%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT363+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:30 AM UTC 2026 % Result : Theorem 36.10s 36.36s % Output : Proof 36.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : LAT363+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n024.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 01:50:15 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.35 %----Proving TF0_NAR, FOF, or CNF % 36.10/36.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.10/36.36 --- Run --no-e-matching --full-saturate-quant at 6... % 36.10/36.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.10/36.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.10/36.36 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.10/36.36 % SZS status Theorem % 36.10/36.36 % SZS output start Proof % 36.10/36.36 ( % 36.10/36.36 (declare-sort $$unsorted 0) % 36.10/36.36 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.k3_pre_topc (-> $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.k1_yellow_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.u1_pre_topc (-> $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.k8_yellow_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_t_0topsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v2_waybel34 (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_pre_topc (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.k8_waybel18 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.k1_xboole_0 $$unsorted) % 36.10/36.36 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.g1_pre_topc (-> $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.k7_waybel18 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 36.10/36.36 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 36.10/36.36 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 36.10/36.36 (define @t1 () (@var "C" $$unsorted)) % 36.10/36.36 (define @t2 () (@var "B" $$unsorted)) % 36.10/36.36 (define @t3 () (@var "A" $$unsorted)) % 36.10/36.36 (define @t4 () (tptp.k7_waybel18 @t3 @t2 @t1)) % 36.10/36.36 (define @t5 () (tptp.k8_waybel18 @t3 @t2 @t1)) % 36.10/36.36 (define @t6 () (tptp.v2_waybel34 @t1 @t3 @t2)) % 36.10/36.36 (define @t7 () (= @t6 (tptp.v1_t_0topsp @t5 @t3 @t4))) % 36.10/36.36 (define @t8 () (tptp.u1_struct_0 @t2)) % 36.10/36.36 (define @t9 () (tptp.u1_struct_0 @t3)) % 36.10/36.36 (define @t10 () (tptp.m2_relset_1 @t1 @t9 @t8)) % 36.10/36.36 (define @t11 () (tptp.v1_funct_2 @t1 @t9 @t8)) % 36.10/36.36 (define @t12 () (tptp.v1_funct_1 @t1)) % 36.10/36.36 (define @t13 () (and @t12 @t11 @t10)) % 36.10/36.36 (define @t14 () (@list @t1)) % 36.10/36.36 (define @t15 () (forall @t14 (=> @t13 @t7))) % 36.10/36.36 (define @t16 () (tptp.l1_pre_topc @t2)) % 36.10/36.36 (define @t17 () (tptp.v2_pre_topc @t2)) % 36.10/36.36 (define @t18 () (tptp.v3_struct_0 @t2)) % 36.10/36.36 (define @t19 () (not @t18)) % 36.10/36.36 (define @t20 () (and @t19 @t17 @t16)) % 36.10/36.36 (define @t21 () (=> @t20 @t15)) % 36.10/36.36 (define @t22 () (@list @t2)) % 36.10/36.36 (define @t23 () (forall @t22 @t21)) % 36.10/36.36 (define @t24 () (tptp.l1_pre_topc @t3)) % 36.10/36.36 (define @t25 () (tptp.v2_pre_topc @t3)) % 36.10/36.36 (define @t26 () (tptp.v3_struct_0 @t3)) % 36.10/36.36 (define @t27 () (not @t26)) % 36.10/36.36 (define @t28 () (and @t27 @t25 @t24)) % 36.10/36.36 (define @t29 () (=> @t28 @t23)) % 36.10/36.36 (define @t30 () (@list @t3)) % 36.10/36.36 (define @t31 () (forall @t30 @t29)) % 36.10/36.36 (define @t32 () (not @t31)) % 36.10/36.36 (define @t33 () (tptp.u1_pre_topc @t3)) % 36.10/36.36 (define @t34 () (tptp.v1_pre_topc @t3)) % 36.10/36.36 (define @t35 () (tptp.r2_hidden @t3 @t2)) % 36.10/36.36 (define @t36 () (@list @t3 @t2)) % 36.10/36.36 (define @t37 () (tptp.v1_xcmplx_0 @t2)) % 36.10/36.36 (define @t38 () (tptp.m1_subset_1 @t2 @t3)) % 36.10/36.36 (define @t39 () (tptp.v1_membered @t3)) % 36.10/36.36 (define @t40 () (tptp.v1_xreal_0 @t2)) % 36.10/36.36 (define @t41 () (tptp.v2_membered @t3)) % 36.10/36.36 (define @t42 () (tptp.v1_rat_1 @t2)) % 36.10/36.36 (define @t43 () (tptp.v3_membered @t3)) % 36.10/36.36 (define @t44 () (tptp.v1_int_1 @t2)) % 36.10/36.36 (define @t45 () (tptp.v4_membered @t3)) % 36.10/36.36 (define @t46 () (tptp.v5_membered @t3)) % 36.10/36.36 (define @t47 () (tptp.v1_xboole_0 @t3)) % 36.10/36.36 (define @t48 () (tptp.v1_membered @t2)) % 36.10/36.36 (define @t49 () (tptp.k1_zfmisc_1 @t3)) % 36.10/36.36 (define @t50 () (tptp.m1_subset_1 @t2 @t49)) % 36.10/36.36 (define @t51 () (tptp.v2_membered @t2)) % 36.10/36.36 (define @t52 () (tptp.v3_membered @t2)) % 36.10/36.36 (define @t53 () (tptp.v4_membered @t2)) % 36.10/36.36 (define @t54 () (tptp.v1_finset_1 @t3)) % 36.10/36.36 (define @t55 () (tptp.v1_funct_1 @t3)) % 36.10/36.36 (define @t56 () (tptp.m1_pre_topc @t2 @t3)) % 36.10/36.36 (define @t57 () (and @t25 @t24)) % 36.10/36.36 (define @t58 () (tptp.k2_zfmisc_1 @t3 @t2)) % 36.10/36.36 (define @t59 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t58))) % 36.10/36.36 (define @t60 () (@list @t3 @t2 @t1)) % 36.10/36.36 (define @t61 () (tptp.v4_pre_topc @t2 @t3)) % 36.10/36.36 (define @t62 () (tptp.v3_pre_topc @t2 @t3)) % 36.10/36.36 (define @t63 () (tptp.v1_xboole_0 @t2)) % 36.10/36.36 (define @t64 () (tptp.k1_zfmisc_1 @t9)) % 36.10/36.36 (define @t65 () (tptp.m1_subset_1 @t2 @t64)) % 36.10/36.36 (define @t66 () (tptp.v5_membered @t2)) % 36.10/36.36 (define @t67 () (tptp.v1_finset_1 @t2)) % 36.10/36.36 (define @t68 () (tptp.v1_relat_1 @t3)) % 36.10/36.36 (define @t69 () (and @t68 @t55 (tptp.v2_funct_1 @t3))) % 36.10/36.36 (define @t70 () (and @t68 @t47 @t55)) % 36.10/36.36 (define @t71 () (tptp.v2_tops_1 @t2 @t3)) % 36.10/36.36 (define @t72 () (tptp.v3_tops_1 @t2 @t3)) % 36.10/36.36 (define @t73 () (@var "D" $$unsorted)) % 36.10/36.36 (define @t74 () (tptp.k4_pre_topc @t3 @t2 @t1 @t73)) % 36.10/36.36 (define @t75 () (tptp.v3_pre_topc @t74 @t2)) % 36.10/36.36 (define @t76 () (tptp.v3_pre_topc @t73 @t3)) % 36.10/36.36 (define @t77 () (=> @t76 @t75)) % 36.10/36.36 (define @t78 () (tptp.m1_subset_1 @t73 @t64)) % 36.10/36.36 (define @t79 () (@list @t73)) % 36.10/36.36 (define @t80 () (forall @t79 (=> @t78 @t77))) % 36.10/36.36 (define @t81 () (tptp.v1_t_0topsp @t1 @t3 @t2)) % 36.10/36.36 (define @t82 () (= @t81 @t80)) % 36.10/36.36 (define @t83 () (=> @t13 @t82)) % 36.10/36.36 (define @t84 () (forall @t14 @t83)) % 36.10/36.36 (define @t85 () (=> @t16 @t84)) % 36.10/36.36 (define @t86 () (forall @t22 @t85)) % 36.10/36.36 (define @t87 () (=> @t24 @t86)) % 36.10/36.36 (define @t88 () (forall @t30 @t87)) % 36.10/36.36 (define @t89 () (tptp.k1_yellow_2 @t3 @t2 @t1)) % 36.10/36.36 (define @t90 () (tptp.k3_pre_topc @t2 @t89)) % 36.10/36.36 (define @t91 () (= @t4 @t90)) % 36.10/36.36 (define @t92 () (forall @t14 (=> @t13 @t91))) % 36.10/36.36 (define @t93 () (=> @t16 @t92)) % 36.10/36.36 (define @t94 () (forall @t22 @t93)) % 36.10/36.36 (define @t95 () (tptp.l1_struct_0 @t3)) % 36.10/36.36 (define @t96 () (=> @t95 @t94)) % 36.10/36.36 (define @t97 () (forall @t30 @t96)) % 36.10/36.36 (define @t98 () (=> @t13 (= @t5 @t1))) % 36.10/36.36 (define @t99 () (forall @t14 @t98)) % 36.10/36.36 (define @t100 () (and @t19 @t16)) % 36.10/36.36 (define @t101 () (=> @t100 @t99)) % 36.10/36.36 (define @t102 () (forall @t22 @t101)) % 36.10/36.36 (define @t103 () (=> @t95 @t102)) % 36.10/36.36 (define @t104 () (forall @t30 @t103)) % 36.10/36.36 (define @t105 () (and (tptp.v3_pre_topc @t74 @t90) (tptp.m1_subset_1 @t74 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t90))))) % 36.10/36.36 (define @t106 () (and @t76 @t78)) % 36.10/36.36 (define @t107 () (forall @t79 (=> @t106 @t105))) % 36.10/36.36 (define @t108 () (= @t6 @t107)) % 36.10/36.36 (define @t109 () (=> @t13 @t108)) % 36.10/36.36 (define @t110 () (forall @t14 @t109)) % 36.10/36.36 (define @t111 () (and @t17 @t16)) % 36.10/36.36 (define @t112 () (=> @t111 @t110)) % 36.10/36.36 (define @t113 () (forall @t22 @t112)) % 36.10/36.36 (define @t114 () (=> @t57 @t113)) % 36.10/36.36 (define @t115 () (forall @t30 @t114)) % 36.10/36.36 (define @t116 () (tptp.g1_pre_topc @t3 @t2)) % 36.10/36.36 (define @t117 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t49))) % 36.10/36.36 (define @t118 () (tptp.k1_zfmisc_1 @t8)) % 36.10/36.36 (define @t119 () (tptp.m1_relset_1 @t1 @t9 @t8)) % 36.10/36.36 (define @t120 () (tptp.l1_struct_0 @t2)) % 36.10/36.36 (define @t121 () (and @t95 @t120 @t12 @t11 @t119)) % 36.10/36.36 (define @t122 () (tptp.k3_pre_topc @t3 @t2)) % 36.10/36.36 (define @t123 () (tptp.v1_pre_topc @t122)) % 36.10/36.36 (define @t124 () (tptp.m1_subset_1 @t74 @t118)) % 36.10/36.36 (define @t125 () (@list @t3 @t2 @t1 @t73)) % 36.10/36.36 (define @t126 () (forall @t125 (=> @t121 @t124))) % 36.10/36.36 (define @t127 () (tptp.m1_pre_topc @t4 @t2)) % 36.10/36.36 (define @t128 () (and @t95 @t16 @t12 @t11 @t119)) % 36.10/36.36 (define @t129 () (forall @t60 (=> @t128 @t127))) % 36.10/36.36 (define @t130 () (tptp.u1_struct_0 @t4)) % 36.10/36.36 (define @t131 () (and (tptp.v1_funct_1 @t5) (tptp.v1_funct_2 @t5 @t9 @t130) (tptp.m2_relset_1 @t5 @t9 @t130))) % 36.10/36.36 (define @t132 () (and @t95 @t19 @t16 @t12 @t11 @t119)) % 36.10/36.36 (define @t133 () (forall @t60 (=> @t132 @t131))) % 36.10/36.36 (define @t134 () (tptp.k8_yellow_2 @t3 @t2 @t1)) % 36.10/36.36 (define @t135 () (and @t19 @t120 @t12 (tptp.v1_funct_2 @t1 @t3 @t8) (tptp.m1_relset_1 @t1 @t3 @t8))) % 36.10/36.36 (define @t136 () (forall @t30 (=> @t24 @t95))) % 36.10/36.36 (define @t137 () (forall @t22 (=> @t56 @t16))) % 36.10/36.36 (define @t138 () (=> @t24 @t137)) % 36.10/36.36 (define @t139 () (forall @t30 @t138)) % 36.10/36.36 (define @t140 () (tptp.m2_relset_1 @t1 @t3 @t2)) % 36.10/36.36 (define @t141 () (tptp.m1_relset_1 @t1 @t3 @t2)) % 36.10/36.36 (define @t142 () (and @t27 @t95)) % 36.10/36.36 (define @t143 () (tptp.k9_relat_1 @t1 @t73)) % 36.10/36.36 (define @t144 () (not @t63)) % 36.10/36.36 (define @t145 () (not @t47)) % 36.10/36.36 (define @t146 () (tptp.v1_pre_topc @t2)) % 36.10/36.36 (define @t147 () (tptp.k2_relat_1 @t1)) % 36.10/36.36 (define @t148 () (= @t74 @t143)) % 36.10/36.36 (define @t149 () (forall @t125 (=> @t121 @t148))) % 36.10/36.36 (define @t150 () (tptp.m1_subset_1 @t3 @t2)) % 36.10/36.36 (define @t151 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 36.10/36.36 (define @t152 () (@var "BOUND_VARIABLE_8558" $$unsorted)) % 36.10/36.36 (define @t153 () (@var "BOUND_VARIABLE_8556" $$unsorted)) % 36.10/36.36 (define @t154 () (= (tptp.k7_waybel18 @t3 @t153 @t152) (tptp.k3_pre_topc @t153 (tptp.k1_yellow_2 @t3 @t153 @t152)))) % 36.10/36.36 (define @t155 () (tptp.u1_struct_0 @t153)) % 36.10/36.36 (define @t156 () (not (tptp.m2_relset_1 @t152 @t9 @t155))) % 36.10/36.36 (define @t157 () (not (tptp.v1_funct_2 @t152 @t9 @t155))) % 36.10/36.36 (define @t158 () (not (tptp.v1_funct_1 @t152))) % 36.10/36.36 (define @t159 () (not (tptp.l1_pre_topc @t153))) % 36.10/36.36 (define @t160 () (not @t95)) % 36.10/36.36 (define @t161 () (or @t159 @t158 @t157 @t156 @t154)) % 36.10/36.36 (define @t162 () (or @t160 @t161)) % 36.10/36.36 (define @t163 () (forall (@list @t3 @t153 @t152) @t162)) % 36.10/36.36 (define @t164 () (@list @t153 @t152)) % 36.10/36.36 (define @t165 () (forall @t164 @t162)) % 36.10/36.36 (define @t166 () (forall @t164 @t161)) % 36.10/36.36 (define @t167 () (@var "BOUND_VARIABLE_8533" $$unsorted)) % 36.10/36.36 (define @t168 () (or @t160 @t166)) % 36.10/36.36 (define @t169 () (= (tptp.k7_waybel18 @t3 @t2 @t167) (tptp.k3_pre_topc @t2 (tptp.k1_yellow_2 @t3 @t2 @t167)))) % 36.10/36.36 (define @t170 () (not (tptp.m2_relset_1 @t167 @t9 @t8))) % 36.10/36.36 (define @t171 () (not (tptp.v1_funct_2 @t167 @t9 @t8))) % 36.10/36.36 (define @t172 () (not (tptp.v1_funct_1 @t167))) % 36.10/36.36 (define @t173 () (not @t16)) % 36.10/36.36 (define @t174 () (or @t173 @t172 @t171 @t170 @t169)) % 36.10/36.36 (define @t175 () (@list @t2 @t167)) % 36.10/36.36 (define @t176 () (forall @t175 @t174)) % 36.10/36.36 (define @t177 () (or @t172 @t171 @t170 @t169)) % 36.10/36.36 (define @t178 () (or @t173 @t177)) % 36.10/36.36 (define @t179 () (forall @t175 @t178)) % 36.10/36.36 (define @t180 () (@list @t167)) % 36.10/36.36 (define @t181 () (forall @t180 @t178)) % 36.10/36.36 (define @t182 () (forall @t180 @t177)) % 36.10/36.36 (define @t183 () (@list @t1)) % 36.10/36.36 (define @t184 () (or @t173 @t182)) % 36.10/36.36 (define @t185 () (not @t10)) % 36.10/36.36 (define @t186 () (not @t11)) % 36.10/36.36 (define @t187 () (not @t12)) % 36.10/36.36 (define @t188 () (or @t187 @t186 @t185 @t91)) % 36.10/36.36 (define @t189 () (forall @t14 @t188)) % 36.10/36.36 (define @t190 () (or @t187 @t186 @t185)) % 36.10/36.36 (define @t191 () (not @t13)) % 36.10/36.36 (define @t192 () (@var "BOUND_VARIABLE_7990" $$unsorted)) % 36.10/36.36 (define @t193 () (@var "BOUND_VARIABLE_7988" $$unsorted)) % 36.10/36.36 (define @t194 () (= (tptp.v2_waybel34 @t192 @t3 @t193) (tptp.v1_t_0topsp (tptp.k8_waybel18 @t3 @t193 @t192) @t3 (tptp.k7_waybel18 @t3 @t193 @t192)))) % 36.10/36.36 (define @t195 () (tptp.u1_struct_0 @t193)) % 36.10/36.36 (define @t196 () (not (tptp.m2_relset_1 @t192 @t9 @t195))) % 36.10/36.36 (define @t197 () (not (tptp.v1_funct_2 @t192 @t9 @t195))) % 36.10/36.36 (define @t198 () (not (tptp.v1_funct_1 @t192))) % 36.10/36.36 (define @t199 () (not (tptp.l1_pre_topc @t193))) % 36.10/36.36 (define @t200 () (not (tptp.v2_pre_topc @t193))) % 36.10/36.36 (define @t201 () (tptp.v3_struct_0 @t193)) % 36.10/36.36 (define @t202 () (not @t24)) % 36.10/36.36 (define @t203 () (not @t25)) % 36.10/36.36 (define @t204 () (or @t26 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t194)) % 36.10/36.36 (define @t205 () (@list @t3 @t193 @t192)) % 36.10/36.36 (define @t206 () (forall @t205 @t204)) % 36.10/36.36 (define @t207 () (@quantifiers_skolemize @t206 2)) % 36.10/36.36 (define @t208 () (@quantifiers_skolemize @t206 1)) % 36.10/36.36 (define @t209 () (@quantifiers_skolemize @t206 0)) % 36.10/36.36 (define @t210 () (@list @t209 @t208 @t207)) % 36.10/36.36 (define @t211 () (or @t201 @t200 @t199 @t198 @t197 @t196 @t194)) % 36.10/36.36 (define @t212 () (or @t26 @t203 @t202 @t211)) % 36.10/36.36 (define @t213 () (forall @t205 @t212)) % 36.10/36.36 (define @t214 () (@list @t193 @t192)) % 36.10/36.36 (define @t215 () (forall @t214 @t212)) % 36.10/36.36 (define @t216 () (forall @t214 @t211)) % 36.10/36.36 (define @t217 () (@var "BOUND_VARIABLE_7961" $$unsorted)) % 36.10/36.36 (define @t218 () (or @t26 @t203 @t202 @t216)) % 36.10/36.36 (define @t219 () (= (tptp.v2_waybel34 @t217 @t3 @t2) (tptp.v1_t_0topsp (tptp.k8_waybel18 @t3 @t2 @t217) @t3 (tptp.k7_waybel18 @t3 @t2 @t217)))) % 36.10/36.36 (define @t220 () (not (tptp.m2_relset_1 @t217 @t9 @t8))) % 36.10/36.36 (define @t221 () (not (tptp.v1_funct_2 @t217 @t9 @t8))) % 36.10/36.36 (define @t222 () (not (tptp.v1_funct_1 @t217))) % 36.10/36.36 (define @t223 () (not @t17)) % 36.10/36.36 (define @t224 () (or @t18 @t223 @t173 @t222 @t221 @t220 @t219)) % 36.10/36.36 (define @t225 () (@list @t2 @t217)) % 36.10/36.36 (define @t226 () (forall @t225 @t224)) % 36.10/36.36 (define @t227 () (or @t26 @t203 @t202 @t226)) % 36.10/36.36 (define @t228 () (not @t27)) % 36.10/36.36 (define @t229 () (or @t228 @t203 @t202)) % 36.10/36.36 (define @t230 () (or @t203 @t202)) % 36.10/36.36 (define @t231 () (not @t57)) % 36.10/36.36 (define @t232 () (or @t222 @t221 @t220 @t219)) % 36.10/36.36 (define @t233 () (or @t18 @t223 @t173 @t232)) % 36.10/36.36 (define @t234 () (forall @t225 @t233)) % 36.10/36.36 (define @t235 () (@list @t217)) % 36.10/36.36 (define @t236 () (forall @t235 @t233)) % 36.10/36.36 (define @t237 () (forall @t235 @t232)) % 36.10/36.36 (define @t238 () (or @t18 @t223 @t173 @t237)) % 36.10/36.36 (define @t239 () (or @t187 @t186 @t185 @t7)) % 36.10/36.36 (define @t240 () (forall @t14 @t239)) % 36.10/36.36 (define @t241 () (or @t18 @t223 @t173 @t240)) % 36.10/36.36 (define @t242 () (not @t19)) % 36.10/36.36 (define @t243 () (or @t242 @t223 @t173)) % 36.10/36.36 (define @t244 () (or @t223 @t173)) % 36.10/36.36 (define @t245 () (not @t111)) % 36.10/36.36 (define @t246 () (tptp.l1_pre_topc @t209)) % 36.10/36.36 (define @t247 () (tptp.k7_waybel18 @t209 @t208 @t207)) % 36.10/36.36 (define @t248 () (tptp.k8_waybel18 @t209 @t208 @t207)) % 36.10/36.36 (define @t249 () (tptp.v1_t_0topsp @t248 @t209 @t247)) % 36.10/36.36 (define @t250 () (tptp.v2_waybel34 @t207 @t209 @t208)) % 36.10/36.36 (define @t251 () (= @t250 @t249)) % 36.10/36.36 (define @t252 () (tptp.u1_struct_0 @t208)) % 36.10/36.36 (define @t253 () (tptp.u1_struct_0 @t209)) % 36.10/36.36 (define @t254 () (tptp.m2_relset_1 @t207 @t253 @t252)) % 36.10/36.36 (define @t255 () (not @t254)) % 36.10/36.36 (define @t256 () (tptp.v1_funct_2 @t207 @t253 @t252)) % 36.10/36.36 (define @t257 () (not @t256)) % 36.10/36.36 (define @t258 () (tptp.v1_funct_1 @t207)) % 36.10/36.36 (define @t259 () (not @t258)) % 36.10/36.36 (define @t260 () (tptp.l1_pre_topc @t208)) % 36.10/36.36 (define @t261 () (not @t260)) % 36.10/36.36 (define @t262 () (tptp.v2_pre_topc @t208)) % 36.10/36.36 (define @t263 () (not @t262)) % 36.10/36.36 (define @t264 () (tptp.v3_struct_0 @t208)) % 36.10/36.36 (define @t265 () (not @t246)) % 36.10/36.36 (define @t266 () (tptp.v2_pre_topc @t209)) % 36.10/36.36 (define @t267 () (not @t266)) % 36.10/36.36 (define @t268 () (or (tptp.v3_struct_0 @t209) @t267 @t265 @t264 @t263 @t261 @t259 @t257 @t255 @t251)) % 36.10/36.36 (define @t269 () (@list true)) % 36.10/36.36 (define @t270 () (@list @t268)) % 36.10/36.36 (define @t271 () (tptp.l1_struct_0 @t209)) % 36.10/36.36 (define @t272 () (or @t265 @t271)) % 36.10/36.36 (define @t273 () (@list false false)) % 36.10/36.36 (define @t274 () (tptp.k3_pre_topc @t208 (tptp.k1_yellow_2 @t209 @t208 @t207))) % 36.10/36.36 (define @t275 () (= @t247 @t274)) % 36.10/36.36 (define @t276 () (not @t271)) % 36.10/36.36 (define @t277 () (or @t276 @t261 @t259 @t257 @t255 @t275)) % 36.10/36.36 (define @t278 () (@list false false false false false false)) % 36.10/36.36 (define @t279 () (not @t119)) % 36.10/36.36 (define @t280 () (not @t120)) % 36.10/36.36 (define @t281 () (or @t160 @t280 @t187 @t186 @t279 @t148)) % 36.10/36.36 (define @t282 () (or @t160 @t280 @t187 @t186 @t279)) % 36.10/36.36 (define @t283 () (or @t187 (or @t186 @t279))) % 36.10/36.36 (define @t284 () (not (and @t12 @t11 @t119))) % 36.10/36.36 (define @t285 () (not @t121)) % 36.10/36.36 (define @t286 () (tptp.u1_struct_0 @t274)) % 36.10/36.36 (define @t287 () (tptp.k1_zfmisc_1 @t286)) % 36.10/36.36 (define @t288 () (tptp.k4_pre_topc @t209 @t208 @t207 @t73)) % 36.10/36.36 (define @t289 () (tptp.k1_zfmisc_1 @t253)) % 36.10/36.36 (define @t290 () (not (tptp.m1_subset_1 @t73 @t289))) % 36.10/36.36 (define @t291 () (not (tptp.v3_pre_topc @t73 @t209))) % 36.10/36.36 (define @t292 () (forall @t79 (or @t291 @t290 (and (tptp.v3_pre_topc @t288 @t274) (tptp.m1_subset_1 @t288 @t287))))) % 36.10/36.36 (define @t293 () (@quantifiers_skolemize @t292 0)) % 36.10/36.36 (define @t294 () (tptp.m1_relset_1 @t207 @t253 @t252)) % 36.10/36.36 (define @t295 () (= @t254 @t294)) % 36.10/36.36 (define @t296 () (tptp.l1_struct_0 @t208)) % 36.10/36.36 (define @t297 () (or @t261 @t296)) % 36.10/36.36 (define @t298 () (tptp.k9_relat_1 @t207 @t293)) % 36.10/36.36 (define @t299 () (tptp.k4_pre_topc @t209 @t208 @t207 @t293)) % 36.10/36.36 (define @t300 () (= @t299 @t298)) % 36.10/36.36 (define @t301 () (not @t294)) % 36.10/36.36 (define @t302 () (not @t296)) % 36.10/36.36 (define @t303 () (or @t276 @t302 @t259 @t257 @t301 @t300)) % 36.10/36.36 (define @t304 () (tptp.k4_pre_topc @t209 @t247 @t207 @t293)) % 36.10/36.36 (define @t305 () (tptp.u1_struct_0 @t247)) % 36.10/36.36 (define @t306 () (tptp.m1_relset_1 @t207 @t253 @t305)) % 36.10/36.36 (define @t307 () (not @t306)) % 36.10/36.36 (define @t308 () (tptp.v1_funct_2 @t207 @t253 @t305)) % 36.10/36.36 (define @t309 () (not @t308)) % 36.10/36.36 (define @t310 () (tptp.l1_struct_0 @t247)) % 36.10/36.36 (define @t311 () (not @t310)) % 36.10/36.36 (define @t312 () (or @t276 @t311 @t259 @t309 @t307 (= @t304 @t298))) % 36.10/36.36 (define @t313 () (forall @t125 @t281)) % 36.10/36.36 (define @t314 () (@list @t209 @t247 @t207 @t293)) % 36.10/36.36 (define @t315 () (= @t298 @t304)) % 36.10/36.36 (define @t316 () (or @t276 @t311 @t259 @t309 @t307 @t315)) % 36.10/36.36 (define @t317 () (@list false)) % 36.10/36.36 (define @t318 () (or @t160 @t242 @t173 @t187 @t186 @t279)) % 36.10/36.36 (define @t319 () (or @t173 @t283)) % 36.10/36.36 (define @t320 () (not (and @t16 @t12 @t11 @t119))) % 36.10/36.36 (define @t321 () (tptp.m2_relset_1 @t248 @t253 @t305)) % 36.10/36.36 (define @t322 () (tptp.v1_funct_2 @t248 @t253 @t305)) % 36.10/36.36 (define @t323 () (tptp.v1_funct_1 @t248)) % 36.10/36.36 (define @t324 () (and @t323 @t322 @t321)) % 36.10/36.36 (define @t325 () (or @t276 @t264 @t261 @t259 @t257 @t301 @t324)) % 36.10/36.36 (define @t326 () (@list true false false false false false false)) % 36.10/36.36 (define @t327 () (not @t324)) % 36.10/36.36 (define @t328 () (@list @t324)) % 36.10/36.36 (define @t329 () (tptp.m1_relset_1 @t248 @t253 @t305)) % 36.10/36.36 (define @t330 () (= @t321 @t329)) % 36.10/36.36 (define @t331 () (not @t321)) % 36.10/36.36 (define @t332 () (@var "BOUND_VARIABLE_8613" $$unsorted)) % 36.10/36.36 (define @t333 () (@var "BOUND_VARIABLE_8611" $$unsorted)) % 36.10/36.36 (define @t334 () (= @t332 (tptp.k8_waybel18 @t3 @t333 @t332))) % 36.10/36.36 (define @t335 () (tptp.u1_struct_0 @t333)) % 36.10/36.36 (define @t336 () (not (tptp.m2_relset_1 @t332 @t9 @t335))) % 36.10/36.36 (define @t337 () (not (tptp.v1_funct_2 @t332 @t9 @t335))) % 36.10/36.36 (define @t338 () (not (tptp.v1_funct_1 @t332))) % 36.10/36.36 (define @t339 () (not (tptp.l1_pre_topc @t333))) % 36.10/36.36 (define @t340 () (tptp.v3_struct_0 @t333)) % 36.10/36.36 (define @t341 () (or @t340 @t339 @t338 @t337 @t336 @t334)) % 36.10/36.36 (define @t342 () (or @t160 @t341)) % 36.10/36.36 (define @t343 () (forall (@list @t3 @t333 @t332) @t342)) % 36.10/36.36 (define @t344 () (@list @t333 @t332)) % 36.10/36.36 (define @t345 () (forall @t344 @t342)) % 36.10/36.36 (define @t346 () (forall @t344 @t341)) % 36.10/36.36 (define @t347 () (@var "BOUND_VARIABLE_8591" $$unsorted)) % 36.10/36.36 (define @t348 () (or @t160 @t346)) % 36.10/36.36 (define @t349 () (= @t347 (tptp.k8_waybel18 @t3 @t2 @t347))) % 36.10/36.36 (define @t350 () (not (tptp.m2_relset_1 @t347 @t9 @t8))) % 36.10/36.36 (define @t351 () (not (tptp.v1_funct_2 @t347 @t9 @t8))) % 36.10/36.36 (define @t352 () (not (tptp.v1_funct_1 @t347))) % 36.10/36.36 (define @t353 () (or @t18 @t173 @t352 @t351 @t350 @t349)) % 36.10/36.36 (define @t354 () (@list @t2 @t347)) % 36.10/36.36 (define @t355 () (forall @t354 @t353)) % 36.10/36.36 (define @t356 () (or @t352 @t351 @t350 @t349)) % 36.10/36.36 (define @t357 () (or @t18 @t173 @t356)) % 36.10/36.36 (define @t358 () (forall @t354 @t357)) % 36.10/36.36 (define @t359 () (@list @t347)) % 36.10/36.36 (define @t360 () (forall @t359 @t357)) % 36.10/36.36 (define @t361 () (forall @t359 @t356)) % 36.10/36.36 (define @t362 () (or @t18 @t173 @t361)) % 36.10/36.36 (define @t363 () (= @t1 @t5)) % 36.10/36.36 (define @t364 () (or @t187 @t186 @t185 @t363)) % 36.10/36.36 (define @t365 () (forall @t14 @t364)) % 36.10/36.36 (define @t366 () (or @t18 @t173 @t365)) % 36.10/36.36 (define @t367 () (= @t207 @t248)) % 36.10/36.36 (define @t368 () (or @t276 @t264 @t261 @t259 @t257 @t255 @t367)) % 36.10/36.36 (define @t369 () (@var "BOUND_VARIABLE_8758" $$unsorted)) % 36.10/36.36 (define @t370 () (tptp.l1_pre_topc @t369)) % 36.10/36.36 (define @t371 () (not (tptp.m1_pre_topc @t369 @t3))) % 36.10/36.36 (define @t372 () (or @t371 @t370)) % 36.10/36.36 (define @t373 () (or @t202 @t372)) % 36.10/36.36 (define @t374 () (forall (@list @t3 @t369) @t373)) % 36.10/36.36 (define @t375 () (@list @t369)) % 36.10/36.36 (define @t376 () (forall @t375 @t373)) % 36.10/36.36 (define @t377 () (forall @t375 @t372)) % 36.10/36.36 (define @t378 () (or @t202 @t377)) % 36.10/36.36 (define @t379 () (forall @t22 (or (not @t56) @t16))) % 36.10/36.36 (define @t380 () (or @t160 @t173 @t187 @t186 @t279)) % 36.10/36.36 (define @t381 () (tptp.m1_pre_topc @t247 @t208)) % 36.10/36.36 (define @t382 () (or @t276 @t261 @t259 @t257 @t301 @t381)) % 36.10/36.36 (define @t383 () (tptp.l1_pre_topc @t247)) % 36.10/36.36 (define @t384 () (not @t381)) % 36.10/36.36 (define @t385 () (or @t261 @t384 @t383)) % 36.10/36.36 (define @t386 () (@list false false false)) % 36.10/36.36 (define @t387 () (not @t383)) % 36.10/36.36 (define @t388 () (or @t387 @t310)) % 36.10/36.36 (define @t389 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 36.10/36.36 (define @t390 () (@var "BOUND_VARIABLE_8503" $$unsorted)) % 36.10/36.36 (define @t391 () (not @t76)) % 36.10/36.36 (define @t392 () (not @t78)) % 36.10/36.36 (define @t393 () (= (tptp.v1_t_0topsp @t390 @t3 @t389) (forall @t79 (or @t392 @t391 (tptp.v3_pre_topc (tptp.k4_pre_topc @t3 @t389 @t390 @t73) @t389))))) % 36.10/36.36 (define @t394 () (tptp.u1_struct_0 @t389)) % 36.10/36.36 (define @t395 () (not (tptp.m2_relset_1 @t390 @t9 @t394))) % 36.10/36.36 (define @t396 () (not (tptp.v1_funct_2 @t390 @t9 @t394))) % 36.10/36.36 (define @t397 () (not (tptp.v1_funct_1 @t390))) % 36.10/36.36 (define @t398 () (not (tptp.l1_pre_topc @t389))) % 36.10/36.36 (define @t399 () (or @t398 @t397 @t396 @t395 @t393)) % 36.10/36.36 (define @t400 () (or @t202 @t399)) % 36.10/36.36 (define @t401 () (forall (@list @t3 @t389 @t390) @t400)) % 36.10/36.36 (define @t402 () (@list @t389 @t390)) % 36.10/36.36 (define @t403 () (forall @t402 @t400)) % 36.10/36.36 (define @t404 () (forall @t402 @t399)) % 36.10/36.36 (define @t405 () (@var "BOUND_VARIABLE_8477" $$unsorted)) % 36.10/36.36 (define @t406 () (or @t202 @t404)) % 36.10/36.36 (define @t407 () (= (tptp.v1_t_0topsp @t405 @t3 @t2) (forall @t79 (or @t392 @t391 (tptp.v3_pre_topc (tptp.k4_pre_topc @t3 @t2 @t405 @t73) @t2))))) % 36.10/36.36 (define @t408 () (not (tptp.m2_relset_1 @t405 @t9 @t8))) % 36.10/36.36 (define @t409 () (not (tptp.v1_funct_2 @t405 @t9 @t8))) % 36.10/36.36 (define @t410 () (not (tptp.v1_funct_1 @t405))) % 36.10/36.36 (define @t411 () (or @t173 @t410 @t409 @t408 @t407)) % 36.10/36.36 (define @t412 () (@list @t2 @t405)) % 36.10/36.36 (define @t413 () (forall @t412 @t411)) % 36.10/36.36 (define @t414 () (or @t410 @t409 @t408 @t407)) % 36.10/36.36 (define @t415 () (or @t173 @t414)) % 36.10/36.36 (define @t416 () (forall @t412 @t415)) % 36.10/36.36 (define @t417 () (@list @t405)) % 36.10/36.36 (define @t418 () (forall @t417 @t415)) % 36.10/36.36 (define @t419 () (forall @t417 @t414)) % 36.10/36.36 (define @t420 () (or @t173 @t419)) % 36.10/36.36 (define @t421 () (or @t392 @t391 @t75)) % 36.10/36.36 (define @t422 () (= @t81 (forall @t79 @t421))) % 36.10/36.36 (define @t423 () (or @t187 @t186 @t185 @t422)) % 36.10/36.36 (define @t424 () (forall @t14 @t423)) % 36.10/36.36 (define @t425 () (forall @t79 (or @t290 @t291 (tptp.v3_pre_topc (tptp.k4_pre_topc @t209 @t247 @t248 @t73) @t247)))) % 36.10/36.36 (define @t426 () (= @t249 @t425)) % 36.10/36.36 (define @t427 () (not @t322)) % 36.10/36.36 (define @t428 () (not @t323)) % 36.10/36.36 (define @t429 () (or @t265 @t387 @t428 @t427 @t331 @t426)) % 36.10/36.36 (define @t430 () (@var "BOUND_VARIABLE_8681" $$unsorted)) % 36.10/36.36 (define @t431 () (@var "BOUND_VARIABLE_8679" $$unsorted)) % 36.10/36.36 (define @t432 () (tptp.k3_pre_topc @t431 (tptp.k1_yellow_2 @t3 @t431 @t430))) % 36.10/36.36 (define @t433 () (tptp.k4_pre_topc @t3 @t431 @t430 @t73)) % 36.10/36.36 (define @t434 () (= (tptp.v2_waybel34 @t430 @t3 @t431) (forall @t79 (or @t391 @t392 (and (tptp.v3_pre_topc @t433 @t432) (tptp.m1_subset_1 @t433 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t432)))))))) % 36.10/36.36 (define @t435 () (tptp.u1_struct_0 @t431)) % 36.10/36.36 (define @t436 () (not (tptp.m2_relset_1 @t430 @t9 @t435))) % 36.10/36.36 (define @t437 () (not (tptp.v1_funct_2 @t430 @t9 @t435))) % 36.10/36.36 (define @t438 () (not (tptp.v1_funct_1 @t430))) % 36.10/36.36 (define @t439 () (not (tptp.l1_pre_topc @t431))) % 36.10/36.36 (define @t440 () (not (tptp.v2_pre_topc @t431))) % 36.10/36.36 (define @t441 () (or @t440 @t439 @t438 @t437 @t436 @t434)) % 36.10/36.36 (define @t442 () (or @t203 @t202 @t441)) % 36.10/36.36 (define @t443 () (forall (@list @t3 @t431 @t430) @t442)) % 36.10/36.36 (define @t444 () (@list @t431 @t430)) % 36.10/36.36 (define @t445 () (forall @t444 @t442)) % 36.10/36.36 (define @t446 () (forall @t444 @t441)) % 36.10/36.36 (define @t447 () (@var "BOUND_VARIABLE_8649" $$unsorted)) % 36.10/36.36 (define @t448 () (or @t203 @t202 @t446)) % 36.10/36.36 (define @t449 () (tptp.k3_pre_topc @t2 (tptp.k1_yellow_2 @t3 @t2 @t447))) % 36.10/36.36 (define @t450 () (tptp.k4_pre_topc @t3 @t2 @t447 @t73)) % 36.10/36.36 (define @t451 () (= (tptp.v2_waybel34 @t447 @t3 @t2) (forall @t79 (or @t391 @t392 (and (tptp.v3_pre_topc @t450 @t449) (tptp.m1_subset_1 @t450 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t449)))))))) % 36.10/36.36 (define @t452 () (not (tptp.m2_relset_1 @t447 @t9 @t8))) % 36.10/36.36 (define @t453 () (not (tptp.v1_funct_2 @t447 @t9 @t8))) % 36.10/36.36 (define @t454 () (not (tptp.v1_funct_1 @t447))) % 36.10/36.36 (define @t455 () (or @t223 @t173 @t454 @t453 @t452 @t451)) % 36.10/36.36 (define @t456 () (@list @t2 @t447)) % 36.10/36.36 (define @t457 () (forall @t456 @t455)) % 36.10/36.36 (define @t458 () (or @t203 @t202 @t457)) % 36.10/36.36 (define @t459 () (or @t454 @t453 @t452 @t451)) % 36.10/36.36 (define @t460 () (or @t223 @t173 @t459)) % 36.10/36.36 (define @t461 () (forall @t456 @t460)) % 36.10/36.36 (define @t462 () (@list @t447)) % 36.10/36.36 (define @t463 () (forall @t462 @t460)) % 36.10/36.36 (define @t464 () (forall @t462 @t459)) % 36.10/36.36 (define @t465 () (or @t223 @t173 @t464)) % 36.10/36.36 (define @t466 () (or @t391 @t392 @t105)) % 36.10/36.36 (define @t467 () (= @t6 (forall @t79 @t466))) % 36.10/36.36 (define @t468 () (or @t187 @t186 @t185 @t467)) % 36.10/36.36 (define @t469 () (forall @t14 @t468)) % 36.10/36.36 (define @t470 () (or @t223 @t173 @t469)) % 36.10/36.36 (define @t471 () (= @t250 @t292)) % 36.10/36.36 (define @t472 () (or @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t471)) % 36.10/36.36 (define @t473 () (not @t471)) % 36.10/36.36 (define @t474 () (not @t250)) % 36.10/36.36 (define @t475 () (not @t426)) % 36.10/36.36 (define @t476 () (not @t425)) % 36.10/36.36 (define @t477 () (@quantifiers_skolemize @t425 0)) % 36.10/36.36 (define @t478 () (tptp.k4_pre_topc @t209 @t208 @t207 @t477)) % 36.10/36.36 (define @t479 () (tptp.v3_pre_topc @t478 @t274)) % 36.10/36.36 (define @t480 () (and @t479 (tptp.m1_subset_1 @t478 @t287))) % 36.10/36.36 (define @t481 () (tptp.m1_subset_1 @t477 @t289)) % 36.10/36.36 (define @t482 () (not @t481)) % 36.10/36.36 (define @t483 () (tptp.v3_pre_topc @t477 @t209)) % 36.10/36.36 (define @t484 () (not @t483)) % 36.10/36.36 (define @t485 () (or @t484 @t482 @t480)) % 36.10/36.36 (define @t486 () (tptp.k4_pre_topc @t209 @t247 @t248 @t477)) % 36.10/36.36 (define @t487 () (tptp.v3_pre_topc @t486 @t247)) % 36.10/36.36 (define @t488 () (or @t482 @t484 @t487)) % 36.10/36.36 (define @t489 () (not @t488)) % 36.10/36.36 (define @t490 () (= @t486 (tptp.k9_relat_1 @t248 @t477))) % 36.10/36.36 (define @t491 () (not @t329)) % 36.10/36.36 (define @t492 () (or @t276 @t311 @t428 @t427 @t491 @t490)) % 36.10/36.36 (define @t493 () (tptp.k9_relat_1 @t207 @t477)) % 36.10/36.36 (define @t494 () (= @t478 @t493)) % 36.10/36.36 (define @t495 () (or @t276 @t302 @t259 @t257 @t301 @t494)) % 36.10/36.36 (define @t496 () (not @t479)) % 36.10/36.36 (define @t497 () (not @t494)) % 36.10/36.36 (define @t498 () (not @t490)) % 36.10/36.36 (define @t499 () (not @t367)) % 36.10/36.36 (define @t500 () (not @t275)) % 36.10/36.36 (define @t501 () (not @t487)) % 36.10/36.36 (define @t502 () (and @t275 @t367 @t501 @t490 @t494)) % 36.10/36.36 (define @t503 () (tptp.v3_pre_topc (tptp.k4_pre_topc @t209 @t247 @t248 @t293) @t247)) % 36.10/36.36 (define @t504 () (tptp.v3_pre_topc @t293 @t209)) % 36.10/36.36 (define @t505 () (not @t504)) % 36.10/36.36 (define @t506 () (tptp.m1_subset_1 @t293 @t289)) % 36.10/36.36 (define @t507 () (not @t506)) % 36.10/36.36 (define @t508 () (or @t507 @t505 @t503)) % 36.10/36.36 (define @t509 () (not @t292)) % 36.10/36.36 (define @t510 () (@list true false)) % 36.10/36.36 (define @t511 () (tptp.m1_subset_1 @t299 @t287)) % 36.10/36.36 (define @t512 () (tptp.v3_pre_topc @t299 @t274)) % 36.10/36.36 (define @t513 () (and @t512 @t511)) % 36.10/36.36 (define @t514 () (or @t505 @t507 @t513)) % 36.10/36.36 (define @t515 () (not @t514)) % 36.10/36.36 (define @t516 () (@list @t514)) % 36.10/36.36 (define @t517 () (tptp.k4_pre_topc @t209 @t274 @t207 @t293)) % 36.10/36.36 (define @t518 () (and @t275 @t367 @t300 @t503 @t315)) % 36.10/36.36 (define @t519 () (not @t315)) % 36.10/36.36 (define @t520 () (not @t300)) % 36.10/36.36 (define @t521 () (not @t511)) % 36.10/36.36 (define @t522 () (tptp.m1_subset_1 @t304 (tptp.k1_zfmisc_1 @t305))) % 36.10/36.36 (define @t523 () (or @t276 @t311 @t259 @t309 @t307 @t522)) % 36.10/36.36 (define @t524 () (not @t522)) % 36.10/36.36 (define @t525 () (and @t522 @t275 @t315 @t300 @t521)) % 36.10/36.36 (assume @p1 @t32) % 36.10/36.36 (assume @p2 (forall @t30 (=> @t24 (=> @t34 (= @t3 (tptp.g1_pre_topc @t9 @t33)))))) % 36.10/36.36 (assume @p3 (forall @t36 (=> @t35 (not (tptp.r2_hidden @t2 @t3))))) % 36.10/36.36 (assume @p4 (forall @t30 (=> @t39 (forall @t22 (=> @t38 @t37))))) % 36.10/36.36 (assume @p5 (forall @t30 (=> @t41 (forall @t22 (=> @t38 (and @t37 @t40)))))) % 36.10/36.36 (assume @p6 (forall @t30 (=> @t43 (forall @t22 (=> @t38 (and @t37 @t40 @t42)))))) % 36.10/36.36 (assume @p7 (forall @t30 (=> @t45 (forall @t22 (=> @t38 (and @t37 @t40 @t44 @t42)))))) % 36.10/36.36 (assume @p8 (forall @t30 (=> @t46 (forall @t22 (=> @t38 (and @t37 (tptp.v4_ordinal2 @t2) @t40 @t44 @t42)))))) % 36.10/36.36 (assume @p9 (forall @t30 (=> @t47 (and @t39 @t41 @t43 @t45 @t46)))) % 36.10/36.36 (assume @p10 (forall @t30 (=> @t39 (forall @t22 (=> @t50 @t48))))) % 36.10/36.36 (assume @p11 (forall @t30 (=> @t41 (forall @t22 (=> @t50 (and @t48 @t51)))))) % 36.10/36.36 (assume @p12 (forall @t30 (=> @t43 (forall @t22 (=> @t50 (and @t48 @t51 @t52)))))) % 36.10/36.36 (assume @p13 (forall @t30 (=> @t45 (forall @t22 (=> @t50 (and @t48 @t51 @t52 @t53)))))) % 36.10/36.36 (assume @p14 (forall @t30 (=> @t47 @t54))) % 36.10/36.36 (assume @p15 (forall @t30 (=> @t47 @t55))) % 36.10/36.36 (assume @p16 (forall @t30 (=> @t46 @t45))) % 36.10/36.36 (assume @p17 (forall @t30 (=> @t57 (forall @t22 (=> @t56 @t17))))) % 36.10/36.36 (assume @p18 (forall @t60 (=> @t59 (tptp.v1_relat_1 @t1)))) % 36.10/36.36 (assume @p19 (forall @t30 (=> @t57 (forall @t22 (=> @t65 (=> @t63 (and @t62 @t61))))))) % 36.10/36.36 (assume @p20 (forall @t30 (=> @t46 (forall @t22 (=> @t50 (and @t48 @t51 @t52 @t53 @t66)))))) % 36.10/36.36 (assume @p21 (forall @t30 (=> @t54 (forall @t22 (=> @t50 @t67))))) % 36.10/36.36 (assume @p22 (forall @t30 (=> @t70 @t69))) % 36.10/36.36 (assume @p23 (forall @t30 (=> @t45 @t43))) % 36.10/36.36 (assume @p24 (forall @t30 (=> @t24 (forall @t22 (=> @t65 (=> @t63 @t71)))))) % 36.10/36.36 (assume @p25 (forall @t30 (=> @t43 @t41))) % 36.10/36.36 (assume @p26 (forall @t30 (=> @t57 (forall @t22 (=> @t65 (=> @t63 @t72)))))) % 36.10/36.36 (assume @p27 (forall @t30 (=> @t41 @t39))) % 36.10/36.36 (assume @p28 (forall @t30 (=> @t57 (forall @t22 (=> @t65 (=> @t72 @t71)))))) % 36.10/36.36 (assume @p29 (forall @t30 (=> @t57 (forall @t22 (=> @t65 (=> (and @t61 @t71) (and @t71 @t72))))))) % 36.10/36.36 (assume @p30 (forall @t30 (=> @t57 (forall @t22 (=> @t65 (=> (and @t62 @t72) (and @t63 @t62 @t61 @t48 @t51 @t52 @t53 @t66 @t71 @t72))))))) % 36.10/36.36 (assume @p31 @t88) % 36.10/36.36 (assume @p32 @t97) % 36.10/36.36 (assume @p33 @t104) % 36.10/36.36 (assume @p34 @t115) % 36.10/36.36 (assume @p35 (forall @t36 (=> @t117 (and (tptp.v1_pre_topc @t116) (tptp.l1_pre_topc @t116))))) % 36.10/36.36 (assume @p36 true) % 36.10/36.36 (assume @p37 (forall @t60 (=> @t121 (tptp.m1_subset_1 @t89 @t118)))) % 36.10/36.36 (assume @p38 (forall @t36 (=> (and @t24 @t65) (and @t123 (tptp.m1_pre_topc @t122 @t3))))) % 36.10/36.36 (assume @p39 @t126) % 36.10/36.36 (assume @p40 @t129) % 36.10/36.36 (assume @p41 @t133) % 36.10/36.36 (assume @p42 (forall @t60 (=> @t135 (tptp.m1_subset_1 @t134 @t118)))) % 36.10/36.36 (assume @p43 @t136) % 36.10/36.36 (assume @p44 @t139) % 36.10/36.36 (assume @p45 (forall @t60 (=> @t140 @t59))) % 36.10/36.36 (assume @p46 (forall @t30 (=> @t24 (tptp.m1_subset_1 @t33 (tptp.k1_zfmisc_1 @t64))))) % 36.10/36.36 (assume @p47 (exists @t30 @t24)) % 36.10/36.36 (assume @p48 (exists @t30 @t95)) % 36.10/36.36 (assume @p49 (forall @t30 (=> @t24 (exists @t22 @t56)))) % 36.10/36.36 (assume @p50 (forall @t36 (exists @t14 @t141))) % 36.10/36.36 (assume @p51 (forall @t30 (exists @t22 @t38))) % 36.10/36.36 (assume @p52 (forall @t36 (exists @t14 @t140))) % 36.10/36.36 (assume @p53 (forall @t36 (=> (and @t68 @t55 @t67) (tptp.v1_finset_1 (tptp.k9_relat_1 @t3 @t2))))) % 36.10/36.36 (assume @p54 (forall @t36 (=> (and @t54 @t67) (tptp.v1_finset_1 @t58)))) % 36.10/36.36 (assume @p55 (forall @t30 (=> @t142 (not (tptp.v1_xboole_0 @t9))))) % 36.10/36.36 (assume @p56 (forall @t125 (=> (and @t145 @t144 @t12 (tptp.v1_funct_2 @t1 @t3 @t2) @t141 (not (tptp.v1_xboole_0 @t73)) (tptp.m1_subset_1 @t73 @t49)) (not (tptp.v1_xboole_0 @t143))))) % 36.10/36.36 (assume @p57 (forall @t36 (=> (and @t27 @t24 @t144 @t65) (and (not (tptp.v3_struct_0 @t122)) @t123)))) % 36.10/36.36 (assume @p58 (forall @t36 (=> (and @t25 @t24 @t65) (and @t123 (tptp.v2_pre_topc @t122))))) % 36.10/36.36 (assume @p59 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 36.10/36.36 (assume @p60 (forall @t36 (=> @t117 (forall (@list @t1 @t73) (=> (= @t116 (tptp.g1_pre_topc @t1 @t73)) (and (= @t3 @t1) (= @t2 @t73))))))) % 36.10/36.36 (assume @p61 (exists @t30 (and @t145 @t54))) % 36.10/36.36 (assume @p62 (exists @t30 (and @t68 @t55))) % 36.10/36.36 (assume @p63 (exists @t30 (and @t145 @t39 @t41 @t43 @t45 @t46))) % 36.10/36.36 (assume @p64 (exists @t30 (and @t24 @t34))) % 36.10/36.36 (assume @p65 (forall @t30 (=> @t57 (exists @t22 (and @t65 @t62))))) % 36.10/36.36 (assume @p66 (exists @t30 @t70)) % 36.10/36.36 (assume @p67 (exists @t30 (and @t24 @t27 @t34 @t25))) % 36.10/36.36 (assume @p68 (forall @t30 (=> @t57 (exists @t22 (and @t65 @t62 @t61))))) % 36.10/36.36 (assume @p69 (forall @t30 (=> @t145 (exists @t22 (and @t50 @t144 @t67))))) % 36.10/36.36 (assume @p70 (exists @t30 @t69)) % 36.10/36.36 (assume @p71 (forall @t30 (=> @t24 (exists @t22 (and @t56 @t146))))) % 36.10/36.36 (assume @p72 (exists @t30 (and @t95 @t27))) % 36.10/36.36 (assume @p73 (forall @t30 (=> @t28 (exists @t22 (and @t65 @t144 @t62 @t61))))) % 36.10/36.36 (assume @p74 (forall @t30 (=> (and @t27 @t24) (exists @t22 (and @t56 @t19 @t146))))) % 36.10/36.36 (assume @p75 (forall @t30 (=> @t24 (exists @t22 (and @t65 @t63 @t48 @t51 @t52 @t53 @t66 @t71))))) % 36.10/36.36 (assume @p76 (forall @t30 (=> @t57 (exists @t22 (and @t56 @t146 @t17))))) % 36.10/36.36 (assume @p77 (forall @t30 (=> @t142 (exists @t22 (and @t65 @t144))))) % 36.10/36.36 (assume @p78 (forall @t30 (=> @t57 (exists @t22 (and @t65 @t63 @t62 @t61 @t48 @t51 @t52 @t53 @t66 @t71 @t72))))) % 36.10/36.36 (assume @p79 (forall @t30 (=> @t57 (exists @t22 (and @t65 @t61))))) % 36.10/36.36 (assume @p80 (forall @t30 (=> @t28 (exists @t22 (and @t65 @t144 @t61))))) % 36.10/36.36 (assume @p81 (forall @t60 (=> @t121 (= @t89 @t147)))) % 36.10/36.36 (assume @p82 @t149) % 36.10/36.36 (assume @p83 (forall @t60 (=> @t135 (= @t134 @t147)))) % 36.10/36.36 (assume @p84 (forall @t60 (= @t140 @t141))) % 36.10/36.36 (assume @p85 (forall @t36 (tptp.r1_tarski @t3 @t3))) % 36.10/36.36 (assume @p86 (forall @t36 (=> @t35 @t150))) % 36.10/36.36 (assume @p87 (forall @t36 (=> @t150 (or @t63 @t35)))) % 36.10/36.36 (assume @p88 (forall @t36 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 36.10/36.36 (assume @p89 (forall @t60 (=> (and @t35 @t151) (tptp.m1_subset_1 @t3 @t1)))) % 36.10/36.36 (assume @p90 (forall @t60 (not (and @t35 @t151 (tptp.v1_xboole_0 @t1))))) % 36.10/36.36 (assume @p91 (forall @t30 (=> @t47 (= @t3 tptp.k1_xboole_0)))) % 36.10/36.36 (assume @p92 (forall @t36 (not (and @t35 @t63)))) % 36.10/36.36 (assume @p93 (forall @t36 (not (and @t47 (not (= @t3 @t2)) @t63)))) % 36.10/36.36 (step @p94 :rule aci_norm :args ((= @t162 (or @t160 @t159 @t158 @t157 @t156 @t154)))) % 36.10/36.36 (step @p95 :rule cong :premises (@p94) :args (@t163)) % 36.10/36.36 (step @p96 :rule quant-merge-prenex :args ((= (forall @t30 @t165) @t163))) % 36.10/36.36 (step @p97 :rule alpha_equiv :args (@t166 (@list @t153 @t152) (@list @t2 @t167))) % 36.10/36.36 (step @p98 :rule refl :args (@t160)) % 36.10/36.36 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t168)) % 36.10/36.36 (step @p100 :rule quant-miniscope-or :args ((= @t165 @t168))) % 36.10/36.36 (step @p101 :rule trans :premises (@p100 @p99)) % 36.10/36.36 (step @p102 :rule symm :premises (@p101)) % 36.10/36.36 (step @p103 :rule cong :premises (@p102) :args ((forall @t30 (or @t160 @t176)))) % 36.10/36.36 (step @p104 :rule trans :premises (@p103 @p96)) % 36.10/36.36 (step @p105 :rule trans :premises (@p104 @p95)) % 36.10/36.36 (step @p106 :rule bool-impl-elim :args (@t95 @t176)) % 36.10/36.36 (step @p107 :rule cong :premises (@p106) :args ((forall @t30 (=> @t95 @t176)))) % 36.10/36.36 (step @p108 :rule trans :premises (@p107 @p105)) % 36.10/36.36 (step @p109 :rule aci_norm :args ((= @t178 @t174))) % 36.10/36.36 (step @p110 :rule cong :premises (@p109) :args (@t179)) % 36.10/36.36 (step @p111 :rule quant-merge-prenex :args ((= (forall @t22 @t181) @t179))) % 36.10/36.36 (step @p112 :rule alpha_equiv :args (@t182 (@list @t167) @t183)) % 36.10/36.36 (step @p113 :rule refl :args (@t173)) % 36.10/36.36 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t184)) % 36.10/36.36 (step @p115 :rule quant-miniscope-or :args ((= @t181 @t184))) % 36.10/36.36 (step @p116 :rule trans :premises (@p115 @p114)) % 36.10/36.36 (step @p117 :rule symm :premises (@p116)) % 36.10/36.36 (step @p118 :rule cong :premises (@p117) :args ((forall @t22 (or @t173 @t189)))) % 36.10/36.36 (step @p119 :rule trans :premises (@p118 @p111)) % 36.10/36.36 (step @p120 :rule trans :premises (@p119 @p110)) % 36.10/36.36 (step @p121 :rule bool-impl-elim :args (@t16 @t189)) % 36.10/36.36 (step @p122 :rule cong :premises (@p121) :args ((forall @t22 (=> @t16 @t189)))) % 36.10/36.36 (step @p123 :rule trans :premises (@p122 @p120)) % 36.10/36.36 (step @p124 :rule aci_norm :args ((= (or @t190 @t91) @t188))) % 36.10/36.36 (step @p125 :rule refl :args (@t91)) % 36.10/36.36 (step @p126 :rule aci_norm :args ((= (or @t187 (or @t186 @t185)) @t190))) % 36.10/36.36 (step @p127 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 36.10/36.36 (step @p128 :rule refl :args (@t187)) % 36.10/36.36 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t187 (not (and @t11 @t10))))) % 36.10/36.36 (step @p130 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10))) % 36.10/36.36 (step @p131 :rule trans :premises (@p130 @p129)) % 36.10/36.36 (step @p132 :rule trans :premises (@p131 @p126)) % 36.10/36.36 (step @p133 :rule nary_cong :premises (@p132 @p125) :args ((or @t191 @t91))) % 36.10/36.36 (step @p134 :rule trans :premises (@p133 @p124)) % 36.10/36.36 (step @p135 :rule bool-impl-elim :args (@t13 @t91)) % 36.10/36.36 (step @p136 :rule trans :premises (@p135 @p134)) % 36.10/36.36 (step @p137 :rule cong :premises (@p136) :args (@t92)) % 36.10/36.36 (step @p138 :rule refl :args (@t16)) % 36.10/36.36 (step @p139 :rule cong :premises (@p138 @p137) :args (@t93)) % 36.10/36.36 (step @p140 :rule cong :premises (@p139) :args (@t94)) % 36.10/36.36 (step @p141 :rule trans 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(@list @t193 @t192) (@list @t2 @t217))) % 36.10/36.36 (step @p156 :rule refl :args (@t202)) % 36.10/36.36 (step @p157 :rule refl :args (@t203)) % 36.10/36.36 (step @p158 :rule refl :args (@t26)) % 36.10/36.36 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155) :args (@t218)) % 36.10/36.36 (step @p160 :rule quant-miniscope-or :args ((= @t215 @t218))) % 36.10/36.36 (step @p161 :rule trans :premises (@p160 @p159)) % 36.10/36.36 (step @p162 :rule symm :premises (@p161)) % 36.10/36.36 (step @p163 :rule cong :premises (@p162) :args ((forall @t30 @t227))) % 36.10/36.36 (step @p164 :rule trans :premises (@p163 @p154)) % 36.10/36.36 (step @p165 :rule trans :premises (@p164 @p153)) % 36.10/36.36 (step @p166 :rule aci_norm :args ((= (or (or @t26 @t203 @t202) @t226) @t227))) % 36.10/36.36 (step @p167 :rule refl :args (@t226)) % 36.10/36.36 (step @p168 :rule bool-double-not-elim :args (@t26)) % 36.10/36.36 (step @p169 :rule nary_cong :premises (@p168 @p157 @p156) :args (@t229)) % 36.10/36.36 (step @p170 :rule aci_norm :args ((= (or @t228 @t230) @t229))) % 36.10/36.36 (step @p171 :rule trans :premises (@p170 @p169)) % 36.10/36.36 (step @p172 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 36.10/36.36 (step @p173 :rule refl :args (@t228)) % 36.10/36.36 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t228 @t231))) % 36.10/36.36 (step @p175 :rule bool-and-de-morgan :args (@t27 @t25 (and @t24))) % 36.10/36.36 (step @p176 :rule trans :premises (@p175 @p174)) % 36.10/36.36 (step @p177 :rule trans :premises (@p176 @p171)) % 36.10/36.36 (step @p178 :rule nary_cong :premises (@p177 @p167) :args ((or (not @t28) @t226))) % 36.10/36.36 (step @p179 :rule trans :premises (@p178 @p166)) % 36.10/36.36 (step @p180 :rule bool-impl-elim :args (@t28 @t226)) % 36.10/36.36 (step @p181 :rule trans :premises (@p180 @p179)) % 36.10/36.36 (step @p182 :rule cong :premises (@p181) :args ((forall @t30 (=> @t28 @t226)))) % 36.10/36.36 (step @p183 :rule trans :premises (@p182 @p165)) % 36.10/36.36 (step @p184 :rule aci_norm :args ((= @t233 @t224))) % 36.10/36.36 (step @p185 :rule cong :premises (@p184) :args (@t234)) % 36.10/36.36 (step @p186 :rule quant-merge-prenex :args ((= (forall @t22 @t236) @t234))) % 36.10/36.36 (step @p187 :rule alpha_equiv :args (@t237 (@list @t217) @t183)) % 36.10/36.36 (step @p188 :rule refl :args (@t223)) % 36.10/36.36 (step @p189 :rule refl :args (@t18)) % 36.10/36.36 (step @p190 :rule nary_cong :premises (@p189 @p188 @p113 @p187) :args (@t238)) % 36.10/36.36 (step @p191 :rule quant-miniscope-or :args ((= @t236 @t238))) % 36.10/36.36 (step @p192 :rule trans :premises (@p191 @p190)) % 36.10/36.36 (step @p193 :rule symm :premises (@p192)) % 36.10/36.36 (step @p194 :rule cong :premises (@p193) :args ((forall @t22 @t241))) % 36.10/36.36 (step @p195 :rule trans :premises (@p194 @p186)) % 36.10/36.36 (step @p196 :rule trans :premises (@p195 @p185)) % 36.10/36.36 (step @p197 :rule aci_norm :args ((= (or (or @t18 @t223 @t173) @t240) @t241))) % 36.10/36.36 (step @p198 :rule refl :args (@t240)) % 36.10/36.36 (step @p199 :rule bool-double-not-elim :args (@t18)) % 36.10/36.36 (step @p200 :rule nary_cong :premises (@p199 @p188 @p113) :args (@t243)) % 36.10/36.36 (step @p201 :rule aci_norm :args ((= (or @t242 @t244) @t243))) % 36.10/36.36 (step @p202 :rule trans :premises (@p201 @p200)) % 36.10/36.36 (step @p203 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 36.10/36.36 (step @p204 :rule refl :args (@t242)) % 36.10/36.36 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t242 @t245))) % 36.10/36.36 (step @p206 :rule bool-and-de-morgan :args (@t19 @t17 (and @t16))) % 36.10/36.36 (step @p207 :rule trans :premises (@p206 @p205)) % 36.10/36.36 (step @p208 :rule trans :premises (@p207 @p202)) % 36.10/36.36 (step @p209 :rule nary_cong :premises (@p208 @p198) :args ((or (not @t20) @t240))) % 36.10/36.36 (step @p210 :rule trans :premises (@p209 @p197)) % 36.10/36.36 (step @p211 :rule bool-impl-elim :args (@t20 @t240)) % 36.10/36.36 (step @p212 :rule trans :premises (@p211 @p210)) % 36.10/36.36 (step @p213 :rule cong :premises (@p212) :args ((forall @t22 (=> @t20 @t240)))) % 36.10/36.36 (step @p214 :rule trans :premises (@p213 @p196)) % 36.10/36.36 (step @p215 :rule aci_norm :args ((= (or @t190 @t7) @t239))) % 36.10/36.36 (step @p216 :rule refl :args (@t7)) % 36.10/36.36 (step @p217 :rule nary_cong :premises (@p132 @p216) :args ((or @t191 @t7))) % 36.10/36.36 (step @p218 :rule trans :premises (@p217 @p215)) % 36.10/36.36 (step @p219 :rule bool-impl-elim :args (@t13 @t7)) % 36.10/36.36 (step @p220 :rule trans :premises (@p219 @p218)) % 36.10/36.36 (step @p221 :rule cong :premises (@p220) :args (@t15)) % 36.10/36.36 (step @p222 :rule refl :args (@t20)) % 36.10/36.36 (step @p223 :rule cong :premises (@p222 @p221) :args (@t21)) % 36.10/36.36 (step @p224 :rule cong :premises (@p223) :args (@t23)) % 36.10/36.36 (step @p225 :rule trans :premises (@p224 @p214)) % 36.10/36.36 (step @p226 :rule refl :args (@t28)) % 36.10/36.36 (step @p227 :rule cong :premises (@p226 @p225) :args (@t29)) % 36.10/36.36 (step @p228 :rule cong :premises (@p227) :args (@t31)) % 36.10/36.36 (step @p229 :rule trans :premises (@p228 @p183)) % 36.10/36.36 (step @p230 :rule cong :premises (@p229) :args (@t32)) % 36.10/36.36 (step @p231 :rule eq_resolve :premises (@p1 @p230)) % 36.10/36.36 (step @p232 :rule skolemize :premises (@p231)) % 36.10/36.36 (step @p233 :rule bool-double-not-elim :args (@t246)) % 36.10/36.36 (step @p234 :rule refl :args (@t268)) % 36.10/36.36 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t268 (not @t265)))) % 36.10/36.36 (step @p236 :rule cnf_or_neg :args (@t268 2)) % 36.10/36.36 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 36.10/36.36 (step @p238 :rule reordering :premises (@p237) :args ((or @t246 @t268))) % 36.10/36.36 (step @p239 :rule chain_m_resolution :premises (@p238 @p232) :args (@t246 @t269 @t270)) % 36.10/36.36 (step @p240 :rule cnf_or_pos :args (@t272)) % 36.10/36.36 (step @p241 :rule reordering :premises (@p240) :args ((or @t265 @t271 (not @t272)))) % 36.10/36.36 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p151) :args (@t271 @t273 (@list @t246 @t272))) % 36.10/36.36 (step @p243 :rule bool-double-not-elim :args (@t254)) % 36.10/36.36 (step @p244 :rule nary_cong :premises (@p234 @p243) :args ((or @t268 (not @t255)))) % 36.10/36.36 (step @p245 :rule cnf_or_neg :args (@t268 8)) % 36.10/36.36 (step @p246 :rule eq_resolve :premises (@p245 @p244)) % 36.10/36.36 (step @p247 :rule reordering :premises (@p246) :args ((or @t254 @t268))) % 36.10/36.36 (step @p248 :rule chain_m_resolution :premises (@p247 @p232) :args (@t254 @t269 @t270)) % 36.10/36.36 (step @p249 :rule bool-double-not-elim :args (@t256)) % 36.10/36.36 (step @p250 :rule nary_cong :premises (@p234 @p249) :args ((or @t268 (not @t257)))) % 36.10/36.36 (step @p251 :rule cnf_or_neg :args (@t268 7)) % 36.10/36.36 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 36.10/36.36 (step @p253 :rule reordering :premises (@p252) :args ((or @t256 @t268))) % 36.10/36.36 (step @p254 :rule chain_m_resolution :premises (@p253 @p232) :args (@t256 @t269 @t270)) % 36.10/36.36 (step @p255 :rule bool-double-not-elim :args (@t258)) % 36.10/36.36 (step @p256 :rule nary_cong :premises (@p234 @p255) :args ((or @t268 (not @t259)))) % 36.10/36.36 (step @p257 :rule cnf_or_neg :args (@t268 6)) % 36.10/36.36 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 36.10/36.36 (step @p259 :rule reordering :premises (@p258) :args ((or @t258 @t268))) % 36.10/36.36 (step @p260 :rule chain_m_resolution :premises (@p259 @p232) :args (@t258 @t269 @t270)) % 36.10/36.36 (step @p261 :rule bool-double-not-elim :args (@t260)) % 36.10/36.36 (step @p262 :rule nary_cong :premises (@p234 @p261) :args ((or @t268 (not @t261)))) % 36.10/36.36 (step @p263 :rule cnf_or_neg :args (@t268 5)) % 36.10/36.36 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 36.10/36.36 (step @p265 :rule reordering :premises (@p264) :args ((or @t260 @t268))) % 36.10/36.36 (step @p266 :rule chain_m_resolution :premises (@p265 @p232) :args (@t260 @t269 @t270)) % 36.10/36.36 (step @p267 :rule cnf_or_pos :args (@t277)) % 36.10/36.36 (step @p268 :rule reordering :premises (@p267) :args ((or @t261 @t259 @t257 @t255 @t276 @t275 (not @t277)))) % 36.10/36.36 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p260 @p254 @p248 @p242 @p147) :args (@t275 @t278 (@list @t260 @t258 @t256 @t254 @t271 @t277))) % 36.10/36.36 (step @p270 :rule aci_norm :args ((= (or @t282 @t148) @t281))) % 36.10/36.36 (step @p271 :rule refl :args (@t148)) % 36.10/36.36 (step @p272 :rule aci_norm :args ((= (or @t160 (or @t280 @t283)) @t282))) % 36.10/36.36 (step @p273 :rule bool-and-de-morgan :args (@t11 @t119 true)) % 36.10/36.36 (step @p274 :rule nary_cong :premises (@p128 @p273) :args ((or @t187 (not (and @t11 @t119))))) % 36.10/36.36 (step @p275 :rule bool-and-de-morgan :args (@t12 @t11 (and @t119))) % 36.10/36.36 (step @p276 :rule trans :premises (@p275 @p274)) % 36.10/36.36 (step @p277 :rule refl :args (@t280)) % 36.10/36.36 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or @t280 @t284))) % 36.10/36.36 (step @p279 :rule bool-and-de-morgan :args (@t120 @t12 (and @t11 @t119))) % 36.10/36.36 (step @p280 :rule trans :premises (@p279 @p278)) % 36.10/36.36 (step @p281 :rule nary_cong :premises (@p98 @p280) :args ((or @t160 (not (and @t120 @t12 @t11 @t119))))) % 36.10/36.36 (step @p282 :rule bool-and-de-morgan :args (@t95 @t120 (and @t12 @t11 @t119))) % 36.10/36.36 (step @p283 :rule trans :premises (@p282 @p281)) % 36.10/36.36 (step @p284 :rule trans :premises (@p283 @p272)) % 36.10/36.36 (step @p285 :rule nary_cong :premises (@p284 @p271) :args ((or @t285 @t148))) % 36.10/36.36 (step @p286 :rule trans :premises (@p285 @p270)) % 36.10/36.36 (step @p287 :rule bool-impl-elim :args (@t121 @t148)) % 36.10/36.36 (step @p288 :rule trans :premises (@p287 @p286)) % 36.10/36.36 (step @p289 :rule cong :premises (@p288) :args (@t149)) % 36.10/36.36 (step @p290 :rule eq_resolve :premises (@p82 @p289)) % 36.10/36.36 (step @p291 :rule instantiate :premises (@p290) :args ((@list @t209 @t208 @t207 @t293))) % 36.10/36.36 (step @p292 :rule instantiate :premises (@p84) :args ((@list @t253 @t252 @t207))) % 36.10/36.36 (step @p293 :rule cnf_equiv_pos1 :args (@t295)) % 36.10/36.36 (step @p294 :rule reordering :premises (@p293) :args ((or @t255 @t294 (not @t295)))) % 36.10/36.36 (step @p295 :rule chain_m_resolution :premises (@p294 @p248 @p292) :args (@t294 @t273 (@list @t254 @t295))) % 36.10/36.36 (step @p296 :rule instantiate :premises (@p150) :args ((@list @t208))) % 36.10/36.36 (step @p297 :rule cnf_or_pos :args (@t297)) % 36.10/36.36 (step @p298 :rule reordering :premises (@p297) :args ((or @t261 @t296 (not @t297)))) % 36.10/36.36 (step @p299 :rule chain_m_resolution :premises (@p298 @p266 @p296) :args (@t296 @t273 (@list @t260 @t297))) % 36.10/36.36 (step @p300 :rule cnf_or_pos :args (@t303)) % 36.10/36.36 (step @p301 :rule reordering :premises (@p300) :args ((or @t259 @t257 @t276 @t302 @t301 @t300 (not @t303)))) % 36.10/36.36 (step @p302 :rule chain_m_resolution :premises (@p301 @p260 @p254 @p242 @p299 @p295 @p291) :args (@t300 @t278 (@list @t258 @t256 @t271 @t296 @t294 @t303))) % 36.10/36.36 (step @p303 :rule eq-symm :args (@t304 @t298)) % 36.10/36.36 (step @p304 :rule refl :args (@t307)) % 36.10/36.36 (step @p305 :rule refl :args (@t309)) % 36.10/36.36 (step @p306 :rule refl :args (@t259)) % 36.10/36.36 (step @p307 :rule refl :args (@t311)) % 36.10/36.36 (step @p308 :rule refl :args (@t276)) % 36.10/36.36 (step @p309 :rule nary_cong :premises (@p308 @p307 @p306 @p305 @p304 @p303) :args (@t312)) % 36.10/36.36 (step @p310 :rule refl :args (@t313)) % 36.10/36.36 (step @p311 :rule cong :premises (@p310 @p309) :args ((=> @t313 @t312))) % 36.10/36.36 (assume-push @p854 @t313) % 36.10/36.36 (step @p313 :rule instantiate :premises (@p290) :args (@t314)) % 36.10/36.36 (step-pop @p855 :rule scope :premises (@p313)) % 36.10/36.36 (step @p314 :rule process_scope :premises (@p855) :args (@t312)) % 36.10/36.36 (step @p316 :rule eq_resolve :premises (@p314 @p311)) % 36.10/36.36 (step @p317 :rule implies_elim :premises (@p316)) % 36.10/36.36 (step @p318 :rule chain_m_resolution :premises (@p317 @p290) :args (@t316 @t317 (@list @t313))) % 36.10/36.36 (step @p319 :rule instantiate :premises (@p84) :args ((@list @t253 @t305 @t248))) % 36.10/36.36 (step @p320 :rule aci_norm :args ((= (or (or @t160 @t18 @t173 @t187 @t186 @t279) @t131) (or @t160 @t18 @t173 @t187 @t186 @t279 @t131)))) % 36.10/36.36 (step @p321 :rule refl :args (@t131)) % 36.10/36.36 (step @p322 :rule refl :args (@t279)) % 36.10/36.36 (step @p323 :rule refl :args (@t186)) % 36.10/36.36 (step @p324 :rule nary_cong :premises (@p98 @p199 @p113 @p128 @p323 @p322) :args (@t318)) % 36.10/36.36 (step @p325 :rule aci_norm :args ((= (or @t160 (or @t242 @t319)) @t318))) % 36.10/36.36 (step @p326 :rule trans :premises (@p325 @p324)) % 36.10/36.36 (step @p327 :rule nary_cong :premises (@p113 @p276) :args ((or @t173 @t284))) % 36.10/36.36 (step @p328 :rule bool-and-de-morgan :args (@t16 @t12 (and @t11 @t119))) % 36.10/36.36 (step @p329 :rule trans :premises (@p328 @p327)) % 36.10/36.36 (step @p330 :rule nary_cong :premises (@p204 @p329) :args ((or @t242 @t320))) % 36.10/36.36 (step @p331 :rule bool-and-de-morgan :args (@t19 @t16 (and @t12 @t11 @t119))) % 36.10/36.36 (step @p332 :rule trans :premises (@p331 @p330)) % 36.10/36.36 (step @p333 :rule nary_cong :premises (@p98 @p332) :args ((or @t160 (not (and @t19 @t16 @t12 @t11 @t119))))) % 36.10/36.36 (step @p334 :rule bool-and-de-morgan :args (@t95 @t19 (and @t16 @t12 @t11 @t119))) % 36.10/36.36 (step @p335 :rule trans :premises (@p334 @p333)) % 36.10/36.36 (step @p336 :rule trans :premises (@p335 @p326)) % 36.10/36.36 (step @p337 :rule nary_cong :premises (@p336 @p321) :args ((or (not @t132) @t131))) % 36.10/36.36 (step @p338 :rule trans :premises (@p337 @p320)) % 36.10/36.36 (step @p339 :rule bool-impl-elim :args (@t132 @t131)) % 36.10/36.36 (step @p340 :rule trans :premises (@p339 @p338)) % 36.10/36.36 (step @p341 :rule cong :premises (@p340) :args (@t133)) % 36.10/36.36 (step @p342 :rule eq_resolve :premises (@p41 @p341)) % 36.10/36.36 (step @p343 :rule instantiate :premises (@p342) :args (@t210)) % 36.10/36.36 (step @p344 :rule cnf_or_neg :args (@t268 3)) % 36.10/36.36 (step @p345 :rule chain_m_resolution :premises (@p344 @p232) :args ((not @t264) @t269 @t270)) % 36.10/36.36 (step @p346 :rule cnf_or_pos :args (@t325)) % 36.10/36.36 (step @p347 :rule reordering :premises (@p346) :args ((or @t264 @t261 @t259 @t257 @t276 @t301 @t324 (not @t325)))) % 36.10/36.36 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p266 @p260 @p254 @p242 @p295 @p343) :args (@t324 @t326 (@list @t264 @t260 @t258 @t256 @t271 @t294 @t325))) % 36.10/36.36 (step @p349 :rule cnf_and_pos :args (@t324 2)) % 36.10/36.36 (step @p350 :rule reordering :premises (@p349) :args ((or @t321 @t327))) % 36.10/36.36 (step @p351 :rule chain_m_resolution :premises (@p350 @p348) :args (@t321 @t317 @t328)) % 36.10/36.36 (step @p352 :rule cnf_equiv_pos1 :args (@t330)) % 36.10/36.36 (step @p353 :rule reordering :premises (@p352) :args ((or @t331 @t329 (not @t330)))) % 36.10/36.36 (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p319) :args (@t329 @t273 (@list @t321 @t330))) % 36.10/36.36 (step @p355 :rule true_intro :premises (@p354)) % 36.10/36.36 (step @p356 :rule refl :args (@t305)) % 36.10/36.36 (step @p357 :rule refl :args (@t253)) % 36.10/36.36 (step @p358 :rule aci_norm :args ((= @t342 (or @t160 @t340 @t339 @t338 @t337 @t336 @t334)))) % 36.10/36.36 (step @p359 :rule cong :premises (@p358) :args (@t343)) % 36.10/36.36 (step @p360 :rule quant-merge-prenex :args ((= (forall @t30 @t345) @t343))) % 36.10/36.36 (step @p361 :rule alpha_equiv :args (@t346 (@list @t333 @t332) (@list @t2 @t347))) % 36.10/36.36 (step @p362 :rule nary_cong :premises (@p98 @p361) :args (@t348)) % 36.10/36.36 (step @p363 :rule quant-miniscope-or :args ((= @t345 @t348))) % 36.10/36.36 (step @p364 :rule trans :premises (@p363 @p362)) % 36.10/36.36 (step @p365 :rule symm :premises (@p364)) % 36.10/36.36 (step @p366 :rule cong :premises (@p365) :args ((forall @t30 (or @t160 @t355)))) % 36.10/36.36 (step @p367 :rule trans :premises (@p366 @p360)) % 36.10/36.36 (step @p368 :rule trans :premises (@p367 @p359)) % 36.10/36.36 (step @p369 :rule bool-impl-elim :args (@t95 @t355)) % 36.10/36.36 (step @p370 :rule cong :premises (@p369) :args ((forall @t30 (=> @t95 @t355)))) % 36.10/36.36 (step @p371 :rule trans :premises (@p370 @p368)) % 36.10/36.36 (step @p372 :rule aci_norm :args ((= @t357 @t353))) % 36.10/36.36 (step @p373 :rule cong :premises (@p372) :args (@t358)) % 36.10/36.36 (step @p374 :rule quant-merge-prenex :args ((= (forall @t22 @t360) @t358))) % 36.10/36.36 (step @p375 :rule alpha_equiv :args (@t361 (@list @t347) @t183)) % 36.10/36.36 (step @p376 :rule nary_cong :premises (@p189 @p113 @p375) :args (@t362)) % 36.10/36.36 (step @p377 :rule quant-miniscope-or :args ((= @t360 @t362))) % 36.10/36.36 (step @p378 :rule trans :premises (@p377 @p376)) % 36.10/36.36 (step @p379 :rule symm :premises (@p378)) % 36.10/36.36 (step @p380 :rule cong :premises (@p379) :args ((forall @t22 @t366))) % 36.10/36.36 (step @p381 :rule trans :premises (@p380 @p374)) % 36.10/36.36 (step @p382 :rule trans :premises (@p381 @p373)) % 36.10/36.36 (step @p383 :rule aci_norm :args ((= (or (or @t18 @t173) @t365) @t366))) % 36.10/36.36 (step @p384 :rule refl :args (@t365)) % 36.10/36.36 (step @p385 :rule nary_cong :premises (@p199 @p113) :args ((or @t242 @t173))) % 36.10/36.36 (step @p386 :rule bool-and-de-morgan :args (@t19 @t16 true)) % 36.10/36.36 (step @p387 :rule trans :premises (@p386 @p385)) % 36.10/36.36 (step @p388 :rule nary_cong :premises (@p387 @p384) :args ((or (not @t100) @t365))) % 36.10/36.36 (step @p389 :rule trans :premises (@p388 @p383)) % 36.10/36.36 (step @p390 :rule bool-impl-elim :args (@t100 @t365)) % 36.10/36.36 (step @p391 :rule trans :premises (@p390 @p389)) % 36.10/36.36 (step @p392 :rule cong :premises (@p391) :args ((forall @t22 (=> @t100 @t365)))) % 36.10/36.36 (step @p393 :rule trans :premises (@p392 @p382)) % 36.10/36.36 (step @p394 :rule aci_norm :args ((= (or @t190 @t363) @t364))) % 36.10/36.36 (step @p395 :rule refl :args (@t363)) % 36.10/36.36 (step @p396 :rule nary_cong :premises (@p132 @p395) :args ((or @t191 @t363))) % 36.10/36.36 (step @p397 :rule trans :premises (@p396 @p394)) % 36.10/36.36 (step @p398 :rule bool-impl-elim :args (@t13 @t363)) % 36.10/36.36 (step @p399 :rule trans :premises (@p398 @p397)) % 36.10/36.36 (step @p400 :rule cong :premises (@p399) :args ((forall @t14 (=> @t13 @t363)))) % 36.10/36.36 (step @p401 :rule eq-symm :args (@t5 @t1)) % 36.10/36.36 (step @p402 :rule refl :args (@t13)) % 36.10/36.36 (step @p403 :rule cong :premises (@p402 @p401) :args (@t98)) % 36.10/36.36 (step @p404 :rule cong :premises (@p403) :args (@t99)) % 36.10/36.36 (step @p405 :rule trans :premises (@p404 @p400)) % 36.10/36.36 (step @p406 :rule refl :args (@t100)) % 36.10/36.36 (step @p407 :rule cong :premises (@p406 @p405) :args (@t101)) % 36.10/36.36 (step @p408 :rule cong :premises (@p407) :args (@t102)) % 36.10/36.36 (step @p409 :rule trans :premises (@p408 @p393)) % 36.10/36.36 (step @p410 :rule cong :premises (@p142 @p409) :args (@t103)) % 36.10/36.36 (step @p411 :rule cong :premises (@p410) :args (@t104)) % 36.10/36.36 (step @p412 :rule trans :premises (@p411 @p371)) % 36.10/36.36 (step @p413 :rule eq_resolve :premises (@p33 @p412)) % 36.10/36.36 (step @p414 :rule instantiate :premises (@p413) :args (@t210)) % 36.10/36.36 (step @p415 :rule cnf_or_pos :args (@t368)) % 36.10/36.36 (step @p416 :rule reordering :premises (@p415) :args ((or @t264 @t261 @t259 @t257 @t255 @t276 @t367 (not @t368)))) % 36.10/36.36 (step @p417 :rule chain_m_resolution :premises (@p416 @p345 @p266 @p260 @p254 @p248 @p242 @p414) :args (@t367 @t326 (@list @t264 @t260 @t258 @t256 @t254 @t271 @t368))) % 36.10/36.36 (step @p418 :rule cong :premises (@p417 @p357 @p356) :args (@t306)) % 36.10/36.36 (step @p419 :rule trans :premises (@p418 @p355)) % 36.10/36.36 (step @p420 :rule true_elim :premises (@p419)) % 36.10/36.36 (step @p421 :rule cnf_and_pos :args (@t324 1)) % 36.10/36.36 (step @p422 :rule reordering :premises (@p421) :args ((or @t322 @t327))) % 36.10/36.36 (step @p423 :rule chain_m_resolution :premises (@p422 @p348) :args (@t322 @t317 @t328)) % 36.10/36.36 (step @p424 :rule true_intro :premises (@p423)) % 36.10/36.36 (step @p425 :rule cong :premises (@p417 @p357 @p356) :args (@t308)) % 36.10/36.36 (step @p426 :rule trans :premises (@p425 @p424)) % 36.10/36.36 (step @p427 :rule true_elim :premises (@p426)) % 36.10/36.36 (step @p428 :rule instantiate :premises (@p150) :args ((@list @t247))) % 36.10/36.36 (step @p429 :rule aci_norm :args ((= @t373 (or @t202 @t371 @t370)))) % 36.10/36.36 (step @p430 :rule cong :premises (@p429) :args (@t374)) % 36.10/36.36 (step @p431 :rule quant-merge-prenex :args ((= (forall @t30 @t376) @t374))) % 36.10/36.36 (step @p432 :rule alpha_equiv :args (@t377 (@list @t369) (@list @t2))) % 36.10/36.36 (step @p433 :rule nary_cong :premises (@p156 @p432) :args (@t378)) % 36.10/36.36 (step @p434 :rule quant-miniscope-or :args ((= @t376 @t378))) % 36.10/36.36 (step @p435 :rule trans :premises (@p434 @p433)) % 36.10/36.36 (step @p436 :rule symm :premises (@p435)) % 36.10/36.36 (step @p437 :rule cong :premises (@p436) :args ((forall @t30 (or @t202 @t379)))) % 36.10/36.36 (step @p438 :rule trans :premises (@p437 @p431)) % 36.10/36.36 (step @p439 :rule trans :premises (@p438 @p430)) % 36.10/36.36 (step @p440 :rule bool-impl-elim :args (@t24 @t379)) % 36.10/36.36 (step @p441 :rule cong :premises (@p440) :args ((forall @t30 (=> @t24 @t379)))) % 36.10/36.36 (step @p442 :rule trans :premises (@p441 @p439)) % 36.10/36.36 (step @p443 :rule bool-impl-elim :args (@t56 @t16)) % 36.10/36.36 (step @p444 :rule cong :premises (@p443) :args (@t137)) % 36.10/36.36 (step @p445 :rule refl :args (@t24)) % 36.10/36.36 (step @p446 :rule cong :premises (@p445 @p444) :args (@t138)) % 36.10/36.36 (step @p447 :rule cong :premises (@p446) :args (@t139)) % 36.10/36.36 (step @p448 :rule trans :premises (@p447 @p442)) % 36.10/36.36 (step @p449 :rule eq_resolve :premises (@p44 @p448)) % 36.10/36.36 (step @p450 :rule instantiate :premises (@p449) :args ((@list @t208 @t247))) % 36.10/36.36 (step @p451 :rule aci_norm :args ((= (or @t380 @t127) (or @t160 @t173 @t187 @t186 @t279 @t127)))) % 36.10/36.36 (step @p452 :rule refl :args (@t127)) % 36.10/36.36 (step @p453 :rule aci_norm :args ((= (or @t160 @t319) @t380))) % 36.10/36.36 (step @p454 :rule nary_cong :premises (@p98 @p329) :args ((or @t160 @t320))) % 36.10/36.36 (step @p455 :rule bool-and-de-morgan :args (@t95 @t16 (and @t12 @t11 @t119))) % 36.10/36.36 (step @p456 :rule trans :premises (@p455 @p454)) % 36.10/36.36 (step @p457 :rule trans :premises (@p456 @p453)) % 36.10/36.36 (step @p458 :rule nary_cong :premises (@p457 @p452) :args ((or (not @t128) @t127))) % 36.10/36.36 (step @p459 :rule trans :premises (@p458 @p451)) % 36.10/36.36 (step @p460 :rule bool-impl-elim :args (@t128 @t127)) % 36.10/36.36 (step @p461 :rule trans :premises (@p460 @p459)) % 36.10/36.36 (step @p462 :rule cong :premises (@p461) :args (@t129)) % 36.10/36.36 (step @p463 :rule eq_resolve :premises (@p40 @p462)) % 36.10/36.36 (step @p464 :rule instantiate :premises (@p463) :args (@t210)) % 36.10/36.36 (step @p465 :rule cnf_or_pos :args (@t382)) % 36.10/36.36 (step @p466 :rule reordering :premises (@p465) :args ((or @t261 @t259 @t257 @t276 @t301 @t381 (not @t382)))) % 36.10/36.36 (step @p467 :rule chain_m_resolution :premises (@p466 @p266 @p260 @p254 @p242 @p295 @p464) :args (@t381 @t278 (@list @t260 @t258 @t256 @t271 @t294 @t382))) % 36.10/36.36 (step @p468 :rule cnf_or_pos :args (@t385)) % 36.10/36.36 (step @p469 :rule reordering :premises (@p468) :args ((or @t261 @t383 @t384 (not @t385)))) % 36.10/36.36 (step @p470 :rule chain_m_resolution :premises (@p469 @p266 @p467 @p450) :args (@t383 @t386 (@list @t260 @t381 @t385))) % 36.10/36.36 (step @p471 :rule cnf_or_pos :args (@t388)) % 36.10/36.36 (step @p472 :rule reordering :premises (@p471) :args ((or @t387 @t310 (not @t388)))) % 36.10/36.36 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p428) :args (@t310 @t273 (@list @t383 @t388))) % 36.10/36.36 (step @p474 :rule cnf_or_pos :args (@t316)) % 36.10/36.36 (step @p475 :rule reordering :premises (@p474) :args ((or @t259 @t276 @t311 @t309 @t307 @t315 (not @t316)))) % 36.10/36.36 (step @p476 :rule chain_m_resolution :premises (@p475 @p260 @p242 @p473 @p427 @p420 @p318) :args (@t315 @t278 (@list @t258 @t271 @t310 @t308 @t306 @t316))) % 36.10/36.36 (step @p477 :rule aci_norm :args ((= @t400 (or @t202 @t398 @t397 @t396 @t395 @t393)))) % 36.10/36.36 (step @p478 :rule cong :premises (@p477) :args (@t401)) % 36.10/36.36 (step @p479 :rule quant-merge-prenex :args ((= (forall @t30 @t403) @t401))) % 36.10/36.36 (step @p480 :rule alpha_equiv :args (@t404 (@list @t389 @t390) (@list @t2 @t405))) % 36.10/36.36 (step @p481 :rule nary_cong :premises (@p156 @p480) :args (@t406)) % 36.10/36.36 (step @p482 :rule quant-miniscope-or :args ((= @t403 @t406))) % 36.10/36.36 (step @p483 :rule trans :premises (@p482 @p481)) % 36.10/36.36 (step @p484 :rule symm :premises (@p483)) % 36.10/36.36 (step @p485 :rule cong :premises (@p484) :args ((forall @t30 (or @t202 @t413)))) % 36.10/36.36 (step @p486 :rule trans :premises (@p485 @p479)) % 36.10/36.36 (step @p487 :rule trans :premises (@p486 @p478)) % 36.10/36.36 (step @p488 :rule bool-impl-elim :args (@t24 @t413)) % 36.10/36.36 (step @p489 :rule cong :premises (@p488) :args ((forall @t30 (=> @t24 @t413)))) % 36.10/36.36 (step @p490 :rule trans :premises (@p489 @p487)) % 36.10/36.36 (step @p491 :rule aci_norm :args ((= @t415 @t411))) % 36.10/36.36 (step @p492 :rule cong :premises (@p491) :args (@t416)) % 36.10/36.36 (step @p493 :rule quant-merge-prenex :args ((= (forall @t22 @t418) @t416))) % 36.10/36.36 (step @p494 :rule alpha_equiv :args (@t419 (@list @t405) @t183)) % 36.10/36.36 (step @p495 :rule nary_cong :premises (@p113 @p494) :args (@t420)) % 36.10/36.36 (step @p496 :rule quant-miniscope-or :args ((= @t418 @t420))) % 36.10/36.36 (step @p497 :rule trans :premises (@p496 @p495)) % 36.10/36.36 (step @p498 :rule symm :premises (@p497)) % 36.10/36.36 (step @p499 :rule cong :premises (@p498) :args ((forall @t22 (or @t173 @t424)))) % 36.10/36.36 (step @p500 :rule trans :premises (@p499 @p493)) % 36.10/36.36 (step @p501 :rule trans :premises (@p500 @p492)) % 36.10/36.36 (step @p502 :rule bool-impl-elim :args (@t16 @t424)) % 36.10/36.36 (step @p503 :rule cong :premises (@p502) :args ((forall @t22 (=> @t16 @t424)))) % 36.10/36.36 (step @p504 :rule trans :premises (@p503 @p501)) % 36.10/36.36 (step @p505 :rule aci_norm :args ((= (or @t190 @t422) @t423))) % 36.10/36.36 (step @p506 :rule refl :args (@t422)) % 36.10/36.36 (step @p507 :rule nary_cong :premises (@p132 @p506) :args ((or @t191 @t422))) % 36.10/36.36 (step @p508 :rule trans :premises (@p507 @p505)) % 36.10/36.36 (step @p509 :rule bool-impl-elim :args (@t13 @t422)) % 36.10/36.36 (step @p510 :rule trans :premises (@p509 @p508)) % 36.10/36.36 (step @p511 :rule cong :premises (@p510) :args ((forall @t14 (=> @t13 @t422)))) % 36.10/36.36 (step @p512 :rule aci_norm :args ((= (or @t392 (or @t391 @t75)) @t421))) % 36.10/36.36 (step @p513 :rule bool-impl-elim :args (@t76 @t75)) % 36.10/36.36 (step @p514 :rule refl :args (@t392)) % 36.10/36.36 (step @p515 :rule nary_cong :premises (@p514 @p513) :args ((or @t392 @t77))) % 36.10/36.36 (step @p516 :rule trans :premises (@p515 @p512)) % 36.10/36.36 (step @p517 :rule bool-impl-elim :args (@t78 @t77)) % 36.10/36.36 (step @p518 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% 36.10/36.36 (step @p557 :rule bool-impl-elim :args (@t57 @t457)) % 36.10/36.36 (step @p558 :rule trans :premises (@p557 @p556)) % 36.10/36.36 (step @p559 :rule cong :premises (@p558) :args ((forall @t30 (=> @t57 @t457)))) % 36.10/36.36 (step @p560 :rule trans :premises (@p559 @p552)) % 36.10/36.36 (step @p561 :rule aci_norm :args ((= @t460 @t455))) % 36.10/36.36 (step @p562 :rule cong :premises (@p561) :args (@t461)) % 36.10/36.36 (step @p563 :rule quant-merge-prenex :args ((= (forall @t22 @t463) @t461))) % 36.10/36.36 (step @p564 :rule alpha_equiv :args (@t464 (@list @t447) @t183)) % 36.10/36.36 (step @p565 :rule nary_cong :premises (@p188 @p113 @p564) :args (@t465)) % 36.10/36.36 (step @p566 :rule quant-miniscope-or :args ((= @t463 @t465))) % 36.10/36.36 (step @p567 :rule trans :premises (@p566 @p565)) % 36.10/36.36 (step @p568 :rule symm :premises (@p567)) % 36.10/36.36 (step @p569 :rule cong :premises (@p568) :args ((forall @t22 @t470))) % 36.10/36.36 (step @p570 :rule trans 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@p613 :rule eq_resolve :premises (@p612 @p611)) % 36.10/36.36 (step @p614 :rule reordering :premises (@p613) :args ((or @t262 @t268))) % 36.10/36.36 (step @p615 :rule chain_m_resolution :premises (@p614 @p232) :args (@t262 @t269 @t270)) % 36.10/36.36 (step @p616 :rule bool-double-not-elim :args (@t266)) % 36.10/36.36 (step @p617 :rule nary_cong :premises (@p234 @p616) :args ((or @t268 (not @t267)))) % 36.10/36.36 (step @p618 :rule cnf_or_neg :args (@t268 1)) % 36.10/36.36 (step @p619 :rule eq_resolve :premises (@p618 @p617)) % 36.10/36.36 (step @p620 :rule reordering :premises (@p619) :args ((or @t266 @t268))) % 36.10/36.36 (step @p621 :rule chain_m_resolution :premises (@p620 @p232) :args (@t266 @t269 @t270)) % 36.10/36.36 (step @p622 :rule cnf_or_pos :args (@t472)) % 36.10/36.36 (step @p623 :rule reordering :premises (@p622) :args ((or @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t471 (not @t472)))) % 36.10/36.36 (step @p624 :rule chain_m_resolution :premises (@p623 @p621 @p239 @p615 @p266 @p260 @p254 @p248 @p609) :args (@t471 (@list false false false false false false false false) (@list @t266 @t246 @t262 @t260 @t258 @t256 @t254 @t472))) % 36.10/36.36 (step @p625 :rule cnf_equiv_pos1 :args (@t471)) % 36.10/36.36 (step @p626 :rule reordering :premises (@p625) :args ((or @t474 @t292 @t473))) % 36.10/36.36 (step @p627 :rule cnf_equiv_pos2 :args (@t426)) % 36.10/36.36 (step @p628 :rule reordering :premises (@p627) :args ((or @t249 @t476 @t475))) % 36.10/36.36 (assume-push @p856 @t292) % 36.10/36.36 (step @p630 :rule instantiate :premises (@p856) :args ((@list @t477))) % 36.10/36.36 (step-pop @p857 :rule scope :premises (@p630)) % 36.10/36.36 (step @p631 :rule process_scope :premises (@p857) :args (@t485)) % 36.10/36.36 (step @p633 :rule implies_elim :premises (@p631)) % 36.10/36.36 (step @p634 :rule refl :args (@t489)) % 36.10/36.36 (step @p635 :rule bool-double-not-elim :args (@t425)) % 36.10/36.36 (step @p636 :rule nary_cong :premises (@p635 @p634) :args ((or (not @t476) @t489))) % 36.10/36.36 (assume-push @p858 @t476) % 36.10/36.36 (step @p638 :rule skolemize :premises (@p858)) % 36.10/36.36 (step-pop @p859 :rule scope :premises (@p638)) % 36.10/36.36 (step @p639 :rule process_scope :premises (@p859) :args (@t489)) % 36.10/36.36 (step @p641 :rule implies_elim :premises (@p639)) % 36.10/36.36 (step @p642 :rule eq_resolve :premises (@p641 @p636)) % 36.10/36.36 (step @p643 :rule bool-double-not-elim :args (@t481)) % 36.10/36.36 (step @p644 :rule refl :args (@t488)) % 36.10/36.36 (step @p645 :rule nary_cong :premises (@p644 @p643) :args ((or @t488 (not @t482)))) % 36.10/36.36 (step @p646 :rule cnf_or_neg :args (@t488 0)) % 36.10/36.36 (step @p647 :rule eq_resolve :premises (@p646 @p645)) % 36.10/36.36 (step @p648 :rule reordering :premises (@p647) :args ((or @t481 @t488))) % 36.10/36.36 (step @p649 :rule bool-double-not-elim :args (@t483)) % 36.10/36.36 (step @p650 :rule nary_cong :premises (@p644 @p649) :args ((or @t488 (not @t484)))) % 36.10/36.36 (step @p651 :rule cnf_or_neg :args (@t488 1)) % 36.10/36.36 (step @p652 :rule eq_resolve :premises (@p651 @p650)) % 36.10/36.36 (step @p653 :rule reordering :premises (@p652) :args ((or @t483 @t488))) % 36.10/36.36 (step @p654 :rule cnf_or_neg :args (@t488 2)) % 36.10/36.36 (step @p655 :rule cnf_or_pos :args (@t485)) % 36.10/36.36 (step @p656 :rule reordering :premises (@p655) :args ((or @t482 @t484 @t480 (not @t485)))) % 36.10/36.36 (step @p657 :rule cnf_and_pos :args (@t480 0)) % 36.10/36.36 (step @p658 :rule reordering :premises (@p657) :args ((or @t479 (not @t480)))) % 36.10/36.36 (step @p659 :rule instantiate :premises (@p290) :args ((@list @t209 @t247 @t248 @t477))) % 36.10/36.36 (step @p660 :rule cnf_or_pos :args (@t492)) % 36.10/36.36 (step @p661 :rule reordering :premises (@p660) :args ((or @t428 @t427 @t276 @t311 @t491 @t490 (not @t492)))) % 36.10/36.36 (step @p662 :rule chain_m_resolution :premises (@p661 @p535 @p423 @p242 @p473 @p354 @p659) :args (@t490 @t278 (@list @t323 @t322 @t271 @t310 @t329 @t492))) % 36.10/36.36 (step @p663 :rule instantiate :premises (@p290) :args ((@list @t209 @t208 @t207 @t477))) % 36.10/36.36 (step @p664 :rule cnf_or_pos :args (@t495)) % 36.10/36.36 (step @p665 :rule reordering :premises (@p664) :args ((or @t259 @t257 @t276 @t302 @t301 @t494 (not @t495)))) % 36.10/36.36 (step @p666 :rule chain_m_resolution :premises (@p665 @p260 @p254 @p242 @p299 @p295 @p663) :args (@t494 @t278 (@list @t258 @t256 @t271 @t296 @t294 @t495))) % 36.10/36.36 (step @p667 :rule refl :args (@t496)) % 36.10/36.36 (step @p668 :rule refl :args (@t497)) % 36.10/36.36 (step @p669 :rule refl :args (@t498)) % 36.10/36.36 (step @p670 :rule bool-double-not-elim :args (@t487)) % 36.10/36.36 (step @p671 :rule refl :args (@t499)) % 36.10/36.36 (step @p672 :rule refl :args (@t500)) % 36.10/36.36 (step @p673 :rule nary_cong :premises (@p672 @p671 @p670 @p669 @p668 @p667) :args ((or @t500 @t499 (not @t501) @t498 @t497 @t496))) % 36.10/36.36 (assume-push @p860 @t275) % 36.10/36.36 (assume-push @p861 @t367) % 36.10/36.36 (assume-push @p862 @t501) % 36.10/36.36 (assume-push @p863 @t490) % 36.10/36.36 (assume-push @p864 @t494) % 36.10/36.36 (assume-push @p865 @t501) % 36.10/36.36 (assume-push @p866 @t490) % 36.10/36.36 (assume-push @p867 @t367) % 36.10/36.36 (assume-push @p868 @t494) % 36.10/36.36 (assume-push @p869 @t275) % 36.10/36.36 (step @p684 :rule false_intro :premises (@p862)) % 36.10/36.36 (step @p685 :rule symm :premises (@p269)) % 36.10/36.36 (step @p686 :rule symm :premises (@p662)) % 36.10/36.36 (step @p687 :rule refl :args (@t477)) % 36.10/36.36 (step @p688 :rule cong :premises (@p417 @p687) :args (@t493)) % 36.10/36.36 (step @p689 :rule trans :premises (@p666 @p688 @p686)) % 36.10/36.36 (step @p690 :rule cong :premises (@p689 @p685) :args (@t479)) % 36.10/36.36 (step @p691 :rule trans :premises (@p690 @p684)) % 36.10/36.36 (step @p692 :rule false_elim :premises (@p691)) % 36.10/36.36 (step-pop @p870 :rule scope :premises (@p692)) % 36.10/36.36 (step-pop @p871 :rule scope :premises (@p870)) % 36.10/36.36 (step-pop @p872 :rule scope :premises (@p871)) % 36.10/36.36 (step-pop @p873 :rule scope :premises (@p872)) % 36.10/36.36 (step-pop @p874 :rule scope :premises (@p873)) % 36.10/36.36 (step @p693 :rule process_scope :premises (@p874) :args (@t496)) % 36.10/36.36 (step @p699 :rule and_intro :premises (@p862 @p662 @p417 @p666 @p269)) % 36.10/36.36 (step @p700 :rule modus_ponens :premises (@p699 @p693)) % 36.10/36.36 (step-pop @p875 :rule scope :premises (@p700)) % 36.10/36.36 (step-pop @p876 :rule scope :premises (@p875)) % 36.10/36.36 (step-pop @p877 :rule scope :premises (@p876)) % 36.10/36.36 (step-pop @p878 :rule scope :premises (@p877)) % 36.10/36.36 (step-pop @p879 :rule scope :premises (@p878)) % 36.10/36.36 (step @p701 :rule process_scope :premises (@p879) :args (@t496)) % 36.10/36.36 (step @p707 :rule implies_elim :premises (@p701)) % 36.10/36.36 (step @p708 :rule cnf_and_neg :args (@t502)) % 36.10/36.36 (step @p709 :rule resolution :premises (@p708 @p707) :args (true @t502)) % 36.10/36.36 (step @p710 :rule eq_resolve :premises (@p709 @p673)) % 36.10/36.36 (step @p711 :rule reordering :premises (@p710) :args ((or @t500 @t499 @t487 @t498 @t496 @t497))) % 36.10/36.36 (step @p712 :rule chain_m_resolution :premises (@p711 @p666 @p662 @p417 @p269 @p658 @p656 @p654 @p653 @p648 @p642 @p633 @p628 @p538 @p626 @p624 @p541 @p540) :args (@t474 (@list false false false false false false true false false true false true false false false true true) (@list @t494 @t490 @t367 @t275 @t479 @t480 @t487 @t483 @t481 @t488 @t485 @t425 @t426 @t292 @t471 @t249 @t251))) % 36.10/36.36 (step @p713 :rule cnf_equiv_neg1 :args (@t251)) % 36.10/36.36 (step @p714 :rule reordering :premises (@p713) :args ((or @t250 @t249 @t251))) % 36.10/36.36 (step @p715 :rule chain_m_resolution :premises (@p714 @p712 @p540) :args (@t249 (@list true true) (@list @t250 @t251))) % 36.10/36.36 (step @p716 :rule cnf_equiv_pos1 :args (@t426)) % 36.10/36.36 (step @p717 :rule reordering :premises (@p716) :args ((or (not @t249) @t425 @t475))) % 36.10/36.36 (step @p718 :rule chain_m_resolution :premises (@p717 @p715 @p538) :args (@t425 @t273 (@list @t249 @t426))) % 36.10/36.36 (assume-push @p880 @t425) % 36.10/36.36 (step @p720 :rule instantiate :premises (@p880) :args ((@list @t293))) % 36.10/36.36 (step-pop @p881 :rule scope :premises (@p720)) % 36.10/36.36 (step @p721 :rule process_scope :premises (@p881) :args (@t508)) % 36.10/36.36 (step @p723 :rule implies_elim :premises (@p721)) % 36.10/36.36 (step @p724 :rule chain_m_resolution :premises (@p723 @p718) :args (@t508 @t317 (@list @t425))) % 36.10/36.36 (step @p725 :rule cnf_equiv_pos2 :args (@t471)) % 36.10/36.36 (step @p726 :rule reordering :premises (@p725) :args ((or @t250 @t509 @t473))) % 36.10/36.36 (step @p727 :rule chain_m_resolution :premises (@p726 @p712 @p624) :args (@t509 @t510 (@list @t250 @t471))) % 36.10/36.36 (step @p728 :rule refl :args (@t515)) % 36.10/36.36 (step @p729 :rule bool-double-not-elim :args (@t292)) % 36.10/36.36 (step @p730 :rule nary_cong :premises (@p729 @p728) :args ((or (not @t509) @t515))) % 36.10/36.36 (assume-push @p882 @t509) % 36.10/36.36 (step @p732 :rule skolemize :premises (@p882)) % 36.10/36.36 (step-pop @p883 :rule scope :premises (@p732)) % 36.10/36.36 (step @p733 :rule process_scope :premises (@p883) :args (@t515)) % 36.10/36.36 (step @p735 :rule implies_elim :premises (@p733)) % 36.10/36.36 (step @p736 :rule eq_resolve :premises (@p735 @p730)) % 36.10/36.36 (step @p737 :rule chain_m_resolution :premises (@p736 @p727) :args (@t515 @t269 (@list @t292))) % 36.10/36.36 (step @p738 :rule bool-double-not-elim :args (@t506)) % 36.10/36.36 (step @p739 :rule refl :args (@t514)) % 36.10/36.36 (step @p740 :rule nary_cong :premises (@p739 @p738) :args ((or @t514 (not @t507)))) % 36.10/36.36 (step @p741 :rule cnf_or_neg :args (@t514 1)) % 36.10/36.36 (step @p742 :rule eq_resolve :premises (@p741 @p740)) % 36.10/36.36 (step @p743 :rule reordering :premises (@p742) :args ((or @t506 @t514))) % 36.10/36.36 (step @p744 :rule chain_m_resolution :premises (@p743 @p737) :args (@t506 @t269 @t516)) % 36.10/36.36 (step @p745 :rule bool-double-not-elim :args (@t504)) % 36.10/36.36 (step @p746 :rule nary_cong :premises (@p739 @p745) :args ((or @t514 (not @t505)))) % 36.10/36.36 (step @p747 :rule cnf_or_neg :args (@t514 0)) % 36.10/36.36 (step @p748 :rule eq_resolve :premises (@p747 @p746)) % 36.10/36.36 (step @p749 :rule reordering :premises (@p748) :args ((or @t504 @t514))) % 36.10/36.36 (step @p750 :rule chain_m_resolution :premises (@p749 @p737) :args (@t504 @t269 @t516)) % 36.10/36.36 (step @p751 :rule cnf_or_pos :args (@t508)) % 36.10/36.36 (step @p752 :rule reordering :premises (@p751) :args ((or @t505 @t507 @t503 (not @t508)))) % 36.10/36.36 (step @p753 :rule chain_m_resolution :premises (@p752 @p750 @p744 @p724) :args (@t503 @t386 (@list @t504 @t506 @t508))) % 36.10/36.36 (assume-push @p884 @t275) % 36.10/36.36 (assume-push @p885 @t367) % 36.10/36.36 (assume-push @p886 @t300) % 36.10/36.36 (assume-push @p887 @t503) % 36.10/36.36 (assume-push @p888 @t315) % 36.10/36.36 (assume-push @p889 @t503) % 36.10/36.36 (assume-push @p890 @t275) % 36.10/36.36 (assume-push @p891 @t367) % 36.10/36.36 (assume-push @p892 @t315) % 36.10/36.36 (assume-push @p893 @t300) % 36.10/36.36 (step @p764 :rule true_intro :premises (@p887)) % 36.10/36.36 (step @p685 :rule symm :premises (@p269)) % 36.10/36.36 (step @p765 :rule refl :args (@t293)) % 36.10/36.36 (step @p766 :rule refl :args (@t209)) % 36.10/36.36 (step @p767 :rule cong :premises (@p766 @p685 @p417 @p765) :args (@t517)) % 36.10/36.36 (step @p768 :rule refl :args (@t207)) % 36.10/36.36 (step @p769 :rule cong :premises (@p766 @p269 @p768 @p765) :args (@t304)) % 36.10/36.36 (step @p770 :rule trans :premises (@p302 @p476 @p769)) % 36.10/36.36 (step @p771 :rule trans :premises (@p770 @p767)) % 36.10/36.36 (step @p772 :rule cong :premises (@p771 @p685) :args (@t512)) % 36.10/36.36 (step @p773 :rule trans :premises (@p772 @p764)) % 36.10/36.36 (step @p774 :rule true_elim :premises (@p773)) % 36.10/36.36 (step-pop @p894 :rule scope :premises (@p774)) % 36.10/36.36 (step-pop @p895 :rule scope :premises (@p894)) % 36.10/36.36 (step-pop @p896 :rule scope :premises (@p895)) % 36.10/36.36 (step-pop @p897 :rule scope :premises (@p896)) % 36.10/36.36 (step-pop @p898 :rule scope :premises (@p897)) % 36.10/36.36 (step @p775 :rule process_scope :premises (@p898) :args (@t512)) % 36.10/36.36 (step @p781 :rule and_intro :premises (@p887 @p269 @p417 @p476 @p302)) % 36.10/36.36 (step @p782 :rule modus_ponens :premises (@p781 @p775)) % 36.10/36.36 (step-pop @p899 :rule scope :premises (@p782)) % 36.10/36.36 (step-pop @p900 :rule scope :premises (@p899)) % 36.10/36.36 (step-pop @p901 :rule scope :premises (@p900)) % 36.10/36.36 (step-pop @p902 :rule scope :premises (@p901)) % 36.10/36.36 (step-pop @p903 :rule scope :premises (@p902)) % 36.10/36.36 (step @p783 :rule process_scope :premises (@p903) :args (@t512)) % 36.10/36.36 (step @p789 :rule implies_elim :premises (@p783)) % 36.10/36.36 (step @p790 :rule cnf_and_neg :args (@t518)) % 36.10/36.36 (step @p791 :rule resolution :premises (@p790 @p789) :args (true @t518)) % 36.10/36.36 (step @p792 :rule reordering :premises (@p791) :args ((or @t500 @t499 @t512 @t520 (not @t503) @t519))) % 36.10/36.36 (step @p793 :rule chain_m_resolution :premises (@p792 @p269 @p417 @p302 @p753 @p476) :args (@t512 (@list false false false false false) (@list @t275 @t367 @t300 @t503 @t315))) % 36.10/36.36 (step @p794 :rule cnf_or_neg :args (@t514 2)) % 36.10/36.36 (step @p795 :rule chain_m_resolution :premises (@p794 @p737) :args ((not @t513) @t269 @t516)) % 36.10/36.36 (step @p796 :rule cnf_and_neg :args (@t513)) % 36.10/36.36 (step @p797 :rule chain_m_resolution :premises (@p796 @p795 @p793) :args (@t521 @t510 (@list @t513 @t512))) % 36.10/36.36 (step @p798 :rule aci_norm :args ((= (or @t282 @t124) (or @t160 @t280 @t187 @t186 @t279 @t124)))) % 36.10/36.36 (step @p799 :rule refl :args (@t124)) % 36.10/36.36 (step @p800 :rule nary_cong :premises (@p284 @p799) :args ((or @t285 @t124))) % 36.10/36.36 (step @p801 :rule trans :premises (@p800 @p798)) % 36.10/36.36 (step @p802 :rule bool-impl-elim :args (@t121 @t124)) % 36.10/36.36 (step @p803 :rule trans :premises (@p802 @p801)) % 36.10/36.36 (step @p804 :rule cong :premises (@p803) :args (@t126)) % 36.10/36.36 (step @p805 :rule eq_resolve :premises (@p39 @p804)) % 36.10/36.36 (step @p806 :rule instantiate :premises (@p805) :args (@t314)) % 36.10/36.36 (step @p807 :rule cnf_or_pos :args (@t523)) % 36.10/36.36 (step @p808 :rule reordering :premises (@p807) :args ((or @t259 @t276 @t311 @t309 @t307 @t522 (not @t523)))) % 36.10/36.36 (step @p809 :rule chain_m_resolution :premises (@p808 @p260 @p242 @p473 @p427 @p420 @p806) :args (@t522 @t278 (@list @t258 @t271 @t310 @t308 @t306 @t523))) % 36.10/36.36 (step @p810 :rule refl :args (@t524)) % 36.10/36.36 (step @p811 :rule refl :args (@t519)) % 36.10/36.36 (step @p812 :rule refl :args (@t520)) % 36.10/36.36 (step @p813 :rule bool-double-not-elim :args (@t511)) % 36.10/36.37 (step @p814 :rule nary_cong :premises (@p672 @p813 @p812 @p811 @p810) :args ((or @t500 (not @t521) @t520 @t519 @t524))) % 36.10/36.37 (assume-push @p904 @t522) % 36.10/36.37 (assume-push @p905 @t275) % 36.10/36.37 (assume-push @p906 @t315) % 36.10/36.37 (assume-push @p907 @t300) % 36.10/36.37 (assume-push @p908 @t521) % 36.10/36.37 (step @p820 :rule evaluate :args ((= false true))) % 36.10/36.37 (step @p821 :rule true_intro :premises (@p809)) % 36.10/36.37 (step @p685 :rule symm :premises (@p269)) % 36.10/36.37 (step @p822 :rule cong :premises (@p685) :args (@t286)) % 36.10/36.37 (step @p823 :rule cong :premises (@p822) :args (@t287)) % 36.10/36.37 (step @p765 :rule refl :args (@t293)) % 36.10/36.37 (step @p768 :rule refl :args (@t207)) % 36.10/36.37 (step @p766 :rule refl :args (@t209)) % 36.10/36.37 (step @p824 :rule cong :premises (@p766 @p685 @p768 @p765) :args (@t517)) % 36.10/36.37 (step @p769 :rule cong :premises (@p766 @p269 @p768 @p765) :args (@t304)) % 36.10/36.37 (step @p770 :rule trans :premises (@p302 @p476 @p769)) % 36.10/36.37 (step @p825 :rule trans :premises (@p770 @p824)) % 36.10/36.37 (step @p826 :rule cong :premises (@p825 @p823) :args (@t511)) % 36.10/36.37 (step @p827 :rule false_intro :premises (@p908)) % 36.10/36.37 (step @p828 :rule symm :premises (@p827)) % 36.10/36.37 (step @p829 :rule trans :premises (@p828 @p826 @p821)) % 36.10/36.37 (step @p830 false :rule eq_resolve :premises (@p829 @p820)) % 36.10/36.37 (step-pop @p909 :rule scope :premises (@p830)) % 36.10/36.37 (step-pop @p910 :rule scope :premises (@p909)) % 36.10/36.37 (step-pop @p911 :rule scope :premises (@p910)) % 36.10/36.37 (step-pop @p912 :rule scope :premises (@p911)) % 36.10/36.37 (step-pop @p913 :rule scope :premises (@p912)) % 36.10/36.37 (step @p831 :rule process_scope :premises (@p913) :args (false)) % 36.10/36.37 (assume-push @p914 @t275) % 36.10/36.37 (assume-push @p915 @t521) % 36.10/36.37 (assume-push @p916 @t300) % 36.10/36.37 (assume-push @p917 @t315) % 36.10/36.37 (assume-push @p918 @t522) % 36.10/36.37 (step @p842 :rule and_intro :premises (@p809 @p269 @p476 @p302 @p915)) % 36.10/36.37 (step-pop @p919 :rule scope :premises (@p842)) % 36.10/36.37 (step-pop @p920 :rule scope :premises (@p919)) % 36.10/36.37 (step-pop @p921 :rule scope :premises (@p920)) % 36.10/36.37 (step-pop @p922 :rule scope :premises (@p921)) % 36.10/36.37 (step-pop @p923 :rule scope :premises (@p922)) % 36.10/36.37 (step @p843 :rule process_scope :premises (@p923) :args (@t525)) % 36.10/36.37 (step @p849 :rule implies_elim :premises (@p843)) % 36.10/36.37 (step @p850 :rule resolution :premises (@p849 @p831) :args (true @t525)) % 36.10/36.37 (step @p851 :rule not_and :premises (@p850)) % 36.10/36.37 (step @p852 :rule eq_resolve :premises (@p851 @p814)) % 36.10/36.37 (step @p853 false :rule chain_m_resolution :premises (@p852 @p809 @p797 @p476 @p302 @p269) :args (false (@list false true false false false) (@list @t522 @t511 @t315 @t300 @t275))) % 36.10/36.37 ) % 36.10/36.37 % SZS output end Proof % 36.10/36.37 % cvc5 exiting %------------------------------------------------------------------------------