%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT299+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 : n028.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 33.89s 34.29s % Output : Proof 33.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT299+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:16:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.89/34.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.89/34.29 --- Run --no-e-matching --full-saturate-quant at 6... % 33.89/34.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.89/34.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.89/34.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.89/34.29 % SZS status Theorem % 33.89/34.29 % SZS output start Proof % 33.89/34.29 ( % 33.89/34.29 (declare-sort $$unsorted 0) % 33.89/34.29 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.k1_xboole_0 $$unsorted) % 33.89/34.29 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 33.89/34.29 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.k3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.29 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 33.89/34.29 (define @t1 () (@var "B" $$unsorted)) % 33.89/34.29 (define @t2 () (@var "C" $$unsorted)) % 33.89/34.29 (define @t3 () (tptp.m2_filter_2 @t2 @t1)) % 33.89/34.29 (define @t4 () (@var "A" $$unsorted)) % 33.89/34.29 (define @t5 () (tptp.m2_filter_2 @t2 @t4)) % 33.89/34.29 (define @t6 () (@list @t2)) % 33.89/34.29 (define @t7 () (forall @t6 (=> @t5 @t3))) % 33.89/34.29 (define @t8 () (tptp.u1_lattices @t4)) % 33.89/34.29 (define @t9 () (tptp.u2_lattices @t4)) % 33.89/34.29 (define @t10 () (tptp.u1_struct_0 @t4)) % 33.89/34.29 (define @t11 () (tptp.g3_lattices @t10 @t9 @t8)) % 33.89/34.29 (define @t12 () (= @t11 (tptp.g3_lattices (tptp.u1_struct_0 @t1) (tptp.u2_lattices @t1) (tptp.u1_lattices @t1)))) % 33.89/34.29 (define @t13 () (=> @t12 @t7)) % 33.89/34.29 (define @t14 () (tptp.l3_lattices @t1)) % 33.89/34.29 (define @t15 () (tptp.v10_lattices @t1)) % 33.89/34.29 (define @t16 () (tptp.v3_struct_0 @t1)) % 33.89/34.29 (define @t17 () (not @t16)) % 33.89/34.29 (define @t18 () (and @t17 @t15 @t14)) % 33.89/34.29 (define @t19 () (=> @t18 @t13)) % 33.89/34.29 (define @t20 () (@list @t1)) % 33.89/34.29 (define @t21 () (forall @t20 @t19)) % 33.89/34.29 (define @t22 () (tptp.l3_lattices @t4)) % 33.89/34.29 (define @t23 () (tptp.v10_lattices @t4)) % 33.89/34.29 (define @t24 () (tptp.v3_struct_0 @t4)) % 33.89/34.29 (define @t25 () (not @t24)) % 33.89/34.29 (define @t26 () (and @t25 @t23 @t22)) % 33.89/34.29 (define @t27 () (=> @t26 @t21)) % 33.89/34.29 (define @t28 () (@list @t4)) % 33.89/34.29 (define @t29 () (forall @t28 @t27)) % 33.89/34.29 (define @t30 () (not @t29)) % 33.89/34.29 (define @t31 () (tptp.v3_lattices @t4)) % 33.89/34.29 (define @t32 () (tptp.r2_hidden @t4 @t1)) % 33.89/34.29 (define @t33 () (@list @t4 @t1)) % 33.89/34.29 (define @t34 () (tptp.v1_funct_1 @t4)) % 33.89/34.29 (define @t35 () (tptp.v1_xboole_0 @t4)) % 33.89/34.29 (define @t36 () (tptp.v9_lattices @t4)) % 33.89/34.29 (define @t37 () (tptp.v8_lattices @t4)) % 33.89/34.29 (define @t38 () (tptp.v7_lattices @t4)) % 33.89/34.29 (define @t39 () (tptp.v6_lattices @t4)) % 33.89/34.29 (define @t40 () (tptp.v5_lattices @t4)) % 33.89/34.29 (define @t41 () (tptp.v4_lattices @t4)) % 33.89/34.29 (define @t42 () (and @t25 @t41 @t40 @t39 @t38 @t37 @t36)) % 33.89/34.29 (define @t43 () (and @t25 @t23)) % 33.89/34.29 (define @t44 () (=> @t43 @t42)) % 33.89/34.29 (define @t45 () (forall @t28 (=> @t22 @t44))) % 33.89/34.29 (define @t46 () (not @t35)) % 33.89/34.29 (define @t47 () (tptp.v1_realset1 @t4)) % 33.89/34.29 (define @t48 () (not @t47)) % 33.89/34.29 (define @t49 () (tptp.k2_zfmisc_1 @t4 @t1)) % 33.89/34.29 (define @t50 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t49))) % 33.89/34.29 (define @t51 () (@list @t4 @t1 @t2)) % 33.89/34.29 (define @t52 () (tptp.v1_relat_1 @t4)) % 33.89/34.29 (define @t53 () (and @t52 @t34 (tptp.v2_funct_1 @t4))) % 33.89/34.29 (define @t54 () (and @t52 @t35 @t34)) % 33.89/34.29 (define @t55 () (tptp.k2_tarski @t4 @t1)) % 33.89/34.29 (define @t56 () (tptp.k3_lattices @t4 @t1 @t2)) % 33.89/34.29 (define @t57 () (tptp.m1_subset_1 @t2 @t10)) % 33.89/34.29 (define @t58 () (tptp.m1_subset_1 @t1 @t10)) % 33.89/34.29 (define @t59 () (tptp.l2_lattices @t4)) % 33.89/34.29 (define @t60 () (and @t25 @t41 @t59 @t58 @t57)) % 33.89/34.29 (define @t61 () (and @t52 @t34)) % 33.89/34.29 (define @t62 () (tptp.k1_lattices @t4 @t1 @t2)) % 33.89/34.29 (define @t63 () (= @t62 (tptp.k2_binop_1 @t10 @t10 @t10 @t9 @t1 @t2))) % 33.89/34.29 (define @t64 () (forall @t6 (=> @t57 @t63))) % 33.89/34.29 (define @t65 () (=> @t58 @t64)) % 33.89/34.29 (define @t66 () (forall @t20 @t65)) % 33.89/34.29 (define @t67 () (and @t25 @t59)) % 33.89/34.29 (define @t68 () (=> @t67 @t66)) % 33.89/34.29 (define @t69 () (forall @t28 @t68)) % 33.89/34.29 (define @t70 () (@var "D" $$unsorted)) % 33.89/34.29 (define @t71 () (tptp.r2_hidden @t2 @t1)) % 33.89/34.29 (define @t72 () (= (and @t71 (tptp.r2_hidden @t70 @t1)) (tptp.r2_hidden (tptp.k3_lattices @t4 @t2 @t70) @t1))) % 33.89/34.29 (define @t73 () (tptp.m1_subset_1 @t70 @t10)) % 33.89/34.29 (define @t74 () (@list @t70)) % 33.89/34.29 (define @t75 () (forall @t74 (=> @t73 @t72))) % 33.89/34.29 (define @t76 () (=> @t57 @t75)) % 33.89/34.29 (define @t77 () (forall @t6 @t76)) % 33.89/34.29 (define @t78 () (tptp.m2_filter_2 @t1 @t4)) % 33.89/34.29 (define @t79 () (= @t78 @t77)) % 33.89/34.29 (define @t80 () (tptp.m2_lattice4 @t1 @t4)) % 33.89/34.29 (define @t81 () (tptp.v1_xboole_0 @t1)) % 33.89/34.29 (define @t82 () (not @t81)) % 33.89/34.29 (define @t83 () (and @t82 @t80)) % 33.89/34.29 (define @t84 () (=> @t83 @t79)) % 33.89/34.29 (define @t85 () (forall @t20 @t84)) % 33.89/34.29 (define @t86 () (=> @t26 @t85)) % 33.89/34.29 (define @t87 () (forall @t28 @t86)) % 33.89/34.29 (define @t88 () (tptp.k1_tarski @t4)) % 33.89/34.29 (define @t89 () (tptp.g3_lattices @t4 @t1 @t2)) % 33.89/34.29 (define @t90 () (tptp.v3_lattices @t89)) % 33.89/34.29 (define @t91 () (tptp.k2_zfmisc_1 @t4 @t4)) % 33.89/34.29 (define @t92 () (tptp.m1_relset_1 @t2 @t91 @t4)) % 33.89/34.29 (define @t93 () (tptp.v1_funct_2 @t2 @t91 @t4)) % 33.89/34.29 (define @t94 () (tptp.v1_funct_1 @t2)) % 33.89/34.29 (define @t95 () (tptp.m1_relset_1 @t1 @t91 @t4)) % 33.89/34.29 (define @t96 () (tptp.v1_funct_2 @t1 @t91 @t4)) % 33.89/34.29 (define @t97 () (tptp.v1_funct_1 @t1)) % 33.89/34.29 (define @t98 () (and @t97 @t96 @t95 @t94 @t93 @t92)) % 33.89/34.29 (define @t99 () (@var "F" $$unsorted)) % 33.89/34.29 (define @t100 () (@var "E" $$unsorted)) % 33.89/34.29 (define @t101 () (tptp.k2_binop_1 @t4 @t1 @t2 @t70 @t100 @t99)) % 33.89/34.29 (define @t102 () (and @t46 @t82 (tptp.v1_funct_1 @t70) (tptp.v1_funct_2 @t70 @t49 @t2) (tptp.m1_relset_1 @t70 @t49 @t2) (tptp.m1_subset_1 @t100 @t4) (tptp.m1_subset_1 @t99 @t1))) % 33.89/34.29 (define @t103 () (@list @t4 @t1 @t2 @t70 @t100 @t99)) % 33.89/34.29 (define @t104 () (tptp.l1_struct_0 @t4)) % 33.89/34.29 (define @t105 () (tptp.l1_lattices @t4)) % 33.89/34.29 (define @t106 () (and @t105 @t59)) % 33.89/34.29 (define @t107 () (forall @t28 (=> @t22 @t106))) % 33.89/34.29 (define @t108 () (forall @t20 (=> @t78 @t83))) % 33.89/34.29 (define @t109 () (=> @t26 @t108)) % 33.89/34.29 (define @t110 () (forall @t28 @t109)) % 33.89/34.29 (define @t111 () (tptp.k1_zfmisc_1 @t10)) % 33.89/34.29 (define @t112 () (tptp.m1_subset_1 @t1 @t111)) % 33.89/34.29 (define @t113 () (forall @t20 (=> @t80 @t112))) % 33.89/34.29 (define @t114 () (=> @t26 @t113)) % 33.89/34.29 (define @t115 () (forall @t28 @t114)) % 33.89/34.29 (define @t116 () (tptp.m2_relset_1 @t2 @t4 @t1)) % 33.89/34.29 (define @t117 () (tptp.k2_zfmisc_1 @t10 @t10)) % 33.89/34.29 (define @t118 () (tptp.v1_funct_2 @t8 @t117 @t10)) % 33.89/34.29 (define @t119 () (tptp.v1_funct_1 @t8)) % 33.89/34.29 (define @t120 () (and @t119 @t118 (tptp.m2_relset_1 @t8 @t117 @t10))) % 33.89/34.29 (define @t121 () (forall @t28 (=> @t105 @t120))) % 33.89/34.29 (define @t122 () (tptp.v1_funct_2 @t9 @t117 @t10)) % 33.89/34.29 (define @t123 () (tptp.v1_funct_1 @t9)) % 33.89/34.29 (define @t124 () (and @t123 @t122 (tptp.m2_relset_1 @t9 @t117 @t10))) % 33.89/34.29 (define @t125 () (forall @t28 (=> @t59 @t124))) % 33.89/34.29 (define @t126 () (tptp.m1_relset_1 @t2 @t4 @t1)) % 33.89/34.29 (define @t127 () (and @t25 @t104)) % 33.89/34.29 (define @t128 () (tptp.k1_zfmisc_1 @t4)) % 33.89/34.29 (define @t129 () (tptp.v1_partfun1 @t9 @t117 @t10)) % 33.89/34.29 (define @t130 () (tptp.v1_relat_1 @t9)) % 33.89/34.29 (define @t131 () (not (tptp.v1_xboole_0 @t88))) % 33.89/34.29 (define @t132 () (tptp.v1_partfun1 @t8 @t117 @t10)) % 33.89/34.29 (define @t133 () (tptp.v1_relat_1 @t8)) % 33.89/34.29 (define @t134 () (and (= @t4 @t70) (= @t1 @t100) (= @t2 @t99))) % 33.89/34.29 (define @t135 () (= @t89 (tptp.g3_lattices @t70 @t100 @t99))) % 33.89/34.29 (define @t136 () (@list @t70 @t100 @t99)) % 33.89/34.29 (define @t137 () (forall @t136 (=> @t135 @t134))) % 33.89/34.29 (define @t138 () (=> @t98 @t137)) % 33.89/34.29 (define @t139 () (forall @t51 @t138)) % 33.89/34.29 (define @t140 () (tptp.m1_subset_1 @t1 @t128)) % 33.89/34.29 (define @t141 () (= @t56 @t62)) % 33.89/34.29 (define @t142 () (forall @t51 (=> @t60 @t141))) % 33.89/34.29 (define @t143 () (forall @t51 (= @t116 @t126))) % 33.89/34.29 (define @t144 () (=> @t77 @t78)) % 33.89/34.29 (define @t145 () (and @t82 @t112)) % 33.89/34.29 (define @t146 () (=> @t145 @t144)) % 33.89/34.29 (define @t147 () (forall @t20 @t146)) % 33.89/34.29 (define @t148 () (=> @t26 @t147)) % 33.89/34.29 (define @t149 () (forall @t28 @t148)) % 33.89/34.29 (define @t150 () (tptp.m1_subset_1 @t4 @t1)) % 33.89/34.29 (define @t151 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 33.89/34.29 (define @t152 () (@var "BOUND_VARIABLE_8258" $$unsorted)) % 33.89/34.29 (define @t153 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 33.89/34.29 (define @t154 () (@var "BOUND_VARIABLE_8254" $$unsorted)) % 33.89/34.29 (define @t155 () (and (= @t4 @t154) (= @t1 @t153) (= @t2 @t152))) % 33.89/34.29 (define @t156 () (not (= @t89 (tptp.g3_lattices @t154 @t153 @t152)))) % 33.89/34.29 (define @t157 () (not @t92)) % 33.89/34.29 (define @t158 () (not @t93)) % 33.89/34.29 (define @t159 () (not @t94)) % 33.89/34.29 (define @t160 () (not @t95)) % 33.89/34.29 (define @t161 () (not @t96)) % 33.89/34.29 (define @t162 () (not @t97)) % 33.89/34.29 (define @t163 () (or @t156 @t155)) % 33.89/34.29 (define @t164 () (or @t162 @t161 @t160 @t159 @t158 @t157 @t163)) % 33.89/34.29 (define @t165 () (forall (@list @t4 @t1 @t2 @t154 @t153 @t152) @t164)) % 33.89/34.29 (define @t166 () (@list @t154 @t153 @t152)) % 33.89/34.29 (define @t167 () (forall @t166 @t164)) % 33.89/34.29 (define @t168 () (forall @t166 @t163)) % 33.89/34.29 (define @t169 () (or @t162 @t161 @t160 @t159 @t158 @t157 @t168)) % 33.89/34.29 (define @t170 () (forall @t136 (or (not @t135) @t134))) % 33.89/34.29 (define @t171 () (or @t162 @t161 @t160 @t159 @t158 @t157 @t170)) % 33.89/34.29 (define @t172 () (or @t162 @t161 @t160 @t159 @t158 @t157)) % 33.89/34.29 (define @t173 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 33.89/34.29 (define @t174 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 33.89/34.29 (define @t175 () (tptp.m2_filter_2 @t174 @t173)) % 33.89/34.29 (define @t176 () (not (tptp.m2_filter_2 @t174 @t4))) % 33.89/34.29 (define @t177 () (not (= @t11 (tptp.g3_lattices (tptp.u1_struct_0 @t173) (tptp.u2_lattices @t173) (tptp.u1_lattices @t173))))) % 33.89/34.29 (define @t178 () (not (tptp.l3_lattices @t173))) % 33.89/34.29 (define @t179 () (not (tptp.v10_lattices @t173))) % 33.89/34.29 (define @t180 () (tptp.v3_struct_0 @t173)) % 33.89/34.29 (define @t181 () (not @t22)) % 33.89/34.29 (define @t182 () (not @t23)) % 33.89/34.29 (define @t183 () (or @t24 @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175)) % 33.89/34.29 (define @t184 () (@list @t4 @t173 @t174)) % 33.89/34.29 (define @t185 () (forall @t184 @t183)) % 33.89/34.29 (define @t186 () (@quantifiers_skolemize @t185 1)) % 33.89/34.29 (define @t187 () (tptp.u1_lattices @t186)) % 33.89/34.29 (define @t188 () (tptp.u2_lattices @t186)) % 33.89/34.29 (define @t189 () (tptp.u1_struct_0 @t186)) % 33.89/34.29 (define @t190 () (@quantifiers_skolemize @t185 0)) % 33.89/34.29 (define @t191 () (tptp.u1_lattices @t190)) % 33.89/34.29 (define @t192 () (tptp.u2_lattices @t190)) % 33.89/34.29 (define @t193 () (tptp.u1_struct_0 @t190)) % 33.89/34.29 (define @t194 () (tptp.k2_zfmisc_1 @t193 @t193)) % 33.89/34.29 (define @t195 () (tptp.m2_relset_1 @t191 @t194 @t193)) % 33.89/34.29 (define @t196 () (tptp.m1_relset_1 @t191 @t194 @t193)) % 33.89/34.29 (define @t197 () (= @t195 @t196)) % 33.89/34.29 (define @t198 () (= @t196 @t195)) % 33.89/34.29 (define @t199 () (@list false)) % 33.89/34.29 (define @t200 () (@list @t143)) % 33.89/34.29 (define @t201 () (@list @t190)) % 33.89/34.29 (define @t202 () (or @t180 @t179 @t178 @t177 @t176 @t175)) % 33.89/34.29 (define @t203 () (or @t24 @t182 @t181 @t202)) % 33.89/34.29 (define @t204 () (forall @t184 @t203)) % 33.89/34.29 (define @t205 () (@list @t173 @t174)) % 33.89/34.29 (define @t206 () (forall @t205 @t203)) % 33.89/34.29 (define @t207 () (forall @t205 @t202)) % 33.89/34.29 (define @t208 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 33.89/34.29 (define @t209 () (or @t24 @t182 @t181 @t207)) % 33.89/34.29 (define @t210 () (tptp.m2_filter_2 @t208 @t1)) % 33.89/34.29 (define @t211 () (not (tptp.m2_filter_2 @t208 @t4))) % 33.89/34.29 (define @t212 () (not @t12)) % 33.89/34.29 (define @t213 () (not @t14)) % 33.89/34.29 (define @t214 () (not @t15)) % 33.89/34.29 (define @t215 () (or @t16 @t214 @t213 @t212 @t211 @t210)) % 33.89/34.29 (define @t216 () (@list @t1 @t208)) % 33.89/34.29 (define @t217 () (forall @t216 @t215)) % 33.89/34.29 (define @t218 () (or @t24 @t182 @t181 @t217)) % 33.89/34.29 (define @t219 () (or @t24 @t182 @t181)) % 33.89/34.29 (define @t220 () (not @t25)) % 33.89/34.29 (define @t221 () (or @t220 @t182 @t181)) % 33.89/34.29 (define @t222 () (not @t26)) % 33.89/34.29 (define @t223 () (or @t211 @t210)) % 33.89/34.29 (define @t224 () (or @t16 @t214 @t213 @t212 @t223)) % 33.89/34.29 (define @t225 () (forall @t216 @t224)) % 33.89/34.29 (define @t226 () (@list @t208)) % 33.89/34.29 (define @t227 () (forall @t226 @t224)) % 33.89/34.29 (define @t228 () (forall @t226 @t223)) % 33.89/34.29 (define @t229 () (@list @t2)) % 33.89/34.29 (define @t230 () (or @t16 @t214 @t213 @t212 @t228)) % 33.89/34.29 (define @t231 () (forall @t6 (or (not @t5) @t3))) % 33.89/34.29 (define @t232 () (or @t16 @t214 @t213 @t212 @t231)) % 33.89/34.29 (define @t233 () (not @t17)) % 33.89/34.29 (define @t234 () (or @t233 @t214 @t213)) % 33.89/34.29 (define @t235 () (=> @t12 @t231)) % 33.89/34.29 (define @t236 () (tptp.l3_lattices @t190)) % 33.89/34.29 (define @t237 () (@quantifiers_skolemize @t185 2)) % 33.89/34.29 (define @t238 () (tptp.m2_filter_2 @t237 @t186)) % 33.89/34.29 (define @t239 () (tptp.m2_filter_2 @t237 @t190)) % 33.89/34.29 (define @t240 () (not @t239)) % 33.89/34.29 (define @t241 () (= (tptp.g3_lattices @t193 @t192 @t191) (tptp.g3_lattices @t189 @t188 @t187))) % 33.89/34.29 (define @t242 () (not @t241)) % 33.89/34.29 (define @t243 () (tptp.l3_lattices @t186)) % 33.89/34.29 (define @t244 () (not @t243)) % 33.89/34.29 (define @t245 () (tptp.v10_lattices @t186)) % 33.89/34.29 (define @t246 () (not @t245)) % 33.89/34.29 (define @t247 () (tptp.v3_struct_0 @t186)) % 33.89/34.29 (define @t248 () (not @t236)) % 33.89/34.29 (define @t249 () (tptp.v10_lattices @t190)) % 33.89/34.29 (define @t250 () (not @t249)) % 33.89/34.29 (define @t251 () (tptp.v3_struct_0 @t190)) % 33.89/34.29 (define @t252 () (or @t251 @t250 @t248 @t247 @t246 @t244 @t242 @t240 @t238)) % 33.89/34.29 (define @t253 () (@list true)) % 33.89/34.29 (define @t254 () (@list @t252)) % 33.89/34.29 (define @t255 () (tptp.l2_lattices @t190)) % 33.89/34.29 (define @t256 () (tptp.l1_lattices @t190)) % 33.89/34.29 (define @t257 () (and @t256 @t255)) % 33.89/34.29 (define @t258 () (or @t248 @t257)) % 33.89/34.29 (define @t259 () (@list false false)) % 33.89/34.29 (define @t260 () (not @t257)) % 33.89/34.29 (define @t261 () (@list @t257)) % 33.89/34.29 (define @t262 () (tptp.v1_funct_2 @t191 @t194 @t193)) % 33.89/34.29 (define @t263 () (tptp.v1_funct_1 @t191)) % 33.89/34.29 (define @t264 () (and @t263 @t262 @t195)) % 33.89/34.29 (define @t265 () (not @t256)) % 33.89/34.29 (define @t266 () (or @t265 @t264)) % 33.89/34.29 (define @t267 () (not @t264)) % 33.89/34.29 (define @t268 () (@list @t264)) % 33.89/34.29 (define @t269 () (tptp.m2_relset_1 @t192 @t194 @t193)) % 33.89/34.29 (define @t270 () (tptp.m1_relset_1 @t192 @t194 @t193)) % 33.89/34.29 (define @t271 () (= @t269 @t270)) % 33.89/34.29 (define @t272 () (= @t270 @t269)) % 33.89/34.29 (define @t273 () (tptp.v1_funct_2 @t192 @t194 @t193)) % 33.89/34.29 (define @t274 () (tptp.v1_funct_1 @t192)) % 33.89/34.29 (define @t275 () (and @t274 @t273 @t269)) % 33.89/34.29 (define @t276 () (not @t255)) % 33.89/34.29 (define @t277 () (or @t276 @t275)) % 33.89/34.29 (define @t278 () (not @t275)) % 33.89/34.29 (define @t279 () (@list @t275)) % 33.89/34.29 (define @t280 () (= @t192 @t188)) % 33.89/34.29 (define @t281 () (= @t193 @t189)) % 33.89/34.29 (define @t282 () (and @t281 @t280 (= @t191 @t187))) % 33.89/34.29 (define @t283 () (not @t196)) % 33.89/34.29 (define @t284 () (not @t262)) % 33.89/34.29 (define @t285 () (not @t263)) % 33.89/34.29 (define @t286 () (not @t270)) % 33.89/34.29 (define @t287 () (not @t273)) % 33.89/34.29 (define @t288 () (not @t274)) % 33.89/34.29 (define @t289 () (or @t288 @t287 @t286 @t285 @t284 @t283 @t242 @t282)) % 33.89/34.29 (define @t290 () (not @t282)) % 33.89/34.29 (define @t291 () (@list @t282)) % 33.89/34.29 (define @t292 () (not @t57)) % 33.89/34.29 (define @t293 () (not @t58)) % 33.89/34.29 (define @t294 () (not @t59)) % 33.89/34.29 (define @t295 () (not @t41)) % 33.89/34.29 (define @t296 () (or @t220 @t295 @t294 @t293 @t292)) % 33.89/34.29 (define @t297 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 33.89/34.29 (define @t298 () (and (tptp.r2_hidden @t2 @t237) (tptp.r2_hidden @t297 @t237))) % 33.89/34.29 (define @t299 () (@list @t2 @t297)) % 33.89/34.29 (define @t300 () (forall @t299 (or (not (tptp.m1_subset_1 @t2 @t189)) (not (tptp.m1_subset_1 @t297 @t189)) (= @t298 (tptp.r2_hidden (tptp.k3_lattices @t186 @t2 @t297) @t237))))) % 33.89/34.29 (define @t301 () (@quantifiers_skolemize @t300 1)) % 33.89/34.29 (define @t302 () (@quantifiers_skolemize @t300 0)) % 33.89/34.29 (define @t303 () (@list @t186 @t302 @t301)) % 33.89/34.29 (define @t304 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 33.89/34.29 (define @t305 () (tptp.m2_filter_2 @t304 @t4)) % 33.89/34.29 (define @t306 () (tptp.k3_lattices @t4 @t2 @t297)) % 33.89/34.29 (define @t307 () (not (tptp.m1_subset_1 @t297 @t10))) % 33.89/34.29 (define @t308 () (not (forall @t299 (or @t292 @t307 (= (and (tptp.r2_hidden @t2 @t304) (tptp.r2_hidden @t297 @t304)) (tptp.r2_hidden @t306 @t304)))))) % 33.89/34.29 (define @t309 () (not (tptp.m1_subset_1 @t304 @t111))) % 33.89/34.29 (define @t310 () (tptp.v1_xboole_0 @t304)) % 33.89/34.29 (define @t311 () (or @t310 @t309 @t308 @t305)) % 33.89/34.29 (define @t312 () (or @t24 @t182 @t181 @t311)) % 33.89/34.29 (define @t313 () (forall (@list @t4 @t304) @t312)) % 33.89/34.29 (define @t314 () (@list @t304)) % 33.89/34.29 (define @t315 () (forall @t314 @t312)) % 33.89/34.29 (define @t316 () (forall @t314 @t311)) % 33.89/34.29 (define @t317 () (@list @t1)) % 33.89/34.29 (define @t318 () (or @t24 @t182 @t181 @t316)) % 33.89/34.29 (define @t319 () (= (and @t71 (tptp.r2_hidden @t297 @t1)) (tptp.r2_hidden @t306 @t1))) % 33.89/34.29 (define @t320 () (or @t292 @t307 @t319)) % 33.89/34.29 (define @t321 () (forall @t299 @t320)) % 33.89/34.29 (define @t322 () (not @t321)) % 33.89/34.29 (define @t323 () (not @t112)) % 33.89/34.29 (define @t324 () (or @t81 @t323 @t322 @t78)) % 33.89/34.29 (define @t325 () (forall @t20 @t324)) % 33.89/34.29 (define @t326 () (or @t24 @t182 @t181 @t325)) % 33.89/34.29 (define @t327 () (not @t82)) % 33.89/34.29 (define @t328 () (=> @t321 @t78)) % 33.89/34.29 (define @t329 () (or @t307 @t319)) % 33.89/34.29 (define @t330 () (or @t292 @t329)) % 33.89/34.29 (define @t331 () (forall @t299 @t330)) % 33.89/34.29 (define @t332 () (@list @t297)) % 33.89/34.29 (define @t333 () (forall @t332 @t330)) % 33.89/34.29 (define @t334 () (forall @t332 @t329)) % 33.89/34.29 (define @t335 () (or @t292 @t334)) % 33.89/34.29 (define @t336 () (forall @t74 (or (not @t73) @t72))) % 33.89/34.29 (define @t337 () (@var "BOUND_VARIABLE_8128" $$unsorted)) % 33.89/34.29 (define @t338 () (tptp.m1_subset_1 @t337 @t111)) % 33.89/34.29 (define @t339 () (not (tptp.m2_lattice4 @t337 @t4))) % 33.89/34.29 (define @t340 () (or @t339 @t338)) % 33.89/34.29 (define @t341 () (or @t24 @t182 @t181 @t340)) % 33.89/34.29 (define @t342 () (forall (@list @t4 @t337) @t341)) % 33.89/34.29 (define @t343 () (@list @t337)) % 33.89/34.29 (define @t344 () (forall @t343 @t341)) % 33.89/34.29 (define @t345 () (forall @t343 @t340)) % 33.89/34.29 (define @t346 () (or @t24 @t182 @t181 @t345)) % 33.89/34.29 (define @t347 () (not @t80)) % 33.89/34.29 (define @t348 () (forall @t20 (or @t347 @t112))) % 33.89/34.29 (define @t349 () (or @t24 @t182 @t181 @t348)) % 33.89/34.29 (define @t350 () (@list @t190 @t237)) % 33.89/34.29 (define @t351 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 33.89/34.29 (define @t352 () (and (not (tptp.v1_xboole_0 @t351)) (tptp.m2_lattice4 @t351 @t4))) % 33.89/34.29 (define @t353 () (not (tptp.m2_filter_2 @t351 @t4))) % 33.89/34.29 (define @t354 () (or @t353 @t352)) % 33.89/34.29 (define @t355 () (or @t24 @t182 @t181 @t354)) % 33.89/34.29 (define @t356 () (forall (@list @t4 @t351) @t355)) % 33.89/34.29 (define @t357 () (@list @t351)) % 33.89/34.29 (define @t358 () (forall @t357 @t355)) % 33.89/34.29 (define @t359 () (forall @t357 @t354)) % 33.89/34.29 (define @t360 () (or @t24 @t182 @t181 @t359)) % 33.89/34.29 (define @t361 () (forall @t20 (or (not @t78) @t83))) % 33.89/34.29 (define @t362 () (or @t24 @t182 @t181 @t361)) % 33.89/34.29 (define @t363 () (not @t251)) % 33.89/34.29 (define @t364 () (tptp.m2_lattice4 @t237 @t190)) % 33.89/34.29 (define @t365 () (tptp.v1_xboole_0 @t237)) % 33.89/34.29 (define @t366 () (not @t365)) % 33.89/34.29 (define @t367 () (and @t366 @t364)) % 33.89/34.29 (define @t368 () (or @t251 @t250 @t248 @t240 @t367)) % 33.89/34.29 (define @t369 () (@list true false false false false)) % 33.89/34.29 (define @t370 () (not @t367)) % 33.89/34.29 (define @t371 () (@list @t367)) % 33.89/34.29 (define @t372 () (tptp.m1_subset_1 @t237 (tptp.k1_zfmisc_1 @t193))) % 33.89/34.29 (define @t373 () (not @t364)) % 33.89/34.29 (define @t374 () (or @t251 @t250 @t248 @t373 @t372)) % 33.89/34.29 (define @t375 () (tptp.k1_zfmisc_1 @t189)) % 33.89/34.29 (define @t376 () (tptp.m1_subset_1 @t237 @t375)) % 33.89/34.29 (define @t377 () (not @t247)) % 33.89/34.29 (define @t378 () (not @t300)) % 33.89/34.29 (define @t379 () (not @t376)) % 33.89/34.29 (define @t380 () (or @t247 @t246 @t244 @t365 @t379 @t378 @t238)) % 33.89/34.29 (define @t381 () (tptp.m1_subset_1 @t301 @t189)) % 33.89/34.29 (define @t382 () (tptp.k3_lattices @t186 @t302 @t301)) % 33.89/34.29 (define @t383 () (tptp.r2_hidden @t382 @t237)) % 33.89/34.29 (define @t384 () (and (tptp.r2_hidden @t302 @t237) (tptp.r2_hidden @t301 @t237))) % 33.89/34.29 (define @t385 () (= @t384 @t383)) % 33.89/34.29 (define @t386 () (not @t381)) % 33.89/34.29 (define @t387 () (tptp.m1_subset_1 @t302 @t189)) % 33.89/34.29 (define @t388 () (not @t387)) % 33.89/34.29 (define @t389 () (or @t388 @t386 @t385)) % 33.89/34.29 (define @t390 () (@list @t389)) % 33.89/34.29 (define @t391 () (or @t24 @t182 @t42)) % 33.89/34.29 (define @t392 () (@list @t186)) % 33.89/34.29 (define @t393 () (tptp.v4_lattices @t186)) % 33.89/34.29 (define @t394 () (and @t377 @t393 (tptp.v5_lattices @t186) (tptp.v6_lattices @t186) (tptp.v7_lattices @t186) (tptp.v8_lattices @t186) (tptp.v9_lattices @t186))) % 33.89/34.29 (define @t395 () (or @t244 @t247 @t246 @t394)) % 33.89/34.29 (define @t396 () (@list true false false false)) % 33.89/34.29 (define @t397 () (tptp.l2_lattices @t186)) % 33.89/34.29 (define @t398 () (and (tptp.l1_lattices @t186) @t397)) % 33.89/34.29 (define @t399 () (or @t244 @t398)) % 33.89/34.29 (define @t400 () (tptp.k1_lattices @t186 @t302 @t301)) % 33.89/34.29 (define @t401 () (= @t382 @t400)) % 33.89/34.29 (define @t402 () (not @t397)) % 33.89/34.29 (define @t403 () (not @t393)) % 33.89/34.29 (define @t404 () (or @t247 @t403 @t402 @t388 @t386 @t401)) % 33.89/34.29 (define @t405 () (@list true false false false false false)) % 33.89/34.29 (define @t406 () (@var "BOUND_VARIABLE_7990" $$unsorted)) % 33.89/34.29 (define @t407 () (@var "BOUND_VARIABLE_7988" $$unsorted)) % 33.89/34.29 (define @t408 () (= (tptp.k1_lattices @t4 @t407 @t406) (tptp.k2_binop_1 @t10 @t10 @t10 @t9 @t407 @t406))) % 33.89/34.29 (define @t409 () (not (tptp.m1_subset_1 @t406 @t10))) % 33.89/34.29 (define @t410 () (not (tptp.m1_subset_1 @t407 @t10))) % 33.89/34.29 (define @t411 () (or @t410 @t409 @t408)) % 33.89/34.29 (define @t412 () (or @t24 @t294 @t411)) % 33.89/34.29 (define @t413 () (forall (@list @t4 @t407 @t406) @t412)) % 33.89/34.29 (define @t414 () (@list @t407 @t406)) % 33.89/34.29 (define @t415 () (forall @t414 @t412)) % 33.89/34.29 (define @t416 () (forall @t414 @t411)) % 33.89/34.29 (define @t417 () (@var "BOUND_VARIABLE_7969" $$unsorted)) % 33.89/34.29 (define @t418 () (or @t24 @t294 @t416)) % 33.89/34.29 (define @t419 () (= (tptp.k1_lattices @t4 @t1 @t417) (tptp.k2_binop_1 @t10 @t10 @t10 @t9 @t1 @t417))) % 33.89/34.29 (define @t420 () (not (tptp.m1_subset_1 @t417 @t10))) % 33.89/34.29 (define @t421 () (or @t293 @t420 @t419)) % 33.89/34.29 (define @t422 () (@list @t1 @t417)) % 33.89/34.29 (define @t423 () (forall @t422 @t421)) % 33.89/34.29 (define @t424 () (or @t24 @t294 @t423)) % 33.89/34.29 (define @t425 () (or @t420 @t419)) % 33.89/34.29 (define @t426 () (or @t293 @t425)) % 33.89/34.29 (define @t427 () (forall @t422 @t426)) % 33.89/34.29 (define @t428 () (@list @t417)) % 33.89/34.29 (define @t429 () (forall @t428 @t426)) % 33.89/34.29 (define @t430 () (forall @t428 @t425)) % 33.89/34.29 (define @t431 () (or @t293 @t430)) % 33.89/34.29 (define @t432 () (forall @t6 (or @t292 @t63))) % 33.89/34.29 (define @t433 () (= @t400 (tptp.k2_binop_1 @t189 @t189 @t189 @t188 @t302 @t301))) % 33.89/34.30 (define @t434 () (or @t247 @t402 @t388 @t386 @t433)) % 33.89/34.30 (define @t435 () (@list @t190 @t302 @t301)) % 33.89/34.30 (define @t436 () (tptp.m1_subset_1 @t301 @t193)) % 33.89/34.30 (define @t437 () (tptp.m1_subset_1 @t302 @t193)) % 33.89/34.30 (define @t438 () (tptp.k2_binop_1 @t193 @t193 @t193 @t192 @t302 @t301)) % 33.89/34.30 (define @t439 () (tptp.k1_lattices @t190 @t302 @t301)) % 33.89/34.30 (define @t440 () (= @t439 @t438)) % 33.89/34.30 (define @t441 () (not @t436)) % 33.89/34.30 (define @t442 () (not @t437)) % 33.89/34.30 (define @t443 () (or @t251 @t276 @t442 @t441 @t440)) % 33.89/34.30 (define @t444 () (tptp.v4_lattices @t190)) % 33.89/34.30 (define @t445 () (and @t363 @t444 (tptp.v5_lattices @t190) (tptp.v6_lattices @t190) (tptp.v7_lattices @t190) (tptp.v8_lattices @t190) (tptp.v9_lattices @t190))) % 33.89/34.30 (define @t446 () (or @t248 @t251 @t250 @t445)) % 33.89/34.30 (define @t447 () (tptp.k3_lattices @t190 @t302 @t301)) % 33.89/34.30 (define @t448 () (= @t447 @t439)) % 33.89/34.30 (define @t449 () (not @t444)) % 33.89/34.30 (define @t450 () (or @t251 @t449 @t276 @t442 @t441 @t448)) % 33.89/34.30 (define @t451 () (@var "BOUND_VARIABLE_8040" $$unsorted)) % 33.89/34.30 (define @t452 () (= (tptp.m2_filter_2 @t451 @t4) (forall @t299 (or @t292 @t307 (= (and (tptp.r2_hidden @t2 @t451) (tptp.r2_hidden @t297 @t451)) (tptp.r2_hidden @t306 @t451)))))) % 33.89/34.30 (define @t453 () (not (tptp.m2_lattice4 @t451 @t4))) % 33.89/34.30 (define @t454 () (tptp.v1_xboole_0 @t451)) % 33.89/34.30 (define @t455 () (or @t454 @t453 @t452)) % 33.89/34.30 (define @t456 () (or @t24 @t182 @t181 @t455)) % 33.89/34.30 (define @t457 () (forall (@list @t4 @t451) @t456)) % 33.89/34.30 (define @t458 () (@list @t451)) % 33.89/34.30 (define @t459 () (forall @t458 @t456)) % 33.89/34.30 (define @t460 () (forall @t458 @t455)) % 33.89/34.30 (define @t461 () (or @t24 @t182 @t181 @t460)) % 33.89/34.30 (define @t462 () (= @t78 @t321)) % 33.89/34.30 (define @t463 () (or @t81 @t347 @t462)) % 33.89/34.30 (define @t464 () (forall @t20 @t463)) % 33.89/34.30 (define @t465 () (or @t24 @t182 @t181 @t464)) % 33.89/34.30 (define @t466 () (forall @t299 (or (not (tptp.m1_subset_1 @t2 @t193)) (not (tptp.m1_subset_1 @t297 @t193)) (= @t298 (tptp.r2_hidden (tptp.k3_lattices @t190 @t2 @t297) @t237))))) % 33.89/34.30 (define @t467 () (= @t239 @t466)) % 33.89/34.30 (define @t468 () (or @t251 @t250 @t248 @t365 @t373 @t467)) % 33.89/34.30 (define @t469 () (tptp.r2_hidden @t447 @t237)) % 33.89/34.30 (define @t470 () (= @t384 @t469)) % 33.89/34.30 (define @t471 () (or @t442 @t441 @t470)) % 33.89/34.30 (define @t472 () (not @t470)) % 33.89/34.30 (define @t473 () (not @t384)) % 33.89/34.30 (define @t474 () (not @t469)) % 33.89/34.30 (define @t475 () (not @t448)) % 33.89/34.30 (define @t476 () (not @t440)) % 33.89/34.30 (define @t477 () (not @t433)) % 33.89/34.30 (define @t478 () (not @t401)) % 33.89/34.30 (define @t479 () (not @t280)) % 33.89/34.30 (define @t480 () (not @t281)) % 33.89/34.30 (define @t481 () (not @t383)) % 33.89/34.30 (define @t482 () (and @t281 @t280 @t481 @t401 @t433 @t440 @t448)) % 33.89/34.30 (define @t483 () (and @t281 @t280 @t383 @t401 @t433 @t440 @t448)) % 33.89/34.30 (assume @p1 @t30) % 33.89/34.30 (assume @p2 (forall @t28 (=> @t22 (=> @t31 (= @t4 @t11))))) % 33.89/34.30 (assume @p3 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t1 @t4))))) % 33.89/34.30 (assume @p4 (forall @t28 (=> @t35 @t34))) % 33.89/34.30 (assume @p5 @t45) % 33.89/34.30 (assume @p6 (forall @t28 (=> @t48 @t46))) % 33.89/34.30 (assume @p7 (forall @t51 (=> @t50 (tptp.v1_relat_1 @t2)))) % 33.89/34.30 (assume @p8 (forall @t28 (=> @t54 @t53))) % 33.89/34.30 (assume @p9 (forall @t28 (=> @t22 (=> @t42 @t43)))) % 33.89/34.30 (assume @p10 (forall @t33 (= @t55 (tptp.k2_tarski @t1 @t4)))) % 33.89/34.30 (assume @p11 (forall @t51 (=> @t60 (= @t56 (tptp.k3_lattices @t4 @t2 @t1))))) % 33.89/34.30 (assume @p12 (forall @t28 (=> @t61 (forall (@list @t1 @t2) (= (tptp.k1_binop_1 @t4 @t1 @t2) (tptp.k1_funct_1 @t4 (tptp.k4_tarski @t1 @t2))))))) % 33.89/34.30 (assume @p13 @t69) % 33.89/34.30 (assume @p14 @t87) % 33.89/34.30 (assume @p15 (forall @t33 (= (tptp.k4_tarski @t4 @t1) (tptp.k2_tarski @t55 @t88)))) % 33.89/34.30 (assume @p16 (forall @t51 (=> @t98 (and @t90 (tptp.l3_lattices @t89))))) % 33.89/34.30 (assume @p17 true) % 33.89/34.30 (assume @p18 (forall @t51 (=> (and @t25 @t59 @t58 @t57) (tptp.m1_subset_1 @t62 @t10)))) % 33.89/34.30 (assume @p19 (forall @t103 (=> @t102 (tptp.m1_subset_1 @t101 @t2)))) % 33.89/34.30 (assume @p20 (forall @t51 (=> @t60 (tptp.m1_subset_1 @t56 @t10)))) % 33.89/34.30 (assume @p21 (forall @t28 (=> @t105 @t104))) % 33.89/34.30 (assume @p22 (forall @t28 (=> @t59 @t104))) % 33.89/34.30 (assume @p23 @t107) % 33.89/34.30 (assume @p24 @t110) % 33.89/34.30 (assume @p25 @t115) % 33.89/34.30 (assume @p26 (forall @t51 (=> @t116 @t50))) % 33.89/34.30 (assume @p27 @t121) % 33.89/34.30 (assume @p28 @t125) % 33.89/34.30 (assume @p29 (exists @t28 @t105)) % 33.89/34.30 (assume @p30 (exists @t28 @t104)) % 33.89/34.30 (assume @p31 (exists @t28 @t59)) % 33.89/34.30 (assume @p32 (exists @t28 @t22)) % 33.89/34.30 (assume @p33 (forall @t33 (exists @t6 @t126))) % 33.89/34.30 (assume @p34 (forall @t28 (exists @t20 (tptp.m1_subset_1 @t1 @t4)))) % 33.89/34.30 (assume @p35 (forall @t28 (=> @t26 (exists @t20 @t78)))) % 33.89/34.30 (assume @p36 (forall @t28 (=> @t26 (exists @t20 @t80)))) % 33.89/34.30 (assume @p37 (forall @t33 (exists @t6 @t116))) % 33.89/34.30 (assume @p38 (forall @t28 (=> @t127 (not (tptp.v1_xboole_0 @t10))))) % 33.89/34.30 (assume @p39 (forall @t28 (not (tptp.v1_xboole_0 @t128)))) % 33.89/34.30 (assume @p40 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 33.89/34.30 (assume @p41 (forall @t28 (=> (and @t25 @t41 @t59) (and @t130 @t123 @t122 (tptp.v1_binop_1 @t9 @t10) @t129)))) % 33.89/34.30 (assume @p42 (forall @t28 @t131)) % 33.89/34.30 (assume @p43 (forall @t28 (=> (and @t25 @t40 @t59) (and @t130 @t123 @t122 (tptp.v2_binop_1 @t9 @t10) @t129)))) % 33.89/34.30 (assume @p44 (forall @t51 (=> (and @t46 @t97 @t96 @t95 @t94 @t93 @t92) (and (not (tptp.v3_struct_0 @t89)) @t90)))) % 33.89/34.30 (assume @p45 (forall @t28 (and @t131 (tptp.v1_finset_1 @t88) (tptp.v1_realset1 @t88)))) % 33.89/34.30 (assume @p46 (forall @t33 (not (tptp.v1_xboole_0 @t55)))) % 33.89/34.30 (assume @p47 (forall @t28 (=> (and @t25 @t39 @t105) (and @t133 @t119 @t118 (tptp.v1_binop_1 @t8 @t10) @t132)))) % 33.89/34.30 (assume @p48 (forall @t33 (=> (and @t46 @t82) (not (tptp.v1_xboole_0 @t49))))) % 33.89/34.30 (assume @p49 (forall @t28 (=> (and @t25 @t38 @t105) (and @t133 @t119 @t118 (tptp.v2_binop_1 @t8 @t10) @t132)))) % 33.89/34.30 (assume @p50 @t139) % 33.89/34.30 (assume @p51 (exists @t28 @t61)) % 33.89/34.30 (assume @p52 (forall @t28 (=> @t26 (exists @t20 (and @t80 @t82))))) % 33.89/34.30 (assume @p53 (exists @t28 (and @t46 @t47))) % 33.89/34.30 (assume @p54 (forall @t28 (=> @t46 (exists @t20 (and @t140 @t82))))) % 33.89/34.30 (assume @p55 (exists @t28 @t35)) % 33.89/34.30 (assume @p56 (exists @t28 @t54)) % 33.89/34.30 (assume @p57 (exists @t28 (and @t46 @t48))) % 33.89/34.30 (assume @p58 (forall @t28 (exists @t20 (and @t140 @t81)))) % 33.89/34.30 (assume @p59 (exists @t28 @t46)) % 33.89/34.30 (assume @p60 (exists @t28 @t53)) % 33.89/34.30 (assume @p61 (exists @t28 (and @t22 @t31))) % 33.89/34.30 (assume @p62 (exists @t28 (and @t104 @t25))) % 33.89/34.30 (assume @p63 (forall @t28 (=> @t127 (exists @t20 (and @t112 @t82))))) % 33.89/34.30 (assume @p64 (exists @t28 (and @t22 @t25 @t31))) % 33.89/34.30 (assume @p65 (exists @t28 (and @t22 @t25 @t31 @t41 @t40 @t39 @t38 @t37 @t36 @t23))) % 33.89/34.30 (assume @p66 (forall @t103 (=> @t102 (= @t101 (tptp.k1_binop_1 @t70 @t100 @t99))))) % 33.89/34.30 (assume @p67 @t142) % 33.89/34.30 (assume @p68 @t143) % 33.89/34.30 (assume @p69 (forall @t33 (tptp.r1_tarski @t4 @t4))) % 33.89/34.30 (assume @p70 @t149) % 33.89/34.30 (assume @p71 (forall @t33 (=> @t32 @t150))) % 33.89/34.30 (assume @p72 (forall @t33 (=> @t150 (or @t81 @t32)))) % 33.89/34.30 (assume @p73 (forall @t33 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t4 @t1)))) % 33.89/34.30 (assume @p74 (forall @t51 (=> (and @t32 @t151) (tptp.m1_subset_1 @t4 @t2)))) % 33.89/34.30 (assume @p75 (forall @t51 (not (and @t32 @t151 (tptp.v1_xboole_0 @t2))))) % 33.89/34.30 (assume @p76 (forall @t28 (=> @t35 (= @t4 tptp.k1_xboole_0)))) % 33.89/34.30 (assume @p77 (forall @t33 (not (and @t32 @t81)))) % 33.89/34.30 (assume @p78 (forall @t33 (not (and @t35 (not (= @t4 @t1)) @t81)))) % 33.89/34.30 (step @p79 :rule aci_norm :args ((= @t164 (or @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155)))) % 33.89/34.30 (step @p80 :rule cong :premises (@p79) :args (@t165)) % 33.89/34.30 (step @p81 :rule quant-merge-prenex :args ((= (forall @t51 @t167) @t165))) % 33.89/34.30 (step @p82 :rule alpha_equiv :args (@t168 (@list @t154 @t153 @t152) (@list @t70 @t100 @t99))) % 33.89/34.30 (step @p83 :rule refl :args (@t157)) % 33.89/34.30 (step @p84 :rule refl :args (@t158)) % 33.89/34.30 (step @p85 :rule refl :args (@t159)) % 33.89/34.30 (step @p86 :rule refl :args (@t160)) % 33.89/34.30 (step @p87 :rule refl :args (@t161)) % 33.89/34.30 (step @p88 :rule refl :args (@t162)) % 33.89/34.30 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85 @p84 @p83 @p82) :args (@t169)) % 33.89/34.30 (step @p90 :rule quant-miniscope-or :args ((= @t167 @t169))) % 33.89/34.30 (step @p91 :rule trans :premises (@p90 @p89)) % 33.89/34.30 (step @p92 :rule symm :premises (@p91)) % 33.89/34.30 (step @p93 :rule cong :premises (@p92) :args ((forall @t51 @t171))) % 33.89/34.30 (step @p94 :rule trans :premises (@p93 @p81)) % 33.89/34.30 (step @p95 :rule trans :premises (@p94 @p80)) % 33.89/34.30 (step @p96 :rule aci_norm :args ((= (or @t172 @t170) @t171))) % 33.89/34.30 (step @p97 :rule refl :args (@t170)) % 33.89/34.30 (step @p98 :rule aci_norm :args ((= (or @t162 (or @t161 (or @t160 (or @t159 (or @t158 @t157))))) @t172))) % 33.89/34.30 (step @p99 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 33.89/34.30 (step @p100 :rule nary_cong :premises (@p85 @p99) :args ((or @t159 (not (and @t93 @t92))))) % 33.89/34.30 (step @p101 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92))) % 33.89/34.30 (step @p102 :rule trans :premises (@p101 @p100)) % 33.89/34.30 (step @p103 :rule nary_cong :premises (@p86 @p102) :args ((or @t160 (not (and @t94 @t93 @t92))))) % 33.89/34.30 (step @p104 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93 @t92))) % 33.89/34.30 (step @p105 :rule trans :premises (@p104 @p103)) % 33.89/34.30 (step @p106 :rule nary_cong :premises (@p87 @p105) :args ((or @t161 (not (and @t95 @t94 @t93 @t92))))) % 33.89/34.30 (step @p107 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94 @t93 @t92))) % 33.89/34.30 (step @p108 :rule trans :premises (@p107 @p106)) % 33.89/34.30 (step @p109 :rule nary_cong :premises (@p88 @p108) :args ((or @t162 (not (and @t96 @t95 @t94 @t93 @t92))))) % 33.89/34.30 (step @p110 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95 @t94 @t93 @t92))) % 33.89/34.30 (step @p111 :rule trans :premises (@p110 @p109)) % 33.89/34.30 (step @p112 :rule trans :premises (@p111 @p98)) % 33.89/34.30 (step @p113 :rule nary_cong :premises (@p112 @p97) :args ((or (not @t98) @t170))) % 33.89/34.30 (step @p114 :rule trans :premises (@p113 @p96)) % 33.89/34.30 (step @p115 :rule bool-impl-elim :args (@t98 @t170)) % 33.89/34.30 (step @p116 :rule trans :premises (@p115 @p114)) % 33.89/34.30 (step @p117 :rule cong :premises (@p116) :args ((forall @t51 (=> @t98 @t170)))) % 33.89/34.30 (step @p118 :rule trans :premises (@p117 @p95)) % 33.89/34.30 (step @p119 :rule bool-impl-elim :args (@t135 @t134)) % 33.89/34.30 (step @p120 :rule cong :premises (@p119) :args (@t137)) % 33.89/34.30 (step @p121 :rule refl :args (@t98)) % 33.89/34.30 (step @p122 :rule cong :premises (@p121 @p120) :args (@t138)) % 33.89/34.30 (step @p123 :rule cong :premises (@p122) :args (@t139)) % 33.89/34.30 (step @p124 :rule trans :premises (@p123 @p118)) % 33.89/34.30 (step @p125 :rule eq_resolve :premises (@p50 @p124)) % 33.89/34.30 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t193 @t192 @t191 @t189 @t188 @t187))) % 33.89/34.30 (step @p127 :rule eq-symm :args (@t195 @t196)) % 33.89/34.30 (step @p128 :rule refl :args (@t143)) % 33.89/34.30 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t143 @t197))) % 33.89/34.30 (assume-push @p770 @t143) % 33.89/34.30 (step @p131 :rule instantiate :premises (@p68) :args ((@list @t194 @t193 @t191))) % 33.89/34.30 (step-pop @p771 :rule scope :premises (@p131)) % 33.89/34.30 (step @p132 :rule process_scope :premises (@p771) :args (@t197)) % 33.89/34.30 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 33.89/34.30 (step @p135 :rule implies_elim :premises (@p134)) % 33.89/34.30 (step @p136 :rule chain_m_resolution :premises (@p135 @p68) :args (@t198 @t199 @t200)) % 33.89/34.30 (step @p137 :rule bool-impl-elim :args (@t105 @t120)) % 33.89/34.30 (step @p138 :rule cong :premises (@p137) :args (@t121)) % 33.89/34.30 (step @p139 :rule eq_resolve :premises (@p27 @p138)) % 33.89/34.30 (step @p140 :rule instantiate :premises (@p139) :args (@t201)) % 33.89/34.30 (step @p141 :rule bool-impl-elim :args (@t22 @t106)) % 33.89/34.30 (step @p142 :rule cong :premises (@p141) :args (@t107)) % 33.89/34.30 (step @p143 :rule eq_resolve :premises (@p23 @p142)) % 33.89/34.30 (step @p144 :rule instantiate :premises (@p143) :args (@t201)) % 33.89/34.30 (step @p145 :rule aci_norm :args ((= @t203 @t183))) % 33.89/34.30 (step @p146 :rule cong :premises (@p145) :args (@t204)) % 33.89/34.30 (step @p147 :rule quant-merge-prenex :args ((= (forall @t28 @t206) @t204))) % 33.89/34.30 (step @p148 :rule alpha_equiv :args (@t207 (@list @t173 @t174) (@list @t1 @t208))) % 33.89/34.30 (step @p149 :rule refl :args (@t181)) % 33.89/34.30 (step @p150 :rule refl :args (@t182)) % 33.89/34.30 (step @p151 :rule refl :args (@t24)) % 33.89/34.30 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148) :args (@t209)) % 33.89/34.30 (step @p153 :rule quant-miniscope-or :args ((= @t206 @t209))) % 33.89/34.30 (step @p154 :rule trans :premises (@p153 @p152)) % 33.89/34.30 (step @p155 :rule symm :premises (@p154)) % 33.89/34.30 (step @p156 :rule cong :premises (@p155) :args ((forall @t28 @t218))) % 33.89/34.30 (step @p157 :rule trans :premises (@p156 @p147)) % 33.89/34.30 (step @p158 :rule trans :premises (@p157 @p146)) % 33.89/34.30 (step @p159 :rule aci_norm :args ((= (or @t219 @t217) @t218))) % 33.89/34.30 (step @p160 :rule refl :args (@t217)) % 33.89/34.30 (step @p161 :rule bool-double-not-elim :args (@t24)) % 33.89/34.30 (step @p162 :rule nary_cong :premises (@p161 @p150 @p149) :args (@t221)) % 33.89/34.30 (step @p163 :rule aci_norm :args ((= (or @t220 (or @t182 @t181)) @t221))) % 33.89/34.30 (step @p164 :rule trans :premises (@p163 @p162)) % 33.89/34.30 (step @p165 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 33.89/34.30 (step @p166 :rule refl :args (@t220)) % 33.89/34.30 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t220 (not (and @t23 @t22))))) % 33.89/34.30 (step @p168 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22))) % 33.89/34.30 (step @p169 :rule trans :premises (@p168 @p167)) % 33.89/34.30 (step @p170 :rule trans :premises (@p169 @p164)) % 33.89/34.30 (step @p171 :rule nary_cong :premises (@p170 @p160) :args ((or @t222 @t217))) % 33.89/34.30 (step @p172 :rule trans :premises (@p171 @p159)) % 33.89/34.30 (step @p173 :rule bool-impl-elim :args (@t26 @t217)) % 33.89/34.30 (step @p174 :rule trans :premises (@p173 @p172)) % 33.89/34.30 (step @p175 :rule cong :premises (@p174) :args ((forall @t28 (=> @t26 @t217)))) % 33.89/34.30 (step @p176 :rule trans :premises (@p175 @p158)) % 33.89/34.30 (step @p177 :rule aci_norm :args ((= @t224 @t215))) % 33.89/34.30 (step @p178 :rule cong :premises (@p177) :args (@t225)) % 33.89/34.30 (step @p179 :rule 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(@p588 @p488 @p535 @p505 @p499 @p586) :args (@t433 @t369 (@list @t247 @t397 @t387 @t381 @t434))) % 33.89/34.30 (step @p590 :rule instantiate :premises (@p585) :args (@t435)) % 33.89/34.30 (step @p591 :rule true_intro :premises (@p499)) % 33.89/34.30 (step @p592 :rule refl :args (@t301)) % 33.89/34.30 (step @p593 :rule cong :premises (@p592 @p295) :args (@t436)) % 33.89/34.30 (step @p594 :rule trans :premises (@p593 @p591)) % 33.89/34.30 (step @p595 :rule true_elim :premises (@p594)) % 33.89/34.30 (step @p596 :rule true_intro :premises (@p505)) % 33.89/34.30 (step @p597 :rule refl :args (@t302)) % 33.89/34.30 (step @p598 :rule cong :premises (@p597 @p295) :args (@t437)) % 33.89/34.30 (step @p599 :rule trans :premises (@p598 @p596)) % 33.89/34.30 (step @p600 :rule true_elim :premises (@p599)) % 33.89/34.30 (step @p601 :rule cnf_or_pos :args (@t443)) % 33.89/34.30 (step @p602 :rule reordering :premises (@p601) :args ((or @t251 @t276 @t442 @t441 @t440 (not @t443)))) % 33.89/34.30 (step @p603 :rule chain_m_resolution :premises (@p602 @p453 @p268 @p600 @p595 @p590) :args (@t440 @t369 (@list @t251 @t255 @t437 @t436 @t443))) % 33.89/34.30 (step @p604 :rule instantiate :premises (@p324) :args (@t435)) % 33.89/34.30 (step @p605 :rule instantiate :premises (@p521) :args (@t201)) % 33.89/34.30 (step @p606 :rule cnf_or_pos :args (@t446)) % 33.89/34.30 (step @p607 :rule reordering :premises (@p606) :args ((or @t251 @t250 @t248 @t445 (not @t446)))) % 33.89/34.30 (step @p608 :rule chain_m_resolution :premises (@p607 @p453 @p451 @p231 @p605) :args (@t445 @t396 (@list @t251 @t249 @t236 @t446))) % 33.89/34.30 (step @p609 :rule cnf_and_pos :args (@t445 1)) % 33.89/34.30 (step @p610 :rule reordering :premises (@p609) :args ((or @t444 (not @t445)))) % 33.89/34.30 (step @p611 :rule chain_m_resolution :premises (@p610 @p608) :args (@t444 @t199 (@list @t445))) % 33.89/34.30 (step @p612 :rule cnf_or_pos :args (@t450)) % 33.89/34.30 (step @p613 :rule reordering :premises (@p612) :args ((or @t251 @t276 @t449 @t442 @t441 @t448 (not @t450)))) % 33.89/34.30 (step @p614 :rule chain_m_resolution :premises (@p613 @p453 @p268 @p611 @p600 @p595 @p604) :args (@t448 @t405 (@list @t251 @t255 @t444 @t437 @t436 @t450))) % 33.89/34.30 (step @p615 :rule cnf_or_neg :args (@t389 2)) % 33.89/34.30 (step @p616 :rule chain_m_resolution :premises (@p615 @p492) :args ((not @t385) @t253 @t390)) % 33.89/34.30 (step @p617 :rule cnf_equiv_neg2 :args (@t385)) % 33.89/34.30 (step @p618 :rule aci_norm :args ((= @t456 (or @t24 @t182 @t181 @t454 @t453 @t452)))) % 33.89/34.30 (step @p619 :rule cong :premises (@p618) :args (@t457)) % 33.89/34.30 (step @p620 :rule quant-merge-prenex :args ((= (forall @t28 @t459) @t457))) % 33.89/34.30 (step @p621 :rule alpha_equiv :args (@t460 (@list @t451) @t317)) % 33.89/34.30 (step @p622 :rule nary_cong :premises (@p151 @p150 @p149 @p621) :args (@t461)) % 33.89/34.30 (step @p623 :rule quant-miniscope-or :args ((= @t459 @t461))) % 33.89/34.30 (step @p624 :rule trans :premises (@p623 @p622)) % 33.89/34.30 (step @p625 :rule symm :premises (@p624)) % 33.89/34.30 (step @p626 :rule cong :premises (@p625) :args ((forall @t28 @t465))) % 33.89/34.30 (step @p627 :rule trans :premises (@p626 @p620)) % 33.89/34.30 (step @p628 :rule trans :premises (@p627 @p619)) % 33.89/34.30 (step @p629 :rule aci_norm :args ((= (or @t219 @t464) @t465))) % 33.89/34.30 (step @p630 :rule refl :args (@t464)) % 33.89/34.30 (step @p631 :rule nary_cong :premises (@p170 @p630) :args ((or @t222 @t464))) % 33.89/34.30 (step @p632 :rule trans :premises (@p631 @p629)) % 33.89/34.30 (step @p633 :rule bool-impl-elim :args (@t26 @t464)) % 33.89/34.30 (step @p634 :rule trans :premises (@p633 @p632)) % 33.89/34.30 (step @p635 :rule cong :premises (@p634) :args ((forall @t28 (=> @t26 @t464)))) % 33.89/34.30 (step @p636 :rule trans :premises (@p635 @p628)) % 33.89/34.30 (step @p637 :rule aci_norm :args ((= (or (or @t81 @t347) @t462) @t463))) % 33.89/34.30 (step @p638 :rule refl :args (@t462)) % 33.89/34.30 (step @p639 :rule refl :args (@t347)) % 33.89/34.30 (step @p640 :rule nary_cong :premises (@p348 @p639) :args ((or @t327 @t347))) % 33.89/34.30 (step @p641 :rule bool-and-de-morgan :args (@t82 @t80 true)) % 33.89/34.30 (step @p642 :rule trans :premises (@p641 @p640)) % 33.89/34.30 (step @p643 :rule nary_cong :premises (@p642 @p638) :args ((or (not @t83) @t462))) % 33.89/34.30 (step @p644 :rule trans :premises (@p643 @p637)) % 33.89/34.30 (step @p645 :rule bool-impl-elim :args (@t83 @t462)) % 33.89/34.30 (step @p646 :rule trans :premises (@p645 @p644)) % 33.89/34.30 (step @p647 :rule cong :premises (@p646) :args ((forall @t20 (=> @t83 @t462)))) % 33.89/34.30 (step @p648 :rule cong :premises (@p357 @p377) :args (@t79)) % 33.89/34.30 (step @p649 :rule refl :args (@t83)) % 33.89/34.30 (step @p650 :rule cong :premises (@p649 @p648) :args (@t84)) % 33.89/34.30 (step @p651 :rule cong :premises (@p650) :args (@t85)) % 33.89/34.30 (step @p652 :rule trans :premises (@p651 @p647)) % 33.89/34.30 (step @p653 :rule cong :premises (@p218 @p652) :args (@t86)) % 33.89/34.30 (step @p654 :rule cong :premises (@p653) :args (@t87)) % 33.89/34.30 (step @p655 :rule trans :premises (@p654 @p636)) % 33.89/34.30 (step @p656 :rule eq_resolve :premises (@p14 @p655)) % 33.89/34.30 (step @p657 :rule instantiate :premises (@p656) :args (@t350)) % 33.89/34.30 (step @p658 :rule cnf_or_pos :args (@t468)) % 33.89/34.30 (step @p659 :rule reordering :premises (@p658) :args ((or @t251 @t250 @t248 @t365 @t373 @t467 (not @t468)))) % 33.89/34.30 (step @p660 :rule chain_m_resolution :premises (@p659 @p453 @p451 @p231 @p472 @p459 @p657) :args (@t467 (@list true false false true false false) (@list @t251 @t249 @t236 @t365 @t364 @t468))) % 33.89/34.30 (step @p661 :rule cnf_equiv_pos1 :args (@t467)) % 33.89/34.30 (step @p662 :rule reordering :premises (@p661) :args ((or @t240 @t466 (not @t467)))) % 33.89/34.30 (step @p663 :rule chain_m_resolution :premises (@p662 @p445 @p660) :args (@t466 @t259 (@list @t239 @t467))) % 33.89/34.30 (step @p664 :rule instantiate :premises (@p663) :args ((@list @t302 @t301))) % 33.89/34.30 (step @p665 :rule cnf_or_pos :args (@t471)) % 33.89/34.30 (step @p666 :rule reordering :premises (@p665) :args ((or @t442 @t441 @t470 (not @t471)))) % 33.89/34.30 (step @p667 :rule chain_m_resolution :premises (@p666 @p600 @p595 @p664) :args (@t470 (@list false false false) (@list @t437 @t436 @t471))) % 33.89/34.30 (step @p668 :rule cnf_equiv_pos1 :args (@t470)) % 33.89/34.30 (step @p669 :rule reordering :premises (@p668) :args ((or @t473 @t469 @t472))) % 33.89/34.30 (step @p670 :rule refl :args (@t474)) % 33.89/34.30 (step @p671 :rule refl :args (@t475)) % 33.89/34.30 (step @p672 :rule refl :args (@t476)) % 33.89/34.30 (step @p673 :rule refl :args (@t477)) % 33.89/34.30 (step @p674 :rule refl :args (@t478)) % 33.89/34.30 (step @p675 :rule bool-double-not-elim :args (@t383)) % 33.89/34.30 (step @p676 :rule refl :args (@t479)) % 33.89/34.30 (step @p677 :rule refl :args (@t480)) % 33.89/34.30 (step @p678 :rule nary_cong :premises (@p677 @p676 @p675 @p674 @p673 @p672 @p671 @p670) :args ((or @t480 @t479 (not @t481) @t478 @t477 @t476 @t475 @t474))) % 33.89/34.30 (assume-push @p774 @t281) % 33.89/34.30 (assume-push @p775 @t280) % 33.89/34.30 (assume-push @p776 @t481) % 33.89/34.30 (assume-push @p777 @t401) % 33.89/34.30 (assume-push @p778 @t433) % 33.89/34.30 (assume-push @p779 @t440) % 33.89/34.30 (assume-push @p780 @t448) % 33.89/34.30 (assume-push @p781 @t481) % 33.89/34.30 (assume-push @p782 @t401) % 33.89/34.30 (assume-push @p783 @t433) % 33.89/34.30 (assume-push @p784 @t281) % 33.89/34.30 (assume-push @p785 @t280) % 33.89/34.30 (assume-push @p786 @t440) % 33.89/34.30 (assume-push @p787 @t448) % 33.89/34.30 (step @p693 :rule false_intro :premises (@p776)) % 33.89/34.30 (step @p694 :rule symm :premises (@p538)) % 33.89/34.30 (step @p695 :rule symm :premises (@p589)) % 33.89/34.30 (step @p696 :rule cong :premises (@p295 @p295 @p295 @p298 @p597 @p592) :args (@t438)) % 33.89/34.30 (step @p697 :rule trans :premises (@p614 @p603 @p696 @p695 @p694)) % 33.89/34.30 (step @p698 :rule cong :premises (@p697 @p466) :args (@t469)) % 33.89/34.30 (step @p699 :rule trans :premises (@p698 @p693)) % 33.89/34.30 (step @p700 :rule false_elim :premises (@p699)) % 33.89/34.30 (step-pop @p788 :rule scope :premises (@p700)) % 33.89/34.30 (step-pop @p789 :rule scope :premises (@p788)) % 33.89/34.30 (step-pop @p790 :rule scope :premises (@p789)) % 33.89/34.30 (step-pop @p791 :rule scope :premises (@p790)) % 33.89/34.30 (step-pop @p792 :rule scope :premises (@p791)) % 33.89/34.30 (step-pop @p793 :rule scope :premises (@p792)) % 33.89/34.30 (step-pop @p794 :rule scope :premises (@p793)) % 33.89/34.30 (step @p701 :rule process_scope :premises (@p794) :args (@t474)) % 33.89/34.30 (step @p709 :rule and_intro :premises (@p776 @p538 @p589 @p295 @p298 @p603 @p614)) % 33.89/34.30 (step @p710 :rule modus_ponens :premises (@p709 @p701)) % 33.89/34.30 (step-pop @p795 :rule scope :premises (@p710)) % 33.89/34.30 (step-pop @p796 :rule scope :premises (@p795)) % 33.89/34.30 (step-pop @p797 :rule scope :premises (@p796)) % 33.89/34.30 (step-pop @p798 :rule scope :premises (@p797)) % 33.89/34.30 (step-pop @p799 :rule scope :premises (@p798)) % 33.89/34.30 (step-pop @p800 :rule scope :premises (@p799)) % 33.89/34.30 (step-pop @p801 :rule scope :premises (@p800)) % 33.89/34.30 (step @p711 :rule process_scope :premises (@p801) :args (@t474)) % 33.89/34.30 (step @p719 :rule implies_elim :premises (@p711)) % 33.89/34.30 (step @p720 :rule cnf_and_neg :args (@t482)) % 33.89/34.30 (step @p721 :rule resolution :premises (@p720 @p719) :args (true @t482)) % 33.89/34.30 (step @p722 :rule eq_resolve :premises (@p721 @p678)) % 33.89/34.30 (step @p723 :rule chain_m_resolution :premises (@p722 @p614 @p603 @p589 @p538 @p298 @p295 @p669 @p667 @p617 @p616) :args (@t473 (@list false false false false false false false false true true) (@list @t448 @t440 @t433 @t401 @t280 @t281 @t469 @t470 @t383 @t385))) % 33.89/34.30 (step @p724 :rule cnf_equiv_neg1 :args (@t385)) % 33.89/34.30 (step @p725 :rule reordering :premises (@p724) :args ((or @t384 @t383 @t385))) % 33.89/34.30 (step @p726 :rule chain_m_resolution :premises (@p725 @p723 @p616) :args (@t383 (@list true true) (@list @t384 @t385))) % 33.89/34.30 (step @p727 :rule cnf_equiv_pos2 :args (@t470)) % 33.89/34.30 (step @p728 :rule reordering :premises (@p727) :args ((or @t384 @t474 @t472))) % 33.89/34.30 (step @p729 :rule chain_m_resolution :premises (@p728 @p723 @p667) :args (@t474 (@list true false) (@list @t384 @t470))) % 33.89/34.30 (assume-push @p802 @t281) % 33.89/34.30 (assume-push @p803 @t280) % 33.89/34.30 (assume-push @p804 @t383) % 33.89/34.30 (assume-push @p805 @t401) % 33.89/34.30 (assume-push @p806 @t433) % 33.89/34.30 (assume-push @p807 @t440) % 33.89/34.30 (assume-push @p808 @t448) % 33.89/34.30 (assume-push @p809 @t383) % 33.89/34.30 (assume-push @p810 @t401) % 33.89/34.30 (assume-push @p811 @t433) % 33.89/34.30 (assume-push @p812 @t281) % 33.89/34.30 (assume-push @p813 @t280) % 33.89/34.30 (assume-push @p814 @t440) % 33.89/34.30 (assume-push @p815 @t448) % 33.89/34.30 (step @p744 :rule true_intro :premises (@p804)) % 33.89/34.30 (step @p694 :rule symm :premises (@p538)) % 33.89/34.30 (step @p695 :rule symm :premises (@p589)) % 33.89/34.30 (step @p696 :rule cong :premises (@p295 @p295 @p295 @p298 @p597 @p592) :args (@t438)) % 33.89/34.30 (step @p697 :rule trans :premises (@p614 @p603 @p696 @p695 @p694)) % 33.89/34.30 (step @p698 :rule cong :premises (@p697 @p466) :args (@t469)) % 33.89/34.30 (step @p745 :rule trans :premises (@p698 @p744)) % 33.89/34.30 (step @p746 :rule true_elim :premises (@p745)) % 33.89/34.30 (step-pop @p816 :rule scope :premises (@p746)) % 33.89/34.30 (step-pop @p817 :rule scope :premises (@p816)) % 33.89/34.30 (step-pop @p818 :rule scope :premises (@p817)) % 33.89/34.30 (step-pop @p819 :rule scope :premises (@p818)) % 33.89/34.30 (step-pop @p820 :rule scope :premises (@p819)) % 33.89/34.30 (step-pop @p821 :rule scope :premises (@p820)) % 33.89/34.30 (step-pop @p822 :rule scope :premises (@p821)) % 33.89/34.30 (step @p747 :rule process_scope :premises (@p822) :args (@t469)) % 33.89/34.30 (step @p755 :rule and_intro :premises (@p804 @p538 @p589 @p295 @p298 @p603 @p614)) % 33.89/34.30 (step @p756 :rule modus_ponens :premises (@p755 @p747)) % 33.89/34.30 (step-pop @p823 :rule scope :premises (@p756)) % 33.89/34.30 (step-pop @p824 :rule scope :premises (@p823)) % 33.89/34.30 (step-pop @p825 :rule scope :premises (@p824)) % 33.89/34.30 (step-pop @p826 :rule scope :premises (@p825)) % 33.89/34.30 (step-pop @p827 :rule scope :premises (@p826)) % 33.89/34.30 (step-pop @p828 :rule scope :premises (@p827)) % 33.89/34.30 (step-pop @p829 :rule scope :premises (@p828)) % 33.89/34.30 (step @p757 :rule process_scope :premises (@p829) :args (@t469)) % 33.89/34.30 (step @p765 :rule implies_elim :premises (@p757)) % 33.89/34.30 (step @p766 :rule cnf_and_neg :args (@t483)) % 33.89/34.30 (step @p767 :rule resolution :premises (@p766 @p765) :args (true @t483)) % 33.89/34.30 (step @p768 :rule reordering :premises (@p767) :args ((or @t480 @t479 @t481 @t478 @t469 @t477 @t476 @t475))) % 33.89/34.30 (step @p769 false :rule chain_m_resolution :premises (@p768 @p729 @p726 @p614 @p603 @p589 @p538 @p298 @p295) :args (false (@list true false false false false false false false) (@list @t469 @t383 @t448 @t440 @t433 @t401 @t280 @t281))) % 33.89/34.30 ) % 33.89/34.30 % SZS output end Proof % 33.89/34.30 % cvc5 exiting %------------------------------------------------------------------------------