%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU390+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 : n027.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 247.57s 247.88s % Output : Proof 247.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU390+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 : n027.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 17:07:21 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 247.57/247.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 247.57/247.88 --- Run --no-e-matching --full-saturate-quant at 6... % 247.57/247.88 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 247.57/247.88 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 247.57/247.88 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 247.57/247.88 --- Run --trigger-sel=max --full-saturate-quant at 15... % 247.57/247.88 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 247.57/247.88 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 247.57/247.88 --- Run --prenex-quant=none --full-saturate-quant at 30... % 247.57/247.88 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 247.57/247.88 --- Run --relevant-triggers --full-saturate-quant at 30... % 247.57/247.88 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 247.57/247.88 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 247.57/247.88 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 247.57/247.88 % SZS status Theorem % 247.57/247.88 % SZS output start Proof % 247.57/247.88 ( % 247.57/247.88 (declare-sort $$unsorted 0) % 247.57/247.88 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.empty (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.is_eventually_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.finite (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.apply_netmap (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.netstr_induced_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.relation (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.apply_on_structs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.partfun_dom_restriction (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.empty_set $$unsorted) % 247.57/247.88 (declare-const tptp.relation_restriction_as_relation_of (-> $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.subnetstr_of_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 247.57/247.88 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 247.57/247.88 (declare-const tptp.function (-> $$unsorted Bool)) % 247.57/247.88 (define @t1 () (@var "B" $$unsorted)) % 247.57/247.88 (define @t2 () (@var "A" $$unsorted)) % 247.57/247.88 (define @t3 () (tptp.the_mapping @t2 @t1)) % 247.57/247.88 (define @t4 () (tptp.the_InternalRel @t1)) % 247.57/247.88 (define @t5 () (tptp.the_carrier @t1)) % 247.57/247.88 (define @t6 () (tptp.strict_net_str @t1 @t2)) % 247.57/247.88 (define @t7 () (tptp.net_str @t1 @t2)) % 247.57/247.88 (define @t8 () (tptp.one_sorted_str @t2)) % 247.57/247.88 (define @t9 () (and @t8 @t7)) % 247.57/247.88 (define @t10 () (@list @t2 @t1)) % 247.57/247.88 (define @t11 () (tptp.in @t2 @t1)) % 247.57/247.88 (define @t12 () (tptp.finite @t2)) % 247.57/247.88 (define @t13 () (tptp.empty @t2)) % 247.57/247.88 (define @t14 () (@list @t2)) % 247.57/247.88 (define @t15 () (tptp.relation @t2)) % 247.57/247.88 (define @t16 () (@var "C" $$unsorted)) % 247.57/247.88 (define @t17 () (tptp.cartesian_product2 @t2 @t1)) % 247.57/247.88 (define @t18 () (tptp.element @t16 (tptp.powerset @t17))) % 247.57/247.88 (define @t19 () (@list @t2 @t1 @t16)) % 247.57/247.88 (define @t20 () (tptp.finite @t1)) % 247.57/247.88 (define @t21 () (tptp.powerset @t2)) % 247.57/247.88 (define @t22 () (tptp.element @t1 @t21)) % 247.57/247.88 (define @t23 () (@list @t1)) % 247.57/247.88 (define @t24 () (@var "E" $$unsorted)) % 247.57/247.88 (define @t25 () (tptp.apply_netmap @t2 @t1 @t24)) % 247.57/247.88 (define @t26 () (tptp.in @t25 @t16)) % 247.57/247.88 (define @t27 () (@var "D" $$unsorted)) % 247.57/247.88 (define @t28 () (tptp.related @t1 @t27 @t24)) % 247.57/247.88 (define @t29 () (=> @t28 @t26)) % 247.57/247.88 (define @t30 () (tptp.element @t24 @t5)) % 247.57/247.88 (define @t31 () (@list @t24)) % 247.57/247.88 (define @t32 () (forall @t31 (=> @t30 @t29))) % 247.57/247.88 (define @t33 () (tptp.element @t27 @t5)) % 247.57/247.88 (define @t34 () (and @t33 @t32)) % 247.57/247.88 (define @t35 () (@list @t27)) % 247.57/247.88 (define @t36 () (exists @t35 @t34)) % 247.57/247.88 (define @t37 () (tptp.is_eventually_in @t2 @t1 @t16)) % 247.57/247.88 (define @t38 () (= @t37 @t36)) % 247.57/247.88 (define @t39 () (@list @t16)) % 247.57/247.88 (define @t40 () (forall @t39 @t38)) % 247.57/247.88 (define @t41 () (tptp.empty_carrier @t1)) % 247.57/247.88 (define @t42 () (not @t41)) % 247.57/247.88 (define @t43 () (and @t42 @t7)) % 247.57/247.88 (define @t44 () (=> @t43 @t40)) % 247.57/247.88 (define @t45 () (forall @t23 @t44)) % 247.57/247.88 (define @t46 () (tptp.empty_carrier @t2)) % 247.57/247.88 (define @t47 () (not @t46)) % 247.57/247.88 (define @t48 () (and @t47 @t8)) % 247.57/247.88 (define @t49 () (=> @t48 @t45)) % 247.57/247.88 (define @t50 () (forall @t14 @t49)) % 247.57/247.88 (define @t51 () (tptp.netstr_restr_to_element @t2 @t1 @t27)) % 247.57/247.88 (define @t52 () (tptp.the_carrier @t2)) % 247.57/247.88 (define @t53 () (tptp.relation_rng_as_subset (tptp.the_carrier @t51) @t52 (tptp.the_mapping @t2 @t51))) % 247.57/247.88 (define @t54 () (= @t16 @t53)) % 247.57/247.88 (define @t55 () (and @t33 @t54)) % 247.57/247.88 (define @t56 () (exists @t35 @t55)) % 247.57/247.88 (define @t57 () (tptp.netstr_induced_subset @t16 @t2 @t1)) % 247.57/247.88 (define @t58 () (= @t57 @t56)) % 247.57/247.88 (define @t59 () (tptp.powerset @t52)) % 247.57/247.88 (define @t60 () (tptp.element @t16 @t59)) % 247.57/247.88 (define @t61 () (=> @t60 @t58)) % 247.57/247.88 (define @t62 () (forall @t39 @t61)) % 247.57/247.88 (define @t63 () (=> @t43 @t62)) % 247.57/247.88 (define @t64 () (forall @t23 @t63)) % 247.57/247.88 (define @t65 () (=> @t48 @t64)) % 247.57/247.88 (define @t66 () (forall @t14 @t65)) % 247.57/247.88 (define @t67 () (tptp.the_carrier @t27)) % 247.57/247.88 (define @t68 () (= (tptp.the_mapping @t2 @t27) (tptp.partfun_dom_restriction @t5 @t52 @t3 @t67))) % 247.57/247.88 (define @t69 () (= (tptp.the_InternalRel @t27) (tptp.relation_restriction_as_relation_of @t4 @t67))) % 247.57/247.88 (define @t70 () (@var "F" $$unsorted)) % 247.57/247.88 (define @t71 () (tptp.related @t1 @t16 @t70)) % 247.57/247.88 (define @t72 () (= @t70 @t24)) % 247.57/247.88 (define @t73 () (tptp.element @t70 @t5)) % 247.57/247.88 (define @t74 () (and @t73 @t72 @t71)) % 247.57/247.88 (define @t75 () (@list @t70)) % 247.57/247.88 (define @t76 () (exists @t75 @t74)) % 247.57/247.88 (define @t77 () (tptp.in @t24 @t67)) % 247.57/247.88 (define @t78 () (= @t77 @t76)) % 247.57/247.88 (define @t79 () (forall @t31 @t78)) % 247.57/247.88 (define @t80 () (and @t79 @t69 @t68)) % 247.57/247.88 (define @t81 () (tptp.netstr_restr_to_element @t2 @t1 @t16)) % 247.57/247.88 (define @t82 () (= @t27 @t81)) % 247.57/247.88 (define @t83 () (= @t82 @t80)) % 247.57/247.88 (define @t84 () (tptp.net_str @t27 @t2)) % 247.57/247.88 (define @t85 () (tptp.strict_net_str @t27 @t2)) % 247.57/247.88 (define @t86 () (and @t85 @t84)) % 247.57/247.88 (define @t87 () (=> @t86 @t83)) % 247.57/247.88 (define @t88 () (forall @t35 @t87)) % 247.57/247.88 (define @t89 () (tptp.element @t16 @t5)) % 247.57/247.88 (define @t90 () (=> @t89 @t88)) % 247.57/247.88 (define @t91 () (forall @t39 @t90)) % 247.57/247.88 (define @t92 () (=> @t43 @t91)) % 247.57/247.88 (define @t93 () (forall @t23 @t92)) % 247.57/247.88 (define @t94 () (=> @t48 @t93)) % 247.57/247.88 (define @t95 () (forall @t14 @t94)) % 247.57/247.88 (define @t96 () (tptp.apply_netmap @t2 @t1 @t16)) % 247.57/247.88 (define @t97 () (= @t96 (tptp.apply_on_structs @t1 @t2 @t3 @t16))) % 247.57/247.88 (define @t98 () (forall @t39 (=> @t89 @t97))) % 247.57/247.88 (define @t99 () (=> @t43 @t98)) % 247.57/247.88 (define @t100 () (forall @t23 @t99)) % 247.57/247.88 (define @t101 () (=> @t48 @t100)) % 247.57/247.88 (define @t102 () (forall @t14 @t101)) % 247.57/247.88 (define @t103 () (tptp.net_str_of @t2 @t1 @t16 @t27)) % 247.57/247.88 (define @t104 () (tptp.strict_net_str @t103 @t2)) % 247.57/247.88 (define @t105 () (tptp.relation_of2 @t27 @t1 @t52)) % 247.57/247.88 (define @t106 () (tptp.quasi_total @t27 @t1 @t52)) % 247.57/247.88 (define @t107 () (tptp.function @t27)) % 247.57/247.88 (define @t108 () (tptp.relation_of2 @t16 @t1 @t1)) % 247.57/247.88 (define @t109 () (and @t8 @t108 @t107 @t106 @t105)) % 247.57/247.88 (define @t110 () (@list @t2 @t1 @t16 @t27)) % 247.57/247.88 (define @t111 () (tptp.relation_restriction_as_relation_of @t2 @t1)) % 247.57/247.88 (define @t112 () (tptp.apply_on_structs @t2 @t1 @t16 @t27)) % 247.57/247.88 (define @t113 () (tptp.element @t27 @t52)) % 247.57/247.88 (define @t114 () (tptp.relation_of2 @t16 @t52 @t5)) % 247.57/247.88 (define @t115 () (tptp.quasi_total @t16 @t52 @t5)) % 247.57/247.88 (define @t116 () (tptp.function @t16)) % 247.57/247.88 (define @t117 () (tptp.one_sorted_str @t1)) % 247.57/247.88 (define @t118 () (and @t47 @t8 @t42 @t117 @t116 @t115 @t114 @t113)) % 247.57/247.88 (define @t119 () (tptp.partfun_dom_restriction @t2 @t1 @t16 @t27)) % 247.57/247.88 (define @t120 () (tptp.relation_of2 @t16 @t2 @t1)) % 247.57/247.88 (define @t121 () (and @t116 @t120)) % 247.57/247.88 (define @t122 () (tptp.relation_restriction @t2 @t1)) % 247.57/247.88 (define @t123 () (and @t47 @t8 @t42 @t7 @t89)) % 247.57/247.88 (define @t124 () (tptp.powerset @t1)) % 247.57/247.88 (define @t125 () (tptp.relation_rng_as_subset @t2 @t1 @t16)) % 247.57/247.88 (define @t126 () (tptp.strict_net_str @t81 @t2)) % 247.57/247.88 (define @t127 () (and @t126 (tptp.net_str @t81 @t2))) % 247.57/247.88 (define @t128 () (forall @t19 (=> @t123 @t127))) % 247.57/247.88 (define @t129 () (tptp.subnetstr_of_element @t2 @t1 @t16)) % 247.57/247.88 (define @t130 () (tptp.directed_relstr @t1)) % 247.57/247.88 (define @t131 () (tptp.transitive_relstr @t1)) % 247.57/247.88 (define @t132 () (and @t47 @t8 @t42 @t131 @t130 @t7 @t89)) % 247.57/247.88 (define @t133 () (tptp.relation_dom_restriction @t2 @t1)) % 247.57/247.88 (define @t134 () (tptp.relation @t133)) % 247.57/247.88 (define @t135 () (tptp.rel_str @t2)) % 247.57/247.88 (define @t136 () (forall @t14 (=> @t135 @t8))) % 247.57/247.88 (define @t137 () (tptp.rel_str @t1)) % 247.57/247.88 (define @t138 () (forall @t23 (=> @t7 @t137))) % 247.57/247.88 (define @t139 () (=> @t8 @t138)) % 247.57/247.88 (define @t140 () (forall @t14 @t139)) % 247.57/247.88 (define @t141 () (forall @t39 (=> @t57 @t60))) % 247.57/247.88 (define @t142 () (and @t47 @t8 @t42 @t7)) % 247.57/247.88 (define @t143 () (=> @t142 @t141)) % 247.57/247.88 (define @t144 () (forall @t10 @t143)) % 247.57/247.88 (define @t145 () (tptp.relation_of2_as_subset @t16 @t2 @t1)) % 247.57/247.88 (define @t146 () (tptp.directed_relstr @t16)) % 247.57/247.88 (define @t147 () (tptp.transitive_relstr @t16)) % 247.57/247.88 (define @t148 () (not (tptp.empty_carrier @t16))) % 247.57/247.88 (define @t149 () (tptp.subnet @t16 @t2 @t1)) % 247.57/247.88 (define @t150 () (and @t47 @t8 @t42 @t131 @t130 @t7)) % 247.57/247.88 (define @t151 () (tptp.quasi_total @t3 @t5 @t52)) % 247.57/247.88 (define @t152 () (tptp.function @t3)) % 247.57/247.88 (define @t153 () (and @t152 @t151 (tptp.relation_of2_as_subset @t3 @t5 @t52))) % 247.57/247.88 (define @t154 () (forall @t10 (=> @t9 @t153))) % 247.57/247.88 (define @t155 () (tptp.relation tptp.empty_set)) % 247.57/247.88 (define @t156 () (tptp.empty tptp.empty_set)) % 247.57/247.88 (define @t157 () (and @t15 (tptp.relation_empty_yielding @t2))) % 247.57/247.88 (define @t158 () (not (tptp.empty @t52))) % 247.57/247.88 (define @t159 () (forall @t14 (=> @t48 @t158))) % 247.57/247.88 (define @t160 () (not (tptp.empty_carrier @t81))) % 247.57/247.88 (define @t161 () (and @t160 @t126)) % 247.57/247.88 (define @t162 () (and @t47 @t8 @t42 @t130 @t7 @t89)) % 247.57/247.88 (define @t163 () (forall @t19 (=> @t162 @t161))) % 247.57/247.88 (define @t164 () (tptp.empty @t1)) % 247.57/247.88 (define @t165 () (not @t164)) % 247.57/247.88 (define @t166 () (not @t13)) % 247.57/247.88 (define @t167 () (tptp.relation_rng @t2)) % 247.57/247.88 (define @t168 () (tptp.empty @t167)) % 247.57/247.88 (define @t169 () (and @t166 @t15)) % 247.57/247.88 (define @t170 () (@var "H" $$unsorted)) % 247.57/247.88 (define @t171 () (@var "G" $$unsorted)) % 247.57/247.88 (define @t172 () (= @t112 (tptp.apply @t16 @t27))) % 247.57/247.88 (define @t173 () (forall @t110 (=> @t118 @t172))) % 247.57/247.88 (define @t174 () (= @t125 (tptp.relation_rng @t16))) % 247.57/247.88 (define @t175 () (forall @t19 (=> @t120 @t174))) % 247.57/247.88 (define @t176 () (forall @t19 (= @t145 @t120))) % 247.57/247.88 (define @t177 () (tptp.apply_netmap @t2 @t1 @t27)) % 247.57/247.88 (define @t178 () (= @t177 (tptp.apply_netmap @t2 @t81 @t24))) % 247.57/247.88 (define @t179 () (= @t27 @t24)) % 247.57/247.88 (define @t180 () (=> @t179 @t178)) % 247.57/247.88 (define @t181 () (tptp.the_carrier @t81)) % 247.57/247.88 (define @t182 () (tptp.element @t24 @t181)) % 247.57/247.88 (define @t183 () (forall @t31 (=> @t182 @t180))) % 247.57/247.88 (define @t184 () (=> @t33 @t183)) % 247.57/247.88 (define @t185 () (forall @t35 @t184)) % 247.57/247.88 (define @t186 () (=> @t89 @t185)) % 247.57/247.88 (define @t187 () (forall @t39 @t186)) % 247.57/247.88 (define @t188 () (and @t42 @t130 @t7)) % 247.57/247.88 (define @t189 () (=> @t188 @t187)) % 247.57/247.88 (define @t190 () (forall @t23 @t189)) % 247.57/247.88 (define @t191 () (=> @t48 @t190)) % 247.57/247.88 (define @t192 () (forall @t14 @t191)) % 247.57/247.88 (define @t193 () (tptp.element @t2 @t1)) % 247.57/247.88 (define @t194 () (forall @t10 (=> @t11 @t193))) % 247.57/247.88 (define @t195 () (tptp.element @t1 (tptp.powerset @t16))) % 247.57/247.88 (define @t196 () (tptp.in (tptp.apply @t27 @t16) (tptp.relation_rng @t27))) % 247.57/247.88 (define @t197 () (= @t1 tptp.empty_set)) % 247.57/247.88 (define @t198 () (or @t197 @t196)) % 247.57/247.88 (define @t199 () (tptp.in @t16 @t2)) % 247.57/247.88 (define @t200 () (=> @t199 @t198)) % 247.57/247.88 (define @t201 () (tptp.relation_of2_as_subset @t27 @t2 @t1)) % 247.57/247.88 (define @t202 () (tptp.quasi_total @t27 @t2 @t1)) % 247.57/247.88 (define @t203 () (and @t107 @t202 @t201)) % 247.57/247.88 (define @t204 () (forall @t110 (=> @t203 @t200))) % 247.57/247.88 (define @t205 () (forall @t39 (=> @t57 @t37))) % 247.57/247.88 (define @t206 () (and @t42 @t131 @t130 @t7)) % 247.57/247.88 (define @t207 () (=> @t206 @t205)) % 247.57/247.88 (define @t208 () (forall @t23 @t207)) % 247.57/247.88 (define @t209 () (=> @t48 @t208)) % 247.57/247.88 (define @t210 () (forall @t14 @t209)) % 247.57/247.88 (define @t211 () (not @t210)) % 247.57/247.88 (define @t212 () (not @t8)) % 247.57/247.88 (define @t213 () (or @t46 @t212)) % 247.57/247.88 (define @t214 () (not @t47)) % 247.57/247.88 (define @t215 () (not @t48)) % 247.57/247.88 (define @t216 () (@var "BOUND_VARIABLE_8864" $$unsorted)) % 247.57/247.88 (define @t217 () (@var "BOUND_VARIABLE_8862" $$unsorted)) % 247.57/247.88 (define @t218 () (tptp.is_eventually_in @t2 @t217 @t216)) % 247.57/247.88 (define @t219 () (not (tptp.netstr_induced_subset @t216 @t2 @t217))) % 247.57/247.88 (define @t220 () (not (tptp.net_str @t217 @t2))) % 247.57/247.88 (define @t221 () (not (tptp.directed_relstr @t217))) % 247.57/247.88 (define @t222 () (not (tptp.transitive_relstr @t217))) % 247.57/247.88 (define @t223 () (tptp.empty_carrier @t217)) % 247.57/247.88 (define @t224 () (or @t46 @t212 @t223 @t222 @t221 @t220 @t219 @t218)) % 247.57/247.88 (define @t225 () (@list @t2 @t217 @t216)) % 247.57/247.88 (define @t226 () (forall @t225 @t224)) % 247.57/247.88 (define @t227 () (@quantifiers_skolemize @t226 0)) % 247.57/247.88 (define @t228 () (or @t223 @t222 @t221 @t220 @t219 @t218)) % 247.57/247.88 (define @t229 () (or @t46 @t212 @t228)) % 247.57/247.88 (define @t230 () (forall @t225 @t229)) % 247.57/247.88 (define @t231 () (@list @t217 @t216)) % 247.57/247.88 (define @t232 () (forall @t231 @t229)) % 247.57/247.88 (define @t233 () (forall @t231 @t228)) % 247.57/247.88 (define @t234 () (@var "BOUND_VARIABLE_8847" $$unsorted)) % 247.57/247.88 (define @t235 () (or @t46 @t212 @t233)) % 247.57/247.88 (define @t236 () (tptp.is_eventually_in @t2 @t1 @t234)) % 247.57/247.88 (define @t237 () (not (tptp.netstr_induced_subset @t234 @t2 @t1))) % 247.57/247.88 (define @t238 () (not @t7)) % 247.57/247.88 (define @t239 () (not @t130)) % 247.57/247.88 (define @t240 () (not @t131)) % 247.57/247.88 (define @t241 () (or @t41 @t240 @t239 @t238 @t237 @t236)) % 247.57/247.88 (define @t242 () (@list @t1 @t234)) % 247.57/247.88 (define @t243 () (forall @t242 @t241)) % 247.57/247.88 (define @t244 () (or @t46 @t212 @t243)) % 247.57/247.88 (define @t245 () (or @t237 @t236)) % 247.57/247.88 (define @t246 () (or @t41 @t240 @t239 @t238 @t245)) % 247.57/247.88 (define @t247 () (forall @t242 @t246)) % 247.57/247.88 (define @t248 () (@list @t234)) % 247.57/247.88 (define @t249 () (forall @t248 @t246)) % 247.57/247.88 (define @t250 () (forall @t248 @t245)) % 247.57/247.88 (define @t251 () (@list @t16)) % 247.57/247.88 (define @t252 () (or @t41 @t240 @t239 @t238 @t250)) % 247.57/247.88 (define @t253 () (not @t57)) % 247.57/247.88 (define @t254 () (forall @t39 (or @t253 @t37))) % 247.57/247.88 (define @t255 () (or @t41 @t240 @t239 @t238 @t254)) % 247.57/247.88 (define @t256 () (not @t42)) % 247.57/247.88 (define @t257 () (or @t256 @t240 @t239 @t238)) % 247.57/247.88 (define @t258 () (or @t239 @t238)) % 247.57/247.88 (define @t259 () (not (and @t130 @t7))) % 247.57/247.88 (define @t260 () (tptp.one_sorted_str @t227)) % 247.57/247.88 (define @t261 () (@quantifiers_skolemize @t226 2)) % 247.57/247.88 (define @t262 () (@quantifiers_skolemize @t226 1)) % 247.57/247.88 (define @t263 () (tptp.is_eventually_in @t227 @t262 @t261)) % 247.57/247.88 (define @t264 () (tptp.netstr_induced_subset @t261 @t227 @t262)) % 247.57/247.88 (define @t265 () (not @t264)) % 247.57/247.88 (define @t266 () (tptp.net_str @t262 @t227)) % 247.57/247.88 (define @t267 () (not @t266)) % 247.57/247.88 (define @t268 () (tptp.directed_relstr @t262)) % 247.57/247.88 (define @t269 () (not @t268)) % 247.57/247.88 (define @t270 () (tptp.empty_carrier @t262)) % 247.57/247.88 (define @t271 () (not @t260)) % 247.57/247.88 (define @t272 () (tptp.empty_carrier @t227)) % 247.57/247.88 (define @t273 () (or @t272 @t271 @t270 (not (tptp.transitive_relstr @t262)) @t269 @t267 @t265 @t263)) % 247.57/247.88 (define @t274 () (@list true)) % 247.57/247.88 (define @t275 () (@list @t273)) % 247.57/247.88 (define @t276 () (tptp.the_carrier @t227)) % 247.57/247.88 (define @t277 () (tptp.empty @t276)) % 247.57/247.88 (define @t278 () (not @t277)) % 247.57/247.88 (define @t279 () (or @t272 @t271 @t278)) % 247.57/247.88 (define @t280 () (not @t199)) % 247.57/247.88 (define @t281 () (not @t201)) % 247.57/247.88 (define @t282 () (not @t202)) % 247.57/247.88 (define @t283 () (not @t107)) % 247.57/247.88 (define @t284 () (or @t283 @t282 @t281 @t280 @t197 @t196)) % 247.57/247.88 (define @t285 () (or @t280 @t197 @t196)) % 247.57/247.88 (define @t286 () (or @t283 @t282 @t281)) % 247.57/247.88 (define @t287 () (tptp.netstr_restr_to_element @t227 @t262 @t27)) % 247.57/247.88 (define @t288 () (tptp.the_carrier @t262)) % 247.57/247.88 (define @t289 () (not (tptp.element @t27 @t288))) % 247.57/247.88 (define @t290 () (forall @t35 (or @t289 (not (= @t261 (tptp.relation_rng_as_subset (tptp.the_carrier @t287) @t276 (tptp.the_mapping @t227 @t287))))))) % 247.57/247.88 (define @t291 () (@quantifiers_skolemize @t290 0)) % 247.57/247.88 (define @t292 () (tptp.netstr_restr_to_element @t227 @t262 @t291)) % 247.57/247.88 (define @t293 () (tptp.the_mapping @t227 @t292)) % 247.57/247.88 (define @t294 () (tptp.relation_rng @t293)) % 247.57/247.88 (define @t295 () (tptp.in (tptp.apply_netmap @t227 @t262 @t24) @t261)) % 247.57/247.88 (define @t296 () (tptp.related @t262 @t291 @t24)) % 247.57/247.88 (define @t297 () (tptp.element @t24 @t288)) % 247.57/247.88 (define @t298 () (not @t297)) % 247.57/247.88 (define @t299 () (forall @t31 (or @t298 (not @t296) @t295))) % 247.57/247.88 (define @t300 () (@quantifiers_skolemize @t299 0)) % 247.57/247.88 (define @t301 () (tptp.apply @t293 @t300)) % 247.57/247.88 (define @t302 () (tptp.in @t301 @t294)) % 247.57/247.88 (define @t303 () (tptp.the_carrier @t292)) % 247.57/247.88 (define @t304 () (tptp.in @t300 @t303)) % 247.57/247.88 (define @t305 () (not @t304)) % 247.57/247.88 (define @t306 () (tptp.relation_of2_as_subset @t293 @t303 @t276)) % 247.57/247.88 (define @t307 () (not @t306)) % 247.57/247.88 (define @t308 () (tptp.quasi_total @t293 @t303 @t276)) % 247.57/247.88 (define @t309 () (not @t308)) % 247.57/247.88 (define @t310 () (tptp.function @t293)) % 247.57/247.88 (define @t311 () (not @t310)) % 247.57/247.88 (define @t312 () (or @t311 @t309 @t307 @t305 (= @t276 tptp.empty_set) @t302)) % 247.57/247.88 (define @t313 () (forall @t110 @t284)) % 247.57/247.88 (define @t314 () (= tptp.empty_set @t276)) % 247.57/247.88 (define @t315 () (or @t311 @t309 @t307 @t305 @t314 @t302)) % 247.57/247.88 (define @t316 () (@list false)) % 247.57/247.88 (define @t317 () (@var "BOUND_VARIABLE_8234" $$unsorted)) % 247.57/247.88 (define @t318 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 247.57/247.88 (define @t319 () (@var "BOUND_VARIABLE_8236" $$unsorted)) % 247.57/247.88 (define @t320 () (tptp.the_carrier @t319)) % 247.57/247.88 (define @t321 () (tptp.the_carrier @t318)) % 247.57/247.88 (define @t322 () (= (and (forall @t31 (= (and (tptp.element @t24 @t321) (tptp.related @t318 @t317 @t24)) (tptp.in @t24 @t320))) (= (tptp.the_InternalRel @t319) (tptp.relation_restriction_as_relation_of (tptp.the_InternalRel @t318) @t320)) (= (tptp.the_mapping @t2 @t319) (tptp.partfun_dom_restriction @t321 @t52 (tptp.the_mapping @t2 @t318) @t320))) (= @t319 (tptp.netstr_restr_to_element @t2 @t318 @t317)))) % 247.57/247.88 (define @t323 () (not (tptp.net_str @t319 @t2))) % 247.57/247.88 (define @t324 () (not (tptp.strict_net_str @t319 @t2))) % 247.57/247.88 (define @t325 () (not (tptp.element @t317 @t321))) % 247.57/247.88 (define @t326 () (not (tptp.net_str @t318 @t2))) % 247.57/247.88 (define @t327 () (tptp.empty_carrier @t318)) % 247.57/247.88 (define @t328 () (or @t46 @t212 @t327 @t326 @t325 @t324 @t323 @t322)) % 247.57/247.88 (define @t329 () (or @t327 @t326 @t325 @t324 @t323 @t322)) % 247.57/247.88 (define @t330 () (or @t46 @t212 @t329)) % 247.57/247.88 (define @t331 () (@list @t2 @t318 @t317 @t319)) % 247.57/247.88 (define @t332 () (forall @t331 @t330)) % 247.57/247.88 (define @t333 () (@list @t318 @t317 @t319)) % 247.57/247.88 (define @t334 () (forall @t333 @t330)) % 247.57/247.88 (define @t335 () (forall @t333 @t329)) % 247.57/247.88 (define @t336 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 247.57/247.88 (define @t337 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 247.57/247.88 (define @t338 () (or @t46 @t212 @t335)) % 247.57/247.88 (define @t339 () (tptp.netstr_restr_to_element @t2 @t1 @t337)) % 247.57/247.88 (define @t340 () (= @t336 @t339)) % 247.57/247.88 (define @t341 () (tptp.the_carrier @t336)) % 247.57/247.88 (define @t342 () (and (forall @t31 (= (and @t30 (tptp.related @t1 @t337 @t24)) (tptp.in @t24 @t341))) (= (tptp.the_InternalRel @t336) (tptp.relation_restriction_as_relation_of @t4 @t341)) (= (tptp.the_mapping @t2 @t336) (tptp.partfun_dom_restriction @t5 @t52 @t3 @t341)))) % 247.57/247.88 (define @t343 () (not (tptp.net_str @t336 @t2))) % 247.57/247.88 (define @t344 () (not (tptp.strict_net_str @t336 @t2))) % 247.57/247.88 (define @t345 () (not (tptp.element @t337 @t5))) % 247.57/247.88 (define @t346 () (@list @t1 @t337 @t336)) % 247.57/247.88 (define @t347 () (forall @t346 (or @t41 @t238 @t345 @t344 @t343 (= @t342 @t340)))) % 247.57/247.88 (define @t348 () (or @t46 @t212 @t347)) % 247.57/247.88 (define @t349 () (= (= @t339 @t336) @t342)) % 247.57/247.88 (define @t350 () (or @t41 @t238 @t345 @t344 @t343 @t349)) % 247.57/247.88 (define @t351 () (or @t345 @t344 @t343 @t349)) % 247.57/247.88 (define @t352 () (or @t41 @t238 @t351)) % 247.57/247.88 (define @t353 () (forall @t346 @t352)) % 247.57/247.88 (define @t354 () (@list @t337 @t336)) % 247.57/247.88 (define @t355 () (forall @t354 @t352)) % 247.57/247.88 (define @t356 () (forall @t354 @t351)) % 247.57/247.88 (define @t357 () (@var "BOUND_VARIABLE_8157" $$unsorted)) % 247.57/247.88 (define @t358 () (or @t41 @t238 @t356)) % 247.57/247.88 (define @t359 () (tptp.the_carrier @t357)) % 247.57/247.88 (define @t360 () (= (tptp.the_mapping @t2 @t357) (tptp.partfun_dom_restriction @t5 @t52 @t3 @t359))) % 247.57/247.88 (define @t361 () (= (tptp.the_InternalRel @t357) (tptp.relation_restriction_as_relation_of @t4 @t359))) % 247.57/247.88 (define @t362 () (tptp.in @t24 @t359)) % 247.57/247.88 (define @t363 () (tptp.related @t1 @t16 @t24)) % 247.57/247.88 (define @t364 () (and @t30 @t363)) % 247.57/247.88 (define @t365 () (not (tptp.net_str @t357 @t2))) % 247.57/247.88 (define @t366 () (not (tptp.strict_net_str @t357 @t2))) % 247.57/247.88 (define @t367 () (not @t89)) % 247.57/247.88 (define @t368 () (@list @t16 @t357)) % 247.57/247.88 (define @t369 () (forall @t368 (or @t367 @t366 @t365 (= (= @t81 @t357) (and (forall @t31 (= @t364 @t362)) @t361 @t360))))) % 247.57/247.88 (define @t370 () (or @t41 @t238 @t369)) % 247.57/247.88 (define @t371 () (or @t41 @t238)) % 247.57/247.88 (define @t372 () (or @t256 @t238)) % 247.57/247.88 (define @t373 () (not @t43)) % 247.57/247.88 (define @t374 () (forall @t31 (= @t362 @t364))) % 247.57/247.88 (define @t375 () (and @t374 @t361 @t360)) % 247.57/247.88 (define @t376 () (= (= @t357 @t81) @t375)) % 247.57/247.88 (define @t377 () (or @t367 @t366 @t365 @t376)) % 247.57/247.88 (define @t378 () (or @t366 @t365 @t376)) % 247.57/247.88 (define @t379 () (or @t367 @t378)) % 247.57/247.88 (define @t380 () (forall @t368 @t379)) % 247.57/247.88 (define @t381 () (@list @t357)) % 247.57/247.88 (define @t382 () (forall @t381 @t379)) % 247.57/247.88 (define @t383 () (forall @t381 @t378)) % 247.57/247.88 (define @t384 () (@list @t27)) % 247.57/247.88 (define @t385 () (or @t367 @t383)) % 247.57/247.88 (define @t386 () (= @t82 (and (forall @t31 (= @t77 @t364)) @t69 @t68))) % 247.57/247.88 (define @t387 () (not @t84)) % 247.57/247.88 (define @t388 () (not @t85)) % 247.57/247.88 (define @t389 () (or @t388 @t387 @t386)) % 247.57/247.88 (define @t390 () (forall @t35 @t389)) % 247.57/247.88 (define @t391 () (not @t363)) % 247.57/247.88 (define @t392 () (not @t30)) % 247.57/247.88 (define @t393 () (or @t392 @t391)) % 247.57/247.88 (define @t394 () (= @t77 (not @t393))) % 247.57/247.88 (define @t395 () (not (= @t24 @t24))) % 247.57/247.88 (define @t396 () (or @t392 @t395 @t391)) % 247.57/247.88 (define @t397 () (not @t71)) % 247.57/247.88 (define @t398 () (= @t24 @t70)) % 247.57/247.88 (define @t399 () (not @t398)) % 247.57/247.88 (define @t400 () (not @t73)) % 247.57/247.88 (define @t401 () (or @t399 @t400 @t399 @t397)) % 247.57/247.88 (define @t402 () (or @t400 @t399 @t397)) % 247.57/247.88 (define @t403 () (and @t73 @t398 @t71)) % 247.57/247.88 (define @t404 () (forall @t75 (not @t403))) % 247.57/247.88 (define @t405 () (not @t404)) % 247.57/247.88 (define @t406 () (forall @t31 (= (and @t297 @t296) (tptp.in @t24 @t303)))) % 247.57/247.88 (define @t407 () (and @t406 (= (tptp.the_InternalRel @t292) (tptp.relation_restriction_as_relation_of (tptp.the_InternalRel @t262) @t303)) (= @t293 (tptp.partfun_dom_restriction @t288 @t276 (tptp.the_mapping @t227 @t262) @t303)))) % 247.57/247.88 (define @t408 () (= @t407 (= @t292 @t292))) % 247.57/247.88 (define @t409 () (tptp.net_str @t292 @t227)) % 247.57/247.88 (define @t410 () (not @t409)) % 247.57/247.88 (define @t411 () (tptp.strict_net_str @t292 @t227)) % 247.57/247.88 (define @t412 () (not @t411)) % 247.57/247.88 (define @t413 () (tptp.element @t291 @t288)) % 247.57/247.88 (define @t414 () (not @t413)) % 247.57/247.88 (define @t415 () (or @t272 @t271 @t270 @t267 @t414 @t412 @t410 @t408)) % 247.57/247.88 (define @t416 () (forall @t331 @t328)) % 247.57/247.88 (define @t417 () (or @t272 @t271 @t270 @t267 @t414 @t412 @t410 @t407)) % 247.57/247.88 (define @t418 () (or @t214 @t212 @t256 @t238 @t367)) % 247.57/247.88 (define @t419 () (or @t238 @t367)) % 247.57/247.88 (define @t420 () (not (and @t7 @t89))) % 247.57/247.88 (define @t421 () (@list @t227 @t262 @t291)) % 247.57/247.88 (define @t422 () (@var "BOUND_VARIABLE_8081" $$unsorted)) % 247.57/247.88 (define @t423 () (tptp.netstr_restr_to_element @t2 @t422 @t27)) % 247.57/247.88 (define @t424 () (tptp.relation_rng_as_subset (tptp.the_carrier @t423) @t52 (tptp.the_mapping @t2 @t423))) % 247.57/247.88 (define @t425 () (@var "BOUND_VARIABLE_8083" $$unsorted)) % 247.57/247.88 (define @t426 () (not (= @t424 @t425))) % 247.57/247.88 (define @t427 () (not (tptp.element @t27 (tptp.the_carrier @t422)))) % 247.57/247.88 (define @t428 () (or @t427 @t426)) % 247.57/247.88 (define @t429 () (forall @t35 @t428)) % 247.57/247.88 (define @t430 () (not @t429)) % 247.57/247.88 (define @t431 () (tptp.netstr_induced_subset @t425 @t2 @t422)) % 247.57/247.88 (define @t432 () (= @t431 @t430)) % 247.57/247.88 (define @t433 () (not (tptp.element @t425 @t59))) % 247.57/247.88 (define @t434 () (not (tptp.net_str @t422 @t2))) % 247.57/247.88 (define @t435 () (tptp.empty_carrier @t422)) % 247.57/247.88 (define @t436 () (or @t46 @t212 @t435 @t434 @t433 @t432)) % 247.57/247.88 (define @t437 () (or @t435 @t434 @t433 @t432)) % 247.57/247.88 (define @t438 () (or @t46 @t212 @t437)) % 247.57/247.88 (define @t439 () (forall (@list @t2 @t422 @t425) @t438)) % 247.57/247.88 (define @t440 () (@list @t422 @t425)) % 247.57/247.88 (define @t441 () (forall @t440 @t438)) % 247.57/247.88 (define @t442 () (forall @t440 @t437)) % 247.57/247.88 (define @t443 () (@var "BOUND_VARIABLE_8053" $$unsorted)) % 247.57/247.88 (define @t444 () (or @t46 @t212 @t442)) % 247.57/247.88 (define @t445 () (not @t33)) % 247.57/247.88 (define @t446 () (tptp.netstr_induced_subset @t443 @t2 @t1)) % 247.57/247.88 (define @t447 () (not (tptp.element @t443 @t59))) % 247.57/247.88 (define @t448 () (@list @t1 @t443)) % 247.57/247.88 (define @t449 () (forall @t448 (or @t41 @t238 @t447 (= @t446 (not (forall @t35 (or @t445 (not (= @t53 @t443))))))))) % 247.57/247.88 (define @t450 () (or @t46 @t212 @t449)) % 247.57/247.88 (define @t451 () (not (= @t443 @t53))) % 247.57/247.88 (define @t452 () (or @t445 @t451)) % 247.57/247.88 (define @t453 () (forall @t35 @t452)) % 247.57/247.88 (define @t454 () (not @t453)) % 247.57/247.88 (define @t455 () (= @t446 @t454)) % 247.57/247.88 (define @t456 () (or @t41 @t238 @t447 @t455)) % 247.57/247.88 (define @t457 () (or @t447 @t455)) % 247.57/247.88 (define @t458 () (or @t41 @t238 @t457)) % 247.57/247.88 (define @t459 () (forall @t448 @t458)) % 247.57/247.88 (define @t460 () (@list @t443)) % 247.57/247.88 (define @t461 () (forall @t460 @t458)) % 247.57/247.88 (define @t462 () (forall @t460 @t457)) % 247.57/247.88 (define @t463 () (or @t41 @t238 @t462)) % 247.57/247.88 (define @t464 () (= @t57 (not (forall @t35 (or @t445 (not @t54)))))) % 247.57/247.88 (define @t465 () (forall @t39 (or (not @t60) @t464))) % 247.57/247.88 (define @t466 () (or @t41 @t238 @t465)) % 247.57/247.88 (define @t467 () (forall @t35 (not @t55))) % 247.57/247.88 (define @t468 () (not @t467)) % 247.57/247.88 (define @t469 () (@list @t227 @t262 @t261)) % 247.57/247.88 (define @t470 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 247.57/247.88 (define @t471 () (tptp.element @t470 @t59)) % 247.57/247.88 (define @t472 () (not (tptp.netstr_induced_subset @t470 @t2 @t1))) % 247.57/247.88 (define @t473 () (or @t472 @t471)) % 247.57/247.88 (define @t474 () (or @t46 @t212 @t41 @t238 @t473)) % 247.57/247.88 (define @t475 () (forall (@list @t2 @t1 @t470) @t474)) % 247.57/247.88 (define @t476 () (@list @t470)) % 247.57/247.88 (define @t477 () (forall @t476 @t474)) % 247.57/247.88 (define @t478 () (forall @t476 @t473)) % 247.57/247.88 (define @t479 () (or @t46 @t212 @t41 @t238 @t478)) % 247.57/247.88 (define @t480 () (forall @t39 (or @t253 @t60))) % 247.57/247.88 (define @t481 () (or @t46 @t212 @t41 @t238 @t480)) % 247.57/247.88 (define @t482 () (or @t214 @t212 @t256 @t238)) % 247.57/247.88 (define @t483 () (tptp.element @t261 (tptp.powerset @t276))) % 247.57/247.88 (define @t484 () (or @t272 @t271 @t270 @t267 @t265 @t483)) % 247.57/247.88 (define @t485 () (@list true false true false false false)) % 247.57/247.88 (define @t486 () (not @t290)) % 247.57/247.88 (define @t487 () (= @t264 @t486)) % 247.57/247.88 (define @t488 () (not @t483)) % 247.57/247.88 (define @t489 () (or @t272 @t271 @t270 @t267 @t488 @t487)) % 247.57/247.88 (define @t490 () (@list false false)) % 247.57/247.88 (define @t491 () (tptp.relation_rng_as_subset @t303 @t276 @t293)) % 247.57/247.88 (define @t492 () (= @t261 @t491)) % 247.57/247.88 (define @t493 () (not @t492)) % 247.57/247.88 (define @t494 () (or @t414 @t493)) % 247.57/247.88 (define @t495 () (@list @t494)) % 247.57/247.88 (define @t496 () (and @t411 @t409)) % 247.57/247.88 (define @t497 () (or @t272 @t271 @t270 @t267 @t414 @t496)) % 247.57/247.88 (define @t498 () (not @t496)) % 247.57/247.88 (define @t499 () (@list @t496)) % 247.57/247.88 (define @t500 () (@var "BOUND_VARIABLE_8007" $$unsorted)) % 247.57/247.88 (define @t501 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 247.57/247.88 (define @t502 () (tptp.the_carrier @t501)) % 247.57/247.88 (define @t503 () (= (tptp.is_eventually_in @t2 @t501 @t500) (not (forall @t35 (or (not (tptp.element @t27 @t502)) (not (forall @t31 (or (not (tptp.element @t24 @t502)) (not (tptp.related @t501 @t27 @t24)) (tptp.in (tptp.apply_netmap @t2 @t501 @t24) @t500))))))))) % 247.57/247.88 (define @t504 () (not (tptp.net_str @t501 @t2))) % 247.57/247.88 (define @t505 () (tptp.empty_carrier @t501)) % 247.57/247.88 (define @t506 () (or @t505 @t504 @t503)) % 247.57/247.88 (define @t507 () (or @t46 @t212 @t506)) % 247.57/247.88 (define @t508 () (forall (@list @t2 @t501 @t500) @t507)) % 247.57/247.88 (define @t509 () (@list @t501 @t500)) % 247.57/247.88 (define @t510 () (forall @t509 @t507)) % 247.57/247.88 (define @t511 () (forall @t509 @t506)) % 247.57/247.88 (define @t512 () (@var "BOUND_VARIABLE_7985" $$unsorted)) % 247.57/247.88 (define @t513 () (or @t46 @t212 @t511)) % 247.57/247.88 (define @t514 () (not @t28)) % 247.57/247.88 (define @t515 () (= (tptp.is_eventually_in @t2 @t1 @t512) (not (forall @t35 (or @t445 (not (forall @t31 (or @t392 @t514 (tptp.in @t25 @t512))))))))) % 247.57/247.88 (define @t516 () (or @t41 @t238 @t515)) % 247.57/247.88 (define @t517 () (forall (@list @t1 @t512) @t516)) % 247.57/247.88 (define @t518 () (or @t46 @t212 @t517)) % 247.57/247.88 (define @t519 () (@list @t512)) % 247.57/247.88 (define @t520 () (forall @t519 @t516)) % 247.57/247.88 (define @t521 () (forall @t519 @t515)) % 247.57/247.88 (define @t522 () (or @t41 @t238 @t521)) % 247.57/247.88 (define @t523 () (or @t392 @t514 @t26)) % 247.57/247.88 (define @t524 () (forall @t31 @t523)) % 247.57/247.88 (define @t525 () (forall @t39 (= @t37 (not (forall @t35 (or @t445 (not @t524))))))) % 247.57/247.88 (define @t526 () (or @t41 @t238 @t525)) % 247.57/247.88 (define @t527 () (and @t33 @t524)) % 247.57/247.88 (define @t528 () (forall @t35 (not @t527))) % 247.57/247.88 (define @t529 () (not @t528)) % 247.57/247.88 (define @t530 () (forall @t35 (or @t289 (not (forall @t31 (or @t298 (not (tptp.related @t262 @t27 @t24)) @t295)))))) % 247.57/247.88 (define @t531 () (not @t530)) % 247.57/247.88 (define @t532 () (= @t263 @t531)) % 247.57/247.88 (define @t533 () (or @t272 @t271 @t270 @t267 @t532)) % 247.57/247.88 (define @t534 () (not @t532)) % 247.57/247.88 (define @t535 () (not @t299)) % 247.57/247.88 (define @t536 () (or @t414 @t535)) % 247.57/247.88 (define @t537 () (tptp.related @t262 @t291 @t300)) % 247.57/247.88 (define @t538 () (tptp.apply_netmap @t227 @t262 @t300)) % 247.57/247.88 (define @t539 () (tptp.in @t538 @t261)) % 247.57/247.88 (define @t540 () (not @t537)) % 247.57/247.88 (define @t541 () (tptp.element @t300 @t288)) % 247.57/247.88 (define @t542 () (not @t541)) % 247.57/247.88 (define @t543 () (or @t542 @t540 @t539)) % 247.57/247.88 (define @t544 () (@list @t543)) % 247.57/247.88 (define @t545 () (and @t541 @t537)) % 247.57/247.88 (define @t546 () (= @t545 @t304)) % 247.57/247.88 (define @t547 () (tptp.element @t300 @t303)) % 247.57/247.88 (define @t548 () (or @t305 @t547)) % 247.57/247.88 (define @t549 () (@var "BOUND_VARIABLE_8778" $$unsorted)) % 247.57/247.88 (define @t550 () (@var "BOUND_VARIABLE_8776" $$unsorted)) % 247.57/247.88 (define @t551 () (@var "BOUND_VARIABLE_8774" $$unsorted)) % 247.57/247.88 (define @t552 () (tptp.netstr_restr_to_element @t2 @t551 @t550)) % 247.57/247.88 (define @t553 () (= (tptp.apply_netmap @t2 @t551 @t549) (tptp.apply_netmap @t2 @t552 @t549))) % 247.57/247.88 (define @t554 () (not (tptp.element @t549 (tptp.the_carrier @t552)))) % 247.57/247.88 (define @t555 () (tptp.the_carrier @t551)) % 247.57/247.88 (define @t556 () (not (tptp.element @t549 @t555))) % 247.57/247.88 (define @t557 () (not (tptp.element @t550 @t555))) % 247.57/247.88 (define @t558 () (not (tptp.net_str @t551 @t2))) % 247.57/247.88 (define @t559 () (not (tptp.directed_relstr @t551))) % 247.57/247.88 (define @t560 () (tptp.empty_carrier @t551)) % 247.57/247.88 (define @t561 () (or @t560 @t559 @t558 @t557 @t556 @t554 @t553)) % 247.57/247.88 (define @t562 () (or @t46 @t212 @t561)) % 247.57/247.88 (define @t563 () (forall (@list @t2 @t551 @t550 @t549) @t562)) % 247.57/247.88 (define @t564 () (@list @t551 @t550 @t549)) % 247.57/247.88 (define @t565 () (forall @t564 @t562)) % 247.57/247.88 (define @t566 () (forall @t564 @t561)) % 247.57/247.88 (define @t567 () (@var "BOUND_VARIABLE_8751" $$unsorted)) % 247.57/247.88 (define @t568 () (@var "BOUND_VARIABLE_8749" $$unsorted)) % 247.57/247.88 (define @t569 () (or @t46 @t212 @t566)) % 247.57/247.88 (define @t570 () (tptp.netstr_restr_to_element @t2 @t1 @t568)) % 247.57/247.88 (define @t571 () (= (tptp.apply_netmap @t2 @t1 @t567) (tptp.apply_netmap @t2 @t570 @t567))) % 247.57/247.88 (define @t572 () (not (tptp.element @t567 (tptp.the_carrier @t570)))) % 247.57/247.88 (define @t573 () (not (tptp.element @t567 @t5))) % 247.57/247.88 (define @t574 () (not (tptp.element @t568 @t5))) % 247.57/247.88 (define @t575 () (or @t41 @t239 @t238 @t574 @t573 @t572 @t571)) % 247.57/247.88 (define @t576 () (@list @t1 @t568 @t567)) % 247.57/247.88 (define @t577 () (forall @t576 @t575)) % 247.57/247.88 (define @t578 () (or @t46 @t212 @t577)) % 247.57/247.88 (define @t579 () (or @t574 @t573 @t572 @t571)) % 247.57/247.88 (define @t580 () (or @t41 @t239 @t238 @t579)) % 247.57/247.88 (define @t581 () (forall @t576 @t580)) % 247.57/247.88 (define @t582 () (@list @t568 @t567)) % 247.57/247.88 (define @t583 () (forall @t582 @t580)) % 247.57/247.88 (define @t584 () (forall @t582 @t579)) % 247.57/247.88 (define @t585 () (@var "BOUND_VARIABLE_8728" $$unsorted)) % 247.57/247.88 (define @t586 () (or @t41 @t239 @t238 @t584)) % 247.57/247.88 (define @t587 () (= (tptp.apply_netmap @t2 @t1 @t585) (tptp.apply_netmap @t2 @t81 @t585))) % 247.57/247.88 (define @t588 () (not (tptp.element @t585 @t181))) % 247.57/247.88 (define @t589 () (not (tptp.element @t585 @t5))) % 247.57/247.88 (define @t590 () (or @t367 @t589 @t588 @t587)) % 247.57/247.88 (define @t591 () (@list @t16 @t585)) % 247.57/247.88 (define @t592 () (forall @t591 @t590)) % 247.57/247.88 (define @t593 () (or @t41 @t239 @t238 @t592)) % 247.57/247.88 (define @t594 () (or @t256 @t239 @t238)) % 247.57/247.88 (define @t595 () (or @t589 @t588 @t587)) % 247.57/247.88 (define @t596 () (or @t367 @t595)) % 247.57/247.88 (define @t597 () (forall @t591 @t596)) % 247.57/247.88 (define @t598 () (@list @t585)) % 247.57/247.88 (define @t599 () (forall @t598 @t596)) % 247.57/247.88 (define @t600 () (forall @t598 @t595)) % 247.57/247.88 (define @t601 () (or @t367 @t600)) % 247.57/247.88 (define @t602 () (= @t177 (tptp.apply_netmap @t2 @t81 @t27))) % 247.57/247.88 (define @t603 () (not (tptp.element @t27 @t181))) % 247.57/247.88 (define @t604 () (or @t445 @t603 @t602)) % 247.57/247.88 (define @t605 () (forall @t35 @t604)) % 247.57/247.88 (define @t606 () (or @t603 @t602)) % 247.57/247.88 (define @t607 () (not (= @t27 @t27))) % 247.57/247.88 (define @t608 () (or @t603 @t607 @t602)) % 247.57/247.88 (define @t609 () (not @t179)) % 247.57/247.88 (define @t610 () (not @t182)) % 247.57/247.88 (define @t611 () (or @t609 @t610 @t609 @t178)) % 247.57/247.88 (define @t612 () (or @t610 @t609 @t178)) % 247.57/247.88 (define @t613 () (tptp.apply_netmap @t227 @t292 @t300)) % 247.57/247.88 (define @t614 () (= @t538 @t613)) % 247.57/247.88 (define @t615 () (not @t547)) % 247.57/247.88 (define @t616 () (or @t272 @t271 @t270 @t269 @t267 @t414 @t542 @t615 @t614)) % 247.57/247.88 (define @t617 () (or @t214 @t212 @t256 @t239 @t238 @t367)) % 247.57/247.88 (define @t618 () (tptp.empty_carrier @t292)) % 247.57/247.88 (define @t619 () (not @t618)) % 247.57/247.88 (define @t620 () (and @t619 @t411)) % 247.57/247.88 (define @t621 () (or @t272 @t271 @t270 @t269 @t267 @t414 @t620)) % 247.57/247.88 (define @t622 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 247.57/247.88 (define @t623 () (@var "BOUND_VARIABLE_8297" $$unsorted)) % 247.57/247.88 (define @t624 () (= (tptp.apply_netmap @t2 @t623 @t622) (tptp.apply_on_structs @t623 @t2 (tptp.the_mapping @t2 @t623) @t622))) % 247.57/247.88 (define @t625 () (not (tptp.element @t622 (tptp.the_carrier @t623)))) % 247.57/247.88 (define @t626 () (not (tptp.net_str @t623 @t2))) % 247.57/247.88 (define @t627 () (tptp.empty_carrier @t623)) % 247.57/247.88 (define @t628 () (or @t627 @t626 @t625 @t624)) % 247.57/247.88 (define @t629 () (or @t46 @t212 @t628)) % 247.57/247.88 (define @t630 () (forall (@list @t2 @t623 @t622) @t629)) % 247.57/247.88 (define @t631 () (@list @t623 @t622)) % 247.57/247.88 (define @t632 () (forall @t631 @t629)) % 247.57/247.88 (define @t633 () (forall @t631 @t628)) % 247.57/247.88 (define @t634 () (@var "BOUND_VARIABLE_8280" $$unsorted)) % 247.57/247.88 (define @t635 () (or @t46 @t212 @t633)) % 247.57/247.88 (define @t636 () (= (tptp.apply_netmap @t2 @t1 @t634) (tptp.apply_on_structs @t1 @t2 @t3 @t634))) % 247.57/247.88 (define @t637 () (not (tptp.element @t634 @t5))) % 247.57/247.88 (define @t638 () (or @t41 @t238 @t637 @t636)) % 247.57/247.88 (define @t639 () (@list @t1 @t634)) % 247.57/247.88 (define @t640 () (forall @t639 @t638)) % 247.57/247.88 (define @t641 () (or @t46 @t212 @t640)) % 247.57/247.88 (define @t642 () (or @t637 @t636)) % 247.57/247.88 (define @t643 () (or @t41 @t238 @t642)) % 247.57/247.88 (define @t644 () (forall @t639 @t643)) % 247.57/247.88 (define @t645 () (@list @t634)) % 247.57/247.88 (define @t646 () (forall @t645 @t643)) % 247.57/247.88 (define @t647 () (forall @t645 @t642)) % 247.57/247.88 (define @t648 () (or @t41 @t238 @t647)) % 247.57/247.88 (define @t649 () (forall @t39 (or @t367 @t97))) % 247.57/247.88 (define @t650 () (or @t41 @t238 @t649)) % 247.57/247.88 (define @t651 () (tptp.apply_on_structs @t292 @t227 @t293 @t300)) % 247.57/247.88 (define @t652 () (= @t613 @t651)) % 247.57/247.88 (define @t653 () (or @t272 @t271 @t618 @t410 @t615 @t652)) % 247.57/247.88 (define @t654 () (@list @t227 @t292)) % 247.57/247.88 (define @t655 () (and @t310 @t308 @t306)) % 247.57/247.88 (define @t656 () (or @t271 @t410 @t655)) % 247.57/247.88 (define @t657 () (@list false false false)) % 247.57/247.88 (define @t658 () (not @t655)) % 247.57/247.88 (define @t659 () (@list @t655)) % 247.57/247.88 (define @t660 () (@var "BOUND_VARIABLE_8381" $$unsorted)) % 247.57/247.88 (define @t661 () (tptp.rel_str @t660)) % 247.57/247.88 (define @t662 () (not (tptp.net_str @t660 @t2))) % 247.57/247.88 (define @t663 () (or @t662 @t661)) % 247.57/247.88 (define @t664 () (or @t212 @t663)) % 247.57/247.88 (define @t665 () (forall (@list @t2 @t660) @t664)) % 247.57/247.88 (define @t666 () (@list @t660)) % 247.57/247.88 (define @t667 () (forall @t666 @t664)) % 247.57/247.88 (define @t668 () (forall @t666 @t663)) % 247.57/247.88 (define @t669 () (or @t212 @t668)) % 247.57/247.88 (define @t670 () (forall @t23 (or @t238 @t137))) % 247.57/247.88 (define @t671 () (tptp.rel_str @t292)) % 247.57/247.88 (define @t672 () (or @t271 @t410 @t671)) % 247.57/247.88 (define @t673 () (tptp.one_sorted_str @t292)) % 247.57/247.88 (define @t674 () (not @t671)) % 247.57/247.88 (define @t675 () (or @t674 @t673)) % 247.57/247.88 (define @t676 () (tptp.relation_of2 @t293 @t303 @t276)) % 247.57/247.88 (define @t677 () (forall @t19 (= @t120 @t145))) % 247.57/247.88 (define @t678 () (= @t676 @t306)) % 247.57/247.88 (define @t679 () (@list @t303 @t276 @t293)) % 247.57/247.88 (define @t680 () (= @t306 @t676)) % 247.57/247.88 (define @t681 () (not @t113)) % 247.57/247.88 (define @t682 () (not @t114)) % 247.57/247.88 (define @t683 () (not @t115)) % 247.57/247.88 (define @t684 () (not @t116)) % 247.57/247.88 (define @t685 () (not @t117)) % 247.57/247.88 (define @t686 () (or @t46 @t212 @t41 @t685 @t684 @t683 @t682 @t681 @t172)) % 247.57/247.88 (define @t687 () (or @t214 @t212 @t256 @t685 @t684 @t683 @t682 @t681)) % 247.57/247.88 (define @t688 () (not @t676)) % 247.57/247.88 (define @t689 () (not @t673)) % 247.57/247.88 (define @t690 () (or @t618 @t689 @t272 @t271 @t311 @t309 @t688 @t615 (= @t651 @t301))) % 247.57/247.88 (define @t691 () (forall @t110 @t686)) % 247.57/247.88 (define @t692 () (= @t301 @t651)) % 247.57/247.88 (define @t693 () (or @t618 @t689 @t272 @t271 @t311 @t309 @t688 @t615 @t692)) % 247.57/247.88 (define @t694 () (not @t539)) % 247.57/247.88 (define @t695 () (= @t491 @t294)) % 247.57/247.88 (define @t696 () (or @t688 @t695)) % 247.57/247.88 (define @t697 () (not @t692)) % 247.57/247.88 (define @t698 () (not @t652)) % 247.57/247.88 (define @t699 () (not @t302)) % 247.57/247.88 (define @t700 () (not @t614)) % 247.57/247.88 (define @t701 () (not @t695)) % 247.57/247.88 (define @t702 () (and @t694 @t614 @t652 @t692 @t492 @t695 @t302)) % 247.57/247.88 (define @t703 () (not @t314)) % 247.57/247.88 (define @t704 () (not @t156)) % 247.57/247.88 (define @t705 () (and @t156 @t314 @t278)) % 247.57/247.88 (assume @p1 (forall @t10 (=> @t9 (=> @t6 (= @t1 (tptp.net_str_of @t2 @t5 @t4 @t3)))))) % 247.57/247.88 (assume @p2 (forall @t10 (=> @t11 (not (tptp.in @t1 @t2))))) % 247.57/247.88 (assume @p3 (forall @t14 (=> @t13 @t12))) % 247.57/247.88 (assume @p4 (forall @t14 (=> @t13 @t15))) % 247.57/247.88 (assume @p5 (forall @t19 (=> @t18 (tptp.relation @t16)))) % 247.57/247.88 (assume @p6 (forall @t14 (=> @t12 (forall @t23 (=> @t22 @t20))))) % 247.57/247.88 (assume @p7 @t50) % 247.57/247.88 (assume @p8 @t66) % 247.57/247.88 (assume @p9 @t95) % 247.57/247.88 (assume @p10 @t102) % 247.57/247.88 (assume @p11 (forall @t110 (=> @t109 (and @t104 (tptp.net_str @t103 @t2))))) % 247.57/247.88 (assume @p12 true) % 247.57/247.88 (assume @p13 (forall @t10 (=> @t15 (tptp.relation_of2_as_subset @t111 @t1 @t1)))) % 247.57/247.88 (assume @p14 (forall @t110 (=> @t118 (tptp.element @t112 @t5)))) % 247.57/247.88 (assume @p15 (forall @t110 (=> @t121 (and (tptp.function @t119) (tptp.relation_of2_as_subset @t119 @t2 @t1))))) % 247.57/247.88 (assume @p16 (forall @t10 (=> @t15 (tptp.relation @t122)))) % 247.57/247.88 (assume @p17 (forall @t19 (=> @t123 (tptp.element @t96 @t52)))) % 247.57/247.88 (assume @p18 (forall @t19 (=> @t120 (tptp.element @t125 @t124)))) % 247.57/247.88 (assume @p19 @t128) % 247.57/247.88 (assume @p20 (forall @t19 (=> @t132 (and (tptp.strict_net_str @t129 @t2) (tptp.subnet @t129 @t2 @t1))))) % 247.57/247.88 (assume @p21 (forall @t10 (=> @t15 @t134))) % 247.57/247.88 (assume @p22 @t136) % 247.57/247.88 (assume @p23 @t140) % 247.57/247.88 (assume @p24 @t144) % 247.57/247.88 (assume @p25 (forall @t19 (=> @t145 @t18))) % 247.57/247.88 (assume @p26 (forall @t10 (=> @t150 (forall @t39 (=> @t149 (and @t148 @t147 @t146 (tptp.net_str @t16 @t2))))))) % 247.57/247.88 (assume @p27 (forall @t14 (=> @t135 (tptp.relation_of2_as_subset (tptp.the_InternalRel @t2) @t52 @t52)))) % 247.57/247.88 (assume @p28 @t154) % 247.57/247.88 (assume @p29 (exists @t14 @t135)) % 247.57/247.88 (assume @p30 (exists @t14 @t8)) % 247.57/247.88 (assume @p31 (forall @t14 (=> @t8 (exists @t23 @t7)))) % 247.57/247.88 (assume @p32 (forall @t10 (exists @t39 @t120))) % 247.57/247.88 (assume @p33 (forall @t14 (exists @t23 (tptp.element @t1 @t2)))) % 247.57/247.88 (assume @p34 (forall @t10 (=> @t142 (exists @t39 @t57)))) % 247.57/247.88 (assume @p35 (forall @t10 (exists @t39 @t145))) % 247.57/247.88 (assume @p36 (forall @t10 (=> @t150 (exists @t39 @t149)))) % 247.57/247.88 (assume @p37 (and @t156 @t155 (tptp.relation_empty_yielding tptp.empty_set))) % 247.57/247.88 (assume @p38 (forall @t10 (=> @t157 (and @t134 (tptp.relation_empty_yielding @t133))))) % 247.57/247.88 (assume @p39 (forall @t10 (=> (and @t12 @t20) (tptp.finite @t17)))) % 247.57/247.88 (assume @p40 (forall @t10 (=> @t142 (and (not (tptp.empty @t3)) (tptp.relation @t3) @t152 @t151)))) % 247.57/247.88 (assume @p41 @t159) % 247.57/247.88 (assume @p42 (forall @t14 (not (tptp.empty @t21)))) % 247.57/247.88 (assume @p43 @t163) % 247.57/247.88 (assume @p44 (forall @t19 (=> @t132 (and @t160 (tptp.transitive_relstr @t81) @t126 (tptp.directed_relstr @t81))))) % 247.57/247.88 (assume @p45 (and @t156 @t155)) % 247.57/247.88 (assume @p46 (forall @t10 (=> (and @t166 @t165) (not (tptp.empty @t17))))) % 247.57/247.88 (assume @p47 (forall @t14 (=> @t169 (not @t168)))) % 247.57/247.88 (assume @p48 (forall @t110 (=> (and @t8 @t165 @t108 @t107 @t106 @t105) (and (not (tptp.empty_carrier @t103)) @t104)))) % 247.57/247.88 (assume @p49 (forall @t14 (=> @t13 (and @t168 (tptp.relation @t167))))) % 247.57/247.88 (assume @p50 (forall @t110 (=> @t109 (forall (@list @t24 @t70 @t171 @t170) (=> (= @t103 (tptp.net_str_of @t24 @t70 @t171 @t170)) (and (= @t2 @t24) (= @t1 @t70) (= @t16 @t171) (= @t27 @t170))))))) % 247.57/247.88 (assume @p51 (exists @t14 (and @t166 @t12))) % 247.57/247.88 (assume @p52 (exists @t14 (and @t13 @t15))) % 247.57/247.88 (assume @p53 (forall @t14 (=> @t166 (exists @t23 (and @t22 @t165))))) % 247.57/247.88 (assume @p54 (forall @t10 (=> @t150 (exists @t39 (and @t149 @t148 @t147 (tptp.strict_net_str @t16 @t2) @t146))))) % 247.57/247.88 (assume @p55 (exists @t14 @t169)) % 247.57/247.88 (assume @p56 (forall @t14 (exists @t23 (and @t22 @t164)))) % 247.57/247.88 (assume @p57 (forall @t14 (exists @t23 (and (tptp.element @t1 (tptp.powerset @t21)) @t165 @t20)))) % 247.57/247.88 (assume @p58 (forall @t14 (=> @t166 (exists @t23 (and @t22 @t165 @t20))))) % 247.57/247.88 (assume @p59 (exists @t14 @t157)) % 247.57/247.88 (assume @p60 (exists @t14 (and @t8 @t47))) % 247.57/247.88 (assume @p61 (forall @t14 (=> @t8 (exists @t23 (and (tptp.element @t1 (tptp.powerset @t59)) @t165 @t20))))) % 247.57/247.88 (assume @p62 (forall @t14 (=> @t8 (exists @t23 (and @t7 @t6))))) % 247.57/247.88 (assume @p63 (forall @t14 (=> @t48 (exists @t23 (and (tptp.element @t1 @t59) @t165))))) % 247.57/247.88 (assume @p64 (forall @t10 (=> @t15 (= @t111 @t122)))) % 247.57/247.88 (assume @p65 @t173) % 247.57/247.88 (assume @p66 (forall @t110 (=> @t121 (= @t119 (tptp.relation_dom_restriction @t16 @t27))))) % 247.57/247.88 (assume @p67 @t175) % 247.57/247.88 (assume @p68 (forall @t19 (=> @t132 (= @t129 @t81)))) % 247.57/247.88 (assume @p69 @t176) % 247.57/247.88 (assume @p70 (forall @t10 (tptp.subset @t2 @t2))) % 247.57/247.88 (assume @p71 @t192) % 247.57/247.88 (assume @p72 @t194) % 247.57/247.88 (assume @p73 (forall @t10 (=> @t193 (or @t164 @t11)))) % 247.57/247.88 (assume @p74 (forall @t10 (= (tptp.element @t2 @t124) (tptp.subset @t2 @t1)))) % 247.57/247.88 (assume @p75 (forall @t19 (=> (and @t11 @t195) (tptp.element @t2 @t16)))) % 247.57/247.88 (assume @p76 (forall @t19 (not (and @t11 @t195 (tptp.empty @t16))))) % 247.57/247.88 (assume @p77 (forall @t14 (=> @t13 (= @t2 tptp.empty_set)))) % 247.57/247.88 (assume @p78 @t204) % 247.57/247.88 (assume @p79 (forall @t10 (not (and @t11 @t164)))) % 247.57/247.88 (assume @p80 (forall @t10 (not (and @t13 (not (= @t2 @t1)) @t164)))) % 247.57/247.88 (assume @p81 @t211) % 247.57/247.88 (step @p82 :rule and_elim :premises (@p37) :args (0)) % 247.57/247.88 (step @p83 :rule aci_norm :args ((= (or @t213 @t158) (or @t46 @t212 @t158)))) % 247.57/247.88 (step @p84 :rule refl :args (@t158)) % 247.57/247.88 (step @p85 :rule refl :args (@t212)) % 247.57/247.88 (step @p86 :rule bool-double-not-elim :args (@t46)) % 247.57/247.88 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t214 @t212))) % 247.57/247.88 (step @p88 :rule bool-and-de-morgan :args (@t47 @t8 true)) % 247.57/247.88 (step @p89 :rule trans :premises (@p88 @p87)) % 247.57/247.88 (step @p90 :rule nary_cong :premises (@p89 @p84) :args ((or @t215 @t158))) % 247.57/247.88 (step @p91 :rule trans :premises (@p90 @p83)) % 247.57/247.88 (step @p92 :rule bool-impl-elim :args (@t48 @t158)) % 247.57/247.88 (step @p93 :rule trans :premises (@p92 @p91)) % 247.57/247.88 (step @p94 :rule cong :premises (@p93) :args (@t159)) % 247.57/247.88 (step @p95 :rule eq_resolve :premises (@p41 @p94)) % 247.57/247.88 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t227))) % 247.57/247.88 (step @p97 :rule aci_norm :args ((= @t229 @t224))) % 247.57/247.88 (step @p98 :rule cong :premises (@p97) :args (@t230)) % 247.57/247.88 (step @p99 :rule quant-merge-prenex :args ((= (forall @t14 @t232) @t230))) % 247.57/247.88 (step @p100 :rule alpha_equiv :args (@t233 (@list @t217 @t216) (@list @t1 @t234))) % 247.57/247.88 (step @p101 :rule refl :args (@t46)) % 247.57/247.88 (step @p102 :rule nary_cong :premises (@p101 @p85 @p100) :args (@t235)) % 247.57/247.88 (step @p103 :rule quant-miniscope-or :args ((= @t232 @t235))) % 247.57/247.88 (step @p104 :rule trans :premises (@p103 @p102)) % 247.57/247.88 (step @p105 :rule symm :premises (@p104)) % 247.57/247.88 (step @p106 :rule cong :premises (@p105) :args ((forall @t14 @t244))) % 247.57/247.88 (step @p107 :rule trans :premises (@p106 @p99)) % 247.57/247.88 (step @p108 :rule trans :premises (@p107 @p98)) % 247.57/247.88 (step @p109 :rule aci_norm :args ((= (or @t213 @t243) @t244))) % 247.57/247.88 (step @p110 :rule refl :args (@t243)) % 247.57/247.88 (step @p111 :rule nary_cong :premises (@p89 @p110) :args ((or @t215 @t243))) % 247.57/247.88 (step @p112 :rule trans :premises (@p111 @p109)) % 247.57/247.88 (step @p113 :rule bool-impl-elim :args (@t48 @t243)) % 247.57/247.88 (step @p114 :rule trans :premises (@p113 @p112)) % 247.57/247.88 (step @p115 :rule cong :premises (@p114) :args ((forall @t14 (=> @t48 @t243)))) % 247.57/247.88 (step @p116 :rule trans :premises (@p115 @p108)) % 247.57/247.88 (step @p117 :rule aci_norm :args ((= @t246 @t241))) % 247.57/247.88 (step @p118 :rule cong :premises (@p117) :args (@t247)) % 247.57/247.88 (step @p119 :rule quant-merge-prenex :args ((= (forall @t23 @t249) @t247))) % 247.57/247.88 (step @p120 :rule alpha_equiv :args (@t250 (@list @t234) @t251)) % 247.57/247.88 (step @p121 :rule refl :args (@t238)) % 247.57/247.88 (step @p122 :rule refl :args (@t239)) % 247.57/247.88 (step @p123 :rule refl :args (@t240)) % 247.57/247.88 (step @p124 :rule refl :args (@t41)) % 247.57/247.88 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121 @p120) :args (@t252)) % 247.57/247.88 (step @p126 :rule quant-miniscope-or :args ((= @t249 @t252))) % 247.57/247.88 (step @p127 :rule trans :premises (@p126 @p125)) % 247.57/247.88 (step @p128 :rule symm :premises (@p127)) % 247.57/247.88 (step @p129 :rule cong :premises (@p128) :args ((forall @t23 @t255))) % 247.57/247.88 (step @p130 :rule trans :premises (@p129 @p119)) % 247.57/247.88 (step @p131 :rule trans :premises (@p130 @p118)) % 247.57/247.88 (step @p132 :rule aci_norm :args ((= (or (or @t41 @t240 @t239 @t238) @t254) @t255))) % 247.57/247.88 (step @p133 :rule refl :args (@t254)) % 247.57/247.88 (step @p134 :rule bool-double-not-elim :args (@t41)) % 247.57/247.88 (step @p135 :rule nary_cong :premises (@p134 @p123 @p122 @p121) :args (@t257)) % 247.57/247.88 (step @p136 :rule aci_norm :args ((= (or @t256 (or @t240 @t258)) @t257))) % 247.57/247.88 (step @p137 :rule trans :premises (@p136 @p135)) % 247.57/247.88 (step @p138 :rule bool-and-de-morgan :args (@t130 @t7 true)) % 247.57/247.88 (step @p139 :rule nary_cong :premises (@p123 @p138) :args ((or @t240 @t259))) % 247.57/247.88 (step @p140 :rule bool-and-de-morgan :args (@t131 @t130 (and @t7))) % 247.57/247.88 (step @p141 :rule trans :premises (@p140 @p139)) % 247.57/247.88 (step @p142 :rule refl :args (@t256)) % 247.57/247.88 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t256 (not (and @t131 @t130 @t7))))) % 247.57/247.88 (step @p144 :rule bool-and-de-morgan :args (@t42 @t131 (and @t130 @t7))) % 247.57/247.88 (step @p145 :rule trans :premises (@p144 @p143)) % 247.57/247.88 (step @p146 :rule trans :premises (@p145 @p137)) % 247.57/247.88 (step @p147 :rule nary_cong :premises (@p146 @p133) :args ((or (not @t206) @t254))) % 247.57/247.88 (step @p148 :rule trans :premises (@p147 @p132)) % 247.57/247.88 (step @p149 :rule bool-impl-elim :args (@t206 @t254)) % 247.57/247.88 (step @p150 :rule trans :premises (@p149 @p148)) % 247.57/247.88 (step @p151 :rule cong :premises (@p150) :args ((forall @t23 (=> @t206 @t254)))) % 247.57/247.88 (step @p152 :rule trans :premises (@p151 @p131)) % 247.57/247.88 (step @p153 :rule bool-impl-elim :args (@t57 @t37)) % 247.57/247.88 (step @p154 :rule cong :premises (@p153) :args (@t205)) % 247.57/247.88 (step @p155 :rule refl :args (@t206)) % 247.57/247.88 (step @p156 :rule cong :premises (@p155 @p154) :args (@t207)) % 247.57/247.88 (step @p157 :rule cong :premises (@p156) :args (@t208)) % 247.57/247.88 (step @p158 :rule trans :premises (@p157 @p152)) % 247.57/247.88 (step @p159 :rule refl :args (@t48)) % 247.57/247.88 (step @p160 :rule cong :premises (@p159 @p158) :args (@t209)) % 247.57/247.88 (step @p161 :rule cong :premises (@p160) :args (@t210)) % 247.57/247.88 (step @p162 :rule trans :premises (@p161 @p116)) % 247.57/247.88 (step @p163 :rule cong :premises (@p162) :args (@t211)) % 247.57/247.88 (step @p164 :rule eq_resolve :premises (@p81 @p163)) % 247.57/247.88 (step @p165 :rule skolemize :premises (@p164)) % 247.57/247.88 (step @p166 :rule bool-double-not-elim :args (@t260)) % 247.57/247.88 (step @p167 :rule refl :args (@t273)) % 247.57/247.88 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t273 (not @t271)))) % 247.57/247.88 (step @p169 :rule cnf_or_neg :args (@t273 1)) % 247.57/247.88 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 247.57/247.88 (step @p171 :rule reordering :premises (@p170) :args ((or @t260 @t273))) % 247.57/247.88 (step @p172 :rule chain_m_resolution :premises (@p171 @p165) :args (@t260 @t274 @t275)) % 247.57/247.88 (step @p173 :rule cnf_or_neg :args (@t273 0)) % 247.57/247.88 (step @p174 :rule chain_m_resolution :premises (@p173 @p165) :args ((not @t272) @t274 @t275)) % 247.57/247.88 (step @p175 :rule cnf_or_pos :args (@t279)) % 247.57/247.88 (step @p176 :rule reordering :premises (@p175) :args ((or @t272 @t271 @t278 (not @t279)))) % 247.57/247.88 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p172 @p96) :args (@t278 (@list true false false) (@list @t272 @t260 @t279))) % 247.57/247.88 (step @p178 :rule aci_norm :args ((= (or @t286 @t285) @t284))) % 247.57/247.88 (step @p179 :rule aci_norm :args ((= (or @t280 @t198) @t285))) % 247.57/247.88 (step @p180 :rule bool-impl-elim :args (@t199 @t198)) % 247.57/247.88 (step @p181 :rule trans :premises (@p180 @p179)) % 247.57/247.88 (step @p182 :rule aci_norm :args ((= (or @t283 (or @t282 @t281)) @t286))) % 247.57/247.88 (step @p183 :rule bool-and-de-morgan :args (@t202 @t201 true)) % 247.57/247.88 (step @p184 :rule refl :args (@t283)) % 247.57/247.88 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t283 (not (and @t202 @t201))))) % 247.57/247.88 (step @p186 :rule bool-and-de-morgan :args (@t107 @t202 (and @t201))) % 247.57/247.88 (step @p187 :rule trans :premises (@p186 @p185)) % 247.57/247.88 (step @p188 :rule trans :premises (@p187 @p182)) % 247.57/247.88 (step @p189 :rule nary_cong :premises (@p188 @p181) :args ((or (not @t203) @t200))) % 247.57/247.88 (step @p190 :rule trans :premises (@p189 @p178)) % 247.57/247.88 (step @p191 :rule bool-impl-elim :args (@t203 @t200)) % 247.57/247.88 (step @p192 :rule trans :premises (@p191 @p190)) % 247.57/247.88 (step @p193 :rule cong :premises (@p192) :args (@t204)) % 247.57/247.88 (step @p194 :rule eq_resolve :premises (@p78 @p193)) % 247.57/247.88 (step @p195 :rule refl :args (@t302)) % 247.57/247.88 (step @p196 :rule eq-symm :args (@t276 tptp.empty_set)) % 247.57/247.88 (step @p197 :rule refl :args (@t305)) % 247.57/247.88 (step @p198 :rule refl :args (@t307)) % 247.57/247.88 (step @p199 :rule refl :args (@t309)) % 247.57/247.88 (step @p200 :rule refl :args (@t311)) % 247.57/247.88 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p197 @p196 @p195) :args (@t312)) % 247.57/247.88 (step @p202 :rule refl :args (@t313)) % 247.57/247.88 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t313 @t312))) % 247.57/247.88 (assume-push @p1118 @t313) % 247.57/247.88 (step @p205 :rule instantiate :premises (@p194) :args ((@list @t303 @t276 @t300 @t293))) % 247.57/247.88 (step-pop @p1119 :rule scope :premises (@p205)) % 247.57/247.88 (step @p206 :rule process_scope :premises (@p1119) :args (@t312)) % 247.57/247.88 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 247.57/247.88 (step @p209 :rule implies_elim :premises (@p208)) % 247.57/247.88 (step @p210 :rule chain_m_resolution :premises (@p209 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@p174 @p886 @p884 @p836 @p577 @p172 @p174 @p805 @p803 @p678 @p568 @p549 @p697 @p551 @p172 @p174) :args ((or @t615 @t699) (@list false true false false false false false false false true false true false false true false false true false false false false false false true false true) (@list @t695 @t539 @t492 @t692 @t693 @t676 @t673 @t308 @t310 @t618 @t260 @t272 @t652 @t653 @t618 @t409 @t260 @t272 @t614 @t616 @t541 @t413 @t266 @t268 @t270 @t260 @t272))) % 247.57/247.89 (step @p1082 :rule chain_m_resolution :premises (@p1081 @p691) :args (@t699 @t316 (@list @t547))) % 247.57/247.89 (step @p1083 :rule cnf_or_pos :args (@t315)) % 247.57/247.89 (step @p1084 :rule reordering :premises (@p1083) :args ((or @t311 @t309 @t307 @t314 @t302 @t305 (not @t315)))) % 247.57/247.89 (step @p1085 :rule chain_m_resolution :premises (@p1084 @p902 @p905 @p953 @p1082 @p684 @p210) :args (@t314 (@list false false false true false false) (@list @t310 @t308 @t306 @t302 @t304 @t315))) % 247.57/247.89 (step @p1086 :rule refl :args (@t703)) % 247.57/247.89 (step @p1087 :rule bool-double-not-elim :args (@t277)) % 247.57/247.89 (step @p1088 :rule refl :args (@t704)) % 247.57/247.89 (step @p1089 :rule nary_cong :premises (@p1088 @p1087 @p1086) :args ((or @t704 (not @t278) @t703))) % 247.57/247.89 (assume-push @p1154 @t156) % 247.57/247.89 (assume-push @p1155 @t314) % 247.57/247.89 (assume-push @p1156 @t278) % 247.57/247.89 (step @p1093 :rule evaluate :args ((= false true))) % 247.57/247.89 (step @p1094 :rule true_intro :premises (@p82)) % 247.57/247.89 (step @p1095 :rule symm :premises (@p1155)) % 247.57/247.89 (step @p1096 :rule cong :premises (@p1095) :args (@t277)) % 247.57/247.89 (step @p1097 :rule false_intro :premises (@p177)) % 247.57/247.89 (step @p1098 :rule symm :premises (@p1097)) % 247.57/247.89 (step @p1099 :rule trans :premises (@p1098 @p1096 @p1094)) % 247.57/247.89 (step @p1100 false :rule eq_resolve :premises (@p1099 @p1093)) % 247.57/247.89 (step-pop @p1157 :rule scope :premises (@p1100)) % 247.57/247.89 (step-pop @p1158 :rule scope :premises (@p1157)) % 247.57/247.89 (step-pop @p1159 :rule scope :premises (@p1158)) % 247.57/247.89 (step @p1101 :rule process_scope :premises (@p1159) :args (false)) % 247.57/247.89 (assume-push @p1160 @t156) % 247.57/247.89 (assume-push @p1161 @t278) % 247.57/247.89 (assume-push @p1162 @t314) % 247.57/247.89 (step @p1108 :rule and_intro :premises (@p82 @p1162 @p177)) % 247.57/247.89 (step-pop @p1163 :rule scope :premises (@p1108)) % 247.57/247.89 (step-pop @p1164 :rule scope :premises (@p1163)) % 247.57/247.89 (step-pop @p1165 :rule scope :premises (@p1164)) % 247.57/247.89 (step @p1109 :rule process_scope :premises (@p1165) :args (@t705)) % 247.57/247.89 (step @p1113 :rule implies_elim :premises (@p1109)) % 247.57/247.89 (step @p1114 :rule resolution :premises (@p1113 @p1101) :args (true @t705)) % 247.57/247.89 (step @p1115 :rule not_and :premises (@p1114)) % 247.57/247.89 (step @p1116 :rule eq_resolve :premises (@p1115 @p1089)) % 247.57/247.89 (step @p1117 false :rule chain_m_resolution :premises (@p1116 @p1085 @p177 @p82) :args (false (@list false true false) (@list @t314 @t277 @t156))) % 247.57/247.89 ) % 247.57/247.89 % SZS output end Proof % 247.57/247.90 % cvc5 exiting %------------------------------------------------------------------------------