%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV149^5 : 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 : n001.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 08:55:31 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 : SEV149^5 : 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 % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:17:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----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.a 0) % 0.44/0.68 (define @t1 () (@var "Xy" tptp.a)) % 0.44/0.68 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 0.44/0.68 (define @t3 () (_ @t2 @t1)) % 0.44/0.68 (define @t4 () (@var "Xv" tptp.a)) % 0.44/0.68 (define @t5 () (_ @t2 @t4)) % 0.44/0.68 (define @t6 () (@var "Xq0" (-> tptp.a Bool))) % 0.44/0.68 (define @t7 () (_ @t6 @t4)) % 0.44/0.68 (define @t8 () (@var "Xv0" tptp.a)) % 0.44/0.68 (define @t9 () (_ @t6 @t8)) % 0.44/0.68 (define @t10 () (@var "Xu0" tptp.a)) % 0.44/0.68 (define @t11 () (@var "S" (-> tptp.a tptp.a Bool))) % 0.44/0.68 (define @t12 () (_ (_ @t11 @t10) @t8)) % 0.44/0.68 (define @t13 () (_ @t6 @t10)) % 0.44/0.68 (define @t14 () (and @t13 @t12)) % 0.44/0.68 (define @t15 () (@list @t10 @t8)) % 0.44/0.68 (define @t16 () (forall @t15 (=> @t14 @t9))) % 0.44/0.68 (define @t17 () (@var "Xw" tptp.a)) % 0.44/0.68 (define @t18 () (_ @t6 @t17)) % 0.44/0.68 (define @t19 () (@var "Xu" tptp.a)) % 0.44/0.68 (define @t20 () (_ @t11 @t19)) % 0.44/0.68 (define @t21 () (_ @t20 @t17)) % 0.44/0.68 (define @t22 () (@list @t17)) % 0.44/0.68 (define @t23 () (forall @t22 (=> @t21 @t18))) % 0.44/0.68 (define @t24 () (and @t23 @t16)) % 0.44/0.68 (define @t25 () (=> @t24 @t7)) % 0.44/0.68 (define @t26 () (@list @t6)) % 0.44/0.68 (define @t27 () (forall @t26 @t25)) % 0.44/0.68 (define @t28 () (@var "R" (-> tptp.a tptp.a Bool))) % 0.44/0.68 (define @t29 () (_ (_ @t28 @t10) @t8)) % 0.44/0.68 (define @t30 () (and @t13 @t29)) % 0.44/0.68 (define @t31 () (forall @t15 (=> @t30 @t9))) % 0.44/0.68 (define @t32 () (_ @t28 @t19)) % 0.44/0.68 (define @t33 () (_ @t32 @t17)) % 0.44/0.68 (define @t34 () (forall @t22 (=> @t33 @t18))) % 0.44/0.68 (define @t35 () (and @t34 @t31)) % 0.44/0.68 (define @t36 () (=> @t35 @t7)) % 0.44/0.68 (define @t37 () (forall @t26 @t36)) % 0.44/0.68 (define @t38 () (or @t37 @t27)) % 0.44/0.68 (define @t39 () (_ @t2 @t19)) % 0.44/0.68 (define @t40 () (and @t39 @t38)) % 0.44/0.68 (define @t41 () (=> @t40 @t5)) % 0.44/0.68 (define @t42 () (@list @t19 @t4)) % 0.44/0.68 (define @t43 () (forall @t42 @t41)) % 0.44/0.68 (define @t44 () (_ @t2 @t17)) % 0.44/0.68 (define @t45 () (_ @t20 @t4)) % 0.44/0.68 (define @t46 () (_ @t6 @t19)) % 0.44/0.68 (define @t47 () (and @t46 @t45)) % 0.44/0.68 (define @t48 () (forall @t42 (=> @t47 @t7))) % 0.44/0.68 (define @t49 () (@var "Xw0" tptp.a)) % 0.44/0.68 (define @t50 () (_ @t6 @t49)) % 0.44/0.68 (define @t51 () (@var "Xx" tptp.a)) % 0.44/0.68 (define @t52 () (_ @t11 @t51)) % 0.44/0.68 (define @t53 () (_ @t52 @t49)) % 0.44/0.68 (define @t54 () (@list @t49)) % 0.44/0.68 (define @t55 () (forall @t54 (=> @t53 @t50))) % 0.44/0.68 (define @t56 () (and @t55 @t48)) % 0.44/0.68 (define @t57 () (=> @t56 @t18)) % 0.44/0.68 (define @t58 () (forall @t26 @t57)) % 0.44/0.68 (define @t59 () (_ @t32 @t4)) % 0.44/0.68 (define @t60 () (and @t46 @t59)) % 0.44/0.68 (define @t61 () (forall @t42 (=> @t60 @t7))) % 0.44/0.68 (define @t62 () (_ @t28 @t51)) % 0.44/0.68 (define @t63 () (_ @t62 @t49)) % 0.44/0.68 (define @t64 () (forall @t54 (=> @t63 @t50))) % 0.44/0.68 (define @t65 () (and @t64 @t61)) % 0.44/0.68 (define @t66 () (=> @t65 @t18)) % 0.44/0.68 (define @t67 () (forall @t26 @t66)) % 0.44/0.68 (define @t68 () (or @t67 @t58)) % 0.44/0.68 (define @t69 () (=> @t68 @t44)) % 0.44/0.68 (define @t70 () (forall @t22 @t69)) % 0.44/0.68 (define @t71 () (and @t70 @t43)) % 0.44/0.68 (define @t72 () (=> @t71 @t3)) % 0.44/0.68 (define @t73 () (@list @t2)) % 0.44/0.68 (define @t74 () (forall @t73 @t72)) % 0.44/0.68 (define @t75 () (or @t59 @t45)) % 0.44/0.68 (define @t76 () (and @t39 @t75)) % 0.44/0.68 (define @t77 () (forall @t42 (=> @t76 @t5))) % 0.44/0.68 (define @t78 () (_ @t52 @t17)) % 0.44/0.68 (define @t79 () (_ @t62 @t17)) % 0.44/0.68 (define @t80 () (or @t79 @t78)) % 0.44/0.68 (define @t81 () (forall @t22 (=> @t80 @t44))) % 0.44/0.68 (define @t82 () (and @t81 @t77)) % 0.44/0.68 (define @t83 () (=> @t82 @t3)) % 0.44/0.68 (define @t84 () (forall @t73 @t83)) % 0.44/0.68 (define @t85 () (=> @t84 @t74)) % 0.44/0.68 (define @t86 () (@list @t28 @t11 @t51 @t1)) % 0.44/0.68 (define @t87 () (forall @t86 @t85)) % 0.44/0.68 (define @t88 () (not @t87)) % 0.44/0.68 (define @t89 () (@var "BOUND_VARIABLE_7707" (-> tptp.a Bool))) % 0.44/0.68 (define @t90 () (_ @t89 @t1)) % 0.44/0.68 (define @t91 () (_ @t6 @t4)) % 0.44/0.68 (define @t92 () (_ @t6 @t8)) % 0.44/0.68 (define @t93 () (_ @t11 @t10 @t8)) % 0.44/0.68 (define @t94 () (_ @t6 @t10)) % 0.44/0.68 (define @t95 () (not @t94)) % 0.44/0.68 (define @t96 () (forall @t15 (or @t95 (not @t93) @t92))) % 0.44/0.68 (define @t97 () (not @t96)) % 0.44/0.68 (define @t98 () (_ @t6 @t17)) % 0.44/0.68 (define @t99 () (_ @t11 @t19 @t17)) % 0.44/0.68 (define @t100 () (forall @t22 (or (not @t99) @t98))) % 0.44/0.68 (define @t101 () (not @t100)) % 0.44/0.68 (define @t102 () (forall @t26 (or @t101 @t97 @t91))) % 0.44/0.68 (define @t103 () (_ @t28 @t10 @t8)) % 0.44/0.68 (define @t104 () (forall @t15 (or @t95 (not @t103) @t92))) % 0.44/0.68 (define @t105 () (not @t104)) % 0.44/0.68 (define @t106 () (_ @t28 @t19 @t17)) % 0.44/0.68 (define @t107 () (forall @t22 (or (not @t106) @t98))) % 0.44/0.68 (define @t108 () (not @t107)) % 0.44/0.68 (define @t109 () (forall @t26 (or @t108 @t105 @t91))) % 0.44/0.68 (define @t110 () (and (not @t109) (not @t102))) % 0.44/0.68 (define @t111 () (not (forall @t42 (or (not (_ @t89 @t19)) @t110 (_ @t89 @t4))))) % 0.44/0.68 (define @t112 () (_ @t11 @t19 @t4)) % 0.44/0.68 (define @t113 () (not @t112)) % 0.44/0.68 (define @t114 () (_ @t6 @t19)) % 0.44/0.68 (define @t115 () (not @t114)) % 0.44/0.68 (define @t116 () (forall @t42 (or @t115 @t113 @t91))) % 0.44/0.68 (define @t117 () (not @t116)) % 0.44/0.68 (define @t118 () (_ @t6 @t49)) % 0.44/0.68 (define @t119 () (_ @t11 @t51 @t49)) % 0.44/0.68 (define @t120 () (forall @t54 (or (not @t119) @t118))) % 0.44/0.68 (define @t121 () (not @t120)) % 0.44/0.68 (define @t122 () (forall @t26 (or @t121 @t117 @t98))) % 0.44/0.68 (define @t123 () (_ @t28 @t19 @t4)) % 0.44/0.68 (define @t124 () (not @t123)) % 0.44/0.68 (define @t125 () (forall @t42 (or @t115 @t124 @t91))) % 0.44/0.68 (define @t126 () (not @t125)) % 0.44/0.68 (define @t127 () (_ @t28 @t51 @t49)) % 0.44/0.68 (define @t128 () (forall @t54 (or (not @t127) @t118))) % 0.44/0.68 (define @t129 () (not @t128)) % 0.44/0.68 (define @t130 () (forall @t26 (or @t129 @t126 @t98))) % 0.44/0.68 (define @t131 () (and (not @t130) (not @t122))) % 0.44/0.68 (define @t132 () (not (forall @t22 (or @t131 (_ @t89 @t17))))) % 0.44/0.68 (define @t133 () (_ @t2 @t1)) % 0.44/0.68 (define @t134 () (_ @t2 @t4)) % 0.44/0.68 (define @t135 () (_ @t2 @t19)) % 0.44/0.68 (define @t136 () (not @t135)) % 0.44/0.68 (define @t137 () (forall @t42 (or @t136 (and @t124 @t113) @t134))) % 0.44/0.68 (define @t138 () (not @t137)) % 0.44/0.68 (define @t139 () (_ @t2 @t17)) % 0.44/0.68 (define @t140 () (_ @t11 @t51 @t17)) % 0.44/0.68 (define @t141 () (_ @t28 @t51 @t17)) % 0.44/0.68 (define @t142 () (forall @t22 (or (and (not @t141) (not @t140)) @t139))) % 0.44/0.68 (define @t143 () (not @t142)) % 0.44/0.68 (define @t144 () (forall @t73 (or @t143 @t138 @t133))) % 0.44/0.68 (define @t145 () (not @t144)) % 0.44/0.68 (define @t146 () (or @t145 @t132 @t111 @t90)) % 0.44/0.68 (define @t147 () (or @t132 @t111 @t90)) % 0.44/0.68 (define @t148 () (or @t145 @t147)) % 0.44/0.68 (define @t149 () (@list @t28 @t11 @t51 @t1 @t89)) % 0.44/0.68 (define @t150 () (forall @t149 @t148)) % 0.44/0.68 (define @t151 () (@list @t89)) % 0.44/0.68 (define @t152 () (forall @t151 @t148)) % 0.44/0.68 (define @t153 () (forall @t151 @t147)) % 0.44/0.68 (define @t154 () (or @t145 @t153)) % 0.44/0.68 (define @t155 () (forall @t42 (or @t136 @t110 @t134))) % 0.44/0.68 (define @t156 () (not @t155)) % 0.44/0.68 (define @t157 () (forall @t22 (or @t131 @t139))) % 0.44/0.68 (define @t158 () (not @t157)) % 0.44/0.68 (define @t159 () (forall @t73 (or @t158 @t156 @t133))) % 0.44/0.68 (define @t160 () (or @t158 @t156 @t3)) % 0.44/0.68 (define @t161 () (and @t157 @t155)) % 0.44/0.68 (define @t162 () (not @t39)) % 0.44/0.68 (define @t163 () (or @t162 @t110 @t5)) % 0.44/0.68 (define @t164 () (or @t109 @t102)) % 0.44/0.68 (define @t165 () (and @t39 @t164)) % 0.44/0.68 (define @t166 () (or @t101 @t97 @t7)) % 0.44/0.68 (define @t167 () (and @t100 @t96)) % 0.44/0.68 (define @t168 () (not @t12)) % 0.44/0.68 (define @t169 () (not @t13)) % 0.44/0.68 (define @t170 () (or @t169 @t168 @t9)) % 0.44/0.68 (define @t171 () (not @t21)) % 0.44/0.68 (define @t172 () (or @t171 @t18)) % 0.44/0.68 (define @t173 () (or @t108 @t105 @t7)) % 0.44/0.68 (define @t174 () (and @t107 @t104)) % 0.44/0.68 (define @t175 () (not @t29)) % 0.44/0.68 (define @t176 () (or @t169 @t175 @t9)) % 0.44/0.68 (define @t177 () (not @t33)) % 0.44/0.68 (define @t178 () (or @t177 @t18)) % 0.44/0.68 (define @t179 () (or @t131 @t44)) % 0.44/0.68 (define @t180 () (or @t130 @t122)) % 0.44/0.68 (define @t181 () (or @t121 @t117 @t18)) % 0.44/0.68 (define @t182 () (and @t120 @t116)) % 0.44/0.68 (define @t183 () (not @t45)) % 0.44/0.68 (define @t184 () (not @t46)) % 0.44/0.68 (define @t185 () (or @t184 @t183 @t7)) % 0.44/0.68 (define @t186 () (not @t53)) % 0.44/0.68 (define @t187 () (or @t186 @t50)) % 0.44/0.68 (define @t188 () (or @t129 @t126 @t18)) % 0.44/0.68 (define @t189 () (and @t128 @t125)) % 0.44/0.68 (define @t190 () (not @t59)) % 0.44/0.68 (define @t191 () (or @t184 @t190 @t7)) % 0.44/0.68 (define @t192 () (not @t63)) % 0.44/0.68 (define @t193 () (or @t192 @t50)) % 0.44/0.68 (define @t194 () (or @t143 @t138 @t3)) % 0.44/0.68 (define @t195 () (and @t142 @t137)) % 0.44/0.68 (define @t196 () (and @t190 @t183)) % 0.44/0.68 (define @t197 () (or @t162 @t196 @t5)) % 0.44/0.68 (define @t198 () (not @t78)) % 0.44/0.68 (define @t199 () (not @t79)) % 0.44/0.68 (define @t200 () (and @t199 @t198)) % 0.44/0.68 (define @t201 () (or @t200 @t44)) % 0.44/0.68 (define @t202 () (forall @t149 @t146)) % 0.44/0.68 (define @t203 () (@quantifiers_skolemize @t202 4)) % 0.44/0.68 (define @t204 () (_ @t203 @t4)) % 0.44/0.68 (define @t205 () (@quantifiers_skolemize @t202 1)) % 0.44/0.68 (define @t206 () (not (_ @t205 @t10 @t8))) % 0.44/0.68 (define @t207 () (not (forall @t15 (or @t95 @t206 @t92)))) % 0.44/0.68 (define @t208 () (@quantifiers_skolemize @t202 0)) % 0.44/0.68 (define @t209 () (not (_ @t208 @t10 @t8))) % 0.44/0.68 (define @t210 () (not (forall @t15 (or @t95 @t209 @t92)))) % 0.44/0.68 (define @t211 () (not (_ @t203 @t19))) % 0.44/0.68 (define @t212 () (forall @t42 (or @t211 (and (not (forall @t26 (or (not (forall @t22 (or (not (_ @t208 @t19 @t17)) @t98))) @t210 @t91))) (not (forall @t26 (or (not (forall @t22 (or (not (_ @t205 @t19 @t17)) @t98))) @t207 @t91)))) @t204))) % 0.44/0.68 (define @t213 () (@quantifiers_skolemize @t202 3)) % 0.44/0.68 (define @t214 () (_ @t203 @t213)) % 0.44/0.68 (define @t215 () (not @t212)) % 0.44/0.68 (define @t216 () (_ @t203 @t17)) % 0.44/0.68 (define @t217 () (not (_ @t205 @t19 @t4))) % 0.44/0.68 (define @t218 () (not (forall @t42 (or @t115 @t217 @t91)))) % 0.44/0.68 (define @t219 () (@quantifiers_skolemize @t202 2)) % 0.44/0.68 (define @t220 () (not (_ @t205 @t219 @t49))) % 0.44/0.68 (define @t221 () (not (forall @t54 (or @t220 @t118)))) % 0.44/0.68 (define @t222 () (not (_ @t208 @t19 @t4))) % 0.44/0.68 (define @t223 () (not (forall @t42 (or @t115 @t222 @t91)))) % 0.44/0.68 (define @t224 () (not (_ @t208 @t219 @t49))) % 0.44/0.68 (define @t225 () (not (forall @t54 (or @t224 @t118)))) % 0.44/0.68 (define @t226 () (forall @t22 (or (and (not (forall @t26 (or @t225 @t223 @t98))) (not (forall @t26 (or @t221 @t218 @t98)))) @t216))) % 0.44/0.68 (define @t227 () (not @t226)) % 0.44/0.68 (define @t228 () (and @t222 @t217)) % 0.44/0.68 (define @t229 () (and (not (_ @t208 @t219 @t17)) (not (_ @t205 @t219 @t17)))) % 0.44/0.68 (define @t230 () (forall @t73 (or (not (forall @t22 (or @t229 @t139))) (not (forall @t42 (or @t136 @t228 @t134))) (_ @t2 @t213)))) % 0.44/0.68 (define @t231 () (not @t230)) % 0.44/0.68 (define @t232 () (or @t231 @t227 @t215 @t214)) % 0.44/0.68 (define @t233 () (@list true)) % 0.44/0.68 (define @t234 () (@list @t232)) % 0.44/0.68 (define @t235 () (forall @t42 (or @t211 @t228 @t204))) % 0.44/0.68 (define @t236 () (@quantifiers_skolemize @t235 1)) % 0.44/0.68 (define @t237 () (@quantifiers_skolemize @t235 0)) % 0.44/0.68 (define @t238 () (forall @t22 (or @t229 @t216))) % 0.44/0.68 (define @t239 () (@quantifiers_skolemize @t238 0)) % 0.44/0.68 (define @t240 () (_ @t203 @t239)) % 0.44/0.68 (define @t241 () (_ @t205 @t219 @t239)) % 0.44/0.68 (define @t242 () (not @t241)) % 0.44/0.68 (define @t243 () (_ @t208 @t219 @t239)) % 0.44/0.68 (define @t244 () (not @t243)) % 0.44/0.68 (define @t245 () (and @t244 @t242)) % 0.44/0.68 (define @t246 () (or @t245 @t240)) % 0.44/0.68 (define @t247 () (@list @t239)) % 0.44/0.68 (define @t248 () (_ @t6 @t239)) % 0.44/0.68 (define @t249 () (forall @t26 (or @t221 @t218 @t248))) % 0.44/0.68 (define @t250 () (not @t249)) % 0.44/0.68 (define @t251 () (forall @t26 (or @t225 @t223 @t248))) % 0.44/0.68 (define @t252 () (not @t251)) % 0.44/0.68 (define @t253 () (and @t252 @t250)) % 0.44/0.68 (define @t254 () (or @t253 @t240)) % 0.44/0.68 (define @t255 () (not @t253)) % 0.44/0.68 (define @t256 () (@quantifiers_skolemize @t251 0)) % 0.44/0.68 (define @t257 () (_ @t256 @t239)) % 0.44/0.68 (define @t258 () (forall @t54 (or @t224 (_ @t256 @t49)))) % 0.44/0.68 (define @t259 () (not @t258)) % 0.44/0.68 (define @t260 () (or @t259 (not (forall @t42 (or (not (_ @t256 @t19)) @t222 (_ @t256 @t4)))) @t257)) % 0.44/0.68 (define @t261 () (not @t260)) % 0.44/0.68 (define @t262 () (@quantifiers_skolemize @t249 0)) % 0.44/0.68 (define @t263 () (_ @t262 @t239)) % 0.44/0.68 (define @t264 () (forall @t54 (or @t220 (_ @t262 @t49)))) % 0.44/0.68 (define @t265 () (not @t264)) % 0.44/0.68 (define @t266 () (or @t265 (not (forall @t42 (or (not (_ @t262 @t19)) @t217 (_ @t262 @t4)))) @t263)) % 0.44/0.68 (define @t267 () (not @t266)) % 0.44/0.68 (define @t268 () (or @t244 @t257)) % 0.44/0.68 (define @t269 () (or @t242 @t263)) % 0.44/0.68 (define @t270 () (not @t246)) % 0.44/0.68 (define @t271 () (not @t238)) % 0.44/0.68 (define @t272 () (@list false)) % 0.44/0.68 (define @t273 () (not @t235)) % 0.44/0.68 (define @t274 () (or @t271 @t273 @t214)) % 0.44/0.68 (define @t275 () (_ @t203 @t236)) % 0.44/0.68 (define @t276 () (_ @t205 @t237 @t236)) % 0.44/0.68 (define @t277 () (not @t276)) % 0.44/0.68 (define @t278 () (_ @t208 @t237 @t236)) % 0.44/0.68 (define @t279 () (not @t278)) % 0.44/0.68 (define @t280 () (and @t279 @t277)) % 0.44/0.68 (define @t281 () (_ @t203 @t237)) % 0.44/0.68 (define @t282 () (not @t281)) % 0.44/0.68 (define @t283 () (or @t282 @t280 @t275)) % 0.44/0.68 (define @t284 () (not @t283)) % 0.44/0.68 (define @t285 () (@list @t283)) % 0.44/0.68 (define @t286 () (_ @t6 @t236)) % 0.44/0.68 (define @t287 () (not (_ @t205 @t237 @t17))) % 0.44/0.68 (define @t288 () (forall @t26 (or (not (forall @t22 (or @t287 @t98))) @t207 @t286))) % 0.44/0.68 (define @t289 () (not @t288)) % 0.44/0.68 (define @t290 () (not (_ @t208 @t237 @t17))) % 0.44/0.68 (define @t291 () (forall @t26 (or (not (forall @t22 (or @t290 @t98))) @t210 @t286))) % 0.44/0.68 (define @t292 () 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@p371 @p370) :args (@t246 (@list true false true false true false true false true true true true false false true true) (@list @t269 @t241 @t243 @t268 @t263 @t264 @t257 @t258 @t266 @t260 @t249 @t251 @t253 @t254 @t240 @t245))) % 0.44/0.68 (step @p439 :rule refl :args (@t270)) % 0.44/0.68 (step @p440 :rule bool-double-not-elim :args (@t238)) % 0.44/0.68 (step @p441 :rule nary_cong :premises (@p440 @p439) :args ((or (not @t271) @t270))) % 0.44/0.68 (assume-push @p556 @t271) % 0.44/0.68 (step @p443 :rule skolemize :premises (@p556)) % 0.44/0.68 (step-pop @p557 :rule scope :premises (@p443)) % 0.44/0.68 (step @p444 :rule process_scope :premises (@p557) :args (@t270)) % 0.44/0.68 (step @p446 :rule implies_elim :premises (@p444)) % 0.44/0.68 (step @p447 :rule eq_resolve :premises (@p446 @p441)) % 0.44/0.68 (step @p448 :rule chain_m_resolution :premises (@p447 @p438) :args (@t238 @t272 (@list @t246))) % 0.44/0.68 (step @p449 :rule cnf_or_neg :args (@t232 3)) % 0.44/0.68 (step @p450 :rule chain_m_resolution :premises (@p449 @p354) :args ((not @t214) @t233 @t234)) % 0.44/0.68 (step @p451 :rule cnf_or_pos :args (@t274)) % 0.44/0.68 (step @p452 :rule reordering :premises (@p451) :args ((or @t214 @t271 @t273 (not @t274)))) % 0.44/0.68 (step @p453 :rule chain_m_resolution :premises (@p452 @p450 @p448 @p369) :args (@t273 (@list true false false) (@list @t214 @t238 @t274))) % 0.44/0.68 (step @p454 :rule refl :args (@t284)) % 0.44/0.68 (step @p455 :rule bool-double-not-elim :args (@t235)) % 0.44/0.68 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or (not @t273) @t284))) % 0.44/0.68 (assume-push @p558 @t273) % 0.44/0.68 (step @p458 :rule skolemize :premises (@p558)) % 0.44/0.68 (step-pop @p559 :rule scope :premises (@p458)) % 0.44/0.68 (step @p459 :rule process_scope :premises (@p559) :args (@t284)) % 0.44/0.68 (step @p461 :rule implies_elim :premises (@p459)) % 0.44/0.68 (step @p462 :rule eq_resolve :premises (@p461 @p456)) % 0.44/0.68 (step @p463 :rule chain_m_resolution :premises (@p462 @p453) :args (@t284 @t233 (@list @t235))) % 0.44/0.68 (step @p464 :rule cnf_or_neg :args (@t283 2)) % 0.44/0.68 (step @p465 :rule chain_m_resolution :premises (@p464 @p463) :args ((not @t275) @t233 @t285)) % 0.44/0.68 (step @p466 :rule bool-double-not-elim :args (@t281)) % 0.44/0.68 (step @p467 :rule refl :args (@t283)) % 0.44/0.68 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t283 (not @t282)))) % 0.44/0.68 (step @p469 :rule cnf_or_neg :args (@t283 0)) % 0.44/0.68 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 0.44/0.68 (step @p471 :rule reordering :premises (@p470) :args ((or @t281 @t283))) % 0.44/0.68 (step @p472 :rule chain_m_resolution :premises (@p471 @p463) :args (@t281 @t233 @t285)) % 0.44/0.68 (step @p473 :rule cnf_or_pos :args (@t294)) % 0.44/0.68 (step @p474 :rule reordering :premises (@p473) :args ((or @t282 @t275 @t293 (not @t294)))) % 0.44/0.68 (step @p475 :rule chain_m_resolution :premises (@p474 @p472 @p465 @p362) :args (@t293 (@list false true false) (@list @t281 @t275 @t294))) % 0.44/0.68 (step @p476 :rule cnf_and_pos :args (@t293 1)) % 0.44/0.68 (step @p477 :rule reordering :premises (@p476) :args ((or @t289 @t295))) % 0.44/0.68 (step @p478 :rule chain_m_resolution :premises (@p477 @p475) :args (@t289 @t272 @t296)) % 0.44/0.68 (step @p479 :rule refl :args (@t302)) % 0.44/0.68 (step @p480 :rule bool-double-not-elim :args (@t288)) % 0.44/0.68 (step @p481 :rule nary_cong :premises (@p480 @p479) :args ((or (not @t289) @t302))) % 0.44/0.68 (assume-push @p560 @t289) % 0.44/0.68 (step @p483 :rule skolemize :premises (@p560)) % 0.44/0.68 (step-pop @p561 :rule scope :premises (@p483)) % 0.44/0.68 (step @p484 :rule process_scope :premises (@p561) :args (@t302)) % 0.44/0.68 (step @p486 :rule implies_elim :premises (@p484)) % 0.44/0.68 (step @p487 :rule eq_resolve :premises (@p486 @p481)) % 0.44/0.68 (step @p488 :rule chain_m_resolution :premises (@p487 @p478) :args (@t302 @t233 (@list @t288))) % 0.44/0.68 (step @p489 :rule bool-double-not-elim :args (@t299)) % 0.44/0.68 (step @p490 :rule refl :args (@t301)) % 0.44/0.68 (step @p491 :rule nary_cong :premises (@p490 @p489) :args ((or @t301 (not @t300)))) % 0.44/0.68 (step @p492 :rule cnf_or_neg :args (@t301 0)) % 0.44/0.68 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 0.44/0.68 (step @p494 :rule reordering :premises (@p493) :args ((or @t299 @t301))) % 0.44/0.68 (step @p495 :rule chain_m_resolution :premises (@p494 @p488) :args (@t299 @t233 @t303)) % 0.44/0.68 (step @p496 :rule cnf_or_neg :args (@t301 2)) % 0.44/0.68 (step @p497 :rule chain_m_resolution :premises (@p496 @p488) :args ((not @t298) @t233 @t303)) % 0.44/0.68 (step @p498 :rule cnf_or_neg :args (@t283 1)) % 0.44/0.68 (step @p499 :rule chain_m_resolution :premises (@p498 @p463) :args ((not @t280) @t233 @t285)) % 0.44/0.68 (step @p500 :rule cnf_and_pos :args (@t293 0)) % 0.44/0.68 (step @p501 :rule reordering :premises (@p500) :args ((or @t292 @t295))) % 0.44/0.68 (step @p502 :rule chain_m_resolution :premises (@p501 @p475) :args (@t292 @t272 @t296)) % 0.44/0.68 (step @p503 :rule refl :args (@t309)) % 0.44/0.68 (step @p504 :rule bool-double-not-elim :args (@t291)) % 0.44/0.68 (step @p505 :rule nary_cong :premises (@p504 @p503) :args ((or (not @t292) @t309))) % 0.44/0.68 (assume-push @p562 @t292) % 0.44/0.68 (step @p507 :rule skolemize :premises (@p562)) % 0.44/0.68 (step-pop @p563 :rule scope :premises (@p507)) % 0.44/0.68 (step @p508 :rule process_scope :premises (@p563) :args (@t309)) % 0.44/0.68 (step @p510 :rule implies_elim :premises (@p508)) % 0.44/0.68 (step @p511 :rule eq_resolve :premises (@p510 @p505)) % 0.44/0.68 (step @p512 :rule chain_m_resolution :premises (@p511 @p502) :args (@t309 @t233 (@list @t291))) % 0.44/0.68 (step @p513 :rule bool-double-not-elim :args (@t306)) % 0.44/0.68 (step @p514 :rule refl :args (@t308)) % 0.44/0.68 (step @p515 :rule nary_cong :premises (@p514 @p513) :args ((or @t308 (not @t307)))) % 0.44/0.68 (step @p516 :rule cnf_or_neg :args (@t308 0)) % 0.44/0.68 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 0.44/0.68 (step @p518 :rule reordering :premises (@p517) :args ((or @t306 @t308))) % 0.44/0.68 (step @p519 :rule chain_m_resolution :premises (@p518 @p512) :args (@t306 @t233 @t310)) % 0.44/0.68 (assume-push @p564 @t306) % 0.44/0.68 (step @p521 :rule instantiate :premises (@p564) :args (@t311)) % 0.44/0.68 (step-pop @p565 :rule scope :premises (@p521)) % 0.44/0.68 (step @p522 :rule process_scope :premises (@p565) :args (@t312)) % 0.44/0.68 (step @p524 :rule implies_elim :premises (@p522)) % 0.44/0.68 (step @p525 :rule chain_m_resolution :premises (@p524 @p519) :args (@t312 @t272 (@list @t306))) % 0.44/0.68 (step @p526 :rule cnf_or_neg :args (@t308 2)) % 0.44/0.68 (step @p527 :rule chain_m_resolution :premises (@p526 @p512) :args ((not @t305) @t233 @t310)) % 0.44/0.68 (step @p528 :rule cnf_or_pos :args (@t312)) % 0.44/0.68 (step @p529 :rule reordering :premises (@p528) :args ((or @t279 @t305 (not @t312)))) % 0.44/0.68 (step @p530 :rule chain_m_resolution :premises (@p529 @p527 @p525) :args (@t279 @t313 (@list @t305 @t312))) % 0.44/0.68 (step @p531 :rule bool-double-not-elim :args (@t276)) % 0.44/0.68 (step @p532 :rule bool-double-not-elim :args (@t278)) % 0.44/0.68 (step @p533 :rule refl :args (@t280)) % 0.44/0.68 (step @p534 :rule nary_cong :premises (@p533 @p532 @p531) :args ((or @t280 (not @t279) (not @t277)))) % 0.44/0.68 (step @p535 :rule cnf_and_neg :args (@t280)) % 0.44/0.68 (step @p536 :rule eq_resolve :premises (@p535 @p534)) % 0.44/0.68 (step @p537 :rule reordering :premises (@p536) :args ((or @t278 @t276 @t280))) % 0.44/0.68 (step @p538 :rule chain_m_resolution :premises (@p537 @p530 @p499) :args (@t276 (@list true true) (@list @t278 @t280))) % 0.44/0.68 (step @p539 :rule cnf_or_pos :args (@t314)) % 0.44/0.68 (step @p540 :rule reordering :premises (@p539) :args ((or @t277 @t298 @t315))) % 0.44/0.68 (step @p541 :rule chain_m_resolution :premises (@p540 @p538 @p497) :args (@t315 (@list false true) (@list @t276 @t298))) % 0.44/0.68 (assume-push @p566 @t299) % 0.44/0.68 (step @p543 :rule instantiate :premises (@p566) :args (@t311)) % 0.44/0.68 (step-pop @p567 :rule scope :premises (@p543)) % 0.44/0.68 (step @p544 :rule process_scope :premises (@p567) :args (@t314)) % 0.44/0.68 (step @p546 :rule implies_elim :premises (@p544)) % 0.44/0.68 (step @p547 false :rule chain_m_resolution :premises (@p546 @p541 @p495) :args (false @t313 (@list @t314 @t299))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------