%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU352+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 : n014.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 08:51:29 AM UTC 2026 % Result : Theorem 161.51s 161.79s % Output : Proof 159.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU352+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n014.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:00:43 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 161.51/161.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 161.51/161.79 --- Run --no-e-matching --full-saturate-quant at 6... % 161.51/161.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 161.51/161.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 161.51/161.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 161.51/161.79 --- Run --trigger-sel=max --full-saturate-quant at 15... % 161.51/161.79 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 161.51/161.79 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 161.51/161.79 --- Run --prenex-quant=none --full-saturate-quant at 30... % 161.51/161.79 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 161.51/161.79 % SZS status Theorem % 161.51/161.79 % SZS output start Proof % 161.51/161.79 ( % 161.51/161.79 (declare-sort $$unsorted 0) % 161.51/161.79 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.empty_set $$unsorted) % 161.51/161.79 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.empty (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.relation (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.lattice (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.complete_latt_str (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.join_of_latt_set (-> $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 161.51/161.79 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 161.51/161.79 (declare-const tptp.function (-> $$unsorted Bool)) % 161.51/161.79 (define @t1 () (@var "A" $$unsorted)) % 161.51/161.79 (define @t2 () (@var "B" $$unsorted)) % 161.51/161.79 (define @t3 () (tptp.in @t1 @t2)) % 161.51/161.79 (define @t4 () (@list @t1 @t2)) % 161.51/161.79 (define @t5 () (tptp.join_absorbing @t1)) % 161.51/161.79 (define @t6 () (tptp.meet_absorbing @t1)) % 161.51/161.79 (define @t7 () (tptp.meet_associative @t1)) % 161.51/161.79 (define @t8 () (tptp.meet_commutative @t1)) % 161.51/161.79 (define @t9 () (tptp.join_commutative @t1)) % 161.51/161.79 (define @t10 () (tptp.empty_carrier @t1)) % 161.51/161.79 (define @t11 () (not @t10)) % 161.51/161.79 (define @t12 () (and @t11 @t9 (tptp.join_associative @t1) @t8 @t7 @t6 @t5)) % 161.51/161.79 (define @t13 () (tptp.lattice @t1)) % 161.51/161.79 (define @t14 () (and @t11 @t13)) % 161.51/161.79 (define @t15 () (=> @t14 @t12)) % 161.51/161.79 (define @t16 () (tptp.latt_str @t1)) % 161.51/161.79 (define @t17 () (@list @t1)) % 161.51/161.79 (define @t18 () (forall @t17 (=> @t16 @t15))) % 161.51/161.79 (define @t19 () (@var "C" $$unsorted)) % 161.51/161.79 (define @t20 () (tptp.cartesian_product2 @t1 @t2)) % 161.51/161.79 (define @t21 () (tptp.element @t19 (tptp.powerset @t20))) % 161.51/161.79 (define @t22 () (@list @t1 @t2 @t19)) % 161.51/161.79 (define @t23 () (tptp.unordered_pair @t1 @t2)) % 161.51/161.79 (define @t24 () (tptp.meet_commut @t1 @t2 @t19)) % 161.51/161.79 (define @t25 () (= @t24 (tptp.meet_commut @t1 @t19 @t2))) % 161.51/161.79 (define @t26 () (tptp.the_carrier @t1)) % 161.51/161.79 (define @t27 () (tptp.element @t19 @t26)) % 161.51/161.79 (define @t28 () (tptp.element @t2 @t26)) % 161.51/161.79 (define @t29 () (tptp.meet_semilatt_str @t1)) % 161.51/161.79 (define @t30 () (and @t11 @t8 @t29 @t28 @t27)) % 161.51/161.79 (define @t31 () (forall @t22 (=> @t30 @t25))) % 161.51/161.79 (define @t32 () (tptp.meet @t1 @t19 @t2)) % 161.51/161.79 (define @t33 () (tptp.meet @t1 @t2 @t19)) % 161.51/161.79 (define @t34 () (and (= @t33 @t2) (= @t32 @t2))) % 161.51/161.79 (define @t35 () (=> @t27 @t34)) % 161.51/161.79 (define @t36 () (@list @t19)) % 161.51/161.79 (define @t37 () (forall @t36 @t35)) % 161.51/161.79 (define @t38 () (and @t28 @t37)) % 161.51/161.79 (define @t39 () (@list @t2)) % 161.51/161.79 (define @t40 () (exists @t39 @t38)) % 161.51/161.79 (define @t41 () (tptp.lower_bounded_semilattstr @t1)) % 161.51/161.79 (define @t42 () (= @t41 @t40)) % 161.51/161.79 (define @t43 () (and @t11 @t29)) % 161.51/161.79 (define @t44 () (=> @t43 @t42)) % 161.51/161.79 (define @t45 () (forall @t17 @t44)) % 161.51/161.79 (define @t46 () (tptp.bottom_of_semilattstr @t1)) % 161.51/161.79 (define @t47 () (= @t2 @t46)) % 161.51/161.79 (define @t48 () (=> @t28 (= @t47 @t37))) % 161.51/161.79 (define @t49 () (forall @t39 @t48)) % 161.51/161.79 (define @t50 () (=> @t41 @t49)) % 161.51/161.79 (define @t51 () (=> @t43 @t50)) % 161.51/161.79 (define @t52 () (forall @t17 @t51)) % 161.51/161.79 (define @t53 () (@var "D" $$unsorted)) % 161.51/161.79 (define @t54 () (tptp.below @t1 @t53 @t2)) % 161.51/161.79 (define @t55 () (tptp.in @t53 @t19)) % 161.51/161.79 (define @t56 () (=> @t55 @t54)) % 161.51/161.79 (define @t57 () (tptp.element @t53 @t26)) % 161.51/161.79 (define @t58 () (@list @t53)) % 161.51/161.79 (define @t59 () (forall @t58 (=> @t57 @t56))) % 161.51/161.79 (define @t60 () (tptp.latt_element_smaller @t1 @t2 @t19)) % 161.51/161.79 (define @t61 () (= @t60 @t59)) % 161.51/161.79 (define @t62 () (forall @t36 @t61)) % 161.51/161.79 (define @t63 () (=> @t28 @t62)) % 161.51/161.79 (define @t64 () (forall @t39 @t63)) % 161.51/161.79 (define @t65 () (and @t11 @t16)) % 161.51/161.79 (define @t66 () (=> @t65 @t64)) % 161.51/161.79 (define @t67 () (forall @t17 @t66)) % 161.51/161.79 (define @t68 () (@list @t2 @t19)) % 161.51/161.79 (define @t69 () (tptp.below @t1 @t19 @t53)) % 161.51/161.79 (define @t70 () (tptp.latt_element_smaller @t1 @t53 @t2)) % 161.51/161.79 (define @t71 () (=> @t70 @t69)) % 161.51/161.79 (define @t72 () (forall @t58 (=> @t57 @t71))) % 161.51/161.79 (define @t73 () (tptp.latt_element_smaller @t1 @t19 @t2)) % 161.51/161.79 (define @t74 () (and @t73 @t72)) % 161.51/161.79 (define @t75 () (tptp.join_of_latt_set @t1 @t2)) % 161.51/161.79 (define @t76 () (= @t19 @t75)) % 161.51/161.79 (define @t77 () (= @t76 @t74)) % 161.51/161.79 (define @t78 () (=> @t27 @t77)) % 161.51/161.79 (define @t79 () (forall @t68 @t78)) % 161.51/161.79 (define @t80 () (tptp.complete_latt_str @t1)) % 161.51/161.79 (define @t81 () (and @t11 @t13 @t80 @t16)) % 161.51/161.79 (define @t82 () (=> @t81 @t79)) % 161.51/161.79 (define @t83 () (=> @t65 @t82)) % 161.51/161.79 (define @t84 () (forall @t17 @t83)) % 161.51/161.79 (define @t85 () (tptp.the_L_meet @t1)) % 161.51/161.79 (define @t86 () (tptp.singleton @t1)) % 161.51/161.79 (define @t87 () (tptp.element @t75 @t26)) % 161.51/161.79 (define @t88 () (forall @t4 (=> @t65 @t87))) % 161.51/161.79 (define @t89 () (@var "F" $$unsorted)) % 161.51/161.79 (define @t90 () (@var "E" $$unsorted)) % 161.51/161.79 (define @t91 () (tptp.apply_binary_as_element @t1 @t2 @t19 @t53 @t90 @t89)) % 161.51/161.79 (define @t92 () (tptp.empty @t2)) % 161.51/161.79 (define @t93 () (not @t92)) % 161.51/161.79 (define @t94 () (tptp.empty @t1)) % 161.51/161.79 (define @t95 () (not @t94)) % 161.51/161.79 (define @t96 () (and @t95 @t93 (tptp.function @t53) (tptp.quasi_total @t53 @t20 @t19) (tptp.relation_of2 @t53 @t20 @t19) (tptp.element @t90 @t1) (tptp.element @t89 @t2))) % 161.51/161.79 (define @t97 () (@list @t1 @t2 @t19 @t53 @t90 @t89)) % 161.51/161.79 (define @t98 () (tptp.element @t33 @t26)) % 161.51/161.79 (define @t99 () (and @t11 @t29 @t28 @t27)) % 161.51/161.79 (define @t100 () (forall @t22 (=> @t99 @t98))) % 161.51/161.79 (define @t101 () (tptp.element @t24 @t26)) % 161.51/161.79 (define @t102 () (forall @t22 (=> @t30 @t101))) % 161.51/161.79 (define @t103 () (tptp.element @t46 @t26)) % 161.51/161.79 (define @t104 () (forall @t17 (=> @t43 @t103))) % 161.51/161.79 (define @t105 () (tptp.one_sorted_str @t1)) % 161.51/161.79 (define @t106 () (tptp.join_semilatt_str @t1)) % 161.51/161.79 (define @t107 () (and @t29 @t106)) % 161.51/161.79 (define @t108 () (forall @t17 (=> @t16 @t107))) % 161.51/161.79 (define @t109 () (tptp.relation_of2_as_subset @t19 @t1 @t2)) % 161.51/161.79 (define @t110 () (tptp.cartesian_product2 @t26 @t26)) % 161.51/161.79 (define @t111 () (tptp.quasi_total @t85 @t110 @t26)) % 161.51/161.79 (define @t112 () (tptp.function @t85)) % 161.51/161.79 (define @t113 () (tptp.relation_of2 @t19 @t1 @t2)) % 161.51/161.79 (define @t114 () (and @t11 @t105)) % 161.51/161.79 (define @t115 () (tptp.powerset @t1)) % 161.51/161.79 (define @t116 () (tptp.empty tptp.empty_set)) % 161.51/161.79 (define @t117 () (tptp.v1_partfun1 @t85 @t110 @t26)) % 161.51/161.79 (define @t118 () (tptp.relation @t85)) % 161.51/161.79 (define @t119 () (tptp.element @t2 @t115)) % 161.51/161.79 (define @t120 () (= @t24 @t33)) % 161.51/161.79 (define @t121 () (forall @t22 (=> @t30 @t120))) % 161.51/161.79 (define @t122 () (tptp.below @t1 @t2 @t19)) % 161.51/161.79 (define @t123 () (and @t11 @t8 @t6 @t5 @t16 @t28 @t27)) % 161.51/161.79 (define @t124 () (tptp.subset @t1 @t1)) % 161.51/161.79 (define @t125 () (forall @t4 @t124)) % 161.51/161.79 (define @t126 () (tptp.element @t1 @t2)) % 161.51/161.79 (define @t127 () (tptp.below @t1 @t24 @t2)) % 161.51/161.79 (define @t128 () (forall @t36 (=> @t27 @t127))) % 161.51/161.79 (define @t129 () (=> @t28 @t128)) % 161.51/161.79 (define @t130 () (forall @t39 @t129)) % 161.51/161.79 (define @t131 () (and @t11 @t8 @t6 @t16)) % 161.51/161.79 (define @t132 () (=> @t131 @t130)) % 161.51/161.79 (define @t133 () (forall @t17 @t132)) % 161.51/161.79 (define @t134 () (= @t2 @t19)) % 161.51/161.79 (define @t135 () (tptp.below @t1 @t19 @t2)) % 161.51/161.79 (define @t136 () (and @t122 @t135)) % 161.51/161.79 (define @t137 () (=> @t136 @t134)) % 161.51/161.79 (define @t138 () (forall @t36 (=> @t27 @t137))) % 161.51/161.79 (define @t139 () (=> @t28 @t138)) % 161.51/161.79 (define @t140 () (forall @t39 @t139)) % 161.51/161.79 (define @t141 () (and @t11 @t9 @t106)) % 161.51/161.79 (define @t142 () (=> @t141 @t140)) % 161.51/161.79 (define @t143 () (forall @t17 @t142)) % 161.51/161.79 (define @t144 () (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 161.51/161.79 (define @t145 () (tptp.element @t2 (tptp.powerset @t19))) % 161.51/161.79 (define @t146 () (and @t11 @t13 @t41 @t16 (= @t46 (tptp.join_of_latt_set @t1 tptp.empty_set)))) % 161.51/161.79 (define @t147 () (forall @t17 (=> @t81 @t146))) % 161.51/161.79 (define @t148 () (not @t147)) % 161.51/161.79 (define @t149 () (tptp.empty @t19)) % 161.51/161.79 (define @t150 () (forall @t22 (not (and @t3 @t145 @t149)))) % 161.51/161.79 (define @t151 () (not @t27)) % 161.51/161.79 (define @t152 () (not @t28)) % 161.51/161.79 (define @t153 () (not @t29)) % 161.51/161.79 (define @t154 () (not @t8)) % 161.51/161.79 (define @t155 () (or @t10 @t154 @t153 @t152 @t151)) % 161.51/161.79 (define @t156 () (not @t11)) % 161.51/161.79 (define @t157 () (or @t156 @t154 @t153 @t152 @t151)) % 161.51/161.79 (define @t158 () (or @t153 (or @t152 @t151))) % 161.51/161.79 (define @t159 () (not (and @t29 @t28 @t27))) % 161.51/161.79 (define @t160 () (not @t30)) % 161.51/161.79 (define @t161 () (not @t16)) % 161.51/161.79 (define @t162 () (not @t80)) % 161.51/161.79 (define @t163 () (not @t13)) % 161.51/161.79 (define @t164 () (or @t10 @t163 @t162 @t161 @t146)) % 161.51/161.79 (define @t165 () (@quantifiers_skolemize (forall @t17 @t164) 0)) % 161.51/161.79 (define @t166 () (tptp.bottom_of_semilattstr @t165)) % 161.51/161.79 (define @t167 () (@list @t165 @t166 @t166)) % 161.51/161.79 (define @t168 () (or @t10 @t153)) % 161.51/161.79 (define @t169 () (not @t43)) % 161.51/161.79 (define @t170 () (@list @t165)) % 161.51/161.79 (define @t171 () (or @t10 @t163 @t162 @t161)) % 161.51/161.79 (define @t172 () (or @t156 @t163 @t162 @t161)) % 161.51/161.79 (define @t173 () (not @t81)) % 161.51/161.79 (define @t174 () (tptp.latt_str @t165)) % 161.51/161.79 (define @t175 () (tptp.join_of_latt_set @t165 tptp.empty_set)) % 161.51/161.79 (define @t176 () (= @t166 @t175)) % 161.51/161.79 (define @t177 () (tptp.lower_bounded_semilattstr @t165)) % 161.51/161.79 (define @t178 () (tptp.lattice @t165)) % 161.51/161.79 (define @t179 () (tptp.empty_carrier @t165)) % 161.51/161.79 (define @t180 () (not @t179)) % 161.51/161.79 (define @t181 () (and @t180 @t178 @t177 @t174 @t176)) % 161.51/161.79 (define @t182 () (not @t174)) % 161.51/161.79 (define @t183 () (tptp.complete_latt_str @t165)) % 161.51/161.79 (define @t184 () (not @t183)) % 161.51/161.79 (define @t185 () (not @t178)) % 161.51/161.79 (define @t186 () (or @t179 @t185 @t184 @t182 @t181)) % 161.51/161.79 (define @t187 () (@list true)) % 161.51/161.79 (define @t188 () (@list @t186)) % 161.51/161.79 (define @t189 () (tptp.join_semilatt_str @t165)) % 161.51/161.79 (define @t190 () (tptp.meet_semilatt_str @t165)) % 161.51/161.79 (define @t191 () (and @t190 @t189)) % 161.51/161.79 (define @t192 () (or @t182 @t191)) % 161.51/161.79 (define @t193 () (@list false false)) % 161.51/161.79 (define @t194 () (not @t191)) % 161.51/161.79 (define @t195 () (@list false)) % 161.51/161.79 (define @t196 () (@list @t191)) % 161.51/161.79 (define @t197 () (tptp.the_carrier @t165)) % 161.51/161.79 (define @t198 () (tptp.element @t166 @t197)) % 161.51/161.79 (define @t199 () (not @t190)) % 161.51/161.79 (define @t200 () (or @t179 @t199 @t198)) % 161.51/161.79 (define @t201 () (@list true false false)) % 161.51/161.79 (define @t202 () (or @t10 @t163 @t12)) % 161.51/161.79 (define @t203 () (tptp.meet_absorbing @t165)) % 161.51/161.79 (define @t204 () (tptp.meet_commutative @t165)) % 161.51/161.79 (define @t205 () (tptp.join_commutative @t165)) % 161.51/161.79 (define @t206 () (and @t180 @t205 (tptp.join_associative @t165) @t204 (tptp.meet_associative @t165) @t203 (tptp.join_absorbing @t165))) % 161.51/161.79 (define @t207 () (or @t182 @t179 @t185 @t206)) % 161.51/161.79 (define @t208 () (@list true false false false)) % 161.51/161.79 (define @t209 () (not @t206)) % 161.51/161.79 (define @t210 () (@list @t206)) % 161.51/161.79 (define @t211 () (tptp.meet_commut @t165 @t166 @t166)) % 161.51/161.79 (define @t212 () (tptp.element @t211 @t197)) % 161.51/161.79 (define @t213 () (not @t198)) % 161.51/161.79 (define @t214 () (not @t204)) % 161.51/161.79 (define @t215 () (or @t179 @t214 @t199 @t213 @t213 @t212)) % 161.51/161.79 (define @t216 () (@list true false false false false)) % 161.51/161.79 (define @t217 () (not (tptp.element @t19 @t197))) % 161.51/161.79 (define @t218 () (forall @t36 (or @t217 (and (= @t211 (tptp.meet @t165 @t211 @t19)) (= @t211 (tptp.meet @t165 @t19 @t211)))))) % 161.51/161.79 (define @t219 () (not @t218)) % 161.51/161.79 (define @t220 () (not @t212)) % 161.51/161.79 (define @t221 () (or @t220 @t219)) % 161.51/161.79 (define @t222 () (@list @t175)) % 161.51/161.79 (define @t223 () (= @t211 (tptp.meet @t165 @t175 @t211))) % 161.51/161.79 (define @t224 () (and (= @t211 (tptp.meet @t165 @t211 @t175)) @t223)) % 161.51/161.79 (define @t225 () (tptp.element @t175 @t197)) % 161.51/161.79 (define @t226 () (not @t225)) % 161.51/161.79 (define @t227 () (or @t226 @t224)) % 161.51/161.79 (define @t228 () (forall @t39 (or (not (tptp.element @t2 @t197)) (not (forall @t36 (or @t217 (and (= @t2 (tptp.meet @t165 @t2 @t19)) (= @t2 (tptp.meet @t165 @t19 @t2))))))))) % 161.51/161.79 (define @t229 () (or @t10 @t161)) % 161.51/161.79 (define @t230 () (not @t65)) % 161.51/161.79 (define @t231 () (or @t179 @t182 @t225)) % 161.51/161.79 (define @t232 () (and (= @t2 @t33) (= @t2 @t32))) % 161.51/161.79 (define @t233 () (forall @t36 (or @t151 @t232))) % 161.51/161.79 (define @t234 () (= @t41 (not (forall @t39 (or @t152 (not @t233)))))) % 161.51/161.79 (define @t235 () (and @t28 @t233)) % 161.51/161.79 (define @t236 () (forall @t39 (not @t235))) % 161.51/161.79 (define @t237 () (not @t236)) % 161.51/161.79 (define @t238 () (not @t228)) % 161.51/161.79 (define @t239 () (= @t177 @t238)) % 161.51/161.79 (define @t240 () (or @t179 @t199 @t239)) % 161.51/161.79 (define @t241 () (not @t239)) % 161.51/161.79 (define @t242 () (not @t176)) % 161.51/161.79 (define @t243 () (not @t177)) % 161.51/161.79 (define @t244 () (@var "BOUND_VARIABLE_7852" $$unsorted)) % 161.51/161.79 (define @t245 () (= @t46 @t244)) % 161.51/161.79 (define @t246 () (forall @t36 (or @t151 (and (= @t244 (tptp.meet @t1 @t244 @t19)) (= @t244 (tptp.meet @t1 @t19 @t244)))))) % 161.51/161.79 (define @t247 () (= (= @t244 @t46) @t246)) % 161.51/161.79 (define @t248 () (not (tptp.element @t244 @t26))) % 161.51/161.79 (define @t249 () (not @t41)) % 161.51/161.79 (define @t250 () (or @t10 @t153 @t249 @t248 @t247)) % 161.51/161.79 (define @t251 () (or @t248 @t247)) % 161.51/161.79 (define @t252 () (or @t10 @t153 @t249 @t251)) % 161.51/161.79 (define @t253 () (@list @t1 @t244)) % 161.51/161.79 (define @t254 () (forall @t253 @t252)) % 161.51/161.79 (define @t255 () (@list @t244)) % 161.51/161.79 (define @t256 () (forall @t255 @t252)) % 161.51/161.79 (define @t257 () (forall @t255 @t251)) % 161.51/161.79 (define @t258 () (or @t10 @t153 @t249 @t257)) % 161.51/161.79 (define @t259 () (= @t47 @t233)) % 161.51/161.79 (define @t260 () (forall @t39 (or @t152 @t259))) % 161.51/161.79 (define @t261 () (or @t10 @t153 @t249 @t260)) % 161.51/161.79 (define @t262 () (=> @t41 @t260)) % 161.51/161.79 (define @t263 () (forall @t36 (or @t217 (and (= @t166 (tptp.meet @t165 @t166 @t19)) (= @t166 (tptp.meet @t165 @t19 @t166)))))) % 161.51/161.79 (define @t264 () (= @t263 (= @t166 @t166))) % 161.51/161.79 (define @t265 () (or @t179 @t199 @t243 @t213 @t264)) % 161.51/161.79 (define @t266 () (forall @t253 (or @t10 @t153 @t249 @t248 (= @t246 @t245)))) % 161.51/161.79 (define @t267 () (or @t179 @t199 @t243 @t213 @t263)) % 161.51/161.79 (define @t268 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 161.51/161.79 (define @t269 () (@var "BOUND_VARIABLE_7961" $$unsorted)) % 161.51/161.79 (define @t270 () (not @t57)) % 161.51/161.79 (define @t271 () (= (= @t268 (tptp.join_of_latt_set @t1 @t269)) (and (tptp.latt_element_smaller @t1 @t268 @t269) (forall @t58 (or @t270 (not (tptp.latt_element_smaller @t1 @t53 @t269)) (tptp.below @t1 @t268 @t53)))))) % 161.51/161.79 (define @t272 () (not (tptp.element @t268 @t26))) % 161.51/161.79 (define @t273 () (or @t10 @t161 @t163 @t162 @t272 @t271)) % 161.51/161.79 (define @t274 () (or @t272 @t271)) % 161.51/161.79 (define @t275 () (or @t10 @t161 @t163 @t162 @t274)) % 161.51/161.79 (define @t276 () (@list @t1 @t269 @t268)) % 161.51/161.79 (define @t277 () (forall @t276 @t275)) % 161.51/161.79 (define @t278 () (@list @t269 @t268)) % 161.51/161.79 (define @t279 () (forall @t278 @t275)) % 161.51/161.79 (define @t280 () (forall @t278 @t274)) % 161.51/161.79 (define @t281 () (or @t10 @t161 @t163 @t162 @t280)) % 161.51/161.79 (define @t282 () (not @t70)) % 161.51/161.79 (define @t283 () (or @t270 @t282 @t69)) % 161.51/161.79 (define @t284 () (= @t76 (and @t73 (forall @t58 @t283)))) % 161.51/161.79 (define @t285 () (forall @t68 (or @t151 @t284))) % 161.51/161.79 (define @t286 () (or @t10 @t161 @t163 @t162 @t285)) % 161.51/161.79 (define @t287 () (or @t10 @t163 @t162 @t161 @t285)) % 161.51/161.79 (define @t288 () (=> @t81 @t285)) % 161.51/161.79 (define @t289 () (not (tptp.element @t53 @t197))) % 161.51/161.79 (define @t290 () (forall @t58 (or @t289 (not (tptp.latt_element_smaller @t165 @t53 tptp.empty_set)) (tptp.below @t165 @t175 @t53)))) % 161.51/161.79 (define @t291 () (and (tptp.latt_element_smaller @t165 @t175 tptp.empty_set) @t290)) % 161.51/161.79 (define @t292 () (= (= @t175 @t175) @t291)) % 161.51/161.79 (define @t293 () (or @t179 @t182 @t185 @t184 @t226 @t292)) % 161.51/161.79 (define @t294 () (forall @t276 @t273)) % 161.51/161.79 (define @t295 () (or @t179 @t182 @t185 @t184 @t226 @t291)) % 161.51/161.79 (define @t296 () (@list true false false false false false)) % 161.51/161.79 (define @t297 () (@list @t166)) % 161.51/161.79 (define @t298 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 161.51/161.79 (define @t299 () (@var "BOUND_VARIABLE_7906" $$unsorted)) % 161.51/161.79 (define @t300 () (= (tptp.latt_element_smaller @t1 @t298 @t299) (forall @t58 (or @t270 (not (tptp.in @t53 @t299)) (tptp.below @t1 @t53 @t298))))) % 161.51/161.79 (define @t301 () (not (tptp.element @t298 @t26))) % 161.51/161.79 (define @t302 () (or @t301 @t300)) % 161.51/161.79 (define @t303 () (or @t10 @t161 @t302)) % 161.51/161.79 (define @t304 () (forall (@list @t1 @t298 @t299) @t303)) % 161.51/161.79 (define @t305 () (@list @t298 @t299)) % 161.51/161.79 (define @t306 () (forall @t305 @t303)) % 161.51/161.79 (define @t307 () (forall @t305 @t302)) % 161.51/161.79 (define @t308 () (@var "BOUND_VARIABLE_7887" $$unsorted)) % 161.51/161.79 (define @t309 () (or @t10 @t161 @t307)) % 161.51/161.79 (define @t310 () (= (tptp.latt_element_smaller @t1 @t2 @t308) (forall @t58 (or @t270 (not (tptp.in @t53 @t308)) @t54)))) % 161.51/161.79 (define @t311 () (or @t152 @t310)) % 161.51/161.79 (define @t312 () (forall (@list @t2 @t308) @t311)) % 161.51/161.79 (define @t313 () (or @t10 @t161 @t312)) % 161.51/161.79 (define @t314 () (@list @t308)) % 161.51/161.79 (define @t315 () (forall @t314 @t311)) % 161.51/161.79 (define @t316 () (forall @t314 @t310)) % 161.51/161.79 (define @t317 () (@list @t19)) % 161.51/161.79 (define @t318 () (or @t152 @t316)) % 161.51/161.79 (define @t319 () (not @t55)) % 161.51/161.79 (define @t320 () (or @t270 @t319 @t54)) % 161.51/161.79 (define @t321 () (forall @t36 (= @t60 (forall @t58 @t320)))) % 161.51/161.79 (define @t322 () (not (tptp.in @t53 tptp.empty_set))) % 161.51/161.79 (define @t323 () (forall @t58 (or @t289 @t322 (tptp.below @t165 @t53 @t166)))) % 161.51/161.79 (define @t324 () (tptp.latt_element_smaller @t165 @t166 tptp.empty_set)) % 161.51/161.79 (define @t325 () (= @t324 @t323)) % 161.51/161.79 (define @t326 () (or @t179 @t182 @t213 @t325)) % 161.51/161.79 (define @t327 () (not @t149)) % 161.51/161.79 (define @t328 () (not @t145)) % 161.51/161.79 (define @t329 () (not @t3)) % 161.51/161.79 (define @t330 () (@quantifiers_skolemize @t323 0)) % 161.51/161.79 (define @t331 () (tptp.element tptp.empty_set (tptp.powerset tptp.empty_set))) % 161.51/161.79 (define @t332 () (tptp.subset tptp.empty_set tptp.empty_set)) % 161.51/161.79 (define @t333 () (= @t331 @t332)) % 161.51/161.79 (define @t334 () (= @t332 @t331)) % 161.51/161.79 (define @t335 () (not @t116)) % 161.51/161.79 (define @t336 () (not @t331)) % 161.51/161.79 (define @t337 () (tptp.in @t330 tptp.empty_set)) % 161.51/161.79 (define @t338 () (not @t337)) % 161.51/161.79 (define @t339 () (or @t338 @t336 @t335)) % 161.51/161.79 (define @t340 () (@list false false false)) % 161.51/161.79 (define @t341 () (or (not (tptp.element @t330 @t197)) @t338 (tptp.below @t165 @t330 @t166))) % 161.51/161.79 (define @t342 () (not @t341)) % 161.51/161.79 (define @t343 () (not @t323)) % 161.51/161.79 (define @t344 () (tptp.below @t165 @t175 @t166)) % 161.51/161.79 (define @t345 () (not @t324)) % 161.51/161.79 (define @t346 () (or @t213 @t345 @t344)) % 161.51/161.79 (define @t347 () (@var "BOUND_VARIABLE_8255" $$unsorted)) % 161.51/161.79 (define @t348 () (@var "BOUND_VARIABLE_8253" $$unsorted)) % 161.51/161.79 (define @t349 () (= @t348 @t347)) % 161.51/161.79 (define @t350 () (not (tptp.below @t1 @t347 @t348))) % 161.51/161.79 (define @t351 () (not (tptp.below @t1 @t348 @t347))) % 161.51/161.79 (define @t352 () (not (tptp.element @t347 @t26))) % 161.51/161.79 (define @t353 () (not (tptp.element @t348 @t26))) % 161.51/161.79 (define @t354 () (not @t106)) % 161.51/161.79 (define @t355 () (not @t9)) % 161.51/161.79 (define @t356 () (or @t353 @t352 @t351 @t350 @t349)) % 161.51/161.79 (define @t357 () (or @t10 @t355 @t354 @t356)) % 161.51/161.79 (define @t358 () (forall (@list @t1 @t348 @t347) @t357)) % 161.51/161.79 (define @t359 () (@list @t348 @t347)) % 161.51/161.79 (define @t360 () (forall @t359 @t357)) % 161.51/161.79 (define @t361 () (forall @t359 @t356)) % 161.51/161.79 (define @t362 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 161.51/161.79 (define @t363 () (or @t10 @t355 @t354 @t361)) % 161.51/161.79 (define @t364 () (= @t2 @t362)) % 161.51/161.79 (define @t365 () (not (tptp.below @t1 @t362 @t2))) % 161.51/161.79 (define @t366 () (not (tptp.below @t1 @t2 @t362))) % 161.51/161.79 (define @t367 () (not (tptp.element @t362 @t26))) % 161.51/161.79 (define @t368 () (or @t152 @t367 @t366 @t365 @t364)) % 161.51/161.79 (define @t369 () (@list @t2 @t362)) % 161.51/161.79 (define @t370 () (forall @t369 @t368)) % 161.51/161.79 (define @t371 () (or @t10 @t355 @t354 @t370)) % 161.51/161.79 (define @t372 () (or @t156 @t355 @t354)) % 161.51/161.79 (define @t373 () (or @t367 @t366 @t365 @t364)) % 161.51/161.79 (define @t374 () (or @t152 @t373)) % 161.51/161.79 (define @t375 () (forall @t369 @t374)) % 161.51/161.79 (define @t376 () (@list @t362)) % 161.51/161.79 (define @t377 () (forall @t376 @t374)) % 161.51/161.79 (define @t378 () (forall @t376 @t373)) % 161.51/161.79 (define @t379 () (or @t152 @t378)) % 161.51/161.79 (define @t380 () (not @t135)) % 161.51/161.79 (define @t381 () (not @t122)) % 161.51/161.79 (define @t382 () (or @t151 @t381 @t380 @t134)) % 161.51/161.79 (define @t383 () (forall @t36 @t382)) % 161.51/161.79 (define @t384 () (or @t381 @t380 @t134)) % 161.51/161.79 (define @t385 () (@list @t165 @t166 @t175)) % 161.51/161.79 (define @t386 () (not @t344)) % 161.51/161.79 (define @t387 () (tptp.below @t165 @t166 @t175)) % 161.51/161.79 (define @t388 () (not @t387)) % 161.51/161.79 (define @t389 () (not @t189)) % 161.51/161.79 (define @t390 () (not @t205)) % 161.51/161.79 (define @t391 () (or @t179 @t390 @t389 @t213 @t226 @t388 @t386 @t176)) % 161.51/161.79 (define @t392 () (tptp.meet @t165 @t166 @t166)) % 161.51/161.79 (define @t393 () (= @t166 @t392)) % 161.51/161.79 (define @t394 () (and @t393 @t393)) % 161.51/161.79 (define @t395 () (or @t213 @t394)) % 161.51/161.79 (define @t396 () (or @t213 @t393)) % 161.51/161.79 (define @t397 () (tptp.meet_commut @t165 @t175 @t166)) % 161.51/161.79 (define @t398 () (= (tptp.meet_commut @t165 @t166 @t175) @t397)) % 161.51/161.79 (define @t399 () (or @t179 @t214 @t199 @t213 @t226 @t398)) % 161.51/161.79 (define @t400 () (or @t10 @t154 @t153 @t152 @t151 @t120)) % 161.51/161.79 (define @t401 () (= @t211 @t392)) % 161.51/161.79 (define @t402 () (or @t179 @t214 @t199 @t213 @t213 @t401)) % 161.51/161.79 (define @t403 () (@list @t165 @t175 @t166)) % 161.51/161.79 (define @t404 () (tptp.meet @t165 @t175 @t166)) % 161.51/161.79 (define @t405 () (= @t397 @t404)) % 161.51/161.79 (define @t406 () (or @t179 @t214 @t199 @t226 @t213 @t405)) % 161.51/161.79 (define @t407 () (@var "BOUND_VARIABLE_8204" $$unsorted)) % 161.51/161.79 (define @t408 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 161.51/161.79 (define @t409 () (tptp.below @t1 (tptp.meet_commut @t1 @t407 @t408) @t407)) % 161.51/161.79 (define @t410 () (not (tptp.element @t408 @t26))) % 161.51/161.79 (define @t411 () (not (tptp.element @t407 @t26))) % 161.51/161.79 (define @t412 () (not @t6)) % 161.51/161.79 (define @t413 () (or @t411 @t410 @t409)) % 161.51/161.79 (define @t414 () (or @t10 @t154 @t412 @t161 @t413)) % 161.51/161.79 (define @t415 () (forall (@list @t1 @t407 @t408) @t414)) % 161.51/161.79 (define @t416 () (@list @t407 @t408)) % 161.51/161.79 (define @t417 () (forall @t416 @t414)) % 161.51/161.79 (define @t418 () (forall @t416 @t413)) % 161.51/161.79 (define @t419 () (@var "BOUND_VARIABLE_8186" $$unsorted)) % 161.51/161.79 (define @t420 () (or @t10 @t154 @t412 @t161 @t418)) % 161.51/161.79 (define @t421 () (tptp.below @t1 (tptp.meet_commut @t1 @t2 @t419) @t2)) % 161.51/161.79 (define @t422 () (not (tptp.element @t419 @t26))) % 161.51/161.79 (define @t423 () (or @t152 @t422 @t421)) % 161.51/161.79 (define @t424 () (@list @t2 @t419)) % 161.51/161.79 (define @t425 () (forall @t424 @t423)) % 161.51/161.79 (define @t426 () (or @t10 @t154 @t412 @t161 @t425)) % 161.51/161.79 (define @t427 () (or @t156 @t154 @t412 @t161)) % 161.51/161.79 (define @t428 () (or @t422 @t421)) % 161.51/161.79 (define @t429 () (or @t152 @t428)) % 161.51/161.79 (define @t430 () (forall @t424 @t429)) % 161.51/161.79 (define @t431 () (@list @t419)) % 161.51/161.79 (define @t432 () (forall @t431 @t429)) % 161.51/161.79 (define @t433 () (forall @t431 @t428)) % 161.51/161.79 (define @t434 () (or @t152 @t433)) % 161.51/161.79 (define @t435 () (forall @t36 (or @t151 @t127))) % 161.51/161.79 (define @t436 () (tptp.below @t165 @t397 @t175)) % 161.51/161.79 (define @t437 () (not @t203)) % 161.51/161.79 (define @t438 () (or @t179 @t214 @t437 @t182 @t226 @t213 @t436)) % 161.51/161.79 (define @t439 () (not @t223)) % 161.51/161.79 (define @t440 () (not @t393)) % 161.51/161.79 (define @t441 () (not @t436)) % 161.51/161.79 (define @t442 () (not @t405)) % 161.51/161.79 (define @t443 () (not @t401)) % 161.51/161.79 (define @t444 () (not @t398)) % 161.51/161.79 (define @t445 () (and @t388 @t393 @t401 @t223 @t405 @t398 @t436)) % 161.51/161.79 (define @t446 () (@quantifiers_skolemize @t218 0)) % 161.51/161.79 (define @t447 () (= @t211 (tptp.meet @t165 @t446 @t211))) % 161.51/161.79 (define @t448 () (= @t211 (tptp.meet @t165 @t211 @t446))) % 161.51/161.79 (define @t449 () (and @t448 @t447)) % 161.51/161.79 (define @t450 () (tptp.element @t446 @t197)) % 161.51/161.79 (define @t451 () (not @t450)) % 161.51/161.79 (define @t452 () (or @t451 @t449)) % 161.51/161.79 (define @t453 () (not @t452)) % 161.51/161.79 (define @t454 () (forall @t36 (or @t217 (and (= @t175 (tptp.meet @t165 @t175 @t19)) (= @t175 (tptp.meet @t165 @t19 @t175)))))) % 161.51/161.79 (define @t455 () (@quantifiers_skolemize @t454 0)) % 161.51/161.79 (define @t456 () (tptp.element @t455 @t197)) % 161.51/161.79 (define @t457 () (tptp.meet @t165 @t455 @t175)) % 161.51/161.79 (define @t458 () (= @t175 @t457)) % 161.51/161.79 (define @t459 () (tptp.meet @t165 @t175 @t455)) % 161.51/161.79 (define @t460 () (= @t175 @t459)) % 161.51/161.79 (define @t461 () (and @t460 @t458)) % 161.51/161.79 (define @t462 () (not @t456)) % 161.51/161.79 (define @t463 () (or @t462 @t461)) % 161.51/161.79 (define @t464 () (or @t156 @t153 @t152 @t151)) % 161.51/161.79 (define @t465 () (@list @t165 @t455 @t175)) % 161.51/161.79 (define @t466 () (tptp.element @t457 @t197)) % 161.51/161.79 (define @t467 () (or @t179 @t199 @t462 @t226 @t466)) % 161.51/161.79 (define @t468 () (tptp.meet_commut @t165 @t175 @t455)) % 161.51/161.79 (define @t469 () (or @t179 @t214 @t199 @t226 @t462 (= @t468 @t459))) % 161.51/161.79 (define @t470 () (forall @t22 @t400)) % 161.51/161.79 (define @t471 () (@list @t165 @t175 @t455)) % 161.51/161.79 (define @t472 () (= @t459 @t468)) % 161.51/161.79 (define @t473 () (or @t179 @t214 @t199 @t226 @t462 @t472)) % 161.51/161.79 (define @t474 () (@list @t470)) % 161.51/161.79 (define @t475 () (tptp.meet_commut @t165 @t455 @t175)) % 161.51/161.79 (define @t476 () (or @t179 @t214 @t199 @t462 @t226 (= @t475 @t457))) % 161.51/161.79 (define @t477 () (= @t457 @t475)) % 161.51/161.79 (define @t478 () (or @t179 @t214 @t199 @t462 @t226 @t477)) % 161.51/161.79 (define @t479 () (= @t468 @t475)) % 161.51/161.79 (define @t480 () (or @t179 @t214 @t199 @t226 @t462 @t479)) % 161.51/161.79 (define @t481 () (tptp.below @t165 @t468 @t175)) % 161.51/161.79 (define @t482 () (or @t179 @t214 @t437 @t182 @t226 @t462 @t481)) % 161.51/161.79 (define @t483 () (forall @t58 (or @t289 @t322 (tptp.below @t165 @t53 @t457)))) % 161.51/161.79 (define @t484 () (tptp.latt_element_smaller @t165 @t457 tptp.empty_set)) % 161.51/161.79 (define @t485 () (= @t484 @t483)) % 161.51/161.79 (define @t486 () (not @t466)) % 161.51/161.79 (define @t487 () (or @t179 @t182 @t486 @t485)) % 161.51/161.79 (define @t488 () (@quantifiers_skolemize @t483 0)) % 161.51/161.79 (define @t489 () (tptp.in @t488 tptp.empty_set)) % 161.51/161.79 (define @t490 () (not @t489)) % 161.51/161.79 (define @t491 () (or @t490 @t336 @t335)) % 161.51/161.79 (define @t492 () (or (not (tptp.element @t488 @t197)) @t490 (tptp.below @t165 @t488 @t457))) % 161.51/161.79 (define @t493 () (not @t492)) % 161.51/161.79 (define @t494 () (not @t483)) % 161.51/161.79 (define @t495 () (tptp.below @t165 @t175 @t457)) % 161.51/161.79 (define @t496 () (not @t484)) % 161.51/161.79 (define @t497 () (or @t486 @t496 @t495)) % 161.51/161.79 (define @t498 () (tptp.below @t165 @t457 @t175)) % 161.51/161.79 (define @t499 () (and @t477 @t479 @t481)) % 161.51/161.79 (define @t500 () (not @t498)) % 161.51/161.79 (define @t501 () (not @t495)) % 161.51/161.79 (define @t502 () (or @t179 @t390 @t389 @t226 @t486 @t501 @t500 @t458)) % 161.51/161.79 (define @t503 () (and @t458 @t472 @t477 @t479)) % 161.51/161.79 (define @t504 () (not @t463)) % 161.51/161.79 (define @t505 () (not @t454)) % 161.51/161.79 (define @t506 () (or @t226 @t505)) % 161.51/161.79 (define @t507 () (not @t506)) % 161.51/161.79 (define @t508 () (tptp.meet @t165 @t446 @t166)) % 161.51/161.79 (define @t509 () (= @t166 @t508)) % 161.51/161.79 (define @t510 () (tptp.meet @t165 @t166 @t446)) % 161.51/161.79 (define @t511 () (= @t166 @t510)) % 161.51/161.79 (define @t512 () (and @t511 @t509)) % 161.51/161.79 (define @t513 () (or @t451 @t512)) % 161.51/161.79 (define @t514 () (@list @t263)) % 161.51/161.79 (define @t515 () (not @t513)) % 161.51/161.79 (define @t516 () (not @t512)) % 161.51/161.79 (define @t517 () (and @t401 @t393 @t511)) % 161.51/161.79 (define @t518 () (and @t401 @t393 @t509)) % 161.51/161.79 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 161.51/161.79 (assume @p2 @t18) % 161.51/161.79 (assume @p3 (forall @t22 (=> @t21 (tptp.relation @t19)))) % 161.51/161.79 (assume @p4 (forall @t17 (=> @t16 (=> @t12 @t14)))) % 161.51/161.79 (assume @p5 (forall @t4 (= @t23 (tptp.unordered_pair @t2 @t1)))) % 161.51/161.79 (assume @p6 @t31) % 161.51/161.79 (assume @p7 @t45) % 161.51/161.79 (assume @p8 @t52) % 161.51/161.79 (assume @p9 @t67) % 161.51/161.79 (assume @p10 (forall @t17 (=> (and (tptp.relation @t1) (tptp.function @t1)) (forall @t68 (= (tptp.apply_binary @t1 @t2 @t19) (tptp.apply @t1 (tptp.ordered_pair @t2 @t19))))))) % 161.51/161.79 (assume @p11 @t84) % 161.51/161.79 (assume @p12 (forall @t17 (=> @t43 (forall @t39 (=> @t28 (forall @t36 (=> @t27 (= @t33 (tptp.apply_binary_as_element @t26 @t26 @t26 @t85 @t2 @t19))))))))) % 161.51/161.79 (assume @p13 (forall @t4 (= (tptp.ordered_pair @t1 @t2) (tptp.unordered_pair @t23 @t86)))) % 161.51/161.79 (assume @p14 @t88) % 161.51/161.79 (assume @p15 true) % 161.51/161.79 (assume @p16 (forall @t97 (=> @t96 (tptp.element @t91 @t19)))) % 161.51/161.79 (assume @p17 @t100) % 161.51/161.79 (assume @p18 @t102) % 161.51/161.79 (assume @p19 @t104) % 161.51/161.79 (assume @p20 (forall @t17 (=> @t29 @t105))) % 161.51/161.79 (assume @p21 (forall @t17 (=> @t106 @t105))) % 161.51/161.79 (assume @p22 @t108) % 161.51/161.79 (assume @p23 (forall @t22 (=> @t109 @t21))) % 161.51/161.79 (assume @p24 (forall @t17 (=> @t29 (and @t112 @t111 (tptp.relation_of2_as_subset @t85 @t110 @t26))))) % 161.51/161.79 (assume @p25 (exists @t17 @t29)) % 161.51/161.79 (assume @p26 (exists @t17 @t105)) % 161.51/161.79 (assume @p27 (exists @t17 @t106)) % 161.51/161.79 (assume @p28 (exists @t17 @t16)) % 161.51/161.79 (assume @p29 (forall @t4 (exists @t36 @t113))) % 161.51/161.79 (assume @p30 (forall @t17 (exists @t39 (tptp.element @t2 @t1)))) % 161.51/161.79 (assume @p31 (forall @t4 (exists @t36 @t109))) % 161.51/161.79 (assume @p32 (forall @t17 (=> @t114 (not (tptp.empty @t26))))) % 161.51/161.79 (assume @p33 (forall @t17 (not (tptp.empty @t115)))) % 161.51/161.79 (assume @p34 @t116) % 161.51/161.79 (assume @p35 (forall @t17 (not (tptp.empty @t86)))) % 161.51/161.79 (assume @p36 (forall @t4 (not (tptp.empty @t23)))) % 161.51/161.79 (assume @p37 (forall @t17 (=> (and @t11 @t8 @t29) (and @t118 @t112 @t111 (tptp.v1_binop_1 @t85 @t26) @t117)))) % 161.51/161.79 (assume @p38 (forall @t4 (=> (and @t95 @t93) (not (tptp.empty @t20))))) % 161.51/161.79 (assume @p39 (forall @t17 (=> (and @t11 @t7 @t29) (and @t118 @t112 @t111 (tptp.v2_binop_1 @t85 @t26) @t117)))) % 161.51/161.79 (assume @p40 (forall @t17 (=> @t95 (exists @t39 (and @t119 @t93))))) % 161.51/161.79 (assume @p41 (exists @t17 @t94)) % 161.51/161.79 (assume @p42 (forall @t17 (exists @t39 (and @t119 @t92)))) % 161.51/161.79 (assume @p43 (exists @t17 @t95)) % 161.51/161.79 (assume @p44 (exists @t17 (and @t105 @t11))) % 161.51/161.79 (assume @p45 (forall @t17 (=> @t114 (exists @t39 (and (tptp.element @t2 (tptp.powerset @t26)) @t93))))) % 161.51/161.79 (assume @p46 (forall @t97 (=> @t96 (= @t91 (tptp.apply_binary @t53 @t90 @t89))))) % 161.51/161.79 (assume @p47 @t121) % 161.51/161.79 (assume @p48 (forall @t22 (= @t109 @t113))) % 161.51/161.79 (assume @p49 (forall @t22 (=> @t123 (= (tptp.below_refl @t1 @t2 @t19) @t122)))) % 161.51/161.79 (assume @p50 @t125) % 161.51/161.79 (assume @p51 (forall @t22 (=> @t123 (tptp.below_refl @t1 @t2 @t2)))) % 161.51/161.79 (assume @p52 (forall @t4 (=> @t3 @t126))) % 161.51/161.79 (assume @p53 @t133) % 161.51/161.79 (assume @p54 @t143) % 161.51/161.79 (assume @p55 (forall @t4 (=> @t126 (or @t92 @t3)))) % 161.51/161.79 (assume @p56 @t144) % 161.51/161.79 (assume @p57 (forall @t22 (=> (and @t3 @t145) (tptp.element @t1 @t19)))) % 161.51/161.79 (assume @p58 @t148) % 161.51/161.79 (assume @p59 @t150) % 161.51/161.79 (assume @p60 (forall @t17 (=> @t94 (= @t1 tptp.empty_set)))) % 161.51/161.79 (assume @p61 (forall @t4 (not (and @t3 @t92)))) % 161.51/161.79 (assume @p62 (forall @t4 (not (and @t94 (not (= @t1 @t2)) @t92)))) % 161.51/161.79 (step @p63 :rule aci_norm :args ((= (or @t155 @t101) (or @t10 @t154 @t153 @t152 @t151 @t101)))) % 161.51/161.79 (step @p64 :rule refl :args (@t101)) % 161.51/161.79 (step @p65 :rule refl :args (@t151)) % 161.51/161.79 (step @p66 :rule refl :args (@t152)) % 161.51/161.79 (step @p67 :rule refl :args (@t153)) % 161.51/161.79 (step @p68 :rule refl :args (@t154)) % 161.51/161.79 (step @p69 :rule bool-double-not-elim :args (@t10)) % 161.51/161.79 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67 @p66 @p65) :args (@t157)) % 161.51/161.79 (step @p71 :rule aci_norm :args ((= (or @t156 (or @t154 @t158)) @t157))) % 161.51/161.79 (step @p72 :rule trans :premises (@p71 @p70)) % 161.51/161.79 (step @p73 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 161.51/161.79 (step @p74 :rule nary_cong :premises (@p67 @p73) :args ((or @t153 (not (and @t28 @t27))))) % 161.51/161.79 (step @p75 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27))) % 161.51/161.79 (step @p76 :rule trans :premises (@p75 @p74)) % 161.51/161.79 (step @p77 :rule nary_cong :premises (@p68 @p76) :args ((or @t154 @t159))) % 161.51/161.79 (step @p78 :rule bool-and-de-morgan :args (@t8 @t29 (and @t28 @t27))) % 161.51/161.79 (step @p79 :rule trans :premises (@p78 @p77)) % 161.51/161.79 (step @p80 :rule refl :args (@t156)) % 161.51/161.79 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t156 (not (and @t8 @t29 @t28 @t27))))) % 161.51/161.79 (step @p82 :rule bool-and-de-morgan :args (@t11 @t8 (and @t29 @t28 @t27))) % 161.51/161.79 (step @p83 :rule trans :premises (@p82 @p81)) % 161.51/161.79 (step @p84 :rule trans :premises (@p83 @p72)) % 161.51/161.79 (step @p85 :rule nary_cong :premises (@p84 @p64) :args ((or @t160 @t101))) % 161.51/161.79 (step @p86 :rule trans :premises (@p85 @p63)) % 161.51/161.79 (step @p87 :rule bool-impl-elim :args (@t30 @t101)) % 161.51/161.79 (step @p88 :rule trans :premises (@p87 @p86)) % 161.51/161.79 (step @p89 :rule cong :premises (@p88) :args (@t102)) % 161.51/161.79 (step @p90 :rule eq_resolve :premises (@p18 @p89)) % 161.51/161.79 (step @p91 :rule instantiate :premises (@p90) :args (@t167)) % 161.51/161.79 (step @p92 :rule aci_norm :args ((= (or @t168 @t103) (or @t10 @t153 @t103)))) % 161.51/161.79 (step @p93 :rule refl :args (@t103)) % 161.51/161.79 (step @p94 :rule nary_cong :premises (@p69 @p67) :args ((or @t156 @t153))) % 161.51/161.79 (step @p95 :rule bool-and-de-morgan :args (@t11 @t29 true)) % 161.51/161.79 (step @p96 :rule trans :premises (@p95 @p94)) % 161.51/161.79 (step @p97 :rule nary_cong :premises (@p96 @p93) :args ((or @t169 @t103))) % 161.51/161.79 (step @p98 :rule trans :premises (@p97 @p92)) % 161.51/161.79 (step @p99 :rule bool-impl-elim :args (@t43 @t103)) % 161.51/161.79 (step @p100 :rule trans :premises (@p99 @p98)) % 161.51/161.79 (step @p101 :rule cong :premises (@p100) :args (@t104)) % 161.51/161.79 (step @p102 :rule eq_resolve :premises (@p19 @p101)) % 161.51/161.79 (step @p103 :rule instantiate :premises (@p102) :args (@t170)) % 161.51/161.79 (step @p104 :rule bool-impl-elim :args (@t16 @t107)) % 161.51/161.79 (step @p105 :rule cong :premises (@p104) :args (@t108)) % 161.51/161.79 (step @p106 :rule eq_resolve :premises (@p22 @p105)) % 161.51/161.79 (step @p107 :rule instantiate :premises (@p106) :args (@t170)) % 161.51/161.79 (step @p108 :rule aci_norm :args ((= (or @t171 @t146) @t164))) % 161.51/161.79 (step @p109 :rule refl :args (@t146)) % 161.51/161.79 (step @p110 :rule refl :args (@t161)) % 161.51/161.79 (step @p111 :rule refl :args (@t162)) % 161.51/161.79 (step @p112 :rule refl :args (@t163)) % 161.51/161.79 (step @p113 :rule nary_cong :premises (@p69 @p112 @p111 @p110) :args (@t172)) % 161.51/161.79 (step @p114 :rule aci_norm :args ((= (or @t156 (or @t163 (or @t162 @t161))) @t172))) % 161.51/161.79 (step @p115 :rule trans :premises (@p114 @p113)) % 161.51/161.79 (step @p116 :rule bool-and-de-morgan :args (@t80 @t16 true)) % 161.51/161.79 (step @p117 :rule nary_cong :premises (@p112 @p116) :args ((or @t163 (not (and @t80 @t16))))) % 161.51/161.79 (step @p118 :rule bool-and-de-morgan :args (@t13 @t80 (and @t16))) % 161.51/161.79 (step @p119 :rule trans :premises (@p118 @p117)) % 161.51/161.79 (step @p120 :rule nary_cong :premises (@p80 @p119) :args ((or @t156 (not (and @t13 @t80 @t16))))) % 161.51/161.79 (step @p121 :rule bool-and-de-morgan :args (@t11 @t13 (and @t80 @t16))) % 161.51/161.79 (step @p122 :rule trans :premises (@p121 @p120)) % 161.51/161.79 (step @p123 :rule trans :premises (@p122 @p115)) % 161.51/161.79 (step @p124 :rule nary_cong :premises (@p123 @p109) :args ((or @t173 @t146))) % 161.51/161.79 (step @p125 :rule trans :premises (@p124 @p108)) % 161.51/161.79 (step @p126 :rule bool-impl-elim :args (@t81 @t146)) % 161.51/161.79 (step @p127 :rule trans :premises (@p126 @p125)) % 161.51/161.79 (step @p128 :rule cong :premises (@p127) :args (@t147)) % 161.51/161.79 (step @p129 :rule cong :premises (@p128) :args (@t148)) % 161.51/161.79 (step @p130 :rule eq_resolve :premises (@p58 @p129)) % 161.51/161.79 (step @p131 :rule skolemize :premises (@p130)) % 161.51/161.79 (step @p132 :rule bool-double-not-elim :args (@t174)) % 161.51/161.79 (step @p133 :rule refl :args (@t186)) % 161.51/161.79 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t186 (not @t182)))) % 161.51/161.79 (step @p135 :rule cnf_or_neg :args (@t186 3)) % 161.51/161.79 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 161.51/161.79 (step @p137 :rule reordering :premises (@p136) :args ((or @t174 @t186))) % 161.51/161.79 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t174 @t187 @t188)) % 161.51/161.79 (step @p139 :rule cnf_or_pos :args (@t192)) % 161.51/161.79 (step @p140 :rule reordering :premises (@p139) :args ((or @t182 @t191 (not @t192)))) % 161.51/161.79 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p107) :args (@t191 @t193 (@list @t174 @t192))) % 161.51/161.79 (step @p142 :rule cnf_and_pos :args (@t191 0)) % 161.51/161.79 (step @p143 :rule reordering :premises (@p142) :args ((or @t190 @t194))) % 161.51/161.79 (step @p144 :rule chain_m_resolution :premises (@p143 @p141) :args (@t190 @t195 @t196)) % 161.51/161.79 (step @p145 :rule cnf_or_neg :args (@t186 0)) % 161.51/161.79 (step @p146 :rule reordering :premises (@p145) :args ((or @t180 @t186))) % 161.51/161.79 (step @p147 :rule chain_m_resolution :premises (@p146 @p131) :args (@t180 @t187 @t188)) % 161.51/161.79 (step @p148 :rule cnf_or_pos :args (@t200)) % 161.51/161.79 (step @p149 :rule reordering :premises (@p148) :args ((or @t179 @t199 @t198 (not @t200)))) % 161.51/161.79 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p144 @p103) :args (@t198 @t201 (@list @t179 @t190 @t200))) % 161.51/161.79 (step @p151 :rule aci_norm :args ((= (or @t161 @t202) (or @t161 @t10 @t163 @t12)))) % 161.51/161.79 (step @p152 :rule aci_norm :args ((= (or (or @t10 @t163) @t12) @t202))) % 161.51/161.79 (step @p153 :rule refl :args (@t12)) % 161.51/161.79 (step @p154 :rule nary_cong :premises (@p69 @p112) :args ((or @t156 @t163))) % 161.51/161.79 (step @p155 :rule bool-and-de-morgan :args (@t11 @t13 true)) % 161.51/161.79 (step @p156 :rule trans :premises (@p155 @p154)) % 161.51/161.79 (step @p157 :rule nary_cong :premises (@p156 @p153) :args ((or (not @t14) @t12))) % 161.51/161.79 (step @p158 :rule trans :premises (@p157 @p152)) % 161.51/161.79 (step @p159 :rule bool-impl-elim :args (@t14 @t12)) % 161.51/161.79 (step @p160 :rule trans :premises (@p159 @p158)) % 161.51/161.79 (step @p161 :rule nary_cong :premises (@p110 @p160) :args ((or @t161 @t15))) % 161.51/161.79 (step @p162 :rule trans :premises (@p161 @p151)) % 161.51/161.79 (step @p163 :rule bool-impl-elim :args (@t16 @t15)) % 161.51/161.79 (step @p164 :rule trans :premises (@p163 @p162)) % 161.51/161.79 (step @p165 :rule cong :premises (@p164) :args (@t18)) % 161.51/161.79 (step @p166 :rule eq_resolve :premises (@p2 @p165)) % 161.51/161.79 (step @p167 :rule instantiate :premises (@p166) :args (@t170)) % 161.51/161.79 (step @p168 :rule bool-double-not-elim :args (@t178)) % 161.51/161.79 (step @p169 :rule nary_cong :premises (@p133 @p168) :args ((or @t186 (not @t185)))) % 161.51/161.79 (step @p170 :rule cnf_or_neg :args (@t186 1)) % 161.51/161.79 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 161.51/161.79 (step @p172 :rule reordering :premises (@p171) :args ((or @t178 @t186))) % 161.51/161.79 (step @p173 :rule chain_m_resolution :premises (@p172 @p131) :args (@t178 @t187 @t188)) % 161.51/161.79 (step @p174 :rule cnf_or_pos :args (@t207)) % 161.51/161.79 (step @p175 :rule reordering :premises (@p174) :args ((or @t179 @t185 @t182 @t206 (not @t207)))) % 161.51/161.79 (step @p176 :rule chain_m_resolution :premises (@p175 @p147 @p173 @p138 @p167) :args (@t206 @t208 (@list @t179 @t178 @t174 @t207))) % 161.51/161.79 (step @p177 :rule cnf_and_pos :args (@t206 3)) % 161.51/161.79 (step @p178 :rule reordering :premises (@p177) :args ((or @t204 @t209))) % 161.51/161.79 (step @p179 :rule chain_m_resolution :premises 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@p839 :rule chain_m_resolution :premises (@p838 @p832) :args (@t492 @t187 (@list @t489))) % 161.51/161.80 (step @p840 :rule refl :args (@t493)) % 161.51/161.80 (step @p841 :rule bool-double-not-elim :args (@t483)) % 161.51/161.80 (step @p842 :rule nary_cong :premises (@p841 @p840) :args ((or (not @t494) @t493))) % 161.51/161.80 (assume-push @p1054 @t494) % 161.51/161.80 (step @p844 :rule skolemize :premises (@p1054)) % 161.51/161.80 (step-pop @p1055 :rule scope :premises (@p844)) % 161.51/161.80 (step @p845 :rule process_scope :premises (@p1055) :args (@t493)) % 161.51/161.80 (step @p847 :rule implies_elim :premises (@p845)) % 161.51/161.80 (step @p848 :rule eq_resolve :premises (@p847 @p842)) % 161.51/161.80 (step @p849 :rule chain_m_resolution :premises (@p848 @p839) :args (@t483 @t195 (@list @t492))) % 161.51/161.80 (step @p850 :rule cnf_equiv_pos2 :args (@t485)) % 161.51/161.80 (step @p851 :rule reordering :premises (@p850) :args ((or @t484 @t494 (not @t485)))) % 161.51/161.80 (step @p852 :rule instantiate :premises (@p422) :args ((@list @t457))) % 161.51/161.80 (step @p853 :rule cnf_or_pos :args (@t497)) % 161.51/161.80 (step @p854 :rule reordering :premises (@p853) :args ((or @t486 @t496 @t495 (not @t497)))) % 161.51/161.80 (assume-push @p1056 @t477) % 161.51/161.80 (assume-push @p1057 @t479) % 161.51/161.80 (assume-push @p1058 @t481) % 161.51/161.80 (assume-push @p1059 @t481) % 161.51/161.80 (assume-push @p1060 @t479) % 161.51/161.80 (assume-push @p1061 @t477) % 161.51/161.80 (step @p861 :rule true_intro :premises (@p1058)) % 161.51/161.80 (step @p713 :rule refl :args (@t175)) % 161.51/161.80 (step @p862 :rule symm :premises (@p1057)) % 161.51/161.80 (step @p863 :rule trans :premises (@p1056 @p862)) % 161.51/161.80 (step @p718 :rule refl :args (@t165)) % 161.51/161.80 (step @p864 :rule cong :premises (@p718 @p863 @p713) :args (@t498)) % 161.51/161.80 (step @p865 :rule trans :premises (@p864 @p861)) % 161.51/161.80 (step @p866 :rule true_elim :premises (@p865)) % 161.51/161.80 (step-pop @p1062 :rule scope :premises (@p866)) % 161.51/161.80 (step-pop @p1063 :rule scope :premises (@p1062)) % 161.51/161.80 (step-pop @p1064 :rule scope :premises (@p1063)) % 161.51/161.80 (step @p867 :rule process_scope :premises (@p1064) :args (@t498)) % 161.51/161.80 (step @p871 :rule and_intro :premises (@p1058 @p1057 @p1056)) % 161.51/161.80 (step @p872 :rule modus_ponens :premises (@p871 @p867)) % 161.51/161.80 (step-pop @p1065 :rule scope :premises (@p872)) % 161.51/161.80 (step-pop @p1066 :rule scope :premises (@p1065)) % 161.51/161.80 (step-pop @p1067 :rule scope :premises (@p1066)) % 161.51/161.80 (step @p873 :rule process_scope :premises (@p1067) :args (@t498)) % 161.51/161.80 (step @p877 :rule implies_elim :premises (@p873)) % 161.51/161.80 (step @p878 :rule cnf_and_neg :args (@t499)) % 161.51/161.80 (step @p879 :rule resolution :premises (@p878 @p877) :args (true @t499)) % 161.51/161.80 (step @p880 :rule instantiate :premises (@p590) :args ((@list @t165 @t175 @t457))) % 161.51/161.80 (step @p881 :rule cnf_or_pos :args (@t502)) % 161.51/161.80 (step @p882 :rule reordering :premises (@p881) :args ((or @t179 @t390 @t226 @t389 @t458 @t486 @t501 @t500 (not @t502)))) % 161.51/161.80 (step @p883 :rule cnf_and_neg :args (@t461)) % 161.51/161.80 (assume-push @p1068 @t458) % 161.51/161.80 (assume-push @p1069 @t472) % 161.51/161.80 (assume-push @p1070 @t477) % 161.51/161.80 (assume-push @p1071 @t479) % 161.51/161.80 (assume-push @p1072 @t472) % 161.51/161.80 (assume-push @p1073 @t479) % 161.51/161.80 (assume-push @p1074 @t477) % 161.51/161.80 (assume-push @p1075 @t458) % 161.51/161.80 (step @p892 :rule symm :premises (@p1069)) % 161.51/161.80 (step @p893 :rule symm :premises (@p1071)) % 161.51/161.80 (step @p894 :rule trans :premises (@p1068 @p1070 @p893 @p892)) % 161.51/161.80 (step-pop @p1076 :rule scope :premises (@p894)) % 161.51/161.80 (step-pop @p1077 :rule scope :premises (@p1076)) % 161.51/161.80 (step-pop @p1078 :rule scope :premises (@p1077)) % 161.51/161.80 (step-pop @p1079 :rule scope :premises (@p1078)) % 161.51/161.80 (step @p895 :rule process_scope :premises (@p1079) :args (@t460)) % 161.51/161.80 (step @p900 :rule and_intro :premises (@p1069 @p1071 @p1070 @p1068)) % 161.51/161.80 (step @p901 :rule modus_ponens :premises (@p900 @p895)) % 161.51/161.80 (step-pop @p1080 :rule scope :premises (@p901)) % 161.51/161.80 (step-pop @p1081 :rule scope :premises (@p1080)) % 161.51/161.80 (step-pop @p1082 :rule scope :premises (@p1081)) % 161.51/161.80 (step-pop @p1083 :rule scope :premises (@p1082)) % 161.51/161.80 (step @p902 :rule process_scope :premises (@p1083) :args (@t460)) % 161.51/161.80 (step @p907 :rule implies_elim :premises (@p902)) % 161.51/161.80 (step @p908 :rule cnf_and_neg :args (@t503)) % 161.51/161.80 (step @p909 :rule resolution :premises (@p908 @p907) :args (true @t503)) % 161.51/161.80 (step @p910 :rule reordering :premises (@p909) :args ((or @t460 (not @t458) (not @t472) (not @t477) (not @t479)))) % 161.51/161.80 (step @p911 :rule chain_m_resolution :premises (@p910 @p883 @p882 @p880 @p343 @p340 @p210 @p147 @p879 @p854 @p852 @p851 @p849 @p828 @p826 @p138 @p147 @p825 @p823 @p692 @p179 @p210 @p138 @p147 @p822 @p820 @p144 @p179 @p210 @p147 @p819 @p817 @p144 @p179 @p210 @p147 @p807 @p805 @p144 @p179 @p210 @p147 @p792 @p790 @p144 @p210 @p147 @p774 @p773) :args (@t463 (@list true false false false false false true false false false false false false false false true false false false false false false true false false false false false true false false false false false true false false false false false true false false false false true true false) (@list @t460 @t458 @t502 @t189 @t205 @t225 @t179 @t498 @t495 @t497 @t484 @t483 @t485 @t487 @t174 @t179 @t481 @t482 @t203 @t204 @t225 @t174 @t179 @t479 @t480 @t190 @t204 @t225 @t179 @t477 @t478 @t190 @t204 @t225 @t179 @t472 @t473 @t190 @t204 @t225 @t179 @t466 @t467 @t190 @t225 @t179 @t461 @t456))) % 161.51/161.80 (step @p912 :rule refl :args (@t504)) % 161.51/161.80 (step @p913 :rule bool-double-not-elim :args (@t454)) % 161.51/161.80 (step @p914 :rule nary_cong :premises (@p913 @p912) :args ((or (not @t505) @t504))) % 161.51/161.80 (assume-push @p1084 @t505) % 161.51/161.80 (step @p916 :rule skolemize :premises (@p1084)) % 161.51/161.80 (step-pop @p1085 :rule scope :premises (@p916)) % 161.51/161.80 (step @p917 :rule process_scope :premises (@p1085) :args (@t504)) % 161.51/161.80 (step @p919 :rule implies_elim :premises (@p917)) % 161.51/161.80 (step @p920 :rule eq_resolve :premises (@p919 @p914)) % 161.51/161.80 (step @p921 :rule chain_m_resolution :premises (@p920 @p911) :args (@t454 @t195 (@list @t463))) % 161.51/161.80 (step @p922 :rule cnf_or_pos :args (@t506)) % 161.51/161.80 (step @p923 :rule reordering :premises (@p922) :args ((or @t226 @t505 @t507))) % 161.51/161.80 (step @p924 :rule chain_m_resolution :premises (@p923 @p210 @p921) :args (@t507 @t193 (@list @t225 @t454))) % 161.51/161.80 (assume-push @p1086 @t228) % 161.51/161.80 (step @p926 :rule instantiate :premises (@p1086) :args (@t222)) % 161.51/161.80 (step-pop @p1087 :rule scope :premises (@p926)) % 161.51/161.80 (step @p927 :rule process_scope :premises (@p1087) :args (@t506)) % 161.51/161.80 (step @p929 :rule implies_elim :premises (@p927)) % 161.51/161.80 (step @p930 :rule chain_m_resolution :premises (@p929 @p924) :args (@t238 @t187 (@list @t506))) % 161.51/161.80 (step @p931 :rule chain_m_resolution :premises (@p255 @p930 @p248) :args (@t177 (@list true false) (@list @t228 @t239))) % 161.51/161.80 (step @p932 :rule chain_m_resolution :premises (@p337 @p147 @p931 @p144 @p150 @p335) :args (@t263 @t216 (@list @t179 @t177 @t190 @t198 @t267))) % 161.51/161.80 (assume-push @p1088 @t263) % 161.51/161.80 (step @p934 :rule instantiate :premises (@p1088) :args ((@list @t446))) % 161.51/161.80 (step-pop @p1089 :rule scope :premises (@p934)) % 161.51/161.80 (step @p935 :rule process_scope :premises (@p1089) :args (@t513)) % 161.51/161.80 (step @p937 :rule implies_elim :premises (@p935)) % 161.51/161.80 (step @p938 :rule chain_m_resolution :premises (@p937 @p932) :args (@t513 @t195 @t514)) % 161.51/161.80 (step @p939 :rule chain_m_resolution :premises (@p602 @p932) :args (@t396 @t195 @t514)) % 161.51/161.80 (step @p940 :rule chain_m_resolution :premises (@p604 @p150 @p939) :args (@t393 @t193 (@list @t198 @t396))) % 161.51/161.80 (step @p941 :rule bool-double-not-elim :args (@t450)) % 161.51/161.80 (step @p942 :rule refl :args (@t452)) % 161.51/161.80 (step @p943 :rule nary_cong :premises (@p942 @p941) :args ((or @t452 (not @t451)))) % 161.51/161.80 (step @p944 :rule cnf_or_neg :args (@t452 0)) % 161.51/161.80 (step @p945 :rule eq_resolve :premises (@p944 @p943)) % 161.51/161.80 (step @p946 :rule reordering :premises (@p945) :args ((or @t450 @t452))) % 161.51/161.80 (step @p947 :rule cnf_or_neg :args (@t452 1)) % 161.51/161.80 (step @p948 :rule cnf_or_pos :args (@t513)) % 161.51/161.80 (step @p949 :rule reordering :premises (@p948) :args ((or @t451 @t512 @t515))) % 161.51/161.80 (step @p950 :rule cnf_and_pos :args (@t512 0)) % 161.51/161.80 (step @p951 :rule reordering :premises (@p950) :args ((or @t511 @t516))) % 161.51/161.80 (step @p952 :rule cnf_and_pos :args (@t512 1)) % 161.51/161.80 (step @p953 :rule reordering :premises (@p952) :args ((or @t509 @t516))) % 161.51/161.80 (assume-push @p1090 @t401) % 161.51/161.80 (assume-push @p1091 @t393) % 161.51/161.80 (assume-push @p1092 @t511) % 161.51/161.80 (assume-push @p1093 @t401) % 161.51/161.80 (assume-push @p1094 @t393) % 161.51/161.80 (assume-push @p1095 @t511) % 161.51/161.80 (step @p960 :rule refl :args (@t446)) % 161.51/161.80 (step @p716 :rule symm :premises (@p629)) % 161.51/161.80 (step @p961 :rule trans :premises (@p1091 @p716)) % 161.51/161.80 (step @p718 :rule refl :args (@t165)) % 161.51/161.80 (step @p962 :rule cong :premises (@p718 @p961 @p960) :args (@t510)) % 161.51/161.80 (step @p963 :rule symm :premises (@p1091)) % 161.51/161.80 (step @p964 :rule trans :premises (@p629 @p963 @p1092 @p962)) % 161.51/161.80 (step-pop @p1096 :rule scope :premises (@p964)) % 161.51/161.80 (step-pop @p1097 :rule scope :premises (@p1096)) % 161.51/161.80 (step-pop @p1098 :rule scope :premises (@p1097)) % 161.51/161.80 (step @p965 :rule process_scope :premises (@p1098) :args (@t448)) % 161.51/161.80 (step @p969 :rule and_intro :premises (@p629 @p1091 @p1092)) % 161.51/161.80 (step @p970 :rule modus_ponens :premises (@p969 @p965)) % 161.51/161.80 (step-pop @p1099 :rule scope :premises (@p970)) % 161.51/161.80 (step-pop @p1100 :rule scope :premises (@p1099)) % 159.16/161.80 (step-pop @p1101 :rule scope :premises (@p1100)) % 159.16/161.80 (step @p971 :rule process_scope :premises (@p1101) :args (@t448)) % 159.16/161.80 (step @p975 :rule implies_elim :premises (@p971)) % 159.16/161.80 (step @p976 :rule cnf_and_neg :args (@t517)) % 159.16/161.80 (step @p977 :rule resolution :premises (@p976 @p975) :args (true @t517)) % 159.16/161.80 (step @p978 :rule reordering :premises (@p977) :args ((or @t443 @t448 @t440 (not @t511)))) % 159.16/161.80 (assume-push @p1102 @t401) % 159.16/161.80 (assume-push @p1103 @t393) % 159.16/161.80 (assume-push @p1104 @t509) % 159.16/161.80 (assume-push @p1105 @t401) % 159.16/161.80 (assume-push @p1106 @t393) % 159.16/161.80 (assume-push @p1107 @t509) % 159.16/161.80 (step @p716 :rule symm :premises (@p629)) % 159.16/161.80 (step @p985 :rule trans :premises (@p1103 @p716)) % 159.16/161.80 (step @p960 :rule refl :args (@t446)) % 159.16/161.80 (step @p718 :rule refl :args (@t165)) % 159.16/161.80 (step @p986 :rule cong :premises (@p718 @p960 @p985) :args (@t508)) % 159.16/161.80 (step @p987 :rule symm :premises (@p1103)) % 159.16/161.80 (step @p988 :rule trans :premises (@p629 @p987 @p1104 @p986)) % 159.16/161.80 (step-pop @p1108 :rule scope :premises (@p988)) % 159.16/161.80 (step-pop @p1109 :rule scope :premises (@p1108)) % 159.16/161.80 (step-pop @p1110 :rule scope :premises (@p1109)) % 159.16/161.80 (step @p989 :rule process_scope :premises (@p1110) :args (@t447)) % 159.16/161.80 (step @p993 :rule and_intro :premises (@p629 @p1103 @p1104)) % 159.16/161.80 (step @p994 :rule modus_ponens :premises (@p993 @p989)) % 159.16/161.80 (step-pop @p1111 :rule scope :premises (@p994)) % 159.16/161.80 (step-pop @p1112 :rule scope :premises (@p1111)) % 159.16/161.80 (step-pop @p1113 :rule scope :premises (@p1112)) % 159.16/161.80 (step @p995 :rule process_scope :premises (@p1113) :args (@t447)) % 159.16/161.80 (step @p999 :rule implies_elim :premises (@p995)) % 159.16/161.80 (step @p1000 :rule cnf_and_neg :args (@t518)) % 159.16/161.80 (step @p1001 :rule resolution :premises (@p1000 @p999) :args (true @t518)) % 159.16/161.80 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t443 @t447 @t440 (not @t509)))) % 159.16/161.80 (step @p1003 :rule cnf_and_neg :args (@t449)) % 159.16/161.80 (step @p1004 :rule chain_m_resolution :premises (@p1003 @p1002 @p629 @p978 @p629 @p953 @p951 @p949 @p947 @p946) :args ((or @t452 @t440 @t515) (@list false false false false false false false true false) (@list @t447 @t401 @t448 @t401 @t509 @t511 @t512 @t449 @t450))) % 159.16/161.80 (step @p1005 false :rule chain_m_resolution :premises (@p1004 @p940 @p938 @p767) :args (false (@list false false true) (@list @t393 @t513 @t452))) % 159.16/161.80 ) % 159.16/161.80 % SZS output end Proof % 159.16/161.80 % cvc5 exiting %------------------------------------------------------------------------------