%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU369+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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:32 AM UTC 2026 % Result : Theorem 35.20s 35.45s % Output : Proof 35.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU369+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n006.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 17:02:19 EDT 2026 % 0.18/0.36 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 35.20/35.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.20/35.45 --- Run --no-e-matching --full-saturate-quant at 6... % 35.20/35.45 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.20/35.45 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.20/35.45 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.20/35.45 % SZS status Theorem % 35.20/35.45 % SZS output start Proof % 35.20/35.45 ( % 35.20/35.45 (declare-sort $$unsorted 0) % 35.20/35.45 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.empty_set $$unsorted) % 35.20/35.45 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.relation (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.lattice (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.function (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 35.20/35.45 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.transitive (-> $$unsorted Bool)) % 35.20/35.45 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 35.20/35.45 (define @t1 () (@var "A" $$unsorted)) % 35.20/35.45 (define @t2 () (tptp.the_InternalRel @t1)) % 35.20/35.45 (define @t3 () (tptp.the_carrier @t1)) % 35.20/35.45 (define @t4 () (= @t1 (tptp.rel_str_of @t3 @t2))) % 35.20/35.45 (define @t5 () (tptp.strict_rel_str @t1)) % 35.20/35.45 (define @t6 () (=> @t5 @t4)) % 35.20/35.45 (define @t7 () (tptp.rel_str @t1)) % 35.20/35.45 (define @t8 () (@list @t1)) % 35.20/35.45 (define @t9 () (forall @t8 (=> @t7 @t6))) % 35.20/35.45 (define @t10 () (tptp.the_L_meet @t1)) % 35.20/35.45 (define @t11 () (tptp.the_L_join @t1)) % 35.20/35.45 (define @t12 () (tptp.strict_latt_str @t1)) % 35.20/35.45 (define @t13 () (tptp.latt_str @t1)) % 35.20/35.45 (define @t14 () (@var "B" $$unsorted)) % 35.20/35.45 (define @t15 () (tptp.in @t1 @t14)) % 35.20/35.45 (define @t16 () (@list @t1 @t14)) % 35.20/35.45 (define @t17 () (tptp.bounded_lattstr @t1)) % 35.20/35.45 (define @t18 () (tptp.upper_bounded_semilattstr @t1)) % 35.20/35.45 (define @t19 () (tptp.lower_bounded_semilattstr @t1)) % 35.20/35.45 (define @t20 () (tptp.lattice @t1)) % 35.20/35.45 (define @t21 () (tptp.join_absorbing @t1)) % 35.20/35.45 (define @t22 () (tptp.meet_absorbing @t1)) % 35.20/35.45 (define @t23 () (tptp.meet_associative @t1)) % 35.20/35.45 (define @t24 () (tptp.meet_commutative @t1)) % 35.20/35.45 (define @t25 () (tptp.join_associative @t1)) % 35.20/35.45 (define @t26 () (tptp.join_commutative @t1)) % 35.20/35.45 (define @t27 () (tptp.empty_carrier @t1)) % 35.20/35.45 (define @t28 () (not @t27)) % 35.20/35.45 (define @t29 () (tptp.complete_latt_str @t1)) % 35.20/35.45 (define @t30 () (tptp.with_suprema_relstr @t1)) % 35.20/35.45 (define @t31 () (and @t28 @t26 @t25 @t24 @t23 @t22 @t21)) % 35.20/35.45 (define @t32 () (and @t28 @t20)) % 35.20/35.45 (define @t33 () (@var "C" $$unsorted)) % 35.20/35.45 (define @t34 () (tptp.relation @t33)) % 35.20/35.45 (define @t35 () (tptp.cartesian_product2 @t1 @t14)) % 35.20/35.45 (define @t36 () (tptp.element @t33 (tptp.powerset @t35))) % 35.20/35.45 (define @t37 () (@list @t1 @t14 @t33)) % 35.20/35.45 (define @t38 () (tptp.with_infima_relstr @t1)) % 35.20/35.45 (define @t39 () (tptp.complete_relstr @t1)) % 35.20/35.45 (define @t40 () (and @t28 @t39)) % 35.20/35.45 (define @t41 () (tptp.antisymmetric_relstr @t1)) % 35.20/35.45 (define @t42 () (tptp.transitive_relstr @t1)) % 35.20/35.45 (define @t43 () (tptp.reflexive_relstr @t1)) % 35.20/35.45 (define @t44 () (tptp.trivial_carrier @t1)) % 35.20/35.45 (define @t45 () (and @t28 @t17)) % 35.20/35.45 (define @t46 () (and @t28 @t19 @t18)) % 35.20/35.45 (define @t47 () (tptp.bounded_relstr @t1)) % 35.20/35.45 (define @t48 () (tptp.upper_bounded_relstr @t1)) % 35.20/35.45 (define @t49 () (tptp.lower_bounded_relstr @t1)) % 35.20/35.45 (define @t50 () (and @t49 @t48)) % 35.20/35.45 (define @t51 () (tptp.complemented_lattstr @t1)) % 35.20/35.45 (define @t52 () (tptp.distributive_lattstr @t1)) % 35.20/35.45 (define @t53 () (tptp.boolean_lattstr @t1)) % 35.20/35.45 (define @t54 () (and @t28 @t53)) % 35.20/35.45 (define @t55 () (tptp.modular_lattstr @t1)) % 35.20/35.45 (define @t56 () (tptp.unordered_pair @t1 @t14)) % 35.20/35.45 (define @t57 () (tptp.k2_lattice3 @t1)) % 35.20/35.45 (define @t58 () (tptp.poset_of_lattice @t1)) % 35.20/35.45 (define @t59 () (= @t58 (tptp.rel_str_of @t3 @t57))) % 35.20/35.45 (define @t60 () (and @t28 @t20 @t13)) % 35.20/35.45 (define @t61 () (forall @t8 (=> @t60 @t59))) % 35.20/35.45 (define @t62 () (tptp.boole_lattice @t1)) % 35.20/35.45 (define @t63 () (tptp.boole_POSet @t1)) % 35.20/35.45 (define @t64 () (tptp.cast_to_el_of_LattPOSet @t1 @t14)) % 35.20/35.45 (define @t65 () (tptp.element @t14 @t3)) % 35.20/35.45 (define @t66 () (=> @t65 (= @t64 @t14))) % 35.20/35.45 (define @t67 () (@list @t14)) % 35.20/35.45 (define @t68 () (forall @t67 @t66)) % 35.20/35.45 (define @t69 () (=> @t60 @t68)) % 35.20/35.45 (define @t70 () (forall @t8 @t69)) % 35.20/35.45 (define @t71 () (tptp.singleton @t1)) % 35.20/35.45 (define @t72 () (tptp.related @t1 @t14 @t33)) % 35.20/35.45 (define @t73 () (tptp.element @t33 @t3)) % 35.20/35.45 (define @t74 () (@list @t33)) % 35.20/35.45 (define @t75 () (tptp.rel_str_of @t1 @t14)) % 35.20/35.45 (define @t76 () (tptp.strict_rel_str @t75)) % 35.20/35.45 (define @t77 () (tptp.relation_of2 @t14 @t1 @t1)) % 35.20/35.45 (define @t78 () (tptp.latt_str_of @t1 @t14 @t33)) % 35.20/35.45 (define @t79 () (tptp.strict_latt_str @t78)) % 35.20/35.45 (define @t80 () (tptp.cartesian_product2 @t1 @t1)) % 35.20/35.45 (define @t81 () (tptp.relation_of2 @t33 @t80 @t1)) % 35.20/35.45 (define @t82 () (tptp.quasi_total @t33 @t80 @t1)) % 35.20/35.45 (define @t83 () (tptp.function @t33)) % 35.20/35.45 (define @t84 () (tptp.relation_of2 @t14 @t80 @t1)) % 35.20/35.45 (define @t85 () (tptp.quasi_total @t14 @t80 @t1)) % 35.20/35.45 (define @t86 () (tptp.function @t14)) % 35.20/35.45 (define @t87 () (and @t86 @t85 @t84 @t83 @t82 @t81)) % 35.20/35.45 (define @t88 () (tptp.latt_str @t62)) % 35.20/35.45 (define @t89 () (tptp.strict_latt_str @t62)) % 35.20/35.45 (define @t90 () (forall @t8 (and @t89 @t88))) % 35.20/35.45 (define @t91 () (tptp.antisymmetric_relstr @t58)) % 35.20/35.45 (define @t92 () (tptp.transitive_relstr @t58)) % 35.20/35.45 (define @t93 () (tptp.reflexive_relstr @t58)) % 35.20/35.45 (define @t94 () (tptp.strict_rel_str @t58)) % 35.20/35.45 (define @t95 () (tptp.rel_str @t63)) % 35.20/35.45 (define @t96 () (tptp.strict_rel_str @t63)) % 35.20/35.45 (define @t97 () (forall @t8 (and @t96 @t95))) % 35.20/35.45 (define @t98 () (tptp.relation_of_lattice @t1)) % 35.20/35.45 (define @t99 () (tptp.one_sorted_str @t1)) % 35.20/35.45 (define @t100 () (tptp.meet_semilatt_str @t1)) % 35.20/35.45 (define @t101 () (tptp.join_semilatt_str @t1)) % 35.20/35.45 (define @t102 () (tptp.relation_of2_as_subset @t33 @t1 @t14)) % 35.20/35.45 (define @t103 () (tptp.cartesian_product2 @t3 @t3)) % 35.20/35.45 (define @t104 () (tptp.relation_of2_as_subset @t2 @t3 @t3)) % 35.20/35.45 (define @t105 () (forall @t8 (=> @t7 @t104))) % 35.20/35.45 (define @t106 () (tptp.relation_of2 @t33 @t1 @t14)) % 35.20/35.45 (define @t107 () (tptp.complete_latt_str @t62)) % 35.20/35.45 (define @t108 () (tptp.boolean_lattstr @t62)) % 35.20/35.45 (define @t109 () (tptp.complemented_lattstr @t62)) % 35.20/35.45 (define @t110 () (tptp.bounded_lattstr @t62)) % 35.20/35.45 (define @t111 () (tptp.upper_bounded_semilattstr @t62)) % 35.20/35.45 (define @t112 () (tptp.lower_bounded_semilattstr @t62)) % 35.20/35.45 (define @t113 () (tptp.modular_lattstr @t62)) % 35.20/35.45 (define @t114 () (tptp.distributive_lattstr @t62)) % 35.20/35.45 (define @t115 () (tptp.lattice @t62)) % 35.20/35.45 (define @t116 () (tptp.join_absorbing @t62)) % 35.20/35.45 (define @t117 () (tptp.meet_absorbing @t62)) % 35.20/35.45 (define @t118 () (tptp.meet_associative @t62)) % 35.20/35.45 (define @t119 () (tptp.meet_commutative @t62)) % 35.20/35.45 (define @t120 () (tptp.join_associative @t62)) % 35.20/35.45 (define @t121 () (tptp.join_commutative @t62)) % 35.20/35.45 (define @t122 () (not (tptp.empty_carrier @t62))) % 35.20/35.45 (define @t123 () (forall @t8 (and @t122 @t89 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107))) % 35.20/35.45 (define @t124 () (tptp.empty @t1)) % 35.20/35.45 (define @t125 () (not @t124)) % 35.20/35.45 (define @t126 () (and @t28 @t99)) % 35.20/35.45 (define @t127 () (tptp.powerset @t1)) % 35.20/35.45 (define @t128 () (tptp.rel_str_of @t71 @t14)) % 35.20/35.45 (define @t129 () (tptp.with_infima_relstr @t58)) % 35.20/35.45 (define @t130 () (tptp.with_suprema_relstr @t58)) % 35.20/35.45 (define @t131 () (not (tptp.empty_carrier @t58))) % 35.20/35.45 (define @t132 () (tptp.upper_bounded_relstr @t58)) % 35.20/35.45 (define @t133 () (tptp.lower_bounded_relstr @t58)) % 35.20/35.45 (define @t134 () (tptp.empty @t14)) % 35.20/35.45 (define @t135 () (not @t134)) % 35.20/35.45 (define @t136 () (tptp.antisymmetric_relstr @t63)) % 35.20/35.45 (define @t137 () (tptp.transitive_relstr @t63)) % 35.20/35.45 (define @t138 () (tptp.reflexive_relstr @t63)) % 35.20/35.45 (define @t139 () (not (tptp.empty_carrier @t63))) % 35.20/35.45 (define @t140 () (@var "D" $$unsorted)) % 35.20/35.45 (define @t141 () (and (= @t1 @t33) (= @t14 @t140))) % 35.20/35.45 (define @t142 () (= @t75 (tptp.rel_str_of @t33 @t140))) % 35.20/35.45 (define @t143 () (@list @t33 @t140)) % 35.20/35.45 (define @t144 () (forall @t143 (=> @t142 @t141))) % 35.20/35.45 (define @t145 () (=> @t77 @t144)) % 35.20/35.45 (define @t146 () (forall @t16 @t145)) % 35.20/35.45 (define @t147 () (@var "F" $$unsorted)) % 35.20/35.45 (define @t148 () (@var "E" $$unsorted)) % 35.20/35.45 (define @t149 () (tptp.element @t14 @t127)) % 35.20/35.45 (define @t150 () (tptp.below_refl @t1 @t14 @t33)) % 35.20/35.45 (define @t151 () (= @t150 (tptp.below @t1 @t14 @t33))) % 35.20/35.45 (define @t152 () (and @t28 @t24 @t22 @t21 @t13 @t65 @t73)) % 35.20/35.45 (define @t153 () (forall @t37 (=> @t152 @t151))) % 35.20/35.45 (define @t154 () (and @t28 @t43 @t7 @t65 @t73)) % 35.20/35.45 (define @t155 () (tptp.element @t1 @t14)) % 35.20/35.45 (define @t156 () (tptp.subset @t14 @t33)) % 35.20/35.45 (define @t157 () (= (tptp.below @t62 @t14 @t33) @t156)) % 35.20/35.45 (define @t158 () (tptp.the_carrier @t62)) % 35.20/35.45 (define @t159 () (tptp.element @t33 @t158)) % 35.20/35.45 (define @t160 () (forall @t74 (=> @t159 @t157))) % 35.20/35.45 (define @t161 () (tptp.element @t14 @t158)) % 35.20/35.45 (define @t162 () (=> @t161 @t160)) % 35.20/35.45 (define @t163 () (forall @t16 @t162)) % 35.20/35.45 (define @t164 () (tptp.related_reflexive @t63 @t14 @t33)) % 35.20/35.45 (define @t165 () (tptp.the_carrier @t63)) % 35.20/35.45 (define @t166 () (tptp.element @t33 @t165)) % 35.20/35.45 (define @t167 () (=> @t166 (= @t164 @t156))) % 35.20/35.45 (define @t168 () (forall @t74 @t167)) % 35.20/35.45 (define @t169 () (tptp.element @t14 @t165)) % 35.20/35.45 (define @t170 () (=> @t169 @t168)) % 35.20/35.45 (define @t171 () (forall @t16 @t170)) % 35.20/35.45 (define @t172 () (not @t171)) % 35.20/35.45 (define @t173 () (tptp.element @t14 (tptp.powerset @t33))) % 35.20/35.45 (define @t174 () (= @t150 (tptp.related_reflexive @t58 @t64 (tptp.cast_to_el_of_LattPOSet @t1 @t33)))) % 35.20/35.45 (define @t175 () (forall @t74 (=> @t73 @t174))) % 35.20/35.45 (define @t176 () (=> @t65 @t175)) % 35.20/35.45 (define @t177 () (forall @t67 @t176)) % 35.20/35.45 (define @t178 () (=> @t60 @t177)) % 35.20/35.45 (define @t179 () (forall @t8 @t178)) % 35.20/35.45 (define @t180 () (@var "BOUND_VARIABLE_9056" $$unsorted)) % 35.20/35.45 (define @t181 () (= (tptp.subset @t14 @t180) (tptp.related_reflexive @t63 @t14 @t180))) % 35.20/35.45 (define @t182 () (not (tptp.element @t180 @t165))) % 35.20/35.45 (define @t183 () (not @t169)) % 35.20/35.45 (define @t184 () (or @t183 @t182 @t181)) % 35.20/35.45 (define @t185 () (@list @t1 @t14 @t180)) % 35.20/35.45 (define @t186 () (forall @t185 @t184)) % 35.20/35.45 (define @t187 () (@quantifiers_skolemize @t186 0)) % 35.20/35.45 (define @t188 () (@list @t187)) % 35.20/35.45 (define @t189 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 35.20/35.45 (define @t190 () (= @t189 (tptp.cast_to_el_of_LattPOSet @t1 @t189))) % 35.20/35.45 (define @t191 () (not (tptp.element @t189 @t3))) % 35.20/35.45 (define @t192 () (not @t13)) % 35.20/35.45 (define @t193 () (not @t20)) % 35.20/35.45 (define @t194 () (or @t191 @t190)) % 35.20/35.45 (define @t195 () (or @t27 @t193 @t192 @t194)) % 35.20/35.45 (define @t196 () (forall (@list @t1 @t189) @t195)) % 35.20/35.45 (define @t197 () (@list @t189)) % 35.20/35.45 (define @t198 () (forall @t197 @t195)) % 35.20/35.45 (define @t199 () (forall @t197 @t194)) % 35.20/35.45 (define @t200 () (or @t27 @t193 @t192 @t199)) % 35.20/35.45 (define @t201 () (= @t14 @t64)) % 35.20/35.45 (define @t202 () (not @t65)) % 35.20/35.45 (define @t203 () (forall @t67 (or @t202 @t201))) % 35.20/35.45 (define @t204 () (or @t27 @t193 @t192 @t203)) % 35.20/35.45 (define @t205 () (or @t27 @t193 @t192)) % 35.20/35.45 (define @t206 () (not @t28)) % 35.20/35.45 (define @t207 () (or @t206 @t193 @t192)) % 35.20/35.45 (define @t208 () (not @t60)) % 35.20/35.45 (define @t209 () (@quantifiers_skolemize @t186 2)) % 35.20/35.45 (define @t210 () (tptp.boole_lattice @t187)) % 35.20/35.45 (define @t211 () (or @t182 @t181)) % 35.20/35.45 (define @t212 () (or @t183 @t211)) % 35.20/35.45 (define @t213 () (forall @t185 @t212)) % 35.20/35.45 (define @t214 () (@list @t180)) % 35.20/35.45 (define @t215 () (forall @t214 @t212)) % 35.20/35.45 (define @t216 () (forall @t214 @t211)) % 35.20/35.45 (define @t217 () (@list @t33)) % 35.20/35.45 (define @t218 () (or @t183 @t216)) % 35.20/35.45 (define @t219 () (= @t156 @t164)) % 35.20/35.45 (define @t220 () (forall @t74 (or (not @t166) @t219))) % 35.20/35.45 (define @t221 () (tptp.boole_POSet @t187)) % 35.20/35.45 (define @t222 () (tptp.the_carrier @t221)) % 35.20/35.45 (define @t223 () (tptp.element @t209 @t222)) % 35.20/35.45 (define @t224 () (@quantifiers_skolemize @t186 1)) % 35.20/35.45 (define @t225 () (tptp.related_reflexive @t221 @t224 @t209)) % 35.20/35.45 (define @t226 () (tptp.subset @t224 @t209)) % 35.20/35.45 (define @t227 () (= @t226 @t225)) % 35.20/35.45 (define @t228 () (not @t223)) % 35.20/35.45 (define @t229 () (tptp.element @t224 @t222)) % 35.20/35.45 (define @t230 () (not @t229)) % 35.20/35.45 (define @t231 () (or @t230 @t228 @t227)) % 35.20/35.45 (define @t232 () (@list true)) % 35.20/35.45 (define @t233 () (@list @t231)) % 35.20/35.45 (define @t234 () (@var "BOUND_VARIABLE_8801" $$unsorted)) % 35.20/35.45 (define @t235 () (@var "BOUND_VARIABLE_8799" $$unsorted)) % 35.20/35.45 (define @t236 () (and (= @t1 @t235) (= @t14 @t234))) % 35.20/35.45 (define @t237 () (not (= @t75 (tptp.rel_str_of @t235 @t234)))) % 35.20/35.45 (define @t238 () (not @t77)) % 35.20/35.45 (define @t239 () (or @t237 @t236)) % 35.20/35.45 (define @t240 () (or @t238 @t239)) % 35.20/35.45 (define @t241 () (forall (@list @t1 @t14 @t235 @t234) @t240)) % 35.20/35.45 (define @t242 () (@list @t235 @t234)) % 35.20/35.45 (define @t243 () (forall @t242 @t240)) % 35.20/35.45 (define @t244 () (forall @t242 @t239)) % 35.20/35.45 (define @t245 () (or @t238 @t244)) % 35.20/35.45 (define @t246 () (forall @t143 (or (not @t142) @t141))) % 35.20/35.45 (define @t247 () (tptp.k2_lattice3 @t210)) % 35.20/35.45 (define @t248 () (tptp.the_carrier @t210)) % 35.20/35.45 (define @t249 () (tptp.the_InternalRel @t221)) % 35.20/35.45 (define @t250 () (forall @t8 @t88)) % 35.20/35.45 (define @t251 () (@list @t1)) % 35.20/35.45 (define @t252 () (forall @t8 @t89)) % 35.20/35.45 (define @t253 () (and @t252 @t250)) % 35.20/35.45 (define @t254 () (forall @t8 @t107)) % 35.20/35.45 (define @t255 () (forall @t8 @t108)) % 35.20/35.45 (define @t256 () (forall @t8 @t109)) % 35.20/35.45 (define @t257 () (forall @t8 @t110)) % 35.20/35.45 (define @t258 () (forall @t8 @t111)) % 35.20/35.45 (define @t259 () (forall @t8 @t112)) % 35.20/35.45 (define @t260 () (forall @t8 @t113)) % 35.20/35.45 (define @t261 () (forall @t8 @t114)) % 35.20/35.45 (define @t262 () (forall @t8 @t115)) % 35.20/35.45 (define @t263 () (forall @t8 @t116)) % 35.20/35.45 (define @t264 () (forall @t8 @t117)) % 35.20/35.45 (define @t265 () (forall @t8 @t118)) % 35.20/35.45 (define @t266 () (forall @t8 @t119)) % 35.20/35.45 (define @t267 () (forall @t8 @t120)) % 35.20/35.45 (define @t268 () (forall @t8 @t121)) % 35.20/35.45 (define @t269 () (forall @t8 @t122)) % 35.20/35.45 (define @t270 () (and @t269 @t252 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t255 @t254)) % 35.20/35.45 (define @t271 () (tptp.rel_str_of @t248 @t247)) % 35.20/35.45 (define @t272 () (tptp.poset_of_lattice @t210)) % 35.20/35.45 (define @t273 () (= @t272 @t271)) % 35.20/35.45 (define @t274 () (tptp.latt_str @t210)) % 35.20/35.45 (define @t275 () (not @t274)) % 35.20/35.45 (define @t276 () (tptp.lattice @t210)) % 35.20/35.45 (define @t277 () (not @t276)) % 35.20/35.45 (define @t278 () (tptp.empty_carrier @t210)) % 35.20/35.45 (define @t279 () (or @t278 @t277 @t275 @t273)) % 35.20/35.45 (define @t280 () (not @t5)) % 35.20/35.45 (define @t281 () (not @t7)) % 35.20/35.45 (define @t282 () (@list @t221)) % 35.20/35.45 (define @t283 () (forall @t8 @t95)) % 35.20/35.45 (define @t284 () (forall @t8 @t96)) % 35.20/35.45 (define @t285 () (and @t284 @t283)) % 35.20/35.45 (define @t286 () (tptp.rel_str_of @t222 @t249)) % 35.20/35.45 (define @t287 () (= @t221 @t286)) % 35.20/35.45 (define @t288 () (tptp.strict_rel_str @t221)) % 35.20/35.45 (define @t289 () (not @t288)) % 35.20/35.45 (define @t290 () (tptp.rel_str @t221)) % 35.20/35.45 (define @t291 () (not @t290)) % 35.20/35.45 (define @t292 () (or @t291 @t289 @t287)) % 35.20/35.45 (define @t293 () (@list false false false)) % 35.20/35.45 (define @t294 () (tptp.relation_of2_as_subset @t249 @t222 @t222)) % 35.20/35.45 (define @t295 () (or @t291 @t294)) % 35.20/35.45 (define @t296 () (@list false false)) % 35.20/35.45 (define @t297 () (tptp.relation_of2 @t249 @t222 @t222)) % 35.20/35.45 (define @t298 () (= @t294 @t297)) % 35.20/35.45 (define @t299 () (= @t222 @t248)) % 35.20/35.45 (define @t300 () (and @t299 (= @t249 @t247))) % 35.20/35.45 (define @t301 () (= @t286 @t271)) % 35.20/35.45 (define @t302 () (not @t301)) % 35.20/35.45 (define @t303 () (not @t297)) % 35.20/35.45 (define @t304 () (or @t303 @t302 @t300)) % 35.20/35.45 (define @t305 () (@list false)) % 35.20/35.45 (define @t306 () (tptp.element @t209 @t248)) % 35.20/35.45 (define @t307 () (tptp.cast_to_el_of_LattPOSet @t210 @t209)) % 35.20/35.45 (define @t308 () (= @t209 @t307)) % 35.20/35.45 (define @t309 () (not @t306)) % 35.20/35.45 (define @t310 () (or @t278 @t277 @t275 @t309 @t308)) % 35.20/35.45 (define @t311 () (@list true false false false false)) % 35.20/35.45 (define @t312 () (tptp.element @t224 @t248)) % 35.20/35.45 (define @t313 () (tptp.cast_to_el_of_LattPOSet @t210 @t224)) % 35.20/35.45 (define @t314 () (= @t224 @t313)) % 35.20/35.45 (define @t315 () (not @t312)) % 35.20/35.45 (define @t316 () (or @t278 @t277 @t275 @t315 @t314)) % 35.20/35.45 (define @t317 () (@var "BOUND_VARIABLE_9027" $$unsorted)) % 35.20/35.45 (define @t318 () (= (tptp.below @t62 @t14 @t317) (tptp.subset @t14 @t317))) % 35.20/35.45 (define @t319 () (not (tptp.element @t317 @t158))) % 35.20/35.45 (define @t320 () (not @t161)) % 35.20/35.45 (define @t321 () (or @t320 @t319 @t318)) % 35.20/35.45 (define @t322 () (or @t319 @t318)) % 35.20/35.45 (define @t323 () (or @t320 @t322)) % 35.20/35.45 (define @t324 () (@list @t1 @t14 @t317)) % 35.20/35.45 (define @t325 () (forall @t324 @t323)) % 35.20/35.45 (define @t326 () (@list @t317)) % 35.20/35.45 (define @t327 () (forall @t326 @t323)) % 35.20/35.45 (define @t328 () (forall @t326 @t322)) % 35.20/35.45 (define @t329 () (or @t320 @t328)) % 35.20/35.45 (define @t330 () (forall @t74 (or (not @t159) @t157))) % 35.20/35.45 (define @t331 () (tptp.below @t210 @t224 @t209)) % 35.20/35.45 (define @t332 () (or @t315 @t309 (= @t331 @t226))) % 35.20/35.45 (define @t333 () (forall @t324 @t321)) % 35.20/35.45 (define @t334 () (= @t226 @t331)) % 35.20/35.45 (define @t335 () (or @t315 @t309 @t334)) % 35.20/35.45 (define @t336 () (not @t334)) % 35.20/35.45 (define @t337 () (not @t226)) % 35.20/35.45 (define @t338 () (not @t73)) % 35.20/35.45 (define @t339 () (not @t21)) % 35.20/35.45 (define @t340 () (not @t22)) % 35.20/35.45 (define @t341 () (not @t24)) % 35.20/35.45 (define @t342 () (or @t206 @t341 @t340 @t339 @t192 @t202 @t338)) % 35.20/35.45 (define @t343 () (@list @t210 @t224 @t209)) % 35.20/35.45 (define @t344 () (tptp.below_refl @t210 @t224 @t209)) % 35.20/35.45 (define @t345 () (= @t344 @t331)) % 35.20/35.45 (define @t346 () (tptp.join_absorbing @t210)) % 35.20/35.45 (define @t347 () (not @t346)) % 35.20/35.45 (define @t348 () (tptp.meet_absorbing @t210)) % 35.20/35.45 (define @t349 () (not @t348)) % 35.20/35.45 (define @t350 () (tptp.meet_commutative @t210)) % 35.20/35.45 (define @t351 () (not @t350)) % 35.20/35.45 (define @t352 () (or @t278 @t351 @t349 @t347 @t275 @t315 @t309 @t345)) % 35.20/35.45 (define @t353 () (not @t345)) % 35.20/35.45 (define @t354 () (not @t331)) % 35.20/35.45 (define @t355 () (@var "BOUND_VARIABLE_9113" $$unsorted)) % 35.20/35.45 (define @t356 () (@var "BOUND_VARIABLE_9111" $$unsorted)) % 35.20/35.45 (define @t357 () (= (tptp.below_refl @t1 @t356 @t355) (tptp.related_reflexive @t58 (tptp.cast_to_el_of_LattPOSet @t1 @t356) (tptp.cast_to_el_of_LattPOSet @t1 @t355)))) % 35.20/35.45 (define @t358 () (not (tptp.element @t355 @t3))) % 35.20/35.45 (define @t359 () (not (tptp.element @t356 @t3))) % 35.20/35.45 (define @t360 () (or @t359 @t358 @t357)) % 35.20/35.45 (define @t361 () (or @t27 @t193 @t192 @t360)) % 35.20/35.45 (define @t362 () (forall (@list @t1 @t356 @t355) @t361)) % 35.20/35.45 (define @t363 () (@list @t356 @t355)) % 35.20/35.45 (define @t364 () (forall @t363 @t361)) % 35.20/35.45 (define @t365 () (forall @t363 @t360)) % 35.20/35.45 (define @t366 () (@var "BOUND_VARIABLE_9093" $$unsorted)) % 35.20/35.45 (define @t367 () (or @t27 @t193 @t192 @t365)) % 35.20/35.45 (define @t368 () (= (tptp.below_refl @t1 @t14 @t366) (tptp.related_reflexive @t58 @t64 (tptp.cast_to_el_of_LattPOSet @t1 @t366)))) % 35.20/35.45 (define @t369 () (not (tptp.element @t366 @t3))) % 35.20/35.45 (define @t370 () (or @t202 @t369 @t368)) % 35.20/35.45 (define @t371 () (@list @t14 @t366)) % 35.20/35.45 (define @t372 () (forall @t371 @t370)) % 35.20/35.45 (define @t373 () (or @t27 @t193 @t192 @t372)) % 35.20/35.45 (define @t374 () (or @t369 @t368)) % 35.20/35.45 (define @t375 () (or @t202 @t374)) % 35.20/35.45 (define @t376 () (forall @t371 @t375)) % 35.20/35.45 (define @t377 () (@list @t366)) % 35.20/35.45 (define @t378 () (forall @t377 @t375)) % 35.20/35.45 (define @t379 () (forall @t377 @t374)) % 35.20/35.45 (define @t380 () (or @t202 @t379)) % 35.20/35.45 (define @t381 () (forall @t74 (or @t338 @t174))) % 35.20/35.45 (define @t382 () (tptp.related_reflexive @t272 @t313 @t307)) % 35.20/35.45 (define @t383 () (= @t344 @t382)) % 35.20/35.45 (define @t384 () (or @t278 @t277 @t275 @t315 @t309 @t383)) % 35.20/35.45 (define @t385 () (not @t383)) % 35.20/35.45 (define @t386 () (not @t344)) % 35.20/35.45 (define @t387 () (not @t382)) % 35.20/35.45 (define @t388 () (not @t308)) % 35.20/35.45 (define @t389 () (not @t314)) % 35.20/35.45 (define @t390 () (= @t221 @t272)) % 35.20/35.45 (define @t391 () (not @t390)) % 35.20/35.45 (define @t392 () (not @t225)) % 35.20/35.45 (define @t393 () (and @t392 @t390 @t314 @t308)) % 35.20/35.45 (define @t394 () (@list true false)) % 35.20/35.45 (define @t395 () (and @t225 @t390 @t314 @t308)) % 35.20/35.45 (assume @p1 @t9) % 35.20/35.45 (assume @p2 (forall @t8 (=> @t13 (=> @t12 (= @t1 (tptp.latt_str_of @t3 @t11 @t10)))))) % 35.20/35.45 (assume @p3 (forall @t16 (=> @t15 (not (tptp.in @t14 @t1))))) % 35.20/35.45 (assume @p4 (forall @t8 (=> @t13 (=> (and @t28 @t20 @t29) (and @t28 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17))))) % 35.20/35.45 (assume @p5 (forall @t8 (=> @t7 (=> @t30 @t28)))) % 35.20/35.45 (assume @p6 (forall @t8 (=> @t13 (=> @t32 @t31)))) % 35.20/35.45 (assume @p7 (forall @t37 (=> @t36 @t34))) % 35.20/35.45 (assume @p8 (forall @t8 (=> @t7 (=> @t40 (and @t28 @t30 @t38))))) % 35.20/35.45 (assume @p9 (forall @t8 (=> @t7 (=> @t38 @t28)))) % 35.20/35.45 (assume @p10 (forall @t8 (=> @t13 (=> @t31 @t32)))) % 35.20/35.45 (assume @p11 (forall @t8 (=> @t7 (=> (and @t28 @t43 @t44) (and @t28 @t43 @t42 @t41 @t39))))) % 35.20/35.45 (assume @p12 (forall @t8 (=> @t13 (=> @t46 @t45)))) % 35.20/35.45 (assume @p13 (forall @t8 (=> @t7 (=> @t40 (and @t28 @t47))))) % 35.20/35.45 (assume @p14 (forall @t8 (=> @t13 (=> @t45 @t46)))) % 35.20/35.45 (assume @p15 (forall @t8 (=> @t7 (=> @t47 @t50)))) % 35.20/35.45 (assume @p16 (forall @t8 (=> @t13 (=> @t54 (and @t28 @t52 @t19 @t18 @t17 @t51))))) % 35.20/35.45 (assume @p17 (forall @t8 (=> @t7 (=> @t50 @t47)))) % 35.20/35.45 (assume @p18 (forall @t8 (=> @t13 (=> (and @t28 @t52 @t17 @t51) @t54)))) % 35.20/35.45 (assume @p19 (forall @t8 (=> @t13 (=> (and @t28 @t20 @t52) (and @t28 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t55))))) % 35.20/35.45 (assume @p20 (forall @t16 (= @t56 (tptp.unordered_pair @t14 @t1)))) % 35.20/35.45 (assume @p21 @t61) % 35.20/35.45 (assume @p22 (forall @t8 (= @t63 (tptp.poset_of_lattice @t62)))) % 35.20/35.45 (assume @p23 @t70) % 35.20/35.45 (assume @p24 (forall @t16 (= (tptp.ordered_pair @t1 @t14) (tptp.unordered_pair @t56 @t71)))) % 35.20/35.45 (assume @p25 (forall @t8 (=> @t7 (forall @t67 (=> @t65 (forall @t74 (=> @t73 (= @t72 (tptp.in (tptp.ordered_pair @t14 @t33) @t2))))))))) % 35.20/35.45 (assume @p26 (forall @t16 (=> @t77 (and @t76 (tptp.rel_str @t75))))) % 35.20/35.45 (assume @p27 (forall @t37 (=> @t87 (and @t79 (tptp.latt_str @t78))))) % 35.20/35.45 (assume @p28 @t90) % 35.20/35.45 (assume @p29 true) % 35.20/35.45 (assume @p30 (forall @t8 (=> @t60 (and (tptp.reflexive @t57) (tptp.antisymmetric @t57) (tptp.transitive @t57) (tptp.v1_partfun1 @t57 @t3 @t3) (tptp.relation_of2_as_subset @t57 @t3 @t3))))) % 35.20/35.45 (assume @p31 (forall @t8 (=> @t60 (and @t94 @t93 @t92 @t91 (tptp.rel_str @t58))))) % 35.20/35.45 (assume @p32 @t97) % 35.20/35.45 (assume @p33 (forall @t16 (=> (and @t28 @t20 @t13 @t65) (tptp.element @t64 (tptp.the_carrier @t58))))) % 35.20/35.45 (assume @p34 (forall @t8 (=> @t60 (tptp.relation @t98)))) % 35.20/35.45 (assume @p35 (forall @t8 (=> @t100 @t99))) % 35.20/35.45 (assume @p36 (forall @t8 (=> @t7 @t99))) % 35.20/35.45 (assume @p37 (forall @t8 (=> @t101 @t99))) % 35.20/35.45 (assume @p38 (forall @t8 (=> @t13 (and @t100 @t101)))) % 35.20/35.45 (assume @p39 (forall @t37 (=> @t102 @t36))) % 35.20/35.45 (assume @p40 (forall @t8 (=> @t100 (and (tptp.function @t10) (tptp.quasi_total @t10 @t103 @t3) (tptp.relation_of2_as_subset @t10 @t103 @t3))))) % 35.20/35.45 (assume @p41 @t105) % 35.20/35.45 (assume @p42 (forall @t8 (=> @t101 (and (tptp.function @t11) (tptp.quasi_total @t11 @t103 @t3) (tptp.relation_of2_as_subset @t11 @t103 @t3))))) % 35.20/35.45 (assume @p43 (exists @t8 @t100)) % 35.20/35.45 (assume @p44 (exists @t8 @t7)) % 35.20/35.45 (assume @p45 (exists @t8 @t99)) % 35.20/35.45 (assume @p46 (exists @t8 @t101)) % 35.20/35.45 (assume @p47 (exists @t8 @t13)) % 35.20/35.45 (assume @p48 (forall @t16 (exists @t74 @t106))) % 35.20/35.45 (assume @p49 (forall @t8 (exists @t67 (tptp.element @t14 @t1)))) % 35.20/35.45 (assume @p50 (forall @t16 (exists @t74 @t102))) % 35.20/35.45 (assume @p51 @t123) % 35.20/35.45 (assume @p52 (forall @t8 (and @t122 @t89))) % 35.20/35.45 (assume @p53 (forall @t16 (=> (and @t125 @t77) (and (not (tptp.empty_carrier @t75)) @t76)))) % 35.20/35.45 (assume @p54 (forall @t8 (=> @t126 (not (tptp.empty @t3))))) % 35.20/35.45 (assume @p55 (forall @t8 (not (tptp.empty @t127)))) % 35.20/35.45 (assume @p56 (tptp.empty tptp.empty_set)) % 35.20/35.45 (assume @p57 (forall @t16 (=> (tptp.relation_of2 @t14 @t71 @t71) (and (not (tptp.empty_carrier @t128)) (tptp.strict_rel_str @t128) (tptp.trivial_carrier @t128))))) % 35.20/35.45 (assume @p58 (forall @t8 (=> @t60 (and @t131 @t94 @t93 @t92 @t91 @t130 @t129)))) % 35.20/35.45 (assume @p59 (forall @t8 (and @t122 @t89 @t121 @t120 @t119 @t118 @t117 @t116 @t115))) % 35.20/35.45 (assume @p60 (forall @t8 (=> (and @t43 @t42 @t41 @t7) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 35.20/35.45 (assume @p61 (forall @t8 (not (tptp.empty @t71)))) % 35.20/35.45 (assume @p62 (forall @t8 (=> (and @t28 @t20 @t18 @t13) (and @t131 @t94 @t93 @t92 @t91 @t132 @t130 @t129)))) % 35.20/35.45 (assume @p63 (forall @t8 (and @t122 @t89 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108))) % 35.20/35.45 (assume @p64 (forall @t37 (=> (and @t125 @t86 @t85 @t84 @t83 @t82 @t81) (and (not (tptp.empty_carrier @t78)) @t79)))) % 35.20/35.45 (assume @p65 (forall @t16 (=> (and (tptp.reflexive @t14) (tptp.antisymmetric @t14) (tptp.transitive @t14) (tptp.v1_partfun1 @t14 @t1 @t1) @t77) (and @t76 (tptp.reflexive_relstr @t75) (tptp.transitive_relstr @t75) (tptp.antisymmetric_relstr @t75))))) % 35.20/35.45 (assume @p66 (forall @t16 (not (tptp.empty @t56)))) % 35.20/35.45 (assume @p67 (forall @t8 (=> (and @t28 @t20 @t19 @t13) (and @t131 @t94 @t93 @t92 @t91 @t133 @t130 @t129)))) % 35.20/35.45 (assume @p68 (forall @t8 (=> @t60 (and @t131 @t94 @t93 @t92 @t91)))) % 35.20/35.45 (assume @p69 (forall @t16 (=> (and @t125 @t135) (not (tptp.empty @t35))))) % 35.20/35.45 (assume @p70 (forall @t8 (=> (and @t28 @t20 @t29 @t13) (and @t131 @t94 @t93 @t92 @t91 @t133 @t132 (tptp.bounded_relstr @t58) @t130 @t129 (tptp.complete_relstr @t58))))) % 35.20/35.45 (assume @p71 (forall @t8 (and @t139 @t96 @t138 @t137 @t136))) % 35.20/35.45 (assume @p72 (forall @t8 (and @t139 @t96 @t138 @t137 @t136 (tptp.lower_bounded_relstr @t63) (tptp.upper_bounded_relstr @t63) (tptp.bounded_relstr @t63) (tptp.with_suprema_relstr @t63) (tptp.with_infima_relstr @t63) (tptp.complete_relstr @t63)))) % 35.20/35.45 (assume @p73 @t146) % 35.20/35.45 (assume @p74 (forall @t37 (=> @t87 (forall (@list @t140 @t148 @t147) (=> (= @t78 (tptp.latt_str_of @t140 @t148 @t147)) (and (= @t1 @t140) (= @t14 @t148) (= @t33 @t147))))))) % 35.20/35.45 (assume @p75 (exists @t8 (and @t13 @t28 @t12 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t52 @t55 @t19 @t18))) % 35.20/35.45 (assume @p76 (exists @t8 (and @t13 @t28 @t12 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17))) % 35.20/35.45 (assume @p77 (exists @t8 (and @t13 @t28 @t12 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t51))) % 35.20/35.45 (assume @p78 (exists @t8 (and @t13 @t28 @t12 @t26 @t25 @t24 @t23 @t22 @t21 @t20 @t52 @t19 @t18 @t17 @t51 @t53))) % 35.20/35.45 (assume @p79 (exists @t8 (and @t7 @t28 @t5 @t43 @t42 @t41 @t39))) % 35.20/35.45 (assume @p80 (exists @t8 (and @t7 @t5))) % 35.20/35.45 (assume @p81 (forall @t8 (=> @t125 (exists @t67 (and @t149 @t135))))) % 35.20/35.45 (assume @p82 (exists @t8 @t124)) % 35.20/35.45 (assume @p83 (exists @t8 (and @t7 @t28 @t5 @t43 @t42 @t41 @t30 @t38 @t39 @t44))) % 35.20/35.45 (assume @p84 (exists @t8 (and @t7 @t28 @t5 @t43 @t42 @t41 @t30 @t38 @t39))) % 35.20/35.45 (assume @p85 (exists @t8 (and @t7 @t28 @t5 @t43 @t42 @t41))) % 35.20/35.45 (assume @p86 (forall @t16 (exists @t74 (and @t106 @t34 @t83)))) % 35.20/35.45 (assume @p87 (forall @t8 (exists @t67 (and @t149 @t134)))) % 35.20/35.45 (assume @p88 (exists @t8 @t125)) % 35.20/35.45 (assume @p89 (exists @t8 (and @t7 @t28 @t43 @t42 @t41 @t30 @t38 @t39 @t49 @t48 @t47))) % 35.20/35.45 (assume @p90 (exists @t8 (and @t13 @t12))) % 35.20/35.45 (assume @p91 (exists @t8 (and @t99 @t28))) % 35.20/35.45 (assume @p92 (forall @t8 (=> @t126 (exists @t67 (and (tptp.element @t14 (tptp.powerset @t3)) @t135))))) % 35.20/35.45 (assume @p93 (exists @t8 (and @t13 @t28 @t12))) % 35.20/35.45 (assume @p94 (exists @t8 (and @t13 @t28 @t12 @t26 @t25 @t24 @t23 @t22 @t21 @t20))) % 35.20/35.45 (assume @p95 (forall @t8 (=> @t60 (= @t57 @t98)))) % 35.20/35.45 (assume @p96 (forall @t37 (= @t102 @t106))) % 35.20/35.45 (assume @p97 @t153) % 35.20/35.45 (assume @p98 (forall @t37 (=> @t154 (= (tptp.related_reflexive @t1 @t14 @t33) @t72)))) % 35.20/35.45 (assume @p99 (forall @t16 (tptp.subset @t1 @t1))) % 35.20/35.45 (assume @p100 (forall @t37 (=> @t152 (tptp.below_refl @t1 @t14 @t14)))) % 35.20/35.45 (assume @p101 (forall @t37 (=> @t154 (tptp.related_reflexive @t1 @t14 @t14)))) % 35.20/35.45 (assume @p102 (forall @t16 (=> @t15 @t155))) % 35.20/35.45 (assume @p103 @t163) % 35.20/35.45 (assume @p104 (forall @t16 (=> @t155 (or @t134 @t15)))) % 35.20/35.45 (assume @p105 @t172) % 35.20/35.45 (assume @p106 (forall @t16 (= (tptp.element @t1 (tptp.powerset @t14)) (tptp.subset @t1 @t14)))) % 35.20/35.45 (assume @p107 (forall @t37 (=> (and @t15 @t173) (tptp.element @t1 @t33)))) % 35.20/35.45 (assume @p108 (forall @t37 (not (and @t15 @t173 (tptp.empty @t33))))) % 35.20/35.45 (assume @p109 (forall @t8 (=> @t124 (= @t1 tptp.empty_set)))) % 35.20/35.45 (assume @p110 (forall @t16 (not (and @t15 @t134)))) % 35.20/35.45 (assume @p111 @t179) % 35.20/35.45 (assume @p112 (forall @t16 (not (and @t124 (not (= @t1 @t14)) @t134)))) % 35.20/35.45 (step @p113 :rule instantiate :premises (@p22) :args (@t188)) % 35.20/35.45 (step @p114 :rule aci_norm :args ((= @t195 (or @t27 @t193 @t192 @t191 @t190)))) % 35.20/35.45 (step @p115 :rule cong :premises (@p114) :args (@t196)) % 35.20/35.45 (step @p116 :rule quant-merge-prenex :args ((= (forall @t8 @t198) @t196))) % 35.20/35.45 (step @p117 :rule alpha_equiv :args (@t199 (@list @t189) (@list @t14))) % 35.20/35.45 (step @p118 :rule refl :args (@t192)) % 35.20/35.45 (step @p119 :rule refl :args (@t193)) % 35.20/35.45 (step @p120 :rule refl :args (@t27)) % 35.20/35.45 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117) :args (@t200)) % 35.20/35.45 (step @p122 :rule quant-miniscope-or :args ((= @t198 @t200))) % 35.20/35.45 (step @p123 :rule trans :premises (@p122 @p121)) % 35.20/35.45 (step @p124 :rule symm :premises (@p123)) % 35.20/35.45 (step @p125 :rule cong :premises (@p124) :args ((forall @t8 @t204))) % 35.20/35.45 (step @p126 :rule trans :premises (@p125 @p116)) % 35.20/35.45 (step @p127 :rule trans :premises (@p126 @p115)) % 35.20/35.45 (step @p128 :rule aci_norm :args ((= (or @t205 @t203) @t204))) % 35.20/35.45 (step @p129 :rule refl :args (@t203)) % 35.20/35.45 (step @p130 :rule bool-double-not-elim :args (@t27)) % 35.20/35.45 (step @p131 :rule nary_cong :premises (@p130 @p119 @p118) :args (@t207)) % 35.20/35.45 (step @p132 :rule aci_norm :args ((= (or @t206 (or @t193 @t192)) @t207))) % 35.20/35.45 (step @p133 :rule trans :premises (@p132 @p131)) % 35.20/35.45 (step @p134 :rule bool-and-de-morgan :args (@t20 @t13 true)) % 35.20/35.45 (step @p135 :rule refl :args (@t206)) % 35.20/35.45 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t206 (not (and @t20 @t13))))) % 35.20/35.45 (step @p137 :rule bool-and-de-morgan :args (@t28 @t20 (and @t13))) % 35.20/35.45 (step @p138 :rule trans :premises (@p137 @p136)) % 35.20/35.45 (step @p139 :rule trans :premises (@p138 @p133)) % 35.20/35.45 (step @p140 :rule nary_cong :premises (@p139 @p129) :args ((or @t208 @t203))) % 35.20/35.45 (step @p141 :rule trans :premises (@p140 @p128)) % 35.20/35.45 (step @p142 :rule bool-impl-elim :args (@t60 @t203)) % 35.20/35.45 (step @p143 :rule trans :premises (@p142 @p141)) % 35.20/35.45 (step @p144 :rule cong :premises (@p143) :args ((forall @t8 (=> @t60 @t203)))) % 35.20/35.45 (step @p145 :rule trans :premises (@p144 @p127)) % 35.20/35.45 (step @p146 :rule bool-impl-elim :args (@t65 @t201)) % 35.20/35.45 (step @p147 :rule cong :premises (@p146) :args ((forall @t67 (=> @t65 @t201)))) % 35.20/35.45 (step @p148 :rule eq-symm :args (@t64 @t14)) % 35.20/35.45 (step @p149 :rule refl :args (@t65)) % 35.20/35.45 (step @p150 :rule cong :premises (@p149 @p148) :args (@t66)) % 35.20/35.45 (step @p151 :rule cong :premises (@p150) :args (@t68)) % 35.20/35.45 (step @p152 :rule trans :premises (@p151 @p147)) % 35.20/35.45 (step @p153 :rule refl :args (@t60)) % 35.20/35.45 (step @p154 :rule cong :premises (@p153 @p152) :args (@t69)) % 35.20/35.45 (step @p155 :rule cong :premises (@p154) :args (@t70)) % 35.20/35.45 (step @p156 :rule trans :premises (@p155 @p145)) % 35.20/35.45 (step @p157 :rule eq_resolve :premises (@p23 @p156)) % 35.20/35.45 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t210 @t209))) % 35.20/35.45 (step @p159 :rule aci_norm :args ((= @t212 @t184))) % 35.20/35.45 (step @p160 :rule cong :premises (@p159) :args (@t213)) % 35.20/35.45 (step @p161 :rule quant-merge-prenex :args ((= (forall @t16 @t215) @t213))) % 35.20/35.45 (step @p162 :rule alpha_equiv :args (@t216 (@list @t180) @t217)) % 35.20/35.45 (step @p163 :rule refl :args (@t183)) % 35.20/35.45 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t218)) % 35.20/35.45 (step @p165 :rule quant-miniscope-or :args ((= @t215 @t218))) % 35.20/35.45 (step @p166 :rule trans :premises (@p165 @p164)) % 35.20/35.45 (step @p167 :rule symm :premises (@p166)) % 35.20/35.45 (step @p168 :rule cong :premises (@p167) :args ((forall @t16 (or @t183 @t220)))) % 35.20/35.45 (step @p169 :rule trans :premises (@p168 @p161)) % 35.20/35.45 (step @p170 :rule trans :premises (@p169 @p160)) % 35.20/35.45 (step @p171 :rule bool-impl-elim :args (@t169 @t220)) % 35.20/35.45 (step @p172 :rule cong :premises (@p171) :args ((forall @t16 (=> @t169 @t220)))) % 35.20/35.45 (step @p173 :rule trans :premises (@p172 @p170)) % 35.20/35.45 (step @p174 :rule bool-impl-elim :args (@t166 @t219)) % 35.20/35.45 (step @p175 :rule cong :premises (@p174) :args ((forall @t74 (=> @t166 @t219)))) % 35.20/35.45 (step @p176 :rule eq-symm :args (@t164 @t156)) % 35.20/35.45 (step @p177 :rule refl :args (@t166)) % 35.20/35.45 (step @p178 :rule cong :premises (@p177 @p176) :args (@t167)) % 35.20/35.45 (step @p179 :rule cong :premises (@p178) :args (@t168)) % 35.20/35.45 (step @p180 :rule trans :premises (@p179 @p175)) % 35.20/35.45 (step @p181 :rule refl :args (@t169)) % 35.20/35.45 (step @p182 :rule cong :premises (@p181 @p180) :args (@t170)) % 35.20/35.45 (step @p183 :rule cong :premises (@p182) :args (@t171)) % 35.20/35.45 (step @p184 :rule trans :premises (@p183 @p173)) % 35.20/35.45 (step @p185 :rule cong :premises (@p184) :args (@t172)) % 35.20/35.45 (step @p186 :rule eq_resolve :premises (@p105 @p185)) % 35.20/35.45 (step @p187 :rule skolemize :premises (@p186)) % 35.20/35.45 (step @p188 :rule bool-double-not-elim :args (@t223)) % 35.20/35.45 (step @p189 :rule refl :args (@t231)) % 35.20/35.45 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t231 (not @t228)))) % 35.20/35.45 (step @p191 :rule cnf_or_neg :args (@t231 1)) % 35.20/35.45 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 35.20/35.45 (step @p193 :rule reordering :premises (@p192) :args ((or @t223 @t231))) % 35.20/35.45 (step @p194 :rule chain_m_resolution :premises (@p193 @p187) :args (@t223 @t232 @t233)) % 35.20/35.45 (step @p195 :rule true_intro :premises (@p194)) % 35.20/35.45 (step @p196 :rule aci_norm :args ((= @t240 (or @t238 @t237 @t236)))) % 35.20/35.45 (step @p197 :rule cong :premises (@p196) :args (@t241)) % 35.20/35.45 (step @p198 :rule quant-merge-prenex :args ((= (forall @t16 @t243) @t241))) % 35.20/35.45 (step @p199 :rule alpha_equiv :args (@t244 (@list @t235 @t234) (@list @t33 @t140))) % 35.20/35.45 (step @p200 :rule refl :args (@t238)) % 35.20/35.45 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t245)) % 35.20/35.45 (step @p202 :rule quant-miniscope-or :args ((= @t243 @t245))) % 35.20/35.45 (step @p203 :rule trans :premises (@p202 @p201)) % 35.20/35.45 (step @p204 :rule symm :premises (@p203)) % 35.20/35.45 (step @p205 :rule cong :premises (@p204) :args ((forall @t16 (or @t238 @t246)))) % 35.20/35.45 (step @p206 :rule trans :premises (@p205 @p198)) % 35.20/35.45 (step @p207 :rule trans :premises (@p206 @p197)) % 35.20/35.45 (step @p208 :rule bool-impl-elim :args (@t77 @t246)) % 35.20/35.45 (step @p209 :rule cong :premises (@p208) :args ((forall @t16 (=> @t77 @t246)))) % 35.20/35.45 (step @p210 :rule trans :premises (@p209 @p207)) % 35.20/35.45 (step @p211 :rule bool-impl-elim :args (@t142 @t141)) % 35.20/35.45 (step @p212 :rule cong :premises (@p211) :args (@t144)) % 35.20/35.45 (step @p213 :rule refl :args (@t77)) % 35.20/35.45 (step @p214 :rule cong :premises (@p213 @p212) :args (@t145)) % 35.20/35.45 (step @p215 :rule cong :premises (@p214) :args (@t146)) % 35.20/35.45 (step @p216 :rule trans :premises (@p215 @p210)) % 35.20/35.45 (step @p217 :rule eq_resolve :premises (@p73 @p216)) % 35.20/35.45 (step @p218 :rule instantiate :premises (@p217) :args ((@list @t222 @t249 @t248 @t247))) % 35.20/35.45 (step @p219 :rule aci_norm :args ((= (or @t205 @t59) (or @t27 @t193 @t192 @t59)))) % 35.20/35.45 (step @p220 :rule refl :args (@t59)) % 35.20/35.45 (step @p221 :rule nary_cong :premises (@p139 @p220) :args ((or @t208 @t59))) % 35.20/35.45 (step @p222 :rule trans :premises (@p221 @p219)) % 35.20/35.45 (step @p223 :rule bool-impl-elim :args (@t60 @t59)) % 35.20/35.45 (step @p224 :rule trans :premises (@p223 @p222)) % 35.20/35.45 (step @p225 :rule cong :premises (@p224) :args (@t61)) % 35.20/35.45 (step @p226 :rule eq_resolve :premises (@p21 @p225)) % 35.20/35.45 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t210))) % 35.20/35.45 (step @p228 :rule alpha_equiv :args (@t250 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@t251 (@list (@var "BOUND_VARIABLE_8429" $$unsorted)))) % 35.20/35.45 (step @p240 :rule alpha_equiv :args (@t258 @t251 (@list (@var "BOUND_VARIABLE_8422" $$unsorted)))) % 35.20/35.45 (step @p241 :rule alpha_equiv :args (@t259 @t251 (@list (@var "BOUND_VARIABLE_8415" $$unsorted)))) % 35.20/35.45 (step @p242 :rule alpha_equiv :args (@t260 @t251 (@list (@var "BOUND_VARIABLE_8409" $$unsorted)))) % 35.20/35.45 (step @p243 :rule alpha_equiv :args (@t261 @t251 (@list (@var "BOUND_VARIABLE_8402" $$unsorted)))) % 35.20/35.45 (step @p244 :rule alpha_equiv :args (@t262 @t251 (@list (@var "BOUND_VARIABLE_8395" $$unsorted)))) % 35.20/35.45 (step @p245 :rule alpha_equiv :args (@t263 @t251 (@list (@var "BOUND_VARIABLE_8389" $$unsorted)))) % 35.20/35.45 (step @p246 :rule alpha_equiv :args (@t264 @t251 (@list (@var "BOUND_VARIABLE_8383" $$unsorted)))) % 35.20/35.45 (step @p247 :rule alpha_equiv :args (@t265 @t251 (@list (@var "BOUND_VARIABLE_8376" $$unsorted)))) % 35.20/35.45 (step @p248 :rule alpha_equiv :args (@t266 @t251 (@list (@var "BOUND_VARIABLE_8369" $$unsorted)))) % 35.20/35.45 (step @p249 :rule alpha_equiv :args (@t267 @t251 (@list (@var "BOUND_VARIABLE_8362" $$unsorted)))) % 35.20/35.45 (step @p250 :rule alpha_equiv :args (@t268 @t251 (@list (@var "BOUND_VARIABLE_8355" $$unsorted)))) % 35.20/35.45 (step @p251 :rule alpha_equiv :args (@t252 @t251 (@list (@var "BOUND_VARIABLE_8349" $$unsorted)))) % 35.20/35.45 (step @p252 :rule alpha_equiv :args (@t269 @t251 (@list (@var "BOUND_VARIABLE_8342" $$unsorted)))) % 35.20/35.45 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250 @p249 @p248 @p247 @p246 @p245 @p244 @p243 @p242 @p241 @p240 @p239 @p238 @p237 @p236) :args (@t270)) % 35.20/35.45 (step @p254 :rule quant-miniscope-and :args ((= @t123 @t270))) % 35.20/35.45 (step @p255 :rule trans :premises (@p254 @p253)) % 35.20/35.45 (step @p256 :rule eq_resolve :premises (@p51 @p255)) % 35.20/35.45 (step @p257 :rule and_elim :premises (@p256) :args (8)) % 35.20/35.45 (step @p258 :rule instantiate :premises (@p257) :args (@t188)) % 35.20/35.45 (step @p259 :rule and_elim :premises (@p256) :args (0)) % 35.20/35.45 (step @p260 :rule instantiate :premises (@p259) :args (@t188)) % 35.20/35.45 (step @p261 :rule cnf_or_pos :args (@t279)) % 35.20/35.45 (step @p262 :rule reordering :premises (@p261) :args ((or @t278 @t277 @t275 @t273 (not @t279)))) % 35.20/35.45 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p258 @p235 @p227) :args (@t273 (@list true false false false) (@list @t278 @t276 @t274 @t279))) % 35.20/35.45 (step @p264 :rule aci_norm :args ((= (or @t281 (or @t280 @t4)) (or @t281 @t280 @t4)))) % 35.20/35.45 (step @p265 :rule bool-impl-elim :args (@t5 @t4)) % 35.20/35.45 (step @p266 :rule refl :args (@t281)) % 35.20/35.45 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or @t281 @t6))) % 35.20/35.45 (step @p268 :rule trans :premises (@p267 @p264)) % 35.20/35.45 (step @p269 :rule bool-impl-elim :args (@t7 @t6)) % 35.20/35.45 (step @p270 :rule trans :premises (@p269 @p268)) % 35.20/35.45 (step @p271 :rule cong :premises (@p270) :args (@t9)) % 35.20/35.45 (step @p272 :rule eq_resolve :premises (@p1 @p271)) % 35.20/35.45 (step @p273 :rule instantiate :premises (@p272) :args (@t282)) % 35.20/35.45 (step @p274 :rule alpha_equiv :args (@t283 @t251 (@list (@var "BOUND_VARIABLE_8269" $$unsorted)))) % 35.20/35.45 (step @p275 :rule alpha_equiv :args (@t284 @t251 (@list (@var "BOUND_VARIABLE_8263" $$unsorted)))) % 35.20/35.45 (step @p276 :rule nary_cong :premises (@p275 @p274) :args (@t285)) % 35.20/35.45 (step @p277 :rule quant-miniscope-and :args ((= @t97 @t285))) % 35.20/35.45 (step @p278 :rule trans :premises (@p277 @p276)) % 35.20/35.45 (step @p279 :rule eq_resolve :premises (@p32 @p278)) % 35.20/35.45 (step @p280 :rule and_elim :premises (@p279) :args (0)) % 35.20/35.45 (step @p281 :rule instantiate :premises (@p280) :args (@t188)) % 35.20/35.45 (step @p282 :rule and_elim :premises (@p279) :args (1)) % 35.20/35.45 (step @p283 :rule instantiate :premises (@p282) :args (@t188)) % 35.20/35.45 (step @p284 :rule cnf_or_pos :args (@t292)) % 35.20/35.45 (step @p285 :rule reordering :premises (@p284) :args ((or @t291 @t289 @t287 (not @t292)))) % 35.20/35.45 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p281 @p273) :args (@t287 @t293 (@list @t290 @t288 @t292))) % 35.20/35.45 (step @p287 :rule symm :premises (@p286)) % 35.20/35.45 (step @p288 :rule trans :premises (@p287 @p113 @p263)) % 35.20/35.45 (step @p289 :rule instantiate :premises (@p96) :args ((@list @t222 @t222 @t249))) % 35.20/35.45 (step @p290 :rule bool-impl-elim :args (@t7 @t104)) % 35.20/35.45 (step @p291 :rule cong :premises (@p290) :args (@t105)) % 35.20/35.45 (step @p292 :rule eq_resolve :premises (@p41 @p291)) % 35.20/35.45 (step @p293 :rule instantiate :premises (@p292) :args (@t282)) % 35.20/35.45 (step @p294 :rule cnf_or_pos :args (@t295)) % 35.20/35.45 (step @p295 :rule reordering :premises (@p294) :args ((or @t291 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35.20/35.46 (step @p306 :rule symm :premises (@p305)) % 35.20/35.46 (step @p307 :rule refl :args (@t209)) % 35.20/35.46 (step @p308 :rule cong :premises (@p307 @p306) :args (@t306)) % 35.20/35.46 (step @p309 :rule trans :premises (@p308 @p195)) % 35.20/35.46 (step @p310 :rule true_elim :premises (@p309)) % 35.20/35.46 (step @p311 :rule cnf_or_pos :args (@t310)) % 35.20/35.46 (step @p312 :rule reordering :premises (@p311) :args ((or @t278 @t277 @t275 @t309 @t308 (not @t310)))) % 35.20/35.46 (step @p313 :rule chain_m_resolution :premises (@p312 @p260 @p258 @p235 @p310 @p158) :args (@t308 @t311 (@list @t278 @t276 @t274 @t306 @t310))) % 35.20/35.46 (step @p314 :rule instantiate :premises (@p157) :args ((@list @t210 @t224))) % 35.20/35.46 (step @p315 :rule bool-double-not-elim :args (@t229)) % 35.20/35.46 (step @p316 :rule nary_cong :premises (@p189 @p315) :args ((or @t231 (not @t230)))) % 35.20/35.46 (step @p317 :rule cnf_or_neg :args (@t231 0)) % 35.20/35.46 (step @p318 :rule eq_resolve 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:args ((not @t227) @t232 @t233)) % 35.20/35.46 (step @p331 :rule cnf_equiv_neg2 :args (@t227)) % 35.20/35.46 (step @p332 :rule aci_norm :args ((= @t323 @t321))) % 35.20/35.46 (step @p333 :rule cong :premises (@p332) :args (@t325)) % 35.20/35.46 (step @p334 :rule quant-merge-prenex :args ((= (forall @t16 @t327) @t325))) % 35.20/35.46 (step @p335 :rule alpha_equiv :args (@t328 (@list @t317) @t217)) % 35.20/35.46 (step @p336 :rule refl :args (@t320)) % 35.20/35.46 (step @p337 :rule nary_cong :premises (@p336 @p335) :args (@t329)) % 35.20/35.46 (step @p338 :rule quant-miniscope-or :args ((= @t327 @t329))) % 35.20/35.46 (step @p339 :rule trans :premises (@p338 @p337)) % 35.20/35.46 (step @p340 :rule symm :premises (@p339)) % 35.20/35.46 (step @p341 :rule cong :premises (@p340) :args ((forall @t16 (or @t320 @t330)))) % 35.20/35.46 (step @p342 :rule trans :premises (@p341 @p334)) % 35.20/35.46 (step @p343 :rule trans :premises (@p342 @p333)) % 35.20/35.46 (step @p344 :rule bool-impl-elim :args (@t161 @t330)) % 35.20/35.46 (step @p345 :rule cong :premises (@p344) :args ((forall @t16 (=> @t161 @t330)))) % 35.20/35.46 (step @p346 :rule trans :premises (@p345 @p343)) % 35.20/35.46 (step @p347 :rule bool-impl-elim :args (@t159 @t157)) % 35.20/35.46 (step @p348 :rule cong :premises (@p347) :args (@t160)) % 35.20/35.46 (step @p349 :rule refl :args (@t161)) % 35.20/35.46 (step @p350 :rule cong :premises (@p349 @p348) :args (@t162)) % 35.20/35.46 (step @p351 :rule cong :premises (@p350) :args (@t163)) % 35.20/35.46 (step @p352 :rule trans :premises (@p351 @p346)) % 35.20/35.46 (step @p353 :rule eq_resolve :premises (@p103 @p352)) % 35.20/35.46 (step @p354 :rule eq-symm :args (@t331 @t226)) % 35.20/35.46 (step @p355 :rule refl :args (@t309)) % 35.20/35.46 (step @p356 :rule refl :args (@t315)) % 35.20/35.46 (step @p357 :rule nary_cong :premises (@p356 @p355 @p354) :args (@t332)) % 35.20/35.46 (step @p358 :rule refl :args (@t333)) % 35.20/35.46 (step @p359 :rule cong :premises (@p358 @p357) :args ((=> @t333 @t332))) % 35.20/35.46 (assume-push @p542 @t333) % 35.20/35.46 (step @p361 :rule instantiate :premises (@p353) :args ((@list @t187 @t224 @t209))) % 35.20/35.46 (step-pop @p543 :rule scope :premises (@p361)) % 35.20/35.46 (step @p362 :rule process_scope :premises (@p543) :args (@t332)) % 35.20/35.46 (step @p364 :rule eq_resolve :premises (@p362 @p359)) % 35.20/35.46 (step @p365 :rule implies_elim :premises (@p364)) % 35.20/35.46 (step @p366 :rule chain_m_resolution :premises (@p365 @p353) :args (@t335 @t305 (@list @t333))) % 35.20/35.46 (step @p367 :rule cnf_or_pos :args (@t335)) % 35.20/35.46 (step @p368 :rule reordering :premises (@p367) :args ((or @t315 @t309 @t334 (not @t335)))) % 35.20/35.46 (step @p369 :rule chain_m_resolution :premises (@p368 @p325 @p310 @p366) :args (@t334 @t293 (@list @t312 @t306 @t335))) % 35.20/35.46 (step @p370 :rule cnf_equiv_pos1 :args (@t334)) % 35.20/35.46 (step @p371 :rule reordering :premises (@p370) :args ((or @t337 @t331 @t336))) % 35.20/35.46 (step @p372 :rule aci_norm :args ((= (or (or @t27 @t341 @t340 @t339 @t192 @t202 @t338) @t151) (or @t27 @t341 @t340 @t339 @t192 @t202 @t338 @t151)))) % 35.20/35.46 (step @p373 :rule refl :args (@t151)) % 35.20/35.46 (step @p374 :rule refl :args (@t338)) % 35.20/35.46 (step @p375 :rule refl :args (@t202)) % 35.20/35.46 (step @p376 :rule refl :args (@t339)) % 35.20/35.46 (step @p377 :rule refl :args (@t340)) % 35.20/35.46 (step @p378 :rule refl :args (@t341)) % 35.20/35.46 (step @p379 :rule nary_cong :premises (@p130 @p378 @p377 @p376 @p118 @p375 @p374) :args (@t342)) % 35.20/35.46 (step @p380 :rule aci_norm :args ((= (or @t206 (or @t341 (or @t340 (or @t339 (or @t192 (or @t202 @t338)))))) @t342))) % 35.20/35.46 (step @p381 :rule trans :premises (@p380 @p379)) % 35.20/35.46 (step @p382 :rule bool-and-de-morgan :args (@t65 @t73 true)) % 35.20/35.46 (step @p383 :rule nary_cong :premises (@p118 @p382) :args ((or @t192 (not (and @t65 @t73))))) % 35.20/35.46 (step @p384 :rule bool-and-de-morgan :args (@t13 @t65 (and @t73))) % 35.20/35.46 (step @p385 :rule trans :premises (@p384 @p383)) % 35.20/35.46 (step @p386 :rule nary_cong :premises (@p376 @p385) :args ((or @t339 (not (and @t13 @t65 @t73))))) % 35.20/35.46 (step @p387 :rule bool-and-de-morgan :args (@t21 @t13 (and @t65 @t73))) % 35.20/35.46 (step @p388 :rule trans :premises (@p387 @p386)) % 35.20/35.46 (step @p389 :rule nary_cong :premises (@p377 @p388) :args ((or @t340 (not (and @t21 @t13 @t65 @t73))))) % 35.20/35.46 (step @p390 :rule bool-and-de-morgan :args (@t22 @t21 (and @t13 @t65 @t73))) % 35.20/35.46 (step @p391 :rule trans :premises (@p390 @p389)) % 35.20/35.46 (step @p392 :rule nary_cong :premises (@p378 @p391) :args ((or @t341 (not (and @t22 @t21 @t13 @t65 @t73))))) % 35.20/35.46 (step @p393 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t13 @t65 @t73))) % 35.20/35.46 (step @p394 :rule trans :premises (@p393 @p392)) % 35.20/35.46 (step @p395 :rule nary_cong :premises (@p135 @p394) :args ((or @t206 (not (and @t24 @t22 @t21 @t13 @t65 @t73))))) % 35.20/35.46 (step @p396 :rule bool-and-de-morgan :args (@t28 @t24 (and @t22 @t21 @t13 @t65 @t73))) % 35.20/35.46 (step @p397 :rule trans :premises (@p396 @p395)) % 35.20/35.46 (step @p398 :rule trans :premises (@p397 @p381)) % 35.20/35.46 (step @p399 :rule nary_cong :premises (@p398 @p373) :args ((or (not @t152) @t151))) % 35.20/35.46 (step @p400 :rule trans :premises (@p399 @p372)) % 35.20/35.46 (step @p401 :rule bool-impl-elim :args (@t152 @t151)) % 35.20/35.46 (step @p402 :rule trans :premises (@p401 @p400)) % 35.20/35.46 (step @p403 :rule cong :premises (@p402) :args (@t153)) % 35.20/35.46 (step @p404 :rule eq_resolve :premises (@p97 @p403)) % 35.20/35.46 (step @p405 :rule instantiate :premises (@p404) :args (@t343)) % 35.20/35.46 (step @p406 :rule and_elim :premises (@p256) :args (7)) % 35.20/35.46 (step @p407 :rule instantiate :premises (@p406) :args (@t188)) % 35.20/35.46 (step @p408 :rule and_elim :premises (@p256) :args (6)) % 35.20/35.46 (step @p409 :rule instantiate :premises (@p408) :args (@t188)) % 35.20/35.46 (step @p410 :rule and_elim :premises (@p256) :args (4)) % 35.20/35.46 (step @p411 :rule instantiate :premises (@p410) :args (@t188)) % 35.20/35.46 (step @p412 :rule cnf_or_pos :args (@t352)) % 35.20/35.46 (step @p413 :rule reordering :premises (@p412) :args ((or @t278 @t275 @t351 @t349 @t347 @t315 @t309 @t345 (not @t352)))) % 35.20/35.46 (step @p414 :rule chain_m_resolution :premises (@p413 @p260 @p235 @p411 @p409 @p407 @p325 @p310 @p405) :args (@t345 (@list true false false false false false false false) (@list @t278 @t274 @t350 @t348 @t346 @t312 @t306 @t352))) % 35.20/35.46 (step @p415 :rule cnf_equiv_pos2 :args (@t345)) % 35.20/35.46 (step @p416 :rule reordering :premises (@p415) :args ((or @t344 @t354 @t353))) % 35.20/35.46 (step @p417 :rule aci_norm :args ((= @t361 (or @t27 @t193 @t192 @t359 @t358 @t357)))) % 35.20/35.46 (step @p418 :rule cong :premises (@p417) :args (@t362)) % 35.20/35.46 (step @p419 :rule quant-merge-prenex :args ((= (forall @t8 @t364) @t362))) % 35.20/35.46 (step @p420 :rule alpha_equiv :args (@t365 (@list @t356 @t355) (@list @t14 @t366))) % 35.20/35.46 (step @p421 :rule nary_cong :premises (@p120 @p119 @p118 @p420) :args (@t367)) % 35.20/35.46 (step @p422 :rule quant-miniscope-or :args ((= @t364 @t367))) % 35.20/35.46 (step @p423 :rule trans :premises (@p422 @p421)) % 35.20/35.46 (step @p424 :rule symm :premises (@p423)) % 35.20/35.46 (step @p425 :rule cong :premises (@p424) :args ((forall @t8 @t373))) % 35.20/35.46 (step @p426 :rule trans :premises (@p425 @p419)) % 35.20/35.46 (step @p427 :rule trans :premises (@p426 @p418)) % 35.20/35.46 (step @p428 :rule aci_norm :args ((= (or @t205 @t372) @t373))) % 35.20/35.46 (step @p429 :rule refl :args (@t372)) % 35.20/35.46 (step @p430 :rule nary_cong :premises (@p139 @p429) :args ((or @t208 @t372))) % 35.20/35.46 (step @p431 :rule trans :premises (@p430 @p428)) % 35.20/35.46 (step @p432 :rule bool-impl-elim :args (@t60 @t372)) % 35.20/35.46 (step @p433 :rule trans :premises (@p432 @p431)) % 35.20/35.46 (step @p434 :rule cong :premises (@p433) :args ((forall @t8 (=> @t60 @t372)))) % 35.20/35.46 (step @p435 :rule trans :premises (@p434 @p427)) % 35.20/35.46 (step @p436 :rule aci_norm :args ((= @t375 @t370))) % 35.20/35.46 (step @p437 :rule cong :premises (@p436) :args (@t376)) % 35.20/35.46 (step @p438 :rule quant-merge-prenex :args ((= (forall @t67 @t378) @t376))) % 35.20/35.46 (step @p439 :rule alpha_equiv :args (@t379 (@list @t366) @t217)) % 35.20/35.46 (step @p440 :rule nary_cong :premises (@p375 @p439) :args (@t380)) % 35.20/35.46 (step @p441 :rule quant-miniscope-or :args ((= @t378 @t380))) % 35.20/35.46 (step @p442 :rule trans :premises (@p441 @p440)) % 35.20/35.46 (step @p443 :rule symm :premises (@p442)) % 35.20/35.46 (step @p444 :rule cong :premises (@p443) :args ((forall @t67 (or @t202 @t381)))) % 35.20/35.46 (step @p445 :rule trans :premises (@p444 @p438)) % 35.20/35.46 (step @p446 :rule trans :premises (@p445 @p437)) % 35.20/35.46 (step @p447 :rule bool-impl-elim :args (@t65 @t381)) % 35.20/35.46 (step @p448 :rule cong :premises (@p447) :args ((forall @t67 (=> @t65 @t381)))) % 35.20/35.46 (step @p449 :rule trans :premises (@p448 @p446)) % 35.20/35.46 (step @p450 :rule bool-impl-elim :args (@t73 @t174)) % 35.20/35.46 (step @p451 :rule cong :premises (@p450) :args (@t175)) % 35.20/35.46 (step @p452 :rule cong :premises (@p149 @p451) :args (@t176)) % 35.20/35.46 (step @p453 :rule cong :premises (@p452) :args (@t177)) % 35.20/35.46 (step @p454 :rule trans :premises (@p453 @p449)) % 35.20/35.46 (step @p455 :rule cong :premises (@p153 @p454) :args (@t178)) % 35.20/35.46 (step @p456 :rule cong :premises (@p455) :args (@t179)) % 35.20/35.46 (step @p457 :rule trans :premises (@p456 @p435)) % 35.20/35.46 (step @p458 :rule eq_resolve :premises (@p111 @p457)) % 35.20/35.46 (step @p459 :rule instantiate :premises (@p458) :args (@t343)) % 35.20/35.46 (step @p460 :rule cnf_or_pos :args (@t384)) % 35.20/35.46 (step @p461 :rule reordering :premises (@p460) :args ((or @t278 @t277 @t275 @t315 @t309 @t383 (not @t384)))) % 35.20/35.46 (step @p462 :rule chain_m_resolution :premises (@p461 @p260 @p258 @p235 @p325 @p310 @p459) :args (@t383 (@list true false false false false false) (@list @t278 @t276 @t274 @t312 @t306 @t384))) % 35.20/35.46 (step @p463 :rule cnf_equiv_pos1 :args (@t383)) % 35.20/35.46 (step @p464 :rule reordering :premises (@p463) :args ((or @t382 @t386 @t385))) % 35.20/35.46 (step @p465 :rule refl :args (@t387)) % 35.20/35.46 (step @p466 :rule refl :args (@t388)) % 35.20/35.46 (step @p467 :rule refl :args (@t389)) % 35.20/35.46 (step @p468 :rule refl :args (@t391)) % 35.20/35.46 (step @p469 :rule bool-double-not-elim :args (@t225)) % 35.20/35.46 (step @p470 :rule nary_cong :premises (@p469 @p468 @p467 @p466 @p465) :args ((or (not @t392) @t391 @t389 @t388 @t387))) % 35.20/35.46 (assume-push @p544 @t392) % 35.20/35.46 (assume-push @p545 @t390) % 35.20/35.46 (assume-push @p546 @t314) % 35.20/35.46 (assume-push @p547 @t308) % 35.20/35.46 (assume-push @p548 @t392) % 35.20/35.46 (assume-push @p549 @t390) % 35.20/35.46 (assume-push @p550 @t314) % 35.20/35.46 (assume-push @p551 @t308) % 35.20/35.46 (step @p479 :rule false_intro :premises (@p544)) % 35.20/35.46 (step @p480 :rule symm :premises (@p313)) % 35.20/35.46 (step @p481 :rule symm :premises (@p328)) % 35.20/35.46 (step @p482 :rule symm :premises (@p113)) % 35.20/35.46 (step @p483 :rule cong :premises (@p482 @p481 @p480) :args (@t382)) % 35.20/35.46 (step @p484 :rule trans :premises (@p483 @p479)) % 35.20/35.46 (step @p485 :rule false_elim :premises (@p484)) % 35.20/35.46 (step-pop @p552 :rule scope :premises (@p485)) % 35.20/35.46 (step-pop @p553 :rule scope :premises (@p552)) % 35.20/35.46 (step-pop @p554 :rule scope :premises (@p553)) % 35.20/35.46 (step-pop @p555 :rule scope :premises (@p554)) % 35.20/35.46 (step @p486 :rule process_scope :premises (@p555) :args (@t387)) % 35.20/35.46 (step @p491 :rule and_intro :premises (@p544 @p113 @p328 @p313)) % 35.20/35.46 (step @p492 :rule modus_ponens :premises (@p491 @p486)) % 35.20/35.46 (step-pop @p556 :rule scope :premises (@p492)) % 35.20/35.46 (step-pop @p557 :rule scope :premises (@p556)) % 35.20/35.46 (step-pop @p558 :rule scope :premises (@p557)) % 35.20/35.46 (step-pop @p559 :rule scope :premises (@p558)) % 35.20/35.46 (step @p493 :rule process_scope :premises (@p559) :args (@t387)) % 35.20/35.46 (step @p498 :rule implies_elim :premises (@p493)) % 35.20/35.46 (step @p499 :rule cnf_and_neg :args (@t393)) % 35.20/35.46 (step @p500 :rule resolution :premises (@p499 @p498) :args (true @t393)) % 35.20/35.46 (step @p501 :rule eq_resolve :premises (@p500 @p470)) % 35.20/35.46 (step @p502 :rule chain_m_resolution :premises (@p501 @p328 @p313 @p113 @p464 @p462 @p416 @p414 @p371 @p369 @p331 @p330) :args (@t337 (@list false false false false false false false false false true true) (@list @t314 @t308 @t390 @t382 @t383 @t344 @t345 @t331 @t334 @t225 @t227))) % 35.20/35.46 (step @p503 :rule cnf_equiv_neg1 :args (@t227)) % 35.20/35.46 (step @p504 :rule reordering :premises (@p503) :args ((or @t226 @t225 @t227))) % 35.20/35.46 (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p330) :args (@t225 (@list true true) (@list @t226 @t227))) % 35.20/35.46 (step @p506 :rule cnf_equiv_pos2 :args (@t334)) % 35.20/35.46 (step @p507 :rule reordering :premises (@p506) :args ((or @t226 @t354 @t336))) % 35.20/35.46 (step @p508 :rule chain_m_resolution :premises (@p507 @p502 @p369) :args (@t354 @t394 (@list @t226 @t334))) % 35.20/35.46 (step @p509 :rule cnf_equiv_pos1 :args (@t345)) % 35.20/35.46 (step @p510 :rule reordering :premises (@p509) :args ((or @t331 @t386 @t353))) % 35.20/35.46 (step @p511 :rule chain_m_resolution :premises (@p510 @p508 @p414) :args (@t386 @t394 (@list @t331 @t345))) % 35.20/35.46 (step @p512 :rule cnf_equiv_pos2 :args (@t383)) % 35.20/35.46 (step @p513 :rule reordering :premises (@p512) :args ((or @t344 @t387 @t385))) % 35.20/35.46 (step @p514 :rule chain_m_resolution :premises (@p513 @p511 @p462) :args (@t387 @t394 (@list @t344 @t383))) % 35.20/35.46 (assume-push @p560 @t225) % 35.20/35.46 (assume-push @p561 @t390) % 35.20/35.46 (assume-push @p562 @t314) % 35.20/35.46 (assume-push @p563 @t308) % 35.20/35.46 (assume-push @p564 @t225) % 35.20/35.46 (assume-push @p565 @t390) % 35.20/35.46 (assume-push @p566 @t314) % 35.20/35.46 (assume-push @p567 @t308) % 35.20/35.46 (step @p523 :rule true_intro :premises (@p560)) % 35.20/35.46 (step @p480 :rule symm :premises (@p313)) % 35.20/35.46 (step @p481 :rule symm :premises (@p328)) % 35.20/35.46 (step @p482 :rule symm :premises (@p113)) % 35.20/35.46 (step @p483 :rule cong :premises (@p482 @p481 @p480) :args (@t382)) % 35.20/35.46 (step @p524 :rule trans :premises (@p483 @p523)) % 35.20/35.46 (step @p525 :rule true_elim :premises (@p524)) % 35.20/35.46 (step-pop @p568 :rule scope :premises (@p525)) % 35.20/35.46 (step-pop @p569 :rule scope :premises (@p568)) % 35.20/35.46 (step-pop @p570 :rule scope :premises (@p569)) % 35.20/35.46 (step-pop @p571 :rule scope :premises (@p570)) % 35.20/35.46 (step @p526 :rule process_scope :premises (@p571) :args (@t382)) % 35.20/35.46 (step @p531 :rule and_intro :premises (@p560 @p113 @p328 @p313)) % 35.20/35.46 (step @p532 :rule modus_ponens :premises (@p531 @p526)) % 35.20/35.46 (step-pop @p572 :rule scope :premises (@p532)) % 35.20/35.46 (step-pop @p573 :rule scope :premises (@p572)) % 35.20/35.46 (step-pop @p574 :rule scope :premises (@p573)) % 35.20/35.46 (step-pop @p575 :rule scope :premises (@p574)) % 35.20/35.46 (step @p533 :rule process_scope :premises (@p575) :args (@t382)) % 35.20/35.46 (step @p538 :rule implies_elim :premises (@p533)) % 35.20/35.46 (step @p539 :rule cnf_and_neg :args (@t395)) % 35.20/35.46 (step @p540 :rule resolution :premises (@p539 @p538) :args (true @t395)) % 35.20/35.46 (step @p541 false :rule chain_m_resolution :premises (@p540 @p514 @p505 @p328 @p313 @p113) :args (false @t311 (@list @t382 @t225 @t314 @t308 @t390))) % 35.20/35.46 ) % 35.20/35.46 % SZS output end Proof % 35.20/35.46 % cvc5 exiting %------------------------------------------------------------------------------