%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP047+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 : n011.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 09:15:52 AM UTC 2026 % Result : Theorem 17.12s 17.36s % Output : Proof 17.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : TOP047+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n011.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 01:27:20 EDT 2026 % 0.19/0.35 % CPUTime : % 0.31/0.54 %----Proving TF0_NAR, FOF, or CNF % 17.12/17.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.12/17.36 --- Run --no-e-matching --full-saturate-quant at 6... % 17.12/17.36 % SZS status Theorem % 17.12/17.36 % SZS output start Proof % 17.12/17.36 ( % 17.12/17.36 (declare-sort $$unsorted 0) % 17.12/17.36 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.l1_waybel_0 (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.a_2_1_yellow_6 (-> $$unsorted $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.m4_yellow_6 (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v24_waybel_0 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v25_waybel_0 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.k14_yellow_6 (-> $$unsorted $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.k3_waybel28 (-> $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.u1_pre_topc (-> $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.r1_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v1_pre_topc (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v7_waybel_0 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.k1_xboole_0 $$unsorted) % 17.12/17.36 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v1_yellow_0 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v2_lattice3 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 17.12/17.36 (declare-const tptp.g1_pre_topc (-> $$unsorted $$unsorted $$unsorted)) % 17.12/17.36 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 17.12/17.36 (define @t1 () (@var "B" $$unsorted)) % 17.12/17.36 (define @t2 () (tptp.k14_yellow_6 @t1 (tptp.k3_waybel28 @t1))) % 17.12/17.36 (define @t3 () (@var "A" $$unsorted)) % 17.12/17.36 (define @t4 () (tptp.k3_waybel28 @t3)) % 17.12/17.36 (define @t5 () (tptp.k14_yellow_6 @t3 @t4)) % 17.12/17.36 (define @t6 () (= @t5 @t2)) % 17.12/17.36 (define @t7 () (tptp.u1_struct_0 @t1)) % 17.12/17.36 (define @t8 () (tptp.u1_orders_2 @t3)) % 17.12/17.36 (define @t9 () (tptp.u1_struct_0 @t3)) % 17.12/17.36 (define @t10 () (tptp.g1_orders_2 @t9 @t8)) % 17.12/17.36 (define @t11 () (= @t10 (tptp.g1_orders_2 @t7 (tptp.u1_orders_2 @t1)))) % 17.12/17.36 (define @t12 () (=> @t11 @t6)) % 17.12/17.36 (define @t13 () (tptp.l1_orders_2 @t1)) % 17.12/17.36 (define @t14 () (tptp.v2_lattice3 @t1)) % 17.12/17.36 (define @t15 () (tptp.v25_waybel_0 @t1)) % 17.12/17.36 (define @t16 () (tptp.v24_waybel_0 @t1)) % 17.12/17.36 (define @t17 () (tptp.v4_orders_2 @t1)) % 17.12/17.36 (define @t18 () (tptp.v3_orders_2 @t1)) % 17.12/17.36 (define @t19 () (tptp.v2_orders_2 @t1)) % 17.12/17.36 (define @t20 () (and @t19 @t18 @t17 @t16 @t15 @t14 @t13)) % 17.12/17.36 (define @t21 () (@list @t1)) % 17.12/17.36 (define @t22 () (forall @t21 (=> @t20 @t12))) % 17.12/17.36 (define @t23 () (tptp.l1_orders_2 @t3)) % 17.12/17.36 (define @t24 () (tptp.v2_lattice3 @t3)) % 17.12/17.36 (define @t25 () (tptp.v25_waybel_0 @t3)) % 17.12/17.36 (define @t26 () (tptp.v24_waybel_0 @t3)) % 17.12/17.36 (define @t27 () (tptp.v4_orders_2 @t3)) % 17.12/17.36 (define @t28 () (tptp.v3_orders_2 @t3)) % 17.12/17.36 (define @t29 () (tptp.v2_orders_2 @t3)) % 17.12/17.36 (define @t30 () (and @t29 @t28 @t27 @t26 @t25 @t24 @t23)) % 17.12/17.36 (define @t31 () (=> @t30 @t22)) % 17.12/17.36 (define @t32 () (@list @t3)) % 17.12/17.36 (define @t33 () (forall @t32 @t31)) % 17.12/17.36 (define @t34 () (not @t33)) % 17.12/17.36 (define @t35 () (tptp.v1_orders_2 @t3)) % 17.12/17.36 (define @t36 () (tptp.u1_pre_topc @t3)) % 17.12/17.36 (define @t37 () (tptp.l1_pre_topc @t3)) % 17.12/17.36 (define @t38 () (tptp.r2_hidden @t3 @t1)) % 17.12/17.36 (define @t39 () (@list @t3 @t1)) % 17.12/17.36 (define @t40 () (tptp.v3_struct_0 @t3)) % 17.12/17.36 (define @t41 () (not @t40)) % 17.12/17.36 (define @t42 () (tptp.v1_finset_1 @t3)) % 17.12/17.36 (define @t43 () (tptp.v1_xboole_0 @t3)) % 17.12/17.36 (define @t44 () (tptp.v1_funct_1 @t3)) % 17.12/17.36 (define @t45 () (tptp.v1_relat_1 @t3)) % 17.12/17.36 (define @t46 () (@var "C" $$unsorted)) % 17.12/17.36 (define @t47 () (tptp.k2_zfmisc_1 @t3 @t1)) % 17.12/17.36 (define @t48 () (tptp.m1_subset_1 @t46 (tptp.k1_zfmisc_1 @t47))) % 17.12/17.36 (define @t49 () (@list @t3 @t1 @t46)) % 17.12/17.36 (define @t50 () (tptp.v4_pre_topc @t1 @t3)) % 17.12/17.36 (define @t51 () (tptp.v3_pre_topc @t1 @t3)) % 17.12/17.36 (define @t52 () (tptp.v1_xboole_0 @t1)) % 17.12/17.36 (define @t53 () (tptp.k1_zfmisc_1 @t9)) % 17.12/17.36 (define @t54 () (tptp.m1_subset_1 @t1 @t53)) % 17.12/17.36 (define @t55 () (tptp.v2_pre_topc @t3)) % 17.12/17.36 (define @t56 () (and @t55 @t37)) % 17.12/17.36 (define @t57 () (tptp.v1_finset_1 @t1)) % 17.12/17.36 (define @t58 () (tptp.k1_zfmisc_1 @t3)) % 17.12/17.36 (define @t59 () (tptp.m1_subset_1 @t1 @t58)) % 17.12/17.36 (define @t60 () (and @t45 @t44 (tptp.v2_funct_1 @t3))) % 17.12/17.36 (define @t61 () (and @t45 @t43 @t44)) % 17.12/17.36 (define @t62 () (=> @t24 @t41)) % 17.12/17.36 (define @t63 () (forall @t32 (=> @t23 @t62))) % 17.12/17.36 (define @t64 () (tptp.v2_tops_1 @t1 @t3)) % 17.12/17.36 (define @t65 () (tptp.v3_tops_1 @t1 @t3)) % 17.12/17.36 (define @t66 () (tptp.v5_membered @t1)) % 17.12/17.36 (define @t67 () (tptp.v4_membered @t1)) % 17.12/17.36 (define @t68 () (tptp.v3_membered @t1)) % 17.12/17.36 (define @t69 () (tptp.v2_membered @t1)) % 17.12/17.36 (define @t70 () (tptp.v1_membered @t1)) % 17.12/17.36 (define @t71 () (tptp.m4_yellow_6 @t1 @t3)) % 17.12/17.36 (define @t72 () (tptp.l1_struct_0 @t3)) % 17.12/17.36 (define @t73 () (and @t41 @t72)) % 17.12/17.36 (define @t74 () (tptp.k2_tarski @t3 @t1)) % 17.12/17.36 (define @t75 () (tptp.r1_tarski @t3 @t1)) % 17.12/17.36 (define @t76 () (= @t3 @t1)) % 17.12/17.36 (define @t77 () (tptp.a_2_1_yellow_6 @t3 @t1)) % 17.12/17.36 (define @t78 () (= (tptp.u1_pre_topc @t46) @t77)) % 17.12/17.36 (define @t79 () (tptp.u1_struct_0 @t46)) % 17.12/17.36 (define @t80 () (and (= @t79 @t9) @t78)) % 17.12/17.36 (define @t81 () (tptp.k14_yellow_6 @t3 @t1)) % 17.12/17.36 (define @t82 () (= @t46 @t81)) % 17.12/17.36 (define @t83 () (= @t82 @t80)) % 17.12/17.36 (define @t84 () (tptp.l1_pre_topc @t46)) % 17.12/17.36 (define @t85 () (tptp.v1_pre_topc @t46)) % 17.12/17.36 (define @t86 () (and @t85 @t84)) % 17.12/17.36 (define @t87 () (=> @t86 @t83)) % 17.12/17.36 (define @t88 () (@list @t46)) % 17.12/17.36 (define @t89 () (forall @t88 @t87)) % 17.12/17.36 (define @t90 () (=> @t71 @t89)) % 17.12/17.36 (define @t91 () (forall @t21 @t90)) % 17.12/17.36 (define @t92 () (=> @t73 @t91)) % 17.12/17.36 (define @t93 () (forall @t32 @t92)) % 17.12/17.36 (define @t94 () (tptp.k1_tarski @t3)) % 17.12/17.36 (define @t95 () (tptp.g1_orders_2 @t3 @t1)) % 17.12/17.36 (define @t96 () (tptp.m1_relset_1 @t1 @t3 @t3)) % 17.12/17.36 (define @t97 () (tptp.g1_pre_topc @t3 @t1)) % 17.12/17.36 (define @t98 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t58))) % 17.12/17.36 (define @t99 () (tptp.v1_pre_topc @t81)) % 17.12/17.36 (define @t100 () (and @t99 (tptp.l1_pre_topc @t81))) % 17.12/17.36 (define @t101 () (and @t41 @t72 @t71)) % 17.12/17.36 (define @t102 () (forall @t39 (=> @t101 @t100))) % 17.12/17.36 (define @t103 () (tptp.m4_yellow_6 @t4 @t3)) % 17.12/17.36 (define @t104 () (and @t41 @t23)) % 17.12/17.36 (define @t105 () (forall @t32 (=> @t104 @t103))) % 17.12/17.36 (define @t106 () (forall @t32 (=> @t23 @t72))) % 17.12/17.36 (define @t107 () (tptp.l1_waybel_0 @t1 @t3)) % 17.12/17.36 (define @t108 () (tptp.m2_relset_1 @t46 @t3 @t1)) % 17.12/17.36 (define @t109 () (tptp.m2_relset_1 @t8 @t9 @t9)) % 17.12/17.36 (define @t110 () (forall @t32 (=> @t23 @t109))) % 17.12/17.36 (define @t111 () (tptp.k1_zfmisc_1 @t53)) % 17.12/17.36 (define @t112 () (tptp.m1_relset_1 @t46 @t3 @t1)) % 17.12/17.36 (define @t113 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 17.12/17.36 (define @t114 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 17.12/17.36 (define @t115 () (not (tptp.v1_xboole_0 @t94))) % 17.12/17.36 (define @t116 () (not (tptp.v3_struct_0 @t81))) % 17.12/17.36 (define @t117 () (not (tptp.v1_xboole_0 @t74))) % 17.12/17.36 (define @t118 () (not @t52)) % 17.12/17.36 (define @t119 () (not @t43)) % 17.12/17.36 (define @t120 () (@var "D" $$unsorted)) % 17.12/17.36 (define @t121 () (@var "F" $$unsorted)) % 17.12/17.36 (define @t122 () (@var "E" $$unsorted)) % 17.12/17.36 (define @t123 () (and (= @t3 @t46) (= @t1 @t120))) % 17.12/17.36 (define @t124 () (= @t95 (tptp.g1_orders_2 @t46 @t120))) % 17.12/17.36 (define @t125 () (@list @t46 @t120)) % 17.12/17.36 (define @t126 () (forall @t125 (=> @t124 @t123))) % 17.12/17.36 (define @t127 () (=> @t96 @t126)) % 17.12/17.36 (define @t128 () (forall @t39 @t127)) % 17.12/17.36 (define @t129 () (tptp.u1_pre_topc @t5)) % 17.12/17.36 (define @t130 () (tptp.r1_tarski @t129 (tptp.u1_pre_topc @t2))) % 17.12/17.36 (define @t131 () (=> @t11 @t130)) % 17.12/17.36 (define @t132 () (forall @t21 (=> @t20 @t131))) % 17.12/17.36 (define @t133 () (=> @t30 @t132)) % 17.12/17.36 (define @t134 () (forall @t32 @t133)) % 17.12/17.36 (define @t135 () (tptp.v3_relat_1 @t3)) % 17.12/17.36 (define @t136 () (tptp.m1_subset_1 @t3 @t1)) % 17.12/17.36 (define @t137 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t46))) % 17.12/17.36 (define @t138 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 17.12/17.36 (define @t139 () (tptp.k14_yellow_6 @t3 @t138)) % 17.12/17.36 (define @t140 () (@var "BOUND_VARIABLE_8278" $$unsorted)) % 17.12/17.36 (define @t141 () (= @t140 @t139)) % 17.12/17.36 (define @t142 () (and (= @t9 (tptp.u1_struct_0 @t140)) (= (tptp.a_2_1_yellow_6 @t3 @t138) (tptp.u1_pre_topc @t140)))) % 17.12/17.36 (define @t143 () (= (= @t139 @t140) @t142)) % 17.12/17.36 (define @t144 () (not (tptp.l1_pre_topc @t140))) % 17.12/17.36 (define @t145 () (not (tptp.v1_pre_topc @t140))) % 17.12/17.36 (define @t146 () (not (tptp.m4_yellow_6 @t138 @t3))) % 17.12/17.36 (define @t147 () (not @t72)) % 17.12/17.36 (define @t148 () (or @t40 @t147 @t146 @t145 @t144 @t143)) % 17.12/17.36 (define @t149 () (or @t146 @t145 @t144 @t143)) % 17.12/17.36 (define @t150 () (or @t40 @t147 @t149)) % 17.12/17.36 (define @t151 () (@list @t3 @t138 @t140)) % 17.12/17.36 (define @t152 () (forall @t151 @t150)) % 17.12/17.36 (define @t153 () (@list @t138 @t140)) % 17.12/17.36 (define @t154 () (forall @t153 @t150)) % 17.12/17.36 (define @t155 () (forall @t153 @t149)) % 17.12/17.36 (define @t156 () (@var "BOUND_VARIABLE_8248" $$unsorted)) % 17.12/17.36 (define @t157 () (or @t40 @t147 @t155)) % 17.12/17.36 (define @t158 () (tptp.u1_pre_topc @t156)) % 17.12/17.36 (define @t159 () (= @t9 (tptp.u1_struct_0 @t156))) % 17.12/17.36 (define @t160 () (not (tptp.l1_pre_topc @t156))) % 17.12/17.36 (define @t161 () (not (tptp.v1_pre_topc @t156))) % 17.12/17.36 (define @t162 () (not @t71)) % 17.12/17.36 (define @t163 () (@list @t1 @t156)) % 17.12/17.36 (define @t164 () (forall @t163 (or @t162 @t161 @t160 (= (= @t81 @t156) (and @t159 (= @t77 @t158)))))) % 17.12/17.36 (define @t165 () (or @t40 @t147 @t164)) % 17.12/17.36 (define @t166 () (not @t41)) % 17.12/17.36 (define @t167 () (and @t159 (= @t158 @t77))) % 17.12/17.36 (define @t168 () (= (= @t156 @t81) @t167)) % 17.12/17.36 (define @t169 () (or @t162 @t161 @t160 @t168)) % 17.12/17.36 (define @t170 () (or @t161 @t160 @t168)) % 17.12/17.36 (define @t171 () (or @t162 @t170)) % 17.12/17.36 (define @t172 () (forall @t163 @t171)) % 17.12/17.36 (define @t173 () (@list @t156)) % 17.12/17.36 (define @t174 () (forall @t173 @t171)) % 17.12/17.36 (define @t175 () (forall @t173 @t170)) % 17.12/17.36 (define @t176 () (or @t162 @t175)) % 17.12/17.36 (define @t177 () (= @t82 (and (= @t9 @t79) @t78))) % 17.12/17.36 (define @t178 () (not @t84)) % 17.12/17.36 (define @t179 () (not @t85)) % 17.12/17.36 (define @t180 () (or @t179 @t178 @t177)) % 17.12/17.36 (define @t181 () (forall @t88 @t180)) % 17.12/17.36 (define @t182 () (@var "BOUND_VARIABLE_7955" $$unsorted)) % 17.12/17.36 (define @t183 () (= @t5 (tptp.k14_yellow_6 @t182 (tptp.k3_waybel28 @t182)))) % 17.12/17.36 (define @t184 () (not (= @t10 (tptp.g1_orders_2 (tptp.u1_struct_0 @t182) (tptp.u1_orders_2 @t182))))) % 17.12/17.36 (define @t185 () (not (tptp.l1_orders_2 @t182))) % 17.12/17.36 (define @t186 () (not (tptp.v2_lattice3 @t182))) % 17.12/17.36 (define @t187 () (not (tptp.v25_waybel_0 @t182))) % 17.12/17.36 (define @t188 () (not (tptp.v24_waybel_0 @t182))) % 17.12/17.36 (define @t189 () (not (tptp.v4_orders_2 @t182))) % 17.12/17.36 (define @t190 () (not (tptp.v3_orders_2 @t182))) % 17.12/17.36 (define @t191 () (not (tptp.v2_orders_2 @t182))) % 17.12/17.36 (define @t192 () (not @t23)) % 17.12/17.36 (define @t193 () (not @t24)) % 17.12/17.36 (define @t194 () (not @t25)) % 17.12/17.36 (define @t195 () (not @t26)) % 17.12/17.36 (define @t196 () (not @t27)) % 17.12/17.36 (define @t197 () (not @t28)) % 17.12/17.36 (define @t198 () (not @t29)) % 17.12/17.36 (define @t199 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t184 @t183)) % 17.12/17.36 (define @t200 () (@list @t3 @t182)) % 17.12/17.36 (define @t201 () (forall @t200 @t199)) % 17.12/17.36 (define @t202 () (@quantifiers_skolemize @t201 1)) % 17.12/17.36 (define @t203 () (tptp.k3_waybel28 @t202)) % 17.12/17.36 (define @t204 () (tptp.a_2_1_yellow_6 @t202 @t203)) % 17.12/17.36 (define @t205 () (tptp.k14_yellow_6 @t202 @t203)) % 17.12/17.36 (define @t206 () (tptp.u1_pre_topc @t205)) % 17.12/17.36 (define @t207 () (tptp.u1_struct_0 @t205)) % 17.12/17.36 (define @t208 () (tptp.u1_struct_0 @t202)) % 17.12/17.36 (define @t209 () (= @t208 @t207)) % 17.12/17.36 (define @t210 () (and @t209 (= @t206 @t204))) % 17.12/17.36 (define @t211 () (and @t209 (= @t204 @t206))) % 17.12/17.36 (define @t212 () (= @t211 (= @t205 @t205))) % 17.12/17.36 (define @t213 () (tptp.l1_pre_topc @t205)) % 17.12/17.36 (define @t214 () (not @t213)) % 17.12/17.36 (define @t215 () (tptp.v1_pre_topc @t205)) % 17.12/17.36 (define @t216 () (not @t215)) % 17.12/17.36 (define @t217 () (tptp.m4_yellow_6 @t203 @t202)) % 17.12/17.36 (define @t218 () (not @t217)) % 17.12/17.36 (define @t219 () (tptp.l1_struct_0 @t202)) % 17.12/17.36 (define @t220 () (not @t219)) % 17.12/17.36 (define @t221 () (tptp.v3_struct_0 @t202)) % 17.12/17.36 (define @t222 () (or @t221 @t220 @t218 @t216 @t214 @t212)) % 17.12/17.36 (define @t223 () (forall @t151 (or @t40 @t147 @t146 @t145 @t144 (= @t142 @t141)))) % 17.12/17.36 (define @t224 () (or @t221 @t220 @t218 @t216 @t214 @t210)) % 17.12/17.36 (define @t225 () (@list false)) % 17.12/17.36 (define @t226 () (@list @t223)) % 17.12/17.36 (define @t227 () (or @t166 @t147 @t162)) % 17.12/17.36 (define @t228 () (@list @t202)) % 17.12/17.36 (define @t229 () (or @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t184 @t183)) % 17.12/17.36 (define @t230 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t229)) % 17.12/17.36 (define @t231 () (forall @t200 @t230)) % 17.12/17.36 (define @t232 () (@list @t182)) % 17.12/17.36 (define @t233 () (forall @t232 @t230)) % 17.12/17.36 (define @t234 () (forall @t232 @t229)) % 17.12/17.36 (define @t235 () (@list @t1)) % 17.12/17.36 (define @t236 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t234)) % 17.12/17.36 (define @t237 () (not @t11)) % 17.12/17.36 (define @t238 () (not @t13)) % 17.12/17.36 (define @t239 () (not @t14)) % 17.12/17.36 (define @t240 () (not @t15)) % 17.12/17.36 (define @t241 () (not @t16)) % 17.12/17.36 (define @t242 () (not @t17)) % 17.12/17.36 (define @t243 () (not @t18)) % 17.12/17.36 (define @t244 () (not @t19)) % 17.12/17.36 (define @t245 () (or @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t6)) % 17.12/17.36 (define @t246 () (forall @t21 @t245)) % 17.12/17.36 (define @t247 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t246)) % 17.12/17.36 (define @t248 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192)) % 17.12/17.36 (define @t249 () (not @t30)) % 17.12/17.36 (define @t250 () (or @t244 @t243 @t242 @t241 @t240 @t239 @t238)) % 17.12/17.36 (define @t251 () (not @t20)) % 17.12/17.36 (define @t252 () (tptp.l1_orders_2 @t202)) % 17.12/17.36 (define @t253 () (@quantifiers_skolemize @t201 0)) % 17.12/17.36 (define @t254 () (tptp.k3_waybel28 @t253)) % 17.12/17.36 (define @t255 () (tptp.k14_yellow_6 @t253 @t254)) % 17.12/17.36 (define @t256 () (= @t255 @t205)) % 17.12/17.36 (define @t257 () (tptp.u1_orders_2 @t202)) % 17.12/17.36 (define @t258 () (tptp.g1_orders_2 @t208 @t257)) % 17.12/17.36 (define @t259 () (tptp.u1_orders_2 @t253)) % 17.12/17.36 (define @t260 () (tptp.u1_struct_0 @t253)) % 17.12/17.36 (define @t261 () (tptp.g1_orders_2 @t260 @t259)) % 17.12/17.36 (define @t262 () (= @t261 @t258)) % 17.12/17.36 (define @t263 () (not @t262)) % 17.12/17.36 (define @t264 () (not @t252)) % 17.12/17.36 (define @t265 () (tptp.v2_lattice3 @t202)) % 17.12/17.36 (define @t266 () (not @t265)) % 17.12/17.36 (define @t267 () (tptp.v25_waybel_0 @t202)) % 17.12/17.36 (define @t268 () (not @t267)) % 17.12/17.36 (define @t269 () (tptp.v24_waybel_0 @t202)) % 17.12/17.36 (define @t270 () (not @t269)) % 17.12/17.36 (define @t271 () (tptp.v4_orders_2 @t202)) % 17.12/17.36 (define @t272 () (not @t271)) % 17.12/17.36 (define @t273 () (tptp.v3_orders_2 @t202)) % 17.12/17.36 (define @t274 () (not @t273)) % 17.12/17.36 (define @t275 () (tptp.v2_orders_2 @t202)) % 17.12/17.36 (define @t276 () (not @t275)) % 17.12/17.36 (define @t277 () (tptp.l1_orders_2 @t253)) % 17.12/17.36 (define @t278 () (not @t277)) % 17.12/17.36 (define @t279 () (tptp.v2_lattice3 @t253)) % 17.12/17.36 (define @t280 () (not @t279)) % 17.12/17.36 (define @t281 () (tptp.v25_waybel_0 @t253)) % 17.12/17.36 (define @t282 () (not @t281)) % 17.12/17.36 (define @t283 () (tptp.v24_waybel_0 @t253)) % 17.12/17.36 (define @t284 () (not @t283)) % 17.12/17.36 (define @t285 () (tptp.v4_orders_2 @t253)) % 17.12/17.36 (define @t286 () (not @t285)) % 17.12/17.36 (define @t287 () (tptp.v3_orders_2 @t253)) % 17.12/17.36 (define @t288 () (not @t287)) % 17.12/17.36 (define @t289 () (tptp.v2_orders_2 @t253)) % 17.12/17.36 (define @t290 () (not @t289)) % 17.12/17.36 (define @t291 () (or @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t263 @t256)) % 17.12/17.36 (define @t292 () (@list true)) % 17.12/17.36 (define @t293 () (@list @t291)) % 17.12/17.36 (define @t294 () (not @t221)) % 17.12/17.36 (define @t295 () (or @t264 @t266 @t294)) % 17.12/17.36 (define @t296 () (@list false false false)) % 17.12/17.36 (define @t297 () (or @t221 @t264 @t217)) % 17.12/17.36 (define @t298 () (@list false true false)) % 17.12/17.36 (define @t299 () (or @t264 @t219)) % 17.12/17.36 (define @t300 () (@list false false)) % 17.12/17.36 (define @t301 () (and @t215 @t213)) % 17.12/17.36 (define @t302 () (or @t221 @t220 @t218 @t301)) % 17.12/17.36 (define @t303 () (@list true false false false)) % 17.12/17.36 (define @t304 () (not @t301)) % 17.12/17.36 (define @t305 () (@list @t301)) % 17.12/17.36 (define @t306 () (@list true false false false false false)) % 17.12/17.36 (define @t307 () (@var "BOUND_VARIABLE_8531" $$unsorted)) % 17.12/17.36 (define @t308 () (@var "BOUND_VARIABLE_8529" $$unsorted)) % 17.12/17.36 (define @t309 () (and (= @t3 @t308) (= @t1 @t307))) % 17.12/17.36 (define @t310 () (not (= @t95 (tptp.g1_orders_2 @t308 @t307)))) % 17.12/17.36 (define @t311 () (not @t96)) % 17.12/17.36 (define @t312 () (or @t310 @t309)) % 17.12/17.36 (define @t313 () (or @t311 @t312)) % 17.12/17.36 (define @t314 () (forall (@list @t3 @t1 @t308 @t307) @t313)) % 17.12/17.36 (define @t315 () (@list @t308 @t307)) % 17.12/17.36 (define @t316 () (forall @t315 @t313)) % 17.12/17.36 (define @t317 () (forall @t315 @t312)) % 17.12/17.36 (define @t318 () (or @t311 @t317)) % 17.12/17.36 (define @t319 () (forall @t125 (or (not @t124) @t123))) % 17.12/17.36 (define @t320 () (@list @t253)) % 17.12/17.36 (define @t321 () (tptp.m2_relset_1 @t259 @t260 @t260)) % 17.12/17.36 (define @t322 () (or @t278 @t321)) % 17.12/17.36 (define @t323 () (tptp.m1_relset_1 @t259 @t260 @t260)) % 17.12/17.36 (define @t324 () (= @t321 @t323)) % 17.12/17.36 (define @t325 () (= @t260 @t208)) % 17.12/17.36 (define @t326 () (and @t325 (= @t259 @t257))) % 17.12/17.36 (define @t327 () (not @t323)) % 17.12/17.36 (define @t328 () (or @t327 @t263 @t326)) % 17.12/17.36 (define @t329 () (tptp.a_2_1_yellow_6 @t253 @t254)) % 17.12/17.36 (define @t330 () (tptp.u1_pre_topc @t255)) % 17.12/17.36 (define @t331 () (= @t330 @t329)) % 17.12/17.36 (define @t332 () (= @t260 (tptp.u1_struct_0 @t255))) % 17.12/17.36 (define @t333 () (and @t332 @t331)) % 17.12/17.36 (define @t334 () (and @t332 (= @t329 @t330))) % 17.12/17.36 (define @t335 () (= @t334 (= @t255 @t255))) % 17.12/17.36 (define @t336 () (tptp.l1_pre_topc @t255)) % 17.12/17.36 (define @t337 () (not @t336)) % 17.12/17.36 (define @t338 () (tptp.v1_pre_topc @t255)) % 17.12/17.36 (define @t339 () (not @t338)) % 17.12/17.36 (define @t340 () (tptp.m4_yellow_6 @t254 @t253)) % 17.12/17.36 (define @t341 () (not @t340)) % 17.12/17.36 (define @t342 () (tptp.l1_struct_0 @t253)) % 17.12/17.36 (define @t343 () (not @t342)) % 17.12/17.36 (define @t344 () (tptp.v3_struct_0 @t253)) % 17.12/17.36 (define @t345 () (or @t344 @t343 @t341 @t339 @t337 @t335)) % 17.12/17.36 (define @t346 () (or @t344 @t343 @t341 @t339 @t337 @t333)) % 17.12/17.36 (define @t347 () (not @t344)) % 17.12/17.36 (define @t348 () (or @t278 @t280 @t347)) % 17.12/17.36 (define @t349 () (or @t344 @t278 @t340)) % 17.12/17.36 (define @t350 () (or @t278 @t342)) % 17.12/17.36 (define @t351 () (and @t338 @t336)) % 17.12/17.36 (define @t352 () (or @t344 @t343 @t341 @t351)) % 17.12/17.36 (define @t353 () (not @t351)) % 17.12/17.36 (define @t354 () (@list @t351)) % 17.12/17.36 (define @t355 () (@var "BOUND_VARIABLE_8577" $$unsorted)) % 17.12/17.36 (define @t356 () (tptp.r1_tarski @t129 (tptp.u1_pre_topc (tptp.k14_yellow_6 @t355 (tptp.k3_waybel28 @t355))))) % 17.12/17.36 (define @t357 () (not (= @t10 (tptp.g1_orders_2 (tptp.u1_struct_0 @t355) (tptp.u1_orders_2 @t355))))) % 17.12/17.36 (define @t358 () (not (tptp.l1_orders_2 @t355))) % 17.12/17.36 (define @t359 () (not (tptp.v2_lattice3 @t355))) % 17.12/17.36 (define @t360 () (not (tptp.v25_waybel_0 @t355))) % 17.12/17.36 (define @t361 () (not (tptp.v24_waybel_0 @t355))) % 17.12/17.36 (define @t362 () (not (tptp.v4_orders_2 @t355))) % 17.12/17.36 (define @t363 () (not (tptp.v3_orders_2 @t355))) % 17.12/17.36 (define @t364 () (not (tptp.v2_orders_2 @t355))) % 17.12/17.36 (define @t365 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t357 @t356)) % 17.12/17.36 (define @t366 () (or @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t357 @t356)) % 17.12/17.36 (define @t367 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t366)) % 17.12/17.36 (define @t368 () (@list @t3 @t355)) % 17.12/17.36 (define @t369 () (forall @t368 @t367)) % 17.12/17.36 (define @t370 () (@list @t355)) % 17.12/17.36 (define @t371 () (forall @t370 @t367)) % 17.12/17.36 (define @t372 () (forall @t370 @t366)) % 17.12/17.36 (define @t373 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t372)) % 17.12/17.36 (define @t374 () (or @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t130)) % 17.12/17.36 (define @t375 () (forall @t21 @t374)) % 17.12/17.36 (define @t376 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t375)) % 17.12/17.36 (define @t377 () (tptp.r1_tarski @t206 @t330)) % 17.12/17.36 (define @t378 () (not (= @t258 @t261))) % 17.12/17.36 (define @t379 () (or @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t378 @t377)) % 17.12/17.36 (define @t380 () (forall @t368 @t365)) % 17.12/17.36 (define @t381 () (or @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t263 @t377)) % 17.12/17.36 (define @t382 () (@list false false false false false false false false false false false false false false false false)) % 17.12/17.36 (define @t383 () (tptp.r1_tarski @t330 @t206)) % 17.12/17.36 (define @t384 () (or @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t263 @t383)) % 17.12/17.36 (define @t385 () (and @t383 @t377)) % 17.12/17.36 (define @t386 () (= @t330 @t206)) % 17.12/17.36 (define @t387 () (= @t386 @t385)) % 17.12/17.36 (define @t388 () (= @t206 @t329)) % 17.12/17.36 (define @t389 () (= @t260 @t207)) % 17.12/17.36 (define @t390 () (and @t389 @t388)) % 17.12/17.36 (define @t391 () (and @t389 (= @t329 @t206))) % 17.12/17.36 (define @t392 () (= @t391 (= @t205 @t255))) % 17.12/17.36 (define @t393 () (or @t344 @t343 @t341 @t216 @t214 @t392)) % 17.12/17.36 (define @t394 () (= @t256 @t390)) % 17.12/17.36 (define @t395 () (or @t344 @t343 @t341 @t216 @t214 @t394)) % 17.12/17.36 (define @t396 () (not @t390)) % 17.12/17.36 (define @t397 () (@list true false)) % 17.12/17.36 (assume @p1 @t34) % 17.12/17.36 (assume @p2 (forall @t32 (=> @t23 (=> @t35 (= @t3 @t10))))) % 17.12/17.36 (assume @p3 (forall @t32 (=> @t37 (=> (tptp.v1_pre_topc @t3) (= @t3 (tptp.g1_pre_topc @t9 @t36)))))) % 17.12/17.36 (assume @p4 (forall @t39 (=> @t38 (not (tptp.r2_hidden @t1 @t3))))) % 17.12/17.36 (assume @p5 (forall @t32 (=> @t23 (=> (and @t41 @t29 @t25) (and @t41 @t29 (tptp.v1_yellow_0 @t3)))))) % 17.12/17.36 (assume @p6 (forall @t32 (=> @t23 (=> (and @t41 @t29 @t27 @t25) (and @t41 @t29 @t27 @t24))))) % 17.12/17.36 (assume @p7 (forall @t32 (=> @t43 @t42))) % 17.12/17.36 (assume @p8 (forall @t32 (=> @t43 @t44))) % 17.12/17.36 (assume @p9 (forall @t32 (=> @t43 @t45))) % 17.12/17.36 (assume @p10 (forall @t49 (=> @t48 (tptp.v1_relat_1 @t46)))) % 17.12/17.36 (assume @p11 (forall @t32 (=> @t56 (forall @t21 (=> @t54 (=> @t52 (and @t51 @t50))))))) % 17.12/17.36 (assume @p12 (forall @t32 (=> @t42 (forall @t21 (=> @t59 @t57))))) % 17.12/17.36 (assume @p13 (forall @t32 (=> @t61 @t60))) % 17.12/17.36 (assume @p14 @t63) % 17.12/17.36 (assume @p15 (forall @t32 (=> @t37 (forall @t21 (=> @t54 (=> @t52 @t64)))))) % 17.12/17.36 (assume @p16 (forall @t32 (=> @t56 (forall @t21 (=> @t54 (=> @t52 @t65)))))) % 17.12/17.36 (assume @p17 (forall @t32 (=> @t56 (forall @t21 (=> @t54 (=> @t65 @t64)))))) % 17.12/17.36 (assume @p18 (forall @t32 (=> @t56 (forall @t21 (=> @t54 (=> (and @t50 @t64) (and @t64 @t65))))))) % 17.12/17.36 (assume @p19 (forall @t32 (=> @t56 (forall @t21 (=> @t54 (=> (and @t51 @t65) (and @t52 @t51 @t50 @t70 @t69 @t68 @t67 @t66 @t64 @t65))))))) % 17.12/17.36 (assume @p20 (forall @t32 (=> @t73 (forall @t21 (=> @t71 (tptp.v1_relat_1 @t1)))))) % 17.12/17.36 (assume @p21 (forall @t39 (= @t74 (tptp.k2_tarski @t1 @t3)))) % 17.12/17.36 (assume @p22 (forall @t39 (= @t76 (and @t75 (tptp.r1_tarski @t1 @t3))))) % 17.12/17.36 (assume @p23 @t93) % 17.12/17.36 (assume @p24 (forall @t39 (= (tptp.k4_tarski @t3 @t1) (tptp.k2_tarski @t74 @t94)))) % 17.12/17.36 (assume @p25 (forall @t39 (=> @t96 (and (tptp.v1_orders_2 @t95) (tptp.l1_orders_2 @t95))))) % 17.12/17.36 (assume @p26 (forall @t39 (=> @t98 (and (tptp.v1_pre_topc @t97) (tptp.l1_pre_topc @t97))))) % 17.12/17.36 (assume @p27 @t102) % 17.12/17.36 (assume @p28 true) % 17.12/17.36 (assume @p29 @t105) % 17.12/17.36 (assume @p30 @t106) % 17.12/17.36 (assume @p31 (forall @t32 (=> @t37 @t72))) % 17.12/17.36 (assume @p32 (forall @t32 (=> @t72 (forall @t21 (=> @t107 @t13))))) % 17.12/17.36 (assume @p33 (forall @t49 (=> @t108 @t48))) % 17.12/17.36 (assume @p34 @t110) % 17.12/17.36 (assume @p35 (forall @t32 (=> @t37 (tptp.m1_subset_1 @t36 @t111)))) % 17.12/17.36 (assume @p36 (exists @t32 @t23)) % 17.12/17.36 (assume @p37 (exists @t32 @t37)) % 17.12/17.36 (assume @p38 (exists @t32 @t72)) % 17.12/17.36 (assume @p39 (forall @t32 (=> @t72 (exists @t21 @t107)))) % 17.12/17.36 (assume @p40 (forall @t39 (exists @t88 @t112))) % 17.12/17.36 (assume @p41 (forall @t32 (exists @t21 (tptp.m1_subset_1 @t1 @t3)))) % 17.12/17.36 (assume @p42 (forall @t39 (exists @t88 @t108))) % 17.12/17.36 (assume @p43 (forall @t32 (=> @t73 (exists @t21 @t71)))) % 17.12/17.36 (assume @p44 (and @t114 @t113 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 17.12/17.36 (assume @p45 (forall @t39 (=> (and @t42 @t57) (tptp.v1_finset_1 @t47)))) % 17.12/17.36 (assume @p46 (forall @t32 (and @t115 (tptp.v1_finset_1 @t94)))) % 17.12/17.36 (assume @p47 (forall @t32 (=> @t73 (not (tptp.v1_xboole_0 @t9))))) % 17.12/17.36 (assume @p48 (forall @t32 (not (tptp.v1_xboole_0 @t58)))) % 17.12/17.36 (assume @p49 (forall @t39 (=> @t101 (and @t116 @t99)))) % 17.12/17.36 (assume @p50 (forall @t39 (=> @t101 (and @t116 @t99 (tptp.v2_pre_topc @t81))))) % 17.12/17.36 (assume @p51 (forall @t39 (and @t117 (tptp.v1_finset_1 @t74)))) % 17.12/17.36 (assume @p52 (forall @t32 @t115)) % 17.12/17.36 (assume @p53 (forall @t39 @t117)) % 17.12/17.36 (assume @p54 (and @t114 @t113)) % 17.12/17.36 (assume @p55 (forall @t39 (=> (and @t119 @t118) (not (tptp.v1_xboole_0 @t47))))) % 17.12/17.36 (assume @p56 (forall @t49 (=> (and (not (tptp.v3_struct_0 @t1)) (tptp.l1_struct_0 @t1) (tptp.m4_yellow_6 @t46 @t1)) (= (tptp.r2_hidden @t3 (tptp.a_2_1_yellow_6 @t1 @t46)) (exists (@list @t120) (and (tptp.m1_subset_1 @t120 (tptp.k1_zfmisc_1 @t7)) (= @t3 @t120) (forall (@list @t122) (=> (tptp.m1_subset_1 @t122 @t7) (=> (tptp.r2_hidden @t122 @t120) (forall (@list @t121) (=> (and (not (tptp.v3_struct_0 @t121)) (tptp.v3_orders_2 @t121) (tptp.v7_waybel_0 @t121) (tptp.l1_waybel_0 @t121 @t1)) (=> (tptp.r2_hidden (tptp.k4_tarski @t121 @t122) @t46) (tptp.r1_waybel_0 @t1 @t121 @t120))))))))))))) % 17.12/17.36 (assume @p57 @t128) % 17.12/17.36 (assume @p58 (forall @t39 (=> @t98 (forall @t125 (=> (= @t97 (tptp.g1_pre_topc @t46 @t120)) @t123))))) % 17.12/17.36 (assume @p59 @t134) % 17.12/17.36 (assume @p60 (exists @t32 (and @t119 @t42))) % 17.12/17.36 (assume @p61 (exists @t32 (and @t45 @t44))) % 17.12/17.36 (assume @p62 (exists @t32 (and @t43 @t45))) % 17.12/17.36 (assume @p63 (forall @t32 (=> @t119 (exists @t21 (and @t59 @t118))))) % 17.12/17.36 (assume @p64 (forall @t32 (=> @t56 (exists @t21 (and @t54 @t51))))) % 17.12/17.36 (assume @p65 (exists @t32 @t61)) % 17.12/17.36 (assume @p66 (exists @t32 (and @t119 @t45))) % 17.12/17.36 (assume @p67 (forall @t32 (exists @t21 (and @t59 @t52)))) % 17.12/17.36 (assume @p68 (forall @t32 (=> @t56 (exists @t21 (and @t54 @t51 @t50))))) % 17.12/17.36 (assume @p69 (forall @t32 (exists @t21 (and @t98 @t118 @t57)))) % 17.12/17.36 (assume @p70 (forall @t32 (=> @t119 (exists @t21 (and @t59 @t118 @t57))))) % 17.12/17.36 (assume @p71 (exists @t32 @t60)) % 17.12/17.36 (assume @p72 (exists @t32 (and @t45 @t135))) % 17.12/17.36 (assume @p73 (exists @t32 (and @t72 @t41))) % 17.12/17.36 (assume @p74 (forall @t32 (=> (and @t41 @t55 @t37) (exists @t21 (and @t54 @t118 @t51 @t50))))) % 17.12/17.36 (assume @p75 (forall @t32 (=> @t72 (exists @t21 (and (tptp.m1_subset_1 @t1 @t111) @t118 @t57))))) % 17.12/17.36 (assume @p76 (exists @t32 (and @t45 @t135 @t44))) % 17.12/17.36 (assume @p77 (forall @t32 (=> @t37 (exists @t21 (and @t54 @t52 @t70 @t69 @t68 @t67 @t66 @t64))))) % 17.12/17.36 (assume @p78 (exists @t32 (and @t23 @t41 @t35 @t28 (tptp.v7_waybel_0 @t3)))) % 17.12/17.36 (assume @p79 (forall @t32 (=> @t73 (exists @t21 (and @t54 @t118))))) % 17.12/17.36 (assume @p80 (forall @t32 (=> @t56 (exists @t21 (and @t54 @t52 @t51 @t50 @t70 @t69 @t68 @t67 @t66 @t64 @t65))))) % 17.12/17.36 (assume @p81 (forall @t49 (= @t108 @t112))) % 17.12/17.36 (assume @p82 (forall @t39 (tptp.r1_tarski @t3 @t3))) % 17.12/17.36 (assume @p83 (forall @t39 (=> @t38 @t136))) % 17.12/17.36 (assume @p84 (forall @t39 (=> @t136 (or @t52 @t38)))) % 17.12/17.36 (assume @p85 (forall @t39 (=> (forall @t88 (= (tptp.r2_hidden @t46 @t3) (tptp.r2_hidden @t46 @t1))) @t76))) % 17.12/17.36 (assume @p86 (forall @t39 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) @t75))) % 17.12/17.36 (assume @p87 (forall @t49 (=> (and @t38 @t137) (tptp.m1_subset_1 @t3 @t46)))) % 17.12/17.36 (assume @p88 (forall @t49 (not (and @t38 @t137 (tptp.v1_xboole_0 @t46))))) % 17.12/17.36 (assume @p89 (forall @t32 (=> @t43 (= @t3 tptp.k1_xboole_0)))) % 17.12/17.36 (assume @p90 (forall @t39 (not (and @t38 @t52)))) % 17.12/17.36 (assume @p91 (forall @t39 (not (and @t43 (not @t76) @t52)))) % 17.12/17.36 (step @p92 :rule evaluate :args ((= false true))) % 17.12/17.36 (step @p93 :rule eq-symm :args (@t141 @t142)) % 17.12/17.36 (step @p94 :rule refl :args (@t142)) % 17.12/17.36 (step @p95 :rule eq-symm :args (@t139 @t140)) % 17.12/17.36 (step @p96 :rule cong :premises (@p95 @p94) :args (@t143)) % 17.12/17.36 (step @p97 :rule trans :premises (@p96 @p93)) % 17.12/17.36 (step @p98 :rule refl :args (@t144)) % 17.12/17.36 (step @p99 :rule refl :args (@t145)) % 17.12/17.36 (step @p100 :rule refl :args (@t146)) % 17.12/17.36 (step @p101 :rule refl :args (@t147)) % 17.12/17.36 (step @p102 :rule refl :args (@t40)) % 17.12/17.36 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98 @p97) :args (@t148)) % 17.12/17.36 (step @p104 :rule aci_norm :args ((= @t150 @t148))) % 17.12/17.36 (step @p105 :rule trans :premises (@p104 @p103)) % 17.12/17.36 (step @p106 :rule cong :premises (@p105) :args (@t152)) % 17.12/17.36 (step @p107 :rule quant-merge-prenex :args ((= (forall @t32 @t154) @t152))) % 17.12/17.36 (step @p108 :rule alpha_equiv :args (@t155 (@list @t138 @t140) (@list @t1 @t156))) % 17.12/17.36 (step @p109 :rule refl :args (@t147)) % 17.12/17.36 (step @p110 :rule refl :args (@t40)) % 17.12/17.36 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t157)) % 17.12/17.36 (step @p112 :rule quant-miniscope-or :args ((= @t154 @t157))) % 17.12/17.36 (step @p113 :rule trans :premises (@p112 @p111)) % 17.12/17.36 (step @p114 :rule symm :premises (@p113)) % 17.12/17.36 (step @p115 :rule cong :premises (@p114) :args ((forall @t32 @t165))) % 17.12/17.36 (step @p116 :rule trans :premises (@p115 @p107)) % 17.12/17.36 (step @p117 :rule trans :premises (@p116 @p106)) % 17.12/17.36 (step @p118 :rule aci_norm :args ((= (or (or @t40 @t147) @t164) @t165))) % 17.12/17.36 (step @p119 :rule refl :args (@t164)) % 17.12/17.36 (step @p120 :rule bool-double-not-elim :args (@t40)) % 17.12/17.36 (step @p121 :rule nary_cong :premises (@p120 @p109) :args ((or @t166 @t147))) % 17.12/17.36 (step @p122 :rule bool-and-de-morgan :args (@t41 @t72 true)) % 17.12/17.36 (step @p123 :rule trans :premises (@p122 @p121)) % 17.12/17.36 (step @p124 :rule nary_cong :premises (@p123 @p119) :args ((or (not @t73) @t164))) % 17.12/17.36 (step @p125 :rule trans :premises (@p124 @p118)) % 17.12/17.36 (step @p126 :rule bool-impl-elim :args (@t73 @t164)) % 17.12/17.36 (step @p127 :rule trans :premises (@p126 @p125)) % 17.12/17.36 (step @p128 :rule cong :premises (@p127) :args ((forall @t32 (=> @t73 @t164)))) % 17.12/17.36 (step @p129 :rule trans :premises (@p128 @p117)) % 17.12/17.36 (step @p130 :rule eq-symm :args (@t158 @t77)) % 17.12/17.36 (step @p131 :rule refl :args (@t159)) % 17.12/17.36 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t167)) % 17.12/17.36 (step @p133 :rule eq-symm :args (@t156 @t81)) % 17.12/17.36 (step @p134 :rule cong :premises (@p133 @p132) :args (@t168)) % 17.12/17.36 (step @p135 :rule refl :args (@t160)) % 17.12/17.36 (step @p136 :rule refl :args (@t161)) % 17.12/17.36 (step @p137 :rule refl :args (@t162)) % 17.12/17.36 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134) :args (@t169)) % 17.12/17.36 (step @p139 :rule aci_norm :args ((= @t171 @t169))) % 17.12/17.36 (step @p140 :rule trans :premises (@p139 @p138)) % 17.12/17.36 (step @p141 :rule cong :premises (@p140) :args (@t172)) % 17.12/17.36 (step @p142 :rule quant-merge-prenex :args ((= (forall @t21 @t174) @t172))) % 17.12/17.36 (step @p143 :rule alpha_equiv :args (@t175 (@list @t156) (@list @t46))) % 17.12/17.36 (step @p144 :rule refl :args (@t162)) % 17.12/17.36 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t176)) % 17.12/17.36 (step @p146 :rule quant-miniscope-or :args ((= @t174 @t176))) % 17.12/17.36 (step @p147 :rule trans :premises (@p146 @p145)) % 17.12/17.36 (step @p148 :rule symm :premises (@p147)) % 17.12/17.36 (step @p149 :rule cong :premises (@p148) :args ((forall @t21 (or @t162 @t181)))) % 17.12/17.36 (step @p150 :rule trans :premises (@p149 @p142)) % 17.12/17.36 (step @p151 :rule trans :premises (@p150 @p141)) % 17.12/17.36 (step @p152 :rule bool-impl-elim :args (@t71 @t181)) % 17.12/17.36 (step @p153 :rule cong :premises (@p152) :args ((forall @t21 (=> @t71 @t181)))) % 17.12/17.36 (step @p154 :rule trans :premises (@p153 @p151)) % 17.12/17.36 (step @p155 :rule aci_norm :args ((= (or (or @t179 @t178) @t177) @t180))) % 17.12/17.36 (step @p156 :rule refl :args (@t177)) % 17.12/17.36 (step @p157 :rule bool-and-de-morgan :args (@t85 @t84 true)) % 17.12/17.36 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or (not @t86) @t177))) % 17.12/17.36 (step @p159 :rule trans :premises (@p158 @p155)) % 17.12/17.36 (step @p160 :rule bool-impl-elim :args (@t86 @t177)) % 17.12/17.36 (step @p161 :rule trans :premises (@p160 @p159)) % 17.12/17.36 (step @p162 :rule cong :premises (@p161) :args ((forall @t88 (=> @t86 @t177)))) % 17.12/17.36 (step @p163 :rule refl :args (@t78)) % 17.12/17.36 (step @p164 :rule eq-symm :args (@t79 @t9)) % 17.12/17.36 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t80)) % 17.12/17.36 (step @p166 :rule refl :args (@t82)) % 17.12/17.36 (step @p167 :rule cong :premises (@p166 @p165) :args (@t83)) % 17.12/17.36 (step @p168 :rule refl :args (@t86)) % 17.12/17.36 (step @p169 :rule cong :premises (@p168 @p167) :args (@t87)) % 17.12/17.36 (step @p170 :rule cong :premises (@p169) :args (@t89)) % 17.12/17.36 (step @p171 :rule trans :premises (@p170 @p162)) % 17.12/17.36 (step @p172 :rule refl :args (@t71)) % 17.12/17.36 (step @p173 :rule cong :premises (@p172 @p171) :args (@t90)) % 17.12/17.36 (step @p174 :rule cong :premises (@p173) :args (@t91)) % 17.12/17.36 (step @p175 :rule trans :premises (@p174 @p154)) % 17.12/17.36 (step @p176 :rule refl :args (@t73)) % 17.12/17.36 (step @p177 :rule cong :premises (@p176 @p175) :args (@t92)) % 17.12/17.36 (step @p178 :rule cong :premises (@p177) :args (@t93)) % 17.12/17.36 (step @p179 :rule trans :premises (@p178 @p129)) % 17.12/17.36 (step @p180 :rule eq_resolve :premises (@p23 @p179)) % 17.12/17.36 (step @p181 :rule bool-eq-true :args (@t210)) % 17.12/17.36 (step @p182 :rule eq-refl :args (@t205)) % 17.12/17.36 (step @p183 :rule eq-symm :args (@t204 @t206)) % 17.12/17.36 (step @p184 :rule refl :args (@t209)) % 17.12/17.36 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t211)) % 17.12/17.36 (step @p186 :rule cong :premises (@p185 @p182) :args (@t212)) % 17.12/17.36 (step @p187 :rule trans :premises (@p186 @p181)) % 17.12/17.36 (step @p188 :rule refl :args (@t214)) % 17.12/17.36 (step @p189 :rule refl :args (@t216)) % 17.12/17.36 (step @p190 :rule refl :args (@t218)) % 17.12/17.36 (step @p191 :rule refl :args (@t220)) % 17.12/17.36 (step @p192 :rule refl :args (@t221)) % 17.12/17.36 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189 @p188 @p187) :args (@t222)) % 17.12/17.36 (step @p194 :rule refl :args (@t223)) % 17.12/17.36 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t223 @t222))) % 17.12/17.36 (assume-push @p636 @t223) % 17.12/17.36 (step @p197 :rule instantiate :premises (@p180) :args ((@list @t202 @t203 @t205))) % 17.12/17.36 (step-pop @p637 :rule scope :premises (@p197)) % 17.12/17.36 (step @p198 :rule process_scope :premises (@p637) :args (@t222)) % 17.12/17.36 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 17.12/17.36 (step @p201 :rule implies_elim :premises (@p200)) % 17.12/17.36 (step @p202 :rule chain_m_resolution :premises (@p201 @p180) :args (@t224 @t225 @t226)) % 17.12/17.36 (step @p203 :rule aci_norm :args ((= (or (or @t40 @t147 @t162) @t100) (or @t40 @t147 @t162 @t100)))) % 17.12/17.36 (step @p204 :rule refl :args (@t100)) % 17.12/17.36 (step @p205 :rule nary_cong :premises (@p120 @p109 @p144) :args (@t227)) % 17.12/17.36 (step @p206 :rule aci_norm :args ((= (or @t166 (or @t147 @t162)) @t227))) % 17.12/17.36 (step @p207 :rule trans :premises (@p206 @p205)) % 17.12/17.36 (step @p208 :rule bool-and-de-morgan :args (@t72 @t71 true)) % 17.12/17.36 (step @p209 :rule refl :args (@t166)) % 17.12/17.36 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t166 (not (and @t72 @t71))))) % 17.12/17.36 (step @p211 :rule bool-and-de-morgan :args (@t41 @t72 (and @t71))) % 17.12/17.36 (step @p212 :rule trans :premises (@p211 @p210)) % 17.12/17.36 (step @p213 :rule trans :premises (@p212 @p207)) % 17.12/17.36 (step @p214 :rule nary_cong :premises (@p213 @p204) :args ((or (not @t101) @t100))) % 17.12/17.36 (step @p215 :rule trans :premises (@p214 @p203)) % 17.12/17.36 (step @p216 :rule bool-impl-elim :args (@t101 @t100)) % 17.12/17.36 (step @p217 :rule trans :premises (@p216 @p215)) % 17.12/17.36 (step @p218 :rule cong :premises (@p217) :args (@t102)) % 17.12/17.36 (step @p219 :rule eq_resolve :premises (@p27 @p218)) % 17.12/17.36 (step @p220 :rule instantiate :premises (@p219) :args ((@list @t202 @t203))) % 17.12/17.36 (step @p221 :rule aci_norm :args ((= (or (or @t40 @t192) @t103) (or @t40 @t192 @t103)))) % 17.12/17.36 (step @p222 :rule refl :args (@t103)) % 17.12/17.36 (step @p223 :rule refl :args (@t192)) % 17.12/17.36 (step @p224 :rule nary_cong :premises (@p120 @p223) :args ((or @t166 @t192))) % 17.12/17.36 (step @p225 :rule bool-and-de-morgan :args (@t41 @t23 true)) % 17.12/17.36 (step @p226 :rule trans :premises (@p225 @p224)) % 17.12/17.36 (step @p227 :rule nary_cong :premises (@p226 @p222) :args ((or (not @t104) @t103))) % 17.12/17.36 (step @p228 :rule trans :premises (@p227 @p221)) % 17.12/17.36 (step @p229 :rule bool-impl-elim :args (@t104 @t103)) % 17.12/17.36 (step @p230 :rule trans :premises (@p229 @p228)) % 17.12/17.36 (step @p231 :rule cong :premises (@p230) :args (@t105)) % 17.12/17.36 (step @p232 :rule eq_resolve :premises (@p29 @p231)) % 17.12/17.36 (step @p233 :rule instantiate :premises (@p232) :args (@t228)) % 17.12/17.36 (step @p234 :rule aci_norm :args ((= (or @t192 (or @t193 @t41)) (or @t192 @t193 @t41)))) % 17.12/17.36 (step @p235 :rule bool-impl-elim :args (@t24 @t41)) % 17.12/17.36 (step @p236 :rule nary_cong :premises (@p223 @p235) :args ((or @t192 @t62))) % 17.12/17.36 (step @p237 :rule trans :premises (@p236 @p234)) % 17.12/17.36 (step @p238 :rule bool-impl-elim :args (@t23 @t62)) % 17.12/17.36 (step @p239 :rule trans :premises (@p238 @p237)) % 17.12/17.36 (step @p240 :rule cong :premises (@p239) :args (@t63)) % 17.12/17.36 (step @p241 :rule eq_resolve :premises (@p14 @p240)) % 17.12/17.36 (step @p242 :rule instantiate :premises (@p241) :args (@t228)) % 17.12/17.36 (step @p243 :rule aci_norm :args ((= @t230 @t199))) % 17.12/17.36 (step @p244 :rule cong :premises (@p243) :args (@t231)) % 17.12/17.36 (step @p245 :rule quant-merge-prenex :args ((= (forall @t32 @t233) @t231))) % 17.12/17.36 (step @p246 :rule alpha_equiv :args (@t234 (@list @t182) @t235)) % 17.12/17.36 (step @p247 :rule refl :args (@t193)) % 17.12/17.36 (step @p248 :rule refl :args (@t194)) % 17.12/17.36 (step @p249 :rule refl :args (@t195)) % 17.12/17.36 (step @p250 :rule refl :args (@t196)) % 17.12/17.36 (step @p251 :rule refl :args (@t197)) % 17.12/17.36 (step @p252 :rule refl :args (@t198)) % 17.12/17.36 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250 @p249 @p248 @p247 @p223 @p246) :args (@t236)) % 17.12/17.36 (step @p254 :rule quant-miniscope-or :args ((= @t233 @t236))) % 17.12/17.36 (step @p255 :rule trans :premises (@p254 @p253)) % 17.12/17.36 (step @p256 :rule symm :premises (@p255)) % 17.12/17.36 (step @p257 :rule cong :premises (@p256) :args ((forall @t32 @t247))) % 17.12/17.36 (step @p258 :rule trans :premises (@p257 @p245)) % 17.12/17.36 (step @p259 :rule trans :premises (@p258 @p244)) % 17.12/17.36 (step @p260 :rule aci_norm :args ((= (or @t248 @t246) @t247))) % 17.12/17.36 (step @p261 :rule refl :args (@t246)) % 17.12/17.36 (step @p262 :rule aci_norm :args ((= (or @t198 (or @t197 (or @t196 (or @t195 (or @t194 (or @t193 @t192)))))) @t248))) % 17.12/17.36 (step @p263 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 17.12/17.36 (step @p264 :rule nary_cong :premises (@p248 @p263) :args ((or @t194 (not (and @t24 @t23))))) % 17.12/17.36 (step @p265 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23))) % 17.12/17.36 (step @p266 :rule trans :premises (@p265 @p264)) % 17.12/17.36 (step @p267 :rule nary_cong :premises (@p249 @p266) :args ((or @t195 (not (and @t25 @t24 @t23))))) % 17.12/17.36 (step @p268 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t23))) % 17.12/17.36 (step @p269 :rule trans :premises (@p268 @p267)) % 17.12/17.36 (step @p270 :rule nary_cong :premises (@p250 @p269) :args ((or @t196 (not (and @t26 @t25 @t24 @t23))))) % 17.12/17.36 (step @p271 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t24 @t23))) % 17.12/17.36 (step @p272 :rule trans :premises (@p271 @p270)) % 17.12/17.36 (step @p273 :rule nary_cong :premises (@p251 @p272) :args ((or @t197 (not (and @t27 @t26 @t25 @t24 @t23))))) % 17.12/17.36 (step @p274 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t24 @t23))) % 17.12/17.36 (step @p275 :rule trans :premises (@p274 @p273)) % 17.12/17.36 (step @p276 :rule nary_cong :premises (@p252 @p275) :args ((or @t198 (not (and @t28 @t27 @t26 @t25 @t24 @t23))))) % 17.12/17.36 (step @p277 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26 @t25 @t24 @t23))) % 17.12/17.36 (step @p278 :rule trans :premises (@p277 @p276)) % 17.12/17.36 (step @p279 :rule trans :premises (@p278 @p262)) % 17.12/17.36 (step @p280 :rule nary_cong :premises (@p279 @p261) :args ((or @t249 @t246))) % 17.12/17.36 (step @p281 :rule trans :premises (@p280 @p260)) % 17.12/17.36 (step @p282 :rule bool-impl-elim :args (@t30 @t246)) % 17.12/17.36 (step @p283 :rule trans :premises (@p282 @p281)) % 17.12/17.36 (step @p284 :rule cong :premises (@p283) :args ((forall @t32 (=> @t30 @t246)))) % 17.12/17.36 (step @p285 :rule trans :premises (@p284 @p259)) % 17.12/17.36 (step @p286 :rule aci_norm :args ((= (or @t250 (or @t237 @t6)) @t245))) % 17.12/17.36 (step @p287 :rule bool-impl-elim :args (@t11 @t6)) % 17.12/17.36 (step @p288 :rule aci_norm :args ((= (or @t244 (or @t243 (or @t242 (or @t241 (or @t240 (or @t239 @t238)))))) @t250))) % 17.12/17.36 (step @p289 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 17.12/17.36 (step @p290 :rule refl :args (@t240)) % 17.12/17.36 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t240 (not (and @t14 @t13))))) % 17.12/17.36 (step @p292 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13))) % 17.12/17.36 (step @p293 :rule trans :premises (@p292 @p291)) % 17.12/17.36 (step @p294 :rule refl :args (@t241)) % 17.12/17.36 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t241 (not (and @t15 @t14 @t13))))) % 17.12/17.36 (step @p296 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14 @t13))) % 17.12/17.36 (step @p297 :rule trans :premises (@p296 @p295)) % 17.12/17.36 (step @p298 :rule refl :args (@t242)) % 17.12/17.36 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t242 (not (and @t16 @t15 @t14 @t13))))) % 17.12/17.36 (step @p300 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15 @t14 @t13))) % 17.12/17.36 (step @p301 :rule trans :premises (@p300 @p299)) % 17.12/17.36 (step @p302 :rule refl :args (@t243)) % 17.12/17.36 (step @p303 :rule nary_cong :premises (@p302 @p301) :args ((or @t243 (not (and @t17 @t16 @t15 @t14 @t13))))) % 17.12/17.36 (step @p304 :rule bool-and-de-morgan :args (@t18 @t17 (and @t16 @t15 @t14 @t13))) % 17.12/17.36 (step @p305 :rule trans :premises (@p304 @p303)) % 17.12/17.36 (step @p306 :rule refl :args (@t244)) % 17.12/17.36 (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((or @t244 (not (and @t18 @t17 @t16 @t15 @t14 @t13))))) % 17.12/17.36 (step @p308 :rule bool-and-de-morgan :args (@t19 @t18 (and @t17 @t16 @t15 @t14 @t13))) % 17.12/17.36 (step @p309 :rule trans :premises (@p308 @p307)) % 17.12/17.36 (step @p310 :rule trans :premises (@p309 @p288)) % 17.12/17.36 (step @p311 :rule nary_cong :premises (@p310 @p287) :args ((or @t251 @t12))) % 17.12/17.36 (step @p312 :rule trans :premises (@p311 @p286)) % 17.12/17.36 (step @p313 :rule bool-impl-elim :args (@t20 @t12)) % 17.12/17.36 (step @p314 :rule trans :premises (@p313 @p312)) % 17.12/17.36 (step @p315 :rule cong :premises (@p314) :args (@t22)) % 17.12/17.36 (step @p316 :rule refl :args (@t30)) % 17.12/17.36 (step @p317 :rule cong :premises (@p316 @p315) :args (@t31)) % 17.12/17.36 (step @p318 :rule cong :premises (@p317) :args (@t33)) % 17.12/17.36 (step @p319 :rule trans :premises (@p318 @p285)) % 17.12/17.36 (step @p320 :rule cong :premises (@p319) :args (@t34)) % 17.12/17.36 (step @p321 :rule eq_resolve :premises (@p1 @p320)) % 17.12/17.36 (step @p322 :rule skolemize :premises (@p321)) % 17.12/17.36 (step @p323 :rule bool-double-not-elim :args (@t252)) % 17.12/17.36 (step @p324 :rule refl :args (@t291)) % 17.12/17.36 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t291 (not @t264)))) % 17.12/17.36 (step @p326 :rule cnf_or_neg :args (@t291 13)) % 17.12/17.36 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 17.12/17.36 (step @p328 :rule reordering :premises (@p327) :args ((or @t252 @t291))) % 17.12/17.36 (step @p329 :rule chain_m_resolution :premises (@p328 @p322) :args (@t252 @t292 @t293)) % 17.12/17.36 (step @p330 :rule bool-double-not-elim :args (@t265)) % 17.12/17.36 (step @p331 :rule nary_cong :premises (@p324 @p330) :args ((or @t291 (not @t266)))) % 17.12/17.36 (step @p332 :rule cnf_or_neg :args (@t291 12)) % 17.12/17.36 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 17.12/17.36 (step @p334 :rule reordering :premises (@p333) :args ((or @t265 @t291))) % 17.12/17.36 (step @p335 :rule chain_m_resolution :premises (@p334 @p322) :args (@t265 @t292 @t293)) % 17.12/17.36 (step @p336 :rule cnf_or_pos :args (@t295)) % 17.12/17.36 (step @p337 :rule reordering :premises (@p336) :args ((or @t266 @t264 @t294 (not @t295)))) % 17.12/17.36 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p329 @p242) :args (@t294 @t296 (@list @t265 @t252 @t295))) % 17.12/17.36 (step @p339 :rule cnf_or_pos :args (@t297)) % 17.12/17.36 (step @p340 :rule reordering :premises (@p339) :args ((or @t264 @t221 @t217 (not @t297)))) % 17.12/17.36 (step @p341 :rule chain_m_resolution :premises (@p340 @p329 @p338 @p233) :args (@t217 @t298 (@list @t252 @t221 @t297))) % 17.12/17.36 (step @p342 :rule bool-impl-elim :args (@t23 @t72)) % 17.12/17.36 (step @p343 :rule cong :premises (@p342) :args (@t106)) % 17.12/17.36 (step @p344 :rule eq_resolve :premises (@p30 @p343)) % 17.12/17.36 (step @p345 :rule instantiate :premises (@p344) :args (@t228)) % 17.12/17.36 (step @p346 :rule cnf_or_pos :args (@t299)) % 17.12/17.36 (step @p347 :rule reordering :premises (@p346) :args ((or @t264 @t219 (not @t299)))) % 17.12/17.36 (step @p348 :rule chain_m_resolution :premises (@p347 @p329 @p345) :args (@t219 @t300 (@list @t252 @t299))) % 17.12/17.36 (step @p349 :rule cnf_or_pos :args (@t302)) % 17.12/17.36 (step @p350 :rule reordering :premises (@p349) :args ((or @t221 @t220 @t218 @t301 (not @t302)))) % 17.12/17.36 (step @p351 :rule chain_m_resolution :premises (@p350 @p338 @p348 @p341 @p220) :args (@t301 @t303 (@list @t221 @t219 @t217 @t302))) % 17.12/17.36 (step @p352 :rule cnf_and_pos :args (@t301 0)) % 17.12/17.36 (step @p353 :rule reordering :premises (@p352) :args ((or @t215 @t304))) % 17.12/17.36 (step @p354 :rule chain_m_resolution :premises (@p353 @p351) :args (@t215 @t225 @t305)) % 17.12/17.36 (step @p355 :rule cnf_and_pos :args (@t301 1)) % 17.12/17.36 (step @p356 :rule reordering :premises (@p355) :args ((or @t213 @t304))) % 17.12/17.36 (step @p357 :rule chain_m_resolution :premises (@p356 @p351) :args (@t213 @t225 @t305)) % 17.12/17.36 (step @p358 :rule cnf_or_pos :args (@t224)) % 17.12/17.36 (step @p359 :rule reordering :premises (@p358) :args ((or @t221 @t220 @t218 @t214 @t216 @t210 (not @t224)))) % 17.12/17.36 (step @p360 :rule chain_m_resolution :premises (@p359 @p338 @p348 @p341 @p357 @p354 @p202) :args (@t210 @t306 (@list @t221 @t219 @t217 @t213 @t215 @t224))) % 17.12/17.36 (step @p361 :rule cnf_and_pos :args (@t210 0)) % 17.12/17.36 (step @p362 :rule reordering :premises (@p361) :args ((or @t209 (not @t210)))) % 17.12/17.36 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t209 @t225 (@list @t210))) % 17.12/17.36 (step @p364 :rule aci_norm :args ((= @t313 (or @t311 @t310 @t309)))) % 17.12/17.36 (step @p365 :rule cong :premises (@p364) :args (@t314)) % 17.12/17.36 (step @p366 :rule quant-merge-prenex :args ((= (forall @t39 @t316) @t314))) % 17.12/17.36 (step @p367 :rule alpha_equiv :args (@t317 (@list @t308 @t307) (@list @t46 @t120))) % 17.12/17.36 (step @p368 :rule refl :args (@t311)) % 17.12/17.36 (step @p369 :rule nary_cong :premises (@p368 @p367) :args (@t318)) % 17.12/17.36 (step @p370 :rule quant-miniscope-or :args ((= @t316 @t318))) % 17.12/17.36 (step @p371 :rule trans :premises (@p370 @p369)) % 17.12/17.36 (step @p372 :rule symm :premises (@p371)) % 17.12/17.36 (step @p373 :rule cong :premises (@p372) :args ((forall @t39 (or @t311 @t319)))) % 17.12/17.36 (step @p374 :rule trans :premises (@p373 @p366)) % 17.12/17.36 (step @p375 :rule trans :premises (@p374 @p365)) % 17.12/17.36 (step @p376 :rule bool-impl-elim :args (@t96 @t319)) % 17.12/17.36 (step @p377 :rule cong :premises (@p376) :args ((forall @t39 (=> @t96 @t319)))) % 17.12/17.36 (step @p378 :rule trans :premises (@p377 @p375)) % 17.12/17.36 (step @p379 :rule bool-impl-elim :args (@t124 @t123)) % 17.12/17.36 (step @p380 :rule cong :premises (@p379) :args (@t126)) % 17.12/17.36 (step @p381 :rule refl :args (@t96)) % 17.12/17.36 (step @p382 :rule cong :premises (@p381 @p380) :args (@t127)) % 17.12/17.36 (step @p383 :rule cong :premises (@p382) :args (@t128)) % 17.12/17.36 (step @p384 :rule trans :premises (@p383 @p378)) % 17.12/17.36 (step @p385 :rule eq_resolve :premises (@p57 @p384)) % 17.12/17.36 (step @p386 :rule instantiate :premises (@p385) :args ((@list @t260 @t259 @t208 @t257))) % 17.12/17.36 (step @p387 :rule instantiate :premises (@p81) :args ((@list @t260 @t260 @t259))) % 17.12/17.36 (step @p388 :rule bool-impl-elim :args (@t23 @t109)) % 17.12/17.36 (step @p389 :rule cong :premises (@p388) :args (@t110)) % 17.12/17.36 (step @p390 :rule eq_resolve :premises (@p34 @p389)) % 17.12/17.36 (step @p391 :rule instantiate :premises (@p390) :args (@t320)) % 17.12/17.36 (step @p392 :rule bool-double-not-elim :args (@t277)) % 17.12/17.36 (step @p393 :rule nary_cong :premises (@p324 @p392) :args ((or @t291 (not @t278)))) % 17.12/17.36 (step @p394 :rule cnf_or_neg :args (@t291 6)) % 17.12/17.36 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 17.12/17.36 (step @p396 :rule reordering :premises (@p395) :args ((or @t277 @t291))) % 17.12/17.36 (step @p397 :rule chain_m_resolution :premises (@p396 @p322) :args (@t277 @t292 @t293)) % 17.12/17.36 (step @p398 :rule cnf_or_pos :args (@t322)) % 17.12/17.36 (step @p399 :rule reordering :premises (@p398) :args ((or @t278 @t321 (not @t322)))) % 17.12/17.36 (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p391) :args (@t321 @t300 (@list @t277 @t322))) % 17.12/17.36 (step @p401 :rule cnf_equiv_pos1 :args (@t324)) % 17.12/17.36 (step @p402 :rule reordering :premises (@p401) :args ((or (not @t321) @t323 (not @t324)))) % 17.12/17.36 (step @p403 :rule chain_m_resolution :premises (@p402 @p400 @p387) :args (@t323 @t300 (@list @t321 @t324))) % 17.12/17.36 (step @p404 :rule bool-double-not-elim :args (@t262)) % 17.12/17.36 (step @p405 :rule nary_cong :premises (@p324 @p404) :args ((or @t291 (not @t263)))) % 17.12/17.36 (step @p406 :rule cnf_or_neg :args (@t291 14)) % 17.12/17.36 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 17.12/17.36 (step @p408 :rule reordering :premises (@p407) :args ((or @t262 @t291))) % 17.12/17.36 (step @p409 :rule chain_m_resolution :premises (@p408 @p322) :args (@t262 @t292 @t293)) % 17.12/17.36 (step @p410 :rule cnf_or_pos :args (@t328)) % 17.12/17.36 (step @p411 :rule reordering :premises (@p410) :args ((or @t263 @t327 @t326 (not @t328)))) % 17.12/17.36 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p403 @p386) :args (@t326 @t296 (@list @t262 @t323 @t328))) % 17.12/17.36 (step @p413 :rule cnf_and_pos :args (@t326 0)) % 17.12/17.36 (step @p414 :rule reordering :premises (@p413) :args ((or @t325 (not @t326)))) % 17.12/17.36 (step @p415 :rule chain_m_resolution :premises (@p414 @p412) :args (@t325 @t225 (@list @t326))) % 17.12/17.36 (step @p416 :rule trans :premises (@p415 @p363)) % 17.12/17.36 (step @p417 :rule true_intro :premises (@p416)) % 17.12/17.36 (step @p418 :rule bool-eq-true :args (@t333)) % 17.12/17.36 (step @p419 :rule eq-refl :args (@t255)) % 17.12/17.36 (step @p420 :rule eq-symm :args (@t329 @t330)) % 17.12/17.36 (step @p421 :rule refl :args (@t332)) % 17.12/17.36 (step @p422 :rule nary_cong :premises (@p421 @p420) :args (@t334)) % 17.12/17.36 (step @p423 :rule cong :premises (@p422 @p419) :args (@t335)) % 17.12/17.36 (step @p424 :rule trans :premises (@p423 @p418)) % 17.12/17.36 (step @p425 :rule refl :args (@t337)) % 17.12/17.36 (step @p426 :rule refl :args (@t339)) % 17.12/17.36 (step @p427 :rule refl :args (@t341)) % 17.12/17.36 (step @p428 :rule refl :args (@t343)) % 17.12/17.36 (step @p429 :rule refl :args (@t344)) % 17.12/17.36 (step @p430 :rule nary_cong :premises (@p429 @p428 @p427 @p426 @p425 @p424) :args (@t345)) % 17.12/17.36 (step @p431 :rule cong :premises (@p194 @p430) :args ((=> @t223 @t345))) % 17.12/17.36 (assume-push @p638 @t223) % 17.12/17.36 (step @p433 :rule instantiate :premises (@p180) :args ((@list @t253 @t254 @t255))) % 17.12/17.36 (step-pop @p639 :rule scope :premises (@p433)) % 17.12/17.36 (step @p434 :rule process_scope :premises (@p639) :args (@t345)) % 17.12/17.36 (step @p436 :rule eq_resolve :premises (@p434 @p431)) % 17.12/17.36 (step @p437 :rule implies_elim :premises (@p436)) % 17.12/17.36 (step @p438 :rule chain_m_resolution :premises (@p437 @p180) :args (@t346 @t225 @t226)) % 17.12/17.36 (step @p439 :rule instantiate :premises (@p219) :args ((@list @t253 @t254))) % 17.12/17.36 (step @p440 :rule instantiate :premises (@p232) :args (@t320)) % 17.12/17.36 (step @p441 :rule instantiate :premises (@p241) :args (@t320)) % 17.12/17.36 (step @p442 :rule bool-double-not-elim :args (@t279)) % 17.12/17.36 (step @p443 :rule nary_cong :premises (@p324 @p442) :args ((or @t291 (not @t280)))) % 17.12/17.36 (step @p444 :rule cnf_or_neg :args (@t291 5)) % 17.12/17.36 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 17.12/17.36 (step @p446 :rule reordering :premises (@p445) :args ((or @t279 @t291))) % 17.12/17.36 (step @p447 :rule chain_m_resolution :premises (@p446 @p322) :args (@t279 @t292 @t293)) % 17.12/17.36 (step @p448 :rule cnf_or_pos :args (@t348)) % 17.12/17.36 (step @p449 :rule reordering :premises (@p448) :args ((or @t280 @t278 @t347 (not @t348)))) % 17.12/17.36 (step @p450 :rule chain_m_resolution :premises (@p449 @p447 @p397 @p441) :args (@t347 @t296 (@list @t279 @t277 @t348))) % 17.12/17.36 (step @p451 :rule cnf_or_pos :args (@t349)) % 17.12/17.36 (step @p452 :rule reordering :premises (@p451) :args ((or @t278 @t344 @t340 (not @t349)))) % 17.12/17.36 (step @p453 :rule chain_m_resolution :premises (@p452 @p397 @p450 @p440) :args (@t340 @t298 (@list @t277 @t344 @t349))) % 17.12/17.36 (step @p454 :rule instantiate :premises (@p344) :args (@t320)) % 17.12/17.36 (step @p455 :rule cnf_or_pos :args (@t350)) % 17.12/17.36 (step @p456 :rule reordering :premises (@p455) :args ((or @t278 @t342 (not @t350)))) % 17.12/17.36 (step @p457 :rule chain_m_resolution :premises (@p456 @p397 @p454) :args (@t342 @t300 (@list @t277 @t350))) % 17.12/17.36 (step @p458 :rule cnf_or_pos :args (@t352)) % 17.12/17.36 (step @p459 :rule reordering :premises (@p458) :args ((or @t344 @t343 @t341 @t351 (not @t352)))) % 17.12/17.36 (step @p460 :rule chain_m_resolution :premises (@p459 @p450 @p457 @p453 @p439) :args (@t351 @t303 (@list @t344 @t342 @t340 @t352))) % 17.12/17.36 (step @p461 :rule cnf_and_pos :args (@t351 0)) % 17.12/17.36 (step @p462 :rule reordering :premises (@p461) :args ((or @t338 @t353))) % 17.12/17.36 (step @p463 :rule chain_m_resolution :premises (@p462 @p460) :args (@t338 @t225 @t354)) % 17.12/17.36 (step @p464 :rule cnf_and_pos :args (@t351 1)) % 17.12/17.36 (step @p465 :rule reordering :premises (@p464) :args ((or @t336 @t353))) % 17.12/17.36 (step @p466 :rule chain_m_resolution :premises (@p465 @p460) :args (@t336 @t225 @t354)) % 17.12/17.36 (step @p467 :rule cnf_or_pos :args (@t346)) % 17.12/17.36 (step @p468 :rule reordering :premises (@p467) :args ((or @t344 @t343 @t341 @t337 @t339 @t333 (not @t346)))) % 17.12/17.36 (step @p469 :rule chain_m_resolution :premises (@p468 @p450 @p457 @p453 @p466 @p463 @p438) :args (@t333 @t306 (@list @t344 @t342 @t340 @t336 @t338 @t346))) % 17.12/17.36 (step @p470 :rule cnf_and_pos :args (@t333 1)) % 17.12/17.36 (step @p471 :rule reordering :premises (@p470) :args ((or @t331 (not @t333)))) % 17.12/17.36 (step @p472 :rule chain_m_resolution :premises (@p471 @p469) :args (@t331 @t225 (@list @t333))) % 17.12/17.36 (step @p473 :rule instantiate :premises (@p22) :args ((@list @t330 @t206))) % 17.12/17.36 (step @p474 :rule aci_norm :args ((= @t367 @t365))) % 17.12/17.36 (step @p475 :rule cong :premises (@p474) :args (@t369)) % 17.12/17.36 (step @p476 :rule quant-merge-prenex :args ((= (forall @t32 @t371) @t369))) % 17.12/17.36 (step @p477 :rule alpha_equiv :args (@t372 (@list @t355) @t235)) % 17.12/17.36 (step @p478 :rule nary_cong :premises (@p252 @p251 @p250 @p249 @p248 @p247 @p223 @p477) :args (@t373)) % 17.12/17.36 (step @p479 :rule quant-miniscope-or :args ((= @t371 @t373))) % 17.12/17.36 (step @p480 :rule trans :premises (@p479 @p478)) % 17.12/17.36 (step @p481 :rule symm :premises (@p480)) % 17.12/17.36 (step @p482 :rule cong :premises (@p481) :args ((forall @t32 @t376))) % 17.12/17.36 (step @p483 :rule trans :premises (@p482 @p476)) % 17.12/17.36 (step @p484 :rule trans :premises (@p483 @p475)) % 17.12/17.36 (step @p485 :rule aci_norm :args ((= (or @t248 @t375) @t376))) % 17.12/17.36 (step @p486 :rule refl :args (@t375)) % 17.12/17.36 (step @p487 :rule nary_cong :premises (@p279 @p486) :args ((or @t249 @t375))) % 17.12/17.36 (step @p488 :rule trans :premises (@p487 @p485)) % 17.12/17.36 (step @p489 :rule bool-impl-elim :args (@t30 @t375)) % 17.12/17.36 (step @p490 :rule trans :premises (@p489 @p488)) % 17.12/17.36 (step @p491 :rule cong :premises (@p490) :args ((forall @t32 (=> @t30 @t375)))) % 17.12/17.36 (step @p492 :rule trans :premises (@p491 @p484)) % 17.12/17.36 (step @p493 :rule aci_norm :args ((= (or @t250 (or @t237 @t130)) @t374))) % 17.12/17.36 (step @p494 :rule bool-impl-elim :args (@t11 @t130)) % 17.12/17.36 (step @p495 :rule nary_cong :premises (@p310 @p494) :args ((or @t251 @t131))) % 17.12/17.36 (step @p496 :rule trans :premises (@p495 @p493)) % 17.12/17.36 (step @p497 :rule bool-impl-elim :args (@t20 @t131)) % 17.12/17.36 (step @p498 :rule trans :premises (@p497 @p496)) % 17.12/17.36 (step @p499 :rule cong :premises (@p498) :args (@t132)) % 17.12/17.36 (step @p500 :rule cong :premises (@p316 @p499) :args (@t133)) % 17.12/17.36 (step @p501 :rule cong :premises (@p500) :args (@t134)) % 17.12/17.36 (step @p502 :rule trans :premises (@p501 @p492)) % 17.12/17.36 (step @p503 :rule eq_resolve :premises (@p59 @p502)) % 17.12/17.36 (step @p504 :rule refl :args (@t377)) % 17.12/17.36 (step @p505 :rule eq-symm :args (@t258 @t261)) % 17.12/17.36 (step @p506 :rule cong :premises (@p505) :args (@t378)) % 17.12/17.36 (step @p507 :rule refl :args (@t278)) % 17.12/17.36 (step @p508 :rule refl :args (@t280)) % 17.12/17.36 (step @p509 :rule refl :args (@t282)) % 17.12/17.36 (step @p510 :rule refl :args (@t284)) % 17.12/17.36 (step @p511 :rule refl :args (@t286)) % 17.12/17.36 (step @p512 :rule refl :args (@t288)) % 17.12/17.36 (step @p513 :rule refl :args (@t290)) % 17.12/17.36 (step @p514 :rule refl :args (@t264)) % 17.12/17.36 (step @p515 :rule refl :args (@t266)) % 17.12/17.36 (step @p516 :rule refl :args (@t268)) % 17.12/17.36 (step @p517 :rule refl :args (@t270)) % 17.12/17.36 (step @p518 :rule refl :args (@t272)) % 17.12/17.36 (step @p519 :rule refl :args (@t274)) % 17.12/17.36 (step @p520 :rule refl :args (@t276)) % 17.12/17.36 (step @p521 :rule nary_cong :premises (@p520 @p519 @p518 @p517 @p516 @p515 @p514 @p513 @p512 @p511 @p510 @p509 @p508 @p507 @p506 @p504) :args (@t379)) % 17.12/17.36 (step @p522 :rule refl :args (@t380)) % 17.12/17.36 (step @p523 :rule cong :premises (@p522 @p521) :args ((=> @t380 @t379))) % 17.12/17.36 (assume-push @p640 @t380) % 17.12/17.36 (step @p525 :rule instantiate :premises (@p503) :args ((@list @t202 @t253))) % 17.12/17.36 (step-pop @p641 :rule scope :premises (@p525)) % 17.12/17.36 (step @p526 :rule process_scope :premises (@p641) :args (@t379)) % 17.12/17.36 (step @p528 :rule eq_resolve :premises (@p526 @p523)) % 17.12/17.36 (step @p529 :rule implies_elim :premises (@p528)) % 17.12/17.36 (step @p530 :rule chain_m_resolution :premises (@p529 @p503) :args (@t381 @t225 (@list @t380))) % 17.12/17.36 (step @p531 :rule bool-double-not-elim :args (@t267)) % 17.12/17.36 (step @p532 :rule nary_cong :premises (@p324 @p531) :args ((or @t291 (not @t268)))) % 17.12/17.36 (step @p533 :rule cnf_or_neg :args (@t291 11)) % 17.12/17.36 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 17.12/17.36 (step @p535 :rule reordering :premises (@p534) :args ((or @t267 @t291))) % 17.12/17.36 (step @p536 :rule chain_m_resolution :premises (@p535 @p322) :args (@t267 @t292 @t293)) % 17.12/17.36 (step @p537 :rule bool-double-not-elim :args (@t269)) % 17.12/17.36 (step @p538 :rule nary_cong :premises (@p324 @p537) :args ((or @t291 (not @t270)))) % 17.12/17.36 (step @p539 :rule cnf_or_neg :args (@t291 10)) % 17.12/17.36 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 17.12/17.36 (step @p541 :rule reordering :premises (@p540) :args ((or @t269 @t291))) % 17.12/17.36 (step @p542 :rule chain_m_resolution :premises (@p541 @p322) :args (@t269 @t292 @t293)) % 17.12/17.36 (step @p543 :rule bool-double-not-elim :args (@t271)) % 17.12/17.36 (step @p544 :rule nary_cong :premises (@p324 @p543) :args ((or @t291 (not @t272)))) % 17.12/17.36 (step @p545 :rule cnf_or_neg :args (@t291 9)) % 17.12/17.36 (step @p546 :rule eq_resolve :premises (@p545 @p544)) % 17.12/17.36 (step @p547 :rule reordering :premises (@p546) :args ((or @t271 @t291))) % 17.12/17.36 (step @p548 :rule chain_m_resolution :premises (@p547 @p322) :args (@t271 @t292 @t293)) % 17.12/17.36 (step @p549 :rule bool-double-not-elim :args (@t273)) % 17.12/17.36 (step @p550 :rule nary_cong :premises (@p324 @p549) :args ((or @t291 (not @t274)))) % 17.12/17.36 (step @p551 :rule cnf_or_neg :args (@t291 8)) % 17.12/17.36 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 17.12/17.36 (step @p553 :rule reordering :premises (@p552) :args ((or @t273 @t291))) % 17.12/17.36 (step @p554 :rule chain_m_resolution :premises (@p553 @p322) :args (@t273 @t292 @t293)) % 17.12/17.36 (step @p555 :rule bool-double-not-elim :args (@t275)) % 17.12/17.36 (step @p556 :rule nary_cong :premises (@p324 @p555) :args ((or @t291 (not @t276)))) % 17.12/17.36 (step @p557 :rule cnf_or_neg :args (@t291 7)) % 17.12/17.36 (step @p558 :rule eq_resolve :premises (@p557 @p556)) % 17.12/17.36 (step @p559 :rule reordering :premises (@p558) :args ((or @t275 @t291))) % 17.12/17.36 (step @p560 :rule chain_m_resolution :premises (@p559 @p322) :args (@t275 @t292 @t293)) % 17.12/17.36 (step @p561 :rule bool-double-not-elim :args (@t281)) % 17.12/17.36 (step @p562 :rule nary_cong :premises (@p324 @p561) :args ((or @t291 (not @t282)))) % 17.12/17.36 (step @p563 :rule cnf_or_neg :args (@t291 4)) % 17.12/17.36 (step @p564 :rule eq_resolve :premises (@p563 @p562)) % 17.12/17.36 (step @p565 :rule reordering :premises (@p564) :args ((or @t281 @t291))) % 17.12/17.36 (step @p566 :rule chain_m_resolution :premises (@p565 @p322) :args (@t281 @t292 @t293)) % 17.12/17.36 (step @p567 :rule bool-double-not-elim :args (@t283)) % 17.12/17.36 (step @p568 :rule nary_cong :premises (@p324 @p567) :args ((or @t291 (not @t284)))) % 17.12/17.36 (step @p569 :rule cnf_or_neg :args (@t291 3)) % 17.12/17.36 (step @p570 :rule eq_resolve :premises (@p569 @p568)) % 17.12/17.36 (step @p571 :rule reordering :premises (@p570) :args ((or @t283 @t291))) % 17.12/17.36 (step @p572 :rule chain_m_resolution :premises (@p571 @p322) :args (@t283 @t292 @t293)) % 17.12/17.36 (step @p573 :rule bool-double-not-elim :args (@t285)) % 17.12/17.36 (step @p574 :rule nary_cong :premises (@p324 @p573) :args ((or @t291 (not @t286)))) % 17.12/17.36 (step @p575 :rule cnf_or_neg :args (@t291 2)) % 17.12/17.36 (step @p576 :rule eq_resolve :premises (@p575 @p574)) % 17.12/17.36 (step @p577 :rule reordering :premises (@p576) :args ((or @t285 @t291))) % 17.12/17.36 (step @p578 :rule chain_m_resolution :premises (@p577 @p322) :args (@t285 @t292 @t293)) % 17.12/17.36 (step @p579 :rule bool-double-not-elim :args (@t287)) % 17.12/17.36 (step @p580 :rule nary_cong :premises (@p324 @p579) :args ((or @t291 (not @t288)))) % 17.12/17.36 (step @p581 :rule cnf_or_neg :args (@t291 1)) % 17.12/17.36 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 17.12/17.36 (step @p583 :rule reordering :premises (@p582) :args ((or @t287 @t291))) % 17.12/17.36 (step @p584 :rule chain_m_resolution :premises (@p583 @p322) :args (@t287 @t292 @t293)) % 17.12/17.36 (step @p585 :rule bool-double-not-elim :args (@t289)) % 17.12/17.36 (step @p586 :rule nary_cong :premises (@p324 @p585) :args ((or @t291 (not @t290)))) % 17.12/17.36 (step @p587 :rule cnf_or_neg :args (@t291 0)) % 17.12/17.36 (step @p588 :rule eq_resolve :premises (@p587 @p586)) % 17.12/17.36 (step @p589 :rule reordering :premises (@p588) :args ((or @t289 @t291))) % 17.12/17.36 (step @p590 :rule chain_m_resolution :premises (@p589 @p322) :args (@t289 @t292 @t293)) % 17.12/17.36 (step @p591 :rule cnf_or_pos :args (@t381)) % 17.12/17.36 (step @p592 :rule reordering :premises (@p591) :args ((or @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t263 @t377 (not @t381)))) % 17.12/17.36 (step @p593 :rule chain_m_resolution :premises (@p592 @p590 @p584 @p578 @p572 @p566 @p447 @p397 @p560 @p554 @p548 @p542 @p536 @p335 @p329 @p409 @p530) :args (@t377 @t382 (@list @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t252 @t262 @t381))) % 17.12/17.36 (step @p594 :rule instantiate :premises (@p503) :args ((@list @t253 @t202))) % 17.12/17.36 (step @p595 :rule cnf_or_pos :args (@t384)) % 17.12/17.36 (step @p596 :rule reordering :premises (@p595) :args ((or @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t263 @t383 (not @t384)))) % 17.12/17.36 (step @p597 :rule chain_m_resolution :premises (@p596 @p590 @p584 @p578 @p572 @p566 @p447 @p397 @p560 @p554 @p548 @p542 @p536 @p335 @p329 @p409 @p594) :args (@t383 @t382 (@list @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t252 @t262 @t384))) % 17.12/17.36 (step @p598 :rule cnf_and_neg :args (@t385)) % 17.12/17.36 (step @p599 :rule reordering :premises (@p598) :args ((or (not @t383) (not @t377) @t385))) % 17.12/17.36 (step @p600 :rule chain_m_resolution :premises (@p599 @p597 @p593) :args (@t385 @t300 (@list @t383 @t377))) % 17.12/17.36 (step @p601 :rule cnf_equiv_pos2 :args (@t387)) % 17.12/17.36 (step @p602 :rule reordering :premises (@p601) :args ((or @t386 (not @t385) (not @t387)))) % 17.12/17.36 (step @p603 :rule chain_m_resolution :premises (@p602 @p600 @p473) :args (@t386 @t300 (@list @t385 @t387))) % 17.12/17.36 (step @p604 :rule symm :premises (@p603)) % 17.12/17.36 (step @p605 :rule trans :premises (@p604 @p472)) % 17.12/17.36 (step @p606 :rule eq-symm :args (@t390 @t256)) % 17.12/17.36 (step @p607 :rule eq-symm :args (@t205 @t255)) % 17.12/17.36 (step @p608 :rule eq-symm :args (@t329 @t206)) % 17.12/17.36 (step @p609 :rule refl :args (@t389)) % 17.12/17.36 (step @p610 :rule nary_cong :premises (@p609 @p608) :args (@t391)) % 17.12/17.36 (step @p611 :rule cong :premises (@p610 @p607) :args (@t392)) % 17.12/17.36 (step @p612 :rule trans :premises (@p611 @p606)) % 17.12/17.36 (step @p613 :rule nary_cong :premises (@p429 @p428 @p427 @p189 @p188 @p612) :args (@t393)) % 17.12/17.36 (step @p614 :rule cong :premises (@p194 @p613) :args ((=> @t223 @t393))) % 17.12/17.36 (assume-push @p642 @t223) % 17.12/17.36 (step @p616 :rule instantiate :premises (@p180) :args ((@list @t253 @t254 @t205))) % 17.12/17.36 (step-pop @p643 :rule scope :premises (@p616)) % 17.12/17.36 (step @p617 :rule process_scope :premises (@p643) :args (@t393)) % 17.12/17.36 (step @p619 :rule eq_resolve :premises (@p617 @p614)) % 17.12/17.36 (step @p620 :rule implies_elim :premises (@p619)) % 17.12/17.36 (step @p621 :rule chain_m_resolution :premises (@p620 @p180) :args (@t395 @t225 @t226)) % 17.12/17.36 (step @p622 :rule cnf_or_pos :args (@t395)) % 17.12/17.36 (step @p623 :rule reordering :premises (@p622) :args ((or @t344 @t343 @t341 @t214 @t216 @t394 (not @t395)))) % 17.12/17.36 (step @p624 :rule chain_m_resolution :premises (@p623 @p450 @p457 @p453 @p357 @p354 @p621) :args (@t394 @t306 (@list @t344 @t342 @t340 @t213 @t215 @t395))) % 17.12/17.36 (step @p625 :rule cnf_or_neg :args (@t291 15)) % 17.12/17.36 (step @p626 :rule chain_m_resolution :premises (@p625 @p322) :args ((not @t256) @t292 @t293)) % 17.12/17.36 (step @p627 :rule cnf_equiv_pos2 :args (@t394)) % 17.12/17.36 (step @p628 :rule reordering :premises (@p627) :args ((or @t256 @t396 (not @t394)))) % 17.12/17.36 (step @p629 :rule chain_m_resolution :premises (@p628 @p626 @p624) :args (@t396 @t397 (@list @t256 @t394))) % 17.12/17.36 (step @p630 :rule cnf_and_neg :args (@t390)) % 17.12/17.36 (step @p631 :rule chain_m_resolution :premises (@p630 @p629 @p605) :args ((not @t389) @t397 (@list @t390 @t388))) % 17.12/17.36 (step @p632 :rule false_intro :premises (@p631)) % 17.12/17.36 (step @p633 :rule symm :premises (@p632)) % 17.12/17.36 (step @p634 :rule trans :premises (@p633 @p417)) % 17.12/17.37 (step @p635 false :rule eq_resolve :premises (@p634 @p92)) % 17.12/17.37 ) % 17.12/17.37 % SZS output end Proof % 17.12/17.37 % cvc5 exiting %------------------------------------------------------------------------------