%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU408+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 : n021.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 08:51:39 AM UTC 2026 % Result : Theorem 20.04s 20.22s % Output : Proof 20.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU408+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 17:12:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 20.04/20.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 20.04/20.22 --- Run --no-e-matching --full-saturate-quant at 6... % 20.04/20.22 % SZS status Theorem % 20.04/20.22 % SZS output start Proof % 20.04/20.22 ( % 20.04/20.22 (declare-sort $$unsorted 0) % 20.04/20.22 (declare-const tptp.k1_xboole_0 $$unsorted) % 20.04/20.22 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.k7_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.k1_latsum_1 (-> $$unsorted $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.v1_lattice3 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 20.04/20.22 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 20.04/20.22 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 20.04/20.22 (define @t1 () (@var "B" $$unsorted)) % 20.04/20.22 (define @t2 () (@var "A" $$unsorted)) % 20.04/20.22 (define @t3 () (tptp.k1_latsum_1 @t2 @t1)) % 20.04/20.22 (define @t4 () (tptp.u1_struct_0 @t3)) % 20.04/20.22 (define @t5 () (@var "C" $$unsorted)) % 20.04/20.22 (define @t6 () (tptp.m1_subset_1 @t5 @t4)) % 20.04/20.22 (define @t7 () (tptp.u1_struct_0 @t1)) % 20.04/20.22 (define @t8 () (tptp.r2_hidden @t5 @t7)) % 20.04/20.22 (define @t9 () (@list @t5)) % 20.04/20.22 (define @t10 () (forall @t9 (=> @t8 @t6))) % 20.04/20.22 (define @t11 () (tptp.l1_orders_2 @t1)) % 20.04/20.22 (define @t12 () (tptp.v1_lattice3 @t1)) % 20.04/20.22 (define @t13 () (tptp.v4_orders_2 @t1)) % 20.04/20.22 (define @t14 () (tptp.v3_orders_2 @t1)) % 20.04/20.22 (define @t15 () (tptp.v2_orders_2 @t1)) % 20.04/20.22 (define @t16 () (tptp.v3_struct_0 @t1)) % 20.04/20.22 (define @t17 () (not @t16)) % 20.04/20.22 (define @t18 () (and @t17 @t15 @t14 @t13 @t12 @t11)) % 20.04/20.22 (define @t19 () (=> @t18 @t10)) % 20.04/20.22 (define @t20 () (@list @t1)) % 20.04/20.22 (define @t21 () (forall @t20 @t19)) % 20.04/20.22 (define @t22 () (tptp.l1_orders_2 @t2)) % 20.04/20.22 (define @t23 () (tptp.v1_lattice3 @t2)) % 20.04/20.22 (define @t24 () (tptp.v4_orders_2 @t2)) % 20.04/20.22 (define @t25 () (tptp.v3_orders_2 @t2)) % 20.04/20.22 (define @t26 () (tptp.v2_orders_2 @t2)) % 20.04/20.22 (define @t27 () (tptp.v3_struct_0 @t2)) % 20.04/20.22 (define @t28 () (not @t27)) % 20.04/20.22 (define @t29 () (and @t28 @t26 @t25 @t24 @t23 @t22)) % 20.04/20.22 (define @t30 () (=> @t29 @t21)) % 20.04/20.22 (define @t31 () (@list @t2)) % 20.04/20.22 (define @t32 () (forall @t31 @t30)) % 20.04/20.22 (define @t33 () (not @t32)) % 20.04/20.22 (define @t34 () (tptp.u1_orders_2 @t2)) % 20.04/20.22 (define @t35 () (tptp.u1_struct_0 @t2)) % 20.04/20.22 (define @t36 () (tptp.r2_hidden @t2 @t1)) % 20.04/20.22 (define @t37 () (@list @t2 @t1)) % 20.04/20.22 (define @t38 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t2 @t1)))) % 20.04/20.22 (define @t39 () (@list @t2 @t1 @t5)) % 20.04/20.22 (define @t40 () (tptp.k2_xboole_0 @t1 @t2)) % 20.04/20.22 (define @t41 () (tptp.k2_xboole_0 @t2 @t1)) % 20.04/20.22 (define @t42 () (tptp.u1_orders_2 @t1)) % 20.04/20.22 (define @t43 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t34 @t42) (tptp.k7_relset_1 @t35 @t35 @t7 @t7 @t34 @t42))) % 20.04/20.22 (define @t44 () (tptp.k2_xboole_0 @t35 @t7)) % 20.04/20.22 (define @t45 () (= (= @t5 @t3) (and (= (tptp.u1_struct_0 @t5) @t44) (= (tptp.u1_orders_2 @t5) @t43)))) % 20.04/20.22 (define @t46 () (tptp.l1_orders_2 @t5)) % 20.04/20.22 (define @t47 () (tptp.v1_orders_2 @t5)) % 20.04/20.22 (define @t48 () (and @t47 @t46)) % 20.04/20.22 (define @t49 () (forall @t9 (=> @t48 @t45))) % 20.04/20.22 (define @t50 () (=> @t11 @t49)) % 20.04/20.22 (define @t51 () (forall @t20 @t50)) % 20.04/20.22 (define @t52 () (=> @t22 @t51)) % 20.04/20.22 (define @t53 () (forall @t31 @t52)) % 20.04/20.22 (define @t54 () (@var "D" $$unsorted)) % 20.04/20.22 (define @t55 () (@list @t54)) % 20.04/20.22 (define @t56 () (forall @t39 (= (= @t5 @t41) (forall @t55 (= (tptp.r2_hidden @t54 @t5) (or (tptp.r2_hidden @t54 @t2) (tptp.r2_hidden @t54 @t1))))))) % 20.04/20.22 (define @t57 () (tptp.g1_orders_2 @t2 @t1)) % 20.04/20.22 (define @t58 () (tptp.m1_relset_1 @t1 @t2 @t2)) % 20.04/20.22 (define @t59 () (tptp.v1_orders_2 @t3)) % 20.04/20.22 (define @t60 () (and @t59 (tptp.l1_orders_2 @t3))) % 20.04/20.22 (define @t61 () (and @t22 @t11)) % 20.04/20.22 (define @t62 () (forall @t37 (=> @t61 @t60))) % 20.04/20.22 (define @t63 () (@var "F" $$unsorted)) % 20.04/20.22 (define @t64 () (@var "E" $$unsorted)) % 20.04/20.22 (define @t65 () (tptp.k7_relset_1 @t2 @t1 @t5 @t54 @t64 @t63)) % 20.04/20.22 (define @t66 () (and (tptp.m1_relset_1 @t64 @t2 @t1) (tptp.m1_relset_1 @t63 @t5 @t54))) % 20.04/20.22 (define @t67 () (@list @t2 @t1 @t5 @t54 @t64 @t63)) % 20.04/20.22 (define @t68 () (tptp.l1_struct_0 @t2)) % 20.04/20.22 (define @t69 () (tptp.m2_relset_1 @t5 @t2 @t1)) % 20.04/20.22 (define @t70 () (tptp.m1_relset_1 @t5 @t2 @t1)) % 20.04/20.22 (define @t71 () (and (not (tptp.v3_struct_0 @t3)) @t59)) % 20.04/20.22 (define @t72 () (and @t28 @t68)) % 20.04/20.22 (define @t73 () (tptp.v1_xboole_0 @t2)) % 20.04/20.22 (define @t74 () (not @t73)) % 20.04/20.22 (define @t75 () (tptp.v1_xboole_0 @t1)) % 20.04/20.22 (define @t76 () (tptp.m1_subset_1 @t2 @t1)) % 20.04/20.22 (define @t77 () (forall @t37 (=> @t36 @t76))) % 20.04/20.22 (define @t78 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5))) % 20.04/20.22 (define @t79 () (@var "BOUND_VARIABLE_7707" $$unsorted)) % 20.04/20.22 (define @t80 () (@var "BOUND_VARIABLE_7709" $$unsorted)) % 20.04/20.22 (define @t81 () (tptp.m1_subset_1 @t80 (tptp.u1_struct_0 (tptp.k1_latsum_1 @t2 @t79)))) % 20.04/20.22 (define @t82 () (not (tptp.r2_hidden @t80 (tptp.u1_struct_0 @t79)))) % 20.04/20.22 (define @t83 () (not (tptp.l1_orders_2 @t79))) % 20.04/20.22 (define @t84 () (not (tptp.v1_lattice3 @t79))) % 20.04/20.22 (define @t85 () (not (tptp.v4_orders_2 @t79))) % 20.04/20.22 (define @t86 () (not (tptp.v3_orders_2 @t79))) % 20.04/20.22 (define @t87 () (not (tptp.v2_orders_2 @t79))) % 20.04/20.22 (define @t88 () (tptp.v3_struct_0 @t79)) % 20.04/20.22 (define @t89 () (not @t22)) % 20.04/20.22 (define @t90 () (not @t23)) % 20.04/20.22 (define @t91 () (not @t24)) % 20.04/20.22 (define @t92 () (not @t25)) % 20.04/20.22 (define @t93 () (not @t26)) % 20.04/20.22 (define @t94 () (or @t27 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81)) % 20.04/20.22 (define @t95 () (@list @t2 @t79 @t80)) % 20.04/20.22 (define @t96 () (forall @t95 @t94)) % 20.04/20.22 (define @t97 () (@quantifiers_skolemize @t96 1)) % 20.04/20.22 (define @t98 () (tptp.u1_struct_0 @t97)) % 20.04/20.22 (define @t99 () (@quantifiers_skolemize @t96 0)) % 20.04/20.22 (define @t100 () (tptp.u1_struct_0 @t99)) % 20.04/20.22 (define @t101 () (tptp.k2_xboole_0 @t100 @t98)) % 20.04/20.22 (define @t102 () (@quantifiers_skolemize @t96 2)) % 20.04/20.22 (define @t103 () (forall @t55 (= (tptp.r2_hidden @t54 @t101) (or (tptp.r2_hidden @t54 @t100) (tptp.r2_hidden @t54 @t98))))) % 20.04/20.22 (define @t104 () (= (= @t101 @t101) @t103)) % 20.04/20.22 (define @t105 () (@list false)) % 20.04/20.22 (define @t106 () (or @t88 @t87 @t86 @t85 @t84 @t83 @t82 @t81)) % 20.04/20.22 (define @t107 () (or @t27 @t93 @t92 @t91 @t90 @t89 @t106)) % 20.04/20.22 (define @t108 () (forall @t95 @t107)) % 20.04/20.22 (define @t109 () (@list @t79 @t80)) % 20.04/20.22 (define @t110 () (forall @t109 @t107)) % 20.04/20.22 (define @t111 () (forall @t109 @t106)) % 20.04/20.22 (define @t112 () (@var "BOUND_VARIABLE_7685" $$unsorted)) % 20.04/20.22 (define @t113 () (or @t27 @t93 @t92 @t91 @t90 @t89 @t111)) % 20.04/20.22 (define @t114 () (tptp.m1_subset_1 @t112 @t4)) % 20.04/20.22 (define @t115 () (not (tptp.r2_hidden @t112 @t7))) % 20.04/20.22 (define @t116 () (not @t11)) % 20.04/20.22 (define @t117 () (not @t12)) % 20.04/20.22 (define @t118 () (not @t13)) % 20.04/20.22 (define @t119 () (not @t14)) % 20.04/20.22 (define @t120 () (not @t15)) % 20.04/20.22 (define @t121 () (or @t16 @t120 @t119 @t118 @t117 @t116 @t115 @t114)) % 20.04/20.22 (define @t122 () (@list @t1 @t112)) % 20.04/20.22 (define @t123 () (forall @t122 @t121)) % 20.04/20.22 (define @t124 () (or @t27 @t93 @t92 @t91 @t90 @t89 @t123)) % 20.04/20.22 (define @t125 () (not @t28)) % 20.04/20.22 (define @t126 () (or @t125 @t93 @t92 @t91 @t90 @t89)) % 20.04/20.22 (define @t127 () (or @t115 @t114)) % 20.04/20.22 (define @t128 () (or @t16 @t120 @t119 @t118 @t117 @t116 @t127)) % 20.04/20.22 (define @t129 () (forall @t122 @t128)) % 20.04/20.22 (define @t130 () (@list @t112)) % 20.04/20.22 (define @t131 () (forall @t130 @t128)) % 20.04/20.22 (define @t132 () (forall @t130 @t127)) % 20.04/20.22 (define @t133 () (@list @t5)) % 20.04/20.22 (define @t134 () (or @t16 @t120 @t119 @t118 @t117 @t116 @t132)) % 20.04/20.22 (define @t135 () (forall @t9 (or (not @t8) @t6))) % 20.04/20.22 (define @t136 () (or @t16 @t120 @t119 @t118 @t117 @t116 @t135)) % 20.04/20.22 (define @t137 () (not @t17)) % 20.04/20.22 (define @t138 () (or @t137 @t120 @t119 @t118 @t117 @t116)) % 20.04/20.22 (define @t139 () (tptp.r2_hidden @t102 @t98)) % 20.04/20.22 (define @t140 () (tptp.k1_latsum_1 @t99 @t97)) % 20.04/20.22 (define @t141 () (tptp.u1_struct_0 @t140)) % 20.04/20.22 (define @t142 () (tptp.m1_subset_1 @t102 @t141)) % 20.04/20.22 (define @t143 () (not @t139)) % 20.04/20.22 (define @t144 () (tptp.l1_orders_2 @t97)) % 20.04/20.22 (define @t145 () (not @t144)) % 20.04/20.22 (define @t146 () (tptp.l1_orders_2 @t99)) % 20.04/20.22 (define @t147 () (not @t146)) % 20.04/20.22 (define @t148 () (or (tptp.v3_struct_0 @t99) (not (tptp.v2_orders_2 @t99)) (not (tptp.v3_orders_2 @t99)) (not (tptp.v4_orders_2 @t99)) (not (tptp.v1_lattice3 @t99)) @t147 (tptp.v3_struct_0 @t97) (not (tptp.v2_orders_2 @t97)) (not (tptp.v3_orders_2 @t97)) (not (tptp.v4_orders_2 @t97)) (not (tptp.v1_lattice3 @t97)) @t145 @t143 @t142)) % 20.04/20.22 (define @t149 () (@list true)) % 20.04/20.22 (define @t150 () (@list @t148)) % 20.04/20.22 (define @t151 () (or (tptp.r2_hidden @t102 @t100) @t139)) % 20.04/20.22 (define @t152 () (tptp.r2_hidden @t102 @t101)) % 20.04/20.22 (define @t153 () (= @t152 @t151)) % 20.04/20.22 (define @t154 () (@list false false)) % 20.04/20.22 (define @t155 () (tptp.m1_subset_1 @t102 @t101)) % 20.04/20.22 (define @t156 () (not @t152)) % 20.04/20.22 (define @t157 () (or @t156 @t155)) % 20.04/20.22 (define @t158 () (@var "BOUND_VARIABLE_7788" $$unsorted)) % 20.04/20.22 (define @t159 () (tptp.k1_latsum_1 @t2 @t158)) % 20.04/20.23 (define @t160 () (@var "BOUND_VARIABLE_7790" $$unsorted)) % 20.04/20.23 (define @t161 () (tptp.u1_orders_2 @t158)) % 20.04/20.23 (define @t162 () (tptp.u1_struct_0 @t158)) % 20.04/20.23 (define @t163 () (and (= (tptp.k2_xboole_0 @t35 @t162) (tptp.u1_struct_0 @t160)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t34 @t161) (tptp.k7_relset_1 @t35 @t35 @t162 @t162 @t34 @t161)) (tptp.u1_orders_2 @t160)))) % 20.04/20.23 (define @t164 () (= @t159 @t160)) % 20.04/20.23 (define @t165 () (not (tptp.l1_orders_2 @t160))) % 20.04/20.23 (define @t166 () (not (tptp.v1_orders_2 @t160))) % 20.04/20.23 (define @t167 () (not (tptp.l1_orders_2 @t158))) % 20.04/20.23 (define @t168 () (= @t164 @t163)) % 20.04/20.23 (define @t169 () (or @t89 @t167 @t166 @t165 @t168)) % 20.04/20.23 (define @t170 () (or @t167 @t166 @t165 @t168)) % 20.04/20.23 (define @t171 () (or @t89 @t170)) % 20.04/20.23 (define @t172 () (@list @t2 @t158 @t160)) % 20.04/20.23 (define @t173 () (forall @t172 @t171)) % 20.04/20.23 (define @t174 () (@list @t158 @t160)) % 20.04/20.23 (define @t175 () (forall @t174 @t171)) % 20.04/20.23 (define @t176 () (forall @t174 @t170)) % 20.04/20.23 (define @t177 () (@var "BOUND_VARIABLE_7759" $$unsorted)) % 20.04/20.23 (define @t178 () (or @t89 @t176)) % 20.04/20.23 (define @t179 () (tptp.u1_orders_2 @t177)) % 20.04/20.23 (define @t180 () (tptp.u1_struct_0 @t177)) % 20.04/20.23 (define @t181 () (not (tptp.l1_orders_2 @t177))) % 20.04/20.23 (define @t182 () (not (tptp.v1_orders_2 @t177))) % 20.04/20.23 (define @t183 () (@list @t1 @t177)) % 20.04/20.23 (define @t184 () (forall @t183 (or @t116 @t182 @t181 (= (= @t3 @t177) (and (= @t44 @t180) (= @t43 @t179)))))) % 20.04/20.23 (define @t185 () (and (= @t180 @t44) (= @t179 @t43))) % 20.04/20.23 (define @t186 () (= (= @t177 @t3) @t185)) % 20.04/20.23 (define @t187 () (or @t116 @t182 @t181 @t186)) % 20.04/20.23 (define @t188 () (or @t182 @t181 @t186)) % 20.04/20.23 (define @t189 () (or @t116 @t188)) % 20.04/20.23 (define @t190 () (forall @t183 @t189)) % 20.04/20.23 (define @t191 () (@list @t177)) % 20.04/20.23 (define @t192 () (forall @t191 @t189)) % 20.04/20.23 (define @t193 () (forall @t191 @t188)) % 20.04/20.23 (define @t194 () (or @t116 @t193)) % 20.04/20.23 (define @t195 () (not @t46)) % 20.04/20.23 (define @t196 () (not @t47)) % 20.04/20.23 (define @t197 () (or @t196 @t195 @t45)) % 20.04/20.23 (define @t198 () (forall @t9 @t197)) % 20.04/20.23 (define @t199 () (tptp.u1_orders_2 @t97)) % 20.04/20.23 (define @t200 () (tptp.u1_orders_2 @t99)) % 20.04/20.23 (define @t201 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t200 @t199) (tptp.k7_relset_1 @t100 @t100 @t98 @t98 @t200 @t199))) % 20.04/20.23 (define @t202 () (tptp.u1_orders_2 @t140)) % 20.04/20.23 (define @t203 () (= @t141 @t101)) % 20.04/20.23 (define @t204 () (and @t203 (= @t202 @t201))) % 20.04/20.23 (define @t205 () (and (= @t101 @t141) (= @t201 @t202))) % 20.04/20.23 (define @t206 () (= @t140 @t140)) % 20.04/20.23 (define @t207 () (tptp.l1_orders_2 @t140)) % 20.04/20.23 (define @t208 () (not @t207)) % 20.04/20.23 (define @t209 () (tptp.v1_orders_2 @t140)) % 20.04/20.23 (define @t210 () (not @t209)) % 20.04/20.23 (define @t211 () (or @t147 @t145 @t210 @t208 (= @t205 @t206))) % 20.04/20.23 (define @t212 () (forall @t172 (or @t89 @t167 @t166 @t165 (= @t163 (= @t160 @t159))))) % 20.04/20.23 (define @t213 () (or @t147 @t145 @t210 @t208 @t204)) % 20.04/20.23 (define @t214 () (and @t209 @t207)) % 20.04/20.23 (define @t215 () (or @t147 @t145 @t214)) % 20.04/20.23 (define @t216 () (not @t214)) % 20.04/20.23 (define @t217 () (@list @t214)) % 20.04/20.23 (assume @p1 @t33) % 20.04/20.23 (assume @p2 (forall @t31 (=> @t22 (=> (tptp.v1_orders_2 @t2) (= @t2 (tptp.g1_orders_2 @t35 @t34)))))) % 20.04/20.23 (assume @p3 (forall @t37 (=> @t36 (not (tptp.r2_hidden @t1 @t2))))) % 20.04/20.23 (assume @p4 (forall @t39 (=> @t38 (tptp.v1_relat_1 @t5)))) % 20.04/20.23 (assume @p5 (forall @t37 (= @t41 @t40))) % 20.04/20.23 (assume @p6 @t53) % 20.04/20.23 (assume @p7 @t56) % 20.04/20.23 (assume @p8 (forall @t37 (=> @t58 (and (tptp.v1_orders_2 @t57) (tptp.l1_orders_2 @t57))))) % 20.04/20.23 (assume @p9 @t62) % 20.04/20.23 (assume @p10 true) % 20.04/20.23 (assume @p11 (forall @t37 (=> (and (tptp.v1_relat_1 @t2) (tptp.v1_relat_1 @t1)) (tptp.v1_relat_1 (tptp.k5_relat_1 @t2 @t1))))) % 20.04/20.23 (assume @p12 (forall @t67 (=> @t66 (tptp.m2_relset_1 @t65 @t2 @t54)))) % 20.04/20.23 (assume @p13 (forall @t31 (=> @t22 @t68))) % 20.04/20.23 (assume @p14 (forall @t39 (=> @t69 @t38))) % 20.04/20.23 (assume @p15 (forall @t31 (=> @t22 (tptp.m2_relset_1 @t34 @t35 @t35)))) % 20.04/20.23 (assume @p16 (exists @t31 @t22)) % 20.04/20.23 (assume @p17 (exists @t31 @t68)) % 20.04/20.23 (assume @p18 (forall @t37 (exists @t9 @t70))) % 20.04/20.23 (assume @p19 (forall @t31 (exists @t20 (tptp.m1_subset_1 @t1 @t2)))) % 20.04/20.23 (assume @p20 (forall @t37 (exists @t9 @t69))) % 20.04/20.23 (assume @p21 (forall @t37 (=> (and @t22 @t17 @t11) @t71))) % 20.04/20.23 (assume @p22 (forall @t31 (=> @t72 (not (tptp.v1_xboole_0 @t35))))) % 20.04/20.23 (assume @p23 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 20.04/20.23 (assume @p24 (forall @t37 (=> (and @t28 @t22 @t11) @t71))) % 20.04/20.23 (assume @p25 (forall @t37 (=> @t74 (not (tptp.v1_xboole_0 @t41))))) % 20.04/20.23 (assume @p26 (forall @t37 (=> @t74 (not (tptp.v1_xboole_0 @t40))))) % 20.04/20.23 (assume @p27 (forall @t37 (=> @t58 (forall (@list @t5 @t54) (=> (= @t57 (tptp.g1_orders_2 @t5 @t54)) (and (= @t2 @t5) (= @t1 @t54))))))) % 20.04/20.23 (assume @p28 (forall @t37 (= (tptp.k2_xboole_0 @t2 @t2) @t2))) % 20.04/20.23 (assume @p29 (exists @t31 @t73)) % 20.04/20.23 (assume @p30 (exists @t31 @t74)) % 20.04/20.23 (assume @p31 (exists @t31 (and @t68 @t28))) % 20.04/20.23 (assume @p32 (forall @t31 (=> @t72 (exists @t20 (and (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t35)) (not @t75)))))) % 20.04/20.23 (assume @p33 (forall @t67 (=> @t66 (= @t65 (tptp.k5_relat_1 @t64 @t63))))) % 20.04/20.23 (assume @p34 (forall @t39 (= @t69 @t70))) % 20.04/20.23 (assume @p35 (forall @t37 (tptp.r1_tarski @t2 @t2))) % 20.04/20.23 (assume @p36 (forall @t31 (= (tptp.k2_xboole_0 @t2 tptp.k1_xboole_0) @t2))) % 20.04/20.23 (assume @p37 @t77) % 20.04/20.23 (assume @p38 (forall @t37 (=> @t76 (or @t75 @t36)))) % 20.04/20.23 (assume @p39 (forall @t37 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 20.04/20.23 (assume @p40 (forall @t39 (=> (and @t36 @t78) (tptp.m1_subset_1 @t2 @t5)))) % 20.04/20.23 (assume @p41 (forall @t39 (not (and @t36 @t78 (tptp.v1_xboole_0 @t5))))) % 20.04/20.23 (assume @p42 (forall @t31 (=> @t73 (= @t2 tptp.k1_xboole_0)))) % 20.04/20.23 (assume @p43 (forall @t37 (not (and @t36 @t75)))) % 20.04/20.23 (assume @p44 (forall @t37 (not (and @t73 (not (= @t2 @t1)) @t75)))) % 20.04/20.23 (step @p45 :rule evaluate :args ((= false true))) % 20.04/20.23 (step @p46 :rule bool-impl-elim :args (@t36 @t76)) % 20.04/20.23 (step @p47 :rule cong :premises (@p46) :args (@t77)) % 20.04/20.23 (step @p48 :rule eq_resolve :premises (@p37 @p47)) % 20.04/20.23 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t102 @t101))) % 20.04/20.23 (step @p50 :rule bool-eq-true :args (@t103)) % 20.04/20.23 (step @p51 :rule eq-symm :args (true @t103)) % 20.04/20.23 (step @p52 :rule trans :premises (@p51 @p50)) % 20.04/20.23 (step @p53 :rule refl :args (@t103)) % 20.04/20.23 (step @p54 :rule eq-refl :args (@t101)) % 20.04/20.23 (step @p55 :rule cong :premises (@p54 @p53) :args (@t104)) % 20.04/20.23 (step @p56 :rule trans :premises (@p55 @p52)) % 20.04/20.23 (step @p57 :rule refl :args (@t56)) % 20.04/20.23 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t56 @t104))) % 20.04/20.23 (assume-push @p321 @t56) % 20.04/20.23 (step @p60 :rule instantiate :premises (@p7) :args ((@list @t100 @t98 @t101))) % 20.04/20.23 (step-pop @p322 :rule scope :premises (@p60)) % 20.04/20.23 (step @p61 :rule process_scope :premises (@p322) :args (@t104)) % 20.04/20.23 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 20.04/20.23 (step @p64 :rule implies_elim :premises (@p63)) % 20.04/20.23 (step @p65 :rule chain_m_resolution :premises (@p64 @p7) :args (@t103 @t105 (@list @t56))) % 20.04/20.23 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t102))) % 20.04/20.23 (step @p67 :rule aci_norm :args ((= @t107 @t94))) % 20.04/20.23 (step @p68 :rule cong :premises (@p67) :args (@t108)) % 20.04/20.23 (step @p69 :rule quant-merge-prenex :args ((= (forall @t31 @t110) @t108))) % 20.04/20.23 (step @p70 :rule alpha_equiv :args (@t111 (@list @t79 @t80) (@list @t1 @t112))) % 20.04/20.23 (step @p71 :rule refl :args (@t89)) % 20.04/20.23 (step @p72 :rule refl :args (@t90)) % 20.04/20.23 (step @p73 :rule refl :args (@t91)) % 20.04/20.23 (step @p74 :rule refl :args (@t92)) % 20.04/20.23 (step @p75 :rule refl :args (@t93)) % 20.04/20.23 (step @p76 :rule refl :args (@t27)) % 20.04/20.23 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t113)) % 20.04/20.23 (step @p78 :rule quant-miniscope-or :args ((= @t110 @t113))) % 20.04/20.23 (step @p79 :rule trans :premises (@p78 @p77)) % 20.04/20.23 (step @p80 :rule symm :premises (@p79)) % 20.04/20.23 (step @p81 :rule cong :premises (@p80) :args ((forall @t31 @t124))) % 20.04/20.23 (step @p82 :rule trans :premises (@p81 @p69)) % 20.04/20.23 (step @p83 :rule trans :premises (@p82 @p68)) % 20.04/20.23 (step @p84 :rule aci_norm :args ((= (or (or @t27 @t93 @t92 @t91 @t90 @t89) @t123) @t124))) % 20.04/20.23 (step @p85 :rule refl :args (@t123)) % 20.04/20.23 (step @p86 :rule bool-double-not-elim :args (@t27)) % 20.04/20.23 (step @p87 :rule nary_cong :premises (@p86 @p75 @p74 @p73 @p72 @p71) :args (@t126)) % 20.04/20.23 (step @p88 :rule aci_norm :args ((= (or @t125 (or @t93 (or @t92 (or @t91 (or @t90 @t89))))) @t126))) % 20.04/20.23 (step @p89 :rule trans :premises (@p88 @p87)) % 20.04/20.23 (step @p90 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 20.04/20.23 (step @p91 :rule nary_cong :premises (@p73 @p90) :args ((or @t91 (not (and @t23 @t22))))) % 20.04/20.23 (step @p92 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 20.04/20.23 (step @p93 :rule trans :premises (@p92 @p91)) % 20.04/20.23 (step @p94 :rule nary_cong :premises (@p74 @p93) :args ((or @t92 (not (and @t24 @t23 @t22))))) % 20.04/20.23 (step @p95 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23 @t22))) % 20.04/20.23 (step @p96 :rule trans :premises (@p95 @p94)) % 20.04/20.23 (step @p97 :rule nary_cong :premises (@p75 @p96) :args ((or @t93 (not (and @t25 @t24 @t23 @t22))))) % 20.04/20.23 (step @p98 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t23 @t22))) % 20.04/20.23 (step @p99 :rule trans :premises (@p98 @p97)) % 20.04/20.23 (step @p100 :rule refl :args (@t125)) % 20.04/20.23 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t125 (not (and @t26 @t25 @t24 @t23 @t22))))) % 20.04/20.23 (step @p102 :rule bool-and-de-morgan :args (@t28 @t26 (and @t25 @t24 @t23 @t22))) % 20.04/20.23 (step @p103 :rule trans :premises (@p102 @p101)) % 20.04/20.23 (step @p104 :rule trans :premises (@p103 @p89)) % 20.04/20.23 (step @p105 :rule nary_cong :premises (@p104 @p85) :args ((or (not @t29) @t123))) % 20.04/20.23 (step @p106 :rule trans :premises (@p105 @p84)) % 20.04/20.23 (step @p107 :rule bool-impl-elim :args (@t29 @t123)) % 20.04/20.23 (step @p108 :rule trans :premises (@p107 @p106)) % 20.04/20.23 (step @p109 :rule cong :premises (@p108) :args ((forall @t31 (=> @t29 @t123)))) % 20.04/20.23 (step @p110 :rule trans :premises (@p109 @p83)) % 20.04/20.23 (step @p111 :rule aci_norm :args ((= @t128 @t121))) % 20.04/20.23 (step @p112 :rule cong :premises (@p111) :args (@t129)) % 20.04/20.23 (step @p113 :rule quant-merge-prenex :args ((= (forall @t20 @t131) @t129))) % 20.04/20.23 (step @p114 :rule alpha_equiv :args (@t132 (@list @t112) @t133)) % 20.04/20.23 (step @p115 :rule refl :args (@t116)) % 20.04/20.23 (step @p116 :rule refl :args (@t117)) % 20.04/20.23 (step @p117 :rule refl :args (@t118)) % 20.04/20.23 (step @p118 :rule refl :args (@t119)) % 20.04/20.23 (step @p119 :rule refl :args (@t120)) % 20.04/20.23 (step @p120 :rule refl :args (@t16)) % 20.04/20.23 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116 @p115 @p114) :args (@t134)) % 20.04/20.23 (step @p122 :rule quant-miniscope-or :args ((= @t131 @t134))) % 20.04/20.23 (step @p123 :rule trans :premises (@p122 @p121)) % 20.04/20.23 (step @p124 :rule symm :premises (@p123)) % 20.04/20.23 (step @p125 :rule cong :premises (@p124) :args ((forall @t20 @t136))) % 20.04/20.23 (step @p126 :rule trans :premises (@p125 @p113)) % 20.04/20.23 (step @p127 :rule trans :premises (@p126 @p112)) % 20.04/20.23 (step @p128 :rule aci_norm :args ((= (or (or @t16 @t120 @t119 @t118 @t117 @t116) @t135) @t136))) % 20.04/20.23 (step @p129 :rule refl :args (@t135)) % 20.04/20.23 (step @p130 :rule bool-double-not-elim :args (@t16)) % 20.04/20.23 (step @p131 :rule nary_cong :premises (@p130 @p119 @p118 @p117 @p116 @p115) :args (@t138)) % 20.04/20.23 (step @p132 :rule aci_norm :args ((= (or @t137 (or @t120 (or @t119 (or @t118 (or @t117 @t116))))) @t138))) % 20.04/20.23 (step @p133 :rule trans :premises (@p132 @p131)) % 20.04/20.23 (step @p134 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 20.04/20.23 (step @p135 :rule nary_cong :premises (@p117 @p134) :args ((or @t118 (not (and @t12 @t11))))) % 20.04/20.23 (step @p136 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11))) % 20.04/20.23 (step @p137 :rule trans :premises (@p136 @p135)) % 20.04/20.23 (step @p138 :rule nary_cong :premises (@p118 @p137) :args ((or @t119 (not (and @t13 @t12 @t11))))) % 20.04/20.23 (step @p139 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11))) % 20.04/20.23 (step @p140 :rule trans :premises (@p139 @p138)) % 20.04/20.23 (step @p141 :rule nary_cong :premises (@p119 @p140) :args ((or @t120 (not (and @t14 @t13 @t12 @t11))))) % 20.04/20.23 (step @p142 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12 @t11))) % 20.04/20.23 (step @p143 :rule trans :premises (@p142 @p141)) % 20.04/20.23 (step @p144 :rule refl :args (@t137)) % 20.04/20.23 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t137 (not (and @t15 @t14 @t13 @t12 @t11))))) % 20.04/20.23 (step @p146 :rule bool-and-de-morgan :args (@t17 @t15 (and @t14 @t13 @t12 @t11))) % 20.04/20.23 (step @p147 :rule trans :premises (@p146 @p145)) % 20.04/20.23 (step @p148 :rule trans :premises (@p147 @p133)) % 20.04/20.23 (step @p149 :rule nary_cong :premises (@p148 @p129) :args ((or (not @t18) @t135))) % 20.04/20.23 (step @p150 :rule trans :premises (@p149 @p128)) % 20.04/20.23 (step @p151 :rule bool-impl-elim :args (@t18 @t135)) % 20.04/20.23 (step @p152 :rule trans :premises (@p151 @p150)) % 20.04/20.23 (step @p153 :rule cong :premises (@p152) :args ((forall @t20 (=> @t18 @t135)))) % 20.04/20.23 (step @p154 :rule trans :premises (@p153 @p127)) % 20.04/20.23 (step @p155 :rule bool-impl-elim :args (@t8 @t6)) % 20.04/20.23 (step @p156 :rule cong :premises (@p155) :args (@t10)) % 20.04/20.23 (step @p157 :rule refl :args (@t18)) % 20.04/20.23 (step @p158 :rule cong :premises (@p157 @p156) :args (@t19)) % 20.04/20.23 (step @p159 :rule cong :premises (@p158) :args (@t21)) % 20.04/20.23 (step @p160 :rule trans :premises (@p159 @p154)) % 20.04/20.23 (step @p161 :rule refl :args (@t29)) % 20.04/20.23 (step @p162 :rule cong :premises (@p161 @p160) :args (@t30)) % 20.04/20.23 (step @p163 :rule cong :premises (@p162) :args (@t32)) % 20.04/20.23 (step @p164 :rule trans :premises (@p163 @p110)) % 20.04/20.23 (step @p165 :rule cong :premises (@p164) :args (@t33)) % 20.04/20.23 (step @p166 :rule eq_resolve :premises (@p1 @p165)) % 20.04/20.23 (step @p167 :rule skolemize :premises (@p166)) % 20.04/20.23 (step @p168 :rule bool-double-not-elim :args (@t139)) % 20.04/20.23 (step @p169 :rule refl :args (@t148)) % 20.04/20.23 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t148 (not @t143)))) % 20.04/20.23 (step @p171 :rule cnf_or_neg :args (@t148 12)) % 20.04/20.23 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 20.04/20.23 (step @p173 :rule reordering :premises (@p172) :args ((or @t139 @t148))) % 20.04/20.23 (step @p174 :rule chain_m_resolution :premises (@p173 @p167) :args (@t139 @t149 @t150)) % 20.04/20.23 (step @p175 :rule cnf_or_neg :args (@t151 1)) % 20.04/20.23 (step @p176 :rule reordering :premises (@p175) :args ((or @t143 @t151))) % 20.04/20.23 (step @p177 :rule chain_m_resolution :premises (@p176 @p174) :args (@t151 @t105 (@list @t139))) % 20.04/20.23 (step @p178 :rule cnf_equiv_pos2 :args (@t153)) % 20.04/20.23 (step @p179 :rule reordering :premises (@p178) :args ((or @t152 (not @t151) (not @t153)))) % 20.04/20.23 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p66) :args (@t152 @t154 (@list @t151 @t153))) % 20.04/20.23 (step @p181 :rule cnf_or_pos :args (@t157)) % 20.04/20.23 (step @p182 :rule reordering :premises (@p181) :args ((or @t156 @t155 (not @t157)))) % 20.04/20.23 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p49) :args (@t155 @t154 (@list @t152 @t157))) % 20.04/20.23 (step @p184 :rule true_intro :premises (@p183)) % 20.04/20.23 (step @p185 :rule eq-symm :args (@t159 @t160)) % 20.04/20.23 (step @p186 :rule refl :args (@t163)) % 20.04/20.23 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t163 @t164))) % 20.04/20.23 (step @p188 :rule eq-symm :args (@t164 @t163)) % 20.04/20.23 (step @p189 :rule trans :premises (@p188 @p187)) % 20.04/20.23 (step @p190 :rule refl :args (@t165)) % 20.04/20.23 (step @p191 :rule refl :args (@t166)) % 20.04/20.23 (step @p192 :rule refl :args (@t167)) % 20.04/20.23 (step @p193 :rule refl :args (@t89)) % 20.04/20.23 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189) :args (@t169)) % 20.04/20.23 (step @p195 :rule aci_norm :args ((= @t171 @t169))) % 20.04/20.23 (step @p196 :rule trans :premises (@p195 @p194)) % 20.04/20.23 (step @p197 :rule cong :premises (@p196) :args (@t173)) % 20.04/20.23 (step @p198 :rule quant-merge-prenex :args ((= (forall @t31 @t175) @t173))) % 20.04/20.23 (step @p199 :rule alpha_equiv :args (@t176 (@list @t158 @t160) (@list @t1 @t177))) % 20.04/20.23 (step @p200 :rule nary_cong :premises (@p71 @p199) :args (@t178)) % 20.04/20.23 (step @p201 :rule quant-miniscope-or :args ((= @t175 @t178))) % 20.04/20.23 (step @p202 :rule trans :premises (@p201 @p200)) % 20.04/20.23 (step @p203 :rule symm :premises (@p202)) % 20.04/20.23 (step @p204 :rule cong :premises (@p203) :args ((forall @t31 (or @t89 @t184)))) % 20.04/20.23 (step @p205 :rule trans :premises (@p204 @p198)) % 20.04/20.23 (step @p206 :rule trans :premises (@p205 @p197)) % 20.04/20.23 (step @p207 :rule bool-impl-elim :args (@t22 @t184)) % 20.04/20.23 (step @p208 :rule cong :premises (@p207) :args ((forall @t31 (=> @t22 @t184)))) % 20.04/20.23 (step @p209 :rule trans :premises (@p208 @p206)) % 20.04/20.23 (step @p210 :rule eq-symm :args (@t179 @t43)) % 20.04/20.23 (step @p211 :rule eq-symm :args (@t180 @t44)) % 20.04/20.23 (step @p212 :rule nary_cong :premises (@p211 @p210) :args (@t185)) % 20.04/20.23 (step @p213 :rule eq-symm :args (@t177 @t3)) % 20.04/20.23 (step @p214 :rule cong :premises (@p213 @p212) :args (@t186)) % 20.04/20.23 (step @p215 :rule refl :args (@t181)) % 20.04/20.23 (step @p216 :rule refl :args (@t182)) % 20.04/20.23 (step @p217 :rule refl :args (@t116)) % 20.04/20.23 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215 @p214) :args (@t187)) % 20.04/20.23 (step @p219 :rule aci_norm :args ((= @t189 @t187))) % 20.04/20.23 (step @p220 :rule trans :premises (@p219 @p218)) % 20.04/20.23 (step @p221 :rule cong :premises (@p220) :args (@t190)) % 20.04/20.23 (step @p222 :rule quant-merge-prenex :args ((= (forall @t20 @t192) @t190))) % 20.04/20.23 (step @p223 :rule alpha_equiv :args (@t193 (@list @t177) @t133)) % 20.04/20.23 (step @p224 :rule nary_cong :premises (@p115 @p223) :args (@t194)) % 20.04/20.23 (step @p225 :rule quant-miniscope-or :args ((= @t192 @t194))) % 20.04/20.23 (step @p226 :rule trans :premises (@p225 @p224)) % 20.04/20.23 (step @p227 :rule symm :premises (@p226)) % 20.04/20.23 (step @p228 :rule cong :premises (@p227) :args ((forall @t20 (or @t116 @t198)))) % 20.04/20.23 (step @p229 :rule trans :premises (@p228 @p222)) % 20.04/20.23 (step @p230 :rule trans :premises (@p229 @p221)) % 20.04/20.23 (step @p231 :rule bool-impl-elim :args (@t11 @t198)) % 20.04/20.23 (step @p232 :rule cong :premises (@p231) :args ((forall @t20 (=> @t11 @t198)))) % 20.04/20.23 (step @p233 :rule trans :premises (@p232 @p230)) % 20.04/20.23 (step @p234 :rule aci_norm :args ((= (or (or @t196 @t195) @t45) @t197))) % 20.04/20.23 (step @p235 :rule refl :args (@t45)) % 20.04/20.23 (step @p236 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 20.04/20.23 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or (not @t48) @t45))) % 20.04/20.23 (step @p238 :rule trans :premises (@p237 @p234)) % 20.04/20.23 (step @p239 :rule bool-impl-elim :args (@t48 @t45)) % 20.04/20.23 (step @p240 :rule trans :premises (@p239 @p238)) % 20.04/20.23 (step @p241 :rule cong :premises (@p240) :args (@t49)) % 20.04/20.23 (step @p242 :rule refl :args (@t11)) % 20.04/20.23 (step @p243 :rule cong :premises (@p242 @p241) :args (@t50)) % 20.04/20.23 (step @p244 :rule cong :premises (@p243) :args (@t51)) % 20.04/20.23 (step @p245 :rule trans :premises (@p244 @p233)) % 20.04/20.23 (step @p246 :rule refl :args (@t22)) % 20.04/20.23 (step @p247 :rule cong :premises (@p246 @p245) :args (@t52)) % 20.04/20.23 (step @p248 :rule cong :premises (@p247) :args (@t53)) % 20.04/20.23 (step @p249 :rule trans :premises (@p248 @p209)) % 20.04/20.23 (step @p250 :rule eq_resolve :premises (@p6 @p249)) % 20.04/20.23 (step @p251 :rule bool-eq-true :args (@t204)) % 20.04/20.23 (step @p252 :rule eq-symm :args (true @t204)) % 20.04/20.23 (step @p253 :rule trans :premises (@p252 @p251)) % 20.04/20.23 (step @p254 :rule eq-symm :args (@t201 @t202)) % 20.04/20.23 (step @p255 :rule eq-symm :args (@t101 @t141)) % 20.04/20.23 (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t205)) % 20.04/20.23 (step @p257 :rule eq-refl :args (@t140)) % 20.04/20.23 (step @p258 :rule cong :premises (@p257 @p256) :args ((= @t206 @t205))) % 20.04/20.23 (step @p259 :rule trans :premises (@p258 @p253)) % 20.04/20.23 (step @p260 :rule eq-symm :args (@t205 @t206)) % 20.04/20.23 (step @p261 :rule trans :premises (@p260 @p259)) % 20.04/20.23 (step @p262 :rule refl :args (@t208)) % 20.04/20.23 (step @p263 :rule refl :args (@t210)) % 20.04/20.23 (step @p264 :rule refl :args (@t145)) % 20.04/20.23 (step @p265 :rule refl :args (@t147)) % 20.04/20.23 (step @p266 :rule nary_cong :premises (@p265 @p264 @p263 @p262 @p261) :args (@t211)) % 20.04/20.23 (step @p267 :rule refl :args (@t212)) % 20.04/20.23 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t212 @t211))) % 20.04/20.23 (assume-push @p323 @t212) % 20.04/20.23 (step @p270 :rule instantiate :premises (@p250) :args ((@list @t99 @t97 @t140))) % 20.04/20.23 (step-pop @p324 :rule scope :premises (@p270)) % 20.04/20.23 (step @p271 :rule process_scope :premises (@p324) :args (@t211)) % 20.04/20.23 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 20.04/20.23 (step @p274 :rule implies_elim :premises (@p273)) % 20.04/20.23 (step @p275 :rule chain_m_resolution :premises (@p274 @p250) :args (@t213 @t105 (@list @t212))) % 20.04/20.23 (step @p276 :rule aci_norm :args ((= (or (or @t89 @t116) @t60) (or @t89 @t116 @t60)))) % 20.04/20.23 (step @p277 :rule refl :args (@t60)) % 20.04/20.23 (step @p278 :rule bool-and-de-morgan :args (@t22 @t11 true)) % 20.04/20.23 (step @p279 :rule nary_cong :premises (@p278 @p277) :args ((or (not @t61) @t60))) % 20.04/20.23 (step @p280 :rule trans :premises (@p279 @p276)) % 20.04/20.23 (step @p281 :rule bool-impl-elim :args (@t61 @t60)) % 20.04/20.23 (step @p282 :rule trans :premises (@p281 @p280)) % 20.04/20.23 (step @p283 :rule cong :premises (@p282) :args (@t62)) % 20.04/20.23 (step @p284 :rule eq_resolve :premises (@p9 @p283)) % 20.04/20.23 (step @p285 :rule instantiate :premises (@p284) :args ((@list @t99 @t97))) % 20.04/20.23 (step @p286 :rule bool-double-not-elim :args (@t144)) % 20.04/20.23 (step @p287 :rule nary_cong :premises (@p169 @p286) :args ((or @t148 (not @t145)))) % 20.04/20.23 (step @p288 :rule cnf_or_neg :args (@t148 11)) % 20.04/20.23 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 20.04/20.23 (step @p290 :rule reordering :premises (@p289) :args ((or @t144 @t148))) % 20.04/20.23 (step @p291 :rule chain_m_resolution :premises (@p290 @p167) :args (@t144 @t149 @t150)) % 20.04/20.23 (step @p292 :rule bool-double-not-elim :args (@t146)) % 20.04/20.23 (step @p293 :rule nary_cong :premises (@p169 @p292) :args ((or @t148 (not @t147)))) % 20.04/20.23 (step @p294 :rule cnf_or_neg :args (@t148 5)) % 20.04/20.23 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 20.04/20.23 (step @p296 :rule reordering :premises (@p295) :args ((or @t146 @t148))) % 20.04/20.23 (step @p297 :rule chain_m_resolution :premises (@p296 @p167) :args (@t146 @t149 @t150)) % 20.04/20.23 (step @p298 :rule cnf_or_pos :args (@t215)) % 20.04/20.23 (step @p299 :rule reordering :premises (@p298) :args ((or @t147 @t145 @t214 (not @t215)))) % 20.04/20.23 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p291 @p285) :args (@t214 (@list false false false) (@list @t146 @t144 @t215))) % 20.04/20.23 (step @p301 :rule cnf_and_pos :args (@t214 1)) % 20.04/20.23 (step @p302 :rule reordering :premises (@p301) :args ((or @t207 @t216))) % 20.04/20.23 (step @p303 :rule chain_m_resolution :premises (@p302 @p300) :args (@t207 @t105 @t217)) % 20.04/20.23 (step @p304 :rule cnf_and_pos :args (@t214 0)) % 20.04/20.23 (step @p305 :rule reordering :premises (@p304) :args ((or @t209 @t216))) % 20.04/20.23 (step @p306 :rule chain_m_resolution :premises (@p305 @p300) :args (@t209 @t105 @t217)) % 20.04/20.23 (step @p307 :rule cnf_or_pos :args (@t213)) % 20.04/20.23 (step @p308 :rule reordering :premises (@p307) :args ((or @t147 @t145 @t210 @t208 @t204 (not @t213)))) % 20.04/20.23 (step @p309 :rule chain_m_resolution :premises (@p308 @p297 @p291 @p306 @p303 @p275) :args (@t204 (@list false false false false false) (@list @t146 @t144 @t209 @t207 @t213))) % 20.04/20.23 (step @p310 :rule cnf_and_pos :args (@t204 0)) % 20.04/20.23 (step @p311 :rule reordering :premises (@p310) :args ((or @t203 (not @t204)))) % 20.04/20.23 (step @p312 :rule chain_m_resolution :premises (@p311 @p309) :args (@t203 @t105 (@list @t204))) % 20.04/20.23 (step @p313 :rule refl :args (@t102)) % 20.04/20.23 (step @p314 :rule cong :premises (@p313 @p312) :args (@t142)) % 20.04/20.23 (step @p315 :rule cnf_or_neg :args (@t148 13)) % 20.04/20.23 (step @p316 :rule chain_m_resolution :premises (@p315 @p167) :args ((not @t142) @t149 @t150)) % 20.04/20.23 (step @p317 :rule false_intro :premises (@p316)) % 20.04/20.23 (step @p318 :rule symm :premises (@p317)) % 20.04/20.23 (step @p319 :rule trans :premises (@p318 @p314 @p184)) % 20.04/20.23 (step @p320 false :rule eq_resolve :premises (@p319 @p45)) % 20.04/20.23 ) % 20.04/20.23 % SZS output end Proof % 20.04/20.23 % cvc5 exiting %------------------------------------------------------------------------------