%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU997^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:53:38 AM UTC 2026 % Result : Theorem 0.45s 0.67s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU997^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:06:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.45/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.67 % SZS status Theorem % 0.45/0.67 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort tptp.a 0) % 0.45/0.67 (define @t1 () (@var "Xz" tptp.a)) % 0.45/0.67 (define @t2 () (@var "Xy" tptp.a)) % 0.45/0.67 (define @t3 () (= @t2 @t1)) % 0.45/0.67 (define @t4 () (@var "BOTTOM" tptp.a)) % 0.45/0.67 (define @t5 () (@var "Xx" tptp.a)) % 0.45/0.67 (define @t6 () (@var "MEET" (-> tptp.a tptp.a tptp.a))) % 0.45/0.67 (define @t7 () (_ @t6 @t5)) % 0.45/0.67 (define @t8 () (_ @t7 @t1)) % 0.45/0.67 (define @t9 () (@var "TOP" tptp.a)) % 0.45/0.67 (define @t10 () (@var "JOIN" (-> tptp.a tptp.a tptp.a))) % 0.45/0.67 (define @t11 () (_ @t10 @t5)) % 0.45/0.67 (define @t12 () (_ @t11 @t1)) % 0.45/0.67 (define @t13 () (_ @t7 @t2)) % 0.45/0.67 (define @t14 () (= @t13 @t4)) % 0.45/0.67 (define @t15 () (_ @t11 @t2)) % 0.45/0.67 (define @t16 () (= @t15 @t9)) % 0.45/0.67 (define @t17 () (and @t16 @t14 (= @t12 @t9) (= @t8 @t4))) % 0.45/0.67 (define @t18 () (=> @t17 @t3)) % 0.45/0.67 (define @t19 () (@list @t5 @t2 @t1)) % 0.45/0.67 (define @t20 () (forall @t19 @t18)) % 0.45/0.67 (define @t21 () (and @t16 @t14)) % 0.45/0.67 (define @t22 () (@list @t2)) % 0.45/0.67 (define @t23 () (exists @t22 @t21)) % 0.45/0.67 (define @t24 () (@list @t5)) % 0.45/0.67 (define @t25 () (forall @t24 @t23)) % 0.45/0.67 (define @t26 () (_ (_ @t10 @t4) @t5)) % 0.45/0.67 (define @t27 () (forall @t24 (= @t26 @t5))) % 0.45/0.67 (define @t28 () (_ (_ @t6 @t4) @t5)) % 0.45/0.67 (define @t29 () (forall @t24 (= @t28 @t4))) % 0.45/0.67 (define @t30 () (_ (_ @t10 @t9) @t5)) % 0.45/0.67 (define @t31 () (forall @t24 (= @t30 @t9))) % 0.45/0.67 (define @t32 () (_ (_ @t6 @t9) @t5)) % 0.45/0.67 (define @t33 () (forall @t24 (= @t32 @t5))) % 0.45/0.67 (define @t34 () (_ @t6 @t15)) % 0.45/0.67 (define @t35 () (_ @t34 @t12)) % 0.45/0.67 (define @t36 () (_ @t6 @t2)) % 0.45/0.67 (define @t37 () (_ @t36 @t1)) % 0.45/0.67 (define @t38 () (_ @t11 @t37)) % 0.45/0.67 (define @t39 () (= @t38 @t35)) % 0.45/0.67 (define @t40 () (forall @t19 @t39)) % 0.45/0.67 (define @t41 () (_ @t10 @t13)) % 0.45/0.67 (define @t42 () (_ @t41 @t8)) % 0.45/0.67 (define @t43 () (_ @t10 @t2)) % 0.45/0.67 (define @t44 () (_ @t43 @t1)) % 0.45/0.67 (define @t45 () (_ @t7 @t44)) % 0.45/0.67 (define @t46 () (= @t45 @t42)) % 0.45/0.67 (define @t47 () (forall @t19 @t46)) % 0.45/0.67 (define @t48 () (_ @t34 @t2)) % 0.45/0.67 (define @t49 () (@list @t5 @t2)) % 0.45/0.67 (define @t50 () (forall @t49 (= @t48 @t2))) % 0.45/0.67 (define @t51 () (_ @t41 @t2)) % 0.45/0.67 (define @t52 () (forall @t49 (= @t51 @t2))) % 0.45/0.67 (define @t53 () (_ @t36 @t5)) % 0.45/0.67 (define @t54 () (= @t13 @t53)) % 0.45/0.67 (define @t55 () (forall @t49 @t54)) % 0.45/0.67 (define @t56 () (_ @t43 @t5)) % 0.45/0.67 (define @t57 () (= @t15 @t56)) % 0.45/0.67 (define @t58 () (forall @t49 @t57)) % 0.45/0.67 (define @t59 () (_ @t7 @t37)) % 0.45/0.67 (define @t60 () (_ (_ @t6 @t13) @t1)) % 0.45/0.67 (define @t61 () (= @t60 @t59)) % 0.45/0.67 (define @t62 () (forall @t19 @t61)) % 0.45/0.67 (define @t63 () (_ @t11 @t44)) % 0.45/0.67 (define @t64 () (_ (_ @t10 @t15) @t1)) % 0.45/0.67 (define @t65 () (= @t64 @t63)) % 0.45/0.67 (define @t66 () (forall @t19 @t65)) % 0.45/0.67 (define @t67 () (_ @t7 @t5)) % 0.45/0.67 (define @t68 () (forall @t24 (= @t67 @t5))) % 0.45/0.67 (define @t69 () (_ @t11 @t5)) % 0.45/0.67 (define @t70 () (forall @t24 (= @t69 @t5))) % 0.45/0.67 (define @t71 () (and @t70 @t68 @t66 @t62 @t58 @t55 @t52 @t50 @t47 @t40 @t33 @t31 @t29 @t27 @t25)) % 0.45/0.67 (define @t72 () (=> @t71 @t20)) % 0.45/0.67 (define @t73 () (@list @t10 @t6 @t9 @t4)) % 0.45/0.67 (define @t74 () (forall @t73 @t72)) % 0.45/0.67 (define @t75 () (not @t74)) % 0.45/0.67 (define @t76 () (@var "BOUND_VARIABLE_7644" tptp.a)) % 0.45/0.67 (define @t77 () (@var "BOUND_VARIABLE_7642" tptp.a)) % 0.45/0.67 (define @t78 () (= @t77 @t76)) % 0.45/0.67 (define @t79 () (@var "BOUND_VARIABLE_7640" tptp.a)) % 0.45/0.67 (define @t80 () (_ @t6 @t79 @t76)) % 0.45/0.67 (define @t81 () (_ @t6 @t79 @t77)) % 0.45/0.67 (define @t82 () (not (= @t81 @t80))) % 0.45/0.67 (define @t83 () (_ @t10 @t79 @t76)) % 0.45/0.67 (define @t84 () (_ @t10 @t79 @t77)) % 0.45/0.67 (define @t85 () (not (= @t84 @t83))) % 0.45/0.67 (define @t86 () (_ @t6 @t5 @t2)) % 0.45/0.67 (define @t87 () (_ @t10 @t5 @t2)) % 0.45/0.67 (define @t88 () (not (= @t87 @t84))) % 0.45/0.67 (define @t89 () (not (forall @t24 (not (forall @t22 (or @t88 (not (= @t86 @t81)))))))) % 0.45/0.67 (define @t90 () (not (forall @t24 (= @t5 (_ @t10 @t81 @t5))))) % 0.45/0.67 (define @t91 () (not (forall @t24 (= @t81 (_ @t6 @t81 @t5))))) % 0.45/0.67 (define @t92 () (not (forall @t24 (= @t84 (_ @t10 @t84 @t5))))) % 0.45/0.67 (define @t93 () (not (forall @t24 (= @t5 (_ @t6 @t84 @t5))))) % 0.45/0.67 (define @t94 () (_ @t10 @t5 @t1)) % 0.45/0.67 (define @t95 () (_ @t6 @t87 @t94)) % 0.45/0.67 (define @t96 () (_ @t6 @t2 @t1)) % 0.45/0.67 (define @t97 () (_ @t10 @t5 @t96)) % 0.45/0.67 (define @t98 () (forall @t19 (= @t97 @t95))) % 0.45/0.67 (define @t99 () (not @t98)) % 0.45/0.67 (define @t100 () (_ @t6 @t5 @t1)) % 0.45/0.67 (define @t101 () (_ @t10 @t86 @t100)) % 0.45/0.67 (define @t102 () (_ @t10 @t2 @t1)) % 0.45/0.67 (define @t103 () (_ @t6 @t5 @t102)) % 0.45/0.67 (define @t104 () (forall @t19 (= @t103 @t101))) % 0.45/0.67 (define @t105 () (not @t104)) % 0.45/0.67 (define @t106 () (_ @t6 @t87 @t2)) % 0.45/0.67 (define @t107 () (forall @t49 (= @t2 @t106))) % 0.45/0.67 (define @t108 () (not @t107)) % 0.45/0.67 (define @t109 () (_ @t10 @t86 @t2)) % 0.45/0.67 (define @t110 () (forall @t49 (= @t2 @t109))) % 0.45/0.67 (define @t111 () (not @t110)) % 0.45/0.67 (define @t112 () (_ @t6 @t2 @t5)) % 0.45/0.67 (define @t113 () (forall @t49 (= @t86 @t112))) % 0.45/0.67 (define @t114 () (not @t113)) % 0.45/0.67 (define @t115 () (_ @t10 @t2 @t5)) % 0.45/0.67 (define @t116 () (forall @t49 (= @t87 @t115))) % 0.45/0.67 (define @t117 () (not @t116)) % 0.45/0.67 (define @t118 () (_ @t6 @t5 @t96)) % 0.45/0.67 (define @t119 () (_ @t6 @t86 @t1)) % 0.45/0.67 (define @t120 () (forall @t19 (= @t119 @t118))) % 0.45/0.67 (define @t121 () (not @t120)) % 0.45/0.67 (define @t122 () (_ @t10 @t5 @t102)) % 0.45/0.67 (define @t123 () (_ @t10 @t87 @t1)) % 0.45/0.67 (define @t124 () (forall @t19 (= @t123 @t122))) % 0.45/0.67 (define @t125 () (not @t124)) % 0.45/0.67 (define @t126 () (_ @t6 @t5 @t5)) % 0.45/0.67 (define @t127 () (forall @t24 (= @t5 @t126))) % 0.45/0.67 (define @t128 () (not @t127)) % 0.45/0.67 (define @t129 () (_ @t10 @t5 @t5)) % 0.45/0.67 (define @t130 () (forall @t24 (= @t5 @t129))) % 0.45/0.67 (define @t131 () (not @t130)) % 0.45/0.67 (define @t132 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t93 @t92 @t91 @t90 @t89 @t85 @t82 @t78)) % 0.45/0.67 (define @t133 () (not (= @t81 @t81))) % 0.45/0.67 (define @t134 () (not (= @t81 @t86))) % 0.45/0.67 (define @t135 () (or @t88 @t134)) % 0.45/0.67 (define @t136 () (forall @t22 @t135)) % 0.45/0.67 (define @t137 () (not @t136)) % 0.45/0.67 (define @t138 () (forall @t24 @t137)) % 0.45/0.67 (define @t139 () (not @t138)) % 0.45/0.67 (define @t140 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t93 @t92 @t91 @t90 @t139 @t133 @t85 @t82 @t78)) % 0.45/0.67 (define @t141 () (@list @t10 @t6 @t79 @t77 @t76)) % 0.45/0.67 (define @t142 () (not (= @t4 @t80))) % 0.45/0.67 (define @t143 () (not (= @t4 @t81))) % 0.45/0.67 (define @t144 () (not (= @t4 @t86))) % 0.45/0.67 (define @t145 () (not (forall @t24 (not (forall @t22 (or @t88 @t144)))))) % 0.45/0.67 (define @t146 () (_ @t10 @t4 @t5)) % 0.45/0.67 (define @t147 () (forall @t24 (= @t5 @t146))) % 0.45/0.67 (define @t148 () (not @t147)) % 0.45/0.67 (define @t149 () (_ @t6 @t4 @t5)) % 0.45/0.67 (define @t150 () (forall @t24 (= @t4 @t149))) % 0.45/0.67 (define @t151 () (not @t150)) % 0.45/0.67 (define @t152 () (or @t143 @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t93 @t92 @t151 @t148 @t145 @t143 @t85 @t142 @t78)) % 0.45/0.67 (define @t153 () (@list @t4)) % 0.45/0.67 (define @t154 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t93 @t92 @t151 @t148 @t145 @t143 @t85 @t142 @t78)) % 0.45/0.67 (define @t155 () (forall @t153 @t154)) % 0.45/0.67 (define @t156 () (forall @t141 @t155)) % 0.45/0.67 (define @t157 () (forall (@list @t10 @t6 @t79 @t77 @t76 @t4) @t154)) % 0.45/0.67 (define @t158 () (@list @t10 @t6 @t4 @t79 @t77 @t76)) % 0.45/0.67 (define @t159 () (not (= @t84 @t84))) % 0.45/0.67 (define @t160 () (not (= @t84 @t87))) % 0.45/0.67 (define @t161 () (or @t160 @t144)) % 0.45/0.67 (define @t162 () (forall @t22 @t161)) % 0.45/0.67 (define @t163 () (not @t162)) % 0.45/0.67 (define @t164 () (forall @t24 @t163)) % 0.45/0.67 (define @t165 () (not @t164)) % 0.45/0.67 (define @t166 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t93 @t92 @t151 @t148 @t165 @t159 @t143 @t85 @t142 @t78)) % 0.45/0.67 (define @t167 () (not (= @t9 @t83))) % 0.45/0.67 (define @t168 () (not (= @t9 @t84))) % 0.45/0.67 (define @t169 () (not (= @t9 @t87))) % 0.45/0.67 (define @t170 () (forall @t24 (not (forall @t22 (or @t169 @t144))))) % 0.45/0.67 (define @t171 () (not @t170)) % 0.45/0.67 (define @t172 () (_ @t10 @t9 @t5)) % 0.45/0.67 (define @t173 () (forall @t24 (= @t9 @t172))) % 0.45/0.67 (define @t174 () (not @t173)) % 0.45/0.67 (define @t175 () (_ @t6 @t9 @t5)) % 0.45/0.67 (define @t176 () (forall @t24 (= @t5 @t175))) % 0.45/0.67 (define @t177 () (not @t176)) % 0.45/0.67 (define @t178 () (or @t168 @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t177 @t174 @t151 @t148 @t171 @t168 @t143 @t167 @t142 @t78)) % 0.45/0.67 (define @t179 () (@list @t9)) % 0.45/0.67 (define @t180 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t177 @t174 @t151 @t148 @t171 @t168 @t143 @t167 @t142 @t78)) % 0.45/0.67 (define @t181 () (forall @t179 @t180)) % 0.45/0.67 (define @t182 () (forall @t158 @t181)) % 0.45/0.67 (define @t183 () (forall (@list @t10 @t6 @t4 @t79 @t77 @t76 @t9) @t180)) % 0.45/0.67 (define @t184 () (@list @t10 @t6 @t9 @t4 @t79 @t77 @t76)) % 0.45/0.67 (define @t185 () (or @t168 @t143 @t167 @t142 @t78)) % 0.45/0.67 (define @t186 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t177 @t174 @t151 @t148 @t171 @t185)) % 0.45/0.67 (define @t187 () (forall @t184 @t186)) % 0.45/0.67 (define @t188 () (@list @t79 @t77 @t76)) % 0.45/0.67 (define @t189 () (forall @t188 @t186)) % 0.45/0.67 (define @t190 () (forall @t188 @t185)) % 0.45/0.67 (define @t191 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t177 @t174 @t151 @t148 @t171 @t190)) % 0.45/0.67 (define @t192 () (forall @t19 (or @t169 @t144 (not (= @t9 @t94)) (not (= @t4 @t100)) @t3))) % 0.45/0.67 (define @t193 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t177 @t174 @t151 @t148 @t171 @t192)) % 0.45/0.67 (define @t194 () (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t177 @t174 @t151 @t148 @t171)) % 0.45/0.67 (define @t195 () (and @t130 @t127 @t124 @t120 @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170)) % 0.45/0.67 (define @t196 () (= @t4 @t8)) % 0.45/0.67 (define @t197 () (not @t196)) % 0.45/0.67 (define @t198 () (= @t9 @t12)) % 0.45/0.67 (define @t199 () (not @t198)) % 0.45/0.67 (define @t200 () (= @t4 @t13)) % 0.45/0.67 (define @t201 () (not @t200)) % 0.45/0.67 (define @t202 () (= @t9 @t15)) % 0.45/0.67 (define @t203 () (not @t202)) % 0.45/0.67 (define @t204 () (or @t203 @t201 @t199 @t197 @t3)) % 0.45/0.67 (define @t205 () (or @t203 @t201 @t199 @t197)) % 0.45/0.67 (define @t206 () (and @t202 @t200 @t198 @t196)) % 0.45/0.67 (define @t207 () (or @t203 @t201)) % 0.45/0.67 (define @t208 () (and @t202 @t200)) % 0.45/0.67 (define @t209 () (forall @t22 (not @t208))) % 0.45/0.67 (define @t210 () (not @t209)) % 0.45/0.67 (define @t211 () (= @t5 @t26)) % 0.45/0.67 (define @t212 () (= @t4 @t28)) % 0.45/0.67 (define @t213 () (= @t9 @t30)) % 0.45/0.67 (define @t214 () (= @t5 @t32)) % 0.45/0.67 (define @t215 () (_ @t6 @t87)) % 0.45/0.67 (define @t216 () (_ @t10 @t86)) % 0.45/0.67 (define @t217 () (= @t2 @t48)) % 0.45/0.67 (define @t218 () (= @t2 @t51)) % 0.45/0.67 (define @t219 () (= @t5 @t67)) % 0.45/0.67 (define @t220 () (= @t5 @t69)) % 0.45/0.67 (define @t221 () (forall @t141 @t132)) % 0.45/0.67 (define @t222 () (@quantifiers_skolemize @t221 1)) % 0.45/0.67 (define @t223 () (_ @t222 @t5 @t2)) % 0.45/0.67 (define @t224 () (@quantifiers_skolemize @t221 0)) % 0.45/0.67 (define @t225 () (_ @t224 @t2 @t1)) % 0.45/0.67 (define @t226 () (forall @t19 (= (_ @t222 @t5 @t225) (_ @t224 @t223 (_ @t222 @t5 @t1))))) % 0.45/0.67 (define @t227 () (@quantifiers_skolemize @t221 4)) % 0.45/0.67 (define @t228 () (@quantifiers_skolemize @t221 3)) % 0.45/0.67 (define @t229 () (= @t228 @t227)) % 0.45/0.67 (define @t230 () (@quantifiers_skolemize @t221 2)) % 0.45/0.67 (define @t231 () (_ @t222 @t230 @t227)) % 0.45/0.67 (define @t232 () (_ @t222 @t230 @t228)) % 0.45/0.67 (define @t233 () (= @t232 @t231)) % 0.45/0.67 (define @t234 () (not @t233)) % 0.45/0.67 (define @t235 () (_ @t224 @t230 @t227)) % 0.45/0.67 (define @t236 () (_ @t224 @t230 @t228)) % 0.45/0.67 (define @t237 () (= @t236 @t235)) % 0.45/0.67 (define @t238 () (not @t237)) % 0.45/0.67 (define @t239 () (_ @t224 @t5 @t2)) % 0.45/0.67 (define @t240 () (forall @t24 (= @t5 (_ @t224 @t232 @t5)))) % 0.45/0.67 (define @t241 () (not @t240)) % 0.45/0.67 (define @t242 () (forall @t24 (= @t5 (_ @t222 @t236 @t5)))) % 0.45/0.67 (define @t243 () (not @t242)) % 0.45/0.67 (define @t244 () (_ @t222 @t2 @t1)) % 0.45/0.67 (define @t245 () (forall @t19 (= (_ @t224 @t5 @t244) (_ @t222 @t239 (_ @t224 @t5 @t1))))) % 0.45/0.67 (define @t246 () (not @t245)) % 0.45/0.67 (define @t247 () (not @t226)) % 0.45/0.67 (define @t248 () (forall @t49 (= @t2 (_ @t222 @t239 @t2)))) % 0.45/0.67 (define @t249 () (not @t248)) % 0.45/0.67 (define @t250 () (forall @t49 (= @t2 (_ @t224 @t223 @t2)))) % 0.45/0.67 (define @t251 () (not @t250)) % 0.45/0.67 (define @t252 () (forall @t49 (= @t223 (_ @t222 @t2 @t5)))) % 0.45/0.67 (define @t253 () (not @t252)) % 0.45/0.67 (define @t254 () (forall @t49 (= @t239 (_ @t224 @t2 @t5)))) % 0.45/0.67 (define @t255 () (not @t254)) % 0.45/0.67 (define @t256 () (or (not (forall @t24 (= @t5 (_ @t224 @t5 @t5)))) (not (forall @t24 (= @t5 (_ @t222 @t5 @t5)))) (not (forall @t19 (= (_ @t224 @t239 @t1) (_ @t224 @t5 @t225)))) (not (forall @t19 (= (_ @t222 @t223 @t1) (_ @t222 @t5 @t244)))) @t255 @t253 @t251 @t249 @t247 @t246 @t243 (not (forall @t24 (= @t236 (_ @t224 @t236 @t5)))) (not (forall @t24 (= @t232 (_ @t222 @t232 @t5)))) @t241 (not (forall @t24 (not (forall @t22 (or (not (= @t239 @t236)) (not (= @t223 @t232))))))) @t238 @t234 @t229)) % 0.45/0.67 (define @t257 () (@list true)) % 0.45/0.67 (define @t258 () (@list @t256)) % 0.45/0.67 (define @t259 () (@list @t230 @t227)) % 0.45/0.67 (define @t260 () (@list @t227 @t230 @t228)) % 0.45/0.67 (define @t261 () (_ @t224 @t227 @t228)) % 0.45/0.67 (define @t262 () (_ @t222 @t228 @t235)) % 0.45/0.67 (define @t263 () (_ @t222 @t227 @t228)) % 0.45/0.67 (define @t264 () (_ @t222 @t227 @t235)) % 0.45/0.67 (define @t265 () (_ @t222 @t228 @t264)) % 0.45/0.67 (define @t266 () (_ @t224 @t265 @t262)) % 0.45/0.67 (define @t267 () (_ @t222 @t228 (_ @t224 @t264 @t235))) % 0.45/0.67 (define @t268 () (= @t267 @t266)) % 0.45/0.67 (assume @p1 @t75) % 0.45/0.67 (assume @p2 true) % 0.45/0.67 (step @p3 :rule aci_norm :args ((= (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t93 @t92 @t91 @t90 @t89 false @t85 @t82 @t78) @t132))) % 0.45/0.67 (step @p4 :rule refl :args (@t78)) % 0.45/0.67 (step @p5 :rule refl :args (@t82)) % 0.45/0.67 (step @p6 :rule refl :args (@t85)) % 0.45/0.67 (step @p7 :rule evaluate :args ((not true))) % 0.45/0.67 (step @p8 :rule eq-refl :args (@t81)) % 0.45/0.67 (step @p9 :rule cong :premises (@p8) :args (@t133)) % 0.45/0.67 (step @p10 :rule trans :premises (@p9 @p7)) % 0.45/0.67 (step @p11 :rule eq-symm :args (@t81 @t86)) % 0.45/0.67 (step @p12 :rule cong :premises (@p11) :args (@t134)) % 0.45/0.67 (step @p13 :rule refl :args (@t88)) % 0.45/0.67 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t135)) % 0.45/0.67 (step @p15 :rule cong :premises (@p14) :args (@t136)) % 0.45/0.67 (step @p16 :rule cong :premises (@p15) :args (@t137)) % 0.45/0.67 (step @p17 :rule cong :premises (@p16) :args (@t138)) % 0.45/0.67 (step @p18 :rule cong :premises (@p17) :args (@t139)) % 0.45/0.67 (step @p19 :rule refl :args (@t90)) % 0.45/0.67 (step @p20 :rule refl :args (@t91)) % 0.45/0.67 (step @p21 :rule refl :args (@t92)) % 0.45/0.67 (step @p22 :rule refl :args (@t93)) % 0.45/0.67 (step @p23 :rule refl :args (@t99)) % 0.45/0.67 (step @p24 :rule refl :args (@t105)) % 0.45/0.67 (step @p25 :rule refl :args (@t108)) % 0.45/0.67 (step @p26 :rule refl :args (@t111)) % 0.45/0.67 (step @p27 :rule refl :args (@t114)) % 0.45/0.67 (step @p28 :rule refl :args (@t117)) % 0.45/0.67 (step @p29 :rule refl :args (@t121)) % 0.45/0.67 (step @p30 :rule refl :args (@t125)) % 0.45/0.67 (step @p31 :rule refl :args (@t128)) % 0.45/0.67 (step @p32 :rule refl :args (@t131)) % 0.45/0.67 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p10 @p6 @p5 @p4) :args (@t140)) % 0.45/0.67 (step @p34 :rule trans :premises (@p33 @p3)) % 0.45/0.67 (step @p35 :rule cong :premises (@p34) :args ((forall @t141 @t140))) % 0.45/0.67 (step @p36 :rule quant-var-elim-eq :args ((= (forall @t153 @t152) @t140))) % 0.45/0.67 (step @p37 :rule aci_norm :args ((= @t154 @t152))) % 0.45/0.67 (step @p38 :rule cong :premises (@p37) :args (@t155)) % 0.45/0.67 (step @p39 :rule trans :premises (@p38 @p36)) % 0.45/0.67 (step @p40 :rule cong :premises (@p39) :args (@t156)) % 0.45/0.67 (step @p41 :rule quant-merge-prenex :args ((= @t156 @t157))) % 0.45/0.67 (step @p42 :rule symm :premises (@p41)) % 0.45/0.67 (step @p43 :rule quant_var_reordering :args ((= (forall @t158 @t154) @t157))) % 0.45/0.67 (step @p44 :rule trans :premises (@p43 @p42 @p40)) % 0.45/0.67 (step @p45 :rule trans :premises (@p44 @p35)) % 0.45/0.67 (step @p46 :rule aci_norm :args ((= (or @t131 @t128 @t125 @t121 @t117 @t114 @t111 @t108 @t105 @t99 @t93 @t92 @t151 @t148 @t145 false @t143 @t85 @t142 @t78) @t154))) % 0.45/0.67 (step @p47 :rule refl :args (@t142)) % 0.45/0.67 (step @p48 :rule refl :args (@t143)) % 0.45/0.67 (step @p49 :rule eq-refl :args (@t84)) % 0.45/0.67 (step @p50 :rule cong :premises (@p49) :args (@t159)) % 0.45/0.67 (step @p51 :rule trans :premises (@p50 @p7)) % 0.45/0.67 (step @p52 :rule refl :args (@t144)) % 0.45/0.67 (step @p53 :rule eq-symm :args (@t84 @t87)) % 0.45/0.67 (step @p54 :rule cong :premises (@p53) :args (@t160)) % 0.45/0.67 (step @p55 :rule nary_cong :premises (@p54 @p52) :args (@t161)) % 0.45/0.67 (step @p56 :rule cong :premises (@p55) :args (@t162)) % 0.45/0.67 (step @p57 :rule cong :premises (@p56) :args (@t163)) % 0.45/0.67 (step @p58 :rule cong :premises (@p57) :args (@t164)) % 0.45/0.67 (step @p59 :rule cong :premises (@p58) :args (@t165)) % 0.45/0.67 (step @p60 :rule refl :args (@t148)) % 0.45/0.67 (step @p61 :rule refl :args (@t151)) % 0.45/0.67 (step @p62 :rule nary_cong :premises (@p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p61 @p60 @p59 @p51 @p48 @p6 @p47 @p4) :args (@t166)) % 0.45/0.67 (step @p63 :rule trans :premises (@p62 @p46)) % 0.45/0.67 (step @p64 :rule cong :premises (@p63) :args ((forall @t158 @t166))) % 0.45/0.67 (step @p65 :rule trans :premises (@p64 @p45)) % 0.45/0.67 (step @p66 :rule quant-var-elim-eq :args ((= (forall @t179 @t178) @t166))) % 0.45/0.67 (step @p67 :rule aci_norm :args ((= @t180 @t178))) % 0.45/0.67 (step @p68 :rule cong :premises (@p67) :args (@t181)) % 0.45/0.67 (step @p69 :rule trans :premises (@p68 @p66)) % 0.45/0.67 (step @p70 :rule cong :premises (@p69) :args (@t182)) % 0.45/0.67 (step @p71 :rule quant-merge-prenex :args ((= @t182 @t183))) % 0.45/0.67 (step @p72 :rule symm :premises (@p71)) % 0.45/0.67 (step @p73 :rule quant_var_reordering :args ((= (forall @t184 @t180) @t183))) % 0.45/0.67 (step @p74 :rule trans :premises (@p73 @p72 @p70)) % 0.45/0.67 (step @p75 :rule trans :premises (@p74 @p65)) % 0.45/0.67 (step @p76 :rule aci_norm :args ((= @t186 @t180))) % 0.45/0.67 (step @p77 :rule cong :premises (@p76) :args (@t187)) % 0.45/0.67 (step @p78 :rule trans :premises (@p77 @p75)) % 0.45/0.67 (step @p79 :rule quant-merge-prenex :args ((= (forall @t73 @t189) @t187))) % 0.45/0.67 (step @p80 :rule alpha_equiv :args (@t190 (@list @t79 @t77 @t76) (@list @t5 @t2 @t1))) % 0.45/0.67 (step @p81 :rule refl :args (@t171)) % 0.45/0.67 (step @p82 :rule refl :args (@t148)) % 0.45/0.67 (step @p83 :rule refl :args (@t151)) % 0.45/0.67 (step @p84 :rule refl :args (@t174)) % 0.45/0.67 (step @p85 :rule refl :args (@t177)) % 0.45/0.67 (step @p86 :rule refl :args (@t99)) % 0.45/0.67 (step @p87 :rule refl :args (@t105)) % 0.45/0.67 (step @p88 :rule refl :args (@t108)) % 0.45/0.67 (step @p89 :rule refl :args (@t111)) % 0.45/0.67 (step @p90 :rule refl :args (@t114)) % 0.45/0.67 (step @p91 :rule refl :args (@t117)) % 0.45/0.67 (step @p92 :rule refl :args (@t121)) % 0.45/0.67 (step @p93 :rule refl :args (@t125)) % 0.45/0.67 (step @p94 :rule refl :args (@t128)) % 0.45/0.67 (step @p95 :rule refl :args (@t131)) % 0.45/0.67 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80) :args (@t191)) % 0.45/0.67 (step @p97 :rule quant-miniscope-or :args ((= @t189 @t191))) % 0.45/0.67 (step @p98 :rule trans :premises (@p97 @p96)) % 0.45/0.67 (step @p99 :rule symm :premises (@p98)) % 0.45/0.67 (step @p100 :rule cong :premises (@p99) :args ((forall @t73 @t193))) % 0.45/0.67 (step @p101 :rule trans :premises (@p100 @p79)) % 0.45/0.67 (step @p102 :rule trans :premises (@p101 @p78)) % 0.45/0.67 (step @p103 :rule aci_norm :args ((= (or @t194 @t192) @t193))) % 0.45/0.67 (step @p104 :rule refl :args (@t192)) % 0.45/0.67 (step @p105 :rule aci_norm :args ((= (or @t131 (or @t128 (or @t125 (or @t121 (or @t117 (or @t114 (or @t111 (or @t108 (or @t105 (or @t99 (or @t177 (or @t174 (or @t151 (or @t148 @t171)))))))))))))) @t194))) % 0.45/0.67 (step @p106 :rule bool-and-de-morgan :args (@t147 @t170 true)) % 0.45/0.67 (step @p107 :rule nary_cong :premises (@p83 @p106) :args ((or @t151 (not (and @t147 @t170))))) % 0.45/0.67 (step @p108 :rule bool-and-de-morgan :args (@t150 @t147 (and @t170))) % 0.45/0.67 (step @p109 :rule trans :premises (@p108 @p107)) % 0.45/0.67 (step @p110 :rule nary_cong :premises (@p84 @p109) :args ((or @t174 (not (and @t150 @t147 @t170))))) % 0.45/0.67 (step @p111 :rule bool-and-de-morgan :args (@t173 @t150 (and @t147 @t170))) % 0.45/0.67 (step @p112 :rule trans :premises (@p111 @p110)) % 0.45/0.67 (step @p113 :rule nary_cong :premises (@p85 @p112) :args ((or @t177 (not (and @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p114 :rule bool-and-de-morgan :args (@t176 @t173 (and @t150 @t147 @t170))) % 0.45/0.67 (step @p115 :rule trans :premises (@p114 @p113)) % 0.45/0.67 (step @p116 :rule nary_cong :premises (@p86 @p115) :args ((or @t99 (not (and @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p117 :rule bool-and-de-morgan :args (@t98 @t176 (and @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p118 :rule trans :premises (@p117 @p116)) % 0.45/0.67 (step @p119 :rule nary_cong :premises (@p87 @p118) :args ((or @t105 (not (and @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p120 :rule bool-and-de-morgan :args (@t104 @t98 (and @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p121 :rule trans :premises (@p120 @p119)) % 0.45/0.67 (step @p122 :rule nary_cong :premises (@p88 @p121) :args ((or @t108 (not (and @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p123 :rule bool-and-de-morgan :args (@t107 @t104 (and @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p124 :rule trans :premises (@p123 @p122)) % 0.45/0.67 (step @p125 :rule nary_cong :premises (@p89 @p124) :args ((or @t111 (not (and @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p126 :rule bool-and-de-morgan :args (@t110 @t107 (and @t104 @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p127 :rule trans :premises (@p126 @p125)) % 0.45/0.67 (step @p128 :rule nary_cong :premises (@p90 @p127) :args ((or @t114 (not (and @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p129 :rule bool-and-de-morgan :args (@t113 @t110 (and @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p130 :rule trans :premises (@p129 @p128)) % 0.45/0.67 (step @p131 :rule nary_cong :premises (@p91 @p130) :args ((or @t117 (not (and @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p132 :rule bool-and-de-morgan :args (@t116 @t113 (and @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p133 :rule trans :premises (@p132 @p131)) % 0.45/0.67 (step @p134 :rule nary_cong :premises (@p92 @p133) :args ((or @t121 (not (and @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p135 :rule bool-and-de-morgan :args (@t120 @t116 (and @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p136 :rule trans :premises (@p135 @p134)) % 0.45/0.67 (step @p137 :rule nary_cong :premises (@p93 @p136) :args ((or @t125 (not (and @t120 @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p138 :rule bool-and-de-morgan :args (@t124 @t120 (and @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p139 :rule trans :premises (@p138 @p137)) % 0.45/0.67 (step @p140 :rule nary_cong :premises (@p94 @p139) :args ((or @t128 (not (and @t124 @t120 @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p141 :rule bool-and-de-morgan :args (@t127 @t124 (and @t120 @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p142 :rule trans :premises (@p141 @p140)) % 0.45/0.67 (step @p143 :rule nary_cong :premises (@p95 @p142) :args ((or @t131 (not (and @t127 @t124 @t120 @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))))) % 0.45/0.67 (step @p144 :rule bool-and-de-morgan :args (@t130 @t127 (and @t124 @t120 @t116 @t113 @t110 @t107 @t104 @t98 @t176 @t173 @t150 @t147 @t170))) % 0.45/0.67 (step @p145 :rule trans :premises (@p144 @p143)) % 0.45/0.67 (step @p146 :rule trans :premises (@p145 @p105)) % 0.45/0.67 (step @p147 :rule nary_cong :premises (@p146 @p104) :args ((or (not @t195) @t192))) % 0.45/0.67 (step @p148 :rule trans :premises (@p147 @p103)) % 0.45/0.67 (step @p149 :rule bool-impl-elim :args (@t195 @t192)) % 0.45/0.67 (step @p150 :rule trans :premises (@p149 @p148)) % 0.45/0.67 (step @p151 :rule cong :premises (@p150) :args ((forall @t73 (=> @t195 @t192)))) % 0.45/0.67 (step @p152 :rule trans :premises (@p151 @p102)) % 0.45/0.67 (step @p153 :rule refl :args (@t3)) % 0.45/0.67 (step @p154 :rule refl :args (@t100)) % 0.45/0.67 (step @p155 :rule refl :args (@t8)) % 0.45/0.67 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t8 @t100))) % 0.45/0.67 (step @p157 :rule symm :premises (@p156)) % 0.45/0.67 (step @p158 :rule eq_resolve :premises (@p155 @p157)) % 0.45/0.67 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0.45/0.67 (step @p543 :rule reordering :premises (@p542) :args ((or @t240 @t256))) % 0.45/0.67 (step @p544 :rule chain_m_resolution :premises (@p543 @p448) :args (@t240 @t257 @t258)) % 0.45/0.67 (step @p545 :rule instantiate :premises (@p544) :args ((@list @t263))) % 0.45/0.67 (step @p546 :rule instantiate :premises (@p521) :args ((@list @t228 @t227))) % 0.45/0.67 (step @p547 :rule trans :premises (@p531 @p529)) % 0.45/0.67 (step @p548 :rule cong :premises (@p525 @p547) :args (@t265)) % 0.45/0.67 (step @p549 :rule trans :premises (@p548 @p546 @p545 @p538 @p534 @p532 @p531 @p529)) % 0.45/0.67 (step @p550 :rule cong :premises (@p549 @p527) :args (@t266)) % 0.45/0.67 (step @p551 :rule trans :premises (@p550 @p507 @p500 @p490 @p482 @p474 @p466)) % 0.45/0.67 (step @p552 :rule instantiate :premises (@p464) :args ((@list @t227 @t235))) % 0.45/0.67 (step @p553 :rule symm :premises (@p552)) % 0.45/0.67 (step @p554 :rule trans :premises (@p553 @p524)) % 0.45/0.67 (step @p555 :rule cong :premises (@p525 @p554) :args (@t267)) % 0.45/0.67 (step @p556 :rule trans :premises (@p555 @p523 @p515)) % 0.45/0.67 (step @p557 :rule cong :premises (@p556 @p551) :args (@t268)) % 0.45/0.67 (step @p558 :rule trans :premises (@p557 @p458)) % 0.45/0.67 (step @p559 :rule false_elim :premises (@p558)) % 0.45/0.67 (assume-push @p566 @t226) % 0.45/0.67 (step @p561 :rule instantiate :premises (@p455) :args ((@list @t228 @t264 @t235))) % 0.45/0.67 (step-pop @p567 :rule scope :premises (@p561)) % 0.45/0.67 (step @p562 :rule process_scope :premises (@p567) :args (@t268)) % 0.45/0.67 (step @p564 :rule implies_elim :premises (@p562)) % 0.45/0.67 (step @p565 false :rule chain_m_resolution :premises (@p564 @p559 @p455) :args (false (@list true false) (@list @t268 @t226))) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------