%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU391+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 : n026.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 08:51:36 AM UTC 2026 % Result : Theorem 0.38s 0.73s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU391+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 % 0.17/0.35 % Computer : n026.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 17:07:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.73 % SZS status Theorem % 0.38/0.73 % SZS output start Proof % 0.38/0.73 ( % 0.38/0.73 (declare-sort $$unsorted 0) % 0.38/0.73 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.empty_set $$unsorted) % 0.38/0.73 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.lower_relstr_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.a_2_1_yellow19 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.filter_of_net_str (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.73 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 0.38/0.73 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 0.38/0.73 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.73 (define @t2 () (tptp.the_InternalRel @t1)) % 0.38/0.73 (define @t3 () (tptp.the_carrier @t1)) % 0.38/0.73 (define @t4 () (tptp.strict_rel_str @t1)) % 0.38/0.73 (define @t5 () (tptp.rel_str @t1)) % 0.38/0.73 (define @t6 () (@list @t1)) % 0.38/0.73 (define @t7 () (@var "B" $$unsorted)) % 0.38/0.73 (define @t8 () (tptp.in @t1 @t7)) % 0.38/0.73 (define @t9 () (@list @t1 @t7)) % 0.38/0.73 (define @t10 () (tptp.join_complete_relstr @t1)) % 0.38/0.73 (define @t11 () (tptp.up_complete_relstr @t1)) % 0.38/0.73 (define @t12 () (tptp.reflexive_relstr @t1)) % 0.38/0.73 (define @t13 () (tptp.empty_carrier @t1)) % 0.38/0.73 (define @t14 () (not @t13)) % 0.38/0.73 (define @t15 () (tptp.complete_relstr @t1)) % 0.38/0.73 (define @t16 () (tptp.lower_bounded_relstr @t1)) % 0.38/0.73 (define @t17 () (tptp.bounded_relstr @t1)) % 0.38/0.73 (define @t18 () (tptp.upper_bounded_relstr @t1)) % 0.38/0.73 (define @t19 () (tptp.with_infima_relstr @t1)) % 0.38/0.73 (define @t20 () (tptp.with_suprema_relstr @t1)) % 0.38/0.73 (define @t21 () (tptp.antisymmetric_relstr @t1)) % 0.38/0.73 (define @t22 () (tptp.transitive_relstr @t1)) % 0.38/0.73 (define @t23 () (tptp.finite @t1)) % 0.38/0.73 (define @t24 () (tptp.empty @t1)) % 0.38/0.73 (define @t25 () (tptp.relation @t1)) % 0.38/0.73 (define @t26 () (@var "C" $$unsorted)) % 0.38/0.73 (define @t27 () (tptp.cartesian_product2 @t1 @t7)) % 0.38/0.73 (define @t28 () (tptp.element @t26 (tptp.powerset @t27))) % 0.38/0.73 (define @t29 () (@list @t1 @t7 @t26)) % 0.38/0.73 (define @t30 () (and @t14 @t15)) % 0.38/0.73 (define @t31 () (tptp.finite @t7)) % 0.38/0.73 (define @t32 () (tptp.powerset @t1)) % 0.38/0.73 (define @t33 () (tptp.element @t7 @t32)) % 0.38/0.73 (define @t34 () (@list @t7)) % 0.38/0.73 (define @t35 () (tptp.trivial_carrier @t1)) % 0.38/0.73 (define @t36 () (and @t14 @t12 @t35)) % 0.38/0.73 (define @t37 () (and @t16 @t18)) % 0.38/0.73 (define @t38 () (tptp.connected_relstr @t1)) % 0.38/0.73 (define @t39 () (tptp.filter_of_net_str @t1 @t7)) % 0.38/0.73 (define @t40 () (= @t39 (tptp.a_2_1_yellow19 @t1 @t7))) % 0.38/0.73 (define @t41 () (tptp.net_str @t7 @t1)) % 0.38/0.73 (define @t42 () (tptp.empty_carrier @t7)) % 0.38/0.73 (define @t43 () (not @t42)) % 0.38/0.73 (define @t44 () (and @t43 @t41)) % 0.38/0.73 (define @t45 () (forall @t34 (=> @t44 @t40))) % 0.38/0.73 (define @t46 () (tptp.one_sorted_str @t1)) % 0.38/0.73 (define @t47 () (and @t14 @t46)) % 0.38/0.73 (define @t48 () (=> @t47 @t45)) % 0.38/0.73 (define @t49 () (forall @t6 @t48)) % 0.38/0.73 (define @t50 () (tptp.rel_str_of @t1 @t7)) % 0.38/0.73 (define @t51 () (tptp.relation_of2 @t7 @t1 @t1)) % 0.38/0.73 (define @t52 () (tptp.powerset @t3)) % 0.38/0.73 (define @t53 () (tptp.cast_as_carrier_subset @t1)) % 0.38/0.73 (define @t54 () (tptp.boole_POSet @t1)) % 0.38/0.73 (define @t55 () (tptp.strict_rel_str @t54)) % 0.38/0.73 (define @t56 () (tptp.relation_of2_as_subset @t26 @t1 @t7)) % 0.38/0.73 (define @t57 () (tptp.relation_of2 @t26 @t1 @t7)) % 0.38/0.73 (define @t58 () (@list @t26)) % 0.38/0.73 (define @t59 () (tptp.relation tptp.empty_set)) % 0.38/0.73 (define @t60 () (tptp.empty tptp.empty_set)) % 0.38/0.73 (define @t61 () (not (tptp.empty @t53))) % 0.38/0.73 (define @t62 () (and @t14 @t5)) % 0.38/0.73 (define @t63 () (tptp.complete_relstr @t54)) % 0.38/0.73 (define @t64 () (tptp.with_infima_relstr @t54)) % 0.38/0.73 (define @t65 () (tptp.with_suprema_relstr @t54)) % 0.38/0.73 (define @t66 () (tptp.boolean_relstr @t54)) % 0.38/0.73 (define @t67 () (tptp.complemented_relstr @t54)) % 0.38/0.73 (define @t68 () (tptp.heyting_relstr @t54)) % 0.38/0.73 (define @t69 () (tptp.distributive_relstr @t54)) % 0.38/0.73 (define @t70 () (not (tptp.v1_yellow_3 @t54))) % 0.38/0.73 (define @t71 () (tptp.join_complete_relstr @t54)) % 0.38/0.73 (define @t72 () (tptp.up_complete_relstr @t54)) % 0.38/0.73 (define @t73 () (tptp.bounded_relstr @t54)) % 0.38/0.73 (define @t74 () (tptp.upper_bounded_relstr @t54)) % 0.38/0.73 (define @t75 () (tptp.lower_bounded_relstr @t54)) % 0.38/0.73 (define @t76 () (tptp.antisymmetric_relstr @t54)) % 0.38/0.73 (define @t77 () (tptp.transitive_relstr @t54)) % 0.38/0.73 (define @t78 () (tptp.reflexive_relstr @t54)) % 0.38/0.73 (define @t79 () (not (tptp.empty_carrier @t54))) % 0.38/0.73 (define @t80 () (and @t61 (tptp.directed_subset @t53 @t1))) % 0.38/0.73 (define @t81 () (not @t24)) % 0.38/0.73 (define @t82 () (tptp.empty @t7)) % 0.38/0.73 (define @t83 () (not @t82)) % 0.38/0.73 (define @t84 () (and @t61 (tptp.filtered_subset @t53 @t1))) % 0.38/0.73 (define @t85 () (@var "D" $$unsorted)) % 0.38/0.73 (define @t86 () (tptp.is_eventually_in @t7 @t26 @t85)) % 0.38/0.73 (define @t87 () (= @t1 @t85)) % 0.38/0.73 (define @t88 () (tptp.powerset (tptp.the_carrier @t7))) % 0.38/0.73 (define @t89 () (tptp.element @t85 @t88)) % 0.38/0.73 (define @t90 () (and @t89 @t87 @t86)) % 0.38/0.73 (define @t91 () (@list @t85)) % 0.38/0.73 (define @t92 () (exists @t91 @t90)) % 0.38/0.73 (define @t93 () (tptp.in @t1 (tptp.a_2_1_yellow19 @t7 @t26))) % 0.38/0.73 (define @t94 () (= @t93 @t92)) % 0.38/0.73 (define @t95 () (tptp.net_str @t26 @t7)) % 0.38/0.73 (define @t96 () (tptp.empty_carrier @t26)) % 0.38/0.73 (define @t97 () (not @t96)) % 0.38/0.73 (define @t98 () (tptp.one_sorted_str @t7)) % 0.38/0.73 (define @t99 () (and @t43 @t98 @t97 @t95)) % 0.38/0.73 (define @t100 () (=> @t99 @t94)) % 0.38/0.73 (define @t101 () (forall @t29 @t100)) % 0.38/0.73 (define @t102 () (tptp.upper_relstr_subset @t7 @t1)) % 0.38/0.73 (define @t103 () (tptp.filtered_subset @t7 @t1)) % 0.38/0.73 (define @t104 () (tptp.element @t7 @t52)) % 0.38/0.73 (define @t105 () (and @t14 @t12 @t22 @t5)) % 0.38/0.73 (define @t106 () (tptp.lower_relstr_subset @t7 @t1)) % 0.38/0.73 (define @t107 () (tptp.directed_subset @t7 @t1)) % 0.38/0.73 (define @t108 () (forall @t58 (= (tptp.in @t26 @t39) (and (tptp.is_eventually_in @t1 @t7 @t26) (tptp.element @t26 @t52))))) % 0.38/0.73 (define @t109 () (forall @t34 (=> @t44 @t108))) % 0.38/0.73 (define @t110 () (=> @t47 @t109)) % 0.38/0.73 (define @t111 () (forall @t6 @t110)) % 0.38/0.73 (define @t112 () (not @t111)) % 0.38/0.73 (define @t113 () (tptp.element @t1 @t7)) % 0.38/0.73 (define @t114 () (= @t1 @t7)) % 0.38/0.73 (define @t115 () (tptp.element @t7 (tptp.powerset @t26))) % 0.38/0.73 (define @t116 () (@var "BOUND_VARIABLE_8829" $$unsorted)) % 0.38/0.73 (define @t117 () (@var "BOUND_VARIABLE_8827" $$unsorted)) % 0.38/0.73 (define @t118 () (= (tptp.in @t116 (tptp.filter_of_net_str @t1 @t117)) (and (tptp.is_eventually_in @t1 @t117 @t116) (tptp.element @t116 @t52)))) % 0.38/0.73 (define @t119 () (not (tptp.net_str @t117 @t1))) % 0.38/0.73 (define @t120 () (tptp.empty_carrier @t117)) % 0.38/0.73 (define @t121 () (not @t46)) % 0.38/0.73 (define @t122 () (or @t13 @t121 @t120 @t119 @t118)) % 0.38/0.73 (define @t123 () (or @t120 @t119 @t118)) % 0.38/0.73 (define @t124 () (or @t13 @t121 @t123)) % 0.38/0.73 (define @t125 () (@list @t1 @t117 @t116)) % 0.38/0.73 (define @t126 () (forall @t125 @t124)) % 0.38/0.73 (define @t127 () (@list @t117 @t116)) % 0.38/0.73 (define @t128 () (forall @t127 @t124)) % 0.38/0.73 (define @t129 () (forall @t127 @t123)) % 0.38/0.73 (define @t130 () (@var "BOUND_VARIABLE_8813" $$unsorted)) % 0.38/0.73 (define @t131 () (or @t13 @t121 @t129)) % 0.38/0.73 (define @t132 () (= (tptp.in @t130 @t39) (and (tptp.is_eventually_in @t1 @t7 @t130) (tptp.element @t130 @t52)))) % 0.38/0.73 (define @t133 () (not @t41)) % 0.38/0.73 (define @t134 () (or @t42 @t133 @t132)) % 0.38/0.73 (define @t135 () (forall (@list @t7 @t130) @t134)) % 0.38/0.73 (define @t136 () (or @t13 @t121 @t135)) % 0.38/0.73 (define @t137 () (or @t13 @t121)) % 0.38/0.73 (define @t138 () (not @t47)) % 0.38/0.73 (define @t139 () (@list @t130)) % 0.38/0.73 (define @t140 () (forall @t139 @t134)) % 0.38/0.73 (define @t141 () (forall @t139 @t132)) % 0.38/0.73 (define @t142 () (or @t42 @t133 @t141)) % 0.38/0.73 (define @t143 () (or @t42 @t133 @t108)) % 0.38/0.73 (define @t144 () (or @t42 @t133)) % 0.38/0.73 (define @t145 () (not @t43)) % 0.38/0.73 (define @t146 () (not @t44)) % 0.38/0.73 (define @t147 () (forall @t125 @t122)) % 0.38/0.73 (define @t148 () (@quantifiers_skolemize @t147 0)) % 0.38/0.73 (define @t149 () (@quantifiers_skolemize @t147 2)) % 0.38/0.73 (define @t150 () (tptp.element @t149 (tptp.powerset (tptp.the_carrier @t148)))) % 0.38/0.73 (define @t151 () (@quantifiers_skolemize @t147 1)) % 0.38/0.73 (define @t152 () (tptp.is_eventually_in @t148 @t151 @t149)) % 0.38/0.73 (define @t153 () (and @t152 @t150)) % 0.38/0.73 (define @t154 () (tptp.filter_of_net_str @t148 @t151)) % 0.38/0.73 (define @t155 () (tptp.in @t149 @t154)) % 0.38/0.73 (define @t156 () (= @t155 @t153)) % 0.38/0.73 (define @t157 () (tptp.net_str @t151 @t148)) % 0.38/0.73 (define @t158 () (not @t157)) % 0.38/0.73 (define @t159 () (tptp.empty_carrier @t151)) % 0.38/0.73 (define @t160 () (tptp.one_sorted_str @t148)) % 0.38/0.73 (define @t161 () (not @t160)) % 0.38/0.73 (define @t162 () (tptp.empty_carrier @t148)) % 0.38/0.73 (define @t163 () (or @t162 @t161 @t159 @t158 @t156)) % 0.38/0.73 (define @t164 () (@list true)) % 0.38/0.73 (define @t165 () (@list @t163)) % 0.38/0.73 (define @t166 () (not @t153)) % 0.38/0.73 (define @t167 () (and @t150 @t152)) % 0.38/0.73 (define @t168 () (tptp.is_eventually_in @t7 @t26 @t1)) % 0.38/0.73 (define @t169 () (tptp.element @t1 @t88)) % 0.38/0.73 (define @t170 () (= @t93 (and @t169 @t168))) % 0.38/0.73 (define @t171 () (not @t95)) % 0.38/0.73 (define @t172 () (not @t98)) % 0.38/0.73 (define @t173 () (not @t168)) % 0.38/0.73 (define @t174 () (not @t169)) % 0.38/0.73 (define @t175 () (or @t174 @t173)) % 0.38/0.73 (define @t176 () (= @t93 (not @t175))) % 0.38/0.73 (define @t177 () (not @t97)) % 0.38/0.73 (define @t178 () (or @t145 @t172 @t177 @t171)) % 0.38/0.73 (define @t179 () (not (= @t1 @t1))) % 0.38/0.73 (define @t180 () (or @t174 @t179 @t173)) % 0.38/0.73 (define @t181 () (not @t86)) % 0.38/0.73 (define @t182 () (not @t87)) % 0.38/0.73 (define @t183 () (not @t89)) % 0.38/0.73 (define @t184 () (or @t182 @t183 @t182 @t181)) % 0.38/0.73 (define @t185 () (or @t183 @t182 @t181)) % 0.38/0.73 (define @t186 () (forall @t91 (not @t90))) % 0.38/0.73 (define @t187 () (not @t186)) % 0.38/0.73 (define @t188 () (tptp.a_2_1_yellow19 @t148 @t151)) % 0.38/0.73 (define @t189 () (tptp.in @t149 @t188)) % 0.38/0.73 (define @t190 () (= @t189 @t167)) % 0.38/0.73 (define @t191 () (or @t162 @t161 @t159 @t158 @t190)) % 0.38/0.73 (define @t192 () (@list true false true false false)) % 0.38/0.73 (define @t193 () (not @t190)) % 0.38/0.73 (define @t194 () (not @t167)) % 0.38/0.73 (define @t195 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 0.38/0.73 (define @t196 () (= (tptp.filter_of_net_str @t1 @t195) (tptp.a_2_1_yellow19 @t1 @t195))) % 0.38/0.73 (define @t197 () (not (tptp.net_str @t195 @t1))) % 0.38/0.73 (define @t198 () (tptp.empty_carrier @t195)) % 0.38/0.73 (define @t199 () (or @t198 @t197 @t196)) % 0.38/0.73 (define @t200 () (or @t13 @t121 @t199)) % 0.38/0.73 (define @t201 () (forall (@list @t1 @t195) @t200)) % 0.38/0.73 (define @t202 () (@list @t195)) % 0.38/0.73 (define @t203 () (forall @t202 @t200)) % 0.38/0.73 (define @t204 () (forall @t202 @t199)) % 0.38/0.73 (define @t205 () (or @t13 @t121 @t204)) % 0.38/0.73 (define @t206 () (or @t42 @t133 @t40)) % 0.38/0.73 (define @t207 () (forall @t34 @t206)) % 0.38/0.73 (define @t208 () (or @t13 @t121 @t207)) % 0.38/0.73 (define @t209 () (= @t154 @t188)) % 0.38/0.73 (define @t210 () (or @t162 @t161 @t159 @t158 @t209)) % 0.38/0.73 (define @t211 () (not @t189)) % 0.38/0.73 (define @t212 () (not @t209)) % 0.38/0.73 (define @t213 () (not @t155)) % 0.38/0.73 (define @t214 () (and @t213 @t209)) % 0.38/0.73 (define @t215 () (and @t155 @t209)) % 0.38/0.73 (define @t216 () (@list false false)) % 0.38/0.73 (define @t217 () (@list false)) % 0.38/0.73 (define @t218 () (@list @t167)) % 0.38/0.73 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 0.38/0.73 (assume @p2 (forall @t9 (=> @t8 (not (tptp.in @t7 @t1))))) % 0.38/0.73 (assume @p3 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t15) (and @t14 @t12 @t11 @t10))))) % 0.38/0.73 (assume @p4 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t10) (and @t14 @t12 @t16))))) % 0.38/0.73 (assume @p5 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t22 @t21 @t20 @t16 @t11) (and @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t16 @t18 @t17))))) % 0.38/0.73 (assume @p6 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t21 @t10) (and @t14 @t12 @t21 @t19))))) % 0.38/0.73 (assume @p7 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t21 @t18 @t10) (and @t14 @t12 @t21 @t20 @t18))))) % 0.38/0.73 (assume @p8 (forall @t6 (=> @t24 @t23))) % 0.38/0.73 (assume @p9 (forall @t6 (=> @t5 (=> @t20 @t14)))) % 0.38/0.73 (assume @p10 (forall @t6 (=> @t24 @t25))) % 0.38/0.73 (assume @p11 (forall @t29 (=> @t28 (tptp.relation @t26)))) % 0.38/0.73 (assume @p12 (forall @t6 (=> @t5 (=> @t30 (and @t14 @t20 @t19))))) % 0.38/0.73 (assume @p13 (forall @t6 (=> @t23 (forall @t34 (=> @t33 @t31))))) % 0.38/0.73 (assume @p14 (forall @t6 (=> @t5 (=> @t19 @t14)))) % 0.38/0.73 (assume @p15 (forall @t6 (=> @t5 (=> @t36 (and @t14 @t12 @t22 @t21 @t15))))) % 0.38/0.73 (assume @p16 (forall @t6 (=> @t5 (=> @t30 (and @t14 @t17))))) % 0.38/0.73 (assume @p17 (forall @t6 (=> @t5 (=> @t17 @t37)))) % 0.38/0.73 (assume @p18 (forall @t6 (=> @t5 (=> @t36 (and @t14 @t12 @t38))))) % 0.38/0.73 (assume @p19 (forall @t6 (=> @t5 (=> @t37 @t17)))) % 0.38/0.73 (assume @p20 (forall @t6 (=> @t5 (=> (and @t12 @t20 @t11) (and @t14 @t12 @t20 @t18))))) % 0.38/0.73 (assume @p21 @t49) % 0.38/0.73 (assume @p22 (forall @t9 (=> @t51 (and (tptp.strict_rel_str @t50) (tptp.rel_str @t50))))) % 0.38/0.73 (assume @p23 true) % 0.38/0.73 (assume @p24 (forall @t6 (=> @t46 (tptp.element @t53 @t52)))) % 0.38/0.73 (assume @p25 (forall @t9 (=> (and @t14 @t46 @t43 @t41) (tptp.element @t39 (tptp.powerset (tptp.the_carrier (tptp.boole_POSet @t53))))))) % 0.38/0.73 (assume @p26 (forall @t6 (and @t55 (tptp.rel_str @t54)))) % 0.38/0.73 (assume @p27 (forall @t6 (=> @t5 @t46))) % 0.38/0.73 (assume @p28 (forall @t6 (=> @t46 (forall @t34 (=> @t41 (tptp.rel_str @t7)))))) % 0.38/0.73 (assume @p29 (forall @t29 (=> @t56 @t28))) % 0.38/0.73 (assume @p30 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 0.38/0.73 (assume @p31 (exists @t6 @t5)) % 0.38/0.73 (assume @p32 (exists @t6 @t46)) % 0.38/0.73 (assume @p33 (forall @t6 (=> @t46 (exists @t34 @t41)))) % 0.38/0.73 (assume @p34 (forall @t9 (exists @t58 @t57))) % 0.38/0.73 (assume @p35 (forall @t6 (exists @t34 (tptp.element @t7 @t1)))) % 0.38/0.73 (assume @p36 (forall @t9 (exists @t58 @t56))) % 0.38/0.73 (assume @p37 (and @t60 @t59 (tptp.relation_empty_yielding tptp.empty_set))) % 0.38/0.73 (assume @p38 (forall @t9 (=> (and @t23 @t31) (tptp.finite @t27)))) % 0.38/0.73 (assume @p39 (forall @t6 (=> @t62 (and @t61 (tptp.lower_relstr_subset @t53 @t1) (tptp.upper_relstr_subset @t53 @t1))))) % 0.38/0.73 (assume @p40 (forall @t6 (=> @t47 (not (tptp.empty @t3))))) % 0.38/0.73 (assume @p41 (forall @t6 (not (tptp.empty @t32)))) % 0.38/0.73 (assume @p42 (forall @t6 (and @t79 @t55 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63))) % 0.38/0.73 (assume @p43 (forall @t6 (=> @t47 @t61))) % 0.38/0.73 (assume @p44 (forall @t6 (=> (and @t20 @t5) @t80))) % 0.38/0.73 (assume @p45 (forall @t6 (=> @t81 (and @t79 (not (tptp.trivial_carrier @t54)) @t55 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63)))) % 0.38/0.73 (assume @p46 (forall @t6 (=> @t62 @t61))) % 0.38/0.73 (assume @p47 (forall @t6 (=> (and @t14 @t18 @t5) @t80))) % 0.38/0.73 (assume @p48 (and @t60 @t59)) % 0.38/0.73 (assume @p49 (forall @t9 (=> (and @t81 @t83) (not (tptp.empty @t27))))) % 0.38/0.73 (assume @p50 (forall @t6 (=> (and @t19 @t5) @t84))) % 0.38/0.73 (assume @p51 (forall @t6 (=> (and @t14 @t16 @t5) @t84))) % 0.38/0.73 (assume @p52 (forall @t6 (and @t79 @t55 @t78 @t77 @t76))) % 0.38/0.73 (assume @p53 (forall @t6 (and @t79 @t55 @t78 @t77 @t76 @t75 @t74 @t73 @t65 @t64 @t63))) % 0.38/0.73 (assume @p54 (forall @t6 (and @t79 @t55 @t78 @t77 @t76 @t75 @t74 @t73 (tptp.directed_relstr @t54) @t72 @t71 @t70 @t65 @t64 @t63))) % 0.38/0.73 (assume @p55 @t101) % 0.38/0.73 (assume @p56 (forall @t9 (=> @t51 (forall (@list @t26 @t85) (=> (= @t50 (tptp.rel_str_of @t26 @t85)) (and (= @t1 @t26) (= @t7 @t85))))))) % 0.38/0.73 (assume @p57 (forall @t6 (=> @t105 (exists @t34 (and @t104 @t83 @t103 @t102))))) % 0.38/0.73 (assume @p58 (forall @t6 (=> (and @t12 @t22 @t21 @t20 @t19 @t5) (exists @t34 (and @t104 @t83 @t107 @t103 @t106 @t102))))) % 0.38/0.73 (assume @p59 (exists @t6 (and @t5 @t14 @t12 @t22 @t21 @t38))) % 0.38/0.73 (assume @p60 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15 @t16 @t18 @t17 @t11 @t10))) % 0.38/0.73 (assume @p61 (exists @t6 (and @t81 @t23))) % 0.38/0.73 (assume @p62 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t15))) % 0.38/0.73 (assume @p63 (exists @t6 (and @t24 @t25))) % 0.38/0.73 (assume @p64 (forall @t6 (=> @t81 (exists @t34 (and @t33 @t83))))) % 0.38/0.73 (assume @p65 (forall @t6 (=> @t5 (exists @t34 (and @t104 @t107 @t103))))) % 0.38/0.73 (assume @p66 (exists @t6 (and @t5 @t14 (not @t35) @t4 @t12 @t22 @t21 @t16 @t18 @t17 (not (tptp.v1_yellow_3 @t1)) (tptp.distributive_relstr @t1) (tptp.heyting_relstr @t1) (tptp.complemented_relstr @t1) (tptp.boolean_relstr @t1) @t20 @t19))) % 0.38/0.73 (assume @p67 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15 @t35))) % 0.38/0.73 (assume @p68 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15))) % 0.38/0.73 (assume @p69 (exists @t6 (and @t81 @t25))) % 0.38/0.73 (assume @p70 (forall @t6 (exists @t34 (and @t33 @t82)))) % 0.38/0.73 (assume @p71 (forall @t6 (=> (and @t14 @t12 @t5) (exists @t34 (and @t104 @t83 @t31 @t107 @t103))))) % 0.38/0.73 (assume @p72 (forall @t6 (exists @t34 (and (tptp.element @t7 (tptp.powerset @t32)) @t83 @t31)))) % 0.38/0.73 (assume @p73 (exists @t6 (and @t5 @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t16 @t18 @t17))) % 0.38/0.73 (assume @p74 (forall @t6 (=> @t81 (exists @t34 (and @t33 @t83 @t31))))) % 0.38/0.73 (assume @p75 (exists @t6 (and @t25 (tptp.relation_empty_yielding @t1)))) % 0.38/0.73 (assume @p76 (exists @t6 (and @t46 @t14))) % 0.38/0.73 (assume @p77 (forall @t6 (=> @t46 (exists @t34 (and (tptp.element @t7 (tptp.powerset @t52)) @t83 @t31))))) % 0.38/0.73 (assume @p78 (exists @t6 (and @t5 @t14 @t4 @t22 (tptp.directed_relstr @t1)))) % 0.38/0.73 (assume @p79 (forall @t6 (=> @t47 (exists @t34 (and @t104 @t83))))) % 0.38/0.73 (assume @p80 (forall @t6 (=> @t5 (exists @t34 (and @t104 @t106 @t102))))) % 0.38/0.73 (assume @p81 (forall @t6 (=> @t62 (exists @t34 (and @t104 @t83 @t106 @t102))))) % 0.38/0.73 (assume @p82 (forall @t6 (=> @t105 (exists @t34 (and @t104 @t83 @t107 @t106))))) % 0.38/0.73 (assume @p83 (forall @t29 (= @t56 @t57))) % 0.38/0.73 (assume @p84 (forall @t9 (tptp.subset @t1 @t1))) % 0.38/0.73 (assume @p85 @t112) % 0.38/0.73 (assume @p86 (forall @t9 (=> @t8 @t113))) % 0.38/0.73 (assume @p87 (forall @t9 (=> @t113 (or @t82 @t8)))) % 0.38/0.73 (assume @p88 (forall @t9 (=> (forall @t58 (= (tptp.in @t26 @t1) (tptp.in @t26 @t7))) @t114))) % 0.38/0.73 (assume @p89 (forall @t9 (= (tptp.element @t1 (tptp.powerset @t7)) (tptp.subset @t1 @t7)))) % 0.38/0.73 (assume @p90 (forall @t29 (=> (and @t8 @t115) (tptp.element @t1 @t26)))) % 0.38/0.73 (assume @p91 (forall @t29 (not (and @t8 @t115 (tptp.empty @t26))))) % 0.38/0.73 (assume @p92 (forall @t6 (=> @t24 (= @t1 tptp.empty_set)))) % 0.38/0.73 (assume @p93 (forall @t9 (not (and @t8 @t82)))) % 0.38/0.73 (assume @p94 (forall @t9 (not (and @t24 (not @t114) @t82)))) % 0.38/0.73 (step @p95 :rule aci_norm :args ((= @t124 @t122))) % 0.38/0.73 (step @p96 :rule cong :premises (@p95) :args (@t126)) % 0.38/0.73 (step @p97 :rule quant-merge-prenex :args ((= (forall @t6 @t128) @t126))) % 0.38/0.73 (step @p98 :rule alpha_equiv :args (@t129 (@list @t117 @t116) (@list @t7 @t130))) % 0.38/0.73 (step @p99 :rule refl :args (@t121)) % 0.38/0.73 (step @p100 :rule refl :args (@t13)) % 0.38/0.73 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98) :args (@t131)) % 0.38/0.73 (step @p102 :rule quant-miniscope-or :args ((= @t128 @t131))) % 0.38/0.73 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.73 (step @p104 :rule symm :premises (@p103)) % 0.38/0.73 (step @p105 :rule cong :premises (@p104) :args ((forall @t6 @t136))) % 0.38/0.73 (step @p106 :rule trans :premises (@p105 @p97)) % 0.38/0.73 (step @p107 :rule trans :premises (@p106 @p96)) % 0.38/0.73 (step @p108 :rule aci_norm :args ((= (or @t137 @t135) @t136))) % 0.38/0.73 (step @p109 :rule refl :args (@t135)) % 0.38/0.73 (step @p110 :rule bool-double-not-elim :args (@t13)) % 0.38/0.73 (step @p111 :rule nary_cong :premises (@p110 @p99) :args ((or (not @t14) @t121))) % 0.38/0.73 (step @p112 :rule bool-and-de-morgan :args (@t14 @t46 true)) % 0.38/0.73 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.73 (step @p114 :rule nary_cong :premises (@p113 @p109) :args ((or @t138 @t135))) % 0.38/0.73 (step @p115 :rule trans :premises (@p114 @p108)) % 0.38/0.73 (step @p116 :rule bool-impl-elim :args (@t47 @t135)) % 0.38/0.73 (step @p117 :rule trans :premises (@p116 @p115)) % 0.38/0.73 (step @p118 :rule cong :premises (@p117) :args ((forall @t6 (=> @t47 @t135)))) % 0.38/0.73 (step @p119 :rule trans :premises (@p118 @p107)) % 0.38/0.73 (step @p120 :rule quant-merge-prenex :args ((= (forall @t34 @t140) @t135))) % 0.38/0.73 (step @p121 :rule alpha_equiv :args (@t141 (@list @t130) (@list @t26))) % 0.38/0.73 (step @p122 :rule refl :args (@t133)) % 0.38/0.73 (step @p123 :rule refl :args (@t42)) % 0.38/0.73 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t142)) % 0.38/0.73 (step @p125 :rule quant-miniscope-or :args ((= @t140 @t142))) % 0.38/0.73 (step @p126 :rule trans :premises (@p125 @p124)) % 0.38/0.73 (step @p127 :rule symm :premises (@p126)) % 0.38/0.73 (step @p128 :rule cong :premises (@p127) :args ((forall @t34 @t143))) % 0.38/0.73 (step @p129 :rule trans :premises (@p128 @p120)) % 0.38/0.73 (step @p130 :rule aci_norm :args ((= (or @t144 @t108) @t143))) % 0.38/0.73 (step @p131 :rule refl :args (@t108)) % 0.38/0.73 (step @p132 :rule bool-double-not-elim :args (@t42)) % 0.38/0.73 (step @p133 :rule nary_cong :premises (@p132 @p122) :args ((or @t145 @t133))) % 0.38/0.73 (step @p134 :rule bool-and-de-morgan :args (@t43 @t41 true)) % 0.38/0.73 (step @p135 :rule trans :premises (@p134 @p133)) % 0.38/0.73 (step @p136 :rule nary_cong :premises (@p135 @p131) :args ((or @t146 @t108))) % 0.38/0.73 (step @p137 :rule trans :premises (@p136 @p130)) % 0.38/0.73 (step @p138 :rule bool-impl-elim :args (@t44 @t108)) % 0.38/0.73 (step @p139 :rule trans :premises (@p138 @p137)) % 0.38/0.73 (step @p140 :rule cong :premises (@p139) :args (@t109)) % 0.38/0.73 (step @p141 :rule trans :premises (@p140 @p129)) % 0.38/0.73 (step @p142 :rule refl :args (@t47)) % 0.38/0.73 (step @p143 :rule cong :premises (@p142 @p141) :args (@t110)) % 0.38/0.73 (step @p144 :rule cong :premises (@p143) :args (@t111)) % 0.38/0.73 (step @p145 :rule trans :premises (@p144 @p119)) % 0.38/0.73 (step @p146 :rule cong :premises (@p145) :args (@t112)) % 0.38/0.73 (step @p147 :rule eq_resolve :premises (@p85 @p146)) % 0.38/0.73 (step @p148 :rule skolemize :premises (@p147)) % 0.38/0.73 (step @p149 :rule cnf_or_neg :args (@t163 4)) % 0.38/0.73 (step @p150 :rule chain_m_resolution :premises (@p149 @p148) :args ((not @t156) @t164 @t165)) % 0.38/0.73 (step @p151 :rule cnf_equiv_neg1 :args (@t156)) % 0.38/0.73 (step @p152 :rule reordering :premises (@p151) :args ((or @t155 @t153 @t156))) % 0.38/0.73 (step @p153 :rule cnf_and_pos :args (@t153 0)) % 0.38/0.73 (step @p154 :rule reordering :premises (@p153) :args ((or @t152 @t166))) % 0.38/0.73 (step @p155 :rule cnf_and_pos :args (@t153 1)) % 0.38/0.73 (step @p156 :rule reordering :premises (@p155) :args ((or @t150 @t166))) % 0.38/0.73 (step @p157 :rule cnf_and_neg :args (@t167)) % 0.38/0.73 (step @p158 :rule reordering :premises (@p157) :args ((or (not @t152) (not @t150) @t167))) % 0.38/0.73 (step @p159 :rule aci_norm :args ((= (or (or @t42 @t172 @t96 @t171) @t170) (or @t42 @t172 @t96 @t171 @t170)))) % 0.38/0.73 (step @p160 :rule bool-double-not-elim :args (@t168)) % 0.38/0.73 (step @p161 :rule bool-double-not-elim :args (@t169)) % 0.38/0.73 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((and (not @t174) (not @t173)))) % 0.38/0.73 (step @p163 :rule bool-or-de-morgan :args (@t174 @t173 false)) % 0.38/0.73 (step @p164 :rule trans :premises (@p163 @p162)) % 0.38/0.73 (step @p165 :rule refl :args (@t93)) % 0.38/0.73 (step @p166 :rule cong :premises (@p165 @p164) :args (@t176)) % 0.38/0.73 (step @p167 :rule refl :args (@t171)) % 0.38/0.73 (step @p168 :rule bool-double-not-elim :args (@t96)) % 0.38/0.73 (step @p169 :rule refl :args (@t172)) % 0.38/0.73 (step @p170 :rule nary_cong :premises (@p132 @p169 @p168 @p167) :args (@t178)) % 0.38/0.73 (step @p171 :rule aci_norm :args ((= (or @t145 (or @t172 (or @t177 @t171))) @t178))) % 0.38/0.73 (step @p172 :rule trans :premises (@p171 @p170)) % 0.38/0.73 (step @p173 :rule bool-and-de-morgan :args (@t97 @t95 true)) % 0.38/0.73 (step @p174 :rule nary_cong :premises (@p169 @p173) :args ((or @t172 (not (and @t97 @t95))))) % 0.38/0.73 (step @p175 :rule bool-and-de-morgan :args (@t98 @t97 (and @t95))) % 0.38/0.73 (step @p176 :rule trans :premises (@p175 @p174)) % 0.38/0.73 (step @p177 :rule refl :args (@t145)) % 0.38/0.73 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t145 (not (and @t98 @t97 @t95))))) % 0.38/0.73 (step @p179 :rule bool-and-de-morgan :args (@t43 @t98 (and @t97 @t95))) % 0.38/0.73 (step @p180 :rule trans :premises (@p179 @p178)) % 0.38/0.73 (step @p181 :rule trans :premises (@p180 @p172)) % 0.38/0.73 (step @p182 :rule nary_cong :premises (@p181 @p166) :args ((or (not @t99) @t176))) % 0.38/0.73 (step @p183 :rule trans :premises (@p182 @p159)) % 0.38/0.73 (step @p184 :rule bool-impl-elim :args (@t99 @t176)) % 0.38/0.73 (step @p185 :rule trans :premises (@p184 @p183)) % 0.38/0.73 (step @p186 :rule cong :premises (@p185) :args ((forall @t29 (=> @t99 @t176)))) % 0.38/0.73 (step @p187 :rule aci_norm :args ((= (or @t174 false @t173) @t175))) % 0.38/0.73 (step @p188 :rule refl :args (@t173)) % 0.38/0.73 (step @p189 :rule evaluate :args ((not true))) % 0.38/0.73 (step @p190 :rule eq-refl :args (@t1)) % 0.38/0.73 (step @p191 :rule cong :premises (@p190) :args (@t179)) % 0.38/0.73 (step @p192 :rule trans :premises (@p191 @p189)) % 0.38/0.73 (step @p193 :rule refl :args (@t174)) % 0.38/0.73 (step @p194 :rule nary_cong :premises (@p193 @p192 @p188) :args (@t180)) % 0.38/0.73 (step @p195 :rule trans :premises (@p194 @p187)) % 0.38/0.73 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t91 (or (not (= @t85 @t1)) @t183 @t182 @t181)) @t180))) % 0.38/0.73 (step @p197 :rule refl :args (@t181)) % 0.38/0.73 (step @p198 :rule refl :args (@t182)) % 0.38/0.73 (step @p199 :rule refl :args (@t183)) % 0.38/0.73 (step @p200 :rule eq-symm :args (@t1 @t85)) % 0.38/0.73 (step @p201 :rule cong :premises (@p200) :args (@t182)) % 0.38/0.73 (step @p202 :rule nary_cong :premises (@p201 @p199 @p198 @p197) :args (@t184)) % 0.38/0.73 (step @p203 :rule aci_norm :args ((= @t185 @t184))) % 0.38/0.73 (step @p204 :rule trans :premises (@p203 @p202)) % 0.38/0.73 (step @p205 :rule cong :premises (@p204) :args ((forall @t91 @t185))) % 0.38/0.73 (step @p206 :rule trans :premises (@p205 @p196)) % 0.38/0.73 (step @p207 :rule trans :premises (@p206 @p195)) % 0.38/0.73 (step @p208 :rule aci_norm :args ((= (or @t183 (or @t182 @t181)) @t185))) % 0.38/0.73 (step @p209 :rule bool-and-de-morgan :args (@t87 @t86 true)) % 0.38/0.73 (step @p210 :rule nary_cong :premises (@p199 @p209) :args ((or @t183 (not (and @t87 @t86))))) % 0.38/0.73 (step @p211 :rule bool-and-de-morgan :args (@t89 @t87 (and @t86))) % 0.38/0.73 (step @p212 :rule trans :premises (@p211 @p210)) % 0.38/0.73 (step @p213 :rule trans :premises (@p212 @p208)) % 0.38/0.73 (step @p214 :rule cong :premises (@p213) :args (@t186)) % 0.38/0.73 (step @p215 :rule trans :premises (@p214 @p207)) % 0.38/0.73 (step @p216 :rule cong :premises (@p215) :args (@t187)) % 0.38/0.73 (step @p217 :rule exists-elim :args ((= @t92 @t187))) % 0.38/0.73 (step @p218 :rule trans :premises (@p217 @p216)) % 0.38/0.73 (step @p219 :rule refl :args (@t93)) % 0.38/0.73 (step @p220 :rule cong :premises (@p219 @p218) :args (@t94)) % 0.38/0.73 (step @p221 :rule refl :args (@t99)) % 0.38/0.73 (step @p222 :rule cong :premises (@p221 @p220) :args (@t100)) % 0.38/0.73 (step @p223 :rule cong :premises (@p222) :args (@t101)) % 0.38/0.73 (step @p224 :rule trans :premises (@p223 @p186)) % 0.38/0.73 (step @p225 :rule eq_resolve :premises (@p55 @p224)) % 0.38/0.73 (step @p226 :rule instantiate :premises (@p225) :args ((@list @t149 @t148 @t151))) % 0.38/0.73 (step @p227 :rule bool-double-not-elim :args (@t157)) % 0.38/0.73 (step @p228 :rule refl :args (@t163)) % 0.38/0.73 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t163 (not @t158)))) % 0.38/0.73 (step @p230 :rule cnf_or_neg :args (@t163 3)) % 0.38/0.73 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 0.38/0.73 (step @p232 :rule reordering :premises (@p231) :args ((or @t157 @t163))) % 0.38/0.73 (step @p233 :rule chain_m_resolution :premises (@p232 @p148) :args (@t157 @t164 @t165)) % 0.38/0.73 (step @p234 :rule cnf_or_neg :args (@t163 2)) % 0.38/0.73 (step @p235 :rule chain_m_resolution :premises (@p234 @p148) :args ((not @t159) @t164 @t165)) % 0.38/0.73 (step @p236 :rule bool-double-not-elim :args (@t160)) % 0.38/0.73 (step @p237 :rule nary_cong :premises (@p228 @p236) :args ((or @t163 (not @t161)))) % 0.38/0.73 (step @p238 :rule cnf_or_neg :args (@t163 1)) % 0.38/0.73 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.38/0.73 (step @p240 :rule reordering :premises (@p239) :args ((or @t160 @t163))) % 0.38/0.73 (step @p241 :rule chain_m_resolution :premises (@p240 @p148) :args (@t160 @t164 @t165)) % 0.38/0.73 (step @p242 :rule cnf_or_neg :args (@t163 0)) % 0.38/0.73 (step @p243 :rule chain_m_resolution :premises (@p242 @p148) :args ((not @t162) @t164 @t165)) % 0.38/0.73 (step @p244 :rule cnf_or_pos :args (@t191)) % 0.38/0.73 (step @p245 :rule reordering :premises (@p244) :args ((or @t162 @t161 @t159 @t158 @t190 (not @t191)))) % 0.38/0.73 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p241 @p235 @p233 @p226) :args (@t190 @t192 (@list @t162 @t160 @t159 @t157 @t191))) % 0.38/0.73 (step @p247 :rule cnf_equiv_pos2 :args (@t190)) % 0.38/0.73 (step @p248 :rule reordering :premises (@p247) :args ((or @t189 @t194 @t193))) % 0.38/0.73 (step @p249 :rule aci_norm :args ((= @t200 (or @t13 @t121 @t198 @t197 @t196)))) % 0.38/0.73 (step @p250 :rule cong :premises (@p249) :args (@t201)) % 0.38/0.73 (step @p251 :rule quant-merge-prenex :args ((= (forall @t6 @t203) @t201))) % 0.38/0.73 (step @p252 :rule alpha_equiv :args (@t204 (@list @t195) (@list @t7))) % 0.38/0.73 (step @p253 :rule nary_cong :premises (@p100 @p99 @p252) :args (@t205)) % 0.38/0.73 (step @p254 :rule quant-miniscope-or :args ((= @t203 @t205))) % 0.38/0.73 (step @p255 :rule trans :premises (@p254 @p253)) % 0.38/0.73 (step @p256 :rule symm :premises (@p255)) % 0.38/0.73 (step @p257 :rule cong :premises (@p256) :args ((forall @t6 @t208))) % 0.38/0.73 (step @p258 :rule trans :premises (@p257 @p251)) % 0.38/0.73 (step @p259 :rule trans :premises (@p258 @p250)) % 0.38/0.73 (step @p260 :rule aci_norm :args ((= (or @t137 @t207) @t208))) % 0.38/0.73 (step @p261 :rule refl :args (@t207)) % 0.38/0.73 (step @p262 :rule nary_cong :premises (@p113 @p261) :args ((or @t138 @t207))) % 0.38/0.73 (step @p263 :rule trans :premises (@p262 @p260)) % 0.38/0.73 (step @p264 :rule bool-impl-elim :args (@t47 @t207)) % 0.38/0.73 (step @p265 :rule trans :premises (@p264 @p263)) % 0.38/0.73 (step @p266 :rule cong :premises (@p265) :args ((forall @t6 (=> @t47 @t207)))) % 0.38/0.73 (step @p267 :rule trans :premises (@p266 @p259)) % 0.38/0.73 (step @p268 :rule aci_norm :args ((= (or @t144 @t40) @t206))) % 0.38/0.73 (step @p269 :rule refl :args (@t40)) % 0.38/0.73 (step @p270 :rule nary_cong :premises (@p135 @p269) :args ((or @t146 @t40))) % 0.38/0.73 (step @p271 :rule trans :premises (@p270 @p268)) % 0.38/0.73 (step @p272 :rule bool-impl-elim :args (@t44 @t40)) % 0.38/0.73 (step @p273 :rule trans :premises (@p272 @p271)) % 0.38/0.73 (step @p274 :rule cong :premises (@p273) :args (@t45)) % 0.38/0.73 (step @p275 :rule cong :premises (@p142 @p274) :args (@t48)) % 0.38/0.73 (step @p276 :rule cong :premises (@p275) :args (@t49)) % 0.38/0.73 (step @p277 :rule trans :premises (@p276 @p267)) % 0.38/0.73 (step @p278 :rule eq_resolve :premises (@p21 @p277)) % 0.38/0.73 (step @p279 :rule instantiate :premises (@p278) :args ((@list @t148 @t151))) % 0.38/0.73 (step @p280 :rule cnf_or_pos :args (@t210)) % 0.38/0.73 (step @p281 :rule reordering :premises (@p280) :args ((or @t162 @t161 @t159 @t158 @t209 (not @t210)))) % 0.38/0.73 (step @p282 :rule chain_m_resolution :premises (@p281 @p243 @p241 @p235 @p233 @p279) :args (@t209 @t192 (@list @t162 @t160 @t159 @t157 @t210))) % 0.38/0.73 (step @p283 :rule refl :args (@t211)) % 0.38/0.73 (step @p284 :rule refl :args (@t212)) % 0.38/0.73 (step @p285 :rule bool-double-not-elim :args (@t155)) % 0.38/0.73 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283) :args ((or (not @t213) @t212 @t211))) % 0.38/0.73 (assume-push @p343 @t213) % 0.38/0.73 (assume-push @p344 @t209) % 0.38/0.73 (assume-push @p345 @t213) % 0.38/0.73 (assume-push @p346 @t209) % 0.38/0.73 (step @p291 :rule false_intro :premises (@p343)) % 0.38/0.73 (step @p292 :rule symm :premises (@p282)) % 0.38/0.73 (step @p293 :rule refl :args (@t149)) % 0.38/0.73 (step @p294 :rule cong :premises (@p293 @p292) :args (@t189)) % 0.38/0.73 (step @p295 :rule trans :premises (@p294 @p291)) % 0.38/0.73 (step @p296 :rule false_elim :premises (@p295)) % 0.38/0.73 (step-pop @p347 :rule scope :premises (@p296)) % 0.38/0.73 (step-pop @p348 :rule scope :premises (@p347)) % 0.38/0.73 (step @p297 :rule process_scope :premises (@p348) :args (@t211)) % 0.38/0.73 (step @p300 :rule and_intro :premises (@p343 @p282)) % 0.38/0.73 (step @p301 :rule modus_ponens :premises (@p300 @p297)) % 0.38/0.73 (step-pop @p349 :rule scope :premises (@p301)) % 0.38/0.73 (step-pop @p350 :rule scope :premises (@p349)) % 0.38/0.73 (step @p302 :rule process_scope :premises (@p350) :args (@t211)) % 0.38/0.73 (step @p305 :rule implies_elim :premises (@p302)) % 0.38/0.73 (step @p306 :rule cnf_and_neg :args (@t214)) % 0.38/0.73 (step @p307 :rule resolution :premises (@p306 @p305) :args (true @t214)) % 0.38/0.73 (step @p308 :rule eq_resolve :premises (@p307 @p286)) % 0.38/0.73 (step @p309 :rule chain_m_resolution :premises (@p308 @p282 @p248 @p246 @p158 @p156 @p154 @p152 @p150) :args (@t155 (@list false false false false false false false true) (@list @t209 @t189 @t190 @t167 @t150 @t152 @t153 @t156))) % 0.38/0.73 (step @p310 :rule cnf_equiv_neg2 :args (@t156)) % 0.38/0.73 (step @p311 :rule chain_m_resolution :premises (@p310 @p150 @p309) :args (@t166 (@list true false) (@list @t156 @t155))) % 0.38/0.73 (assume-push @p351 @t155) % 0.38/0.73 (assume-push @p352 @t209) % 0.38/0.73 (assume-push @p353 @t155) % 0.38/0.73 (assume-push @p354 @t209) % 0.38/0.73 (step @p316 :rule true_intro :premises (@p351)) % 0.38/0.73 (step @p292 :rule symm :premises (@p282)) % 0.38/0.73 (step @p293 :rule refl :args (@t149)) % 0.38/0.73 (step @p294 :rule cong :premises (@p293 @p292) :args (@t189)) % 0.38/0.73 (step @p317 :rule trans :premises (@p294 @p316)) % 0.38/0.73 (step @p318 :rule true_elim :premises (@p317)) % 0.38/0.73 (step-pop @p355 :rule scope :premises (@p318)) % 0.38/0.73 (step-pop @p356 :rule scope :premises (@p355)) % 0.38/0.73 (step @p319 :rule process_scope :premises (@p356) :args (@t189)) % 0.38/0.73 (step @p322 :rule and_intro :premises (@p351 @p282)) % 0.38/0.73 (step @p323 :rule modus_ponens :premises (@p322 @p319)) % 0.38/0.73 (step-pop @p357 :rule scope :premises (@p323)) % 0.38/0.73 (step-pop @p358 :rule scope :premises (@p357)) % 0.38/0.73 (step @p324 :rule process_scope :premises (@p358) :args (@t189)) % 0.38/0.73 (step @p327 :rule implies_elim :premises (@p324)) % 0.38/0.73 (step @p328 :rule cnf_and_neg :args (@t215)) % 0.38/0.73 (step @p329 :rule resolution :premises (@p328 @p327) :args (true @t215)) % 0.38/0.73 (step @p330 :rule reordering :premises (@p329) :args ((or @t213 @t189 @t212))) % 0.38/0.73 (step @p331 :rule chain_m_resolution :premises (@p330 @p309 @p282) :args (@t189 @t216 (@list @t155 @t209))) % 0.38/0.73 (step @p332 :rule cnf_equiv_pos1 :args (@t190)) % 0.38/0.73 (step @p333 :rule reordering :premises (@p332) :args ((or @t167 @t211 @t193))) % 0.38/0.73 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p246) :args (@t167 @t216 (@list @t189 @t190))) % 0.38/0.73 (step @p335 :rule cnf_and_pos :args (@t167 0)) % 0.38/0.73 (step @p336 :rule reordering :premises (@p335) :args ((or @t150 @t194))) % 0.38/0.73 (step @p337 :rule chain_m_resolution :premises (@p336 @p334) :args (@t150 @t217 @t218)) % 0.38/0.73 (step @p338 :rule cnf_and_pos :args (@t167 1)) % 0.38/0.73 (step @p339 :rule reordering :premises (@p338) :args ((or @t152 @t194))) % 0.38/0.73 (step @p340 :rule chain_m_resolution :premises (@p339 @p334) :args (@t152 @t217 @t218)) % 0.38/0.73 (step @p341 :rule cnf_and_neg :args (@t153)) % 0.38/0.73 (step @p342 false :rule chain_m_resolution :premises (@p341 @p340 @p337 @p311) :args (false (@list false false true) (@list @t152 @t150 @t153))) % 0.38/0.73 ) % 0.38/0.73 % SZS output end Proof % 0.38/0.74 % cvc5 exiting %------------------------------------------------------------------------------