%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT328+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 : n018.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 08:30:20 AM UTC 2026 % Result : Theorem 33.83s 34.02s % Output : Proof 33.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT328+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 06:31:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.83/34.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.83/34.02 --- Run --no-e-matching --full-saturate-quant at 6... % 33.83/34.02 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.83/34.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.83/34.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.83/34.02 % SZS status Theorem % 33.83/34.02 % SZS output start Proof % 33.83/34.02 ( % 33.83/34.02 (declare-sort $$unsorted 0) % 33.83/34.02 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 33.83/34.02 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.k6_domain_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.83/34.02 (declare-const tptp.k22_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.83/34.02 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 33.83/34.02 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 33.83/34.02 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.k1_xboole_0 $$unsorted) % 33.83/34.02 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 33.83/34.02 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 33.83/34.02 (define @t1 () (@var "B" $$unsorted)) % 33.83/34.02 (define @t2 () (@var "A" $$unsorted)) % 33.83/34.02 (define @t3 () (tptp.u1_struct_0 @t2)) % 33.83/34.02 (define @t4 () (tptp.r1_filter_2 @t3 (tptp.k22_filter_2 @t2 @t1 @t1) (tptp.k6_domain_1 @t3 @t1))) % 33.83/34.02 (define @t5 () (tptp.m1_subset_1 @t1 @t3)) % 33.83/34.02 (define @t6 () (@list @t1)) % 33.83/34.02 (define @t7 () (forall @t6 (=> @t5 @t4))) % 33.83/34.02 (define @t8 () (tptp.l3_lattices @t2)) % 33.83/34.02 (define @t9 () (tptp.v10_lattices @t2)) % 33.83/34.02 (define @t10 () (tptp.v3_struct_0 @t2)) % 33.83/34.02 (define @t11 () (not @t10)) % 33.83/34.02 (define @t12 () (and @t11 @t9 @t8)) % 33.83/34.02 (define @t13 () (=> @t12 @t7)) % 33.83/34.02 (define @t14 () (@list @t2)) % 33.83/34.02 (define @t15 () (forall @t14 @t13)) % 33.83/34.02 (define @t16 () (not @t15)) % 33.83/34.02 (define @t17 () (tptp.r2_hidden @t2 @t1)) % 33.83/34.02 (define @t18 () (@list @t2 @t1)) % 33.83/34.02 (define @t19 () (tptp.v1_xboole_0 @t2)) % 33.83/34.02 (define @t20 () (tptp.v9_lattices @t2)) % 33.83/34.02 (define @t21 () (tptp.v8_lattices @t2)) % 33.83/34.02 (define @t22 () (tptp.v6_lattices @t2)) % 33.83/34.02 (define @t23 () (tptp.v4_lattices @t2)) % 33.83/34.02 (define @t24 () (and @t11 @t23 (tptp.v5_lattices @t2) @t22 (tptp.v7_lattices @t2) @t21 @t20)) % 33.83/34.02 (define @t25 () (and @t11 @t9)) % 33.83/34.02 (define @t26 () (=> @t25 @t24)) % 33.83/34.02 (define @t27 () (forall @t14 (=> @t8 @t26))) % 33.83/34.02 (define @t28 () (not @t19)) % 33.83/34.02 (define @t29 () (tptp.v1_realset1 @t2)) % 33.83/34.02 (define @t30 () (not @t29)) % 33.83/34.02 (define @t31 () (@var "C" $$unsorted)) % 33.83/34.02 (define @t32 () (@var "D" $$unsorted)) % 33.83/34.02 (define @t33 () (tptp.r2_hidden @t32 @t1)) % 33.83/34.02 (define @t34 () (= @t33 (tptp.r2_hidden @t32 @t31))) % 33.83/34.02 (define @t35 () (tptp.m1_subset_1 @t32 @t2)) % 33.83/34.02 (define @t36 () (@list @t32)) % 33.83/34.02 (define @t37 () (forall @t36 (=> @t35 @t34))) % 33.83/34.02 (define @t38 () (tptp.r1_filter_2 @t2 @t1 @t31)) % 33.83/34.02 (define @t39 () (= @t38 @t37)) % 33.83/34.02 (define @t40 () (tptp.k1_zfmisc_1 @t2)) % 33.83/34.02 (define @t41 () (tptp.m1_subset_1 @t31 @t40)) % 33.83/34.02 (define @t42 () (=> @t41 @t39)) % 33.83/34.02 (define @t43 () (@list @t31)) % 33.83/34.02 (define @t44 () (forall @t43 @t42)) % 33.83/34.02 (define @t45 () (tptp.m1_subset_1 @t1 @t40)) % 33.83/34.02 (define @t46 () (=> @t45 @t44)) % 33.83/34.02 (define @t47 () (forall @t6 @t46)) % 33.83/34.02 (define @t48 () (=> @t28 @t47)) % 33.83/34.02 (define @t49 () (forall @t14 @t48)) % 33.83/34.02 (define @t50 () (tptp.r2_hidden @t31 @t1)) % 33.83/34.02 (define @t51 () (= @t50 (= @t31 @t2))) % 33.83/34.02 (define @t52 () (forall @t43 @t51)) % 33.83/34.02 (define @t53 () (tptp.k1_tarski @t2)) % 33.83/34.02 (define @t54 () (= @t1 @t53)) % 33.83/34.02 (define @t55 () (= @t54 @t52)) % 33.83/34.02 (define @t56 () (forall @t18 @t55)) % 33.83/34.02 (define @t57 () (tptp.k22_filter_2 @t2 @t1 @t31)) % 33.83/34.02 (define @t58 () (and (not (tptp.v1_xboole_0 @t57)) (tptp.m2_lattice4 @t57 @t2))) % 33.83/34.02 (define @t59 () (tptp.m1_subset_1 @t31 @t3)) % 33.83/34.02 (define @t60 () (and @t11 @t9 @t8 @t5 @t59)) % 33.83/34.02 (define @t61 () (@list @t2 @t1 @t31)) % 33.83/34.02 (define @t62 () (forall @t61 (=> @t60 @t58))) % 33.83/34.02 (define @t63 () (tptp.k6_domain_1 @t2 @t1)) % 33.83/34.02 (define @t64 () (tptp.m1_subset_1 @t63 @t40)) % 33.83/34.02 (define @t65 () (tptp.m1_subset_1 @t1 @t2)) % 33.83/34.02 (define @t66 () (and @t28 @t65)) % 33.83/34.02 (define @t67 () (forall @t18 (=> @t66 @t64))) % 33.83/34.02 (define @t68 () (tptp.l1_struct_0 @t2)) % 33.83/34.02 (define @t69 () (tptp.l1_lattices @t2)) % 33.83/34.02 (define @t70 () (forall @t14 (=> @t69 @t68))) % 33.83/34.02 (define @t71 () (tptp.l2_lattices @t2)) % 33.83/34.02 (define @t72 () (and @t69 @t71)) % 33.83/34.02 (define @t73 () (forall @t14 (=> @t8 @t72))) % 33.83/34.02 (define @t74 () (tptp.k1_zfmisc_1 @t3)) % 33.83/34.02 (define @t75 () (tptp.m1_subset_1 @t1 @t74)) % 33.83/34.02 (define @t76 () (tptp.m2_lattice4 @t1 @t2)) % 33.83/34.02 (define @t77 () (forall @t6 (=> @t76 @t75))) % 33.83/34.02 (define @t78 () (=> @t12 @t77)) % 33.83/34.02 (define @t79 () (forall @t14 @t78)) % 33.83/34.02 (define @t80 () (not (tptp.v1_xboole_0 @t3))) % 33.83/34.02 (define @t81 () (and @t11 @t68)) % 33.83/34.02 (define @t82 () (forall @t14 (=> @t81 @t80))) % 33.83/34.02 (define @t83 () (not (tptp.v1_xboole_0 @t53))) % 33.83/34.02 (define @t84 () (tptp.v1_xboole_0 @t1)) % 33.83/34.02 (define @t85 () (not @t84)) % 33.83/34.02 (define @t86 () (= @t63 (tptp.k1_tarski @t1))) % 33.83/34.02 (define @t87 () (forall @t18 (=> @t66 @t86))) % 33.83/34.02 (define @t88 () (= @t1 @t31)) % 33.83/34.02 (define @t89 () (and @t28 @t45 @t41)) % 33.83/34.02 (define @t90 () (tptp.r1_lattices @t2 @t1 @t31)) % 33.83/34.02 (define @t91 () (tptp.r3_lattices @t2 @t1 @t31)) % 33.83/34.02 (define @t92 () (= @t91 @t90)) % 33.83/34.02 (define @t93 () (and @t11 @t22 @t21 @t20 @t8 @t5 @t59)) % 33.83/34.02 (define @t94 () (forall @t61 (=> @t93 @t92))) % 33.83/34.02 (define @t95 () (tptp.r3_lattices @t2 @t1 @t1)) % 33.83/34.02 (define @t96 () (forall @t61 (=> @t93 @t95))) % 33.83/34.02 (define @t97 () (tptp.m1_subset_1 @t2 @t1)) % 33.83/34.02 (define @t98 () (tptp.r1_lattices @t2 @t31 @t1)) % 33.83/34.02 (define @t99 () (and @t90 @t98)) % 33.83/34.02 (define @t100 () (=> @t99 @t88)) % 33.83/34.02 (define @t101 () (forall @t43 (=> @t59 @t100))) % 33.83/34.02 (define @t102 () (=> @t5 @t101)) % 33.83/34.02 (define @t103 () (forall @t6 @t102)) % 33.83/34.02 (define @t104 () (and @t11 @t23 @t71)) % 33.83/34.02 (define @t105 () (=> @t104 @t103)) % 33.83/34.02 (define @t106 () (forall @t14 @t105)) % 33.83/34.02 (define @t107 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t31))) % 33.83/34.02 (define @t108 () (= (tptp.r2_hidden @t32 @t57) (and (tptp.r3_lattices @t2 @t1 @t32) (tptp.r3_lattices @t2 @t32 @t31)))) % 33.83/34.02 (define @t109 () (=> @t91 @t108)) % 33.83/34.02 (define @t110 () (tptp.m1_subset_1 @t32 @t3)) % 33.83/34.02 (define @t111 () (forall @t36 (=> @t110 @t109))) % 33.83/34.02 (define @t112 () (=> @t59 @t111)) % 33.83/34.02 (define @t113 () (forall @t43 @t112)) % 33.83/34.02 (define @t114 () (=> @t5 @t113)) % 33.83/34.02 (define @t115 () (forall @t6 @t114)) % 33.83/34.02 (define @t116 () (=> @t12 @t115)) % 33.83/34.02 (define @t117 () (forall @t14 @t116)) % 33.83/34.02 (define @t118 () (@var "BOUND_VARIABLE_8120" $$unsorted)) % 33.83/34.02 (define @t119 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 33.83/34.02 (define @t120 () (@var "BOUND_VARIABLE_8118" $$unsorted)) % 33.83/34.02 (define @t121 () (= (tptp.r2_hidden @t119 (tptp.k22_filter_2 @t2 @t120 @t118)) (and (tptp.r3_lattices @t2 @t120 @t119) (tptp.r3_lattices @t2 @t119 @t118)))) % 33.83/34.02 (define @t122 () (not (tptp.m1_subset_1 @t119 @t3))) % 33.83/34.02 (define @t123 () (not (tptp.r3_lattices @t2 @t120 @t118))) % 33.83/34.02 (define @t124 () (not (tptp.m1_subset_1 @t118 @t3))) % 33.83/34.02 (define @t125 () (not (tptp.m1_subset_1 @t120 @t3))) % 33.83/34.02 (define @t126 () (not @t8)) % 33.83/34.02 (define @t127 () (not @t9)) % 33.83/34.02 (define @t128 () (or @t10 @t127 @t126 @t125 @t124 @t123 @t122 @t121)) % 33.83/34.02 (define @t129 () (or @t125 @t124 @t123 @t122 @t121)) % 33.83/34.02 (define @t130 () (or @t10 @t127 @t126 @t129)) % 33.83/34.02 (define @t131 () (@list @t2 @t120 @t118 @t119)) % 33.83/34.02 (define @t132 () (forall @t131 @t130)) % 33.83/34.02 (define @t133 () (@list @t120 @t118 @t119)) % 33.83/34.02 (define @t134 () (forall @t133 @t130)) % 33.83/34.02 (define @t135 () (forall @t133 @t129)) % 33.83/34.02 (define @t136 () (@var "BOUND_VARIABLE_8094" $$unsorted)) % 33.83/34.02 (define @t137 () (@var "BOUND_VARIABLE_8092" $$unsorted)) % 33.83/34.02 (define @t138 () (or @t10 @t127 @t126 @t135)) % 33.83/34.02 (define @t139 () (= (tptp.r2_hidden @t136 (tptp.k22_filter_2 @t2 @t1 @t137)) (and (tptp.r3_lattices @t2 @t1 @t136) (tptp.r3_lattices @t2 @t136 @t137)))) % 33.83/34.02 (define @t140 () (not (tptp.m1_subset_1 @t136 @t3))) % 33.83/34.02 (define @t141 () (not (tptp.r3_lattices @t2 @t1 @t137))) % 33.83/34.02 (define @t142 () (not (tptp.m1_subset_1 @t137 @t3))) % 33.83/34.02 (define @t143 () (not @t5)) % 33.83/34.02 (define @t144 () (or @t143 @t142 @t141 @t140 @t139)) % 33.83/34.02 (define @t145 () (@list @t1 @t137 @t136)) % 33.83/34.02 (define @t146 () (forall @t145 @t144)) % 33.83/34.02 (define @t147 () (or @t10 @t127 @t126 @t146)) % 33.83/34.02 (define @t148 () (or @t10 @t127 @t126)) % 33.83/34.02 (define @t149 () (not @t11)) % 33.83/34.02 (define @t150 () (or @t149 @t127 @t126)) % 33.83/34.02 (define @t151 () (not @t12)) % 33.83/34.02 (define @t152 () (or @t142 @t141 @t140 @t139)) % 33.83/34.02 (define @t153 () (or @t143 @t152)) % 33.83/34.02 (define @t154 () (forall @t145 @t153)) % 33.83/34.02 (define @t155 () (@list @t137 @t136)) % 33.83/34.02 (define @t156 () (forall @t155 @t153)) % 33.83/34.02 (define @t157 () (forall @t155 @t152)) % 33.83/34.02 (define @t158 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 33.83/34.02 (define @t159 () (or @t143 @t157)) % 33.83/34.02 (define @t160 () (= (tptp.r2_hidden @t158 @t57) (and (tptp.r3_lattices @t2 @t1 @t158) (tptp.r3_lattices @t2 @t158 @t31)))) % 33.83/34.02 (define @t161 () (not (tptp.m1_subset_1 @t158 @t3))) % 33.83/34.02 (define @t162 () (not @t91)) % 33.83/34.02 (define @t163 () (not @t59)) % 33.83/34.02 (define @t164 () (or @t163 @t162 @t161 @t160)) % 33.83/34.02 (define @t165 () (@list @t31 @t158)) % 33.83/34.02 (define @t166 () (forall @t165 @t164)) % 33.83/34.02 (define @t167 () (or @t161 @t160)) % 33.83/34.02 (define @t168 () (or @t163 @t162 @t167)) % 33.83/34.02 (define @t169 () (forall @t165 @t168)) % 33.83/34.02 (define @t170 () (@list @t158)) % 33.83/34.02 (define @t171 () (forall @t170 @t168)) % 33.83/34.02 (define @t172 () (forall @t170 @t167)) % 33.83/34.02 (define @t173 () (or @t163 @t162 @t172)) % 33.83/34.02 (define @t174 () (not @t110)) % 33.83/34.02 (define @t175 () (or @t174 @t108)) % 33.83/34.02 (define @t176 () (forall @t36 @t175)) % 33.83/34.02 (define @t177 () (or @t163 @t162 @t176)) % 33.83/34.02 (define @t178 () (or @t162 @t176)) % 33.83/34.02 (define @t179 () (or @t162 @t175)) % 33.83/34.02 (define @t180 () (or @t174 @t162 @t108)) % 33.83/34.02 (define @t181 () (@var "BOUND_VARIABLE_7697" $$unsorted)) % 33.83/34.02 (define @t182 () (tptp.r1_filter_2 @t3 (tptp.k22_filter_2 @t2 @t181 @t181) (tptp.k6_domain_1 @t3 @t181))) % 33.83/34.02 (define @t183 () (not (tptp.m1_subset_1 @t181 @t3))) % 33.83/34.02 (define @t184 () (or @t10 @t127 @t126 @t183 @t182)) % 33.83/34.02 (define @t185 () (@list @t2 @t181)) % 33.83/34.02 (define @t186 () (forall @t185 @t184)) % 33.83/34.02 (define @t187 () (@quantifiers_skolemize @t186 1)) % 33.83/34.02 (define @t188 () (@quantifiers_skolemize @t186 0)) % 33.83/34.02 (define @t189 () (tptp.k22_filter_2 @t188 @t187 @t187)) % 33.83/34.02 (define @t190 () (tptp.r2_hidden @t187 @t189)) % 33.83/34.02 (define @t191 () (tptp.r3_lattices @t188 @t187 @t187)) % 33.83/34.02 (define @t192 () (and @t191 @t191)) % 33.83/34.02 (define @t193 () (= @t190 @t192)) % 33.83/34.02 (define @t194 () (tptp.u1_struct_0 @t188)) % 33.83/34.02 (define @t195 () (tptp.m1_subset_1 @t187 @t194)) % 33.83/34.02 (define @t196 () (not @t195)) % 33.83/34.02 (define @t197 () (not @t191)) % 33.83/34.02 (define @t198 () (tptp.l3_lattices @t188)) % 33.83/34.02 (define @t199 () (not @t198)) % 33.83/34.02 (define @t200 () (tptp.v10_lattices @t188)) % 33.83/34.02 (define @t201 () (not @t200)) % 33.83/34.02 (define @t202 () (tptp.v3_struct_0 @t188)) % 33.83/34.02 (define @t203 () (or @t202 @t201 @t199 @t196 @t196 @t197 @t196 @t193)) % 33.83/34.02 (define @t204 () (forall @t131 @t128)) % 33.83/34.02 (define @t205 () (= @t191 @t190)) % 33.83/34.02 (define @t206 () (or @t202 @t201 @t199 @t196 @t196 @t197 @t196 @t205)) % 33.83/34.02 (define @t207 () (@list false)) % 33.83/34.02 (define @t208 () (not @t20)) % 33.83/34.02 (define @t209 () (not @t21)) % 33.83/34.02 (define @t210 () (not @t22)) % 33.83/34.02 (define @t211 () (or @t10 @t210 @t209 @t208 @t126 @t143 @t163)) % 33.83/34.02 (define @t212 () (or @t149 @t210 @t209 @t208 @t126 @t143 @t163)) % 33.83/34.02 (define @t213 () (or @t126 (or @t143 @t163))) % 33.83/34.02 (define @t214 () (not (and @t8 @t5 @t59))) % 33.83/34.02 (define @t215 () (not @t93)) % 33.83/34.02 (define @t216 () (@list @t188 @t187 @t187)) % 33.83/34.02 (define @t217 () (or @t10 @t127 @t24)) % 33.83/34.02 (define @t218 () (@list @t188)) % 33.83/34.02 (define @t219 () (or @t183 @t182)) % 33.83/34.02 (define @t220 () (or @t10 @t127 @t126 @t219)) % 33.83/34.02 (define @t221 () (forall @t185 @t220)) % 33.83/34.02 (define @t222 () (@list @t181)) % 33.83/34.02 (define @t223 () (forall @t222 @t220)) % 33.83/34.02 (define @t224 () (forall @t222 @t219)) % 33.83/34.02 (define @t225 () (@list @t1)) % 33.83/34.02 (define @t226 () (or @t10 @t127 @t126 @t224)) % 33.83/34.02 (define @t227 () (forall @t6 (or @t143 @t4))) % 33.83/34.02 (define @t228 () (or @t10 @t127 @t126 @t227)) % 33.83/34.02 (define @t229 () (tptp.k6_domain_1 @t194 @t187)) % 33.83/34.02 (define @t230 () (tptp.r1_filter_2 @t194 @t189 @t229)) % 33.83/34.02 (define @t231 () (or @t202 @t201 @t199 @t196 @t230)) % 33.83/34.02 (define @t232 () (@list true)) % 33.83/34.02 (define @t233 () (@list @t231)) % 33.83/34.02 (define @t234 () (not @t202)) % 33.83/34.02 (define @t235 () (tptp.v9_lattices @t188)) % 33.83/34.02 (define @t236 () (tptp.v8_lattices @t188)) % 33.83/34.02 (define @t237 () (tptp.v6_lattices @t188)) % 33.83/34.02 (define @t238 () (tptp.v4_lattices @t188)) % 33.83/34.02 (define @t239 () (and @t234 @t238 (tptp.v5_lattices @t188) @t237 (tptp.v7_lattices @t188) @t236 @t235)) % 33.83/34.02 (define @t240 () (or @t199 @t202 @t201 @t239)) % 33.83/34.02 (define @t241 () (@list true false false false)) % 33.83/34.02 (define @t242 () (not @t239)) % 33.83/34.02 (define @t243 () (@list @t239)) % 33.83/34.02 (define @t244 () (not @t235)) % 33.83/34.02 (define @t245 () (not @t236)) % 33.83/34.02 (define @t246 () (not @t237)) % 33.83/34.02 (define @t247 () (or @t202 @t246 @t245 @t244 @t199 @t196 @t196 @t191)) % 33.83/34.02 (define @t248 () (@list true false false false false false false)) % 33.83/34.02 (define @t249 () (@list false false)) % 33.83/34.02 (define @t250 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 33.83/34.02 (define @t251 () (@var "BOUND_VARIABLE_7774" $$unsorted)) % 33.83/34.02 (define @t252 () (not @t35)) % 33.83/34.02 (define @t253 () (= (tptp.r1_filter_2 @t2 @t251 @t250) (forall @t36 (or @t252 (= (tptp.r2_hidden @t32 @t251) (tptp.r2_hidden @t32 @t250)))))) % 33.83/34.02 (define @t254 () (not (tptp.m1_subset_1 @t250 @t40))) % 33.83/34.02 (define @t255 () (not (tptp.m1_subset_1 @t251 @t40))) % 33.83/34.02 (define @t256 () (or @t255 @t254 @t253)) % 33.83/34.02 (define @t257 () (or @t19 @t256)) % 33.83/34.02 (define @t258 () (forall (@list @t2 @t251 @t250) @t257)) % 33.83/34.02 (define @t259 () (@list @t251 @t250)) % 33.83/34.02 (define @t260 () (forall @t259 @t257)) % 33.83/34.02 (define @t261 () (forall @t259 @t256)) % 33.83/34.02 (define @t262 () (@var "BOUND_VARIABLE_7754" $$unsorted)) % 33.83/34.02 (define @t263 () (or @t19 @t261)) % 33.83/34.02 (define @t264 () (= (tptp.r1_filter_2 @t2 @t1 @t262) (forall @t36 (or @t252 (= @t33 (tptp.r2_hidden @t32 @t262)))))) % 33.83/34.02 (define @t265 () (not (tptp.m1_subset_1 @t262 @t40))) % 33.83/34.02 (define @t266 () (not @t45)) % 33.83/34.02 (define @t267 () (or @t266 @t265 @t264)) % 33.83/34.02 (define @t268 () (@list @t1 @t262)) % 33.83/34.02 (define @t269 () (forall @t268 @t267)) % 33.83/34.02 (define @t270 () (not @t28)) % 33.83/34.02 (define @t271 () (or @t265 @t264)) % 33.83/34.02 (define @t272 () (or @t266 @t271)) % 33.83/34.02 (define @t273 () (forall @t268 @t272)) % 33.83/34.02 (define @t274 () (@list @t262)) % 33.83/34.02 (define @t275 () (forall @t274 @t272)) % 33.83/34.02 (define @t276 () (forall @t274 @t271)) % 33.83/34.02 (define @t277 () (@list @t31)) % 33.83/34.02 (define @t278 () (or @t266 @t276)) % 33.83/34.02 (define @t279 () (= @t38 (forall @t36 (or @t252 @t34)))) % 33.83/34.02 (define @t280 () (forall @t43 (or (not @t41) @t279))) % 33.83/34.02 (define @t281 () (not @t65)) % 33.83/34.02 (define @t282 () (or @t19 @t281)) % 33.83/34.02 (define @t283 () (not @t66)) % 33.83/34.02 (define @t284 () (@list @t194 @t187)) % 33.83/34.02 (define @t285 () (not @t68)) % 33.83/34.02 (define @t286 () (tptp.l2_lattices @t188)) % 33.83/34.02 (define @t287 () (tptp.l1_lattices @t188)) % 33.83/34.02 (define @t288 () (and @t287 @t286)) % 33.83/34.02 (define @t289 () (or @t199 @t288)) % 33.83/34.02 (define @t290 () (not @t288)) % 33.83/34.02 (define @t291 () (@list @t288)) % 33.83/34.02 (define @t292 () (tptp.l1_struct_0 @t188)) % 33.83/34.02 (define @t293 () (not @t287)) % 33.83/34.02 (define @t294 () (or @t293 @t292)) % 33.83/34.02 (define @t295 () (tptp.v1_xboole_0 @t194)) % 33.83/34.02 (define @t296 () (not @t295)) % 33.83/34.02 (define @t297 () (not @t292)) % 33.83/34.02 (define @t298 () (or @t202 @t297 @t296)) % 33.83/34.02 (define @t299 () (tptp.k1_zfmisc_1 @t194)) % 33.83/34.02 (define @t300 () (tptp.m1_subset_1 @t229 @t299)) % 33.83/34.02 (define @t301 () (or @t295 @t196 @t300)) % 33.83/34.02 (define @t302 () (@list false true false)) % 33.83/34.02 (define @t303 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 33.83/34.02 (define @t304 () (tptp.m1_subset_1 @t303 @t74)) % 33.83/34.02 (define @t305 () (not (tptp.m2_lattice4 @t303 @t2))) % 33.83/34.02 (define @t306 () (or @t305 @t304)) % 33.83/34.02 (define @t307 () (or @t10 @t127 @t126 @t306)) % 33.83/34.02 (define @t308 () (forall (@list @t2 @t303) @t307)) % 33.83/34.02 (define @t309 () (@list @t303)) % 33.83/34.02 (define @t310 () (forall @t309 @t307)) % 33.83/34.02 (define @t311 () (forall @t309 @t306)) % 33.83/34.02 (define @t312 () (or @t10 @t127 @t126 @t311)) % 33.83/34.02 (define @t313 () (forall @t6 (or (not @t76) @t75))) % 33.83/34.02 (define @t314 () (or @t10 @t127 @t126 @t313)) % 33.83/34.02 (define @t315 () (or @t149 @t127 @t126 @t143 @t163)) % 33.83/34.02 (define @t316 () (tptp.m2_lattice4 @t189 @t188)) % 33.83/34.02 (define @t317 () (and (not (tptp.v1_xboole_0 @t189)) @t316)) % 33.83/34.02 (define @t318 () (or @t202 @t201 @t199 @t196 @t196 @t317)) % 33.83/34.02 (define @t319 () (@list true false false false false)) % 33.83/34.02 (define @t320 () (tptp.m1_subset_1 @t189 @t299)) % 33.83/34.02 (define @t321 () (not @t316)) % 33.83/34.02 (define @t322 () (or @t202 @t201 @t199 @t321 @t320)) % 33.83/34.02 (define @t323 () (forall @t36 (or (not (tptp.m1_subset_1 @t32 @t194)) (= (tptp.r2_hidden @t32 @t189) (tptp.r2_hidden @t32 @t229))))) % 33.83/34.02 (define @t324 () (= @t230 @t323)) % 33.83/34.02 (define @t325 () (not @t300)) % 33.83/34.02 (define @t326 () (not @t320)) % 33.83/34.02 (define @t327 () (or @t295 @t326 @t325 @t324)) % 33.83/34.02 (define @t328 () (not @t323)) % 33.83/34.02 (define @t329 () (@quantifiers_skolemize @t323 0)) % 33.83/34.02 (define @t330 () (tptp.r2_hidden @t329 @t229)) % 33.83/34.02 (define @t331 () (tptp.r2_hidden @t329 @t189)) % 33.83/34.02 (define @t332 () (= @t331 @t330)) % 33.83/34.02 (define @t333 () (tptp.m1_subset_1 @t329 @t194)) % 33.83/34.02 (define @t334 () (not @t333)) % 33.83/34.02 (define @t335 () (or @t334 @t332)) % 33.83/34.02 (define @t336 () (@list @t335)) % 33.83/34.02 (define @t337 () (tptp.r3_lattices @t188 @t329 @t187)) % 33.83/34.02 (define @t338 () (tptp.r3_lattices @t188 @t187 @t329)) % 33.83/34.02 (define @t339 () (and @t338 @t337)) % 33.83/34.02 (define @t340 () (= @t331 @t339)) % 33.83/34.02 (define @t341 () (or @t202 @t201 @t199 @t196 @t196 @t197 @t334 @t340)) % 33.83/34.02 (define @t342 () (not @t331)) % 33.83/34.02 (define @t343 () (not @t339)) % 33.83/34.02 (define @t344 () (@list @t188 @t187 @t329)) % 33.83/34.02 (define @t345 () (tptp.r1_lattices @t188 @t187 @t329)) % 33.83/34.02 (define @t346 () (= @t338 @t345)) % 33.83/34.02 (define @t347 () (or @t202 @t246 @t245 @t244 @t199 @t196 @t334 @t346)) % 33.83/34.02 (define @t348 () (@list true false false false false false false false)) % 33.83/34.02 (define @t349 () (tptp.r1_lattices @t188 @t329 @t187)) % 33.83/34.02 (define @t350 () (= @t337 @t349)) % 33.83/34.02 (define @t351 () (or @t202 @t246 @t245 @t244 @t199 @t334 @t196 @t350)) % 33.83/34.02 (define @t352 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 33.83/34.02 (define @t353 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 33.83/34.02 (define @t354 () (= @t353 @t352)) % 33.83/34.02 (define @t355 () (not (tptp.r1_lattices @t2 @t352 @t353))) % 33.83/34.02 (define @t356 () (not (tptp.r1_lattices @t2 @t353 @t352))) % 33.83/34.02 (define @t357 () (not (tptp.m1_subset_1 @t352 @t3))) % 33.83/34.02 (define @t358 () (not (tptp.m1_subset_1 @t353 @t3))) % 33.83/34.02 (define @t359 () (not @t71)) % 33.83/34.02 (define @t360 () (not @t23)) % 33.83/34.02 (define @t361 () (or @t358 @t357 @t356 @t355 @t354)) % 33.83/34.02 (define @t362 () (or @t10 @t360 @t359 @t361)) % 33.83/34.02 (define @t363 () (forall (@list @t2 @t353 @t352) @t362)) % 33.83/34.02 (define @t364 () (@list @t353 @t352)) % 33.83/34.02 (define @t365 () (forall @t364 @t362)) % 33.83/34.02 (define @t366 () (forall @t364 @t361)) % 33.83/34.02 (define @t367 () (@var "BOUND_VARIABLE_8006" $$unsorted)) % 33.83/34.02 (define @t368 () (or @t10 @t360 @t359 @t366)) % 33.83/34.02 (define @t369 () (= @t1 @t367)) % 33.83/34.02 (define @t370 () (not (tptp.r1_lattices @t2 @t367 @t1))) % 33.83/34.02 (define @t371 () (not (tptp.r1_lattices @t2 @t1 @t367))) % 33.83/34.02 (define @t372 () (not (tptp.m1_subset_1 @t367 @t3))) % 33.83/34.02 (define @t373 () (or @t143 @t372 @t371 @t370 @t369)) % 33.83/34.02 (define @t374 () (@list @t1 @t367)) % 33.83/34.02 (define @t375 () (forall @t374 @t373)) % 33.83/34.02 (define @t376 () (or @t10 @t360 @t359 @t375)) % 33.83/34.02 (define @t377 () (or @t149 @t360 @t359)) % 33.83/34.02 (define @t378 () (or @t372 @t371 @t370 @t369)) % 33.83/34.02 (define @t379 () (or @t143 @t378)) % 33.83/34.02 (define @t380 () (forall @t374 @t379)) % 33.83/34.02 (define @t381 () (@list @t367)) % 33.83/34.02 (define @t382 () (forall @t381 @t379)) % 33.83/34.02 (define @t383 () (forall @t381 @t378)) % 33.83/34.02 (define @t384 () (or @t143 @t383)) % 33.83/34.02 (define @t385 () (not @t98)) % 33.83/34.02 (define @t386 () (not @t90)) % 33.83/34.02 (define @t387 () (or @t163 @t386 @t385 @t88)) % 33.83/34.02 (define @t388 () (forall @t43 @t387)) % 33.83/34.02 (define @t389 () (or @t386 @t385 @t88)) % 33.83/34.02 (define @t390 () (= @t187 @t329)) % 33.83/34.02 (define @t391 () (not @t349)) % 33.83/34.02 (define @t392 () (not @t345)) % 33.83/34.02 (define @t393 () (not @t286)) % 33.83/34.02 (define @t394 () (not @t238)) % 33.83/34.02 (define @t395 () (or @t202 @t394 @t393 @t196 @t334 @t392 @t391 @t390)) % 33.83/34.02 (define @t396 () (tptp.k1_tarski @t187)) % 33.83/34.02 (define @t397 () (= @t229 @t396)) % 33.83/34.02 (define @t398 () (or @t295 @t196 @t397)) % 33.83/34.02 (define @t399 () (tptp.r2_hidden @t31 @t396)) % 33.83/34.02 (define @t400 () (forall @t43 (= @t399 (= @t31 @t187)))) % 33.83/34.02 (define @t401 () (= @t399 (= @t187 @t31))) % 33.83/34.02 (define @t402 () (forall @t43 @t401)) % 33.83/34.02 (define @t403 () (= (= @t396 @t396) @t402)) % 33.83/34.02 (define @t404 () (forall @t18 (= @t54 (forall @t43 (= @t50 (= @t2 @t31)))))) % 33.83/34.02 (define @t405 () (tptp.r2_hidden @t187 @t396)) % 33.83/34.02 (define @t406 () (= @t405 (= @t187 @t187))) % 33.83/34.02 (define @t407 () (@list @t400)) % 33.83/34.02 (define @t408 () (not @t405)) % 33.83/34.02 (define @t409 () (not @t390)) % 33.83/34.02 (define @t410 () (not @t397)) % 33.83/34.02 (define @t411 () (not @t330)) % 33.83/34.02 (define @t412 () (= true false)) % 33.83/34.02 (define @t413 () (and @t411 @t390 @t397 @t405)) % 33.83/34.02 (define @t414 () (tptp.r2_hidden @t329 @t396)) % 33.83/34.02 (define @t415 () (= @t329 @t187)) % 33.83/34.02 (define @t416 () (= @t414 @t415)) % 33.83/34.02 (define @t417 () (= @t390 @t414)) % 33.83/34.02 (define @t418 () (and @t397 @t330)) % 33.83/34.02 (define @t419 () (not @t190)) % 33.83/34.02 (define @t420 () (and @t342 @t390 @t190)) % 33.83/34.02 (assume @p1 @t16) % 33.83/34.02 (assume @p2 (forall @t18 (=> @t17 (not (tptp.r2_hidden @t1 @t2))))) % 33.83/34.02 (assume @p3 (forall @t14 (=> @t19 (tptp.v1_funct_1 @t2)))) % 33.83/34.02 (assume @p4 @t27) % 33.83/34.02 (assume @p5 (forall @t14 (=> @t30 @t28))) % 33.83/34.02 (assume @p6 (forall @t14 (=> @t8 (=> @t24 @t25)))) % 33.83/34.02 (assume @p7 @t49) % 33.83/34.02 (assume @p8 @t56) % 33.83/34.02 (assume @p9 true) % 33.83/34.02 (assume @p10 @t62) % 33.83/34.02 (assume @p11 @t67) % 33.83/34.02 (assume @p12 @t70) % 33.83/34.02 (assume @p13 (forall @t14 (=> @t71 @t68))) % 33.83/34.02 (assume @p14 @t73) % 33.83/34.02 (assume @p15 @t79) % 33.83/34.02 (assume @p16 (exists @t14 @t69)) % 33.83/34.02 (assume @p17 (exists @t14 @t68)) % 33.83/34.02 (assume @p18 (exists @t14 @t71)) % 33.83/34.02 (assume @p19 (exists @t14 @t8)) % 33.83/34.02 (assume @p20 (forall @t14 (exists @t6 @t65))) % 33.83/34.02 (assume @p21 (forall @t14 (=> @t12 (exists @t6 @t76)))) % 33.83/34.02 (assume @p22 @t82) % 33.83/34.02 (assume @p23 (forall @t14 (not (tptp.v1_xboole_0 @t40)))) % 33.83/34.02 (assume @p24 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 33.83/34.02 (assume @p25 (forall @t14 @t83)) % 33.83/34.02 (assume @p26 (forall @t14 (and @t83 (tptp.v1_finset_1 @t53) (tptp.v1_realset1 @t53)))) % 33.83/34.02 (assume @p27 (forall @t14 (=> @t12 (exists @t6 (and @t76 @t85))))) % 33.83/34.02 (assume @p28 (exists @t14 (and @t28 @t29))) % 33.83/34.02 (assume @p29 (forall @t14 (=> @t28 (exists @t6 (and @t45 @t85))))) % 33.83/34.02 (assume @p30 (exists @t14 @t19)) % 33.83/34.02 (assume @p31 (exists @t14 (and @t28 @t30))) % 33.83/34.02 (assume @p32 (forall @t14 (exists @t6 (and @t45 @t84)))) % 33.83/34.02 (assume @p33 (exists @t14 @t28)) % 33.83/34.02 (assume @p34 (exists @t14 (and @t68 @t11))) % 33.83/34.02 (assume @p35 (forall @t14 (=> @t81 (exists @t6 (and @t75 @t85))))) % 33.83/34.02 (assume @p36 @t87) % 33.83/34.02 (assume @p37 (forall @t61 (=> @t89 (= @t38 @t88)))) % 33.83/34.02 (assume @p38 @t94) % 33.83/34.02 (assume @p39 (forall @t61 (=> @t89 (tptp.r1_filter_2 @t2 @t1 @t1)))) % 33.83/34.02 (assume @p40 (forall @t18 (tptp.r1_tarski @t2 @t2))) % 33.83/34.02 (assume @p41 @t96) % 33.83/34.02 (assume @p42 (forall @t61 (=> @t89 (=> @t38 (tptp.r1_filter_2 @t2 @t31 @t1))))) % 33.83/34.02 (assume @p43 (forall @t18 (=> @t17 @t97))) % 33.83/34.02 (assume @p44 @t106) % 33.83/34.02 (assume @p45 (forall @t18 (=> @t97 (or @t84 @t17)))) % 33.83/34.02 (assume @p46 (forall @t18 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 33.83/34.02 (assume @p47 (forall @t61 (=> (and @t17 @t107) (tptp.m1_subset_1 @t2 @t31)))) % 33.83/34.02 (assume @p48 (forall @t61 (not (and @t17 @t107 (tptp.v1_xboole_0 @t31))))) % 33.83/34.02 (assume @p49 @t117) % 33.83/34.02 (assume @p50 (forall @t14 (=> @t19 (= @t2 tptp.k1_xboole_0)))) % 33.83/34.02 (assume @p51 (forall @t18 (not (and @t17 @t84)))) % 33.83/34.02 (assume @p52 (forall @t18 (not (and @t19 (not (= @t2 @t1)) @t84)))) % 33.83/34.02 (step @p53 :rule aci_norm :args ((= @t130 @t128))) % 33.83/34.02 (step @p54 :rule cong :premises (@p53) :args (@t132)) % 33.83/34.02 (step @p55 :rule quant-merge-prenex :args ((= (forall @t14 @t134) @t132))) % 33.83/34.02 (step @p56 :rule alpha_equiv :args (@t135 (@list @t120 @t118 @t119) (@list @t1 @t137 @t136))) % 33.83/34.02 (step @p57 :rule refl :args (@t126)) % 33.83/34.02 (step 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(step @p73 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 33.83/34.02 (step @p74 :rule refl :args (@t149)) % 33.83/34.02 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t149 (not (and @t9 @t8))))) % 33.83/34.02 (step @p76 :rule bool-and-de-morgan :args (@t11 @t9 (and @t8))) % 33.83/34.02 (step @p77 :rule trans :premises (@p76 @p75)) % 33.83/34.02 (step @p78 :rule trans :premises (@p77 @p72)) % 33.83/34.02 (step @p79 :rule nary_cong :premises (@p78 @p68) :args ((or @t151 @t146))) % 33.83/34.02 (step @p80 :rule trans :premises (@p79 @p67)) % 33.83/34.02 (step @p81 :rule bool-impl-elim :args (@t12 @t146)) % 33.83/34.02 (step @p82 :rule trans :premises (@p81 @p80)) % 33.83/34.02 (step @p83 :rule cong :premises (@p82) :args ((forall @t14 (=> @t12 @t146)))) % 33.83/34.02 (step @p84 :rule trans :premises (@p83 @p66)) % 33.83/34.02 (step @p85 :rule aci_norm :args ((= @t153 @t144))) % 33.83/34.02 (step @p86 :rule cong :premises (@p85) :args (@t154)) % 33.83/34.02 (step @p87 :rule quant-merge-prenex :args ((= (forall @t6 @t156) @t154))) % 33.83/34.02 (step @p88 :rule alpha_equiv :args (@t157 (@list @t137 @t136) (@list @t31 @t158))) % 33.83/34.02 (step @p89 :rule refl :args (@t143)) % 33.83/34.02 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t159)) % 33.83/34.02 (step @p91 :rule quant-miniscope-or :args ((= @t156 @t159))) % 33.83/34.02 (step @p92 :rule trans :premises (@p91 @p90)) % 33.83/34.02 (step @p93 :rule symm :premises (@p92)) % 33.83/34.02 (step @p94 :rule cong :premises (@p93) :args ((forall @t6 (or @t143 @t166)))) % 33.83/34.02 (step @p95 :rule trans :premises (@p94 @p87)) % 33.83/34.02 (step @p96 :rule trans :premises (@p95 @p86)) % 33.83/34.02 (step @p97 :rule bool-impl-elim :args (@t5 @t166)) % 33.83/34.02 (step @p98 :rule cong :premises (@p97) :args ((forall @t6 (=> @t5 @t166)))) % 33.83/34.02 (step @p99 :rule trans :premises (@p98 @p96)) % 33.83/34.02 (step @p100 :rule aci_norm :args ((= @t168 @t164))) % 33.83/34.02 (step @p101 :rule 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@p129 :rule cong :premises (@p128) :args (@t111)) % 33.83/34.02 (step @p130 :rule trans :premises (@p129 @p121)) % 33.83/34.02 (step @p131 :rule refl :args (@t59)) % 33.83/34.02 (step @p132 :rule cong :premises (@p131 @p130) :args (@t112)) % 33.83/34.02 (step @p133 :rule cong :premises (@p132) :args (@t113)) % 33.83/34.02 (step @p134 :rule trans :premises (@p133 @p117)) % 33.83/34.02 (step @p135 :rule refl :args (@t5)) % 33.83/34.02 (step @p136 :rule cong :premises (@p135 @p134) :args (@t114)) % 33.83/34.02 (step @p137 :rule cong :premises (@p136) :args (@t115)) % 33.83/34.02 (step @p138 :rule trans :premises (@p137 @p99)) % 33.83/34.02 (step @p139 :rule refl :args (@t12)) % 33.83/34.02 (step @p140 :rule cong :premises (@p139 @p138) :args (@t116)) % 33.83/34.02 (step @p141 :rule cong :premises (@p140) :args (@t117)) % 33.83/34.02 (step @p142 :rule trans :premises (@p141 @p84)) % 33.83/34.02 (step @p143 :rule eq_resolve :premises (@p49 @p142)) % 33.83/34.02 (step @p144 :rule eq-symm 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33.83/34.02 (step @p159 :rule process_scope :premises (@p726) :args (@t203)) % 33.83/34.02 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 33.83/34.02 (step @p162 :rule implies_elim :premises (@p161)) % 33.83/34.02 (step @p163 :rule chain_m_resolution :premises (@p162 @p143) :args (@t206 @t207 (@list @t204))) % 33.83/34.02 (step @p164 :rule aci_norm :args ((= (or @t211 @t95) (or @t10 @t210 @t209 @t208 @t126 @t143 @t163 @t95)))) % 33.83/34.02 (step @p165 :rule refl :args (@t95)) % 33.83/34.02 (step @p166 :rule refl :args (@t208)) % 33.83/34.02 (step @p167 :rule refl :args (@t209)) % 33.83/34.02 (step @p168 :rule refl :args (@t210)) % 33.83/34.02 (step @p169 :rule nary_cong :premises (@p69 @p168 @p167 @p166 @p57 @p89 @p105) :args (@t212)) % 33.83/34.02 (step @p170 :rule aci_norm :args ((= (or @t149 (or @t210 (or @t209 (or @t208 @t213)))) @t212))) % 33.83/34.02 (step @p171 :rule trans :premises (@p170 @p169)) % 33.83/34.02 (step @p172 :rule bool-and-de-morgan :args (@t5 @t59 true)) % 33.83/34.02 (step @p173 :rule nary_cong :premises (@p57 @p172) :args ((or @t126 (not (and @t5 @t59))))) % 33.83/34.02 (step @p174 :rule bool-and-de-morgan :args (@t8 @t5 (and @t59))) % 33.83/34.02 (step @p175 :rule trans :premises (@p174 @p173)) % 33.83/34.02 (step @p176 :rule nary_cong :premises (@p166 @p175) :args ((or @t208 @t214))) % 33.83/34.02 (step @p177 :rule bool-and-de-morgan :args (@t20 @t8 (and @t5 @t59))) % 33.83/34.02 (step @p178 :rule trans :premises (@p177 @p176)) % 33.83/34.02 (step @p179 :rule nary_cong :premises (@p167 @p178) :args ((or @t209 (not (and @t20 @t8 @t5 @t59))))) % 33.83/34.02 (step @p180 :rule bool-and-de-morgan :args (@t21 @t20 (and @t8 @t5 @t59))) % 33.83/34.02 (step @p181 :rule trans :premises (@p180 @p179)) % 33.83/34.02 (step @p182 :rule nary_cong :premises (@p168 @p181) :args ((or @t210 (not (and @t21 @t20 @t8 @t5 @t59))))) % 33.83/34.02 (step @p183 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20 @t8 @t5 @t59))) % 33.83/34.02 (step @p184 :rule trans :premises (@p183 @p182)) % 33.83/34.02 (step @p185 :rule nary_cong :premises (@p74 @p184) :args ((or @t149 (not (and @t22 @t21 @t20 @t8 @t5 @t59))))) % 33.83/34.02 (step @p186 :rule bool-and-de-morgan :args (@t11 @t22 (and @t21 @t20 @t8 @t5 @t59))) % 33.83/34.02 (step @p187 :rule trans :premises (@p186 @p185)) % 33.83/34.02 (step @p188 :rule trans :premises (@p187 @p171)) % 33.83/34.02 (step @p189 :rule nary_cong :premises (@p188 @p165) :args ((or @t215 @t95))) % 33.83/34.02 (step @p190 :rule trans :premises (@p189 @p164)) % 33.83/34.02 (step @p191 :rule bool-impl-elim :args (@t93 @t95)) % 33.83/34.02 (step @p192 :rule trans :premises (@p191 @p190)) % 33.83/34.02 (step @p193 :rule cong :premises (@p192) :args (@t96)) % 33.83/34.02 (step @p194 :rule eq_resolve :premises (@p41 @p193)) % 33.83/34.02 (step @p195 :rule instantiate :premises (@p194) :args (@t216)) % 33.83/34.02 (step @p196 :rule aci_norm :args ((= (or @t126 @t217) (or @t126 @t10 @t127 @t24)))) % 33.83/34.02 (step @p197 :rule aci_norm :args ((= (or (or @t10 @t127) @t24) @t217))) % 33.83/34.02 (step @p198 :rule refl :args (@t24)) % 33.83/34.02 (step @p199 :rule nary_cong :premises (@p69 @p58) :args ((or @t149 @t127))) % 33.83/34.02 (step @p200 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 33.83/34.02 (step @p201 :rule trans :premises (@p200 @p199)) % 33.83/34.02 (step @p202 :rule nary_cong :premises (@p201 @p198) :args ((or (not @t25) @t24))) % 33.83/34.02 (step @p203 :rule trans :premises (@p202 @p197)) % 33.83/34.02 (step @p204 :rule bool-impl-elim :args (@t25 @t24)) % 33.83/34.02 (step @p205 :rule trans :premises (@p204 @p203)) % 33.83/34.02 (step @p206 :rule nary_cong :premises (@p57 @p205) :args ((or @t126 @t26))) % 33.83/34.02 (step @p207 :rule trans :premises (@p206 @p196)) % 33.83/34.02 (step @p208 :rule bool-impl-elim :args (@t8 @t26)) % 33.83/34.02 (step @p209 :rule trans :premises (@p208 @p207)) % 33.83/34.02 (step @p210 :rule cong :premises (@p209) :args (@t27)) % 33.83/34.02 (step @p211 :rule eq_resolve :premises (@p4 @p210)) % 33.83/34.02 (step @p212 :rule instantiate :premises (@p211) :args (@t218)) % 33.83/34.02 (step @p213 :rule aci_norm :args ((= @t220 @t184))) % 33.83/34.02 (step @p214 :rule cong :premises (@p213) :args (@t221)) % 33.83/34.02 (step @p215 :rule quant-merge-prenex :args ((= (forall @t14 @t223) @t221))) % 33.83/34.02 (step @p216 :rule alpha_equiv :args (@t224 (@list @t181) @t225)) % 33.83/34.02 (step @p217 :rule nary_cong :premises (@p59 @p58 @p57 @p216) :args (@t226)) % 33.83/34.02 (step @p218 :rule quant-miniscope-or :args ((= @t223 @t226))) % 33.83/34.02 (step @p219 :rule trans :premises (@p218 @p217)) % 33.83/34.02 (step @p220 :rule symm :premises (@p219)) % 33.83/34.02 (step @p221 :rule cong :premises (@p220) :args ((forall @t14 @t228))) % 33.83/34.02 (step @p222 :rule trans :premises (@p221 @p215)) % 33.83/34.02 (step @p223 :rule trans :premises (@p222 @p214)) % 33.83/34.02 (step @p224 :rule aci_norm :args ((= (or @t148 @t227) @t228))) % 33.83/34.02 (step @p225 :rule refl :args (@t227)) % 33.83/34.02 (step @p226 :rule nary_cong :premises (@p78 @p225) :args ((or @t151 @t227))) % 33.83/34.02 (step @p227 :rule trans :premises (@p226 @p224)) % 33.83/34.02 (step @p228 :rule bool-impl-elim :args (@t12 @t227)) % 33.83/34.02 (step @p229 :rule trans :premises (@p228 @p227)) % 33.83/34.02 (step @p230 :rule cong :premises (@p229) :args ((forall @t14 (=> @t12 @t227)))) % 33.83/34.02 (step @p231 :rule trans :premises (@p230 @p223)) % 33.83/34.02 (step @p232 :rule bool-impl-elim :args (@t5 @t4)) % 33.83/34.02 (step @p233 :rule cong :premises (@p232) :args (@t7)) % 33.83/34.02 (step @p234 :rule cong :premises (@p139 @p233) :args (@t13)) % 33.83/34.02 (step @p235 :rule cong :premises (@p234) :args (@t15)) % 33.83/34.02 (step @p236 :rule trans :premises (@p235 @p231)) % 33.83/34.02 (step @p237 :rule cong :premises (@p236) :args (@t16)) % 33.83/34.02 (step @p238 :rule eq_resolve :premises (@p1 @p237)) % 33.83/34.02 (step @p239 :rule skolemize :premises (@p238)) % 33.83/34.02 (step @p240 :rule bool-double-not-elim :args (@t198)) % 33.83/34.02 (step @p241 :rule refl :args (@t231)) % 33.83/34.02 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t231 (not @t199)))) % 33.83/34.02 (step @p243 :rule cnf_or_neg :args (@t231 2)) % 33.83/34.02 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 33.83/34.02 (step @p245 :rule reordering :premises (@p244) :args ((or @t198 @t231))) % 33.83/34.02 (step @p246 :rule chain_m_resolution :premises (@p245 @p239) :args (@t198 @t232 @t233)) % 33.83/34.02 (step @p247 :rule bool-double-not-elim :args (@t200)) % 33.83/34.02 (step @p248 :rule nary_cong :premises (@p241 @p247) :args ((or @t231 (not @t201)))) % 33.83/34.02 (step @p249 :rule cnf_or_neg :args (@t231 1)) % 33.83/34.02 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 33.83/34.02 (step @p251 :rule reordering :premises (@p250) :args ((or @t200 @t231))) % 33.83/34.02 (step @p252 :rule chain_m_resolution :premises (@p251 @p239) :args (@t200 @t232 @t233)) % 33.83/34.02 (step @p253 :rule cnf_or_neg :args (@t231 0)) % 33.83/34.02 (step @p254 :rule chain_m_resolution :premises (@p253 @p239) :args (@t234 @t232 @t233)) % 33.83/34.02 (step @p255 :rule cnf_or_pos :args (@t240)) % 33.83/34.02 (step @p256 :rule reordering :premises (@p255) :args ((or @t202 @t201 @t199 @t239 (not @t240)))) % 33.83/34.02 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p252 @p246 @p212) :args (@t239 @t241 (@list @t202 @t200 @t198 @t240))) % 33.83/34.02 (step @p258 :rule cnf_and_pos :args (@t239 6)) % 33.83/34.02 (step @p259 :rule reordering :premises (@p258) :args ((or @t235 @t242))) % 33.83/34.02 (step @p260 :rule chain_m_resolution :premises (@p259 @p257) :args (@t235 @t207 @t243)) % 33.83/34.02 (step @p261 :rule cnf_and_pos :args (@t239 5)) % 33.83/34.02 (step @p262 :rule reordering :premises (@p261) :args ((or @t236 @t242))) % 33.83/34.02 (step @p263 :rule chain_m_resolution :premises (@p262 @p257) :args (@t236 @t207 @t243)) % 33.83/34.02 (step @p264 :rule cnf_and_pos :args (@t239 3)) % 33.83/34.02 (step @p265 :rule reordering :premises (@p264) :args ((or @t237 @t242))) % 33.83/34.02 (step @p266 :rule chain_m_resolution :premises (@p265 @p257) :args (@t237 @t207 @t243)) % 33.83/34.02 (step @p267 :rule bool-double-not-elim :args (@t195)) % 33.83/34.02 (step @p268 :rule nary_cong :premises (@p241 @p267) :args ((or @t231 (not @t196)))) % 33.83/34.02 (step @p269 :rule cnf_or_neg :args (@t231 3)) % 33.83/34.02 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 33.83/34.02 (step @p271 :rule reordering :premises (@p270) :args ((or @t195 @t231))) % 33.83/34.02 (step @p272 :rule chain_m_resolution :premises (@p271 @p239) :args (@t195 @t232 @t233)) % 33.83/34.02 (step @p273 :rule cnf_or_pos :args (@t247)) % 33.83/34.02 (step @p274 :rule factoring :premises (@p273)) % 33.83/34.02 (step @p275 :rule reordering :premises (@p274) :args ((or @t202 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33.83/34.02 (step @p326 :rule cong :premises (@p325) :args (@t44)) % 33.83/34.02 (step @p327 :rule trans :premises (@p326 @p319)) % 33.83/34.02 (step @p328 :rule refl :args (@t45)) % 33.83/34.02 (step @p329 :rule cong :premises (@p328 @p327) :args (@t46)) % 33.83/34.02 (step @p330 :rule cong :premises (@p329) :args (@t47)) % 33.83/34.02 (step @p331 :rule trans :premises (@p330 @p317)) % 33.83/34.02 (step @p332 :rule refl :args (@t28)) % 33.83/34.02 (step @p333 :rule cong :premises (@p332 @p331) :args (@t48)) % 33.83/34.02 (step @p334 :rule cong :premises (@p333) :args (@t49)) % 33.83/34.02 (step @p335 :rule trans :premises (@p334 @p302)) % 33.83/34.02 (step @p336 :rule eq_resolve :premises (@p7 @p335)) % 33.83/34.02 (step @p337 :rule instantiate :premises (@p336) :args ((@list @t194 @t189 @t229))) % 33.83/34.02 (step @p338 :rule aci_norm :args ((= (or @t282 @t64) (or @t19 @t281 @t64)))) % 33.83/34.02 (step @p339 :rule refl :args (@t64)) % 33.83/34.02 (step @p340 :rule refl :args 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(step @p391 :rule nary_cong :premises (@p59 @p58 @p57 @p390) :args (@t312)) % 33.83/34.02 (step @p392 :rule quant-miniscope-or :args ((= @t310 @t312))) % 33.83/34.02 (step @p393 :rule trans :premises (@p392 @p391)) % 33.83/34.02 (step @p394 :rule symm :premises (@p393)) % 33.83/34.02 (step @p395 :rule cong :premises (@p394) :args ((forall @t14 @t314))) % 33.83/34.02 (step @p396 :rule trans :premises (@p395 @p389)) % 33.83/34.02 (step @p397 :rule trans :premises (@p396 @p388)) % 33.83/34.02 (step @p398 :rule aci_norm :args ((= (or @t148 @t313) @t314))) % 33.83/34.02 (step @p399 :rule refl :args (@t313)) % 33.83/34.02 (step @p400 :rule nary_cong :premises (@p78 @p399) :args ((or @t151 @t313))) % 33.83/34.02 (step @p401 :rule trans :premises (@p400 @p398)) % 33.83/34.02 (step @p402 :rule bool-impl-elim :args (@t12 @t313)) % 33.83/34.02 (step @p403 :rule trans :premises (@p402 @p401)) % 33.83/34.02 (step @p404 :rule cong :premises (@p403) :args ((forall @t14 (=> @t12 @t313)))) % 33.83/34.02 (step @p405 :rule trans :premises (@p404 @p397)) % 33.83/34.02 (step @p406 :rule bool-impl-elim :args (@t76 @t75)) % 33.83/34.02 (step @p407 :rule cong :premises (@p406) :args (@t77)) % 33.83/34.02 (step @p408 :rule cong :premises (@p139 @p407) :args (@t78)) % 33.83/34.02 (step @p409 :rule cong :premises (@p408) :args (@t79)) % 33.83/34.02 (step @p410 :rule trans :premises (@p409 @p405)) % 33.83/34.02 (step @p411 :rule eq_resolve :premises (@p15 @p410)) % 33.83/34.02 (step @p412 :rule instantiate :premises (@p411) :args ((@list @t188 @t189))) % 33.83/34.02 (step @p413 :rule aci_norm :args ((= (or (or @t10 @t127 @t126 @t143 @t163) @t58) (or @t10 @t127 @t126 @t143 @t163 @t58)))) % 33.83/34.02 (step @p414 :rule refl :args (@t58)) % 33.83/34.02 (step @p415 :rule nary_cong :premises (@p69 @p58 @p57 @p89 @p105) :args (@t315)) % 33.83/34.02 (step @p416 :rule aci_norm :args ((= (or @t149 (or @t127 @t213)) @t315))) % 33.83/34.02 (step @p417 :rule trans :premises (@p416 @p415)) % 33.83/34.02 (step @p418 :rule nary_cong :premises (@p58 @p175) :args ((or @t127 @t214))) % 33.83/34.02 (step @p419 :rule bool-and-de-morgan :args (@t9 @t8 (and @t5 @t59))) % 33.83/34.02 (step @p420 :rule trans :premises (@p419 @p418)) % 33.83/34.02 (step @p421 :rule nary_cong :premises (@p74 @p420) :args ((or @t149 (not (and @t9 @t8 @t5 @t59))))) % 33.83/34.02 (step @p422 :rule bool-and-de-morgan :args (@t11 @t9 (and @t8 @t5 @t59))) % 33.83/34.02 (step @p423 :rule trans :premises (@p422 @p421)) % 33.83/34.02 (step @p424 :rule trans :premises (@p423 @p417)) % 33.83/34.02 (step @p425 :rule nary_cong :premises (@p424 @p414) :args ((or (not @t60) @t58))) % 33.83/34.02 (step @p426 :rule trans :premises (@p425 @p413)) % 33.83/34.02 (step @p427 :rule bool-impl-elim :args (@t60 @t58)) % 33.83/34.02 (step @p428 :rule trans :premises (@p427 @p426)) % 33.83/34.02 (step @p429 :rule cong :premises (@p428) :args (@t62)) % 33.83/34.02 (step @p430 :rule eq_resolve :premises (@p10 @p429)) % 33.83/34.02 (step @p431 :rule instantiate :premises (@p430) :args (@t216)) % 33.83/34.02 (step @p432 :rule cnf_or_pos :args (@t318)) % 33.83/34.02 (step @p433 :rule factoring :premises (@p432)) % 33.83/34.02 (step @p434 :rule reordering :premises (@p433) :args ((or @t202 @t201 @t199 @t196 @t317 (not @t318)))) % 33.83/34.02 (step @p435 :rule chain_m_resolution :premises (@p434 @p254 @p252 @p246 @p272 @p431) :args (@t317 @t319 (@list @t202 @t200 @t198 @t195 @t318))) % 33.83/34.02 (step @p436 :rule cnf_and_pos :args (@t317 1)) % 33.83/34.02 (step @p437 :rule reordering :premises (@p436) :args ((or @t316 (not @t317)))) % 33.83/34.02 (step @p438 :rule chain_m_resolution :premises (@p437 @p435) :args (@t316 @t207 (@list @t317))) % 33.83/34.02 (step @p439 :rule cnf_or_pos :args (@t322)) % 33.83/34.02 (step @p440 :rule reordering :premises (@p439) :args ((or @t202 @t201 @t199 @t320 @t321 (not @t322)))) % 33.83/34.02 (step @p441 :rule chain_m_resolution :premises (@p440 @p254 @p252 @p246 @p438 @p412) :args (@t320 @t319 (@list @t202 @t200 @t198 @t316 @t322))) % 33.83/34.02 (step @p442 :rule cnf_or_pos :args (@t327)) % 33.83/34.02 (step @p443 :rule reordering :premises (@p442) :args ((or @t295 @t326 @t325 @t324 (not @t327)))) % 33.83/34.02 (step @p444 :rule chain_m_resolution :premises (@p443 @p383 @p441 @p386 @p337) :args (@t324 @t241 (@list @t295 @t320 @t300 @t327))) % 33.83/34.02 (step @p445 :rule cnf_or_neg :args (@t231 4)) % 33.83/34.02 (step @p446 :rule chain_m_resolution :premises (@p445 @p239) :args ((not @t230) @t232 @t233)) % 33.83/34.02 (step @p447 :rule cnf_equiv_pos2 :args (@t324)) % 33.83/34.02 (step @p448 :rule reordering :premises (@p447) :args ((or @t230 @t328 (not @t324)))) % 33.83/34.02 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p444) :args (@t328 (@list true false) (@list @t230 @t324))) % 33.83/34.02 (step @p450 :rule skolemize :premises (@p449)) % 33.83/34.02 (step @p451 :rule cnf_or_neg :args (@t335 1)) % 33.83/34.02 (step @p452 :rule chain_m_resolution :premises (@p451 @p450) :args ((not @t332) @t232 @t336)) % 33.83/34.02 (step @p453 :rule cnf_equiv_neg2 :args (@t332)) % 33.83/34.02 (step @p454 :rule instantiate :premises (@p143) :args ((@list @t188 @t187 @t187 @t329))) % 33.83/34.02 (step @p455 :rule bool-double-not-elim :args (@t333)) % 33.83/34.02 (step @p456 :rule refl :args (@t335)) % 33.83/34.02 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t335 (not @t334)))) % 33.83/34.02 (step @p458 :rule cnf_or_neg :args (@t335 0)) % 33.83/34.02 (step @p459 :rule eq_resolve :premises (@p458 @p457)) % 33.83/34.02 (step @p460 :rule reordering :premises (@p459) :args ((or @t333 @t335))) % 33.83/34.02 (step @p461 :rule chain_m_resolution :premises (@p460 @p450) :args (@t333 @t232 @t336)) % 33.83/34.02 (step @p462 :rule cnf_or_pos :args (@t341)) % 33.83/34.02 (step @p463 :rule factoring :premises (@p462)) % 33.83/34.02 (step @p464 :rule reordering :premises (@p463) :args ((or @t202 @t201 @t199 @t196 @t197 @t334 @t340 (not @t341)))) % 33.83/34.02 (step @p465 :rule chain_m_resolution :premises (@p464 @p254 @p252 @p246 @p272 @p276 @p461 @p454) :args (@t340 @t248 (@list @t202 @t200 @t198 @t195 @t191 @t333 @t341))) % 33.83/34.02 (step @p466 :rule cnf_equiv_pos1 :args (@t340)) % 33.83/34.02 (step @p467 :rule reordering :premises (@p466) :args ((or @t342 @t339 (not @t340)))) % 33.83/34.02 (step @p468 :rule cnf_and_pos :args (@t339 0)) % 33.83/34.02 (step @p469 :rule reordering :premises (@p468) :args ((or @t338 @t343))) % 33.83/34.02 (step @p470 :rule cnf_and_pos :args (@t339 1)) % 33.83/34.02 (step @p471 :rule reordering :premises (@p470) :args ((or @t337 @t343))) % 33.83/34.02 (step @p472 :rule aci_norm :args ((= (or @t211 @t92) (or @t10 @t210 @t209 @t208 @t126 @t143 @t163 @t92)))) % 33.83/34.02 (step @p473 :rule refl :args (@t92)) % 33.83/34.02 (step @p474 :rule nary_cong :premises (@p188 @p473) :args ((or @t215 @t92))) % 33.83/34.02 (step @p475 :rule trans :premises (@p474 @p472)) % 33.83/34.02 (step @p476 :rule bool-impl-elim :args (@t93 @t92)) % 33.83/34.02 (step @p477 :rule trans :premises (@p476 @p475)) % 33.83/34.02 (step @p478 :rule cong :premises (@p477) :args (@t94)) % 33.83/34.02 (step @p479 :rule eq_resolve :premises (@p38 @p478)) % 33.83/34.02 (step @p480 :rule instantiate :premises (@p479) :args (@t344)) % 33.83/34.02 (step @p481 :rule cnf_or_pos :args (@t347)) % 33.83/34.02 (step @p482 :rule reordering :premises (@p481) :args ((or @t202 @t199 @t196 @t246 @t245 @t244 @t334 @t346 (not @t347)))) % 33.83/34.02 (step @p483 :rule chain_m_resolution :premises (@p482 @p254 @p246 @p272 @p266 @p263 @p260 @p461 @p480) :args (@t346 @t348 (@list @t202 @t198 @t195 @t237 @t236 @t235 @t333 @t347))) % 33.83/34.02 (step @p484 :rule cnf_equiv_pos1 :args (@t346)) % 33.83/34.02 (step @p485 :rule reordering :premises (@p484) :args ((or @t345 (not @t338) (not @t346)))) % 33.83/34.02 (step @p486 :rule instantiate :premises (@p479) :args ((@list @t188 @t329 @t187))) % 33.83/34.02 (step @p487 :rule cnf_or_pos :args (@t351)) % 33.83/34.02 (step @p488 :rule reordering :premises (@p487) :args ((or @t202 @t199 @t196 @t246 @t245 @t244 @t334 @t350 (not @t351)))) % 33.83/34.02 (step @p489 :rule chain_m_resolution :premises (@p488 @p254 @p246 @p272 @p266 @p263 @p260 @p461 @p486) :args (@t350 @t348 (@list @t202 @t198 @t195 @t237 @t236 @t235 @t333 @t351))) % 33.83/34.02 (step @p490 :rule cnf_equiv_pos1 :args (@t350)) % 33.83/34.02 (step @p491 :rule reordering :premises (@p490) :args ((or @t349 (not @t337) (not @t350)))) % 33.83/34.02 (step @p492 :rule cnf_and_pos :args (@t239 1)) % 33.83/34.02 (step @p493 :rule reordering :premises (@p492) :args ((or @t238 @t242))) % 33.83/34.02 (step @p494 :rule chain_m_resolution :premises (@p493 @p257) :args (@t238 @t207 @t243)) % 33.83/34.02 (step @p495 :rule cnf_and_pos :args (@t288 1)) % 33.83/34.02 (step @p496 :rule reordering :premises (@p495) :args ((or @t286 @t290))) % 33.83/34.02 (step @p497 :rule chain_m_resolution :premises (@p496 @p374) :args (@t286 @t207 @t291)) % 33.83/34.02 (step @p498 :rule aci_norm :args ((= @t362 (or @t10 @t360 @t359 @t358 @t357 @t356 @t355 @t354)))) % 33.83/34.02 (step @p499 :rule cong :premises (@p498) :args (@t363)) % 33.83/34.02 (step @p500 :rule quant-merge-prenex :args ((= (forall @t14 @t365) @t363))) % 33.83/34.02 (step @p501 :rule alpha_equiv :args (@t366 (@list @t353 @t352) (@list @t1 @t367))) % 33.83/34.02 (step @p502 :rule refl :args (@t359)) % 33.83/34.02 (step @p503 :rule refl :args (@t360)) % 33.83/34.02 (step @p504 :rule nary_cong :premises (@p59 @p503 @p502 @p501) :args (@t368)) % 33.83/34.02 (step @p505 :rule quant-miniscope-or :args ((= @t365 @t368))) % 33.83/34.02 (step @p506 :rule trans :premises (@p505 @p504)) % 33.83/34.02 (step @p507 :rule symm :premises (@p506)) % 33.83/34.02 (step @p508 :rule cong :premises (@p507) :args ((forall @t14 @t376))) % 33.83/34.02 (step @p509 :rule trans :premises (@p508 @p500)) % 33.83/34.02 (step @p510 :rule trans :premises (@p509 @p499)) % 33.83/34.02 (step @p511 :rule aci_norm :args ((= (or (or @t10 @t360 @t359) @t375) @t376))) % 33.83/34.02 (step @p512 :rule refl :args (@t375)) % 33.83/34.02 (step @p513 :rule nary_cong :premises (@p69 @p503 @p502) :args (@t377)) % 33.83/34.02 (step @p514 :rule aci_norm :args ((= (or @t149 (or @t360 @t359)) @t377))) % 33.83/34.02 (step @p515 :rule trans :premises (@p514 @p513)) % 33.83/34.02 (step @p516 :rule bool-and-de-morgan :args (@t23 @t71 true)) % 33.83/34.02 (step @p517 :rule nary_cong :premises (@p74 @p516) :args ((or @t149 (not (and @t23 @t71))))) % 33.83/34.02 (step @p518 :rule bool-and-de-morgan :args (@t11 @t23 (and @t71))) % 33.83/34.02 (step @p519 :rule trans :premises (@p518 @p517)) % 33.83/34.02 (step @p520 :rule trans :premises (@p519 @p515)) % 33.83/34.02 (step @p521 :rule nary_cong :premises (@p520 @p512) :args ((or (not @t104) @t375))) % 33.83/34.02 (step @p522 :rule trans :premises (@p521 @p511)) % 33.83/34.02 (step @p523 :rule bool-impl-elim :args (@t104 @t375)) % 33.83/34.02 (step @p524 :rule trans :premises (@p523 @p522)) % 33.83/34.02 (step @p525 :rule cong :premises (@p524) :args ((forall @t14 (=> @t104 @t375)))) % 33.83/34.02 (step @p526 :rule trans :premises (@p525 @p510)) % 33.83/34.02 (step @p527 :rule aci_norm :args ((= @t379 @t373))) % 33.83/34.02 (step @p528 :rule cong :premises (@p527) :args (@t380)) % 33.83/34.02 (step @p529 :rule quant-merge-prenex :args ((= (forall @t6 @t382) @t380))) % 33.83/34.02 (step @p530 :rule alpha_equiv :args (@t383 (@list @t367) @t277)) % 33.83/34.02 (step @p531 :rule nary_cong :premises (@p89 @p530) :args (@t384)) % 33.83/34.02 (step @p532 :rule quant-miniscope-or :args ((= @t382 @t384))) % 33.83/34.02 (step @p533 :rule trans :premises (@p532 @p531)) % 33.83/34.02 (step @p534 :rule symm :premises (@p533)) % 33.83/34.02 (step @p535 :rule cong :premises (@p534) :args ((forall @t6 (or @t143 @t388)))) % 33.83/34.02 (step @p536 :rule trans :premises (@p535 @p529)) % 33.83/34.02 (step @p537 :rule trans :premises (@p536 @p528)) % 33.83/34.02 (step @p538 :rule bool-impl-elim :args (@t5 @t388)) % 33.83/34.02 (step @p539 :rule cong :premises (@p538) :args ((forall @t6 (=> @t5 @t388)))) % 33.83/34.02 (step @p540 :rule trans :premises (@p539 @p537)) % 33.83/34.02 (step @p541 :rule aci_norm :args ((= (or @t163 @t389) @t387))) % 33.83/34.02 (step @p542 :rule aci_norm :args ((= (or (or @t386 @t385) @t88) @t389))) % 33.83/34.02 (step @p543 :rule refl :args (@t88)) % 33.83/34.02 (step @p544 :rule bool-and-de-morgan :args (@t90 @t98 true)) % 33.83/34.02 (step @p545 :rule nary_cong :premises (@p544 @p543) :args ((or (not @t99) @t88))) % 33.83/34.02 (step @p546 :rule trans :premises (@p545 @p542)) % 33.83/34.02 (step @p547 :rule bool-impl-elim :args (@t99 @t88)) % 33.83/34.02 (step @p548 :rule trans :premises (@p547 @p546)) % 33.83/34.02 (step @p549 :rule nary_cong :premises (@p105 @p548) :args ((or @t163 @t100))) % 33.83/34.02 (step @p550 :rule trans :premises (@p549 @p541)) % 33.83/34.02 (step @p551 :rule bool-impl-elim :args (@t59 @t100)) % 33.83/34.02 (step @p552 :rule trans :premises (@p551 @p550)) % 33.83/34.02 (step @p553 :rule cong :premises (@p552) :args (@t101)) % 33.83/34.02 (step @p554 :rule cong :premises (@p135 @p553) :args (@t102)) % 33.83/34.02 (step @p555 :rule cong :premises (@p554) :args (@t103)) % 33.83/34.02 (step @p556 :rule trans :premises (@p555 @p540)) % 33.83/34.02 (step @p557 :rule refl :args (@t104)) % 33.83/34.02 (step @p558 :rule cong :premises (@p557 @p556) :args (@t105)) % 33.83/34.02 (step @p559 :rule cong :premises (@p558) :args (@t106)) % 33.83/34.02 (step @p560 :rule trans :premises (@p559 @p526)) % 33.83/34.02 (step @p561 :rule eq_resolve :premises (@p44 @p560)) % 33.83/34.02 (step @p562 :rule instantiate :premises (@p561) :args (@t344)) % 33.83/34.02 (step @p563 :rule cnf_or_pos :args (@t395)) % 33.83/34.02 (step @p564 :rule reordering :premises (@p563) :args ((or @t202 @t196 @t394 @t393 @t334 @t392 @t391 @t390 (not @t395)))) % 33.83/34.02 (step @p565 :rule aci_norm :args ((= (or @t282 @t86) (or @t19 @t281 @t86)))) % 33.83/34.02 (step @p566 :rule refl :args (@t86)) % 33.83/34.02 (step @p567 :rule nary_cong :premises (@p343 @p566) :args ((or @t283 @t86))) % 33.83/34.02 (step @p568 :rule trans :premises (@p567 @p565)) % 33.83/34.02 (step @p569 :rule bool-impl-elim :args (@t66 @t86)) % 33.83/34.02 (step @p570 :rule trans :premises (@p569 @p568)) % 33.83/34.02 (step @p571 :rule cong :premises (@p570) :args (@t87)) % 33.83/34.02 (step @p572 :rule eq_resolve :premises (@p36 @p571)) % 33.83/34.02 (step @p573 :rule instantiate :premises (@p572) :args (@t284)) % 33.83/34.02 (step @p574 :rule cnf_or_pos :args (@t398)) % 33.83/34.02 (step @p575 :rule reordering :premises (@p574) :args ((or @t196 @t295 @t397 (not @t398)))) % 33.83/34.02 (step @p576 :rule chain_m_resolution :premises (@p575 @p272 @p383 @p573) :args (@t397 @t302 (@list @t195 @t295 @t398))) % 33.83/34.02 (step @p577 :rule eq-symm :args (@t31 @t2)) % 33.83/34.02 (step @p578 :rule refl :args (@t50)) % 33.83/34.02 (step @p579 :rule cong :premises (@p578 @p577) :args (@t51)) % 33.83/34.02 (step @p580 :rule cong :premises (@p579) :args (@t52)) % 33.83/34.02 (step @p581 :rule refl :args (@t54)) % 33.83/34.02 (step @p582 :rule cong :premises (@p581 @p580) :args (@t55)) % 33.83/34.02 (step @p583 :rule cong :premises (@p582) :args (@t56)) % 33.83/34.02 (step @p584 :rule eq_resolve :premises (@p8 @p583)) % 33.83/34.02 (step @p585 :rule bool-eq-true :args (@t400)) % 33.83/34.02 (step @p586 :rule eq-symm :args (true @t400)) % 33.83/34.02 (step @p587 :rule trans :premises (@p586 @p585)) % 33.83/34.02 (step @p588 :rule eq-symm :args (@t187 @t31)) % 33.83/34.02 (step @p589 :rule refl :args (@t399)) % 33.83/34.02 (step @p590 :rule cong :premises (@p589 @p588) :args (@t401)) % 33.83/34.02 (step @p591 :rule cong :premises (@p590) :args (@t402)) % 33.83/34.02 (step @p592 :rule eq-refl :args (@t396)) % 33.83/34.02 (step @p593 :rule cong :premises (@p592 @p591) :args (@t403)) % 33.83/34.02 (step @p594 :rule trans :premises (@p593 @p587)) % 33.83/34.02 (step @p595 :rule refl :args (@t404)) % 33.83/34.02 (step @p596 :rule cong :premises (@p595 @p594) :args ((=> @t404 @t403))) % 33.83/34.02 (assume-push @p727 @t404) % 33.83/34.02 (step @p598 :rule instantiate :premises (@p584) :args ((@list @t187 @t396))) % 33.83/34.02 (step-pop @p728 :rule scope :premises (@p598)) % 33.83/34.02 (step @p599 :rule process_scope :premises (@p728) :args (@t403)) % 33.83/34.02 (step @p601 :rule eq_resolve :premises (@p599 @p596)) % 33.83/34.02 (step @p602 :rule implies_elim :premises (@p601)) % 33.83/34.02 (step @p603 :rule chain_m_resolution :premises (@p602 @p584) :args (@t400 @t207 (@list @t404))) % 33.83/34.02 (step @p604 :rule bool-eq-true :args (@t405)) % 33.83/34.02 (step @p605 :rule eq-refl :args (@t187)) % 33.83/34.02 (step @p606 :rule refl :args (@t405)) % 33.83/34.02 (step @p607 :rule cong :premises (@p606 @p605) :args (@t406)) % 33.83/34.02 (step @p608 :rule trans :premises (@p607 @p604)) % 33.83/34.02 (step @p609 :rule refl :args (@t400)) % 33.83/34.02 (step @p610 :rule cong :premises (@p609 @p608) :args ((=> @t400 @t406))) % 33.83/34.02 (assume-push @p729 @t400) % 33.83/34.02 (step @p612 :rule instantiate :premises (@p603) :args ((@list @t187))) % 33.83/34.02 (step-pop @p730 :rule scope :premises (@p612)) % 33.83/34.02 (step @p613 :rule process_scope :premises (@p730) :args (@t406)) % 33.83/34.02 (step @p615 :rule eq_resolve :premises (@p613 @p610)) % 33.83/34.02 (step @p616 :rule implies_elim :premises (@p615)) % 33.83/34.02 (step @p617 :rule chain_m_resolution :premises (@p616 @p603) :args (@t405 @t207 @t407)) % 33.83/34.02 (step @p618 :rule refl :args (@t408)) % 33.83/34.02 (step @p619 :rule refl :args (@t409)) % 33.83/34.02 (step @p620 :rule bool-double-not-elim :args (@t330)) % 33.83/34.02 (step @p621 :rule refl :args (@t410)) % 33.83/34.02 (step @p622 :rule nary_cong :premises (@p621 @p620 @p619 @p618) :args ((or @t410 (not @t411) @t409 @t408))) % 33.83/34.02 (assume-push @p731 @t411) % 33.83/34.02 (assume-push @p732 @t390) % 33.83/34.02 (assume-push @p733 @t397) % 33.83/34.02 (assume-push @p734 @t405) % 33.83/34.02 (step @p627 :rule evaluate :args (@t412)) % 33.83/34.02 (step @p628 :rule false_intro :premises (@p731)) % 33.83/34.02 (step @p629 :rule symm :premises (@p576)) % 33.83/34.02 (step @p630 :rule cong :premises (@p732 @p629) :args (@t405)) % 33.83/34.02 (step @p631 :rule true_intro :premises (@p617)) % 33.83/34.02 (step @p632 :rule symm :premises (@p631)) % 33.83/34.02 (step @p633 :rule trans :premises (@p632 @p630 @p628)) % 33.83/34.02 (step @p634 false :rule eq_resolve :premises (@p633 @p627)) % 33.83/34.02 (step-pop @p735 :rule scope :premises (@p634)) % 33.83/34.02 (step-pop @p736 :rule scope :premises (@p735)) % 33.83/34.02 (step-pop @p737 :rule scope :premises (@p736)) % 33.83/34.02 (step-pop @p738 :rule scope :premises (@p737)) % 33.83/34.02 (step @p635 :rule process_scope :premises (@p738) :args (false)) % 33.83/34.02 (assume-push @p739 @t397) % 33.83/34.02 (assume-push @p740 @t411) % 33.83/34.02 (assume-push @p741 @t390) % 33.83/34.02 (assume-push @p742 @t405) % 33.83/34.02 (step @p644 :rule and_intro :premises (@p740 @p741 @p576 @p617)) % 33.83/34.02 (step-pop @p743 :rule scope :premises (@p644)) % 33.83/34.02 (step-pop @p744 :rule scope :premises (@p743)) % 33.83/34.02 (step-pop @p745 :rule scope :premises (@p744)) % 33.83/34.02 (step-pop @p746 :rule scope :premises (@p745)) % 33.83/34.02 (step @p645 :rule process_scope :premises (@p746) :args (@t413)) % 33.83/34.02 (step @p650 :rule implies_elim :premises (@p645)) % 33.83/34.02 (step @p651 :rule resolution :premises (@p650 @p635) :args (true @t413)) % 33.83/34.02 (step @p652 :rule not_and :premises (@p651)) % 33.83/34.02 (step @p653 :rule eq_resolve :premises (@p652 @p622)) % 33.83/34.02 (step @p654 :rule chain_m_resolution :premises (@p653 @p617 @p576 @p564 @p562 @p461 @p497 @p494 @p272 @p254 @p491 @p489 @p485 @p483 @p471 @p469 @p467 @p465 @p453 @p452) :args (@t342 (@list false false false false false false false false true false false false false false false false false true true) (@list @t405 @t397 @t390 @t395 @t333 @t286 @t238 @t195 @t202 @t349 @t350 @t345 @t346 @t337 @t338 @t339 @t340 @t330 @t332))) % 33.83/34.02 (step @p655 :rule refl :args (@t414)) % 33.83/34.02 (step @p656 :rule eq-symm :args (@t329 @t187)) % 33.83/34.02 (step @p657 :rule cong :premises (@p656 @p655) :args ((= @t415 @t414))) % 33.83/34.02 (step @p658 :rule eq-symm :args (@t414 @t415)) % 33.83/34.02 (step @p659 :rule trans :premises (@p658 @p657)) % 33.83/34.02 (step @p660 :rule cong :premises (@p609 @p659) :args ((=> @t400 @t416))) % 33.83/34.02 (assume-push @p747 @t400) % 33.83/34.02 (step @p662 :rule instantiate :premises (@p603) :args ((@list @t329))) % 33.83/34.02 (step-pop @p748 :rule scope :premises (@p662)) % 33.83/34.02 (step @p663 :rule process_scope :premises (@p748) :args (@t416)) % 33.83/34.02 (step @p665 :rule eq_resolve :premises (@p663 @p660)) % 33.83/34.02 (step @p666 :rule implies_elim :premises (@p665)) % 33.83/34.02 (step @p667 :rule chain_m_resolution :premises (@p666 @p603) :args (@t417 @t207 @t407)) % 33.83/34.02 (step @p668 :rule cnf_equiv_neg1 :args (@t332)) % 33.83/34.02 (step @p669 :rule reordering :premises (@p668) :args ((or @t331 @t330 @t332))) % 33.83/34.02 (step @p670 :rule chain_m_resolution :premises (@p669 @p654 @p452) :args (@t330 (@list true true) (@list @t331 @t332))) % 33.83/34.02 (assume-push @p749 @t397) % 33.83/34.02 (assume-push @p750 @t330) % 33.83/34.02 (assume-push @p751 @t330) % 33.83/34.02 (assume-push @p752 @t397) % 33.83/34.02 (step @p675 :rule true_intro :premises (@p750)) % 33.83/34.02 (step @p629 :rule symm :premises (@p576)) % 33.83/34.02 (step @p676 :rule refl :args (@t329)) % 33.83/34.02 (step @p677 :rule cong :premises (@p676 @p629) :args (@t414)) % 33.83/34.02 (step @p678 :rule trans :premises (@p677 @p675)) % 33.83/34.02 (step @p679 :rule true_elim :premises (@p678)) % 33.83/34.02 (step-pop @p753 :rule scope :premises (@p679)) % 33.83/34.02 (step-pop @p754 :rule scope :premises (@p753)) % 33.83/34.02 (step @p680 :rule process_scope :premises (@p754) :args (@t414)) % 33.83/34.02 (step @p683 :rule and_intro :premises (@p750 @p576)) % 33.83/34.02 (step @p684 :rule modus_ponens :premises (@p683 @p680)) % 33.83/34.02 (step-pop @p755 :rule scope :premises (@p684)) % 33.83/34.02 (step-pop @p756 :rule scope :premises (@p755)) % 33.83/34.02 (step @p685 :rule process_scope :premises (@p756) :args (@t414)) % 33.83/34.02 (step @p688 :rule implies_elim :premises (@p685)) % 33.83/34.02 (step @p689 :rule cnf_and_neg :args (@t418)) % 33.83/34.02 (step @p690 :rule resolution :premises (@p689 @p688) :args (true @t418)) % 33.83/34.02 (step @p691 :rule chain_m_resolution :premises (@p690 @p576 @p670) :args (@t414 @t249 (@list @t397 @t330))) % 33.83/34.02 (step @p692 :rule cnf_equiv_pos2 :args (@t417)) % 33.83/34.02 (step @p693 :rule reordering :premises (@p692) :args ((or @t390 (not @t414) (not @t417)))) % 33.83/34.02 (step @p694 :rule chain_m_resolution :premises (@p693 @p691 @p667) :args (@t390 @t249 (@list @t414 @t417))) % 33.83/34.02 (step @p695 :rule bool-double-not-elim :args (@t331)) % 33.83/34.02 (step @p696 :rule refl :args (@t419)) % 33.83/34.02 (step @p697 :rule nary_cong :premises (@p696 @p695 @p619) :args ((or @t419 (not @t342) @t409))) % 33.83/34.02 (assume-push @p757 @t342) % 33.83/34.02 (assume-push @p758 @t390) % 33.83/34.02 (assume-push @p759 @t190) % 33.83/34.02 (step @p627 :rule evaluate :args (@t412)) % 33.83/34.02 (step @p701 :rule false_intro :premises (@p757)) % 33.83/34.02 (step @p702 :rule refl :args (@t189)) % 33.83/34.02 (step @p703 :rule cong :premises (@p758 @p702) :args (@t190)) % 33.83/34.02 (step @p704 :rule true_intro :premises (@p283)) % 33.83/34.02 (step @p705 :rule symm :premises (@p704)) % 33.83/34.02 (step @p706 :rule trans :premises (@p705 @p703 @p701)) % 33.83/34.02 (step @p707 false :rule eq_resolve :premises (@p706 @p627)) % 33.83/34.02 (step-pop @p760 :rule scope :premises (@p707)) % 33.83/34.02 (step-pop @p761 :rule scope :premises (@p760)) % 33.83/34.02 (step-pop @p762 :rule scope :premises (@p761)) % 33.83/34.02 (step @p708 :rule process_scope :premises (@p762) :args (false)) % 33.83/34.02 (assume-push @p763 @t190) % 33.83/34.02 (assume-push @p764 @t342) % 33.83/34.02 (assume-push @p765 @t390) % 33.83/34.02 (step @p715 :rule and_intro :premises (@p764 @p765 @p283)) % 33.83/34.02 (step-pop @p766 :rule scope :premises (@p715)) % 33.83/34.02 (step-pop @p767 :rule scope :premises (@p766)) % 33.83/34.02 (step-pop @p768 :rule scope :premises (@p767)) % 33.83/34.02 (step @p716 :rule process_scope :premises (@p768) :args (@t420)) % 33.83/34.02 (step @p720 :rule implies_elim :premises (@p716)) % 33.83/34.02 (step @p721 :rule resolution :premises (@p720 @p708) :args (true @t420)) % 33.83/34.02 (step @p722 :rule not_and :premises (@p721)) % 33.83/34.02 (step @p723 :rule eq_resolve :premises (@p722 @p697)) % 33.83/34.02 (step @p724 false :rule chain_m_resolution :premises (@p723 @p694 @p654 @p283) :args (false @t302 (@list @t390 @t331 @t190))) % 33.83/34.02 ) % 33.83/34.02 % SZS output end Proof % 33.83/34.02 % cvc5 exiting %------------------------------------------------------------------------------