%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT307+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:30:13 AM UTC 2026 % Result : Theorem 35.74s 36.01s % Output : Proof 35.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT307+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 06:21:13 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 35.74/36.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.74/36.01 --- Run --no-e-matching --full-saturate-quant at 6... % 35.74/36.01 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.74/36.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.74/36.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.74/36.01 % SZS status Theorem % 35.74/36.01 % SZS output start Proof % 35.74/36.01 ( % 35.74/36.01 (declare-sort $$unsorted 0) % 35.74/36.01 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v1_filter_0 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.k1_xboole_0 $$unsorted) % 35.74/36.01 (declare-const tptp.k15_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.k8_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.k14_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 35.74/36.01 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.r2_filter_2 (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 35.74/36.01 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 35.74/36.01 (define @t1 () (@var "C" $$unsorted)) % 35.74/36.01 (define @t2 () (@var "A" $$unsorted)) % 35.74/36.01 (define @t3 () (tptp.r2_filter_2 @t2 @t1)) % 35.74/36.01 (define @t4 () (@var "B" $$unsorted)) % 35.74/36.01 (define @t5 () (tptp.r1_tarski @t4 @t1)) % 35.74/36.01 (define @t6 () (not (and @t5 @t3))) % 35.74/36.01 (define @t7 () (tptp.m2_filter_2 @t1 @t2)) % 35.74/36.01 (define @t8 () (@list @t1)) % 35.74/36.01 (define @t9 () (forall @t8 (=> @t7 @t6))) % 35.74/36.01 (define @t10 () (tptp.u1_struct_0 @t2)) % 35.74/36.01 (define @t11 () (= @t4 @t10)) % 35.74/36.01 (define @t12 () (not @t11)) % 35.74/36.01 (define @t13 () (and @t12 @t9)) % 35.74/36.01 (define @t14 () (not @t13)) % 35.74/36.01 (define @t15 () (tptp.m2_filter_2 @t4 @t2)) % 35.74/36.01 (define @t16 () (=> @t15 @t14)) % 35.74/36.01 (define @t17 () (@list @t4)) % 35.74/36.01 (define @t18 () (forall @t17 @t16)) % 35.74/36.01 (define @t19 () (tptp.v14_lattices @t2)) % 35.74/36.01 (define @t20 () (=> @t19 @t18)) % 35.74/36.01 (define @t21 () (tptp.l3_lattices @t2)) % 35.74/36.01 (define @t22 () (tptp.v10_lattices @t2)) % 35.74/36.01 (define @t23 () (tptp.v3_struct_0 @t2)) % 35.74/36.01 (define @t24 () (not @t23)) % 35.74/36.01 (define @t25 () (and @t24 @t22 @t21)) % 35.74/36.01 (define @t26 () (=> @t25 @t20)) % 35.74/36.01 (define @t27 () (@list @t2)) % 35.74/36.01 (define @t28 () (forall @t27 @t26)) % 35.74/36.01 (define @t29 () (not @t28)) % 35.74/36.01 (define @t30 () (tptp.u1_lattices @t2)) % 35.74/36.01 (define @t31 () (tptp.u2_lattices @t2)) % 35.74/36.01 (define @t32 () (= @t2 (tptp.g3_lattices @t10 @t31 @t30))) % 35.74/36.01 (define @t33 () (tptp.v3_lattices @t2)) % 35.74/36.01 (define @t34 () (=> @t33 @t32)) % 35.74/36.01 (define @t35 () (forall @t27 (=> @t21 @t34))) % 35.74/36.01 (define @t36 () (tptp.r2_hidden @t2 @t4)) % 35.74/36.01 (define @t37 () (@list @t2 @t4)) % 35.74/36.01 (define @t38 () (tptp.v1_funct_1 @t2)) % 35.74/36.01 (define @t39 () (tptp.v1_xboole_0 @t2)) % 35.74/36.01 (define @t40 () (tptp.v9_lattices @t2)) % 35.74/36.01 (define @t41 () (tptp.v8_lattices @t2)) % 35.74/36.01 (define @t42 () (tptp.v7_lattices @t2)) % 35.74/36.01 (define @t43 () (tptp.v6_lattices @t2)) % 35.74/36.01 (define @t44 () (tptp.v5_lattices @t2)) % 35.74/36.01 (define @t45 () (tptp.v4_lattices @t2)) % 35.74/36.01 (define @t46 () (and @t24 @t45 @t44 @t43 @t42 @t41 @t40)) % 35.74/36.01 (define @t47 () (and @t24 @t22)) % 35.74/36.01 (define @t48 () (tptp.k2_zfmisc_1 @t2 @t4)) % 35.74/36.01 (define @t49 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t48))) % 35.74/36.01 (define @t50 () (@list @t2 @t4 @t1)) % 35.74/36.01 (define @t51 () (tptp.v1_relat_1 @t2)) % 35.74/36.01 (define @t52 () (and @t51 @t38 (tptp.v2_funct_1 @t2))) % 35.74/36.01 (define @t53 () (and @t51 @t39 @t38)) % 35.74/36.01 (define @t54 () (tptp.v15_lattices @t2)) % 35.74/36.01 (define @t55 () (and @t24 @t54)) % 35.74/36.01 (define @t56 () (tptp.v13_lattices @t2)) % 35.74/36.01 (define @t57 () (and @t24 @t56 @t19)) % 35.74/36.01 (define @t58 () (tptp.k1_lattice2 @t2)) % 35.74/36.01 (define @t59 () (= @t58 (tptp.g3_lattices @t10 @t30 @t31))) % 35.74/36.01 (define @t60 () (forall @t27 (=> @t21 @t59))) % 35.74/36.01 (define @t61 () (tptp.k7_filter_2 @t2 @t4)) % 35.74/36.01 (define @t62 () (tptp.k1_zfmisc_1 @t10)) % 35.74/36.01 (define @t63 () (tptp.m1_subset_1 @t4 @t62)) % 35.74/36.01 (define @t64 () (=> @t63 (= @t61 @t4))) % 35.74/36.01 (define @t65 () (forall @t17 @t64)) % 35.74/36.01 (define @t66 () (=> @t25 @t65)) % 35.74/36.01 (define @t67 () (forall @t27 @t66)) % 35.74/36.01 (define @t68 () (tptp.k8_filter_2 @t2 @t4)) % 35.74/36.01 (define @t69 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t58))) % 35.74/36.01 (define @t70 () (tptp.m1_subset_1 @t4 @t69)) % 35.74/36.01 (define @t71 () (=> @t70 (= @t68 @t4))) % 35.74/36.01 (define @t72 () (forall @t17 @t71)) % 35.74/36.01 (define @t73 () (=> @t25 @t72)) % 35.74/36.01 (define @t74 () (forall @t27 @t73)) % 35.74/36.01 (define @t75 () (tptp.g3_lattices @t2 @t4 @t1)) % 35.74/36.01 (define @t76 () (tptp.v3_lattices @t75)) % 35.74/36.01 (define @t77 () (tptp.k2_zfmisc_1 @t2 @t2)) % 35.74/36.01 (define @t78 () (tptp.m1_relset_1 @t1 @t77 @t2)) % 35.74/36.01 (define @t79 () (tptp.v1_funct_2 @t1 @t77 @t2)) % 35.74/36.01 (define @t80 () (tptp.v1_funct_1 @t1)) % 35.74/36.01 (define @t81 () (tptp.m1_relset_1 @t4 @t77 @t2)) % 35.74/36.01 (define @t82 () (tptp.v1_funct_2 @t4 @t77 @t2)) % 35.74/36.01 (define @t83 () (tptp.v1_funct_1 @t4)) % 35.74/36.01 (define @t84 () (and @t83 @t82 @t81 @t80 @t79 @t78)) % 35.74/36.01 (define @t85 () (tptp.k14_filter_2 @t2 @t4)) % 35.74/36.01 (define @t86 () (tptp.m2_filter_2 @t85 @t2)) % 35.74/36.01 (define @t87 () (tptp.m1_filter_0 @t4 @t58)) % 35.74/36.01 (define @t88 () (and @t24 @t22 @t21 @t87)) % 35.74/36.01 (define @t89 () (forall @t37 (=> @t88 @t86))) % 35.74/36.01 (define @t90 () (tptp.k15_filter_2 @t2 @t4)) % 35.74/36.01 (define @t91 () (tptp.m1_filter_2 @t90 @t58)) % 35.74/36.01 (define @t92 () (and @t24 @t22 @t21 @t15)) % 35.74/36.01 (define @t93 () (forall @t37 (=> @t92 @t91))) % 35.74/36.01 (define @t94 () (tptp.v3_lattices @t58)) % 35.74/36.01 (define @t95 () (and @t94 (tptp.l3_lattices @t58))) % 35.74/36.01 (define @t96 () (forall @t27 (=> @t21 @t95))) % 35.74/36.01 (define @t97 () (tptp.l1_struct_0 @t2)) % 35.74/36.01 (define @t98 () (tptp.l1_lattices @t2)) % 35.74/36.01 (define @t99 () (tptp.l2_lattices @t2)) % 35.74/36.01 (define @t100 () (and @t98 @t99)) % 35.74/36.01 (define @t101 () (forall @t27 (=> @t21 @t100))) % 35.74/36.01 (define @t102 () (tptp.v1_xboole_0 @t4)) % 35.74/36.01 (define @t103 () (not @t102)) % 35.74/36.01 (define @t104 () (and @t103 @t63)) % 35.74/36.01 (define @t105 () (tptp.m1_filter_0 @t4 @t2)) % 35.74/36.01 (define @t106 () (forall @t17 (=> @t105 @t104))) % 35.74/36.01 (define @t107 () (=> @t25 @t106)) % 35.74/36.01 (define @t108 () (forall @t27 @t107)) % 35.74/36.01 (define @t109 () (tptp.m2_lattice4 @t4 @t2)) % 35.74/36.01 (define @t110 () (and @t103 @t109)) % 35.74/36.01 (define @t111 () (tptp.m1_filter_2 @t4 @t2)) % 35.74/36.01 (define @t112 () (forall @t17 (=> @t15 @t110))) % 35.74/36.01 (define @t113 () (=> @t25 @t112)) % 35.74/36.01 (define @t114 () (forall @t27 @t113)) % 35.74/36.01 (define @t115 () (forall @t17 (=> @t109 @t63))) % 35.74/36.01 (define @t116 () (=> @t25 @t115)) % 35.74/36.01 (define @t117 () (forall @t27 @t116)) % 35.74/36.01 (define @t118 () (tptp.m2_relset_1 @t1 @t2 @t4)) % 35.74/36.01 (define @t119 () (tptp.k2_zfmisc_1 @t10 @t10)) % 35.74/36.01 (define @t120 () (tptp.v1_funct_2 @t30 @t119 @t10)) % 35.74/36.01 (define @t121 () (tptp.v1_funct_1 @t30)) % 35.74/36.01 (define @t122 () (and @t121 @t120 (tptp.m2_relset_1 @t30 @t119 @t10))) % 35.74/36.01 (define @t123 () (forall @t27 (=> @t98 @t122))) % 35.74/36.01 (define @t124 () (tptp.v1_funct_2 @t31 @t119 @t10)) % 35.74/36.01 (define @t125 () (tptp.v1_funct_1 @t31)) % 35.74/36.01 (define @t126 () (and @t125 @t124 (tptp.m2_relset_1 @t31 @t119 @t10))) % 35.74/36.01 (define @t127 () (forall @t27 (=> @t99 @t126))) % 35.74/36.01 (define @t128 () (tptp.m1_relset_1 @t1 @t2 @t4)) % 35.74/36.01 (define @t129 () (not (tptp.v3_struct_0 @t58))) % 35.74/36.01 (define @t130 () (and @t129 @t94)) % 35.74/36.01 (define @t131 () (and @t24 @t21)) % 35.74/36.01 (define @t132 () (forall @t27 (=> @t131 @t130))) % 35.74/36.01 (define @t133 () (and @t24 @t97)) % 35.74/36.01 (define @t134 () (tptp.k1_zfmisc_1 @t2)) % 35.74/36.01 (define @t135 () (tptp.v1_partfun1 @t31 @t119 @t10)) % 35.74/36.01 (define @t136 () (tptp.v1_relat_1 @t31)) % 35.74/36.01 (define @t137 () (not @t39)) % 35.74/36.01 (define @t138 () (tptp.v1_partfun1 @t30 @t119 @t10)) % 35.74/36.01 (define @t139 () (tptp.v1_relat_1 @t30)) % 35.74/36.01 (define @t140 () (and @t129 @t94 (tptp.v4_lattices @t58) (tptp.v5_lattices @t58) (tptp.v6_lattices @t58) (tptp.v7_lattices @t58) (tptp.v8_lattices @t58) (tptp.v9_lattices @t58) (tptp.v10_lattices @t58))) % 35.74/36.01 (define @t141 () (forall @t27 (=> @t25 @t140))) % 35.74/36.01 (define @t142 () (@var "F" $$unsorted)) % 35.74/36.01 (define @t143 () (@var "E" $$unsorted)) % 35.74/36.01 (define @t144 () (@var "D" $$unsorted)) % 35.74/36.01 (define @t145 () (and (= @t2 @t144) (= @t4 @t143) (= @t1 @t142))) % 35.74/36.01 (define @t146 () (= @t75 (tptp.g3_lattices @t144 @t143 @t142))) % 35.74/36.01 (define @t147 () (@list @t144 @t143 @t142)) % 35.74/36.01 (define @t148 () (forall @t147 (=> @t146 @t145))) % 35.74/36.01 (define @t149 () (=> @t84 @t148)) % 35.74/36.01 (define @t150 () (forall @t50 @t149)) % 35.74/36.01 (define @t151 () (tptp.m1_subset_1 @t4 @t134)) % 35.74/36.01 (define @t152 () (=> @t88 (= @t85 @t68))) % 35.74/36.01 (define @t153 () (forall @t37 @t152)) % 35.74/36.01 (define @t154 () (=> @t92 (= @t90 @t61))) % 35.74/36.01 (define @t155 () (forall @t37 @t154)) % 35.74/36.01 (define @t156 () (forall @t17 (= @t111 @t105))) % 35.74/36.01 (define @t157 () (=> @t25 @t156)) % 35.74/36.01 (define @t158 () (forall @t27 @t157)) % 35.74/36.01 (define @t159 () (tptp.m1_subset_1 @t2 @t4)) % 35.74/36.01 (define @t160 () (tptp.v1_filter_0 @t1 @t2)) % 35.74/36.01 (define @t161 () (not (and @t5 @t160))) % 35.74/36.01 (define @t162 () (tptp.m1_filter_0 @t1 @t2)) % 35.74/36.01 (define @t163 () (forall @t8 (=> @t162 @t161))) % 35.74/36.01 (define @t164 () (and @t12 @t163)) % 35.74/36.01 (define @t165 () (not @t164)) % 35.74/36.01 (define @t166 () (=> @t105 @t165)) % 35.74/36.01 (define @t167 () (forall @t17 @t166)) % 35.74/36.01 (define @t168 () (=> @t56 @t167)) % 35.74/36.01 (define @t169 () (=> @t25 @t168)) % 35.74/36.01 (define @t170 () (forall @t27 @t169)) % 35.74/36.01 (define @t171 () (= (tptp.r2_filter_2 @t2 @t4) (tptp.v1_filter_0 @t90 @t58))) % 35.74/36.01 (define @t172 () (forall @t17 (=> @t15 @t171))) % 35.74/36.01 (define @t173 () (=> @t25 @t172)) % 35.74/36.01 (define @t174 () (forall @t27 @t173)) % 35.74/36.01 (define @t175 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1))) % 35.74/36.01 (define @t176 () (= @t19 (tptp.v13_lattices @t58))) % 35.74/36.01 (define @t177 () (forall @t27 (=> @t25 @t176))) % 35.74/36.01 (define @t178 () (@var "BOUND_VARIABLE_8478" $$unsorted)) % 35.74/36.01 (define @t179 () (= (tptp.r2_filter_2 @t2 @t178) (tptp.v1_filter_0 (tptp.k15_filter_2 @t2 @t178) @t58))) % 35.74/36.01 (define @t180 () (not (tptp.m2_filter_2 @t178 @t2))) % 35.74/36.01 (define @t181 () (not @t21)) % 35.74/36.01 (define @t182 () (not @t22)) % 35.74/36.01 (define @t183 () (or @t180 @t179)) % 35.74/36.01 (define @t184 () (or @t23 @t182 @t181 @t183)) % 35.74/36.01 (define @t185 () (forall (@list @t2 @t178) @t184)) % 35.74/36.01 (define @t186 () (@list @t178)) % 35.74/36.01 (define @t187 () (forall @t186 @t184)) % 35.74/36.01 (define @t188 () (forall @t186 @t183)) % 35.74/36.01 (define @t189 () (@list @t4)) % 35.74/36.01 (define @t190 () (or @t23 @t182 @t181 @t188)) % 35.74/36.01 (define @t191 () (not @t15)) % 35.74/36.01 (define @t192 () (forall @t17 (or @t191 @t171))) % 35.74/36.01 (define @t193 () (or @t23 @t182 @t181 @t192)) % 35.74/36.01 (define @t194 () (or @t23 @t182 @t181)) % 35.74/36.01 (define @t195 () (not @t24)) % 35.74/36.01 (define @t196 () (or @t195 @t182 @t181)) % 35.74/36.01 (define @t197 () (not @t25)) % 35.74/36.01 (define @t198 () (not @t3)) % 35.74/36.01 (define @t199 () (@var "BOUND_VARIABLE_7893" $$unsorted)) % 35.74/36.01 (define @t200 () (not @t7)) % 35.74/36.01 (define @t201 () (not (forall @t8 (or @t200 (not (tptp.r1_tarski @t199 @t1)) @t198)))) % 35.74/36.01 (define @t202 () (not (tptp.m2_filter_2 @t199 @t2))) % 35.74/36.01 (define @t203 () (not @t19)) % 35.74/36.01 (define @t204 () (@list @t2 @t199)) % 35.74/36.01 (define @t205 () (forall @t204 (or @t23 @t182 @t181 @t203 @t202 (= @t10 @t199) @t201))) % 35.74/36.01 (define @t206 () (@quantifiers_skolemize @t205 0)) % 35.74/36.01 (define @t207 () (tptp.k1_lattice2 @t206)) % 35.74/36.01 (define @t208 () (@quantifiers_skolemize @t205 1)) % 35.74/36.01 (define @t209 () (tptp.k15_filter_2 @t206 @t208)) % 35.74/36.01 (define @t210 () (forall @t8 (or (not (tptp.m1_filter_0 @t1 @t207)) (not (tptp.r1_tarski @t209 @t1)) (not (tptp.v1_filter_0 @t1 @t207))))) % 35.74/36.01 (define @t211 () (@quantifiers_skolemize @t210 0)) % 35.74/36.01 (define @t212 () (@list @t206 @t211)) % 35.74/36.01 (define @t213 () (not @t87)) % 35.74/36.01 (define @t214 () (or @t23 @t182 @t181 @t213)) % 35.74/36.01 (define @t215 () (or @t195 @t182 @t181 @t213)) % 35.74/36.01 (define @t216 () (not @t88)) % 35.74/36.01 (define @t217 () (not @t160)) % 35.74/36.01 (define @t218 () (@var "BOUND_VARIABLE_8449" $$unsorted)) % 35.74/36.01 (define @t219 () (not @t162)) % 35.74/36.01 (define @t220 () (not (forall @t8 (or @t219 (not (tptp.r1_tarski @t218 @t1)) @t217)))) % 35.74/36.01 (define @t221 () (not (tptp.m1_filter_0 @t218 @t2))) % 35.74/36.01 (define @t222 () (not @t56)) % 35.74/36.01 (define @t223 () (= @t218 @t10)) % 35.74/36.01 (define @t224 () (or @t23 @t182 @t181 @t222 @t221 @t223 @t220)) % 35.74/36.01 (define @t225 () (or @t221 @t223 @t220)) % 35.74/36.01 (define @t226 () (or @t23 @t182 @t181 @t222 @t225)) % 35.74/36.01 (define @t227 () (@list @t2 @t218)) % 35.74/36.01 (define @t228 () (forall @t227 @t226)) % 35.74/36.01 (define @t229 () (@list @t218)) % 35.74/36.01 (define @t230 () (forall @t229 @t226)) % 35.74/36.01 (define @t231 () (forall @t229 @t225)) % 35.74/36.01 (define @t232 () (or @t23 @t182 @t181 @t222 @t231)) % 35.74/36.01 (define @t233 () (not @t5)) % 35.74/36.01 (define @t234 () (or @t219 @t233 @t217)) % 35.74/36.01 (define @t235 () (forall @t8 @t234)) % 35.74/36.01 (define @t236 () (not @t235)) % 35.74/36.01 (define @t237 () (not @t105)) % 35.74/36.01 (define @t238 () (or @t237 @t11 @t236)) % 35.74/36.01 (define @t239 () (forall @t17 @t238)) % 35.74/36.01 (define @t240 () (or @t23 @t182 @t181 @t222 @t239)) % 35.74/36.01 (define @t241 () (=> @t56 @t239)) % 35.74/36.01 (define @t242 () (not @t12)) % 35.74/36.01 (define @t243 () (not (and @t12 @t235))) % 35.74/36.01 (define @t244 () (not @t210)) % 35.74/36.01 (define @t245 () (tptp.u1_struct_0 @t207)) % 35.74/36.01 (define @t246 () (tptp.m1_filter_0 @t209 @t207)) % 35.74/36.01 (define @t247 () (not @t246)) % 35.74/36.01 (define @t248 () (tptp.v13_lattices @t207)) % 35.74/36.01 (define @t249 () (not @t248)) % 35.74/36.01 (define @t250 () (tptp.l3_lattices @t207)) % 35.74/36.01 (define @t251 () (not @t250)) % 35.74/36.01 (define @t252 () (tptp.v10_lattices @t207)) % 35.74/36.01 (define @t253 () (not @t252)) % 35.74/36.01 (define @t254 () (tptp.v3_struct_0 @t207)) % 35.74/36.01 (define @t255 () (or @t254 @t253 @t251 @t249 @t247 (= @t245 @t209) @t244)) % 35.74/36.01 (define @t256 () (forall @t227 (or @t23 @t182 @t181 @t222 @t221 (= @t10 @t218) @t220))) % 35.74/36.01 (define @t257 () (@list @t207 @t209)) % 35.74/36.01 (define @t258 () (= @t209 @t245)) % 35.74/36.01 (define @t259 () (or @t254 @t253 @t251 @t249 @t247 @t258 @t244)) % 35.74/36.01 (define @t260 () (@list false)) % 35.74/36.01 (define @t261 () (= @t199 @t10)) % 35.74/36.01 (define @t262 () (or @t23 @t182 @t181 @t203 @t202 @t261 @t201)) % 35.74/36.01 (define @t263 () (or @t202 @t261 @t201)) % 35.74/36.01 (define @t264 () (or @t23 @t182 @t181 @t203 @t263)) % 35.74/36.01 (define @t265 () (forall @t204 @t264)) % 35.74/36.01 (define @t266 () (@list @t199)) % 35.74/36.01 (define @t267 () (forall @t266 @t264)) % 35.74/36.01 (define @t268 () (forall @t266 @t263)) % 35.74/36.01 (define @t269 () (or @t23 @t182 @t181 @t203 @t268)) % 35.74/36.01 (define @t270 () (or @t200 @t233 @t198)) % 35.74/36.01 (define @t271 () (forall @t8 @t270)) % 35.74/36.01 (define @t272 () (not @t271)) % 35.74/36.01 (define @t273 () (or @t191 @t11 @t272)) % 35.74/36.01 (define @t274 () (forall @t17 @t273)) % 35.74/36.01 (define @t275 () (or @t23 @t182 @t181 @t203 @t274)) % 35.74/36.01 (define @t276 () (=> @t19 @t274)) % 35.74/36.01 (define @t277 () (not (and @t12 @t271))) % 35.74/36.01 (define @t278 () (forall @t8 (or (not (tptp.m2_filter_2 @t1 @t206)) (not (tptp.r1_tarski @t208 @t1)) (not (tptp.r2_filter_2 @t206 @t1))))) % 35.74/36.01 (define @t279 () (not @t278)) % 35.74/36.01 (define @t280 () (tptp.u1_struct_0 @t206)) % 35.74/36.01 (define @t281 () (= @t208 @t280)) % 35.74/36.01 (define @t282 () (tptp.m2_filter_2 @t208 @t206)) % 35.74/36.01 (define @t283 () (not @t282)) % 35.74/36.01 (define @t284 () (tptp.v14_lattices @t206)) % 35.74/36.01 (define @t285 () (not @t284)) % 35.74/36.01 (define @t286 () (tptp.l3_lattices @t206)) % 35.74/36.01 (define @t287 () (not @t286)) % 35.74/36.01 (define @t288 () (tptp.v10_lattices @t206)) % 35.74/36.01 (define @t289 () (not @t288)) % 35.74/36.01 (define @t290 () (tptp.v3_struct_0 @t206)) % 35.74/36.01 (define @t291 () (or @t290 @t289 @t287 @t285 @t283 @t281 @t279)) % 35.74/36.01 (define @t292 () (not @t291)) % 35.74/36.01 (define @t293 () (not @t205)) % 35.74/36.01 (define @t294 () (or @t290 @t289 @t287 @t285 @t283 (= @t280 @t208) @t279)) % 35.74/36.01 (define @t295 () (not @t294)) % 35.74/36.01 (define @t296 () (@list true)) % 35.74/36.01 (define @t297 () (@list @t291)) % 35.74/36.01 (define @t298 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 35.74/36.01 (define @t299 () (@var "BOUND_VARIABLE_8274" $$unsorted)) % 35.74/36.01 (define @t300 () (@var "BOUND_VARIABLE_8272" $$unsorted)) % 35.74/36.01 (define @t301 () (and (= @t2 @t300) (= @t4 @t299) (= @t1 @t298))) % 35.74/36.01 (define @t302 () (not (= @t75 (tptp.g3_lattices @t300 @t299 @t298)))) % 35.74/36.01 (define @t303 () (not @t78)) % 35.74/36.01 (define @t304 () (not @t79)) % 35.74/36.01 (define @t305 () (not @t80)) % 35.74/36.01 (define @t306 () (not @t81)) % 35.74/36.01 (define @t307 () (not @t82)) % 35.74/36.01 (define @t308 () (not @t83)) % 35.74/36.01 (define @t309 () (or @t302 @t301)) % 35.74/36.01 (define @t310 () (or @t308 @t307 @t306 @t305 @t304 @t303 @t309)) % 35.74/36.01 (define @t311 () (forall (@list @t2 @t4 @t1 @t300 @t299 @t298) @t310)) % 35.74/36.01 (define @t312 () (@list @t300 @t299 @t298)) % 35.74/36.01 (define @t313 () (forall @t312 @t310)) % 35.74/36.01 (define @t314 () (forall @t312 @t309)) % 35.74/36.01 (define @t315 () (or @t308 @t307 @t306 @t305 @t304 @t303 @t314)) % 35.74/36.01 (define @t316 () (forall @t147 (or (not @t146) @t145))) % 35.74/36.01 (define @t317 () (or @t308 @t307 @t306 @t305 @t304 @t303 @t316)) % 35.74/36.01 (define @t318 () (or @t308 @t307 @t306 @t305 @t304 @t303)) % 35.74/36.01 (define @t319 () (tptp.u1_lattices @t207)) % 35.74/36.01 (define @t320 () (tptp.u2_lattices @t207)) % 35.74/36.01 (define @t321 () (tptp.u2_lattices @t206)) % 35.74/36.01 (define @t322 () (tptp.u1_lattices @t206)) % 35.74/36.01 (define @t323 () (not @t33)) % 35.74/36.01 (define @t324 () (@list @t206)) % 35.74/36.01 (define @t325 () (tptp.v3_lattices @t207)) % 35.74/36.01 (define @t326 () (and @t325 @t250)) % 35.74/36.01 (define @t327 () (or @t287 @t326)) % 35.74/36.01 (define @t328 () (@list false false)) % 35.74/36.01 (define @t329 () (not @t254)) % 35.74/36.01 (define @t330 () (and @t329 @t325)) % 35.74/36.01 (define @t331 () (or @t290 @t287 @t330)) % 35.74/36.01 (define @t332 () (not @t330)) % 35.74/36.01 (define @t333 () (@list @t330)) % 35.74/36.01 (define @t334 () (tptp.g3_lattices @t245 @t320 @t319)) % 35.74/36.01 (define @t335 () (= @t207 @t334)) % 35.74/36.01 (define @t336 () (not @t325)) % 35.74/36.01 (define @t337 () (or @t251 @t336 @t335)) % 35.74/36.01 (define @t338 () (@list false false false)) % 35.74/36.01 (define @t339 () (tptp.g3_lattices @t280 @t322 @t321)) % 35.74/36.01 (define @t340 () (= @t207 @t339)) % 35.74/36.01 (define @t341 () (or @t287 @t340)) % 35.74/36.01 (define @t342 () (tptp.k2_zfmisc_1 @t280 @t280)) % 35.74/36.01 (define @t343 () (tptp.l2_lattices @t206)) % 35.74/36.01 (define @t344 () (tptp.l1_lattices @t206)) % 35.74/36.01 (define @t345 () (and @t344 @t343)) % 35.74/36.01 (define @t346 () (or @t287 @t345)) % 35.74/36.01 (define @t347 () (not @t345)) % 35.74/36.01 (define @t348 () (@list @t345)) % 35.74/36.01 (define @t349 () (tptp.m2_relset_1 @t321 @t342 @t280)) % 35.74/36.01 (define @t350 () (tptp.v1_funct_2 @t321 @t342 @t280)) % 35.74/36.01 (define @t351 () (tptp.v1_funct_1 @t321)) % 35.74/36.01 (define @t352 () (and @t351 @t350 @t349)) % 35.74/36.01 (define @t353 () (not @t343)) % 35.74/36.01 (define @t354 () (or @t353 @t352)) % 35.74/36.01 (define @t355 () (not @t352)) % 35.74/36.01 (define @t356 () (@list @t352)) % 35.74/36.01 (define @t357 () (tptp.m1_relset_1 @t321 @t342 @t280)) % 35.74/36.01 (define @t358 () (= @t349 @t357)) % 35.74/36.01 (define @t359 () (tptp.m2_relset_1 @t322 @t342 @t280)) % 35.74/36.01 (define @t360 () (tptp.v1_funct_2 @t322 @t342 @t280)) % 35.74/36.01 (define @t361 () (tptp.v1_funct_1 @t322)) % 35.74/36.01 (define @t362 () (and @t361 @t360 @t359)) % 35.74/36.01 (define @t363 () (not @t344)) % 35.74/36.01 (define @t364 () (or @t363 @t362)) % 35.74/36.01 (define @t365 () (not @t362)) % 35.74/36.01 (define @t366 () (@list @t362)) % 35.74/36.01 (define @t367 () (tptp.m1_relset_1 @t322 @t342 @t280)) % 35.74/36.01 (define @t368 () (= @t359 @t367)) % 35.74/36.01 (define @t369 () (= @t280 @t245)) % 35.74/36.01 (define @t370 () (and @t369 (= @t322 @t320) (= @t321 @t319))) % 35.74/36.01 (define @t371 () (= @t339 @t334)) % 35.74/36.01 (define @t372 () (not @t371)) % 35.74/36.01 (define @t373 () (not @t357)) % 35.74/36.01 (define @t374 () (not @t350)) % 35.74/36.01 (define @t375 () (not @t351)) % 35.74/36.01 (define @t376 () (not @t367)) % 35.74/36.01 (define @t377 () (not @t360)) % 35.74/36.01 (define @t378 () (not @t361)) % 35.74/36.01 (define @t379 () (or @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t370)) % 35.74/36.01 (define @t380 () (@var "BOUND_VARIABLE_7981" $$unsorted)) % 35.74/36.01 (define @t381 () (= @t380 (tptp.k7_filter_2 @t2 @t380))) % 35.74/36.01 (define @t382 () (not (tptp.m1_subset_1 @t380 @t62))) % 35.74/36.01 (define @t383 () (or @t382 @t381)) % 35.74/36.01 (define @t384 () (or @t23 @t182 @t181 @t383)) % 35.74/36.01 (define @t385 () (forall (@list @t2 @t380) @t384)) % 35.74/36.01 (define @t386 () (@list @t380)) % 35.74/36.01 (define @t387 () (forall @t386 @t384)) % 35.74/36.01 (define @t388 () (forall @t386 @t383)) % 35.74/36.01 (define @t389 () (or @t23 @t182 @t181 @t388)) % 35.74/36.01 (define @t390 () (= @t4 @t61)) % 35.74/36.01 (define @t391 () (forall @t17 (or (not @t63) @t390))) % 35.74/36.01 (define @t392 () (or @t23 @t182 @t181 @t391)) % 35.74/36.01 (define @t393 () (@list @t206 @t208)) % 35.74/36.01 (define @t394 () (@var "BOUND_VARIABLE_8135" $$unsorted)) % 35.74/36.01 (define @t395 () (tptp.m1_subset_1 @t394 @t62)) % 35.74/36.01 (define @t396 () (not (tptp.m2_lattice4 @t394 @t2))) % 35.74/36.01 (define @t397 () (or @t396 @t395)) % 35.74/36.01 (define @t398 () (or @t23 @t182 @t181 @t397)) % 35.74/36.01 (define @t399 () (forall (@list @t2 @t394) @t398)) % 35.74/36.01 (define @t400 () (@list @t394)) % 35.74/36.01 (define @t401 () (forall @t400 @t398)) % 35.74/36.01 (define @t402 () (forall @t400 @t397)) % 35.74/36.01 (define @t403 () (or @t23 @t182 @t181 @t402)) % 35.74/36.01 (define @t404 () (forall @t17 (or (not @t109) @t63))) % 35.74/36.01 (define @t405 () (or @t23 @t182 @t181 @t404)) % 35.74/36.01 (define @t406 () (@var "BOUND_VARIABLE_8113" $$unsorted)) % 35.74/36.01 (define @t407 () (and (not (tptp.v1_xboole_0 @t406)) (tptp.m2_lattice4 @t406 @t2))) % 35.74/36.01 (define @t408 () (not (tptp.m2_filter_2 @t406 @t2))) % 35.74/36.01 (define @t409 () (or @t408 @t407)) % 35.74/36.01 (define @t410 () (or @t23 @t182 @t181 @t409)) % 35.74/36.01 (define @t411 () (forall (@list @t2 @t406) @t410)) % 35.74/36.01 (define @t412 () (@list @t406)) % 35.74/36.01 (define @t413 () (forall @t412 @t410)) % 35.74/36.01 (define @t414 () (forall @t412 @t409)) % 35.74/36.01 (define @t415 () (or @t23 @t182 @t181 @t414)) % 35.74/36.01 (define @t416 () (forall @t17 (or @t191 @t110))) % 35.74/36.01 (define @t417 () (or @t23 @t182 @t181 @t416)) % 35.74/36.01 (define @t418 () (tptp.m2_lattice4 @t208 @t206)) % 35.74/36.01 (define @t419 () (and (not (tptp.v1_xboole_0 @t208)) @t418)) % 35.74/36.01 (define @t420 () (or @t290 @t289 @t287 @t283 @t419)) % 35.74/36.01 (define @t421 () (@list true false false false false)) % 35.74/36.01 (define @t422 () (tptp.k1_zfmisc_1 @t280)) % 35.74/36.01 (define @t423 () (tptp.m1_subset_1 @t208 @t422)) % 35.74/36.01 (define @t424 () (not @t418)) % 35.74/36.01 (define @t425 () (or @t290 @t289 @t287 @t424 @t423)) % 35.74/36.01 (define @t426 () (tptp.k7_filter_2 @t206 @t208)) % 35.74/36.01 (define @t427 () (= @t208 @t426)) % 35.74/36.01 (define @t428 () (not @t423)) % 35.74/36.01 (define @t429 () (or @t290 @t289 @t287 @t428 @t427)) % 35.74/36.01 (define @t430 () (= @t61 @t90)) % 35.74/36.01 (define @t431 () (or @t23 @t182 @t181 @t191 @t430)) % 35.74/36.01 (define @t432 () (or @t23 @t182 @t181 @t191)) % 35.74/36.01 (define @t433 () (or @t195 @t182 @t181 @t191)) % 35.74/36.01 (define @t434 () (not @t92)) % 35.74/36.01 (define @t435 () (or @t290 @t289 @t287 @t283 (= @t426 @t209))) % 35.74/36.01 (define @t436 () (forall @t37 @t431)) % 35.74/36.01 (define @t437 () (= @t209 @t426)) % 35.74/36.01 (define @t438 () (or @t290 @t289 @t287 @t283 @t437)) % 35.74/36.01 (define @t439 () (@var "BOUND_VARIABLE_8416" $$unsorted)) % 35.74/36.01 (define @t440 () (= (tptp.m1_filter_0 @t439 @t2) (tptp.m1_filter_2 @t439 @t2))) % 35.74/36.01 (define @t441 () (or @t23 @t182 @t181 @t440)) % 35.74/36.01 (define @t442 () (forall (@list @t2 @t439) @t441)) % 35.74/36.01 (define @t443 () (@list @t439)) % 35.74/36.01 (define @t444 () (forall @t443 @t441)) % 35.74/36.01 (define @t445 () (forall @t443 @t440)) % 35.74/36.01 (define @t446 () (or @t23 @t182 @t181 @t445)) % 35.74/36.01 (define @t447 () (forall @t17 (= @t105 @t111))) % 35.74/36.01 (define @t448 () (or @t23 @t182 @t181 @t447)) % 35.74/36.01 (define @t449 () (tptp.m1_filter_2 @t209 @t207)) % 35.74/36.01 (define @t450 () (or @t254 @t253 @t251 (= @t246 @t449))) % 35.74/36.01 (define @t451 () (= @t449 @t246)) % 35.74/36.01 (define @t452 () (or @t254 @t253 @t251 @t451)) % 35.74/36.01 (define @t453 () (and @t329 @t325 (tptp.v4_lattices @t207) (tptp.v5_lattices @t207) (tptp.v6_lattices @t207) (tptp.v7_lattices @t207) (tptp.v8_lattices @t207) (tptp.v9_lattices @t207) @t252)) % 35.74/36.01 (define @t454 () (or @t290 @t289 @t287 @t453)) % 35.74/36.01 (define @t455 () (@list true false false false)) % 35.74/36.01 (define @t456 () (or @t290 @t289 @t287 @t283 @t449)) % 35.74/36.01 (define @t457 () (= @t284 @t248)) % 35.74/36.01 (define @t458 () (or @t290 @t289 @t287 @t457)) % 35.74/36.01 (define @t459 () (tptp.m1_filter_0 @t211 @t207)) % 35.74/36.01 (define @t460 () (tptp.v1_filter_0 @t211 @t207)) % 35.74/36.01 (define @t461 () (not @t460)) % 35.74/36.01 (define @t462 () (tptp.r1_tarski @t209 @t211)) % 35.74/36.01 (define @t463 () (not @t462)) % 35.74/36.01 (define @t464 () (not @t459)) % 35.74/36.01 (define @t465 () (or @t464 @t463 @t461)) % 35.74/36.01 (define @t466 () (@list @t465)) % 35.74/36.01 (define @t467 () (tptp.k14_filter_2 @t206 @t211)) % 35.74/36.01 (define @t468 () (tptp.m2_filter_2 @t467 @t206)) % 35.74/36.01 (define @t469 () (or @t290 @t289 @t287 @t464 @t468)) % 35.74/36.01 (define @t470 () (= @t68 @t85)) % 35.74/36.01 (define @t471 () (or @t23 @t182 @t181 @t213 @t470)) % 35.74/36.01 (define @t472 () (tptp.k8_filter_2 @t206 @t211)) % 35.74/36.01 (define @t473 () (or @t290 @t289 @t287 @t464 (= @t472 @t467))) % 35.74/36.01 (define @t474 () (forall @t37 @t471)) % 35.74/36.01 (define @t475 () (= @t467 @t472)) % 35.74/36.01 (define @t476 () (or @t290 @t289 @t287 @t464 @t475)) % 35.74/36.01 (define @t477 () (@var "BOUND_VARIABLE_8004" $$unsorted)) % 35.74/36.01 (define @t478 () (= @t477 (tptp.k8_filter_2 @t2 @t477))) % 35.74/36.01 (define @t479 () (not (tptp.m1_subset_1 @t477 @t69))) % 35.74/36.01 (define @t480 () (or @t479 @t478)) % 35.74/36.01 (define @t481 () (or @t23 @t182 @t181 @t480)) % 35.74/36.01 (define @t482 () (forall (@list @t2 @t477) @t481)) % 35.74/36.01 (define @t483 () (@list @t477)) % 35.74/36.01 (define @t484 () (forall @t483 @t481)) % 35.74/36.01 (define @t485 () (forall @t483 @t480)) % 35.74/36.01 (define @t486 () (or @t23 @t182 @t181 @t485)) % 35.74/36.01 (define @t487 () (= @t4 @t68)) % 35.74/36.01 (define @t488 () (forall @t17 (or (not @t70) @t487))) % 35.74/36.01 (define @t489 () (or @t23 @t182 @t181 @t488)) % 35.74/36.01 (define @t490 () (@var "BOUND_VARIABLE_8070" $$unsorted)) % 35.74/36.01 (define @t491 () (and (not (tptp.v1_xboole_0 @t490)) (tptp.m1_subset_1 @t490 @t62))) % 35.74/36.01 (define @t492 () (not (tptp.m1_filter_0 @t490 @t2))) % 35.74/36.01 (define @t493 () (or @t492 @t491)) % 35.74/36.01 (define @t494 () (or @t23 @t182 @t181 @t493)) % 35.74/36.01 (define @t495 () (forall (@list @t2 @t490) @t494)) % 35.74/36.01 (define @t496 () (@list @t490)) % 35.74/36.01 (define @t497 () (forall @t496 @t494)) % 35.74/36.01 (define @t498 () (forall @t496 @t493)) % 35.74/36.01 (define @t499 () (or @t23 @t182 @t181 @t498)) % 35.74/36.01 (define @t500 () (forall @t17 (or @t237 @t104))) % 35.74/36.01 (define @t501 () (or @t23 @t182 @t181 @t500)) % 35.74/36.01 (define @t502 () (tptp.m1_subset_1 @t211 (tptp.k1_zfmisc_1 @t245))) % 35.74/36.01 (define @t503 () (and (not (tptp.v1_xboole_0 @t211)) @t502)) % 35.74/36.01 (define @t504 () (or @t254 @t253 @t251 @t464 @t503)) % 35.74/36.01 (define @t505 () (= @t211 @t472)) % 35.74/36.01 (define @t506 () (not @t502)) % 35.74/36.01 (define @t507 () (or @t290 @t289 @t287 @t506 @t505)) % 35.74/36.01 (define @t508 () (tptp.m2_filter_2 @t211 @t206)) % 35.74/36.01 (define @t509 () (tptp.k15_filter_2 @t206 @t211)) % 35.74/36.01 (define @t510 () (tptp.v1_filter_0 @t509 @t207)) % 35.74/36.01 (define @t511 () (tptp.r2_filter_2 @t206 @t211)) % 35.74/36.01 (define @t512 () (= @t511 @t510)) % 35.74/36.01 (define @t513 () (not @t508)) % 35.74/36.01 (define @t514 () (or @t290 @t289 @t287 @t513 @t512)) % 35.74/36.01 (define @t515 () (tptp.r1_tarski @t208 @t211)) % 35.74/36.01 (define @t516 () (not @t511)) % 35.74/36.01 (define @t517 () (not @t515)) % 35.74/36.01 (define @t518 () (or @t513 @t517 @t516)) % 35.74/36.01 (define @t519 () (not @t510)) % 35.74/36.01 (define @t520 () (tptp.k7_filter_2 @t206 @t211)) % 35.74/36.01 (define @t521 () (= @t520 @t509)) % 35.74/36.01 (define @t522 () (or @t290 @t289 @t287 @t513 @t521)) % 35.74/36.01 (define @t523 () (tptp.m1_subset_1 @t211 @t422)) % 35.74/36.01 (define @t524 () (= @t211 @t520)) % 35.74/36.01 (define @t525 () (not @t523)) % 35.74/36.01 (define @t526 () (or @t290 @t289 @t287 @t525 @t524)) % 35.74/36.01 (assume @p1 @t29) % 35.74/36.01 (assume @p2 @t35) % 35.74/36.01 (assume @p3 (forall @t37 (=> @t36 (not (tptp.r2_hidden @t4 @t2))))) % 35.74/36.01 (assume @p4 (forall @t27 (=> @t39 @t38))) % 35.74/36.01 (assume @p5 (forall @t27 (=> @t21 (=> @t47 @t46)))) % 35.74/36.01 (assume @p6 (forall @t50 (=> @t49 (tptp.v1_relat_1 @t1)))) % 35.74/36.01 (assume @p7 (forall @t27 (=> @t53 @t52))) % 35.74/36.01 (assume @p8 (forall @t27 (=> @t21 (=> @t46 @t47)))) % 35.74/36.01 (assume @p9 (forall @t27 (=> @t21 (=> @t57 @t55)))) % 35.74/36.01 (assume @p10 (forall @t27 (=> @t21 (=> @t55 @t57)))) % 35.74/36.01 (assume @p11 @t60) % 35.74/36.01 (assume @p12 @t67) % 35.74/36.01 (assume @p13 @t74) % 35.74/36.01 (assume @p14 (forall @t50 (=> @t84 (and @t76 (tptp.l3_lattices @t75))))) % 35.74/36.01 (assume @p15 @t89) % 35.74/36.01 (assume @p16 @t93) % 35.74/36.01 (assume @p17 @t96) % 35.74/36.01 (assume @p18 true) % 35.74/36.01 (assume @p19 (forall @t37 (=> (and @t24 @t22 @t21 @t63) (tptp.m1_subset_1 @t61 @t69)))) % 35.74/36.01 (assume @p20 (forall @t37 (=> (and @t24 @t22 @t21 @t70) (tptp.m1_subset_1 @t68 @t62)))) % 35.74/36.01 (assume @p21 (forall @t27 (=> @t98 @t97))) % 35.74/36.01 (assume @p22 (forall @t27 (=> @t99 @t97))) % 35.74/36.01 (assume @p23 @t101) % 35.74/36.01 (assume @p24 @t108) % 35.74/36.01 (assume @p25 (forall @t27 (=> @t25 (forall @t17 (=> @t111 @t110))))) % 35.74/36.01 (assume @p26 @t114) % 35.74/36.01 (assume @p27 @t117) % 35.74/36.01 (assume @p28 (forall @t50 (=> @t118 @t49))) % 35.74/36.01 (assume @p29 @t123) % 35.74/36.01 (assume @p30 @t127) % 35.74/36.01 (assume @p31 (exists @t27 @t98)) % 35.74/36.01 (assume @p32 (exists @t27 @t97)) % 35.74/36.01 (assume @p33 (exists @t27 @t99)) % 35.74/36.01 (assume @p34 (exists @t27 @t21)) % 35.74/36.01 (assume @p35 (forall @t27 (=> @t25 (exists @t17 @t105)))) % 35.74/36.01 (assume @p36 (forall @t27 (=> @t25 (exists @t17 @t111)))) % 35.74/36.01 (assume @p37 (forall @t37 (exists @t8 @t128))) % 35.74/36.01 (assume @p38 (forall @t27 (exists @t17 (tptp.m1_subset_1 @t4 @t2)))) % 35.74/36.01 (assume @p39 (forall @t27 (=> @t25 (exists @t17 @t15)))) % 35.74/36.01 (assume @p40 (forall @t27 (=> @t25 (exists @t17 @t109)))) % 35.74/36.01 (assume @p41 (forall @t37 (exists @t8 @t118))) % 35.74/36.01 (assume @p42 (forall @t37 (=> (and @t24 @t22 @t21 @t103 @t63) (not (tptp.v1_xboole_0 @t61))))) % 35.74/36.01 (assume @p43 @t132) % 35.74/36.01 (assume @p44 (forall @t27 (=> @t133 (not (tptp.v1_xboole_0 @t10))))) % 35.74/36.01 (assume @p45 (forall @t27 (not (tptp.v1_xboole_0 @t134)))) % 35.74/36.01 (assume @p46 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 35.74/36.01 (assume @p47 (forall @t37 (=> (and @t24 @t22 @t21 @t103 @t70) (not (tptp.v1_xboole_0 @t68))))) % 35.74/36.01 (assume @p48 (forall @t27 (=> (and @t24 @t45 @t99) (and @t136 @t125 @t124 (tptp.v1_binop_1 @t31 @t10) @t135)))) % 35.74/36.01 (assume @p49 (forall @t27 (=> (and @t24 @t44 @t99) (and @t136 @t125 @t124 (tptp.v2_binop_1 @t31 @t10) @t135)))) % 35.74/36.01 (assume @p50 (forall @t50 (=> (and @t137 @t83 @t82 @t81 @t80 @t79 @t78) (and (not (tptp.v3_struct_0 @t75)) @t76)))) % 35.74/36.01 (assume @p51 (forall @t27 (=> (and @t24 @t43 @t98) (and @t139 @t121 @t120 (tptp.v1_binop_1 @t30 @t10) @t138)))) % 35.74/36.01 (assume @p52 (forall @t37 (=> (and @t137 @t103) (not (tptp.v1_xboole_0 @t48))))) % 35.74/36.01 (assume @p53 (forall @t27 (=> (and @t24 @t42 @t98) (and @t139 @t121 @t120 (tptp.v2_binop_1 @t30 @t10) @t138)))) % 35.74/36.01 (assume @p54 @t141) % 35.74/36.01 (assume @p55 @t150) % 35.74/36.01 (assume @p56 (exists @t27 (and @t21 @t24 @t33 @t45 @t44 @t43 @t42 @t41 @t40 @t22 @t56 @t19 @t54))) % 35.74/36.01 (assume @p57 (exists @t27 (and @t51 @t38))) % 35.74/36.01 (assume @p58 (forall @t27 (=> @t25 (exists @t17 (and @t109 @t103))))) % 35.74/36.01 (assume @p59 (forall @t27 (=> @t137 (exists @t17 (and @t151 @t103))))) % 35.74/36.01 (assume @p60 (exists @t27 @t39)) % 35.74/36.01 (assume @p61 (exists @t27 @t53)) % 35.74/36.01 (assume @p62 (forall @t27 (exists @t17 (and @t151 @t102)))) % 35.74/36.01 (assume @p63 (exists @t27 @t137)) % 35.74/36.01 (assume @p64 (exists @t27 @t52)) % 35.74/36.01 (assume @p65 (exists @t27 (and @t21 @t33))) % 35.74/36.01 (assume @p66 (exists @t27 (and @t97 @t24))) % 35.74/36.01 (assume @p67 (forall @t27 (=> @t133 (exists @t17 (and @t63 @t103))))) % 35.74/36.01 (assume @p68 (exists @t27 (and @t21 @t24 @t33))) % 35.74/36.01 (assume @p69 (exists @t27 (and @t21 @t24 @t33 @t45 @t44 @t43 @t42 @t41 @t40 @t22))) % 35.74/36.01 (assume @p70 @t153) % 35.74/36.01 (assume @p71 @t155) % 35.74/36.01 (assume @p72 @t158) % 35.74/36.01 (assume @p73 (forall @t50 (= @t118 @t128))) % 35.74/36.01 (assume @p74 (forall @t37 (tptp.r1_tarski @t2 @t2))) % 35.74/36.01 (assume @p75 (forall @t37 (=> @t36 @t159))) % 35.74/36.01 (assume @p76 @t170) % 35.74/36.01 (assume @p77 (forall @t37 (=> @t159 (or @t102 @t36)))) % 35.74/36.01 (assume @p78 @t174) % 35.74/36.01 (assume @p79 (forall @t37 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t2 @t4)))) % 35.74/36.01 (assume @p80 (forall @t50 (=> (and @t36 @t175) (tptp.m1_subset_1 @t2 @t1)))) % 35.74/36.01 (assume @p81 (forall @t50 (not (and @t36 @t175 (tptp.v1_xboole_0 @t1))))) % 35.74/36.01 (assume @p82 @t177) % 35.74/36.01 (assume @p83 (forall @t27 (=> @t39 (= @t2 tptp.k1_xboole_0)))) % 35.74/36.01 (assume @p84 (forall @t37 (not (and @t36 @t102)))) % 35.74/36.01 (assume @p85 (forall @t37 (not (and @t39 (not (= @t2 @t4)) @t102)))) % 35.74/36.01 (step @p86 :rule evaluate :args ((= true false))) % 35.74/36.01 (step @p87 :rule aci_norm :args ((= @t184 (or @t23 @t182 @t181 @t180 @t179)))) % 35.74/36.01 (step @p88 :rule cong :premises (@p87) :args (@t185)) % 35.74/36.01 (step @p89 :rule quant-merge-prenex :args ((= (forall @t27 @t187) @t185))) % 35.74/36.01 (step @p90 :rule alpha_equiv :args (@t188 (@list @t178) @t189)) % 35.74/36.01 (step @p91 :rule refl :args (@t181)) % 35.74/36.01 (step @p92 :rule refl :args (@t182)) % 35.74/36.01 (step @p93 :rule refl :args (@t23)) % 35.74/36.01 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90) :args (@t190)) % 35.74/36.01 (step @p95 :rule quant-miniscope-or :args ((= @t187 @t190))) % 35.74/36.01 (step @p96 :rule trans :premises (@p95 @p94)) % 35.74/36.01 (step @p97 :rule symm :premises (@p96)) % 35.74/36.01 (step @p98 :rule cong :premises (@p97) :args ((forall @t27 @t193))) % 35.74/36.01 (step @p99 :rule trans :premises (@p98 @p89)) % 35.74/36.01 (step @p100 :rule trans :premises (@p99 @p88)) % 35.74/36.01 (step @p101 :rule aci_norm :args ((= (or @t194 @t192) @t193))) % 35.74/36.01 (step @p102 :rule refl :args (@t192)) % 35.74/36.01 (step @p103 :rule bool-double-not-elim :args (@t23)) % 35.74/36.01 (step @p104 :rule nary_cong :premises (@p103 @p92 @p91) :args (@t196)) % 35.74/36.01 (step @p105 :rule aci_norm :args ((= (or @t195 (or @t182 @t181)) @t196))) % 35.74/36.01 (step @p106 :rule trans :premises (@p105 @p104)) % 35.74/36.01 (step @p107 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 35.74/36.01 (step @p108 :rule refl :args (@t195)) % 35.74/36.01 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t195 (not (and @t22 @t21))))) % 35.74/36.01 (step @p110 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 35.74/36.01 (step @p111 :rule trans :premises (@p110 @p109)) % 35.74/36.01 (step @p112 :rule trans :premises (@p111 @p106)) % 35.74/36.01 (step @p113 :rule nary_cong :premises (@p112 @p102) :args ((or @t197 @t192))) % 35.74/36.01 (step @p114 :rule trans :premises (@p113 @p101)) % 35.74/36.01 (step @p115 :rule bool-impl-elim :args (@t25 @t192)) % 35.74/36.01 (step @p116 :rule trans :premises (@p115 @p114)) % 35.74/36.01 (step @p117 :rule cong :premises (@p116) :args ((forall @t27 (=> @t25 @t192)))) % 35.74/36.01 (step @p118 :rule trans :premises (@p117 @p100)) % 35.74/36.01 (step @p119 :rule bool-impl-elim :args (@t15 @t171)) % 35.74/36.01 (step @p120 :rule cong :premises (@p119) :args (@t172)) % 35.74/36.01 (step @p121 :rule refl :args (@t25)) % 35.74/36.01 (step @p122 :rule cong :premises (@p121 @p120) :args (@t173)) % 35.74/36.01 (step @p123 :rule cong :premises (@p122) :args (@t174)) % 35.74/36.01 (step @p124 :rule trans :premises (@p123 @p118)) % 35.74/36.01 (step @p125 :rule eq_resolve :premises (@p78 @p124)) % 35.74/36.01 (step @p126 :rule instantiate :premises (@p125) :args (@t212)) % 35.74/36.01 (step @p127 :rule aci_norm :args ((= (or @t214 @t86) (or @t23 @t182 @t181 @t213 @t86)))) % 35.74/36.01 (step @p128 :rule refl :args (@t86)) % 35.74/36.01 (step @p129 :rule refl :args (@t213)) % 35.74/36.01 (step @p130 :rule nary_cong :premises (@p103 @p92 @p91 @p129) :args (@t215)) % 35.74/36.01 (step @p131 :rule aci_norm :args ((= (or @t195 (or @t182 (or @t181 @t213))) @t215))) % 35.74/36.01 (step @p132 :rule trans :premises (@p131 @p130)) % 35.74/36.01 (step @p133 :rule bool-and-de-morgan :args (@t21 @t87 true)) % 35.74/36.01 (step @p134 :rule nary_cong :premises (@p92 @p133) :args ((or @t182 (not (and @t21 @t87))))) % 35.74/36.01 (step @p135 :rule bool-and-de-morgan :args (@t22 @t21 (and @t87))) % 35.74/36.01 (step @p136 :rule trans :premises (@p135 @p134)) % 35.74/36.01 (step @p137 :rule nary_cong :premises (@p108 @p136) :args ((or @t195 (not (and @t22 @t21 @t87))))) % 35.74/36.01 (step @p138 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t87))) % 35.74/36.01 (step @p139 :rule trans :premises (@p138 @p137)) % 35.74/36.01 (step @p140 :rule trans :premises (@p139 @p132)) % 35.74/36.01 (step @p141 :rule nary_cong :premises (@p140 @p128) :args ((or @t216 @t86))) % 35.74/36.01 (step @p142 :rule trans :premises (@p141 @p127)) % 35.74/36.01 (step @p143 :rule bool-impl-elim :args (@t88 @t86)) % 35.74/36.01 (step @p144 :rule trans :premises (@p143 @p142)) % 35.74/36.01 (step @p145 :rule cong :premises (@p144) :args (@t89)) % 35.74/36.01 (step @p146 :rule eq_resolve :premises (@p15 @p145)) % 35.74/36.01 (step @p147 :rule instantiate :premises (@p146) :args (@t212)) % 35.74/36.01 (step @p148 :rule refl :args (@t220)) % 35.74/36.01 (step @p149 :rule eq-symm :args (@t218 @t10)) % 35.74/36.01 (step @p150 :rule refl :args (@t221)) % 35.74/36.01 (step @p151 :rule refl :args (@t222)) % 35.74/36.01 (step @p152 :rule refl :args (@t181)) % 35.74/36.01 (step @p153 :rule refl :args (@t182)) % 35.74/36.01 (step @p154 :rule refl :args (@t23)) % 35.74/36.01 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150 @p149 @p148) :args (@t224)) % 35.74/36.01 (step @p156 :rule aci_norm :args ((= @t226 @t224))) % 35.74/36.01 (step @p157 :rule trans :premises (@p156 @p155)) % 35.74/36.01 (step @p158 :rule cong :premises (@p157) :args (@t228)) % 35.74/36.01 (step @p159 :rule quant-merge-prenex :args ((= (forall @t27 @t230) @t228))) % 35.74/36.01 (step @p160 :rule 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@p770 :rule trans :premises (@p769 @p763)) % 35.74/36.02 (step @p771 :rule trans :premises (@p770 @p762)) % 35.74/36.02 (step @p772 :rule aci_norm :args ((= (or @t194 @t488) @t489))) % 35.74/36.02 (step @p773 :rule refl :args (@t488)) % 35.74/36.02 (step @p774 :rule nary_cong :premises (@p112 @p773) :args ((or @t197 @t488))) % 35.74/36.02 (step @p775 :rule trans :premises (@p774 @p772)) % 35.74/36.02 (step @p776 :rule bool-impl-elim :args (@t25 @t488)) % 35.74/36.02 (step @p777 :rule trans :premises (@p776 @p775)) % 35.74/36.02 (step @p778 :rule cong :premises (@p777) :args ((forall @t27 (=> @t25 @t488)))) % 35.74/36.02 (step @p779 :rule trans :premises (@p778 @p771)) % 35.74/36.02 (step @p780 :rule bool-impl-elim :args (@t70 @t487)) % 35.74/36.02 (step @p781 :rule cong :premises (@p780) :args ((forall @t17 (=> @t70 @t487)))) % 35.74/36.02 (step @p782 :rule eq-symm :args (@t68 @t4)) % 35.74/36.02 (step @p783 :rule refl :args (@t70)) % 35.74/36.02 (step @p784 :rule cong :premises (@p783 @p782) :args (@t71)) % 35.74/36.02 (step @p785 :rule cong :premises (@p784) :args (@t72)) % 35.74/36.02 (step @p786 :rule trans :premises (@p785 @p781)) % 35.74/36.02 (step @p787 :rule cong :premises (@p121 @p786) :args (@t73)) % 35.74/36.02 (step @p788 :rule cong :premises (@p787) :args (@t74)) % 35.74/36.02 (step @p789 :rule trans :premises (@p788 @p779)) % 35.74/36.02 (step @p790 :rule eq_resolve :premises (@p13 @p789)) % 35.74/36.02 (step @p791 :rule instantiate :premises (@p790) :args (@t212)) % 35.74/36.02 (step @p792 :rule aci_norm :args ((= @t494 (or @t23 @t182 @t181 @t492 @t491)))) % 35.74/36.02 (step @p793 :rule cong :premises (@p792) :args (@t495)) % 35.74/36.02 (step @p794 :rule quant-merge-prenex :args ((= (forall @t27 @t497) @t495))) % 35.74/36.02 (step @p795 :rule alpha_equiv :args (@t498 (@list @t490) @t189)) % 35.74/36.02 (step @p796 :rule nary_cong :premises (@p93 @p92 @p91 @p795) :args (@t499)) % 35.74/36.02 (step @p797 :rule quant-miniscope-or :args ((= @t497 @t499))) % 35.74/36.02 (step @p798 :rule trans :premises (@p797 @p796)) % 35.74/36.02 (step @p799 :rule symm :premises (@p798)) % 35.74/36.02 (step @p800 :rule cong :premises (@p799) :args ((forall @t27 @t501))) % 35.74/36.02 (step @p801 :rule trans :premises (@p800 @p794)) % 35.74/36.02 (step @p802 :rule trans :premises (@p801 @p793)) % 35.74/36.02 (step @p803 :rule aci_norm :args ((= (or @t194 @t500) @t501))) % 35.74/36.02 (step @p804 :rule refl :args (@t500)) % 35.74/36.02 (step @p805 :rule nary_cong :premises (@p112 @p804) :args ((or @t197 @t500))) % 35.74/36.02 (step @p806 :rule trans :premises (@p805 @p803)) % 35.74/36.02 (step @p807 :rule bool-impl-elim :args (@t25 @t500)) % 35.74/36.02 (step @p808 :rule trans :premises (@p807 @p806)) % 35.74/36.02 (step @p809 :rule cong :premises (@p808) :args ((forall @t27 (=> @t25 @t500)))) % 35.74/36.02 (step @p810 :rule trans :premises (@p809 @p802)) % 35.74/36.02 (step @p811 :rule bool-impl-elim :args (@t105 @t104)) % 35.74/36.02 (step @p812 :rule cong :premises (@p811) :args (@t106)) % 35.74/36.02 (step @p813 :rule cong :premises (@p121 @p812) :args (@t107)) % 35.74/36.02 (step @p814 :rule cong :premises (@p813) :args (@t108)) % 35.74/36.02 (step @p815 :rule trans :premises (@p814 @p810)) % 35.74/36.02 (step @p816 :rule eq_resolve :premises (@p24 @p815)) % 35.74/36.02 (step @p817 :rule instantiate :premises (@p816) :args ((@list @t207 @t211))) % 35.74/36.02 (step @p818 :rule cnf_or_pos :args (@t504)) % 35.74/36.02 (step @p819 :rule reordering :premises (@p818) :args ((or @t254 @t253 @t251 @t464 @t503 (not @t504)))) % 35.74/36.02 (step @p820 :rule chain_m_resolution :premises (@p819 @p676 @p673 @p383 @p726 @p817) :args (@t503 @t421 (@list @t254 @t252 @t250 @t459 @t504))) % 35.74/36.02 (step @p821 :rule cnf_and_pos :args (@t503 1)) % 35.74/36.02 (step @p822 :rule reordering :premises (@p821) :args ((or @t502 (not @t503)))) % 35.74/36.02 (step @p823 :rule chain_m_resolution :premises (@p822 @p820) :args (@t502 @t260 (@list @t503))) % 35.74/36.02 (step @p824 :rule cnf_or_pos :args (@t507)) % 35.74/36.02 (step @p825 :rule reordering :premises (@p824) :args ((or @t290 @t289 @t287 @t506 @t505 (not @t507)))) % 35.74/36.02 (step @p826 :rule chain_m_resolution :premises (@p825 @p397 @p570 @p377 @p823 @p791) :args (@t505 @t421 (@list @t290 @t288 @t286 @t502 @t507))) % 35.74/36.02 (step @p827 :rule trans :premises (@p826 @p760)) % 35.74/36.02 (step @p828 :rule cong :premises (@p827 @p731) :args (@t508)) % 35.74/36.02 (step @p829 :rule trans :premises (@p828 @p730)) % 35.74/36.02 (step @p830 :rule true_elim :premises (@p829)) % 35.74/36.02 (step @p831 :rule cnf_or_pos :args (@t514)) % 35.74/36.02 (step @p832 :rule reordering :premises (@p831) :args ((or @t290 @t289 @t287 @t513 @t512 (not @t514)))) % 35.74/36.02 (step @p833 :rule chain_m_resolution :premises (@p832 @p397 @p570 @p377 @p830 @p126) :args (@t512 @t421 (@list @t290 @t288 @t286 @t508 @t514))) % 35.74/36.02 (step @p834 :rule bool-double-not-elim :args (@t278)) % 35.74/36.02 (step @p835 :rule nary_cong :premises (@p372 @p834) :args ((or @t291 (not @t279)))) % 35.74/36.02 (step @p836 :rule cnf_or_neg :args (@t291 6)) % 35.74/36.02 (step @p837 :rule eq_resolve :premises (@p836 @p835)) % 35.74/36.02 (step @p838 :rule reordering :premises (@p837) :args ((or @t278 @t291))) % 35.74/36.02 (step @p839 :rule chain_m_resolution :premises (@p838 @p306) :args (@t278 @t296 @t297)) % 35.74/36.02 (step @p840 :rule instantiate :premises (@p839) :args ((@list @t211))) % 35.74/36.02 (step @p841 :rule bool-double-not-elim :args (@t462)) % 35.74/36.02 (step @p842 :rule nary_cong :premises (@p721 @p841) :args ((or @t465 (not @t463)))) % 35.74/36.02 (step @p843 :rule cnf_or_neg :args (@t465 1)) % 35.74/36.02 (step @p844 :rule eq_resolve :premises (@p843 @p842)) % 35.74/36.02 (step @p845 :rule reordering :premises (@p844) :args ((or @t462 @t465))) % 35.74/36.02 (step @p846 :rule chain_m_resolution :premises (@p845 @p719) :args (@t462 @t296 @t466)) % 35.74/36.02 (step @p847 :rule true_intro :premises (@p846)) % 35.74/36.02 (step @p848 :rule refl :args (@t211)) % 35.74/36.02 (step @p849 :rule symm :premises (@p621)) % 35.74/36.02 (step @p850 :rule trans :premises (@p582 @p849)) % 35.74/36.02 (step @p851 :rule cong :premises (@p850 @p848) :args (@t515)) % 35.74/36.02 (step @p852 :rule trans :premises (@p851 @p847)) % 35.74/36.02 (step @p853 :rule true_elim :premises (@p852)) % 35.74/36.02 (step @p854 :rule cnf_or_pos :args (@t518)) % 35.74/36.02 (step @p855 :rule reordering :premises (@p854) :args ((or @t513 @t517 @t516 (not @t518)))) % 35.74/36.02 (step @p856 :rule chain_m_resolution :premises (@p855 @p830 @p853 @p840) :args (@t516 @t338 (@list @t508 @t515 @t518))) % 35.74/36.02 (step @p857 :rule cnf_equiv_pos2 :args (@t512)) % 35.74/36.02 (step @p858 :rule reordering :premises (@p857) :args ((or @t511 @t519 (not @t512)))) % 35.74/36.02 (step @p859 :rule chain_m_resolution :premises (@p858 @p856 @p833) :args (@t519 (@list true false) (@list @t511 @t512))) % 35.74/36.02 (step @p860 :rule false_intro :premises (@p859)) % 35.74/36.02 (step @p861 :rule refl :args (@t207)) % 35.74/36.02 (step @p862 :rule instantiate :premises (@p607) :args (@t212)) % 35.74/36.02 (step @p863 :rule cnf_or_pos :args (@t522)) % 35.74/36.02 (step @p864 :rule reordering :premises (@p863) :args ((or @t290 @t289 @t287 @t513 @t521 (not @t522)))) % 35.74/36.02 (step @p865 :rule chain_m_resolution :premises (@p864 @p397 @p570 @p377 @p830 @p862) :args (@t521 @t421 (@list @t290 @t288 @t286 @t508 @t522))) % 35.74/36.02 (step @p866 :rule instantiate :premises (@p505) :args (@t212)) % 35.74/36.02 (step @p867 :rule true_intro :premises (@p823)) % 35.74/36.02 (step @p868 :rule cong :premises (@p474) :args (@t422)) % 35.74/36.02 (step @p869 :rule cong :premises (@p848 @p868) :args (@t523)) % 35.74/36.02 (step @p870 :rule trans :premises (@p869 @p867)) % 35.74/36.02 (step @p871 :rule true_elim :premises (@p870)) % 35.74/36.02 (step @p872 :rule cnf_or_pos :args (@t526)) % 35.74/36.02 (step @p873 :rule reordering :premises (@p872) :args ((or @t290 @t289 @t287 @t525 @t524 (not @t526)))) % 35.74/36.02 (step @p874 :rule chain_m_resolution :premises (@p873 @p397 @p570 @p377 @p871 @p866) :args (@t524 @t421 (@list @t290 @t288 @t286 @t523 @t526))) % 35.74/36.02 (step @p875 :rule trans :premises (@p874 @p865)) % 35.74/36.02 (step @p876 :rule cong :premises (@p875 @p861) :args (@t460)) % 35.74/36.02 (step @p877 :rule bool-double-not-elim :args (@t460)) % 35.74/36.02 (step @p878 :rule nary_cong :premises (@p721 @p877) :args ((or @t465 (not @t461)))) % 35.74/36.02 (step @p879 :rule cnf_or_neg :args (@t465 2)) % 35.74/36.02 (step @p880 :rule eq_resolve :premises (@p879 @p878)) % 35.74/36.02 (step @p881 :rule reordering :premises (@p880) :args ((or @t460 @t465))) % 35.74/36.02 (step @p882 :rule chain_m_resolution :premises (@p881 @p719) :args (@t460 @t296 @t466)) % 35.74/36.02 (step @p883 :rule true_intro :premises (@p882)) % 35.74/36.02 (step @p884 :rule symm :premises (@p883)) % 35.74/36.02 (step @p885 :rule trans :premises (@p884 @p876 @p860)) % 35.74/36.02 (step @p886 false :rule eq_resolve :premises (@p885 @p86)) % 35.74/36.02 ) % 35.74/36.02 % SZS output end Proof % 35.74/36.02 % cvc5 exiting %------------------------------------------------------------------------------