%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT319+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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:17 AM UTC 2026 % Result : Theorem 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT319+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 % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:26:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.67 % SZS status Theorem % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v17_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.44/0.67 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v16_lattices (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.v11_lattices (-> $$unsorted Bool)) % 0.44/0.67 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.67 (define @t2 () (tptp.k1_lattice2 @t1)) % 0.44/0.67 (define @t3 () (tptp.l3_lattices @t2)) % 0.44/0.67 (define @t4 () (tptp.v10_lattices @t2)) % 0.44/0.67 (define @t5 () (not (tptp.v3_struct_0 @t2))) % 0.44/0.67 (define @t6 () (tptp.l3_lattices @t1)) % 0.44/0.67 (define @t7 () (tptp.v17_lattices @t1)) % 0.44/0.67 (define @t8 () (tptp.v10_lattices @t1)) % 0.44/0.67 (define @t9 () (tptp.v3_struct_0 @t1)) % 0.44/0.67 (define @t10 () (not @t9)) % 0.44/0.67 (define @t11 () (= (and @t10 @t8 @t7 @t6) (and @t5 @t4 (tptp.v17_lattices @t2) @t3))) % 0.44/0.67 (define @t12 () (and @t10 @t8 @t6)) % 0.44/0.67 (define @t13 () (@list @t1)) % 0.44/0.67 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.44/0.67 (define @t15 () (not @t14)) % 0.44/0.67 (define @t16 () (tptp.u1_lattices @t1)) % 0.44/0.67 (define @t17 () (tptp.u2_lattices @t1)) % 0.44/0.67 (define @t18 () (tptp.u1_struct_0 @t1)) % 0.44/0.67 (define @t19 () (tptp.v3_lattices @t1)) % 0.44/0.67 (define @t20 () (@var "B" $$unsorted)) % 0.44/0.67 (define @t21 () (tptp.r2_hidden @t1 @t20)) % 0.44/0.67 (define @t22 () (@list @t1 @t20)) % 0.44/0.67 (define @t23 () (tptp.v1_funct_1 @t1)) % 0.44/0.67 (define @t24 () (tptp.v1_xboole_0 @t1)) % 0.44/0.67 (define @t25 () (tptp.v9_lattices @t1)) % 0.44/0.67 (define @t26 () (tptp.v8_lattices @t1)) % 0.44/0.67 (define @t27 () (tptp.v7_lattices @t1)) % 0.44/0.67 (define @t28 () (tptp.v6_lattices @t1)) % 0.44/0.67 (define @t29 () (tptp.v5_lattices @t1)) % 0.44/0.67 (define @t30 () (tptp.v4_lattices @t1)) % 0.44/0.67 (define @t31 () (and @t10 @t30 @t29 @t28 @t27 @t26 @t25)) % 0.44/0.67 (define @t32 () (and @t10 @t8)) % 0.44/0.67 (define @t33 () (@var "C" $$unsorted)) % 0.44/0.67 (define @t34 () (tptp.k2_zfmisc_1 @t1 @t20)) % 0.44/0.67 (define @t35 () (tptp.m1_subset_1 @t33 (tptp.k1_zfmisc_1 @t34))) % 0.44/0.67 (define @t36 () (@list @t1 @t20 @t33)) % 0.44/0.67 (define @t37 () (tptp.v1_relat_1 @t1)) % 0.44/0.67 (define @t38 () (and @t37 @t23 (tptp.v2_funct_1 @t1))) % 0.44/0.67 (define @t39 () (and @t37 @t24 @t23)) % 0.44/0.67 (define @t40 () (tptp.v15_lattices @t1)) % 0.44/0.67 (define @t41 () (and @t10 @t40)) % 0.44/0.67 (define @t42 () (tptp.v14_lattices @t1)) % 0.44/0.67 (define @t43 () (tptp.v13_lattices @t1)) % 0.44/0.67 (define @t44 () (and @t10 @t43 @t42)) % 0.44/0.67 (define @t45 () (tptp.v16_lattices @t1)) % 0.44/0.67 (define @t46 () (tptp.v11_lattices @t1)) % 0.44/0.67 (define @t47 () (and @t10 @t46 @t43 @t42 @t40 @t45)) % 0.44/0.67 (define @t48 () (and @t10 @t7)) % 0.44/0.67 (define @t49 () (=> @t48 @t47)) % 0.44/0.67 (define @t50 () (forall @t13 (=> @t6 @t49))) % 0.44/0.67 (define @t51 () (and @t10 @t46 @t40 @t45)) % 0.44/0.67 (define @t52 () (=> @t51 @t48)) % 0.44/0.67 (define @t53 () (forall @t13 (=> @t6 @t52))) % 0.44/0.67 (define @t54 () (tptp.v12_lattices @t1)) % 0.44/0.67 (define @t55 () (= @t7 (and @t40 @t45 @t46))) % 0.44/0.67 (define @t56 () (and @t10 @t6)) % 0.44/0.67 (define @t57 () (forall @t13 (=> @t56 @t55))) % 0.44/0.67 (define @t58 () (tptp.g3_lattices @t1 @t20 @t33)) % 0.44/0.67 (define @t59 () (tptp.v3_lattices @t58)) % 0.44/0.67 (define @t60 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.44/0.67 (define @t61 () (tptp.m1_relset_1 @t33 @t60 @t1)) % 0.44/0.67 (define @t62 () (tptp.v1_funct_2 @t33 @t60 @t1)) % 0.44/0.67 (define @t63 () (tptp.v1_funct_1 @t33)) % 0.44/0.67 (define @t64 () (tptp.m1_relset_1 @t20 @t60 @t1)) % 0.44/0.67 (define @t65 () (tptp.v1_funct_2 @t20 @t60 @t1)) % 0.44/0.67 (define @t66 () (tptp.v1_funct_1 @t20)) % 0.44/0.67 (define @t67 () (and @t66 @t65 @t64 @t63 @t62 @t61)) % 0.44/0.67 (define @t68 () (tptp.v3_lattices @t2)) % 0.44/0.67 (define @t69 () (and @t68 @t3)) % 0.44/0.67 (define @t70 () (forall @t13 (=> @t6 @t69))) % 0.44/0.67 (define @t71 () (tptp.l1_struct_0 @t1)) % 0.44/0.67 (define @t72 () (tptp.l1_lattices @t1)) % 0.44/0.67 (define @t73 () (tptp.l2_lattices @t1)) % 0.44/0.67 (define @t74 () (tptp.m2_relset_1 @t33 @t1 @t20)) % 0.44/0.67 (define @t75 () (tptp.k2_zfmisc_1 @t18 @t18)) % 0.44/0.67 (define @t76 () (tptp.v1_funct_2 @t16 @t75 @t18)) % 0.44/0.67 (define @t77 () (tptp.v1_funct_1 @t16)) % 0.44/0.67 (define @t78 () (tptp.v1_funct_2 @t17 @t75 @t18)) % 0.44/0.67 (define @t79 () (tptp.v1_funct_1 @t17)) % 0.44/0.67 (define @t80 () (tptp.m1_relset_1 @t33 @t1 @t20)) % 0.44/0.67 (define @t81 () (@list @t33)) % 0.44/0.67 (define @t82 () (@list @t20)) % 0.44/0.67 (define @t83 () (and @t5 @t68)) % 0.44/0.67 (define @t84 () (forall @t13 (=> @t56 @t83))) % 0.44/0.67 (define @t85 () (and @t10 @t71)) % 0.44/0.67 (define @t86 () (tptp.k1_zfmisc_1 @t1)) % 0.44/0.67 (define @t87 () (tptp.v1_partfun1 @t17 @t75 @t18)) % 0.44/0.67 (define @t88 () (tptp.v1_relat_1 @t17)) % 0.44/0.67 (define @t89 () (not @t24)) % 0.44/0.67 (define @t90 () (tptp.v1_partfun1 @t16 @t75 @t18)) % 0.44/0.67 (define @t91 () (tptp.v1_relat_1 @t16)) % 0.44/0.67 (define @t92 () (tptp.v1_xboole_0 @t20)) % 0.44/0.67 (define @t93 () (not @t92)) % 0.44/0.67 (define @t94 () (and @t5 @t68 (tptp.v4_lattices @t2) (tptp.v5_lattices @t2) (tptp.v6_lattices @t2) (tptp.v7_lattices @t2) (tptp.v8_lattices @t2) (tptp.v9_lattices @t2) @t4)) % 0.44/0.67 (define @t95 () (forall @t13 (=> @t12 @t94))) % 0.44/0.67 (define @t96 () (@var "F" $$unsorted)) % 0.44/0.67 (define @t97 () (@var "E" $$unsorted)) % 0.44/0.67 (define @t98 () (@var "D" $$unsorted)) % 0.44/0.67 (define @t99 () (tptp.m1_subset_1 @t20 @t86)) % 0.44/0.67 (define @t100 () (tptp.m1_subset_1 @t1 @t20)) % 0.44/0.67 (define @t101 () (tptp.m1_subset_1 @t20 (tptp.k1_zfmisc_1 @t33))) % 0.44/0.67 (define @t102 () (= (and @t10 @t8 @t40 @t45 @t6) (and @t5 @t4 (tptp.v15_lattices @t2) (tptp.v16_lattices @t2) @t3))) % 0.44/0.67 (define @t103 () (forall @t13 (=> @t12 @t102))) % 0.44/0.67 (define @t104 () (= (and @t10 @t8 @t46 @t6) (and @t5 @t4 (tptp.v11_lattices @t2) @t3))) % 0.44/0.67 (define @t105 () (forall @t13 (=> @t12 @t104))) % 0.44/0.67 (define @t106 () (not @t6)) % 0.44/0.67 (define @t107 () (not @t8)) % 0.44/0.67 (define @t108 () (or @t9 @t107 @t106)) % 0.44/0.67 (define @t109 () (not @t10)) % 0.44/0.67 (define @t110 () (or @t109 @t107 @t106)) % 0.44/0.67 (define @t111 () (not @t12)) % 0.44/0.67 (define @t112 () (or @t9 @t107 @t106 @t11)) % 0.44/0.67 (define @t113 () (@quantifiers_skolemize (forall @t13 @t112) 0)) % 0.44/0.67 (define @t114 () (@list @t113)) % 0.44/0.67 (define @t115 () (tptp.l3_lattices @t113)) % 0.44/0.67 (define @t116 () (tptp.k1_lattice2 @t113)) % 0.44/0.67 (define @t117 () (tptp.l3_lattices @t116)) % 0.44/0.67 (define @t118 () (tptp.v17_lattices @t116)) % 0.44/0.67 (define @t119 () (tptp.v10_lattices @t116)) % 0.44/0.67 (define @t120 () (tptp.v3_struct_0 @t116)) % 0.44/0.67 (define @t121 () (not @t120)) % 0.44/0.67 (define @t122 () (and @t121 @t119 @t118 @t117)) % 0.44/0.67 (define @t123 () (tptp.v17_lattices @t113)) % 0.44/0.67 (define @t124 () (tptp.v10_lattices @t113)) % 0.44/0.67 (define @t125 () (tptp.v3_struct_0 @t113)) % 0.44/0.67 (define @t126 () (not @t125)) % 0.44/0.67 (define @t127 () (and @t126 @t124 @t123 @t115)) % 0.44/0.67 (define @t128 () (= @t127 @t122)) % 0.44/0.67 (define @t129 () (not @t115)) % 0.44/0.67 (define @t130 () (not @t124)) % 0.44/0.67 (define @t131 () (or @t125 @t130 @t129 @t128)) % 0.44/0.67 (define @t132 () (@list true)) % 0.44/0.67 (define @t133 () (@list @t131)) % 0.44/0.67 (define @t134 () (tptp.v11_lattices @t116)) % 0.44/0.67 (define @t135 () (and @t121 @t119 @t134 @t117)) % 0.44/0.67 (define @t136 () (tptp.v11_lattices @t113)) % 0.44/0.67 (define @t137 () (and @t126 @t124 @t136 @t115)) % 0.44/0.67 (define @t138 () (= @t137 @t135)) % 0.44/0.67 (define @t139 () (or @t125 @t130 @t129 @t138)) % 0.44/0.67 (define @t140 () (@list true false false false)) % 0.44/0.67 (define @t141 () (or @t9 @t106)) % 0.44/0.67 (define @t142 () (not @t56)) % 0.44/0.67 (define @t143 () (tptp.v16_lattices @t113)) % 0.44/0.67 (define @t144 () (tptp.v15_lattices @t113)) % 0.44/0.67 (define @t145 () (and @t144 @t143 @t136)) % 0.44/0.67 (define @t146 () (= @t123 @t145)) % 0.44/0.67 (define @t147 () (or @t125 @t129 @t146)) % 0.44/0.67 (define @t148 () (@list true false false)) % 0.44/0.67 (define @t149 () (and @t126 @t123)) % 0.44/0.67 (define @t150 () (not @t122)) % 0.44/0.67 (define @t151 () (tptp.v3_lattices @t116)) % 0.44/0.67 (define @t152 () (and @t121 @t151)) % 0.44/0.67 (define @t153 () (or @t125 @t129 @t152)) % 0.44/0.67 (define @t154 () (@list false)) % 0.44/0.67 (define @t155 () (and @t151 @t117)) % 0.44/0.67 (define @t156 () (or @t129 @t155)) % 0.44/0.67 (define @t157 () (@list false false)) % 0.44/0.67 (define @t158 () (not @t7)) % 0.44/0.67 (define @t159 () (or @t9 @t158 @t47)) % 0.44/0.67 (define @t160 () (@list @t116)) % 0.44/0.67 (define @t161 () (tptp.v16_lattices @t116)) % 0.44/0.67 (define @t162 () (tptp.v15_lattices @t116)) % 0.44/0.67 (define @t163 () (and @t121 @t134 (tptp.v13_lattices @t116) (tptp.v14_lattices @t116) @t162 @t161)) % 0.44/0.67 (define @t164 () (not @t118)) % 0.44/0.67 (define @t165 () (not @t117)) % 0.44/0.67 (define @t166 () (or @t165 @t120 @t164 @t163)) % 0.44/0.67 (define @t167 () (not @t163)) % 0.44/0.67 (define @t168 () (and @t121 @t151 (tptp.v4_lattices @t116) (tptp.v5_lattices @t116) (tptp.v6_lattices @t116) (tptp.v7_lattices @t116) (tptp.v8_lattices @t116) (tptp.v9_lattices @t116) @t119)) % 0.44/0.67 (define @t169 () (or @t125 @t130 @t129 @t168)) % 0.44/0.67 (define @t170 () (not @t134)) % 0.44/0.67 (define @t171 () (not @t119)) % 0.44/0.67 (define @t172 () (not @t121)) % 0.44/0.67 (define @t173 () (not @t161)) % 0.44/0.67 (define @t174 () (not @t162)) % 0.44/0.67 (define @t175 () (and @t121 @t119 @t162 @t161 @t117)) % 0.44/0.67 (define @t176 () (not @t138)) % 0.44/0.67 (define @t177 () (not @t135)) % 0.44/0.67 (define @t178 () (and @t126 @t124 @t144 @t143 @t115)) % 0.44/0.67 (define @t179 () (= @t178 @t175)) % 0.44/0.67 (define @t180 () (or @t125 @t130 @t129 @t179)) % 0.44/0.67 (define @t181 () (not @t179)) % 0.44/0.67 (define @t182 () (not @t175)) % 0.44/0.67 (define @t183 () (not @t137)) % 0.44/0.67 (define @t184 () (not @t178)) % 0.44/0.67 (define @t185 () (not @t45)) % 0.44/0.67 (define @t186 () (not @t40)) % 0.44/0.67 (define @t187 () (not @t46)) % 0.44/0.67 (define @t188 () (or @t9 @t187 @t186 @t185 @t48)) % 0.44/0.67 (define @t189 () (or @t109 @t187 @t186 @t185)) % 0.44/0.67 (define @t190 () (not @t143)) % 0.44/0.67 (define @t191 () (not @t144)) % 0.44/0.67 (define @t192 () (not @t136)) % 0.44/0.67 (define @t193 () (or @t129 @t125 @t192 @t191 @t190 @t149)) % 0.44/0.67 (define @t194 () (not @t123)) % 0.44/0.67 (define @t195 () (not @t145)) % 0.44/0.67 (define @t196 () (@list @t145)) % 0.44/0.67 (define @t197 () (not @t126)) % 0.44/0.67 (define @t198 () (and @t162 @t161 @t134)) % 0.44/0.67 (define @t199 () (= @t118 @t198)) % 0.44/0.67 (define @t200 () (or @t120 @t165 @t199)) % 0.44/0.67 (define @t201 () (@list true false)) % 0.44/0.67 (define @t202 () (not @t198)) % 0.44/0.67 (define @t203 () (@list @t175)) % 0.44/0.67 (assume @p1 @t15) % 0.44/0.67 (assume @p2 (forall @t13 (=> @t6 (=> @t19 (= @t1 (tptp.g3_lattices @t18 @t17 @t16)))))) % 0.44/0.67 (assume @p3 (forall @t22 (=> @t21 (not (tptp.r2_hidden @t20 @t1))))) % 0.44/0.67 (assume @p4 (forall @t13 (=> @t24 @t23))) % 0.44/0.67 (assume @p5 (forall @t13 (=> @t6 (=> @t32 @t31)))) % 0.44/0.67 (assume @p6 (forall @t36 (=> @t35 (tptp.v1_relat_1 @t33)))) % 0.44/0.67 (assume @p7 (forall @t13 (=> @t39 @t38))) % 0.44/0.67 (assume @p8 (forall @t13 (=> @t6 (=> @t31 @t32)))) % 0.44/0.67 (assume @p9 (forall @t13 (=> @t6 (=> @t44 @t41)))) % 0.44/0.67 (assume @p10 (forall @t13 (=> @t6 (=> @t41 @t44)))) % 0.44/0.67 (assume @p11 @t50) % 0.44/0.67 (assume @p12 @t53) % 0.44/0.67 (assume @p13 (forall @t13 (=> @t6 (=> (and @t10 @t8 @t46) (and @t10 @t30 @t29 @t28 @t27 @t26 @t25 @t8 @t54))))) % 0.44/0.67 (assume @p14 @t57) % 0.44/0.67 (assume @p15 (forall @t13 (=> @t6 (= @t2 (tptp.g3_lattices @t18 @t16 @t17))))) % 0.44/0.67 (assume @p16 (forall @t36 (=> @t67 (and @t59 (tptp.l3_lattices @t58))))) % 0.44/0.67 (assume @p17 @t70) % 0.44/0.67 (assume @p18 true) % 0.44/0.67 (assume @p19 (forall @t13 (=> @t72 @t71))) % 0.44/0.67 (assume @p20 (forall @t13 (=> @t73 @t71))) % 0.44/0.67 (assume @p21 (forall @t13 (=> @t6 (and @t72 @t73)))) % 0.44/0.67 (assume @p22 (forall @t36 (=> @t74 @t35))) % 0.44/0.67 (assume @p23 (forall @t13 (=> @t72 (and @t77 @t76 (tptp.m2_relset_1 @t16 @t75 @t18))))) % 0.44/0.67 (assume @p24 (forall @t13 (=> @t73 (and @t79 @t78 (tptp.m2_relset_1 @t17 @t75 @t18))))) % 0.44/0.67 (assume @p25 (exists @t13 @t72)) % 0.44/0.67 (assume @p26 (exists @t13 @t71)) % 0.44/0.67 (assume @p27 (exists @t13 @t73)) % 0.44/0.67 (assume @p28 (exists @t13 @t6)) % 0.44/0.67 (assume @p29 (forall @t22 (exists @t81 @t80))) % 0.44/0.67 (assume @p30 (forall @t13 (exists @t82 (tptp.m1_subset_1 @t20 @t1)))) % 0.44/0.67 (assume @p31 (forall @t22 (exists @t81 @t74))) % 0.44/0.67 (assume @p32 @t84) % 0.44/0.67 (assume @p33 (forall @t13 (=> @t85 (not (tptp.v1_xboole_0 @t18))))) % 0.44/0.67 (assume @p34 (forall @t13 (not (tptp.v1_xboole_0 @t86)))) % 0.44/0.67 (assume @p35 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.44/0.67 (assume @p36 (forall @t13 (=> (and @t10 @t30 @t73) (and @t88 @t79 @t78 (tptp.v1_binop_1 @t17 @t18) @t87)))) % 0.44/0.67 (assume @p37 (forall @t13 (=> (and @t10 @t29 @t73) (and @t88 @t79 @t78 (tptp.v2_binop_1 @t17 @t18) @t87)))) % 0.44/0.67 (assume @p38 (forall @t36 (=> (and @t89 @t66 @t65 @t64 @t63 @t62 @t61) (and (not (tptp.v3_struct_0 @t58)) @t59)))) % 0.44/0.67 (assume @p39 (forall @t13 (=> (and @t10 @t28 @t72) (and @t91 @t77 @t76 (tptp.v1_binop_1 @t16 @t18) @t90)))) % 0.44/0.67 (assume @p40 (forall @t22 (=> (and @t89 @t93) (not (tptp.v1_xboole_0 @t34))))) % 0.44/0.67 (assume @p41 (forall @t13 (=> (and @t10 @t27 @t72) (and @t91 @t77 @t76 (tptp.v2_binop_1 @t16 @t18) @t90)))) % 0.44/0.67 (assume @p42 @t95) % 0.44/0.67 (assume @p43 (forall @t36 (=> @t67 (forall (@list @t98 @t97 @t96) (=> (= @t58 (tptp.g3_lattices @t98 @t97 @t96)) (and (= @t1 @t98) (= @t20 @t97) (= @t33 @t96))))))) % 0.44/0.67 (assume @p44 (exists @t13 (and @t6 @t10 @t19 @t30 @t29 @t28 @t27 @t26 @t25 @t8 @t46 @t54 @t43 @t42))) % 0.44/0.67 (assume @p45 (exists @t13 (and @t6 @t10 @t19 @t30 @t29 @t28 @t27 @t26 @t25 @t8 @t43 @t42 @t40))) % 0.44/0.67 (assume @p46 (exists @t13 (and @t6 @t10 @t19 @t30 @t29 @t28 @t27 @t26 @t25 @t8 @t43 @t42 @t40 @t45))) % 0.44/0.67 (assume @p47 (exists @t13 (and @t6 @t10 @t19 @t30 @t29 @t28 @t27 @t26 @t25 @t8 @t46 @t43 @t42 @t40 @t45 @t7))) % 0.44/0.67 (assume @p48 (exists @t13 (and @t37 @t23))) % 0.44/0.67 (assume @p49 (forall @t13 (=> @t89 (exists @t82 (and @t99 @t93))))) % 0.44/0.67 (assume @p50 (exists @t13 @t24)) % 0.44/0.67 (assume @p51 (exists @t13 @t39)) % 0.44/0.67 (assume @p52 (forall @t13 (exists @t82 (and @t99 @t92)))) % 0.44/0.67 (assume @p53 (exists @t13 @t89)) % 0.44/0.67 (assume @p54 (exists @t13 @t38)) % 0.44/0.67 (assume @p55 (exists @t13 (and @t6 @t19))) % 0.44/0.67 (assume @p56 (exists @t13 (and @t71 @t10))) % 0.44/0.67 (assume @p57 (forall @t13 (=> @t85 (exists @t82 (and (tptp.m1_subset_1 @t20 (tptp.k1_zfmisc_1 @t18)) @t93))))) % 0.44/0.67 (assume @p58 (exists @t13 (and @t6 @t10 @t19))) % 0.44/0.67 (assume @p59 (exists @t13 (and @t6 @t10 @t19 @t30 @t29 @t28 @t27 @t26 @t25 @t8))) % 0.44/0.67 (assume @p60 (forall @t36 (= @t74 @t80))) % 0.44/0.67 (assume @p61 (forall @t22 (tptp.r1_tarski @t1 @t1))) % 0.44/0.67 (assume @p62 (forall @t22 (=> @t21 @t100))) % 0.44/0.67 (assume @p63 (forall @t22 (=> @t100 (or @t92 @t21)))) % 0.44/0.67 (assume @p64 (forall @t22 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t20)) (tptp.r1_tarski @t1 @t20)))) % 0.44/0.67 (assume @p65 (forall @t36 (=> (and @t21 @t101) (tptp.m1_subset_1 @t1 @t33)))) % 0.44/0.67 (assume @p66 @t103) % 0.44/0.67 (assume @p67 (forall @t36 (not (and @t21 @t101 (tptp.v1_xboole_0 @t33))))) % 0.44/0.67 (assume @p68 @t105) % 0.44/0.67 (assume @p69 (forall @t13 (=> @t24 (= @t1 tptp.k1_xboole_0)))) % 0.44/0.67 (assume @p70 (forall @t22 (not (and @t21 @t92)))) % 0.44/0.67 (assume @p71 (forall @t22 (not (and @t24 (not (= @t1 @t20)) @t92)))) % 0.44/0.67 (step @p72 :rule aci_norm :args ((= (or @t108 @t104) (or @t9 @t107 @t106 @t104)))) % 0.44/0.67 (step @p73 :rule refl :args (@t104)) % 0.44/0.67 (step @p74 :rule refl :args (@t106)) % 0.44/0.67 (step @p75 :rule refl :args (@t107)) % 0.44/0.67 (step @p76 :rule bool-double-not-elim :args (@t9)) % 0.44/0.67 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t110)) % 0.44/0.67 (step @p78 :rule aci_norm :args ((= (or @t109 (or @t107 @t106)) @t110))) % 0.44/0.67 (step @p79 :rule trans :premises (@p78 @p77)) % 0.44/0.67 (step @p80 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.44/0.67 (step @p81 :rule refl :args (@t109)) % 0.44/0.67 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t109 (not (and @t8 @t6))))) % 0.44/0.67 (step @p83 :rule bool-and-de-morgan :args (@t10 @t8 (and @t6))) % 0.44/0.67 (step @p84 :rule trans :premises (@p83 @p82)) % 0.44/0.67 (step @p85 :rule trans :premises (@p84 @p79)) % 0.44/0.67 (step @p86 :rule nary_cong :premises (@p85 @p73) :args ((or @t111 @t104))) % 0.44/0.67 (step @p87 :rule trans :premises (@p86 @p72)) % 0.44/0.67 (step @p88 :rule bool-impl-elim :args (@t12 @t104)) % 0.44/0.67 (step @p89 :rule trans :premises (@p88 @p87)) % 0.44/0.67 (step @p90 :rule cong :premises (@p89) :args (@t105)) % 0.44/0.67 (step @p91 :rule eq_resolve :premises (@p68 @p90)) % 0.44/0.67 (step @p92 :rule instantiate :premises (@p91) :args (@t114)) % 0.44/0.67 (step @p93 :rule aci_norm :args ((= (or @t108 @t11) @t112))) % 0.44/0.67 (step @p94 :rule refl :args (@t11)) % 0.44/0.67 (step @p95 :rule nary_cong :premises (@p85 @p94) :args ((or @t111 @t11))) % 0.44/0.67 (step @p96 :rule trans :premises (@p95 @p93)) % 0.44/0.67 (step @p97 :rule bool-impl-elim :args (@t12 @t11)) % 0.44/0.67 (step @p98 :rule trans :premises (@p97 @p96)) % 0.44/0.67 (step @p99 :rule cong :premises (@p98) :args (@t14)) % 0.44/0.67 (step @p100 :rule cong :premises (@p99) :args (@t15)) % 0.44/0.67 (step @p101 :rule eq_resolve :premises (@p1 @p100)) % 0.44/0.67 (step @p102 :rule skolemize :premises (@p101)) % 0.44/0.67 (step @p103 :rule bool-double-not-elim :args (@t115)) % 0.44/0.67 (step @p104 :rule refl :args (@t131)) % 0.44/0.67 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t131 (not @t129)))) % 0.44/0.67 (step @p106 :rule cnf_or_neg :args (@t131 2)) % 0.44/0.67 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.44/0.67 (step @p108 :rule reordering :premises (@p107) :args ((or @t115 @t131))) % 0.44/0.67 (step @p109 :rule chain_m_resolution :premises (@p108 @p102) :args (@t115 @t132 @t133)) % 0.44/0.67 (step @p110 :rule bool-double-not-elim :args (@t124)) % 0.44/0.67 (step @p111 :rule nary_cong :premises (@p104 @p110) :args ((or @t131 (not @t130)))) % 0.44/0.67 (step @p112 :rule cnf_or_neg :args (@t131 1)) % 0.44/0.67 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.44/0.67 (step @p114 :rule reordering :premises (@p113) :args ((or @t124 @t131))) % 0.44/0.67 (step @p115 :rule chain_m_resolution :premises (@p114 @p102) :args (@t124 @t132 @t133)) % 0.44/0.67 (step @p116 :rule cnf_or_neg :args (@t131 0)) % 0.44/0.67 (step @p117 :rule reordering :premises (@p116) :args ((or @t126 @t131))) % 0.44/0.67 (step @p118 :rule chain_m_resolution :premises (@p117 @p102) :args (@t126 @t132 @t133)) % 0.44/0.67 (step @p119 :rule cnf_or_pos :args (@t139)) % 0.44/0.67 (step @p120 :rule reordering :premises (@p119) :args ((or @t125 @t130 @t129 @t138 (not @t139)))) % 0.44/0.67 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p115 @p109 @p92) :args (@t138 @t140 (@list @t125 @t124 @t115 @t139))) % 0.44/0.67 (step @p122 :rule aci_norm :args ((= (or @t141 @t55) (or @t9 @t106 @t55)))) % 0.44/0.67 (step @p123 :rule refl :args (@t55)) % 0.44/0.67 (step @p124 :rule nary_cong :premises (@p76 @p74) :args ((or @t109 @t106))) % 0.44/0.67 (step @p125 :rule bool-and-de-morgan :args (@t10 @t6 true)) % 0.44/0.67 (step @p126 :rule trans :premises (@p125 @p124)) % 0.44/0.67 (step @p127 :rule nary_cong :premises (@p126 @p123) :args ((or @t142 @t55))) % 0.44/0.67 (step @p128 :rule trans :premises (@p127 @p122)) % 0.44/0.67 (step @p129 :rule bool-impl-elim :args (@t56 @t55)) % 0.44/0.67 (step @p130 :rule trans :premises (@p129 @p128)) % 0.44/0.67 (step @p131 :rule cong :premises (@p130) :args (@t57)) % 0.44/0.67 (step @p132 :rule eq_resolve :premises (@p14 @p131)) % 0.44/0.67 (step @p133 :rule instantiate :premises (@p132) :args (@t114)) % 0.44/0.67 (step @p134 :rule cnf_or_pos :args (@t147)) % 0.44/0.67 (step @p135 :rule reordering :premises (@p134) :args ((or @t125 @t129 @t146 (not @t147)))) % 0.44/0.67 (step @p136 :rule chain_m_resolution :premises (@p135 @p118 @p109 @p133) :args (@t146 @t148 (@list @t125 @t115 @t147))) % 0.44/0.67 (step @p137 :rule cnf_and_pos :args (@t127 2)) % 0.44/0.67 (step @p138 :rule reordering :premises (@p137) :args ((or @t123 (not @t127)))) % 0.44/0.67 (step @p139 :rule cnf_and_pos :args (@t149 1)) % 0.44/0.67 (step @p140 :rule reordering :premises (@p139) :args ((or @t123 (not @t149)))) % 0.44/0.67 (step @p141 :rule cnf_or_neg :args (@t131 3)) % 0.44/0.67 (step @p142 :rule chain_m_resolution :premises (@p141 @p102) :args ((not @t128) @t132 @t133)) % 0.44/0.67 (step @p143 :rule cnf_equiv_neg1 :args (@t128)) % 0.44/0.67 (step @p144 :rule reordering :premises (@p143) :args ((or @t127 @t122 @t128))) % 0.44/0.67 (step @p145 :rule cnf_and_pos :args (@t122 2)) % 0.44/0.67 (step @p146 :rule reordering :premises (@p145) :args ((or @t118 @t150))) % 0.44/0.67 (step @p147 :rule aci_norm :args ((= (or @t141 @t83) (or @t9 @t106 @t83)))) % 0.44/0.67 (step @p148 :rule refl :args (@t83)) % 0.44/0.67 (step @p149 :rule nary_cong :premises (@p126 @p148) :args ((or @t142 @t83))) % 0.44/0.67 (step @p150 :rule trans :premises (@p149 @p147)) % 0.44/0.67 (step @p151 :rule bool-impl-elim :args (@t56 @t83)) % 0.44/0.67 (step @p152 :rule trans :premises (@p151 @p150)) % 0.44/0.67 (step @p153 :rule cong :premises (@p152) :args (@t84)) % 0.44/0.67 (step @p154 :rule eq_resolve :premises (@p32 @p153)) % 0.44/0.67 (step @p155 :rule instantiate :premises (@p154) :args (@t114)) % 0.44/0.67 (step @p156 :rule cnf_or_pos :args (@t153)) % 0.44/0.67 (step @p157 :rule reordering :premises (@p156) :args ((or @t125 @t129 @t152 (not @t153)))) % 0.44/0.67 (step @p158 :rule chain_m_resolution :premises (@p157 @p118 @p109 @p155) :args (@t152 @t148 (@list @t125 @t115 @t153))) % 0.44/0.67 (step @p159 :rule cnf_and_pos :args (@t152 0)) % 0.44/0.67 (step @p160 :rule reordering :premises (@p159) :args ((or @t121 (not @t152)))) % 0.44/0.67 (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t121 @t154 (@list @t152))) % 0.44/0.67 (step @p162 :rule bool-impl-elim :args (@t6 @t69)) % 0.44/0.67 (step @p163 :rule cong :premises (@p162) :args (@t70)) % 0.44/0.67 (step @p164 :rule eq_resolve :premises (@p17 @p163)) % 0.44/0.67 (step @p165 :rule instantiate :premises (@p164) :args (@t114)) % 0.44/0.67 (step @p166 :rule cnf_or_pos :args (@t156)) % 0.44/0.67 (step @p167 :rule reordering :premises (@p166) :args ((or @t129 @t155 (not @t156)))) % 0.44/0.67 (step @p168 :rule chain_m_resolution :premises (@p167 @p109 @p165) :args (@t155 @t157 (@list @t115 @t156))) % 0.44/0.67 (step @p169 :rule cnf_and_pos :args (@t155 1)) % 0.44/0.67 (step @p170 :rule reordering :premises (@p169) :args ((or @t117 (not @t155)))) % 0.44/0.67 (step @p171 :rule chain_m_resolution :premises (@p170 @p168) :args (@t117 @t154 (@list @t155))) % 0.44/0.67 (step @p172 :rule aci_norm :args ((= (or @t106 @t159) (or @t106 @t9 @t158 @t47)))) % 0.44/0.67 (step @p173 :rule aci_norm :args ((= (or (or @t9 @t158) @t47) @t159))) % 0.44/0.67 (step @p174 :rule refl :args (@t47)) % 0.44/0.67 (step @p175 :rule refl :args (@t158)) % 0.44/0.67 (step @p176 :rule nary_cong :premises (@p76 @p175) :args ((or @t109 @t158))) % 0.44/0.67 (step @p177 :rule bool-and-de-morgan :args (@t10 @t7 true)) % 0.44/0.67 (step @p178 :rule trans :premises (@p177 @p176)) % 0.44/0.67 (step @p179 :rule nary_cong :premises (@p178 @p174) :args ((or (not @t48) @t47))) % 0.44/0.67 (step @p180 :rule trans :premises (@p179 @p173)) % 0.44/0.67 (step @p181 :rule bool-impl-elim :args (@t48 @t47)) % 0.44/0.67 (step @p182 :rule trans :premises (@p181 @p180)) % 0.44/0.67 (step @p183 :rule nary_cong :premises (@p74 @p182) :args ((or @t106 @t49))) % 0.44/0.67 (step @p184 :rule trans :premises (@p183 @p172)) % 0.44/0.67 (step @p185 :rule bool-impl-elim :args (@t6 @t49)) % 0.44/0.67 (step @p186 :rule trans :premises (@p185 @p184)) % 0.44/0.67 (step @p187 :rule cong :premises (@p186) :args (@t50)) % 0.44/0.67 (step @p188 :rule eq_resolve :premises (@p11 @p187)) % 0.44/0.67 (step @p189 :rule instantiate :premises (@p188) :args (@t160)) % 0.44/0.67 (step @p190 :rule cnf_or_pos :args (@t166)) % 0.44/0.67 (step @p191 :rule reordering :premises (@p190) :args ((or @t120 @t164 @t165 @t163 (not @t166)))) % 0.44/0.67 (step @p192 :rule cnf_and_pos :args (@t163 1)) % 0.44/0.67 (step @p193 :rule reordering :premises (@p192) :args ((or @t134 @t167))) % 0.44/0.67 (step @p194 :rule cnf_and_pos :args (@t163 4)) % 0.44/0.67 (step @p195 :rule reordering :premises (@p194) :args ((or @t162 @t167))) % 0.44/0.67 (step @p196 :rule cnf_and_pos :args (@t163 5)) % 0.44/0.67 (step @p197 :rule reordering :premises (@p196) :args ((or @t161 @t167))) % 0.44/0.67 (step @p198 :rule aci_norm :args ((= (or @t108 @t94) (or @t9 @t107 @t106 @t94)))) % 0.44/0.67 (step @p199 :rule refl :args (@t94)) % 0.44/0.67 (step @p200 :rule nary_cong :premises (@p85 @p199) :args ((or @t111 @t94))) % 0.44/0.67 (step @p201 :rule trans :premises (@p200 @p198)) % 0.44/0.67 (step @p202 :rule bool-impl-elim :args (@t12 @t94)) % 0.44/0.67 (step @p203 :rule trans :premises (@p202 @p201)) % 0.44/0.67 (step @p204 :rule cong :premises (@p203) :args (@t95)) % 0.44/0.67 (step @p205 :rule eq_resolve :premises (@p42 @p204)) % 0.44/0.67 (step @p206 :rule instantiate :premises (@p205) :args (@t114)) % 0.44/0.67 (step @p207 :rule cnf_or_pos :args (@t169)) % 0.44/0.67 (step @p208 :rule reordering :premises (@p207) :args ((or @t125 @t130 @t129 @t168 (not @t169)))) % 0.44/0.67 (step @p209 :rule 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@t187 (not (and @t40 @t45))))) % 0.44/0.67 (step @p262 :rule bool-and-de-morgan :args (@t46 @t40 (and @t45))) % 0.44/0.67 (step @p263 :rule trans :premises (@p262 @p261)) % 0.44/0.67 (step @p264 :rule nary_cong :premises (@p81 @p263) :args ((or @t109 (not (and @t46 @t40 @t45))))) % 0.44/0.67 (step @p265 :rule bool-and-de-morgan :args (@t10 @t46 (and @t40 @t45))) % 0.44/0.67 (step @p266 :rule trans :premises (@p265 @p264)) % 0.44/0.67 (step @p267 :rule trans :premises (@p266 @p259)) % 0.44/0.67 (step @p268 :rule nary_cong :premises (@p267 @p253) :args ((or (not @t51) @t48))) % 0.44/0.67 (step @p269 :rule trans :premises (@p268 @p252)) % 0.44/0.67 (step @p270 :rule bool-impl-elim :args (@t51 @t48)) % 0.44/0.67 (step @p271 :rule trans :premises (@p270 @p269)) % 0.44/0.67 (step @p272 :rule nary_cong :premises (@p74 @p271) :args ((or @t106 @t52))) % 0.44/0.67 (step @p273 :rule trans :premises (@p272 @p251)) % 0.44/0.67 (step @p274 :rule bool-impl-elim :args (@t6 @t52)) % 0.44/0.67 (step @p275 :rule trans :premises (@p274 @p273)) % 0.44/0.67 (step @p276 :rule cong :premises (@p275) :args (@t53)) % 0.44/0.67 (step @p277 :rule eq_resolve :premises (@p12 @p276)) % 0.44/0.67 (step @p278 :rule instantiate :premises (@p277) :args (@t114)) % 0.44/0.67 (step @p279 :rule cnf_or_pos :args (@t193)) % 0.44/0.67 (step @p280 :rule reordering :premises (@p279) :args ((or @t125 @t129 @t191 @t192 @t190 @t149 (not @t193)))) % 0.44/0.67 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p109 @p118 @p250 @p248 @p246 @p244 @p242 @p230 @p121 @p228 @p171 @p212 @p161 @p221 @p171 @p212 @p161 @p197 @p195 @p193 @p191 @p189 @p171 @p161 @p146 @p144 @p142 @p140 @p138) :args (@t123 (@list false false true false false false false false false false false false false true false false false true false false false false false false true false false true true true) (@list @t193 @t115 @t125 @t143 @t144 @t136 @t178 @t179 @t137 @t138 @t175 @t117 @t119 @t120 @t135 @t117 @t119 @t120 @t161 @t162 @t134 @t163 @t166 @t117 @t120 @t118 @t122 @t128 @t149 @t127))) % 0.44/0.67 (step @p282 :rule cnf_equiv_pos1 :args (@t146)) % 0.44/0.67 (step @p283 :rule reordering :premises (@p282) :args ((or @t194 @t145 (not @t146)))) % 0.44/0.67 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p136) :args (@t145 @t157 (@list @t123 @t146))) % 0.44/0.67 (step @p285 :rule cnf_and_pos :args (@t145 2)) % 0.44/0.67 (step @p286 :rule reordering :premises (@p285) :args ((or @t136 @t195))) % 0.44/0.67 (step @p287 :rule chain_m_resolution :premises (@p286 @p284) :args (@t136 @t154 @t196)) % 0.44/0.67 (step @p288 :rule refl :args (@t129)) % 0.44/0.67 (step @p289 :rule refl :args (@t192)) % 0.44/0.67 (step @p290 :rule refl :args (@t130)) % 0.44/0.67 (step @p291 :rule bool-double-not-elim :args (@t125)) % 0.44/0.67 (step @p292 :rule refl :args (@t137)) % 0.44/0.67 (step @p293 :rule nary_cong :premises (@p292 @p291 @p290 @p289 @p288) :args ((or @t137 @t197 @t130 @t192 @t129))) % 0.44/0.67 (step @p294 :rule cnf_and_neg :args (@t137)) % 0.44/0.67 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 0.44/0.67 (step @p296 :rule reordering :premises (@p295) :args ((or @t125 @t130 @t129 @t192 @t137))) % 0.44/0.67 (step @p297 :rule chain_m_resolution :premises (@p296 @p118 @p115 @p109 @p287) :args (@t137 @t140 (@list @t125 @t124 @t115 @t136))) % 0.44/0.67 (step @p298 :rule cnf_equiv_pos1 :args (@t138)) % 0.44/0.67 (step @p299 :rule reordering :premises (@p298) :args ((or @t135 @t183 @t176))) % 0.44/0.67 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p121) :args (@t135 @t157 (@list @t137 @t138))) % 0.44/0.67 (step @p301 :rule cnf_and_pos :args (@t135 2)) % 0.44/0.67 (step @p302 :rule reordering :premises (@p301) :args ((or @t134 @t177))) % 0.44/0.67 (step @p303 :rule chain_m_resolution :premises (@p302 @p300) :args (@t134 @t154 (@list @t135))) % 0.44/0.67 (step @p304 :rule instantiate :premises (@p132) :args (@t160)) % 0.44/0.67 (step @p305 :rule cnf_or_pos :args (@t200)) % 0.44/0.67 (step @p306 :rule reordering :premises (@p305) :args ((or @t120 @t165 @t199 (not @t200)))) % 0.44/0.67 (step @p307 :rule chain_m_resolution :premises (@p306 @p161 @p171 @p304) :args (@t199 @t148 (@list @t120 @t117 @t200))) % 0.44/0.67 (step @p308 :rule refl :args (@t194)) % 0.44/0.67 (step @p309 :rule refl :args (@t127)) % 0.44/0.67 (step @p310 :rule nary_cong :premises (@p309 @p291 @p290 @p308 @p288) :args ((or @t127 @t197 @t130 @t194 @t129))) % 0.44/0.67 (step @p311 :rule cnf_and_neg :args (@t127)) % 0.44/0.67 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.44/0.67 (step @p313 :rule reordering :premises (@p312) :args ((or @t125 @t130 @t129 @t127 @t194))) % 0.44/0.67 (step @p314 :rule chain_m_resolution :premises (@p313 @p118 @p115 @p109 @p281) :args (@t127 @t140 (@list @t125 @t124 @t115 @t123))) % 0.44/0.67 (step @p315 :rule cnf_equiv_neg2 :args (@t128)) % 0.44/0.67 (step @p316 :rule chain_m_resolution :premises (@p315 @p142 @p314) :args (@t150 @t201 (@list @t128 @t127))) % 0.44/0.67 (step @p317 :rule refl :args (@t164)) % 0.44/0.67 (step @p318 :rule refl :args (@t122)) % 0.44/0.67 (step @p319 :rule nary_cong :premises (@p318 @p216 @p215 @p317 @p213) :args ((or @t122 @t172 @t171 @t164 @t165))) % 0.44/0.67 (step @p320 :rule cnf_and_neg :args (@t122)) % 0.44/0.67 (step @p321 :rule eq_resolve :premises (@p320 @p319)) % 0.44/0.67 (step @p322 :rule reordering :premises (@p321) :args ((or @t120 @t122 @t171 @t164 @t165))) % 0.44/0.67 (step @p323 :rule chain_m_resolution :premises (@p322 @p161 @p316 @p212 @p171) :args (@t164 (@list true true false false) (@list @t120 @t122 @t119 @t117))) % 0.44/0.67 (step @p324 :rule cnf_equiv_pos2 :args (@t199)) % 0.44/0.67 (step @p325 :rule reordering :premises (@p324) :args ((or @t118 @t202 (not @t199)))) % 0.44/0.67 (step @p326 :rule chain_m_resolution :premises (@p325 @p323 @p307) :args (@t202 @t201 (@list @t118 @t199))) % 0.44/0.67 (step @p327 :rule cnf_and_pos :args (@t145 1)) % 0.44/0.67 (step @p328 :rule 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@p109 @p332 @p329) :args (@t178 (@list true false false false false) (@list @t125 @t124 @t115 @t144 @t143))) % 0.44/0.67 (step @p341 :rule cnf_equiv_pos1 :args (@t179)) % 0.44/0.67 (step @p342 :rule reordering :premises (@p341) :args ((or @t175 @t184 @t181))) % 0.44/0.67 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p242) :args (@t175 @t157 (@list @t178 @t179))) % 0.44/0.67 (step @p344 :rule cnf_and_pos :args (@t175 2)) % 0.44/0.67 (step @p345 :rule reordering :premises (@p344) :args ((or @t162 @t182))) % 0.44/0.67 (step @p346 :rule chain_m_resolution :premises (@p345 @p343) :args (@t162 @t154 @t203)) % 0.44/0.67 (step @p347 :rule cnf_and_pos :args (@t175 3)) % 0.44/0.67 (step @p348 :rule reordering :premises (@p347) :args ((or @t161 @t182))) % 0.44/0.67 (step @p349 :rule chain_m_resolution :premises (@p348 @p343) :args (@t161 @t154 @t203)) % 0.44/0.67 (step @p350 :rule cnf_and_neg :args (@t198)) % 0.44/0.67 (step @p351 :rule reordering :premises (@p350) :args ((or @t174 @t170 @t198 @t173))) % 0.44/0.67 (step @p352 false :rule chain_m_resolution :premises (@p351 @p349 @p346 @p326 @p303) :args (false (@list false false true false) (@list @t161 @t162 @t198 @t134))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------