%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV046^5 : 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 : n025.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 08:55:22 AM UTC 2026 % Result : Theorem 0.51s 0.71s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV046^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n025.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:10:16 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.51/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.71 % SZS status Theorem % 0.51/0.71 % SZS output start Proof % 0.51/0.71 ( % 0.51/0.71 (declare-sort tptp.a 0) % 0.51/0.71 (declare-sort tptp.b 0) % 0.51/0.71 (define @t1 () (@var "Xy0" tptp.a)) % 0.51/0.71 (define @t2 () (@var "Xz" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t3 () (_ @t2 @t1)) % 0.51/0.71 (define @t4 () (@var "Xx0" tptp.a)) % 0.51/0.71 (define @t5 () (@var "Xx" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t6 () (_ @t5 @t4)) % 0.51/0.71 (define @t7 () (@var "Xp2" (-> tptp.a tptp.b tptp.b Bool))) % 0.51/0.71 (define @t8 () (_ @t7 @t4)) % 0.51/0.71 (define @t9 () (_ @t8 @t6)) % 0.51/0.71 (define @t10 () (_ @t9 @t3)) % 0.51/0.71 (define @t11 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 0.51/0.71 (define @t12 () (_ (_ @t11 @t4) @t1)) % 0.51/0.71 (define @t13 () (@list @t4 @t1)) % 0.51/0.71 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.51/0.71 (define @t15 () (@var "Xy" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t16 () (_ @t15 @t4)) % 0.51/0.71 (define @t17 () (_ @t8 @t16)) % 0.51/0.71 (define @t18 () (_ @t17 @t3)) % 0.51/0.71 (define @t19 () (forall @t13 (=> @t12 @t18))) % 0.51/0.71 (define @t20 () (_ @t15 @t1)) % 0.51/0.71 (define @t21 () (_ @t9 @t20)) % 0.51/0.71 (define @t22 () (forall @t13 (=> @t12 @t21))) % 0.51/0.71 (define @t23 () (and @t22 @t19)) % 0.51/0.71 (define @t24 () (=> @t23 @t14)) % 0.51/0.71 (define @t25 () (@list @t5 @t15 @t2)) % 0.51/0.71 (define @t26 () (forall @t25 @t24)) % 0.51/0.71 (define @t27 () (_ @t5 @t1)) % 0.51/0.71 (define @t28 () (_ @t17 @t27)) % 0.51/0.71 (define @t29 () (forall @t13 (=> @t12 @t28))) % 0.51/0.71 (define @t30 () (=> @t22 @t29)) % 0.51/0.71 (define @t31 () (@list @t5 @t15)) % 0.51/0.71 (define @t32 () (forall @t31 @t30)) % 0.51/0.71 (define @t33 () (and @t32 @t26)) % 0.51/0.71 (define @t34 () (@var "Xy" tptp.a)) % 0.51/0.71 (define @t35 () (@var "Xx" tptp.a)) % 0.51/0.71 (define @t36 () (_ @t7 @t35)) % 0.51/0.71 (define @t37 () (= @t36 (_ @t7 @t34))) % 0.51/0.71 (define @t38 () (_ @t11 @t35)) % 0.51/0.71 (define @t39 () (_ @t38 @t34)) % 0.51/0.71 (define @t40 () (@list @t35 @t34)) % 0.51/0.71 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.51/0.71 (define @t42 () (@var "Xz" tptp.b)) % 0.51/0.71 (define @t43 () (@var "Xx0" tptp.b)) % 0.51/0.71 (define @t44 () (_ @t36 @t43)) % 0.51/0.71 (define @t45 () (_ @t44 @t42)) % 0.51/0.71 (define @t46 () (@var "Xy" tptp.b)) % 0.51/0.71 (define @t47 () (_ @t36 @t46)) % 0.51/0.71 (define @t48 () (_ @t47 @t42)) % 0.51/0.71 (define @t49 () (_ @t44 @t46)) % 0.51/0.71 (define @t50 () (and @t49 @t48)) % 0.51/0.71 (define @t51 () (@list @t43 @t46 @t42)) % 0.51/0.71 (define @t52 () (forall @t51 (=> @t50 @t45))) % 0.51/0.71 (define @t53 () (_ @t47 @t43)) % 0.51/0.71 (define @t54 () (@list @t43 @t46)) % 0.51/0.71 (define @t55 () (forall @t54 (=> @t49 @t53))) % 0.51/0.71 (define @t56 () (and @t55 @t52)) % 0.51/0.71 (define @t57 () (_ @t38 @t35)) % 0.51/0.71 (define @t58 () (=> @t57 @t56)) % 0.51/0.71 (define @t59 () (@list @t35)) % 0.51/0.71 (define @t60 () (forall @t59 @t58)) % 0.51/0.71 (define @t61 () (@var "Xz" tptp.a)) % 0.51/0.71 (define @t62 () (_ @t38 @t61)) % 0.51/0.71 (define @t63 () (_ @t11 @t34)) % 0.51/0.71 (define @t64 () (_ @t63 @t61)) % 0.51/0.71 (define @t65 () (and @t39 @t64)) % 0.51/0.71 (define @t66 () (@list @t35 @t34 @t61)) % 0.51/0.71 (define @t67 () (forall @t66 (=> @t65 @t62))) % 0.51/0.71 (define @t68 () (_ @t63 @t35)) % 0.51/0.71 (define @t69 () (forall @t40 (=> @t39 @t68))) % 0.51/0.71 (define @t70 () (and @t69 @t67 @t60 @t41)) % 0.51/0.71 (define @t71 () (=> @t70 @t33)) % 0.51/0.71 (define @t72 () (@list @t11 @t7)) % 0.51/0.71 (define @t73 () (forall @t72 @t71)) % 0.51/0.71 (define @t74 () (not @t73)) % 0.51/0.71 (define @t75 () (@var "BOUND_VARIABLE_7690" tptp.a)) % 0.51/0.71 (define @t76 () (@var "BOUND_VARIABLE_7686" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t77 () (@var "BOUND_VARIABLE_7688" tptp.a)) % 0.51/0.71 (define @t78 () (@var "BOUND_VARIABLE_7682" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t79 () (@var "BOUND_VARIABLE_7684" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t80 () (_ @t11 @t4 @t1)) % 0.51/0.71 (define @t81 () (not @t80)) % 0.51/0.71 (define @t82 () (or (not (forall @t13 (or @t81 (_ @t7 @t4 (_ @t78 @t4) (_ @t79 @t1))))) (not (forall @t13 (or @t81 (_ @t7 @t4 (_ @t79 @t4) (_ @t76 @t1))))) (not (_ @t11 @t77 @t75)) (_ @t7 @t77 (_ @t78 @t77) (_ @t76 @t75)))) % 0.51/0.71 (define @t83 () (@var "BOUND_VARIABLE_7668" tptp.a)) % 0.51/0.71 (define @t84 () (@var "BOUND_VARIABLE_7662" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t85 () (@var "BOUND_VARIABLE_7666" tptp.a)) % 0.51/0.71 (define @t86 () (@var "BOUND_VARIABLE_7664" (-> tptp.a tptp.b))) % 0.51/0.71 (define @t87 () (or (not (forall @t13 (or @t81 (_ @t7 @t4 (_ @t84 @t4) (_ @t86 @t1))))) (not (_ @t11 @t85 @t83)) (_ @t7 @t85 (_ @t86 @t85) (_ @t84 @t83)))) % 0.51/0.71 (define @t88 () (and @t87 @t82)) % 0.51/0.71 (define @t89 () (_ @t11 @t35 @t34)) % 0.51/0.71 (define @t90 () (not @t89)) % 0.51/0.71 (define @t91 () (forall @t40 (or @t90 @t37))) % 0.51/0.71 (define @t92 () (not @t91)) % 0.51/0.71 (define @t93 () (@var "BOUND_VARIABLE_7557" tptp.b)) % 0.51/0.71 (define @t94 () (@var "BOUND_VARIABLE_7553" tptp.b)) % 0.51/0.71 (define @t95 () (@var "BOUND_VARIABLE_7555" tptp.b)) % 0.51/0.71 (define @t96 () (or (not (_ @t7 @t35 @t94 @t95)) (not (_ @t7 @t35 @t95 @t93)) (_ @t7 @t35 @t94 @t93))) % 0.51/0.71 (define @t97 () (@var "BOUND_VARIABLE_7545" tptp.b)) % 0.51/0.71 (define @t98 () (@var "BOUND_VARIABLE_7547" tptp.b)) % 0.51/0.71 (define @t99 () (or (not (_ @t7 @t35 @t97 @t98)) (_ @t7 @t35 @t98 @t97))) % 0.51/0.71 (define @t100 () (and @t99 @t96)) % 0.51/0.71 (define @t101 () (_ @t11 @t35 @t35)) % 0.51/0.71 (define @t102 () (not @t101)) % 0.51/0.71 (define @t103 () (or @t102 @t100)) % 0.51/0.71 (define @t104 () (@list @t35 @t97 @t98 @t94 @t95 @t93)) % 0.51/0.71 (define @t105 () (forall @t104 @t103)) % 0.51/0.71 (define @t106 () (not @t105)) % 0.51/0.71 (define @t107 () (_ @t11 @t35 @t61)) % 0.51/0.71 (define @t108 () (_ @t11 @t34 @t61)) % 0.51/0.71 (define @t109 () (forall @t66 (or @t90 (not @t108) @t107))) % 0.51/0.71 (define @t110 () (not @t109)) % 0.51/0.71 (define @t111 () (_ @t11 @t34 @t35)) % 0.51/0.71 (define @t112 () (forall @t40 (or @t90 @t111))) % 0.51/0.71 (define @t113 () (not @t112)) % 0.51/0.71 (define @t114 () (or @t113 @t110 @t106 @t92 @t88)) % 0.51/0.71 (define @t115 () (forall (@list @t11 @t7 @t84 @t86 @t85 @t83 @t78 @t79 @t76 @t77 @t75) @t114)) % 0.51/0.71 (define @t116 () (@quantifiers_skolemize @t115 7)) % 0.51/0.71 (define @t117 () (@quantifiers_skolemize @t115 6)) % 0.51/0.71 (define @t118 () (@quantifiers_skolemize @t115 1)) % 0.51/0.71 (define @t119 () (@quantifiers_skolemize @t115 0)) % 0.51/0.71 (define @t120 () (not (_ @t119 @t4 @t1))) % 0.51/0.71 (define @t121 () (forall @t13 (or @t120 (_ @t118 @t4 (_ @t117 @t4) (_ @t116 @t1))))) % 0.51/0.71 (define @t122 () (@quantifiers_skolemize @t115 10)) % 0.51/0.71 (define @t123 () (@quantifiers_skolemize @t115 8)) % 0.51/0.71 (define @t124 () (_ @t123 @t122)) % 0.51/0.71 (define @t125 () (@quantifiers_skolemize @t115 9)) % 0.51/0.71 (define @t126 () (_ @t117 @t125)) % 0.51/0.71 (define @t127 () (_ @t118 @t125 @t126 @t124)) % 0.51/0.71 (define @t128 () (_ @t119 @t125 @t122)) % 0.51/0.71 (define @t129 () (not @t128)) % 0.51/0.71 (define @t130 () (forall @t13 (or @t120 (_ @t118 @t4 (_ @t116 @t4) (_ @t123 @t1))))) % 0.51/0.71 (define @t131 () (not @t130)) % 0.51/0.71 (define @t132 () (not @t121)) % 0.51/0.71 (define @t133 () (or @t132 @t131 @t129 @t127)) % 0.51/0.71 (define @t134 () (_ @t116 @t125)) % 0.51/0.71 (define @t135 () (_ @t118 @t125 @t126 @t134)) % 0.51/0.71 (define @t136 () (_ @t119 @t125 @t125)) % 0.51/0.71 (define @t137 () (not @t136)) % 0.51/0.71 (define @t138 () (or @t137 @t135)) % 0.51/0.71 (define @t139 () (@list @t125 @t122)) % 0.51/0.71 (define @t140 () (_ @t118 @t125 @t134 @t124)) % 0.51/0.71 (define @t141 () (or @t129 @t140)) % 0.51/0.71 (define @t142 () (@list @t84 @t86 @t85 @t83 @t78 @t79 @t76 @t77 @t75)) % 0.51/0.71 (define @t143 () (forall @t142 @t114)) % 0.51/0.71 (define @t144 () (forall (@list @t78 @t79 @t76 @t77 @t75) @t82)) % 0.51/0.71 (define @t145 () (@var "BOUND_VARIABLE_7638" tptp.a)) % 0.51/0.71 (define @t146 () (@var "BOUND_VARIABLE_7636" tptp.a)) % 0.51/0.71 (define @t147 () (forall @t142 @t82)) % 0.51/0.71 (define @t148 () (forall (@list @t84 @t86 @t85 @t83) @t87)) % 0.51/0.71 (define @t149 () (@var "BOUND_VARIABLE_7602" tptp.a)) % 0.51/0.71 (define @t150 () (@var "BOUND_VARIABLE_7600" tptp.a)) % 0.51/0.71 (define @t151 () (forall @t142 @t87)) % 0.51/0.71 (define @t152 () (and @t151 @t147)) % 0.51/0.71 (define @t153 () (forall @t142 @t88)) % 0.51/0.71 (define @t154 () (or @t113 @t110 @t106 @t92 @t153)) % 0.51/0.71 (define @t155 () (_ @t7 @t146 (_ @t5 @t146) (_ @t2 @t145))) % 0.51/0.71 (define @t156 () (not (_ @t11 @t146 @t145))) % 0.51/0.71 (define @t157 () (_ @t2 @t1)) % 0.51/0.71 (define @t158 () (_ @t15 @t4)) % 0.51/0.71 (define @t159 () (_ @t7 @t4 @t158 @t157)) % 0.51/0.71 (define @t160 () (forall @t13 (or @t81 @t159))) % 0.51/0.71 (define @t161 () (not @t160)) % 0.51/0.71 (define @t162 () (_ @t15 @t1)) % 0.51/0.71 (define @t163 () (_ @t5 @t4)) % 0.51/0.71 (define @t164 () (_ @t7 @t4 @t163 @t162)) % 0.51/0.71 (define @t165 () (forall @t13 (or @t81 @t164))) % 0.51/0.71 (define @t166 () (not @t165)) % 0.51/0.71 (define @t167 () (or @t166 @t161 @t156 @t155)) % 0.51/0.71 (define @t168 () (@list @t5 @t15 @t2 @t146 @t145)) % 0.51/0.71 (define @t169 () (_ @t7 @t150 (_ @t15 @t150) (_ @t5 @t149))) % 0.51/0.71 (define @t170 () (not (_ @t11 @t150 @t149))) % 0.51/0.71 (define @t171 () (or @t166 @t170 @t169)) % 0.51/0.71 (define @t172 () (@list @t5 @t15 @t150 @t149)) % 0.51/0.71 (define @t173 () (and (forall @t172 @t171) (forall @t168 @t167))) % 0.51/0.71 (define @t174 () (or @t113 @t110 @t106 @t92 @t173)) % 0.51/0.71 (define @t175 () (or @t113 @t110 @t106 @t92)) % 0.51/0.71 (define @t176 () (and @t112 @t109 @t105 @t91)) % 0.51/0.71 (define @t177 () (or @t156 @t155)) % 0.51/0.71 (define @t178 () (or @t166 @t161 @t177)) % 0.51/0.71 (define @t179 () (forall @t168 @t178)) % 0.51/0.71 (define @t180 () (@list @t146 @t145)) % 0.51/0.71 (define @t181 () (forall @t180 @t178)) % 0.51/0.71 (define @t182 () (forall @t180 @t177)) % 0.51/0.71 (define @t183 () (@list @t4 @t1)) % 0.51/0.71 (define @t184 () (or @t166 @t161 @t182)) % 0.51/0.71 (define @t185 () (_ @t7 @t4 @t163 @t157)) % 0.51/0.71 (define @t186 () (forall @t13 (or @t81 @t185))) % 0.51/0.71 (define @t187 () (or @t166 @t161 @t186)) % 0.51/0.71 (define @t188 () (and @t165 @t160)) % 0.51/0.71 (define @t189 () (_ @t8 @t163)) % 0.51/0.71 (define @t190 () (not @t12)) % 0.51/0.71 (define @t191 () (or @t190 @t10)) % 0.51/0.71 (define @t192 () (_ @t8 @t158)) % 0.51/0.71 (define @t193 () (or @t190 @t18)) % 0.51/0.71 (define @t194 () (or @t190 @t21)) % 0.51/0.71 (define @t195 () (or @t170 @t169)) % 0.51/0.71 (define @t196 () (or @t166 @t195)) % 0.51/0.71 (define @t197 () (forall @t172 @t196)) % 0.51/0.71 (define @t198 () (@list @t150 @t149)) % 0.51/0.71 (define @t199 () (forall @t198 @t196)) % 0.51/0.71 (define @t200 () (forall @t198 @t195)) % 0.51/0.71 (define @t201 () (or @t166 @t200)) % 0.51/0.71 (define @t202 () (_ @t5 @t1)) % 0.51/0.71 (define @t203 () (_ @t7 @t4 @t158 @t202)) % 0.51/0.71 (define @t204 () (forall @t13 (or @t81 @t203))) % 0.51/0.71 (define @t205 () (or @t190 @t28)) % 0.51/0.71 (define @t206 () (not @t39)) % 0.51/0.71 (define @t207 () (or @t206 @t37)) % 0.51/0.71 (define @t208 () (@list @t97 @t98 @t94 @t95 @t93)) % 0.51/0.71 (define @t209 () (forall @t208 @t103)) % 0.51/0.71 (define @t210 () (forall (@list @t94 @t95 @t93) @t96)) % 0.51/0.71 (define @t211 () (forall @t208 @t96)) % 0.51/0.71 (define @t212 () (forall (@list @t97 @t98) @t99)) % 0.51/0.71 (define @t213 () (forall @t208 @t99)) % 0.51/0.71 (define @t214 () (and @t213 @t211)) % 0.51/0.71 (define @t215 () (forall @t208 @t100)) % 0.51/0.71 (define @t216 () (or @t102 @t215)) % 0.51/0.71 (define @t217 () (_ @t7 @t35 @t43 @t42)) % 0.51/0.71 (define @t218 () (_ @t7 @t35 @t46 @t42)) % 0.51/0.71 (define @t219 () (_ @t7 @t35 @t43 @t46)) % 0.51/0.71 (define @t220 () (not @t219)) % 0.51/0.71 (define @t221 () (_ @t7 @t35 @t46 @t43)) % 0.51/0.71 (define @t222 () (and (forall @t54 (or @t220 @t221)) (forall @t51 (or @t220 (not @t218) @t217)))) % 0.51/0.71 (define @t223 () (not @t57)) % 0.51/0.71 (define @t224 () (or @t223 @t222)) % 0.51/0.71 (define @t225 () (not @t48)) % 0.51/0.71 (define @t226 () (not @t49)) % 0.51/0.71 (define @t227 () (or @t226 @t225 @t45)) % 0.51/0.71 (define @t228 () (or @t226 @t53)) % 0.51/0.71 (define @t229 () (not @t64)) % 0.51/0.71 (define @t230 () (or @t206 @t229 @t62)) % 0.51/0.71 (define @t231 () (or @t206 @t68)) % 0.51/0.71 (define @t232 () (not (_ @t119 @t35 @t34))) % 0.51/0.71 (define @t233 () (forall @t40 (or @t232 (_ @t119 @t34 @t35)))) % 0.51/0.71 (define @t234 () (@quantifiers_skolemize @t115 5)) % 0.51/0.71 (define @t235 () (@quantifiers_skolemize @t115 2)) % 0.51/0.71 (define @t236 () (_ @t235 @t234)) % 0.51/0.71 (define @t237 () (@quantifiers_skolemize @t115 4)) % 0.51/0.71 (define @t238 () (@quantifiers_skolemize @t115 3)) % 0.51/0.71 (define @t239 () (_ @t238 @t237)) % 0.51/0.71 (define @t240 () (_ @t118 @t237 @t239 @t236)) % 0.51/0.71 (define @t241 () (_ @t119 @t237 @t234)) % 0.51/0.71 (define @t242 () (not @t241)) % 0.51/0.71 (define @t243 () (forall @t13 (or @t120 (_ @t118 @t4 (_ @t235 @t4) (_ @t238 @t1))))) % 0.51/0.71 (define @t244 () (not @t243)) % 0.51/0.71 (define @t245 () (or @t244 @t242 @t240)) % 0.51/0.71 (define @t246 () (and @t245 @t133)) % 0.51/0.71 (define @t247 () (forall @t40 (or @t232 (= (_ @t118 @t35) (_ @t118 @t34))))) % 0.51/0.71 (define @t248 () (not @t247)) % 0.51/0.71 (define @t249 () (forall @t104 (or (not (_ @t119 @t35 @t35)) (and (or (not (_ @t118 @t35 @t97 @t98)) (_ @t118 @t35 @t98 @t97)) (or (not (_ @t118 @t35 @t94 @t95)) (not (_ @t118 @t35 @t95 @t93)) (_ @t118 @t35 @t94 @t93)))))) % 0.51/0.71 (define @t250 () (not @t249)) % 0.51/0.71 (define @t251 () (forall @t66 (or @t232 (not (_ @t119 @t34 @t61)) (_ @t119 @t35 @t61)))) % 0.51/0.71 (define @t252 () (not @t251)) % 0.51/0.71 (define @t253 () (not @t233)) % 0.51/0.71 (define @t254 () (or @t253 @t252 @t250 @t248 @t246)) % 0.51/0.71 (define @t255 () (@list true)) % 0.51/0.71 (define @t256 () (@list @t254)) % 0.51/0.71 (define @t257 () (_ @t119 @t122 @t125)) % 0.51/0.71 (define @t258 () (or @t129 @t257)) % 0.51/0.71 (define @t259 () (not @t257)) % 0.51/0.71 (define @t260 () (or @t129 @t259 @t136)) % 0.51/0.71 (define @t261 () (not @t140)) % 0.51/0.71 (define @t262 () (not @t135)) % 0.51/0.71 (define @t263 () (or @t262 @t261 @t127)) % 0.51/0.71 (define @t264 () (_ @t118 @t125 @t236 @t236)) % 0.51/0.71 (define @t265 () (and (or (not @t264) @t264) @t263)) % 0.51/0.71 (define @t266 () (or @t137 @t265)) % 0.51/0.71 (define @t267 () (@list @t245)) % 0.51/0.71 (define @t268 () (@list @t237 @t234)) % 0.51/0.71 (define @t269 () (_ @t119 @t234 @t237)) % 0.51/0.71 (define @t270 () (or @t242 @t269)) % 0.51/0.71 (define @t271 () (@list false false)) % 0.51/0.71 (define @t272 () (_ @t119 @t237 @t237)) % 0.51/0.71 (define @t273 () (not @t269)) % 0.51/0.71 (define @t274 () (or @t242 @t273 @t272)) % 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(@p402 @p398)) % 0.51/0.71 (step @p404 :rule ho_cong :premises (@p403 @p397)) % 0.51/0.71 (step @p405 :rule cong :premises (@p404 @p401) :args ((= @t291 @t289))) % 0.51/0.71 (step @p406 :rule symm :premises (@p405)) % 0.51/0.71 (step @p407 :rule refl :args ((_ @t292 @t287))) % 0.51/0.71 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.51/0.71 (step @p409 :rule cong :premises (@p408 @p395) :args (@t293)) % 0.51/0.71 (step @p410 :rule refl :args (@t294)) % 0.51/0.71 (step @p411 :rule nary_cong :premises (@p410 @p409) :args (@t295)) % 0.51/0.71 (step @p412 :rule eq-symm :args (@t286 @t291)) % 0.51/0.71 (step @p413 :rule eq-symm :args (@t285 @t284)) % 0.51/0.71 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((and (= @t285 @t284) (= @t286 @t291)))) % 0.51/0.71 (step @p415 :rule trans :premises (@p414 @p411)) % 0.51/0.71 (step @p416 :rule evaluate :args ((and true true))) % 0.51/0.71 (step @p417 :rule eq-refl :args (@t291)) % 0.51/0.71 (step @p418 :rule refl :args ((_ @t284 @t288 @t287))) % 0.51/0.71 (step @p419 :rule cong :premises (@p398 @p397) :args (@t296)) % 0.51/0.71 (step @p420 :rule trans :premises (@p419 @p418)) % 0.51/0.71 (step @p421 :rule cong :premises (@p420 @p404) :args ((= @t296 @t291))) % 0.51/0.71 (step @p422 :rule symm :premises (@p421)) % 0.51/0.71 (step @p423 :rule eq_resolve :premises (@p407 @p422)) % 0.51/0.71 (step @p424 :rule refl :args (@t291)) % 0.51/0.71 (step @p425 :rule cong :premises (@p424 @p423) :args (@t297)) % 0.51/0.71 (step @p426 :rule trans :premises (@p425 @p417)) % 0.51/0.71 (step @p427 :rule eq-refl :args (@t284)) % 0.51/0.71 (step @p428 :rule nary_cong :premises (@p427 @p426) :args ((and (= @t284 @t284) @t297))) % 0.51/0.71 (step @p429 :rule trans :premises (@p428 @p416)) % 0.51/0.71 (step @p430 :rule refl :args (@t239)) % 0.51/0.71 (step @p431 :rule refl :args (@t236)) % 0.51/0.71 (step @p432 :rule skolem_intro :args (@t285)) % 0.51/0.71 (step @p433 :rule ho_cong :premises (@p432 @p431 @p430)) % 0.51/0.71 (step @p434 :rule cong :premises (@p424 @p433) :args (@t293)) % 0.51/0.71 (step @p435 :rule refl :args (@t284)) % 0.51/0.71 (step @p436 :rule cong :premises (@p435 @p432) :args (@t294)) % 0.51/0.71 (step @p437 :rule nary_cong :premises (@p436 @p434) :args (@t295)) % 0.51/0.71 (step @p438 :rule trans :premises (@p414 @p437 @p429)) % 0.51/0.71 (step @p439 :rule true_elim :premises (@p438)) % 0.51/0.71 (step @p440 :rule eq_resolve :premises (@p439 @p415)) % 0.51/0.71 (step @p441 :rule and_elim :premises (@p440) :args (0)) % 0.51/0.71 (step @p442 :rule bool-double-not-elim :args (@t243)) % 0.51/0.71 (step @p443 :rule nary_cong :premises (@p377 @p442) :args ((or @t245 (not @t244)))) % 0.51/0.71 (step @p444 :rule cnf_or_neg :args (@t245 0)) % 0.51/0.71 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.51/0.71 (step @p446 :rule reordering :premises (@p445) :args ((or @t243 @t245))) % 0.51/0.71 (step @p447 :rule chain_m_resolution :premises (@p446 @p370) :args (@t243 @t255 @t267)) % 0.51/0.71 (assume-push @p555 @t243) % 0.51/0.71 (step @p449 :rule instantiate :premises (@p555) :args ((@list @t234 @t237))) % 0.51/0.71 (step-pop @p556 :rule scope :premises (@p449)) % 0.51/0.71 (step @p450 :rule process_scope :premises (@p556) :args (@t298)) % 0.51/0.71 (step @p452 :rule implies_elim :premises (@p450)) % 0.51/0.71 (step @p453 :rule chain_m_resolution :premises (@p452 @p447) :args (@t298 @t283 (@list @t243))) % 0.51/0.71 (step @p454 :rule cnf_or_pos :args (@t298)) % 0.51/0.71 (step @p455 :rule reordering :premises (@p454) :args ((or @t273 @t289 (not @t298)))) % 0.51/0.71 (step @p456 :rule chain_m_resolution :premises (@p455 @p385 @p453) :args (@t289 @t271 (@list @t269 @t298))) % 0.51/0.71 (step @p457 :rule refl :args (@t300)) % 0.51/0.71 (step @p458 :rule cong :premises (@p408 @p457) :args (@t301)) % 0.51/0.71 (step @p459 :rule refl :args (@t302)) % 0.51/0.71 (step @p460 :rule nary_cong :premises (@p459 @p458) :args (@t303)) % 0.51/0.71 (step @p461 :rule eq-symm :args (@t300 @t291)) % 0.51/0.71 (step @p462 :rule eq-symm :args (@t299 @t290)) % 0.51/0.71 (step @p463 :rule nary_cong :premises (@p462 @p461) :args ((and (= @t299 @t290) (= @t300 @t291)))) % 0.51/0.71 (step @p464 :rule trans :premises (@p463 @p460)) % 0.51/0.71 (step @p465 :rule refl :args ((_ @t292 @t287))) % 0.51/0.71 (step @p466 :rule ho_cong :premises (@p403 @p397)) % 0.51/0.71 (step @p467 :rule trans :premises (@p466 @p465)) % 0.51/0.71 (step @p468 :rule cong :premises (@p467 @p404) :args ((= @t304 @t291))) % 0.51/0.71 (step @p469 :rule symm :premises (@p468)) % 0.51/0.71 (step @p470 :rule eq_resolve :premises (@p407 @p469)) % 0.51/0.71 (step @p471 :rule cong :premises (@p424 @p470) :args (@t305)) % 0.51/0.71 (step @p472 :rule trans :premises (@p471 @p417)) % 0.51/0.71 (step @p473 :rule eq-refl :args (@t290)) % 0.51/0.71 (step @p474 :rule nary_cong :premises (@p473 @p472) :args ((and (= @t290 @t290) @t305))) % 0.51/0.71 (step @p475 :rule trans :premises (@p474 @p416)) % 0.51/0.71 (step @p476 :rule skolem_intro :args (@t299)) % 0.51/0.71 (step @p477 :rule ho_cong :premises (@p476 @p430)) % 0.51/0.71 (step @p478 :rule cong :premises (@p424 @p477) :args (@t301)) % 0.51/0.71 (step @p479 :rule refl :args (@t290)) % 0.51/0.71 (step @p480 :rule cong :premises (@p479 @p476) :args (@t302)) % 0.51/0.71 (step @p481 :rule nary_cong :premises (@p480 @p478) :args (@t303)) % 0.51/0.71 (step @p482 :rule trans :premises (@p463 @p481 @p475)) % 0.51/0.71 (step @p483 :rule true_elim :premises (@p482)) % 0.51/0.71 (step @p484 :rule eq_resolve :premises (@p483 @p464)) % 0.51/0.71 (step @p485 :rule and_elim :premises (@p484) :args (1)) % 0.51/0.71 (step @p486 :rule equiv_elim1 :premises (@p485)) % 0.51/0.71 (step @p487 :rule chain_m_resolution :premises (@p486 @p456) :args (@t300 @t283 (@list @t289))) % 0.51/0.71 (step @p488 :rule and_elim :premises (@p484) :args (0)) % 0.51/0.71 (step @p489 :rule bool-double-not-elim :args (@t247)) % 0.51/0.71 (step @p490 :rule nary_cong :premises (@p331 @p489) :args ((or @t254 (not @t248)))) % 0.51/0.71 (step @p491 :rule cnf_or_neg :args (@t254 3)) % 0.51/0.71 (step @p492 :rule eq_resolve :premises (@p491 @p490)) % 0.51/0.71 (step @p493 :rule reordering :premises (@p492) :args ((or @t247 @t254))) % 0.51/0.71 (step @p494 :rule chain_m_resolution :premises (@p493 @p329) :args (@t247 @t255 @t256)) % 0.51/0.71 (step @p495 :rule instantiate :premises (@p494) :args (@t268)) % 0.51/0.71 (step @p496 :rule cnf_or_pos :args (@t307)) % 0.51/0.71 (step @p497 :rule reordering :premises (@p496) :args ((or @t242 @t306 (not @t307)))) % 0.51/0.71 (step @p498 :rule chain_m_resolution :premises (@p497 @p382 @p495) :args (@t306 @t271 (@list @t241 @t307))) % 0.51/0.71 (step @p499 :rule bool-double-not-elim :args (@t277)) % 0.51/0.71 (step @p500 :rule refl :args (@t308)) % 0.51/0.71 (step @p501 :rule refl :args (@t309)) % 0.51/0.71 (step @p502 :rule refl :args (@t310)) % 0.51/0.71 (step @p503 :rule refl :args (@t311)) % 0.51/0.71 (step @p504 :rule nary_cong :premises (@p503 @p502 @p501 @p500 @p499) :args ((or @t311 @t310 @t309 @t308 (not @t278)))) % 0.51/0.71 (assume-push @p557 @t278) % 0.51/0.71 (assume-push @p558 @t306) % 0.51/0.71 (assume-push @p559 @t294) % 0.51/0.71 (assume-push @p560 @t300) % 0.51/0.71 (assume-push @p561 @t302) % 0.51/0.71 (step @p510 :rule evaluate :args ((= false true))) % 0.51/0.71 (step @p511 :rule true_intro :premises (@p560)) % 0.51/0.71 (step @p512 :rule refl :args (@t300)) % 0.51/0.71 (step @p513 :rule symm :premises (@p512)) % 0.51/0.71 (step @p514 :rule ho_cong :premises (@p432 @p431)) % 0.51/0.71 (step @p515 :rule trans :premises (@p558 @p441)) % 0.51/0.71 (step @p516 :rule ho_cong :premises (@p515 @p431)) % 0.51/0.71 (step @p517 :rule trans :premises (@p516 @p514 @p488)) % 0.51/0.71 (step @p518 :rule ho_cong :premises (@p517 @p430)) % 0.51/0.71 (step @p519 :rule refl :args (@t277)) % 0.51/0.71 (step @p520 :rule false_intro :premises (@p557)) % 0.51/0.71 (step @p521 :rule symm :premises (@p520)) % 0.51/0.71 (step @p522 :rule trans :premises (@p521 @p519 @p518 @p513 @p511)) % 0.51/0.71 (step @p523 false :rule eq_resolve :premises (@p522 @p510)) % 0.51/0.71 (step-pop @p562 :rule scope :premises (@p523)) % 0.51/0.71 (step-pop @p563 :rule scope :premises (@p562)) % 0.51/0.71 (step-pop @p564 :rule scope :premises (@p563)) % 0.51/0.71 (step-pop @p565 :rule scope :premises (@p564)) % 0.51/0.71 (step-pop @p566 :rule scope :premises (@p565)) % 0.51/0.71 (step @p524 :rule process_scope :premises (@p566) :args (false)) % 0.51/0.71 (assume-push @p567 @t306) % 0.51/0.71 (assume-push @p568 @t300) % 0.51/0.71 (assume-push @p569 @t302) % 0.51/0.71 (assume-push @p570 @t294) % 0.51/0.71 (assume-push @p571 @t278) % 0.51/0.71 (step @p535 :rule and_intro :premises (@p571 @p567 @p441 @p568 @p488)) % 0.51/0.71 (step-pop @p572 :rule scope :premises (@p535)) % 0.51/0.71 (step-pop @p573 :rule scope :premises (@p572)) % 0.51/0.71 (step-pop @p574 :rule scope :premises (@p573)) % 0.51/0.72 (step-pop @p575 :rule scope :premises (@p574)) % 0.51/0.72 (step-pop @p576 :rule scope :premises (@p575)) % 0.51/0.72 (step @p536 :rule process_scope :premises (@p576) :args (@t312)) % 0.51/0.72 (step @p542 :rule implies_elim :premises (@p536)) % 0.51/0.72 (step @p543 :rule resolution :premises (@p542 @p524) :args (true @t312)) % 0.51/0.72 (step @p544 :rule not_and :premises (@p543)) % 0.51/0.72 (step @p545 :rule eq_resolve :premises (@p544 @p504)) % 0.51/0.72 (step @p546 :rule reordering :premises (@p545) :args ((or @t311 @t309 @t310 @t308 @t277))) % 0.51/0.72 (step @p547 :rule chain_m_resolution :premises (@p546 @p498 @p488 @p487 @p441) :args (@t277 (@list false false false false) (@list @t306 @t302 @t300 @t294))) % 0.51/0.72 (step @p548 :rule cnf_or_pos :args (@t279)) % 0.51/0.72 (step @p549 :rule reordering :premises (@p548) :args ((or @t240 @t278 (not @t279)))) % 0.51/0.72 (step @p550 false :rule chain_m_resolution :premises (@p549 @p547 @p394 @p372) :args (false (@list false false true) (@list @t277 @t279 @t240))) % 0.51/0.72 ) % 0.51/0.72 % SZS output end Proof % 0.51/0.72 % cvc5 exiting %------------------------------------------------------------------------------