0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.33 % Computer : n029.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Fri Sep 5 20:06:37 EDT 2025 0.13/0.34 % CPUTime : 0.19/0.48 %----Proving TH0 0.45/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 0.45/0.68 % SZS status Theorem 0.45/0.68 % SZS output start Proof 0.45/0.68 ( 0.45/0.68 (declare-type $$unsorted ()) 0.45/0.68 (declare-const tptp.complementT_lem Bool) 0.45/0.68 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) 0.45/0.68 (declare-const tptp.demorgan2b Bool) 0.45/0.68 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) 0.45/0.68 (declare-const tptp.setextT Bool) 0.45/0.68 (declare-const tptp.binintersectT_lem Bool) 0.45/0.68 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) 0.45/0.68 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) 0.45/0.68 (declare-const tptp.demorgan2a Bool) 0.45/0.68 (declare-const tptp.binunionT_lem Bool) 0.45/0.68 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) 0.45/0.68 (define @t1 () (@var "A" $$unsorted)) 0.45/0.68 (define @t2 () (_ tptp.powerset @t1)) 0.45/0.68 (define @t3 () (@var "Y" $$unsorted)) 0.45/0.68 (define @t4 () (@var "X" $$unsorted)) 0.45/0.68 (define @t5 () (_ (_ tptp.binintersect @t4) @t3)) 0.45/0.68 (define @t6 () (_ (_ tptp.in @t5) @t2)) 0.45/0.68 (define @t7 () (_ tptp.in @t3)) 0.45/0.68 (define @t8 () (_ @t7 @t2)) 0.45/0.68 (define @t9 () (@list @t3)) 0.45/0.68 (define @t10 () (forall @t9 (=> @t8 @t6))) 0.45/0.68 (define @t11 () (_ tptp.in @t4)) 0.45/0.68 (define @t12 () (_ @t11 @t2)) 0.45/0.68 (define @t13 () (=> @t12 @t10)) 0.45/0.68 (define @t14 () (@list @t1 @t4)) 0.45/0.68 (define @t15 () (forall @t14 @t13)) 0.45/0.68 (define @t16 () (= tptp.binintersectT_lem @t15)) 0.45/0.68 (define @t17 () (_ (_ tptp.binunion @t4) @t3)) 0.45/0.68 (define @t18 () (_ (_ tptp.in @t17) @t2)) 0.45/0.68 (define @t19 () (forall @t9 (=> @t8 @t18))) 0.45/0.68 (define @t20 () (=> @t12 @t19)) 0.45/0.68 (define @t21 () (forall @t14 @t20)) 0.45/0.68 (define @t22 () (= tptp.binunionT_lem @t21)) 0.45/0.68 (define @t23 () (_ tptp.setminus @t1)) 0.45/0.68 (define @t24 () (_ @t23 @t4)) 0.45/0.68 (define @t25 () (_ (_ tptp.in @t24) @t2)) 0.45/0.68 (define @t26 () (forall @t14 (=> @t12 @t25))) 0.45/0.68 (define @t27 () (= tptp.complementT_lem @t26)) 0.45/0.68 (define @t28 () (= @t4 @t3)) 0.45/0.68 (define @t29 () (@var "Xx" $$unsorted)) 0.45/0.68 (define @t30 () (_ tptp.in @t29)) 0.45/0.68 (define @t31 () (_ @t30 @t4)) 0.45/0.68 (define @t32 () (_ @t30 @t3)) 0.45/0.68 (define @t33 () (=> @t32 @t31)) 0.45/0.68 (define @t34 () (_ @t30 @t1)) 0.45/0.68 (define @t35 () (@list @t29)) 0.45/0.68 (define @t36 () (forall @t35 (=> @t34 @t33))) 0.45/0.68 (define @t37 () (=> @t36 @t28)) 0.45/0.68 (define @t38 () (=> @t31 @t32)) 0.45/0.68 (define @t39 () (forall @t35 (=> @t34 @t38))) 0.45/0.68 (define @t40 () (=> @t39 @t37)) 0.45/0.68 (define @t41 () (=> @t8 @t40)) 0.45/0.68 (define @t42 () (forall @t9 @t41)) 0.45/0.68 (define @t43 () (=> @t12 @t42)) 0.45/0.68 (define @t44 () (forall @t14 @t43)) 0.45/0.68 (define @t45 () (= tptp.setextT @t44)) 0.45/0.68 (define @t46 () (_ @t23 @t3)) 0.45/0.68 (define @t47 () (_ (_ tptp.binintersect @t24) @t46)) 0.45/0.68 (define @t48 () (_ @t30 @t47)) 0.45/0.68 (define @t49 () (_ @t23 @t17)) 0.45/0.68 (define @t50 () (_ @t30 @t49)) 0.45/0.68 (define @t51 () (=> @t50 @t48)) 0.45/0.68 (define @t52 () (forall @t35 (=> @t34 @t51))) 0.45/0.68 (define @t53 () (=> @t8 @t52)) 0.45/0.68 (define @t54 () (forall @t9 @t53)) 0.45/0.68 (define @t55 () (=> @t12 @t54)) 0.45/0.68 (define @t56 () (forall @t14 @t55)) 0.45/0.68 (define @t57 () (= tptp.demorgan2a @t56)) 0.45/0.68 (define @t58 () (=> @t48 @t50)) 0.45/0.68 (define @t59 () (forall @t35 (=> @t34 @t58))) 0.45/0.68 (define @t60 () (=> @t8 @t59)) 0.45/0.68 (define @t61 () (forall @t9 @t60)) 0.45/0.68 (define @t62 () (=> @t12 @t61)) 0.45/0.68 (define @t63 () (forall @t14 @t62)) 0.45/0.68 (define @t64 () (= tptp.demorgan2b @t63)) 0.45/0.68 (define @t65 () (= @t49 @t47)) 0.45/0.68 (define @t66 () (forall @t9 (=> @t8 @t65))) 0.45/0.68 (define @t67 () (=> @t12 @t66)) 0.45/0.68 (define @t68 () (forall @t14 @t67)) 0.45/0.68 (define @t69 () (=> tptp.demorgan2b @t68)) 0.45/0.68 (define @t70 () (=> tptp.demorgan2a @t69)) 0.45/0.68 (define @t71 () (=> tptp.setextT @t70)) 0.45/0.68 (define @t72 () (=> tptp.complementT_lem @t71)) 0.45/0.68 (define @t73 () (=> tptp.binunionT_lem @t72)) 0.45/0.68 (define @t74 () (=> tptp.binintersectT_lem @t73)) 0.45/0.68 (define @t75 () (not @t74)) 0.45/0.68 (define @t76 () (@var "BOUND_VARIABLE_7636" $$unsorted)) 0.45/0.68 (define @t77 () (tptp.setminus @t1 @t4)) 0.45/0.68 (define @t78 () (= (tptp.setminus @t1 (tptp.binunion @t4 @t76)) (tptp.binintersect @t77 (tptp.setminus @t1 @t76)))) 0.45/0.68 (define @t79 () (tptp.powerset @t1)) 0.45/0.68 (define @t80 () (not (tptp.in @t76 @t79))) 0.45/0.68 (define @t81 () (tptp.in @t4 @t79)) 0.45/0.68 (define @t82 () (not @t81)) 0.45/0.68 (define @t83 () (or @t82 @t80 @t78)) 0.45/0.68 (define @t84 () (@list @t1 @t4 @t76)) 0.45/0.68 (define @t85 () (forall @t84 @t83)) 0.45/0.68 (define @t86 () (@var "BOUND_VARIABLE_7602" $$unsorted)) 0.45/0.68 (define @t87 () (@var "BOUND_VARIABLE_7604" $$unsorted)) 0.45/0.68 (define @t88 () (tptp.in @t87 (tptp.setminus @t1 (tptp.binunion @t4 @t86)))) 0.45/0.68 (define @t89 () (not (tptp.in @t87 (tptp.binintersect @t77 (tptp.setminus @t1 @t86))))) 0.45/0.68 (define @t90 () (not (tptp.in @t87 @t1))) 0.45/0.68 (define @t91 () (not (tptp.in @t86 @t79))) 0.45/0.68 (define @t92 () (or @t82 @t91 @t90 @t89 @t88)) 0.45/0.68 (define @t93 () (or @t91 @t90 @t89 @t88)) 0.45/0.68 (define @t94 () (or @t82 @t93)) 0.45/0.68 (define @t95 () (@list @t1 @t4 @t86 @t87)) 0.45/0.68 (define @t96 () (forall @t95 @t94)) 0.45/0.68 (define @t97 () (@list @t86 @t87)) 0.45/0.68 (define @t98 () (forall @t97 @t94)) 0.45/0.68 (define @t99 () (forall @t97 @t93)) 0.45/0.68 (define @t100 () (@var "BOUND_VARIABLE_7583" $$unsorted)) 0.45/0.68 (define @t101 () (or @t82 @t99)) 0.45/0.68 (define @t102 () (tptp.binunion @t4 @t3)) 0.45/0.68 (define @t103 () (tptp.setminus @t1 @t102)) 0.45/0.68 (define @t104 () (tptp.in @t100 @t103)) 0.45/0.68 (define @t105 () (tptp.setminus @t1 @t3)) 0.45/0.68 (define @t106 () (tptp.binintersect @t77 @t105)) 0.45/0.68 (define @t107 () (not (tptp.in @t100 @t106))) 0.45/0.68 (define @t108 () (not (tptp.in @t100 @t1))) 0.45/0.68 (define @t109 () (tptp.in @t3 @t79)) 0.45/0.68 (define @t110 () (not @t109)) 0.45/0.68 (define @t111 () (or @t110 @t108 @t107 @t104)) 0.45/0.68 (define @t112 () (@list @t3 @t100)) 0.45/0.68 (define @t113 () (forall @t112 @t111)) 0.45/0.68 (define @t114 () (not @t12)) 0.45/0.68 (define @t115 () (or @t114 @t113)) 0.45/0.68 (define @t116 () (or @t108 @t107 @t104)) 0.45/0.68 (define @t117 () (or @t110 @t116)) 0.45/0.68 (define @t118 () (forall @t112 @t117)) 0.45/0.68 (define @t119 () (@list @t100)) 0.45/0.68 (define @t120 () (forall @t119 @t117)) 0.45/0.68 (define @t121 () (forall @t119 @t116)) 0.45/0.68 (define @t122 () (@list @t29)) 0.45/0.68 (define @t123 () (or @t110 @t121)) 0.45/0.68 (define @t124 () (tptp.in @t29 @t103)) 0.45/0.68 (define @t125 () (tptp.in @t29 @t106)) 0.45/0.68 (define @t126 () (tptp.in @t29 @t1)) 0.45/0.68 (define @t127 () (not @t126)) 0.45/0.68 (define @t128 () (forall @t35 (or @t127 (not @t125) @t124))) 0.45/0.68 (define @t129 () (not @t8)) 0.45/0.68 (define @t130 () (or @t129 @t128)) 0.45/0.68 (define @t131 () (not @t48)) 0.45/0.68 (define @t132 () (not @t34)) 0.45/0.68 (define @t133 () (or @t132 @t131 @t50)) 0.45/0.68 (define @t134 () (=> tptp.demorgan2b @t85)) 0.45/0.68 (define @t135 () (@var "BOUND_VARIABLE_7547" $$unsorted)) 0.45/0.68 (define @t136 () (@var "BOUND_VARIABLE_7549" $$unsorted)) 0.45/0.68 (define @t137 () (tptp.in @t136 (tptp.binintersect @t77 (tptp.setminus @t1 @t135)))) 0.45/0.68 (define @t138 () (not (tptp.in @t136 (tptp.setminus @t1 (tptp.binunion @t4 @t135))))) 0.45/0.68 (define @t139 () (not (tptp.in @t136 @t1))) 0.45/0.68 (define @t140 () (not (tptp.in @t135 @t79))) 0.45/0.68 (define @t141 () (or @t140 @t139 @t138 @t137)) 0.45/0.68 (define @t142 () (or @t82 @t141)) 0.45/0.68 (define @t143 () (forall (@list @t1 @t4 @t135 @t136) @t142)) 0.45/0.68 (define @t144 () (@list @t135 @t136)) 0.45/0.68 (define @t145 () (forall @t144 @t142)) 0.45/0.68 (define @t146 () (forall @t144 @t141)) 0.45/0.68 (define @t147 () (@var "BOUND_VARIABLE_7528" $$unsorted)) 0.45/0.68 (define @t148 () (or @t82 @t146)) 0.45/0.68 (define @t149 () (tptp.in @t147 @t106)) 0.45/0.68 (define @t150 () (not (tptp.in @t147 @t103))) 0.45/0.68 (define @t151 () (not (tptp.in @t147 @t1))) 0.45/0.68 (define @t152 () (or @t110 @t151 @t150 @t149)) 0.45/0.68 (define @t153 () (@list @t3 @t147)) 0.45/0.68 (define @t154 () (forall @t153 @t152)) 0.45/0.68 (define @t155 () (or @t114 @t154)) 0.45/0.68 (define @t156 () (or @t151 @t150 @t149)) 0.45/0.68 (define @t157 () (or @t110 @t156)) 0.45/0.68 (define @t158 () (forall @t153 @t157)) 0.45/0.68 (define @t159 () (@list @t147)) 0.45/0.68 (define @t160 () (forall @t159 @t157)) 0.45/0.68 (define @t161 () (forall @t159 @t156)) 0.45/0.68 (define @t162 () (or @t110 @t161)) 0.45/0.68 (define @t163 () (forall @t35 (or @t127 (not @t124) @t125))) 0.45/0.68 (define @t164 () (or @t129 @t163)) 0.45/0.68 (define @t165 () (not @t50)) 0.45/0.68 (define @t166 () (or @t132 @t165 @t48)) 0.45/0.68 (define @t167 () (=> tptp.demorgan2a @t134)) 0.45/0.68 (define @t168 () (@var "BOUND_VARIABLE_7484" $$unsorted)) 0.45/0.68 (define @t169 () (= @t4 @t168)) 0.45/0.68 (define @t170 () (tptp.in @t29 @t4)) 0.45/0.68 (define @t171 () (tptp.in @t29 @t168)) 0.45/0.68 (define @t172 () (not (forall @t35 (or @t127 (not @t171) @t170)))) 0.45/0.68 (define @t173 () (not @t170)) 0.45/0.68 (define @t174 () (not (forall @t35 (or @t127 @t173 @t171)))) 0.45/0.68 (define @t175 () (not (tptp.in @t168 @t79))) 0.45/0.68 (define @t176 () (or @t175 @t174 @t172 @t169)) 0.45/0.68 (define @t177 () (or @t82 @t176)) 0.45/0.68 (define @t178 () (forall (@list @t1 @t4 @t168) @t177)) 0.45/0.68 (define @t179 () (@list @t168)) 0.45/0.68 (define @t180 () (forall @t179 @t177)) 0.45/0.68 (define @t181 () (forall @t179 @t176)) 0.45/0.68 (define @t182 () (@list @t3)) 0.45/0.68 (define @t183 () (or @t82 @t181)) 0.45/0.68 (define @t184 () (tptp.in @t29 @t3)) 0.45/0.68 (define @t185 () (forall @t35 (or @t127 (not @t184) @t170))) 0.45/0.68 (define @t186 () (not @t185)) 0.45/0.68 (define @t187 () (forall @t35 (or @t127 @t173 @t184))) 0.45/0.68 (define @t188 () (not @t187)) 0.45/0.68 (define @t189 () (forall @t9 (or @t110 @t188 @t186 @t28))) 0.45/0.68 (define @t190 () (or @t114 @t189)) 0.45/0.68 (define @t191 () (or @t129 @t188 @t186 @t28)) 0.45/0.68 (define @t192 () (or @t188 @t186 @t28)) 0.45/0.68 (define @t193 () (=> @t185 @t28)) 0.45/0.68 (define @t194 () (=> @t187 @t193)) 0.45/0.68 (define @t195 () (not @t32)) 0.45/0.68 (define @t196 () (or @t132 @t195 @t31)) 0.45/0.68 (define @t197 () (not @t31)) 0.45/0.68 (define @t198 () (or @t132 @t197 @t32)) 0.45/0.68 (define @t199 () (=> tptp.setextT @t167)) 0.45/0.68 (define @t200 () (tptp.in @t77 @t79)) 0.45/0.68 (define @t201 () (or @t114 @t25)) 0.45/0.68 (define @t202 () (=> tptp.complementT_lem @t199)) 0.45/0.68 (define @t203 () (@var "BOUND_VARIABLE_7423" $$unsorted)) 0.45/0.68 (define @t204 () (tptp.in (tptp.binunion @t4 @t203) @t79)) 0.45/0.68 (define @t205 () (not (tptp.in @t203 @t79))) 0.45/0.68 (define @t206 () (or @t205 @t204)) 0.45/0.68 (define @t207 () (or @t82 @t206)) 0.45/0.68 (define @t208 () (forall (@list @t1 @t4 @t203) @t207)) 0.45/0.68 (define @t209 () (@list @t203)) 0.45/0.68 (define @t210 () (forall @t209 @t207)) 0.45/0.68 (define @t211 () (forall @t209 @t206)) 0.45/0.68 (define @t212 () (or @t82 @t211)) 0.45/0.68 (define @t213 () (tptp.in @t102 @t79)) 0.45/0.68 (define @t214 () (forall @t9 (or @t110 @t213))) 0.45/0.68 (define @t215 () (or @t114 @t214)) 0.45/0.68 (define @t216 () (or @t129 @t18)) 0.45/0.68 (define @t217 () (=> tptp.binunionT_lem @t202)) 0.45/0.68 (define @t218 () (@var "BOUND_VARIABLE_7395" $$unsorted)) 0.45/0.68 (define @t219 () (tptp.in (tptp.binintersect @t4 @t218) @t79)) 0.45/0.68 (define @t220 () (not (tptp.in @t218 @t79))) 0.45/0.68 (define @t221 () (or @t220 @t219)) 0.45/0.68 (define @t222 () (or @t82 @t221)) 0.45/0.68 (define @t223 () (forall (@list @t1 @t4 @t218) @t222)) 0.45/0.68 (define @t224 () (@list @t218)) 0.45/0.68 (define @t225 () (forall @t224 @t222)) 0.45/0.68 (define @t226 () (forall @t224 @t221)) 0.45/0.68 (define @t227 () (or @t82 @t226)) 0.45/0.68 (define @t228 () (tptp.binintersect @t4 @t3)) 0.45/0.68 (define @t229 () (tptp.in @t228 @t79)) 0.45/0.68 (define @t230 () (forall @t9 (or @t110 @t229))) 0.45/0.68 (define @t231 () (or @t114 @t230)) 0.45/0.68 (define @t232 () (or @t129 @t6)) 0.45/0.68 (define @t233 () (=> tptp.binintersectT_lem @t217)) 0.45/0.68 (define @t234 () (or @t80 @t78)) 0.45/0.68 (define @t235 () (or @t82 @t234)) 0.45/0.68 (define @t236 () (forall @t84 @t235)) 0.45/0.68 (define @t237 () (@list @t76)) 0.45/0.68 (define @t238 () (forall @t237 @t235)) 0.45/0.68 (define @t239 () (forall @t237 @t234)) 0.45/0.68 (define @t240 () (or @t82 @t239)) 0.45/0.68 (define @t241 () (forall @t9 (or @t110 (= @t103 @t106)))) 0.45/0.68 (define @t242 () (or @t114 @t241)) 0.45/0.68 (define @t243 () (or @t129 @t65)) 0.45/0.68 (define @t244 () (@quantifiers_skolemize @t85 2)) 0.45/0.68 (define @t245 () (@quantifiers_skolemize @t85 0)) 0.45/0.68 (define @t246 () (tptp.setminus @t245 @t244)) 0.45/0.68 (define @t247 () (@quantifiers_skolemize @t85 1)) 0.45/0.68 (define @t248 () (tptp.setminus @t245 @t247)) 0.45/0.68 (define @t249 () (tptp.binintersect @t248 @t246)) 0.45/0.68 (define @t250 () (tptp.binunion @t247 @t244)) 0.45/0.68 (define @t251 () (tptp.setminus @t245 @t250)) 0.45/0.68 (define @t252 () (tptp.in @t29 @t249)) 0.45/0.68 (define @t253 () (tptp.in @t29 @t251)) 0.45/0.68 (define @t254 () (not (tptp.in @t29 @t245))) 0.45/0.68 (define @t255 () (forall @t35 (or @t254 (not @t253) @t252))) 0.45/0.68 (define @t256 () (@quantifiers_skolemize @t255 0)) 0.45/0.68 (define @t257 () (tptp.in @t256 @t245)) 0.45/0.68 (define @t258 () (tptp.in @t256 @t249)) 0.45/0.68 (define @t259 () (tptp.in @t256 @t251)) 0.45/0.68 (define @t260 () (not @t259)) 0.45/0.68 (define @t261 () (not @t257)) 0.45/0.68 (define @t262 () (or @t261 @t260 @t258)) 0.45/0.68 (define @t263 () (tptp.powerset @t245)) 0.45/0.68 (define @t264 () (tptp.in @t247 @t263)) 0.45/0.68 (define @t265 () (= @t251 @t249)) 0.45/0.68 (define @t266 () (tptp.in @t244 @t263)) 0.45/0.68 (define @t267 () (not @t266)) 0.45/0.68 (define @t268 () (not @t264)) 0.45/0.68 (define @t269 () (or @t268 @t267 @t265)) 0.45/0.68 (define @t270 () (@list true)) 0.45/0.68 (define @t271 () (@list @t269)) 0.45/0.68 (define @t272 () (or @t268 @t267 @t261 @t260 @t258)) 0.45/0.68 (define @t273 () (not @t262)) 0.45/0.68 (define @t274 () (not @t255)) 0.45/0.68 (define @t275 () (tptp.in @t246 @t263)) 0.45/0.68 (define @t276 () (or @t267 @t275)) 0.45/0.68 (define @t277 () (@list false false)) 0.45/0.68 (define @t278 () (tptp.in @t248 @t263)) 0.45/0.68 (define @t279 () (or @t268 @t278)) 0.45/0.68 (define @t280 () (tptp.in @t249 @t263)) 0.45/0.68 (define @t281 () (not @t275)) 0.45/0.68 (define @t282 () (not @t278)) 0.45/0.68 (define @t283 () (or @t282 @t281 @t280)) 0.45/0.68 (define @t284 () (@list false false false)) 0.45/0.68 (define @t285 () (tptp.in @t250 @t263)) 0.45/0.68 (define @t286 () (or @t268 @t267 @t285)) 0.45/0.68 (define @t287 () (tptp.in @t251 @t263)) 0.45/0.68 (define @t288 () (not @t285)) 0.45/0.68 (define @t289 () (or @t288 @t287)) 0.45/0.68 (define @t290 () (forall @t35 (or @t254 (not @t252) @t253))) 0.45/0.68 (define @t291 () (not @t290)) 0.45/0.68 (define @t292 () (not @t280)) 0.45/0.68 (define @t293 () (not @t287)) 0.45/0.68 (define @t294 () (or @t293 @t292 @t274 @t291 @t265)) 0.45/0.68 (define @t295 () (@quantifiers_skolemize @t290 0)) 0.45/0.68 (define @t296 () (tptp.in @t295 @t251)) 0.45/0.68 (define @t297 () (tptp.in @t295 @t249)) 0.45/0.68 (define @t298 () (not @t297)) 0.45/0.68 (define @t299 () (tptp.in @t295 @t245)) 0.45/0.68 (define @t300 () (not @t299)) 0.45/0.68 (define @t301 () (or @t300 @t298 @t296)) 0.45/0.68 (define @t302 () (not @t301)) 0.45/0.68 (define @t303 () (@list @t301)) 0.45/0.68 (define @t304 () (or @t268 @t267 @t300 @t298 @t296)) 0.45/0.68 (define @t305 () (forall @t95 @t92)) 0.45/0.68 (assume @p1 @t16) 0.45/0.68 (assume @p2 @t22) 0.45/0.68 (assume @p3 @t27) 0.45/0.68 (assume @p4 @t45) 0.45/0.68 (assume @p5 @t57) 0.45/0.68 (assume @p6 @t64) 0.45/0.68 (assume @p7 @t75) 0.45/0.68 (assume @p8 true) 0.45/0.68 (step @p9 :rule refl :args (@t85)) 0.45/0.68 (step @p10 :rule aci_norm :args ((= @t94 @t92))) 0.45/0.68 (step @p11 :rule cong :premises (@p10) :args (@t96)) 0.45/0.68 (step @p12 :rule quant-merge-prenex :args ((= (forall @t14 @t98) @t96))) 0.45/0.68 (step @p13 :rule alpha_equiv :args (@t99 (@list @t86 @t87) (@list @t3 @t100))) 0.45/0.68 (step @p14 :rule refl :args (@t82)) 0.45/0.68 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t101)) 0.45/0.68 (step @p16 :rule quant-miniscope-or :args ((= @t98 @t101))) 0.45/0.68 (step @p17 :rule trans :premises (@p16 @p15)) 0.45/0.68 (step @p18 :rule symm :premises (@p17)) 0.45/0.68 (step @p19 :rule cong :premises (@p18) :args ((forall @t14 (or @t82 @t113)))) 0.45/0.68 (step @p20 :rule trans :premises (@p19 @p12)) 0.45/0.68 (step @p21 :rule trans :premises (@p20 @p11)) 0.45/0.68 (step @p22 :rule refl :args (@t113)) 0.45/0.68 (step @p23 :rule refl :args ((tptp.in @t4 @t2))) 0.45/0.68 (step @p24 :rule refl :args (@t79)) 0.45/0.68 (step @p25 :rule refl :args (@t4)) 0.45/0.68 (step @p26 :rule cong :premises (@p25 @p24) :args (@t81)) 0.45/0.68 (step @p27 :rule trans :premises (@p26 @p23)) 0.45/0.68 (step @p28 :rule refl :args (@t11)) 0.45/0.68 (step @p29 :rule ho_cong :premises (@p28 @p24)) 0.45/0.68 (step @p30 :rule cong :premises (@p29 @p27) :args ((= (_ @t11 @t79) @t81))) 0.45/0.68 (step @p31 :rule symm :premises (@p30)) 0.45/0.68 (step @p32 :rule refl :args (@t12)) 0.45/0.68 (step @p33 :rule eq_resolve :premises (@p32 @p31)) 0.45/0.68 (step @p34 :rule refl :args (@t2)) 0.45/0.68 (step @p35 :rule cong :premises (@p34 @p24) :args ((= @t2 @t79))) 0.45/0.68 (step @p36 :rule symm :premises (@p35)) 0.45/0.68 (step @p37 :rule eq_resolve :premises (@p34 @p36)) 0.45/0.68 (step @p38 :rule ho_cong :premises (@p28 @p37)) 0.45/0.68 (step @p39 :rule trans :premises (@p38 @p33)) 0.45/0.68 (step @p40 :rule cong :premises (@p39) :args (@t114)) 0.45/0.68 (step @p41 :rule nary_cong :premises (@p40 @p22) :args (@t115)) 0.45/0.68 (step @p42 :rule cong :premises (@p41) :args ((forall @t14 @t115))) 0.45/0.68 (step @p43 :rule trans :premises (@p42 @p21)) 0.45/0.68 (step @p44 :rule bool-impl-elim :args (@t12 @t113)) 0.45/0.68 (step @p45 :rule cong :premises (@p44) :args ((forall @t14 (=> @t12 @t113)))) 0.45/0.68 (step @p46 :rule trans :premises (@p45 @p43)) 0.45/0.68 (step @p47 :rule aci_norm :args ((= @t117 @t111))) 0.45/0.68 (step @p48 :rule cong :premises (@p47) :args (@t118)) 0.45/0.68 (step @p49 :rule quant-merge-prenex :args ((= (forall @t9 @t120) @t118))) 0.45/0.68 (step @p50 :rule alpha_equiv :args (@t121 (@list @t100) @t122)) 0.45/0.68 (step @p51 :rule refl :args (@t110)) 0.45/0.68 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t123)) 0.45/0.68 (step @p53 :rule quant-miniscope-or :args ((= @t120 @t123))) 0.45/0.68 (step @p54 :rule trans :premises (@p53 @p52)) 0.45/0.68 (step @p55 :rule symm :premises (@p54)) 0.45/0.68 (step @p56 :rule cong :premises (@p55) :args ((forall @t9 (or @t110 @t128)))) 0.45/0.68 (step @p57 :rule trans :premises (@p56 @p49)) 0.45/0.68 (step @p58 :rule trans :premises (@p57 @p48)) 0.45/0.68 (step @p59 :rule refl :args (@t128)) 0.45/0.68 (step @p60 :rule refl :args ((tptp.in @t3 @t2))) 0.45/0.68 (step @p61 :rule refl :args (@t3)) 0.45/0.68 (step @p62 :rule cong :premises (@p61 @p24) :args (@t109)) 0.45/0.68 (step @p63 :rule trans :premises (@p62 @p60)) 0.45/0.68 (step @p64 :rule refl :args (@t7)) 0.45/0.68 (step @p65 :rule ho_cong :premises (@p64 @p24)) 0.45/0.68 (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t7 @t79) @t109))) 0.45/0.68 (step @p67 :rule symm :premises (@p66)) 0.45/0.68 (step @p68 :rule refl :args (@t8)) 0.45/0.68 (step @p69 :rule eq_resolve :premises (@p68 @p67)) 0.45/0.68 (step @p70 :rule ho_cong :premises (@p64 @p37)) 0.45/0.68 (step @p71 :rule trans :premises (@p70 @p69)) 0.45/0.68 (step @p72 :rule cong :premises (@p71) :args (@t129)) 0.45/0.68 (step @p73 :rule nary_cong :premises (@p72 @p59) :args (@t130)) 0.45/0.68 (step @p74 :rule cong :premises (@p73) :args ((forall @t9 @t130))) 0.45/0.68 (step @p75 :rule trans :premises (@p74 @p58)) 0.45/0.68 (step @p76 :rule bool-impl-elim :args (@t8 @t128)) 0.45/0.68 (step @p77 :rule cong :premises (@p76) :args ((forall @t9 (=> @t8 @t128)))) 0.45/0.68 (step @p78 :rule trans :premises (@p77 @p75)) 0.45/0.68 (step @p79 :rule refl :args ((tptp.in @t29 @t49))) 0.45/0.68 (step @p80 :rule refl :args ((tptp.setminus @t1 @t17))) 0.45/0.68 (step @p81 :rule refl :args (@t102)) 0.45/0.68 (step @p82 :rule refl :args (@t1)) 0.45/0.68 (step @p83 :rule cong :premises (@p82 @p81) :args (@t103)) 0.45/0.68 (step @p84 :rule trans :premises (@p83 @p80)) 0.45/0.68 (step @p85 :rule refl :args (@t29)) 0.45/0.68 (step @p86 :rule cong :premises (@p85 @p84) :args (@t124)) 0.45/0.68 (step @p87 :rule trans :premises (@p86 @p79)) 0.45/0.68 (step @p88 :rule refl :args (@t30)) 0.45/0.68 (step @p89 :rule ho_cong :premises (@p88 @p84)) 0.45/0.68 (step @p90 :rule cong :premises (@p89 @p87) :args ((= (_ @t30 @t103) @t124))) 0.45/0.68 (step @p91 :rule symm :premises (@p90)) 0.45/0.68 (step @p92 :rule refl :args (@t50)) 0.45/0.68 (step @p93 :rule eq_resolve :premises (@p92 @p91)) 0.45/0.68 (step @p94 :rule refl :args (@t23)) 0.45/0.68 (step @p95 :rule ho_cong :premises (@p94 @p81)) 0.45/0.68 (step @p96 :rule cong :premises (@p95 @p84) :args ((= (_ @t23 @t102) @t103))) 0.45/0.68 (step @p97 :rule symm :premises (@p96)) 0.45/0.68 (step @p98 :rule refl :args (@t49)) 0.45/0.68 (step @p99 :rule eq_resolve :premises (@p98 @p97)) 0.45/0.68 (step @p100 :rule refl :args (@t17)) 0.45/0.68 (step @p101 :rule cong :premises (@p100 @p81) :args ((= @t17 @t102))) 0.45/0.68 (step @p102 :rule symm :premises (@p101)) 0.45/0.68 (step @p103 :rule eq_resolve :premises (@p100 @p102)) 0.45/0.68 (step @p104 :rule ho_cong :premises (@p94 @p103)) 0.45/0.68 (step @p105 :rule trans :premises (@p104 @p99)) 0.45/0.68 (step @p106 :rule ho_cong :premises (@p88 @p105)) 0.45/0.68 (step @p107 :rule trans :premises (@p106 @p93)) 0.45/0.68 (step @p108 :rule refl :args ((tptp.in @t29 @t47))) 0.45/0.68 (step @p109 :rule refl :args ((tptp.binintersect @t24 @t46))) 0.45/0.68 (step @p110 :rule refl :args (@t105)) 0.45/0.68 (step @p111 :rule refl :args (@t77)) 0.45/0.68 (step @p112 :rule cong :premises (@p111 @p110) :args (@t106)) 0.45/0.68 (step @p113 :rule trans :premises (@p112 @p109)) 0.45/0.68 (step @p114 :rule cong :premises (@p85 @p113) :args (@t125)) 0.45/0.68 (step @p115 :rule trans :premises (@p114 @p108)) 0.45/0.68 (step @p116 :rule ho_cong :premises (@p88 @p113)) 0.45/0.68 (step @p117 :rule cong :premises (@p116 @p115) :args ((= (_ @t30 @t106) @t125))) 0.45/0.68 (step @p118 :rule symm :premises (@p117)) 0.45/0.68 (step @p119 :rule refl :args (@t48)) 0.45/0.68 (step @p120 :rule eq_resolve :premises (@p119 @p118)) 0.45/0.68 (step @p121 :rule refl :args (tptp.binintersect)) 0.45/0.68 (step @p122 :rule ho_cong :premises (@p121 @p111)) 0.45/0.68 (step @p123 :rule ho_cong :premises (@p122 @p110)) 0.45/0.68 (step @p124 :rule cong :premises (@p123 @p113) :args ((= (_ (_ tptp.binintersect @t77) @t105) @t106))) 0.45/0.68 (step @p125 :rule symm :premises (@p124)) 0.45/0.68 (step @p126 :rule refl :args (@t47)) 0.45/0.68 (step @p127 :rule eq_resolve :premises (@p126 @p125)) 0.45/0.68 (step @p128 :rule refl :args (@t46)) 0.45/0.68 (step @p129 :rule cong :premises (@p128 @p110) :args ((= @t46 @t105))) 0.45/0.68 (step @p130 :rule symm :premises (@p129)) 0.45/0.68 (step @p131 :rule eq_resolve :premises (@p128 @p130)) 0.45/0.68 (step @p132 :rule refl :args (@t24)) 0.45/0.68 (step @p133 :rule cong :premises (@p132 @p111) :args ((= @t24 @t77))) 0.45/0.68 (step @p134 :rule symm :premises (@p133)) 0.45/0.68 (step @p135 :rule eq_resolve :premises (@p132 @p134)) 0.45/0.68 (step @p136 :rule ho_cong :premises (@p121 @p135)) 0.45/0.68 (step @p137 :rule ho_cong :premises (@p136 @p131)) 0.45/0.68 (step @p138 :rule trans :premises (@p137 @p127)) 0.45/0.68 (step @p139 :rule ho_cong :premises (@p88 @p138)) 0.45/0.68 (step @p140 :rule trans :premises (@p139 @p120)) 0.45/0.68 (step @p141 :rule cong :premises (@p140) :args (@t131)) 0.45/0.68 (step @p142 :rule refl :args (@t126)) 0.45/0.68 (step @p143 :rule refl :args (@t34)) 0.45/0.68 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t34 @t126))) 0.45/0.68 (step @p145 :rule symm :premises (@p144)) 0.45/0.68 (step @p146 :rule eq_resolve :premises (@p143 @p145)) 0.45/0.68 (step @p147 :rule cong :premises (@p146) :args (@t132)) 0.45/0.68 (step @p148 :rule nary_cong :premises (@p147 @p141 @p107) :args (@t133)) 0.45/0.68 (step @p149 :rule cong :premises (@p148) :args ((forall @t35 @t133))) 0.45/0.68 (step @p150 :rule aci_norm :args ((= (or @t132 (or @t131 @t50)) @t133))) 0.45/0.68 (step @p151 :rule bool-impl-elim :args (@t48 @t50)) 0.45/0.68 (step @p152 :rule refl :args (@t132)) 0.45/0.68 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t132 @t58))) 0.45/0.68 (step @p154 :rule trans :premises (@p153 @p150)) 0.45/0.68 (step @p155 :rule bool-impl-elim :args (@t34 @t58)) 0.45/0.68 (step @p156 :rule trans :premises (@p155 @p154)) 0.45/0.68 (step @p157 :rule cong :premises (@p156) :args (@t59)) 0.45/0.68 (step @p158 :rule trans :premises (@p157 @p149)) 0.45/0.68 (step @p159 :rule refl :args (@t8)) 0.45/0.68 (step @p160 :rule cong :premises (@p159 @p158) :args (@t60)) 0.45/0.68 (step @p161 :rule cong :premises (@p160) :args (@t61)) 0.45/0.68 (step @p162 :rule trans :premises (@p161 @p78)) 0.45/0.68 (step @p163 :rule refl :args (@t12)) 0.45/0.68 (step @p164 :rule cong :premises (@p163 @p162) :args (@t62)) 0.45/0.68 (step @p165 :rule cong :premises (@p164) :args (@t63)) 0.45/0.68 (step @p166 :rule trans :premises (@p165 @p46)) 0.45/0.68 (step @p167 :rule refl :args (tptp.demorgan2b)) 0.45/0.68 (step @p168 :rule cong :premises (@p167 @p166) :args (@t64)) 0.45/0.68 (step @p169 :rule eq_resolve :premises (@p6 @p168)) 0.45/0.68 (step @p170 :rule cong :premises (@p169 @p9) :args (@t134)) 0.45/0.68 (step @p171 :rule aci_norm :args ((= @t142 (or @t82 @t140 @t139 @t138 @t137)))) 0.45/0.68 (step @p172 :rule cong :premises (@p171) :args (@t143)) 0.45/0.68 (step @p173 :rule quant-merge-prenex :args ((= (forall @t14 @t145) @t143))) 0.45/0.68 (step @p174 :rule alpha_equiv :args (@t146 (@list @t135 @t136) (@list @t3 @t147))) 0.45/0.68 (step @p175 :rule nary_cong :premises (@p14 @p174) :args (@t148)) 0.45/0.68 (step @p176 :rule quant-miniscope-or :args ((= @t145 @t148))) 0.45/0.68 (step @p177 :rule trans :premises (@p176 @p175)) 0.45/0.68 (step @p178 :rule symm :premises (@p177)) 0.45/0.68 (step @p179 :rule cong :premises (@p178) :args ((forall @t14 (or @t82 @t154)))) 0.45/0.68 (step @p180 :rule trans :premises (@p179 @p173)) 0.45/0.68 (step @p181 :rule trans :premises (@p180 @p172)) 0.45/0.68 (step @p182 :rule refl :args (@t154)) 0.45/0.68 (step @p183 :rule nary_cong :premises (@p40 @p182) :args (@t155)) 0.45/0.68 (step @p184 :rule cong :premises (@p183) :args ((forall @t14 @t155))) 0.45/0.68 (step @p185 :rule trans :premises (@p184 @p181)) 0.45/0.68 (step @p186 :rule bool-impl-elim :args (@t12 @t154)) 0.45/0.68 (step @p187 :rule cong :premises (@p186) :args ((forall @t14 (=> @t12 @t154)))) 0.45/0.68 (step @p188 :rule trans :premises (@p187 @p185)) 0.45/0.68 (step @p189 :rule aci_norm :args ((= @t157 @t152))) 0.45/0.68 (step @p190 :rule cong :premises (@p189) :args (@t158)) 0.45/0.68 (step @p191 :rule quant-merge-prenex :args ((= (forall @t9 @t160) @t158))) 0.45/0.68 (step @p192 :rule alpha_equiv :args (@t161 (@list @t147) @t122)) 0.45/0.68 (step @p193 :rule nary_cong :premises (@p51 @p192) :args (@t162)) 0.45/0.68 (step @p194 :rule quant-miniscope-or :args ((= @t160 @t162))) 0.45/0.68 (step @p195 :rule trans :premises (@p194 @p193)) 0.45/0.68 (step @p196 :rule symm :premises (@p195)) 0.45/0.68 (step @p197 :rule cong :premises (@p196) 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(@t71)) 0.45/0.68 (step @p452 :rule cong :premises (@p328 @p451) :args (@t72)) 0.45/0.68 (step @p453 :rule cong :premises (@p370 @p452) :args (@t73)) 0.45/0.68 (step @p454 :rule cong :premises (@p417 @p453) :args (@t74)) 0.45/0.68 (step @p455 :rule cong :premises (@p454) :args (@t75)) 0.45/0.68 (step @p456 :rule trans :premises (@p455 @p421)) 0.45/0.68 (step @p457 :rule eq_resolve :premises (@p7 @p456)) 0.45/0.68 (step @p458 :rule not_implies_elim2 :premises (@p457)) 0.45/0.68 (step @p459 :rule not_implies_elim2 :premises (@p458)) 0.45/0.68 (step @p460 :rule not_implies_elim2 :premises (@p459)) 0.45/0.68 (step @p461 :rule not_implies_elim2 :premises (@p460)) 0.45/0.68 (step @p462 :rule not_implies_elim2 :premises (@p461)) 0.45/0.68 (step @p463 :rule not_implies_elim1 :premises (@p462)) 0.45/0.68 (step @p464 :rule not_implies_elim1 :premises (@p460)) 0.45/0.68 (step @p465 :rule instantiate :premises (@p464) :args ((@list @t245 @t251 @t249))) 0.45/0.68 (step @p466 :rule bool-double-not-elim :args (@t257)) 0.45/0.68 (step @p467 :rule refl :args (@t262)) 0.45/0.68 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t262 (not @t261)))) 0.45/0.68 (step @p469 :rule cnf_or_neg :args (@t262 0)) 0.45/0.68 (step @p470 :rule eq_resolve :premises (@p469 @p468)) 0.45/0.68 (step @p471 :rule reordering :premises (@p470) :args ((or @t257 @t262))) 0.45/0.68 (step @p472 :rule bool-double-not-elim :args (@t259)) 0.45/0.68 (step @p473 :rule nary_cong :premises (@p467 @p472) :args ((or @t262 (not @t260)))) 0.45/0.68 (step @p474 :rule cnf_or_neg :args (@t262 1)) 0.45/0.68 (step @p475 :rule eq_resolve :premises (@p474 @p473)) 0.45/0.68 (step @p476 :rule reordering :premises (@p475) :args ((or @t259 @t262))) 0.45/0.68 (step @p477 :rule cnf_or_neg :args (@t262 2)) 0.45/0.68 (step @p478 :rule not_implies_elim2 :premises (@p462)) 0.45/0.68 (step @p479 :rule skolemize :premises (@p478)) 0.45/0.68 (step @p480 :rule bool-double-not-elim :args (@t264)) 0.45/0.68 (step @p481 :rule refl :args (@t269)) 0.45/0.68 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or @t269 (not @t268)))) 0.45/0.68 (step @p483 :rule cnf_or_neg :args (@t269 0)) 0.45/0.68 (step @p484 :rule eq_resolve :premises (@p483 @p482)) 0.45/0.68 (step @p485 :rule reordering :premises (@p484) :args ((or @t264 @t269))) 0.45/0.68 (step @p486 :rule chain_resolution :premises (@p485 @p479) :args (@t270 @t271)) 0.45/0.68 (step @p487 :rule bool-double-not-elim :args (@t266)) 0.45/0.68 (step @p488 :rule nary_cong :premises (@p481 @p487) :args ((or @t269 (not @t267)))) 0.45/0.68 (step @p489 :rule cnf_or_neg :args (@t269 1)) 0.45/0.68 (step @p490 :rule eq_resolve :premises (@p489 @p488)) 0.45/0.68 (step @p491 :rule reordering :premises (@p490) :args ((or @t266 @t269))) 0.45/0.68 (step @p492 :rule chain_resolution :premises (@p491 @p479) :args (@t270 @t271)) 0.45/0.68 (step @p493 :rule not_implies_elim1 :premises (@p461)) 0.45/0.68 (step @p494 :rule instantiate :premises (@p493) :args ((@list @t245 @t247 @t244 @t256))) 0.45/0.68 (step @p495 :rule cnf_or_pos :args (@t272)) 0.45/0.68 (step @p496 :rule reordering :premises (@p495) :args ((or @t268 @t267 @t261 @t260 @t258 (not @t272)))) 0.45/0.68 (step @p497 :rule chain_resolution :premises (@p496 @p494 @p492 @p486 @p477 @p476 @p471) :args ((@list false false false true false false) (@list @t272 @t266 @t264 @t258 @t259 @t257))) 0.45/0.68 (step @p498 :rule factoring :premises (@p497)) 0.45/0.68 (step @p499 :rule refl :args (@t273)) 0.45/0.68 (step @p500 :rule bool-double-not-elim :args (@t255)) 0.45/0.68 (step @p501 :rule nary_cong :premises (@p500 @p499) :args ((or (not @t274) @t273))) 0.45/0.68 (assume-push @p571 @t274) 0.45/0.68 (step @p503 :rule skolemize :premises (@p571)) 0.45/0.68 (step-pop @p571 :rule scope :premises (@p503)) 0.45/0.68 (step @p504 :rule process_scope :premises (@p571) :args (@t273)) 0.45/0.68 (step @p506 :rule implies_elim :premises (@p504)) 0.45/0.68 (step @p507 :rule eq_resolve :premises (@p506 @p501)) 0.45/0.68 (step @p508 :rule chain_resolution :premises (@p507 @p498) :args ((@list false) (@list @t262))) 0.45/0.68 (step @p509 :rule not_implies_elim1 :premises (@p457)) 0.45/0.68 (step @p510 :rule instantiate :premises (@p509) :args ((@list @t245 @t248 @t246))) 0.45/0.68 (step @p511 :rule not_implies_elim1 :premises (@p459)) 0.45/0.68 (step @p512 :rule instantiate :premises (@p511) :args ((@list @t245 @t244))) 0.45/0.68 (step @p513 :rule cnf_or_pos :args (@t276)) 0.45/0.68 (step @p514 :rule reordering :premises (@p513) :args ((or @t267 @t275 (not @t276)))) 0.45/0.68 (step @p515 :rule chain_resolution :premises (@p514 @p492 @p512) :args (@t277 (@list @t266 @t276))) 0.45/0.68 (step @p516 :rule instantiate :premises (@p511) :args ((@list @t245 @t247))) 0.45/0.68 (step @p517 :rule cnf_or_pos :args (@t279)) 0.45/0.68 (step @p518 :rule reordering :premises (@p517) :args ((or @t268 @t278 (not @t279)))) 0.45/0.68 (step @p519 :rule chain_resolution :premises (@p518 @p486 @p516) :args (@t277 (@list @t264 @t279))) 0.45/0.68 (step @p520 :rule cnf_or_pos :args (@t283)) 0.45/0.68 (step @p521 :rule reordering :premises (@p520) :args ((or @t282 @t281 @t280 (not @t283)))) 0.45/0.68 (step @p522 :rule chain_resolution :premises (@p521 @p519 @p515 @p510) :args (@t284 (@list @t278 @t275 @t283))) 0.45/0.68 (step @p523 :rule instantiate :premises (@p511) :args ((@list @t245 @t250))) 0.45/0.68 (step @p524 :rule not_implies_elim1 :premises (@p458)) 0.45/0.68 (step @p525 :rule instantiate :premises (@p524) :args ((@list @t245 @t247 @t244))) 0.45/0.68 (step @p526 :rule cnf_or_pos :args (@t286)) 0.45/0.68 (step @p527 :rule reordering :premises (@p526) :args ((or @t268 @t267 @t285 (not @t286)))) 0.45/0.68 (step @p528 :rule chain_resolution :premises (@p527 @p486 @p492 @p525) :args (@t284 (@list @t264 @t266 @t286))) 0.45/0.68 (step @p529 :rule cnf_or_pos :args (@t289)) 0.45/0.68 (step @p530 :rule reordering :premises (@p529) :args ((or @t288 @t287 (not @t289)))) 0.45/0.68 (step @p531 :rule chain_resolution :premises (@p530 @p528 @p523) :args (@t277 (@list @t285 @t289))) 0.45/0.68 (step @p532 :rule cnf_or_neg :args (@t269 2)) 0.45/0.68 (step @p533 :rule chain_resolution :premises (@p532 @p479) :args (@t270 @t271)) 0.45/0.68 (step @p534 :rule cnf_or_pos :args (@t294)) 0.45/0.68 (step @p535 :rule reordering :premises (@p534) :args ((or @t265 @t293 @t292 @t274 @t291 (not @t294)))) 0.45/0.68 (step @p536 :rule chain_resolution :premises (@p535 @p533 @p531 @p522 @p508 @p465) :args ((@list true false false false false) (@list @t265 @t287 @t280 @t255 @t294))) 0.45/0.68 (step @p537 :rule refl :args (@t302)) 0.45/0.68 (step @p538 :rule bool-double-not-elim :args (@t290)) 0.45/0.68 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or (not @t291) @t302))) 0.45/0.68 (assume-push @p573 @t291) 0.45/0.68 (step @p541 :rule skolemize :premises (@p573)) 0.45/0.68 (step-pop @p573 :rule scope :premises (@p541)) 0.45/0.68 (step @p542 :rule process_scope :premises (@p573) :args (@t302)) 0.45/0.68 (step @p544 :rule implies_elim :premises (@p542)) 0.45/0.68 (step @p545 :rule eq_resolve :premises (@p544 @p539)) 0.45/0.68 (step @p546 :rule chain_resolution :premises (@p545 @p536) :args (@t270 (@list @t290))) 0.45/0.68 (step @p547 :rule cnf_or_neg :args (@t301 2)) 0.45/0.68 (step @p548 :rule chain_resolution :premises (@p547 @p546) :args (@t270 @t303)) 0.45/0.68 (step @p549 :rule bool-double-not-elim :args (@t297)) 0.45/0.68 (step @p550 :rule refl :args (@t301)) 0.45/0.68 (step @p551 :rule nary_cong :premises (@p550 @p549) :args ((or @t301 (not @t298)))) 0.45/0.68 (step @p552 :rule cnf_or_neg :args (@t301 1)) 0.45/0.68 (step @p553 :rule eq_resolve :premises (@p552 @p551)) 0.45/0.68 (step @p554 :rule reordering :premises (@p553) :args ((or @t297 @t301))) 0.45/0.68 (step @p555 :rule chain_resolution :premises (@p554 @p546) :args (@t270 @t303)) 0.45/0.68 (step @p556 :rule bool-double-not-elim :args (@t299)) 0.45/0.68 (step @p557 :rule nary_cong :premises (@p550 @p556) :args ((or @t301 (not @t300)))) 0.45/0.68 (step @p558 :rule cnf_or_neg :args (@t301 0)) 0.45/0.68 (step @p559 :rule eq_resolve :premises (@p558 @p557)) 0.45/0.68 (step @p560 :rule reordering :premises (@p559) :args ((or @t299 @t301))) 0.45/0.68 (step @p561 :rule chain_resolution :premises (@p560 @p546) :args (@t270 @t303)) 0.45/0.68 (step @p562 :rule cnf_or_pos :args (@t304)) 0.45/0.68 (step @p563 :rule reordering :premises (@p562) :args ((or @t268 @t267 @t300 @t298 @t296 (not @t304)))) 0.45/0.68 (step @p564 :rule chain_resolution :premises (@p563 @p486 @p492 @p561 @p555 @p548) :args ((@list false false false false true) (@list @t264 @t266 @t299 @t297 @t296))) 0.45/0.68 (assume-push @p575 @t305) 0.45/0.68 (step @p566 :rule instantiate :premises (@p463) :args ((@list @t245 @t247 @t244 @t295))) 0.45/0.68 (step-pop @p575 :rule scope :premises (@p566)) 0.45/0.68 (step @p567 :rule process_scope :premises (@p575) :args (@t304)) 0.45/0.68 (step @p569 :rule implies_elim :premises (@p567)) 0.45/0.68 (step @p570 false :rule chain_resolution :premises (@p569 @p564 @p463) :args ((@list true false) (@list @t304 @t305))) 0.45/0.68 ) 0.45/0.68 % SZS output end Proof 0.45/0.68 % cvc5 exiting 0.45/0.68 EOF