%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT302+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:30:12 AM UTC 2026 % Result : Theorem 0.85s 1.11s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT302+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n019.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 06:17:04 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.11 % SZS status Theorem % 0.85/1.11 % SZS output start Proof % 0.85/1.11 ( % 0.85/1.11 (declare-sort $$unsorted 0) % 0.85/1.11 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k6_domain_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.85/1.11 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (define @t1 () (@var "A" $$unsorted)) % 0.85/1.11 (define @t2 () (tptp.k5_lattices @t1)) % 0.85/1.11 (define @t3 () (tptp.u1_struct_0 @t1)) % 0.85/1.11 (define @t4 () (tptp.m2_filter_2 (tptp.k6_domain_1 @t3 @t2) @t1)) % 0.85/1.11 (define @t5 () (tptp.v13_lattices @t1)) % 0.85/1.11 (define @t6 () (=> @t5 @t4)) % 0.85/1.11 (define @t7 () (tptp.l3_lattices @t1)) % 0.85/1.11 (define @t8 () (tptp.v10_lattices @t1)) % 0.85/1.11 (define @t9 () (tptp.v3_struct_0 @t1)) % 0.85/1.11 (define @t10 () (not @t9)) % 0.85/1.11 (define @t11 () (and @t10 @t8 @t7)) % 0.85/1.11 (define @t12 () (@list @t1)) % 0.85/1.11 (define @t13 () (forall @t12 (=> @t11 @t6))) % 0.85/1.11 (define @t14 () (not @t13)) % 0.85/1.11 (define @t15 () (tptp.u1_lattices @t1)) % 0.85/1.11 (define @t16 () (tptp.u2_lattices @t1)) % 0.85/1.11 (define @t17 () (tptp.v3_lattices @t1)) % 0.85/1.11 (define @t18 () (@var "B" $$unsorted)) % 0.85/1.11 (define @t19 () (tptp.r2_hidden @t1 @t18)) % 0.85/1.11 (define @t20 () (@list @t1 @t18)) % 0.85/1.11 (define @t21 () (tptp.v1_funct_1 @t1)) % 0.85/1.11 (define @t22 () (tptp.v1_xboole_0 @t1)) % 0.85/1.11 (define @t23 () (tptp.v9_lattices @t1)) % 0.85/1.11 (define @t24 () (tptp.v8_lattices @t1)) % 0.85/1.11 (define @t25 () (tptp.v7_lattices @t1)) % 0.85/1.11 (define @t26 () (tptp.v6_lattices @t1)) % 0.85/1.11 (define @t27 () (tptp.v5_lattices @t1)) % 0.85/1.11 (define @t28 () (tptp.v4_lattices @t1)) % 0.85/1.11 (define @t29 () (and @t10 @t28 @t27 @t26 @t25 @t24 @t23)) % 0.85/1.11 (define @t30 () (and @t10 @t8)) % 0.85/1.11 (define @t31 () (not @t22)) % 0.85/1.11 (define @t32 () (tptp.v1_realset1 @t1)) % 0.85/1.11 (define @t33 () (not @t32)) % 0.85/1.11 (define @t34 () (@var "C" $$unsorted)) % 0.85/1.11 (define @t35 () (tptp.k2_zfmisc_1 @t1 @t18)) % 0.85/1.11 (define @t36 () (tptp.m1_subset_1 @t34 (tptp.k1_zfmisc_1 @t35))) % 0.85/1.11 (define @t37 () (@list @t1 @t18 @t34)) % 0.85/1.11 (define @t38 () (tptp.v1_relat_1 @t1)) % 0.85/1.11 (define @t39 () (and @t38 @t21 (tptp.v2_funct_1 @t1))) % 0.85/1.11 (define @t40 () (and @t38 @t22 @t21)) % 0.85/1.11 (define @t41 () (tptp.v15_lattices @t1)) % 0.85/1.11 (define @t42 () (and @t10 @t41)) % 0.85/1.11 (define @t43 () (tptp.v14_lattices @t1)) % 0.85/1.11 (define @t44 () (and @t10 @t5 @t43)) % 0.85/1.11 (define @t45 () (tptp.k1_lattice2 @t1)) % 0.85/1.11 (define @t46 () (tptp.g3_lattices @t1 @t18 @t34)) % 0.85/1.11 (define @t47 () (tptp.v3_lattices @t46)) % 0.85/1.11 (define @t48 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.85/1.11 (define @t49 () (tptp.m1_relset_1 @t34 @t48 @t1)) % 0.85/1.11 (define @t50 () (tptp.v1_funct_2 @t34 @t48 @t1)) % 0.85/1.11 (define @t51 () (tptp.v1_funct_1 @t34)) % 0.85/1.11 (define @t52 () (tptp.m1_relset_1 @t18 @t48 @t1)) % 0.85/1.11 (define @t53 () (tptp.v1_funct_2 @t18 @t48 @t1)) % 0.85/1.11 (define @t54 () (tptp.v1_funct_1 @t18)) % 0.85/1.11 (define @t55 () (and @t54 @t53 @t52 @t51 @t50 @t49)) % 0.85/1.11 (define @t56 () (tptp.v3_lattices @t45)) % 0.85/1.11 (define @t57 () (and @t56 (tptp.l3_lattices @t45))) % 0.85/1.11 (define @t58 () (forall @t12 (=> @t7 @t57))) % 0.85/1.11 (define @t59 () (tptp.m1_subset_1 @t2 @t3)) % 0.85/1.11 (define @t60 () (tptp.l1_lattices @t1)) % 0.85/1.11 (define @t61 () (and @t10 @t60)) % 0.85/1.11 (define @t62 () (forall @t12 (=> @t61 @t59))) % 0.85/1.11 (define @t63 () (tptp.k1_zfmisc_1 @t1)) % 0.85/1.11 (define @t64 () (tptp.k6_domain_1 @t1 @t18)) % 0.85/1.11 (define @t65 () (tptp.m1_subset_1 @t18 @t1)) % 0.85/1.11 (define @t66 () (and @t31 @t65)) % 0.85/1.11 (define @t67 () (tptp.k6_lattices @t1)) % 0.85/1.11 (define @t68 () (tptp.m1_subset_1 @t67 @t3)) % 0.85/1.11 (define @t69 () (tptp.l2_lattices @t1)) % 0.85/1.11 (define @t70 () (and @t10 @t69)) % 0.85/1.11 (define @t71 () (forall @t12 (=> @t70 @t68))) % 0.85/1.11 (define @t72 () (tptp.l1_struct_0 @t1)) % 0.85/1.11 (define @t73 () (forall @t12 (=> @t60 @t72))) % 0.85/1.11 (define @t74 () (and @t60 @t69)) % 0.85/1.11 (define @t75 () (forall @t12 (=> @t7 @t74))) % 0.85/1.11 (define @t76 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t3))) % 0.85/1.11 (define @t77 () (tptp.v1_xboole_0 @t18)) % 0.85/1.11 (define @t78 () (not @t77)) % 0.85/1.11 (define @t79 () (tptp.m1_filter_0 @t18 @t1)) % 0.85/1.11 (define @t80 () (@list @t18)) % 0.85/1.11 (define @t81 () (tptp.m2_lattice4 @t18 @t1)) % 0.85/1.11 (define @t82 () (and @t78 @t81)) % 0.85/1.11 (define @t83 () (tptp.m1_filter_2 @t18 @t1)) % 0.85/1.11 (define @t84 () (tptp.m2_filter_2 @t18 @t1)) % 0.85/1.11 (define @t85 () (tptp.m2_relset_1 @t34 @t1 @t18)) % 0.85/1.11 (define @t86 () (tptp.k2_zfmisc_1 @t3 @t3)) % 0.85/1.11 (define @t87 () (tptp.v1_funct_2 @t15 @t86 @t3)) % 0.85/1.11 (define @t88 () (tptp.v1_funct_1 @t15)) % 0.85/1.11 (define @t89 () (tptp.v1_funct_2 @t16 @t86 @t3)) % 0.85/1.11 (define @t90 () (tptp.v1_funct_1 @t16)) % 0.85/1.11 (define @t91 () (tptp.m1_relset_1 @t34 @t1 @t18)) % 0.85/1.11 (define @t92 () (@list @t34)) % 0.85/1.11 (define @t93 () (not (tptp.v3_struct_0 @t45))) % 0.85/1.11 (define @t94 () (and @t93 @t56)) % 0.85/1.11 (define @t95 () (and @t10 @t7)) % 0.85/1.11 (define @t96 () (forall @t12 (=> @t95 @t94))) % 0.85/1.11 (define @t97 () (not (tptp.v1_xboole_0 @t3))) % 0.85/1.11 (define @t98 () (and @t10 @t72)) % 0.85/1.11 (define @t99 () (forall @t12 (=> @t98 @t97))) % 0.85/1.11 (define @t100 () (tptp.v1_partfun1 @t16 @t86 @t3)) % 0.85/1.11 (define @t101 () (tptp.v1_relat_1 @t16)) % 0.85/1.11 (define @t102 () (tptp.k1_tarski @t1)) % 0.85/1.11 (define @t103 () (not (tptp.v1_xboole_0 @t102))) % 0.85/1.11 (define @t104 () (tptp.v1_partfun1 @t15 @t86 @t3)) % 0.85/1.11 (define @t105 () (tptp.v1_relat_1 @t15)) % 0.85/1.11 (define @t106 () (and @t93 @t56 (tptp.v4_lattices @t45) (tptp.v5_lattices @t45) (tptp.v6_lattices @t45) (tptp.v7_lattices @t45) (tptp.v8_lattices @t45) (tptp.v9_lattices @t45) (tptp.v10_lattices @t45))) % 0.85/1.11 (define @t107 () (forall @t12 (=> @t11 @t106))) % 0.85/1.11 (define @t108 () (@var "F" $$unsorted)) % 0.85/1.11 (define @t109 () (@var "E" $$unsorted)) % 0.85/1.11 (define @t110 () (@var "D" $$unsorted)) % 0.85/1.11 (define @t111 () (tptp.m1_subset_1 @t18 @t63)) % 0.85/1.11 (define @t112 () (= @t64 (tptp.k1_tarski @t18))) % 0.85/1.11 (define @t113 () (forall @t20 (=> @t66 @t112))) % 0.85/1.11 (define @t114 () (forall @t80 (= @t83 @t79))) % 0.85/1.11 (define @t115 () (=> @t11 @t114)) % 0.85/1.11 (define @t116 () (forall @t12 @t115)) % 0.85/1.11 (define @t117 () (tptp.m1_filter_0 (tptp.k6_domain_1 @t3 @t67) @t1)) % 0.85/1.11 (define @t118 () (and @t10 @t8 @t43 @t7)) % 0.85/1.11 (define @t119 () (=> @t118 @t117)) % 0.85/1.11 (define @t120 () (forall @t12 (=> @t11 @t119))) % 0.85/1.11 (define @t121 () (tptp.m1_subset_1 @t1 @t18)) % 0.85/1.11 (define @t122 () (forall @t80 (= @t84 (tptp.m1_filter_2 @t18 @t45)))) % 0.85/1.11 (define @t123 () (forall @t12 (=> @t11 @t122))) % 0.85/1.11 (define @t124 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t34))) % 0.85/1.11 (define @t125 () (= @t5 (tptp.v14_lattices @t45))) % 0.85/1.11 (define @t126 () (forall @t12 (=> @t11 @t125))) % 0.85/1.11 (define @t127 () (= @t2 (tptp.k6_lattices @t45))) % 0.85/1.11 (define @t128 () (and @t10 @t8 @t5 @t7)) % 0.85/1.11 (define @t129 () (forall @t12 (=> @t128 @t127))) % 0.85/1.11 (define @t130 () (@var "BOUND_VARIABLE_8341" $$unsorted)) % 0.85/1.11 (define @t131 () (= (tptp.m2_filter_2 @t130 @t1) (tptp.m1_filter_2 @t130 @t45))) % 0.85/1.11 (define @t132 () (not @t7)) % 0.85/1.11 (define @t133 () (not @t8)) % 0.85/1.11 (define @t134 () (or @t9 @t133 @t132 @t131)) % 0.85/1.11 (define @t135 () (forall (@list @t1 @t130) @t134)) % 0.85/1.11 (define @t136 () (@list @t130)) % 0.85/1.11 (define @t137 () (forall @t136 @t134)) % 0.85/1.11 (define @t138 () (forall @t136 @t131)) % 0.85/1.11 (define @t139 () (@list @t18)) % 0.85/1.11 (define @t140 () (or @t9 @t133 @t132 @t138)) % 0.85/1.11 (define @t141 () (or @t9 @t133 @t132 @t122)) % 0.85/1.11 (define @t142 () (or @t9 @t133 @t132)) % 0.85/1.11 (define @t143 () (not @t10)) % 0.85/1.11 (define @t144 () (or @t143 @t133 @t132)) % 0.85/1.11 (define @t145 () (not @t11)) % 0.85/1.11 (define @t146 () (not @t5)) % 0.85/1.11 (define @t147 () (or @t9 @t133 @t132 @t146 @t4)) % 0.85/1.11 (define @t148 () (@quantifiers_skolemize (forall @t12 @t147) 0)) % 0.85/1.11 (define @t149 () (tptp.k1_lattice2 @t148)) % 0.85/1.11 (define @t150 () (tptp.k6_lattices @t149)) % 0.85/1.11 (define @t151 () (tptp.u1_struct_0 @t149)) % 0.85/1.11 (define @t152 () (tptp.k6_domain_1 @t151 @t150)) % 0.85/1.11 (define @t153 () (tptp.m2_filter_2 @t152 @t148)) % 0.85/1.11 (define @t154 () (tptp.m1_filter_2 @t152 @t149)) % 0.85/1.11 (define @t155 () (tptp.l3_lattices @t148)) % 0.85/1.11 (define @t156 () (not @t155)) % 0.85/1.11 (define @t157 () (tptp.v10_lattices @t148)) % 0.85/1.11 (define @t158 () (not @t157)) % 0.85/1.11 (define @t159 () (tptp.v3_struct_0 @t148)) % 0.85/1.11 (define @t160 () (or @t159 @t158 @t156 (= @t153 @t154))) % 0.85/1.11 (define @t161 () (= @t154 @t153)) % 0.85/1.11 (define @t162 () (or @t159 @t158 @t156 @t161)) % 0.85/1.11 (define @t163 () (@list false)) % 0.85/1.11 (define @t164 () (tptp.k5_lattices @t148)) % 0.85/1.11 (define @t165 () (tptp.u1_struct_0 @t148)) % 0.85/1.11 (define @t166 () (tptp.k6_domain_1 @t165 @t164)) % 0.85/1.11 (define @t167 () (tptp.m2_filter_2 @t166 @t148)) % 0.85/1.11 (define @t168 () (tptp.v13_lattices @t148)) % 0.85/1.11 (define @t169 () (not @t168)) % 0.85/1.11 (define @t170 () (or @t159 @t158 @t156 @t169 @t167)) % 0.85/1.11 (define @t171 () (@list true)) % 0.85/1.11 (define @t172 () (@list @t170)) % 0.85/1.11 (define @t173 () (@list true false false false)) % 0.85/1.11 (define @t174 () (@var "BOUND_VARIABLE_8319" $$unsorted)) % 0.85/1.11 (define @t175 () (= (tptp.m1_filter_0 @t174 @t1) (tptp.m1_filter_2 @t174 @t1))) % 0.85/1.11 (define @t176 () (or @t9 @t133 @t132 @t175)) % 0.85/1.11 (define @t177 () (@list @t174)) % 0.85/1.11 (define @t178 () (forall @t177 @t176)) % 0.85/1.11 (define @t179 () (forall @t177 @t175)) % 0.85/1.11 (define @t180 () (or @t9 @t133 @t132 @t179)) % 0.85/1.11 (define @t181 () (forall @t80 (= @t79 @t83))) % 0.85/1.11 (define @t182 () (or @t9 @t133 @t132 @t181)) % 0.85/1.11 (define @t183 () (@list @t148)) % 0.85/1.11 (define @t184 () (tptp.l3_lattices @t149)) % 0.85/1.11 (define @t185 () (tptp.v3_lattices @t149)) % 0.85/1.11 (define @t186 () (and @t185 @t184)) % 0.85/1.11 (define @t187 () (or @t156 @t186)) % 0.85/1.11 (define @t188 () (@list false false)) % 0.85/1.11 (define @t189 () (tptp.v10_lattices @t149)) % 0.85/1.11 (define @t190 () (tptp.v3_struct_0 @t149)) % 0.85/1.11 (define @t191 () (not @t190)) % 0.85/1.11 (define @t192 () (and @t191 @t185 (tptp.v4_lattices @t149) (tptp.v5_lattices @t149) (tptp.v6_lattices @t149) (tptp.v7_lattices @t149) (tptp.v8_lattices @t149) (tptp.v9_lattices @t149) @t189)) % 0.85/1.11 (define @t193 () (or @t159 @t158 @t156 @t192)) % 0.85/1.11 (define @t194 () (and @t191 @t185)) % 0.85/1.11 (define @t195 () (or @t159 @t156 @t194)) % 0.85/1.11 (define @t196 () (@list true false false)) % 0.85/1.11 (define @t197 () (tptp.m1_filter_0 @t152 @t149)) % 0.85/1.11 (define @t198 () (= @t197 @t154)) % 0.85/1.11 (define @t199 () (not @t184)) % 0.85/1.11 (define @t200 () (not @t189)) % 0.85/1.11 (define @t201 () (or @t190 @t200 @t199 @t198)) % 0.85/1.11 (define @t202 () (not @t43)) % 0.85/1.11 (define @t203 () (or @t9 @t133 @t202 @t132 @t117)) % 0.85/1.11 (define @t204 () (or @t143 @t133 @t202 @t132)) % 0.85/1.11 (define @t205 () (@list @t149)) % 0.85/1.11 (define @t206 () (tptp.v14_lattices @t149)) % 0.85/1.11 (define @t207 () (= @t168 @t206)) % 0.85/1.11 (define @t208 () (or @t159 @t158 @t156 @t207)) % 0.85/1.11 (define @t209 () (not @t206)) % 0.85/1.11 (define @t210 () (or @t190 @t200 @t199 @t209 @t197)) % 0.85/1.11 (define @t211 () (@list true false false false false)) % 0.85/1.11 (define @t212 () (not @t65)) % 0.85/1.11 (define @t213 () (not @t69)) % 0.85/1.11 (define @t214 () (tptp.l2_lattices @t149)) % 0.85/1.11 (define @t215 () (tptp.l1_lattices @t149)) % 0.85/1.11 (define @t216 () (and @t215 @t214)) % 0.85/1.11 (define @t217 () (or @t199 @t216)) % 0.85/1.11 (define @t218 () (not @t216)) % 0.85/1.11 (define @t219 () (@list @t216)) % 0.85/1.11 (define @t220 () (tptp.m1_subset_1 @t150 @t151)) % 0.85/1.11 (define @t221 () (not @t214)) % 0.85/1.11 (define @t222 () (or @t190 @t221 @t220)) % 0.85/1.11 (define @t223 () (not @t72)) % 0.85/1.11 (define @t224 () (tptp.l1_struct_0 @t149)) % 0.85/1.11 (define @t225 () (not @t215)) % 0.85/1.11 (define @t226 () (or @t225 @t224)) % 0.85/1.11 (define @t227 () (tptp.v1_xboole_0 @t151)) % 0.85/1.11 (define @t228 () (not @t227)) % 0.85/1.11 (define @t229 () (not @t224)) % 0.85/1.11 (define @t230 () (or @t190 @t229 @t228)) % 0.85/1.11 (define @t231 () (= @t152 (tptp.k1_tarski @t150))) % 0.85/1.11 (define @t232 () (not @t220)) % 0.85/1.11 (define @t233 () (or @t227 @t232 @t231)) % 0.85/1.11 (define @t234 () (or @t143 @t133 @t146 @t132)) % 0.85/1.11 (define @t235 () (= @t164 @t150)) % 0.85/1.11 (define @t236 () (or @t159 @t158 @t169 @t156 @t235)) % 0.85/1.11 (define @t237 () (tptp.k1_tarski @t164)) % 0.85/1.11 (define @t238 () (not @t60)) % 0.85/1.11 (define @t239 () (tptp.l1_lattices @t148)) % 0.85/1.11 (define @t240 () (and @t239 (tptp.l2_lattices @t148))) % 0.85/1.11 (define @t241 () (or @t156 @t240)) % 0.85/1.11 (define @t242 () (tptp.m1_subset_1 @t164 @t165)) % 0.85/1.11 (define @t243 () (not @t239)) % 0.85/1.11 (define @t244 () (or @t159 @t243 @t242)) % 0.85/1.11 (define @t245 () (tptp.l1_struct_0 @t148)) % 0.85/1.11 (define @t246 () (or @t243 @t245)) % 0.85/1.11 (define @t247 () (tptp.v1_xboole_0 @t165)) % 0.85/1.11 (define @t248 () (not @t247)) % 0.85/1.11 (define @t249 () (not @t245)) % 0.85/1.11 (define @t250 () (or @t159 @t249 @t248)) % 0.85/1.11 (define @t251 () (= @t166 @t237)) % 0.85/1.11 (define @t252 () (not @t242)) % 0.85/1.11 (define @t253 () (or @t247 @t252 @t251)) % 0.85/1.11 (assume @p1 @t14) % 0.85/1.11 (assume @p2 (forall @t12 (=> @t7 (=> @t17 (= @t1 (tptp.g3_lattices @t3 @t16 @t15)))))) % 0.85/1.11 (assume @p3 (forall @t20 (=> @t19 (not (tptp.r2_hidden @t18 @t1))))) % 0.85/1.11 (assume @p4 (forall @t12 (=> @t22 @t21))) % 0.85/1.11 (assume @p5 (forall @t12 (=> @t7 (=> @t30 @t29)))) % 0.85/1.11 (assume @p6 (forall @t12 (=> @t33 @t31))) % 0.85/1.11 (assume @p7 (forall @t37 (=> @t36 (tptp.v1_relat_1 @t34)))) % 0.85/1.11 (assume @p8 (forall @t12 (=> @t40 @t39))) % 0.85/1.11 (assume @p9 (forall @t12 (=> @t7 (=> @t29 @t30)))) % 0.85/1.11 (assume @p10 (forall @t12 (=> @t7 (=> @t44 @t42)))) % 0.85/1.11 (assume @p11 (forall @t12 (=> @t7 (=> @t42 @t44)))) % 0.85/1.11 (assume @p12 (forall @t12 (=> @t7 (= @t45 (tptp.g3_lattices @t3 @t15 @t16))))) % 0.85/1.11 (assume @p13 (forall @t37 (=> @t55 (and @t47 (tptp.l3_lattices @t46))))) % 0.85/1.11 (assume @p14 @t58) % 0.85/1.11 (assume @p15 true) % 0.85/1.11 (assume @p16 @t62) % 0.85/1.11 (assume @p17 (forall @t20 (=> @t66 (tptp.m1_subset_1 @t64 @t63)))) % 0.85/1.11 (assume @p18 @t71) % 0.85/1.11 (assume @p19 @t73) % 0.85/1.11 (assume @p20 (forall @t12 (=> @t69 @t72))) % 0.85/1.11 (assume @p21 @t75) % 0.85/1.11 (assume @p22 (forall @t12 (=> @t11 (forall @t80 (=> @t79 (and @t78 @t76)))))) % 0.85/1.11 (assume @p23 (forall @t12 (=> @t11 (forall @t80 (=> @t83 @t82))))) % 0.85/1.11 (assume @p24 (forall @t12 (=> @t11 (forall @t80 (=> @t84 @t82))))) % 0.85/1.11 (assume @p25 (forall @t12 (=> @t11 (forall @t80 (=> @t81 @t76))))) % 0.85/1.11 (assume @p26 (forall @t37 (=> @t85 @t36))) % 0.85/1.11 (assume @p27 (forall @t12 (=> @t60 (and @t88 @t87 (tptp.m2_relset_1 @t15 @t86 @t3))))) % 0.85/1.11 (assume @p28 (forall @t12 (=> @t69 (and @t90 @t89 (tptp.m2_relset_1 @t16 @t86 @t3))))) % 0.85/1.11 (assume @p29 (exists @t12 @t60)) % 0.85/1.11 (assume @p30 (exists @t12 @t72)) % 0.85/1.11 (assume @p31 (exists @t12 @t69)) % 0.85/1.11 (assume @p32 (exists @t12 @t7)) % 0.85/1.11 (assume @p33 (forall @t12 (=> @t11 (exists @t80 @t79)))) % 0.85/1.11 (assume @p34 (forall @t12 (=> @t11 (exists @t80 @t83)))) % 0.85/1.11 (assume @p35 (forall @t20 (exists @t92 @t91))) % 0.85/1.11 (assume @p36 (forall @t12 (exists @t80 @t65))) % 0.85/1.11 (assume @p37 (forall @t12 (=> @t11 (exists @t80 @t84)))) % 0.85/1.11 (assume @p38 (forall @t12 (=> @t11 (exists @t80 @t81)))) % 0.85/1.11 (assume @p39 (forall @t20 (exists @t92 @t85))) % 0.85/1.11 (assume @p40 @t96) % 0.85/1.11 (assume @p41 @t99) % 0.85/1.11 (assume @p42 (forall @t12 (not (tptp.v1_xboole_0 @t63)))) % 0.85/1.11 (assume @p43 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.85/1.11 (assume @p44 (forall @t12 (=> (and @t10 @t28 @t69) (and @t101 @t90 @t89 (tptp.v1_binop_1 @t16 @t3) @t100)))) % 0.85/1.11 (assume @p45 (forall @t12 @t103)) % 0.85/1.11 (assume @p46 (forall @t12 (=> (and @t10 @t27 @t69) (and @t101 @t90 @t89 (tptp.v2_binop_1 @t16 @t3) @t100)))) % 0.85/1.11 (assume @p47 (forall @t37 (=> (and @t31 @t54 @t53 @t52 @t51 @t50 @t49) (and (not (tptp.v3_struct_0 @t46)) @t47)))) % 0.85/1.11 (assume @p48 (forall @t12 (and @t103 (tptp.v1_finset_1 @t102) (tptp.v1_realset1 @t102)))) % 0.85/1.11 (assume @p49 (forall @t12 (=> (and @t10 @t26 @t60) (and @t105 @t88 @t87 (tptp.v1_binop_1 @t15 @t3) @t104)))) % 0.85/1.11 (assume @p50 (forall @t20 (=> (and @t31 @t78) (not (tptp.v1_xboole_0 @t35))))) % 0.85/1.11 (assume @p51 (forall @t12 (=> (and @t10 @t25 @t60) (and @t105 @t88 @t87 (tptp.v2_binop_1 @t15 @t3) @t104)))) % 0.85/1.11 (assume @p52 @t107) % 0.85/1.11 (assume @p53 (forall @t37 (=> @t55 (forall (@list @t110 @t109 @t108) (=> (= @t46 (tptp.g3_lattices @t110 @t109 @t108)) (and (= @t1 @t110) (= @t18 @t109) (= @t34 @t108))))))) % 0.85/1.11 (assume @p54 (exists @t12 (and @t7 @t10 @t17 @t28 @t27 @t26 @t25 @t24 @t23 @t8 @t5 @t43 @t41))) % 0.85/1.11 (assume @p55 (exists @t12 (and @t38 @t21))) % 0.85/1.11 (assume @p56 (forall @t12 (=> @t11 (exists @t80 (and @t81 @t78))))) % 0.85/1.11 (assume @p57 (exists @t12 (and @t31 @t32))) % 0.85/1.11 (assume @p58 (forall @t12 (=> @t31 (exists @t80 (and @t111 @t78))))) % 0.85/1.11 (assume @p59 (exists @t12 @t22)) % 0.85/1.11 (assume @p60 (exists @t12 @t40)) % 0.85/1.11 (assume @p61 (exists @t12 (and @t31 @t33))) % 0.85/1.11 (assume @p62 (forall @t12 (exists @t80 (and @t111 @t77)))) % 0.85/1.11 (assume @p63 (exists @t12 @t31)) % 0.85/1.11 (assume @p64 (exists @t12 @t39)) % 0.85/1.11 (assume @p65 (exists @t12 (and @t7 @t17))) % 0.85/1.11 (assume @p66 (exists @t12 (and @t72 @t10))) % 0.85/1.11 (assume @p67 (forall @t12 (=> @t98 (exists @t80 (and @t76 @t78))))) % 0.85/1.11 (assume @p68 (exists @t12 (and @t7 @t10 @t17))) % 0.85/1.11 (assume @p69 (exists @t12 (and @t7 @t10 @t17 @t28 @t27 @t26 @t25 @t24 @t23 @t8))) % 0.85/1.11 (assume @p70 @t113) % 0.85/1.11 (assume @p71 @t116) % 0.85/1.11 (assume @p72 (forall @t37 (= @t85 @t91))) % 0.85/1.11 (assume @p73 (forall @t20 (tptp.r1_tarski @t1 @t1))) % 0.85/1.11 (assume @p74 @t120) % 0.85/1.11 (assume @p75 (forall @t20 (=> @t19 @t121))) % 0.85/1.11 (assume @p76 @t123) % 0.85/1.11 (assume @p77 (forall @t20 (=> @t121 (or @t77 @t19)))) % 0.85/1.11 (assume @p78 (forall @t20 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t18)) (tptp.r1_tarski @t1 @t18)))) % 0.85/1.11 (assume @p79 (forall @t37 (=> (and @t19 @t124) (tptp.m1_subset_1 @t1 @t34)))) % 0.85/1.11 (assume @p80 (forall @t37 (not (and @t19 @t124 (tptp.v1_xboole_0 @t34))))) % 0.85/1.11 (assume @p81 @t126) % 0.85/1.11 (assume @p82 (forall @t12 (=> @t22 (= @t1 tptp.k1_xboole_0)))) % 0.85/1.11 (assume @p83 @t129) % 0.85/1.11 (assume @p84 (forall @t20 (not (and @t19 @t77)))) % 0.85/1.11 (assume @p85 (forall @t20 (not (and @t22 (not (= @t1 @t18)) @t77)))) % 0.85/1.11 (step @p86 :rule evaluate :args ((= false true))) % 0.85/1.11 (step @p87 :rule quant-merge-prenex :args ((= (forall @t12 @t137) @t135))) % 0.85/1.11 (step @p88 :rule alpha_equiv :args (@t138 (@list @t130) @t139)) % 0.85/1.11 (step @p89 :rule refl :args (@t132)) % 0.85/1.11 (step @p90 :rule refl :args (@t133)) % 0.85/1.11 (step @p91 :rule refl :args (@t9)) % 0.85/1.11 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88) :args (@t140)) % 0.85/1.11 (step @p93 :rule quant-miniscope-or :args ((= @t137 @t140))) % 0.85/1.11 (step @p94 :rule trans :premises (@p93 @p92)) % 0.85/1.11 (step @p95 :rule symm :premises (@p94)) % 0.85/1.11 (step @p96 :rule cong :premises (@p95) :args ((forall @t12 @t141))) % 0.85/1.11 (step @p97 :rule trans :premises (@p96 @p87)) % 0.85/1.11 (step @p98 :rule aci_norm :args ((= (or @t142 @t122) @t141))) % 0.85/1.11 (step @p99 :rule refl :args (@t122)) % 0.85/1.11 (step @p100 :rule bool-double-not-elim :args (@t9)) % 0.85/1.11 (step @p101 :rule nary_cong :premises (@p100 @p90 @p89) :args (@t144)) % 0.85/1.11 (step @p102 :rule aci_norm :args ((= (or @t143 (or @t133 @t132)) @t144))) % 0.85/1.11 (step @p103 :rule trans :premises (@p102 @p101)) % 0.85/1.11 (step @p104 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.85/1.11 (step @p105 :rule refl :args (@t143)) % 0.85/1.11 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t143 (not (and @t8 @t7))))) % 0.85/1.11 (step @p107 :rule bool-and-de-morgan :args (@t10 @t8 (and @t7))) % 0.85/1.11 (step @p108 :rule trans :premises (@p107 @p106)) % 0.85/1.11 (step @p109 :rule trans :premises (@p108 @p103)) % 0.85/1.11 (step @p110 :rule nary_cong :premises (@p109 @p99) :args ((or @t145 @t122))) % 0.85/1.11 (step @p111 :rule trans :premises (@p110 @p98)) % 0.85/1.11 (step @p112 :rule bool-impl-elim :args (@t11 @t122)) % 0.85/1.11 (step @p113 :rule trans :premises (@p112 @p111)) % 0.85/1.11 (step @p114 :rule cong :premises (@p113) :args (@t123)) % 0.85/1.11 (step @p115 :rule trans :premises (@p114 @p97)) % 0.85/1.11 (step @p116 :rule eq_resolve :premises (@p76 @p115)) % 0.85/1.11 (step @p117 :rule eq-symm :args (@t153 @t154)) % 0.85/1.11 (step @p118 :rule refl :args (@t156)) % 0.85/1.11 (step @p119 :rule refl :args (@t158)) % 0.85/1.11 (step @p120 :rule refl :args (@t159)) % 0.85/1.11 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117) :args (@t160)) % 0.85/1.11 (step @p122 :rule refl :args (@t135)) % 0.85/1.11 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t135 @t160))) % 0.85/1.11 (assume-push @p425 @t135) % 0.85/1.11 (step @p125 :rule instantiate :premises (@p116) :args ((@list @t148 @t152))) % 0.85/1.11 (step-pop @p426 :rule scope :premises (@p125)) % 0.85/1.11 (step @p126 :rule process_scope :premises (@p426) :args (@t160)) % 0.85/1.11 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 0.85/1.11 (step @p129 :rule implies_elim :premises (@p128)) % 0.85/1.11 (step @p130 :rule chain_m_resolution :premises (@p129 @p116) :args (@t162 @t163 (@list @t135))) % 0.85/1.11 (step @p131 :rule aci_norm :args ((= (or @t142 (or @t146 @t4)) @t147))) % 0.85/1.11 (step @p132 :rule bool-impl-elim :args (@t5 @t4)) % 0.85/1.11 (step @p133 :rule nary_cong :premises (@p109 @p132) :args ((or @t145 @t6))) % 0.85/1.11 (step @p134 :rule trans :premises (@p133 @p131)) % 0.85/1.11 (step @p135 :rule bool-impl-elim :args (@t11 @t6)) % 0.85/1.11 (step @p136 :rule trans :premises (@p135 @p134)) % 0.85/1.11 (step @p137 :rule cong :premises (@p136) :args (@t13)) % 0.85/1.11 (step @p138 :rule cong :premises (@p137) :args (@t14)) % 0.85/1.11 (step @p139 :rule eq_resolve :premises (@p1 @p138)) % 0.85/1.11 (step @p140 :rule skolemize :premises (@p139)) % 0.85/1.11 (step @p141 :rule bool-double-not-elim :args (@t155)) % 0.85/1.11 (step @p142 :rule refl :args (@t170)) % 0.85/1.11 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t170 (not @t156)))) % 0.85/1.11 (step @p144 :rule cnf_or_neg :args (@t170 2)) % 0.85/1.11 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.85/1.11 (step @p146 :rule reordering :premises (@p145) :args ((or @t155 @t170))) % 0.85/1.11 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t155 @t171 @t172)) % 0.85/1.11 (step @p148 :rule bool-double-not-elim :args (@t157)) % 0.85/1.11 (step @p149 :rule nary_cong :premises (@p142 @p148) :args ((or @t170 (not @t158)))) % 0.85/1.11 (step @p150 :rule cnf_or_neg :args (@t170 1)) % 0.85/1.11 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.85/1.11 (step @p152 :rule reordering :premises (@p151) :args ((or @t157 @t170))) % 0.85/1.11 (step @p153 :rule chain_m_resolution :premises (@p152 @p140) :args (@t157 @t171 @t172)) % 0.85/1.11 (step @p154 :rule cnf_or_neg :args (@t170 0)) % 0.85/1.11 (step @p155 :rule chain_m_resolution :premises (@p154 @p140) :args ((not @t159) @t171 @t172)) % 0.85/1.11 (step @p156 :rule cnf_or_pos :args (@t162)) % 0.85/1.11 (step @p157 :rule reordering :premises (@p156) :args ((or @t159 @t158 @t156 @t161 (not @t162)))) % 0.85/1.11 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p153 @p147 @p130) :args (@t161 @t173 (@list @t159 @t157 @t155 @t162))) % 0.85/1.11 (step @p159 :rule quant-merge-prenex :args ((= 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0.85/1.11 (step @p353 :rule cnf_or_pos :args (@t233)) % 0.85/1.11 (step @p354 :rule reordering :premises (@p353) :args ((or @t227 @t232 @t231 (not @t233)))) % 0.85/1.11 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p326 @p300) :args (@t231 @t196 (@list @t227 @t220 @t233))) % 0.85/1.11 (step @p356 :rule symm :premises (@p355)) % 0.85/1.11 (step @p357 :rule aci_norm :args ((= (or (or @t9 @t133 @t146 @t132) @t127) (or @t9 @t133 @t146 @t132 @t127)))) % 0.85/1.11 (step @p358 :rule refl :args (@t127)) % 0.85/1.11 (step @p359 :rule refl :args (@t146)) % 0.85/1.11 (step @p360 :rule nary_cong :premises (@p100 @p90 @p359 @p89) :args (@t234)) % 0.85/1.11 (step @p361 :rule aci_norm :args ((= (or @t143 (or @t133 (or @t146 @t132))) @t234))) % 0.85/1.11 (step @p362 :rule trans :premises (@p361 @p360)) % 0.85/1.11 (step @p363 :rule bool-and-de-morgan :args (@t5 @t7 true)) % 0.85/1.11 (step @p364 :rule nary_cong :premises (@p90 @p363) :args ((or @t133 (not (and @t5 @t7))))) % 0.85/1.11 (step @p365 :rule bool-and-de-morgan :args (@t8 @t5 (and @t7))) % 0.85/1.11 (step @p366 :rule trans :premises (@p365 @p364)) % 0.85/1.11 (step @p367 :rule nary_cong :premises (@p105 @p366) :args ((or @t143 (not (and @t8 @t5 @t7))))) % 0.85/1.11 (step @p368 :rule bool-and-de-morgan :args (@t10 @t8 (and @t5 @t7))) % 0.85/1.11 (step @p369 :rule trans :premises (@p368 @p367)) % 0.85/1.11 (step @p370 :rule trans :premises (@p369 @p362)) % 0.85/1.11 (step @p371 :rule nary_cong :premises (@p370 @p358) :args ((or (not @t128) @t127))) % 0.85/1.11 (step @p372 :rule trans :premises (@p371 @p357)) % 0.85/1.11 (step @p373 :rule bool-impl-elim :args (@t128 @t127)) % 0.85/1.11 (step @p374 :rule trans :premises (@p373 @p372)) % 0.85/1.11 (step @p375 :rule cong :premises (@p374) :args (@t129)) % 0.85/1.11 (step @p376 :rule eq_resolve :premises (@p83 @p375)) % 0.85/1.11 (step @p377 :rule instantiate :premises (@p376) :args (@t183)) % 0.85/1.11 (step @p378 :rule cnf_or_pos :args (@t236)) % 0.85/1.11 (step @p379 :rule reordering :premises (@p378) :args ((or @t159 @t158 @t156 @t169 @t235 (not @t236)))) % 0.85/1.11 (step @p380 :rule chain_m_resolution :premises (@p379 @p155 @p153 @p147 @p272 @p377) :args (@t235 @t211 (@list @t159 @t157 @t155 @t168 @t236))) % 0.85/1.11 (step @p381 :rule cong :premises (@p380) :args (@t237)) % 0.85/1.11 (step @p382 :rule instantiate :premises (@p299) :args ((@list @t165 @t164))) % 0.85/1.11 (step @p383 :rule aci_norm :args ((= (or (or @t9 @t238) @t59) (or @t9 @t238 @t59)))) % 0.85/1.11 (step @p384 :rule refl :args (@t59)) % 0.85/1.11 (step @p385 :rule refl :args (@t238)) % 0.85/1.11 (step @p386 :rule nary_cong :premises (@p100 @p385) :args ((or @t143 @t238))) % 0.85/1.11 (step @p387 :rule bool-and-de-morgan :args (@t10 @t60 true)) % 0.85/1.11 (step @p388 :rule trans :premises (@p387 @p386)) % 0.85/1.11 (step @p389 :rule nary_cong :premises (@p388 @p384) :args ((or (not @t61) @t59))) % 0.85/1.11 (step @p390 :rule trans :premises (@p389 @p383)) % 0.85/1.11 (step @p391 :rule bool-impl-elim :args (@t61 @t59)) % 0.85/1.11 (step @p392 :rule trans :premises (@p391 @p390)) % 0.85/1.11 (step @p393 :rule cong :premises (@p392) :args (@t62)) % 0.85/1.11 (step @p394 :rule eq_resolve :premises (@p16 @p393)) % 0.85/1.11 (step @p395 :rule instantiate :premises (@p394) :args (@t183)) % 0.85/1.11 (step @p396 :rule instantiate :premises (@p316) :args (@t183)) % 0.85/1.11 (step @p397 :rule cnf_or_pos :args (@t241)) % 0.85/1.11 (step @p398 :rule reordering :premises (@p397) :args ((or @t156 @t240 (not @t241)))) % 0.85/1.11 (step @p399 :rule chain_m_resolution :premises (@p398 @p147 @p396) :args (@t240 @t188 (@list @t155 @t241))) % 0.85/1.11 (step @p400 :rule cnf_and_pos :args (@t240 0)) % 0.85/1.11 (step @p401 :rule reordering :premises (@p400) :args ((or @t239 (not @t240)))) % 0.85/1.11 (step @p402 :rule chain_m_resolution :premises (@p401 @p399) :args (@t239 @t163 (@list @t240))) % 0.85/1.11 (step @p403 :rule cnf_or_pos :args (@t244)) % 0.85/1.11 (step @p404 :rule reordering :premises (@p403) :args ((or @t159 @t243 @t242 (not @t244)))) % 0.85/1.11 (step @p405 :rule chain_m_resolution :premises (@p404 @p155 @p402 @p395) :args (@t242 @t196 (@list @t159 @t239 @t244))) % 0.85/1.11 (step @p406 :rule instantiate :premises (@p338) :args (@t183)) % 0.85/1.11 (step @p407 :rule instantiate :premises (@p342) :args (@t183)) % 0.85/1.11 (step @p408 :rule cnf_or_pos :args (@t246)) % 0.85/1.11 (step @p409 :rule reordering :premises (@p408) :args ((or @t243 @t245 (not @t246)))) % 0.85/1.11 (step @p410 :rule chain_m_resolution :premises (@p409 @p402 @p407) :args (@t245 @t188 (@list @t239 @t246))) % 0.85/1.11 (step @p411 :rule cnf_or_pos :args (@t250)) % 0.85/1.11 (step @p412 :rule reordering :premises (@p411) :args ((or @t159 @t249 @t248 (not @t250)))) % 0.85/1.11 (step @p413 :rule chain_m_resolution :premises (@p412 @p155 @p410 @p406) :args (@t248 @t196 (@list @t159 @t245 @t250))) % 0.85/1.11 (step @p414 :rule cnf_or_pos :args (@t253)) % 0.85/1.11 (step @p415 :rule reordering :premises (@p414) :args ((or @t247 @t252 @t251 (not @t253)))) % 0.85/1.11 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p405 @p382) :args (@t251 @t196 (@list @t247 @t242 @t253))) % 0.85/1.11 (step @p417 :rule trans :premises (@p416 @p381 @p356)) % 0.85/1.11 (step @p418 :rule cong :premises (@p417 @p286) :args (@t167)) % 0.85/1.11 (step @p419 :rule cnf_or_neg :args (@t170 4)) % 0.85/1.11 (step @p420 :rule chain_m_resolution :premises (@p419 @p140) :args ((not @t167) @t171 @t172)) % 0.85/1.11 (step @p421 :rule false_intro :premises (@p420)) % 0.85/1.11 (step @p422 :rule symm :premises (@p421)) % 0.85/1.11 (step @p423 :rule trans :premises (@p422 @p418 @p285)) % 0.85/1.11 (step @p424 false :rule eq_resolve :premises (@p423 @p86)) % 0.85/1.11 ) % 0.85/1.11 % SZS output end Proof % 0.85/1.11 % cvc5 exiting %------------------------------------------------------------------------------