%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU358+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:51:30 AM UTC 2026 % Result : Theorem 143.08s 143.35s % Output : Proof 143.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU358+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:59:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 143.08/143.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 143.08/143.35 --- Run --no-e-matching --full-saturate-quant at 6... % 143.08/143.35 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 143.08/143.35 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 143.08/143.35 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 143.08/143.35 --- Run --trigger-sel=max --full-saturate-quant at 15... % 143.08/143.35 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 143.08/143.35 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 143.08/143.35 --- Run --prenex-quant=none --full-saturate-quant at 30... % 143.08/143.35 % SZS status Theorem % 143.08/143.35 % SZS output start Proof % 143.08/143.35 ( % 143.08/143.35 (declare-sort $$unsorted 0) % 143.08/143.35 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.meet_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.a_2_2_lattice3 (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.lattice (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.join_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.finite (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.latt_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.empty_set $$unsorted) % 143.08/143.35 (declare-const tptp.empty (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.transitive (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.relation (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.meet_on_relstr (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 143.08/143.35 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 143.08/143.35 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 143.08/143.35 (define @t1 () (@var "A" $$unsorted)) % 143.08/143.35 (define @t2 () (tptp.join_absorbing @t1)) % 143.08/143.35 (define @t3 () (tptp.meet_absorbing @t1)) % 143.08/143.35 (define @t4 () (tptp.meet_commutative @t1)) % 143.08/143.35 (define @t5 () (tptp.empty_carrier @t1)) % 143.08/143.35 (define @t6 () (not @t5)) % 143.08/143.35 (define @t7 () (and @t6 (tptp.join_commutative @t1) (tptp.join_associative @t1) @t4 (tptp.meet_associative @t1) @t3 @t2)) % 143.08/143.35 (define @t8 () (tptp.lattice @t1)) % 143.08/143.35 (define @t9 () (and @t6 @t8)) % 143.08/143.35 (define @t10 () (=> @t9 @t7)) % 143.08/143.35 (define @t11 () (tptp.latt_str @t1)) % 143.08/143.35 (define @t12 () (@list @t1)) % 143.08/143.35 (define @t13 () (forall @t12 (=> @t11 @t10))) % 143.08/143.35 (define @t14 () (tptp.the_InternalRel @t1)) % 143.08/143.35 (define @t15 () (tptp.the_carrier @t1)) % 143.08/143.35 (define @t16 () (= @t1 (tptp.rel_str_of @t15 @t14))) % 143.08/143.35 (define @t17 () (tptp.strict_rel_str @t1)) % 143.08/143.35 (define @t18 () (=> @t17 @t16)) % 143.08/143.35 (define @t19 () (tptp.rel_str @t1)) % 143.08/143.35 (define @t20 () (forall @t12 (=> @t19 @t18))) % 143.08/143.35 (define @t21 () (@var "B" $$unsorted)) % 143.08/143.35 (define @t22 () (tptp.in @t1 @t21)) % 143.08/143.35 (define @t23 () (@list @t1 @t21)) % 143.08/143.35 (define @t24 () (tptp.finite @t1)) % 143.08/143.35 (define @t25 () (tptp.empty @t1)) % 143.08/143.35 (define @t26 () (@var "C" $$unsorted)) % 143.08/143.35 (define @t27 () (tptp.cartesian_product2 @t1 @t21)) % 143.08/143.35 (define @t28 () (tptp.element @t26 (tptp.powerset @t27))) % 143.08/143.35 (define @t29 () (@list @t1 @t21 @t26)) % 143.08/143.35 (define @t30 () (tptp.finite @t21)) % 143.08/143.35 (define @t31 () (tptp.element @t21 (tptp.powerset @t1))) % 143.08/143.35 (define @t32 () (@list @t21)) % 143.08/143.35 (define @t33 () (@var "D" $$unsorted)) % 143.08/143.35 (define @t34 () (tptp.related @t1 @t33 @t26)) % 143.08/143.35 (define @t35 () (tptp.relstr_element_smaller @t1 @t21 @t33)) % 143.08/143.35 (define @t36 () (=> @t35 @t34)) % 143.08/143.35 (define @t37 () (tptp.element @t33 @t15)) % 143.08/143.35 (define @t38 () (@list @t33)) % 143.08/143.35 (define @t39 () (forall @t38 (=> @t37 @t36))) % 143.08/143.35 (define @t40 () (tptp.relstr_element_smaller @t1 @t21 @t26)) % 143.08/143.35 (define @t41 () (and @t40 @t39)) % 143.08/143.35 (define @t42 () (tptp.meet_on_relstr @t1 @t21)) % 143.08/143.35 (define @t43 () (= @t26 @t42)) % 143.08/143.35 (define @t44 () (= @t43 @t41)) % 143.08/143.35 (define @t45 () (tptp.ex_inf_of_relstr_set @t1 @t21)) % 143.08/143.35 (define @t46 () (=> @t45 @t44)) % 143.08/143.35 (define @t47 () (tptp.element @t26 @t15)) % 143.08/143.35 (define @t48 () (=> @t47 @t46)) % 143.08/143.35 (define @t49 () (@list @t21 @t26)) % 143.08/143.35 (define @t50 () (forall @t49 @t48)) % 143.08/143.35 (define @t51 () (=> @t19 @t50)) % 143.08/143.35 (define @t52 () (forall @t12 @t51)) % 143.08/143.35 (define @t53 () (tptp.below @t1 @t26 @t33)) % 143.08/143.35 (define @t54 () (tptp.latt_element_smaller @t1 @t33 @t21)) % 143.08/143.35 (define @t55 () (=> @t54 @t53)) % 143.08/143.35 (define @t56 () (forall @t38 (=> @t37 @t55))) % 143.08/143.35 (define @t57 () (tptp.latt_element_smaller @t1 @t26 @t21)) % 143.08/143.35 (define @t58 () (and @t57 @t56)) % 143.08/143.35 (define @t59 () (tptp.join_of_latt_set @t1 @t21)) % 143.08/143.35 (define @t60 () (= @t26 @t59)) % 143.08/143.35 (define @t61 () (= @t60 @t58)) % 143.08/143.35 (define @t62 () (=> @t47 @t61)) % 143.08/143.35 (define @t63 () (forall @t49 @t62)) % 143.08/143.35 (define @t64 () (tptp.complete_latt_str @t1)) % 143.08/143.35 (define @t65 () (and @t6 @t8 @t64 @t11)) % 143.08/143.35 (define @t66 () (=> @t65 @t63)) % 143.08/143.35 (define @t67 () (and @t6 @t11)) % 143.08/143.35 (define @t68 () (=> @t67 @t66)) % 143.08/143.35 (define @t69 () (forall @t12 @t68)) % 143.08/143.35 (define @t70 () (tptp.meet_of_latt_set @t1 @t21)) % 143.08/143.35 (define @t71 () (tptp.k2_lattice3 @t1)) % 143.08/143.35 (define @t72 () (tptp.poset_of_lattice @t1)) % 143.08/143.35 (define @t73 () (= @t72 (tptp.rel_str_of @t15 @t71))) % 143.08/143.35 (define @t74 () (and @t6 @t8 @t11)) % 143.08/143.35 (define @t75 () (forall @t12 (=> @t74 @t73))) % 143.08/143.35 (define @t76 () (tptp.cast_to_el_of_LattPOSet @t1 @t21)) % 143.08/143.35 (define @t77 () (tptp.element @t21 @t15)) % 143.08/143.35 (define @t78 () (=> @t77 (= @t76 @t21))) % 143.08/143.35 (define @t79 () (forall @t32 @t78)) % 143.08/143.35 (define @t80 () (=> @t74 @t79)) % 143.08/143.35 (define @t81 () (forall @t12 @t80)) % 143.08/143.35 (define @t82 () (tptp.cast_to_el_of_lattice @t1 @t21)) % 143.08/143.35 (define @t83 () (tptp.the_carrier @t72)) % 143.08/143.35 (define @t84 () (tptp.element @t21 @t83)) % 143.08/143.35 (define @t85 () (=> @t84 (= @t82 @t21))) % 143.08/143.35 (define @t86 () (forall @t32 @t85)) % 143.08/143.35 (define @t87 () (=> @t74 @t86)) % 143.08/143.35 (define @t88 () (forall @t12 @t87)) % 143.08/143.35 (define @t89 () (tptp.related @t1 @t26 @t33)) % 143.08/143.35 (define @t90 () (tptp.relstr_set_smaller @t1 @t21 @t33)) % 143.08/143.35 (define @t91 () (=> @t90 @t89)) % 143.08/143.35 (define @t92 () (forall @t38 (=> @t37 @t91))) % 143.08/143.35 (define @t93 () (tptp.relstr_set_smaller @t1 @t21 @t26)) % 143.08/143.35 (define @t94 () (and @t93 @t92)) % 143.08/143.35 (define @t95 () (tptp.join_on_relstr @t1 @t21)) % 143.08/143.35 (define @t96 () (= @t26 @t95)) % 143.08/143.35 (define @t97 () (= @t96 @t94)) % 143.08/143.35 (define @t98 () (tptp.ex_sup_of_relstr_set @t1 @t21)) % 143.08/143.35 (define @t99 () (=> @t98 @t97)) % 143.08/143.35 (define @t100 () (=> @t47 @t99)) % 143.08/143.35 (define @t101 () (forall @t49 @t100)) % 143.08/143.35 (define @t102 () (=> @t19 @t101)) % 143.08/143.35 (define @t103 () (forall @t12 @t102)) % 143.08/143.35 (define @t104 () (tptp.rel_str_of @t1 @t21)) % 143.08/143.35 (define @t105 () (tptp.strict_rel_str @t104)) % 143.08/143.35 (define @t106 () (tptp.relation_of2 @t21 @t1 @t1)) % 143.08/143.35 (define @t107 () (tptp.element @t59 @t15)) % 143.08/143.35 (define @t108 () (forall @t23 (=> @t67 @t107))) % 143.08/143.35 (define @t109 () (tptp.element @t70 @t15)) % 143.08/143.35 (define @t110 () (forall @t23 (=> @t67 @t109))) % 143.08/143.35 (define @t111 () (and (tptp.reflexive @t71) (tptp.antisymmetric @t71) (tptp.transitive @t71) (tptp.v1_partfun1 @t71 @t15 @t15) (tptp.relation_of2_as_subset @t71 @t15 @t15))) % 143.08/143.35 (define @t112 () (forall @t12 (=> @t74 @t111))) % 143.08/143.35 (define @t113 () (tptp.element @t42 @t15)) % 143.08/143.35 (define @t114 () (forall @t23 (=> @t19 @t113))) % 143.08/143.35 (define @t115 () (tptp.antisymmetric_relstr @t72)) % 143.08/143.35 (define @t116 () (tptp.transitive_relstr @t72)) % 143.08/143.35 (define @t117 () (tptp.reflexive_relstr @t72)) % 143.08/143.35 (define @t118 () (tptp.strict_rel_str @t72)) % 143.08/143.35 (define @t119 () (and @t118 @t117 @t116 @t115 (tptp.rel_str @t72))) % 143.08/143.35 (define @t120 () (forall @t12 (=> @t74 @t119))) % 143.08/143.35 (define @t121 () (tptp.relation_of_lattice @t1)) % 143.08/143.35 (define @t122 () (tptp.one_sorted_str @t1)) % 143.08/143.35 (define @t123 () (tptp.meet_semilatt_str @t1)) % 143.08/143.35 (define @t124 () (tptp.join_semilatt_str @t1)) % 143.08/143.35 (define @t125 () (tptp.relation_of2_as_subset @t26 @t1 @t21)) % 143.08/143.35 (define @t126 () (tptp.relation_of2 @t26 @t1 @t21)) % 143.08/143.35 (define @t127 () (@list @t26)) % 143.08/143.35 (define @t128 () (not @t25)) % 143.08/143.35 (define @t129 () (and @t6 @t122)) % 143.08/143.35 (define @t130 () (tptp.antisymmetric_relstr @t1)) % 143.08/143.35 (define @t131 () (tptp.transitive_relstr @t1)) % 143.08/143.35 (define @t132 () (tptp.reflexive_relstr @t1)) % 143.08/143.35 (define @t133 () (and (not (tptp.empty_carrier @t72)) @t118 @t117 @t116 @t115)) % 143.08/143.35 (define @t134 () (forall @t12 (=> @t74 @t133))) % 143.08/143.35 (define @t135 () (tptp.the_carrier @t21)) % 143.08/143.35 (define @t136 () (tptp.latt_str @t21)) % 143.08/143.35 (define @t137 () (tptp.empty_carrier @t21)) % 143.08/143.35 (define @t138 () (not @t137)) % 143.08/143.35 (define @t139 () (and (= @t1 @t26) (= @t21 @t33))) % 143.08/143.35 (define @t140 () (tptp.rel_str_of @t26 @t33)) % 143.08/143.35 (define @t141 () (= @t104 @t140)) % 143.08/143.35 (define @t142 () (@list @t26 @t33)) % 143.08/143.35 (define @t143 () (forall @t142 (=> @t141 @t139))) % 143.08/143.35 (define @t144 () (=> @t106 @t143)) % 143.08/143.35 (define @t145 () (forall @t23 @t144)) % 143.08/143.35 (define @t146 () (tptp.empty @t21)) % 143.08/143.35 (define @t147 () (not @t146)) % 143.08/143.35 (define @t148 () (tptp.below_refl @t1 @t21 @t26)) % 143.08/143.35 (define @t149 () (= @t148 (tptp.below @t1 @t21 @t26))) % 143.08/143.35 (define @t150 () (and @t6 @t4 @t3 @t2 @t11 @t77 @t47)) % 143.08/143.35 (define @t151 () (forall @t29 (=> @t150 @t149))) % 143.08/143.35 (define @t152 () (= (tptp.related_reflexive @t1 @t21 @t26) (tptp.related @t1 @t21 @t26))) % 143.08/143.35 (define @t153 () (and @t6 @t132 @t19 @t77 @t47)) % 143.08/143.35 (define @t154 () (forall @t29 (=> @t153 @t152))) % 143.08/143.35 (define @t155 () (and @t47 @t93 @t92)) % 143.08/143.35 (define @t156 () (exists @t127 @t155)) % 143.08/143.35 (define @t157 () (= @t98 @t156)) % 143.08/143.35 (define @t158 () (forall @t32 @t157)) % 143.08/143.35 (define @t159 () (and @t130 @t19)) % 143.08/143.35 (define @t160 () (=> @t159 @t158)) % 143.08/143.35 (define @t161 () (forall @t12 @t160)) % 143.08/143.35 (define @t162 () (and @t47 @t40 @t39)) % 143.08/143.35 (define @t163 () (exists @t127 @t162)) % 143.08/143.35 (define @t164 () (= @t45 @t163)) % 143.08/143.35 (define @t165 () (forall @t32 @t164)) % 143.08/143.35 (define @t166 () (=> @t159 @t165)) % 143.08/143.35 (define @t167 () (forall @t12 @t166)) % 143.08/143.35 (define @t168 () (tptp.element @t1 @t21)) % 143.08/143.35 (define @t169 () (tptp.cast_to_el_of_LattPOSet @t21 @t26)) % 143.08/143.35 (define @t170 () (tptp.poset_of_lattice @t21)) % 143.08/143.35 (define @t171 () (= (tptp.latt_set_smaller @t21 @t26 @t1) (tptp.relstr_element_smaller @t170 @t1 @t169))) % 143.08/143.35 (define @t172 () (tptp.element @t26 @t135)) % 143.08/143.35 (define @t173 () (forall @t127 (=> @t172 @t171))) % 143.08/143.35 (define @t174 () (tptp.lattice @t21)) % 143.08/143.35 (define @t175 () (and @t138 @t174 @t136)) % 143.08/143.35 (define @t176 () (=> @t175 @t173)) % 143.08/143.35 (define @t177 () (forall @t23 @t176)) % 143.08/143.35 (define @t178 () (tptp.cast_to_el_of_lattice @t21 @t26)) % 143.08/143.35 (define @t179 () (= (tptp.relstr_element_smaller @t170 @t1 @t26) (tptp.latt_set_smaller @t21 @t178 @t1))) % 143.08/143.35 (define @t180 () (tptp.element @t26 (tptp.the_carrier @t170))) % 143.08/143.35 (define @t181 () (forall @t127 (=> @t180 @t179))) % 143.08/143.35 (define @t182 () (=> @t175 @t181)) % 143.08/143.35 (define @t183 () (forall @t23 @t182)) % 143.08/143.35 (define @t184 () (= @t70 (tptp.meet_on_relstr @t72 @t21))) % 143.08/143.35 (define @t185 () (= @t59 (tptp.join_on_relstr @t72 @t21))) % 143.08/143.35 (define @t186 () (forall @t32 (and @t185 @t184))) % 143.08/143.35 (define @t187 () (=> @t65 @t186)) % 143.08/143.35 (define @t188 () (forall @t12 @t187)) % 143.08/143.35 (define @t189 () (not @t188)) % 143.08/143.35 (define @t190 () (= @t1 @t21)) % 143.08/143.35 (define @t191 () (= (tptp.latt_element_smaller @t21 @t26 @t1) (tptp.relstr_set_smaller @t170 @t1 @t169))) % 143.08/143.35 (define @t192 () (forall @t127 (=> @t172 @t191))) % 143.08/143.35 (define @t193 () (=> @t175 @t192)) % 143.08/143.35 (define @t194 () (forall @t23 @t193)) % 143.08/143.35 (define @t195 () (= (tptp.relstr_set_smaller @t170 @t1 @t26) (tptp.latt_element_smaller @t21 @t178 @t1))) % 143.08/143.35 (define @t196 () (forall @t127 (=> @t180 @t195))) % 143.08/143.35 (define @t197 () (=> @t175 @t196)) % 143.08/143.35 (define @t198 () (forall @t23 @t197)) % 143.08/143.35 (define @t199 () (tptp.below_refl @t1 @t33 @t21)) % 143.08/143.35 (define @t200 () (tptp.latt_set_smaller @t1 @t33 @t26)) % 143.08/143.35 (define @t201 () (=> @t200 @t199)) % 143.08/143.35 (define @t202 () (forall @t38 (=> @t37 @t201))) % 143.08/143.35 (define @t203 () (tptp.latt_set_smaller @t1 @t21 @t26)) % 143.08/143.35 (define @t204 () (and @t203 @t202)) % 143.08/143.35 (define @t205 () (= @t21 (tptp.meet_of_latt_set @t1 @t26))) % 143.08/143.35 (define @t206 () (= @t205 @t204)) % 143.08/143.35 (define @t207 () (forall @t127 @t206)) % 143.08/143.35 (define @t208 () (=> @t77 @t207)) % 143.08/143.35 (define @t209 () (forall @t32 @t208)) % 143.08/143.35 (define @t210 () (=> @t65 @t209)) % 143.08/143.35 (define @t211 () (forall @t12 @t210)) % 143.08/143.35 (define @t212 () (tptp.element @t21 (tptp.powerset @t26))) % 143.08/143.35 (define @t213 () (= @t148 (tptp.related_reflexive @t72 @t76 (tptp.cast_to_el_of_LattPOSet @t1 @t26)))) % 143.08/143.35 (define @t214 () (forall @t127 (=> @t47 @t213))) % 143.08/143.35 (define @t215 () (=> @t77 @t214)) % 143.08/143.35 (define @t216 () (forall @t32 @t215)) % 143.08/143.35 (define @t217 () (=> @t74 @t216)) % 143.08/143.35 (define @t218 () (forall @t12 @t217)) % 143.08/143.35 (define @t219 () (= @t21 @t76)) % 143.08/143.35 (define @t220 () (not @t77)) % 143.08/143.35 (define @t221 () (forall @t32 (or @t220 @t219))) % 143.08/143.35 (define @t222 () (not @t11)) % 143.08/143.35 (define @t223 () (not @t8)) % 143.08/143.35 (define @t224 () (or @t5 @t223 @t222)) % 143.08/143.35 (define @t225 () (not @t6)) % 143.08/143.35 (define @t226 () (or @t225 @t223 @t222)) % 143.08/143.35 (define @t227 () (not @t74)) % 143.08/143.35 (define @t228 () (@var "BOUND_VARIABLE_8353" $$unsorted)) % 143.08/143.35 (define @t229 () (@list @t228)) % 143.08/143.35 (define @t230 () (@var "BOUND_VARIABLE_8346" $$unsorted)) % 143.08/143.35 (define @t231 () (@list @t230)) % 143.08/143.35 (define @t232 () (and (forall @t231 (= (tptp.join_of_latt_set @t1 @t230) (tptp.join_on_relstr @t72 @t230))) (forall @t229 (= (tptp.meet_of_latt_set @t1 @t228) (tptp.meet_on_relstr @t72 @t228))))) % 143.08/143.35 (define @t233 () (not @t64)) % 143.08/143.35 (define @t234 () (or @t5 @t223 @t233 @t222 @t232)) % 143.08/143.35 (define @t235 () (@quantifiers_skolemize (forall @t12 @t234) 0)) % 143.08/143.35 (define @t236 () (@list @t235)) % 143.08/143.35 (define @t237 () (or @t5 @t223 @t233 @t222)) % 143.08/143.35 (define @t238 () (or @t225 @t223 @t233 @t222)) % 143.08/143.35 (define @t239 () (not @t65)) % 143.08/143.35 (define @t240 () (forall @t32 @t184)) % 143.08/143.35 (define @t241 () (@list @t21)) % 143.08/143.35 (define @t242 () (forall @t32 @t185)) % 143.08/143.35 (define @t243 () (and @t242 @t240)) % 143.08/143.35 (define @t244 () (tptp.latt_str @t235)) % 143.08/143.35 (define @t245 () (tptp.poset_of_lattice @t235)) % 143.08/143.35 (define @t246 () (forall @t229 (= (tptp.meet_of_latt_set @t235 @t228) (tptp.meet_on_relstr @t245 @t228)))) % 143.08/143.35 (define @t247 () (forall @t231 (= (tptp.join_of_latt_set @t235 @t230) (tptp.join_on_relstr @t245 @t230)))) % 143.08/143.35 (define @t248 () (and @t247 @t246)) % 143.08/143.35 (define @t249 () (not @t244)) % 143.08/143.35 (define @t250 () (tptp.complete_latt_str @t235)) % 143.08/143.35 (define @t251 () (not @t250)) % 143.08/143.35 (define @t252 () (tptp.lattice @t235)) % 143.08/143.35 (define @t253 () (not @t252)) % 143.08/143.35 (define @t254 () (tptp.empty_carrier @t235)) % 143.08/143.35 (define @t255 () (or @t254 @t253 @t251 @t249 @t248)) % 143.08/143.35 (define @t256 () (@list true)) % 143.08/143.35 (define @t257 () (@list @t255)) % 143.08/143.35 (define @t258 () (not @t254)) % 143.08/143.35 (define @t259 () (tptp.cast_to_el_of_LattPOSet @t235 @t21)) % 143.08/143.35 (define @t260 () (tptp.the_carrier @t235)) % 143.08/143.35 (define @t261 () (not (tptp.element @t21 @t260))) % 143.08/143.35 (define @t262 () (forall @t32 (or @t261 (= @t21 @t259)))) % 143.08/143.35 (define @t263 () (or @t254 @t253 @t249 @t262)) % 143.08/143.35 (define @t264 () (@list true false false false)) % 143.08/143.35 (define @t265 () (@quantifiers_skolemize @t246 0)) % 143.08/143.35 (define @t266 () (tptp.meet_on_relstr @t245 @t265)) % 143.08/143.35 (define @t267 () (@list @t266)) % 143.08/143.35 (define @t268 () (tptp.rel_str @t245)) % 143.08/143.35 (define @t269 () (tptp.antisymmetric_relstr @t245)) % 143.08/143.35 (define @t270 () (tptp.transitive_relstr @t245)) % 143.08/143.35 (define @t271 () (tptp.reflexive_relstr @t245)) % 143.08/143.35 (define @t272 () (tptp.strict_rel_str @t245)) % 143.08/143.35 (define @t273 () (and @t272 @t271 @t270 @t269 @t268)) % 143.08/143.35 (define @t274 () (or @t254 @t253 @t249 @t273)) % 143.08/143.35 (define @t275 () (not @t273)) % 143.08/143.35 (define @t276 () (@list false)) % 143.08/143.35 (define @t277 () (@list @t273)) % 143.08/143.35 (define @t278 () (tptp.the_carrier @t245)) % 143.08/143.35 (define @t279 () (tptp.element @t266 @t278)) % 143.08/143.35 (define @t280 () (not @t268)) % 143.08/143.35 (define @t281 () (or @t280 @t279)) % 143.08/143.35 (define @t282 () (@list false false)) % 143.08/143.35 (define @t283 () (forall @t142 (or (not @t141) @t139))) % 143.08/143.35 (define @t284 () (tptp.k2_lattice3 @t235)) % 143.08/143.35 (define @t285 () (and (= @t260 @t26) (= @t284 @t33))) % 143.08/143.35 (define @t286 () (tptp.rel_str_of @t260 @t284)) % 143.08/143.35 (define @t287 () (not (= @t286 @t140))) % 143.08/143.35 (define @t288 () (or @t287 @t285)) % 143.08/143.35 (define @t289 () (forall @t142 @t288)) % 143.08/143.35 (define @t290 () (tptp.relation_of2 @t284 @t260 @t260)) % 143.08/143.35 (define @t291 () (not @t290)) % 143.08/143.35 (define @t292 () (or @t291 @t289)) % 143.08/143.35 (define @t293 () (forall @t23 (or (not @t106) @t283))) % 143.08/143.35 (define @t294 () (forall @t142 (or (not (= @t140 @t286)) (and (= @t26 @t260) (= @t33 @t284))))) % 143.08/143.35 (define @t295 () (or @t291 @t294)) % 143.08/143.35 (define @t296 () (tptp.relation_of2_as_subset @t284 @t260 @t260)) % 143.08/143.35 (define @t297 () (and (tptp.reflexive @t284) (tptp.antisymmetric @t284) (tptp.transitive @t284) (tptp.v1_partfun1 @t284 @t260 @t260) @t296)) % 143.08/143.35 (define @t298 () (or @t254 @t253 @t249 @t297)) % 143.08/143.35 (define @t299 () (= @t296 @t290)) % 143.08/143.35 (define @t300 () (tptp.the_InternalRel @t245)) % 143.08/143.35 (define @t301 () (and (= @t278 @t260) (= @t300 @t284))) % 143.08/143.35 (define @t302 () (tptp.rel_str_of @t278 @t300)) % 143.08/143.35 (define @t303 () (not (= @t302 @t286))) % 143.08/143.35 (define @t304 () (or @t303 @t301)) % 143.08/143.35 (define @t305 () (= @t260 @t278)) % 143.08/143.35 (define @t306 () (and @t305 (= @t284 @t300))) % 143.08/143.35 (define @t307 () (= @t286 @t302)) % 143.08/143.35 (define @t308 () (not @t307)) % 143.08/143.35 (define @t309 () (or @t308 @t306)) % 143.08/143.35 (define @t310 () (not @t17)) % 143.08/143.35 (define @t311 () (not @t19)) % 143.08/143.35 (define @t312 () (@list @t245)) % 143.08/143.35 (define @t313 () (= @t245 @t302)) % 143.08/143.35 (define @t314 () (not @t272)) % 143.08/143.35 (define @t315 () (or @t280 @t314 @t313)) % 143.08/143.35 (define @t316 () (@list false false false)) % 143.08/143.35 (define @t317 () (= @t245 @t286)) % 143.08/143.35 (define @t318 () (or @t254 @t253 @t249 @t317)) % 143.08/143.35 (define @t319 () (tptp.element @t266 @t260)) % 143.08/143.35 (define @t320 () (tptp.cast_to_el_of_LattPOSet @t235 @t266)) % 143.08/143.35 (define @t321 () (= @t266 @t320)) % 143.08/143.35 (define @t322 () (not @t319)) % 143.08/143.35 (define @t323 () (or @t322 @t321)) % 143.08/143.35 (define @t324 () (tptp.below_refl @t235 @t33 @t266)) % 143.08/143.35 (define @t325 () (not (tptp.latt_set_smaller @t235 @t33 @t265))) % 143.08/143.35 (define @t326 () (not (tptp.element @t33 @t260))) % 143.08/143.35 (define @t327 () (forall @t38 (or @t326 @t325 @t324))) % 143.08/143.35 (define @t328 () (@quantifiers_skolemize @t327 0)) % 143.08/143.35 (define @t329 () (@list @t328)) % 143.08/143.35 (define @t330 () (not @t200)) % 143.08/143.35 (define @t331 () (not @t37)) % 143.08/143.35 (define @t332 () (or @t331 @t330 @t199)) % 143.08/143.35 (define @t333 () (forall @t127 (= @t205 (and @t203 (forall @t38 @t332))))) % 143.08/143.35 (define @t334 () (forall @t32 (or @t220 @t333))) % 143.08/143.35 (define @t335 () (not (tptp.latt_set_smaller @t235 @t33 @t26))) % 143.08/143.35 (define @t336 () (tptp.meet_of_latt_set @t235 @t26)) % 143.08/143.35 (define @t337 () (forall @t32 (or @t261 (forall @t127 (= (= @t21 @t336) (and (tptp.latt_set_smaller @t235 @t21 @t26) (forall @t38 (or @t326 @t335 (tptp.below_refl @t235 @t33 @t21))))))))) % 143.08/143.35 (define @t338 () (or @t254 @t253 @t251 @t249 @t337)) % 143.08/143.35 (define @t339 () (@list true false false false false)) % 143.08/143.35 (define @t340 () (= @t336 @t266)) % 143.08/143.35 (define @t341 () (and (tptp.latt_set_smaller @t235 @t266 @t26) (forall @t38 (or @t326 @t335 @t324)))) % 143.08/143.35 (define @t342 () (= (= @t266 @t336) @t341)) % 143.08/143.35 (define @t343 () (forall @t127 @t342)) % 143.08/143.35 (define @t344 () (or @t322 @t343)) % 143.08/143.35 (define @t345 () (forall @t127 (= @t341 @t340))) % 143.08/143.35 (define @t346 () (or @t322 @t345)) % 143.08/143.35 (define @t347 () (@list @t337)) % 143.08/143.35 (define @t348 () (tptp.latt_set_smaller @t235 @t266 @t265)) % 143.08/143.35 (define @t349 () (and @t348 @t327)) % 143.08/143.35 (define @t350 () (tptp.meet_of_latt_set @t235 @t265)) % 143.08/143.35 (define @t351 () (= @t350 @t266)) % 143.08/143.35 (define @t352 () (= @t349 @t351)) % 143.08/143.35 (define @t353 () (@list @t265)) % 143.08/143.35 (define @t354 () (= @t351 @t349)) % 143.08/143.35 (define @t355 () (not @t90)) % 143.08/143.35 (define @t356 () (or @t331 @t355 @t89)) % 143.08/143.35 (define @t357 () (forall @t38 @t356)) % 143.08/143.35 (define @t358 () (and @t93 @t357)) % 143.08/143.35 (define @t359 () (= @t96 @t358)) % 143.08/143.35 (define @t360 () (not @t98)) % 143.08/143.35 (define @t361 () (not @t47)) % 143.08/143.35 (define @t362 () (or @t361 @t360 @t359)) % 143.08/143.35 (define @t363 () (forall @t49 @t362)) % 143.08/143.35 (define @t364 () (=> @t98 @t359)) % 143.08/143.35 (define @t365 () (tptp.related @t245 @t26 @t33)) % 143.08/143.35 (define @t366 () (not (tptp.element @t33 @t278))) % 143.08/143.35 (define @t367 () (forall @t38 (or @t366 (not (tptp.relstr_set_smaller @t245 @t21 @t33)) @t365))) % 143.08/143.35 (define @t368 () (tptp.relstr_set_smaller @t245 @t21 @t26)) % 143.08/143.35 (define @t369 () (tptp.ex_sup_of_relstr_set @t245 @t21)) % 143.08/143.35 (define @t370 () (not (tptp.element @t26 @t278))) % 143.08/143.35 (define @t371 () (forall @t49 (or @t370 (not @t369) (= (= @t26 (tptp.join_on_relstr @t245 @t21)) (and @t368 @t367))))) % 143.08/143.35 (define @t372 () (or @t280 @t371)) % 143.08/143.35 (define @t373 () (@quantifiers_skolemize @t247 0)) % 143.08/143.35 (define @t374 () (tptp.join_of_latt_set @t235 @t373)) % 143.08/143.35 (define @t375 () (@list @t373 @t374)) % 143.08/143.35 (define @t376 () (not @t357)) % 143.08/143.35 (define @t377 () (not @t93)) % 143.08/143.35 (define @t378 () (or @t361 @t377 @t376)) % 143.08/143.35 (define @t379 () (forall @t32 (= @t98 (not (forall @t127 @t378))))) % 143.08/143.35 (define @t380 () (not @t130)) % 143.08/143.35 (define @t381 () (or @t380 @t311)) % 143.08/143.35 (define @t382 () (not @t159)) % 143.08/143.35 (define @t383 () (and @t47 @t93 @t357)) % 143.08/143.35 (define @t384 () (forall @t127 (not @t383))) % 143.08/143.35 (define @t385 () (not @t384)) % 143.08/143.35 (define @t386 () (forall @t32 (= @t369 (not (forall @t127 (or @t370 (not @t368) (not @t367))))))) % 143.08/143.35 (define @t387 () (not @t269)) % 143.08/143.35 (define @t388 () (or @t387 @t280 @t386)) % 143.08/143.35 (define @t389 () (not (tptp.relstr_set_smaller @t245 @t373 @t33))) % 143.08/143.35 (define @t390 () (forall @t38 (or @t366 @t389 (tptp.related @t245 @t374 @t33)))) % 143.08/143.35 (define @t391 () (@quantifiers_skolemize @t390 0)) % 143.08/143.35 (define @t392 () (tptp.element @t391 @t278)) % 143.08/143.35 (define @t393 () (tptp.related @t245 @t374 @t391)) % 143.08/143.35 (define @t394 () (tptp.relstr_set_smaller @t245 @t373 @t391)) % 143.08/143.35 (define @t395 () (not @t394)) % 143.08/143.35 (define @t396 () (not @t392)) % 143.08/143.35 (define @t397 () (or @t396 @t395 @t393)) % 143.08/143.35 (define @t398 () (tptp.empty_carrier @t245)) % 143.08/143.35 (define @t399 () (not @t398)) % 143.08/143.35 (define @t400 () (and @t399 @t272 @t271 @t270 @t269)) % 143.08/143.35 (define @t401 () (or @t254 @t253 @t249 @t400)) % 143.08/143.35 (define @t402 () (or @t5 @t222)) % 143.08/143.35 (define @t403 () (not @t67)) % 143.08/143.35 (define @t404 () (tptp.element @t374 @t260)) % 143.08/143.35 (define @t405 () (or @t254 @t249 @t404)) % 143.08/143.35 (define @t406 () (@list true false false)) % 143.08/143.35 (define @t407 () (tptp.element @t374 @t278)) % 143.08/143.35 (define @t408 () (not @t132)) % 143.08/143.35 (define @t409 () (or @t5 @t408 @t311 @t220 @t361 @t152)) % 143.08/143.35 (define @t410 () (or @t225 @t408 @t311 @t220 @t361)) % 143.08/143.35 (define @t411 () (or @t220 @t361)) % 143.08/143.35 (define @t412 () (not (and @t77 @t47))) % 143.08/143.35 (define @t413 () (tptp.related_reflexive @t245 @t374 @t391)) % 143.08/143.35 (define @t414 () (not @t407)) % 143.08/143.35 (define @t415 () (not @t271)) % 143.08/143.35 (define @t416 () (or @t398 @t415 @t280 @t414 @t396 (= @t413 @t393))) % 143.08/143.35 (define @t417 () (forall @t29 @t409)) % 143.08/143.35 (define @t418 () (= @t393 @t413)) % 143.08/143.35 (define @t419 () (or @t398 @t415 @t280 @t414 @t396 @t418)) % 143.08/143.35 (define @t420 () (@list @t417)) % 143.08/143.35 (define @t421 () (= @t21 @t82)) % 143.08/143.35 (define @t422 () (forall @t32 (or (not @t84) @t421))) % 143.08/143.35 (define @t423 () (forall @t32 (or (not (tptp.element @t21 @t278)) (= @t21 (tptp.cast_to_el_of_lattice @t235 @t21))))) % 143.08/143.35 (define @t424 () (or @t254 @t253 @t249 @t423)) % 143.08/143.35 (define @t425 () (@list @t391)) % 143.08/143.35 (define @t426 () (tptp.cast_to_el_of_lattice @t235 @t391)) % 143.08/143.35 (define @t427 () (= @t391 @t426)) % 143.08/143.35 (define @t428 () (or @t396 @t427)) % 143.08/143.35 (define @t429 () (not @t180)) % 143.08/143.35 (define @t430 () (forall @t127 (or @t429 @t195))) % 143.08/143.35 (define @t431 () (not @t136)) % 143.08/143.35 (define @t432 () (not @t174)) % 143.08/143.35 (define @t433 () (or @t137 @t432 @t431)) % 143.08/143.35 (define @t434 () (not @t138)) % 143.08/143.35 (define @t435 () (or @t434 @t432 @t431)) % 143.08/143.35 (define @t436 () (not @t175)) % 143.08/143.35 (define @t437 () (@list @t373 @t235)) % 143.08/143.35 (define @t438 () (tptp.cast_to_el_of_lattice @t235 @t26)) % 143.08/143.35 (define @t439 () (tptp.relstr_set_smaller @t245 @t373 @t26)) % 143.08/143.35 (define @t440 () (forall @t127 (or @t370 (= @t439 (tptp.latt_element_smaller @t235 @t438 @t373))))) % 143.08/143.35 (define @t441 () (or @t254 @t253 @t249 @t440)) % 143.08/143.35 (define @t442 () (tptp.latt_element_smaller @t235 @t426 @t373)) % 143.08/143.35 (define @t443 () (= @t394 @t442)) % 143.08/143.35 (define @t444 () (or @t396 @t443)) % 143.08/143.35 (define @t445 () (not @t413)) % 143.08/143.35 (define @t446 () (tptp.element @t391 @t260)) % 143.08/143.35 (define @t447 () (and @t305 @t392)) % 143.08/143.35 (define @t448 () (tptp.latt_element_smaller @t235 @t391 @t373)) % 143.08/143.35 (define @t449 () (and @t427 @t442)) % 143.08/143.35 (define @t450 () (or @t5 @t223 @t7)) % 143.08/143.35 (define @t451 () (tptp.join_absorbing @t235)) % 143.08/143.35 (define @t452 () (tptp.meet_absorbing @t235)) % 143.08/143.35 (define @t453 () (tptp.meet_commutative @t235)) % 143.08/143.35 (define @t454 () (and @t258 (tptp.join_commutative @t235) (tptp.join_associative @t235) @t453 (tptp.meet_associative @t235) @t452 @t451)) % 143.08/143.35 (define @t455 () (or @t249 @t254 @t253 @t454)) % 143.08/143.35 (define @t456 () (not @t454)) % 143.08/143.35 (define @t457 () (@list @t454)) % 143.08/143.35 (define @t458 () (not @t2)) % 143.08/143.35 (define @t459 () (not @t3)) % 143.08/143.35 (define @t460 () (not @t4)) % 143.08/143.35 (define @t461 () (or @t225 @t460 @t459 @t458 @t222 @t220 @t361)) % 143.08/143.35 (define @t462 () (tptp.below @t235 @t374 @t391)) % 143.08/143.35 (define @t463 () (tptp.below_refl @t235 @t374 @t391)) % 143.08/143.35 (define @t464 () (= @t463 @t462)) % 143.08/143.35 (define @t465 () (not @t446)) % 143.08/143.35 (define @t466 () (not @t404)) % 143.08/143.35 (define @t467 () (not @t451)) % 143.08/143.35 (define @t468 () (not @t452)) % 143.08/143.35 (define @t469 () (not @t453)) % 143.08/143.35 (define @t470 () (or @t254 @t469 @t468 @t467 @t249 @t466 @t465 @t464)) % 143.08/143.35 (define @t471 () (tptp.cast_to_el_of_LattPOSet @t235 @t391)) % 143.08/143.35 (define @t472 () (= @t391 @t471)) % 143.08/143.35 (define @t473 () (or @t465 @t472)) % 143.08/143.35 (define @t474 () (forall @t127 (or @t361 @t213))) % 143.08/143.35 (define @t475 () (forall @t32 (or @t220 @t474))) % 143.08/143.35 (define @t476 () (tptp.cast_to_el_of_LattPOSet @t235 @t26)) % 143.08/143.35 (define @t477 () (not (tptp.element @t26 @t260))) % 143.08/143.35 (define @t478 () (forall @t32 (or @t261 (forall @t127 (or @t477 (= (tptp.below_refl @t235 @t21 @t26) (tptp.related_reflexive @t245 @t259 @t476))))))) % 143.08/143.35 (define @t479 () (or @t254 @t253 @t249 @t478)) % 143.08/143.35 (define @t480 () (@list @t374)) % 143.08/143.35 (define @t481 () (tptp.cast_to_el_of_LattPOSet @t235 @t374)) % 143.08/143.35 (define @t482 () (forall @t127 (or @t477 (= (tptp.below_refl @t235 @t374 @t26) (tptp.related_reflexive @t245 @t481 @t476))))) % 143.08/143.35 (define @t483 () (or @t466 @t482)) % 143.08/143.35 (define @t484 () (tptp.related_reflexive @t245 @t481 @t471)) % 143.08/143.35 (define @t485 () (= @t463 @t484)) % 143.08/143.35 (define @t486 () (or @t465 @t485)) % 143.08/143.35 (define @t487 () (not @t54)) % 143.08/143.35 (define @t488 () (or @t331 @t487 @t53)) % 143.08/143.35 (define @t489 () (= @t60 (and @t57 (forall @t38 @t488)))) % 143.08/143.35 (define @t490 () (forall @t49 (or @t361 @t489))) % 143.08/143.35 (define @t491 () (or @t5 @t223 @t233 @t222 @t490)) % 143.08/143.35 (define @t492 () (=> @t65 @t490)) % 143.08/143.35 (define @t493 () (forall @t49 (or @t477 (= (= @t26 (tptp.join_of_latt_set @t235 @t21)) (and (tptp.latt_element_smaller @t235 @t26 @t21) (forall @t38 (or @t326 (not (tptp.latt_element_smaller @t235 @t33 @t21)) (tptp.below @t235 @t26 @t33)))))))) % 143.08/143.35 (define @t494 () (or @t254 @t249 @t253 @t251 @t493)) % 143.08/143.35 (define @t495 () (forall @t38 (or @t326 (not (tptp.latt_element_smaller @t235 @t33 @t373)) (tptp.below @t235 @t374 @t33)))) % 143.08/143.35 (define @t496 () (tptp.latt_element_smaller @t235 @t374 @t373)) % 143.08/143.35 (define @t497 () (and @t496 @t495)) % 143.08/143.35 (define @t498 () (= (= @t374 @t374) @t497)) % 143.08/143.35 (define @t499 () (or @t466 @t498)) % 143.08/143.35 (define @t500 () (or @t466 @t497)) % 143.08/143.35 (define @t501 () (not @t497)) % 143.08/143.35 (define @t502 () (@list @t497)) % 143.08/143.35 (define @t503 () (not @t448)) % 143.08/143.35 (define @t504 () (or @t465 @t503 @t462)) % 143.08/143.35 (define @t505 () (= @t374 @t481)) % 143.08/143.35 (define @t506 () (or @t466 @t505)) % 143.08/143.35 (define @t507 () (not @t484)) % 143.08/143.35 (define @t508 () (not @t472)) % 143.08/143.35 (define @t509 () (not @t505)) % 143.08/143.35 (define @t510 () (and @t505 @t472 @t445)) % 143.08/143.35 (define @t511 () (not @t397)) % 143.08/143.35 (define @t512 () (not @t390)) % 143.08/143.35 (define @t513 () (not @t172)) % 143.08/143.35 (define @t514 () (forall @t127 (or @t513 @t191))) % 143.08/143.35 (define @t515 () (forall @t127 (or @t477 (= (tptp.latt_element_smaller @t235 @t26 @t373) (tptp.relstr_set_smaller @t245 @t373 @t476))))) % 143.08/143.35 (define @t516 () (or @t254 @t253 @t249 @t515)) % 143.08/143.35 (define @t517 () (tptp.relstr_set_smaller @t245 @t373 @t481)) % 143.08/143.35 (define @t518 () (= @t496 @t517)) % 143.08/143.35 (define @t519 () (or @t466 @t518)) % 143.08/143.35 (define @t520 () (tptp.relstr_set_smaller @t245 @t373 @t374)) % 143.08/143.35 (define @t521 () (not @t520)) % 143.08/143.35 (define @t522 () (or @t414 @t521 @t512)) % 143.08/143.35 (define @t523 () (not @t522)) % 143.08/143.35 (define @t524 () (forall @t127 (or @t370 (not @t439) (not (forall @t38 (or @t366 @t389 @t365)))))) % 143.08/143.35 (define @t525 () (not @t524)) % 143.08/143.35 (define @t526 () (tptp.ex_sup_of_relstr_set @t245 @t373)) % 143.08/143.35 (define @t527 () (= @t526 @t525)) % 143.08/143.35 (define @t528 () (not @t527)) % 143.08/143.35 (define @t529 () (@list true false)) % 143.08/143.35 (define @t530 () (and @t520 @t390)) % 143.08/143.35 (define @t531 () (= @t374 (tptp.join_on_relstr @t245 @t373))) % 143.08/143.35 (define @t532 () (= @t531 @t530)) % 143.08/143.35 (define @t533 () (not @t526)) % 143.08/143.35 (define @t534 () (or @t414 @t533 @t532)) % 143.08/143.35 (define @t535 () (not @t531)) % 143.08/143.35 (define @t536 () (not @t247)) % 143.08/143.35 (define @t537 () (not @t246)) % 143.08/143.35 (define @t538 () (not @t351)) % 143.08/143.35 (define @t539 () (not @t349)) % 143.08/143.35 (define @t540 () (forall @t127 (or @t513 @t171))) % 143.08/143.35 (define @t541 () (@list @t265 @t235)) % 143.08/143.35 (define @t542 () (forall @t127 (or @t477 (= (tptp.latt_set_smaller @t235 @t26 @t265) (tptp.relstr_element_smaller @t245 @t265 @t476))))) % 143.08/143.35 (define @t543 () (or @t254 @t253 @t249 @t542)) % 143.08/143.35 (define @t544 () (tptp.relstr_element_smaller @t245 @t265 @t320)) % 143.08/143.35 (define @t545 () (= @t348 @t544)) % 143.08/143.35 (define @t546 () (or @t322 @t545)) % 143.08/143.35 (define @t547 () (not @t35)) % 143.08/143.35 (define @t548 () (or @t331 @t547 @t34)) % 143.08/143.35 (define @t549 () (forall @t38 @t548)) % 143.08/143.35 (define @t550 () (and @t40 @t549)) % 143.08/143.35 (define @t551 () (= @t43 @t550)) % 143.08/143.35 (define @t552 () (not @t45)) % 143.08/143.35 (define @t553 () (or @t361 @t552 @t551)) % 143.08/143.35 (define @t554 () (forall @t49 @t553)) % 143.08/143.35 (define @t555 () (=> @t45 @t551)) % 143.08/143.35 (define @t556 () (tptp.related @t245 @t33 @t26)) % 143.08/143.35 (define @t557 () (forall @t38 (or @t366 (not (tptp.relstr_element_smaller @t245 @t21 @t33)) @t556))) % 143.08/143.35 (define @t558 () (tptp.relstr_element_smaller @t245 @t21 @t26)) % 143.08/143.35 (define @t559 () (tptp.ex_inf_of_relstr_set @t245 @t21)) % 143.08/143.35 (define @t560 () (forall @t49 (or @t370 (not @t559) (= (= @t26 (tptp.meet_on_relstr @t245 @t21)) (and @t558 @t557))))) % 143.08/143.35 (define @t561 () (or @t280 @t560)) % 143.08/143.35 (define @t562 () (not (tptp.relstr_element_smaller @t245 @t265 @t33))) % 143.08/143.35 (define @t563 () (forall @t38 (or @t366 @t562 (tptp.related @t245 @t33 @t266)))) % 143.08/143.35 (define @t564 () (tptp.relstr_element_smaller @t245 @t265 @t266)) % 143.08/143.35 (define @t565 () (and @t564 @t563)) % 143.08/143.35 (define @t566 () (= (= @t266 @t266) @t565)) % 143.08/143.35 (define @t567 () (tptp.ex_inf_of_relstr_set @t245 @t265)) % 143.08/143.35 (define @t568 () (not @t567)) % 143.08/143.35 (define @t569 () (not @t279)) % 143.08/143.35 (define @t570 () (or @t569 @t568 @t566)) % 143.08/143.35 (define @t571 () (or @t569 @t568 @t565)) % 143.08/143.35 (define @t572 () (not @t549)) % 143.08/143.35 (define @t573 () (not @t40)) % 143.08/143.35 (define @t574 () (or @t361 @t573 @t572)) % 143.08/143.35 (define @t575 () (forall @t32 (= @t45 (not (forall @t127 @t574))))) % 143.08/143.35 (define @t576 () (and @t47 @t40 @t549)) % 143.08/143.35 (define @t577 () (forall @t127 (not @t576))) % 143.08/143.35 (define @t578 () (not @t577)) % 143.08/143.35 (define @t579 () (forall @t32 (= @t559 (not (forall @t127 (or @t370 (not @t558) (not @t557))))))) % 143.08/143.35 (define @t580 () (or @t387 @t280 @t579)) % 143.08/143.35 (define @t581 () (forall @t38 (or @t366 @t562 (tptp.related @t245 @t33 @t350)))) % 143.08/143.35 (define @t582 () (@quantifiers_skolemize @t581 0)) % 143.08/143.35 (define @t583 () (tptp.element @t582 @t278)) % 143.08/143.35 (define @t584 () (tptp.related @t245 @t582 @t350)) % 143.08/143.35 (define @t585 () (tptp.relstr_element_smaller @t245 @t265 @t582)) % 143.08/143.35 (define @t586 () (not @t585)) % 143.08/143.35 (define @t587 () (not @t583)) % 143.08/143.35 (define @t588 () (or @t587 @t586 @t584)) % 143.08/143.35 (define @t589 () (tptp.element @t350 @t260)) % 143.08/143.35 (define @t590 () (or @t254 @t249 @t589)) % 143.08/143.35 (define @t591 () (tptp.element @t350 @t278)) % 143.08/143.35 (define @t592 () (tptp.related_reflexive @t245 @t582 @t350)) % 143.08/143.35 (define @t593 () (not @t591)) % 143.08/143.35 (define @t594 () (or @t398 @t415 @t280 @t587 @t593 (= @t592 @t584))) % 143.08/143.35 (define @t595 () (= @t584 @t592)) % 143.08/143.35 (define @t596 () (or @t398 @t415 @t280 @t587 @t593 @t595)) % 143.08/143.35 (define @t597 () (@list @t582)) % 143.08/143.35 (define @t598 () (tptp.cast_to_el_of_lattice @t235 @t582)) % 143.08/143.35 (define @t599 () (= @t582 @t598)) % 143.08/143.35 (define @t600 () (or @t587 @t599)) % 143.08/143.35 (define @t601 () (forall @t127 (or @t429 @t179))) % 143.08/143.35 (define @t602 () (tptp.relstr_element_smaller @t245 @t265 @t26)) % 143.08/143.35 (define @t603 () (forall @t127 (or @t370 (= @t602 (tptp.latt_set_smaller @t235 @t438 @t265))))) % 143.08/143.35 (define @t604 () (or @t254 @t253 @t249 @t603)) % 143.08/143.35 (define @t605 () (tptp.latt_set_smaller @t235 @t598 @t265)) % 143.08/143.35 (define @t606 () (= @t585 @t605)) % 143.08/143.35 (define @t607 () (or @t587 @t606)) % 143.08/143.35 (define @t608 () (not @t592)) % 143.08/143.35 (define @t609 () (tptp.element @t582 @t260)) % 143.08/143.35 (define @t610 () (and @t305 @t583)) % 143.08/143.35 (define @t611 () (tptp.latt_set_smaller @t235 @t582 @t265)) % 143.08/143.35 (define @t612 () (and @t599 @t605)) % 143.08/143.35 (define @t613 () (tptp.cast_to_el_of_LattPOSet @t235 @t582)) % 143.08/143.35 (define @t614 () (= @t582 @t613)) % 143.08/143.35 (define @t615 () (not @t609)) % 143.08/143.35 (define @t616 () (or @t615 @t614)) % 143.08/143.35 (define @t617 () (forall @t127 (or @t477 (= (tptp.below_refl @t235 @t582 @t26) (tptp.related_reflexive @t245 @t613 @t476))))) % 143.08/143.35 (define @t618 () (or @t615 @t617)) % 143.08/143.35 (define @t619 () (= @t336 @t350)) % 143.08/143.35 (define @t620 () (tptp.below_refl @t235 @t33 @t350)) % 143.08/143.35 (define @t621 () (and (tptp.latt_set_smaller @t235 @t350 @t26) (forall @t38 (or @t326 @t335 @t620)))) % 143.08/143.35 (define @t622 () (= (= @t350 @t336) @t621)) % 143.08/143.35 (define @t623 () (forall @t127 @t622)) % 143.08/143.35 (define @t624 () (not @t589)) % 143.08/143.35 (define @t625 () (or @t624 @t623)) % 143.08/143.35 (define @t626 () (@list @t350)) % 143.08/143.35 (define @t627 () (forall @t127 (= @t621 @t619))) % 143.08/143.35 (define @t628 () (or @t624 @t627)) % 143.08/143.35 (define @t629 () (forall @t38 (or @t326 @t325 @t620))) % 143.08/143.35 (define @t630 () (tptp.latt_set_smaller @t235 @t350 @t265)) % 143.08/143.35 (define @t631 () (and @t630 @t629)) % 143.08/143.35 (define @t632 () (= @t350 @t350)) % 143.08/143.35 (define @t633 () (= @t631 @t632)) % 143.08/143.35 (define @t634 () (not @t631)) % 143.08/143.35 (define @t635 () (@list @t631)) % 143.08/143.35 (define @t636 () (tptp.below_refl @t235 @t582 @t350)) % 143.08/143.35 (define @t637 () (not @t611)) % 143.08/143.35 (define @t638 () (or @t615 @t637 @t636)) % 143.08/143.35 (define @t639 () (tptp.cast_to_el_of_LattPOSet @t235 @t350)) % 143.08/143.35 (define @t640 () (tptp.related_reflexive @t245 @t613 @t639)) % 143.08/143.35 (define @t641 () (= @t636 @t640)) % 143.08/143.35 (define @t642 () (or @t624 @t641)) % 143.08/143.35 (define @t643 () (= @t350 @t639)) % 143.08/143.35 (define @t644 () (or @t624 @t643)) % 143.08/143.35 (define @t645 () (not @t640)) % 143.08/143.35 (define @t646 () (not @t614)) % 143.08/143.35 (define @t647 () (not @t643)) % 143.08/143.35 (define @t648 () (and @t640 @t614 @t643 @t608)) % 143.08/143.35 (define @t649 () (not @t588)) % 143.08/143.35 (define @t650 () (not @t581)) % 143.08/143.35 (define @t651 () (tptp.relstr_element_smaller @t245 @t265 @t639)) % 143.08/143.35 (define @t652 () (= @t630 @t651)) % 143.08/143.35 (define @t653 () (or @t624 @t652)) % 143.08/143.35 (define @t654 () (tptp.relstr_element_smaller @t245 @t265 @t350)) % 143.08/143.35 (define @t655 () (not @t654)) % 143.08/143.35 (define @t656 () (or @t593 @t655 @t650)) % 143.08/143.35 (define @t657 () (not @t656)) % 143.08/143.35 (define @t658 () (forall @t127 (or @t370 (not @t602) (not (forall @t38 (or @t366 @t562 @t556)))))) % 143.08/143.35 (define @t659 () (not @t658)) % 143.08/143.35 (define @t660 () (= @t567 @t659)) % 143.08/143.35 (define @t661 () (not @t660)) % 143.08/143.35 (define @t662 () (not @t565)) % 143.08/143.35 (define @t663 () (@list @t565)) % 143.08/143.35 (define @t664 () (and @t321 @t564)) % 143.08/143.35 (define @t665 () (not @t321)) % 143.08/143.35 (define @t666 () (not @t327)) % 143.08/143.35 (define @t667 () (tptp.below_refl @t235 @t328 @t266)) % 143.08/143.35 (define @t668 () (tptp.latt_set_smaller @t235 @t328 @t265)) % 143.08/143.35 (define @t669 () (not @t668)) % 143.08/143.35 (define @t670 () (tptp.element @t328 @t260)) % 143.08/143.35 (define @t671 () (not @t670)) % 143.08/143.35 (define @t672 () (or @t671 @t669 @t667)) % 143.08/143.35 (define @t673 () (not @t672)) % 143.08/143.35 (define @t674 () (@list @t672)) % 143.08/143.35 (define @t675 () (tptp.cast_to_el_of_LattPOSet @t235 @t328)) % 143.08/143.35 (define @t676 () (= @t328 @t675)) % 143.08/143.35 (define @t677 () (or @t671 @t676)) % 143.08/143.35 (define @t678 () (forall @t127 (or @t477 (= (tptp.below_refl @t235 @t328 @t26) (tptp.related_reflexive @t245 @t675 @t476))))) % 143.08/143.35 (define @t679 () (or @t671 @t678)) % 143.08/143.35 (define @t680 () (tptp.related_reflexive @t245 @t675 @t320)) % 143.08/143.35 (define @t681 () (= @t667 @t680)) % 143.08/143.35 (define @t682 () (or @t322 @t681)) % 143.08/143.35 (define @t683 () (not @t680)) % 143.08/143.35 (define @t684 () (tptp.related_reflexive @t245 @t328 @t266)) % 143.08/143.35 (define @t685 () (tptp.related @t245 @t328 @t266)) % 143.08/143.35 (define @t686 () (tptp.element @t328 @t278)) % 143.08/143.35 (define @t687 () (not @t686)) % 143.08/143.35 (define @t688 () (or @t398 @t415 @t280 @t687 @t569 (= @t684 @t685))) % 143.08/143.35 (define @t689 () (= @t685 @t684)) % 143.08/143.35 (define @t690 () (or @t398 @t415 @t280 @t687 @t569 @t689)) % 143.08/143.35 (define @t691 () (and @t305 @t670)) % 143.08/143.35 (define @t692 () (tptp.relstr_element_smaller @t245 @t265 @t328)) % 143.08/143.35 (define @t693 () (not @t692)) % 143.08/143.35 (define @t694 () (or @t687 @t693 @t685)) % 143.08/143.35 (define @t695 () (tptp.relstr_element_smaller @t245 @t265 @t675)) % 143.08/143.35 (define @t696 () (= @t668 @t695)) % 143.08/143.35 (define @t697 () (or @t671 @t696)) % 143.08/143.35 (define @t698 () (and @t676 @t695)) % 143.08/143.35 (define @t699 () (not @t676)) % 143.08/143.35 (define @t700 () (not @t684)) % 143.08/143.35 (define @t701 () (and @t321 @t676 @t683)) % 143.08/143.35 (assume @p1 @t13) % 143.08/143.35 (assume @p2 @t20) % 143.08/143.35 (assume @p3 (forall @t23 (=> @t22 (not (tptp.in @t21 @t1))))) % 143.08/143.35 (assume @p4 (forall @t12 (=> @t25 @t24))) % 143.08/143.35 (assume @p5 (forall @t29 (=> @t28 (tptp.relation @t26)))) % 143.08/143.35 (assume @p6 (forall @t12 (=> @t24 (forall @t32 (=> @t31 @t30))))) % 143.08/143.35 (assume @p7 @t52) % 143.08/143.35 (assume @p8 @t69) % 143.08/143.35 (assume @p9 (forall @t12 (=> @t67 (forall @t32 (= @t70 (tptp.join_of_latt_set @t1 (tptp.a_2_2_lattice3 @t1 @t21))))))) % 143.08/143.35 (assume @p10 @t75) % 143.08/143.35 (assume @p11 @t81) % 143.08/143.35 (assume @p12 @t88) % 143.08/143.35 (assume @p13 @t103) % 143.08/143.35 (assume @p14 (forall @t23 (=> @t106 (and @t105 (tptp.rel_str @t104))))) % 143.08/143.35 (assume @p15 @t108) % 143.08/143.35 (assume @p16 @t110) % 143.08/143.35 (assume @p17 true) % 143.08/143.35 (assume @p18 (forall @t23 (=> @t19 (tptp.element @t95 @t15)))) % 143.08/143.35 (assume @p19 @t112) % 143.08/143.35 (assume @p20 @t114) % 143.08/143.35 (assume @p21 @t120) % 143.08/143.35 (assume @p22 (forall @t23 (=> (and @t6 @t8 @t11 @t77) (tptp.element @t76 @t83)))) % 143.08/143.35 (assume @p23 (forall @t23 (=> (and @t6 @t8 @t11 @t84) (tptp.element @t82 @t15)))) % 143.08/143.35 (assume @p24 (forall @t12 (=> @t74 (tptp.relation @t121)))) % 143.08/143.35 (assume @p25 (forall @t12 (=> @t123 @t122))) % 143.08/143.35 (assume @p26 (forall @t12 (=> @t19 @t122))) % 143.08/143.35 (assume @p27 (forall @t12 (=> @t124 @t122))) % 143.08/143.35 (assume @p28 (forall @t12 (=> @t11 (and @t123 @t124)))) % 143.08/143.35 (assume @p29 (forall @t29 (=> @t125 @t28))) % 143.08/143.35 (assume @p30 (forall @t12 (=> @t19 (tptp.relation_of2_as_subset @t14 @t15 @t15)))) % 143.08/143.35 (assume @p31 (exists @t12 @t123)) % 143.08/143.35 (assume @p32 (exists @t12 @t19)) % 143.08/143.35 (assume @p33 (exists @t12 @t122)) % 143.08/143.35 (assume @p34 (exists @t12 @t124)) % 143.08/143.35 (assume @p35 (exists @t12 @t11)) % 143.08/143.35 (assume @p36 (forall @t23 (exists @t127 @t126))) % 143.08/143.35 (assume @p37 (forall @t12 (exists @t32 (tptp.element @t21 @t1)))) % 143.08/143.35 (assume @p38 (forall @t23 (exists @t127 @t125))) % 143.08/143.35 (assume @p39 (forall @t23 (=> (and @t24 @t30) (tptp.finite @t27)))) % 143.08/143.35 (assume @p40 (forall @t23 (=> (and @t128 @t106) (and (not (tptp.empty_carrier @t104)) @t105)))) % 143.08/143.35 (assume @p41 (forall @t12 (=> @t129 (not (tptp.empty @t15))))) % 143.08/143.35 (assume @p42 (tptp.empty tptp.empty_set)) % 143.08/143.35 (assume @p43 (forall @t12 (=> (and @t132 @t131 @t130 @t19) (and (tptp.relation @t14) (tptp.reflexive @t14) (tptp.antisymmetric @t14) (tptp.transitive @t14) (tptp.v1_partfun1 @t14 @t15 @t15))))) % 143.08/143.35 (assume @p44 (forall @t23 (=> (and (tptp.reflexive @t21) (tptp.antisymmetric @t21) (tptp.transitive @t21) (tptp.v1_partfun1 @t21 @t1 @t1) @t106) (and @t105 (tptp.reflexive_relstr @t104) (tptp.transitive_relstr @t104) (tptp.antisymmetric_relstr @t104))))) % 143.08/143.35 (assume @p45 @t134) % 143.08/143.35 (assume @p46 (forall @t29 (=> (and @t138 @t136) (= (tptp.in @t1 (tptp.a_2_2_lattice3 @t21 @t26)) (exists @t38 (and (tptp.element @t33 @t135) (= @t1 @t33) (tptp.latt_set_smaller @t21 @t33 @t26))))))) % 143.08/143.35 (assume @p47 @t145) % 143.08/143.35 (assume @p48 (exists @t12 (and @t128 @t24))) % 143.08/143.35 (assume @p49 (exists @t12 (and @t19 @t17))) % 143.08/143.35 (assume @p50 (exists @t12 @t25)) % 143.08/143.35 (assume @p51 (exists @t12 (and @t19 @t6 @t17 @t132 @t131 @t130))) % 143.08/143.35 (assume @p52 (exists @t12 @t128)) % 143.08/143.35 (assume @p53 (forall @t12 (=> @t128 (exists @t32 (and @t31 @t147 @t30))))) % 143.08/143.35 (assume @p54 (exists @t12 (and @t122 @t6))) % 143.08/143.35 (assume @p55 (forall @t12 (=> @t129 (exists @t32 (and (tptp.element @t21 (tptp.powerset @t15)) @t147))))) % 143.08/143.35 (assume @p56 (forall @t12 (=> @t74 (= @t71 @t121)))) % 143.08/143.35 (assume @p57 (forall @t29 (= @t125 @t126))) % 143.08/143.35 (assume @p58 @t151) % 143.08/143.35 (assume @p59 @t154) % 143.08/143.35 (assume @p60 (forall @t23 (tptp.subset @t1 @t1))) % 143.08/143.35 (assume @p61 (forall @t29 (=> @t150 (tptp.below_refl @t1 @t21 @t21)))) % 143.08/143.35 (assume @p62 (forall @t29 (=> @t153 (tptp.related_reflexive @t1 @t21 @t21)))) % 143.08/143.35 (assume @p63 @t161) % 143.08/143.35 (assume @p64 @t167) % 143.08/143.35 (assume @p65 (forall @t23 (=> @t22 @t168))) % 143.08/143.35 (assume @p66 @t177) % 143.08/143.35 (assume @p67 @t183) % 143.08/143.35 (assume @p68 @t189) % 143.08/143.35 (assume @p69 (forall @t23 (=> @t168 (or @t146 @t22)))) % 143.08/143.35 (assume @p70 (forall @t23 (=> (forall @t127 (= (tptp.in @t26 @t1) (tptp.in @t26 @t21))) @t190))) % 143.08/143.35 (assume @p71 @t194) % 143.08/143.35 (assume @p72 @t198) % 143.08/143.35 (assume @p73 @t211) % 143.08/143.35 (assume @p74 (forall @t23 (= (tptp.element @t1 (tptp.powerset @t21)) (tptp.subset @t1 @t21)))) % 143.08/143.35 (assume @p75 (forall @t29 (=> (and @t22 @t212) (tptp.element @t1 @t26)))) % 143.08/143.35 (assume @p76 (forall @t29 (not (and @t22 @t212 (tptp.empty @t26))))) % 143.08/143.35 (assume @p77 (forall @t12 (=> @t25 (= @t1 tptp.empty_set)))) % 143.08/143.35 (assume @p78 (forall @t23 (not (and @t22 @t146)))) % 143.08/143.35 (assume @p79 @t218) % 143.08/143.35 (assume @p80 (forall @t23 (not (and @t25 (not @t190) @t146)))) % 143.08/143.35 (step @p81 :rule aci_norm :args ((= (or @t224 @t221) (or @t5 @t223 @t222 @t221)))) % 143.08/143.35 (step @p82 :rule refl :args (@t221)) % 143.08/143.35 (step @p83 :rule refl :args (@t222)) % 143.08/143.35 (step @p84 :rule refl :args (@t223)) % 143.08/143.35 (step @p85 :rule bool-double-not-elim :args (@t5)) % 143.08/143.35 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args (@t226)) % 143.08/143.35 (step @p87 :rule aci_norm :args ((= (or @t225 (or @t223 @t222)) @t226))) % 143.08/143.35 (step @p88 :rule trans :premises (@p87 @p86)) % 143.08/143.35 (step @p89 :rule bool-and-de-morgan :args (@t8 @t11 true)) % 143.08/143.35 (step @p90 :rule refl :args (@t225)) % 143.08/143.35 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t225 (not (and @t8 @t11))))) % 143.08/143.35 (step @p92 :rule bool-and-de-morgan :args (@t6 @t8 (and @t11))) % 143.08/143.35 (step @p93 :rule trans :premises (@p92 @p91)) % 143.08/143.35 (step @p94 :rule trans :premises (@p93 @p88)) % 143.08/143.35 (step @p95 :rule nary_cong :premises (@p94 @p82) :args ((or @t227 @t221))) % 143.08/143.35 (step @p96 :rule trans :premises (@p95 @p81)) % 143.08/143.35 (step @p97 :rule bool-impl-elim :args (@t74 @t221)) % 143.08/143.35 (step @p98 :rule trans :premises (@p97 @p96)) % 143.08/143.35 (step @p99 :rule cong :premises (@p98) :args ((forall @t12 (=> @t74 @t221)))) % 143.08/143.35 (step @p100 :rule bool-impl-elim :args (@t77 @t219)) % 143.08/143.35 (step @p101 :rule cong :premises (@p100) :args ((forall @t32 (=> @t77 @t219)))) % 143.08/143.35 (step @p102 :rule eq-symm :args (@t76 @t21)) % 143.08/143.35 (step @p103 :rule refl :args (@t77)) % 143.08/143.35 (step @p104 :rule cong :premises (@p103 @p102) :args (@t78)) % 143.08/143.35 (step @p105 :rule cong :premises (@p104) :args (@t79)) % 143.08/143.35 (step @p106 :rule trans :premises (@p105 @p101)) % 143.08/143.35 (step @p107 :rule refl :args (@t74)) % 143.08/143.35 (step @p108 :rule cong :premises (@p107 @p106) :args (@t80)) % 143.08/143.35 (step @p109 :rule cong :premises (@p108) :args (@t81)) % 143.08/143.35 (step @p110 :rule trans :premises (@p109 @p99)) % 143.08/143.35 (step @p111 :rule eq_resolve :premises (@p11 @p110)) % 143.08/143.35 (step @p112 :rule instantiate :premises (@p111) :args (@t236)) % 143.08/143.35 (step @p113 :rule aci_norm :args ((= (or @t237 @t232) @t234))) % 143.08/143.35 (step @p114 :rule refl :args (@t232)) % 143.08/143.35 (step @p115 :rule refl :args (@t233)) % 143.08/143.35 (step @p116 :rule nary_cong :premises (@p85 @p84 @p115 @p83) :args (@t238)) % 143.08/143.35 (step @p117 :rule aci_norm :args ((= (or @t225 (or @t223 (or @t233 @t222))) @t238))) % 143.08/143.35 (step @p118 :rule trans :premises (@p117 @p116)) % 143.08/143.35 (step @p119 :rule bool-and-de-morgan :args (@t64 @t11 true)) % 143.08/143.35 (step @p120 :rule nary_cong :premises (@p84 @p119) :args ((or @t223 (not (and @t64 @t11))))) % 143.08/143.35 (step @p121 :rule bool-and-de-morgan :args (@t8 @t64 (and @t11))) % 143.08/143.35 (step @p122 :rule trans :premises (@p121 @p120)) % 143.08/143.35 (step @p123 :rule nary_cong :premises (@p90 @p122) :args ((or @t225 (not (and @t8 @t64 @t11))))) % 143.08/143.35 (step @p124 :rule bool-and-de-morgan :args (@t6 @t8 (and @t64 @t11))) % 143.08/143.35 (step @p125 :rule trans :premises (@p124 @p123)) % 143.08/143.35 (step @p126 :rule trans :premises (@p125 @p118)) % 143.08/143.35 (step @p127 :rule nary_cong :premises (@p126 @p114) :args ((or @t239 @t232))) % 143.08/143.35 (step @p128 :rule trans :premises (@p127 @p113)) % 143.08/143.35 (step @p129 :rule bool-impl-elim :args (@t65 @t232)) % 143.08/143.35 (step @p130 :rule trans :premises (@p129 @p128)) % 143.08/143.35 (step @p131 :rule cong :premises (@p130) :args ((forall @t12 (=> @t65 @t232)))) % 143.08/143.35 (step @p132 :rule alpha_equiv :args (@t240 @t241 (@list @t228))) % 143.08/143.35 (step @p133 :rule alpha_equiv :args (@t242 @t241 (@list @t230))) % 143.08/143.35 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t243)) % 143.08/143.35 (step @p135 :rule quant-miniscope-and :args ((= @t186 @t243))) % 143.08/143.35 (step @p136 :rule trans :premises (@p135 @p134)) % 143.08/143.35 (step @p137 :rule refl :args (@t65)) % 143.08/143.35 (step @p138 :rule cong :premises (@p137 @p136) :args (@t187)) % 143.08/143.35 (step @p139 :rule cong :premises (@p138) :args (@t188)) % 143.08/143.35 (step @p140 :rule trans :premises (@p139 @p131)) % 143.08/143.35 (step @p141 :rule cong :premises (@p140) :args (@t189)) % 143.08/143.35 (step @p142 :rule eq_resolve :premises (@p68 @p141)) % 143.08/143.35 (step @p143 :rule skolemize :premises (@p142)) % 143.08/143.35 (step @p144 :rule bool-double-not-elim :args (@t244)) % 143.08/143.35 (step @p145 :rule refl :args (@t255)) % 143.08/143.35 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t255 (not @t249)))) % 143.08/143.35 (step @p147 :rule cnf_or_neg :args (@t255 3)) % 143.08/143.35 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 143.08/143.35 (step @p149 :rule reordering :premises (@p148) :args ((or @t244 @t255))) % 143.08/143.35 (step @p150 :rule chain_m_resolution :premises (@p149 @p143) :args (@t244 @t256 @t257)) % 143.08/143.35 (step @p151 :rule bool-double-not-elim :args (@t252)) % 143.08/143.35 (step @p152 :rule nary_cong :premises (@p145 @p151) :args ((or @t255 (not @t253)))) % 143.08/143.35 (step @p153 :rule cnf_or_neg :args (@t255 1)) % 143.08/143.35 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 143.08/143.35 (step @p155 :rule reordering :premises (@p154) :args ((or @t252 @t255))) % 143.08/143.35 (step @p156 :rule chain_m_resolution :premises (@p155 @p143) :args (@t252 @t256 @t257)) % 143.08/143.35 (step @p157 :rule cnf_or_neg :args (@t255 0)) % 143.08/143.35 (step @p158 :rule chain_m_resolution :premises (@p157 @p143) :args (@t258 @t256 @t257)) % 143.08/143.35 (step @p159 :rule cnf_or_pos :args (@t263)) % 143.08/143.35 (step @p160 :rule reordering :premises (@p159) :args ((or @t254 @t253 @t249 @t262 (not @t263)))) % 143.08/143.35 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p156 @p150 @p112) :args (@t262 @t264 (@list @t254 @t252 @t244 @t263))) % 143.08/143.35 (step @p162 :rule instantiate :premises (@p161) :args (@t267)) % 143.08/143.35 (step @p163 :rule bool-impl-elim :args (@t19 @t113)) % 143.08/143.35 (step @p164 :rule cong :premises (@p163) :args (@t114)) % 143.08/143.35 (step @p165 :rule eq_resolve :premises (@p20 @p164)) % 143.08/143.35 (step @p166 :rule instantiate :premises (@p165) :args ((@list @t245 @t265))) % 143.08/143.35 (step @p167 :rule aci_norm :args ((= (or @t224 @t119) (or @t5 @t223 @t222 @t119)))) % 143.08/143.35 (step @p168 :rule refl :args (@t119)) % 143.08/143.35 (step @p169 :rule nary_cong :premises (@p94 @p168) :args ((or @t227 @t119))) % 143.08/143.35 (step @p170 :rule trans :premises (@p169 @p167)) % 143.08/143.35 (step @p171 :rule bool-impl-elim :args (@t74 @t119)) % 143.08/143.35 (step @p172 :rule trans :premises (@p171 @p170)) % 143.08/143.35 (step @p173 :rule cong :premises (@p172) :args (@t120)) % 143.08/143.35 (step @p174 :rule eq_resolve :premises (@p21 @p173)) % 143.08/143.35 (step @p175 :rule instantiate :premises (@p174) :args (@t236)) % 143.08/143.35 (step @p176 :rule cnf_or_pos :args (@t274)) % 143.08/143.35 (step @p177 :rule reordering :premises (@p176) :args ((or @t254 @t253 @t249 @t273 (not @t274)))) % 143.08/143.35 (step @p178 :rule chain_m_resolution :premises (@p177 @p158 @p156 @p150 @p175) :args (@t273 @t264 (@list @t254 @t252 @t244 @t274))) % 143.08/143.35 (step @p179 :rule cnf_and_pos :args (@t273 4)) % 143.08/143.35 (step @p180 :rule reordering :premises (@p179) :args ((or @t268 @t275))) % 143.08/143.35 (step @p181 :rule chain_m_resolution :premises (@p180 @p178) :args (@t268 @t276 @t277)) % 143.08/143.35 (step @p182 :rule cnf_or_pos :args (@t281)) % 143.08/143.35 (step @p183 :rule reordering :premises (@p182) :args ((or @t280 @t279 (not @t281)))) % 143.08/143.35 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p166) :args (@t279 @t282 (@list @t268 @t281))) % 143.08/143.35 (step @p185 :rule true_intro :premises (@p184)) % 143.08/143.35 (step @p186 :rule bool-impl-elim :args (@t106 @t283)) % 143.08/143.35 (step @p187 :rule cong :premises (@p186) :args ((forall @t23 (=> @t106 @t283)))) % 143.08/143.35 (step @p188 :rule bool-impl-elim :args (@t141 @t139)) % 143.08/143.35 (step @p189 :rule cong :premises (@p188) :args (@t143)) % 143.08/143.35 (step @p190 :rule refl :args (@t106)) % 143.08/143.35 (step @p191 :rule cong :premises (@p190 @p189) :args (@t144)) % 143.08/143.35 (step @p192 :rule cong :premises (@p191) :args (@t145)) % 143.08/143.35 (step @p193 :rule trans :premises (@p192 @p187)) % 143.08/143.35 (step @p194 :rule eq_resolve :premises (@p47 @p193)) % 143.08/143.35 (step @p195 :rule eq-symm :args (@t284 @t33)) % 143.08/143.35 (step @p196 :rule eq-symm :args (@t260 @t26)) % 143.08/143.35 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t285)) % 143.08/143.35 (step @p198 :rule eq-symm :args (@t286 @t140)) % 143.08/143.35 (step @p199 :rule cong :premises (@p198) :args (@t287)) % 143.08/143.35 (step @p200 :rule nary_cong :premises (@p199 @p197) :args (@t288)) % 143.08/143.35 (step @p201 :rule cong :premises (@p200) :args (@t289)) % 143.08/143.35 (step @p202 :rule refl :args (@t291)) % 143.08/143.35 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t292)) % 143.08/143.35 (step @p204 :rule refl :args (@t293)) % 143.08/143.35 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t293 @t292))) % 143.08/143.35 (assume-push @p1469 @t293) % 143.08/143.35 (step @p207 :rule instantiate :premises (@p194) :args ((@list @t260 @t284))) % 143.08/143.35 (step-pop @p1470 :rule scope :premises (@p207)) % 143.08/143.35 (step @p208 :rule process_scope :premises (@p1470) :args (@t292)) % 143.08/143.35 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 143.08/143.35 (step @p211 :rule implies_elim :premises (@p210)) % 143.08/143.35 (step @p212 :rule chain_m_resolution :premises (@p211 @p194) :args (@t295 @t276 (@list @t293))) % 143.08/143.35 (step @p213 :rule instantiate :premises (@p57) :args ((@list @t260 @t260 @t284))) % 143.08/143.35 (step @p214 :rule aci_norm :args ((= (or @t224 @t111) (or @t5 @t223 @t222 @t111)))) % 143.08/143.35 (step @p215 :rule refl :args (@t111)) % 143.08/143.35 (step @p216 :rule nary_cong :premises (@p94 @p215) :args ((or @t227 @t111))) % 143.08/143.35 (step @p217 :rule trans :premises (@p216 @p214)) % 143.08/143.35 (step @p218 :rule bool-impl-elim :args (@t74 @t111)) % 143.08/143.35 (step @p219 :rule trans :premises (@p218 @p217)) % 143.08/143.35 (step @p220 :rule cong :premises (@p219) :args (@t112)) % 143.08/143.35 (step @p221 :rule eq_resolve :premises (@p19 @p220)) % 143.08/143.35 (step @p222 :rule instantiate :premises (@p221) :args (@t236)) % 143.08/143.35 (step 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@p1280 :rule eq_resolve :premises (@p1279 @p1278)) % 143.08/143.36 (step @p1281 :rule reordering :premises (@p1280) :args ((or @t567 @t658 @t661))) % 143.08/143.36 (step @p1282 :rule chain_m_resolution :premises (@p1281 @p1274 @p1031) :args (@t567 @t529 (@list @t658 @t660))) % 143.08/143.36 (step @p1283 :rule cnf_or_pos :args (@t571)) % 143.08/143.36 (step @p1284 :rule reordering :premises (@p1283) :args ((or @t568 @t569 @t565 (not @t571)))) % 143.08/143.36 (step @p1285 :rule chain_m_resolution :premises (@p1284 @p1282 @p184 @p1000) :args (@t565 @t316 (@list @t567 @t279 @t571))) % 143.08/143.36 (step @p1286 :rule cnf_and_pos :args (@t565 0)) % 143.08/143.36 (step @p1287 :rule reordering :premises (@p1286) :args ((or @t564 @t662))) % 143.08/143.36 (step @p1288 :rule chain_m_resolution :premises (@p1287 @p1285) :args (@t564 @t276 @t663)) % 143.08/143.36 (assume-push @p1563 @t321) % 143.08/143.36 (assume-push @p1564 @t564) % 143.08/143.36 (assume-push @p1565 @t564) % 143.08/143.36 (assume-push @p1566 @t321) % 143.08/143.36 (step @p1293 :rule true_intro :premises (@p1564)) % 143.08/143.36 (step @p1294 :rule symm :premises (@p292)) % 143.08/143.36 (step @p1295 :rule cong :premises (@p814 @p1127 @p1294) :args (@t544)) % 143.08/143.36 (step @p1296 :rule trans :premises (@p1295 @p1293)) % 143.08/143.36 (step @p1297 :rule true_elim :premises (@p1296)) % 143.08/143.36 (step-pop @p1567 :rule scope :premises (@p1297)) % 143.08/143.36 (step-pop @p1568 :rule scope :premises (@p1567)) % 143.08/143.36 (step @p1298 :rule process_scope :premises (@p1568) :args (@t544)) % 143.08/143.36 (step @p1301 :rule and_intro :premises (@p1564 @p292)) % 143.08/143.36 (step @p1302 :rule modus_ponens :premises (@p1301 @p1298)) % 143.08/143.36 (step-pop @p1569 :rule scope :premises (@p1302)) % 143.08/143.36 (step-pop @p1570 :rule scope :premises (@p1569)) % 143.08/143.36 (step @p1303 :rule process_scope :premises (@p1570) :args (@t544)) % 143.08/143.36 (step @p1306 :rule implies_elim :premises (@p1303)) % 143.08/143.36 (step @p1307 :rule cnf_and_neg :args (@t664)) % 143.08/143.36 (step @p1308 :rule resolution :premises (@p1307 @p1306) :args (true @t664)) % 143.08/143.36 (step @p1309 :rule reordering :premises (@p1308) :args ((or @t544 @t665 (not @t564)))) % 143.08/143.36 (step @p1310 :rule chain_m_resolution :premises (@p1309 @p292 @p1288) :args (@t544 @t282 (@list @t321 @t564))) % 143.08/143.36 (step @p1311 :rule cnf_equiv_pos2 :args (@t545)) % 143.08/143.36 (step @p1312 :rule reordering :premises (@p1311) :args ((or @t348 (not @t544) (not @t545)))) % 143.08/143.36 (step @p1313 :rule chain_m_resolution :premises (@p1312 @p1310 @p948) :args (@t348 @t282 (@list @t544 @t545))) % 143.08/143.36 (step @p1314 :rule cnf_and_neg :args (@t349)) % 143.08/143.36 (step @p1315 :rule reordering :premises (@p1314) :args ((or (not @t348) @t349 @t666))) % 143.08/143.36 (step @p1316 :rule chain_m_resolution :premises (@p1315 @p1313 @p927) :args (@t666 (@list false true) (@list @t348 @t349))) % 143.08/143.36 (step @p1317 :rule refl :args (@t673)) % 143.08/143.36 (step @p1318 :rule bool-double-not-elim :args (@t327)) % 143.08/143.36 (step @p1319 :rule nary_cong :premises (@p1318 @p1317) :args ((or (not @t666) @t673))) % 143.08/143.36 (assume-push @p1571 @t666) % 143.08/143.36 (step @p1321 :rule skolemize :premises (@p1571)) % 143.08/143.36 (step-pop @p1572 :rule scope :premises (@p1321)) % 143.08/143.36 (step @p1322 :rule process_scope :premises (@p1572) :args (@t673)) % 143.08/143.36 (step @p1324 :rule implies_elim :premises (@p1322)) % 143.08/143.36 (step @p1325 :rule eq_resolve :premises (@p1324 @p1319)) % 143.08/143.36 (step @p1326 :rule chain_m_resolution :premises (@p1325 @p1316) :args (@t673 @t256 (@list @t327))) % 143.08/143.36 (step @p1327 :rule bool-double-not-elim :args (@t670)) % 143.08/143.36 (step @p1328 :rule refl :args (@t672)) % 143.08/143.36 (step @p1329 :rule nary_cong :premises (@p1328 @p1327) :args ((or @t672 (not @t671)))) % 143.08/143.36 (step @p1330 :rule cnf_or_neg :args (@t672 0)) % 143.08/143.36 (step @p1331 :rule eq_resolve :premises (@p1330 @p1329)) % 143.08/143.36 (step @p1332 :rule reordering :premises (@p1331) :args ((or @t670 @t672))) % 143.08/143.36 (step @p1333 :rule chain_m_resolution :premises (@p1332 @p1326) :args (@t670 @t256 @t674)) % 143.08/143.36 (step @p1334 :rule cnf_or_pos :args (@t677)) % 143.08/143.36 (step @p1335 :rule reordering :premises (@p1334) :args ((or @t671 @t676 (not @t677)))) % 143.08/143.36 (step @p1336 :rule chain_m_resolution :premises (@p1335 @p1333 @p293) :args (@t676 @t282 (@list @t670 @t677))) % 143.08/143.36 (step @p1337 :rule instantiate :premises (@p719) :args (@t329)) % 143.08/143.36 (step @p1338 :rule cnf_or_pos :args (@t679)) % 143.08/143.36 (step @p1339 :rule reordering :premises (@p1338) :args ((or @t671 @t678 (not @t679)))) % 143.08/143.36 (step @p1340 :rule chain_m_resolution :premises (@p1339 @p1333 @p1337) :args (@t678 @t282 (@list @t670 @t679))) % 143.08/143.36 (assume-push @p1573 @t678) % 143.08/143.36 (step @p1342 :rule instantiate :premises (@p1573) :args (@t267)) % 143.08/143.36 (step-pop @p1574 :rule scope :premises (@p1342)) % 143.08/143.36 (step @p1343 :rule process_scope :premises (@p1574) :args (@t682)) % 143.08/143.36 (step @p1345 :rule implies_elim :premises (@p1343)) % 143.08/143.36 (step @p1346 :rule chain_m_resolution :premises (@p1345 @p1340) :args (@t682 @t276 (@list @t678))) % 143.08/143.36 (step @p1347 :rule cnf_or_pos :args (@t682)) % 143.08/143.36 (step @p1348 :rule reordering :premises (@p1347) :args ((or @t322 @t681 (not @t682)))) % 143.08/143.36 (step @p1349 :rule chain_m_resolution :premises (@p1348 @p289 @p1346) :args (@t681 @t282 (@list @t319 @t682))) % 143.08/143.36 (step @p1350 :rule cnf_or_neg :args (@t672 2)) % 143.08/143.36 (step @p1351 :rule chain_m_resolution :premises (@p1350 @p1326) :args ((not @t667) @t256 @t674)) % 143.08/143.36 (step @p1352 :rule cnf_equiv_pos2 :args (@t681)) % 143.08/143.36 (step @p1353 :rule reordering :premises (@p1352) :args ((or @t667 @t683 (not @t681)))) % 143.08/143.36 (step @p1354 :rule chain_m_resolution :premises (@p1353 @p1351 @p1349) :args (@t683 @t529 (@list @t667 @t681))) % 143.08/143.36 (step @p1355 :rule eq-symm :args (@t684 @t685)) % 143.08/143.36 (step @p1356 :rule refl :args (@t687)) % 143.08/143.36 (step @p1357 :rule nary_cong :premises (@p516 @p515 @p514 @p1356 @p990 @p1355) :args (@t688)) % 143.08/143.36 (step @p1358 :rule cong :premises (@p518 @p1357) :args ((=> @t417 @t688))) % 143.08/143.36 (assume-push @p1575 @t417) % 143.08/143.36 (step @p1360 :rule instantiate :premises (@p510) :args ((@list @t245 @t328 @t266))) % 143.08/143.36 (step-pop @p1576 :rule scope :premises (@p1360)) % 143.08/143.36 (step @p1361 :rule process_scope :premises (@p1576) :args (@t688)) % 143.08/143.36 (step @p1363 :rule eq_resolve :premises (@p1361 @p1358)) % 143.08/143.36 (step @p1364 :rule implies_elim :premises (@p1363)) % 143.08/143.36 (step @p1365 :rule chain_m_resolution :premises (@p1364 @p510) :args (@t690 @t276 @t420)) % 143.08/143.36 (assume-push @p1577 @t305) % 143.08/143.36 (assume-push @p1578 @t670) % 143.08/143.36 (assume-push @p1579 @t670) % 143.08/143.36 (assume-push @p1580 @t305) % 143.08/143.36 (step @p1370 :rule true_intro :premises (@p1578)) % 143.08/143.36 (step @p1371 :rule refl :args (@t328)) % 143.08/143.36 (step @p1372 :rule cong :premises (@p1371 @p482) :args (@t686)) % 143.08/143.36 (step @p1373 :rule trans :premises (@p1372 @p1370)) % 143.08/143.36 (step @p1374 :rule true_elim :premises (@p1373)) % 143.08/143.36 (step-pop @p1581 :rule scope :premises (@p1374)) % 143.08/143.36 (step-pop @p1582 :rule scope :premises (@p1581)) % 143.08/143.36 (step @p1375 :rule process_scope :premises (@p1582) :args (@t686)) % 143.08/143.36 (step @p1378 :rule and_intro :premises (@p1578 @p285)) % 143.08/143.36 (step @p1379 :rule modus_ponens :premises (@p1378 @p1375)) % 143.08/143.36 (step-pop @p1583 :rule scope :premises (@p1379)) % 143.08/143.36 (step-pop @p1584 :rule scope :premises (@p1583)) % 143.08/143.36 (step @p1380 :rule process_scope :premises (@p1584) :args (@t686)) % 143.08/143.36 (step @p1383 :rule implies_elim :premises (@p1380)) % 143.08/143.36 (step @p1384 :rule cnf_and_neg :args (@t691)) % 143.08/143.36 (step @p1385 :rule resolution :premises (@p1384 @p1383) :args (true @t691)) % 143.08/143.36 (step @p1386 :rule chain_m_resolution :premises (@p1385 @p285 @p1333) :args (@t686 @t282 (@list @t305 @t670))) % 143.08/143.36 (step @p1387 :rule cnf_or_pos :args (@t690)) % 143.08/143.36 (step @p1388 :rule reordering :premises (@p1387) :args ((or @t280 @t398 @t415 @t569 @t687 @t689 (not @t690)))) % 143.08/143.36 (step @p1389 :rule chain_m_resolution :premises (@p1388 @p181 @p465 @p450 @p184 @p1386 @p1365) :args (@t689 (@list false true false false false false) (@list @t268 @t398 @t271 @t279 @t686 @t690))) % 143.08/143.36 (step @p1390 :rule cnf_and_pos :args (@t565 1)) % 143.08/143.36 (step @p1391 :rule reordering :premises (@p1390) :args ((or @t563 @t662))) % 143.08/143.36 (step @p1392 :rule chain_m_resolution :premises (@p1391 @p1285) :args (@t563 @t276 @t663)) % 143.08/143.36 (assume-push @p1585 @t563) % 143.08/143.36 (step @p1394 :rule instantiate :premises (@p1585) :args (@t329)) % 143.08/143.36 (step-pop @p1586 :rule scope :premises (@p1394)) % 143.08/143.36 (step @p1395 :rule process_scope :premises (@p1586) :args (@t694)) % 143.08/143.36 (step @p1397 :rule implies_elim :premises (@p1395)) % 143.08/143.36 (step @p1398 :rule chain_m_resolution :premises (@p1397 @p1392) :args (@t694 @t276 (@list @t563))) % 143.08/143.36 (step @p1399 :rule instantiate :premises (@p944) :args (@t329)) % 143.08/143.36 (step @p1400 :rule cnf_or_pos :args (@t697)) % 143.08/143.36 (step @p1401 :rule reordering :premises (@p1400) :args ((or @t671 @t696 (not @t697)))) % 143.08/143.36 (step @p1402 :rule chain_m_resolution :premises (@p1401 @p1333 @p1399) :args (@t696 @t282 (@list @t670 @t697))) % 143.08/143.36 (step @p1403 :rule bool-double-not-elim :args (@t668)) % 143.08/143.36 (step @p1404 :rule nary_cong :premises (@p1328 @p1403) :args ((or @t672 (not @t669)))) % 143.08/143.36 (step @p1405 :rule cnf_or_neg :args (@t672 1)) % 143.08/143.36 (step @p1406 :rule eq_resolve :premises (@p1405 @p1404)) % 143.08/143.36 (step @p1407 :rule reordering :premises (@p1406) :args ((or @t668 @t672))) % 143.08/143.36 (step @p1408 :rule chain_m_resolution :premises (@p1407 @p1326) :args (@t668 @t256 @t674)) % 143.08/143.36 (step @p1409 :rule cnf_equiv_pos1 :args (@t696)) % 143.08/143.36 (step @p1410 :rule reordering :premises (@p1409) :args ((or @t669 @t695 (not @t696)))) % 143.08/143.36 (step @p1411 :rule chain_m_resolution :premises (@p1410 @p1408 @p1402) :args (@t695 @t282 (@list @t668 @t696))) % 143.08/143.36 (assume-push @p1587 @t676) % 143.08/143.36 (assume-push @p1588 @t695) % 143.08/143.36 (assume-push @p1589 @t695) % 143.08/143.36 (assume-push @p1590 @t676) % 143.08/143.36 (step @p1416 :rule true_intro :premises (@p1588)) % 143.08/143.36 (step @p1417 :rule cong :premises (@p814 @p1127 @p1587) :args (@t692)) % 143.08/143.36 (step @p1418 :rule trans :premises (@p1417 @p1416)) % 143.08/143.36 (step @p1419 :rule true_elim :premises (@p1418)) % 143.08/143.36 (step-pop @p1591 :rule scope :premises (@p1419)) % 143.08/143.36 (step-pop @p1592 :rule scope :premises (@p1591)) % 143.08/143.36 (step @p1420 :rule process_scope :premises (@p1592) :args (@t692)) % 143.08/143.36 (step @p1423 :rule and_intro :premises (@p1588 @p1587)) % 143.08/143.36 (step @p1424 :rule modus_ponens :premises (@p1423 @p1420)) % 143.08/143.36 (step-pop @p1593 :rule scope :premises (@p1424)) % 143.08/143.36 (step-pop @p1594 :rule scope :premises (@p1593)) % 143.08/143.36 (step @p1425 :rule process_scope :premises (@p1594) :args (@t692)) % 143.08/143.36 (step @p1428 :rule implies_elim :premises (@p1425)) % 143.08/143.36 (step @p1429 :rule cnf_and_neg :args (@t698)) % 143.08/143.36 (step @p1430 :rule resolution :premises (@p1429 @p1428) :args (true @t698)) % 143.08/143.36 (step @p1431 :rule reordering :premises (@p1430) :args ((or @t692 @t699 (not @t695)))) % 143.08/143.36 (step @p1432 :rule chain_m_resolution :premises (@p1431 @p1336 @p1411) :args (@t692 @t282 (@list @t676 @t695))) % 143.08/143.36 (step @p1433 :rule cnf_or_pos :args (@t694)) % 143.08/143.36 (step @p1434 :rule reordering :premises (@p1433) :args ((or @t687 @t693 @t685 (not @t694)))) % 143.08/143.36 (step @p1435 :rule chain_m_resolution :premises (@p1434 @p1386 @p1432 @p1398) :args (@t685 @t316 (@list @t686 @t692 @t694))) % 143.08/143.36 (step @p1436 :rule cnf_equiv_pos1 :args (@t689)) % 143.08/143.36 (step @p1437 :rule reordering :premises (@p1436) :args ((or (not @t685) @t684 (not @t689)))) % 143.08/143.36 (step @p1438 :rule chain_m_resolution :premises (@p1437 @p1435 @p1389) :args (@t684 @t282 (@list @t685 @t689))) % 143.08/143.36 (step @p1439 :rule refl :args (@t700)) % 143.08/143.36 (step @p1440 :rule bool-double-not-elim :args (@t680)) % 143.08/143.36 (step @p1441 :rule refl :args (@t699)) % 143.08/143.36 (step @p1442 :rule refl :args (@t665)) % 143.08/143.36 (step @p1443 :rule nary_cong :premises (@p1442 @p1441 @p1440 @p1439) :args ((or @t665 @t699 (not @t683) @t700))) % 143.08/143.36 (assume-push @p1595 @t321) % 143.08/143.36 (assume-push @p1596 @t676) % 143.08/143.36 (assume-push @p1597 @t683) % 143.08/143.36 (assume-push @p1598 @t683) % 143.08/143.36 (assume-push @p1599 @t676) % 143.08/143.36 (assume-push @p1600 @t321) % 143.08/143.36 (step @p1450 :rule false_intro :premises (@p1597)) % 143.08/143.36 (step @p1451 :rule cong :premises (@p814 @p1596 @p292) :args (@t684)) % 143.08/143.36 (step @p1452 :rule trans :premises (@p1451 @p1450)) % 143.08/143.36 (step @p1453 :rule false_elim :premises (@p1452)) % 143.08/143.36 (step-pop @p1601 :rule scope :premises (@p1453)) % 143.08/143.36 (step-pop @p1602 :rule scope :premises (@p1601)) % 143.08/143.36 (step-pop @p1603 :rule scope :premises (@p1602)) % 143.08/143.36 (step @p1454 :rule process_scope :premises (@p1603) :args (@t700)) % 143.08/143.36 (step @p1458 :rule and_intro :premises (@p1597 @p1596 @p292)) % 143.08/143.36 (step @p1459 :rule modus_ponens :premises (@p1458 @p1454)) % 143.08/143.36 (step-pop @p1604 :rule scope :premises (@p1459)) % 143.08/143.36 (step-pop @p1605 :rule scope :premises (@p1604)) % 143.08/143.36 (step-pop @p1606 :rule scope :premises (@p1605)) % 143.08/143.36 (step @p1460 :rule process_scope :premises (@p1606) :args (@t700)) % 143.08/143.36 (step @p1464 :rule implies_elim :premises (@p1460)) % 143.08/143.36 (step @p1465 :rule cnf_and_neg :args (@t701)) % 143.08/143.36 (step @p1466 :rule resolution :premises (@p1465 @p1464) :args (true @t701)) % 143.08/143.36 (step @p1467 :rule eq_resolve :premises (@p1466 @p1443)) % 143.08/143.36 (step @p1468 false :rule chain_m_resolution :premises (@p1467 @p1438 @p1354 @p1336 @p292) :args (false (@list false true false false) (@list @t684 @t680 @t676 @t321))) % 143.08/143.36 ) % 143.08/143.36 % SZS output end Proof % 143.08/143.36 % cvc5 exiting %------------------------------------------------------------------------------