%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ047^5 : 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 : n007.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 08:44:04 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ047^5 : 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 % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:12:42 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.44/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort tptp.b 0) % 0.44/0.68 (declare-sort tptp.a 0) % 0.44/0.68 (declare-const tptp.cO tptp.b) % 0.44/0.68 (declare-const tptp.cL (-> tptp.b tptp.b)) % 0.44/0.68 (declare-const tptp.cW (-> tptp.b tptp.b)) % 0.44/0.68 (declare-const tptp.cG (-> tptp.b tptp.b)) % 0.44/0.68 (declare-const tptp.cS tptp.a) % 0.44/0.68 (declare-const tptp.cD (-> tptp.b tptp.b)) % 0.44/0.68 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a tptp.a tptp.b Bool)) % 0.44/0.68 (declare-const tptp.cN tptp.a) % 0.44/0.68 (define @t1 () (@var "Z" tptp.b)) % 0.44/0.68 (define @t2 () (_ tptp.cP tptp.cN)) % 0.44/0.68 (define @t3 () (_ @t2 tptp.cN)) % 0.44/0.68 (define @t4 () (_ @t3 tptp.cN)) % 0.44/0.68 (define @t5 () (_ (_ @t4 tptp.cN) @t1)) % 0.44/0.68 (define @t6 () (@list @t1)) % 0.44/0.68 (define @t7 () (exists @t6 @t5)) % 0.44/0.68 (define @t8 () (@var "V1" tptp.b)) % 0.44/0.68 (define @t9 () (_ tptp.cD @t8)) % 0.44/0.68 (define @t10 () (_ tptp.cP tptp.cS)) % 0.44/0.68 (define @t11 () (_ @t10 tptp.cS)) % 0.44/0.68 (define @t12 () (_ (_ @t11 tptp.cN) tptp.cS)) % 0.44/0.68 (define @t13 () (_ @t12 @t9)) % 0.44/0.68 (define @t14 () (_ (_ @t2 tptp.cS) tptp.cN)) % 0.44/0.68 (define @t15 () (_ @t14 tptp.cN)) % 0.44/0.68 (define @t16 () (_ @t15 @t8)) % 0.44/0.68 (define @t17 () (@list @t8)) % 0.44/0.68 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.44/0.68 (define @t19 () (@var "U1" tptp.b)) % 0.44/0.68 (define @t20 () (_ tptp.cD @t19)) % 0.44/0.68 (define @t21 () (_ @t15 @t20)) % 0.44/0.68 (define @t22 () (_ @t12 @t19)) % 0.44/0.68 (define @t23 () (@list @t19)) % 0.44/0.68 (define @t24 () (forall @t23 (=> @t22 @t21))) % 0.44/0.68 (define @t25 () (@var "T9" tptp.b)) % 0.44/0.68 (define @t26 () (_ tptp.cD @t25)) % 0.44/0.68 (define @t27 () (_ (_ @t10 tptp.cN) tptp.cS)) % 0.44/0.68 (define @t28 () (_ @t27 tptp.cS)) % 0.44/0.68 (define @t29 () (_ @t28 @t26)) % 0.44/0.68 (define @t30 () (_ (_ @t3 tptp.cS) tptp.cN)) % 0.44/0.68 (define @t31 () (_ @t30 @t25)) % 0.44/0.68 (define @t32 () (@list @t25)) % 0.44/0.68 (define @t33 () (forall @t32 (=> @t31 @t29))) % 0.44/0.68 (define @t34 () (@var "T8" tptp.b)) % 0.44/0.68 (define @t35 () (_ tptp.cD @t34)) % 0.44/0.68 (define @t36 () (_ @t30 @t35)) % 0.44/0.68 (define @t37 () (_ @t28 @t34)) % 0.44/0.68 (define @t38 () (@list @t34)) % 0.44/0.68 (define @t39 () (forall @t38 (=> @t37 @t36))) % 0.44/0.68 (define @t40 () (@var "V" tptp.b)) % 0.44/0.68 (define @t41 () (_ tptp.cG @t40)) % 0.44/0.68 (define @t42 () (@var "Y1" tptp.a)) % 0.44/0.68 (define @t43 () (@var "X1" tptp.a)) % 0.44/0.68 (define @t44 () (_ (_ (_ @t10 @t43) tptp.cS) @t42)) % 0.44/0.68 (define @t45 () (_ @t44 @t41)) % 0.44/0.68 (define @t46 () (_ (_ (_ (_ @t2 @t43) tptp.cN) @t42) @t40)) % 0.44/0.68 (define @t47 () (@list @t43 @t42 @t40)) % 0.44/0.68 (define @t48 () (forall @t47 (=> @t46 @t45))) % 0.44/0.68 (define @t49 () (@var "U" tptp.b)) % 0.44/0.68 (define @t50 () (_ tptp.cG @t49)) % 0.44/0.68 (define @t51 () (@var "Y" tptp.a)) % 0.44/0.68 (define @t52 () (@var "X" tptp.a)) % 0.44/0.68 (define @t53 () (_ (_ (_ @t2 @t52) tptp.cN) @t51)) % 0.44/0.68 (define @t54 () (_ @t53 @t50)) % 0.44/0.68 (define @t55 () (_ (_ (_ (_ @t10 @t52) tptp.cS) @t51) @t49)) % 0.44/0.68 (define @t56 () (@list @t52 @t51 @t49)) % 0.44/0.68 (define @t57 () (forall @t56 (=> @t55 @t54))) % 0.44/0.68 (define @t58 () (@var "T7" tptp.b)) % 0.44/0.68 (define @t59 () (_ tptp.cW @t58)) % 0.44/0.68 (define @t60 () (_ @t12 @t59)) % 0.44/0.68 (define @t61 () (_ @t4 tptp.cS)) % 0.44/0.68 (define @t62 () (_ @t61 @t58)) % 0.44/0.68 (define @t63 () (@list @t58)) % 0.44/0.68 (define @t64 () (forall @t63 (=> @t62 @t60))) % 0.44/0.68 (define @t65 () (@var "T6" tptp.b)) % 0.44/0.68 (define @t66 () (_ tptp.cW @t65)) % 0.44/0.68 (define @t67 () (_ @t61 @t66)) % 0.44/0.68 (define @t68 () (_ @t12 @t65)) % 0.44/0.68 (define @t69 () (@list @t65)) % 0.44/0.68 (define @t70 () (forall @t69 (=> @t68 @t67))) % 0.44/0.68 (define @t71 () (@var "T5" tptp.b)) % 0.44/0.68 (define @t72 () (_ tptp.cW @t71)) % 0.44/0.68 (define @t73 () (_ @t11 tptp.cS)) % 0.44/0.68 (define @t74 () (_ @t73 tptp.cN)) % 0.44/0.68 (define @t75 () (_ @t74 @t72)) % 0.44/0.68 (define @t76 () (_ @t30 @t71)) % 0.44/0.68 (define @t77 () (@list @t71)) % 0.44/0.68 (define @t78 () (forall @t77 (=> @t76 @t75))) % 0.44/0.68 (define @t79 () (@var "T4" tptp.b)) % 0.44/0.68 (define @t80 () (_ tptp.cW @t79)) % 0.44/0.68 (define @t81 () (_ @t30 @t80)) % 0.44/0.68 (define @t82 () (_ @t74 @t79)) % 0.44/0.68 (define @t83 () (@list @t79)) % 0.44/0.68 (define @t84 () (forall @t83 (=> @t82 @t81))) % 0.44/0.68 (define @t85 () (@var "T3" tptp.b)) % 0.44/0.68 (define @t86 () (_ tptp.cL @t85)) % 0.44/0.68 (define @t87 () (_ @t12 @t86)) % 0.44/0.68 (define @t88 () (_ @t14 tptp.cS)) % 0.44/0.68 (define @t89 () (_ @t88 @t85)) % 0.44/0.68 (define @t90 () (@list @t85)) % 0.44/0.68 (define @t91 () (forall @t90 (=> @t89 @t87))) % 0.44/0.68 (define @t92 () (@var "T2" tptp.b)) % 0.44/0.68 (define @t93 () (_ tptp.cL @t92)) % 0.44/0.68 (define @t94 () (_ @t88 @t93)) % 0.44/0.68 (define @t95 () (_ @t12 @t92)) % 0.44/0.68 (define @t96 () (@list @t92)) % 0.44/0.68 (define @t97 () (forall @t96 (=> @t95 @t94))) % 0.44/0.68 (define @t98 () (@var "T1" tptp.b)) % 0.44/0.68 (define @t99 () (_ tptp.cL @t98)) % 0.44/0.68 (define @t100 () (_ @t27 tptp.cN)) % 0.44/0.68 (define @t101 () (_ @t100 @t99)) % 0.44/0.68 (define @t102 () (_ @t30 @t98)) % 0.44/0.68 (define @t103 () (@list @t98)) % 0.44/0.68 (define @t104 () (forall @t103 (=> @t102 @t101))) % 0.44/0.68 (define @t105 () (@var "T" tptp.b)) % 0.44/0.68 (define @t106 () (_ tptp.cL @t105)) % 0.44/0.68 (define @t107 () (_ @t30 @t106)) % 0.44/0.68 (define @t108 () (_ @t100 @t105)) % 0.44/0.68 (define @t109 () (@list @t105)) % 0.44/0.68 (define @t110 () (forall @t109 (=> @t108 @t107))) % 0.44/0.68 (define @t111 () (_ (_ @t73 tptp.cS) tptp.cO)) % 0.44/0.68 (define @t112 () (and @t111 @t110 @t104 @t97 @t91 @t84 @t78 @t70 @t64 @t57 @t48 @t39 @t33 @t24 @t18)) % 0.44/0.68 (define @t113 () (=> @t112 @t7)) % 0.44/0.68 (define @t114 () (not @t113)) % 0.44/0.68 (define @t115 () (tptp.cP tptp.cN tptp.cN tptp.cN tptp.cN @t1)) % 0.44/0.68 (define @t116 () (forall @t6 (not @t115))) % 0.44/0.68 (define @t117 () (not @t116)) % 0.44/0.68 (define @t118 () (tptp.cD @t8)) % 0.44/0.68 (define @t119 () (tptp.cP tptp.cS tptp.cS tptp.cN tptp.cS @t118)) % 0.44/0.68 (define @t120 () (tptp.cP tptp.cN tptp.cS tptp.cN tptp.cN @t8)) % 0.44/0.68 (define @t121 () (forall @t17 (or (not @t120) @t119))) % 0.44/0.68 (define @t122 () (tptp.cD @t19)) % 0.44/0.68 (define @t123 () (tptp.cP tptp.cN tptp.cS tptp.cN tptp.cN @t122)) % 0.44/0.68 (define @t124 () (tptp.cP tptp.cS tptp.cS tptp.cN tptp.cS @t19)) % 0.44/0.68 (define @t125 () (forall @t23 (or (not @t124) @t123))) % 0.44/0.68 (define @t126 () (tptp.cD @t25)) % 0.44/0.68 (define @t127 () (tptp.cP tptp.cS tptp.cN tptp.cS tptp.cS @t126)) % 0.44/0.68 (define @t128 () (tptp.cP tptp.cN tptp.cN tptp.cS tptp.cN @t25)) % 0.44/0.68 (define @t129 () (forall @t32 (or (not @t128) @t127))) % 0.44/0.68 (define @t130 () (tptp.cD @t34)) % 0.44/0.68 (define @t131 () (tptp.cP tptp.cN tptp.cN tptp.cS tptp.cN @t130)) % 0.44/0.68 (define @t132 () (tptp.cP tptp.cS tptp.cN tptp.cS tptp.cS @t34)) % 0.44/0.68 (define @t133 () (forall @t38 (or (not @t132) @t131))) % 0.44/0.68 (define @t134 () (tptp.cG @t40)) % 0.44/0.68 (define @t135 () (tptp.cP tptp.cS @t43 tptp.cS @t42 @t134)) % 0.44/0.68 (define @t136 () (tptp.cP tptp.cN @t43 tptp.cN @t42 @t40)) % 0.44/0.68 (define @t137 () (forall @t47 (or (not @t136) @t135))) % 0.44/0.68 (define @t138 () (tptp.cG @t49)) % 0.44/0.68 (define @t139 () (tptp.cP tptp.cN @t52 tptp.cN @t51 @t138)) % 0.44/0.68 (define @t140 () (tptp.cP tptp.cS @t52 tptp.cS @t51 @t49)) % 0.44/0.68 (define @t141 () (forall @t56 (or (not @t140) @t139))) % 0.44/0.68 (define @t142 () (tptp.cW @t58)) % 0.44/0.68 (define @t143 () (tptp.cP tptp.cS tptp.cS tptp.cN tptp.cS @t142)) % 0.44/0.68 (define @t144 () (tptp.cP tptp.cN tptp.cN tptp.cN tptp.cS @t58)) % 0.44/0.68 (define @t145 () (forall @t63 (or (not @t144) @t143))) % 0.44/0.68 (define @t146 () (tptp.cW @t65)) % 0.44/0.68 (define @t147 () (tptp.cP tptp.cN tptp.cN tptp.cN tptp.cS @t146)) % 0.44/0.68 (define @t148 () (tptp.cP tptp.cS tptp.cS tptp.cN tptp.cS @t65)) % 0.44/0.68 (define @t149 () (forall @t69 (or (not @t148) @t147))) % 0.44/0.68 (define @t150 () (tptp.cW @t71)) % 0.44/0.68 (define @t151 () (tptp.cP tptp.cS tptp.cS tptp.cS tptp.cN @t150)) % 0.44/0.68 (define @t152 () (tptp.cP tptp.cN tptp.cN tptp.cS tptp.cN @t71)) % 0.44/0.68 (define @t153 () (forall @t77 (or (not @t152) @t151))) % 0.44/0.68 (define @t154 () (tptp.cW @t79)) % 0.44/0.68 (define @t155 () (tptp.cP tptp.cN tptp.cN tptp.cS tptp.cN @t154)) % 0.44/0.68 (define @t156 () (tptp.cP tptp.cS tptp.cS tptp.cS tptp.cN @t79)) % 0.44/0.68 (define @t157 () (forall @t83 (or (not @t156) @t155))) % 0.44/0.68 (define @t158 () (tptp.cL @t85)) % 0.44/0.68 (define @t159 () (tptp.cP tptp.cS tptp.cS tptp.cN tptp.cS @t158)) % 0.44/0.68 (define @t160 () (tptp.cP tptp.cN tptp.cS tptp.cN tptp.cS @t85)) % 0.44/0.68 (define @t161 () (forall @t90 (or (not @t160) @t159))) % 0.44/0.68 (define @t162 () (tptp.cL @t92)) % 0.44/0.68 (define @t163 () (tptp.cP tptp.cN tptp.cS tptp.cN tptp.cS @t162)) % 0.44/0.68 (define @t164 () (tptp.cP tptp.cS tptp.cS tptp.cN tptp.cS @t92)) % 0.44/0.68 (define @t165 () (forall @t96 (or (not @t164) @t163))) % 0.44/0.68 (define @t166 () (tptp.cL @t98)) % 0.44/0.68 (define @t167 () (tptp.cP tptp.cS tptp.cN tptp.cS tptp.cN @t166)) % 0.44/0.68 (define @t168 () (tptp.cP tptp.cN tptp.cN tptp.cS tptp.cN @t98)) % 0.44/0.68 (define @t169 () (forall @t103 (or (not @t168) @t167))) % 0.44/0.68 (define @t170 () (tptp.cL @t105)) % 0.44/0.68 (define @t171 () (tptp.cP tptp.cN tptp.cN tptp.cS tptp.cN @t170)) % 0.44/0.68 (define @t172 () (tptp.cP tptp.cS tptp.cN tptp.cS tptp.cN @t105)) % 0.44/0.68 (define @t173 () (forall @t109 (or (not @t172) @t171))) % 0.44/0.68 (define @t174 () (tptp.cP tptp.cS tptp.cS tptp.cS tptp.cS tptp.cO)) % 0.44/0.68 (define @t175 () (and @t111 @t173 @t169 @t165 @t161 @t157 @t153 @t149 @t145 @t141 @t137 @t133 @t129 @t125 @t121)) % 0.44/0.68 (define @t176 () (=> @t175 @t117)) % 0.44/0.68 (define @t177 () (not @t5)) % 0.44/0.68 (define @t178 () (forall @t6 @t177)) % 0.44/0.68 (define @t179 () (not @t178)) % 0.44/0.68 (define @t180 () (not @t16)) % 0.44/0.68 (define @t181 () (or @t180 @t13)) % 0.44/0.68 (define @t182 () (not @t22)) % 0.44/0.68 (define @t183 () (or @t182 @t21)) % 0.44/0.68 (define @t184 () (not @t31)) % 0.44/0.68 (define @t185 () (or @t184 @t29)) % 0.44/0.68 (define @t186 () (not @t37)) % 0.44/0.68 (define @t187 () (or @t186 @t36)) % 0.44/0.68 (define @t188 () (not @t46)) % 0.44/0.68 (define @t189 () (or @t188 @t45)) % 0.44/0.68 (define @t190 () (not @t55)) % 0.44/0.68 (define @t191 () (or @t190 @t54)) % 0.44/0.68 (define @t192 () (not @t62)) % 0.44/0.68 (define @t193 () (or @t192 @t60)) % 0.44/0.68 (define @t194 () (not @t68)) % 0.44/0.68 (define @t195 () (or @t194 @t67)) % 0.44/0.68 (define @t196 () (not @t76)) % 0.44/0.68 (define @t197 () (or @t196 @t75)) % 0.44/0.68 (define @t198 () (not @t82)) % 0.44/0.68 (define @t199 () (or @t198 @t81)) % 0.44/0.68 (define @t200 () (not @t89)) % 0.44/0.68 (define @t201 () (or @t200 @t87)) % 0.44/0.68 (define @t202 () (not @t95)) % 0.44/0.68 (define @t203 () (or @t202 @t94)) % 0.44/0.68 (define @t204 () (not @t102)) % 0.44/0.68 (define @t205 () (or @t204 @t101)) % 0.44/0.68 (define @t206 () (not @t108)) % 0.44/0.68 (define @t207 () (or @t206 @t107)) % 0.44/0.68 (define @t208 () (tptp.cG tptp.cO)) % 0.44/0.68 (define @t209 () (tptp.cL @t208)) % 0.44/0.68 (define @t210 () (tptp.cD @t209)) % 0.44/0.68 (define @t211 () (tptp.cG @t210)) % 0.44/0.68 (define @t212 () (tptp.cW @t211)) % 0.44/0.68 (define @t213 () (tptp.cL @t212)) % 0.44/0.68 (define @t214 () (tptp.cP tptp.cN tptp.cS tptp.cN tptp.cS @t208)) % 0.44/0.68 (define @t215 () (not @t174)) % 0.44/0.68 (define @t216 () (or @t215 @t214)) % 0.44/0.68 (define @t217 () (@list false false)) % 0.44/0.68 (define @t218 () (tptp.cP tptp.cS tptp.cS tptp.cN tptp.cS @t209)) % 0.44/0.68 (define @t219 () (not @t214)) % 0.44/0.68 (define @t220 () (or @t219 @t218)) % 0.44/0.68 (define @t221 () (tptp.cP tptp.cN tptp.cS tptp.cN tptp.cN @t210)) % 0.44/0.68 (define @t222 () (not @t218)) % 0.44/0.68 (define @t223 () (or @t222 @t221)) % 0.44/0.68 (define @t224 () (tptp.cP tptp.cS tptp.cS tptp.cS tptp.cN @t211)) % 0.44/0.68 (define @t225 () (not @t221)) % 0.44/0.68 (define @t226 () (or @t225 @t224)) % 0.44/0.68 (define @t227 () (tptp.cP tptp.cN tptp.cN tptp.cS tptp.cN @t212)) % 0.44/0.68 (define @t228 () (not @t224)) % 0.44/0.68 (define @t229 () (or @t228 @t227)) % 0.44/0.68 (define @t230 () (tptp.cP tptp.cS tptp.cN tptp.cS tptp.cN @t213)) % 0.44/0.68 (define @t231 () (not @t227)) % 0.44/0.68 (define @t232 () (or @t231 @t230)) % 0.44/0.68 (define @t233 () (tptp.cG @t213)) % 0.44/0.68 (define @t234 () (tptp.cP tptp.cN tptp.cN tptp.cN tptp.cN @t233)) % 0.44/0.68 (define @t235 () (not @t230)) % 0.44/0.68 (define @t236 () (or @t235 @t234)) % 0.44/0.68 (assume @p1 @t114) % 0.44/0.68 (assume @p2 true) % 0.44/0.68 (step @p3 :rule refl :args 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