%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT298+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:30:11 AM UTC 2026 % Result : Theorem 34.17s 34.49s % Output : Proof 34.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT298+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 01:15:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 34.17/34.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.17/34.49 --- Run --no-e-matching --full-saturate-quant at 6... % 34.17/34.49 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.17/34.49 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.17/34.49 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.17/34.49 % SZS status Theorem % 34.17/34.49 % SZS output start Proof % 34.17/34.49 ( % 34.17/34.49 (declare-sort $$unsorted 0) % 34.17/34.49 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.17/34.49 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 34.17/34.49 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.49 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 34.17/34.49 (define @t1 () (@var "B" $$unsorted)) % 34.17/34.49 (define @t2 () (@var "C" $$unsorted)) % 34.17/34.49 (define @t3 () (tptp.m1_filter_2 @t2 @t1)) % 34.17/34.49 (define @t4 () (@var "A" $$unsorted)) % 34.17/34.49 (define @t5 () (tptp.m1_filter_2 @t2 @t4)) % 34.17/34.49 (define @t6 () (@list @t2)) % 34.17/34.49 (define @t7 () (forall @t6 (=> @t5 @t3))) % 34.17/34.49 (define @t8 () (tptp.u1_lattices @t4)) % 34.17/34.49 (define @t9 () (tptp.u2_lattices @t4)) % 34.17/34.49 (define @t10 () (tptp.u1_struct_0 @t4)) % 34.17/34.49 (define @t11 () (tptp.g3_lattices @t10 @t9 @t8)) % 34.17/34.49 (define @t12 () (= @t11 (tptp.g3_lattices (tptp.u1_struct_0 @t1) (tptp.u2_lattices @t1) (tptp.u1_lattices @t1)))) % 34.17/34.49 (define @t13 () (=> @t12 @t7)) % 34.17/34.49 (define @t14 () (tptp.l3_lattices @t1)) % 34.17/34.49 (define @t15 () (tptp.v10_lattices @t1)) % 34.17/34.49 (define @t16 () (tptp.v3_struct_0 @t1)) % 34.17/34.49 (define @t17 () (not @t16)) % 34.17/34.49 (define @t18 () (and @t17 @t15 @t14)) % 34.17/34.49 (define @t19 () (=> @t18 @t13)) % 34.17/34.49 (define @t20 () (@list @t1)) % 34.17/34.49 (define @t21 () (forall @t20 @t19)) % 34.17/34.49 (define @t22 () (tptp.l3_lattices @t4)) % 34.17/34.49 (define @t23 () (tptp.v10_lattices @t4)) % 34.17/34.49 (define @t24 () (tptp.v3_struct_0 @t4)) % 34.17/34.49 (define @t25 () (not @t24)) % 34.17/34.49 (define @t26 () (and @t25 @t23 @t22)) % 34.17/34.49 (define @t27 () (=> @t26 @t21)) % 34.17/34.49 (define @t28 () (@list @t4)) % 34.17/34.49 (define @t29 () (forall @t28 @t27)) % 34.17/34.49 (define @t30 () (not @t29)) % 34.17/34.49 (define @t31 () (tptp.v3_lattices @t4)) % 34.17/34.49 (define @t32 () (tptp.r2_hidden @t4 @t1)) % 34.17/34.49 (define @t33 () (@list @t4 @t1)) % 34.17/34.49 (define @t34 () (tptp.v1_funct_1 @t4)) % 34.17/34.49 (define @t35 () (tptp.v1_xboole_0 @t4)) % 34.17/34.49 (define @t36 () (tptp.v9_lattices @t4)) % 34.17/34.49 (define @t37 () (tptp.v8_lattices @t4)) % 34.17/34.49 (define @t38 () (tptp.v7_lattices @t4)) % 34.17/34.49 (define @t39 () (tptp.v6_lattices @t4)) % 34.17/34.49 (define @t40 () (tptp.v5_lattices @t4)) % 34.17/34.49 (define @t41 () (tptp.v4_lattices @t4)) % 34.17/34.49 (define @t42 () (and @t25 @t41 @t40 @t39 @t38 @t37 @t36)) % 34.17/34.49 (define @t43 () (and @t25 @t23)) % 34.17/34.49 (define @t44 () (=> @t43 @t42)) % 34.17/34.49 (define @t45 () (forall @t28 (=> @t22 @t44))) % 34.17/34.49 (define @t46 () (not @t35)) % 34.17/34.49 (define @t47 () (tptp.v1_realset1 @t4)) % 34.17/34.49 (define @t48 () (not @t47)) % 34.17/34.49 (define @t49 () (tptp.k2_zfmisc_1 @t4 @t1)) % 34.17/34.49 (define @t50 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t49))) % 34.17/34.49 (define @t51 () (@list @t4 @t1 @t2)) % 34.17/34.49 (define @t52 () (tptp.v1_relat_1 @t4)) % 34.17/34.49 (define @t53 () (and @t52 @t34 (tptp.v2_funct_1 @t4))) % 34.17/34.49 (define @t54 () (and @t52 @t35 @t34)) % 34.17/34.49 (define @t55 () (tptp.k2_tarski @t4 @t1)) % 34.17/34.49 (define @t56 () (tptp.k4_lattices @t4 @t1 @t2)) % 34.17/34.49 (define @t57 () (= @t56 (tptp.k4_lattices @t4 @t2 @t1))) % 34.17/34.49 (define @t58 () (tptp.m1_subset_1 @t2 @t10)) % 34.17/34.49 (define @t59 () (tptp.m1_subset_1 @t1 @t10)) % 34.17/34.49 (define @t60 () (tptp.l1_lattices @t4)) % 34.17/34.49 (define @t61 () (and @t25 @t39 @t60 @t59 @t58)) % 34.17/34.49 (define @t62 () (forall @t51 (=> @t61 @t57))) % 34.17/34.49 (define @t63 () (and @t52 @t34)) % 34.17/34.49 (define @t64 () (@var "D" $$unsorted)) % 34.17/34.49 (define @t65 () (tptp.r2_hidden @t2 @t1)) % 34.17/34.49 (define @t66 () (= (and @t65 (tptp.r2_hidden @t64 @t1)) (tptp.r2_hidden (tptp.k4_lattices @t4 @t2 @t64) @t1))) % 34.17/34.49 (define @t67 () (tptp.m1_subset_1 @t64 @t10)) % 34.17/34.49 (define @t68 () (@list @t64)) % 34.17/34.49 (define @t69 () (forall @t68 (=> @t67 @t66))) % 34.17/34.49 (define @t70 () (=> @t58 @t69)) % 34.17/34.49 (define @t71 () (forall @t6 @t70)) % 34.17/34.49 (define @t72 () (tptp.m1_filter_0 @t1 @t4)) % 34.17/34.49 (define @t73 () (= @t72 @t71)) % 34.17/34.49 (define @t74 () (tptp.k1_zfmisc_1 @t10)) % 34.17/34.49 (define @t75 () (tptp.m1_subset_1 @t1 @t74)) % 34.17/34.49 (define @t76 () (tptp.v1_xboole_0 @t1)) % 34.17/34.49 (define @t77 () (not @t76)) % 34.17/34.49 (define @t78 () (and @t77 @t75)) % 34.17/34.49 (define @t79 () (=> @t78 @t73)) % 34.17/34.49 (define @t80 () (forall @t20 @t79)) % 34.17/34.49 (define @t81 () (=> @t26 @t80)) % 34.17/34.49 (define @t82 () (forall @t28 @t81)) % 34.17/34.49 (define @t83 () (tptp.k2_lattices @t4 @t1 @t2)) % 34.17/34.49 (define @t84 () (= @t83 (tptp.k2_binop_1 @t10 @t10 @t10 @t8 @t1 @t2))) % 34.17/34.49 (define @t85 () (forall @t6 (=> @t58 @t84))) % 34.17/34.49 (define @t86 () (=> @t59 @t85)) % 34.17/34.49 (define @t87 () (forall @t20 @t86)) % 34.17/34.49 (define @t88 () (and @t25 @t60)) % 34.17/34.49 (define @t89 () (=> @t88 @t87)) % 34.17/34.49 (define @t90 () (forall @t28 @t89)) % 34.17/34.49 (define @t91 () (tptp.k1_tarski @t4)) % 34.17/34.49 (define @t92 () (tptp.g3_lattices @t4 @t1 @t2)) % 34.17/34.49 (define @t93 () (tptp.v3_lattices @t92)) % 34.17/34.49 (define @t94 () (tptp.k2_zfmisc_1 @t4 @t4)) % 34.17/34.49 (define @t95 () (tptp.m1_relset_1 @t2 @t94 @t4)) % 34.17/34.49 (define @t96 () (tptp.v1_funct_2 @t2 @t94 @t4)) % 34.17/34.49 (define @t97 () (tptp.v1_funct_1 @t2)) % 34.17/34.49 (define @t98 () (tptp.m1_relset_1 @t1 @t94 @t4)) % 34.17/34.49 (define @t99 () (tptp.v1_funct_2 @t1 @t94 @t4)) % 34.17/34.49 (define @t100 () (tptp.v1_funct_1 @t1)) % 34.17/34.49 (define @t101 () (and @t100 @t99 @t98 @t97 @t96 @t95)) % 34.17/34.49 (define @t102 () (@var "F" $$unsorted)) % 34.17/34.49 (define @t103 () (@var "E" $$unsorted)) % 34.17/34.49 (define @t104 () (tptp.k2_binop_1 @t4 @t1 @t2 @t64 @t103 @t102)) % 34.17/34.49 (define @t105 () (and @t46 @t77 (tptp.v1_funct_1 @t64) (tptp.v1_funct_2 @t64 @t49 @t2) (tptp.m1_relset_1 @t64 @t49 @t2) (tptp.m1_subset_1 @t103 @t4) (tptp.m1_subset_1 @t102 @t1))) % 34.17/34.49 (define @t106 () (@list @t4 @t1 @t2 @t64 @t103 @t102)) % 34.17/34.49 (define @t107 () (tptp.l1_struct_0 @t4)) % 34.17/34.49 (define @t108 () (tptp.l2_lattices @t4)) % 34.17/34.49 (define @t109 () (and @t60 @t108)) % 34.17/34.49 (define @t110 () (forall @t28 (=> @t22 @t109))) % 34.17/34.49 (define @t111 () (tptp.m2_lattice4 @t1 @t4)) % 34.17/34.49 (define @t112 () (and @t77 @t111)) % 34.17/34.49 (define @t113 () (tptp.m1_filter_2 @t1 @t4)) % 34.17/34.49 (define @t114 () (forall @t20 (=> @t113 @t112))) % 34.17/34.49 (define @t115 () (=> @t26 @t114)) % 34.17/34.49 (define @t116 () (forall @t28 @t115)) % 34.17/34.49 (define @t117 () (forall @t20 (=> @t111 @t75))) % 34.17/34.49 (define @t118 () (=> @t26 @t117)) % 34.17/34.49 (define @t119 () (forall @t28 @t118)) % 34.17/34.49 (define @t120 () (tptp.m2_relset_1 @t2 @t4 @t1)) % 34.17/34.49 (define @t121 () (tptp.k2_zfmisc_1 @t10 @t10)) % 34.17/34.49 (define @t122 () (tptp.v1_funct_2 @t8 @t121 @t10)) % 34.17/34.49 (define @t123 () (tptp.v1_funct_1 @t8)) % 34.17/34.49 (define @t124 () (and @t123 @t122 (tptp.m2_relset_1 @t8 @t121 @t10))) % 34.17/34.49 (define @t125 () (forall @t28 (=> @t60 @t124))) % 34.17/34.49 (define @t126 () (tptp.v1_funct_2 @t9 @t121 @t10)) % 34.17/34.49 (define @t127 () (tptp.v1_funct_1 @t9)) % 34.17/34.49 (define @t128 () (and @t127 @t126 (tptp.m2_relset_1 @t9 @t121 @t10))) % 34.17/34.49 (define @t129 () (forall @t28 (=> @t108 @t128))) % 34.17/34.49 (define @t130 () (tptp.m1_relset_1 @t2 @t4 @t1)) % 34.17/34.49 (define @t131 () (and @t25 @t107)) % 34.17/34.49 (define @t132 () (tptp.k1_zfmisc_1 @t4)) % 34.17/34.49 (define @t133 () (tptp.v1_partfun1 @t9 @t121 @t10)) % 34.17/34.49 (define @t134 () (tptp.v1_relat_1 @t9)) % 34.17/34.49 (define @t135 () (not (tptp.v1_xboole_0 @t91))) % 34.17/34.49 (define @t136 () (tptp.v1_partfun1 @t8 @t121 @t10)) % 34.17/34.49 (define @t137 () (tptp.v1_relat_1 @t8)) % 34.17/34.49 (define @t138 () (and (= @t4 @t64) (= @t1 @t103) (= @t2 @t102))) % 34.17/34.49 (define @t139 () (= @t92 (tptp.g3_lattices @t64 @t103 @t102))) % 34.17/34.49 (define @t140 () (@list @t64 @t103 @t102)) % 34.17/34.49 (define @t141 () (forall @t140 (=> @t139 @t138))) % 34.17/34.49 (define @t142 () (=> @t101 @t141)) % 34.17/34.49 (define @t143 () (forall @t51 @t142)) % 34.17/34.49 (define @t144 () (tptp.m1_subset_1 @t1 @t132)) % 34.17/34.49 (define @t145 () (= @t56 @t83)) % 34.17/34.49 (define @t146 () (forall @t51 (=> @t61 @t145))) % 34.17/34.49 (define @t147 () (forall @t20 (= @t113 @t72))) % 34.17/34.49 (define @t148 () (=> @t26 @t147)) % 34.17/34.49 (define @t149 () (forall @t28 @t148)) % 34.17/34.49 (define @t150 () (forall @t51 (= @t120 @t130))) % 34.17/34.49 (define @t151 () (tptp.m1_subset_1 @t4 @t1)) % 34.17/34.49 (define @t152 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 34.17/34.49 (define @t153 () (@var "BOUND_VARIABLE_8296" $$unsorted)) % 34.17/34.49 (define @t154 () (@var "BOUND_VARIABLE_8294" $$unsorted)) % 34.17/34.49 (define @t155 () (@var "BOUND_VARIABLE_8292" $$unsorted)) % 34.17/34.49 (define @t156 () (and (= @t4 @t155) (= @t1 @t154) (= @t2 @t153))) % 34.17/34.49 (define @t157 () (not (= @t92 (tptp.g3_lattices @t155 @t154 @t153)))) % 34.17/34.49 (define @t158 () (not @t95)) % 34.17/34.49 (define @t159 () (not @t96)) % 34.17/34.49 (define @t160 () (not @t97)) % 34.17/34.49 (define @t161 () (not @t98)) % 34.17/34.49 (define @t162 () (not @t99)) % 34.17/34.49 (define @t163 () (not @t100)) % 34.17/34.49 (define @t164 () (or @t157 @t156)) % 34.17/34.49 (define @t165 () (or @t163 @t162 @t161 @t160 @t159 @t158 @t164)) % 34.17/34.49 (define @t166 () (forall (@list @t4 @t1 @t2 @t155 @t154 @t153) @t165)) % 34.17/34.49 (define @t167 () (@list @t155 @t154 @t153)) % 34.17/34.49 (define @t168 () (forall @t167 @t165)) % 34.17/34.49 (define @t169 () (forall @t167 @t164)) % 34.17/34.49 (define @t170 () (or @t163 @t162 @t161 @t160 @t159 @t158 @t169)) % 34.17/34.49 (define @t171 () (forall @t140 (or (not @t139) @t138))) % 34.17/34.49 (define @t172 () (or @t163 @t162 @t161 @t160 @t159 @t158 @t171)) % 34.17/34.49 (define @t173 () (or @t163 @t162 @t161 @t160 @t159 @t158)) % 34.17/34.49 (define @t174 () (@var "BOUND_VARIABLE_7877" $$unsorted)) % 34.17/34.49 (define @t175 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 34.17/34.49 (define @t176 () (tptp.m1_filter_2 @t175 @t174)) % 34.17/34.49 (define @t177 () (not (tptp.m1_filter_2 @t175 @t4))) % 34.17/34.49 (define @t178 () (not (= @t11 (tptp.g3_lattices (tptp.u1_struct_0 @t174) (tptp.u2_lattices @t174) (tptp.u1_lattices @t174))))) % 34.17/34.49 (define @t179 () (not (tptp.l3_lattices @t174))) % 34.17/34.49 (define @t180 () (not (tptp.v10_lattices @t174))) % 34.17/34.49 (define @t181 () (tptp.v3_struct_0 @t174)) % 34.17/34.49 (define @t182 () (not @t22)) % 34.17/34.49 (define @t183 () (not @t23)) % 34.17/34.49 (define @t184 () (or @t24 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t176)) % 34.17/34.49 (define @t185 () (@list @t4 @t174 @t175)) % 34.17/34.49 (define @t186 () (forall @t185 @t184)) % 34.17/34.49 (define @t187 () (@quantifiers_skolemize @t186 1)) % 34.17/34.49 (define @t188 () (tptp.u1_lattices @t187)) % 34.17/34.49 (define @t189 () (tptp.u2_lattices @t187)) % 34.17/34.49 (define @t190 () (tptp.u1_struct_0 @t187)) % 34.17/34.49 (define @t191 () (@quantifiers_skolemize @t186 0)) % 34.17/34.49 (define @t192 () (tptp.u1_lattices @t191)) % 34.17/34.49 (define @t193 () (tptp.u2_lattices @t191)) % 34.17/34.49 (define @t194 () (tptp.u1_struct_0 @t191)) % 34.17/34.49 (define @t195 () (tptp.k2_zfmisc_1 @t194 @t194)) % 34.17/34.49 (define @t196 () (tptp.m2_relset_1 @t192 @t195 @t194)) % 34.17/34.49 (define @t197 () (tptp.m1_relset_1 @t192 @t195 @t194)) % 34.17/34.49 (define @t198 () (= @t196 @t197)) % 34.17/34.49 (define @t199 () (= @t197 @t196)) % 34.17/34.49 (define @t200 () (@list false)) % 34.17/34.49 (define @t201 () (@list @t150)) % 34.17/34.49 (define @t202 () (@list @t191)) % 34.17/34.49 (define @t203 () (or @t181 @t180 @t179 @t178 @t177 @t176)) % 34.17/34.49 (define @t204 () (or @t24 @t183 @t182 @t203)) % 34.17/34.49 (define @t205 () (forall @t185 @t204)) % 34.17/34.49 (define @t206 () (@list @t174 @t175)) % 34.17/34.49 (define @t207 () (forall @t206 @t204)) % 34.17/34.49 (define @t208 () (forall @t206 @t203)) % 34.17/34.49 (define @t209 () (@var "BOUND_VARIABLE_7858" $$unsorted)) % 34.17/34.49 (define @t210 () (or @t24 @t183 @t182 @t208)) % 34.17/34.49 (define @t211 () (tptp.m1_filter_2 @t209 @t1)) % 34.17/34.49 (define @t212 () (not (tptp.m1_filter_2 @t209 @t4))) % 34.17/34.49 (define @t213 () (not @t12)) % 34.17/34.49 (define @t214 () (not @t14)) % 34.17/34.49 (define @t215 () (not @t15)) % 34.17/34.49 (define @t216 () (or @t16 @t215 @t214 @t213 @t212 @t211)) % 34.17/34.49 (define @t217 () (@list @t1 @t209)) % 34.17/34.49 (define @t218 () (forall @t217 @t216)) % 34.17/34.49 (define @t219 () (or @t24 @t183 @t182 @t218)) % 34.17/34.49 (define @t220 () (or @t24 @t183 @t182)) % 34.17/34.49 (define @t221 () (not @t25)) % 34.17/34.49 (define @t222 () (or @t221 @t183 @t182)) % 34.17/34.49 (define @t223 () (not @t26)) % 34.17/34.49 (define @t224 () (or @t212 @t211)) % 34.17/34.49 (define @t225 () (or @t16 @t215 @t214 @t213 @t224)) % 34.17/34.49 (define @t226 () (forall @t217 @t225)) % 34.17/34.49 (define @t227 () (@list @t209)) % 34.17/34.49 (define @t228 () (forall @t227 @t225)) % 34.17/34.49 (define @t229 () (forall @t227 @t224)) % 34.17/34.49 (define @t230 () (@list @t2)) % 34.17/34.49 (define @t231 () (or @t16 @t215 @t214 @t213 @t229)) % 34.17/34.49 (define @t232 () (forall @t6 (or (not @t5) @t3))) % 34.17/34.49 (define @t233 () (or @t16 @t215 @t214 @t213 @t232)) % 34.17/34.49 (define @t234 () (not @t17)) % 34.17/34.49 (define @t235 () (or @t234 @t215 @t214)) % 34.17/34.49 (define @t236 () (=> @t12 @t232)) % 34.17/34.49 (define @t237 () (tptp.l3_lattices @t191)) % 34.17/34.49 (define @t238 () (@quantifiers_skolemize @t186 2)) % 34.17/34.49 (define @t239 () (tptp.m1_filter_2 @t238 @t187)) % 34.17/34.49 (define @t240 () (tptp.m1_filter_2 @t238 @t191)) % 34.17/34.49 (define @t241 () (not @t240)) % 34.17/34.49 (define @t242 () (= (tptp.g3_lattices @t194 @t193 @t192) (tptp.g3_lattices @t190 @t189 @t188))) % 34.17/34.49 (define @t243 () (not @t242)) % 34.17/34.49 (define @t244 () (tptp.l3_lattices @t187)) % 34.17/34.49 (define @t245 () (not @t244)) % 34.17/34.49 (define @t246 () (tptp.v10_lattices @t187)) % 34.17/34.49 (define @t247 () (not @t246)) % 34.17/34.49 (define @t248 () (tptp.v3_struct_0 @t187)) % 34.17/34.49 (define @t249 () (not @t237)) % 34.17/34.49 (define @t250 () (tptp.v10_lattices @t191)) % 34.17/34.49 (define @t251 () (not @t250)) % 34.17/34.49 (define @t252 () (tptp.v3_struct_0 @t191)) % 34.17/34.49 (define @t253 () (or @t252 @t251 @t249 @t248 @t247 @t245 @t243 @t241 @t239)) % 34.17/34.49 (define @t254 () (@list true)) % 34.17/34.49 (define @t255 () (@list @t253)) % 34.17/34.49 (define @t256 () (tptp.l2_lattices @t191)) % 34.17/34.49 (define @t257 () (tptp.l1_lattices @t191)) % 34.17/34.49 (define @t258 () (and @t257 @t256)) % 34.17/34.49 (define @t259 () (or @t249 @t258)) % 34.17/34.49 (define @t260 () (@list false false)) % 34.17/34.49 (define @t261 () (not @t258)) % 34.17/34.49 (define @t262 () (@list @t258)) % 34.17/34.49 (define @t263 () (tptp.v1_funct_2 @t192 @t195 @t194)) % 34.17/34.49 (define @t264 () (tptp.v1_funct_1 @t192)) % 34.17/34.49 (define @t265 () (and @t264 @t263 @t196)) % 34.17/34.49 (define @t266 () (not @t257)) % 34.17/34.49 (define @t267 () (or @t266 @t265)) % 34.17/34.49 (define @t268 () (not @t265)) % 34.17/34.49 (define @t269 () (@list @t265)) % 34.17/34.49 (define @t270 () (tptp.m2_relset_1 @t193 @t195 @t194)) % 34.17/34.49 (define @t271 () (tptp.m1_relset_1 @t193 @t195 @t194)) % 34.17/34.49 (define @t272 () (= @t270 @t271)) % 34.17/34.49 (define @t273 () (= @t271 @t270)) % 34.17/34.49 (define @t274 () (tptp.v1_funct_2 @t193 @t195 @t194)) % 34.17/34.49 (define @t275 () (tptp.v1_funct_1 @t193)) % 34.17/34.49 (define @t276 () (and @t275 @t274 @t270)) % 34.17/34.49 (define @t277 () (not @t256)) % 34.17/34.49 (define @t278 () (or @t277 @t276)) % 34.17/34.49 (define @t279 () (not @t276)) % 34.17/34.49 (define @t280 () (@list @t276)) % 34.17/34.49 (define @t281 () (= @t192 @t188)) % 34.17/34.49 (define @t282 () (= @t194 @t190)) % 34.17/34.49 (define @t283 () (and @t282 (= @t193 @t189) @t281)) % 34.17/34.49 (define @t284 () (not @t197)) % 34.17/34.49 (define @t285 () (not @t263)) % 34.17/34.49 (define @t286 () (not @t264)) % 34.17/34.49 (define @t287 () (not @t271)) % 34.17/34.49 (define @t288 () (not @t274)) % 34.17/34.49 (define @t289 () (not @t275)) % 34.17/34.49 (define @t290 () (or @t289 @t288 @t287 @t286 @t285 @t284 @t243 @t283)) % 34.17/34.49 (define @t291 () (not @t283)) % 34.17/34.49 (define @t292 () (@list @t283)) % 34.17/34.49 (define @t293 () (not @t58)) % 34.17/34.49 (define @t294 () (not @t59)) % 34.17/34.49 (define @t295 () (not @t60)) % 34.17/34.49 (define @t296 () (not @t39)) % 34.17/34.49 (define @t297 () (or @t24 @t296 @t295 @t294 @t293)) % 34.17/34.49 (define @t298 () (or @t221 @t296 @t295 @t294 @t293)) % 34.17/34.49 (define @t299 () (not @t61)) % 34.17/34.49 (define @t300 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 34.17/34.49 (define @t301 () (and (tptp.r2_hidden @t2 @t238) (tptp.r2_hidden @t300 @t238))) % 34.17/34.49 (define @t302 () (@list @t2 @t300)) % 34.17/34.49 (define @t303 () (forall @t302 (or (not (tptp.m1_subset_1 @t2 @t190)) (not (tptp.m1_subset_1 @t300 @t190)) (= @t301 (tptp.r2_hidden (tptp.k4_lattices @t187 @t2 @t300) @t238))))) % 34.17/34.49 (define @t304 () (@quantifiers_skolemize @t303 1)) % 34.17/34.49 (define @t305 () (@quantifiers_skolemize @t303 0)) % 34.17/34.49 (define @t306 () (@list @t187 @t305 @t304)) % 34.17/34.49 (define @t307 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 34.17/34.49 (define @t308 () (tptp.k4_lattices @t4 @t2 @t300)) % 34.17/34.49 (define @t309 () (not (tptp.m1_subset_1 @t300 @t10))) % 34.17/34.49 (define @t310 () (= (tptp.m1_filter_0 @t307 @t4) (forall @t302 (or @t293 @t309 (= (and (tptp.r2_hidden @t2 @t307) (tptp.r2_hidden @t300 @t307)) (tptp.r2_hidden @t308 @t307)))))) % 34.17/34.49 (define @t311 () (not (tptp.m1_subset_1 @t307 @t74))) % 34.17/34.49 (define @t312 () (tptp.v1_xboole_0 @t307)) % 34.17/34.49 (define @t313 () (or @t312 @t311 @t310)) % 34.17/34.49 (define @t314 () (or @t24 @t183 @t182 @t313)) % 34.17/34.49 (define @t315 () (forall (@list @t4 @t307) @t314)) % 34.17/34.49 (define @t316 () (@list @t307)) % 34.17/34.49 (define @t317 () (forall @t316 @t314)) % 34.17/34.49 (define @t318 () (forall @t316 @t313)) % 34.17/34.49 (define @t319 () (@list @t1)) % 34.17/34.49 (define @t320 () (or @t24 @t183 @t182 @t318)) % 34.17/34.49 (define @t321 () (= (and @t65 (tptp.r2_hidden @t300 @t1)) (tptp.r2_hidden @t308 @t1))) % 34.17/34.49 (define @t322 () (or @t293 @t309 @t321)) % 34.17/34.49 (define @t323 () (= @t72 (forall @t302 @t322))) % 34.17/34.49 (define @t324 () (not @t75)) % 34.17/34.49 (define @t325 () (or @t76 @t324 @t323)) % 34.17/34.49 (define @t326 () (forall @t20 @t325)) % 34.17/34.49 (define @t327 () (or @t24 @t183 @t182 @t326)) % 34.17/34.49 (define @t328 () (or @t309 @t321)) % 34.17/34.49 (define @t329 () (or @t293 @t328)) % 34.17/34.49 (define @t330 () (forall @t302 @t329)) % 34.17/34.49 (define @t331 () (@list @t300)) % 34.17/34.49 (define @t332 () (forall @t331 @t329)) % 34.17/34.49 (define @t333 () (forall @t331 @t328)) % 34.17/34.49 (define @t334 () (or @t293 @t333)) % 34.17/34.49 (define @t335 () (forall @t68 (or (not @t67) @t66))) % 34.17/34.49 (define @t336 () (@list @t187 @t238)) % 34.17/34.49 (define @t337 () (@var "BOUND_VARIABLE_8159" $$unsorted)) % 34.17/34.49 (define @t338 () (tptp.m1_subset_1 @t337 @t74)) % 34.17/34.49 (define @t339 () (not (tptp.m2_lattice4 @t337 @t4))) % 34.17/34.49 (define @t340 () (or @t339 @t338)) % 34.17/34.49 (define @t341 () (or @t24 @t183 @t182 @t340)) % 34.17/34.49 (define @t342 () (forall (@list @t4 @t337) @t341)) % 34.17/34.49 (define @t343 () (@list @t337)) % 34.17/34.49 (define @t344 () (forall @t343 @t341)) % 34.17/34.49 (define @t345 () (forall @t343 @t340)) % 34.17/34.49 (define @t346 () (or @t24 @t183 @t182 @t345)) % 34.17/34.49 (define @t347 () (forall @t20 (or (not @t111) @t75))) % 34.17/34.49 (define @t348 () (or @t24 @t183 @t182 @t347)) % 34.17/34.49 (define @t349 () (@list @t191 @t238)) % 34.17/34.49 (define @t350 () (@var "BOUND_VARIABLE_8137" $$unsorted)) % 34.17/34.49 (define @t351 () (and (not (tptp.v1_xboole_0 @t350)) (tptp.m2_lattice4 @t350 @t4))) % 34.17/34.49 (define @t352 () (not (tptp.m1_filter_2 @t350 @t4))) % 34.17/34.49 (define @t353 () (or @t352 @t351)) % 34.17/34.49 (define @t354 () (or @t24 @t183 @t182 @t353)) % 34.17/34.49 (define @t355 () (forall (@list @t4 @t350) @t354)) % 34.17/34.49 (define @t356 () (@list @t350)) % 34.17/34.49 (define @t357 () (forall @t356 @t354)) % 34.17/34.49 (define @t358 () (forall @t356 @t353)) % 34.17/34.49 (define @t359 () (or @t24 @t183 @t182 @t358)) % 34.17/34.49 (define @t360 () (forall @t20 (or (not @t113) @t112))) % 34.17/34.49 (define @t361 () (or @t24 @t183 @t182 @t360)) % 34.17/34.49 (define @t362 () (not @t252)) % 34.17/34.49 (define @t363 () (tptp.m2_lattice4 @t238 @t191)) % 34.17/34.49 (define @t364 () (tptp.v1_xboole_0 @t238)) % 34.17/34.49 (define @t365 () (not @t364)) % 34.17/34.49 (define @t366 () (and @t365 @t363)) % 34.17/34.49 (define @t367 () (or @t252 @t251 @t249 @t241 @t366)) % 34.17/34.49 (define @t368 () (@list true false false false false)) % 34.17/34.49 (define @t369 () (not @t366)) % 34.17/34.49 (define @t370 () (@list @t366)) % 34.17/34.49 (define @t371 () (tptp.m1_subset_1 @t238 (tptp.k1_zfmisc_1 @t194))) % 34.17/34.49 (define @t372 () (not @t363)) % 34.17/34.49 (define @t373 () (or @t252 @t251 @t249 @t372 @t371)) % 34.17/34.49 (define @t374 () (tptp.k1_zfmisc_1 @t190)) % 34.17/34.49 (define @t375 () (tptp.m1_subset_1 @t238 @t374)) % 34.17/34.49 (define @t376 () (not @t248)) % 34.17/34.49 (define @t377 () (tptp.m1_filter_0 @t238 @t187)) % 34.17/34.49 (define @t378 () (= @t377 @t303)) % 34.17/34.49 (define @t379 () (not @t375)) % 34.17/34.49 (define @t380 () (or @t248 @t247 @t245 @t364 @t379 @t378)) % 34.17/34.49 (define @t381 () (@list true false false true false false)) % 34.17/34.49 (define @t382 () (@var "BOUND_VARIABLE_8435" $$unsorted)) % 34.17/34.49 (define @t383 () (= (tptp.m1_filter_0 @t382 @t4) (tptp.m1_filter_2 @t382 @t4))) % 34.17/34.49 (define @t384 () (or @t24 @t183 @t182 @t383)) % 34.17/34.49 (define @t385 () (forall (@list @t4 @t382) @t384)) % 34.17/34.49 (define @t386 () (@list @t382)) % 34.17/34.49 (define @t387 () (forall @t386 @t384)) % 34.17/34.49 (define @t388 () (forall @t386 @t383)) % 34.17/34.49 (define @t389 () (or @t24 @t183 @t182 @t388)) % 34.17/34.49 (define @t390 () (forall @t20 (= @t72 @t113))) % 34.17/34.49 (define @t391 () (or @t24 @t183 @t182 @t390)) % 34.17/34.49 (define @t392 () (or @t248 @t247 @t245 (= @t377 @t239))) % 34.17/34.49 (define @t393 () (= @t239 @t377)) % 34.17/34.49 (define @t394 () (or @t248 @t247 @t245 @t393)) % 34.17/34.49 (define @t395 () (@list @t385)) % 34.17/34.49 (define @t396 () (@list true false false false)) % 34.17/34.49 (define @t397 () (not @t377)) % 34.17/34.49 (define @t398 () (@list true false)) % 34.17/34.49 (define @t399 () (not @t303)) % 34.17/34.49 (define @t400 () (tptp.m1_subset_1 @t304 @t190)) % 34.17/34.49 (define @t401 () (tptp.k4_lattices @t187 @t305 @t304)) % 34.17/34.49 (define @t402 () (tptp.r2_hidden @t401 @t238)) % 34.17/34.49 (define @t403 () (and (tptp.r2_hidden @t305 @t238) (tptp.r2_hidden @t304 @t238))) % 34.17/34.49 (define @t404 () (= @t403 @t402)) % 34.17/34.49 (define @t405 () (not @t400)) % 34.17/34.49 (define @t406 () (tptp.m1_subset_1 @t305 @t190)) % 34.17/34.49 (define @t407 () (not @t406)) % 34.17/34.49 (define @t408 () (or @t407 @t405 @t404)) % 34.17/34.49 (define @t409 () (@list @t408)) % 34.17/34.49 (define @t410 () (or @t24 @t183 @t42)) % 34.17/34.49 (define @t411 () (@list @t187)) % 34.17/34.49 (define @t412 () (tptp.v6_lattices @t187)) % 34.17/34.49 (define @t413 () (and @t376 (tptp.v4_lattices @t187) (tptp.v5_lattices @t187) @t412 (tptp.v7_lattices @t187) (tptp.v8_lattices @t187) (tptp.v9_lattices @t187))) % 34.17/34.49 (define @t414 () (or @t245 @t248 @t247 @t413)) % 34.17/34.49 (define @t415 () (tptp.l1_lattices @t187)) % 34.17/34.49 (define @t416 () (and @t415 (tptp.l2_lattices @t187))) % 34.17/34.49 (define @t417 () (or @t245 @t416)) % 34.17/34.49 (define @t418 () (tptp.k2_lattices @t187 @t305 @t304)) % 34.17/34.49 (define @t419 () (= @t401 @t418)) % 34.17/34.49 (define @t420 () (not @t415)) % 34.17/34.49 (define @t421 () (not @t412)) % 34.17/34.49 (define @t422 () (or @t248 @t421 @t420 @t407 @t405 @t419)) % 34.17/34.49 (define @t423 () (@list true false false false false false)) % 34.17/34.49 (define @t424 () (@list @t191 @t305 @t304)) % 34.17/34.49 (define @t425 () (tptp.m1_subset_1 @t304 @t194)) % 34.17/34.49 (define @t426 () (tptp.m1_subset_1 @t305 @t194)) % 34.17/34.49 (define @t427 () (tptp.v6_lattices @t191)) % 34.17/34.49 (define @t428 () (and @t362 (tptp.v4_lattices @t191) (tptp.v5_lattices @t191) @t427 (tptp.v7_lattices @t191) (tptp.v8_lattices @t191) (tptp.v9_lattices @t191))) % 34.17/34.49 (define @t429 () (or @t249 @t252 @t251 @t428)) % 34.17/34.49 (define @t430 () (tptp.k4_lattices @t191 @t304 @t305)) % 34.17/34.49 (define @t431 () (tptp.k4_lattices @t191 @t305 @t304)) % 34.17/34.49 (define @t432 () (= @t431 @t430)) % 34.17/34.49 (define @t433 () (not @t425)) % 34.17/34.49 (define @t434 () (not @t426)) % 34.17/34.49 (define @t435 () (not @t427)) % 34.17/34.49 (define @t436 () (or @t252 @t435 @t266 @t434 @t433 @t432)) % 34.17/34.49 (define @t437 () (@var "BOUND_VARIABLE_8053" $$unsorted)) % 34.17/34.49 (define @t438 () (@var "BOUND_VARIABLE_8051" $$unsorted)) % 34.17/34.49 (define @t439 () (= (tptp.k2_lattices @t4 @t438 @t437) (tptp.k2_binop_1 @t10 @t10 @t10 @t8 @t438 @t437))) % 34.17/34.49 (define @t440 () (not (tptp.m1_subset_1 @t437 @t10))) % 34.17/34.49 (define @t441 () (not (tptp.m1_subset_1 @t438 @t10))) % 34.17/34.49 (define @t442 () (or @t441 @t440 @t439)) % 34.17/34.49 (define @t443 () (or @t24 @t295 @t442)) % 34.17/34.49 (define @t444 () (forall (@list @t4 @t438 @t437) @t443)) % 34.17/34.49 (define @t445 () (@list @t438 @t437)) % 34.17/34.49 (define @t446 () (forall @t445 @t443)) % 34.17/34.49 (define @t447 () (forall @t445 @t442)) % 34.17/34.49 (define @t448 () (@var "BOUND_VARIABLE_8032" $$unsorted)) % 34.17/34.49 (define @t449 () (or @t24 @t295 @t447)) % 34.17/34.49 (define @t450 () (= (tptp.k2_lattices @t4 @t1 @t448) (tptp.k2_binop_1 @t10 @t10 @t10 @t8 @t1 @t448))) % 34.17/34.49 (define @t451 () (not (tptp.m1_subset_1 @t448 @t10))) % 34.17/34.49 (define @t452 () (or @t294 @t451 @t450)) % 34.17/34.49 (define @t453 () (@list @t1 @t448)) % 34.17/34.49 (define @t454 () (forall @t453 @t452)) % 34.17/34.49 (define @t455 () (or @t24 @t295 @t454)) % 34.17/34.49 (define @t456 () (or @t451 @t450)) % 34.17/34.49 (define @t457 () (or @t294 @t456)) % 34.17/34.49 (define @t458 () (forall @t453 @t457)) % 34.17/34.49 (define @t459 () (@list @t448)) % 34.17/34.49 (define @t460 () (forall @t459 @t457)) % 34.17/34.49 (define @t461 () (forall @t459 @t456)) % 34.17/34.49 (define @t462 () (or @t294 @t461)) % 34.17/34.49 (define @t463 () (forall @t6 (or @t293 @t84))) % 34.17/34.49 (define @t464 () (= @t418 (tptp.k2_binop_1 @t190 @t190 @t190 @t188 @t305 @t304))) % 34.17/34.49 (define @t465 () (or @t248 @t420 @t407 @t405 @t464)) % 34.17/34.49 (define @t466 () (tptp.k2_binop_1 @t194 @t194 @t194 @t192 @t305 @t304)) % 34.17/34.49 (define @t467 () (tptp.k2_lattices @t191 @t305 @t304)) % 34.17/34.49 (define @t468 () (= @t467 @t466)) % 34.17/34.49 (define @t469 () (or @t252 @t266 @t434 @t433 @t468)) % 34.17/34.49 (define @t470 () (= @t431 @t467)) % 34.17/34.49 (define @t471 () (or @t252 @t435 @t266 @t434 @t433 @t470)) % 34.17/34.49 (define @t472 () (forall @t302 (or (not (tptp.m1_subset_1 @t2 @t194)) (not (tptp.m1_subset_1 @t300 @t194)) (= @t301 (tptp.r2_hidden (tptp.k4_lattices @t191 @t2 @t300) @t238))))) % 34.17/34.49 (define @t473 () (tptp.m1_filter_0 @t238 @t191)) % 34.17/34.49 (define @t474 () (= @t473 @t472)) % 34.17/34.49 (define @t475 () (not @t371)) % 34.17/34.49 (define @t476 () (or @t252 @t251 @t249 @t364 @t475 @t474)) % 34.17/34.49 (define @t477 () (or @t252 @t251 @t249 (= @t473 @t240))) % 34.17/34.49 (define @t478 () (= @t240 @t473)) % 34.17/34.49 (define @t479 () (or @t252 @t251 @t249 @t478)) % 34.17/34.49 (define @t480 () (tptp.r2_hidden @t431 @t238)) % 34.17/34.49 (define @t481 () (= @t403 @t480)) % 34.17/34.49 (define @t482 () (or @t434 @t433 @t481)) % 34.17/34.49 (define @t483 () (not @t481)) % 34.17/34.49 (define @t484 () (not @t403)) % 34.17/34.49 (define @t485 () (not @t480)) % 34.17/34.49 (define @t486 () (not @t470)) % 34.17/34.49 (define @t487 () (not @t468)) % 34.17/34.49 (define @t488 () (not @t464)) % 34.17/34.49 (define @t489 () (not @t419)) % 34.17/34.49 (define @t490 () (not @t432)) % 34.17/34.49 (define @t491 () (not @t281)) % 34.17/34.49 (define @t492 () (not @t282)) % 34.17/34.49 (define @t493 () (not @t402)) % 34.17/34.49 (define @t494 () (tptp.r2_hidden @t430 @t238)) % 34.17/34.49 (define @t495 () (and @t282 @t281 @t493 @t432 @t419 @t464 @t468 @t470)) % 34.17/34.49 (define @t496 () (and @t282 @t281 @t402 @t432 @t419 @t464 @t468 @t470)) % 34.17/34.49 (assume @p1 @t30) % 34.17/34.49 (assume @p2 (forall @t28 (=> @t22 (=> @t31 (= @t4 @t11))))) % 34.17/34.49 (assume @p3 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t1 @t4))))) % 34.17/34.49 (assume @p4 (forall @t28 (=> @t35 @t34))) % 34.17/34.49 (assume @p5 @t45) % 34.17/34.49 (assume @p6 (forall @t28 (=> @t48 @t46))) % 34.17/34.49 (assume @p7 (forall @t51 (=> @t50 (tptp.v1_relat_1 @t2)))) % 34.17/34.49 (assume @p8 (forall @t28 (=> @t54 @t53))) % 34.17/34.49 (assume @p9 (forall @t28 (=> @t22 (=> @t42 @t43)))) % 34.17/34.49 (assume @p10 (forall @t33 (= @t55 (tptp.k2_tarski @t1 @t4)))) % 34.17/34.49 (assume @p11 @t62) % 34.17/34.49 (assume @p12 (forall @t28 (=> @t63 (forall (@list @t1 @t2) (= (tptp.k1_binop_1 @t4 @t1 @t2) (tptp.k1_funct_1 @t4 (tptp.k4_tarski @t1 @t2))))))) % 34.17/34.49 (assume @p13 @t82) % 34.17/34.49 (assume @p14 @t90) % 34.17/34.49 (assume @p15 (forall @t33 (= (tptp.k4_tarski @t4 @t1) (tptp.k2_tarski @t55 @t91)))) % 34.17/34.49 (assume @p16 (forall @t51 (=> @t101 (and @t93 (tptp.l3_lattices @t92))))) % 34.17/34.49 (assume @p17 true) % 34.17/34.49 (assume @p18 (forall @t106 (=> @t105 (tptp.m1_subset_1 @t104 @t2)))) % 34.17/34.49 (assume @p19 (forall @t51 (=> (and @t25 @t60 @t59 @t58) (tptp.m1_subset_1 @t83 @t10)))) % 34.17/34.49 (assume @p20 (forall @t51 (=> @t61 (tptp.m1_subset_1 @t56 @t10)))) % 34.17/34.49 (assume @p21 (forall @t28 (=> @t60 @t107))) % 34.17/34.49 (assume @p22 (forall @t28 (=> @t108 @t107))) % 34.17/34.49 (assume @p23 @t110) % 34.17/34.49 (assume @p24 (forall @t28 (=> @t26 (forall @t20 (=> @t72 @t78))))) % 34.17/34.49 (assume @p25 @t116) % 34.17/34.49 (assume @p26 @t119) % 34.17/34.49 (assume @p27 (forall @t51 (=> @t120 @t50))) % 34.17/34.49 (assume @p28 @t125) % 34.17/34.49 (assume @p29 @t129) % 34.17/34.49 (assume @p30 (exists @t28 @t60)) % 34.17/34.49 (assume @p31 (exists @t28 @t107)) % 34.17/34.49 (assume @p32 (exists @t28 @t108)) % 34.17/34.49 (assume @p33 (exists @t28 @t22)) % 34.17/34.49 (assume @p34 (forall @t28 (=> @t26 (exists @t20 @t72)))) % 34.17/34.49 (assume @p35 (forall @t28 (=> @t26 (exists @t20 @t113)))) % 34.17/34.49 (assume @p36 (forall @t33 (exists @t6 @t130))) % 34.17/34.49 (assume @p37 (forall @t28 (exists @t20 (tptp.m1_subset_1 @t1 @t4)))) % 34.17/34.49 (assume @p38 (forall @t28 (=> @t26 (exists @t20 @t111)))) % 34.17/34.49 (assume @p39 (forall @t33 (exists @t6 @t120))) % 34.17/34.49 (assume @p40 (forall @t28 (=> @t131 (not (tptp.v1_xboole_0 @t10))))) % 34.17/34.49 (assume @p41 (forall @t28 (not (tptp.v1_xboole_0 @t132)))) % 34.17/34.49 (assume @p42 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.17/34.49 (assume @p43 (forall @t28 (=> (and @t25 @t41 @t108) (and @t134 @t127 @t126 (tptp.v1_binop_1 @t9 @t10) @t133)))) % 34.17/34.49 (assume @p44 (forall @t28 @t135)) % 34.17/34.49 (assume @p45 (forall @t28 (=> (and @t25 @t40 @t108) (and @t134 @t127 @t126 (tptp.v2_binop_1 @t9 @t10) @t133)))) % 34.17/34.49 (assume @p46 (forall @t51 (=> (and @t46 @t100 @t99 @t98 @t97 @t96 @t95) (and (not (tptp.v3_struct_0 @t92)) @t93)))) % 34.17/34.49 (assume @p47 (forall @t28 (and @t135 (tptp.v1_finset_1 @t91) (tptp.v1_realset1 @t91)))) % 34.17/34.49 (assume @p48 (forall @t33 (not (tptp.v1_xboole_0 @t55)))) % 34.17/34.49 (assume @p49 (forall @t28 (=> (and @t25 @t39 @t60) (and @t137 @t123 @t122 (tptp.v1_binop_1 @t8 @t10) @t136)))) % 34.17/34.49 (assume @p50 (forall @t33 (=> (and @t46 @t77) (not (tptp.v1_xboole_0 @t49))))) % 34.17/34.49 (assume @p51 (forall @t28 (=> (and @t25 @t38 @t60) (and @t137 @t123 @t122 (tptp.v2_binop_1 @t8 @t10) @t136)))) % 34.17/34.49 (assume @p52 @t143) % 34.17/34.49 (assume @p53 (exists @t28 @t63)) % 34.17/34.49 (assume @p54 (forall @t28 (=> @t26 (exists @t20 (and @t111 @t77))))) % 34.17/34.49 (assume @p55 (exists @t28 (and @t46 @t47))) % 34.17/34.49 (assume @p56 (forall @t28 (=> @t46 (exists @t20 (and @t144 @t77))))) % 34.17/34.49 (assume @p57 (exists @t28 @t35)) % 34.17/34.49 (assume @p58 (exists @t28 @t54)) % 34.17/34.49 (assume @p59 (exists @t28 (and @t46 @t48))) % 34.17/34.49 (assume @p60 (forall @t28 (exists @t20 (and @t144 @t76)))) % 34.17/34.49 (assume @p61 (exists @t28 @t46)) % 34.17/34.49 (assume @p62 (exists @t28 @t53)) % 34.17/34.49 (assume @p63 (exists @t28 (and @t22 @t31))) % 34.17/34.49 (assume @p64 (exists @t28 (and @t107 @t25))) % 34.17/34.49 (assume @p65 (forall @t28 (=> @t131 (exists @t20 (and @t75 @t77))))) % 34.17/34.49 (assume @p66 (exists @t28 (and @t22 @t25 @t31))) % 34.17/34.49 (assume @p67 (exists @t28 (and @t22 @t25 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t23))) % 34.17/34.49 (assume @p68 (forall @t106 (=> @t105 (= @t104 (tptp.k1_binop_1 @t64 @t103 @t102))))) % 34.17/34.49 (assume @p69 @t146) % 34.17/34.49 (assume @p70 @t149) % 34.17/34.49 (assume @p71 @t150) % 34.17/34.49 (assume @p72 (forall @t33 (tptp.r1_tarski @t4 @t4))) % 34.17/34.49 (assume @p73 (forall @t33 (=> @t32 @t151))) % 34.17/34.49 (assume @p74 (forall @t33 (=> @t151 (or @t76 @t32)))) % 34.17/34.49 (assume @p75 (forall @t33 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t4 @t1)))) % 34.17/34.49 (assume @p76 (forall @t51 (=> (and @t32 @t152) (tptp.m1_subset_1 @t4 @t2)))) % 34.17/34.49 (assume @p77 (forall @t51 (not (and @t32 @t152 (tptp.v1_xboole_0 @t2))))) % 34.17/34.49 (assume @p78 (forall @t28 (=> @t35 (= @t4 tptp.k1_xboole_0)))) % 34.17/34.49 (assume @p79 (forall @t33 (not (and @t32 @t76)))) % 34.17/34.49 (assume @p80 (forall @t33 (not (and @t35 (not (= @t4 @t1)) @t76)))) % 34.17/34.49 (step @p81 :rule aci_norm :args ((= @t165 (or @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156)))) % 34.17/34.49 (step @p82 :rule cong :premises (@p81) :args (@t166)) % 34.17/34.49 (step @p83 :rule quant-merge-prenex :args ((= (forall @t51 @t168) @t166))) % 34.17/34.49 (step @p84 :rule alpha_equiv :args (@t169 (@list @t155 @t154 @t153) (@list @t64 @t103 @t102))) % 34.17/34.49 (step @p85 :rule refl :args (@t158)) % 34.17/34.49 (step @p86 :rule refl :args (@t159)) % 34.17/34.49 (step @p87 :rule refl :args (@t160)) % 34.17/34.49 (step @p88 :rule refl :args (@t161)) % 34.17/34.49 (step @p89 :rule refl :args (@t162)) % 34.17/34.49 (step @p90 :rule refl :args (@t163)) % 34.17/34.49 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87 @p86 @p85 @p84) :args (@t170)) % 34.17/34.49 (step @p92 :rule quant-miniscope-or :args ((= @t168 @t170))) % 34.17/34.49 (step @p93 :rule trans :premises (@p92 @p91)) % 34.17/34.49 (step @p94 :rule symm :premises (@p93)) % 34.17/34.49 (step @p95 :rule cong :premises (@p94) :args ((forall @t51 @t172))) % 34.17/34.49 (step @p96 :rule trans :premises (@p95 @p83)) % 34.17/34.49 (step @p97 :rule trans :premises (@p96 @p82)) % 34.17/34.49 (step @p98 :rule aci_norm :args ((= (or @t173 @t171) @t172))) % 34.17/34.49 (step @p99 :rule refl :args (@t171)) % 34.17/34.49 (step @p100 :rule aci_norm :args ((= (or @t163 (or @t162 (or @t161 (or @t160 (or @t159 @t158))))) @t173))) % 34.17/34.49 (step @p101 :rule bool-and-de-morgan :args (@t96 @t95 true)) % 34.17/34.49 (step @p102 :rule nary_cong :premises (@p87 @p101) :args ((or @t160 (not (and @t96 @t95))))) % 34.17/34.49 (step @p103 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95))) % 34.17/34.49 (step @p104 :rule trans :premises (@p103 @p102)) % 34.17/34.49 (step @p105 :rule nary_cong :premises (@p88 @p104) :args ((or @t161 (not (and @t97 @t96 @t95))))) % 34.17/34.49 (step @p106 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96 @t95))) % 34.17/34.49 (step @p107 :rule trans :premises (@p106 @p105)) % 34.17/34.49 (step @p108 :rule nary_cong :premises (@p89 @p107) :args ((or @t162 (not (and @t98 @t97 @t96 @t95))))) % 34.17/34.49 (step @p109 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97 @t96 @t95))) % 34.17/34.49 (step @p110 :rule trans :premises (@p109 @p108)) % 34.17/34.49 (step @p111 :rule nary_cong :premises (@p90 @p110) :args ((or @t163 (not (and @t99 @t98 @t97 @t96 @t95))))) % 34.17/34.49 (step @p112 :rule bool-and-de-morgan :args (@t100 @t99 (and @t98 @t97 @t96 @t95))) % 34.17/34.49 (step @p113 :rule trans :premises (@p112 @p111)) % 34.17/34.49 (step @p114 :rule trans :premises (@p113 @p100)) % 34.17/34.49 (step @p115 :rule nary_cong :premises (@p114 @p99) :args ((or (not @t101) @t171))) % 34.17/34.49 (step @p116 :rule trans :premises (@p115 @p98)) % 34.17/34.49 (step @p117 :rule bool-impl-elim :args (@t101 @t171)) % 34.17/34.49 (step @p118 :rule trans :premises (@p117 @p116)) % 34.17/34.49 (step @p119 :rule cong :premises (@p118) :args ((forall @t51 (=> @t101 @t171)))) % 34.17/34.49 (step @p120 :rule trans :premises (@p119 @p97)) % 34.17/34.49 (step @p121 :rule bool-impl-elim :args (@t139 @t138)) % 34.17/34.49 (step @p122 :rule cong :premises (@p121) :args (@t141)) % 34.17/34.49 (step @p123 :rule refl :args (@t101)) % 34.17/34.49 (step @p124 :rule cong :premises (@p123 @p122) :args (@t142)) % 34.17/34.49 (step @p125 :rule cong :premises (@p124) :args (@t143)) % 34.17/34.49 (step @p126 :rule trans :premises (@p125 @p120)) % 34.17/34.49 (step @p127 :rule eq_resolve :premises (@p52 @p126)) % 34.17/34.49 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t194 @t193 @t192 @t190 @t189 @t188))) % 34.17/34.49 (step @p129 :rule eq-symm :args (@t196 @t197)) % 34.17/34.49 (step @p130 :rule refl :args (@t150)) % 34.17/34.49 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t150 @t198))) % 34.17/34.49 (assume-push @p821 @t150) % 34.17/34.49 (step @p133 :rule instantiate :premises (@p71) :args ((@list @t195 @t194 @t192))) % 34.17/34.49 (step-pop @p822 :rule scope :premises (@p133)) % 34.17/34.49 (step @p134 :rule process_scope :premises (@p822) :args (@t198)) % 34.17/34.49 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 34.17/34.49 (step @p137 :rule implies_elim :premises (@p136)) % 34.17/34.49 (step @p138 :rule chain_m_resolution :premises (@p137 @p71) :args (@t199 @t200 @t201)) % 34.17/34.49 (step @p139 :rule bool-impl-elim :args (@t60 @t124)) % 34.17/34.49 (step @p140 :rule cong :premises (@p139) :args (@t125)) % 34.17/34.49 (step @p141 :rule eq_resolve :premises (@p28 @p140)) % 34.17/34.49 (step @p142 :rule instantiate :premises (@p141) :args (@t202)) % 34.17/34.49 (step @p143 :rule bool-impl-elim :args (@t22 @t109)) % 34.17/34.49 (step @p144 :rule cong :premises (@p143) :args (@t110)) % 34.17/34.49 (step @p145 :rule eq_resolve :premises (@p23 @p144)) % 34.17/34.49 (step @p146 :rule instantiate :premises (@p145) :args (@t202)) % 34.17/34.49 (step @p147 :rule aci_norm :args ((= @t204 @t184))) % 34.17/34.49 (step @p148 :rule cong :premises (@p147) :args (@t205)) % 34.17/34.49 (step @p149 :rule quant-merge-prenex :args ((= (forall @t28 @t207) @t205))) % 34.17/34.49 (step @p150 :rule alpha_equiv :args (@t208 (@list @t174 @t175) (@list @t1 @t209))) % 34.17/34.49 (step @p151 :rule refl :args (@t182)) % 34.17/34.49 (step @p152 :rule refl :args (@t183)) % 34.17/34.49 (step @p153 :rule refl :args (@t24)) % 34.17/34.49 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150) :args (@t210)) % 34.17/34.49 (step @p155 :rule quant-miniscope-or :args ((= @t207 @t210))) % 34.17/34.49 (step @p156 :rule trans :premises (@p155 @p154)) % 34.17/34.49 (step @p157 :rule symm :premises (@p156)) % 34.17/34.49 (step @p158 :rule cong :premises (@p157) :args ((forall @t28 @t219))) % 34.17/34.49 (step @p159 :rule trans :premises (@p158 @p149)) % 34.17/34.49 (step @p160 :rule trans :premises (@p159 @p148)) % 34.17/34.49 (step @p161 :rule aci_norm :args ((= (or @t220 @t218) @t219))) % 34.17/34.49 (step @p162 :rule refl :args (@t218)) % 34.17/34.49 (step @p163 :rule bool-double-not-elim :args (@t24)) % 34.17/34.49 (step @p164 :rule nary_cong :premises (@p163 @p152 @p151) :args (@t222)) % 34.17/34.49 (step @p165 :rule aci_norm :args ((= (or @t221 (or @t183 @t182)) @t222))) % 34.17/34.49 (step @p166 :rule trans :premises (@p165 @p164)) % 34.17/34.49 (step @p167 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 34.17/34.49 (step 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:rule reordering :premises (@p580) :args ((or @t415 (not @t416)))) % 34.17/34.49 (step @p582 :rule chain_m_resolution :premises (@p581 @p579) :args (@t415 @t200 (@list @t416))) % 34.17/34.49 (step @p583 :rule cnf_or_pos :args (@t422)) % 34.17/34.49 (step @p584 :rule reordering :premises (@p583) :args ((or @t248 @t420 @t421 @t407 @t405 @t419 (not @t422)))) % 34.17/34.49 (step @p585 :rule chain_m_resolution :premises (@p584 @p488 @p582 @p575 @p552 @p546 @p327) :args (@t419 @t423 (@list @t248 @t415 @t412 @t406 @t400 @t422))) % 34.17/34.49 (step @p586 :rule aci_norm :args ((= (or @t297 @t57) (or @t24 @t296 @t295 @t294 @t293 @t57)))) % 34.17/34.49 (step @p587 :rule refl :args (@t57)) % 34.17/34.49 (step @p588 :rule nary_cong :premises (@p320 @p587) :args ((or @t299 @t57))) % 34.17/34.49 (step @p589 :rule trans :premises (@p588 @p586)) % 34.17/34.49 (step @p590 :rule bool-impl-elim :args (@t61 @t57)) % 34.17/34.49 (step @p591 :rule trans :premises (@p590 @p589)) % 34.17/34.49 (step @p592 :rule cong :premises (@p591) :args (@t62)) % 34.17/34.49 (step @p593 :rule eq_resolve :premises (@p11 @p592)) % 34.17/34.49 (step @p594 :rule instantiate :premises (@p593) :args (@t424)) % 34.17/34.49 (step @p595 :rule true_intro :premises (@p546)) % 34.17/34.49 (step @p596 :rule refl :args (@t304)) % 34.17/34.49 (step @p597 :rule cong :premises (@p596 @p297) :args (@t425)) % 34.17/34.49 (step @p598 :rule trans :premises (@p597 @p595)) % 34.17/34.49 (step @p599 :rule true_elim :premises (@p598)) % 34.17/34.49 (step @p600 :rule true_intro :premises (@p552)) % 34.17/34.49 (step @p601 :rule refl :args (@t305)) % 34.17/34.49 (step @p602 :rule cong :premises (@p601 @p297) :args (@t426)) % 34.17/34.49 (step @p603 :rule trans :premises (@p602 @p600)) % 34.17/34.49 (step @p604 :rule true_elim :premises (@p603)) % 34.17/34.49 (step @p605 :rule instantiate :premises (@p568) :args (@t202)) % 34.17/34.49 (step @p606 :rule cnf_or_pos :args (@t429)) % 34.17/34.49 (step @p607 :rule reordering :premises (@p606) :args ((or @t252 @t251 @t249 @t428 (not @t429)))) % 34.17/34.49 (step @p608 :rule chain_m_resolution :premises (@p607 @p455 @p453 @p233 @p605) :args (@t428 @t396 (@list @t252 @t250 @t237 @t429))) % 34.17/34.49 (step @p609 :rule cnf_and_pos :args (@t428 3)) % 34.17/34.49 (step @p610 :rule reordering :premises (@p609) :args ((or @t427 (not @t428)))) % 34.17/34.49 (step @p611 :rule chain_m_resolution :premises (@p610 @p608) :args (@t427 @t200 (@list @t428))) % 34.17/34.49 (step @p612 :rule cnf_or_pos :args (@t436)) % 34.17/34.49 (step @p613 :rule reordering :premises (@p612) :args ((or @t252 @t266 @t435 @t434 @t433 @t432 (not @t436)))) % 34.17/34.49 (step @p614 :rule chain_m_resolution :premises (@p613 @p455 @p239 @p611 @p604 @p599 @p594) :args (@t432 @t423 (@list @t252 @t257 @t427 @t426 @t425 @t436))) % 34.17/34.49 (step @p615 :rule aci_norm :args ((= @t443 (or @t24 @t295 @t441 @t440 @t439)))) % 34.17/34.49 (step @p616 :rule cong :premises (@p615) :args (@t444)) % 34.17/34.49 (step @p617 :rule quant-merge-prenex :args ((= (forall @t28 @t446) @t444))) % 34.17/34.49 (step @p618 :rule alpha_equiv :args (@t447 (@list @t438 @t437) (@list @t1 @t448))) % 34.17/34.49 (step @p619 :rule nary_cong :premises (@p153 @p305 @p618) :args (@t449)) % 34.17/34.49 (step @p620 :rule quant-miniscope-or :args ((= @t446 @t449))) % 34.17/34.49 (step @p621 :rule trans :premises (@p620 @p619)) % 34.17/34.49 (step @p622 :rule symm :premises (@p621)) % 34.17/34.49 (step @p623 :rule cong :premises (@p622) :args ((forall @t28 @t455))) % 34.17/34.49 (step @p624 :rule trans :premises (@p623 @p617)) % 34.17/34.49 (step @p625 :rule trans :premises (@p624 @p616)) % 34.17/34.49 (step @p626 :rule aci_norm :args ((= (or (or @t24 @t295) @t454) @t455))) % 34.17/34.49 (step @p627 :rule refl :args (@t454)) % 34.17/34.49 (step @p628 :rule nary_cong :premises (@p163 @p305) :args ((or @t221 @t295))) % 34.17/34.49 (step @p629 :rule bool-and-de-morgan :args (@t25 @t60 true)) % 34.17/34.49 (step @p630 :rule trans :premises (@p629 @p628)) % 34.17/34.49 (step @p631 :rule nary_cong :premises (@p630 @p627) :args ((or (not @t88) @t454))) % 34.17/34.49 (step @p632 :rule trans :premises (@p631 @p626)) % 34.17/34.49 (step @p633 :rule bool-impl-elim :args (@t88 @t454)) % 34.17/34.49 (step @p634 :rule trans :premises (@p633 @p632)) % 34.17/34.49 (step @p635 :rule cong :premises (@p634) :args ((forall @t28 (=> @t88 @t454)))) % 34.17/34.49 (step @p636 :rule trans :premises (@p635 @p625)) % 34.17/34.49 (step @p637 :rule aci_norm :args ((= @t457 @t452))) % 34.17/34.49 (step @p638 :rule cong :premises (@p637) :args (@t458)) % 34.17/34.49 (step @p639 :rule quant-merge-prenex :args ((= (forall @t20 @t460) @t458))) % 34.17/34.49 (step @p640 :rule alpha_equiv :args (@t461 (@list @t448) @t230)) % 34.17/34.49 (step @p641 :rule nary_cong :premises (@p304 @p640) :args (@t462)) % 34.17/34.49 (step @p642 :rule quant-miniscope-or :args ((= @t460 @t462))) % 34.17/34.49 (step @p643 :rule trans :premises (@p642 @p641)) % 34.17/34.49 (step @p644 :rule symm :premises (@p643)) % 34.17/34.49 (step @p645 :rule cong :premises (@p644) :args ((forall @t20 (or @t294 @t463)))) % 34.17/34.49 (step @p646 :rule trans :premises (@p645 @p639)) % 34.17/34.49 (step @p647 :rule trans :premises (@p646 @p638)) % 34.17/34.49 (step @p648 :rule bool-impl-elim :args (@t59 @t463)) % 34.17/34.49 (step @p649 :rule cong :premises (@p648) :args ((forall @t20 (=> @t59 @t463)))) % 34.17/34.49 (step @p650 :rule trans :premises (@p649 @p647)) % 34.17/34.49 (step @p651 :rule bool-impl-elim :args (@t58 @t84)) % 34.17/34.49 (step @p652 :rule cong :premises (@p651) :args (@t85)) % 34.17/34.49 (step @p653 :rule refl :args (@t59)) % 34.17/34.49 (step @p654 :rule cong :premises (@p653 @p652) :args (@t86)) % 34.17/34.49 (step @p655 :rule cong :premises (@p654) :args (@t87)) % 34.17/34.49 (step @p656 :rule trans :premises (@p655 @p650)) % 34.17/34.49 (step @p657 :rule refl :args (@t88)) % 34.17/34.49 (step @p658 :rule cong :premises (@p657 @p656) :args (@t89)) % 34.17/34.49 (step @p659 :rule cong :premises (@p658) :args (@t90)) % 34.17/34.49 (step @p660 :rule trans :premises (@p659 @p636)) % 34.17/34.49 (step @p661 :rule eq_resolve :premises (@p14 @p660)) % 34.17/34.49 (step @p662 :rule instantiate :premises (@p661) :args (@t306)) % 34.17/34.49 (step @p663 :rule cnf_or_pos :args (@t465)) % 34.17/34.49 (step @p664 :rule reordering :premises (@p663) :args ((or @t248 @t420 @t407 @t405 @t464 (not @t465)))) % 34.17/34.49 (step @p665 :rule chain_m_resolution :premises (@p664 @p488 @p582 @p552 @p546 @p662) :args (@t464 @t368 (@list @t248 @t415 @t406 @t400 @t465))) % 34.17/34.49 (step @p666 :rule instantiate :premises (@p661) :args (@t424)) % 34.17/34.49 (step @p667 :rule cnf_or_pos :args (@t469)) % 34.17/34.49 (step @p668 :rule reordering :premises (@p667) :args ((or @t252 @t266 @t434 @t433 @t468 (not @t469)))) % 34.17/34.49 (step @p669 :rule chain_m_resolution :premises (@p668 @p455 @p239 @p604 @p599 @p666) :args (@t468 @t368 (@list @t252 @t257 @t426 @t425 @t469))) % 34.17/34.49 (step @p670 :rule instantiate :premises (@p326) :args (@t424)) % 34.17/34.49 (step @p671 :rule cnf_or_pos :args (@t471)) % 34.17/34.49 (step @p672 :rule reordering :premises (@p671) :args ((or @t252 @t266 @t435 @t434 @t433 @t470 (not @t471)))) % 34.17/34.49 (step @p673 :rule chain_m_resolution :premises (@p672 @p455 @p239 @p611 @p604 @p599 @p670) :args (@t470 @t423 (@list @t252 @t257 @t427 @t426 @t425 @t471))) % 34.17/34.49 (step @p674 :rule cnf_or_neg :args (@t408 2)) % 34.17/34.49 (step @p675 :rule chain_m_resolution :premises (@p674 @p539) :args ((not @t404) @t254 @t409)) % 34.17/34.49 (step @p676 :rule cnf_equiv_neg2 :args (@t404)) % 34.17/34.49 (step @p677 :rule instantiate :premises (@p388) :args (@t349)) % 34.17/34.49 (step @p678 :rule cnf_or_pos :args (@t476)) % 34.17/34.49 (step @p679 :rule reordering :premises (@p678) :args ((or @t252 @t251 @t249 @t364 @t475 @t474 (not @t476)))) % 34.17/34.49 (step @p680 :rule chain_m_resolution :premises (@p679 @p455 @p453 @p233 @p474 @p464 @p677) :args (@t474 @t381 (@list @t252 @t250 @t237 @t364 @t371 @t476))) % 34.17/34.49 (step @p681 :rule eq-symm :args (@t473 @t240)) % 34.17/34.49 (step @p682 :rule refl :args (@t249)) % 34.17/34.49 (step @p683 :rule refl :args (@t251)) % 34.17/34.49 (step @p684 :rule refl :args (@t252)) % 34.17/34.49 (step @p685 :rule nary_cong :premises (@p684 @p683 @p682 @p681) :args (@t477)) % 34.17/34.49 (step @p686 :rule cong :premises (@p519 @p685) :args ((=> @t385 @t477))) % 34.17/34.49 (assume-push @p827 @t385) % 34.17/34.49 (step @p688 :rule instantiate :premises (@p513) :args (@t349)) % 34.17/34.49 (step-pop @p828 :rule scope :premises (@p688)) % 34.17/34.49 (step @p689 :rule process_scope :premises (@p828) :args (@t477)) % 34.17/34.49 (step @p691 :rule eq_resolve :premises (@p689 @p686)) % 34.17/34.49 (step @p692 :rule implies_elim :premises (@p691)) % 34.17/34.49 (step @p693 :rule chain_m_resolution :premises (@p692 @p513) :args (@t479 @t200 @t395)) % 34.17/34.49 (step @p694 :rule cnf_or_pos :args (@t479)) % 34.17/34.49 (step @p695 :rule reordering :premises (@p694) :args ((or @t252 @t251 @t249 @t478 (not @t479)))) % 34.17/34.49 (step @p696 :rule chain_m_resolution :premises (@p695 @p455 @p453 @p233 @p693) :args (@t478 @t396 (@list @t252 @t250 @t237 @t479))) % 34.17/34.49 (step @p697 :rule cnf_equiv_pos1 :args (@t478)) % 34.17/34.49 (step @p698 :rule reordering :premises (@p697) :args ((or @t241 @t473 (not @t478)))) % 34.17/34.49 (step @p699 :rule chain_m_resolution :premises (@p698 @p447 @p696) :args (@t473 @t260 (@list @t240 @t478))) % 34.17/34.49 (step @p700 :rule cnf_equiv_pos1 :args (@t474)) % 34.17/34.49 (step @p701 :rule reordering :premises (@p700) :args ((or (not @t473) @t472 (not @t474)))) % 34.17/34.49 (step @p702 :rule chain_m_resolution :premises (@p701 @p699 @p680) :args (@t472 @t260 (@list @t473 @t474))) % 34.17/34.49 (step @p703 :rule instantiate :premises (@p702) :args ((@list @t305 @t304))) % 34.17/34.49 (step @p704 :rule cnf_or_pos :args (@t482)) % 34.17/34.49 (step @p705 :rule reordering :premises (@p704) :args ((or @t434 @t433 @t481 (not @t482)))) % 34.17/34.49 (step @p706 :rule chain_m_resolution :premises (@p705 @p604 @p599 @p703) :args (@t481 (@list false false false) (@list @t426 @t425 @t482))) % 34.17/34.49 (step @p707 :rule cnf_equiv_pos1 :args (@t481)) % 34.17/34.49 (step @p708 :rule reordering :premises (@p707) :args ((or @t484 @t480 @t483))) % 34.17/34.49 (step @p709 :rule refl :args (@t485)) % 34.17/34.49 (step @p710 :rule refl :args (@t486)) % 34.17/34.49 (step @p711 :rule refl :args (@t487)) % 34.17/34.49 (step @p712 :rule refl :args (@t488)) % 34.17/34.49 (step @p713 :rule refl :args (@t489)) % 34.17/34.49 (step @p714 :rule refl :args (@t490)) % 34.17/34.49 (step @p715 :rule bool-double-not-elim :args (@t402)) % 34.17/34.49 (step @p716 :rule refl :args (@t491)) % 34.17/34.49 (step @p717 :rule refl :args (@t492)) % 34.17/34.49 (step @p718 :rule nary_cong :premises (@p717 @p716 @p715 @p714 @p713 @p712 @p711 @p710 @p709) :args ((or @t492 @t491 (not @t493) @t490 @t489 @t488 @t487 @t486 @t485))) % 34.17/34.49 (assume-push @p829 @t282) % 34.17/34.49 (assume-push @p830 @t281) % 34.17/34.49 (assume-push @p831 @t493) % 34.17/34.49 (assume-push @p832 @t432) % 34.17/34.49 (assume-push @p833 @t419) % 34.17/34.49 (assume-push @p834 @t464) % 34.17/34.49 (assume-push @p835 @t468) % 34.17/34.49 (assume-push @p836 @t470) % 34.17/34.49 (assume-push @p837 @t493) % 34.17/34.49 (assume-push @p838 @t419) % 34.17/34.49 (assume-push @p839 @t464) % 34.17/34.49 (assume-push @p840 @t282) % 34.17/34.49 (assume-push @p841 @t281) % 34.17/34.49 (assume-push @p842 @t468) % 34.17/34.49 (assume-push @p843 @t470) % 34.17/34.49 (assume-push @p844 @t432) % 34.17/34.49 (step @p735 :rule false_intro :premises (@p831)) % 34.17/34.49 (step @p736 :rule symm :premises (@p585)) % 34.17/34.49 (step @p737 :rule symm :premises (@p665)) % 34.17/34.49 (step @p738 :rule cong :premises (@p297 @p297 @p297 @p300 @p601 @p596) :args (@t466)) % 34.17/34.49 (step @p739 :rule trans :premises (@p673 @p669 @p738 @p737 @p736)) % 34.17/34.49 (step @p740 :rule symm :premises (@p614)) % 34.17/34.49 (step @p741 :rule trans :premises (@p740 @p739)) % 34.17/34.49 (step @p742 :rule cong :premises (@p741 @p468) :args (@t494)) % 34.17/34.49 (step @p743 :rule cong :premises (@p614 @p468) :args (@t480)) % 34.17/34.49 (step @p744 :rule trans :premises (@p743 @p742 @p735)) % 34.17/34.49 (step @p745 :rule false_elim :premises (@p744)) % 34.17/34.49 (step-pop @p845 :rule scope :premises (@p745)) % 34.17/34.49 (step-pop @p846 :rule scope :premises (@p845)) % 34.17/34.49 (step-pop @p847 :rule scope :premises (@p846)) % 34.17/34.49 (step-pop @p848 :rule scope :premises (@p847)) % 34.17/34.49 (step-pop @p849 :rule scope :premises (@p848)) % 34.17/34.49 (step-pop @p850 :rule scope :premises (@p849)) % 34.17/34.49 (step-pop @p851 :rule scope :premises (@p850)) % 34.17/34.49 (step-pop @p852 :rule scope :premises (@p851)) % 34.17/34.49 (step @p746 :rule process_scope :premises (@p852) :args (@t485)) % 34.17/34.49 (step @p755 :rule and_intro :premises (@p831 @p585 @p665 @p297 @p300 @p669 @p673 @p614)) % 34.17/34.49 (step @p756 :rule modus_ponens :premises (@p755 @p746)) % 34.17/34.49 (step-pop @p853 :rule scope :premises (@p756)) % 34.17/34.49 (step-pop @p854 :rule scope :premises (@p853)) % 34.17/34.49 (step-pop @p855 :rule scope :premises (@p854)) % 34.17/34.49 (step-pop @p856 :rule scope :premises (@p855)) % 34.17/34.49 (step-pop @p857 :rule scope :premises (@p856)) % 34.17/34.49 (step-pop @p858 :rule scope :premises (@p857)) % 34.17/34.49 (step-pop @p859 :rule scope :premises (@p858)) % 34.17/34.49 (step-pop @p860 :rule scope :premises (@p859)) % 34.17/34.49 (step @p757 :rule process_scope :premises (@p860) :args (@t485)) % 34.17/34.49 (step @p766 :rule implies_elim :premises (@p757)) % 34.17/34.49 (step @p767 :rule cnf_and_neg :args (@t495)) % 34.17/34.49 (step @p768 :rule resolution :premises (@p767 @p766) :args (true @t495)) % 34.17/34.49 (step @p769 :rule eq_resolve :premises (@p768 @p718)) % 34.17/34.49 (step @p770 :rule chain_m_resolution :premises (@p769 @p673 @p669 @p665 @p614 @p585 @p300 @p297 @p708 @p706 @p676 @p675) :args (@t484 (@list false false false false false false false false false true true) (@list @t470 @t468 @t464 @t432 @t419 @t281 @t282 @t480 @t481 @t402 @t404))) % 34.17/34.49 (step @p771 :rule cnf_equiv_neg1 :args (@t404)) % 34.17/34.49 (step @p772 :rule reordering :premises (@p771) :args ((or @t403 @t402 @t404))) % 34.17/34.49 (step @p773 :rule chain_m_resolution :premises (@p772 @p770 @p675) :args (@t402 (@list true true) (@list @t403 @t404))) % 34.17/34.49 (step @p774 :rule cnf_equiv_pos2 :args (@t481)) % 34.17/34.49 (step @p775 :rule reordering :premises (@p774) :args ((or @t403 @t485 @t483))) % 34.17/34.49 (step @p776 :rule chain_m_resolution :premises (@p775 @p770 @p706) :args (@t485 @t398 (@list @t403 @t481))) % 34.17/34.49 (assume-push @p861 @t282) % 34.17/34.49 (assume-push @p862 @t281) % 34.17/34.49 (assume-push @p863 @t402) % 34.17/34.49 (assume-push @p864 @t432) % 34.17/34.49 (assume-push @p865 @t419) % 34.17/34.49 (assume-push @p866 @t464) % 34.17/34.49 (assume-push @p867 @t468) % 34.17/34.49 (assume-push @p868 @t470) % 34.17/34.49 (assume-push @p869 @t402) % 34.17/34.49 (assume-push @p870 @t419) % 34.17/34.49 (assume-push @p871 @t464) % 34.17/34.49 (assume-push @p872 @t282) % 34.17/34.49 (assume-push @p873 @t281) % 34.17/34.49 (assume-push @p874 @t468) % 34.17/34.49 (assume-push @p875 @t470) % 34.17/34.49 (assume-push @p876 @t432) % 34.17/34.49 (step @p793 :rule true_intro :premises (@p863)) % 34.17/34.49 (step @p736 :rule symm :premises (@p585)) % 34.17/34.49 (step @p737 :rule symm :premises (@p665)) % 34.17/34.49 (step @p738 :rule cong :premises (@p297 @p297 @p297 @p300 @p601 @p596) :args (@t466)) % 34.17/34.49 (step @p739 :rule trans :premises (@p673 @p669 @p738 @p737 @p736)) % 34.17/34.49 (step @p740 :rule symm :premises (@p614)) % 34.17/34.49 (step @p741 :rule trans :premises (@p740 @p739)) % 34.17/34.49 (step @p742 :rule cong :premises (@p741 @p468) :args (@t494)) % 34.17/34.49 (step @p743 :rule cong :premises (@p614 @p468) :args (@t480)) % 34.17/34.49 (step @p794 :rule trans :premises (@p743 @p742 @p793)) % 34.17/34.49 (step @p795 :rule true_elim :premises (@p794)) % 34.17/34.49 (step-pop @p877 :rule scope :premises (@p795)) % 34.17/34.49 (step-pop @p878 :rule scope :premises (@p877)) % 34.17/34.49 (step-pop @p879 :rule scope :premises (@p878)) % 34.17/34.49 (step-pop @p880 :rule scope :premises (@p879)) % 34.17/34.49 (step-pop @p881 :rule scope :premises (@p880)) % 34.17/34.49 (step-pop @p882 :rule scope :premises (@p881)) % 34.17/34.49 (step-pop @p883 :rule scope :premises (@p882)) % 34.17/34.49 (step-pop @p884 :rule scope :premises (@p883)) % 34.17/34.49 (step @p796 :rule process_scope :premises (@p884) :args (@t480)) % 34.17/34.49 (step @p805 :rule and_intro :premises (@p863 @p585 @p665 @p297 @p300 @p669 @p673 @p614)) % 34.17/34.49 (step @p806 :rule modus_ponens :premises (@p805 @p796)) % 34.17/34.49 (step-pop @p885 :rule scope :premises (@p806)) % 34.17/34.49 (step-pop @p886 :rule scope :premises (@p885)) % 34.17/34.49 (step-pop @p887 :rule scope :premises (@p886)) % 34.17/34.49 (step-pop @p888 :rule scope :premises (@p887)) % 34.17/34.49 (step-pop @p889 :rule scope :premises (@p888)) % 34.17/34.49 (step-pop @p890 :rule scope :premises (@p889)) % 34.17/34.49 (step-pop @p891 :rule scope :premises (@p890)) % 34.17/34.49 (step-pop @p892 :rule scope :premises (@p891)) % 34.17/34.49 (step @p807 :rule process_scope :premises (@p892) :args (@t480)) % 34.17/34.49 (step @p816 :rule implies_elim :premises (@p807)) % 34.17/34.49 (step @p817 :rule cnf_and_neg :args (@t496)) % 34.17/34.49 (step @p818 :rule resolution :premises (@p817 @p816) :args (true @t496)) % 34.17/34.49 (step @p819 :rule reordering :premises (@p818) :args ((or @t492 @t491 @t493 @t490 @t489 @t480 @t488 @t487 @t486))) % 34.17/34.49 (step @p820 false :rule chain_m_resolution :premises (@p819 @p776 @p773 @p673 @p669 @p665 @p614 @p585 @p300 @p297) :args (false (@list true false false false false false false false false) (@list @t480 @t402 @t470 @t468 @t464 @t432 @t419 @t281 @t282))) % 34.17/34.49 ) % 34.17/34.49 % SZS output end Proof % 34.17/34.49 % cvc5 exiting %------------------------------------------------------------------------------