39 @t132 @t39)))) % 0.30/0.62 (define @t134 () (forall @t6 @t133)) % 0.30/0.62 (define @t135 () (or @t13 @t129 @t38 @t134)) % 0.30/0.62 (define @t136 () (forall @t15 @t135)) % 0.30/0.62 (define @t137 () (@var "Y" $$unsorted)) % 0.30/0.62 (define @t138 () (tptp.p6 @t137)) % 0.30/0.62 (define @t139 () (@list @t137)) % 0.30/0.62 (define @t140 () (forall @t139 (or (not (tptp.r1 @t3 @t137)) @t138))) % 0.30/0.62 (define @t141 () (or @t5 (not (and @t127 @t140)) @t39)) % 0.30/0.62 (define @t142 () (forall @t6 @t141)) % 0.30/0.62 (define @t143 () (or @t13 @t142 @t126 @t125)) % 0.30/0.62 (define @t144 () (forall @t15 @t143)) % 0.30/0.62 (define @t145 () (and @t144 @t136 @t131)) % 0.30/0.62 (define @t146 () (not @t145)) % 0.30/0.62 (define @t147 () (or @t13 @t126 @t125)) % 0.30/0.62 (define @t148 () (forall @t15 @t147)) % 0.30/0.62 (define @t149 () (or @t13 @t129 @t38)) % 0.30/0.62 (define @t150 () (forall @t15 @t149)) % 0.30/0.62 (define @t151 () (or @t150 @t148 @t146)) % 0.30/0.62 (define @t152 () (not @t151)) % 0.30/0.62 (define @t153 () (or @t152 @t124 @t99 @t71 @t43 @t43 @t37)) % 0.30/0.62 (define @t154 () (not @t153)) % 0.30/0.62 (define @t155 () (exists @t6 @t154)) % 0.30/0.62 (define @t156 () (not false)) % 0.30/0.62 (define @t157 () (forall @t6 @t156)) % 0.30/0.62 (define @t158 () (not @t157)) % 0.30/0.62 (define @t159 () (@var "BOUND_VARIABLE_8032" $$unsorted)) % 0.30/0.62 (define @t160 () (tptp.p1 @t159)) % 0.30/0.62 (define @t161 () (@var "BOUND_VARIABLE_8047" $$unsorted)) % 0.30/0.62 (define @t162 () (@list @t159)) % 0.30/0.62 (define @t163 () (not (forall @t162 (or (not (tptp.r1 @t161 @t159)) @t160)))) % 0.30/0.62 (define @t164 () (not (tptp.p1 @t161))) % 0.30/0.62 (define @t165 () (tptp.p2 @t161)) % 0.30/0.62 (define @t166 () (not (tptp.r1 @t1 @t161))) % 0.30/0.62 (define @t167 () (not @t11)) % 0.30/0.62 (define @t168 () (not @t9)) % 0.30/0.62 (define @t169 () (or @t13 @t168 @t167 @t2 @t166 @t165 @t164 @t163)) % 0.30/0.62 (define @t170 () (@list @t1 @t161)) % 0.30/0.62 (define @t171 () (forall @t170 @t169)) % 0.30/0.62 (define @t172 () (@var "BOUND_VARIABLE_8007" $$unsorted)) % 0.30/0.62 (define @t173 () (tptp.p1 @t172)) % 0.30/0.62 (define @t174 () (not (forall @t24 (or (not (tptp.r1 @t172 @t22)) @t23)))) % 0.30/0.62 (define @t175 () (not (tptp.p2 @t172))) % 0.30/0.62 (define @t176 () (not (tptp.r1 @t1 @t172))) % 0.30/0.62 (define @t177 () (not @t7)) % 0.30/0.62 (define @t178 () (not @t2)) % 0.30/0.62 (define @t179 () (or @t13 @t9 @t178 @t177 @t176 @t175 @t174 @t173)) % 0.30/0.62 (define @t180 () (@list @t1 @t172)) % 0.30/0.62 (define @t181 () (forall @t180 @t179)) % 0.30/0.62 (define @t182 () (and @t181 @t171)) % 0.30/0.62 (define @t183 () (or @t13 @t9 @t178 @t177)) % 0.30/0.62 (define @t184 () (or @t13 @t168 @t167 @t2)) % 0.30/0.62 (define @t185 () (@var "BOUND_VARIABLE_7953" $$unsorted)) % 0.30/0.62 (define @t186 () (tptp.p2 @t185)) % 0.30/0.62 (define @t187 () (@var "BOUND_VARIABLE_7968" $$unsorted)) % 0.30/0.62 (define @t188 () (@list @t185)) % 0.30/0.62 (define @t189 () (not (forall @t188 (or (not (tptp.r1 @t187 @t185)) @t186)))) % 0.30/0.62 (define @t190 () (not (tptp.p2 @t187))) % 0.30/0.62 (define @t191 () (tptp.p3 @t187)) % 0.30/0.62 (define @t192 () (not (tptp.r1 @t1 @t187))) % 0.30/0.62 (define @t193 () (not @t47)) % 0.30/0.62 (define @t194 () (not @t45)) % 0.30/0.62 (define @t195 () (or @t13 @t194 @t193 @t9 @t192 @t191 @t190 @t189)) % 0.30/0.62 (define @t196 () (@list @t1 @t187)) % 0.30/0.62 (define @t197 () (forall @t196 @t195)) % 0.30/0.62 (define @t198 () (@var "BOUND_VARIABLE_7928" $$unsorted)) % 0.30/0.62 (define @t199 () (tptp.p2 @t198)) % 0.30/0.62 (define @t200 () (not (forall @t58 (or (not (tptp.r1 @t198 @t56)) @t57)))) % 0.30/0.62 (define @t201 () (not (tptp.p3 @t198))) % 0.30/0.62 (define @t202 () (not (tptp.r1 @t1 @t198))) % 0.30/0.62 (define @t203 () (or @t13 @t45 @t168 @t167 @t202 @t201 @t200 @t199)) % 0.30/0.62 (define @t204 () (@list @t1 @t198)) % 0.30/0.62 (define @t205 () (forall @t204 @t203)) % 0.30/0.62 (define @t206 () (and @t205 @t197)) % 0.30/0.62 (define @t207 () (or @t13 @t45 @t168 @t167)) % 0.30/0.62 (define @t208 () (or @t13 @t194 @t193 @t9)) % 0.30/0.62 (define @t209 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 0.30/0.62 (define @t210 () (tptp.p3 @t209)) % 0.30/0.62 (define @t211 () (@var "BOUND_VARIABLE_7890" $$unsorted)) % 0.30/0.62 (define @t212 () (@list @t209)) % 0.30/0.62 (define @t213 () (not (forall @t212 (or (not (tptp.r1 @t211 @t209)) @t210)))) % 0.30/0.62 (define @t214 () (not (tptp.p3 @t211))) % 0.30/0.62 (define @t215 () (tptp.p4 @t211)) % 0.30/0.62 (define @t216 () (not (tptp.r1 @t1 @t211))) % 0.30/0.62 (define @t217 () (not @t75)) % 0.30/0.62 (define @t218 () (not @t73)) % 0.30/0.62 (define @t219 () (or @t13 @t218 @t217 @t45 @t216 @t215 @t214 @t213)) % 0.30/0.62 (define @t220 () (@list @t1 @t211)) % 0.30/0.62 (define @t221 () (forall @t220 @t219)) % 0.30/0.62 (define @t222 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 0.30/0.62 (define @t223 () (tptp.p3 @t222)) % 0.30/0.62 (define @t224 () (not (forall @t86 (or (not (tptp.r1 @t222 @t84)) @t85)))) % 0.30/0.62 (define @t225 () (not (tptp.p4 @t222))) % 0.30/0.62 (define @t226 () (not (tptp.r1 @t1 @t222))) % 0.30/0.62 (define @t227 () (or @t13 @t73 @t194 @t193 @t226 @t225 @t224 @t223)) % 0.30/0.62 (define @t228 () (@list @t1 @t222)) % 0.30/0.62 (define @t229 () (forall @t228 @t227)) % 0.30/0.62 (define @t230 () (and @t229 @t221)) % 0.30/0.62 (define @t231 () (or @t13 @t73 @t194 @t193)) % 0.30/0.62 (define @t232 () (or @t13 @t218 @t217 @t45)) % 0.30/0.62 (define @t233 () (@var "BOUND_VARIABLE_7797" $$unsorted)) % 0.30/0.62 (define @t234 () (tptp.p4 @t233)) % 0.30/0.62 (define @t235 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 0.30/0.62 (define @t236 () (@list @t233)) % 0.30/0.62 (define @t237 () (not (forall @t236 (or (not (tptp.r1 @t235 @t233)) @t234)))) % 0.30/0.62 (define @t238 () (not (tptp.p4 @t235))) % 0.30/0.62 (define @t239 () (tptp.p5 @t235)) % 0.30/0.62 (define @t240 () (not (tptp.r1 @t1 @t235))) % 0.30/0.62 (define @t241 () (not @t40)) % 0.30/0.62 (define @t242 () (not @t38)) % 0.30/0.62 (define @t243 () (or @t13 @t242 @t241 @t73 @t240 @t239 @t238 @t237)) % 0.30/0.62 (define @t244 () (@list @t1 @t235)) % 0.30/0.62 (define @t245 () (forall @t244 @t243)) % 0.30/0.62 (define @t246 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 0.30/0.62 (define @t247 () (tptp.p4 @t246)) % 0.30/0.62 (define @t248 () (not (forall @t111 (or (not (tptp.r1 @t246 @t109)) @t110)))) % 0.30/0.62 (define @t249 () (not (tptp.p5 @t246))) % 0.30/0.62 (define @t250 () (not (tptp.r1 @t1 @t246))) % 0.30/0.62 (define @t251 () (or @t13 @t38 @t218 @t217 @t250 @t249 @t248 @t247)) % 0.30/0.62 (define @t252 () (@list @t1 @t246)) % 0.30/0.62 (define @t253 () (forall @t252 @t251)) % 0.30/0.62 (define @t254 () (and @t253 @t245)) % 0.30/0.62 (define @t255 () (or @t13 @t38 @t218 @t217)) % 0.30/0.62 (define @t256 () (or @t13 @t242 @t241 @t73)) % 0.30/0.62 (define @t257 () (@var "BOUND_VARIABLE_7718" $$unsorted)) % 0.30/0.62 (define @t258 () (tptp.p5 @t257)) % 0.30/0.62 (define @t259 () (@var "BOUND_VARIABLE_7733" $$unsorted)) % 0.30/0.62 (define @t260 () (@list @t257)) % 0.30/0.62 (define @t261 () (not (forall @t260 (or (not (tptp.r1 @t259 @t257)) @t258)))) % 0.30/0.62 (define @t262 () (not (tptp.p5 @t259))) % 0.30/0.62 (define @t263 () (tptp.p6 @t259)) % 0.30/0.62 (define @t264 () (not (tptp.r1 @t1 @t259))) % 0.30/0.62 (define @t265 () (not @t128)) % 0.30/0.62 (define @t266 () (not @t126)) % 0.30/0.62 (define @t267 () (or @t13 @t266 @t265 @t38 @t264 @t263 @t262 @t261)) % 0.30/0.62 (define @t268 () (@list @t1 @t259)) % 0.30/0.62 (define @t269 () (forall @t268 @t267)) % 0.30/0.62 (define @t270 () (@var "BOUND_VARIABLE_7693" $$unsorted)) % 0.30/0.62 (define @t271 () (tptp.p5 @t270)) % 0.30/0.62 (define @t272 () (not (forall @t139 (or (not (tptp.r1 @t270 @t137)) @t138)))) % 0.30/0.62 (define @t273 () (not (tptp.p6 @t270))) % 0.30/0.62 (define @t274 () (not (tptp.r1 @t1 @t270))) % 0.30/0.62 (define @t275 () (or @t13 @t126 @t242 @t241 @t274 @t273 @t272 @t271)) % 0.30/0.62 (define @t276 () (@list @t1 @t270)) % 0.30/0.62 (define @t277 () (forall @t276 @t275)) % 0.30/0.62 (define @t278 () (and @t277 @t269)) % 0.30/0.62 (define @t279 () (or @t13 @t126 @t242 @t241)) % 0.30/0.62 (define @t280 () (or @t13 @t266 @t265 @t38)) % 0.30/0.62 (define @t281 () (or @t178 @t177)) % 0.30/0.62 (define @t282 () (or @t168 @t167)) % 0.30/0.62 (define @t283 () (or @t178 @t177 @t178)) % 0.30/0.62 (define @t284 () (or @t166 @t165 @t164 @t163)) % 0.30/0.62 (define @t285 () (or @t13 @t168 @t167 @t2 @t284)) % 0.30/0.62 (define @t286 () (forall @t170 @t285)) % 0.30/0.62 (define @t287 () (@list @t161)) % 0.30/0.62 (define @t288 () (forall @t287 @t285)) % 0.30/0.62 (define @t289 () (forall @t287 @t284)) % 0.30/0.62 (define @t290 () (@list @t3)) % 0.30/0.62 (define @t291 () (or @t13 @t168 @t167 @t2 @t289)) % 0.30/0.62 (define @t292 () (not @t4)) % 0.30/0.62 (define @t293 () (forall @t6 (or @t5 @t10 @t292 (not (forall @t162 (or (not (tptp.r1 @t3 @t159)) @t160)))))) % 0.30/0.62 (define @t294 () (or @t13 @t168 @t167 @t2 @t293)) % 0.30/0.62 (define @t295 () (or @t13 @t12 @t2 @t293)) % 0.30/0.62 (define @t296 () (@list @t1)) % 0.30/0.62 (define @t297 () (not @t17)) % 0.30/0.62 (define @t298 () (or @t5 @t10 @t292 @t297)) % 0.30/0.62 (define @t299 () (forall @t6 @t298)) % 0.30/0.62 (define @t300 () (or @t13 @t12 @t2 @t299)) % 0.30/0.62 (define @t301 () (or @t292 @t297)) % 0.30/0.62 (define @t302 () (or @t292 @t297 @t292)) % 0.30/0.62 (define @t303 () (or @t176 @t175 @t174 @t173)) % 0.30/0.62 (define @t304 () (or @t13 @t303 @t9 @t178 @t177)) % 0.30/0.62 (define @t305 () (forall @t180 @t304)) % 0.30/0.62 (define @t306 () (@list @t172)) % 0.30/0.62 (define @t307 () (forall @t306 @t304)) % 0.30/0.62 (define @t308 () (forall @t306 @t303)) % 0.30/0.62 (define @t309 () (or @t13 @t308 @t9 @t178 @t177)) % 0.30/0.62 (define @t310 () (not @t25)) % 0.30/0.62 (define @t311 () (not @t10)) % 0.30/0.62 (define @t312 () (or @t5 @t311 @t310 @t4)) % 0.30/0.62 (define @t313 () (forall @t6 @t312)) % 0.30/0.62 (define @t314 () (or @t13 @t313 @t9 @t178 @t177)) % 0.30/0.62 (define @t315 () (or @t13 @t313 @t9 @t8)) % 0.30/0.62 (define @t316 () (or @t241 @t242)) % 0.30/0.62 (define @t317 () (or @t194 @t193)) % 0.30/0.62 (define @t318 () (or @t168 @t167 @t168)) % 0.30/0.62 (define @t319 () (or @t192 @t191 @t190 @t189)) % 0.30/0.62 (define @t320 () (or @t13 @t194 @t193 @t9 @t319)) % 0.30/0.62 (define @t321 () (forall @t196 @t320)) % 0.30/0.62 (define @t322 () (@list @t187)) % 0.30/0.62 (define @t323 () (forall @t322 @t320)) % 0.30/0.62 (define @t324 () (forall @t322 @t319)) % 0.30/0.62 (define @t325 () (or @t13 @t194 @t193 @t9 @t324)) % 0.30/0.62 (define @t326 () (forall @t6 (or @t5 @t46 @t311 (not (forall @t188 (or (not (tptp.r1 @t3 @t185)) @t186)))))) % 0.30/0.62 (define @t327 () (or @t13 @t194 @t193 @t9 @t326)) % 0.30/0.62 (define @t328 () (or @t13 @t48 @t9 @t326)) % 0.30/0.62 (define @t329 () (not @t51)) % 0.30/0.62 (define @t330 () (or @t5 @t46 @t311 @t329)) % 0.30/0.62 (define @t331 () (forall @t6 @t330)) % 0.30/0.62 (define @t332 () (or @t13 @t48 @t9 @t331)) % 0.30/0.62 (define @t333 () (or @t311 @t329)) % 0.30/0.62 (define @t334 () (or @t311 @t329 @t311)) % 0.30/0.62 (define @t335 () (or @t202 @t201 @t200 @t199)) % 0.30/0.62 (define @t336 () (or @t13 @t335 @t45 @t168 @t167)) % 0.30/0.62 (define @t337 () (forall @t204 @t336)) % 0.30/0.62 (define @t338 () (@list @t198)) % 0.30/0.62 (define @t339 () (forall @t338 @t336)) % 0.30/0.62 (define @t340 () (forall @t338 @t335)) % 0.30/0.62 (define @t341 () (or @t13 @t340 @t45 @t168 @t167)) % 0.30/0.62 (define @t342 () (not @t59)) % 0.30/0.62 (define @t343 () (not @t46)) % 0.30/0.62 (define @t344 () (or @t5 @t343 @t342 @t10)) % 0.30/0.62 (define @t345 () (forall @t6 @t344)) % 0.30/0.62 (define @t346 () (or @t13 @t345 @t45 @t168 @t167)) % 0.30/0.62 (define @t347 () (or @t13 @t345 @t45 @t44)) % 0.30/0.62 (define @t348 () (or @t218 @t217)) % 0.30/0.62 (define @t349 () (or @t194 @t193 @t194)) % 0.30/0.62 (define @t350 () (or @t216 @t215 @t214 @t213)) % 0.30/0.62 (define @t351 () (or @t13 @t218 @t217 @t45 @t350)) % 0.30/0.62 (define @t352 () (forall @t220 @t351)) % 0.30/0.62 (define @t353 () (@list @t211)) % 0.30/0.62 (define @t354 () (forall @t353 @t351)) % 0.30/0.62 (define @t355 () (forall @t353 @t350)) % 0.30/0.62 (define @t356 () (or @t13 @t218 @t217 @t45 @t355)) % 0.30/0.62 (define @t357 () (forall @t6 (or @t5 @t74 @t343 (not (forall @t212 (or (not (tptp.r1 @t3 @t209)) @t210)))))) % 0.30/0.62 (define @t358 () (or @t13 @t218 @t217 @t45 @t357)) % 0.30/0.62 (define @t359 () (or @t13 @t76 @t45 @t357)) % 0.30/0.62 (define @t360 () (not @t79)) % 0.30/0.62 (define @t361 () (or @t5 @t74 @t343 @t360)) % 0.30/0.62 (define @t362 () (forall @t6 @t361)) % 0.30/0.62 (define @t363 () (or @t13 @t76 @t45 @t362)) % 0.30/0.62 (define @t364 () (or @t343 @t360)) % 0.30/0.62 (define @t365 () (or @t343 @t360 @t343)) % 0.30/0.62 (define @t366 () (or @t226 @t225 @t224 @t223)) % 0.30/0.62 (define @t367 () (or @t13 @t366 @t73 @t194 @t193)) % 0.30/0.62 (define @t368 () (forall @t228 @t367)) % 0.30/0.62 (define @t369 () (@list @t222)) % 0.30/0.62 (define @t370 () (forall @t369 @t367)) % 0.30/0.62 (define @t371 () (forall @t369 @t366)) % 0.30/0.62 (define @t372 () (or @t13 @t371 @t73 @t194 @t193)) % 0.30/0.62 (define @t373 () (not @t87)) % 0.30/0.62 (define @t374 () (not @t74)) % 0.30/0.62 (define @t375 () (or @t5 @t374 @t373 @t46)) % 0.30/0.62 (define @t376 () (forall @t6 @t375)) % 0.30/0.62 (define @t377 () (or @t13 @t376 @t73 @t194 @t193)) % 0.30/0.62 (define @t378 () (or @t13 @t376 @t73 @t72)) % 0.30/0.62 (define @t379 () (or @t242 @t241)) % 0.30/0.62 (define @t380 () (or @t218 @t217 @t218)) % 0.30/0.62 (define @t381 () (or @t240 @t239 @t238 @t237)) % 0.30/0.62 (define @t382 () (or @t13 @t242 @t241 @t73 @t381)) % 0.30/0.62 (define @t383 () (forall @t244 @t382)) % 0.30/0.62 (define @t384 () (@list @t235)) % 0.30/0.62 (define @t385 () (forall @t384 @t382)) % 0.30/0.62 (define @t386 () (forall @t384 @t381)) % 0.30/0.62 (define @t387 () (or @t13 @t242 @t241 @t73 @t386)) % 0.30/0.62 (define @t388 () (forall @t6 (or @t5 @t39 @t374 (not (forall @t236 (or (not (tptp.r1 @t3 @t233)) @t234)))))) % 0.30/0.62 (define @t389 () (or @t13 @t242 @t241 @t73 @t388)) % 0.30/0.62 (define @t390 () (or @t13 @t101 @t73 @t388)) % 0.30/0.62 (define @t391 () (not @t104)) % 0.30/0.62 (define @t392 () (or @t5 @t39 @t374 @t391)) % 0.30/0.62 (define @t393 () (forall @t6 @t392)) % 0.30/0.62 (define @t394 () (or @t13 @t101 @t73 @t393)) % 0.30/0.62 (define @t395 () (or @t374 @t391)) % 0.30/0.62 (define @t396 () (or @t374 @t391 @t374)) % 0.30/0.62 (define @t397 () (or @t250 @t249 @t248 @t247)) % 0.30/0.62 (define @t398 () (or @t13 @t397 @t38 @t218 @t217)) % 0.30/0.62 (define @t399 () (forall @t252 @t398)) % 0.30/0.62 (define @t400 () (@list @t246)) % 0.30/0.62 (define @t401 () (forall @t400 @t398)) % 0.30/0.62 (define @t402 () (forall @t400 @t397)) % 0.30/0.62 (define @t403 () (or @t13 @t402 @t38 @t218 @t217)) % 0.30/0.62 (define @t404 () (not @t112)) % 0.30/0.62 (define @t405 () (not @t39)) % 0.30/0.62 (define @t406 () (or @t5 @t405 @t404 @t74)) % 0.30/0.62 (define @t407 () (forall @t6 @t406)) % 0.30/0.62 (define @t408 () (or @t13 @t407 @t38 @t218 @t217)) % 0.30/0.62 (define @t409 () (or @t13 @t407 @t38 @t100)) % 0.30/0.62 (define @t410 () (or @t266 @t265)) % 0.30/0.62 (define @t411 () (or @t242 @t241 @t242)) % 0.30/0.62 (define @t412 () (or @t264 @t263 @t262 @t261)) % 0.30/0.62 (define @t413 () (or @t13 @t266 @t265 @t38 @t412)) % 0.30/0.62 (define @t414 () (forall @t268 @t413)) % 0.30/0.62 (define @t415 () (@list @t259)) % 0.30/0.62 (define @t416 () (forall @t415 @t413)) % 0.30/0.62 (define @t417 () (forall @t415 @t412)) % 0.30/0.62 (define @t418 () (or @t13 @t266 @t265 @t38 @t417)) % 0.30/0.62 (define @t419 () (forall @t6 (or @t5 @t127 @t405 (not (forall @t260 (or (not (tptp.r1 @t3 @t257)) @t258)))))) % 0.30/0.62 (define @t420 () (or @t13 @t266 @t265 @t38 @t419)) % 0.30/0.62 (define @t421 () (or @t13 @t129 @t38 @t419)) % 0.30/0.62 (define @t422 () (not @t132)) % 0.30/0.62 (define @t423 () (or @t5 @t127 @t405 @t422)) % 0.30/0.62 (define @t424 () (forall @t6 @t423)) % 0.30/0.62 (define @t425 () (or @t13 @t129 @t38 @t424)) % 0.30/0.62 (define @t426 () (or @t405 @t422)) % 0.30/0.62 (define @t427 () (or @t405 @t422 @t405)) % 0.30/0.62 (define @t428 () (or @t274 @t273 @t272 @t271)) % 0.30/0.62 (define @t429 () (or @t13 @t428 @t126 @t242 @t241)) % 0.30/0.62 (define @t430 () (forall @t276 @t429)) % 0.30/0.62 (define @t431 () (@list @t270)) % 0.30/0.62 (define @t432 () (forall @t431 @t429)) % 0.30/0.62 (define @t433 () (forall @t431 @t428)) % 0.30/0.62 (define @t434 () (or @t13 @t433 @t126 @t242 @t241)) % 0.30/0.62 (define @t435 () (not @t140)) % 0.30/0.62 (define @t436 () (not @t127)) % 0.30/0.62 (define @t437 () (or @t5 @t436 @t435 @t39)) % 0.30/0.62 (define @t438 () (forall @t6 @t437)) % 0.30/0.62 (define @t439 () (or @t13 @t438 @t126 @t242 @t241)) % 0.30/0.62 (define @t440 () (or @t13 @t438 @t126 @t125)) % 0.30/0.62 (assume @p1 (not (not @t155))) % 0.30/0.62 (assume @p2 true) % 0.30/0.62 (step @p3 :rule evaluate :args ((not true))) % 0.30/0.62 (step @p4 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.30/0.62 (step @p5 :rule evaluate :args (@t156)) % 0.30/0.62 (step @p6 :rule cong :premises (@p5) :args (@t157)) % 0.30/0.62 (step @p7 :rule trans :premises (@p6 @p4)) % 0.30/0.62 (step @p8 :rule cong :premises (@p7) :args (@t158)) % 0.30/0.62 (step @p9 :rule trans :premises (@p8 @p3)) % 0.30/0.62 (step @p10 :rule exists-elim :args ((= (exists @t6 false) @t158))) % 0.30/0.62 (step @p11 :rule trans :premises (@p10 @p9)) % 0.30/0.62 (step @p12 :rule absorb :args ((= (or (not (or (forall @t15 @t280) (forall @t15 @t279) (not @t278))) (not (or (forall @t15 @t256) (forall @t15 @t255) (not @t254))) (not (or (forall @t15 @t232) (forall @t15 @t231) (not @t230))) (not (or (forall @t15 @t208) (forall @t15 @t207) (not @t206))) true true (not (or (forall @t15 @t184) (forall @t15 @t183) (not @t182)))) true))) % 0.30/0.62 (step @p13 :rule aci_norm :args ((= (and @t181 @t171 true) @t182))) % 0.30/0.62 (step @p14 :rule quant-unused-vars :args ((= (forall @t15 true) true))) % 0.30/0.62 (step @p15 :rule bool-or-taut2 :args ((or @t13) @t9 (or @t167 @t2) (or @t178 @t177))) % 0.30/0.62 (step @p16 :rule aci_norm :args ((= (or @t13 @t282 @t2 @t9 @t281) (or @t13 @t168 @t167 @t2 @t9 @t178 @t177)))) % 0.30/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.30/0.62 (step @p18 :rule aci_norm :args ((= @t283 @t281))) % 0.30/0.62 (step @p19 :rule aci_norm :args ((= (or @t178 (or @t177 @t178)) @t283))) % 0.30/0.62 (step @p20 :rule bool-and-de-morgan :args (@t7 @t2 true)) % 0.30/0.62 (step @p21 :rule refl :args (@t178)) % 0.30/0.62 (step @p22 :rule nary_cong :premises (@p21 @p20) 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:args ((= @t427 @t426))) % 0.30/0.62 (step @p490 :rule aci_norm :args ((= (or @t405 (or @t422 @t405)) @t427))) % 0.30/0.62 (step @p491 :rule bool-and-de-morgan :args (@t132 @t39 true)) % 0.30/0.62 (step @p492 :rule nary_cong :premises (@p480 @p491) :args ((or @t405 (not (and @t132 @t39))))) % 0.30/0.62 (step @p493 :rule bool-and-de-morgan :args (@t39 @t132 (and @t39))) % 0.30/0.62 (step @p494 :rule trans :premises (@p493 @p492)) % 0.30/0.62 (step @p495 :rule trans :premises (@p494 @p490)) % 0.30/0.62 (step @p496 :rule trans :premises (@p495 @p489)) % 0.30/0.62 (step @p497 :rule nary_cong :premises (@p58 @p481 @p496) :args (@t133)) % 0.30/0.62 (step @p498 :rule trans :premises (@p497 @p488)) % 0.30/0.62 (step @p499 :rule cong :premises (@p498) :args (@t134)) % 0.30/0.62 (step @p500 :rule refl :args (@t129)) % 0.30/0.62 (step @p501 :rule nary_cong :premises (@p79 @p500 @p420 @p499) :args (@t135)) % 0.30/0.62 (step @p502 :rule cong :premises (@p501) :args (@t136)) % 0.30/0.62 (step @p503 :rule trans :premises (@p502 @p487)) % 0.30/0.62 (step @p504 :rule aci_norm :args ((= @t429 @t275))) % 0.30/0.62 (step @p505 :rule cong :premises (@p504) :args (@t430)) % 0.30/0.62 (step @p506 :rule quant-merge-prenex :args ((= (forall @t15 @t432) @t430))) % 0.30/0.62 (step @p507 :rule alpha_equiv :args (@t433 (@list @t270) @t290)) % 0.30/0.62 (step @p508 :rule nary_cong :premises (@p30 @p507 @p453 @p362 @p361) :args (@t434)) % 0.30/0.62 (step @p509 :rule quant-miniscope-or :args ((= @t432 @t434))) % 0.30/0.62 (step @p510 :rule trans :premises (@p509 @p508)) % 0.30/0.62 (step @p511 :rule symm :premises (@p510)) % 0.30/0.62 (step @p512 :rule cong :premises (@p511) :args ((forall @t15 @t439))) % 0.30/0.62 (step @p513 :rule trans :premises (@p512 @p506)) % 0.30/0.62 (step @p514 :rule trans :premises (@p513 @p505)) % 0.30/0.62 (step @p515 :rule aci_norm :args ((= (or @t13 @t438 @t126 @t379) @t439))) % 0.30/0.62 (step @p516 :rule refl :args (@t438)) % 0.30/0.62 (step @p517 :rule nary_cong :premises (@p30 @p516 @p453 @p452) :args (@t440)) % 0.30/0.62 (step @p518 :rule trans :premises (@p517 @p515)) % 0.30/0.62 (step @p519 :rule cong :premises (@p518) :args ((forall @t15 @t440))) % 0.30/0.62 (step @p520 :rule trans :premises (@p519 @p514)) % 0.30/0.62 (step @p521 :rule refl :args (@t125)) % 0.30/0.62 (step @p522 :rule refl :args (@t126)) % 0.30/0.62 (step @p523 :rule aci_norm :args ((= (or @t5 (or @t436 @t435) @t39) @t437))) % 0.30/0.62 (step @p524 :rule bool-and-de-morgan :args (@t127 @t140 true)) % 0.30/0.62 (step @p525 :rule nary_cong :premises (@p58 @p524 @p379) :args (@t141)) % 0.30/0.62 (step @p526 :rule trans :premises (@p525 @p523)) % 0.30/0.62 (step @p527 :rule cong :premises (@p526) :args (@t142)) % 0.30/0.62 (step @p528 :rule nary_cong :premises (@p79 @p527 @p522 @p521) :args (@t143)) % 0.30/0.62 (step @p529 :rule cong :premises (@p528) :args (@t144)) % 0.30/0.62 (step @p530 :rule trans :premises (@p529 @p520)) % 0.30/0.62 (step @p531 :rule nary_cong :premises (@p530 @p503 @p458) :args (@t145)) % 0.30/0.62 (step @p532 :rule trans :premises (@p531 @p442)) % 0.30/0.62 (step @p533 :rule cong :premises (@p532) :args (@t146)) % 0.30/0.62 (step @p534 :rule aci_norm :args ((= (or @t13 @t126 @t379) @t279))) % 0.30/0.62 (step @p535 :rule nary_cong :premises (@p30 @p453 @p452) :args (@t147)) % 0.30/0.62 (step @p536 :rule trans :premises (@p535 @p534)) % 0.30/0.62 (step @p537 :rule cong :premises (@p536) :args (@t148)) % 0.30/0.62 (step @p538 :rule aci_norm :args ((= (or @t13 @t410 @t38) @t280))) % 0.30/0.62 (step @p539 :rule nary_cong :premises (@p30 @p454 @p129) :args (@t149)) % 0.30/0.62 (step @p540 :rule trans :premises (@p539 @p538)) % 0.30/0.62 (step @p541 :rule cong :premises (@p540) :args (@t150)) % 0.30/0.62 (step @p542 :rule nary_cong :premises (@p541 @p537 @p533) :args (@t151)) % 0.30/0.62 (step @p543 :rule cong :premises (@p542) :args (@t152)) % 0.30/0.62 (step @p544 :rule nary_cong :premises (@p543 @p441 @p339 @p236 @p133 @p133 @p124) :args (@t153)) % 0.30/0.62 (step @p545 :rule trans :premises (@p544 @p12)) % 0.30/0.62 (step @p546 :rule cong :premises (@p545) :args (@t154)) % 0.30/0.62 (step @p547 :rule trans :premises (@p546 @p3)) % 0.30/0.62 (step @p548 :rule cong :premises (@p547) :args (@t155)) % 0.30/0.62 (step @p549 :rule trans :premises (@p548 @p11)) % 0.30/0.62 (step @p550 :rule bool-double-not-elim :args (@t155)) % 0.30/0.62 (step @p551 :rule trans :premises (@p550 @p549)) % 0.30/0.62 (step @p552 false :rule eq_resolve :premises (@p1 @p551)) % 0.30/0.62 ) % 0.30/0.62 % SZS output end Proof % 0.30/0.62 % cvc5 exiting %------------------------------------------------------------------------------