%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT330+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 : n015.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 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT330+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 06:32:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.k18_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.a_2_0_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.k22_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.52/0.72 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.52/0.72 (define @t1 () (@var "B" $$unsorted)) % 0.52/0.72 (define @t2 () (@var "A" $$unsorted)) % 0.52/0.72 (define @t3 () (tptp.k5_lattices @t2)) % 0.52/0.72 (define @t4 () (tptp.k18_filter_2 @t2 @t1)) % 0.52/0.72 (define @t5 () (tptp.u1_struct_0 @t2)) % 0.52/0.72 (define @t6 () (tptp.r1_filter_2 @t5 @t4 (tptp.k22_filter_2 @t2 @t3 @t1))) % 0.52/0.72 (define @t7 () (tptp.v13_lattices @t2)) % 0.52/0.72 (define @t8 () (=> @t7 @t6)) % 0.52/0.72 (define @t9 () (tptp.m1_subset_1 @t1 @t5)) % 0.52/0.72 (define @t10 () (@list @t1)) % 0.52/0.72 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.52/0.72 (define @t12 () (tptp.l3_lattices @t2)) % 0.52/0.72 (define @t13 () (tptp.v10_lattices @t2)) % 0.52/0.72 (define @t14 () (tptp.v3_struct_0 @t2)) % 0.52/0.72 (define @t15 () (not @t14)) % 0.52/0.72 (define @t16 () (and @t15 @t13 @t12)) % 0.52/0.72 (define @t17 () (=> @t16 @t11)) % 0.52/0.72 (define @t18 () (@list @t2)) % 0.52/0.72 (define @t19 () (forall @t18 @t17)) % 0.52/0.72 (define @t20 () (not @t19)) % 0.52/0.72 (define @t21 () (tptp.r2_hidden @t2 @t1)) % 0.52/0.72 (define @t22 () (@list @t2 @t1)) % 0.52/0.72 (define @t23 () (tptp.v1_xboole_0 @t2)) % 0.52/0.72 (define @t24 () (tptp.v9_lattices @t2)) % 0.52/0.72 (define @t25 () (tptp.v8_lattices @t2)) % 0.52/0.72 (define @t26 () (tptp.v6_lattices @t2)) % 0.52/0.72 (define @t27 () (and @t15 (tptp.v4_lattices @t2) (tptp.v5_lattices @t2) @t26 (tptp.v7_lattices @t2) @t25 @t24)) % 0.52/0.72 (define @t28 () (and @t15 @t13)) % 0.52/0.72 (define @t29 () (@var "C" $$unsorted)) % 0.52/0.72 (define @t30 () (@var "D" $$unsorted)) % 0.52/0.72 (define @t31 () (tptp.r2_hidden @t30 @t1)) % 0.52/0.72 (define @t32 () (= @t31 (tptp.r2_hidden @t30 @t29))) % 0.52/0.72 (define @t33 () (tptp.m1_subset_1 @t30 @t2)) % 0.52/0.72 (define @t34 () (@list @t30)) % 0.52/0.72 (define @t35 () (forall @t34 (=> @t33 @t32))) % 0.52/0.72 (define @t36 () (tptp.r1_filter_2 @t2 @t1 @t29)) % 0.52/0.72 (define @t37 () (= @t36 @t35)) % 0.52/0.72 (define @t38 () (tptp.k1_zfmisc_1 @t2)) % 0.52/0.72 (define @t39 () (tptp.m1_subset_1 @t29 @t38)) % 0.52/0.72 (define @t40 () (=> @t39 @t37)) % 0.52/0.72 (define @t41 () (@list @t29)) % 0.52/0.72 (define @t42 () (forall @t41 @t40)) % 0.52/0.72 (define @t43 () (tptp.m1_subset_1 @t1 @t38)) % 0.52/0.72 (define @t44 () (=> @t43 @t42)) % 0.52/0.72 (define @t45 () (forall @t10 @t44)) % 0.52/0.72 (define @t46 () (not @t23)) % 0.52/0.72 (define @t47 () (=> @t46 @t45)) % 0.52/0.72 (define @t48 () (forall @t18 @t47)) % 0.52/0.72 (define @t49 () (tptp.m2_filter_2 @t4 @t2)) % 0.52/0.72 (define @t50 () (and @t15 @t13 @t12 @t9)) % 0.52/0.72 (define @t51 () (forall @t22 (=> @t50 @t49))) % 0.52/0.72 (define @t52 () (tptp.k22_filter_2 @t2 @t1 @t29)) % 0.52/0.72 (define @t53 () (and (not (tptp.v1_xboole_0 @t52)) (tptp.m2_lattice4 @t52 @t2))) % 0.52/0.72 (define @t54 () (tptp.m1_subset_1 @t29 @t5)) % 0.52/0.72 (define @t55 () (and @t15 @t13 @t12 @t9 @t54)) % 0.52/0.72 (define @t56 () (@list @t2 @t1 @t29)) % 0.52/0.72 (define @t57 () (forall @t56 (=> @t55 @t53))) % 0.52/0.72 (define @t58 () (tptp.m1_subset_1 @t3 @t5)) % 0.52/0.72 (define @t59 () (tptp.l1_lattices @t2)) % 0.52/0.72 (define @t60 () (and @t15 @t59)) % 0.52/0.72 (define @t61 () (forall @t18 (=> @t60 @t58))) % 0.52/0.72 (define @t62 () (tptp.l1_struct_0 @t2)) % 0.52/0.72 (define @t63 () (forall @t18 (=> @t59 @t62))) % 0.52/0.72 (define @t64 () (tptp.l2_lattices @t2)) % 0.52/0.72 (define @t65 () (and @t59 @t64)) % 0.52/0.72 (define @t66 () (forall @t18 (=> @t12 @t65))) % 0.52/0.72 (define @t67 () (tptp.m2_lattice4 @t1 @t2)) % 0.52/0.72 (define @t68 () (tptp.v1_xboole_0 @t1)) % 0.52/0.72 (define @t69 () (not @t68)) % 0.52/0.72 (define @t70 () (and @t69 @t67)) % 0.52/0.72 (define @t71 () (tptp.m2_filter_2 @t1 @t2)) % 0.52/0.72 (define @t72 () (forall @t10 (=> @t71 @t70))) % 0.52/0.72 (define @t73 () (=> @t16 @t72)) % 0.52/0.72 (define @t74 () (forall @t18 @t73)) % 0.52/0.72 (define @t75 () (tptp.k1_zfmisc_1 @t5)) % 0.52/0.72 (define @t76 () (tptp.m1_subset_1 @t1 @t75)) % 0.52/0.72 (define @t77 () (forall @t10 (=> @t67 @t76))) % 0.52/0.72 (define @t78 () (=> @t16 @t77)) % 0.52/0.72 (define @t79 () (forall @t18 @t78)) % 0.52/0.72 (define @t80 () (not (tptp.v1_xboole_0 @t5))) % 0.52/0.72 (define @t81 () (and @t15 @t62)) % 0.52/0.72 (define @t82 () (forall @t18 (=> @t81 @t80))) % 0.52/0.72 (define @t83 () (tptp.u1_struct_0 @t1)) % 0.52/0.72 (define @t84 () (and @t46 @t43 @t39)) % 0.52/0.72 (define @t85 () (tptp.r3_lattices @t2 @t1 @t29)) % 0.52/0.72 (define @t86 () (and @t15 @t26 @t25 @t24 @t12 @t9 @t54)) % 0.52/0.72 (define @t87 () (tptp.m1_subset_1 @t2 @t1)) % 0.52/0.72 (define @t88 () (tptp.r2_hidden @t1 (tptp.k18_filter_2 @t2 @t29))) % 0.52/0.72 (define @t89 () (=> @t54 (= @t88 @t85))) % 0.52/0.72 (define @t90 () (forall @t41 @t89)) % 0.52/0.72 (define @t91 () (=> @t9 @t90)) % 0.52/0.72 (define @t92 () (forall @t10 @t91)) % 0.52/0.72 (define @t93 () (=> @t16 @t92)) % 0.52/0.72 (define @t94 () (forall @t18 @t93)) % 0.52/0.72 (define @t95 () (= @t2 @t1)) % 0.52/0.72 (define @t96 () (tptp.r3_lattices @t2 @t3 @t1)) % 0.52/0.72 (define @t97 () (forall @t10 (=> @t9 @t96))) % 0.52/0.72 (define @t98 () (and @t15 @t13 @t7 @t12)) % 0.52/0.72 (define @t99 () (=> @t98 @t97)) % 0.52/0.72 (define @t100 () (forall @t18 @t99)) % 0.52/0.72 (define @t101 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t29))) % 0.52/0.72 (define @t102 () (= (tptp.r2_hidden @t30 @t52) (and (tptp.r3_lattices @t2 @t1 @t30) (tptp.r3_lattices @t2 @t30 @t29)))) % 0.52/0.72 (define @t103 () (=> @t85 @t102)) % 0.52/0.72 (define @t104 () (tptp.m1_subset_1 @t30 @t5)) % 0.52/0.72 (define @t105 () (forall @t34 (=> @t104 @t103))) % 0.52/0.72 (define @t106 () (=> @t54 @t105)) % 0.52/0.72 (define @t107 () (forall @t41 @t106)) % 0.52/0.72 (define @t108 () (=> @t9 @t107)) % 0.52/0.72 (define @t109 () (forall @t10 @t108)) % 0.52/0.72 (define @t110 () (=> @t16 @t109)) % 0.52/0.72 (define @t111 () (forall @t18 @t110)) % 0.52/0.72 (define @t112 () (@var "BOUND_VARIABLE_7801" $$unsorted)) % 0.52/0.72 (define @t113 () (@var "BOUND_VARIABLE_7799" $$unsorted)) % 0.52/0.72 (define @t114 () (not @t33)) % 0.52/0.72 (define @t115 () (= (tptp.r1_filter_2 @t2 @t113 @t112) (forall @t34 (or @t114 (= (tptp.r2_hidden @t30 @t113) (tptp.r2_hidden @t30 @t112)))))) % 0.52/0.72 (define @t116 () (not (tptp.m1_subset_1 @t112 @t38))) % 0.52/0.72 (define @t117 () (not (tptp.m1_subset_1 @t113 @t38))) % 0.52/0.72 (define @t118 () (or @t117 @t116 @t115)) % 0.52/0.72 (define @t119 () (or @t23 @t118)) % 0.52/0.72 (define @t120 () (forall (@list @t2 @t113 @t112) @t119)) % 0.52/0.72 (define @t121 () (@list @t113 @t112)) % 0.52/0.72 (define @t122 () (forall @t121 @t119)) % 0.52/0.72 (define @t123 () (forall @t121 @t118)) % 0.52/0.72 (define @t124 () (@var "BOUND_VARIABLE_7779" $$unsorted)) % 0.52/0.72 (define @t125 () (or @t23 @t123)) % 0.52/0.72 (define @t126 () (= (tptp.r1_filter_2 @t2 @t1 @t124) (forall @t34 (or @t114 (= @t31 (tptp.r2_hidden @t30 @t124)))))) % 0.52/0.72 (define @t127 () (not (tptp.m1_subset_1 @t124 @t38))) % 0.52/0.72 (define @t128 () (not @t43)) % 0.52/0.72 (define @t129 () (or @t128 @t127 @t126)) % 0.52/0.72 (define @t130 () (@list @t1 @t124)) % 0.52/0.72 (define @t131 () (forall @t130 @t129)) % 0.52/0.72 (define @t132 () (or @t127 @t126)) % 0.52/0.72 (define @t133 () (or @t128 @t132)) % 0.52/0.72 (define @t134 () (forall @t130 @t133)) % 0.52/0.72 (define @t135 () (@list @t124)) % 0.52/0.72 (define @t136 () (forall @t135 @t133)) % 0.52/0.72 (define @t137 () (forall @t135 @t132)) % 0.52/0.72 (define @t138 () (@list @t29)) % 0.52/0.72 (define @t139 () (or @t128 @t137)) % 0.52/0.72 (define @t140 () (= @t36 (forall @t34 (or @t114 @t32)))) % 0.52/0.72 (define @t141 () (forall @t41 (or (not @t39) @t140))) % 0.52/0.72 (define @t142 () (@var "BOUND_VARIABLE_7725" $$unsorted)) % 0.52/0.72 (define @t143 () (tptp.r1_filter_2 @t5 (tptp.k18_filter_2 @t2 @t142) (tptp.k22_filter_2 @t2 @t3 @t142))) % 0.52/0.72 (define @t144 () (not (tptp.m1_subset_1 @t142 @t5))) % 0.52/0.72 (define @t145 () (not @t7)) % 0.52/0.72 (define @t146 () (not @t12)) % 0.52/0.72 (define @t147 () (not @t13)) % 0.52/0.72 (define @t148 () (or @t14 @t147 @t146 @t145 @t144 @t143)) % 0.52/0.72 (define @t149 () (@list @t2 @t142)) % 0.52/0.72 (define @t150 () (forall @t149 @t148)) % 0.52/0.72 (define @t151 () (@quantifiers_skolemize @t150 1)) % 0.52/0.72 (define @t152 () (@quantifiers_skolemize @t150 0)) % 0.52/0.72 (define @t153 () (tptp.k5_lattices @t152)) % 0.52/0.72 (define @t154 () (tptp.k22_filter_2 @t152 @t153 @t151)) % 0.52/0.72 (define @t155 () (tptp.k18_filter_2 @t152 @t151)) % 0.52/0.72 (define @t156 () (tptp.u1_struct_0 @t152)) % 0.52/0.72 (define @t157 () (@var "BOUND_VARIABLE_7897" $$unsorted)) % 0.52/0.72 (define @t158 () (tptp.m1_subset_1 @t157 @t75)) % 0.52/0.72 (define @t159 () (not (tptp.m2_lattice4 @t157 @t2))) % 0.52/0.72 (define @t160 () (or @t159 @t158)) % 0.52/0.72 (define @t161 () (or @t14 @t147 @t146 @t160)) % 0.52/0.72 (define @t162 () (forall (@list @t2 @t157) @t161)) % 0.52/0.72 (define @t163 () (@list @t157)) % 0.52/0.72 (define @t164 () (forall @t163 @t161)) % 0.52/0.72 (define @t165 () (forall @t163 @t160)) % 0.52/0.72 (define @t166 () (@list @t1)) % 0.52/0.72 (define @t167 () (or @t14 @t147 @t146 @t165)) % 0.52/0.72 (define @t168 () (forall @t10 (or (not @t67) @t76))) % 0.52/0.72 (define @t169 () (or @t14 @t147 @t146 @t168)) % 0.52/0.72 (define @t170 () (or @t14 @t147 @t146)) % 0.52/0.72 (define @t171 () (not @t15)) % 0.52/0.72 (define @t172 () (or @t171 @t147 @t146)) % 0.52/0.72 (define @t173 () (not @t16)) % 0.52/0.72 (define @t174 () (not @t54)) % 0.52/0.72 (define @t175 () (not @t9)) % 0.52/0.72 (define @t176 () (or @t171 @t147 @t146 @t175 @t174)) % 0.52/0.72 (define @t177 () (not @t59)) % 0.52/0.72 (define @t178 () (@list @t152)) % 0.52/0.72 (define @t179 () (or @t144 @t143)) % 0.52/0.72 (define @t180 () (or @t14 @t147 @t146 @t145 @t179)) % 0.52/0.72 (define @t181 () (forall @t149 @t180)) % 0.52/0.72 (define @t182 () (@list @t142)) % 0.52/0.72 (define @t183 () (forall @t182 @t180)) % 0.52/0.72 (define @t184 () (forall @t182 @t179)) % 0.52/0.72 (define @t185 () (or @t14 @t147 @t146 @t145 @t184)) % 0.52/0.72 (define @t186 () (or @t175 @t6)) % 0.52/0.72 (define @t187 () (forall @t10 @t186)) % 0.52/0.72 (define @t188 () (or @t14 @t147 @t146 @t145 @t187)) % 0.52/0.72 (define @t189 () (or @t145 @t187)) % 0.52/0.72 (define @t190 () (or @t145 @t186)) % 0.52/0.72 (define @t191 () (or @t175 @t145 @t6)) % 0.52/0.72 (define @t192 () (tptp.l3_lattices @t152)) % 0.52/0.72 (define @t193 () (tptp.r1_filter_2 @t156 @t155 @t154)) % 0.52/0.72 (define @t194 () (tptp.m1_subset_1 @t151 @t156)) % 0.52/0.72 (define @t195 () (not @t194)) % 0.52/0.72 (define @t196 () (tptp.v13_lattices @t152)) % 0.52/0.72 (define @t197 () (not @t196)) % 0.52/0.72 (define @t198 () (not @t192)) % 0.52/0.72 (define @t199 () (tptp.v10_lattices @t152)) % 0.52/0.72 (define @t200 () (not @t199)) % 0.52/0.72 (define @t201 () (tptp.v3_struct_0 @t152)) % 0.52/0.72 (define @t202 () (or @t201 @t200 @t198 @t197 @t195 @t193)) % 0.52/0.72 (define @t203 () (@list true)) % 0.52/0.72 (define @t204 () (@list @t202)) % 0.52/0.72 (define @t205 () (tptp.l1_lattices @t152)) % 0.52/0.72 (define @t206 () (and @t205 (tptp.l2_lattices @t152))) % 0.52/0.72 (define @t207 () (or @t198 @t206)) % 0.52/0.72 (define @t208 () (@list false false)) % 0.52/0.72 (define @t209 () (@list false)) % 0.52/0.72 (define @t210 () (tptp.m1_subset_1 @t153 @t156)) % 0.52/0.72 (define @t211 () (not @t205)) % 0.52/0.72 (define @t212 () (or @t201 @t211 @t210)) % 0.52/0.72 (define @t213 () (@list true false false)) % 0.52/0.72 (define @t214 () (tptp.m2_lattice4 @t154 @t152)) % 0.52/0.72 (define @t215 () (and (not (tptp.v1_xboole_0 @t154)) @t214)) % 0.52/0.72 (define @t216 () (not @t210)) % 0.52/0.72 (define @t217 () (or @t201 @t200 @t198 @t216 @t195 @t215)) % 0.52/0.72 (define @t218 () (@list true false false false false false)) % 0.52/0.72 (define @t219 () (tptp.k1_zfmisc_1 @t156)) % 0.52/0.72 (define @t220 () (tptp.m1_subset_1 @t154 @t219)) % 0.52/0.72 (define @t221 () (not @t214)) % 0.52/0.72 (define @t222 () (or @t201 @t200 @t198 @t221 @t220)) % 0.52/0.72 (define @t223 () (@list true false false false false)) % 0.52/0.72 (define @t224 () (@list @t152 @t155)) % 0.52/0.72 (define @t225 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 0.52/0.72 (define @t226 () (and (not (tptp.v1_xboole_0 @t225)) (tptp.m2_lattice4 @t225 @t2))) % 0.52/0.72 (define @t227 () (not (tptp.m2_filter_2 @t225 @t2))) % 0.52/0.72 (define @t228 () (or @t227 @t226)) % 0.52/0.72 (define @t229 () (or @t14 @t147 @t146 @t228)) % 0.52/0.72 (define @t230 () (forall (@list @t2 @t225) @t229)) % 0.52/0.72 (define @t231 () (@list @t225)) % 0.52/0.72 (define @t232 () (forall @t231 @t229)) % 0.52/0.72 (define @t233 () (forall @t231 @t228)) % 0.52/0.72 (define @t234 () (or @t14 @t147 @t146 @t233)) % 0.52/0.72 (define @t235 () (forall @t10 (or (not @t71) @t70))) % 0.52/0.72 (define @t236 () (or @t14 @t147 @t146 @t235)) % 0.52/0.72 (define @t237 () (or @t171 @t147 @t146 @t175)) % 0.52/0.72 (define @t238 () (@list @t152 @t151)) % 0.52/0.72 (define @t239 () (tptp.m2_filter_2 @t155 @t152)) % 0.52/0.72 (define @t240 () (or @t201 @t200 @t198 @t195 @t239)) % 0.52/0.72 (define @t241 () (tptp.m2_lattice4 @t155 @t152)) % 0.52/0.72 (define @t242 () (and (not (tptp.v1_xboole_0 @t155)) @t241)) % 0.52/0.72 (define @t243 () (not @t239)) % 0.52/0.72 (define @t244 () (or @t201 @t200 @t198 @t243 @t242)) % 0.52/0.72 (define @t245 () (tptp.m1_subset_1 @t155 @t219)) % 0.52/0.72 (define @t246 () (not @t241)) % 0.52/0.72 (define @t247 () (or @t201 @t200 @t198 @t246 @t245)) % 0.52/0.72 (define @t248 () (not @t62)) % 0.52/0.72 (define @t249 () (tptp.l1_struct_0 @t152)) % 0.52/0.72 (define @t250 () (or @t211 @t249)) % 0.52/0.72 (define @t251 () (tptp.v1_xboole_0 @t156)) % 0.52/0.72 (define @t252 () (not @t251)) % 0.52/0.72 (define @t253 () (not @t249)) % 0.52/0.72 (define @t254 () (or @t201 @t253 @t252)) % 0.52/0.72 (define @t255 () (forall @t34 (or (not (tptp.m1_subset_1 @t30 @t156)) (= (tptp.r2_hidden @t30 @t155) (tptp.r2_hidden @t30 @t154))))) % 0.52/0.72 (define @t256 () (= @t193 @t255)) % 0.52/0.72 (define @t257 () (not @t220)) % 0.52/0.72 (define @t258 () (not @t245)) % 0.52/0.72 (define @t259 () (or @t251 @t258 @t257 @t256)) % 0.52/0.72 (define @t260 () (not @t255)) % 0.52/0.72 (define @t261 () (@quantifiers_skolemize @t255 0)) % 0.52/0.72 (define @t262 () (tptp.r2_hidden @t261 @t154)) % 0.52/0.72 (define @t263 () (tptp.r2_hidden @t261 @t155)) % 0.52/0.72 (define @t264 () (= @t263 @t262)) % 0.52/0.72 (define @t265 () (tptp.m1_subset_1 @t261 @t156)) % 0.52/0.72 (define @t266 () (not @t265)) % 0.52/0.72 (define @t267 () (or @t266 @t264)) % 0.52/0.72 (define @t268 () (@list @t267)) % 0.52/0.72 (define @t269 () (@var "BOUND_VARIABLE_8204" $$unsorted)) % 0.52/0.72 (define @t270 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 0.52/0.72 (define @t271 () (@var "BOUND_VARIABLE_8202" $$unsorted)) % 0.52/0.72 (define @t272 () (= (tptp.r2_hidden @t270 (tptp.k22_filter_2 @t2 @t271 @t269)) (and (tptp.r3_lattices @t2 @t271 @t270) (tptp.r3_lattices @t2 @t270 @t269)))) % 0.52/0.72 (define @t273 () (not (tptp.m1_subset_1 @t270 @t5))) % 0.52/0.72 (define @t274 () (not (tptp.r3_lattices @t2 @t271 @t269))) % 0.52/0.72 (define @t275 () (not (tptp.m1_subset_1 @t269 @t5))) % 0.52/0.72 (define @t276 () (not (tptp.m1_subset_1 @t271 @t5))) % 0.52/0.72 (define @t277 () (or @t276 @t275 @t274 @t273 @t272)) % 0.52/0.72 (define @t278 () (or @t14 @t147 @t146 @t277)) % 0.52/0.72 (define @t279 () (forall (@list @t2 @t271 @t269 @t270) @t278)) % 0.52/0.72 (define @t280 () (@list @t271 @t269 @t270)) % 0.52/0.72 (define @t281 () (forall @t280 @t278)) % 0.52/0.72 (define @t282 () (forall @t280 @t277)) % 0.52/0.72 (define @t283 () (@var "BOUND_VARIABLE_8178" $$unsorted)) % 0.52/0.72 (define @t284 () (@var "BOUND_VARIABLE_8176" $$unsorted)) % 0.52/0.72 (define @t285 () (or @t14 @t147 @t146 @t282)) % 0.52/0.72 (define @t286 () (= (tptp.r2_hidden @t283 (tptp.k22_filter_2 @t2 @t1 @t284)) (and (tptp.r3_lattices @t2 @t1 @t283) (tptp.r3_lattices @t2 @t283 @t284)))) % 0.52/0.72 (define @t287 () (not (tptp.m1_subset_1 @t283 @t5))) % 0.52/0.72 (define @t288 () (not (tptp.r3_lattices @t2 @t1 @t284))) % 0.52/0.72 (define @t289 () (not (tptp.m1_subset_1 @t284 @t5))) % 0.52/0.72 (define @t290 () (or @t175 @t289 @t288 @t287 @t286)) % 0.52/0.72 (define @t291 () (@list @t1 @t284 @t283)) % 0.52/0.72 (define @t292 () (forall @t291 @t290)) % 0.52/0.72 (define @t293 () (or @t14 @t147 @t146 @t292)) % 0.52/0.72 (define @t294 () (or @t289 @t288 @t287 @t286)) % 0.52/0.72 (define @t295 () (or @t175 @t294)) % 0.52/0.72 (define @t296 () (forall @t291 @t295)) % 0.52/0.72 (define @t297 () (@list @t284 @t283)) % 0.52/0.72 (define @t298 () (forall @t297 @t295)) % 0.52/0.72 (define @t299 () (forall @t297 @t294)) % 0.52/0.72 (define @t300 () (@var "BOUND_VARIABLE_8157" $$unsorted)) % 0.52/0.72 (define @t301 () (or @t175 @t299)) % 0.52/0.72 (define @t302 () (= (tptp.r2_hidden @t300 @t52) (and (tptp.r3_lattices @t2 @t1 @t300) (tptp.r3_lattices @t2 @t300 @t29)))) % 0.52/0.72 (define @t303 () (not (tptp.m1_subset_1 @t300 @t5))) % 0.52/0.72 (define @t304 () (not @t85)) % 0.52/0.72 (define @t305 () (or @t174 @t304 @t303 @t302)) % 0.52/0.72 (define @t306 () (@list @t29 @t300)) % 0.52/0.72 (define @t307 () (forall @t306 @t305)) % 0.52/0.72 (define @t308 () (or @t303 @t302)) % 0.52/0.72 (define @t309 () (or @t174 @t304 @t308)) % 0.52/0.72 (define @t310 () (forall @t306 @t309)) % 0.52/0.72 (define @t311 () (@list @t300)) % 0.52/0.72 (define @t312 () (forall @t311 @t309)) % 0.52/0.72 (define @t313 () (forall @t311 @t308)) % 0.52/0.72 (define @t314 () (or @t174 @t304 @t313)) % 0.52/0.72 (define @t315 () (not @t104)) % 0.52/0.72 (define @t316 () (or @t315 @t102)) % 0.52/0.72 (define @t317 () (forall @t34 @t316)) % 0.52/0.72 (define @t318 () (or @t174 @t304 @t317)) % 0.52/0.72 (define @t319 () (or @t304 @t317)) % 0.52/0.72 (define @t320 () (or @t304 @t316)) % 0.52/0.72 (define @t321 () (or @t315 @t304 @t102)) % 0.52/0.72 (define @t322 () (@var "BOUND_VARIABLE_8123" $$unsorted)) % 0.52/0.72 (define @t323 () (tptp.r3_lattices @t2 @t3 @t322)) % 0.52/0.72 (define @t324 () (not (tptp.m1_subset_1 @t322 @t5))) % 0.52/0.72 (define @t325 () (or @t324 @t323)) % 0.52/0.72 (define @t326 () (or @t14 @t147 @t145 @t146 @t325)) % 0.52/0.72 (define @t327 () (forall (@list @t2 @t322) @t326)) % 0.52/0.72 (define @t328 () (@list @t322)) % 0.52/0.72 (define @t329 () (forall @t328 @t326)) % 0.52/0.72 (define @t330 () (forall @t328 @t325)) % 0.52/0.72 (define @t331 () (or @t14 @t147 @t145 @t146 @t330)) % 0.52/0.72 (define @t332 () (forall @t10 (or @t175 @t96))) % 0.52/0.72 (define @t333 () (or @t14 @t147 @t145 @t146 @t332)) % 0.52/0.72 (define @t334 () (or @t171 @t147 @t145 @t146)) % 0.52/0.72 (define @t335 () (tptp.r3_lattices @t152 @t153 @t151)) % 0.52/0.72 (define @t336 () (or @t201 @t200 @t197 @t198 @t195 @t335)) % 0.52/0.72 (define @t337 () (tptp.r3_lattices @t152 @t261 @t151)) % 0.52/0.72 (define @t338 () (tptp.r3_lattices @t152 @t153 @t261)) % 0.52/0.72 (define @t339 () (and @t338 @t337)) % 0.52/0.72 (define @t340 () (= @t262 @t339)) % 0.52/0.72 (define @t341 () (not @t335)) % 0.52/0.72 (define @t342 () (or @t201 @t200 @t198 @t216 @t195 @t341 @t266 @t340)) % 0.52/0.72 (define @t343 () (not @t340)) % 0.52/0.72 (define @t344 () (or @t201 @t200 @t197 @t198 @t266 @t338)) % 0.52/0.72 (define @t345 () (not @t337)) % 0.52/0.72 (define @t346 () (@var "BOUND_VARIABLE_8090" $$unsorted)) % 0.52/0.72 (define @t347 () (@var "BOUND_VARIABLE_8088" $$unsorted)) % 0.52/0.72 (define @t348 () (= (tptp.r3_lattices @t2 @t347 @t346) (tptp.r2_hidden @t347 (tptp.k18_filter_2 @t2 @t346)))) % 0.52/0.72 (define @t349 () (not (tptp.m1_subset_1 @t346 @t5))) % 0.52/0.72 (define @t350 () (not (tptp.m1_subset_1 @t347 @t5))) % 0.52/0.72 (define @t351 () (or @t14 @t147 @t146 @t350 @t349 @t348)) % 0.52/0.72 (define @t352 () (or @t350 @t349 @t348)) % 0.52/0.72 (define @t353 () (or @t14 @t147 @t146 @t352)) % 0.52/0.72 (define @t354 () (@list @t2 @t347 @t346)) % 0.52/0.72 (define @t355 () (forall @t354 @t353)) % 0.52/0.72 (define @t356 () (@list @t347 @t346)) % 0.52/0.72 (define @t357 () (forall @t356 @t353)) % 0.52/0.72 (define @t358 () (forall @t356 @t352)) % 0.52/0.72 (define @t359 () (@var "BOUND_VARIABLE_8070" $$unsorted)) % 0.52/0.72 (define @t360 () (or @t14 @t147 @t146 @t358)) % 0.52/0.72 (define @t361 () (= (tptp.r3_lattices @t2 @t1 @t359) (tptp.r2_hidden @t1 (tptp.k18_filter_2 @t2 @t359)))) % 0.52/0.72 (define @t362 () (not (tptp.m1_subset_1 @t359 @t5))) % 0.52/0.72 (define @t363 () (or @t175 @t362 @t361)) % 0.52/0.72 (define @t364 () (@list @t1 @t359)) % 0.52/0.72 (define @t365 () (forall @t364 @t363)) % 0.52/0.72 (define @t366 () (or @t14 @t147 @t146 @t365)) % 0.52/0.72 (define @t367 () (or @t362 @t361)) % 0.52/0.72 (define @t368 () (or @t175 @t367)) % 0.52/0.72 (define @t369 () (forall @t364 @t368)) % 0.52/0.72 (define @t370 () (@list @t359)) % 0.52/0.72 (define @t371 () (forall @t370 @t368)) % 0.52/0.72 (define @t372 () (forall @t370 @t367)) % 0.52/0.72 (define @t373 () (or @t175 @t372)) % 0.52/0.72 (define @t374 () (= @t85 @t88)) % 0.52/0.72 (define @t375 () (forall @t41 (or @t174 @t374))) % 0.52/0.72 (define @t376 () (or @t201 @t200 @t198 @t266 @t195 (= @t337 @t263))) % 0.52/0.72 (define @t377 () (forall @t354 @t351)) % 0.52/0.72 (define @t378 () (= @t263 @t337)) % 0.52/0.72 (define @t379 () (or @t201 @t200 @t198 @t266 @t195 @t378)) % 0.52/0.72 (define @t380 () (not @t378)) % 0.52/0.72 (define @t381 () (not @t339)) % 0.52/0.72 (assume @p1 @t20) % 0.52/0.72 (assume @p2 (forall @t22 (=> @t21 (not (tptp.r2_hidden @t1 @t2))))) % 0.52/0.72 (assume @p3 (forall @t18 (=> @t23 (tptp.v1_funct_1 @t2)))) % 0.52/0.72 (assume @p4 (forall @t18 (=> @t12 (=> @t28 @t27)))) % 0.52/0.72 (assume @p5 (forall @t18 (=> @t12 (=> @t27 @t28)))) % 0.52/0.72 (assume @p6 @t48) % 0.52/0.72 (assume @p7 (forall @t18 (=> @t16 (forall @t10 (=> @t9 (= @t4 (tptp.a_2_0_filter_2 @t2 @t1))))))) % 0.52/0.72 (assume @p8 @t51) % 0.52/0.72 (assume @p9 true) % 0.52/0.72 (assume @p10 @t57) % 0.52/0.72 (assume @p11 @t61) % 0.52/0.72 (assume @p12 @t63) % 0.52/0.72 (assume @p13 (forall @t18 (=> @t64 @t62))) % 0.52/0.72 (assume @p14 @t66) % 0.52/0.72 (assume @p15 @t74) % 0.52/0.72 (assume @p16 @t79) % 0.52/0.72 (assume @p17 (exists @t18 @t59)) % 0.52/0.72 (assume @p18 (exists @t18 @t62)) % 0.52/0.72 (assume @p19 (exists @t18 @t64)) % 0.52/0.72 (assume @p20 (exists @t18 @t12)) % 0.52/0.72 (assume @p21 (forall @t18 (exists @t10 (tptp.m1_subset_1 @t1 @t2)))) % 0.52/0.72 (assume @p22 (forall @t18 (=> @t16 (exists @t10 @t71)))) % 0.52/0.72 (assume @p23 (forall @t18 (=> @t16 (exists @t10 @t67)))) % 0.52/0.72 (assume @p24 @t82) % 0.52/0.72 (assume @p25 (forall @t18 (not (tptp.v1_xboole_0 @t38)))) % 0.52/0.72 (assume @p26 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.52/0.72 (assume @p27 (forall @t56 (=> (and (not (tptp.v3_struct_0 @t1)) (tptp.v10_lattices @t1) (tptp.l3_lattices @t1) (tptp.m1_subset_1 @t29 @t83)) (= (tptp.r2_hidden @t2 (tptp.a_2_0_filter_2 @t1 @t29)) (exists @t34 (and (tptp.m1_subset_1 @t30 @t83) (= @t2 @t30) (tptp.r3_lattices @t1 @t30 @t29))))))) % 0.52/0.72 (assume @p28 (forall @t18 (=> @t16 (exists @t10 (and @t67 @t69))))) % 0.52/0.72 (assume @p29 (forall @t18 (=> @t46 (exists @t10 (and @t43 @t69))))) % 0.52/0.72 (assume @p30 (exists @t18 @t23)) % 0.52/0.72 (assume @p31 (forall @t18 (exists @t10 (and @t43 @t68)))) % 0.52/0.72 (assume @p32 (exists @t18 @t46)) % 0.52/0.72 (assume @p33 (exists @t18 (and @t62 @t15))) % 0.52/0.72 (assume @p34 (forall @t18 (=> @t81 (exists @t10 (and @t76 @t69))))) % 0.52/0.72 (assume @p35 (forall @t56 (=> @t84 (= @t36 (= @t1 @t29))))) % 0.52/0.72 (assume @p36 (forall @t56 (=> @t86 (= @t85 (tptp.r1_lattices @t2 @t1 @t29))))) % 0.52/0.72 (assume @p37 (forall @t56 (=> @t84 (tptp.r1_filter_2 @t2 @t1 @t1)))) % 0.52/0.72 (assume @p38 (forall @t22 (tptp.r1_tarski @t2 @t2))) % 0.52/0.72 (assume @p39 (forall @t56 (=> @t86 (tptp.r3_lattices @t2 @t1 @t1)))) % 0.52/0.72 (assume @p40 (forall @t56 (=> @t84 (=> @t36 (tptp.r1_filter_2 @t2 @t29 @t1))))) % 0.52/0.72 (assume @p41 (forall @t22 (=> @t21 @t87))) % 0.52/0.72 (assume @p42 @t94) % 0.52/0.72 (assume @p43 (forall @t22 (=> @t87 (or @t68 @t21)))) % 0.52/0.72 (assume @p44 (forall @t22 (=> (forall @t41 (= (tptp.r2_hidden @t29 @t2) (tptp.r2_hidden @t29 @t1))) @t95))) % 0.52/0.72 (assume @p45 (forall @t22 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.52/0.72 (assume @p46 @t100) % 0.52/0.72 (assume @p47 (forall @t56 (=> (and @t21 @t101) (tptp.m1_subset_1 @t2 @t29)))) % 0.52/0.72 (assume @p48 (forall @t56 (not (and @t21 @t101 (tptp.v1_xboole_0 @t29))))) % 0.52/0.72 (assume @p49 @t111) % 0.52/0.72 (assume @p50 (forall @t18 (=> @t23 (= @t2 tptp.k1_xboole_0)))) % 0.52/0.72 (assume @p51 (forall @t22 (not (and @t21 @t68)))) % 0.52/0.72 (assume @p52 (forall @t22 (not (and @t23 (not @t95) @t68)))) % 0.52/0.72 (step @p53 :rule aci_norm :args ((= @t119 (or @t23 @t117 @t116 @t115)))) % 0.52/0.72 (step @p54 :rule cong :premises (@p53) :args (@t120)) % 0.52/0.72 (step @p55 :rule quant-merge-prenex :args ((= (forall @t18 @t122) @t120))) % 0.52/0.72 (step @p56 :rule alpha_equiv :args (@t123 (@list @t113 @t112) (@list @t1 @t124))) % 0.52/0.72 (step @p57 :rule refl :args (@t23)) % 0.52/0.72 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t125)) % 0.52/0.72 (step @p59 :rule quant-miniscope-or :args ((= @t122 @t125))) % 0.52/0.72 (step @p60 :rule trans :premises (@p59 @p58)) % 0.52/0.72 (step @p61 :rule symm :premises (@p60)) % 0.52/0.72 (step @p62 :rule cong :premises (@p61) :args ((forall @t18 (or @t23 @t131)))) % 0.52/0.72 (step @p63 :rule trans :premises (@p62 @p55)) % 0.52/0.72 (step @p64 :rule trans :premises (@p63 @p54)) % 0.52/0.72 (step @p65 :rule refl :args (@t131)) % 0.52/0.72 (step @p66 :rule bool-double-not-elim :args (@t23)) % 0.52/0.72 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t46) @t131))) % 0.52/0.72 (step @p68 :rule bool-impl-elim :args (@t46 @t131)) % 0.52/0.72 (step @p69 :rule trans :premises (@p68 @p67)) % 0.52/0.72 (step @p70 :rule cong :premises (@p69) :args ((forall @t18 (=> @t46 @t131)))) % 0.52/0.72 (step @p71 :rule trans :premises (@p70 @p64)) % 0.52/0.72 (step @p72 :rule aci_norm :args ((= @t133 @t129))) % 0.52/0.72 (step @p73 :rule cong :premises (@p72) :args (@t134)) % 0.52/0.72 (step @p74 :rule quant-merge-prenex :args ((= (forall @t10 @t136) @t134))) % 0.52/0.72 (step @p75 :rule alpha_equiv :args (@t137 (@list @t124) @t138)) % 0.52/0.72 (step @p76 :rule refl :args (@t128)) % 0.52/0.72 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t139)) % 0.52/0.72 (step @p78 :rule quant-miniscope-or :args ((= @t136 @t139))) % 0.52/0.72 (step @p79 :rule trans :premises (@p78 @p77)) % 0.52/0.72 (step 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(@p500) :args ((or @t263 @t262 @t264))) % 0.52/0.72 (step @p502 :rule aci_norm :args ((= @t353 @t351))) % 0.52/0.72 (step @p503 :rule cong :premises (@p502) :args (@t355)) % 0.52/0.72 (step @p504 :rule quant-merge-prenex :args ((= (forall @t18 @t357) @t355))) % 0.52/0.72 (step @p505 :rule alpha_equiv :args (@t358 (@list @t347 @t346) (@list @t1 @t359))) % 0.52/0.72 (step @p506 :rule nary_cong :premises (@p113 @p112 @p111 @p505) :args (@t360)) % 0.52/0.72 (step @p507 :rule quant-miniscope-or :args ((= @t357 @t360))) % 0.52/0.72 (step @p508 :rule trans :premises (@p507 @p506)) % 0.52/0.72 (step @p509 :rule symm :premises (@p508)) % 0.52/0.72 (step @p510 :rule cong :premises (@p509) :args ((forall @t18 @t366))) % 0.52/0.72 (step @p511 :rule trans :premises (@p510 @p504)) % 0.52/0.72 (step @p512 :rule trans :premises (@p511 @p503)) % 0.52/0.72 (step @p513 :rule aci_norm :args ((= (or @t170 @t365) @t366))) % 0.52/0.72 (step @p514 :rule refl :args (@t365)) % 0.52/0.72 (step @p515 :rule nary_cong :premises (@p132 @p514) :args ((or @t173 @t365))) % 0.52/0.72 (step @p516 :rule trans :premises (@p515 @p513)) % 0.52/0.72 (step @p517 :rule bool-impl-elim :args (@t16 @t365)) % 0.52/0.72 (step @p518 :rule trans :premises (@p517 @p516)) % 0.52/0.72 (step @p519 :rule cong :premises (@p518) :args ((forall @t18 (=> @t16 @t365)))) % 0.52/0.72 (step @p520 :rule trans :premises (@p519 @p512)) % 0.52/0.72 (step @p521 :rule aci_norm :args ((= @t368 @t363))) % 0.52/0.72 (step @p522 :rule cong :premises (@p521) :args (@t369)) % 0.52/0.72 (step @p523 :rule quant-merge-prenex :args ((= (forall @t10 @t371) @t369))) % 0.52/0.72 (step @p524 :rule alpha_equiv :args (@t372 (@list @t359) @t138)) % 0.52/0.72 (step @p525 :rule nary_cong :premises (@p150 @p524) :args (@t373)) % 0.52/0.72 (step @p526 :rule quant-miniscope-or :args ((= @t371 @t373))) % 0.52/0.72 (step @p527 :rule trans :premises (@p526 @p525)) % 0.52/0.72 (step @p528 :rule symm :premises (@p527)) % 0.52/0.72 (step @p529 :rule cong :premises (@p528) :args ((forall @t10 (or @t175 @t375)))) % 0.52/0.72 (step @p530 :rule trans :premises (@p529 @p523)) % 0.52/0.72 (step @p531 :rule trans :premises (@p530 @p522)) % 0.52/0.72 (step @p532 :rule bool-impl-elim :args (@t9 @t375)) % 0.52/0.72 (step @p533 :rule cong :premises (@p532) :args ((forall @t10 (=> @t9 @t375)))) % 0.52/0.72 (step @p534 :rule trans :premises (@p533 @p531)) % 0.52/0.72 (step @p535 :rule bool-impl-elim :args (@t54 @t374)) % 0.52/0.72 (step @p536 :rule cong :premises (@p535) :args ((forall @t41 (=> @t54 @t374)))) % 0.52/0.72 (step @p537 :rule eq-symm :args (@t88 @t85)) % 0.52/0.72 (step @p538 :rule cong :premises (@p422 @p537) :args (@t89)) % 0.52/0.72 (step @p539 :rule cong :premises (@p538) :args (@t90)) % 0.52/0.72 (step @p540 :rule trans :premises (@p539 @p536)) % 0.52/0.72 (step @p541 :rule cong :premises (@p426 @p540) :args (@t91)) % 0.52/0.72 (step @p542 :rule cong :premises (@p541) :args (@t92)) % 0.52/0.72 (step @p543 :rule trans :premises (@p542 @p534)) % 0.52/0.72 (step @p544 :rule cong :premises (@p141 @p543) :args (@t93)) % 0.52/0.72 (step @p545 :rule cong :premises (@p544) :args (@t94)) % 0.52/0.72 (step @p546 :rule trans :premises (@p545 @p520)) % 0.52/0.72 (step @p547 :rule eq_resolve :premises (@p42 @p546)) % 0.52/0.72 (step @p548 :rule eq-symm :args (@t337 @t263)) % 0.52/0.72 (step @p549 :rule refl :args (@t195)) % 0.52/0.72 (step @p550 :rule refl :args (@t266)) % 0.52/0.72 (step @p551 :rule refl :args (@t198)) % 0.52/0.72 (step @p552 :rule refl :args (@t200)) % 0.52/0.72 (step @p553 :rule refl :args (@t201)) % 0.52/0.72 (step @p554 :rule nary_cong :premises (@p553 @p552 @p551 @p550 @p549 @p548) :args (@t376)) % 0.52/0.72 (step @p555 :rule refl :args (@t377)) % 0.52/0.72 (step @p556 :rule cong :premises (@p555 @p554) :args ((=> @t377 @t376))) % 0.52/0.72 (assume-push @p581 @t377) % 0.52/0.72 (step @p558 :rule instantiate :premises (@p547) :args ((@list @t152 @t261 @t151))) % 0.52/0.72 (step-pop @p582 :rule scope :premises (@p558)) % 0.52/0.72 (step @p559 :rule process_scope :premises (@p582) :args (@t376)) % 0.52/0.72 (step @p561 :rule eq_resolve :premises (@p559 @p556)) % 0.52/0.72 (step @p562 :rule implies_elim :premises (@p561)) % 0.52/0.72 (step @p563 :rule chain_m_resolution :premises (@p562 @p547) :args (@t379 @t209 (@list @t377))) % 0.52/0.72 (step @p564 :rule cnf_or_pos :args (@t379)) % 0.52/0.72 (step @p565 :rule reordering :premises (@p564) :args ((or @t201 @t200 @t198 @t195 @t266 @t378 (not @t379)))) % 0.52/0.72 (step @p566 :rule chain_m_resolution :premises (@p565 @p241 @p256 @p233 @p250 @p441 @p563) :args (@t378 @t218 (@list @t201 @t199 @t192 @t194 @t265 @t379))) % 0.52/0.72 (step @p567 :rule cnf_equiv_pos1 :args (@t378)) % 0.52/0.72 (step @p568 :rule reordering :premises (@p567) :args ((or (not @t263) @t337 @t380))) % 0.52/0.72 (step @p569 :rule chain_m_resolution :premises (@p568 @p566 @p501 @p358 @p499 @p497 @p493 @p491) :args (@t339 (@list false false true true false true false) (@list @t378 @t263 @t264 @t337 @t338 @t262 @t340))) % 0.52/0.72 (step @p570 :rule cnf_equiv_pos2 :args (@t340)) % 0.52/0.72 (step @p571 :rule reordering :premises (@p570) :args ((or @t262 @t381 @t343))) % 0.52/0.72 (step @p572 :rule chain_m_resolution :premises (@p571 @p569 @p491) :args (@t262 @t208 (@list @t339 @t340))) % 0.52/0.72 (step @p573 :rule cnf_and_pos :args (@t339 1)) % 0.52/0.72 (step @p574 :rule reordering :premises (@p573) :args ((or @t337 @t381))) % 0.52/0.72 (step @p575 :rule chain_m_resolution :premises (@p574 @p569) :args (@t337 @t209 (@list @t339))) % 0.52/0.72 (step @p576 :rule cnf_equiv_pos2 :args (@t378)) % 0.52/0.72 (step @p577 :rule reordering :premises (@p576) :args ((or @t263 @t345 @t380))) % 0.52/0.72 (step @p578 :rule chain_m_resolution :premises (@p577 @p575 @p566) :args (@t263 @t208 (@list @t337 @t378))) % 0.52/0.72 (step @p579 :rule cnf_equiv_neg2 :args (@t264)) % 0.52/0.72 (step @p580 false :rule chain_m_resolution :premises (@p579 @p578 @p572 @p358) :args (false (@list false false true) (@list @t263 @t262 @t264))) % 0.52/0.72 ) % 0.52/0.72 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------