%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG215+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 : n006.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 08:05:31 AM UTC 2026 % Result : Theorem 0.36s 0.74s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG215+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n006.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:41:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.74 % SZS status Theorem % 0.36/0.74 % SZS output start Proof % 0.36/0.74 ( % 0.36/0.74 (declare-sort $$unsorted 0) % 0.36/0.74 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l2_struct_0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v7_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v8_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.m2_rmod_4 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l3_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.k1_rlvect_1 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.a_3_0_rmod_4 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.v5_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l1_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.k1_fraenkel (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.v5_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.k5_rmod_4 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.36/0.74 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.v6_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v1_rmod_5 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.m1_rmod_4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v4_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.k1_subset_1 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v3_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v6_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.k1_funct_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l1_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l1_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.l2_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.k2_rmod_4 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.74 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.74 (define @t3 () (tptp.u1_struct_0 @t1)) % 0.36/0.74 (define @t4 () (tptp.v1_rmod_5 (tptp.k1_subset_1 @t3) @t2 @t1)) % 0.36/0.74 (define @t5 () (tptp.l1_vectsp_2 @t1 @t2)) % 0.36/0.74 (define @t6 () (tptp.v5_vectsp_2 @t1 @t2)) % 0.36/0.74 (define @t7 () (tptp.v6_rlvect_1 @t1)) % 0.36/0.74 (define @t8 () (tptp.v5_rlvect_1 @t1)) % 0.36/0.74 (define @t9 () (tptp.v4_rlvect_1 @t1)) % 0.36/0.74 (define @t10 () (tptp.v3_rlvect_1 @t1)) % 0.36/0.74 (define @t11 () (tptp.v3_struct_0 @t1)) % 0.36/0.74 (define @t12 () (not @t11)) % 0.36/0.74 (define @t13 () (and @t12 @t10 @t9 @t8 @t7 @t6 @t5)) % 0.36/0.74 (define @t14 () (@list @t1)) % 0.36/0.74 (define @t15 () (forall @t14 (=> @t13 @t4))) % 0.36/0.74 (define @t16 () (tptp.l3_vectsp_1 @t2)) % 0.36/0.74 (define @t17 () (tptp.v8_vectsp_1 @t2)) % 0.36/0.74 (define @t18 () (tptp.v7_vectsp_1 @t2)) % 0.36/0.74 (define @t19 () (tptp.v6_vectsp_1 @t2)) % 0.36/0.74 (define @t20 () (tptp.v4_group_1 @t2)) % 0.36/0.74 (define @t21 () (tptp.v6_rlvect_1 @t2)) % 0.36/0.74 (define @t22 () (tptp.v5_rlvect_1 @t2)) % 0.36/0.74 (define @t23 () (tptp.v4_rlvect_1 @t2)) % 0.36/0.74 (define @t24 () (tptp.v3_rlvect_1 @t2)) % 0.36/0.74 (define @t25 () (tptp.v3_struct_0 @t2)) % 0.36/0.74 (define @t26 () (not @t25)) % 0.36/0.74 (define @t27 () (and @t26 @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16)) % 0.36/0.74 (define @t28 () (=> @t27 @t15)) % 0.36/0.74 (define @t29 () (@list @t2)) % 0.36/0.74 (define @t30 () (forall @t29 @t28)) % 0.36/0.74 (define @t31 () (not @t30)) % 0.36/0.74 (define @t32 () (tptp.r2_hidden @t2 @t1)) % 0.36/0.74 (define @t33 () (@list @t2 @t1)) % 0.36/0.74 (define @t34 () (@var "C" $$unsorted)) % 0.36/0.74 (define @t35 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.36/0.74 (define @t36 () (tptp.m1_subset_1 @t34 (tptp.k1_zfmisc_1 @t35))) % 0.36/0.74 (define @t37 () (@list @t2 @t1 @t34)) % 0.36/0.74 (define @t38 () (@var "D" $$unsorted)) % 0.36/0.74 (define @t39 () (tptp.k2_rmod_4 @t2 @t1 @t38)) % 0.36/0.74 (define @t40 () (tptp.k1_rlvect_1 @t1)) % 0.36/0.74 (define @t41 () (= (tptp.k5_rmod_4 @t2 @t1 @t38) @t40)) % 0.36/0.74 (define @t42 () (=> @t41 (= @t39 tptp.k1_xboole_0))) % 0.36/0.74 (define @t43 () (tptp.m2_rmod_4 @t38 @t2 @t1 @t34)) % 0.36/0.74 (define @t44 () (=> @t43 @t42)) % 0.36/0.74 (define @t45 () (@list @t38)) % 0.36/0.74 (define @t46 () (forall @t45 @t44)) % 0.36/0.74 (define @t47 () (tptp.v1_rmod_5 @t34 @t2 @t1)) % 0.36/0.74 (define @t48 () (= @t47 @t46)) % 0.36/0.74 (define @t49 () (tptp.k1_zfmisc_1 @t3)) % 0.36/0.74 (define @t50 () (tptp.m1_subset_1 @t34 @t49)) % 0.36/0.74 (define @t51 () (=> @t50 @t48)) % 0.36/0.74 (define @t52 () (@list @t34)) % 0.36/0.74 (define @t53 () (forall @t52 @t51)) % 0.36/0.74 (define @t54 () (=> @t13 @t53)) % 0.36/0.74 (define @t55 () (forall @t14 @t54)) % 0.36/0.74 (define @t56 () (=> @t27 @t55)) % 0.36/0.74 (define @t57 () (forall @t29 @t56)) % 0.36/0.74 (define @t58 () (tptp.k2_rmod_4 @t2 @t1 @t34)) % 0.36/0.74 (define @t59 () (tptp.m1_rmod_4 @t34 @t2 @t1)) % 0.36/0.74 (define @t60 () (= @t43 (tptp.r1_tarski @t39 @t34))) % 0.36/0.74 (define @t61 () (tptp.m1_rmod_4 @t38 @t2 @t1)) % 0.36/0.74 (define @t62 () (forall @t45 (=> @t61 @t60))) % 0.36/0.74 (define @t63 () (=> @t50 @t62)) % 0.36/0.74 (define @t64 () (forall @t52 @t63)) % 0.36/0.74 (define @t65 () (=> @t13 @t64)) % 0.36/0.74 (define @t66 () (forall @t14 @t65)) % 0.36/0.74 (define @t67 () (=> @t27 @t66)) % 0.36/0.74 (define @t68 () (forall @t29 @t67)) % 0.36/0.74 (define @t69 () (tptp.k1_fraenkel @t2 @t1)) % 0.36/0.74 (define @t70 () (tptp.v1_xboole_0 @t1)) % 0.36/0.74 (define @t71 () (not @t70)) % 0.36/0.74 (define @t72 () (tptp.u1_struct_0 @t2)) % 0.36/0.74 (define @t73 () (tptp.l2_struct_0 @t2)) % 0.36/0.74 (define @t74 () (tptp.k1_zfmisc_1 @t2)) % 0.36/0.74 (define @t75 () (tptp.k1_subset_1 @t2)) % 0.36/0.74 (define @t76 () (tptp.m1_subset_1 @t75 @t74)) % 0.36/0.74 (define @t77 () (tptp.v1_xboole_0 @t75)) % 0.36/0.74 (define @t78 () (forall @t29 (and @t77 @t76))) % 0.36/0.74 (define @t79 () (and @t26 @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t59)) % 0.36/0.74 (define @t80 () (tptp.k8_funct_2 @t2 @t1 @t34 @t38)) % 0.36/0.74 (define @t81 () (tptp.m1_relset_1 @t34 @t2 @t1)) % 0.36/0.74 (define @t82 () (tptp.v1_xboole_0 @t2)) % 0.36/0.74 (define @t83 () (not @t82)) % 0.36/0.74 (define @t84 () (and @t83 (tptp.v1_funct_1 @t34) (tptp.v1_funct_2 @t34 @t2 @t1) @t81 (tptp.m1_subset_1 @t38 @t2))) % 0.36/0.74 (define @t85 () (@list @t2 @t1 @t34 @t38)) % 0.36/0.74 (define @t86 () (tptp.l1_struct_0 @t2)) % 0.36/0.74 (define @t87 () (tptp.l1_group_1 @t2)) % 0.36/0.74 (define @t88 () (tptp.l1_rlvect_1 @t2)) % 0.36/0.74 (define @t89 () (tptp.l1_vectsp_1 @t2)) % 0.36/0.74 (define @t90 () (tptp.l2_vectsp_1 @t2)) % 0.36/0.74 (define @t91 () (tptp.v1_xboole_0 @t34)) % 0.36/0.74 (define @t92 () (tptp.m1_fraenkel @t34 @t2 @t1)) % 0.36/0.74 (define @t93 () (and @t26 @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5)) % 0.36/0.74 (define @t94 () (tptp.m2_fraenkel @t38 @t2 @t1 @t34)) % 0.36/0.74 (define @t95 () (and @t71 @t92)) % 0.36/0.74 (define @t96 () (tptp.m2_relset_1 @t34 @t2 @t1)) % 0.36/0.74 (define @t97 () (forall @t45 (=> @t43 @t61))) % 0.36/0.74 (define @t98 () (and @t26 @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50)) % 0.36/0.74 (define @t99 () (=> @t98 @t97)) % 0.36/0.74 (define @t100 () (forall @t37 @t99)) % 0.36/0.74 (define @t101 () (and @t26 @t86)) % 0.36/0.74 (define @t102 () (@var "E" $$unsorted)) % 0.36/0.74 (define @t103 () (tptp.u1_struct_0 @t34)) % 0.36/0.74 (define @t104 () (tptp.m1_subset_1 @t1 @t74)) % 0.36/0.74 (define @t105 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t72))) % 0.36/0.74 (define @t106 () (tptp.m1_subset_1 @t2 @t1)) % 0.36/0.74 (define @t107 () (= @t2 @t1)) % 0.36/0.74 (define @t108 () (= @t2 tptp.k1_xboole_0)) % 0.36/0.74 (define @t109 () (tptp.r1_tarski @t2 tptp.k1_xboole_0)) % 0.36/0.74 (define @t110 () (forall @t29 (=> @t109 @t108))) % 0.36/0.74 (define @t111 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t34))) % 0.36/0.74 (define @t112 () (forall @t29 (=> @t82 @t108))) % 0.36/0.74 (define @t113 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 0.36/0.74 (define @t114 () (tptp.v1_rmod_5 (tptp.k1_subset_1 (tptp.u1_struct_0 @t113)) @t2 @t113)) % 0.36/0.74 (define @t115 () (not (tptp.l1_vectsp_2 @t113 @t2))) % 0.36/0.74 (define @t116 () (not (tptp.v5_vectsp_2 @t113 @t2))) % 0.36/0.74 (define @t117 () (not (tptp.v6_rlvect_1 @t113))) % 0.36/0.74 (define @t118 () (not (tptp.v5_rlvect_1 @t113))) % 0.36/0.74 (define @t119 () (not (tptp.v4_rlvect_1 @t113))) % 0.36/0.74 (define @t120 () (not (tptp.v3_rlvect_1 @t113))) % 0.36/0.74 (define @t121 () (tptp.v3_struct_0 @t113)) % 0.36/0.74 (define @t122 () (not @t16)) % 0.36/0.74 (define @t123 () (not @t17)) % 0.36/0.74 (define @t124 () (not @t18)) % 0.36/0.74 (define @t125 () (not @t19)) % 0.36/0.74 (define @t126 () (not @t20)) % 0.36/0.74 (define @t127 () (not @t21)) % 0.36/0.74 (define @t128 () (not @t22)) % 0.36/0.74 (define @t129 () (not @t23)) % 0.36/0.74 (define @t130 () (not @t24)) % 0.36/0.74 (define @t131 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114)) % 0.36/0.74 (define @t132 () (@list @t2 @t113)) % 0.36/0.74 (define @t133 () (forall @t132 @t131)) % 0.36/0.74 (define @t134 () (@quantifiers_skolemize @t133 1)) % 0.36/0.74 (define @t135 () (@quantifiers_skolemize @t133 0)) % 0.36/0.74 (define @t136 () (tptp.k1_rlvect_1 @t134)) % 0.36/0.74 (define @t137 () (tptp.u1_struct_0 @t134)) % 0.36/0.74 (define @t138 () (tptp.k1_subset_1 @t137)) % 0.36/0.74 (define @t139 () (forall @t45 (or (not (tptp.m2_rmod_4 @t38 @t135 @t134 @t138)) (not (= (tptp.k5_rmod_4 @t135 @t134 @t38) @t136)) (= tptp.k1_xboole_0 (tptp.k2_rmod_4 @t135 @t134 @t38))))) % 0.36/0.74 (define @t140 () (@quantifiers_skolemize @t139 0)) % 0.36/0.74 (define @t141 () (tptp.k2_rmod_4 @t135 @t134 @t140)) % 0.36/0.74 (define @t142 () (not (tptp.r1_tarski @t141 tptp.k1_xboole_0))) % 0.36/0.74 (define @t143 () (or @t142 (= @t141 tptp.k1_xboole_0))) % 0.36/0.74 (define @t144 () (forall @t29 (or (not @t109) @t108))) % 0.36/0.74 (define @t145 () (= tptp.k1_xboole_0 @t141)) % 0.36/0.74 (define @t146 () (or @t142 @t145)) % 0.36/0.74 (define @t147 () (@list false)) % 0.36/0.74 (define @t148 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 0.36/0.74 (define @t149 () (@var "BOUND_VARIABLE_7906" $$unsorted)) % 0.36/0.74 (define @t150 () (= (tptp.v1_rmod_5 @t149 @t2 @t148) (forall @t45 (or (not (tptp.m2_rmod_4 @t38 @t2 @t148 @t149)) (not (= (tptp.k5_rmod_4 @t2 @t148 @t38) (tptp.k1_rlvect_1 @t148))) (= tptp.k1_xboole_0 (tptp.k2_rmod_4 @t2 @t148 @t38)))))) % 0.36/0.74 (define @t151 () (not (tptp.m1_subset_1 @t149 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t148))))) % 0.36/0.74 (define @t152 () (not (tptp.l1_vectsp_2 @t148 @t2))) % 0.36/0.74 (define @t153 () (not (tptp.v5_vectsp_2 @t148 @t2))) % 0.36/0.74 (define @t154 () (not (tptp.v6_rlvect_1 @t148))) % 0.36/0.74 (define @t155 () (not (tptp.v5_rlvect_1 @t148))) % 0.36/0.74 (define @t156 () (not (tptp.v4_rlvect_1 @t148))) % 0.36/0.74 (define @t157 () (not (tptp.v3_rlvect_1 @t148))) % 0.36/0.74 (define @t158 () (tptp.v3_struct_0 @t148)) % 0.36/0.74 (define @t159 () (or @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t150)) % 0.36/0.74 (define @t160 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t159)) % 0.36/0.74 (define @t161 () (forall (@list @t2 @t148 @t149) @t160)) % 0.36/0.74 (define @t162 () (@list @t148 @t149)) % 0.36/0.74 (define @t163 () (forall @t162 @t160)) % 0.36/0.74 (define @t164 () (forall @t162 @t159)) % 0.36/0.74 (define @t165 () (@var "BOUND_VARIABLE_7884" $$unsorted)) % 0.36/0.74 (define @t166 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t164)) % 0.36/0.74 (define @t167 () (= tptp.k1_xboole_0 @t39)) % 0.36/0.74 (define @t168 () (not @t41)) % 0.36/0.74 (define @t169 () (= (tptp.v1_rmod_5 @t165 @t2 @t1) (forall @t45 (or (not (tptp.m2_rmod_4 @t38 @t2 @t1 @t165)) @t168 @t167)))) % 0.36/0.74 (define @t170 () (not (tptp.m1_subset_1 @t165 @t49))) % 0.36/0.74 (define @t171 () (not @t5)) % 0.36/0.74 (define @t172 () (not @t6)) % 0.36/0.74 (define @t173 () (not @t7)) % 0.36/0.74 (define @t174 () (not @t8)) % 0.36/0.74 (define @t175 () (not @t9)) % 0.36/0.74 (define @t176 () (not @t10)) % 0.36/0.74 (define @t177 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169)) % 0.36/0.74 (define @t178 () (@list @t1 @t165)) % 0.36/0.74 (define @t179 () (forall @t178 @t177)) % 0.36/0.74 (define @t180 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t179)) % 0.36/0.74 (define @t181 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122)) % 0.36/0.74 (define @t182 () (not @t26)) % 0.36/0.74 (define @t183 () (or @t182 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122)) % 0.36/0.74 (define @t184 () (not @t27)) % 0.36/0.74 (define @t185 () (or @t170 @t169)) % 0.36/0.74 (define @t186 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t185)) % 0.36/0.74 (define @t187 () (forall @t178 @t186)) % 0.36/0.74 (define @t188 () (@list @t165)) % 0.36/0.74 (define @t189 () (forall @t188 @t186)) % 0.36/0.74 (define @t190 () (forall @t188 @t185)) % 0.36/0.74 (define @t191 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t190)) % 0.36/0.74 (define @t192 () (not @t43)) % 0.36/0.74 (define @t193 () (or @t192 @t168 @t167)) % 0.36/0.74 (define @t194 () (= @t47 (forall @t45 @t193))) % 0.36/0.74 (define @t195 () (not @t50)) % 0.36/0.74 (define @t196 () (forall @t52 (or @t195 @t194))) % 0.36/0.74 (define @t197 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t196)) % 0.36/0.74 (define @t198 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171)) % 0.36/0.74 (define @t199 () (not @t12)) % 0.36/0.74 (define @t200 () (or @t199 @t176 @t175 @t174 @t173 @t172 @t171)) % 0.36/0.74 (define @t201 () (not @t13)) % 0.36/0.74 (define @t202 () (=> @t41 @t167)) % 0.36/0.74 (define @t203 () (forall @t29 @t76)) % 0.36/0.74 (define @t204 () (@list @t2)) % 0.36/0.74 (define @t205 () (forall @t29 @t77)) % 0.36/0.74 (define @t206 () (and @t205 @t203)) % 0.36/0.74 (define @t207 () (@list @t137)) % 0.36/0.74 (define @t208 () (or @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114)) % 0.36/0.74 (define @t209 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t208)) % 0.36/0.74 (define @t210 () (forall @t132 @t209)) % 0.36/0.74 (define @t211 () (@list @t113)) % 0.36/0.74 (define @t212 () (forall @t211 @t209)) % 0.36/0.74 (define @t213 () (forall @t211 @t208)) % 0.36/0.74 (define @t214 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t213)) % 0.36/0.74 (define @t215 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t4)) % 0.36/0.74 (define @t216 () (forall @t14 @t215)) % 0.36/0.74 (define @t217 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t216)) % 0.36/0.74 (define @t218 () (tptp.l1_vectsp_2 @t134 @t135)) % 0.36/0.74 (define @t219 () (tptp.v1_rmod_5 @t138 @t135 @t134)) % 0.36/0.74 (define @t220 () (not @t218)) % 0.36/0.74 (define @t221 () (tptp.v5_vectsp_2 @t134 @t135)) % 0.36/0.74 (define @t222 () (not @t221)) % 0.36/0.74 (define @t223 () (tptp.v6_rlvect_1 @t134)) % 0.36/0.74 (define @t224 () (not @t223)) % 0.36/0.74 (define @t225 () (tptp.v5_rlvect_1 @t134)) % 0.36/0.74 (define @t226 () (not @t225)) % 0.36/0.74 (define @t227 () (tptp.v4_rlvect_1 @t134)) % 0.36/0.74 (define @t228 () (not @t227)) % 0.36/0.74 (define @t229 () (tptp.v3_rlvect_1 @t134)) % 0.36/0.74 (define @t230 () (not @t229)) % 0.36/0.74 (define @t231 () (tptp.v3_struct_0 @t134)) % 0.36/0.74 (define @t232 () (tptp.l3_vectsp_1 @t135)) % 0.36/0.74 (define @t233 () (not @t232)) % 0.36/0.74 (define @t234 () (tptp.v8_vectsp_1 @t135)) % 0.36/0.74 (define @t235 () (not @t234)) % 0.36/0.74 (define @t236 () (tptp.v7_vectsp_1 @t135)) % 0.36/0.74 (define @t237 () (not @t236)) % 0.36/0.74 (define @t238 () (tptp.v6_vectsp_1 @t135)) % 0.36/0.74 (define @t239 () (not @t238)) % 0.36/0.74 (define @t240 () (tptp.v4_group_1 @t135)) % 0.36/0.74 (define @t241 () (not @t240)) % 0.36/0.74 (define @t242 () (tptp.v6_rlvect_1 @t135)) % 0.36/0.74 (define @t243 () (not @t242)) % 0.36/0.74 (define @t244 () (tptp.v5_rlvect_1 @t135)) % 0.36/0.74 (define @t245 () (not @t244)) % 0.36/0.74 (define @t246 () (tptp.v4_rlvect_1 @t135)) % 0.36/0.74 (define @t247 () (not @t246)) % 0.36/0.74 (define @t248 () (tptp.v3_rlvect_1 @t135)) % 0.36/0.74 (define @t249 () (not @t248)) % 0.36/0.74 (define @t250 () (tptp.v3_struct_0 @t135)) % 0.36/0.74 (define @t251 () (or @t250 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t230 @t228 @t226 @t224 @t222 @t220 @t219)) % 0.36/0.74 (define @t252 () (@list true)) % 0.36/0.74 (define @t253 () (@list @t251)) % 0.36/0.74 (define @t254 () (= @t219 @t139)) % 0.36/0.74 (define @t255 () (tptp.m1_subset_1 @t138 (tptp.k1_zfmisc_1 @t137))) % 0.36/0.74 (define @t256 () (not @t255)) % 0.36/0.74 (define @t257 () (or @t250 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t230 @t228 @t226 @t224 @t222 @t220 @t256 @t254)) % 0.36/0.74 (define @t258 () (not @t139)) % 0.36/0.74 (define @t259 () (@list true false)) % 0.36/0.74 (define @t260 () (tptp.k5_rmod_4 @t135 @t134 @t140)) % 0.36/0.74 (define @t261 () (tptp.m2_rmod_4 @t140 @t135 @t134 @t138)) % 0.36/0.74 (define @t262 () (not @t261)) % 0.36/0.74 (define @t263 () (or @t262 (not (= @t136 @t260)) @t145)) % 0.36/0.74 (define @t264 () (not @t263)) % 0.36/0.74 (define @t265 () (not (= @t260 @t136))) % 0.36/0.74 (define @t266 () (or @t262 @t265 @t145)) % 0.36/0.74 (define @t267 () (not @t266)) % 0.36/0.74 (define @t268 () (@list @t263)) % 0.36/0.74 (define @t269 () (tptp.v1_xboole_0 @t138)) % 0.36/0.74 (define @t270 () (not @t269)) % 0.36/0.74 (define @t271 () (or @t270 (= @t138 tptp.k1_xboole_0))) % 0.36/0.74 (define @t272 () (forall @t29 (or @t83 @t108))) % 0.36/0.74 (define @t273 () (= tptp.k1_xboole_0 @t138)) % 0.36/0.74 (define @t274 () (or @t270 @t273)) % 0.36/0.74 (define @t275 () (@list false false)) % 0.36/0.74 (define @t276 () (tptp.r1_tarski @t141 @t138)) % 0.36/0.74 (define @t277 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 0.36/0.74 (define @t278 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 0.36/0.74 (define @t279 () (@var "BOUND_VARIABLE_8044" $$unsorted)) % 0.36/0.74 (define @t280 () (= (tptp.m2_rmod_4 @t278 @t2 @t279 @t277) (tptp.r1_tarski (tptp.k2_rmod_4 @t2 @t279 @t278) @t277))) % 0.36/0.74 (define @t281 () (not (tptp.m1_rmod_4 @t278 @t2 @t279))) % 0.36/0.74 (define @t282 () (not (tptp.m1_subset_1 @t277 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t279))))) % 0.36/0.74 (define @t283 () (not (tptp.l1_vectsp_2 @t279 @t2))) % 0.36/0.74 (define @t284 () (not (tptp.v5_vectsp_2 @t279 @t2))) % 0.36/0.74 (define @t285 () (not (tptp.v6_rlvect_1 @t279))) % 0.36/0.74 (define @t286 () (not (tptp.v5_rlvect_1 @t279))) % 0.36/0.74 (define @t287 () (not (tptp.v4_rlvect_1 @t279))) % 0.36/0.74 (define @t288 () (not (tptp.v3_rlvect_1 @t279))) % 0.36/0.74 (define @t289 () (tptp.v3_struct_0 @t279)) % 0.36/0.74 (define @t290 () (or @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280)) % 0.36/0.74 (define @t291 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t290)) % 0.36/0.74 (define @t292 () (forall (@list @t2 @t279 @t277 @t278) @t291)) % 0.36/0.74 (define @t293 () (@list @t279 @t277 @t278)) % 0.36/0.74 (define @t294 () (forall @t293 @t291)) % 0.36/0.74 (define @t295 () (forall @t293 @t290)) % 0.36/0.74 (define @t296 () (@var "BOUND_VARIABLE_8024" $$unsorted)) % 0.36/0.74 (define @t297 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 0.36/0.74 (define @t298 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t295)) % 0.36/0.74 (define @t299 () (= (tptp.m2_rmod_4 @t296 @t2 @t1 @t297) (tptp.r1_tarski (tptp.k2_rmod_4 @t2 @t1 @t296) @t297))) % 0.36/0.74 (define @t300 () (not (tptp.m1_rmod_4 @t296 @t2 @t1))) % 0.36/0.74 (define @t301 () (not (tptp.m1_subset_1 @t297 @t49))) % 0.36/0.74 (define @t302 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t301 @t300 @t299)) % 0.36/0.74 (define @t303 () (@list @t1 @t297 @t296)) % 0.36/0.74 (define @t304 () (forall @t303 @t302)) % 0.36/0.74 (define @t305 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t304)) % 0.36/0.74 (define @t306 () (or @t301 @t300 @t299)) % 0.36/0.74 (define @t307 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t306)) % 0.36/0.74 (define @t308 () (forall @t303 @t307)) % 0.36/0.74 (define @t309 () (@list @t297 @t296)) % 0.36/0.74 (define @t310 () (forall @t309 @t307)) % 0.36/0.74 (define @t311 () (forall @t309 @t306)) % 0.36/0.74 (define @t312 () (@var "BOUND_VARIABLE_8004" $$unsorted)) % 0.36/0.74 (define @t313 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t311)) % 0.36/0.74 (define @t314 () (= (tptp.m2_rmod_4 @t312 @t2 @t1 @t34) (tptp.r1_tarski (tptp.k2_rmod_4 @t2 @t1 @t312) @t34))) % 0.36/0.74 (define @t315 () (not (tptp.m1_rmod_4 @t312 @t2 @t1))) % 0.36/0.74 (define @t316 () (or @t195 @t315 @t314)) % 0.36/0.74 (define @t317 () (@list @t34 @t312)) % 0.36/0.74 (define @t318 () (forall @t317 @t316)) % 0.36/0.74 (define @t319 () (or @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t318)) % 0.36/0.74 (define @t320 () (or @t315 @t314)) % 0.36/0.74 (define @t321 () (or @t195 @t320)) % 0.36/0.74 (define @t322 () (forall @t317 @t321)) % 0.36/0.74 (define @t323 () (@list @t312)) % 0.36/0.74 (define @t324 () (forall @t323 @t321)) % 0.36/0.74 (define @t325 () (forall @t323 @t320)) % 0.36/0.74 (define @t326 () (@list @t38)) % 0.36/0.74 (define @t327 () (or @t195 @t325)) % 0.36/0.74 (define @t328 () (forall @t45 (or (not @t61) @t60))) % 0.36/0.74 (define @t329 () (@list @t135 @t134 @t138 @t140)) % 0.36/0.74 (define @t330 () (@var "BOUND_VARIABLE_8220" $$unsorted)) % 0.36/0.74 (define @t331 () (tptp.m1_rmod_4 @t330 @t2 @t1)) % 0.36/0.74 (define @t332 () (not (tptp.m2_rmod_4 @t330 @t2 @t1 @t34))) % 0.36/0.74 (define @t333 () (or @t332 @t331)) % 0.36/0.74 (define @t334 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t195 @t333)) % 0.36/0.74 (define @t335 () (forall (@list @t2 @t1 @t34 @t330) @t334)) % 0.36/0.74 (define @t336 () (@list @t330)) % 0.36/0.74 (define @t337 () (forall @t336 @t334)) % 0.36/0.74 (define @t338 () (forall @t336 @t333)) % 0.36/0.74 (define @t339 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t195 @t338)) % 0.36/0.74 (define @t340 () (forall @t45 (or @t192 @t61))) % 0.36/0.74 (define @t341 () (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t195 @t340)) % 0.36/0.74 (define @t342 () (or @t182 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t199 @t176 @t175 @t174 @t173 @t172 @t171 @t195)) % 0.36/0.74 (define @t343 () (tptp.m1_rmod_4 @t140 @t135 @t134)) % 0.36/0.74 (define @t344 () (or @t250 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t230 @t228 @t226 @t224 @t222 @t220 @t256 @t262 @t343)) % 0.36/0.74 (define @t345 () (@list true false false false false false false false false false true false false false false false false false false false)) % 0.36/0.74 (define @t346 () (= @t261 @t276)) % 0.36/0.74 (define @t347 () (not @t343)) % 0.36/0.74 (define @t348 () (or @t250 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t230 @t228 @t226 @t224 @t222 @t220 @t256 @t347 @t346)) % 0.36/0.74 (assume @p1 @t31) % 0.36/0.74 (assume @p2 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t1 @t2))))) % 0.36/0.74 (assume @p3 (forall @t37 (=> @t36 (tptp.v1_relat_1 @t34)))) % 0.36/0.74 (assume @p4 @t57) % 0.36/0.74 (assume @p5 (forall @t29 (=> @t27 (forall @t14 (=> @t13 (forall @t52 (=> @t59 (= @t58 (tptp.a_3_0_rmod_4 @t2 @t1 @t34))))))))) % 0.36/0.74 (assume @p6 @t68) % 0.36/0.74 (assume @p7 (forall @t33 (=> @t71 (tptp.m1_fraenkel @t69 @t2 @t1)))) % 0.36/0.74 (assume @p8 true) % 0.36/0.74 (assume @p9 (forall @t29 (=> @t73 (tptp.m1_subset_1 (tptp.k1_rlvect_1 @t2) @t72)))) % 0.36/0.74 (assume @p10 @t78) % 0.36/0.74 (assume @p11 (forall @t37 (=> @t79 (and (tptp.v1_finset_1 @t58) (tptp.m1_subset_1 @t58 @t49))))) % 0.36/0.74 (assume @p12 (forall @t37 (=> @t79 (tptp.m1_subset_1 (tptp.k5_rmod_4 @t2 @t1 @t34) @t3)))) % 0.36/0.74 (assume @p13 (forall @t85 (=> @t84 (tptp.m1_subset_1 @t80 @t1)))) % 0.36/0.74 (assume @p14 (forall @t29 (=> @t87 @t86))) % 0.36/0.74 (assume @p15 (forall @t29 (=> @t88 @t73))) % 0.36/0.74 (assume @p16 (forall @t29 (=> @t89 @t87))) % 0.36/0.74 (assume @p17 (forall @t29 (=> @t86 (forall @t14 (=> @t5 (tptp.l1_rlvect_1 @t1)))))) % 0.36/0.74 (assume @p18 (forall @t29 (=> @t73 @t86))) % 0.36/0.74 (assume @p19 (forall @t29 (=> @t90 (and @t89 @t73)))) % 0.36/0.74 (assume @p20 (forall @t29 (=> @t16 (and @t88 @t90)))) % 0.36/0.74 (assume @p21 (forall @t37 (=> @t92 (and (not @t91) (tptp.v1_fraenkel @t34))))) % 0.36/0.74 (assume @p22 (forall @t33 (=> @t93 (forall @t52 (=> @t59 (tptp.m2_fraenkel @t34 @t3 @t72 (tptp.k1_fraenkel @t3 @t72))))))) % 0.36/0.74 (assume @p23 (forall @t37 (=> @t95 (forall @t45 (=> @t94 (and (tptp.v1_funct_1 @t38) (tptp.v1_funct_2 @t38 @t2 @t1) (tptp.m2_relset_1 @t38 @t2 @t1))))))) % 0.36/0.74 (assume @p24 (forall @t37 (=> @t96 @t36))) % 0.36/0.74 (assume @p25 @t100) % 0.36/0.74 (assume @p26 (exists @t29 @t87)) % 0.36/0.74 (assume @p27 (exists @t29 @t88)) % 0.36/0.74 (assume @p28 (exists @t29 @t86)) % 0.36/0.74 (assume @p29 (exists @t29 @t89)) % 0.36/0.74 (assume @p30 (forall @t29 (=> @t86 (exists @t14 @t5)))) % 0.36/0.74 (assume @p31 (exists @t29 @t73)) % 0.36/0.74 (assume @p32 (exists @t29 @t90)) % 0.36/0.74 (assume @p33 (exists @t29 @t16)) % 0.36/0.74 (assume @p34 (forall @t33 (exists @t52 @t92))) % 0.36/0.74 (assume @p35 (forall @t33 (exists @t52 @t81))) % 0.36/0.74 (assume @p36 (forall @t33 (=> @t93 (exists @t52 @t59)))) % 0.36/0.74 (assume @p37 (forall @t29 (exists @t14 (tptp.m1_subset_1 @t1 @t2)))) % 0.36/0.74 (assume @p38 (forall @t37 (=> @t95 (exists @t45 @t94)))) % 0.36/0.74 (assume @p39 (forall @t33 (exists @t52 @t96))) % 0.36/0.74 (assume @p40 (forall @t37 (=> @t98 (exists @t45 @t43)))) % 0.36/0.74 (assume @p41 (forall @t29 (=> @t101 (not (tptp.v1_xboole_0 @t72))))) % 0.36/0.74 (assume @p42 (forall @t29 (not (tptp.v1_xboole_0 @t74)))) % 0.36/0.74 (assume @p43 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.36/0.74 (assume @p44 (forall @t33 (=> (and @t83 @t71) (not (tptp.v1_xboole_0 @t35))))) % 0.36/0.74 (assume @p45 (forall @t85 (=> (and @t12 @t10 @t9 @t8 @t7 (tptp.v4_group_1 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0.36/0.74 (step @p446 :rule trans :premises (@p445 @p439)) % 0.36/0.74 (step @p447 :rule trans :premises (@p446 @p438)) % 0.36/0.74 (step @p448 :rule aci_norm :args ((= (or @t198 @t318) @t319))) % 0.36/0.74 (step @p449 :rule refl :args (@t318)) % 0.36/0.74 (step @p450 :rule nary_cong :premises (@p187 @p449) :args ((or @t201 @t318))) % 0.36/0.74 (step @p451 :rule trans :premises (@p450 @p448)) % 0.36/0.74 (step @p452 :rule bool-impl-elim :args (@t13 @t318)) % 0.36/0.74 (step @p453 :rule trans :premises (@p452 @p451)) % 0.36/0.74 (step @p454 :rule cong :premises (@p453) :args ((forall @t14 (=> @t13 @t318)))) % 0.36/0.74 (step @p455 :rule trans :premises (@p454 @p447)) % 0.36/0.74 (step @p456 :rule aci_norm :args ((= @t321 @t316))) % 0.36/0.74 (step @p457 :rule cong :premises (@p456) :args (@t322)) % 0.36/0.74 (step @p458 :rule quant-merge-prenex :args ((= (forall @t52 @t324) @t322))) % 0.36/0.74 (step @p459 :rule alpha_equiv :args (@t325 (@list @t312) @t326)) % 0.36/0.74 (step @p460 :rule refl :args (@t195)) % 0.36/0.74 (step @p461 :rule nary_cong :premises (@p460 @p459) :args (@t327)) % 0.36/0.74 (step @p462 :rule quant-miniscope-or :args ((= @t324 @t327))) % 0.36/0.74 (step @p463 :rule trans :premises (@p462 @p461)) % 0.36/0.74 (step @p464 :rule symm :premises (@p463)) % 0.36/0.74 (step @p465 :rule cong :premises (@p464) :args ((forall @t52 (or @t195 @t328)))) % 0.36/0.74 (step @p466 :rule trans :premises (@p465 @p458)) % 0.36/0.74 (step @p467 :rule trans :premises (@p466 @p457)) % 0.36/0.74 (step @p468 :rule bool-impl-elim :args (@t50 @t328)) % 0.36/0.74 (step @p469 :rule cong :premises (@p468) :args ((forall @t52 (=> @t50 @t328)))) % 0.36/0.74 (step @p470 :rule trans :premises (@p469 @p467)) % 0.36/0.74 (step @p471 :rule bool-impl-elim :args (@t61 @t60)) % 0.36/0.74 (step @p472 :rule cong :premises (@p471) :args (@t62)) % 0.36/0.74 (step @p473 :rule cong :premises (@p213 @p472) :args (@t63)) % 0.36/0.74 (step @p474 :rule cong :premises (@p473) :args (@t64)) % 0.36/0.74 (step @p475 :rule trans :premises (@p474 @p470)) % 0.36/0.74 (step @p476 :rule cong :premises (@p217 @p475) :args (@t65)) % 0.36/0.74 (step @p477 :rule cong :premises (@p476) :args (@t66)) % 0.36/0.74 (step @p478 :rule trans :premises (@p477 @p455)) % 0.36/0.74 (step @p479 :rule cong :premises (@p221 @p478) :args (@t67)) % 0.36/0.74 (step @p480 :rule cong :premises (@p479) :args (@t68)) % 0.36/0.74 (step @p481 :rule trans :premises (@p480 @p436)) % 0.36/0.74 (step @p482 :rule eq_resolve :premises (@p6 @p481)) % 0.36/0.74 (step @p483 :rule instantiate :premises (@p482) :args (@t329)) % 0.36/0.74 (step @p484 :rule aci_norm :args ((= @t334 (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t195 @t332 @t331)))) % 0.36/0.74 (step @p485 :rule cong :premises (@p484) :args (@t335)) % 0.36/0.74 (step @p486 :rule quant-merge-prenex :args ((= (forall @t37 @t337) @t335))) % 0.36/0.74 (step @p487 :rule alpha_equiv :args (@t338 (@list @t330) @t326)) % 0.36/0.74 (step @p488 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p460 @p487) :args (@t339)) % 0.36/0.74 (step @p489 :rule quant-miniscope-or :args ((= @t337 @t339))) % 0.36/0.74 (step @p490 :rule trans :premises (@p489 @p488)) % 0.36/0.74 (step @p491 :rule symm :premises (@p490)) % 0.36/0.74 (step @p492 :rule cong :premises (@p491) :args ((forall @t37 @t341))) % 0.36/0.74 (step @p493 :rule trans :premises (@p492 @p486)) % 0.36/0.74 (step @p494 :rule trans :premises (@p493 @p485)) % 0.36/0.74 (step @p495 :rule aci_norm :args ((= (or (or @t25 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t11 @t176 @t175 @t174 @t173 @t172 @t171 @t195) @t340) @t341))) % 0.36/0.74 (step @p496 :rule refl :args (@t340)) % 0.36/0.74 (step @p497 :rule nary_cong :premises (@p109 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p166 @p155 @p154 @p153 @p152 @p151 @p150 @p460) :args (@t342)) % 0.36/0.74 (step @p498 :rule aci_norm :args ((= (or @t182 (or @t130 (or @t129 (or @t128 (or @t127 (or @t126 (or @t125 (or @t124 (or @t123 (or @t122 (or @t199 (or @t176 (or @t175 (or @t174 (or @t173 (or @t172 (or @t171 @t195))))))))))))))))) @t342))) % 0.36/0.74 (step @p499 :rule trans :premises (@p498 @p497)) % 0.36/0.74 (step @p500 :rule bool-and-de-morgan :args (@t5 @t50 true)) % 0.36/0.74 (step @p501 :rule nary_cong :premises (@p151 @p500) :args ((or @t172 (not (and @t5 @t50))))) % 0.36/0.74 (step @p502 :rule bool-and-de-morgan :args (@t6 @t5 (and @t50))) % 0.36/0.74 (step @p503 :rule trans :premises (@p502 @p501)) % 0.36/0.74 (step @p504 :rule nary_cong :premises (@p152 @p503) :args ((or @t173 (not (and @t6 @t5 @t50))))) % 0.36/0.74 (step @p505 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5 @t50))) % 0.36/0.74 (step @p506 :rule trans :premises (@p505 @p504)) % 0.36/0.74 (step @p507 :rule nary_cong :premises (@p153 @p506) :args ((or @t174 (not (and @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p508 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6 @t5 @t50))) % 0.36/0.74 (step @p509 :rule trans :premises (@p508 @p507)) % 0.36/0.74 (step @p510 :rule nary_cong :premises (@p154 @p509) :args ((or @t175 (not (and @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p511 :rule bool-and-de-morgan :args (@t9 @t8 (and @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p512 :rule trans :premises (@p511 @p510)) % 0.36/0.74 (step @p513 :rule nary_cong :premises (@p155 @p512) :args ((or @t176 (not (and @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p514 :rule bool-and-de-morgan :args (@t10 @t9 (and @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p515 :rule trans :premises (@p514 @p513)) % 0.36/0.74 (step @p516 :rule nary_cong :premises (@p183 @p515) :args ((or @t199 (not (and @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p517 :rule bool-and-de-morgan :args (@t12 @t10 (and @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p518 :rule trans :premises (@p517 @p516)) % 0.36/0.74 (step @p519 :rule nary_cong :premises (@p90 @p518) :args ((or @t122 (not (and @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p520 :rule bool-and-de-morgan :args (@t16 @t12 (and @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p521 :rule trans :premises (@p520 @p519)) % 0.36/0.74 (step @p522 :rule nary_cong :premises (@p91 @p521) :args ((or @t123 (not (and @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p523 :rule bool-and-de-morgan :args (@t17 @t16 (and @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p524 :rule trans :premises (@p523 @p522)) % 0.36/0.74 (step @p525 :rule nary_cong :premises (@p92 @p524) :args ((or @t124 (not (and @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p526 :rule bool-and-de-morgan :args (@t18 @t17 (and @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p527 :rule trans :premises (@p526 @p525)) % 0.36/0.74 (step @p528 :rule nary_cong :premises (@p93 @p527) :args ((or @t125 (not (and @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p529 :rule bool-and-de-morgan :args (@t19 @t18 (and @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p530 :rule trans :premises (@p529 @p528)) % 0.36/0.74 (step @p531 :rule nary_cong :premises (@p94 @p530) :args ((or @t126 (not (and @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p532 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p533 :rule trans :premises (@p532 @p531)) % 0.36/0.74 (step @p534 :rule nary_cong :premises (@p95 @p533) :args ((or @t127 (not (and @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p535 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p536 :rule trans :premises (@p535 @p534)) % 0.36/0.74 (step @p537 :rule nary_cong :premises (@p96 @p536) :args ((or @t128 (not (and @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p538 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p539 :rule trans :premises (@p538 @p537)) % 0.36/0.74 (step @p540 :rule nary_cong :premises (@p97 @p539) :args ((or @t129 (not (and @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p541 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p542 :rule trans :premises (@p541 @p540)) % 0.36/0.74 (step @p543 :rule nary_cong :premises (@p98 @p542) :args ((or @t130 (not (and @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p544 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p545 :rule trans :premises (@p544 @p543)) % 0.36/0.74 (step @p546 :rule nary_cong :premises (@p135 @p545) :args ((or @t182 (not (and @t24 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))))) % 0.36/0.74 (step @p547 :rule bool-and-de-morgan :args (@t26 @t24 (and @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t12 @t10 @t9 @t8 @t7 @t6 @t5 @t50))) % 0.36/0.74 (step @p548 :rule trans :premises (@p547 @p546)) % 0.36/0.74 (step @p549 :rule trans :premises (@p548 @p499)) % 0.36/0.74 (step @p550 :rule nary_cong :premises (@p549 @p496) :args ((or (not @t98) @t340))) % 0.36/0.74 (step @p551 :rule trans :premises (@p550 @p495)) % 0.36/0.74 (step @p552 :rule bool-impl-elim :args (@t98 @t340)) % 0.36/0.74 (step @p553 :rule trans :premises (@p552 @p551)) % 0.36/0.74 (step @p554 :rule cong :premises (@p553) :args ((forall @t37 (=> @t98 @t340)))) % 0.36/0.74 (step @p555 :rule trans :premises (@p554 @p494)) % 0.36/0.74 (step @p556 :rule bool-impl-elim :args (@t43 @t61)) % 0.36/0.74 (step @p557 :rule cong :premises (@p556) :args (@t97)) % 0.36/0.74 (step @p558 :rule refl :args (@t98)) % 0.36/0.74 (step @p559 :rule cong :premises (@p558 @p557) :args (@t99)) % 0.36/0.74 (step @p560 :rule cong :premises (@p559) :args (@t100)) % 0.36/0.74 (step @p561 :rule trans :premises (@p560 @p555)) % 0.36/0.74 (step @p562 :rule eq_resolve :premises (@p25 @p561)) % 0.36/0.74 (step @p563 :rule instantiate :premises (@p562) :args (@t329)) % 0.36/0.74 (step @p564 :rule bool-double-not-elim :args (@t261)) % 0.36/0.74 (step @p565 :rule refl :args (@t263)) % 0.36/0.74 (step @p566 :rule nary_cong :premises (@p565 @p564) :args ((or @t263 (not @t262)))) % 0.36/0.74 (step @p567 :rule cnf_or_neg :args (@t263 0)) % 0.36/0.74 (step @p568 :rule eq_resolve :premises (@p567 @p566)) % 0.36/0.74 (step @p569 :rule reordering :premises (@p568) :args ((or @t261 @t263))) % 0.36/0.74 (step @p570 :rule chain_m_resolution :premises (@p569 @p388) :args (@t261 @t252 @t268)) % 0.36/0.74 (step @p571 :rule cnf_or_pos :args (@t344)) % 0.36/0.74 (step @p572 :rule reordering :premises (@p571) :args ((or @t250 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t230 @t228 @t226 @t224 @t222 @t220 @t256 @t262 @t343 (not @t344)))) % 0.36/0.74 (step @p573 :rule chain_m_resolution :premises (@p572 @p361 @p359 @p353 @p347 @p341 @p335 @p329 @p323 @p317 @p311 @p305 @p303 @p297 @p291 @p285 @p279 @p273 @p234 @p570 @p563) :args (@t343 @t345 (@list @t250 @t248 @t246 @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t231 @t229 @t227 @t225 @t223 @t221 @t218 @t255 @t261 @t344))) % 0.36/0.74 (step @p574 :rule cnf_or_pos :args (@t348)) % 0.36/0.74 (step @p575 :rule reordering :premises (@p574) :args ((or @t250 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t230 @t228 @t226 @t224 @t222 @t220 @t256 @t347 @t346 (not @t348)))) % 0.36/0.74 (step @p576 :rule chain_m_resolution :premises (@p575 @p361 @p359 @p353 @p347 @p341 @p335 @p329 @p323 @p317 @p311 @p305 @p303 @p297 @p291 @p285 @p279 @p273 @p234 @p573 @p483) :args (@t346 @t345 (@list @t250 @t248 @t246 @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t231 @t229 @t227 @t225 @t223 @t221 @t218 @t255 @t343 @t348))) % 0.36/0.74 (step @p577 :rule cnf_equiv_pos1 :args (@t346)) % 0.36/0.74 (step @p578 :rule reordering :premises (@p577) :args ((or @t262 @t276 (not @t346)))) % 0.36/0.74 (step @p579 :rule chain_m_resolution :premises (@p578 @p570 @p576) :args (@t276 @t275 (@list @t261 @t346))) % 0.36/0.74 (step @p580 :rule true_intro :premises (@p579)) % 0.36/0.74 (step @p581 :rule symm :premises (@p580)) % 0.36/0.74 (step @p582 :rule trans :premises (@p581 @p417 @p394)) % 0.36/0.74 (step @p583 false :rule eq_resolve :premises (@p582 @p70)) % 0.36/0.74 ) % 0.36/0.74 % SZS output end Proof % 0.36/0.74 % cvc5 exiting %------------------------------------------------------------------------------