%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU304+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 : n028.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 08:51:19 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU304+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:55:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.empty_set $$unsorted) % 0.45/0.65 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.function (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.65 (define @t3 () (tptp.in @t1 @t2)) % 0.45/0.65 (define @t4 () (@list @t1 @t2)) % 0.45/0.65 (define @t5 () (and (tptp.cup_closed @t1) (tptp.diff_closed @t1))) % 0.45/0.65 (define @t6 () (tptp.preboolean @t1)) % 0.45/0.65 (define @t7 () (@list @t1)) % 0.45/0.65 (define @t8 () (@var "C" $$unsorted)) % 0.45/0.65 (define @t9 () (tptp.meet_commut @t1 @t2 @t8)) % 0.45/0.65 (define @t10 () (= @t9 (tptp.meet_commut @t1 @t8 @t2))) % 0.45/0.65 (define @t11 () (tptp.the_carrier @t1)) % 0.45/0.65 (define @t12 () (tptp.element @t8 @t11)) % 0.45/0.65 (define @t13 () (tptp.element @t2 @t11)) % 0.45/0.65 (define @t14 () (tptp.meet_semilatt_str @t1)) % 0.45/0.65 (define @t15 () (tptp.meet_commutative @t1)) % 0.45/0.65 (define @t16 () (tptp.empty_carrier @t1)) % 0.45/0.65 (define @t17 () (not @t16)) % 0.45/0.65 (define @t18 () (and @t17 @t15 @t14 @t13 @t12)) % 0.45/0.65 (define @t19 () (@list @t1 @t2 @t8)) % 0.45/0.65 (define @t20 () (forall @t19 (=> @t18 @t10))) % 0.45/0.65 (define @t21 () (tptp.the_L_join @t1)) % 0.45/0.65 (define @t22 () (tptp.join @t1 @t2 @t8)) % 0.45/0.65 (define @t23 () (@list @t8)) % 0.45/0.65 (define @t24 () (@list @t2)) % 0.45/0.65 (define @t25 () (tptp.join_semilatt_str @t1)) % 0.45/0.65 (define @t26 () (and @t17 @t25)) % 0.45/0.65 (define @t27 () (tptp.the_L_meet @t1)) % 0.45/0.65 (define @t28 () (tptp.meet @t1 @t2 @t8)) % 0.45/0.65 (define @t29 () (tptp.below @t1 @t2 @t8)) % 0.45/0.65 (define @t30 () (= @t29 (= @t22 @t8))) % 0.45/0.65 (define @t31 () (=> @t12 @t30)) % 0.45/0.65 (define @t32 () (forall @t23 @t31)) % 0.45/0.65 (define @t33 () (=> @t13 @t32)) % 0.45/0.65 (define @t34 () (forall @t24 @t33)) % 0.45/0.65 (define @t35 () (=> @t26 @t34)) % 0.45/0.65 (define @t36 () (forall @t7 @t35)) % 0.45/0.65 (define @t37 () (tptp.join @t1 @t28 @t8)) % 0.45/0.65 (define @t38 () (=> @t12 (= @t37 @t8))) % 0.45/0.65 (define @t39 () (forall @t23 @t38)) % 0.45/0.65 (define @t40 () (=> @t13 @t39)) % 0.45/0.65 (define @t41 () (forall @t24 @t40)) % 0.45/0.65 (define @t42 () (tptp.meet_absorbing @t1)) % 0.45/0.65 (define @t43 () (= @t42 @t41)) % 0.45/0.65 (define @t44 () (tptp.latt_str @t1)) % 0.45/0.65 (define @t45 () (and @t17 @t44)) % 0.45/0.65 (define @t46 () (=> @t45 @t43)) % 0.45/0.65 (define @t47 () (forall @t7 @t46)) % 0.45/0.65 (define @t48 () (@var "F" $$unsorted)) % 0.45/0.65 (define @t49 () (@var "E" $$unsorted)) % 0.45/0.65 (define @t50 () (@var "D" $$unsorted)) % 0.45/0.65 (define @t51 () (tptp.apply_binary_as_element @t1 @t2 @t8 @t50 @t49 @t48)) % 0.45/0.65 (define @t52 () (tptp.cartesian_product2 @t1 @t2)) % 0.45/0.65 (define @t53 () (tptp.empty @t2)) % 0.45/0.65 (define @t54 () (not @t53)) % 0.45/0.65 (define @t55 () (tptp.empty @t1)) % 0.45/0.65 (define @t56 () (and (not @t55) @t54 (tptp.function @t50) (tptp.quasi_total @t50 @t52 @t8) (tptp.relation_of2 @t50 @t52 @t8) (tptp.element @t49 @t1) (tptp.element @t48 @t2))) % 0.45/0.65 (define @t57 () (@list @t1 @t2 @t8 @t50 @t49 @t48)) % 0.45/0.65 (define @t58 () (tptp.element @t9 @t11)) % 0.45/0.65 (define @t59 () (forall @t19 (=> @t18 @t58))) % 0.45/0.65 (define @t60 () (tptp.one_sorted_str @t1)) % 0.45/0.65 (define @t61 () (and @t14 @t25)) % 0.45/0.65 (define @t62 () (forall @t7 (=> @t44 @t61))) % 0.45/0.65 (define @t63 () (tptp.relation_of2_as_subset @t8 @t1 @t2)) % 0.45/0.65 (define @t64 () (tptp.cartesian_product2 @t11 @t11)) % 0.45/0.65 (define @t65 () (tptp.relation_of2 @t8 @t1 @t2)) % 0.45/0.65 (define @t66 () (tptp.powerset @t1)) % 0.45/0.65 (define @t67 () (and @t17 @t60)) % 0.45/0.65 (define @t68 () (= @t9 @t28)) % 0.45/0.65 (define @t69 () (forall @t19 (=> @t18 @t68))) % 0.45/0.65 (define @t70 () (tptp.element @t1 @t2)) % 0.45/0.65 (define @t71 () (tptp.below @t1 @t9 @t2)) % 0.45/0.65 (define @t72 () (forall @t23 (=> @t12 @t71))) % 0.45/0.65 (define @t73 () (=> @t13 @t72)) % 0.45/0.65 (define @t74 () (forall @t24 @t73)) % 0.45/0.65 (define @t75 () (and @t17 @t15 @t42 @t44)) % 0.45/0.65 (define @t76 () (=> @t75 @t74)) % 0.45/0.65 (define @t77 () (forall @t7 @t76)) % 0.45/0.65 (define @t78 () (not @t77)) % 0.45/0.65 (define @t79 () (tptp.element @t2 (tptp.powerset @t8))) % 0.45/0.65 (define @t80 () (not @t12)) % 0.45/0.65 (define @t81 () (not @t13)) % 0.45/0.65 (define @t82 () (not @t14)) % 0.45/0.65 (define @t83 () (not @t15)) % 0.45/0.65 (define @t84 () (or @t16 @t83 @t82 @t81 @t80)) % 0.45/0.65 (define @t85 () (not @t17)) % 0.45/0.65 (define @t86 () (or @t85 @t83 @t82 @t81 @t80)) % 0.45/0.65 (define @t87 () (not @t18)) % 0.45/0.65 (define @t88 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 0.45/0.65 (define @t89 () (@var "BOUND_VARIABLE_8011" $$unsorted)) % 0.45/0.65 (define @t90 () (tptp.below @t1 (tptp.meet_commut @t1 @t88 @t89) @t88)) % 0.45/0.65 (define @t91 () (not (tptp.element @t89 @t11))) % 0.45/0.65 (define @t92 () (not (tptp.element @t88 @t11))) % 0.45/0.65 (define @t93 () (not @t44)) % 0.45/0.65 (define @t94 () (not @t42)) % 0.45/0.65 (define @t95 () (or @t16 @t83 @t94 @t93 @t92 @t91 @t90)) % 0.45/0.65 (define @t96 () (@list @t1 @t88 @t89)) % 0.45/0.65 (define @t97 () (forall @t96 @t95)) % 0.45/0.65 (define @t98 () (@quantifiers_skolemize @t97 2)) % 0.45/0.65 (define @t99 () (@quantifiers_skolemize @t97 1)) % 0.45/0.65 (define @t100 () (@quantifiers_skolemize @t97 0)) % 0.45/0.65 (define @t101 () (@list @t100 @t99 @t98)) % 0.45/0.65 (define @t102 () (@list @t100)) % 0.45/0.65 (define @t103 () (or @t92 @t91 @t90)) % 0.45/0.65 (define @t104 () (or @t16 @t83 @t94 @t93 @t103)) % 0.45/0.65 (define @t105 () (forall @t96 @t104)) % 0.45/0.65 (define @t106 () (@list @t88 @t89)) % 0.45/0.65 (define @t107 () (forall @t106 @t104)) % 0.45/0.65 (define @t108 () (forall @t106 @t103)) % 0.45/0.65 (define @t109 () (@var "BOUND_VARIABLE_7990" $$unsorted)) % 0.45/0.65 (define @t110 () (or @t16 @t83 @t94 @t93 @t108)) % 0.45/0.65 (define @t111 () (tptp.below @t1 (tptp.meet_commut @t1 @t2 @t109) @t2)) % 0.45/0.65 (define @t112 () (not (tptp.element @t109 @t11))) % 0.45/0.65 (define @t113 () (or @t81 @t112 @t111)) % 0.45/0.65 (define @t114 () (@list @t2 @t109)) % 0.45/0.65 (define @t115 () (forall @t114 @t113)) % 0.45/0.65 (define @t116 () (or @t16 @t83 @t94 @t93 @t115)) % 0.45/0.65 (define @t117 () (or @t85 @t83 @t94 @t93)) % 0.45/0.65 (define @t118 () (or @t112 @t111)) % 0.45/0.65 (define @t119 () (or @t81 @t118)) % 0.45/0.65 (define @t120 () (forall @t114 @t119)) % 0.45/0.65 (define @t121 () (@list @t109)) % 0.45/0.65 (define @t122 () (forall @t121 @t119)) % 0.45/0.65 (define @t123 () (forall @t121 @t118)) % 0.45/0.65 (define @t124 () (@list @t8)) % 0.45/0.65 (define @t125 () (or @t81 @t123)) % 0.45/0.65 (define @t126 () (forall @t23 (or @t80 @t71))) % 0.45/0.65 (define @t127 () (tptp.latt_str @t100)) % 0.45/0.65 (define @t128 () (tptp.meet_commut @t100 @t99 @t98)) % 0.45/0.65 (define @t129 () (tptp.below @t100 @t128 @t99)) % 0.45/0.65 (define @t130 () (tptp.the_carrier @t100)) % 0.45/0.65 (define @t131 () (tptp.element @t98 @t130)) % 0.45/0.65 (define @t132 () (not @t131)) % 0.45/0.65 (define @t133 () (tptp.element @t99 @t130)) % 0.45/0.65 (define @t134 () (not @t133)) % 0.45/0.65 (define @t135 () (not @t127)) % 0.45/0.65 (define @t136 () (tptp.meet_absorbing @t100)) % 0.45/0.65 (define @t137 () (not @t136)) % 0.45/0.65 (define @t138 () (tptp.meet_commutative @t100)) % 0.45/0.65 (define @t139 () (not @t138)) % 0.45/0.65 (define @t140 () (tptp.empty_carrier @t100)) % 0.45/0.65 (define @t141 () (or @t140 @t139 @t137 @t135 @t134 @t132 @t129)) % 0.45/0.65 (define @t142 () (@list true)) % 0.45/0.65 (define @t143 () (@list @t141)) % 0.45/0.65 (define @t144 () (tptp.join_semilatt_str @t100)) % 0.45/0.65 (define @t145 () (tptp.meet_semilatt_str @t100)) % 0.45/0.65 (define @t146 () (and @t145 @t144)) % 0.45/0.65 (define @t147 () (or @t135 @t146)) % 0.45/0.65 (define @t148 () (@list false false)) % 0.45/0.65 (define @t149 () (not @t146)) % 0.45/0.65 (define @t150 () (@list false)) % 0.45/0.65 (define @t151 () (@list @t146)) % 0.45/0.65 (define @t152 () (tptp.meet_commut @t100 @t98 @t99)) % 0.45/0.65 (define @t153 () (= @t128 @t152)) % 0.45/0.65 (define @t154 () (not @t145)) % 0.45/0.65 (define @t155 () (or @t140 @t139 @t154 @t134 @t132 @t153)) % 0.45/0.65 (define @t156 () (@list true false false false false false)) % 0.45/0.65 (define @t157 () (= @t128 (tptp.meet @t100 @t99 @t98))) % 0.45/0.65 (define @t158 () (or @t140 @t139 @t154 @t134 @t132 @t157)) % 0.45/0.65 (define @t159 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 0.45/0.65 (define @t160 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 0.45/0.65 (define @t161 () (= (tptp.below @t1 @t160 @t159) (= @t159 (tptp.join @t1 @t160 @t159)))) % 0.45/0.65 (define @t162 () (not (tptp.element @t159 @t11))) % 0.45/0.65 (define @t163 () (not (tptp.element @t160 @t11))) % 0.45/0.65 (define @t164 () (not @t25)) % 0.45/0.65 (define @t165 () (or @t163 @t162 @t161)) % 0.45/0.65 (define @t166 () (or @t16 @t164 @t165)) % 0.45/0.65 (define @t167 () (forall (@list @t1 @t160 @t159) @t166)) % 0.45/0.65 (define @t168 () (@list @t160 @t159)) % 0.45/0.65 (define @t169 () (forall @t168 @t166)) % 0.45/0.65 (define @t170 () (forall @t168 @t165)) % 0.45/0.65 (define @t171 () (@var "BOUND_VARIABLE_7784" $$unsorted)) % 0.45/0.65 (define @t172 () (or @t16 @t164 @t170)) % 0.45/0.65 (define @t173 () (= (tptp.below @t1 @t2 @t171) (= @t171 (tptp.join @t1 @t2 @t171)))) % 0.45/0.65 (define @t174 () (not (tptp.element @t171 @t11))) % 0.45/0.65 (define @t175 () (or @t81 @t174 @t173)) % 0.45/0.65 (define @t176 () (@list @t2 @t171)) % 0.45/0.65 (define @t177 () (forall @t176 @t175)) % 0.45/0.65 (define @t178 () (or @t16 @t164 @t177)) % 0.45/0.65 (define @t179 () (or @t174 @t173)) % 0.45/0.65 (define @t180 () (or @t81 @t179)) % 0.45/0.65 (define @t181 () (forall @t176 @t180)) % 0.45/0.65 (define @t182 () (@list @t171)) % 0.45/0.65 (define @t183 () (forall @t182 @t180)) % 0.45/0.65 (define @t184 () (forall @t182 @t179)) % 0.45/0.65 (define @t185 () (or @t81 @t184)) % 0.45/0.65 (define @t186 () (= @t29 (= @t8 @t22))) % 0.45/0.65 (define @t187 () (forall @t23 (or @t80 @t186))) % 0.45/0.65 (define @t188 () (tptp.element @t128 @t130)) % 0.45/0.65 (define @t189 () (or @t140 @t139 @t154 @t134 @t132 @t188)) % 0.45/0.65 (define @t190 () (= @t99 (tptp.join @t100 @t128 @t99))) % 0.45/0.65 (define @t191 () (= @t129 @t190)) % 0.45/0.65 (define @t192 () (not @t188)) % 0.45/0.65 (define @t193 () (not @t144)) % 0.45/0.65 (define @t194 () (or @t140 @t193 @t192 @t134 @t191)) % 0.45/0.65 (define @t195 () (not @t190)) % 0.45/0.65 (define @t196 () (tptp.meet @t100 @t98 @t99)) % 0.45/0.65 (define @t197 () (= @t152 @t196)) % 0.45/0.65 (define @t198 () (or @t140 @t139 @t154 @t132 @t134 @t197)) % 0.45/0.65 (define @t199 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 0.45/0.65 (define @t200 () (= @t199 (tptp.join @t1 (tptp.meet @t1 @t2 @t199) @t199))) % 0.45/0.65 (define @t201 () (not (tptp.element @t199 @t11))) % 0.45/0.65 (define @t202 () (or @t81 @t201 @t200)) % 0.45/0.65 (define @t203 () (@list @t2 @t199)) % 0.45/0.65 (define @t204 () (= @t42 (forall @t203 @t202))) % 0.45/0.65 (define @t205 () (or @t201 @t200)) % 0.45/0.65 (define @t206 () (or @t81 @t205)) % 0.45/0.65 (define @t207 () (forall @t203 @t206)) % 0.45/0.65 (define @t208 () (@list @t199)) % 0.45/0.65 (define @t209 () (forall @t208 @t206)) % 0.45/0.65 (define @t210 () (forall @t208 @t205)) % 0.45/0.65 (define @t211 () (or @t81 @t210)) % 0.45/0.65 (define @t212 () (= @t8 @t37)) % 0.45/0.65 (define @t213 () (forall @t23 (or @t80 @t212))) % 0.45/0.65 (define @t214 () (forall @t203 (or (not (tptp.element @t2 @t130)) (not (tptp.element @t199 @t130)) (= @t199 (tptp.join @t100 (tptp.meet @t100 @t2 @t199) @t199))))) % 0.45/0.65 (define @t215 () (= @t136 @t214)) % 0.45/0.65 (define @t216 () (or @t140 @t135 @t215)) % 0.45/0.65 (define @t217 () (tptp.join @t100 @t196 @t99)) % 0.45/0.65 (define @t218 () (= @t99 @t217)) % 0.45/0.65 (define @t219 () (or @t132 @t134 @t218)) % 0.45/0.65 (define @t220 () (not @t218)) % 0.45/0.65 (define @t221 () (not @t197)) % 0.45/0.65 (define @t222 () (not @t157)) % 0.45/0.65 (define @t223 () (not @t153)) % 0.45/0.65 (define @t224 () (and @t218 @t220)) % 0.45/0.65 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.45/0.65 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.45/0.65 (assume @p3 (forall @t7 (=> @t5 @t6))) % 0.45/0.65 (assume @p4 @t20) % 0.45/0.65 (assume @p5 (forall @t7 (=> @t26 (forall @t24 (=> @t13 (forall @t23 (=> @t12 (= @t22 (tptp.apply_binary_as_element @t11 @t11 @t11 @t21 @t2 @t8))))))))) % 0.45/0.65 (assume @p6 (forall @t7 (=> (and @t17 @t14) (forall @t24 (=> @t13 (forall @t23 (=> @t12 (= @t28 (tptp.apply_binary_as_element @t11 @t11 @t11 @t27 @t2 @t8))))))))) % 0.45/0.65 (assume @p7 @t36) % 0.45/0.65 (assume @p8 @t47) % 0.45/0.65 (assume @p9 true) % 0.45/0.65 (assume @p10 (forall @t19 (=> (and @t17 @t25 @t13 @t12) (tptp.element @t22 @t11)))) % 0.45/0.65 (assume @p11 (forall @t57 (=> @t56 (tptp.element @t51 @t8)))) % 0.45/0.65 (assume @p12 (forall @t19 (=> (and @t17 @t14 @t13 @t12) (tptp.element @t28 @t11)))) % 0.45/0.65 (assume @p13 @t59) % 0.45/0.65 (assume @p14 (forall @t7 (=> @t14 @t60))) % 0.45/0.65 (assume @p15 (forall @t7 (=> @t25 @t60))) % 0.45/0.65 (assume @p16 @t62) % 0.45/0.65 (assume @p17 (forall @t19 (=> @t63 (tptp.element @t8 (tptp.powerset @t52))))) % 0.45/0.65 (assume @p18 (forall @t7 (=> @t14 (and (tptp.function @t27) (tptp.quasi_total @t27 @t64 @t11) (tptp.relation_of2_as_subset @t27 @t64 @t11))))) % 0.45/0.65 (assume @p19 (forall @t7 (=> @t25 (and (tptp.function @t21) (tptp.quasi_total @t21 @t64 @t11) (tptp.relation_of2_as_subset @t21 @t64 @t11))))) % 0.45/0.65 (assume @p20 (exists @t7 @t14)) % 0.45/0.65 (assume @p21 (exists @t7 @t60)) % 0.45/0.65 (assume @p22 (exists @t7 @t25)) % 0.45/0.65 (assume @p23 (exists @t7 @t44)) % 0.45/0.65 (assume @p24 (forall @t4 (exists @t23 @t65))) % 0.45/0.65 (assume @p25 (forall @t7 (exists @t24 (tptp.element @t2 @t1)))) % 0.45/0.65 (assume @p26 (forall @t4 (exists @t23 @t63))) % 0.45/0.65 (assume @p27 (forall @t7 (and (not (tptp.empty @t66)) (tptp.cup_closed @t66) (tptp.diff_closed @t66) (tptp.preboolean @t66)))) % 0.45/0.65 (assume @p28 (forall @t7 (=> @t67 (not (tptp.empty @t11))))) % 0.45/0.65 (assume @p29 (exists @t7 (and @t60 @t17))) % 0.45/0.65 (assume @p30 (forall @t7 (=> @t67 (exists @t24 (and (tptp.element @t2 (tptp.powerset @t11)) @t54))))) % 0.45/0.65 (assume @p31 (forall @t57 (=> @t56 (= @t51 (tptp.apply_binary @t50 @t49 @t48))))) % 0.45/0.65 (assume @p32 @t69) % 0.45/0.65 (assume @p33 (forall @t19 (= @t63 @t65))) % 0.45/0.65 (assume @p34 (forall @t4 (tptp.subset @t1 @t1))) % 0.45/0.65 (assume @p35 (forall @t4 (=> @t3 @t70))) % 0.45/0.65 (assume @p36 @t78) % 0.45/0.65 (assume @p37 (forall @t4 (=> @t70 (or @t53 @t3)))) % 0.45/0.65 (assume @p38 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.45/0.65 (assume @p39 (forall @t19 (=> (and @t3 @t79) (tptp.element @t1 @t8)))) % 0.45/0.65 (assume @p40 (forall @t19 (not (and @t3 @t79 (tptp.empty @t8))))) % 0.45/0.65 (assume @p41 (forall @t7 (=> @t55 (= @t1 tptp.empty_set)))) % 0.45/0.65 (assume @p42 (forall @t4 (not (and @t3 @t53)))) % 0.45/0.65 (assume @p43 (forall @t4 (not (and @t55 (not (= @t1 @t2)) @t53)))) % 0.45/0.65 (step @p44 :rule aci_norm :args ((= (or @t84 @t10) (or @t16 @t83 @t82 @t81 @t80 @t10)))) % 0.45/0.65 (step @p45 :rule refl :args (@t10)) % 0.45/0.65 (step @p46 :rule refl :args (@t80)) % 0.45/0.65 (step @p47 :rule refl :args (@t81)) % 0.45/0.65 (step @p48 :rule refl :args (@t82)) % 0.45/0.65 (step @p49 :rule refl :args (@t83)) % 0.45/0.65 (step @p50 :rule bool-double-not-elim :args (@t16)) % 0.45/0.65 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p47 @p46) :args (@t86)) % 0.45/0.65 (step @p52 :rule aci_norm :args ((= (or @t85 (or @t83 (or @t82 (or @t81 @t80)))) @t86))) % 0.45/0.65 (step @p53 :rule trans :premises (@p52 @p51)) % 0.45/0.65 (step @p54 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.45/0.65 (step @p55 :rule nary_cong :premises (@p48 @p54) :args ((or @t82 (not (and @t13 @t12))))) % 0.45/0.65 (step @p56 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12))) % 0.45/0.65 (step @p57 :rule trans :premises (@p56 @p55)) % 0.45/0.65 (step @p58 :rule nary_cong :premises (@p49 @p57) :args ((or @t83 (not (and @t14 @t13 @t12))))) % 0.45/0.65 (step @p59 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12))) % 0.45/0.65 (step @p60 :rule trans :premises (@p59 @p58)) % 0.45/0.65 (step @p61 :rule refl :args (@t85)) % 0.45/0.65 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t85 (not (and @t15 @t14 @t13 @t12))))) % 0.45/0.65 (step @p63 :rule bool-and-de-morgan :args (@t17 @t15 (and @t14 @t13 @t12))) % 0.45/0.65 (step @p64 :rule trans :premises (@p63 @p62)) % 0.45/0.65 (step @p65 :rule trans :premises (@p64 @p53)) % 0.45/0.65 (step @p66 :rule nary_cong :premises (@p65 @p45) :args ((or @t87 @t10))) % 0.45/0.65 (step @p67 :rule trans :premises (@p66 @p44)) % 0.45/0.65 (step @p68 :rule bool-impl-elim :args (@t18 @t10)) % 0.45/0.65 (step @p69 :rule trans :premises (@p68 @p67)) % 0.45/0.65 (step @p70 :rule cong :premises (@p69) :args (@t20)) % 0.45/0.65 (step @p71 :rule eq_resolve :premises (@p4 @p70)) % 0.45/0.65 (step @p72 :rule instantiate :premises (@p71) :args (@t101)) % 0.45/0.65 (step @p73 :rule bool-impl-elim :args (@t44 @t61)) % 0.45/0.65 (step @p74 :rule cong :premises (@p73) :args (@t62)) % 0.45/0.65 (step @p75 :rule eq_resolve :premises (@p16 @p74)) % 0.45/0.65 (step @p76 :rule instantiate :premises (@p75) :args (@t102)) % 0.45/0.65 (step @p77 :rule aci_norm :args ((= @t104 @t95))) % 0.45/0.65 (step @p78 :rule cong :premises (@p77) :args (@t105)) % 0.45/0.65 (step @p79 :rule quant-merge-prenex :args ((= (forall @t7 @t107) @t105))) % 0.45/0.65 (step @p80 :rule alpha_equiv :args (@t108 (@list @t88 @t89) (@list @t2 @t109))) % 0.45/0.65 (step @p81 :rule refl :args (@t93)) % 0.45/0.65 (step @p82 :rule refl :args (@t94)) % 0.45/0.65 (step @p83 :rule refl :args (@t16)) % 0.45/0.65 (step @p84 :rule nary_cong :premises (@p83 @p49 @p82 @p81 @p80) :args (@t110)) % 0.45/0.65 (step @p85 :rule quant-miniscope-or :args ((= @t107 @t110))) % 0.45/0.65 (step @p86 :rule trans :premises (@p85 @p84)) % 0.45/0.65 (step @p87 :rule symm :premises (@p86)) % 0.45/0.65 (step @p88 :rule cong :premises (@p87) :args ((forall @t7 @t116))) % 0.45/0.65 (step @p89 :rule trans :premises (@p88 @p79)) % 0.45/0.65 (step @p90 :rule trans :premises (@p89 @p78)) % 0.45/0.65 (step @p91 :rule aci_norm :args ((= (or (or @t16 @t83 @t94 @t93) @t115) @t116))) % 0.45/0.65 (step @p92 :rule refl :args (@t115)) % 0.45/0.65 (step @p93 :rule nary_cong :premises (@p50 @p49 @p82 @p81) :args (@t117)) % 0.45/0.65 (step @p94 :rule aci_norm :args ((= (or @t85 (or @t83 (or @t94 @t93))) @t117))) % 0.45/0.65 (step @p95 :rule trans :premises (@p94 @p93)) % 0.45/0.65 (step @p96 :rule bool-and-de-morgan :args (@t42 @t44 true)) % 0.45/0.65 (step @p97 :rule nary_cong :premises (@p49 @p96) :args ((or @t83 (not (and @t42 @t44))))) % 0.45/0.65 (step @p98 :rule bool-and-de-morgan :args (@t15 @t42 (and @t44))) % 0.45/0.65 (step @p99 :rule trans :premises (@p98 @p97)) % 0.45/0.65 (step @p100 :rule nary_cong :premises (@p61 @p99) :args ((or @t85 (not (and @t15 @t42 @t44))))) % 0.45/0.65 (step @p101 :rule bool-and-de-morgan :args (@t17 @t15 (and @t42 @t44))) % 0.45/0.65 (step @p102 :rule trans :premises (@p101 @p100)) % 0.45/0.65 (step @p103 :rule trans :premises (@p102 @p95)) % 0.45/0.65 (step @p104 :rule nary_cong :premises (@p103 @p92) :args ((or (not @t75) @t115))) % 0.45/0.65 (step @p105 :rule trans :premises (@p104 @p91)) % 0.45/0.65 (step @p106 :rule bool-impl-elim :args (@t75 @t115)) % 0.45/0.65 (step @p107 :rule trans :premises (@p106 @p105)) % 0.45/0.65 (step @p108 :rule cong :premises (@p107) :args ((forall @t7 (=> @t75 @t115)))) % 0.45/0.65 (step @p109 :rule trans :premises (@p108 @p90)) % 0.45/0.65 (step @p110 :rule aci_norm :args ((= @t119 @t113))) % 0.45/0.65 (step @p111 :rule cong :premises (@p110) :args (@t120)) % 0.45/0.65 (step @p112 :rule quant-merge-prenex :args ((= (forall @t24 @t122) @t120))) % 0.45/0.65 (step @p113 :rule alpha_equiv :args (@t123 (@list @t109) @t124)) % 0.45/0.65 (step @p114 :rule nary_cong :premises (@p47 @p113) :args (@t125)) % 0.45/0.65 (step @p115 :rule quant-miniscope-or :args ((= @t122 @t125))) % 0.45/0.65 (step @p116 :rule trans :premises (@p115 @p114)) % 0.45/0.65 (step @p117 :rule symm :premises (@p116)) % 0.45/0.65 (step @p118 :rule cong :premises (@p117) :args ((forall @t24 (or @t81 @t126)))) % 0.45/0.65 (step @p119 :rule trans :premises (@p118 @p112)) % 0.45/0.65 (step @p120 :rule trans :premises (@p119 @p111)) % 0.45/0.65 (step @p121 :rule bool-impl-elim :args (@t13 @t126)) % 0.45/0.65 (step @p122 :rule cong :premises (@p121) :args ((forall @t24 (=> @t13 @t126)))) % 0.45/0.65 (step @p123 :rule trans :premises (@p122 @p120)) % 0.45/0.65 (step @p124 :rule bool-impl-elim :args (@t12 @t71)) % 0.45/0.65 (step @p125 :rule cong :premises (@p124) :args (@t72)) % 0.45/0.65 (step @p126 :rule refl :args (@t13)) % 0.45/0.65 (step @p127 :rule cong :premises (@p126 @p125) :args (@t73)) % 0.45/0.65 (step @p128 :rule cong :premises (@p127) :args (@t74)) % 0.45/0.65 (step @p129 :rule trans :premises (@p128 @p123)) % 0.45/0.65 (step @p130 :rule refl :args (@t75)) % 0.45/0.65 (step @p131 :rule cong :premises (@p130 @p129) :args (@t76)) % 0.45/0.65 (step @p132 :rule cong :premises (@p131) :args (@t77)) % 0.45/0.65 (step @p133 :rule trans :premises (@p132 @p109)) % 0.45/0.65 (step @p134 :rule cong :premises (@p133) :args (@t78)) % 0.45/0.65 (step @p135 :rule eq_resolve :premises (@p36 @p134)) % 0.45/0.65 (step @p136 :rule skolemize :premises (@p135)) % 0.45/0.65 (step @p137 :rule bool-double-not-elim :args (@t127)) % 0.45/0.65 (step @p138 :rule refl :args (@t141)) % 0.45/0.65 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t141 (not @t135)))) % 0.45/0.65 (step @p140 :rule cnf_or_neg :args (@t141 3)) % 0.45/0.65 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.45/0.65 (step @p142 :rule reordering :premises (@p141) :args ((or @t127 @t141))) % 0.45/0.65 (step @p143 :rule chain_m_resolution :premises (@p142 @p136) :args (@t127 @t142 @t143)) % 0.45/0.65 (step @p144 :rule cnf_or_pos :args (@t147)) % 0.45/0.65 (step @p145 :rule reordering :premises (@p144) :args ((or @t135 @t146 (not @t147)))) % 0.45/0.65 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p76) :args (@t146 @t148 (@list @t127 @t147))) % 0.45/0.65 (step @p147 :rule cnf_and_pos :args (@t146 0)) % 0.45/0.65 (step @p148 :rule reordering :premises (@p147) :args ((or @t145 @t149))) % 0.45/0.65 (step @p149 :rule chain_m_resolution :premises (@p148 @p146) :args (@t145 @t150 @t151)) % 0.45/0.65 (step @p150 :rule bool-double-not-elim :args (@t131)) % 0.45/0.65 (step @p151 :rule nary_cong :premises (@p138 @p150) :args ((or @t141 (not @t132)))) % 0.45/0.65 (step @p152 :rule cnf_or_neg :args (@t141 5)) % 0.45/0.65 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.45/0.65 (step @p154 :rule reordering :premises (@p153) :args ((or @t131 @t141))) % 0.45/0.65 (step @p155 :rule chain_m_resolution :premises (@p154 @p136) :args (@t131 @t142 @t143)) % 0.45/0.65 (step @p156 :rule bool-double-not-elim :args (@t133)) % 0.45/0.65 (step @p157 :rule nary_cong :premises (@p138 @p156) :args ((or @t141 (not @t134)))) % 0.45/0.65 (step @p158 :rule cnf_or_neg :args (@t141 4)) % 0.45/0.65 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.45/0.65 (step @p160 :rule reordering :premises (@p159) :args ((or @t133 @t141))) % 0.45/0.65 (step @p161 :rule chain_m_resolution :premises (@p160 @p136) :args (@t133 @t142 @t143)) % 0.45/0.65 (step @p162 :rule bool-double-not-elim :args (@t138)) % 0.45/0.65 (step @p163 :rule nary_cong :premises (@p138 @p162) :args ((or @t141 (not @t139)))) % 0.45/0.65 (step @p164 :rule cnf_or_neg :args (@t141 1)) % 0.45/0.65 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 0.45/0.65 (step @p166 :rule reordering :premises (@p165) :args ((or @t138 @t141))) % 0.45/0.65 (step @p167 :rule chain_m_resolution :premises (@p166 @p136) :args (@t138 @t142 @t143)) % 0.45/0.65 (step @p168 :rule cnf_or_neg :args (@t141 0)) % 0.45/0.65 (step @p169 :rule chain_m_resolution :premises (@p168 @p136) :args ((not @t140) @t142 @t143)) % 0.45/0.65 (step @p170 :rule cnf_or_pos :args (@t155)) % 0.45/0.65 (step @p171 :rule reordering :premises (@p170) :args ((or @t140 @t139 @t134 @t132 @t154 @t153 (not @t155)))) % 0.45/0.65 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p167 @p161 @p155 @p149 @p72) :args (@t153 @t156 (@list @t140 @t138 @t133 @t131 @t145 @t155))) % 0.45/0.65 (step @p173 :rule aci_norm :args ((= (or @t84 @t68) (or @t16 @t83 @t82 @t81 @t80 @t68)))) % 0.45/0.65 (step @p174 :rule refl :args (@t68)) % 0.45/0.65 (step @p175 :rule nary_cong :premises (@p65 @p174) :args ((or @t87 @t68))) % 0.45/0.65 (step @p176 :rule trans :premises (@p175 @p173)) % 0.45/0.65 (step @p177 :rule bool-impl-elim :args (@t18 @t68)) % 0.45/0.65 (step @p178 :rule trans :premises (@p177 @p176)) % 0.45/0.65 (step @p179 :rule cong :premises (@p178) :args (@t69)) % 0.45/0.65 (step @p180 :rule eq_resolve :premises (@p32 @p179)) % 0.45/0.65 (step @p181 :rule instantiate :premises (@p180) :args (@t101)) % 0.45/0.65 (step @p182 :rule cnf_or_pos :args (@t158)) % 0.45/0.65 (step @p183 :rule reordering :premises (@p182) :args ((or @t140 @t139 @t134 @t132 @t154 @t157 (not @t158)))) % 0.45/0.65 (step @p184 :rule chain_m_resolution :premises (@p183 @p169 @p167 @p161 @p155 @p149 @p181) :args (@t157 @t156 (@list @t140 @t138 @t133 @t131 @t145 @t158))) % 0.45/0.65 (step @p185 :rule aci_norm :args ((= @t166 (or @t16 @t164 @t163 @t162 @t161)))) % 0.45/0.65 (step @p186 :rule cong :premises (@p185) :args (@t167)) % 0.45/0.65 (step @p187 :rule quant-merge-prenex :args ((= (forall @t7 @t169) @t167))) % 0.45/0.65 (step @p188 :rule alpha_equiv :args (@t170 (@list @t160 @t159) (@list @t2 @t171))) % 0.45/0.65 (step @p189 :rule refl :args (@t164)) % 0.45/0.65 (step @p190 :rule nary_cong :premises (@p83 @p189 @p188) :args (@t172)) % 0.45/0.65 (step @p191 :rule quant-miniscope-or :args ((= @t169 @t172))) % 0.45/0.65 (step @p192 :rule trans :premises (@p191 @p190)) % 0.45/0.65 (step @p193 :rule symm :premises (@p192)) % 0.45/0.65 (step @p194 :rule cong :premises (@p193) :args ((forall @t7 @t178))) % 0.45/0.65 (step @p195 :rule trans :premises (@p194 @p187)) % 0.45/0.65 (step @p196 :rule trans :premises (@p195 @p186)) % 0.45/0.65 (step @p197 :rule aci_norm :args ((= (or (or @t16 @t164) @t177) @t178))) % 0.45/0.65 (step @p198 :rule refl :args (@t177)) % 0.45/0.65 (step @p199 :rule nary_cong :premises (@p50 @p189) :args ((or @t85 @t164))) % 0.45/0.65 (step @p200 :rule bool-and-de-morgan :args (@t17 @t25 true)) % 0.45/0.65 (step @p201 :rule trans :premises (@p200 @p199)) % 0.45/0.65 (step @p202 :rule nary_cong :premises (@p201 @p198) :args ((or (not @t26) @t177))) % 0.45/0.65 (step @p203 :rule trans :premises (@p202 @p197)) % 0.45/0.65 (step @p204 :rule bool-impl-elim :args (@t26 @t177)) % 0.45/0.65 (step @p205 :rule trans :premises (@p204 @p203)) % 0.45/0.65 (step @p206 :rule cong :premises (@p205) :args ((forall @t7 (=> @t26 @t177)))) % 0.45/0.65 (step @p207 :rule trans :premises (@p206 @p196)) % 0.45/0.65 (step @p208 :rule aci_norm :args ((= @t180 @t175))) % 0.45/0.65 (step @p209 :rule cong :premises (@p208) :args (@t181)) % 0.45/0.65 (step @p210 :rule quant-merge-prenex :args ((= (forall @t24 @t183) @t181))) % 0.45/0.65 (step @p211 :rule alpha_equiv :args (@t184 (@list @t171) @t124)) % 0.45/0.65 (step @p212 :rule nary_cong :premises (@p47 @p211) :args (@t185)) % 0.45/0.65 (step @p213 :rule quant-miniscope-or :args ((= @t183 @t185))) % 0.45/0.65 (step @p214 :rule trans :premises (@p213 @p212)) % 0.45/0.65 (step @p215 :rule symm :premises (@p214)) % 0.45/0.65 (step @p216 :rule cong :premises (@p215) :args ((forall @t24 (or @t81 @t187)))) % 0.45/0.65 (step @p217 :rule trans :premises (@p216 @p210)) % 0.45/0.65 (step @p218 :rule trans :premises (@p217 @p209)) % 0.45/0.65 (step @p219 :rule bool-impl-elim :args (@t13 @t187)) % 0.45/0.65 (step @p220 :rule cong :premises (@p219) :args ((forall @t24 (=> @t13 @t187)))) % 0.45/0.65 (step @p221 :rule trans :premises (@p220 @p218)) % 0.45/0.65 (step @p222 :rule bool-impl-elim :args (@t12 @t186)) % 0.45/0.65 (step @p223 :rule cong :premises (@p222) :args ((forall @t23 (=> @t12 @t186)))) % 0.45/0.65 (step @p224 :rule eq-symm :args (@t22 @t8)) % 0.45/0.65 (step @p225 :rule refl :args (@t29)) % 0.45/0.65 (step @p226 :rule cong :premises (@p225 @p224) :args (@t30)) % 0.45/0.65 (step @p227 :rule refl :args (@t12)) % 0.45/0.65 (step @p228 :rule cong :premises (@p227 @p226) :args (@t31)) % 0.45/0.65 (step @p229 :rule cong :premises (@p228) :args (@t32)) % 0.45/0.65 (step @p230 :rule trans :premises (@p229 @p223)) % 0.45/0.65 (step @p231 :rule cong :premises (@p126 @p230) :args (@t33)) % 0.45/0.65 (step @p232 :rule cong :premises (@p231) :args (@t34)) % 0.45/0.65 (step @p233 :rule trans :premises (@p232 @p221)) % 0.45/0.65 (step @p234 :rule refl :args (@t26)) % 0.45/0.65 (step @p235 :rule cong :premises (@p234 @p233) :args (@t35)) % 0.45/0.65 (step @p236 :rule cong :premises (@p235) :args (@t36)) % 0.45/0.65 (step @p237 :rule trans :premises (@p236 @p207)) % 0.45/0.65 (step @p238 :rule eq_resolve :premises (@p7 @p237)) % 0.45/0.65 (step @p239 :rule instantiate :premises (@p238) :args ((@list @t100 @t128 @t99))) % 0.45/0.65 (step @p240 :rule aci_norm :args ((= (or @t84 @t58) (or @t16 @t83 @t82 @t81 @t80 @t58)))) % 0.45/0.65 (step @p241 :rule refl :args (@t58)) % 0.45/0.65 (step @p242 :rule nary_cong :premises (@p65 @p241) :args ((or @t87 @t58))) % 0.45/0.65 (step @p243 :rule trans :premises (@p242 @p240)) % 0.45/0.65 (step @p244 :rule bool-impl-elim :args (@t18 @t58)) % 0.45/0.65 (step @p245 :rule trans :premises (@p244 @p243)) % 0.45/0.65 (step @p246 :rule cong :premises (@p245) :args (@t59)) % 0.45/0.65 (step @p247 :rule eq_resolve :premises (@p13 @p246)) % 0.45/0.65 (step @p248 :rule instantiate :premises (@p247) :args (@t101)) % 0.45/0.65 (step @p249 :rule cnf_or_pos :args (@t189)) % 0.45/0.65 (step @p250 :rule reordering :premises (@p249) :args ((or @t140 @t139 @t134 @t132 @t154 @t188 (not @t189)))) % 0.45/0.65 (step @p251 :rule chain_m_resolution :premises (@p250 @p169 @p167 @p161 @p155 @p149 @p248) :args (@t188 @t156 (@list @t140 @t138 @t133 @t131 @t145 @t189))) % 0.45/0.65 (step @p252 :rule cnf_and_pos :args (@t146 1)) % 0.45/0.65 (step @p253 :rule reordering :premises (@p252) :args ((or @t144 @t149))) % 0.45/0.65 (step @p254 :rule chain_m_resolution :premises (@p253 @p146) :args (@t144 @t150 @t151)) % 0.45/0.65 (step @p255 :rule cnf_or_pos :args (@t194)) % 0.45/0.65 (step @p256 :rule reordering :premises (@p255) :args ((or @t140 @t134 @t193 @t192 @t191 (not @t194)))) % 0.45/0.65 (step @p257 :rule chain_m_resolution :premises (@p256 @p169 @p161 @p254 @p251 @p239) :args (@t191 (@list true false false false false) (@list @t140 @t133 @t144 @t188 @t194))) % 0.45/0.65 (step @p258 :rule cnf_or_neg :args (@t141 6)) % 0.45/0.65 (step @p259 :rule chain_m_resolution :premises (@p258 @p136) :args ((not @t129) @t142 @t143)) % 0.45/0.65 (step @p260 :rule cnf_equiv_pos2 :args (@t191)) % 0.45/0.65 (step @p261 :rule reordering :premises (@p260) :args ((or @t129 @t195 (not @t191)))) % 0.45/0.65 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p257) :args (@t195 (@list true false) (@list @t129 @t191))) % 0.45/0.65 (step @p263 :rule instantiate :premises (@p180) :args ((@list @t100 @t98 @t99))) % 0.45/0.65 (step @p264 :rule cnf_or_pos :args (@t198)) % 0.45/0.65 (step @p265 :rule reordering :premises (@p264) :args ((or @t140 @t139 @t134 @t132 @t154 @t197 (not @t198)))) % 0.45/0.65 (step @p266 :rule chain_m_resolution :premises (@p265 @p169 @p167 @p161 @p155 @p149 @p263) :args (@t197 @t156 (@list @t140 @t138 @t133 @t131 @t145 @t198))) % 0.45/0.65 (step @p267 :rule aci_norm :args ((= (or (or @t16 @t93) @t204) (or @t16 @t93 @t204)))) % 0.45/0.65 (step @p268 :rule refl :args (@t204)) % 0.45/0.65 (step @p269 :rule nary_cong :premises (@p50 @p81) :args ((or @t85 @t93))) % 0.45/0.65 (step @p270 :rule bool-and-de-morgan :args (@t17 @t44 true)) % 0.45/0.65 (step @p271 :rule trans :premises (@p270 @p269)) % 0.45/0.65 (step @p272 :rule nary_cong :premises (@p271 @p268) :args ((or (not @t45) @t204))) % 0.45/0.65 (step @p273 :rule trans :premises (@p272 @p267)) % 0.45/0.65 (step @p274 :rule bool-impl-elim :args (@t45 @t204)) % 0.45/0.65 (step @p275 :rule trans :premises (@p274 @p273)) % 0.45/0.65 (step @p276 :rule cong :premises (@p275) :args ((forall @t7 (=> @t45 @t204)))) % 0.45/0.65 (step @p277 :rule aci_norm 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bool-impl-elim :args (@t12 @t212)) % 0.45/0.65 (step @p292 :rule cong :premises (@p291) :args ((forall @t23 (=> @t12 @t212)))) % 0.45/0.65 (step @p293 :rule eq-symm :args (@t37 @t8)) % 0.45/0.65 (step @p294 :rule cong :premises (@p227 @p293) :args (@t38)) % 0.45/0.65 (step @p295 :rule cong :premises (@p294) :args (@t39)) % 0.45/0.65 (step @p296 :rule trans :premises (@p295 @p292)) % 0.45/0.65 (step @p297 :rule cong :premises (@p126 @p296) :args (@t40)) % 0.45/0.65 (step @p298 :rule cong :premises (@p297) :args (@t41)) % 0.45/0.65 (step @p299 :rule trans :premises (@p298 @p290)) % 0.45/0.65 (step @p300 :rule refl :args (@t42)) % 0.45/0.65 (step @p301 :rule cong :premises (@p300 @p299) :args (@t43)) % 0.45/0.65 (step @p302 :rule refl :args (@t45)) % 0.45/0.65 (step @p303 :rule cong :premises (@p302 @p301) :args (@t46)) % 0.45/0.65 (step @p304 :rule cong :premises (@p303) :args (@t47)) % 0.45/0.65 (step @p305 :rule trans :premises (@p304 @p276)) % 0.45/0.65 (step @p306 :rule eq_resolve 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:args ((or @t137 @t214 (not @t215)))) % 0.45/0.65 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p310) :args (@t214 @t148 (@list @t136 @t215))) % 0.45/0.65 (step @p320 :rule instantiate :premises (@p319) :args ((@list @t98 @t99))) % 0.45/0.65 (step @p321 :rule cnf_or_pos :args (@t219)) % 0.45/0.65 (step @p322 :rule reordering :premises (@p321) :args ((or @t134 @t132 @t218 (not @t219)))) % 0.45/0.65 (step @p323 :rule chain_m_resolution :premises (@p322 @p161 @p155 @p320) :args (@t218 (@list false false false) (@list @t133 @t131 @t219))) % 0.45/0.65 (step @p324 :rule refl :args (@t220)) % 0.45/0.65 (step @p325 :rule refl :args (@t221)) % 0.45/0.65 (step @p326 :rule bool-double-not-elim :args (@t190)) % 0.45/0.65 (step @p327 :rule refl :args (@t222)) % 0.45/0.65 (step @p328 :rule refl :args (@t223)) % 0.45/0.65 (step @p329 :rule nary_cong :premises (@p328 @p327 @p326 @p325 @p324) :args ((or @t223 @t222 (not @t195) @t221 @t220))) % 0.45/0.65 (assume-push @p371 @t218) % 0.45/0.65 (assume-push @p372 @t220) % 0.45/0.65 (step @p332 :rule evaluate :args ((= false true))) % 0.45/0.65 (step @p333 :rule true_intro :premises (@p323)) % 0.45/0.65 (step @p334 :rule false_intro :premises (@p262)) % 0.45/0.65 (step @p335 :rule refl :args (@t99)) % 0.45/0.65 (step @p336 :rule symm :premises (@p184)) % 0.45/0.65 (step @p337 :rule symm :premises (@p172)) % 0.45/0.65 (step @p338 :rule symm :premises (@p266)) % 0.45/0.65 (step @p339 :rule trans :premises (@p338 @p337 @p184)) % 0.45/0.65 (step @p340 :rule trans :premises (@p339 @p336)) % 0.45/0.65 (step @p341 :rule refl :args (@t100)) % 0.45/0.65 (step @p342 :rule cong :premises (@p341 @p340 @p335) :args (@t217)) % 0.45/0.65 (step @p343 :rule cong :premises (@p335 @p342) :args (@t218)) % 0.45/0.65 (step @p344 :rule trans :premises (@p343 @p334)) % 0.45/0.65 (step @p345 :rule symm :premises (@p344)) % 0.45/0.65 (step @p346 :rule trans :premises (@p345 @p333)) % 0.45/0.65 (step @p347 false :rule eq_resolve :premises (@p346 @p332)) % 0.45/0.65 (step-pop @p373 :rule scope :premises (@p347)) % 0.45/0.65 (step-pop @p374 :rule scope :premises (@p373)) % 0.45/0.65 (step @p348 :rule process_scope :premises (@p374) :args (false)) % 0.45/0.65 (assume-push @p375 @t153) % 0.45/0.65 (assume-push @p376 @t157) % 0.45/0.65 (assume-push @p377 @t195) % 0.45/0.65 (assume-push @p378 @t197) % 0.45/0.65 (assume-push @p379 @t218) % 0.45/0.65 (step @p334 :rule false_intro :premises (@p262)) % 0.45/0.65 (step @p335 :rule refl :args (@t99)) % 0.45/0.65 (step @p336 :rule symm :premises (@p184)) % 0.45/0.65 (step @p337 :rule symm :premises (@p172)) % 0.45/0.65 (step @p338 :rule symm :premises (@p266)) % 0.45/0.65 (step @p339 :rule trans :premises (@p338 @p337 @p184)) % 0.45/0.65 (step @p340 :rule trans :premises (@p339 @p336)) % 0.45/0.65 (step @p341 :rule refl :args (@t100)) % 0.45/0.65 (step @p342 :rule cong :premises (@p341 @p340 @p335) :args (@t217)) % 0.45/0.65 (step @p343 :rule cong :premises (@p335 @p342) :args (@t218)) % 0.45/0.65 (step @p356 :rule trans :premises (@p343 @p334)) % 0.45/0.65 (step @p357 :rule false_elim :premises (@p356)) % 0.45/0.65 (step @p358 :rule and_intro :premises (@p323 @p357)) % 0.45/0.65 (step-pop @p380 :rule scope :premises (@p358)) % 0.45/0.65 (step-pop @p381 :rule scope :premises (@p380)) % 0.45/0.65 (step-pop @p382 :rule scope :premises (@p381)) % 0.45/0.65 (step-pop @p383 :rule scope :premises (@p382)) % 0.45/0.65 (step-pop @p384 :rule scope :premises (@p383)) % 0.45/0.65 (step @p359 :rule process_scope :premises (@p384) :args (@t224)) % 0.45/0.65 (step @p365 :rule implies_elim :premises (@p359)) % 0.45/0.65 (step @p366 :rule resolution :premises (@p365 @p348) :args (true @t224)) % 0.45/0.65 (step @p367 :rule not_and :premises (@p366)) % 0.45/0.65 (step @p368 :rule eq_resolve :premises (@p367 @p329)) % 0.45/0.65 (step @p369 :rule reordering :premises (@p368) :args ((or @t190 @t223 @t222 @t221 @t220))) % 0.45/0.65 (step @p370 false :rule chain_m_resolution :premises (@p369 @p323 @p266 @p262 @p184 @p172) :args (false (@list false false true false false) (@list @t218 @t197 @t190 @t157 @t153))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------