%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU345+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 : n009.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 08:51:27 AM UTC 2026 % Result : Theorem 169.36s 169.66s % Output : Proof 169.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU345+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:59:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 169.36/169.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 169.36/169.66 --- Run --no-e-matching --full-saturate-quant at 6... % 169.36/169.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 169.36/169.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 169.36/169.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 169.36/169.66 --- Run --trigger-sel=max --full-saturate-quant at 15... % 169.36/169.66 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 169.36/169.66 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 169.36/169.66 --- Run --prenex-quant=none --full-saturate-quant at 30... % 169.36/169.66 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 169.36/169.66 % SZS status Theorem % 169.36/169.66 % SZS output start Proof % 169.36/169.66 ( % 169.36/169.66 (declare-sort $$unsorted 0) % 169.36/169.66 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.empty_set $$unsorted) % 169.36/169.66 (declare-const tptp.empty (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.bottom_of_semilattstr (-> $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.lattice (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.relation (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.meet_commut (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.function (-> $$unsorted Bool)) % 169.36/169.66 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 169.36/169.66 (declare-const tptp.lower_bounded_semilattstr (-> $$unsorted Bool)) % 169.36/169.66 (define @t1 () (@var "A" $$unsorted)) % 169.36/169.66 (define @t2 () (tptp.the_L_meet @t1)) % 169.36/169.66 (define @t3 () (tptp.the_L_join @t1)) % 169.36/169.66 (define @t4 () (tptp.the_carrier @t1)) % 169.36/169.66 (define @t5 () (tptp.strict_latt_str @t1)) % 169.36/169.66 (define @t6 () (tptp.latt_str @t1)) % 169.36/169.66 (define @t7 () (@list @t1)) % 169.36/169.66 (define @t8 () (@var "B" $$unsorted)) % 169.36/169.66 (define @t9 () (tptp.in @t1 @t8)) % 169.36/169.66 (define @t10 () (@list @t1 @t8)) % 169.36/169.66 (define @t11 () (tptp.join_absorbing @t1)) % 169.36/169.66 (define @t12 () (tptp.meet_absorbing @t1)) % 169.36/169.66 (define @t13 () (tptp.meet_associative @t1)) % 169.36/169.66 (define @t14 () (tptp.meet_commutative @t1)) % 169.36/169.66 (define @t15 () (tptp.join_associative @t1)) % 169.36/169.66 (define @t16 () (tptp.join_commutative @t1)) % 169.36/169.66 (define @t17 () (tptp.empty_carrier @t1)) % 169.36/169.66 (define @t18 () (not @t17)) % 169.36/169.66 (define @t19 () (and @t18 @t16 @t15 @t14 @t13 @t12 @t11)) % 169.36/169.66 (define @t20 () (tptp.lattice @t1)) % 169.36/169.66 (define @t21 () (and @t18 @t20)) % 169.36/169.66 (define @t22 () (@var "C" $$unsorted)) % 169.36/169.66 (define @t23 () (tptp.cartesian_product2 @t1 @t8)) % 169.36/169.66 (define @t24 () (tptp.element @t22 (tptp.powerset @t23))) % 169.36/169.66 (define @t25 () (@list @t1 @t8 @t22)) % 169.36/169.66 (define @t26 () (tptp.unordered_pair @t1 @t8)) % 169.36/169.66 (define @t27 () (tptp.set_union2 @t8 @t1)) % 169.36/169.66 (define @t28 () (tptp.set_union2 @t1 @t8)) % 169.36/169.66 (define @t29 () (tptp.meet_commut @t1 @t8 @t22)) % 169.36/169.66 (define @t30 () (= @t29 (tptp.meet_commut @t1 @t22 @t8))) % 169.36/169.66 (define @t31 () (tptp.element @t22 @t4)) % 169.36/169.66 (define @t32 () (tptp.element @t8 @t4)) % 169.36/169.66 (define @t33 () (tptp.meet_semilatt_str @t1)) % 169.36/169.66 (define @t34 () (and @t18 @t14 @t33 @t32 @t31)) % 169.36/169.66 (define @t35 () (forall @t25 (=> @t34 @t30))) % 169.36/169.66 (define @t36 () (tptp.subset_union2 @t1 @t8 @t22)) % 169.36/169.66 (define @t37 () (tptp.powerset @t1)) % 169.36/169.66 (define @t38 () (tptp.element @t22 @t37)) % 169.36/169.66 (define @t39 () (tptp.element @t8 @t37)) % 169.36/169.66 (define @t40 () (and @t39 @t38)) % 169.36/169.66 (define @t41 () (tptp.subset_intersection2 @t1 @t8 @t22)) % 169.36/169.66 (define @t42 () (tptp.meet @t1 @t22 @t8)) % 169.36/169.66 (define @t43 () (tptp.meet @t1 @t8 @t22)) % 169.36/169.66 (define @t44 () (and (= @t43 @t8) (= @t42 @t8))) % 169.36/169.66 (define @t45 () (=> @t31 @t44)) % 169.36/169.66 (define @t46 () (@list @t22)) % 169.36/169.66 (define @t47 () (forall @t46 @t45)) % 169.36/169.66 (define @t48 () (and @t32 @t47)) % 169.36/169.66 (define @t49 () (@list @t8)) % 169.36/169.66 (define @t50 () (exists @t49 @t48)) % 169.36/169.66 (define @t51 () (tptp.lower_bounded_semilattstr @t1)) % 169.36/169.66 (define @t52 () (= @t51 @t50)) % 169.36/169.66 (define @t53 () (and @t18 @t33)) % 169.36/169.66 (define @t54 () (=> @t53 @t52)) % 169.36/169.66 (define @t55 () (forall @t7 @t54)) % 169.36/169.66 (define @t56 () (tptp.bottom_of_semilattstr @t1)) % 169.36/169.66 (define @t57 () (= @t8 @t56)) % 169.36/169.66 (define @t58 () (=> @t32 (= @t57 @t47))) % 169.36/169.66 (define @t59 () (forall @t49 @t58)) % 169.36/169.66 (define @t60 () (=> @t51 @t59)) % 169.36/169.66 (define @t61 () (=> @t53 @t60)) % 169.36/169.66 (define @t62 () (forall @t7 @t61)) % 169.36/169.66 (define @t63 () (@var "D" $$unsorted)) % 169.36/169.66 (define @t64 () (tptp.the_L_meet @t8)) % 169.36/169.66 (define @t65 () (tptp.the_L_join @t8)) % 169.36/169.66 (define @t66 () (and (= (tptp.apply_binary @t65 @t22 @t63) (tptp.subset_union2 @t1 @t22 @t63)) (= (tptp.apply_binary @t64 @t22 @t63) (tptp.subset_intersection2 @t1 @t22 @t63)))) % 169.36/169.66 (define @t67 () (tptp.element @t63 @t37)) % 169.36/169.66 (define @t68 () (@list @t63)) % 169.36/169.66 (define @t69 () (forall @t68 (=> @t67 @t66))) % 169.36/169.66 (define @t70 () (=> @t38 @t69)) % 169.36/169.66 (define @t71 () (forall @t46 @t70)) % 169.36/169.66 (define @t72 () (tptp.the_carrier @t8)) % 169.36/169.66 (define @t73 () (and (= @t72 @t37) @t71)) % 169.36/169.66 (define @t74 () (tptp.boole_lattice @t1)) % 169.36/169.66 (define @t75 () (= @t8 @t74)) % 169.36/169.66 (define @t76 () (= @t75 @t73)) % 169.36/169.66 (define @t77 () (tptp.latt_str @t8)) % 169.36/169.66 (define @t78 () (tptp.strict_latt_str @t8)) % 169.36/169.66 (define @t79 () (and @t78 @t77)) % 169.36/169.66 (define @t80 () (=> @t79 @t76)) % 169.36/169.66 (define @t81 () (forall @t10 @t80)) % 169.36/169.66 (define @t82 () (tptp.join @t1 @t8 @t22)) % 169.36/169.66 (define @t83 () (tptp.join_semilatt_str @t1)) % 169.36/169.66 (define @t84 () (tptp.singleton @t1)) % 169.36/169.66 (define @t85 () (tptp.latt_str_of @t1 @t8 @t22)) % 169.36/169.66 (define @t86 () (tptp.strict_latt_str @t85)) % 169.36/169.66 (define @t87 () (tptp.cartesian_product2 @t1 @t1)) % 169.36/169.66 (define @t88 () (tptp.relation_of2 @t22 @t87 @t1)) % 169.36/169.66 (define @t89 () (tptp.quasi_total @t22 @t87 @t1)) % 169.36/169.66 (define @t90 () (tptp.function @t22)) % 169.36/169.66 (define @t91 () (tptp.relation_of2 @t8 @t87 @t1)) % 169.36/169.66 (define @t92 () (tptp.quasi_total @t8 @t87 @t1)) % 169.36/169.66 (define @t93 () (tptp.function @t8)) % 169.36/169.66 (define @t94 () (and @t93 @t92 @t91 @t90 @t89 @t88)) % 169.36/169.66 (define @t95 () (tptp.latt_str @t74)) % 169.36/169.66 (define @t96 () (tptp.strict_latt_str @t74)) % 169.36/169.66 (define @t97 () (forall @t7 (and @t96 @t95))) % 169.36/169.66 (define @t98 () (@var "F" $$unsorted)) % 169.36/169.66 (define @t99 () (@var "E" $$unsorted)) % 169.36/169.66 (define @t100 () (tptp.apply_binary_as_element @t1 @t8 @t22 @t63 @t99 @t98)) % 169.36/169.66 (define @t101 () (tptp.empty @t8)) % 169.36/169.66 (define @t102 () (not @t101)) % 169.36/169.66 (define @t103 () (tptp.empty @t1)) % 169.36/169.66 (define @t104 () (not @t103)) % 169.36/169.66 (define @t105 () (and @t104 @t102 (tptp.function @t63) (tptp.quasi_total @t63 @t23 @t22) (tptp.relation_of2 @t63 @t23 @t22) (tptp.element @t99 @t1) (tptp.element @t98 @t8))) % 169.36/169.66 (define @t106 () (@list @t1 @t8 @t22 @t63 @t99 @t98)) % 169.36/169.66 (define @t107 () (tptp.element @t56 @t4)) % 169.36/169.66 (define @t108 () (forall @t7 (=> @t53 @t107))) % 169.36/169.66 (define @t109 () (tptp.one_sorted_str @t1)) % 169.36/169.66 (define @t110 () (and @t33 @t83)) % 169.36/169.66 (define @t111 () (forall @t7 (=> @t6 @t110))) % 169.36/169.66 (define @t112 () (tptp.relation_of2_as_subset @t22 @t1 @t8)) % 169.36/169.66 (define @t113 () (tptp.cartesian_product2 @t4 @t4)) % 169.36/169.66 (define @t114 () (tptp.quasi_total @t2 @t113 @t4)) % 169.36/169.66 (define @t115 () (tptp.function @t2)) % 169.36/169.66 (define @t116 () (tptp.quasi_total @t3 @t113 @t4)) % 169.36/169.66 (define @t117 () (tptp.function @t3)) % 169.36/169.66 (define @t118 () (tptp.relation_of2 @t22 @t1 @t8)) % 169.36/169.66 (define @t119 () (not (tptp.empty_carrier @t74))) % 169.36/169.66 (define @t120 () (forall @t7 (and @t119 @t96))) % 169.36/169.66 (define @t121 () (and @t18 @t109)) % 169.36/169.66 (define @t122 () (tptp.v1_partfun1 @t3 @t113 @t4)) % 169.36/169.66 (define @t123 () (tptp.relation @t3)) % 169.36/169.66 (define @t124 () (tptp.lattice @t74)) % 169.36/169.66 (define @t125 () (tptp.join_absorbing @t74)) % 169.36/169.66 (define @t126 () (tptp.meet_absorbing @t74)) % 169.36/169.66 (define @t127 () (tptp.meet_associative @t74)) % 169.36/169.66 (define @t128 () (tptp.meet_commutative @t74)) % 169.36/169.66 (define @t129 () (tptp.join_associative @t74)) % 169.36/169.66 (define @t130 () (tptp.join_commutative @t74)) % 169.36/169.66 (define @t131 () (forall @t7 (and @t119 @t96 @t130 @t129 @t128 @t127 @t126 @t125 @t124))) % 169.36/169.66 (define @t132 () (tptp.v1_partfun1 @t2 @t113 @t4)) % 169.36/169.66 (define @t133 () (tptp.relation @t2)) % 169.36/169.66 (define @t134 () (exists @t7 @t103)) % 169.36/169.66 (define @t135 () (= @t29 @t43)) % 169.36/169.66 (define @t136 () (forall @t25 (=> @t34 @t135))) % 169.36/169.66 (define @t137 () (tptp.set_union2 @t8 @t22)) % 169.36/169.66 (define @t138 () (tptp.set_intersection2 @t8 @t22)) % 169.36/169.66 (define @t139 () (tptp.meet @t74 @t8 @t22)) % 169.36/169.66 (define @t140 () (tptp.join @t74 @t8 @t22)) % 169.36/169.66 (define @t141 () (and (= @t140 @t137) (= @t139 @t138))) % 169.36/169.66 (define @t142 () (tptp.the_carrier @t74)) % 169.36/169.66 (define @t143 () (tptp.element @t22 @t142)) % 169.36/169.66 (define @t144 () (=> @t143 @t141)) % 169.36/169.66 (define @t145 () (forall @t46 @t144)) % 169.36/169.66 (define @t146 () (tptp.element @t8 @t142)) % 169.36/169.66 (define @t147 () (=> @t146 @t145)) % 169.36/169.66 (define @t148 () (forall @t10 @t147)) % 169.36/169.66 (define @t149 () (tptp.element @t1 @t8)) % 169.36/169.66 (define @t150 () (tptp.set_intersection2 @t1 tptp.empty_set)) % 169.36/169.66 (define @t151 () (forall @t7 (= @t150 tptp.empty_set))) % 169.36/169.66 (define @t152 () (tptp.bottom_of_semilattstr @t74)) % 169.36/169.66 (define @t153 () (tptp.lower_bounded_semilattstr @t74)) % 169.36/169.66 (define @t154 () (and @t153 (= @t152 tptp.empty_set))) % 169.36/169.66 (define @t155 () (forall @t7 @t154)) % 169.36/169.66 (define @t156 () (not @t155)) % 169.36/169.66 (define @t157 () (forall @t10 (= (tptp.element @t1 (tptp.powerset @t8)) (tptp.subset @t1 @t8)))) % 169.36/169.66 (define @t158 () (tptp.element @t8 (tptp.powerset @t22))) % 169.36/169.66 (define @t159 () (= @t1 tptp.empty_set)) % 169.36/169.66 (define @t160 () (forall @t7 (=> @t103 @t159))) % 169.36/169.66 (define @t161 () (forall @t7 @t104)) % 169.36/169.66 (define @t162 () (@quantifiers_skolemize @t161 0)) % 169.36/169.66 (define @t163 () (tptp.empty @t162)) % 169.36/169.66 (define @t164 () (not @t163)) % 169.36/169.66 (define @t165 () (or @t164 (= @t162 tptp.empty_set))) % 169.36/169.66 (define @t166 () (forall @t7 (or @t104 @t159))) % 169.36/169.66 (define @t167 () (= tptp.empty_set @t162)) % 169.36/169.66 (define @t168 () (or @t164 @t167)) % 169.36/169.66 (define @t169 () (@list false)) % 169.36/169.66 (define @t170 () (not @t161)) % 169.36/169.66 (define @t171 () (not @t164)) % 169.36/169.66 (define @t172 () (@list true)) % 169.36/169.66 (define @t173 () (@list false false)) % 169.36/169.66 (define @t174 () (@var "BOUND_VARIABLE_8568" $$unsorted)) % 169.36/169.66 (define @t175 () (forall (@list @t174) (= tptp.empty_set (tptp.bottom_of_semilattstr (tptp.boole_lattice @t174))))) % 169.36/169.66 (define @t176 () (@quantifiers_skolemize @t175 0)) % 169.36/169.66 (define @t177 () (tptp.boole_lattice @t176)) % 169.36/169.66 (define @t178 () (tptp.bottom_of_semilattstr @t177)) % 169.36/169.66 (define @t179 () (and (= @t8 @t43) (= @t8 @t42))) % 169.36/169.66 (define @t180 () (not @t31)) % 169.36/169.66 (define @t181 () (forall @t46 (or @t180 @t179))) % 169.36/169.66 (define @t182 () (not @t32)) % 169.36/169.66 (define @t183 () (= @t51 (not (forall @t49 (or @t182 (not @t181)))))) % 169.36/169.66 (define @t184 () (not @t33)) % 169.36/169.66 (define @t185 () (or @t17 @t184)) % 169.36/169.66 (define @t186 () (not @t18)) % 169.36/169.66 (define @t187 () (not @t53)) % 169.36/169.66 (define @t188 () (and @t32 @t181)) % 169.36/169.66 (define @t189 () (forall @t49 (not @t188))) % 169.36/169.66 (define @t190 () (not @t189)) % 169.36/169.66 (define @t191 () (@var "BOUND_VARIABLE_8562" $$unsorted)) % 169.36/169.66 (define @t192 () (forall (@list @t191) (tptp.lower_bounded_semilattstr (tptp.boole_lattice @t191)))) % 169.36/169.66 (define @t193 () (@quantifiers_skolemize @t192 0)) % 169.36/169.66 (define @t194 () (tptp.boole_lattice @t193)) % 169.36/169.66 (define @t195 () (@list @t194)) % 169.36/169.66 (define @t196 () (forall @t7 @t95)) % 169.36/169.66 (define @t197 () (@list @t1)) % 169.36/169.66 (define @t198 () (forall @t7 @t96)) % 169.36/169.66 (define @t199 () (and @t198 @t196)) % 169.36/169.66 (define @t200 () (@list @t193)) % 169.36/169.66 (define @t201 () (tptp.meet_semilatt_str @t194)) % 169.36/169.66 (define @t202 () (and @t201 (tptp.join_semilatt_str @t194))) % 169.36/169.66 (define @t203 () (tptp.latt_str @t194)) % 169.36/169.66 (define @t204 () (not @t203)) % 169.36/169.66 (define @t205 () (or @t204 @t202)) % 169.36/169.66 (define @t206 () (forall @t7 @t119)) % 169.36/169.66 (define @t207 () (and @t206 @t198)) % 169.36/169.66 (define @t208 () (tptp.the_carrier @t194)) % 169.36/169.66 (define @t209 () (not (tptp.element @t22 @t208))) % 169.36/169.66 (define @t210 () (forall @t49 (or (not (tptp.element @t8 @t208)) (not (forall @t46 (or @t209 (and (= @t8 (tptp.meet @t194 @t8 @t22)) (= @t8 (tptp.meet @t194 @t22 @t8))))))))) % 169.36/169.66 (define @t211 () (not @t210)) % 169.36/169.66 (define @t212 () (tptp.lower_bounded_semilattstr @t194)) % 169.36/169.66 (define @t213 () (= @t212 @t211)) % 169.36/169.66 (define @t214 () (not @t201)) % 169.36/169.66 (define @t215 () (tptp.empty_carrier @t194)) % 169.36/169.66 (define @t216 () (or @t215 @t214 @t213)) % 169.36/169.66 (define @t217 () (@list true false false)) % 169.36/169.66 (define @t218 () (forall @t46 (or @t209 (and (= tptp.empty_set (tptp.meet @t194 tptp.empty_set @t22)) (= tptp.empty_set (tptp.meet @t194 @t22 tptp.empty_set)))))) % 169.36/169.66 (define @t219 () (@quantifiers_skolemize @t218 0)) % 169.36/169.66 (define @t220 () (tptp.element @t219 @t208)) % 169.36/169.66 (define @t221 () (tptp.meet @t194 @t219 tptp.empty_set)) % 169.36/169.66 (define @t222 () (= tptp.empty_set @t221)) % 169.36/169.66 (define @t223 () (tptp.meet @t194 tptp.empty_set @t219)) % 169.36/169.66 (define @t224 () (= tptp.empty_set @t223)) % 169.36/169.66 (define @t225 () (and @t224 @t222)) % 169.36/169.66 (define @t226 () (not @t220)) % 169.36/169.66 (define @t227 () (or @t226 @t225)) % 169.36/169.66 (define @t228 () (forall @t7 @t124)) % 169.36/169.66 (define @t229 () (forall @t7 @t125)) % 169.36/169.66 (define @t230 () (forall @t7 @t126)) % 169.36/169.66 (define @t231 () (forall @t7 @t127)) % 169.36/169.66 (define @t232 () (forall @t7 @t128)) % 169.36/169.66 (define @t233 () (forall @t7 @t129)) % 169.36/169.66 (define @t234 () (forall @t7 @t130)) % 169.36/169.66 (define @t235 () (and @t206 @t198 @t234 @t233 @t232 @t231 @t230 @t229 @t228)) % 169.36/169.66 (define @t236 () (tptp.powerset @t193)) % 169.36/169.66 (define @t237 () (tptp.element tptp.empty_set @t236)) % 169.36/169.66 (define @t238 () (tptp.subset tptp.empty_set @t193)) % 169.36/169.66 (define @t239 () (= @t237 @t238)) % 169.36/169.66 (define @t240 () (= @t238 @t237)) % 169.36/169.66 (define @t241 () (@list @t157)) % 169.36/169.66 (define @t242 () (@var "BOUND_VARIABLE_8053" $$unsorted)) % 169.36/169.66 (define @t243 () (and (= (tptp.apply_binary @t65 @t22 @t242) (tptp.subset_union2 @t1 @t22 @t242)) (= (tptp.apply_binary @t64 @t22 @t242) (tptp.subset_intersection2 @t1 @t22 @t242)))) % 169.36/169.66 (define @t244 () (not (tptp.element @t242 @t37))) % 169.36/169.66 (define @t245 () (not @t38)) % 169.36/169.66 (define @t246 () (or @t245 @t244 @t243)) % 169.36/169.66 (define @t247 () (@list @t22 @t242)) % 169.36/169.66 (define @t248 () (= @t75 (and (= @t37 @t72) (forall @t247 @t246)))) % 169.36/169.66 (define @t249 () (not @t77)) % 169.36/169.66 (define @t250 () (not @t78)) % 169.36/169.66 (define @t251 () (or @t250 @t249 @t248)) % 169.36/169.66 (define @t252 () (or @t244 @t243)) % 169.36/169.66 (define @t253 () (or @t245 @t252)) % 169.36/169.66 (define @t254 () (forall @t247 @t253)) % 169.36/169.66 (define @t255 () (@list @t242)) % 169.36/169.66 (define @t256 () (forall @t255 @t253)) % 169.36/169.66 (define @t257 () (forall @t255 @t252)) % 169.36/169.66 (define @t258 () (or @t245 @t257)) % 169.36/169.66 (define @t259 () (forall @t68 (or (not @t67) @t66))) % 169.36/169.66 (define @t260 () (tptp.apply_binary (tptp.the_L_meet @t194) @t22 @t242)) % 169.36/169.66 (define @t261 () (tptp.subset_intersection2 @t193 @t22 @t242)) % 169.36/169.66 (define @t262 () (tptp.apply_binary (tptp.the_L_join @t194) @t22 @t242)) % 169.36/169.66 (define @t263 () (tptp.subset_union2 @t193 @t22 @t242)) % 169.36/169.66 (define @t264 () (not (tptp.element @t242 @t236))) % 169.36/169.66 (define @t265 () (not (tptp.element @t22 @t236))) % 169.36/169.66 (define @t266 () (= @t208 @t236)) % 169.36/169.66 (define @t267 () (and @t266 (forall @t247 (or @t265 @t264 (and (= @t263 @t262) (= @t261 @t260)))))) % 169.36/169.66 (define @t268 () (and (= @t262 @t263) (= @t260 @t261))) % 169.36/169.66 (define @t269 () (or @t265 @t264 @t268)) % 169.36/169.66 (define @t270 () (forall @t247 @t269)) % 169.36/169.66 (define @t271 () (and (= @t236 @t208) @t270)) % 169.36/169.66 (define @t272 () (= (= @t194 @t194) @t271)) % 169.36/169.67 (define @t273 () (tptp.strict_latt_str @t194)) % 169.36/169.67 (define @t274 () (not @t273)) % 169.36/169.67 (define @t275 () (or @t274 @t204 @t272)) % 169.36/169.67 (define @t276 () (forall @t10 @t251)) % 169.36/169.67 (define @t277 () (or @t274 @t204 @t267)) % 169.36/169.67 (define @t278 () (@list @t276)) % 169.36/169.67 (define @t279 () (@list false false false)) % 169.36/169.67 (define @t280 () (tptp.element tptp.empty_set @t208)) % 169.36/169.67 (define @t281 () (not @t14)) % 169.36/169.67 (define @t282 () (or @t17 @t281 @t184 @t182 @t180 @t135)) % 169.36/169.67 (define @t283 () (or @t17 @t281 @t184 @t182 @t180)) % 169.36/169.67 (define @t284 () (or @t186 @t281 @t184 @t182 @t180)) % 169.36/169.67 (define @t285 () (not @t34)) % 169.36/169.67 (define @t286 () (tptp.meet_commut @t194 tptp.empty_set @t219)) % 169.36/169.67 (define @t287 () (not @t280)) % 169.36/169.67 (define @t288 () (tptp.meet_commutative @t194)) % 169.36/169.67 (define @t289 () (not @t288)) % 169.36/169.67 (define @t290 () (or @t215 @t289 @t214 @t287 @t226 (= @t286 @t223))) % 169.36/169.67 (define @t291 () (forall @t25 @t282)) % 169.36/169.67 (define @t292 () (@list @t194 tptp.empty_set @t219)) % 169.36/169.67 (define @t293 () (= @t223 @t286)) % 169.36/169.67 (define @t294 () (or @t215 @t289 @t214 @t287 @t226 @t293)) % 169.36/169.67 (define @t295 () (@list @t291)) % 169.36/169.67 (define @t296 () (tptp.meet_commut @t194 @t219 tptp.empty_set)) % 169.36/169.67 (define @t297 () (or @t215 @t289 @t214 @t226 @t287 (= @t296 @t221))) % 169.36/169.67 (define @t298 () (= @t221 @t296)) % 169.36/169.67 (define @t299 () (or @t215 @t289 @t214 @t226 @t287 @t298)) % 169.36/169.67 (define @t300 () (@var "BOUND_VARIABLE_8531" $$unsorted)) % 169.36/169.67 (define @t301 () (and (= (tptp.set_union2 @t8 @t300) (tptp.join @t74 @t8 @t300)) (= (tptp.set_intersection2 @t8 @t300) (tptp.meet @t74 @t8 @t300)))) % 169.36/169.67 (define @t302 () (not (tptp.element @t300 @t142))) % 169.36/169.67 (define @t303 () (not @t146)) % 169.36/169.67 (define @t304 () (or @t303 @t302 @t301)) % 169.36/169.67 (define @t305 () (or @t302 @t301)) % 169.36/169.67 (define @t306 () (or @t303 @t305)) % 169.36/169.67 (define @t307 () (@list @t1 @t8 @t300)) % 169.36/169.67 (define @t308 () (forall @t307 @t306)) % 169.36/169.67 (define @t309 () (@list @t300)) % 169.36/169.67 (define @t310 () (forall @t309 @t306)) % 169.36/169.67 (define @t311 () (forall @t309 @t305)) % 169.36/169.67 (define @t312 () (or @t303 @t311)) % 169.36/169.67 (define @t313 () (and (= @t137 @t140) (= @t138 @t139))) % 169.36/169.67 (define @t314 () (forall @t46 (or (not @t143) @t313))) % 169.36/169.67 (define @t315 () (tptp.set_intersection2 @t219 tptp.empty_set)) % 169.36/169.67 (define @t316 () (= (tptp.set_union2 @t219 tptp.empty_set) (tptp.join @t194 @t219 tptp.empty_set))) % 169.36/169.67 (define @t317 () (and @t316 (= @t315 @t221))) % 169.36/169.67 (define @t318 () (or @t226 @t287 @t317)) % 169.36/169.67 (define @t319 () (forall @t307 @t304)) % 169.36/169.67 (define @t320 () (= @t221 @t315)) % 169.36/169.67 (define @t321 () (and @t316 @t320)) % 169.36/169.67 (define @t322 () (or @t226 @t287 @t321)) % 169.36/169.67 (define @t323 () (@list @t319)) % 169.36/169.67 (define @t324 () (= @t286 @t296)) % 169.36/169.67 (define @t325 () (or @t215 @t289 @t214 @t287 @t226 @t324)) % 169.36/169.67 (define @t326 () (= tptp.empty_set @t315)) % 169.36/169.67 (define @t327 () (and @t293 @t298 @t320 @t326 @t324)) % 169.36/169.67 (define @t328 () (not @t326)) % 169.36/169.67 (define @t329 () (not @t320)) % 169.36/169.67 (define @t330 () (and @t320 @t326)) % 169.36/169.67 (define @t331 () (not @t227)) % 169.36/169.67 (define @t332 () (not @t218)) % 169.36/169.67 (define @t333 () (or @t287 @t332)) % 169.36/169.67 (define @t334 () (not @t333)) % 169.36/169.67 (define @t335 () (@list tptp.empty_set)) % 169.36/169.67 (define @t336 () (not @t213)) % 169.36/169.67 (define @t337 () (not @t212)) % 169.36/169.67 (define @t338 () (not @t192)) % 169.36/169.67 (define @t339 () (= tptp.empty_set @t152)) % 169.36/169.67 (define @t340 () (forall @t7 @t339)) % 169.36/169.67 (define @t341 () (forall @t7 @t153)) % 169.36/169.67 (define @t342 () (and @t341 @t340)) % 169.36/169.67 (define @t343 () (not @t175)) % 169.36/169.67 (define @t344 () (@list @t192)) % 169.36/169.67 (define @t345 () (= tptp.empty_set @t178)) % 169.36/169.67 (define @t346 () (not @t345)) % 169.36/169.67 (define @t347 () (@var "BOUND_VARIABLE_8003" $$unsorted)) % 169.36/169.67 (define @t348 () (= @t56 @t347)) % 169.36/169.67 (define @t349 () (forall @t46 (or @t180 (and (= @t347 (tptp.meet @t1 @t347 @t22)) (= @t347 (tptp.meet @t1 @t22 @t347)))))) % 169.36/169.67 (define @t350 () (= (= @t347 @t56) @t349)) % 169.36/169.67 (define @t351 () (not (tptp.element @t347 @t4))) % 169.36/169.67 (define @t352 () (not @t51)) % 169.36/169.67 (define @t353 () (or @t17 @t184 @t352 @t351 @t350)) % 169.36/169.67 (define @t354 () (or @t351 @t350)) % 169.36/169.67 (define @t355 () (or @t17 @t184 @t352 @t354)) % 169.36/169.67 (define @t356 () (@list @t1 @t347)) % 169.36/169.67 (define @t357 () (forall @t356 @t355)) % 169.36/169.67 (define @t358 () (@list @t347)) % 169.36/169.67 (define @t359 () (forall @t358 @t355)) % 169.36/169.67 (define @t360 () (forall @t358 @t354)) % 169.36/169.67 (define @t361 () (or @t17 @t184 @t352 @t360)) % 169.36/169.67 (define @t362 () (= @t57 @t181)) % 169.36/169.67 (define @t363 () (forall @t49 (or @t182 @t362))) % 169.36/169.67 (define @t364 () (or @t17 @t184 @t352 @t363)) % 169.36/169.67 (define @t365 () (=> @t51 @t363)) % 169.36/169.67 (define @t366 () (tptp.the_carrier @t177)) % 169.36/169.67 (define @t367 () (forall @t46 (or (not (tptp.element @t22 @t366)) (and (= @t178 (tptp.meet @t177 @t178 @t22)) (= @t178 (tptp.meet @t177 @t22 @t178)))))) % 169.36/169.67 (define @t368 () (= @t367 (= @t178 @t178))) % 169.36/169.67 (define @t369 () (tptp.element @t178 @t366)) % 169.36/169.67 (define @t370 () (not @t369)) % 169.36/169.67 (define @t371 () (tptp.lower_bounded_semilattstr @t177)) % 169.36/169.67 (define @t372 () (not @t371)) % 169.36/169.67 (define @t373 () (tptp.meet_semilatt_str @t177)) % 169.36/169.67 (define @t374 () (not @t373)) % 169.36/169.67 (define @t375 () (tptp.empty_carrier @t177)) % 169.36/169.67 (define @t376 () (or @t375 @t374 @t372 @t370 @t368)) % 169.36/169.67 (define @t377 () (forall @t356 (or @t17 @t184 @t352 @t351 (= @t349 @t348)))) % 169.36/169.67 (define @t378 () (or @t375 @t374 @t372 @t370 @t367)) % 169.36/169.67 (define @t379 () (@list @t176)) % 169.36/169.67 (define @t380 () (@list @t177)) % 169.36/169.67 (define @t381 () (and @t373 (tptp.join_semilatt_str @t177))) % 169.36/169.67 (define @t382 () (tptp.latt_str @t177)) % 169.36/169.67 (define @t383 () (not @t382)) % 169.36/169.67 (define @t384 () (or @t383 @t381)) % 169.36/169.67 (define @t385 () (or @t375 @t374 @t369)) % 169.36/169.67 (define @t386 () (tptp.meet @t177 @t178 tptp.empty_set)) % 169.36/169.67 (define @t387 () (= @t178 @t386)) % 169.36/169.67 (define @t388 () (and @t387 (= @t178 (tptp.meet @t177 tptp.empty_set @t178)))) % 169.36/169.67 (define @t389 () (tptp.element tptp.empty_set @t366)) % 169.36/169.67 (define @t390 () (not @t389)) % 169.36/169.67 (define @t391 () (or @t390 @t388)) % 169.36/169.67 (define @t392 () (tptp.powerset @t176)) % 169.36/169.67 (define @t393 () (tptp.element tptp.empty_set @t392)) % 169.36/169.67 (define @t394 () (tptp.subset tptp.empty_set @t176)) % 169.36/169.67 (define @t395 () (= @t393 @t394)) % 169.36/169.67 (define @t396 () (= @t394 @t393)) % 169.36/169.67 (define @t397 () (tptp.apply_binary (tptp.the_L_meet @t177) @t22 @t242)) % 169.36/169.67 (define @t398 () (tptp.subset_intersection2 @t176 @t22 @t242)) % 169.36/169.67 (define @t399 () (tptp.apply_binary (tptp.the_L_join @t177) @t22 @t242)) % 169.36/169.67 (define @t400 () (tptp.subset_union2 @t176 @t22 @t242)) % 169.36/169.67 (define @t401 () (not (tptp.element @t242 @t392))) % 169.36/169.67 (define @t402 () (not (tptp.element @t22 @t392))) % 169.36/169.67 (define @t403 () (= @t392 @t366)) % 169.36/169.67 (define @t404 () (and @t403 (forall @t247 (or @t402 @t401 (and (= @t400 @t399) (= @t398 @t397)))))) % 169.36/169.67 (define @t405 () (and (= @t399 @t400) (= @t397 @t398))) % 169.36/169.67 (define @t406 () (or @t402 @t401 @t405)) % 169.36/169.67 (define @t407 () (forall @t247 @t406)) % 169.36/169.67 (define @t408 () (and @t403 @t407)) % 169.36/169.67 (define @t409 () (= (= @t177 @t177) @t408)) % 169.36/169.67 (define @t410 () (tptp.strict_latt_str @t177)) % 169.36/169.67 (define @t411 () (not @t410)) % 169.36/169.67 (define @t412 () (or @t411 @t383 @t409)) % 169.36/169.67 (define @t413 () (or @t411 @t383 @t404)) % 169.36/169.67 (define @t414 () (tptp.set_intersection2 @t178 tptp.empty_set)) % 169.36/169.67 (define @t415 () (= (tptp.set_union2 @t178 tptp.empty_set) (tptp.join @t177 @t178 tptp.empty_set))) % 169.36/169.67 (define @t416 () (and @t415 (= @t414 @t386))) % 169.36/169.67 (define @t417 () (or @t370 @t390 @t416)) % 169.36/169.67 (define @t418 () (= @t386 @t414)) % 169.36/169.67 (define @t419 () (and @t415 @t418)) % 169.36/169.67 (define @t420 () (or @t370 @t390 @t419)) % 169.36/169.67 (define @t421 () (not @t418)) % 169.36/169.67 (define @t422 () (= tptp.empty_set @t414)) % 169.36/169.67 (define @t423 () (not @t422)) % 169.36/169.67 (define @t424 () (not @t387)) % 169.36/169.67 (define @t425 () (not @t167)) % 169.36/169.67 (define @t426 () (and @t167 @t422 @t418 @t387 @t346)) % 169.36/169.67 (assume @p1 (forall @t7 (=> @t6 (=> @t5 (= @t1 (tptp.latt_str_of @t4 @t3 @t2)))))) % 169.36/169.67 (assume @p2 (forall @t10 (=> @t9 (not (tptp.in @t8 @t1))))) % 169.36/169.67 (assume @p3 (forall @t7 (=> @t6 (=> @t21 @t19)))) % 169.36/169.67 (assume @p4 (forall @t25 (=> @t24 (tptp.relation @t22)))) % 169.36/169.67 (assume @p5 (forall @t7 (=> @t6 (=> @t19 @t21)))) % 169.36/169.67 (assume @p6 (forall @t10 (= @t26 (tptp.unordered_pair @t8 @t1)))) % 169.36/169.67 (assume @p7 (forall @t10 (= @t28 @t27))) % 169.36/169.67 (assume @p8 (forall @t10 (= (tptp.set_intersection2 @t1 @t8) (tptp.set_intersection2 @t8 @t1)))) % 169.36/169.67 (assume @p9 @t35) % 169.36/169.67 (assume @p10 (forall @t25 (=> @t40 (= @t36 (tptp.subset_union2 @t1 @t22 @t8))))) % 169.36/169.67 (assume @p11 (forall @t25 (=> @t40 (= @t41 (tptp.subset_intersection2 @t1 @t22 @t8))))) % 169.36/169.67 (assume @p12 @t55) % 169.36/169.67 (assume @p13 @t62) % 169.36/169.67 (assume @p14 (forall @t7 (=> (and (tptp.relation @t1) (tptp.function @t1)) (forall (@list @t8 @t22) (= (tptp.apply_binary @t1 @t8 @t22) (tptp.apply @t1 (tptp.ordered_pair @t8 @t22))))))) % 169.36/169.67 (assume @p15 @t81) % 169.36/169.67 (assume @p16 (forall @t7 (=> (and @t18 @t83) (forall @t49 (=> @t32 (forall @t46 (=> @t31 (= @t82 (tptp.apply_binary_as_element @t4 @t4 @t4 @t3 @t8 @t22))))))))) % 169.36/169.67 (assume @p17 (forall @t7 (=> @t53 (forall @t49 (=> @t32 (forall @t46 (=> @t31 (= @t43 (tptp.apply_binary_as_element @t4 @t4 @t4 @t2 @t8 @t22))))))))) % 169.36/169.67 (assume @p18 (forall @t10 (= (tptp.ordered_pair @t1 @t8) (tptp.unordered_pair @t26 @t84)))) % 169.36/169.67 (assume @p19 (forall @t25 (=> @t94 (and @t86 (tptp.latt_str @t85))))) % 169.36/169.67 (assume @p20 true) % 169.36/169.67 (assume @p21 @t97) % 169.36/169.67 (assume @p22 (forall @t25 (=> (and @t18 @t83 @t32 @t31) (tptp.element @t82 @t4)))) % 169.36/169.67 (assume @p23 (forall @t106 (=> @t105 (tptp.element @t100 @t22)))) % 169.36/169.67 (assume @p24 (forall @t25 (=> (and @t18 @t33 @t32 @t31) (tptp.element @t43 @t4)))) % 169.36/169.67 (assume @p25 (forall @t25 (=> @t34 (tptp.element @t29 @t4)))) % 169.36/169.67 (assume @p26 (forall @t25 (=> @t40 (tptp.element @t36 @t37)))) % 169.36/169.67 (assume @p27 @t108) % 169.36/169.67 (assume @p28 (forall @t25 (=> @t40 (tptp.element @t41 @t37)))) % 169.36/169.67 (assume @p29 (forall @t7 (=> @t33 @t109))) % 169.36/169.67 (assume @p30 (forall @t7 (=> @t83 @t109))) % 169.36/169.67 (assume @p31 @t111) % 169.36/169.67 (assume @p32 (forall @t25 (=> @t112 @t24))) % 169.36/169.67 (assume @p33 (forall @t7 (=> @t33 (and @t115 @t114 (tptp.relation_of2_as_subset @t2 @t113 @t4))))) % 169.36/169.67 (assume @p34 (forall @t7 (=> @t83 (and @t117 @t116 (tptp.relation_of2_as_subset @t3 @t113 @t4))))) % 169.36/169.67 (assume @p35 (exists @t7 @t33)) % 169.36/169.67 (assume @p36 (exists @t7 @t109)) % 169.36/169.67 (assume @p37 (exists @t7 @t83)) % 169.36/169.67 (assume @p38 (exists @t7 @t6)) % 169.36/169.67 (assume @p39 (forall @t10 (exists @t46 @t118))) % 169.36/169.67 (assume @p40 (forall @t7 (exists @t49 (tptp.element @t8 @t1)))) % 169.36/169.67 (assume @p41 (forall @t10 (exists @t46 @t112))) % 169.36/169.67 (assume @p42 @t120) % 169.36/169.67 (assume @p43 (forall @t7 (=> @t121 (not (tptp.empty @t4))))) % 169.36/169.67 (assume @p44 (forall @t7 (not (tptp.empty @t37)))) % 169.36/169.67 (assume @p45 (tptp.empty tptp.empty_set)) % 169.36/169.67 (assume @p46 (forall @t7 (=> (and @t18 @t16 @t83) (and @t123 @t117 @t116 (tptp.v1_binop_1 @t3 @t4) @t122)))) % 169.36/169.67 (assume @p47 @t131) % 169.36/169.67 (assume @p48 (forall @t7 (not (tptp.empty @t84)))) % 169.36/169.67 (assume @p49 (forall @t10 (=> @t104 (not (tptp.empty @t28))))) % 169.36/169.67 (assume @p50 (forall @t7 (=> (and @t18 @t15 @t83) (and @t123 @t117 @t116 (tptp.v2_binop_1 @t3 @t4) @t122)))) % 169.36/169.67 (assume @p51 (forall @t25 (=> (and @t104 @t93 @t92 @t91 @t90 @t89 @t88) (and (not (tptp.empty_carrier @t85)) @t86)))) % 169.36/169.67 (assume @p52 (forall @t10 (not (tptp.empty @t26)))) % 169.36/169.67 (assume @p53 (forall @t10 (=> @t104 (not (tptp.empty @t27))))) % 169.36/169.67 (assume @p54 (forall @t7 (=> (and @t18 @t14 @t33) (and @t133 @t115 @t114 (tptp.v1_binop_1 @t2 @t4) @t132)))) % 169.36/169.67 (assume @p55 (forall @t10 (=> (and @t104 @t102) (not (tptp.empty @t23))))) % 169.36/169.67 (assume @p56 (forall @t7 (=> (and @t18 @t13 @t33) (and @t133 @t115 @t114 (tptp.v2_binop_1 @t2 @t4) @t132)))) % 169.36/169.67 (assume @p57 (forall @t25 (=> @t94 (forall (@list @t63 @t99 @t98) (=> (= @t85 (tptp.latt_str_of @t63 @t99 @t98)) (and (= @t1 @t63) (= @t8 @t99) (= @t22 @t98))))))) % 169.36/169.67 (assume @p58 (forall @t10 (= (tptp.set_union2 @t1 @t1) @t1))) % 169.36/169.67 (assume @p59 (forall @t10 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 169.36/169.67 (assume @p60 (forall @t25 (=> @t40 (= (tptp.subset_union2 @t1 @t8 @t8) @t8)))) % 169.36/169.67 (assume @p61 (forall @t25 (=> @t40 (= (tptp.subset_intersection2 @t1 @t8 @t8) @t8)))) % 169.36/169.67 (assume @p62 (forall @t7 (=> @t104 (exists @t49 (and @t39 @t102))))) % 169.36/169.67 (assume @p63 @t134) % 169.36/169.67 (assume @p64 (forall @t7 (exists @t49 (and @t39 @t101)))) % 169.36/169.67 (assume @p65 (exists @t7 @t104)) % 169.36/169.67 (assume @p66 (exists @t7 (and @t6 @t5))) % 169.36/169.67 (assume @p67 (exists @t7 (and @t109 @t18))) % 169.36/169.67 (assume @p68 (forall @t7 (=> @t121 (exists @t49 (and (tptp.element @t8 (tptp.powerset @t4)) @t102))))) % 169.36/169.67 (assume @p69 (exists @t7 (and @t6 @t18 @t5))) % 169.36/169.67 (assume @p70 (exists @t7 (and @t6 @t18 @t5 @t16 @t15 @t14 @t13 @t12 @t11 @t20))) % 169.36/169.67 (assume @p71 (forall @t106 (=> @t105 (= @t100 (tptp.apply_binary @t63 @t99 @t98))))) % 169.36/169.67 (assume @p72 @t136) % 169.36/169.67 (assume @p73 (forall @t25 (=> @t40 (= @t36 @t137)))) % 169.36/169.67 (assume @p74 (forall @t25 (=> @t40 (= @t41 @t138)))) % 169.36/169.67 (assume @p75 (forall @t25 (= @t112 @t118))) % 169.36/169.67 (assume @p76 (forall @t10 (tptp.subset @t1 @t1))) % 169.36/169.67 (assume @p77 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 169.36/169.67 (assume @p78 @t148) % 169.36/169.67 (assume @p79 (forall @t10 (=> @t9 @t149))) % 169.36/169.67 (assume @p80 @t151) % 169.36/169.67 (assume @p81 (forall @t10 (=> @t149 (or @t101 @t9)))) % 169.36/169.67 (assume @p82 (forall @t7 (tptp.subset tptp.empty_set @t1))) % 169.36/169.67 (assume @p83 @t156) % 169.36/169.67 (assume @p84 @t157) % 169.36/169.67 (assume @p85 (forall @t25 (=> (and @t9 @t158) (tptp.element @t1 @t22)))) % 169.36/169.67 (assume @p86 (forall @t25 (not (and @t9 @t158 (tptp.empty @t22))))) % 169.36/169.67 (assume @p87 @t160) % 169.36/169.67 (assume @p88 (forall @t10 (not (and @t9 @t101)))) % 169.36/169.67 (assume @p89 (forall @t10 (not (and @t103 (not (= @t1 @t8)) @t101)))) % 169.36/169.67 (step @p90 :rule bool-impl-elim :args (@t103 @t159)) % 169.36/169.67 (step @p91 :rule cong :premises (@p90) :args (@t160)) % 169.36/169.67 (step @p92 :rule eq_resolve :premises (@p87 @p91)) % 169.36/169.67 (step @p93 :rule eq-symm :args (@t162 tptp.empty_set)) % 169.36/169.67 (step @p94 :rule refl :args (@t164)) % 169.36/169.67 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t165)) % 169.36/169.67 (step @p96 :rule refl :args (@t166)) % 169.36/169.67 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t166 @t165))) % 169.36/169.67 (assume-push @p759 @t166) % 169.36/169.67 (step @p99 :rule instantiate :premises (@p92) :args ((@list @t162))) % 169.36/169.67 (step-pop @p760 :rule scope :premises (@p99)) % 169.36/169.67 (step @p100 :rule process_scope :premises (@p760) :args (@t165)) % 169.36/169.67 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 169.36/169.67 (step @p103 :rule implies_elim :premises (@p102)) % 169.36/169.67 (step @p104 :rule chain_m_resolution :premises (@p103 @p92) :args (@t168 @t169 (@list @t166))) % 169.36/169.67 (step @p105 :rule exists-elim :args ((= @t134 @t170))) % 169.36/169.67 (step @p106 :rule eq_resolve :premises (@p63 @p105)) % 169.36/169.67 (step @p107 :rule refl :args (@t163)) % 169.36/169.67 (step @p108 :rule bool-double-not-elim :args (@t161)) % 169.36/169.67 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t170) @t163))) % 169.36/169.67 (step @p110 :rule bool-double-not-elim :args (@t163)) % 169.36/169.67 (step @p111 :rule refl :args (@t170)) % 169.36/169.67 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t170 @t171))) % 169.36/169.67 (assume-push @p761 @t170) % 169.36/169.67 (step @p114 :rule skolemize :premises (@p106)) % 169.36/169.67 (step-pop @p762 :rule scope :premises (@p114)) % 169.36/169.67 (step @p115 :rule process_scope :premises (@p762) :args (@t171)) % 169.36/169.67 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 169.36/169.67 (step @p118 :rule implies_elim :premises (@p117)) % 169.36/169.67 (step @p119 :rule eq_resolve :premises (@p118 @p109)) % 169.36/169.67 (step @p120 :rule chain_m_resolution :premises (@p119 @p106) :args (@t163 @t172 (@list @t161))) % 169.36/169.67 (step @p121 :rule cnf_or_pos :args (@t168)) % 169.36/169.67 (step @p122 :rule reordering :premises (@p121) :args ((or @t164 @t167 (not @t168)))) % 169.36/169.67 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p104) :args (@t167 @t173 (@list @t163 @t168))) % 169.36/169.67 (step @p124 :rule eq-symm :args (@t150 tptp.empty_set)) % 169.36/169.67 (step @p125 :rule cong :premises (@p124) :args (@t151)) % 169.36/169.67 (step @p126 :rule eq_resolve :premises (@p80 @p125)) % 169.36/169.67 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t178))) % 169.36/169.67 (step @p128 :rule aci_norm :args ((= (or @t185 @t183) (or @t17 @t184 @t183)))) % 169.36/169.67 (step @p129 :rule refl :args (@t183)) % 169.36/169.67 (step @p130 :rule refl :args (@t184)) % 169.36/169.67 (step @p131 :rule bool-double-not-elim :args (@t17)) % 169.36/169.67 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t186 @t184))) % 169.36/169.67 (step @p133 :rule bool-and-de-morgan :args (@t18 @t33 true)) % 169.36/169.67 (step @p134 :rule trans :premises (@p133 @p132)) % 169.36/169.67 (step @p135 :rule nary_cong :premises (@p134 @p129) :args ((or @t187 @t183))) % 169.36/169.67 (step @p136 :rule trans :premises (@p135 @p128)) % 169.36/169.67 (step @p137 :rule bool-impl-elim :args (@t53 @t183)) % 169.36/169.67 (step @p138 :rule trans :premises (@p137 @p136)) % 169.36/169.67 (step @p139 :rule cong :premises (@p138) :args ((forall @t7 (=> @t53 @t183)))) % 169.36/169.67 (step @p140 :rule bool-and-de-morgan :args (@t32 @t181 true)) % 169.36/169.67 (step @p141 :rule cong :premises (@p140) :args (@t189)) % 169.36/169.67 (step @p142 :rule cong :premises (@p141) :args (@t190)) % 169.36/169.67 (step @p143 :rule exists-elim :args ((= (exists @t49 @t188) @t190))) % 169.36/169.67 (step @p144 :rule trans :premises (@p143 @p142)) % 169.36/169.67 (step @p145 :rule bool-impl-elim :args (@t31 @t179)) % 169.36/169.67 (step @p146 :rule cong :premises (@p145) :args ((forall @t46 (=> @t31 @t179)))) % 169.36/169.67 (step @p147 :rule eq-symm :args (@t42 @t8)) % 169.36/169.67 (step @p148 :rule eq-symm :args (@t43 @t8)) % 169.36/169.67 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t44)) % 169.36/169.67 (step @p150 :rule refl :args (@t31)) % 169.36/169.67 (step @p151 :rule cong :premises (@p150 @p149) :args (@t45)) % 169.36/169.67 (step @p152 :rule cong :premises (@p151) :args (@t47)) % 169.36/169.67 (step @p153 :rule trans :premises (@p152 @p146)) % 169.36/169.67 (step @p154 :rule refl :args (@t32)) % 169.36/169.67 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t48)) % 169.36/169.67 (step @p156 :rule cong :premises (@p155) :args (@t50)) % 169.36/169.67 (step @p157 :rule trans :premises (@p156 @p144)) % 169.36/169.67 (step @p158 :rule refl :args (@t51)) % 169.36/169.67 (step @p159 :rule cong :premises (@p158 @p157) :args (@t52)) % 169.36/169.67 (step @p160 :rule refl :args (@t53)) % 169.36/169.67 (step @p161 :rule cong :premises (@p160 @p159) :args (@t54)) % 169.36/169.67 (step @p162 :rule cong :premises (@p161) :args (@t55)) % 169.36/169.67 (step @p163 :rule trans :premises (@p162 @p139)) % 169.36/169.67 (step @p164 :rule eq_resolve :premises (@p12 @p163)) % 169.36/169.67 (step @p165 :rule instantiate :premises (@p164) :args (@t195)) % 169.36/169.67 (step @p166 :rule bool-impl-elim :args (@t6 @t110)) % 169.36/169.67 (step @p167 :rule cong :premises (@p166) :args (@t111)) % 169.36/169.67 (step @p168 :rule eq_resolve :premises (@p31 @p167)) % 169.36/169.67 (step @p169 :rule instantiate :premises (@p168) :args (@t195)) % 169.36/169.67 (step @p170 :rule alpha_equiv :args (@t196 @t197 (@list (@var "BOUND_VARIABLE_8183" $$unsorted)))) % 169.36/169.67 (step @p171 :rule alpha_equiv :args (@t198 @t197 (@list (@var "BOUND_VARIABLE_8177" $$unsorted)))) % 169.36/169.67 (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t199)) % 169.36/169.67 (step @p173 :rule quant-miniscope-and :args ((= @t97 @t199))) % 169.36/169.67 (step @p174 :rule trans :premises (@p173 @p172)) % 169.36/169.67 (step @p175 :rule eq_resolve :premises (@p21 @p174)) % 169.36/169.67 (step @p176 :rule and_elim :premises (@p175) :args (1)) % 169.36/169.67 (step @p177 :rule instantiate :premises (@p176) :args (@t200)) % 169.36/169.67 (step @p178 :rule cnf_or_pos :args (@t205)) % 169.36/169.67 (step @p179 :rule reordering :premises (@p178) :args ((or @t204 @t202 (not @t205)))) % 169.36/169.67 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p169) :args (@t202 @t173 (@list @t203 @t205))) % 169.36/169.67 (step @p181 :rule cnf_and_pos :args (@t202 0)) % 169.36/169.67 (step @p182 :rule reordering :premises (@p181) :args ((or @t201 (not @t202)))) % 169.36/169.67 (step @p183 :rule chain_m_resolution :premises (@p182 @p180) :args (@t201 @t169 (@list @t202))) % 169.36/169.67 (step @p184 :rule alpha_equiv :args (@t198 @t197 (@list (@var "BOUND_VARIABLE_8276" $$unsorted)))) % 169.36/169.67 (step @p185 :rule alpha_equiv :args (@t206 @t197 (@list (@var "BOUND_VARIABLE_8269" $$unsorted)))) % 169.36/169.67 (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t207)) % 169.36/169.67 (step @p187 :rule quant-miniscope-and :args ((= @t120 @t207))) % 169.36/169.67 (step @p188 :rule trans :premises (@p187 @p186)) % 169.36/169.67 (step @p189 :rule eq_resolve :premises (@p42 @p188)) % 169.36/169.67 (step @p190 :rule and_elim :premises (@p189) :args (0)) % 169.36/169.67 (step @p191 :rule instantiate :premises (@p190) :args (@t200)) % 169.36/169.67 (step @p192 :rule cnf_or_pos :args (@t216)) % 169.36/169.67 (step @p193 :rule reordering :premises (@p192) :args ((or @t215 @t214 @t213 (not @t216)))) % 169.36/169.67 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p183 @p165) :args (@t213 @t217 (@list @t215 @t201 @t216))) % 169.36/169.67 (step @p195 :rule bool-double-not-elim :args (@t220)) % 169.36/169.67 (step @p196 :rule refl :args (@t227)) % 169.36/169.67 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t227 (not @t226)))) % 169.36/169.67 (step @p198 :rule cnf_or_neg :args (@t227 0)) % 169.36/169.67 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 169.36/169.67 (step @p200 :rule reordering :premises (@p199) :args ((or @t220 @t227))) % 169.36/169.67 (step @p201 :rule cnf_or_neg :args (@t227 1)) % 169.36/169.67 (step @p202 :rule alpha_equiv :args (@t228 @t197 (@list (@var "BOUND_VARIABLE_8347" $$unsorted)))) % 169.36/169.67 (step @p203 :rule alpha_equiv :args (@t229 @t197 (@list (@var "BOUND_VARIABLE_8341" $$unsorted)))) % 169.36/169.67 (step @p204 :rule alpha_equiv :args (@t230 @t197 (@list (@var "BOUND_VARIABLE_8335" $$unsorted)))) % 169.36/169.67 (step @p205 :rule alpha_equiv :args (@t231 @t197 (@list (@var "BOUND_VARIABLE_8328" $$unsorted)))) % 169.36/169.67 (step @p206 :rule alpha_equiv :args (@t232 @t197 (@list (@var "BOUND_VARIABLE_8321" $$unsorted)))) % 169.36/169.67 (step @p207 :rule alpha_equiv :args (@t233 @t197 (@list (@var "BOUND_VARIABLE_8314" $$unsorted)))) % 169.36/169.67 (step @p208 :rule alpha_equiv :args (@t234 @t197 (@list (@var "BOUND_VARIABLE_8307" $$unsorted)))) % 169.36/169.67 (step @p209 :rule alpha_equiv :args (@t198 @t197 (@list (@var "BOUND_VARIABLE_8301" $$unsorted)))) % 169.36/169.67 (step @p210 :rule alpha_equiv :args (@t206 @t197 (@list (@var "BOUND_VARIABLE_8294" $$unsorted)))) % 169.36/169.67 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202) :args (@t235)) % 169.36/169.67 (step @p212 :rule quant-miniscope-and :args ((= @t131 @t235))) % 169.36/169.67 (step @p213 :rule trans :premises (@p212 @p211)) % 169.36/169.67 (step @p214 :rule eq_resolve :premises (@p47 @p213)) % 169.36/169.67 (step @p215 :rule and_elim :premises (@p214) :args (4)) % 169.36/169.67 (step @p216 :rule instantiate :premises (@p215) :args (@t200)) % 169.36/169.67 (step @p217 :rule eq-symm :args (@t237 @t238)) % 169.36/169.67 (step @p218 :rule refl :args (@t157)) % 169.36/169.67 (step @p219 :rule cong :premises (@p218 @p217) :args ((=> @t157 @t239))) % 169.36/169.67 (assume-push @p763 @t157) % 169.36/169.67 (step @p221 :rule instantiate :premises (@p84) :args ((@list tptp.empty_set @t193))) % 169.36/169.67 (step-pop @p764 :rule scope :premises (@p221)) % 169.36/169.67 (step @p222 :rule process_scope :premises (@p764) :args (@t239)) % 169.36/169.67 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 169.36/169.67 (step @p225 :rule implies_elim :premises (@p224)) % 169.36/169.67 (step @p226 :rule chain_m_resolution :premises (@p225 @p84) :args (@t240 @t169 @t241)) % 169.36/169.67 (step @p227 :rule instantiate :premises (@p82) :args (@t200)) % 169.36/169.67 (step @p228 :rule cnf_equiv_pos1 :args (@t240)) % 169.36/169.67 (step @p229 :rule reordering :premises (@p228) :args ((or @t237 (not @t238) (not @t240)))) % 169.36/169.67 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p226) :args (@t237 @t173 (@list @t238 @t240))) % 169.36/169.67 (step @p231 :rule true_intro :premises (@p230)) % 169.36/169.67 (step @p232 :rule aci_norm :args ((= (or (or @t250 @t249) @t248) @t251))) % 169.36/169.67 (step @p233 :rule refl :args (@t248)) % 169.36/169.67 (step @p234 :rule bool-and-de-morgan :args (@t78 @t77 true)) % 169.36/169.67 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or (not @t79) @t248))) % 169.36/169.67 (step @p236 :rule trans :premises (@p235 @p232)) % 169.36/169.67 (step @p237 :rule bool-impl-elim :args (@t79 @t248)) % 169.36/169.67 (step @p238 :rule trans :premises (@p237 @p236)) % 169.36/169.67 (step @p239 :rule cong :premises (@p238) :args ((forall @t10 (=> @t79 @t248)))) % 169.36/169.67 (step @p240 :rule aci_norm :args ((= @t253 @t246))) % 169.36/169.67 (step @p241 :rule cong :premises (@p240) :args (@t254)) % 169.36/169.67 (step @p242 :rule quant-merge-prenex :args ((= (forall @t46 @t256) @t254))) % 169.36/169.67 (step @p243 :rule alpha_equiv :args (@t257 (@list @t242) (@list @t63))) % 169.36/169.67 (step @p244 :rule refl :args (@t245)) % 169.36/169.67 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t258)) % 169.36/169.67 (step @p246 :rule quant-miniscope-or :args ((= @t256 @t258))) % 169.36/169.67 (step @p247 :rule trans :premises (@p246 @p245)) % 169.36/169.67 (step @p248 :rule symm :premises (@p247)) % 169.36/169.67 (step @p249 :rule cong :premises (@p248) :args ((forall @t46 (or @t245 @t259)))) % 169.36/169.67 (step @p250 :rule trans :premises (@p249 @p242)) % 169.36/169.67 (step @p251 :rule trans :premises (@p250 @p241)) % 169.36/169.67 (step @p252 :rule bool-impl-elim :args (@t38 @t259)) % 169.36/169.67 (step @p253 :rule cong :premises (@p252) :args ((forall @t46 (=> @t38 @t259)))) % 169.36/169.67 (step @p254 :rule trans :premises (@p253 @p251)) % 169.36/169.67 (step @p255 :rule bool-impl-elim :args (@t67 @t66)) % 169.36/169.67 (step @p256 :rule cong :premises (@p255) :args (@t69)) % 169.36/169.67 (step @p257 :rule refl :args (@t38)) % 169.36/169.67 (step @p258 :rule cong :premises (@p257 @p256) :args (@t70)) % 169.36/169.67 (step @p259 :rule cong :premises (@p258) :args (@t71)) % 169.36/169.67 (step @p260 :rule trans :premises (@p259 @p254)) % 169.36/169.67 (step @p261 :rule eq-symm :args (@t72 @t37)) % 169.36/169.67 (step @p262 :rule nary_cong :premises (@p261 @p260) :args (@t73)) % 169.36/169.67 (step @p263 :rule refl :args (@t75)) % 169.36/169.67 (step @p264 :rule cong :premises (@p263 @p262) :args (@t76)) % 169.36/169.67 (step @p265 :rule refl :args (@t79)) % 169.36/169.67 (step @p266 :rule cong :premises (@p265 @p264) :args (@t80)) % 169.36/169.67 (step @p267 :rule cong :premises (@p266) :args (@t81)) % 169.36/169.67 (step @p268 :rule trans :premises (@p267 @p239)) % 169.36/169.67 (step @p269 :rule eq_resolve :premises (@p15 @p268)) % 169.36/169.67 (step @p270 :rule bool-eq-true :args (@t267)) % 169.36/169.67 (step @p271 :rule eq-symm :args (true @t267)) % 169.36/169.67 (step @p272 :rule trans :premises (@p271 @p270)) % 169.36/169.67 (step @p273 :rule eq-symm :args (@t260 @t261)) % 169.36/169.67 (step @p274 :rule eq-symm :args (@t262 @t263)) % 169.36/169.67 (step @p275 :rule nary_cong :premises (@p274 @p273) :args (@t268)) % 169.36/169.67 (step @p276 :rule refl :args (@t264)) % 169.36/169.67 (step @p277 :rule refl :args (@t265)) % 169.36/169.67 (step @p278 :rule nary_cong :premises (@p277 @p276 @p275) :args (@t269)) % 169.36/169.67 (step @p279 :rule cong :premises (@p278) :args (@t270)) % 169.36/169.67 (step @p280 :rule eq-symm :args (@t236 @t208)) % 169.36/169.67 (step @p281 :rule nary_cong :premises (@p280 @p279) :args (@t271)) % 169.36/169.67 (step @p282 :rule eq-refl :args (@t194)) % 169.36/169.67 (step @p283 :rule cong :premises (@p282 @p281) :args (@t272)) % 169.36/169.67 (step @p284 :rule trans :premises (@p283 @p272)) % 169.36/169.67 (step @p285 :rule refl :args (@t204)) % 169.36/169.67 (step @p286 :rule refl :args (@t274)) % 169.36/169.67 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args (@t275)) % 169.36/169.67 (step @p288 :rule refl :args (@t276)) % 169.36/169.67 (step @p289 :rule cong :premises (@p288 @p287) :args ((=> @t276 @t275))) % 169.36/169.67 (assume-push @p765 @t276) % 169.36/169.67 (step @p291 :rule instantiate :premises (@p269) :args ((@list @t193 @t194))) % 169.36/169.67 (step-pop @p766 :rule scope :premises (@p291)) % 169.36/169.67 (step @p292 :rule process_scope :premises (@p766) :args (@t275)) % 169.36/169.67 (step @p294 :rule eq_resolve :premises (@p292 @p289)) % 169.36/169.67 (step @p295 :rule implies_elim :premises (@p294)) % 169.36/169.67 (step @p296 :rule chain_m_resolution :premises (@p295 @p269) :args (@t277 @t169 @t278)) % 169.36/169.67 (step @p297 :rule and_elim :premises (@p175) :args (0)) % 169.36/169.67 (step @p298 :rule instantiate :premises (@p297) :args (@t200)) % 169.36/169.67 (step @p299 :rule cnf_or_pos :args (@t277)) % 169.36/169.67 (step @p300 :rule reordering :premises (@p299) :args ((or @t274 @t204 @t267 (not @t277)))) % 169.36/169.67 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p177 @p296) :args (@t267 @t279 (@list @t273 @t203 @t277))) % 169.36/169.67 (step @p302 :rule cnf_and_pos :args (@t267 0)) % 169.36/169.67 (step @p303 :rule reordering :premises (@p302) :args ((or @t266 (not @t267)))) % 169.36/169.67 (step @p304 :rule chain_m_resolution :premises (@p303 @p301) :args (@t266 @t169 (@list @t267))) % 169.36/169.67 (step @p305 :rule refl :args (tptp.empty_set)) % 169.36/169.67 (step @p306 :rule cong :premises (@p305 @p304) :args (@t280)) % 169.36/169.67 (step @p307 :rule trans :premises (@p306 @p231)) % 169.36/169.67 (step @p308 :rule true_elim :premises (@p307)) % 169.36/169.67 (step @p309 :rule aci_norm :args ((= (or @t283 @t135) @t282))) % 169.36/169.67 (step @p310 :rule refl :args (@t135)) % 169.36/169.67 (step @p311 :rule refl :args (@t180)) % 169.36/169.67 (step @p312 :rule refl :args (@t182)) % 169.36/169.67 (step @p313 :rule refl :args (@t281)) % 169.36/169.67 (step @p314 :rule nary_cong :premises (@p131 @p313 @p130 @p312 @p311) :args (@t284)) % 169.36/169.67 (step @p315 :rule aci_norm :args ((= (or @t186 (or @t281 (or @t184 (or @t182 @t180)))) @t284))) % 169.36/169.67 (step @p316 :rule trans :premises (@p315 @p314)) % 169.36/169.67 (step @p317 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 169.36/169.67 (step @p318 :rule nary_cong :premises (@p130 @p317) :args ((or @t184 (not (and @t32 @t31))))) % 169.36/169.67 (step @p319 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31))) % 169.36/169.67 (step @p320 :rule trans :premises (@p319 @p318)) % 169.36/169.67 (step @p321 :rule nary_cong :premises (@p313 @p320) :args ((or @t281 (not (and @t33 @t32 @t31))))) % 169.36/169.67 (step @p322 :rule bool-and-de-morgan :args (@t14 @t33 (and @t32 @t31))) % 169.36/169.67 (step @p323 :rule trans :premises (@p322 @p321)) % 169.36/169.67 (step @p324 :rule refl :args (@t186)) % 169.36/169.67 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t186 (not (and @t14 @t33 @t32 @t31))))) % 169.36/169.67 (step @p326 :rule bool-and-de-morgan :args (@t18 @t14 (and @t33 @t32 @t31))) % 169.36/169.67 (step @p327 :rule trans :premises (@p326 @p325)) % 169.36/169.67 (step @p328 :rule trans :premises (@p327 @p316)) % 169.36/169.67 (step @p329 :rule nary_cong :premises (@p328 @p310) :args ((or @t285 @t135))) % 169.36/169.67 (step @p330 :rule trans :premises (@p329 @p309)) % 169.36/169.67 (step @p331 :rule bool-impl-elim :args (@t34 @t135)) % 169.36/169.67 (step @p332 :rule trans :premises (@p331 @p330)) % 169.36/169.67 (step @p333 :rule cong :premises (@p332) :args (@t136)) % 169.36/169.67 (step @p334 :rule eq_resolve :premises (@p72 @p333)) % 169.36/169.67 (step @p335 :rule eq-symm :args (@t286 @t223)) % 169.36/169.67 (step @p336 :rule refl :args (@t226)) % 169.36/169.67 (step @p337 :rule refl :args (@t287)) % 169.36/169.67 (step @p338 :rule refl :args (@t214)) % 169.36/169.67 (step @p339 :rule refl :args (@t289)) % 169.36/169.67 (step @p340 :rule refl :args (@t215)) % 169.36/169.67 (step @p341 :rule nary_cong :premises (@p340 @p339 @p338 @p337 @p336 @p335) :args (@t290)) % 169.36/169.67 (step @p342 :rule refl :args (@t291)) % 169.36/169.67 (step @p343 :rule cong :premises (@p342 @p341) :args ((=> @t291 @t290))) % 169.36/169.67 (assume-push @p767 @t291) % 169.36/169.67 (step @p345 :rule instantiate :premises (@p334) :args (@t292)) % 169.36/169.67 (step-pop @p768 :rule scope :premises (@p345)) % 169.36/169.67 (step @p346 :rule process_scope :premises (@p768) :args (@t290)) % 169.36/169.67 (step @p348 :rule eq_resolve :premises (@p346 @p343)) % 169.36/169.67 (step @p349 :rule implies_elim :premises (@p348)) % 169.36/169.67 (step @p350 :rule chain_m_resolution :premises (@p349 @p334) :args (@t294 @t169 @t295)) % 169.36/169.67 (step @p351 :rule cnf_or_pos :args (@t294)) % 169.36/169.67 (step @p352 :rule reordering :premises (@p351) :args ((or @t215 @t214 @t289 @t287 @t226 @t293 (not @t294)))) % 169.36/169.67 (step @p353 :rule eq-symm :args (@t296 @t221)) % 169.36/169.67 (step @p354 :rule nary_cong :premises (@p340 @p339 @p338 @p336 @p337 @p353) :args (@t297)) % 169.36/169.67 (step @p355 :rule cong :premises (@p342 @p354) :args ((=> @t291 @t297))) % 169.36/169.67 (assume-push @p769 @t291) % 169.36/169.67 (step @p357 :rule instantiate :premises (@p334) :args ((@list @t194 @t219 tptp.empty_set))) % 169.36/169.67 (step-pop @p770 :rule scope :premises (@p357)) % 169.36/169.67 (step @p358 :rule process_scope :premises (@p770) :args (@t297)) % 169.36/169.67 (step @p360 :rule eq_resolve :premises (@p358 @p355)) % 169.36/169.67 (step @p361 :rule implies_elim :premises (@p360)) % 169.36/169.67 (step @p362 :rule chain_m_resolution :premises (@p361 @p334) :args (@t299 @t169 @t295)) % 169.36/169.67 (step @p363 :rule cnf_or_pos :args (@t299)) % 169.36/169.67 (step @p364 :rule reordering :premises (@p363) :args ((or @t215 @t214 @t289 @t287 @t226 @t298 (not @t299)))) % 169.36/169.67 (step @p365 :rule aci_norm :args ((= @t306 @t304))) % 169.36/169.67 (step @p366 :rule cong :premises (@p365) :args (@t308)) % 169.36/169.67 (step @p367 :rule quant-merge-prenex :args ((= (forall @t10 @t310) @t308))) % 169.36/169.67 (step @p368 :rule alpha_equiv :args (@t311 (@list @t300) (@list @t22))) % 169.36/169.67 (step @p369 :rule refl :args (@t303)) % 169.36/169.67 (step @p370 :rule nary_cong :premises (@p369 @p368) :args (@t312)) % 169.36/169.67 (step @p371 :rule quant-miniscope-or :args ((= @t310 @t312))) % 169.36/169.67 (step @p372 :rule trans :premises (@p371 @p370)) % 169.36/169.67 (step @p373 :rule symm :premises (@p372)) % 169.36/169.67 (step @p374 :rule cong :premises (@p373) :args ((forall @t10 (or @t303 @t314)))) % 169.36/169.67 (step @p375 :rule trans :premises (@p374 @p367)) % 169.36/169.67 (step @p376 :rule trans :premises (@p375 @p366)) % 169.36/169.67 (step @p377 :rule bool-impl-elim :args (@t146 @t314)) % 169.36/169.67 (step @p378 :rule cong :premises (@p377) :args ((forall @t10 (=> @t146 @t314)))) % 169.36/169.67 (step @p379 :rule trans :premises (@p378 @p376)) % 169.36/169.67 (step @p380 :rule bool-impl-elim :args (@t143 @t313)) % 169.36/169.67 (step @p381 :rule cong :premises (@p380) :args ((forall @t46 (=> @t143 @t313)))) % 169.36/169.67 (step @p382 :rule eq-symm :args (@t139 @t138)) % 169.36/169.67 (step @p383 :rule eq-symm :args (@t140 @t137)) % 169.36/169.67 (step @p384 :rule nary_cong :premises (@p383 @p382) :args (@t141)) % 169.36/169.67 (step @p385 :rule refl :args (@t143)) % 169.36/169.67 (step @p386 :rule cong :premises (@p385 @p384) :args (@t144)) % 169.36/169.67 (step @p387 :rule cong :premises (@p386) :args (@t145)) % 169.36/169.67 (step @p388 :rule trans :premises (@p387 @p381)) % 169.36/169.67 (step @p389 :rule refl :args (@t146)) % 169.36/169.67 (step @p390 :rule cong :premises (@p389 @p388) :args (@t147)) % 169.36/169.67 (step @p391 :rule cong :premises (@p390) :args (@t148)) % 169.36/169.67 (step @p392 :rule trans :premises (@p391 @p379)) % 169.36/169.67 (step @p393 :rule eq_resolve :premises (@p78 @p392)) % 169.36/169.67 (step @p394 :rule eq-symm :args (@t315 @t221)) % 169.36/169.67 (step @p395 :rule refl :args (@t316)) % 169.36/169.67 (step @p396 :rule nary_cong :premises (@p395 @p394) :args (@t317)) % 169.36/169.67 (step @p397 :rule nary_cong :premises (@p336 @p337 @p396) :args (@t318)) % 169.36/169.67 (step @p398 :rule refl :args (@t319)) % 169.36/169.67 (step @p399 :rule cong :premises (@p398 @p397) :args ((=> @t319 @t318))) % 169.36/169.67 (assume-push @p771 @t319) % 169.36/169.67 (step @p401 :rule instantiate :premises (@p393) :args ((@list @t193 @t219 tptp.empty_set))) % 169.36/169.67 (step-pop @p772 :rule scope :premises (@p401)) % 169.36/169.67 (step @p402 :rule process_scope :premises (@p772) :args (@t318)) % 169.36/169.67 (step @p404 :rule eq_resolve :premises (@p402 @p399)) % 169.36/169.67 (step @p405 :rule implies_elim :premises (@p404)) % 169.36/169.67 (step @p406 :rule chain_m_resolution :premises (@p405 @p393) :args (@t322 @t169 @t323)) % 169.36/169.67 (step @p407 :rule cnf_or_pos :args (@t322)) % 169.36/169.67 (step @p408 :rule reordering :premises (@p407) :args ((or @t287 @t226 @t321 (not @t322)))) % 169.36/169.67 (step @p409 :rule aci_norm :args ((= (or @t283 @t30) (or @t17 @t281 @t184 @t182 @t180 @t30)))) % 169.36/169.67 (step @p410 :rule refl :args (@t30)) % 169.36/169.67 (step @p411 :rule nary_cong :premises (@p328 @p410) :args ((or @t285 @t30))) % 169.36/169.67 (step @p412 :rule trans :premises (@p411 @p409)) % 169.36/169.67 (step @p413 :rule bool-impl-elim :args (@t34 @t30)) % 169.36/169.67 (step @p414 :rule trans :premises (@p413 @p412)) % 169.36/169.67 (step @p415 :rule cong :premises (@p414) :args (@t35)) % 169.36/169.67 (step @p416 :rule eq_resolve :premises (@p9 @p415)) % 169.36/169.67 (step @p417 :rule instantiate :premises (@p416) :args (@t292)) % 169.36/169.67 (step @p418 :rule cnf_or_pos :args (@t325)) % 169.36/169.67 (step @p419 :rule reordering :premises (@p418) :args ((or @t215 @t214 @t289 @t287 @t226 @t324 (not @t325)))) % 169.36/169.67 (step @p420 :rule cnf_and_pos :args (@t321 1)) % 169.36/169.67 (step @p421 :rule reordering :premises (@p420) :args ((or @t320 (not @t321)))) % 169.36/169.67 (step @p422 :rule instantiate :premises (@p126) :args ((@list @t219))) % 169.36/169.67 (assume-push @p773 @t293) % 169.36/169.67 (assume-push @p774 @t298) % 169.36/169.67 (assume-push @p775 @t320) % 169.36/169.67 (assume-push @p776 @t326) % 169.36/169.67 (assume-push @p777 @t324) % 169.36/169.67 (assume-push @p778 @t293) % 169.36/169.67 (assume-push @p779 @t324) % 169.36/169.67 (assume-push @p780 @t298) % 169.36/169.67 (assume-push @p781 @t320) % 169.36/169.67 (assume-push @p782 @t326) % 169.36/169.67 (step @p433 :rule symm :premises (@p773)) % 169.36/169.67 (step @p434 :rule symm :premises (@p777)) % 169.36/169.67 (step @p435 :rule symm :premises (@p775)) % 169.36/169.67 (step @p436 :rule trans :premises (@p422 @p435 @p774 @p434 @p433)) % 169.36/169.67 (step-pop @p783 :rule scope :premises (@p436)) % 169.36/169.67 (step-pop @p784 :rule scope :premises (@p783)) % 169.36/169.67 (step-pop @p785 :rule scope :premises (@p784)) % 169.36/169.67 (step-pop @p786 :rule scope :premises (@p785)) % 169.36/169.67 (step-pop @p787 :rule scope :premises (@p786)) % 169.36/169.67 (step @p437 :rule process_scope :premises (@p787) :args (@t224)) % 169.36/169.67 (step @p443 :rule and_intro :premises (@p773 @p777 @p774 @p775 @p422)) % 169.36/169.67 (step @p444 :rule modus_ponens :premises (@p443 @p437)) % 169.36/169.67 (step-pop @p788 :rule scope :premises (@p444)) % 169.36/169.67 (step-pop @p789 :rule scope :premises (@p788)) % 169.36/169.67 (step-pop @p790 :rule scope :premises (@p789)) % 169.36/169.67 (step-pop @p791 :rule scope :premises (@p790)) % 169.36/169.67 (step-pop @p792 :rule scope :premises (@p791)) % 169.36/169.67 (step @p445 :rule process_scope :premises (@p792) :args (@t224)) % 169.36/169.67 (step @p451 :rule implies_elim :premises (@p445)) % 169.36/169.67 (step @p452 :rule cnf_and_neg :args (@t327)) % 169.36/169.67 (step @p453 :rule resolution :premises (@p452 @p451) :args (true @t327)) % 169.36/169.67 (step @p454 :rule reordering :premises (@p453) :args ((or @t224 (not @t293) (not @t298) @t329 @t328 (not @t324)))) % 169.36/169.67 (assume-push @p793 @t320) % 169.36/169.67 (assume-push @p794 @t326) % 169.36/169.67 (assume-push @p795 @t320) % 169.36/169.67 (assume-push @p796 @t326) % 169.36/169.67 (step @p459 :rule symm :premises (@p793)) % 169.36/169.67 (step @p460 :rule trans :premises (@p422 @p459)) % 169.36/169.67 (step-pop @p797 :rule scope :premises (@p460)) % 169.36/169.67 (step-pop @p798 :rule scope :premises (@p797)) % 169.36/169.67 (step @p461 :rule process_scope :premises (@p798) :args (@t222)) % 169.36/169.67 (step @p464 :rule and_intro :premises (@p793 @p422)) % 169.36/169.67 (step @p465 :rule modus_ponens :premises (@p464 @p461)) % 169.36/169.67 (step-pop @p799 :rule scope :premises (@p465)) % 169.36/169.67 (step-pop @p800 :rule scope :premises (@p799)) % 169.36/169.67 (step @p466 :rule process_scope :premises (@p800) :args (@t222)) % 169.36/169.67 (step @p469 :rule implies_elim :premises (@p466)) % 169.36/169.67 (step @p470 :rule cnf_and_neg :args (@t330)) % 169.36/169.67 (step @p471 :rule resolution :premises (@p470 @p469) :args (true @t330)) % 169.36/169.67 (step @p472 :rule reordering :premises (@p471) :args ((or @t222 @t329 @t328))) % 169.36/169.67 (step @p473 :rule cnf_and_neg :args (@t225)) % 169.36/169.67 (step @p474 :rule chain_m_resolution :premises (@p473 @p472 @p422 @p454 @p422 @p421 @p419 @p417 @p308 @p183 @p216 @p191 @p408 @p406 @p308 @p364 @p362 @p308 @p183 @p216 @p191 @p352 @p350 @p308 @p183 @p216 @p191 @p201 @p200) :args (@t227 (@list false false false false false false false false false false true false false false false false false false false true false false false false false true true false) (@list @t222 @t326 @t224 @t326 @t320 @t324 @t325 @t280 @t201 @t288 @t215 @t321 @t322 @t280 @t298 @t299 @t280 @t201 @t288 @t215 @t293 @t294 @t280 @t201 @t288 @t215 @t225 @t220))) % 169.36/169.67 (step @p475 :rule refl :args (@t331)) % 169.36/169.67 (step @p476 :rule bool-double-not-elim :args (@t218)) % 169.36/169.67 (step @p477 :rule nary_cong :premises (@p476 @p475) :args ((or (not @t332) @t331))) % 169.36/169.67 (assume-push @p801 @t332) % 169.36/169.67 (step @p479 :rule skolemize :premises (@p801)) % 169.36/169.67 (step-pop @p802 :rule scope :premises (@p479)) % 169.36/169.67 (step @p480 :rule process_scope :premises (@p802) :args (@t331)) % 169.36/169.67 (step @p482 :rule implies_elim :premises (@p480)) % 169.36/169.67 (step @p483 :rule eq_resolve :premises (@p482 @p477)) % 169.36/169.67 (step @p484 :rule chain_m_resolution :premises (@p483 @p474) :args (@t218 @t169 (@list @t227))) % 169.36/169.67 (step @p485 :rule cnf_or_pos :args (@t333)) % 169.36/169.67 (step @p486 :rule reordering :premises (@p485) :args ((or @t287 @t332 @t334))) % 169.36/169.67 (step @p487 :rule chain_m_resolution :premises (@p486 @p308 @p484) :args (@t334 @t173 (@list @t280 @t218))) % 169.36/169.67 (assume-push @p803 @t210) % 169.36/169.67 (step @p489 :rule instantiate :premises (@p803) :args (@t335)) % 169.36/169.67 (step-pop @p804 :rule scope :premises (@p489)) % 169.36/169.67 (step @p490 :rule process_scope :premises (@p804) :args (@t333)) % 169.36/169.67 (step @p492 :rule implies_elim :premises (@p490)) % 169.36/169.67 (step @p493 :rule chain_m_resolution :premises (@p492 @p487) :args (@t211 @t172 (@list @t333))) % 169.36/169.67 (step @p494 :rule bool-double-not-elim :args (@t210)) % 169.36/169.67 (step @p495 :rule refl :args (@t212)) % 169.36/169.67 (step @p496 :rule refl :args (@t336)) % 169.36/169.67 (step @p497 :rule nary_cong :premises (@p496 @p495 @p494) :args ((or @t336 @t212 (not @t211)))) % 169.36/169.67 (step @p498 :rule cnf_equiv_pos2 :args (@t213)) % 169.36/169.67 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 169.36/169.67 (step @p500 :rule reordering :premises (@p499) :args ((or @t212 @t210 @t336))) % 169.36/169.67 (step @p501 :rule chain_m_resolution :premises (@p500 @p493 @p194) :args (@t212 (@list true false) (@list @t210 @t213))) % 169.36/169.67 (step @p502 :rule refl :args (@t337)) % 169.36/169.67 (step @p503 :rule bool-double-not-elim :args (@t192)) % 169.36/169.67 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or (not @t338) @t337))) % 169.36/169.67 (assume-push @p805 @t338) % 169.36/169.67 (step @p506 :rule skolemize :premises (@p805)) % 169.36/169.67 (step-pop @p806 :rule scope :premises (@p506)) % 169.36/169.67 (step @p507 :rule process_scope :premises (@p806) :args (@t337)) % 169.36/169.67 (step @p509 :rule implies_elim :premises (@p507)) % 169.36/169.67 (step @p510 :rule eq_resolve :premises (@p509 @p504)) % 169.36/169.67 (step @p511 :rule chain_m_resolution :premises (@p510 @p501) :args (@t192 @t169 (@list @t212))) % 169.36/169.67 (step @p512 :rule alpha_equiv :args (@t340 @t197 (@list @t174))) % 169.36/169.67 (step @p513 :rule alpha_equiv :args (@t341 @t197 (@list @t191))) % 169.36/169.67 (step @p514 :rule nary_cong :premises (@p513 @p512) :args (@t342)) % 169.36/169.67 (step @p515 :rule quant-miniscope-and :args ((= (forall @t7 (and @t153 @t339)) @t342))) % 169.36/169.67 (step @p516 :rule trans :premises (@p515 @p514)) % 169.36/169.67 (step @p517 :rule eq-symm :args (@t152 tptp.empty_set)) % 169.36/169.67 (step @p518 :rule refl :args (@t153)) % 169.36/169.67 (step @p519 :rule nary_cong :premises (@p518 @p517) :args (@t154)) % 169.36/169.67 (step @p520 :rule cong :premises (@p519) :args (@t155)) % 169.36/169.67 (step @p521 :rule trans :premises (@p520 @p516)) % 169.36/169.67 (step @p522 :rule cong :premises (@p521) :args (@t156)) % 169.36/169.67 (step @p523 :rule eq_resolve :premises (@p83 @p522)) % 169.36/169.67 (step @p524 :rule not_and :premises (@p523)) % 169.36/169.67 (step @p525 :rule chain_m_resolution :premises (@p524 @p511) :args (@t343 @t169 @t344)) % 169.36/169.67 (step @p526 :rule refl :args (@t346)) % 169.36/169.67 (step @p527 :rule bool-double-not-elim :args (@t175)) % 169.36/169.67 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or (not @t343) @t346))) % 169.36/169.67 (assume-push @p807 @t343) % 169.36/169.67 (step @p530 :rule skolemize :premises (@p807)) % 169.36/169.67 (step-pop @p808 :rule scope :premises (@p530)) % 169.36/169.67 (step @p531 :rule process_scope :premises (@p808) :args (@t346)) % 169.36/169.67 (step @p533 :rule implies_elim :premises (@p531)) % 169.36/169.67 (step @p534 :rule eq_resolve :premises (@p533 @p528)) % 169.36/169.67 (step @p535 :rule chain_m_resolution :premises (@p534 @p525) :args (@t346 @t172 (@list @t175))) % 169.36/169.67 (step @p536 :rule eq-symm :args (@t348 @t349)) % 169.36/169.67 (step @p537 :rule refl :args (@t349)) % 169.36/169.67 (step @p538 :rule eq-symm :args (@t347 @t56)) % 169.36/169.67 (step @p539 :rule cong :premises (@p538 @p537) :args (@t350)) % 169.36/169.67 (step @p540 :rule trans :premises (@p539 @p536)) % 169.36/169.67 (step @p541 :rule refl :args (@t351)) % 169.36/169.67 (step @p542 :rule refl :args (@t352)) % 169.36/169.67 (step @p543 :rule refl :args (@t184)) % 169.36/169.67 (step @p544 :rule refl :args (@t17)) % 169.36/169.67 (step @p545 :rule nary_cong :premises (@p544 @p543 @p542 @p541 @p540) :args (@t353)) % 169.36/169.67 (step @p546 :rule aci_norm :args ((= @t355 @t353))) % 169.36/169.67 (step @p547 :rule trans :premises (@p546 @p545)) % 169.36/169.67 (step @p548 :rule cong :premises (@p547) :args (@t357)) % 169.36/169.67 (step @p549 :rule quant-merge-prenex :args ((= (forall @t7 @t359) @t357))) % 169.36/169.67 (step @p550 :rule alpha_equiv :args (@t360 (@list @t347) (@list @t8))) % 169.36/169.67 (step @p551 :rule refl :args (@t352)) % 169.36/169.67 (step @p552 :rule refl :args (@t17)) % 169.36/169.67 (step @p553 :rule nary_cong :premises (@p552 @p130 @p551 @p550) :args (@t361)) % 169.36/169.67 (step @p554 :rule quant-miniscope-or :args ((= @t359 @t361))) % 169.36/169.67 (step @p555 :rule trans :premises (@p554 @p553)) % 169.36/169.67 (step @p556 :rule symm :premises (@p555)) % 169.36/169.67 (step @p557 :rule cong :premises (@p556) :args ((forall @t7 @t364))) % 169.36/169.67 (step @p558 :rule trans :premises (@p557 @p549)) % 169.36/169.67 (step @p559 :rule trans :premises (@p558 @p548)) % 169.36/169.67 (step @p560 :rule aci_norm :args ((= (or @t185 (or @t352 @t363)) @t364))) % 169.36/169.67 (step @p561 :rule bool-impl-elim :args (@t51 @t363)) % 169.36/169.67 (step @p562 :rule nary_cong :premises (@p134 @p561) :args ((or @t187 @t365))) % 169.36/169.67 (step @p563 :rule trans :premises (@p562 @p560)) % 169.36/169.67 (step @p564 :rule bool-impl-elim :args (@t53 @t365)) % 169.36/169.67 (step @p565 :rule trans :premises (@p564 @p563)) % 169.36/169.67 (step @p566 :rule cong :premises (@p565) :args ((forall @t7 (=> @t53 @t365)))) % 169.36/169.67 (step @p567 :rule trans :premises (@p566 @p559)) % 169.36/169.67 (step @p568 :rule bool-impl-elim :args (@t32 @t362)) % 169.36/169.67 (step @p569 :rule cong :premises (@p568) :args ((forall @t49 (=> @t32 @t362)))) % 169.36/169.67 (step @p570 :rule eq-symm :args (@t181 @t57)) % 169.36/169.67 (step @p571 :rule refl :args (@t57)) % 169.36/169.67 (step @p572 :rule cong :premises (@p153 @p571) :args ((= @t47 @t57))) % 169.36/169.67 (step @p573 :rule trans :premises (@p572 @p570)) % 169.36/169.67 (step @p574 :rule eq-symm :args (@t57 @t47)) % 169.36/169.67 (step @p575 :rule trans :premises (@p574 @p573)) % 169.36/169.67 (step @p576 :rule cong :premises (@p154 @p575) :args (@t58)) % 169.36/169.67 (step @p577 :rule cong :premises (@p576) :args (@t59)) % 169.36/169.67 (step @p578 :rule trans :premises (@p577 @p569)) % 169.36/169.67 (step @p579 :rule cong :premises (@p158 @p578) :args (@t60)) % 169.36/169.67 (step @p580 :rule cong :premises (@p160 @p579) :args (@t61)) % 169.36/169.67 (step @p581 :rule cong :premises (@p580) :args (@t62)) % 169.36/169.67 (step @p582 :rule trans :premises (@p581 @p567)) % 169.36/169.67 (step @p583 :rule eq_resolve :premises (@p13 @p582)) % 169.36/169.67 (step @p584 :rule bool-eq-true :args (@t367)) % 169.36/169.67 (step @p585 :rule eq-refl :args (@t178)) % 169.36/169.67 (step @p586 :rule refl :args (@t367)) % 169.36/169.67 (step @p587 :rule cong :premises (@p586 @p585) :args (@t368)) % 169.36/169.67 (step @p588 :rule trans :premises (@p587 @p584)) % 169.36/169.67 (step @p589 :rule refl :args (@t370)) % 169.36/169.67 (step @p590 :rule refl :args (@t372)) % 169.36/169.67 (step @p591 :rule refl :args (@t374)) % 169.36/169.67 (step @p592 :rule refl :args (@t375)) % 169.36/169.67 (step @p593 :rule nary_cong :premises (@p592 @p591 @p590 @p589 @p588) :args (@t376)) % 169.36/169.67 (step @p594 :rule refl :args (@t377)) % 169.36/169.67 (step @p595 :rule cong :premises (@p594 @p593) :args ((=> @t377 @t376))) % 169.36/169.67 (assume-push @p809 @t377) % 169.36/169.67 (step @p597 :rule instantiate :premises (@p583) :args ((@list @t177 @t178))) % 169.36/169.67 (step-pop @p810 :rule scope :premises (@p597)) % 169.36/169.67 (step @p598 :rule process_scope :premises (@p810) :args (@t376)) % 169.36/169.67 (step @p600 :rule eq_resolve :premises (@p598 @p595)) % 169.36/169.67 (step @p601 :rule implies_elim :premises (@p600)) % 169.36/169.67 (step @p602 :rule chain_m_resolution :premises (@p601 @p583) :args (@t378 @t169 (@list @t377))) % 169.36/169.67 (assume-push @p811 @t192) % 169.36/169.67 (step @p604 :rule instantiate :premises (@p811) :args (@t379)) % 169.36/169.67 (step-pop @p812 :rule scope :premises (@p604)) % 169.36/169.67 (step @p605 :rule process_scope :premises (@p812) :args (@t371)) % 169.36/169.67 (step @p607 :rule implies_elim :premises (@p605)) % 169.36/169.67 (step @p608 :rule chain_m_resolution :premises (@p607 @p511) :args (@t371 @t169 @t344)) % 169.36/169.67 (step @p609 :rule aci_norm :args ((= (or @t185 @t107) (or @t17 @t184 @t107)))) % 169.36/169.67 (step @p610 :rule refl :args (@t107)) % 169.36/169.67 (step @p611 :rule nary_cong :premises (@p134 @p610) :args ((or @t187 @t107))) % 169.36/169.67 (step @p612 :rule trans :premises (@p611 @p609)) % 169.36/169.67 (step @p613 :rule bool-impl-elim :args (@t53 @t107)) % 169.36/169.67 (step @p614 :rule trans :premises (@p613 @p612)) % 169.36/169.67 (step @p615 :rule cong :premises (@p614) :args (@t108)) % 169.36/169.67 (step @p616 :rule eq_resolve :premises (@p27 @p615)) % 169.36/169.67 (step @p617 :rule instantiate :premises (@p616) :args (@t380)) % 169.36/169.67 (step @p618 :rule instantiate :premises (@p168) :args (@t380)) % 169.36/169.67 (step @p619 :rule instantiate :premises (@p176) :args (@t379)) % 169.36/169.67 (step @p620 :rule cnf_or_pos :args (@t384)) % 169.36/169.67 (step @p621 :rule reordering :premises (@p620) :args ((or @t383 @t381 (not @t384)))) % 169.36/169.67 (step @p622 :rule chain_m_resolution :premises (@p621 @p619 @p618) :args (@t381 @t173 (@list @t382 @t384))) % 169.36/169.67 (step @p623 :rule cnf_and_pos :args (@t381 0)) % 169.36/169.67 (step @p624 :rule reordering :premises (@p623) :args ((or @t373 (not @t381)))) % 169.36/169.67 (step @p625 :rule chain_m_resolution :premises (@p624 @p622) :args (@t373 @t169 (@list @t381))) % 169.36/169.67 (step @p626 :rule instantiate :premises (@p190) :args (@t379)) % 169.36/169.67 (step @p627 :rule cnf_or_pos :args (@t385)) % 169.36/169.67 (step @p628 :rule reordering :premises (@p627) :args ((or @t375 @t374 @t369 (not @t385)))) % 169.36/169.67 (step @p629 :rule chain_m_resolution :premises (@p628 @p626 @p625 @p617) :args (@t369 @t217 (@list @t375 @t373 @t385))) % 169.36/169.67 (step @p630 :rule cnf_or_pos :args (@t378)) % 169.36/169.67 (step @p631 :rule reordering :premises (@p630) :args ((or @t375 @t374 @t370 @t372 @t367 (not @t378)))) % 169.36/169.67 (step @p632 :rule chain_m_resolution :premises (@p631 @p626 @p625 @p629 @p608 @p602) :args (@t367 (@list true false false false false) (@list @t375 @t373 @t369 @t371 @t378))) % 169.36/169.67 (assume-push @p813 @t367) % 169.36/169.67 (step @p634 :rule instantiate :premises (@p813) :args (@t335)) % 169.36/169.67 (step-pop @p814 :rule scope :premises (@p634)) % 169.36/169.67 (step @p635 :rule process_scope :premises (@p814) :args (@t391)) % 169.36/169.67 (step @p637 :rule implies_elim :premises (@p635)) % 169.36/169.67 (step @p638 :rule chain_m_resolution :premises (@p637 @p632) :args (@t391 @t169 (@list @t367))) % 169.36/169.67 (step @p639 :rule eq-symm :args (@t393 @t394)) % 169.36/169.67 (step @p640 :rule cong :premises (@p218 @p639) :args ((=> @t157 @t395))) % 169.36/169.67 (assume-push @p815 @t157) % 169.36/169.67 (step @p642 :rule instantiate :premises (@p84) :args ((@list tptp.empty_set @t176))) % 169.36/169.67 (step-pop @p816 :rule scope :premises (@p642)) % 169.36/169.67 (step @p643 :rule process_scope :premises (@p816) :args (@t395)) % 169.36/169.67 (step @p645 :rule eq_resolve :premises (@p643 @p640)) % 169.36/169.67 (step @p646 :rule implies_elim :premises (@p645)) % 169.36/169.67 (step @p647 :rule chain_m_resolution :premises (@p646 @p84) :args (@t396 @t169 @t241)) % 169.36/169.67 (step @p648 :rule instantiate :premises (@p82) :args (@t379)) % 169.36/169.67 (step @p649 :rule cnf_equiv_pos1 :args (@t396)) % 169.36/169.67 (step @p650 :rule reordering :premises (@p649) :args ((or @t393 (not @t394) (not @t396)))) % 169.36/169.67 (step @p651 :rule chain_m_resolution :premises (@p650 @p648 @p647) :args (@t393 @t173 (@list @t394 @t396))) % 169.36/169.67 (step @p652 :rule true_intro :premises (@p651)) % 169.36/169.67 (step @p653 :rule bool-eq-true :args (@t404)) % 169.36/169.67 (step @p654 :rule eq-symm :args (true @t404)) % 169.36/169.67 (step @p655 :rule trans :premises (@p654 @p653)) % 169.36/169.67 (step @p656 :rule eq-symm :args (@t397 @t398)) % 169.36/169.67 (step @p657 :rule eq-symm :args (@t399 @t400)) % 169.36/169.67 (step @p658 :rule nary_cong :premises (@p657 @p656) :args (@t405)) % 169.36/169.67 (step @p659 :rule refl :args (@t401)) % 169.36/169.67 (step @p660 :rule refl :args (@t402)) % 169.36/169.67 (step @p661 :rule nary_cong :premises (@p660 @p659 @p658) :args (@t406)) % 169.36/169.67 (step @p662 :rule cong :premises (@p661) :args (@t407)) % 169.36/169.67 (step @p663 :rule refl :args (@t403)) % 169.36/169.67 (step @p664 :rule nary_cong :premises (@p663 @p662) :args (@t408)) % 169.36/169.67 (step @p665 :rule eq-refl :args (@t177)) % 169.36/169.67 (step @p666 :rule cong :premises (@p665 @p664) :args (@t409)) % 169.36/169.67 (step @p667 :rule trans :premises (@p666 @p655)) % 169.36/169.67 (step @p668 :rule refl :args (@t383)) % 169.36/169.67 (step @p669 :rule refl :args (@t411)) % 169.36/169.67 (step @p670 :rule nary_cong :premises (@p669 @p668 @p667) :args (@t412)) % 169.36/169.67 (step @p671 :rule cong :premises (@p288 @p670) :args ((=> @t276 @t412))) % 169.36/169.67 (assume-push @p817 @t276) % 169.36/169.67 (step @p673 :rule instantiate :premises (@p269) :args ((@list @t176 @t177))) % 169.36/169.67 (step-pop @p818 :rule scope :premises (@p673)) % 169.36/169.67 (step @p674 :rule process_scope :premises (@p818) :args (@t412)) % 169.36/169.67 (step @p676 :rule eq_resolve :premises (@p674 @p671)) % 169.36/169.67 (step @p677 :rule implies_elim :premises (@p676)) % 169.36/169.67 (step @p678 :rule chain_m_resolution :premises (@p677 @p269) :args (@t413 @t169 @t278)) % 169.36/169.67 (step @p679 :rule instantiate :premises (@p297) :args (@t379)) % 169.36/169.67 (step @p680 :rule cnf_or_pos :args (@t413)) % 169.36/169.67 (step @p681 :rule reordering :premises (@p680) :args ((or @t411 @t383 @t404 (not @t413)))) % 169.36/169.67 (step @p682 :rule chain_m_resolution :premises (@p681 @p679 @p619 @p678) :args (@t404 @t279 (@list @t410 @t382 @t413))) % 169.36/169.67 (step @p683 :rule cnf_and_pos :args (@t404 0)) % 169.36/169.67 (step @p684 :rule reordering :premises (@p683) :args ((or @t403 (not @t404)))) % 169.36/169.67 (step @p685 :rule chain_m_resolution :premises (@p684 @p682) :args (@t403 @t169 (@list @t404))) % 169.36/169.67 (step @p686 :rule symm :premises (@p685)) % 169.36/169.67 (step @p687 :rule cong :premises (@p305 @p686) :args (@t389)) % 169.36/169.67 (step @p688 :rule trans :premises (@p687 @p652)) % 169.36/169.67 (step @p689 :rule true_elim :premises (@p688)) % 169.36/169.67 (step @p690 :rule cnf_or_pos :args (@t391)) % 169.36/169.67 (step @p691 :rule reordering :premises (@p690) :args ((or @t390 @t388 (not @t391)))) % 169.36/169.67 (step @p692 :rule chain_m_resolution :premises (@p691 @p689 @p638) :args (@t388 @t173 (@list @t389 @t391))) % 169.36/169.67 (step @p693 :rule cnf_and_pos :args (@t388 0)) % 169.36/169.67 (step @p694 :rule reordering :premises (@p693) :args ((or @t387 (not @t388)))) % 169.36/169.67 (step @p695 :rule chain_m_resolution :premises (@p694 @p692) :args (@t387 @t169 (@list @t388))) % 169.36/169.67 (step @p696 :rule eq-symm :args (@t414 @t386)) % 169.36/169.67 (step @p697 :rule refl :args (@t415)) % 169.36/169.67 (step @p698 :rule nary_cong :premises (@p697 @p696) :args (@t416)) % 169.36/169.67 (step @p699 :rule refl :args (@t390)) % 169.36/169.67 (step @p700 :rule nary_cong :premises (@p589 @p699 @p698) :args (@t417)) % 169.36/169.67 (step @p701 :rule cong :premises (@p398 @p700) :args ((=> @t319 @t417))) % 169.36/169.67 (assume-push @p819 @t319) % 169.36/169.67 (step @p703 :rule instantiate :premises (@p393) :args ((@list @t176 @t178 tptp.empty_set))) % 169.36/169.67 (step-pop @p820 :rule scope :premises (@p703)) % 169.36/169.67 (step @p704 :rule process_scope :premises (@p820) :args (@t417)) % 169.36/169.67 (step @p706 :rule eq_resolve :premises (@p704 @p701)) % 169.36/169.67 (step @p707 :rule implies_elim :premises (@p706)) % 169.36/169.67 (step @p708 :rule chain_m_resolution :premises (@p707 @p393) :args (@t420 @t169 @t323)) % 169.36/169.67 (step @p709 :rule cnf_or_pos :args (@t420)) % 169.36/169.67 (step @p710 :rule reordering :premises (@p709) :args ((or @t370 @t390 @t419 (not @t420)))) % 169.36/169.67 (step @p711 :rule chain_m_resolution :premises (@p710 @p629 @p689 @p708) :args (@t419 @t279 (@list @t369 @t389 @t420))) % 169.36/169.67 (step @p712 :rule cnf_and_pos :args (@t419 1)) % 169.36/169.67 (step @p713 :rule reordering :premises (@p712) :args ((or @t418 (not @t419)))) % 169.36/169.67 (step @p714 :rule chain_m_resolution :premises (@p713 @p711) :args (@t418 @t169 (@list @t419))) % 169.36/169.67 (step @p715 :rule refl :args (@t421)) % 169.36/169.67 (step @p716 :rule refl :args (@t423)) % 169.36/169.67 (step @p717 :rule refl :args (@t424)) % 169.36/169.67 (step @p718 :rule refl :args (@t425)) % 169.36/169.67 (step @p719 :rule bool-double-not-elim :args (@t345)) % 169.36/169.67 (step @p720 :rule nary_cong :premises (@p719 @p718 @p717 @p716 @p715) :args ((or (not @t346) @t425 @t424 @t423 @t421))) % 169.36/169.67 (assume-push @p821 @t167) % 169.36/169.67 (assume-push @p822 @t422) % 169.36/169.67 (assume-push @p823 @t418) % 169.36/169.67 (assume-push @p824 @t387) % 169.36/169.67 (assume-push @p825 @t346) % 169.36/169.67 (step @p726 :rule evaluate :args ((= false true))) % 169.36/169.67 (step @p727 :rule symm :premises (@p127)) % 169.36/169.67 (step @p728 :rule trans :premises (@p824 @p714 @p727 @p123)) % 169.36/169.67 (step @p729 :rule symm :premises (@p728)) % 169.36/169.67 (step @p730 :rule trans :premises (@p123 @p729)) % 169.36/169.67 (step @p731 :rule true_intro :premises (@p730)) % 169.36/169.67 (step @p732 :rule false_intro :premises (@p825)) % 169.36/169.67 (step @p733 :rule symm :premises (@p732)) % 169.36/169.67 (step @p734 :rule trans :premises (@p733 @p731)) % 169.36/169.67 (step @p735 false :rule eq_resolve :premises (@p734 @p726)) % 169.36/169.67 (step-pop @p826 :rule scope :premises (@p735)) % 169.36/169.67 (step-pop @p827 :rule scope :premises (@p826)) % 169.36/169.67 (step-pop @p828 :rule scope :premises (@p827)) % 169.36/169.67 (step-pop @p829 :rule scope :premises (@p828)) % 169.36/169.67 (step-pop @p830 :rule scope :premises (@p829)) % 169.36/169.67 (step @p736 :rule process_scope :premises (@p830) :args (false)) % 169.36/169.67 (assume-push @p831 @t346) % 169.36/169.67 (assume-push @p832 @t167) % 169.36/169.67 (assume-push @p833 @t387) % 169.36/169.67 (assume-push @p834 @t422) % 169.36/169.67 (assume-push @p835 @t418) % 169.36/169.67 (step @p747 :rule and_intro :premises (@p123 @p127 @p714 @p833 @p831)) % 169.36/169.67 (step-pop @p836 :rule scope :premises (@p747)) % 169.36/169.67 (step-pop @p837 :rule scope :premises (@p836)) % 169.36/169.67 (step-pop @p838 :rule scope :premises (@p837)) % 169.36/169.67 (step-pop @p839 :rule scope :premises (@p838)) % 169.36/169.67 (step-pop @p840 :rule scope :premises (@p839)) % 169.36/169.67 (step @p748 :rule process_scope :premises (@p840) :args (@t426)) % 169.36/169.67 (step @p754 :rule implies_elim :premises (@p748)) % 169.36/169.67 (step @p755 :rule resolution :premises (@p754 @p736) :args (true @t426)) % 169.36/169.67 (step @p756 :rule not_and :premises (@p755)) % 169.36/169.67 (step @p757 :rule eq_resolve :premises (@p756 @p720)) % 169.36/169.67 (step @p758 false :rule chain_m_resolution :premises (@p757 @p714 @p695 @p535 @p127 @p123) :args (false (@list false false true false false) (@list @t418 @t387 @t345 @t422 @t167))) % 169.36/169.67 ) % 169.36/169.67 % SZS output end Proof % 169.36/169.67 % cvc5 exiting %------------------------------------------------------------------------------