%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU367+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:51:32 AM UTC 2026 % Result : Theorem 38.72s 39.01s % Output : Proof 38.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU367+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:03:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 38.72/39.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 38.72/39.01 --- Run --no-e-matching --full-saturate-quant at 6... % 38.72/39.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 38.72/39.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 38.72/39.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.72/39.01 % SZS status Theorem % 38.72/39.01 % SZS output start Proof % 38.72/39.01 ( % 38.72/39.01 (declare-sort $$unsorted 0) % 38.72/39.01 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 38.72/39.01 (declare-const tptp.empty_set $$unsorted) % 38.72/39.01 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 38.72/39.01 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 38.72/39.01 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 38.72/39.01 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.finite (-> $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.relation (-> $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 38.72/39.01 (declare-const tptp.is_often_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.function (-> $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 38.72/39.01 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 38.72/39.01 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.empty (-> $$unsorted Bool)) % 38.72/39.01 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 38.72/39.01 (define @t1 () (@var "A" $$unsorted)) % 38.72/39.01 (define @t2 () (@var "B" $$unsorted)) % 38.72/39.01 (define @t3 () (tptp.in @t1 @t2)) % 38.72/39.01 (define @t4 () (@list @t1 @t2)) % 38.72/39.01 (define @t5 () (tptp.finite @t1)) % 38.72/39.01 (define @t6 () (tptp.empty @t1)) % 38.72/39.01 (define @t7 () (@list @t1)) % 38.72/39.01 (define @t8 () (@var "C" $$unsorted)) % 38.72/39.01 (define @t9 () (tptp.cartesian_product2 @t1 @t2)) % 38.72/39.01 (define @t10 () (tptp.element @t8 (tptp.powerset @t9))) % 38.72/39.01 (define @t11 () (@list @t1 @t2 @t8)) % 38.72/39.01 (define @t12 () (tptp.finite @t2)) % 38.72/39.01 (define @t13 () (tptp.powerset @t1)) % 38.72/39.01 (define @t14 () (tptp.element @t2 @t13)) % 38.72/39.01 (define @t15 () (@list @t2)) % 38.72/39.01 (define @t16 () (@var "E" $$unsorted)) % 38.72/39.01 (define @t17 () (tptp.apply_netmap @t1 @t2 @t16)) % 38.72/39.01 (define @t18 () (tptp.in @t17 @t8)) % 38.72/39.01 (define @t19 () (@var "D" $$unsorted)) % 38.72/39.01 (define @t20 () (tptp.related @t2 @t19 @t16)) % 38.72/39.01 (define @t21 () (=> @t20 @t18)) % 38.72/39.01 (define @t22 () (tptp.the_carrier @t2)) % 38.72/39.01 (define @t23 () (tptp.element @t16 @t22)) % 38.72/39.01 (define @t24 () (@list @t16)) % 38.72/39.01 (define @t25 () (forall @t24 (=> @t23 @t21))) % 38.72/39.01 (define @t26 () (tptp.element @t19 @t22)) % 38.72/39.01 (define @t27 () (and @t26 @t25)) % 38.72/39.01 (define @t28 () (@list @t19)) % 38.72/39.01 (define @t29 () (exists @t28 @t27)) % 38.72/39.01 (define @t30 () (tptp.is_eventually_in @t1 @t2 @t8)) % 38.72/39.01 (define @t31 () (= @t30 @t29)) % 38.72/39.01 (define @t32 () (@list @t8)) % 38.72/39.01 (define @t33 () (forall @t32 @t31)) % 38.72/39.01 (define @t34 () (tptp.net_str @t2 @t1)) % 38.72/39.01 (define @t35 () (tptp.empty_carrier @t2)) % 38.72/39.01 (define @t36 () (not @t35)) % 38.72/39.01 (define @t37 () (and @t36 @t34)) % 38.72/39.01 (define @t38 () (=> @t37 @t33)) % 38.72/39.01 (define @t39 () (forall @t15 @t38)) % 38.72/39.01 (define @t40 () (tptp.one_sorted_str @t1)) % 38.72/39.01 (define @t41 () (tptp.empty_carrier @t1)) % 38.72/39.01 (define @t42 () (not @t41)) % 38.72/39.01 (define @t43 () (and @t42 @t40)) % 38.72/39.01 (define @t44 () (=> @t43 @t39)) % 38.72/39.01 (define @t45 () (forall @t7 @t44)) % 38.72/39.01 (define @t46 () (and @t23 @t20 @t18)) % 38.72/39.01 (define @t47 () (exists @t24 @t46)) % 38.72/39.01 (define @t48 () (=> @t26 @t47)) % 38.72/39.01 (define @t49 () (forall @t28 @t48)) % 38.72/39.01 (define @t50 () (tptp.is_often_in @t1 @t2 @t8)) % 38.72/39.01 (define @t51 () (= @t50 @t49)) % 38.72/39.01 (define @t52 () (forall @t32 @t51)) % 38.72/39.01 (define @t53 () (=> @t37 @t52)) % 38.72/39.01 (define @t54 () (forall @t15 @t53)) % 38.72/39.01 (define @t55 () (=> @t43 @t54)) % 38.72/39.01 (define @t56 () (forall @t7 @t55)) % 38.72/39.01 (define @t57 () (tptp.the_mapping @t1 @t2)) % 38.72/39.01 (define @t58 () (tptp.apply_netmap @t1 @t2 @t8)) % 38.72/39.01 (define @t59 () (tptp.element @t8 @t22)) % 38.72/39.01 (define @t60 () (tptp.apply_on_structs @t1 @t2 @t8 @t19)) % 38.72/39.01 (define @t61 () (tptp.the_carrier @t1)) % 38.72/39.01 (define @t62 () (and @t42 @t40 @t36 (tptp.one_sorted_str @t2) (tptp.function @t8) (tptp.quasi_total @t8 @t61 @t22) (tptp.relation_of2 @t8 @t61 @t22) (tptp.element @t19 @t61))) % 38.72/39.01 (define @t63 () (@list @t1 @t2 @t8 @t19)) % 38.72/39.01 (define @t64 () (tptp.rel_str @t1)) % 38.72/39.01 (define @t65 () (tptp.relation_of2_as_subset @t8 @t1 @t2)) % 38.72/39.01 (define @t66 () (tptp.relation_of2 @t8 @t1 @t2)) % 38.72/39.01 (define @t67 () (tptp.empty @t2)) % 38.72/39.01 (define @t68 () (not @t67)) % 38.72/39.01 (define @t69 () (not @t6)) % 38.72/39.01 (define @t70 () (tptp.element @t1 @t2)) % 38.72/39.01 (define @t71 () (or @t67 @t3)) % 38.72/39.01 (define @t72 () (forall @t4 (=> @t70 @t71))) % 38.72/39.01 (define @t73 () (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 38.72/39.01 (define @t74 () (tptp.element @t1 @t8)) % 38.72/39.01 (define @t75 () (tptp.element @t2 (tptp.powerset @t8))) % 38.72/39.01 (define @t76 () (and @t3 @t75)) % 38.72/39.01 (define @t77 () (forall @t11 (=> @t76 @t74))) % 38.72/39.01 (define @t78 () (tptp.empty @t8)) % 38.72/39.01 (define @t79 () (forall @t11 (not (and @t3 @t75 @t78)))) % 38.72/39.01 (define @t80 () (tptp.is_often_in @t1 @t2 @t19)) % 38.72/39.01 (define @t81 () (tptp.is_eventually_in @t1 @t2 @t19)) % 38.72/39.01 (define @t82 () (and (=> @t30 @t81) (=> @t50 @t80))) % 38.72/39.01 (define @t83 () (tptp.subset @t8 @t19)) % 38.72/39.01 (define @t84 () (@list @t8 @t19)) % 38.72/39.01 (define @t85 () (forall @t84 (=> @t83 @t82))) % 38.72/39.01 (define @t86 () (=> @t37 @t85)) % 38.72/39.01 (define @t87 () (forall @t15 @t86)) % 38.72/39.01 (define @t88 () (=> @t43 @t87)) % 38.72/39.01 (define @t89 () (forall @t7 @t88)) % 38.72/39.01 (define @t90 () (not @t89)) % 38.72/39.01 (define @t91 () (not @t78)) % 38.72/39.01 (define @t92 () (not @t75)) % 38.72/39.01 (define @t93 () (not @t3)) % 38.72/39.01 (define @t94 () (or @t93 @t92 @t91)) % 38.72/39.01 (define @t95 () (@var "BOUND_VARIABLE_7809" $$unsorted)) % 38.72/39.01 (define @t96 () (@var "BOUND_VARIABLE_7807" $$unsorted)) % 38.72/39.01 (define @t97 () (tptp.the_carrier @t96)) % 38.72/39.01 (define @t98 () (= (tptp.is_often_in @t1 @t96 @t95) (forall @t28 (or (not (tptp.element @t19 @t97)) (not (forall @t24 (or (not (tptp.element @t16 @t97)) (not (tptp.related @t96 @t19 @t16)) (not (tptp.in (tptp.apply_netmap @t1 @t96 @t16) @t95))))))))) % 38.72/39.01 (define @t99 () (not (tptp.net_str @t96 @t1))) % 38.72/39.01 (define @t100 () (tptp.empty_carrier @t96)) % 38.72/39.01 (define @t101 () (not @t40)) % 38.72/39.01 (define @t102 () (or @t100 @t99 @t98)) % 38.72/39.01 (define @t103 () (or @t41 @t101 @t102)) % 38.72/39.01 (define @t104 () (forall (@list @t1 @t96 @t95) @t103)) % 38.72/39.01 (define @t105 () (@list @t96 @t95)) % 38.72/39.01 (define @t106 () (forall @t105 @t103)) % 38.72/39.01 (define @t107 () (forall @t105 @t102)) % 38.72/39.01 (define @t108 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 38.72/39.01 (define @t109 () (or @t41 @t101 @t107)) % 38.72/39.01 (define @t110 () (not @t20)) % 38.72/39.01 (define @t111 () (not @t23)) % 38.72/39.01 (define @t112 () (not @t26)) % 38.72/39.01 (define @t113 () (= (tptp.is_often_in @t1 @t2 @t108) (forall @t28 (or @t112 (not (forall @t24 (or @t111 @t110 (not (tptp.in @t17 @t108))))))))) % 38.72/39.01 (define @t114 () (not @t34)) % 38.72/39.01 (define @t115 () (or @t35 @t114 @t113)) % 38.72/39.01 (define @t116 () (forall (@list @t2 @t108) @t115)) % 38.72/39.01 (define @t117 () (or @t41 @t101 @t116)) % 38.72/39.01 (define @t118 () (or @t41 @t101)) % 38.72/39.01 (define @t119 () (not @t43)) % 38.72/39.01 (define @t120 () (@list @t108)) % 38.72/39.01 (define @t121 () (forall @t120 @t115)) % 38.72/39.01 (define @t122 () (forall @t120 @t113)) % 38.72/39.01 (define @t123 () (@list @t8)) % 38.72/39.01 (define @t124 () (or @t35 @t114 @t122)) % 38.72/39.01 (define @t125 () (not @t18)) % 38.72/39.01 (define @t126 () (or @t111 @t110 @t125)) % 38.72/39.01 (define @t127 () (not (forall @t24 @t126))) % 38.72/39.01 (define @t128 () (forall @t32 (= @t50 (forall @t28 (or @t112 @t127))))) % 38.72/39.01 (define @t129 () (or @t35 @t114 @t128)) % 38.72/39.01 (define @t130 () (or @t35 @t114)) % 38.72/39.01 (define @t131 () (not @t37)) % 38.72/39.01 (define @t132 () (forall @t24 (not @t46))) % 38.72/39.01 (define @t133 () (not @t132)) % 38.72/39.01 (define @t134 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 38.72/39.01 (define @t135 () (@var "BOUND_VARIABLE_8103" $$unsorted)) % 38.72/39.01 (define @t136 () (@var "BOUND_VARIABLE_8105" $$unsorted)) % 38.72/39.01 (define @t137 () (and (or (not (tptp.is_eventually_in @t1 @t135 @t136)) (tptp.is_eventually_in @t1 @t135 @t134)) (or (not (tptp.is_often_in @t1 @t135 @t136)) (tptp.is_often_in @t1 @t135 @t134)))) % 38.72/39.01 (define @t138 () (not (tptp.subset @t136 @t134))) % 38.72/39.01 (define @t139 () (not (tptp.net_str @t135 @t1))) % 38.72/39.01 (define @t140 () (tptp.empty_carrier @t135)) % 38.72/39.01 (define @t141 () (or @t41 @t101 @t140 @t139 @t138 @t137)) % 38.72/39.01 (define @t142 () (@list @t1 @t135 @t136 @t134)) % 38.72/39.01 (define @t143 () (forall @t142 @t141)) % 38.72/39.01 (define @t144 () (@quantifiers_skolemize @t143 2)) % 38.72/39.01 (define @t145 () (@quantifiers_skolemize @t143 1)) % 38.72/39.01 (define @t146 () (@quantifiers_skolemize @t143 0)) % 38.72/39.01 (define @t147 () (@list @t146 @t145 @t144)) % 38.72/39.01 (define @t148 () (or @t140 @t139 @t138 @t137)) % 38.72/39.01 (define @t149 () (or @t41 @t101 @t148)) % 38.72/39.01 (define @t150 () (forall @t142 @t149)) % 38.72/39.01 (define @t151 () (@list @t135 @t136 @t134)) % 38.72/39.01 (define @t152 () (forall @t151 @t149)) % 38.72/39.01 (define @t153 () (forall @t151 @t148)) % 38.72/39.01 (define @t154 () (@var "BOUND_VARIABLE_8080" $$unsorted)) % 38.72/39.01 (define @t155 () (@var "BOUND_VARIABLE_8078" $$unsorted)) % 38.72/39.01 (define @t156 () (or @t41 @t101 @t153)) % 38.72/39.01 (define @t157 () (and (or (not (tptp.is_eventually_in @t1 @t2 @t155)) (tptp.is_eventually_in @t1 @t2 @t154)) (or (not (tptp.is_often_in @t1 @t2 @t155)) (tptp.is_often_in @t1 @t2 @t154)))) % 38.72/39.01 (define @t158 () (not (tptp.subset @t155 @t154))) % 38.72/39.01 (define @t159 () (or @t35 @t114 @t158 @t157)) % 38.72/39.01 (define @t160 () (@list @t2 @t155 @t154)) % 38.72/39.01 (define @t161 () (forall @t160 @t159)) % 38.72/39.01 (define @t162 () (or @t41 @t101 @t161)) % 38.72/39.01 (define @t163 () (or @t158 @t157)) % 38.72/39.01 (define @t164 () (or @t35 @t114 @t163)) % 38.72/39.01 (define @t165 () (forall @t160 @t164)) % 38.72/39.01 (define @t166 () (@list @t155 @t154)) % 38.72/39.01 (define @t167 () (forall @t166 @t164)) % 38.72/39.01 (define @t168 () (forall @t166 @t163)) % 38.72/39.01 (define @t169 () (or @t35 @t114 @t168)) % 38.72/39.01 (define @t170 () (not @t83)) % 38.72/39.01 (define @t171 () (forall @t84 (or @t170 (and (or (not @t30) @t81) (or (not @t50) @t80))))) % 38.72/39.01 (define @t172 () (or @t35 @t114 @t171)) % 38.72/39.01 (define @t173 () (tptp.net_str @t145 @t146)) % 38.72/39.01 (define @t174 () (@quantifiers_skolemize @t143 3)) % 38.72/39.01 (define @t175 () (tptp.is_often_in @t146 @t145 @t174)) % 38.72/39.01 (define @t176 () (tptp.is_often_in @t146 @t145 @t144)) % 38.72/39.01 (define @t177 () (not @t176)) % 38.72/39.01 (define @t178 () (or @t177 @t175)) % 38.72/39.01 (define @t179 () (tptp.is_eventually_in @t146 @t145 @t174)) % 38.72/39.01 (define @t180 () (tptp.is_eventually_in @t146 @t145 @t144)) % 38.72/39.01 (define @t181 () (not @t180)) % 38.72/39.01 (define @t182 () (or @t181 @t179)) % 38.72/39.01 (define @t183 () (and @t182 @t178)) % 38.72/39.01 (define @t184 () (tptp.subset @t144 @t174)) % 38.72/39.01 (define @t185 () (not @t184)) % 38.72/39.01 (define @t186 () (not @t173)) % 38.72/39.01 (define @t187 () (tptp.empty_carrier @t145)) % 38.72/39.01 (define @t188 () (tptp.one_sorted_str @t146)) % 38.72/39.01 (define @t189 () (not @t188)) % 38.72/39.01 (define @t190 () (tptp.empty_carrier @t146)) % 38.72/39.01 (define @t191 () (or @t190 @t189 @t187 @t186 @t185 @t183)) % 38.72/39.01 (define @t192 () (@list true)) % 38.72/39.01 (define @t193 () (@list @t191)) % 38.72/39.01 (define @t194 () (tptp.apply_netmap @t146 @t145 @t16)) % 38.72/39.01 (define @t195 () (tptp.in @t194 @t144)) % 38.72/39.01 (define @t196 () (not @t195)) % 38.72/39.01 (define @t197 () (not (tptp.related @t145 @t19 @t16))) % 38.72/39.01 (define @t198 () (tptp.the_carrier @t145)) % 38.72/39.01 (define @t199 () (not (tptp.element @t16 @t198))) % 38.72/39.01 (define @t200 () (not (tptp.element @t19 @t198))) % 38.72/39.01 (define @t201 () (forall @t28 (or @t200 (not (forall @t24 (or @t199 @t197 @t196)))))) % 38.72/39.01 (define @t202 () (= @t176 @t201)) % 38.72/39.01 (define @t203 () (or @t190 @t189 @t187 @t186 @t202)) % 38.72/39.01 (define @t204 () (@list true false true false false)) % 38.72/39.01 (define @t205 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 38.72/39.01 (define @t206 () (@var "BOUND_VARIABLE_7741" $$unsorted)) % 38.72/39.01 (define @t207 () (tptp.the_carrier @t206)) % 38.72/39.01 (define @t208 () (= (tptp.is_eventually_in @t1 @t206 @t205) (not (forall @t28 (or (not (tptp.element @t19 @t207)) (not (forall @t24 (or (not (tptp.element @t16 @t207)) (not (tptp.related @t206 @t19 @t16)) (tptp.in (tptp.apply_netmap @t1 @t206 @t16) @t205))))))))) % 38.72/39.01 (define @t209 () (not (tptp.net_str @t206 @t1))) % 38.72/39.01 (define @t210 () (tptp.empty_carrier @t206)) % 38.72/39.01 (define @t211 () (or @t210 @t209 @t208)) % 38.72/39.01 (define @t212 () (or @t41 @t101 @t211)) % 38.72/39.01 (define @t213 () (forall (@list @t1 @t206 @t205) @t212)) % 38.72/39.01 (define @t214 () (@list @t206 @t205)) % 38.72/39.01 (define @t215 () (forall @t214 @t212)) % 38.72/39.01 (define @t216 () (forall @t214 @t211)) % 38.72/39.01 (define @t217 () (@var "BOUND_VARIABLE_7720" $$unsorted)) % 38.72/39.01 (define @t218 () (or @t41 @t101 @t216)) % 38.72/39.01 (define @t219 () (= (tptp.is_eventually_in @t1 @t2 @t217) (not (forall @t28 (or @t112 (not (forall @t24 (or @t111 @t110 (tptp.in @t17 @t217))))))))) % 38.72/39.01 (define @t220 () (or @t35 @t114 @t219)) % 38.72/39.01 (define @t221 () (forall (@list @t2 @t217) @t220)) % 38.72/39.01 (define @t222 () (or @t41 @t101 @t221)) % 38.72/39.01 (define @t223 () (@list @t217)) % 38.72/39.01 (define @t224 () (forall @t223 @t220)) % 38.72/39.01 (define @t225 () (forall @t223 @t219)) % 38.72/39.01 (define @t226 () (or @t35 @t114 @t225)) % 38.72/39.01 (define @t227 () (or @t111 @t110 @t18)) % 38.72/39.01 (define @t228 () (forall @t24 @t227)) % 38.72/39.01 (define @t229 () (forall @t32 (= @t30 (not (forall @t28 (or @t112 (not @t228))))))) % 38.72/39.01 (define @t230 () (or @t35 @t114 @t229)) % 38.72/39.01 (define @t231 () (and @t26 @t228)) % 38.72/39.01 (define @t232 () (forall @t28 (not @t231))) % 38.72/39.01 (define @t233 () (not @t232)) % 38.72/39.01 (define @t234 () (forall @t28 (or @t200 (not (forall @t24 (or @t199 @t197 @t195)))))) % 38.72/39.01 (define @t235 () (not @t234)) % 38.72/39.01 (define @t236 () (= @t180 @t235)) % 38.72/39.01 (define @t237 () (or @t190 @t189 @t187 @t186 @t236)) % 38.72/39.01 (define @t238 () (@quantifiers_skolemize @t234 0)) % 38.72/39.01 (define @t239 () (tptp.element @t238 @t198)) % 38.72/39.01 (define @t240 () (not (tptp.related @t145 @t238 @t16))) % 38.72/39.01 (define @t241 () (forall @t24 (or @t199 @t240 @t195))) % 38.72/39.01 (define @t242 () (not @t241)) % 38.72/39.01 (define @t243 () (not @t239)) % 38.72/39.01 (define @t244 () (or @t243 @t242)) % 38.72/39.01 (define @t245 () (tptp.in @t194 @t174)) % 38.72/39.01 (define @t246 () (forall @t24 (or @t199 @t240 @t245))) % 38.72/39.01 (define @t247 () (@quantifiers_skolemize @t246 0)) % 38.72/39.01 (define @t248 () (tptp.apply_netmap @t146 @t145 @t247)) % 38.72/39.01 (define @t249 () (tptp.in @t248 @t144)) % 38.72/39.01 (define @t250 () (tptp.related @t145 @t238 @t247)) % 38.72/39.01 (define @t251 () (not @t250)) % 38.72/39.01 (define @t252 () (tptp.element @t247 @t198)) % 38.72/39.01 (define @t253 () (not @t252)) % 38.72/39.01 (define @t254 () (or @t253 @t251 @t249)) % 38.72/39.01 (define @t255 () (tptp.in @t248 @t174)) % 38.72/39.01 (define @t256 () (or @t253 @t251 @t255)) % 38.72/39.01 (define @t257 () (not @t254)) % 38.72/39.01 (define @t258 () (tptp.element @t144 (tptp.powerset @t174))) % 38.72/39.01 (define @t259 () (= @t258 @t184)) % 38.72/39.01 (define @t260 () (= @t184 @t258)) % 38.72/39.01 (define @t261 () (@list false)) % 38.72/39.01 (define @t262 () (@list false false)) % 38.72/39.01 (define @t263 () (@list @t248 @t144 @t174)) % 38.72/39.01 (define @t264 () (tptp.element @t248 @t174)) % 38.72/39.01 (define @t265 () (not @t258)) % 38.72/39.01 (define @t266 () (not @t249)) % 38.72/39.01 (define @t267 () (or @t266 @t265 @t264)) % 38.72/39.01 (define @t268 () (tptp.empty @t174)) % 38.72/39.01 (define @t269 () (not @t268)) % 38.72/39.01 (define @t270 () (or @t266 @t265 @t269)) % 38.72/39.01 (define @t271 () (not @t70)) % 38.72/39.01 (define @t272 () (not @t264)) % 38.72/39.01 (define @t273 () (or @t272 @t268 @t255)) % 38.72/39.01 (define @t274 () (not @t256)) % 38.72/39.01 (define @t275 () (not @t246)) % 38.72/39.01 (define @t276 () (or @t243 @t275)) % 38.72/39.01 (define @t277 () (forall @t28 (or @t200 (not (forall @t24 (or @t199 @t197 @t245)))))) % 38.72/39.01 (define @t278 () (@list @t238)) % 38.72/39.01 (define @t279 () (@list @t146 @t145 @t174)) % 38.72/39.01 (define @t280 () (not @t277)) % 38.72/39.01 (define @t281 () (= @t179 @t280)) % 38.72/39.01 (define @t282 () (or @t190 @t189 @t187 @t186 @t281)) % 38.72/39.01 (define @t283 () (not @t281)) % 38.72/39.01 (define @t284 () (not @t245)) % 38.72/39.01 (define @t285 () (forall @t28 (or @t200 (not (forall @t24 (or @t199 @t197 @t284)))))) % 38.72/39.01 (define @t286 () (= @t175 @t285)) % 38.72/39.01 (define @t287 () (or @t190 @t189 @t187 @t186 @t286)) % 38.72/39.01 (define @t288 () (not @t285)) % 38.72/39.01 (define @t289 () (forall @t24 (or @t199 @t240 @t196))) % 38.72/39.01 (define @t290 () (not @t289)) % 38.72/39.01 (define @t291 () (or @t243 @t290)) % 38.72/39.01 (define @t292 () (@quantifiers_skolemize @t285 0)) % 38.72/39.01 (define @t293 () (not (tptp.related @t145 @t292 @t16))) % 38.72/39.01 (define @t294 () (forall @t24 (or @t199 @t293 @t196))) % 38.72/39.01 (define @t295 () (not @t294)) % 38.72/39.01 (define @t296 () (tptp.element @t292 @t198)) % 38.72/39.01 (define @t297 () (not @t296)) % 38.72/39.01 (define @t298 () (or @t297 @t295)) % 38.72/39.01 (define @t299 () (forall @t24 (or @t199 @t293 @t284))) % 38.72/39.01 (define @t300 () (not @t299)) % 38.72/39.01 (define @t301 () (or @t297 @t300)) % 38.72/39.01 (define @t302 () (not @t301)) % 38.72/39.01 (define @t303 () (@quantifiers_skolemize @t289 0)) % 38.72/39.01 (define @t304 () (tptp.apply_netmap @t146 @t145 @t303)) % 38.72/39.01 (define @t305 () (tptp.in @t304 @t144)) % 38.72/39.01 (define @t306 () (not @t305)) % 38.72/39.01 (define @t307 () (or (not (tptp.element @t303 @t198)) (not (tptp.related @t145 @t238 @t303)) @t306)) % 38.72/39.01 (define @t308 () (not @t307)) % 38.72/39.01 (define @t309 () (@quantifiers_skolemize @t294 0)) % 38.72/39.01 (define @t310 () (tptp.apply_netmap @t146 @t145 @t309)) % 38.72/39.01 (define @t311 () (tptp.in @t310 @t174)) % 38.72/39.01 (define @t312 () (not @t311)) % 38.72/39.01 (define @t313 () (tptp.related @t145 @t292 @t309)) % 38.72/39.01 (define @t314 () (not @t313)) % 38.72/39.01 (define @t315 () (tptp.element @t309 @t198)) % 38.72/39.01 (define @t316 () (not @t315)) % 38.72/39.01 (define @t317 () (or @t316 @t314 @t312)) % 38.72/39.01 (define @t318 () (tptp.in @t310 @t144)) % 38.72/39.01 (define @t319 () (not @t318)) % 38.72/39.01 (define @t320 () (or @t316 @t314 @t319)) % 38.72/39.01 (define @t321 () (not @t320)) % 38.72/39.01 (define @t322 () (or @t306 @t265 @t269)) % 38.72/39.01 (define @t323 () (@list @t310 @t144 @t174)) % 38.72/39.01 (define @t324 () (tptp.element @t310 @t174)) % 38.72/39.01 (define @t325 () (or @t319 @t265 @t324)) % 38.72/39.01 (define @t326 () (not @t324)) % 38.72/39.01 (define @t327 () (or @t326 @t268 @t311)) % 38.72/39.01 (define @t328 () (not @t244)) % 38.72/39.01 (define @t329 () (@list true false)) % 38.72/39.01 (define @t330 () (@list @t178)) % 38.72/39.01 (define @t331 () (@list @t301)) % 38.72/39.01 (define @t332 () (@list @t320)) % 38.72/39.01 (define @t333 () (@list false false false)) % 38.72/39.01 (define @t334 () (or @t319 @t265 @t269)) % 38.72/39.01 (define @t335 () (not @t334)) % 38.72/39.01 (define @t336 () (forall @t11 @t94)) % 38.72/39.01 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 38.72/39.01 (assume @p2 (forall @t7 (=> @t6 @t5))) % 38.72/39.01 (assume @p3 (forall @t11 (=> @t10 (tptp.relation @t8)))) % 38.72/39.01 (assume @p4 (forall @t7 (=> @t5 (forall @t15 (=> @t14 @t12))))) % 38.72/39.01 (assume @p5 @t45) % 38.72/39.01 (assume @p6 @t56) % 38.72/39.01 (assume @p7 (forall @t7 (=> @t43 (forall @t15 (=> @t37 (forall @t32 (=> @t59 (= @t58 (tptp.apply_on_structs @t2 @t1 @t57 @t8))))))))) % 38.72/39.01 (assume @p8 true) % 38.72/39.01 (assume @p9 (forall @t63 (=> @t62 (tptp.element @t60 @t22)))) % 38.72/39.01 (assume @p10 (forall @t11 (=> (and @t42 @t40 @t36 @t34 @t59) (tptp.element @t58 @t61)))) % 38.72/39.01 (assume @p11 (forall @t7 (=> @t64 @t40))) % 38.72/39.01 (assume @p12 (forall @t7 (=> @t40 (forall @t15 (=> @t34 (tptp.rel_str @t2)))))) % 38.72/39.01 (assume @p13 (forall @t11 (=> @t65 @t10))) % 38.72/39.01 (assume @p14 (forall @t4 (=> (and @t40 @t34) (and (tptp.function @t57) (tptp.quasi_total @t57 @t22 @t61) (tptp.relation_of2_as_subset @t57 @t22 @t61))))) % 38.72/39.01 (assume @p15 (exists @t7 @t64)) % 38.72/39.01 (assume @p16 (exists @t7 @t40)) % 38.72/39.01 (assume @p17 (forall @t7 (=> @t40 (exists @t15 @t34)))) % 38.72/39.01 (assume @p18 (forall @t4 (exists @t32 @t66))) % 38.72/39.01 (assume @p19 (forall @t7 (exists @t15 (tptp.element @t2 @t1)))) % 38.72/39.01 (assume @p20 (forall @t4 (exists @t32 @t65))) % 38.72/39.01 (assume @p21 (forall @t4 (=> (and @t5 @t12) (tptp.finite @t9)))) % 38.72/39.01 (assume @p22 (forall @t7 (=> @t43 (not (tptp.empty @t61))))) % 38.72/39.01 (assume @p23 (forall @t7 (not (tptp.empty @t13)))) % 38.72/39.01 (assume @p24 (tptp.empty tptp.empty_set)) % 38.72/39.01 (assume @p25 (forall @t4 (=> (and @t69 @t68) (not (tptp.empty @t9))))) % 38.72/39.01 (assume @p26 (exists @t7 (and @t69 @t5))) % 38.72/39.01 (assume @p27 (forall @t7 (=> @t69 (exists @t15 (and @t14 @t68))))) % 38.72/39.01 (assume @p28 (exists @t7 @t6)) % 38.72/39.01 (assume @p29 (forall @t7 (exists @t15 (and @t14 @t67)))) % 38.72/39.01 (assume @p30 (exists @t7 @t69)) % 38.72/39.01 (assume @p31 (forall @t7 (=> @t69 (exists @t15 (and @t14 @t68 @t12))))) % 38.72/39.01 (assume @p32 (exists @t7 (and @t40 @t42))) % 38.72/39.01 (assume @p33 (forall @t7 (=> @t43 (exists @t15 (and (tptp.element @t2 (tptp.powerset @t61)) @t68))))) % 38.72/39.01 (assume @p34 (forall @t63 (=> @t62 (= @t60 (tptp.apply @t8 @t19))))) % 38.72/39.01 (assume @p35 (forall @t11 (= @t65 @t66))) % 38.72/39.01 (assume @p36 (forall @t4 (tptp.subset @t1 @t1))) % 38.72/39.01 (assume @p37 (forall @t4 (=> @t3 @t70))) % 38.72/39.01 (assume @p38 @t72) % 38.72/39.01 (assume @p39 @t73) % 38.72/39.01 (assume @p40 @t77) % 38.72/39.01 (assume @p41 @t79) % 38.72/39.01 (assume @p42 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 38.72/39.01 (assume @p43 (forall @t4 (not (and @t3 @t67)))) % 38.72/39.01 (assume @p44 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t67)))) % 38.72/39.01 (assume @p45 @t90) % 38.72/39.01 (step @p46 :rule aci_norm :args ((= (or @t93 (or @t92 @t91)) @t94))) % 38.72/39.01 (step @p47 :rule bool-and-de-morgan :args (@t75 @t78 true)) % 38.72/39.01 (step @p48 :rule refl :args (@t93)) % 38.72/39.01 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t93 (not (and @t75 @t78))))) % 38.72/39.01 (step @p50 :rule bool-and-de-morgan :args (@t3 @t75 (and @t78))) % 38.72/39.01 (step @p51 :rule trans :premises (@p50 @p49)) % 38.72/39.01 (step @p52 :rule trans :premises (@p51 @p46)) % 38.72/39.01 (step @p53 :rule cong :premises (@p52) :args (@t79)) % 38.72/39.01 (step @p54 :rule eq_resolve :premises (@p41 @p53)) % 38.72/39.01 (step @p55 :rule aci_norm :args ((= @t103 (or @t41 @t101 @t100 @t99 @t98)))) % 38.72/39.01 (step @p56 :rule cong :premises (@p55) :args (@t104)) % 38.72/39.01 (step @p57 :rule quant-merge-prenex :args ((= (forall @t7 @t106) @t104))) % 38.72/39.01 (step @p58 :rule alpha_equiv :args (@t107 (@list @t96 @t95) (@list @t2 @t108))) % 38.72/39.01 (step @p59 :rule refl :args (@t101)) % 38.72/39.01 (step @p60 :rule refl :args (@t41)) % 38.72/39.01 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t109)) % 38.72/39.01 (step @p62 :rule quant-miniscope-or :args ((= @t106 @t109))) % 38.72/39.01 (step @p63 :rule trans :premises (@p62 @p61)) % 38.72/39.01 (step @p64 :rule symm :premises (@p63)) % 38.72/39.01 (step @p65 :rule cong :premises (@p64) :args ((forall @t7 @t117))) % 38.72/39.01 (step @p66 :rule trans :premises (@p65 @p57)) % 38.72/39.01 (step @p67 :rule trans :premises (@p66 @p56)) % 38.72/39.01 (step @p68 :rule aci_norm :args ((= (or @t118 @t116) @t117))) % 38.72/39.01 (step @p69 :rule refl :args (@t116)) % 38.72/39.01 (step @p70 :rule bool-double-not-elim :args (@t41)) % 38.72/39.01 (step @p71 :rule nary_cong :premises (@p70 @p59) :args ((or (not @t42) @t101))) % 38.72/39.01 (step @p72 :rule bool-and-de-morgan :args (@t42 @t40 true)) % 38.72/39.01 (step @p73 :rule trans :premises (@p72 @p71)) % 38.72/39.01 (step @p74 :rule nary_cong :premises (@p73 @p69) :args ((or @t119 @t116))) % 38.72/39.01 (step @p75 :rule trans :premises (@p74 @p68)) % 38.72/39.01 (step @p76 :rule bool-impl-elim :args (@t43 @t116)) % 38.72/39.01 (step @p77 :rule trans :premises (@p76 @p75)) % 38.72/39.01 (step @p78 :rule cong :premises (@p77) :args ((forall @t7 (=> @t43 @t116)))) % 38.72/39.01 (step @p79 :rule trans :premises (@p78 @p67)) % 38.72/39.01 (step @p80 :rule quant-merge-prenex :args ((= (forall @t15 @t121) @t116))) % 38.72/39.01 (step @p81 :rule alpha_equiv :args (@t122 (@list @t108) @t123)) % 38.72/39.01 (step @p82 :rule refl :args (@t114)) % 38.72/39.01 (step @p83 :rule refl :args (@t35)) % 38.72/39.01 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args (@t124)) % 38.72/39.01 (step @p85 :rule quant-miniscope-or :args ((= @t121 @t124))) % 38.72/39.01 (step @p86 :rule trans :premises (@p85 @p84)) % 38.72/39.01 (step @p87 :rule symm :premises (@p86)) % 38.72/39.01 (step @p88 :rule cong :premises (@p87) :args ((forall @t15 @t129))) % 38.72/39.01 (step @p89 :rule trans :premises (@p88 @p80)) % 38.72/39.01 (step @p90 :rule aci_norm :args ((= (or @t130 @t128) @t129))) % 38.72/39.01 (step @p91 :rule refl :args (@t128)) % 38.72/39.01 (step @p92 :rule bool-double-not-elim :args (@t35)) % 38.72/39.01 (step @p93 :rule nary_cong :premises (@p92 @p82) :args ((or (not @t36) @t114))) % 38.72/39.01 (step @p94 :rule bool-and-de-morgan :args (@t36 @t34 true)) % 38.72/39.01 (step @p95 :rule trans :premises (@p94 @p93)) % 38.72/39.01 (step @p96 :rule nary_cong :premises (@p95 @p91) :args ((or @t131 @t128))) % 38.72/39.01 (step @p97 :rule trans :premises (@p96 @p90)) % 38.72/39.01 (step @p98 :rule bool-impl-elim :args (@t37 @t128)) % 38.72/39.01 (step @p99 :rule trans :premises (@p98 @p97)) % 38.72/39.01 (step @p100 :rule cong :premises (@p99) :args ((forall @t15 (=> @t37 @t128)))) % 38.72/39.01 (step @p101 :rule trans :premises (@p100 @p89)) % 38.72/39.01 (step @p102 :rule bool-impl-elim :args (@t26 @t127)) % 38.72/39.01 (step @p103 :rule cong :premises (@p102) :args ((forall @t28 (=> @t26 @t127)))) % 38.72/39.01 (step @p104 :rule aci_norm :args ((= (or @t111 (or @t110 @t125)) @t126))) % 38.72/39.01 (step @p105 :rule bool-and-de-morgan :args (@t20 @t18 true)) % 38.72/39.01 (step @p106 :rule refl :args (@t111)) % 38.72/39.01 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t111 (not (and @t20 @t18))))) % 38.72/39.01 (step @p108 :rule bool-and-de-morgan :args (@t23 @t20 (and @t18))) % 38.72/39.01 (step @p109 :rule trans :premises (@p108 @p107)) % 38.72/39.01 (step @p110 :rule trans :premises (@p109 @p104)) % 38.72/39.01 (step @p111 :rule cong :premises (@p110) :args (@t132)) % 38.72/39.01 (step @p112 :rule cong :premises (@p111) :args (@t133)) % 38.72/39.01 (step @p113 :rule exists-elim :args ((= @t47 @t133))) % 38.72/39.01 (step @p114 :rule trans :premises (@p113 @p112)) % 38.72/39.01 (step @p115 :rule refl :args (@t26)) % 38.72/39.01 (step @p116 :rule cong :premises (@p115 @p114) :args (@t48)) % 38.72/39.01 (step @p117 :rule cong :premises (@p116) :args (@t49)) % 38.72/39.01 (step @p118 :rule trans :premises (@p117 @p103)) % 38.72/39.01 (step @p119 :rule refl :args (@t50)) % 38.72/39.01 (step @p120 :rule cong :premises (@p119 @p118) :args (@t51)) % 38.72/39.01 (step @p121 :rule cong :premises (@p120) :args (@t52)) % 38.72/39.01 (step @p122 :rule refl :args (@t37)) % 38.72/39.01 (step @p123 :rule cong :premises (@p122 @p121) :args (@t53)) % 38.72/39.01 (step @p124 :rule cong :premises (@p123) :args (@t54)) % 38.72/39.01 (step @p125 :rule trans :premises (@p124 @p101)) % 38.72/39.01 (step @p126 :rule refl :args (@t43)) % 38.72/39.01 (step @p127 :rule cong :premises (@p126 @p125) :args (@t55)) % 38.72/39.01 (step @p128 :rule cong :premises (@p127) :args (@t56)) % 38.72/39.01 (step @p129 :rule trans :premises (@p128 @p79)) % 38.72/39.01 (step @p130 :rule eq_resolve :premises (@p6 @p129)) % 38.72/39.01 (step @p131 :rule instantiate :premises (@p130) :args (@t147)) % 38.72/39.01 (step @p132 :rule aci_norm :args ((= @t149 @t141))) % 38.72/39.01 (step @p133 :rule 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:premises (@p333) :args ((or @t265 @t269 @t266 (not @t270)))) % 38.72/39.01 (step @p335 :rule aci_norm :args ((= (or @t271 @t71) (or @t271 @t67 @t3)))) % 38.72/39.01 (step @p336 :rule bool-impl-elim :args (@t70 @t71)) % 38.72/39.01 (step @p337 :rule trans :premises (@p336 @p335)) % 38.72/39.01 (step @p338 :rule cong :premises (@p337) :args (@t72)) % 38.72/39.01 (step @p339 :rule eq_resolve :premises (@p38 @p338)) % 38.72/39.01 (step @p340 :rule instantiate :premises (@p339) :args ((@list @t248 @t174))) % 38.72/39.01 (step @p341 :rule cnf_or_pos :args (@t273)) % 38.72/39.01 (step @p342 :rule reordering :premises (@p341) :args ((or @t255 @t268 @t272 (not @t273)))) % 38.72/39.01 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p334 @p332 @p319 @p331 @p329 @p319 @p300 @p298 @p297 @p292) :args ((or @t256 @t257) (@list false true false false false false false false true false false) (@list @t273 @t268 @t270 @t258 @t264 @t267 @t258 @t249 @t255 @t250 @t252))) % 38.72/39.01 (step @p344 :rule refl :args (@t274)) % 38.72/39.01 (step @p345 :rule bool-double-not-elim :args (@t246)) % 38.72/39.01 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or (not @t275) @t274))) % 38.72/39.01 (assume-push @p532 @t275) % 38.72/39.01 (step @p348 :rule skolemize :premises (@p532)) % 38.72/39.01 (step-pop @p533 :rule scope :premises (@p348)) % 38.72/39.01 (step @p349 :rule process_scope :premises (@p533) :args (@t274)) % 38.72/39.01 (step @p351 :rule implies_elim :premises (@p349)) % 38.72/39.01 (step @p352 :rule eq_resolve :premises (@p351 @p346)) % 38.72/39.01 (step @p353 :rule cnf_or_pos :args (@t276)) % 38.72/39.01 (step @p354 :rule reordering :premises (@p353) :args ((or @t243 @t275 (not @t276)))) % 38.72/39.01 (assume-push @p534 @t277) % 38.72/39.01 (step @p356 :rule instantiate :premises (@p534) :args (@t278)) % 38.72/39.01 (step-pop @p535 :rule scope :premises (@p356)) % 38.72/39.01 (step @p357 :rule process_scope :premises (@p535) :args (@t276)) % 38.72/39.01 (step @p359 :rule implies_elim :premises (@p357)) % 38.72/39.01 (step @p360 :rule instantiate :premises (@p266) :args (@t279)) % 38.72/39.01 (step @p361 :rule cnf_or_pos :args (@t282)) % 38.72/39.01 (step @p362 :rule reordering :premises (@p361) :args ((or @t190 @t189 @t187 @t186 @t281 (not @t282)))) % 38.72/39.01 (step @p363 :rule chain_m_resolution :premises (@p362 @p203 @p201 @p195 @p193 @p360) :args (@t281 @t204 (@list @t190 @t188 @t187 @t173 @t282))) % 38.72/39.01 (step @p364 :rule bool-double-not-elim :args (@t277)) % 38.72/39.01 (step @p365 :rule refl :args (@t179)) % 38.72/39.01 (step @p366 :rule refl :args (@t283)) % 38.72/39.01 (step @p367 :rule nary_cong :premises (@p366 @p365 @p364) :args ((or @t283 @t179 (not @t280)))) % 38.72/39.01 (step @p368 :rule cnf_equiv_pos2 :args (@t281)) % 38.72/39.01 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 38.72/39.01 (step @p370 :rule reordering :premises (@p369) :args ((or @t179 @t277 @t283))) % 38.72/39.01 (step @p371 :rule cnf_or_neg :args (@t182 1)) % 38.72/39.01 (step @p372 :rule cnf_or_neg :args (@t191 5)) % 38.72/39.01 (step @p373 :rule chain_m_resolution :premises (@p372 @p186) :args ((not @t183) @t192 @t193)) % 38.72/39.01 (step @p374 :rule cnf_and_neg :args (@t183)) % 38.72/39.01 (step @p375 :rule bool-double-not-elim :args (@t176)) % 38.72/39.01 (step @p376 :rule refl :args (@t178)) % 38.72/39.01 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or @t178 (not @t177)))) % 38.72/39.01 (step @p378 :rule cnf_or_neg :args (@t178 0)) % 38.72/39.01 (step @p379 :rule eq_resolve :premises (@p378 @p377)) % 38.72/39.01 (step @p380 :rule reordering :premises (@p379) :args ((or @t176 @t178))) % 38.72/39.01 (step @p381 :rule cnf_or_neg :args (@t178 1)) % 38.72/39.01 (step @p382 :rule cnf_equiv_pos1 :args (@t202)) % 38.72/39.01 (step @p383 :rule reordering :premises (@p382) :args ((or @t177 @t201 (not @t202)))) % 38.72/39.01 (step @p384 :rule instantiate :premises (@p130) :args (@t279)) % 38.72/39.01 (step @p385 :rule cnf_or_pos :args (@t287)) % 38.72/39.01 (step @p386 :rule reordering :premises (@p385) :args ((or @t190 @t189 @t187 @t186 @t286 (not @t287)))) % 38.72/39.01 (step @p387 :rule chain_m_resolution :premises (@p386 @p203 @p201 @p195 @p193 @p384) :args (@t286 @t204 (@list @t190 @t188 @t187 @t173 @t287))) % 38.72/39.01 (step @p388 :rule cnf_equiv_pos2 :args (@t286)) % 38.72/39.01 (step @p389 :rule reordering :premises (@p388) :args ((or @t175 @t288 (not @t286)))) % 38.72/39.01 (assume-push @p536 @t201) % 38.72/39.01 (step @p391 :rule instantiate :premises (@p536) :args (@t278)) % 38.72/39.01 (step-pop @p537 :rule scope :premises (@p391)) % 38.72/39.01 (step @p392 :rule process_scope :premises (@p537) :args (@t291)) % 38.72/39.01 (step @p394 :rule implies_elim :premises (@p392)) % 38.72/39.01 (assume-push @p538 @t201) % 38.72/39.01 (step @p396 :rule instantiate :premises (@p538) :args ((@list @t292))) % 38.72/39.01 (step-pop @p539 :rule scope :premises (@p396)) % 38.72/39.01 (step @p397 :rule process_scope :premises (@p539) :args (@t298)) % 38.72/39.01 (step @p399 :rule implies_elim :premises (@p397)) % 38.72/39.01 (step @p400 :rule refl :args (@t302)) % 38.72/39.01 (step @p401 :rule bool-double-not-elim :args (@t285)) % 38.72/39.01 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or (not @t288) @t302))) % 38.72/39.01 (assume-push @p540 @t288) % 38.72/39.01 (step @p404 :rule skolemize :premises (@p540)) % 38.72/39.01 (step-pop @p541 :rule scope :premises (@p404)) % 38.72/39.01 (step @p405 :rule process_scope :premises (@p541) :args (@t302)) % 38.72/39.01 (step @p407 :rule implies_elim :premises (@p405)) % 38.72/39.01 (step @p408 :rule eq_resolve :premises (@p407 @p402)) % 38.72/39.01 (step @p409 :rule cnf_or_pos :args (@t291)) % 38.72/39.01 (step @p410 :rule reordering :premises (@p409) :args ((or @t243 @t290 (not @t291)))) % 38.72/39.01 (step @p411 :rule bool-double-not-elim :args (@t296)) % 38.72/39.01 (step @p412 :rule refl :args (@t301)) % 38.72/39.01 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or @t301 (not @t297)))) % 38.72/39.01 (step @p414 :rule cnf_or_neg :args (@t301 0)) % 38.72/39.01 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 38.72/39.01 (step @p416 :rule reordering :premises (@p415) :args ((or @t296 @t301))) % 38.72/39.01 (step @p417 :rule bool-double-not-elim :args (@t299)) % 38.72/39.01 (step @p418 :rule nary_cong :premises (@p412 @p417) :args ((or @t301 (not @t300)))) % 38.72/39.01 (step @p419 :rule cnf_or_neg :args (@t301 1)) % 38.72/39.01 (step @p420 :rule eq_resolve :premises (@p419 @p418)) % 38.72/39.01 (step @p421 :rule reordering :premises (@p420) :args ((or @t299 @t301))) % 38.72/39.01 (step @p422 :rule refl :args (@t308)) % 38.72/39.01 (step @p423 :rule bool-double-not-elim :args (@t289)) % 38.72/39.01 (step @p424 :rule nary_cong :premises (@p423 @p422) :args ((or (not @t290) @t308))) % 38.72/39.01 (assume-push @p542 @t290) % 38.72/39.01 (step @p426 :rule skolemize :premises (@p542)) % 38.72/39.01 (step-pop @p543 :rule scope :premises (@p426)) % 38.72/39.01 (step @p427 :rule process_scope :premises (@p543) :args (@t308)) % 38.72/39.01 (step @p429 :rule implies_elim :premises (@p427)) % 38.72/39.01 (step @p430 :rule eq_resolve :premises (@p429 @p424)) % 38.72/39.01 (step @p431 :rule cnf_or_pos :args (@t298)) % 38.72/39.01 (step @p432 :rule reordering :premises (@p431) :args ((or @t297 @t295 (not @t298)))) % 38.72/39.01 (assume-push @p544 @t299) % 38.72/39.01 (step @p434 :rule instantiate :premises (@p544) :args ((@list @t309))) % 38.72/39.01 (step-pop @p545 :rule scope :premises (@p434)) % 38.72/39.01 (step @p435 :rule process_scope :premises (@p545) :args (@t317)) % 38.72/39.01 (step @p437 :rule implies_elim :premises (@p435)) % 38.72/39.01 (step @p438 :rule bool-double-not-elim :args (@t305)) % 38.72/39.01 (step @p439 :rule refl :args (@t307)) % 38.72/39.01 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t307 (not @t306)))) % 38.72/39.01 (step @p441 :rule cnf_or_neg :args (@t307 2)) % 38.72/39.01 (step @p442 :rule eq_resolve :premises (@p441 @p440)) % 38.72/39.01 (step @p443 :rule reordering :premises (@p442) :args ((or @t305 @t307))) % 38.72/39.01 (step @p444 :rule refl :args (@t321)) % 38.72/39.01 (step @p445 :rule bool-double-not-elim :args (@t294)) % 38.72/39.01 (step @p446 :rule nary_cong :premises (@p445 @p444) :args ((or (not @t295) @t321))) % 38.72/39.01 (assume-push @p546 @t295) % 38.72/39.01 (step @p448 :rule skolemize :premises (@p546)) % 38.72/39.01 (step-pop @p547 :rule scope :premises (@p448)) % 38.72/39.01 (step @p449 :rule process_scope :premises (@p547) :args (@t321)) % 38.72/39.01 (step @p451 :rule implies_elim :premises (@p449)) % 38.72/39.01 (step @p452 :rule eq_resolve :premises (@p451 @p446)) % 38.72/39.01 (step @p453 :rule instantiate :premises (@p54) :args ((@list @t304 @t144 @t174))) % 38.72/39.01 (step @p454 :rule cnf_or_pos :args (@t322)) % 38.72/39.01 (step @p455 :rule reordering :premises (@p454) :args ((or @t265 @t269 @t306 (not @t322)))) % 38.72/39.01 (step @p456 :rule bool-double-not-elim :args (@t315)) % 38.72/39.01 (step @p457 :rule refl :args (@t320)) % 38.72/39.01 (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or @t320 (not @t316)))) % 38.72/39.01 (step @p459 :rule cnf_or_neg :args (@t320 0)) % 38.72/39.01 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 38.72/39.01 (step @p461 :rule reordering :premises (@p460) :args ((or @t315 @t320))) % 38.72/39.01 (step @p462 :rule bool-double-not-elim :args (@t313)) % 38.72/39.01 (step @p463 :rule nary_cong :premises (@p457 @p462) :args ((or @t320 (not @t314)))) % 38.72/39.01 (step @p464 :rule cnf_or_neg :args (@t320 1)) % 38.72/39.01 (step @p465 :rule eq_resolve :premises (@p464 @p463)) % 38.72/39.01 (step @p466 :rule reordering :premises (@p465) :args ((or @t313 @t320))) % 38.72/39.01 (step @p467 :rule bool-double-not-elim :args (@t318)) % 38.72/39.01 (step @p468 :rule nary_cong :premises (@p457 @p467) :args ((or @t320 (not @t319)))) % 38.72/39.01 (step @p469 :rule cnf_or_neg :args (@t320 2)) % 38.72/39.01 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 38.72/39.01 (step @p471 :rule reordering :premises (@p470) :args ((or @t318 @t320))) % 38.72/39.01 (step @p472 :rule cnf_or_pos :args (@t317)) % 38.72/39.01 (step @p473 :rule reordering :premises (@p472) :args ((or @t316 @t314 @t312 (not @t317)))) % 38.72/39.01 (step @p474 :rule instantiate :premises (@p328) :args (@t323)) % 38.72/39.01 (step @p475 :rule cnf_or_pos :args (@t325)) % 38.72/39.01 (step @p476 :rule reordering :premises (@p475) :args ((or @t265 @t319 @t324 (not @t325)))) % 38.72/39.01 (step @p477 :rule instantiate :premises (@p339) :args ((@list @t310 @t174))) % 38.72/39.01 (step @p478 :rule cnf_or_pos :args (@t327)) % 38.72/39.01 (step @p479 :rule reordering :premises (@p478) :args ((or @t268 @t311 @t326 (not @t327)))) % 38.72/39.01 (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p476 @p474 @p319 @p473 @p471 @p466 @p461 @p455 @p453 @p319 @p452 @p443 @p437 @p432 @p430 @p421 @p416 @p410 @p408 @p399 @p394 @p389 @p387 @p383 @p206 @p381 @p380 @p374 @p373 @p371 @p370 @p363 @p359 @p354 @p352 @p343 @p286 @p281 @p276) :args (@t244 (@list false false false false true false false false true false false true false false true true false false true true false false true false false false true false true true false false false true true false false false false false) (@list @t327 @t324 @t325 @t258 @t311 @t318 @t313 @t315 @t268 @t322 @t258 @t320 @t305 @t317 @t294 @t307 @t299 @t296 @t289 @t301 @t298 @t291 @t285 @t286 @t201 @t202 @t175 @t176 @t178 @t183 @t182 @t179 @t281 @t277 @t276 @t246 @t256 @t254 @t241 @t239))) % 38.72/39.01 (step @p481 :rule refl :args (@t328)) % 38.72/39.01 (step @p482 :rule bool-double-not-elim :args (@t234)) % 38.72/39.01 (step @p483 :rule nary_cong :premises (@p482 @p481) :args ((or (not @t235) @t328))) % 38.72/39.01 (assume-push @p548 @t235) % 38.72/39.01 (step @p485 :rule skolemize :premises (@p548)) % 38.72/39.01 (step-pop @p549 :rule scope :premises (@p485)) % 38.72/39.01 (step @p486 :rule process_scope :premises (@p549) :args (@t328)) % 38.72/39.01 (step @p488 :rule implies_elim :premises (@p486)) % 38.72/39.01 (step @p489 :rule eq_resolve :premises (@p488 @p483)) % 38.72/39.01 (step @p490 :rule chain_m_resolution :premises (@p489 @p480) :args (@t234 @t261 (@list @t244))) % 38.72/39.01 (step @p491 :rule cnf_equiv_pos1 :args (@t236)) % 38.72/39.01 (step @p492 :rule reordering :premises (@p491) :args ((or @t181 @t235 (not @t236)))) % 38.72/39.01 (step @p493 :rule chain_m_resolution :premises (@p492 @p490 @p270) :args (@t181 @t262 (@list @t234 @t236))) % 38.72/39.01 (step @p494 :rule bool-double-not-elim :args (@t180)) % 38.72/39.01 (step @p495 :rule refl :args (@t182)) % 38.72/39.01 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or @t182 (not @t181)))) % 38.72/39.01 (step @p497 :rule cnf_or_neg :args (@t182 0)) % 38.72/39.01 (step @p498 :rule eq_resolve :premises (@p497 @p496)) % 38.72/39.01 (step @p499 :rule reordering :premises (@p498) :args ((or @t180 @t182))) % 38.72/39.01 (step @p500 :rule chain_m_resolution :premises (@p499 @p493) :args (@t182 @t192 (@list @t180))) % 38.72/39.01 (step @p501 :rule chain_m_resolution :premises (@p374 @p373 @p500) :args ((not @t178) @t329 (@list @t183 @t182))) % 38.72/39.01 (step @p502 :rule chain_m_resolution :premises (@p380 @p501) :args (@t176 @t192 @t330)) % 38.72/39.01 (step @p503 :rule chain_m_resolution :premises (@p383 @p502 @p206) :args (@t201 @t262 (@list @t176 @t202))) % 38.72/39.01 (step @p504 :rule chain_m_resolution :premises (@p399 @p503) :args (@t298 @t261 (@list @t201))) % 38.72/39.01 (step @p505 :rule chain_m_resolution :premises (@p381 @p501) :args ((not @t175) @t192 @t330)) % 38.72/39.01 (step @p506 :rule chain_m_resolution :premises (@p389 @p505 @p387) :args (@t288 @t329 (@list @t175 @t286))) % 38.72/39.01 (step @p507 :rule chain_m_resolution :premises (@p408 @p506) :args (@t302 @t192 (@list @t285))) % 38.72/39.01 (step @p508 :rule chain_m_resolution :premises (@p416 @p507) :args (@t296 @t192 @t331)) % 38.72/39.01 (step @p509 :rule chain_m_resolution :premises (@p432 @p508 @p504) :args (@t295 @t262 (@list @t296 @t298))) % 38.72/39.01 (step @p510 :rule chain_m_resolution :premises (@p452 @p509) :args (@t321 @t192 (@list @t294))) % 38.72/39.01 (step @p511 :rule chain_m_resolution :premises (@p471 @p510) :args (@t318 @t192 @t332)) % 38.72/39.01 (step @p512 :rule chain_m_resolution :premises (@p476 @p319 @p511 @p474) :args (@t324 @t333 (@list @t258 @t318 @t325))) % 38.72/39.01 (step @p513 :rule chain_m_resolution :premises (@p421 @p507) :args (@t299 @t192 @t331)) % 38.72/39.01 (step @p514 :rule chain_m_resolution :premises (@p437 @p513) :args (@t317 @t261 (@list @t299))) % 38.72/39.01 (step @p515 :rule chain_m_resolution :premises (@p466 @p510) :args (@t313 @t192 @t332)) % 38.72/39.01 (step @p516 :rule chain_m_resolution :premises (@p461 @p510) :args (@t315 @t192 @t332)) % 38.72/39.01 (step @p517 :rule chain_m_resolution :premises (@p473 @p516 @p515 @p514) :args (@t312 @t333 (@list @t315 @t313 @t317))) % 38.72/39.01 (step @p518 :rule chain_m_resolution :premises (@p479 @p517 @p512 @p477) :args (@t268 (@list true false false) (@list @t311 @t324 @t327))) % 38.72/39.02 (step @p519 :rule cnf_or_pos :args (@t334)) % 38.72/39.02 (step @p520 :rule reordering :premises (@p519) :args ((or @t265 @t269 @t319 @t335))) % 38.72/39.02 (step @p521 :rule chain_m_resolution :premises (@p520 @p319 @p518 @p511) :args (@t335 @t333 (@list @t258 @t268 @t318))) % 38.72/39.02 (assume-push @p550 @t336) % 38.72/39.02 (step @p523 :rule instantiate :premises (@p54) :args (@t323)) % 38.72/39.02 (step-pop @p551 :rule scope :premises (@p523)) % 38.72/39.02 (step @p524 :rule process_scope :premises (@p551) :args (@t334)) % 38.72/39.02 (step @p526 :rule implies_elim :premises (@p524)) % 38.72/39.02 (step @p527 false :rule chain_m_resolution :premises (@p526 @p521 @p54) :args (false @t329 (@list @t334 @t336))) % 38.72/39.02 ) % 38.72/39.02 % SZS output end Proof % 38.72/39.02 % cvc5 exiting %------------------------------------------------------------------------------