%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU371+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 : n010.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 08:51:33 AM UTC 2026 % Result : Theorem 17.31s 17.54s % Output : Proof 17.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU371+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:03:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 17.31/17.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.31/17.54 --- Run --no-e-matching --full-saturate-quant at 6... % 17.31/17.54 % SZS status Theorem % 17.31/17.54 % SZS output start Proof % 17.31/17.54 ( % 17.31/17.54 (declare-sort $$unsorted 0) % 17.31/17.54 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.relation (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.function (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.boolean_lattstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.lattice (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.bottom_of_relstr (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.bounded_lattstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.upper_bounded_semilattstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.empty (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.complemented_lattstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.distributive_lattstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.modular_lattstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.empty_set $$unsorted) % 17.31/17.54 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.54 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.transitive (-> $$unsorted Bool)) % 17.31/17.54 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 17.31/17.54 (define @t1 () (@var "A" $$unsorted)) % 17.31/17.54 (define @t2 () (tptp.the_InternalRel @t1)) % 17.31/17.54 (define @t3 () (tptp.the_carrier @t1)) % 17.31/17.54 (define @t4 () (tptp.strict_rel_str @t1)) % 17.31/17.54 (define @t5 () (tptp.rel_str @t1)) % 17.31/17.54 (define @t6 () (@list @t1)) % 17.31/17.54 (define @t7 () (tptp.the_L_meet @t1)) % 17.31/17.54 (define @t8 () (tptp.the_L_join @t1)) % 17.31/17.54 (define @t9 () (tptp.strict_latt_str @t1)) % 17.31/17.54 (define @t10 () (tptp.latt_str @t1)) % 17.31/17.54 (define @t11 () (@var "B" $$unsorted)) % 17.31/17.54 (define @t12 () (tptp.in @t1 @t11)) % 17.31/17.54 (define @t13 () (@list @t1 @t11)) % 17.31/17.54 (define @t14 () (tptp.bounded_lattstr @t1)) % 17.31/17.54 (define @t15 () (tptp.upper_bounded_semilattstr @t1)) % 17.31/17.54 (define @t16 () (tptp.lower_bounded_semilattstr @t1)) % 17.31/17.54 (define @t17 () (tptp.lattice @t1)) % 17.31/17.54 (define @t18 () (tptp.join_absorbing @t1)) % 17.31/17.54 (define @t19 () (tptp.meet_absorbing @t1)) % 17.31/17.54 (define @t20 () (tptp.meet_associative @t1)) % 17.31/17.54 (define @t21 () (tptp.meet_commutative @t1)) % 17.31/17.54 (define @t22 () (tptp.join_associative @t1)) % 17.31/17.54 (define @t23 () (tptp.join_commutative @t1)) % 17.31/17.54 (define @t24 () (tptp.empty_carrier @t1)) % 17.31/17.54 (define @t25 () (not @t24)) % 17.31/17.54 (define @t26 () (tptp.complete_latt_str @t1)) % 17.31/17.54 (define @t27 () (tptp.with_suprema_relstr @t1)) % 17.31/17.54 (define @t28 () (and @t25 @t23 @t22 @t21 @t20 @t19 @t18)) % 17.31/17.54 (define @t29 () (and @t25 @t17)) % 17.31/17.54 (define @t30 () (@var "C" $$unsorted)) % 17.31/17.54 (define @t31 () (tptp.relation @t30)) % 17.31/17.54 (define @t32 () (tptp.cartesian_product2 @t1 @t11)) % 17.31/17.54 (define @t33 () (tptp.element @t30 (tptp.powerset @t32))) % 17.31/17.54 (define @t34 () (@list @t1 @t11 @t30)) % 17.31/17.54 (define @t35 () (tptp.with_infima_relstr @t1)) % 17.31/17.54 (define @t36 () (tptp.complete_relstr @t1)) % 17.31/17.54 (define @t37 () (and @t25 @t36)) % 17.31/17.54 (define @t38 () (and @t25 @t14)) % 17.31/17.54 (define @t39 () (and @t25 @t16 @t15)) % 17.31/17.54 (define @t40 () (tptp.bounded_relstr @t1)) % 17.31/17.54 (define @t41 () (tptp.upper_bounded_relstr @t1)) % 17.31/17.54 (define @t42 () (tptp.lower_bounded_relstr @t1)) % 17.31/17.54 (define @t43 () (and @t42 @t41)) % 17.31/17.54 (define @t44 () (tptp.complemented_lattstr @t1)) % 17.31/17.54 (define @t45 () (tptp.distributive_lattstr @t1)) % 17.31/17.54 (define @t46 () (tptp.boolean_lattstr @t1)) % 17.31/17.54 (define @t47 () (and @t25 @t46)) % 17.31/17.54 (define @t48 () (tptp.modular_lattstr @t1)) % 17.31/17.54 (define @t49 () (tptp.bottom_of_relstr @t1)) % 17.31/17.54 (define @t50 () (= @t49 (tptp.join_on_relstr @t1 tptp.empty_set))) % 17.31/17.54 (define @t51 () (forall @t6 (=> @t5 @t50))) % 17.31/17.54 (define @t52 () (tptp.meet_of_latt_set @t1 @t11)) % 17.31/17.54 (define @t53 () (@list @t11)) % 17.31/17.54 (define @t54 () (and @t25 @t10)) % 17.31/17.54 (define @t55 () (tptp.k2_lattice3 @t1)) % 17.31/17.54 (define @t56 () (tptp.poset_of_lattice @t1)) % 17.31/17.54 (define @t57 () (and @t25 @t17 @t10)) % 17.31/17.54 (define @t58 () (tptp.boole_lattice @t1)) % 17.31/17.54 (define @t59 () (tptp.boole_POSet @t1)) % 17.31/17.54 (define @t60 () (tptp.rel_str_of @t1 @t11)) % 17.31/17.54 (define @t61 () (tptp.strict_rel_str @t60)) % 17.31/17.54 (define @t62 () (tptp.relation_of2 @t11 @t1 @t1)) % 17.31/17.54 (define @t63 () (tptp.latt_str_of @t1 @t11 @t30)) % 17.31/17.54 (define @t64 () (tptp.strict_latt_str @t63)) % 17.31/17.54 (define @t65 () (tptp.cartesian_product2 @t1 @t1)) % 17.31/17.54 (define @t66 () (tptp.relation_of2 @t30 @t65 @t1)) % 17.31/17.54 (define @t67 () (tptp.quasi_total @t30 @t65 @t1)) % 17.31/17.54 (define @t68 () (tptp.function @t30)) % 17.31/17.54 (define @t69 () (tptp.relation_of2 @t11 @t65 @t1)) % 17.31/17.54 (define @t70 () (tptp.quasi_total @t11 @t65 @t1)) % 17.31/17.54 (define @t71 () (tptp.function @t11)) % 17.31/17.54 (define @t72 () (and @t71 @t70 @t69 @t68 @t67 @t66)) % 17.31/17.54 (define @t73 () (tptp.join_of_latt_set @t1 @t11)) % 17.31/17.54 (define @t74 () (tptp.latt_str @t58)) % 17.31/17.54 (define @t75 () (tptp.strict_latt_str @t58)) % 17.31/17.54 (define @t76 () (forall @t6 (and @t75 @t74))) % 17.31/17.54 (define @t77 () (tptp.antisymmetric_relstr @t56)) % 17.31/17.54 (define @t78 () (tptp.transitive_relstr @t56)) % 17.31/17.54 (define @t79 () (tptp.reflexive_relstr @t56)) % 17.31/17.54 (define @t80 () (tptp.strict_rel_str @t56)) % 17.31/17.54 (define @t81 () (tptp.rel_str @t59)) % 17.31/17.54 (define @t82 () (tptp.strict_rel_str @t59)) % 17.31/17.54 (define @t83 () (forall @t6 (and @t82 @t81))) % 17.31/17.54 (define @t84 () (tptp.bottom_of_semilattstr @t1)) % 17.31/17.54 (define @t85 () (tptp.meet_semilatt_str @t1)) % 17.31/17.54 (define @t86 () (tptp.relation_of_lattice @t1)) % 17.31/17.54 (define @t87 () (tptp.one_sorted_str @t1)) % 17.31/17.54 (define @t88 () (tptp.join_semilatt_str @t1)) % 17.31/17.54 (define @t89 () (tptp.relation_of2_as_subset @t30 @t1 @t11)) % 17.31/17.54 (define @t90 () (tptp.cartesian_product2 @t3 @t3)) % 17.31/17.54 (define @t91 () (tptp.relation_of2 @t30 @t1 @t11)) % 17.31/17.54 (define @t92 () (@list @t30)) % 17.31/17.54 (define @t93 () (tptp.complete_latt_str @t58)) % 17.31/17.54 (define @t94 () (tptp.boolean_lattstr @t58)) % 17.31/17.54 (define @t95 () (tptp.complemented_lattstr @t58)) % 17.31/17.54 (define @t96 () (tptp.bounded_lattstr @t58)) % 17.31/17.54 (define @t97 () (tptp.upper_bounded_semilattstr @t58)) % 17.31/17.54 (define @t98 () (tptp.lower_bounded_semilattstr @t58)) % 17.31/17.54 (define @t99 () (tptp.modular_lattstr @t58)) % 17.31/17.54 (define @t100 () (tptp.distributive_lattstr @t58)) % 17.31/17.54 (define @t101 () (tptp.lattice @t58)) % 17.31/17.54 (define @t102 () (tptp.join_absorbing @t58)) % 17.31/17.54 (define @t103 () (tptp.meet_absorbing @t58)) % 17.31/17.54 (define @t104 () (tptp.meet_associative @t58)) % 17.31/17.54 (define @t105 () (tptp.meet_commutative @t58)) % 17.31/17.54 (define @t106 () (tptp.join_associative @t58)) % 17.31/17.54 (define @t107 () (tptp.join_commutative @t58)) % 17.31/17.54 (define @t108 () (not (tptp.empty_carrier @t58))) % 17.31/17.54 (define @t109 () (forall @t6 (and @t108 @t75 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93))) % 17.31/17.54 (define @t110 () (tptp.empty @t1)) % 17.31/17.54 (define @t111 () (not @t110)) % 17.31/17.54 (define @t112 () (and @t25 @t87)) % 17.31/17.54 (define @t113 () (tptp.powerset @t1)) % 17.31/17.54 (define @t114 () (tptp.with_infima_relstr @t56)) % 17.31/17.54 (define @t115 () (tptp.with_suprema_relstr @t56)) % 17.31/17.54 (define @t116 () (not (tptp.empty_carrier @t56))) % 17.31/17.54 (define @t117 () (tptp.antisymmetric_relstr @t1)) % 17.31/17.54 (define @t118 () (tptp.transitive_relstr @t1)) % 17.31/17.54 (define @t119 () (tptp.reflexive_relstr @t1)) % 17.31/17.54 (define @t120 () (tptp.upper_bounded_relstr @t56)) % 17.31/17.54 (define @t121 () (tptp.lower_bounded_relstr @t56)) % 17.31/17.54 (define @t122 () (tptp.empty @t11)) % 17.31/17.54 (define @t123 () (not @t122)) % 17.31/17.54 (define @t124 () (and @t25 @t17 @t26 @t10)) % 17.31/17.54 (define @t125 () (tptp.antisymmetric_relstr @t59)) % 17.31/17.54 (define @t126 () (tptp.transitive_relstr @t59)) % 17.31/17.54 (define @t127 () (tptp.reflexive_relstr @t59)) % 17.31/17.54 (define @t128 () (not (tptp.empty_carrier @t59))) % 17.31/17.54 (define @t129 () (@var "D" $$unsorted)) % 17.31/17.54 (define @t130 () (= @t1 @t129)) % 17.31/17.54 (define @t131 () (@var "F" $$unsorted)) % 17.31/17.54 (define @t132 () (@var "E" $$unsorted)) % 17.31/17.54 (define @t133 () (tptp.element @t11 @t113)) % 17.31/17.54 (define @t134 () (tptp.bottom_of_relstr @t59)) % 17.31/17.54 (define @t135 () (forall @t6 (= @t134 tptp.empty_set))) % 17.31/17.54 (define @t136 () (not @t135)) % 17.31/17.54 (define @t137 () (tptp.element @t1 @t11)) % 17.31/17.54 (define @t138 () (= @t52 (tptp.meet_on_relstr @t56 @t11))) % 17.31/17.54 (define @t139 () (= @t73 (tptp.join_on_relstr @t56 @t11))) % 17.31/17.54 (define @t140 () (forall @t53 (and @t139 @t138))) % 17.31/17.54 (define @t141 () (=> @t124 @t140)) % 17.31/17.54 (define @t142 () (forall @t6 @t141)) % 17.31/17.54 (define @t143 () (= @t1 @t11)) % 17.31/17.54 (define @t144 () (tptp.bottom_of_semilattstr @t58)) % 17.31/17.54 (define @t145 () (and @t98 (= @t144 tptp.empty_set))) % 17.31/17.54 (define @t146 () (forall @t6 @t145)) % 17.31/17.54 (define @t147 () (tptp.element @t11 (tptp.powerset @t30))) % 17.31/17.54 (define @t148 () (and @t25 @t17 @t16 @t10 (= @t84 (tptp.join_of_latt_set @t1 tptp.empty_set)))) % 17.31/17.54 (define @t149 () (forall @t6 (=> @t124 @t148))) % 17.31/17.54 (define @t150 () (@quantifiers_skolemize (forall @t6 (= tptp.empty_set @t134)) 0)) % 17.31/17.54 (define @t151 () (@list @t150)) % 17.31/17.54 (define @t152 () (= tptp.empty_set @t144)) % 17.31/17.54 (define @t153 () (forall @t6 @t152)) % 17.31/17.54 (define @t154 () (@list @t1)) % 17.31/17.54 (define @t155 () (forall @t6 @t98)) % 17.31/17.54 (define @t156 () (and @t155 @t153)) % 17.31/17.54 (define @t157 () (tptp.boole_POSet @t150)) % 17.31/17.54 (define @t158 () (forall @t6 @t81)) % 17.31/17.54 (define @t159 () (forall @t6 @t82)) % 17.31/17.54 (define @t160 () (and @t159 @t158)) % 17.31/17.54 (define @t161 () (tptp.bottom_of_relstr @t157)) % 17.31/17.54 (define @t162 () (= @t161 (tptp.join_on_relstr @t157 tptp.empty_set))) % 17.31/17.54 (define @t163 () (tptp.rel_str @t157)) % 17.31/17.54 (define @t164 () (not @t163)) % 17.31/17.54 (define @t165 () (or @t164 @t162)) % 17.31/17.54 (define @t166 () (@var "BOUND_VARIABLE_8980" $$unsorted)) % 17.31/17.54 (define @t167 () (= (tptp.meet_of_latt_set @t1 @t166) (tptp.meet_on_relstr @t56 @t166))) % 17.31/17.54 (define @t168 () (@var "BOUND_VARIABLE_8975" $$unsorted)) % 17.31/17.54 (define @t169 () (= (tptp.join_of_latt_set @t1 @t168) (tptp.join_on_relstr @t56 @t168))) % 17.31/17.54 (define @t170 () (and @t169 @t167)) % 17.31/17.54 (define @t171 () (not @t10)) % 17.31/17.54 (define @t172 () (not @t26)) % 17.31/17.54 (define @t173 () (not @t17)) % 17.31/17.54 (define @t174 () (or @t24 @t173 @t172 @t171 @t170)) % 17.31/17.54 (define @t175 () (@list @t168 @t166)) % 17.31/17.54 (define @t176 () (forall @t175 @t174)) % 17.31/17.54 (define @t177 () (forall (@list @t166) @t167)) % 17.31/17.54 (define @t178 () (@var "BOUND_VARIABLE_8963" $$unsorted)) % 17.31/17.54 (define @t179 () (@list @t178)) % 17.31/17.54 (define @t180 () (forall @t175 @t167)) % 17.31/17.54 (define @t181 () (forall (@list @t168) @t169)) % 17.31/17.54 (define @t182 () (@var "BOUND_VARIABLE_8956" $$unsorted)) % 17.31/17.54 (define @t183 () (@list @t182)) % 17.31/17.54 (define @t184 () (forall @t175 @t169)) % 17.31/17.54 (define @t185 () (and @t184 @t180)) % 17.31/17.54 (define @t186 () (forall @t175 @t170)) % 17.31/17.54 (define @t187 () (or @t24 @t173 @t172 @t171 @t186)) % 17.31/17.54 (define @t188 () (and (forall (@list @t182) (= (tptp.join_of_latt_set @t1 @t182) (tptp.join_on_relstr @t56 @t182))) (forall (@list @t178) (= (tptp.meet_of_latt_set @t1 @t178) (tptp.meet_on_relstr @t56 @t178))))) % 17.31/17.54 (define @t189 () (or @t24 @t173 @t172 @t171 @t188)) % 17.31/17.54 (define @t190 () (or @t24 @t173 @t172 @t171)) % 17.31/17.54 (define @t191 () (not @t25)) % 17.31/17.54 (define @t192 () (or @t191 @t173 @t172 @t171)) % 17.31/17.54 (define @t193 () (not @t124)) % 17.31/17.54 (define @t194 () (forall @t53 @t138)) % 17.31/17.54 (define @t195 () (@list @t11)) % 17.31/17.54 (define @t196 () (forall @t53 @t139)) % 17.31/17.54 (define @t197 () (and @t196 @t194)) % 17.31/17.54 (define @t198 () (tptp.boole_lattice @t150)) % 17.31/17.54 (define @t199 () (forall @t6 @t93)) % 17.31/17.54 (define @t200 () (forall @t6 @t94)) % 17.31/17.54 (define @t201 () (forall @t6 @t95)) % 17.31/17.54 (define @t202 () (forall @t6 @t96)) % 17.31/17.54 (define @t203 () (forall @t6 @t97)) % 17.31/17.54 (define @t204 () (forall @t6 @t99)) % 17.31/17.54 (define @t205 () (forall @t6 @t100)) % 17.31/17.54 (define @t206 () (forall @t6 @t101)) % 17.31/17.54 (define @t207 () (forall @t6 @t102)) % 17.31/17.54 (define @t208 () (forall @t6 @t103)) % 17.31/17.54 (define @t209 () (forall @t6 @t104)) % 17.31/17.54 (define @t210 () (forall @t6 @t105)) % 17.31/17.54 (define @t211 () (forall @t6 @t106)) % 17.31/17.54 (define @t212 () (forall @t6 @t107)) % 17.31/17.54 (define @t213 () (forall @t6 @t75)) % 17.31/17.54 (define @t214 () (forall @t6 @t108)) % 17.31/17.54 (define @t215 () (and @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t155 @t203 @t202 @t201 @t200 @t199)) % 17.31/17.54 (define @t216 () (forall @t6 @t74)) % 17.31/17.54 (define @t217 () (and @t213 @t216)) % 17.31/17.54 (define @t218 () (tptp.poset_of_lattice @t198)) % 17.31/17.54 (define @t219 () (tptp.join_on_relstr @t218 tptp.empty_set)) % 17.31/17.54 (define @t220 () (tptp.join_of_latt_set @t198 tptp.empty_set)) % 17.31/17.54 (define @t221 () (= @t220 @t219)) % 17.31/17.54 (define @t222 () (and @t221 (= (tptp.meet_of_latt_set @t198 tptp.empty_set) (tptp.meet_on_relstr @t218 tptp.empty_set)))) % 17.31/17.54 (define @t223 () (tptp.latt_str @t198)) % 17.31/17.54 (define @t224 () (not @t223)) % 17.31/17.54 (define @t225 () (tptp.complete_latt_str @t198)) % 17.31/17.54 (define @t226 () (not @t225)) % 17.31/17.54 (define @t227 () (tptp.lattice @t198)) % 17.31/17.54 (define @t228 () (not @t227)) % 17.31/17.54 (define @t229 () (tptp.empty_carrier @t198)) % 17.31/17.54 (define @t230 () (or @t229 @t228 @t226 @t224 @t222)) % 17.31/17.54 (define @t231 () (@list true false false false false)) % 17.31/17.54 (define @t232 () (@list false)) % 17.31/17.54 (define @t233 () (tptp.bottom_of_semilattstr @t198)) % 17.31/17.54 (define @t234 () (= @t233 @t220)) % 17.31/17.54 (define @t235 () (and (not @t229) @t227 (tptp.lower_bounded_semilattstr @t198) @t223 @t234)) % 17.31/17.54 (define @t236 () (or @t229 @t228 @t226 @t224 @t235)) % 17.31/17.54 (define @t237 () (not @t234)) % 17.31/17.54 (define @t238 () (not @t221)) % 17.31/17.54 (define @t239 () (not @t162)) % 17.31/17.54 (define @t240 () (= tptp.empty_set @t233)) % 17.31/17.54 (define @t241 () (not @t240)) % 17.31/17.54 (define @t242 () (= @t157 @t218)) % 17.31/17.54 (define @t243 () (not @t242)) % 17.31/17.54 (define @t244 () (= tptp.empty_set @t161)) % 17.31/17.54 (define @t245 () (not @t244)) % 17.31/17.54 (define @t246 () (and @t245 @t242 @t240 @t162 @t221)) % 17.31/17.54 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 17.31/17.54 (assume @p2 (forall @t6 (=> @t10 (=> @t9 (= @t1 (tptp.latt_str_of @t3 @t8 @t7)))))) % 17.31/17.54 (assume @p3 (forall @t13 (=> @t12 (not (tptp.in @t11 @t1))))) % 17.31/17.54 (assume @p4 (forall @t6 (=> @t10 (=> (and @t25 @t17 @t26) (and @t25 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t15 @t14))))) % 17.31/17.54 (assume @p5 (forall @t6 (=> @t5 (=> @t27 @t25)))) % 17.31/17.54 (assume @p6 (forall @t6 (=> @t10 (=> @t29 @t28)))) % 17.31/17.54 (assume @p7 (forall @t34 (=> @t33 @t31))) % 17.31/17.54 (assume @p8 (forall @t6 (=> @t5 (=> @t37 (and @t25 @t27 @t35))))) % 17.31/17.54 (assume @p9 (forall @t6 (=> @t5 (=> @t35 @t25)))) % 17.31/17.54 (assume @p10 (forall @t6 (=> @t10 (=> @t28 @t29)))) % 17.31/17.54 (assume @p11 (forall @t6 (=> @t10 (=> @t39 @t38)))) % 17.31/17.54 (assume @p12 (forall @t6 (=> @t5 (=> @t37 (and @t25 @t40))))) % 17.31/17.54 (assume @p13 (forall @t6 (=> @t10 (=> @t38 @t39)))) % 17.31/17.54 (assume @p14 (forall @t6 (=> @t5 (=> @t40 @t43)))) % 17.31/17.54 (assume @p15 (forall @t6 (=> @t10 (=> @t47 (and @t25 @t45 @t16 @t15 @t14 @t44))))) % 17.31/17.54 (assume @p16 (forall @t6 (=> @t5 (=> @t43 @t40)))) % 17.31/17.54 (assume @p17 (forall @t6 (=> @t10 (=> (and @t25 @t45 @t14 @t44) @t47)))) % 17.31/17.54 (assume @p18 (forall @t6 (=> @t10 (=> (and @t25 @t17 @t45) (and @t25 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t48))))) % 17.31/17.54 (assume @p19 @t51) % 17.31/17.54 (assume @p20 (forall @t6 (=> @t54 (forall @t53 (= @t52 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t11))))))) % 17.31/17.54 (assume @p21 (forall @t6 (=> @t57 (= @t56 (tptp.rel_str_of @t3 @t55))))) % 17.31/17.54 (assume @p22 (forall @t6 (= @t59 (tptp.poset_of_lattice @t58)))) % 17.31/17.54 (assume @p23 (forall @t13 (=> @t62 (and @t61 (tptp.rel_str @t60))))) % 17.31/17.54 (assume @p24 (forall @t34 (=> @t72 (and @t64 (tptp.latt_str @t63))))) % 17.31/17.54 (assume @p25 (forall @t13 (=> @t54 (tptp.element @t73 @t3)))) % 17.31/17.54 (assume @p26 (forall @t13 (=> @t54 (tptp.element @t52 @t3)))) % 17.31/17.54 (assume @p27 @t76) % 17.31/17.54 (assume @p28 true) % 17.31/17.54 (assume @p29 (forall @t13 (=> @t5 (tptp.element (tptp.join_on_relstr @t1 @t11) @t3)))) % 17.31/17.54 (assume @p30 (forall @t6 (=> @t57 (and (tptp.reflexive @t55) (tptp.antisymmetric @t55) (tptp.transitive @t55) (tptp.v1_partfun1 @t55 @t3 @t3) (tptp.relation_of2_as_subset @t55 @t3 @t3))))) % 17.31/17.54 (assume @p31 (forall @t13 (=> @t5 (tptp.element (tptp.meet_on_relstr @t1 @t11) @t3)))) % 17.31/17.54 (assume @p32 (forall @t6 (=> @t57 (and @t80 @t79 @t78 @t77 (tptp.rel_str @t56))))) % 17.31/17.54 (assume @p33 (forall @t6 (=> @t5 (tptp.element @t49 @t3)))) % 17.31/17.54 (assume @p34 @t83) % 17.31/17.54 (assume @p35 (forall @t6 (=> (and @t25 @t85) (tptp.element @t84 @t3)))) % 17.31/17.54 (assume @p36 (forall @t6 (=> @t57 (tptp.relation @t86)))) % 17.31/17.54 (assume @p37 (forall @t6 (=> @t85 @t87))) % 17.31/17.54 (assume @p38 (forall @t6 (=> @t5 @t87))) % 17.31/17.54 (assume @p39 (forall @t6 (=> @t88 @t87))) % 17.31/17.54 (assume @p40 (forall @t6 (=> @t10 (and @t85 @t88)))) % 17.31/17.54 (assume @p41 (forall @t34 (=> @t89 @t33))) % 17.31/17.54 (assume @p42 (forall @t6 (=> @t85 (and (tptp.function @t7) (tptp.quasi_total @t7 @t90 @t3) (tptp.relation_of2_as_subset @t7 @t90 @t3))))) % 17.31/17.54 (assume @p43 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 17.31/17.54 (assume @p44 (forall @t6 (=> @t88 (and (tptp.function @t8) (tptp.quasi_total @t8 @t90 @t3) (tptp.relation_of2_as_subset @t8 @t90 @t3))))) % 17.31/17.54 (assume @p45 (exists @t6 @t85)) % 17.31/17.54 (assume @p46 (exists @t6 @t5)) % 17.31/17.54 (assume @p47 (exists @t6 @t87)) % 17.31/17.54 (assume @p48 (exists @t6 @t88)) % 17.31/17.54 (assume @p49 (exists @t6 @t10)) % 17.31/17.54 (assume @p50 (forall @t13 (exists @t92 @t91))) % 17.31/17.54 (assume @p51 (forall @t6 (exists @t53 (tptp.element @t11 @t1)))) % 17.31/17.54 (assume @p52 (forall @t13 (exists @t92 @t89))) % 17.31/17.54 (assume @p53 @t109) % 17.31/17.54 (assume @p54 (forall @t6 (and @t108 @t75))) % 17.31/17.54 (assume @p55 (forall @t13 (=> (and @t111 @t62) (and (not (tptp.empty_carrier @t60)) @t61)))) % 17.31/17.54 (assume @p56 (forall @t6 (=> @t112 (not (tptp.empty @t3))))) % 17.31/17.54 (assume @p57 (forall @t6 (not (tptp.empty @t113)))) % 17.31/17.54 (assume @p58 (tptp.empty tptp.empty_set)) % 17.31/17.54 (assume @p59 (forall @t6 (=> @t57 (and @t116 @t80 @t79 @t78 @t77 @t115 @t114)))) % 17.31/17.54 (assume @p60 (forall @t6 (and @t108 @t75 @t107 @t106 @t105 @t104 @t103 @t102 @t101))) % 17.31/17.54 (assume @p61 (forall @t6 (=> (and @t119 @t118 @t117 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 17.31/17.54 (assume @p62 (forall @t6 (=> (and @t25 @t17 @t15 @t10) (and @t116 @t80 @t79 @t78 @t77 @t120 @t115 @t114)))) % 17.31/17.54 (assume @p63 (forall @t6 (and @t108 @t75 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94))) % 17.31/17.54 (assume @p64 (forall @t34 (=> (and @t111 @t71 @t70 @t69 @t68 @t67 @t66) (and (not (tptp.empty_carrier @t63)) @t64)))) % 17.31/17.54 (assume @p65 (forall @t13 (=> (and (tptp.reflexive @t11) (tptp.antisymmetric @t11) (tptp.transitive @t11) (tptp.v1_partfun1 @t11 @t1 @t1) @t62) (and @t61 (tptp.reflexive_relstr @t60) (tptp.transitive_relstr @t60) (tptp.antisymmetric_relstr @t60))))) % 17.31/17.54 (assume @p66 (forall @t6 (=> (and @t25 @t17 @t16 @t10) (and @t116 @t80 @t79 @t78 @t77 @t121 @t115 @t114)))) % 17.31/17.54 (assume @p67 (forall @t6 (=> @t57 (and @t116 @t80 @t79 @t78 @t77)))) % 17.31/17.54 (assume @p68 (forall @t13 (=> (and @t111 @t123) (not (tptp.empty @t32))))) % 17.31/17.54 (assume @p69 (forall @t6 (=> @t124 (and @t116 @t80 @t79 @t78 @t77 @t121 @t120 (tptp.bounded_relstr @t56) @t115 @t114 (tptp.complete_relstr @t56))))) % 17.31/17.54 (assume @p70 (forall @t6 (and @t128 @t82 @t127 @t126 @t125))) % 17.31/17.54 (assume @p71 (forall @t6 (and @t128 @t82 @t127 @t126 @t125 (tptp.lower_bounded_relstr @t59) (tptp.upper_bounded_relstr @t59) (tptp.bounded_relstr @t59) (tptp.with_suprema_relstr @t59) (tptp.with_infima_relstr @t59) (tptp.complete_relstr @t59)))) % 17.31/17.54 (assume @p72 (forall @t34 (=> (and (not (tptp.empty_carrier @t11)) (tptp.latt_str @t11)) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t11 @t30)) (exists (@list @t129) (and (tptp.element @t129 (tptp.the_carrier @t11)) @t130 (tptp.latt_set_smaller @t11 @t129 @t30))))))) % 17.31/17.54 (assume @p73 (forall @t13 (=> @t62 (forall (@list @t30 @t129) (=> (= @t60 (tptp.rel_str_of @t30 @t129)) (and (= @t1 @t30) (= @t11 @t129))))))) % 17.31/17.54 (assume @p74 (forall @t34 (=> @t72 (forall (@list @t129 @t132 @t131) (=> (= @t63 (tptp.latt_str_of @t129 @t132 @t131)) (and @t130 (= @t11 @t132) (= @t30 @t131))))))) % 17.31/17.54 (assume @p75 (exists @t6 (and @t10 @t25 @t9 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t45 @t48 @t16 @t15))) % 17.31/17.54 (assume @p76 (exists @t6 (and @t10 @t25 @t9 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t15 @t14))) % 17.31/17.54 (assume @p77 (exists @t6 (and @t10 @t25 @t9 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t15 @t14 @t44))) % 17.31/17.54 (assume @p78 (exists @t6 (and @t10 @t25 @t9 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t45 @t16 @t15 @t14 @t44 @t46))) % 17.31/17.54 (assume @p79 (exists @t6 (and @t5 @t25 @t4 @t119 @t118 @t117 @t36))) % 17.31/17.54 (assume @p80 (exists @t6 (and @t5 @t4))) % 17.31/17.54 (assume @p81 (forall @t6 (=> @t111 (exists @t53 (and @t133 @t123))))) % 17.31/17.54 (assume @p82 (exists @t6 @t110)) % 17.31/17.54 (assume @p83 (exists @t6 (and @t5 @t25 @t4 @t119 @t118 @t117 @t27 @t35 @t36))) % 17.31/17.54 (assume @p84 (exists @t6 (and @t5 @t25 @t4 @t119 @t118 @t117))) % 17.31/17.54 (assume @p85 (forall @t13 (exists @t92 (and @t91 @t31 @t68)))) % 17.31/17.54 (assume @p86 (forall @t6 (exists @t53 (and @t133 @t122)))) % 17.31/17.54 (assume @p87 (exists @t6 @t111)) % 17.31/17.54 (assume @p88 (exists @t6 (and @t5 @t25 @t119 @t118 @t117 @t27 @t35 @t36 @t42 @t41 @t40))) % 17.31/17.54 (assume @p89 (exists @t6 (and @t10 @t9))) % 17.31/17.54 (assume @p90 (exists @t6 (and @t87 @t25))) % 17.31/17.54 (assume @p91 (forall @t6 (=> @t112 (exists @t53 (and (tptp.element @t11 (tptp.powerset @t3)) @t123))))) % 17.31/17.54 (assume @p92 (exists @t6 (and @t10 @t25 @t9))) % 17.31/17.54 (assume @p93 (exists @t6 (and @t10 @t25 @t9 @t23 @t22 @t21 @t20 @t19 @t18 @t17))) % 17.31/17.54 (assume @p94 (forall @t6 (=> @t57 (= @t55 @t86)))) % 17.31/17.54 (assume @p95 (forall @t34 (= @t89 @t91))) % 17.31/17.54 (assume @p96 (forall @t13 (tptp.subset @t1 @t1))) % 17.31/17.54 (assume @p97 @t136) % 17.31/17.54 (assume @p98 (forall @t13 (=> @t12 @t137))) % 17.31/17.54 (assume @p99 @t142) % 17.31/17.54 (assume @p100 (forall @t13 (=> @t137 (or @t122 @t12)))) % 17.31/17.54 (assume @p101 (forall @t13 (=> (forall @t92 (= (tptp.in @t30 @t1) (tptp.in @t30 @t11))) @t143))) % 17.31/17.54 (assume @p102 @t146) % 17.31/17.54 (assume @p103 (forall @t13 (= (tptp.element @t1 (tptp.powerset @t11)) (tptp.subset @t1 @t11)))) % 17.31/17.54 (assume @p104 (forall @t34 (=> (and @t12 @t147) (tptp.element @t1 @t30)))) % 17.31/17.54 (assume @p105 @t149) % 17.31/17.54 (assume @p106 (forall @t34 (not (and @t12 @t147 (tptp.empty @t30))))) % 17.31/17.54 (assume @p107 (forall @t6 (=> @t110 (= @t1 tptp.empty_set)))) % 17.31/17.54 (assume @p108 (forall @t13 (not (and @t12 @t122)))) % 17.31/17.54 (assume @p109 (forall @t13 (not (and @t110 (not @t143) @t122)))) % 17.31/17.54 (step @p110 :rule eq-symm :args (@t134 tptp.empty_set)) % 17.31/17.54 (step @p111 :rule cong :premises (@p110) :args (@t135)) % 17.31/17.54 (step @p112 :rule cong :premises (@p111) :args (@t136)) % 17.31/17.54 (step @p113 :rule eq_resolve :premises (@p97 @p112)) % 17.31/17.54 (step @p114 :rule skolemize :premises (@p113)) % 17.31/17.54 (step @p115 :rule instantiate :premises (@p22) :args (@t151)) % 17.31/17.54 (step @p116 :rule alpha_equiv :args (@t153 @t154 (@list (@var "BOUND_VARIABLE_9007" $$unsorted)))) % 17.31/17.54 (step @p117 :rule alpha_equiv :args (@t155 @t154 (@list (@var "BOUND_VARIABLE_9001" $$unsorted)))) % 17.31/17.54 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t156)) % 17.31/17.54 (step @p119 :rule quant-miniscope-and :args ((= (forall @t6 (and @t98 @t152)) @t156))) % 17.31/17.54 (step @p120 :rule trans :premises (@p119 @p118)) % 17.31/17.54 (step @p121 :rule eq-symm :args (@t144 tptp.empty_set)) % 17.31/17.54 (step @p122 :rule refl :args (@t98)) % 17.31/17.54 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t145)) % 17.31/17.54 (step @p124 :rule cong :premises (@p123) :args (@t146)) % 17.31/17.54 (step @p125 :rule trans :premises (@p124 @p120)) % 17.31/17.54 (step @p126 :rule eq_resolve :premises (@p102 @p125)) % 17.31/17.54 (step @p127 :rule and_elim :premises (@p126) :args (1)) % 17.31/17.54 (step @p128 :rule instantiate :premises (@p127) :args (@t151)) % 17.31/17.54 (step @p129 :rule bool-impl-elim :args (@t5 @t50)) % 17.31/17.54 (step @p130 :rule cong :premises (@p129) :args (@t51)) % 17.31/17.54 (step @p131 :rule eq_resolve :premises (@p19 @p130)) % 17.31/17.54 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t157))) % 17.31/17.54 (step @p133 :rule alpha_equiv :args (@t158 @t154 (@list (@var "BOUND_VARIABLE_8202" $$unsorted)))) % 17.31/17.54 (step @p134 :rule alpha_equiv :args (@t159 @t154 (@list (@var "BOUND_VARIABLE_8196" $$unsorted)))) % 17.31/17.54 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t160)) % 17.31/17.54 (step @p136 :rule quant-miniscope-and :args ((= @t83 @t160))) % 17.31/17.54 (step @p137 :rule trans :premises (@p136 @p135)) % 17.31/17.54 (step @p138 :rule eq_resolve :premises (@p34 @p137)) % 17.31/17.54 (step @p139 :rule and_elim :premises (@p138) :args (1)) % 17.31/17.54 (step @p140 :rule instantiate :premises (@p139) :args (@t151)) % 17.31/17.54 (step @p141 :rule cnf_or_pos :args (@t165)) % 17.31/17.54 (step @p142 :rule reordering :premises (@p141) :args ((or @t164 @t162 (not @t165)))) % 17.31/17.54 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p132) :args (@t162 (@list false false) (@list @t163 @t165))) % 17.31/17.54 (step @p144 :rule quant-merge-prenex :args ((= (forall @t6 @t176) (forall (@list @t1 @t168 @t166) @t174)))) % 17.31/17.54 (step @p145 :rule alpha_equiv :args (@t177 (@list @t166) @t179)) % 17.31/17.54 (step @p146 :rule quant-unused-vars :args ((= @t180 @t177))) % 17.31/17.54 (step @p147 :rule trans :premises (@p146 @p145)) % 17.31/17.54 (step @p148 :rule alpha_equiv :args (@t181 (@list @t168) @t183)) % 17.31/17.54 (step @p149 :rule quant-unused-vars :args ((= @t184 @t181))) % 17.31/17.54 (step @p150 :rule trans :premises (@p149 @p148)) % 17.31/17.54 (step @p151 :rule nary_cong :premises (@p150 @p147) :args (@t185)) % 17.31/17.54 (step @p152 :rule quant-miniscope-and :args ((= @t186 @t185))) % 17.31/17.54 (step @p153 :rule trans :premises (@p152 @p151)) % 17.31/17.54 (step @p154 :rule refl :args (@t171)) % 17.31/17.54 (step @p155 :rule refl :args (@t172)) % 17.31/17.54 (step @p156 :rule refl :args (@t173)) % 17.31/17.54 (step @p157 :rule refl :args (@t24)) % 17.31/17.54 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154 @p153) :args (@t187)) % 17.31/17.54 (step @p159 :rule quant-miniscope-or :args ((= @t176 @t187))) % 17.31/17.54 (step @p160 :rule trans :premises (@p159 @p158)) % 17.31/17.54 (step @p161 :rule symm :premises (@p160)) % 17.31/17.54 (step @p162 :rule cong :premises (@p161) :args ((forall @t6 @t189))) % 17.31/17.54 (step @p163 :rule trans :premises (@p162 @p144)) % 17.31/17.54 (step @p164 :rule aci_norm :args ((= (or @t190 @t188) @t189))) % 17.31/17.54 (step @p165 :rule refl :args (@t188)) % 17.31/17.54 (step @p166 :rule bool-double-not-elim :args (@t24)) % 17.31/17.54 (step @p167 :rule nary_cong :premises (@p166 @p156 @p155 @p154) :args (@t192)) % 17.31/17.54 (step @p168 :rule aci_norm :args ((= (or @t191 (or @t173 (or @t172 @t171))) @t192))) % 17.31/17.54 (step @p169 :rule trans :premises (@p168 @p167)) % 17.31/17.54 (step @p170 :rule bool-and-de-morgan :args (@t26 @t10 true)) % 17.31/17.54 (step @p171 :rule nary_cong :premises (@p156 @p170) :args ((or @t173 (not (and @t26 @t10))))) % 17.31/17.54 (step @p172 :rule bool-and-de-morgan :args (@t17 @t26 (and @t10))) % 17.31/17.54 (step @p173 :rule trans :premises (@p172 @p171)) % 17.31/17.54 (step @p174 :rule refl :args (@t191)) % 17.31/17.54 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t191 (not (and @t17 @t26 @t10))))) % 17.31/17.54 (step @p176 :rule bool-and-de-morgan :args (@t25 @t17 (and @t26 @t10))) % 17.31/17.54 (step @p177 :rule trans :premises (@p176 @p175)) % 17.31/17.54 (step @p178 :rule trans :premises (@p177 @p169)) % 17.31/17.54 (step @p179 :rule nary_cong :premises (@p178 @p165) :args ((or @t193 @t188))) % 17.31/17.54 (step @p180 :rule trans :premises (@p179 @p164)) % 17.31/17.54 (step @p181 :rule bool-impl-elim :args (@t124 @t188)) % 17.31/17.54 (step @p182 :rule trans :premises (@p181 @p180)) % 17.31/17.54 (step @p183 :rule cong :premises (@p182) :args ((forall @t6 (=> @t124 @t188)))) % 17.31/17.54 (step @p184 :rule trans :premises (@p183 @p163)) % 17.31/17.54 (step @p185 :rule alpha_equiv :args (@t194 @t195 @t179)) % 17.31/17.54 (step @p186 :rule alpha_equiv :args (@t196 @t195 @t183)) % 17.31/17.54 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t197)) % 17.31/17.54 (step @p188 :rule quant-miniscope-and :args ((= @t140 @t197))) % 17.31/17.54 (step @p189 :rule trans :premises (@p188 @p187)) % 17.31/17.54 (step @p190 :rule refl :args (@t124)) % 17.31/17.54 (step @p191 :rule cong :premises (@p190 @p189) :args (@t141)) % 17.31/17.54 (step @p192 :rule cong :premises (@p191) :args (@t142)) % 17.31/17.54 (step @p193 :rule trans :premises (@p192 @p184)) % 17.31/17.54 (step @p194 :rule eq_resolve :premises (@p99 @p193)) % 17.31/17.54 (step @p195 :rule instantiate :premises (@p194) :args ((@list @t198 tptp.empty_set tptp.empty_set))) % 17.31/17.54 (step @p196 :rule alpha_equiv :args (@t199 @t154 (@list (@var "BOUND_VARIABLE_8383" $$unsorted)))) % 17.31/17.54 (step @p197 :rule alpha_equiv :args (@t200 @t154 (@list (@var "BOUND_VARIABLE_8376" $$unsorted)))) % 17.31/17.54 (step @p198 :rule alpha_equiv :args (@t201 @t154 (@list (@var "BOUND_VARIABLE_8369" $$unsorted)))) % 17.31/17.54 (step @p199 :rule alpha_equiv :args (@t202 @t154 (@list (@var "BOUND_VARIABLE_8362" $$unsorted)))) % 17.31/17.54 (step @p200 :rule alpha_equiv :args (@t203 @t154 (@list (@var "BOUND_VARIABLE_8355" $$unsorted)))) % 17.31/17.54 (step @p201 :rule alpha_equiv :args (@t155 @t154 (@list (@var "BOUND_VARIABLE_8348" $$unsorted)))) % 17.31/17.54 (step @p202 :rule alpha_equiv :args (@t204 @t154 (@list (@var "BOUND_VARIABLE_8342" $$unsorted)))) % 17.31/17.54 (step @p203 :rule alpha_equiv :args (@t205 @t154 (@list (@var "BOUND_VARIABLE_8335" $$unsorted)))) % 17.31/17.54 (step @p204 :rule alpha_equiv :args (@t206 @t154 (@list (@var "BOUND_VARIABLE_8328" $$unsorted)))) % 17.31/17.54 (step @p205 :rule alpha_equiv :args (@t207 @t154 (@list (@var "BOUND_VARIABLE_8322" $$unsorted)))) % 17.31/17.54 (step @p206 :rule alpha_equiv :args (@t208 @t154 (@list (@var "BOUND_VARIABLE_8316" $$unsorted)))) % 17.31/17.54 (step @p207 :rule alpha_equiv :args (@t209 @t154 (@list (@var "BOUND_VARIABLE_8309" $$unsorted)))) % 17.31/17.54 (step @p208 :rule alpha_equiv :args (@t210 @t154 (@list (@var "BOUND_VARIABLE_8302" $$unsorted)))) % 17.31/17.54 (step @p209 :rule alpha_equiv :args (@t211 @t154 (@list (@var "BOUND_VARIABLE_8295" $$unsorted)))) % 17.31/17.54 (step @p210 :rule alpha_equiv :args (@t212 @t154 (@list (@var "BOUND_VARIABLE_8288" $$unsorted)))) % 17.31/17.54 (step @p211 :rule alpha_equiv :args (@t213 @t154 (@list (@var "BOUND_VARIABLE_8282" $$unsorted)))) % 17.31/17.54 (step @p212 :rule alpha_equiv :args (@t214 @t154 (@list (@var "BOUND_VARIABLE_8275" $$unsorted)))) % 17.31/17.54 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196) :args (@t215)) % 17.31/17.54 (step @p214 :rule quant-miniscope-and :args ((= @t109 @t215))) % 17.31/17.54 (step @p215 :rule trans :premises (@p214 @p213)) % 17.31/17.54 (step @p216 :rule eq_resolve :premises (@p53 @p215)) % 17.31/17.54 (step @p217 :rule and_elim :premises (@p216) :args (16)) % 17.31/17.54 (step @p218 :rule instantiate :premises (@p217) :args (@t151)) % 17.31/17.54 (step @p219 :rule and_elim :premises (@p216) :args (8)) % 17.31/17.54 (step @p220 :rule instantiate :premises (@p219) :args (@t151)) % 17.31/17.54 (step @p221 :rule alpha_equiv :args (@t216 @t154 (@list (@var "BOUND_VARIABLE_8173" $$unsorted)))) % 17.31/17.54 (step @p222 :rule alpha_equiv :args (@t213 @t154 (@list (@var "BOUND_VARIABLE_8167" $$unsorted)))) % 17.31/17.54 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t217)) % 17.31/17.54 (step @p224 :rule quant-miniscope-and :args ((= @t76 @t217))) % 17.31/17.54 (step @p225 :rule trans :premises (@p224 @p223)) % 17.31/17.54 (step @p226 :rule eq_resolve :premises (@p27 @p225)) % 17.31/17.54 (step @p227 :rule and_elim :premises (@p226) :args (1)) % 17.31/17.54 (step @p228 :rule instantiate :premises (@p227) :args (@t151)) % 17.31/17.54 (step @p229 :rule and_elim :premises (@p216) :args (0)) % 17.31/17.54 (step @p230 :rule instantiate :premises (@p229) :args (@t151)) % 17.31/17.55 (step @p231 :rule cnf_or_pos :args (@t230)) % 17.31/17.55 (step @p232 :rule reordering :premises (@p231) :args ((or @t229 @t224 @t228 @t226 @t222 (not @t230)))) % 17.31/17.55 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p228 @p220 @p218 @p195) :args (@t222 @t231 (@list @t229 @t223 @t227 @t225 @t230))) % 17.31/17.55 (step @p234 :rule cnf_and_pos :args (@t222 0)) % 17.31/17.55 (step @p235 :rule reordering :premises (@p234) :args ((or @t221 (not @t222)))) % 17.31/17.55 (step @p236 :rule chain_m_resolution :premises (@p235 @p233) :args (@t221 @t232 (@list @t222))) % 17.31/17.55 (step @p237 :rule aci_norm :args ((= (or @t190 @t148) (or @t24 @t173 @t172 @t171 @t148)))) % 17.31/17.55 (step @p238 :rule refl :args (@t148)) % 17.31/17.55 (step @p239 :rule nary_cong :premises (@p178 @p238) :args ((or @t193 @t148))) % 17.31/17.55 (step @p240 :rule trans :premises (@p239 @p237)) % 17.31/17.55 (step @p241 :rule bool-impl-elim :args (@t124 @t148)) % 17.31/17.55 (step @p242 :rule trans :premises (@p241 @p240)) % 17.31/17.55 (step @p243 :rule cong :premises (@p242) :args (@t149)) % 17.31/17.55 (step @p244 :rule eq_resolve :premises (@p105 @p243)) % 17.31/17.55 (step @p245 :rule instantiate :premises (@p244) :args ((@list @t198))) % 17.31/17.55 (step @p246 :rule cnf_or_pos :args (@t236)) % 17.31/17.55 (step @p247 :rule reordering :premises (@p246) :args ((or @t229 @t224 @t228 @t226 @t235 (not @t236)))) % 17.31/17.55 (step @p248 :rule chain_m_resolution :premises (@p247 @p230 @p228 @p220 @p218 @p245) :args (@t235 @t231 (@list @t229 @t223 @t227 @t225 @t236))) % 17.31/17.55 (step @p249 :rule cnf_and_pos :args (@t235 4)) % 17.31/17.55 (step @p250 :rule reordering :premises (@p249) :args ((or @t234 (not @t235)))) % 17.31/17.55 (step @p251 :rule chain_m_resolution :premises (@p250 @p248) :args (@t234 @t232 (@list @t235))) % 17.31/17.55 (step @p252 :rule refl :args (@t237)) % 17.31/17.55 (step @p253 :rule refl :args (@t238)) % 17.31/17.55 (step @p254 :rule refl :args (@t239)) % 17.31/17.55 (step @p255 :rule refl :args (@t241)) % 17.31/17.55 (step @p256 :rule refl :args (@t243)) % 17.31/17.55 (step @p257 :rule bool-double-not-elim :args (@t244)) % 17.31/17.55 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255 @p254 @p253 @p252) :args ((or (not @t245) @t243 @t241 @t239 @t238 @t237))) % 17.31/17.55 (assume-push @p285 @t245) % 17.31/17.55 (assume-push @p286 @t242) % 17.31/17.55 (assume-push @p287 @t240) % 17.31/17.55 (assume-push @p288 @t162) % 17.31/17.55 (assume-push @p289 @t221) % 17.31/17.55 (step @p264 :rule false_intro :premises (@p114)) % 17.31/17.55 (step @p265 :rule symm :premises (@p143)) % 17.31/17.55 (step @p266 :rule refl :args (tptp.empty_set)) % 17.31/17.55 (step @p267 :rule symm :premises (@p115)) % 17.31/17.55 (step @p268 :rule cong :premises (@p267 @p266) :args (@t219)) % 17.31/17.55 (step @p269 :rule trans :premises (@p236 @p268 @p265)) % 17.31/17.55 (step @p270 :rule symm :premises (@p128)) % 17.31/17.55 (step @p271 :rule cong :premises (@p270 @p269) :args (@t234)) % 17.31/17.55 (step @p272 :rule trans :premises (@p271 @p264)) % 17.31/17.55 (step @p273 :rule false_elim :premises (@p272)) % 17.31/17.55 (step-pop @p290 :rule scope :premises (@p273)) % 17.31/17.55 (step-pop @p291 :rule scope :premises (@p290)) % 17.31/17.55 (step-pop @p292 :rule scope :premises (@p291)) % 17.31/17.55 (step-pop @p293 :rule scope :premises (@p292)) % 17.31/17.55 (step-pop @p294 :rule scope :premises (@p293)) % 17.31/17.55 (step @p274 :rule process_scope :premises (@p294) :args (@t237)) % 17.31/17.55 (step @p280 :rule implies_elim :premises (@p274)) % 17.31/17.55 (step @p281 :rule cnf_and_neg :args (@t246)) % 17.31/17.55 (step @p282 :rule resolution :premises (@p281 @p280) :args (true @t246)) % 17.31/17.55 (step @p283 :rule eq_resolve :premises (@p282 @p258)) % 17.31/17.55 (step @p284 false :rule chain_m_resolution :premises (@p283 @p251 @p236 @p143 @p128 @p115 @p114) :args (false (@list false false false false false true) (@list @t234 @t221 @t162 @t240 @t242 @t244))) % 17.31/17.55 ) % 17.31/17.55 % SZS output end Proof % 17.31/17.55 % cvc5 exiting %------------------------------------------------------------------------------