%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU385+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:51:35 AM UTC 2026 % Result : Theorem 0.38s 0.93s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SEU385+1 : TPTP v9.2.1. Released v3.3.0. % 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n002.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 17:04:48 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.93 % SZS status Theorem % 0.38/0.93 % SZS output start Proof % 0.38/0.93 ( % 0.38/0.93 (declare-sort $$unsorted 0) % 0.38/0.93 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.apply_on_set_and_struct2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.empty_set $$unsorted) % 0.38/0.93 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.partfun_dom_restriction (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.38/0.93 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.38/0.93 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.93 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.93 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.93 (define @t3 () (tptp.the_mapping @t2 @t1)) % 0.38/0.93 (define @t4 () (tptp.the_InternalRel @t1)) % 0.38/0.93 (define @t5 () (tptp.the_carrier @t1)) % 0.38/0.93 (define @t6 () (tptp.strict_net_str @t1 @t2)) % 0.38/0.93 (define @t7 () (tptp.net_str @t1 @t2)) % 0.38/0.93 (define @t8 () (tptp.one_sorted_str @t2)) % 0.38/0.93 (define @t9 () (and @t8 @t7)) % 0.38/0.93 (define @t10 () (@list @t2 @t1)) % 0.38/0.93 (define @t11 () (tptp.in @t1 @t2)) % 0.38/0.93 (define @t12 () (not @t11)) % 0.38/0.93 (define @t13 () (tptp.in @t2 @t1)) % 0.38/0.93 (define @t14 () (tptp.finite @t2)) % 0.38/0.93 (define @t15 () (tptp.empty @t2)) % 0.38/0.93 (define @t16 () (@list @t2)) % 0.38/0.93 (define @t17 () (and (tptp.cup_closed @t2) (tptp.diff_closed @t2))) % 0.38/0.93 (define @t18 () (tptp.preboolean @t2)) % 0.38/0.93 (define @t19 () (tptp.function @t2)) % 0.38/0.93 (define @t20 () (@var "C" $$unsorted)) % 0.38/0.93 (define @t21 () (tptp.quasi_total @t20 @t2 @t1)) % 0.38/0.93 (define @t22 () (tptp.function @t20)) % 0.38/0.93 (define @t23 () (and @t22 @t21)) % 0.38/0.93 (define @t24 () (tptp.v1_partfun1 @t20 @t2 @t1)) % 0.38/0.93 (define @t25 () (tptp.relation_of2 @t20 @t2 @t1)) % 0.38/0.93 (define @t26 () (@list @t2 @t1 @t20)) % 0.38/0.93 (define @t27 () (tptp.relation @t20)) % 0.38/0.93 (define @t28 () (tptp.cartesian_product2 @t2 @t1)) % 0.38/0.93 (define @t29 () (tptp.element @t20 (tptp.powerset @t28))) % 0.38/0.93 (define @t30 () (tptp.finite @t1)) % 0.38/0.93 (define @t31 () (tptp.powerset @t2)) % 0.38/0.93 (define @t32 () (tptp.element @t1 @t31)) % 0.38/0.93 (define @t33 () (@list @t1)) % 0.38/0.93 (define @t34 () (tptp.relation @t2)) % 0.38/0.93 (define @t35 () (and @t34 @t19 (tptp.one_to_one @t2))) % 0.38/0.93 (define @t36 () (and @t34 @t15 @t19)) % 0.38/0.93 (define @t37 () (@list @t20)) % 0.38/0.93 (define @t38 () (tptp.empty @t1)) % 0.38/0.93 (define @t39 () (not @t38)) % 0.38/0.93 (define @t40 () (tptp.empty @t20)) % 0.38/0.93 (define @t41 () (not @t15)) % 0.38/0.93 (define @t42 () (@var "D" $$unsorted)) % 0.38/0.93 (define @t43 () (tptp.the_carrier @t42)) % 0.38/0.93 (define @t44 () (tptp.the_carrier @t2)) % 0.38/0.93 (define @t45 () (= (tptp.the_mapping @t2 @t42) (tptp.partfun_dom_restriction @t5 @t44 @t3 @t43))) % 0.38/0.93 (define @t46 () (= (tptp.the_InternalRel @t42) (tptp.relation_restriction_as_relation_of @t4 @t43))) % 0.38/0.93 (define @t47 () (@var "F" $$unsorted)) % 0.38/0.93 (define @t48 () (tptp.related @t1 @t20 @t47)) % 0.38/0.93 (define @t49 () (@var "E" $$unsorted)) % 0.38/0.93 (define @t50 () (= @t47 @t49)) % 0.38/0.93 (define @t51 () (tptp.element @t47 @t5)) % 0.38/0.93 (define @t52 () (and @t51 @t50 @t48)) % 0.38/0.93 (define @t53 () (@list @t47)) % 0.38/0.93 (define @t54 () (exists @t53 @t52)) % 0.38/0.93 (define @t55 () (tptp.in @t49 @t43)) % 0.38/0.93 (define @t56 () (= @t55 @t54)) % 0.38/0.93 (define @t57 () (@list @t49)) % 0.38/0.93 (define @t58 () (forall @t57 @t56)) % 0.38/0.93 (define @t59 () (and @t58 @t46 @t45)) % 0.38/0.93 (define @t60 () (tptp.netstr_restr_to_element @t2 @t1 @t20)) % 0.38/0.93 (define @t61 () (= @t42 @t60)) % 0.38/0.93 (define @t62 () (= @t61 @t59)) % 0.38/0.93 (define @t63 () (tptp.net_str @t42 @t2)) % 0.38/0.93 (define @t64 () (tptp.strict_net_str @t42 @t2)) % 0.38/0.93 (define @t65 () (and @t64 @t63)) % 0.38/0.93 (define @t66 () (=> @t65 @t62)) % 0.38/0.93 (define @t67 () (@list @t42)) % 0.38/0.93 (define @t68 () (forall @t67 @t66)) % 0.38/0.93 (define @t69 () (tptp.element @t20 @t5)) % 0.38/0.93 (define @t70 () (=> @t69 @t68)) % 0.38/0.93 (define @t71 () (forall @t37 @t70)) % 0.38/0.93 (define @t72 () (tptp.empty_carrier @t1)) % 0.38/0.93 (define @t73 () (not @t72)) % 0.38/0.93 (define @t74 () (and @t73 @t7)) % 0.38/0.93 (define @t75 () (=> @t74 @t71)) % 0.38/0.93 (define @t76 () (forall @t33 @t75)) % 0.38/0.93 (define @t77 () (tptp.empty_carrier @t2)) % 0.38/0.93 (define @t78 () (not @t77)) % 0.38/0.93 (define @t79 () (and @t78 @t8)) % 0.38/0.93 (define @t80 () (=> @t79 @t76)) % 0.38/0.93 (define @t81 () (forall @t16 @t80)) % 0.38/0.93 (define @t82 () (tptp.apply_netmap @t2 @t1 @t20)) % 0.38/0.93 (define @t83 () (= @t82 (tptp.apply_on_structs @t1 @t2 @t3 @t20))) % 0.38/0.93 (define @t84 () (forall @t37 (=> @t69 @t83))) % 0.38/0.93 (define @t85 () (=> @t74 @t84)) % 0.38/0.93 (define @t86 () (forall @t33 @t85)) % 0.38/0.93 (define @t87 () (=> @t79 @t86)) % 0.38/0.93 (define @t88 () (forall @t16 @t87)) % 0.38/0.93 (define @t89 () (tptp.net_str_of @t2 @t1 @t20 @t42)) % 0.38/0.93 (define @t90 () (tptp.strict_net_str @t89 @t2)) % 0.38/0.93 (define @t91 () (tptp.relation_of2 @t42 @t1 @t44)) % 0.38/0.93 (define @t92 () (tptp.quasi_total @t42 @t1 @t44)) % 0.38/0.93 (define @t93 () (tptp.function @t42)) % 0.38/0.93 (define @t94 () (tptp.relation_of2 @t20 @t1 @t1)) % 0.38/0.93 (define @t95 () (and @t8 @t94 @t93 @t92 @t91)) % 0.38/0.93 (define @t96 () (@list @t2 @t1 @t20 @t42)) % 0.38/0.93 (define @t97 () (tptp.relation_restriction_as_relation_of @t2 @t1)) % 0.38/0.93 (define @t98 () (tptp.apply_on_structs @t2 @t1 @t20 @t42)) % 0.38/0.93 (define @t99 () (tptp.element @t42 @t44)) % 0.38/0.93 (define @t100 () (tptp.relation_of2 @t20 @t44 @t5)) % 0.38/0.93 (define @t101 () (tptp.quasi_total @t20 @t44 @t5)) % 0.38/0.93 (define @t102 () (tptp.one_sorted_str @t1)) % 0.38/0.93 (define @t103 () (and @t78 @t8 @t73 @t102 @t22 @t101 @t100 @t99)) % 0.38/0.93 (define @t104 () (tptp.partfun_dom_restriction @t2 @t1 @t20 @t42)) % 0.38/0.93 (define @t105 () (and @t22 @t25)) % 0.38/0.93 (define @t106 () (tptp.relation_restriction @t2 @t1)) % 0.38/0.93 (define @t107 () (and @t78 @t8 @t73 @t7 @t69)) % 0.38/0.93 (define @t108 () (tptp.strict_net_str @t60 @t2)) % 0.38/0.93 (define @t109 () (and @t108 (tptp.net_str @t60 @t2))) % 0.38/0.93 (define @t110 () (forall @t26 (=> @t107 @t109))) % 0.38/0.93 (define @t111 () (tptp.relation_dom_restriction @t2 @t1)) % 0.38/0.93 (define @t112 () (tptp.relation @t111)) % 0.38/0.93 (define @t113 () (tptp.apply_on_set_and_struct2 @t2 @t1 @t20 @t42)) % 0.38/0.93 (define @t114 () (and @t41 @t73 @t102 @t22 (tptp.quasi_total @t20 @t2 @t5) (tptp.relation_of2 @t20 @t2 @t5) (tptp.element @t42 @t2))) % 0.38/0.93 (define @t115 () (tptp.rel_str @t2)) % 0.38/0.93 (define @t116 () (forall @t16 (=> @t115 @t8))) % 0.38/0.93 (define @t117 () (tptp.rel_str @t1)) % 0.38/0.93 (define @t118 () (forall @t33 (=> @t7 @t117))) % 0.38/0.93 (define @t119 () (=> @t8 @t118)) % 0.38/0.93 (define @t120 () (forall @t16 @t119)) % 0.38/0.93 (define @t121 () (tptp.relation_of2_as_subset @t20 @t2 @t1)) % 0.38/0.93 (define @t122 () (tptp.quasi_total @t3 @t5 @t44)) % 0.38/0.93 (define @t123 () (tptp.function @t3)) % 0.38/0.93 (define @t124 () (and @t123 @t122 (tptp.relation_of2_as_subset @t3 @t5 @t44))) % 0.38/0.93 (define @t125 () (forall @t10 (=> @t9 @t124))) % 0.38/0.93 (define @t126 () (and (not (tptp.empty @t3)) (tptp.relation @t3) @t123 @t122)) % 0.38/0.93 (define @t127 () (and @t78 @t8 @t73 @t7)) % 0.38/0.93 (define @t128 () (forall @t10 (=> @t127 @t126))) % 0.38/0.93 (define @t129 () (not (tptp.empty @t44))) % 0.38/0.93 (define @t130 () (forall @t16 (=> @t79 @t129))) % 0.38/0.93 (define @t131 () (and (not (tptp.empty_carrier @t60)) @t108)) % 0.38/0.93 (define @t132 () (tptp.directed_relstr @t1)) % 0.38/0.93 (define @t133 () (and @t78 @t8 @t73 @t132 @t7 @t69)) % 0.38/0.93 (define @t134 () (forall @t26 (=> @t133 @t131))) % 0.38/0.93 (define @t135 () (and @t34 @t19)) % 0.38/0.93 (define @t136 () (@var "H" $$unsorted)) % 0.38/0.93 (define @t137 () (@var "G" $$unsorted)) % 0.38/0.93 (define @t138 () (tptp.apply @t20 @t42)) % 0.38/0.93 (define @t139 () (= @t98 @t138)) % 0.38/0.93 (define @t140 () (forall @t96 (=> @t103 @t139))) % 0.38/0.93 (define @t141 () (= @t104 (tptp.relation_dom_restriction @t20 @t42))) % 0.38/0.93 (define @t142 () (forall @t96 (=> @t105 @t141))) % 0.38/0.93 (define @t143 () (forall @t26 (= @t121 @t25))) % 0.38/0.93 (define @t144 () (tptp.apply_netmap @t2 @t1 @t42)) % 0.38/0.93 (define @t145 () (= @t144 (tptp.apply_netmap @t2 @t60 @t49))) % 0.38/0.93 (define @t146 () (= @t42 @t49)) % 0.38/0.94 (define @t147 () (=> @t146 @t145)) % 0.38/0.94 (define @t148 () (tptp.the_carrier @t60)) % 0.38/0.94 (define @t149 () (tptp.element @t49 @t148)) % 0.38/0.94 (define @t150 () (forall @t57 (=> @t149 @t147))) % 0.38/0.94 (define @t151 () (tptp.element @t42 @t5)) % 0.38/0.94 (define @t152 () (=> @t151 @t150)) % 0.38/0.94 (define @t153 () (forall @t67 @t152)) % 0.38/0.94 (define @t154 () (=> @t69 @t153)) % 0.38/0.94 (define @t155 () (forall @t37 @t154)) % 0.38/0.94 (define @t156 () (and @t73 @t132 @t7)) % 0.38/0.94 (define @t157 () (=> @t156 @t155)) % 0.38/0.94 (define @t158 () (forall @t33 @t157)) % 0.38/0.94 (define @t159 () (=> @t79 @t158)) % 0.38/0.94 (define @t160 () (forall @t16 @t159)) % 0.38/0.94 (define @t161 () (not @t160)) % 0.38/0.94 (define @t162 () (tptp.element @t2 @t1)) % 0.38/0.94 (define @t163 () (or @t38 @t13)) % 0.38/0.94 (define @t164 () (forall @t10 (=> @t162 @t163))) % 0.38/0.94 (define @t165 () (tptp.element @t1 (tptp.powerset @t20))) % 0.38/0.94 (define @t166 () (= (tptp.apply (tptp.relation_dom_restriction @t20 @t2) @t1) (tptp.apply @t20 @t1))) % 0.38/0.94 (define @t167 () (=> @t11 @t166)) % 0.38/0.94 (define @t168 () (and @t27 @t22)) % 0.38/0.94 (define @t169 () (forall @t26 (=> @t168 @t167))) % 0.38/0.94 (define @t170 () (@var "BOUND_VARIABLE_8538" $$unsorted)) % 0.38/0.94 (define @t171 () (@var "BOUND_VARIABLE_8536" $$unsorted)) % 0.38/0.94 (define @t172 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 0.38/0.94 (define @t173 () (tptp.netstr_restr_to_element @t2 @t172 @t171)) % 0.38/0.94 (define @t174 () (= (tptp.apply_netmap @t2 @t172 @t170) (tptp.apply_netmap @t2 @t173 @t170))) % 0.38/0.94 (define @t175 () (not (tptp.element @t170 (tptp.the_carrier @t173)))) % 0.38/0.94 (define @t176 () (tptp.the_carrier @t172)) % 0.38/0.94 (define @t177 () (not (tptp.element @t170 @t176))) % 0.38/0.94 (define @t178 () (not (tptp.element @t171 @t176))) % 0.38/0.94 (define @t179 () (not (tptp.net_str @t172 @t2))) % 0.38/0.94 (define @t180 () (not (tptp.directed_relstr @t172))) % 0.38/0.94 (define @t181 () (tptp.empty_carrier @t172)) % 0.38/0.94 (define @t182 () (not @t8)) % 0.38/0.94 (define @t183 () (or @t77 @t182 @t181 @t180 @t179 @t178 @t177 @t175 @t174)) % 0.38/0.94 (define @t184 () (or @t181 @t180 @t179 @t178 @t177 @t175 @t174)) % 0.38/0.94 (define @t185 () (or @t77 @t182 @t184)) % 0.38/0.94 (define @t186 () (@list @t2 @t172 @t171 @t170)) % 0.38/0.94 (define @t187 () (forall @t186 @t185)) % 0.38/0.94 (define @t188 () (@list @t172 @t171 @t170)) % 0.38/0.94 (define @t189 () (forall @t188 @t185)) % 0.38/0.94 (define @t190 () (forall @t188 @t184)) % 0.38/0.94 (define @t191 () (@var "BOUND_VARIABLE_8511" $$unsorted)) % 0.38/0.94 (define @t192 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 0.38/0.94 (define @t193 () (or @t77 @t182 @t190)) % 0.38/0.94 (define @t194 () (tptp.netstr_restr_to_element @t2 @t1 @t192)) % 0.38/0.94 (define @t195 () (= (tptp.apply_netmap @t2 @t1 @t191) (tptp.apply_netmap @t2 @t194 @t191))) % 0.38/0.94 (define @t196 () (not (tptp.element @t191 (tptp.the_carrier @t194)))) % 0.38/0.94 (define @t197 () (not (tptp.element @t191 @t5))) % 0.38/0.94 (define @t198 () (not (tptp.element @t192 @t5))) % 0.38/0.94 (define @t199 () (not @t7)) % 0.38/0.94 (define @t200 () (not @t132)) % 0.38/0.94 (define @t201 () (or @t72 @t200 @t199 @t198 @t197 @t196 @t195)) % 0.38/0.94 (define @t202 () (@list @t1 @t192 @t191)) % 0.38/0.94 (define @t203 () (forall @t202 @t201)) % 0.38/0.94 (define @t204 () (or @t77 @t182 @t203)) % 0.38/0.94 (define @t205 () (or @t77 @t182)) % 0.38/0.94 (define @t206 () (not @t78)) % 0.38/0.94 (define @t207 () (not @t79)) % 0.38/0.94 (define @t208 () (or @t198 @t197 @t196 @t195)) % 0.38/0.94 (define @t209 () (or @t72 @t200 @t199 @t208)) % 0.38/0.94 (define @t210 () (forall @t202 @t209)) % 0.38/0.94 (define @t211 () (@list @t192 @t191)) % 0.38/0.94 (define @t212 () (forall @t211 @t209)) % 0.38/0.94 (define @t213 () (forall @t211 @t208)) % 0.38/0.94 (define @t214 () (@var "BOUND_VARIABLE_8488" $$unsorted)) % 0.38/0.94 (define @t215 () (or @t72 @t200 @t199 @t213)) % 0.38/0.94 (define @t216 () (= (tptp.apply_netmap @t2 @t1 @t214) (tptp.apply_netmap @t2 @t60 @t214))) % 0.38/0.94 (define @t217 () (not (tptp.element @t214 @t148))) % 0.38/0.94 (define @t218 () (not (tptp.element @t214 @t5))) % 0.38/0.94 (define @t219 () (not @t69)) % 0.38/0.94 (define @t220 () (or @t219 @t218 @t217 @t216)) % 0.38/0.94 (define @t221 () (@list @t20 @t214)) % 0.38/0.94 (define @t222 () (forall @t221 @t220)) % 0.38/0.94 (define @t223 () (or @t72 @t200 @t199 @t222)) % 0.38/0.94 (define @t224 () (not @t73)) % 0.38/0.94 (define @t225 () (or @t224 @t200 @t199)) % 0.38/0.94 (define @t226 () (or @t218 @t217 @t216)) % 0.38/0.94 (define @t227 () (or @t219 @t226)) % 0.38/0.94 (define @t228 () (forall @t221 @t227)) % 0.38/0.94 (define @t229 () (@list @t214)) % 0.38/0.94 (define @t230 () (forall @t229 @t227)) % 0.38/0.94 (define @t231 () (forall @t229 @t226)) % 0.38/0.94 (define @t232 () (@list @t42)) % 0.38/0.94 (define @t233 () (or @t219 @t231)) % 0.38/0.94 (define @t234 () (= @t144 (tptp.apply_netmap @t2 @t60 @t42))) % 0.38/0.94 (define @t235 () (not (tptp.element @t42 @t148))) % 0.38/0.94 (define @t236 () (not @t151)) % 0.38/0.94 (define @t237 () (or @t236 @t235 @t234)) % 0.38/0.94 (define @t238 () (forall @t67 @t237)) % 0.38/0.94 (define @t239 () (or @t235 @t234)) % 0.38/0.94 (define @t240 () (not (= @t42 @t42))) % 0.38/0.94 (define @t241 () (or @t235 @t240 @t234)) % 0.38/0.94 (define @t242 () (not @t146)) % 0.38/0.94 (define @t243 () (not @t149)) % 0.38/0.94 (define @t244 () (or @t242 @t243 @t242 @t145)) % 0.38/0.94 (define @t245 () (or @t243 @t242 @t145)) % 0.38/0.94 (define @t246 () (forall @t186 @t183)) % 0.38/0.94 (define @t247 () (@quantifiers_skolemize @t246 3)) % 0.38/0.94 (define @t248 () (@quantifiers_skolemize @t246 2)) % 0.38/0.94 (define @t249 () (@quantifiers_skolemize @t246 1)) % 0.38/0.94 (define @t250 () (@quantifiers_skolemize @t246 0)) % 0.38/0.94 (define @t251 () (tptp.netstr_restr_to_element @t250 @t249 @t248)) % 0.38/0.94 (define @t252 () (tptp.apply_netmap @t250 @t251 @t247)) % 0.38/0.94 (define @t253 () (tptp.apply_netmap @t250 @t249 @t247)) % 0.38/0.94 (define @t254 () (= @t253 @t252)) % 0.38/0.94 (define @t255 () (tptp.the_carrier @t251)) % 0.38/0.94 (define @t256 () (tptp.element @t247 @t255)) % 0.38/0.94 (define @t257 () (not @t256)) % 0.38/0.94 (define @t258 () (tptp.the_carrier @t249)) % 0.38/0.94 (define @t259 () (tptp.element @t247 @t258)) % 0.38/0.94 (define @t260 () (not @t259)) % 0.38/0.94 (define @t261 () (tptp.element @t248 @t258)) % 0.38/0.94 (define @t262 () (not @t261)) % 0.38/0.94 (define @t263 () (tptp.net_str @t249 @t250)) % 0.38/0.94 (define @t264 () (not @t263)) % 0.38/0.94 (define @t265 () (tptp.directed_relstr @t249)) % 0.38/0.94 (define @t266 () (not @t265)) % 0.38/0.94 (define @t267 () (tptp.empty_carrier @t249)) % 0.38/0.94 (define @t268 () (tptp.one_sorted_str @t250)) % 0.38/0.94 (define @t269 () (not @t268)) % 0.38/0.94 (define @t270 () (tptp.empty_carrier @t250)) % 0.38/0.94 (define @t271 () (or @t270 @t269 @t267 @t266 @t264 @t262 @t260 @t257 @t254)) % 0.38/0.94 (define @t272 () (not @t254)) % 0.38/0.94 (define @t273 () (@list true)) % 0.38/0.94 (define @t274 () (@list @t271)) % 0.38/0.94 (define @t275 () (@var "BOUND_VARIABLE_8151" $$unsorted)) % 0.38/0.94 (define @t276 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 0.38/0.94 (define @t277 () (= (tptp.apply_netmap @t2 @t276 @t275) (tptp.apply_on_structs @t276 @t2 (tptp.the_mapping @t2 @t276) @t275))) % 0.38/0.94 (define @t278 () (not (tptp.element @t275 (tptp.the_carrier @t276)))) % 0.38/0.94 (define @t279 () (not (tptp.net_str @t276 @t2))) % 0.38/0.94 (define @t280 () (tptp.empty_carrier @t276)) % 0.38/0.94 (define @t281 () (or @t280 @t279 @t278 @t277)) % 0.38/0.94 (define @t282 () (or @t77 @t182 @t281)) % 0.38/0.94 (define @t283 () (forall (@list @t2 @t276 @t275) @t282)) % 0.38/0.94 (define @t284 () (@list @t276 @t275)) % 0.38/0.94 (define @t285 () (forall @t284 @t282)) % 0.38/0.94 (define @t286 () (forall @t284 @t281)) % 0.38/0.94 (define @t287 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 0.38/0.94 (define @t288 () (or @t77 @t182 @t286)) % 0.38/0.94 (define @t289 () (= (tptp.apply_netmap @t2 @t1 @t287) (tptp.apply_on_structs @t1 @t2 @t3 @t287))) % 0.38/0.94 (define @t290 () (not (tptp.element @t287 @t5))) % 0.38/0.94 (define @t291 () (or @t72 @t199 @t290 @t289)) % 0.38/0.94 (define @t292 () (@list @t1 @t287)) % 0.38/0.94 (define @t293 () (forall @t292 @t291)) % 0.38/0.94 (define @t294 () (or @t77 @t182 @t293)) % 0.38/0.94 (define @t295 () (or @t290 @t289)) % 0.38/0.94 (define @t296 () (or @t72 @t199 @t295)) % 0.38/0.94 (define @t297 () (forall @t292 @t296)) % 0.38/0.94 (define @t298 () (@list @t287)) % 0.38/0.94 (define @t299 () (forall @t298 @t296)) % 0.38/0.94 (define @t300 () (forall @t298 @t295)) % 0.38/0.94 (define @t301 () (or @t72 @t199 @t300)) % 0.38/0.94 (define @t302 () (forall @t37 (or @t219 @t83))) % 0.38/0.94 (define @t303 () (or @t72 @t199 @t302)) % 0.38/0.94 (define @t304 () (or @t72 @t199)) % 0.38/0.94 (define @t305 () (or @t224 @t199)) % 0.38/0.94 (define @t306 () (not @t74)) % 0.38/0.94 (define @t307 () (tptp.the_mapping @t250 @t249)) % 0.38/0.94 (define @t308 () (tptp.apply_on_structs @t249 @t250 @t307 @t247)) % 0.38/0.94 (define @t309 () (= @t253 @t308)) % 0.38/0.94 (define @t310 () (or @t270 @t269 @t267 @t264 @t260 @t309)) % 0.38/0.94 (define @t311 () (@list true false true false false false)) % 0.38/0.94 (define @t312 () (or @t206 @t182 @t224 @t199 @t219)) % 0.38/0.94 (define @t313 () (or @t199 @t219)) % 0.38/0.94 (define @t314 () (not (and @t7 @t69))) % 0.38/0.94 (define @t315 () (@list @t250 @t249 @t248)) % 0.38/0.94 (define @t316 () (tptp.net_str @t251 @t250)) % 0.38/0.94 (define @t317 () (tptp.strict_net_str @t251 @t250)) % 0.38/0.94 (define @t318 () (and @t317 @t316)) % 0.38/0.94 (define @t319 () (or @t270 @t269 @t267 @t264 @t262 @t318)) % 0.38/0.94 (define @t320 () (not @t318)) % 0.38/0.94 (define @t321 () (@list false)) % 0.38/0.94 (define @t322 () (@list @t318)) % 0.38/0.94 (define @t323 () (or @t206 @t182 @t224 @t200 @t199 @t219)) % 0.38/0.94 (define @t324 () (tptp.empty_carrier @t251)) % 0.38/0.94 (define @t325 () (not @t324)) % 0.38/0.94 (define @t326 () (and @t325 @t317)) % 0.38/0.94 (define @t327 () (or @t270 @t269 @t267 @t266 @t264 @t262 @t326)) % 0.38/0.94 (define @t328 () (tptp.the_mapping @t250 @t251)) % 0.38/0.94 (define @t329 () (tptp.apply_on_structs @t251 @t250 @t328 @t247)) % 0.38/0.94 (define @t330 () (= @t252 @t329)) % 0.38/0.94 (define @t331 () (not @t316)) % 0.38/0.94 (define @t332 () (or @t270 @t269 @t324 @t331 @t257 @t330)) % 0.38/0.94 (define @t333 () (@var "BOUND_VARIABLE_8086" $$unsorted)) % 0.38/0.94 (define @t334 () (@var "BOUND_VARIABLE_8084" $$unsorted)) % 0.38/0.94 (define @t335 () (@var "BOUND_VARIABLE_8088" $$unsorted)) % 0.38/0.94 (define @t336 () (tptp.the_carrier @t335)) % 0.38/0.94 (define @t337 () (tptp.the_carrier @t334)) % 0.38/0.94 (define @t338 () (= (and (forall @t57 (= (and (tptp.element @t49 @t337) (tptp.related @t334 @t333 @t49)) (tptp.in @t49 @t336))) (= (tptp.the_InternalRel @t335) (tptp.relation_restriction_as_relation_of (tptp.the_InternalRel @t334) @t336)) (= (tptp.the_mapping @t2 @t335) (tptp.partfun_dom_restriction @t337 @t44 (tptp.the_mapping @t2 @t334) @t336))) (= @t335 (tptp.netstr_restr_to_element @t2 @t334 @t333)))) % 0.38/0.94 (define @t339 () (not (tptp.net_str @t335 @t2))) % 0.38/0.94 (define @t340 () (not (tptp.strict_net_str @t335 @t2))) % 0.38/0.94 (define @t341 () (not (tptp.element @t333 @t337))) % 0.38/0.94 (define @t342 () (not (tptp.net_str @t334 @t2))) % 0.38/0.94 (define @t343 () (tptp.empty_carrier @t334)) % 0.38/0.94 (define @t344 () (or @t77 @t182 @t343 @t342 @t341 @t340 @t339 @t338)) % 0.38/0.94 (define @t345 () (or @t343 @t342 @t341 @t340 @t339 @t338)) % 0.38/0.94 (define @t346 () (or @t77 @t182 @t345)) % 0.38/0.94 (define @t347 () (@list @t2 @t334 @t333 @t335)) % 0.38/0.94 (define @t348 () (forall @t347 @t346)) % 0.38/0.94 (define @t349 () (@list @t334 @t333 @t335)) % 0.38/0.94 (define @t350 () (forall @t349 @t346)) % 0.38/0.94 (define @t351 () (forall @t349 @t345)) % 0.38/0.94 (define @t352 () (@var "BOUND_VARIABLE_8044" $$unsorted)) % 0.38/0.94 (define @t353 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 0.38/0.94 (define @t354 () (or @t77 @t182 @t351)) % 0.38/0.94 (define @t355 () (tptp.netstr_restr_to_element @t2 @t1 @t353)) % 0.38/0.94 (define @t356 () (= @t352 @t355)) % 0.38/0.94 (define @t357 () (tptp.the_carrier @t352)) % 0.38/0.94 (define @t358 () (tptp.element @t49 @t5)) % 0.38/0.94 (define @t359 () (and (forall @t57 (= (and @t358 (tptp.related @t1 @t353 @t49)) (tptp.in @t49 @t357))) (= (tptp.the_InternalRel @t352) (tptp.relation_restriction_as_relation_of @t4 @t357)) (= (tptp.the_mapping @t2 @t352) (tptp.partfun_dom_restriction @t5 @t44 @t3 @t357)))) % 0.38/0.94 (define @t360 () (not (tptp.net_str @t352 @t2))) % 0.38/0.94 (define @t361 () (not (tptp.strict_net_str @t352 @t2))) % 0.38/0.94 (define @t362 () (not (tptp.element @t353 @t5))) % 0.38/0.94 (define @t363 () (@list @t1 @t353 @t352)) % 0.38/0.94 (define @t364 () (forall @t363 (or @t72 @t199 @t362 @t361 @t360 (= @t359 @t356)))) % 0.38/0.94 (define @t365 () (or @t77 @t182 @t364)) % 0.38/0.94 (define @t366 () (= (= @t355 @t352) @t359)) % 0.38/0.94 (define @t367 () (or @t72 @t199 @t362 @t361 @t360 @t366)) % 0.38/0.94 (define @t368 () (or @t362 @t361 @t360 @t366)) % 0.38/0.94 (define @t369 () (or @t72 @t199 @t368)) % 0.38/0.94 (define @t370 () (forall @t363 @t369)) % 0.38/0.94 (define @t371 () (@list @t353 @t352)) % 0.38/0.94 (define @t372 () (forall @t371 @t369)) % 0.38/0.94 (define @t373 () (forall @t371 @t368)) % 0.38/0.94 (define @t374 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 0.38/0.94 (define @t375 () (or @t72 @t199 @t373)) % 0.38/0.94 (define @t376 () (tptp.the_carrier @t374)) % 0.38/0.94 (define @t377 () (= (tptp.the_mapping @t2 @t374) (tptp.partfun_dom_restriction @t5 @t44 @t3 @t376))) % 0.38/0.94 (define @t378 () (= (tptp.the_InternalRel @t374) (tptp.relation_restriction_as_relation_of @t4 @t376))) % 0.38/0.94 (define @t379 () (tptp.in @t49 @t376)) % 0.38/0.94 (define @t380 () (tptp.related @t1 @t20 @t49)) % 0.38/0.94 (define @t381 () (and @t358 @t380)) % 0.38/0.94 (define @t382 () (not (tptp.net_str @t374 @t2))) % 0.38/0.94 (define @t383 () (not (tptp.strict_net_str @t374 @t2))) % 0.38/0.94 (define @t384 () (@list @t20 @t374)) % 0.38/0.94 (define @t385 () (forall @t384 (or @t219 @t383 @t382 (= (= @t60 @t374) (and (forall @t57 (= @t381 @t379)) @t378 @t377))))) % 0.38/0.94 (define @t386 () (or @t72 @t199 @t385)) % 0.38/0.94 (define @t387 () (forall @t57 (= @t379 @t381))) % 0.38/0.94 (define @t388 () (and @t387 @t378 @t377)) % 0.38/0.94 (define @t389 () (= (= @t374 @t60) @t388)) % 0.38/0.94 (define @t390 () (or @t219 @t383 @t382 @t389)) % 0.38/0.94 (define @t391 () (or @t383 @t382 @t389)) % 0.38/0.94 (define @t392 () (or @t219 @t391)) % 0.38/0.94 (define @t393 () (forall @t384 @t392)) % 0.38/0.94 (define @t394 () (@list @t374)) % 0.38/0.94 (define @t395 () (forall @t394 @t392)) % 0.38/0.94 (define @t396 () (forall @t394 @t391)) % 0.38/0.94 (define @t397 () (or @t219 @t396)) % 0.38/0.94 (define @t398 () (= @t61 (and (forall @t57 (= @t55 @t381)) @t46 @t45))) % 0.38/0.94 (define @t399 () (not @t63)) % 0.38/0.94 (define @t400 () (not @t64)) % 0.38/0.94 (define @t401 () (or @t400 @t399 @t398)) % 0.38/0.94 (define @t402 () (forall @t67 @t401)) % 0.38/0.94 (define @t403 () (not @t380)) % 0.38/0.94 (define @t404 () (not @t358)) % 0.38/0.94 (define @t405 () (or @t404 @t403)) % 0.38/0.94 (define @t406 () (= @t55 (not @t405))) % 0.38/0.94 (define @t407 () (not (= @t49 @t49))) % 0.38/0.94 (define @t408 () (or @t404 @t407 @t403)) % 0.38/0.94 (define @t409 () (not @t48)) % 0.38/0.94 (define @t410 () (= @t49 @t47)) % 0.38/0.94 (define @t411 () (not @t410)) % 0.38/0.94 (define @t412 () (not @t51)) % 0.38/0.94 (define @t413 () (or @t411 @t412 @t411 @t409)) % 0.38/0.94 (define @t414 () (or @t412 @t411 @t409)) % 0.38/0.94 (define @t415 () (and @t51 @t410 @t48)) % 0.38/0.94 (define @t416 () (forall @t53 (not @t415))) % 0.38/0.94 (define @t417 () (not @t416)) % 0.38/0.94 (define @t418 () (tptp.the_carrier @t250)) % 0.38/0.94 (define @t419 () (tptp.partfun_dom_restriction @t258 @t418 @t307 @t255)) % 0.38/0.94 (define @t420 () (= @t328 @t419)) % 0.38/0.94 (define @t421 () (and (forall @t57 (= (and (tptp.element @t49 @t258) (tptp.related @t249 @t248 @t49)) (tptp.in @t49 @t255))) (= (tptp.the_InternalRel @t251) (tptp.relation_restriction_as_relation_of (tptp.the_InternalRel @t249) @t255)) @t420)) % 0.38/0.94 (define @t422 () (= @t421 (= @t251 @t251))) % 0.38/0.94 (define @t423 () (not @t317)) % 0.38/0.94 (define @t424 () (or @t270 @t269 @t267 @t264 @t262 @t423 @t331 @t422)) % 0.38/0.94 (define @t425 () (forall @t347 @t344)) % 0.38/0.94 (define @t426 () (or @t270 @t269 @t267 @t264 @t262 @t423 @t331 @t421)) % 0.38/0.94 (define @t427 () (not @t99)) % 0.38/0.94 (define @t428 () (not @t100)) % 0.38/0.94 (define @t429 () (not @t101)) % 0.38/0.94 (define @t430 () (not @t22)) % 0.38/0.94 (define @t431 () (not @t102)) % 0.38/0.94 (define @t432 () (or @t206 @t182 @t224 @t431 @t430 @t429 @t428 @t427)) % 0.38/0.94 (define @t433 () (tptp.relation_of2 @t307 @t258 @t418)) % 0.38/0.94 (define @t434 () (tptp.relation_of2_as_subset @t307 @t258 @t418)) % 0.38/0.94 (define @t435 () (forall @t26 (= @t25 @t121))) % 0.38/0.94 (define @t436 () (= @t433 @t434)) % 0.38/0.94 (define @t437 () (= @t434 @t433)) % 0.38/0.94 (define @t438 () (@list @t435)) % 0.38/0.94 (define @t439 () (@list @t250 @t249)) % 0.38/0.94 (define @t440 () (tptp.quasi_total @t307 @t258 @t418)) % 0.38/0.94 (define @t441 () (tptp.function @t307)) % 0.38/0.94 (define @t442 () (and @t441 @t440 @t434)) % 0.38/0.94 (define @t443 () (or @t269 @t264 @t442)) % 0.38/0.94 (define @t444 () (@list false false false)) % 0.38/0.94 (define @t445 () (not @t442)) % 0.38/0.94 (define @t446 () (@list @t442)) % 0.38/0.94 (define @t447 () (@list false false)) % 0.38/0.94 (define @t448 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 0.38/0.94 (define @t449 () (tptp.rel_str @t448)) % 0.38/0.94 (define @t450 () (not (tptp.net_str @t448 @t2))) % 0.38/0.94 (define @t451 () (or @t450 @t449)) % 0.38/0.94 (define @t452 () (or @t182 @t451)) % 0.38/0.94 (define @t453 () (forall (@list @t2 @t448) @t452)) % 0.38/0.94 (define @t454 () (@list @t448)) % 0.38/0.94 (define @t455 () (forall @t454 @t452)) % 0.38/0.94 (define @t456 () (forall @t454 @t451)) % 0.38/0.94 (define @t457 () (or @t182 @t456)) % 0.38/0.94 (define @t458 () (forall @t33 (or @t199 @t117))) % 0.38/0.94 (define @t459 () (tptp.rel_str @t249)) % 0.38/0.94 (define @t460 () (or @t269 @t264 @t459)) % 0.38/0.94 (define @t461 () (tptp.one_sorted_str @t249)) % 0.38/0.94 (define @t462 () (not @t459)) % 0.38/0.94 (define @t463 () (or @t462 @t461)) % 0.38/0.94 (define @t464 () (tptp.apply @t307 @t247)) % 0.38/0.94 (define @t465 () (= @t308 @t464)) % 0.38/0.94 (define @t466 () (not @t433)) % 0.38/0.94 (define @t467 () (not @t440)) % 0.38/0.94 (define @t468 () (not @t441)) % 0.38/0.94 (define @t469 () (not @t461)) % 0.38/0.94 (define @t470 () (or @t267 @t469 @t270 @t269 @t468 @t467 @t466 @t260 @t465)) % 0.38/0.94 (define @t471 () (not @t25)) % 0.38/0.94 (define @t472 () (tptp.relation_dom_restriction @t307 @t255)) % 0.38/0.94 (define @t473 () (= @t419 @t472)) % 0.38/0.94 (define @t474 () (or @t468 @t466 @t473)) % 0.38/0.94 (define @t475 () (tptp.relation_of2 @t328 @t255 @t418)) % 0.38/0.94 (define @t476 () (tptp.relation_of2_as_subset @t328 @t255 @t418)) % 0.38/0.94 (define @t477 () (= @t475 @t476)) % 0.38/0.94 (define @t478 () (= @t476 @t475)) % 0.38/0.94 (define @t479 () (@list @t250 @t251)) % 0.38/0.94 (define @t480 () (tptp.quasi_total @t328 @t255 @t418)) % 0.38/0.94 (define @t481 () (tptp.function @t328)) % 0.38/0.94 (define @t482 () (and @t481 @t480 @t476)) % 0.38/0.94 (define @t483 () (or @t269 @t331 @t482)) % 0.38/0.94 (define @t484 () (not @t482)) % 0.38/0.94 (define @t485 () (@list @t482)) % 0.38/0.94 (define @t486 () (@list @t251)) % 0.38/0.94 (define @t487 () (tptp.rel_str @t251)) % 0.38/0.94 (define @t488 () (or @t269 @t331 @t487)) % 0.38/0.94 (define @t489 () (tptp.one_sorted_str @t251)) % 0.38/0.94 (define @t490 () (not @t487)) % 0.38/0.94 (define @t491 () (or @t490 @t489)) % 0.38/0.94 (define @t492 () (= @t329 (tptp.apply @t328 @t247))) % 0.38/0.94 (define @t493 () (not @t475)) % 0.38/0.94 (define @t494 () (not @t480)) % 0.38/0.94 (define @t495 () (not @t481)) % 0.38/0.94 (define @t496 () (not @t489)) % 0.38/0.94 (define @t497 () (or @t324 @t496 @t270 @t269 @t495 @t494 @t493 @t257 @t492)) % 0.38/0.94 (define @t498 () (not @t27)) % 0.38/0.94 (define @t499 () (or @t498 @t430 @t12 @t166)) % 0.38/0.94 (define @t500 () (tptp.apply @t472 @t247)) % 0.38/0.94 (define @t501 () (tptp.in @t247 @t255)) % 0.38/0.94 (define @t502 () (not @t501)) % 0.38/0.94 (define @t503 () (tptp.relation @t307)) % 0.38/0.94 (define @t504 () (not @t503)) % 0.38/0.94 (define @t505 () (or @t504 @t468 @t502 (= @t500 @t464))) % 0.38/0.94 (define @t506 () (forall @t26 @t499)) % 0.38/0.94 (define @t507 () (= @t464 @t500)) % 0.38/0.94 (define @t508 () (or @t504 @t468 @t502 @t507)) % 0.38/0.94 (define @t509 () (not @t162)) % 0.38/0.94 (define @t510 () (tptp.empty @t255)) % 0.38/0.94 (define @t511 () (not @t510)) % 0.38/0.94 (define @t512 () (or @t324 @t496 @t511)) % 0.38/0.94 (define @t513 () (or @t257 @t510 @t501)) % 0.38/0.94 (define @t514 () (or @t206 @t182 @t224 @t199)) % 0.38/0.94 (define @t515 () (and (not (tptp.empty @t307)) @t503 @t441 @t440)) % 0.38/0.94 (define @t516 () (or @t270 @t269 @t267 @t264 @t515)) % 0.38/0.94 (define @t517 () (not @t507)) % 0.38/0.94 (define @t518 () (not @t492)) % 0.38/0.94 (define @t519 () (not @t473)) % 0.38/0.94 (define @t520 () (not @t465)) % 0.38/0.94 (define @t521 () (not @t420)) % 0.38/0.94 (define @t522 () (not @t330)) % 0.38/0.94 (define @t523 () (not @t309)) % 0.38/0.94 (define @t524 () (and @t272 @t309 @t330 @t420 @t465 @t473 @t492)) % 0.38/0.94 (assume @p1 (forall @t10 (=> @t9 (=> @t6 (= @t1 (tptp.net_str_of @t2 @t5 @t4 @t3)))))) % 0.38/0.94 (assume @p2 (forall @t10 (=> @t13 @t12))) % 0.38/0.94 (assume @p3 (forall @t16 (=> @t15 @t14))) % 0.38/0.94 (assume @p4 (forall @t16 (=> @t18 @t17))) % 0.38/0.94 (assume @p5 (forall @t16 (=> @t15 @t19))) % 0.38/0.94 (assume @p6 (forall @t26 (=> @t25 (=> (and @t22 @t24) @t23)))) % 0.38/0.94 (assume @p7 (forall @t26 (=> @t29 @t27))) % 0.38/0.94 (assume @p8 (forall @t16 (=> @t14 (forall @t33 (=> @t32 @t30))))) % 0.38/0.94 (assume @p9 (forall @t16 (=> @t17 @t18))) % 0.38/0.94 (assume @p10 (forall @t16 (=> @t36 @t35))) % 0.38/0.94 (assume @p11 (forall @t10 (=> @t39 (forall @t37 (=> @t25 (=> @t23 (and @t22 @t24 @t21))))))) % 0.38/0.94 (assume @p12 (forall @t10 (=> (and @t41 @t39) (forall @t37 (=> @t25 (=> @t23 (and @t22 (not @t40) @t24 @t21))))))) % 0.38/0.94 (assume @p13 @t81) % 0.38/0.94 (assume @p14 @t88) % 0.38/0.94 (assume @p15 (forall @t96 (=> @t95 (and @t90 (tptp.net_str @t89 @t2))))) % 0.38/0.94 (assume @p16 true) % 0.38/0.94 (assume @p17 (forall @t10 (=> @t34 (tptp.relation_of2_as_subset @t97 @t1 @t1)))) % 0.38/0.94 (assume @p18 (forall @t96 (=> @t103 (tptp.element @t98 @t5)))) % 0.38/0.94 (assume @p19 (forall @t96 (=> @t105 (and (tptp.function @t104) (tptp.relation_of2_as_subset @t104 @t2 @t1))))) % 0.38/0.94 (assume @p20 (forall @t10 (=> @t34 (tptp.relation @t106)))) % 0.38/0.94 (assume @p21 (forall @t26 (=> @t107 (tptp.element @t82 @t44)))) % 0.38/0.94 (assume @p22 @t110) % 0.38/0.94 (assume @p23 (forall @t10 (=> @t34 @t112))) % 0.38/0.94 (assume @p24 (forall @t96 (=> @t114 (tptp.element @t113 @t5)))) % 0.38/0.94 (assume @p25 @t116) % 0.38/0.94 (assume @p26 @t120) % 0.38/0.94 (assume @p27 (forall @t26 (=> @t121 @t29))) % 0.38/0.94 (assume @p28 (forall @t16 (=> @t115 (tptp.relation_of2_as_subset (tptp.the_InternalRel @t2) @t44 @t44)))) % 0.38/0.94 (assume @p29 @t125) % 0.38/0.94 (assume @p30 (exists @t16 @t115)) % 0.38/0.94 (assume @p31 (exists @t16 @t8)) % 0.38/0.94 (assume @p32 (forall @t16 (=> @t8 (exists @t33 @t7)))) % 0.38/0.94 (assume @p33 (forall @t10 (exists @t37 @t25))) % 0.38/0.94 (assume @p34 (forall @t16 (exists @t33 (tptp.element @t1 @t2)))) % 0.38/0.94 (assume @p35 (forall @t10 (exists @t37 @t121))) % 0.38/0.94 (assume @p36 (forall @t10 (=> (and @t14 @t30) (tptp.finite @t28)))) % 0.38/0.94 (assume @p37 @t128) % 0.38/0.94 (assume @p38 (forall @t16 (and (not (tptp.empty @t31)) (tptp.cup_closed @t31) (tptp.diff_closed @t31) (tptp.preboolean @t31)))) % 0.38/0.94 (assume @p39 @t130) % 0.38/0.94 (assume @p40 (tptp.empty tptp.empty_set)) % 0.38/0.94 (assume @p41 @t134) % 0.38/0.94 (assume @p42 (forall @t10 (=> @t135 (and @t112 (tptp.function @t111))))) % 0.38/0.94 (assume @p43 (forall @t96 (=> (and @t8 @t39 @t94 @t93 @t92 @t91) (and (not (tptp.empty_carrier @t89)) @t90)))) % 0.38/0.94 (assume @p44 (forall @t96 (=> @t95 (forall (@list @t49 @t47 @t137 @t136) (=> (= @t89 (tptp.net_str_of @t49 @t47 @t137 @t136)) (and (= @t2 @t49) (= @t1 @t47) (= @t20 @t137) (= @t42 @t136))))))) % 0.38/0.94 (assume @p45 (exists @t16 (and @t41 @t14))) % 0.38/0.94 (assume @p46 (exists @t16 @t135)) % 0.38/0.94 (assume @p47 (forall @t10 (exists @t37 (and @t25 @t27 @t22 @t21)))) % 0.38/0.94 (assume @p48 (exists @t16 @t15)) % 0.38/0.94 (assume @p49 (exists @t16 @t36)) % 0.38/0.94 (assume @p50 (exists @t16 @t41)) % 0.38/0.94 (assume @p51 (forall @t16 (=> @t41 (exists @t33 (and @t32 @t39 @t30))))) % 0.38/0.94 (assume @p52 (exists @t16 @t35)) % 0.38/0.94 (assume @p53 (exists @t16 (and @t8 @t78))) % 0.38/0.94 (assume @p54 (forall @t16 (=> @t8 (exists @t33 (and @t7 @t6))))) % 0.38/0.94 (assume @p55 (forall @t16 (=> @t79 (exists @t33 (and (tptp.element @t1 (tptp.powerset @t44)) @t39))))) % 0.38/0.94 (assume @p56 (forall @t10 (=> @t34 (= @t97 @t106)))) % 0.38/0.94 (assume @p57 @t140) % 0.38/0.94 (assume @p58 @t142) % 0.38/0.94 (assume @p59 (forall @t96 (=> @t114 (= @t113 @t138)))) % 0.38/0.94 (assume @p60 @t143) % 0.38/0.94 (assume @p61 (forall @t10 (tptp.subset @t2 @t2))) % 0.38/0.94 (assume @p62 @t161) % 0.38/0.94 (assume @p63 (forall @t10 (=> @t13 @t162))) % 0.38/0.94 (assume @p64 @t164) % 0.38/0.94 (assume @p65 (forall @t10 (= (tptp.element @t2 (tptp.powerset @t1)) (tptp.subset @t2 @t1)))) % 0.38/0.94 (assume @p66 (forall @t26 (=> (and @t13 @t165) (tptp.element @t2 @t20)))) % 0.38/0.94 (assume @p67 (forall @t26 (not (and @t13 @t165 @t40)))) % 0.38/0.94 (assume @p68 (forall @t16 (=> @t15 (= @t2 tptp.empty_set)))) % 0.38/0.94 (assume @p69 @t169) % 0.38/0.94 (assume @p70 (forall @t10 (not (and @t13 @t38)))) % 0.38/0.94 (assume @p71 (forall @t10 (not (and @t15 (not (= @t2 @t1)) @t38)))) % 0.38/0.94 (step @p72 :rule aci_norm :args ((= @t185 @t183))) % 0.38/0.94 (step @p73 :rule cong :premises (@p72) :args (@t187)) % 0.38/0.94 (step @p74 :rule quant-merge-prenex :args ((= (forall @t16 @t189) @t187))) % 0.38/0.94 (step @p75 :rule alpha_equiv :args (@t190 (@list @t172 @t171 @t170) (@list @t1 @t192 @t191))) % 0.38/0.94 (step @p76 :rule refl :args (@t182)) % 0.38/0.94 (step @p77 :rule refl :args (@t77)) % 0.38/0.94 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t193)) % 0.38/0.94 (step @p79 :rule quant-miniscope-or :args ((= @t189 @t193))) % 0.38/0.94 (step @p80 :rule trans :premises (@p79 @p78)) % 0.38/0.94 (step @p81 :rule symm :premises (@p80)) % 0.38/0.94 (step @p82 :rule cong :premises (@p81) :args ((forall @t16 @t204))) % 0.38/0.94 (step @p83 :rule trans :premises (@p82 @p74)) % 0.38/0.94 (step @p84 :rule trans :premises (@p83 @p73)) % 0.38/0.94 (step @p85 :rule aci_norm :args ((= (or @t205 @t203) @t204))) % 0.38/0.94 (step @p86 :rule refl :args (@t203)) % 0.38/0.94 (step @p87 :rule bool-double-not-elim :args (@t77)) % 0.38/0.94 (step @p88 :rule nary_cong :premises (@p87 @p76) :args ((or @t206 @t182))) % 0.38/0.94 (step @p89 :rule bool-and-de-morgan :args (@t78 @t8 true)) % 0.38/0.94 (step @p90 :rule trans :premises (@p89 @p88)) % 0.38/0.94 (step @p91 :rule nary_cong :premises (@p90 @p86) :args ((or @t207 @t203))) % 0.38/0.94 (step @p92 :rule trans :premises (@p91 @p85)) % 0.38/0.94 (step @p93 :rule bool-impl-elim :args (@t79 @t203)) % 0.38/0.94 (step @p94 :rule trans :premises (@p93 @p92)) % 0.38/0.94 (step @p95 :rule cong :premises (@p94) :args ((forall @t16 (=> @t79 @t203)))) % 0.38/0.94 (step @p96 :rule trans :premises (@p95 @p84)) % 0.38/0.94 (step @p97 :rule aci_norm :args ((= @t209 @t201))) % 0.38/0.94 (step @p98 :rule cong :premises (@p97) :args (@t210)) % 0.38/0.94 (step @p99 :rule quant-merge-prenex :args ((= (forall @t33 @t212) @t210))) % 0.38/0.94 (step @p100 :rule alpha_equiv :args (@t213 (@list @t192 @t191) (@list @t20 @t214))) % 0.38/0.94 (step @p101 :rule refl :args (@t199)) % 0.38/0.94 (step @p102 :rule refl :args (@t200)) % 0.38/0.94 (step @p103 :rule refl :args (@t72)) % 0.38/0.94 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100) :args (@t215)) % 0.38/0.94 (step @p105 :rule quant-miniscope-or :args ((= @t212 @t215))) % 0.38/0.94 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.94 (step @p107 :rule symm :premises (@p106)) % 0.38/0.94 (step @p108 :rule cong :premises (@p107) :args ((forall @t33 @t223))) % 0.38/0.94 (step @p109 :rule trans :premises (@p108 @p99)) % 0.38/0.94 (step @p110 :rule trans :premises (@p109 @p98)) % 0.38/0.94 (step @p111 :rule aci_norm :args ((= (or (or @t72 @t200 @t199) @t222) @t223))) % 0.38/0.94 (step @p112 :rule refl :args (@t222)) % 0.38/0.94 (step @p113 :rule bool-double-not-elim :args (@t72)) % 0.38/0.94 (step @p114 :rule nary_cong :premises (@p113 @p102 @p101) :args (@t225)) % 0.38/0.94 (step @p115 :rule aci_norm :args ((= (or @t224 (or @t200 @t199)) @t225))) % 0.38/0.94 (step @p116 :rule trans :premises (@p115 @p114)) % 0.38/0.94 (step @p117 :rule bool-and-de-morgan :args (@t132 @t7 true)) % 0.38/0.94 (step @p118 :rule refl :args (@t224)) % 0.38/0.94 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t224 (not (and @t132 @t7))))) % 0.38/0.94 (step @p120 :rule bool-and-de-morgan :args (@t73 @t132 (and @t7))) % 0.38/0.94 (step @p121 :rule trans :premises (@p120 @p119)) % 0.38/0.94 (step @p122 :rule trans :premises (@p121 @p116)) % 0.38/0.94 (step @p123 :rule nary_cong :premises (@p122 @p112) :args ((or (not @t156) @t222))) % 0.38/0.94 (step @p124 :rule trans :premises (@p123 @p111)) % 0.38/0.94 (step @p125 :rule bool-impl-elim :args (@t156 @t222)) % 0.38/0.94 (step @p126 :rule trans :premises (@p125 @p124)) % 0.38/0.94 (step @p127 :rule cong :premises (@p126) :args ((forall @t33 (=> @t156 @t222)))) % 0.38/0.94 (step @p128 :rule trans :premises (@p127 @p110)) % 0.38/0.94 (step @p129 :rule aci_norm :args ((= @t227 @t220))) % 0.38/0.94 (step @p130 :rule cong :premises (@p129) :args (@t228)) % 0.38/0.94 (step @p131 :rule quant-merge-prenex :args ((= (forall @t37 @t230) @t228))) % 0.38/0.94 (step @p132 :rule alpha_equiv :args (@t231 (@list @t214) @t232)) % 0.38/0.94 (step @p133 :rule refl :args (@t219)) % 0.38/0.94 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t233)) % 0.38/0.94 (step @p135 :rule quant-miniscope-or :args ((= @t230 @t233))) % 0.38/0.94 (step @p136 :rule trans :premises (@p135 @p134)) % 0.38/0.94 (step @p137 :rule symm :premises (@p136)) % 0.38/0.94 (step @p138 :rule cong :premises (@p137) :args ((forall @t37 (or @t219 @t238)))) % 0.38/0.94 (step @p139 :rule trans :premises (@p138 @p131)) % 0.38/0.94 (step @p140 :rule trans :premises (@p139 @p130)) % 0.38/0.94 (step @p141 :rule bool-impl-elim :args (@t69 @t238)) % 0.38/0.94 (step @p142 :rule cong :premises (@p141) :args ((forall @t37 (=> @t69 @t238)))) % 0.38/0.94 (step @p143 :rule trans :premises (@p142 @p140)) % 0.38/0.94 (step @p144 :rule aci_norm :args ((= (or @t236 @t239) @t237))) % 0.38/0.94 (step 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0.38/0.94 (step @p775 :rule refl :args (@t518)) % 0.38/0.94 (step @p776 :rule refl :args (@t519)) % 0.38/0.94 (step @p777 :rule refl :args (@t520)) % 0.38/0.94 (step @p778 :rule refl :args (@t521)) % 0.38/0.94 (step @p779 :rule refl :args (@t522)) % 0.38/0.94 (step @p780 :rule refl :args (@t523)) % 0.38/0.94 (step @p781 :rule bool-double-not-elim :args (@t254)) % 0.38/0.94 (step @p782 :rule nary_cong :premises (@p781 @p780 @p779 @p778 @p777 @p776 @p775 @p774) :args ((or (not @t272) @t523 @t522 @t521 @t520 @t519 @t518 @t517))) % 0.38/0.94 (assume-push @p826 @t272) % 0.38/0.94 (assume-push @p827 @t309) % 0.38/0.94 (assume-push @p828 @t330) % 0.38/0.94 (assume-push @p829 @t420) % 0.38/0.94 (assume-push @p830 @t465) % 0.38/0.94 (assume-push @p831 @t473) % 0.38/0.94 (assume-push @p832 @t492) % 0.38/0.94 (step @p790 :rule false_intro :premises (@p197)) % 0.38/0.94 (step @p791 :rule symm :premises (@p358)) % 0.38/0.94 (step @p792 :rule symm :premises (@p701)) % 0.38/0.94 (step @p793 :rule refl :args (@t247)) % 0.38/0.94 (step @p794 :rule symm :premises (@p541)) % 0.38/0.94 (step @p795 :rule symm :premises (@p664)) % 0.38/0.94 (step @p796 :rule trans :premises (@p795 @p794)) % 0.38/0.94 (step @p797 :rule cong :premises (@p796 @p793) :args (@t500)) % 0.38/0.94 (step @p798 :rule trans :premises (@p797 @p792 @p791)) % 0.38/0.94 (step @p799 :rule symm :premises (@p275)) % 0.38/0.94 (step @p800 :rule symm :premises (@p651)) % 0.38/0.94 (step @p801 :rule trans :premises (@p800 @p799)) % 0.38/0.94 (step @p802 :rule cong :premises (@p801 @p798) :args (@t507)) % 0.38/0.94 (step @p803 :rule trans :premises (@p802 @p790)) % 0.38/0.94 (step @p804 :rule false_elim :premises (@p803)) % 0.38/0.94 (step-pop @p833 :rule scope :premises (@p804)) % 0.38/0.94 (step-pop @p834 :rule scope :premises (@p833)) % 0.38/0.94 (step-pop @p835 :rule scope :premises (@p834)) % 0.38/0.94 (step-pop @p836 :rule scope :premises (@p835)) % 0.38/0.94 (step-pop @p837 :rule scope :premises (@p836)) % 0.38/0.94 (step-pop @p838 :rule scope :premises (@p837)) % 0.38/0.94 (step-pop @p839 :rule scope :premises (@p838)) % 0.38/0.94 (step @p805 :rule process_scope :premises (@p839) :args (@t517)) % 0.38/0.94 (step @p813 :rule implies_elim :premises (@p805)) % 0.38/0.94 (step @p814 :rule cnf_and_neg :args (@t524)) % 0.38/0.94 (step @p815 :rule resolution :premises (@p814 @p813) :args (true @t524)) % 0.38/0.94 (step @p816 :rule eq_resolve :premises (@p815 @p782)) % 0.38/0.94 (step @p817 false :rule chain_m_resolution :premises (@p816 @p773 @p701 @p664 @p651 @p541 @p358 @p275 @p197) :args (false (@list false false false false false false false true) (@list @t507 @t492 @t473 @t465 @t420 @t330 @t309 @t254))) % 0.38/0.94 ) % 0.38/0.94 % SZS output end Proof % 0.38/0.94 % cvc5 exiting %------------------------------------------------------------------------------