%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU438+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:48 AM UTC 2026 % Result : Theorem 34.03s 34.28s % Output : Proof 34.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU438+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:28:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.03/34.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.03/34.28 --- Run --no-e-matching --full-saturate-quant at 6... % 34.03/34.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.03/34.28 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.03/34.28 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.03/34.28 % SZS status Theorem % 34.03/34.28 % SZS output start Proof % 34.03/34.28 ( % 34.03/34.28 (declare-sort $$unsorted 0) % 34.03/34.28 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.03/34.28 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k4_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.03/34.28 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.03/34.28 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 34.03/34.28 (define @t1 () (@var "E" $$unsorted)) % 34.03/34.28 (define @t2 () (@var "D" $$unsorted)) % 34.03/34.28 (define @t3 () (@var "B" $$unsorted)) % 34.03/34.28 (define @t4 () (@var "A" $$unsorted)) % 34.03/34.28 (define @t5 () (tptp.k2_zfmisc_1 @t4 @t3)) % 34.03/34.28 (define @t6 () (@var "C" $$unsorted)) % 34.03/34.28 (define @t7 () (tptp.k8_relset_2 @t4 @t3 @t6 @t2)) % 34.03/34.28 (define @t8 () (tptp.r1_tarski (tptp.k4_subset_1 @t3 @t7 (tptp.k8_relset_2 @t4 @t3 @t6 @t1)) (tptp.k8_relset_2 @t4 @t3 @t6 (tptp.k4_subset_1 @t5 @t2 @t1)))) % 34.03/34.28 (define @t9 () (tptp.k1_zfmisc_1 @t5)) % 34.03/34.28 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 34.03/34.28 (define @t11 () (@list @t1)) % 34.03/34.28 (define @t12 () (forall @t11 (=> @t10 @t8))) % 34.03/34.28 (define @t13 () (tptp.m1_subset_1 @t2 @t9)) % 34.03/34.28 (define @t14 () (=> @t13 @t12)) % 34.03/34.28 (define @t15 () (@list @t2)) % 34.03/34.28 (define @t16 () (forall @t15 @t14)) % 34.03/34.28 (define @t17 () (tptp.k1_zfmisc_1 @t4)) % 34.03/34.28 (define @t18 () (tptp.m1_subset_1 @t6 @t17)) % 34.03/34.28 (define @t19 () (=> @t18 @t16)) % 34.03/34.28 (define @t20 () (@list @t4 @t3 @t6)) % 34.03/34.28 (define @t21 () (forall @t20 @t19)) % 34.03/34.28 (define @t22 () (not @t21)) % 34.03/34.28 (define @t23 () (tptp.r2_hidden @t4 @t3)) % 34.03/34.28 (define @t24 () (@list @t4 @t3)) % 34.03/34.28 (define @t25 () (tptp.v1_relat_1 @t4)) % 34.03/34.28 (define @t26 () (tptp.v1_xboole_0 @t4)) % 34.03/34.28 (define @t27 () (@list @t4)) % 34.03/34.28 (define @t28 () (tptp.v1_relat_1 @t6)) % 34.03/34.28 (define @t29 () (tptp.m1_subset_1 @t6 @t9)) % 34.03/34.28 (define @t30 () (forall @t20 (=> @t29 @t28))) % 34.03/34.28 (define @t31 () (tptp.k2_xboole_0 @t4 @t3)) % 34.03/34.28 (define @t32 () (tptp.k4_subset_1 @t4 @t3 @t6)) % 34.03/34.28 (define @t33 () (tptp.m1_subset_1 @t3 @t17)) % 34.03/34.28 (define @t34 () (and @t33 @t18)) % 34.03/34.28 (define @t35 () (forall @t20 (= (= @t6 @t31) (forall @t15 (= (tptp.r2_hidden @t2 @t6) (or (tptp.r2_hidden @t2 @t4) (tptp.r2_hidden @t2 @t3))))))) % 34.03/34.28 (define @t36 () (tptp.r2_hidden @t6 @t3)) % 34.03/34.28 (define @t37 () (tptp.r2_hidden @t6 @t4)) % 34.03/34.28 (define @t38 () (@list @t6)) % 34.03/34.28 (define @t39 () (forall @t38 (=> @t37 @t36))) % 34.03/34.28 (define @t40 () (tptp.r1_tarski @t4 @t3)) % 34.03/34.28 (define @t41 () (= @t40 @t39)) % 34.03/34.28 (define @t42 () (forall @t24 @t41)) % 34.03/34.28 (define @t43 () (tptp.k7_relset_2 @t4 @t3 @t6 @t2)) % 34.03/34.28 (define @t44 () (tptp.k1_zfmisc_1 @t3)) % 34.03/34.28 (define @t45 () (tptp.k4_relset_2 @t4 @t3 @t6 @t2)) % 34.03/34.28 (define @t46 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t4 @t44)))) % 34.03/34.28 (define @t47 () (@list @t4 @t3 @t6 @t2)) % 34.03/34.28 (define @t48 () (tptp.m1_subset_1 @t32 @t17)) % 34.03/34.28 (define @t49 () (forall @t20 (=> @t34 @t48))) % 34.03/34.28 (define @t50 () (tptp.k5_relset_2 @t4 @t3)) % 34.03/34.28 (define @t51 () (tptp.v1_relat_1 @t3)) % 34.03/34.28 (define @t52 () (tptp.k6_relset_2 @t4 @t3 @t6)) % 34.03/34.28 (define @t53 () (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t3 @t4))) % 34.03/34.28 (define @t54 () (tptp.m1_subset_1 @t6 @t53)) % 34.03/34.28 (define @t55 () (tptp.m1_subset_1 @t7 @t44)) % 34.03/34.28 (define @t56 () (and @t18 @t13)) % 34.03/34.28 (define @t57 () (forall @t47 (=> @t56 @t55))) % 34.03/34.28 (define @t58 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t17))) % 34.03/34.28 (define @t59 () (tptp.m1_eqrel_1 @t3 @t4)) % 34.03/34.28 (define @t60 () (tptp.m2_relset_1 @t6 @t4 @t3)) % 34.03/34.28 (define @t61 () (@list @t3)) % 34.03/34.28 (define @t62 () (tptp.m1_relset_1 @t6 @t4 @t3)) % 34.03/34.28 (define @t63 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 34.03/34.28 (define @t64 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.03/34.28 (define @t65 () (tptp.k1_tarski @t4)) % 34.03/34.28 (define @t66 () (tptp.v1_xboole_0 @t3)) % 34.03/34.28 (define @t67 () (not @t66)) % 34.03/34.28 (define @t68 () (not @t26)) % 34.03/34.28 (define @t69 () (tptp.k2_xboole_0 @t3 @t6)) % 34.03/34.28 (define @t70 () (= @t32 @t69)) % 34.03/34.28 (define @t71 () (forall @t20 (=> @t34 @t70))) % 34.03/34.28 (define @t72 () (tptp.k9_relat_1 @t3 @t65)) % 34.03/34.28 (define @t73 () (= (tptp.k9_relat_1 @t69 @t65) (tptp.k2_xboole_0 @t72 (tptp.k9_relat_1 @t6 @t65)))) % 34.03/34.28 (define @t74 () (forall @t38 (=> @t28 @t73))) % 34.03/34.28 (define @t75 () (=> @t51 @t74)) % 34.03/34.28 (define @t76 () (forall @t24 @t75)) % 34.03/34.28 (define @t77 () (tptp.m1_subset_1 @t4 @t3)) % 34.03/34.28 (define @t78 () (@var "F" $$unsorted)) % 34.03/34.28 (define @t79 () (tptp.k1_tarski @t78)) % 34.03/34.28 (define @t80 () (tptp.r2_hidden @t2 (tptp.k9_relat_1 @t1 @t79))) % 34.03/34.28 (define @t81 () (tptp.r2_hidden @t78 @t6)) % 34.03/34.28 (define @t82 () (@list @t78)) % 34.03/34.28 (define @t83 () (forall @t82 (=> @t81 @t80))) % 34.03/34.28 (define @t84 () (tptp.r2_hidden @t2 (tptp.k8_relset_2 @t3 @t4 @t6 @t1))) % 34.03/34.28 (define @t85 () (= @t84 @t83)) % 34.03/34.28 (define @t86 () (tptp.m1_subset_1 @t1 @t53)) % 34.03/34.28 (define @t87 () (=> @t86 @t85)) % 34.03/34.28 (define @t88 () (forall @t11 @t87)) % 34.03/34.28 (define @t89 () (tptp.m1_subset_1 @t2 @t4)) % 34.03/34.28 (define @t90 () (=> @t89 @t88)) % 34.03/34.28 (define @t91 () (forall @t15 @t90)) % 34.03/34.28 (define @t92 () (tptp.m1_subset_1 @t6 @t44)) % 34.03/34.28 (define @t93 () (=> @t92 @t91)) % 34.03/34.28 (define @t94 () (@list @t3 @t6)) % 34.03/34.28 (define @t95 () (forall @t94 @t93)) % 34.03/34.28 (define @t96 () (=> @t68 @t95)) % 34.03/34.28 (define @t97 () (forall @t27 @t96)) % 34.03/34.28 (define @t98 () (tptp.m1_subset_1 @t4 @t6)) % 34.03/34.28 (define @t99 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t6))) % 34.03/34.28 (define @t100 () (and @t23 @t99)) % 34.03/34.28 (define @t101 () (forall @t20 (=> @t100 @t98))) % 34.03/34.28 (define @t102 () (tptp.v1_xboole_0 @t6)) % 34.03/34.28 (define @t103 () (forall @t20 (not (and @t23 @t99 @t102)))) % 34.03/34.28 (define @t104 () (not @t18)) % 34.03/34.28 (define @t105 () (not @t33)) % 34.03/34.28 (define @t106 () (or @t105 @t104)) % 34.03/34.28 (define @t107 () (not @t34)) % 34.03/34.28 (define @t108 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 34.03/34.28 (define @t109 () (@var "BOUND_VARIABLE_7742" $$unsorted)) % 34.03/34.28 (define @t110 () (tptp.r1_tarski (tptp.k4_subset_1 @t3 (tptp.k8_relset_2 @t4 @t3 @t6 @t109) (tptp.k8_relset_2 @t4 @t3 @t6 @t108)) (tptp.k8_relset_2 @t4 @t3 @t6 (tptp.k4_subset_1 @t5 @t109 @t108)))) % 34.03/34.28 (define @t111 () (not (tptp.m1_subset_1 @t108 @t9))) % 34.03/34.28 (define @t112 () (not (tptp.m1_subset_1 @t109 @t9))) % 34.03/34.28 (define @t113 () (or @t104 @t112 @t111 @t110)) % 34.03/34.28 (define @t114 () (@list @t4 @t3 @t6 @t109 @t108)) % 34.03/34.28 (define @t115 () (forall @t114 @t113)) % 34.03/34.28 (define @t116 () (@quantifiers_skolemize @t115 4)) % 34.03/34.28 (define @t117 () (@quantifiers_skolemize @t115 2)) % 34.03/34.28 (define @t118 () (@quantifiers_skolemize @t115 1)) % 34.03/34.28 (define @t119 () (@quantifiers_skolemize @t115 0)) % 34.03/34.28 (define @t120 () (tptp.k8_relset_2 @t119 @t118 @t117 @t116)) % 34.03/34.28 (define @t121 () (@quantifiers_skolemize @t115 3)) % 34.03/34.28 (define @t122 () (tptp.k8_relset_2 @t119 @t118 @t117 @t121)) % 34.03/34.28 (define @t123 () (@list @t118 @t122 @t120)) % 34.03/34.28 (define @t124 () (not @t13)) % 34.03/34.28 (define @t125 () (or @t112 @t111 @t110)) % 34.03/34.28 (define @t126 () (or @t104 @t125)) % 34.03/34.28 (define @t127 () (forall @t114 @t126)) % 34.03/34.28 (define @t128 () (@list @t109 @t108)) % 34.03/34.28 (define @t129 () (forall @t128 @t126)) % 34.03/34.28 (define @t130 () (forall @t128 @t125)) % 34.03/34.28 (define @t131 () (@var "BOUND_VARIABLE_7722" $$unsorted)) % 34.03/34.28 (define @t132 () (or @t104 @t130)) % 34.03/34.28 (define @t133 () (tptp.r1_tarski (tptp.k4_subset_1 @t3 @t7 (tptp.k8_relset_2 @t4 @t3 @t6 @t131)) (tptp.k8_relset_2 @t4 @t3 @t6 (tptp.k4_subset_1 @t5 @t2 @t131)))) % 34.03/34.28 (define @t134 () (not (tptp.m1_subset_1 @t131 @t9))) % 34.03/34.28 (define @t135 () (or @t124 @t134 @t133)) % 34.03/34.28 (define @t136 () (@list @t2 @t131)) % 34.03/34.28 (define @t137 () (forall @t136 @t135)) % 34.03/34.28 (define @t138 () (or @t134 @t133)) % 34.03/34.28 (define @t139 () (or @t124 @t138)) % 34.03/34.28 (define @t140 () (forall @t136 @t139)) % 34.03/34.28 (define @t141 () (@list @t131)) % 34.03/34.28 (define @t142 () (forall @t141 @t139)) % 34.03/34.28 (define @t143 () (forall @t141 @t138)) % 34.03/34.28 (define @t144 () (@list @t1)) % 34.03/34.28 (define @t145 () (or @t124 @t143)) % 34.03/34.28 (define @t146 () (forall @t11 (or (not @t10) @t8))) % 34.03/34.28 (define @t147 () (tptp.k2_zfmisc_1 @t119 @t118)) % 34.03/34.28 (define @t148 () (tptp.k1_zfmisc_1 @t147)) % 34.03/34.28 (define @t149 () (tptp.m1_subset_1 @t116 @t148)) % 34.03/34.28 (define @t150 () (tptp.k4_subset_1 @t147 @t121 @t116)) % 34.03/34.28 (define @t151 () (tptp.k8_relset_2 @t119 @t118 @t117 @t150)) % 34.03/34.28 (define @t152 () (tptp.k4_subset_1 @t118 @t122 @t120)) % 34.03/34.28 (define @t153 () (tptp.r1_tarski @t152 @t151)) % 34.03/34.28 (define @t154 () (not @t149)) % 34.03/34.28 (define @t155 () (tptp.m1_subset_1 @t121 @t148)) % 34.03/34.28 (define @t156 () (not @t155)) % 34.03/34.28 (define @t157 () (tptp.m1_subset_1 @t117 (tptp.k1_zfmisc_1 @t119))) % 34.03/34.28 (define @t158 () (not @t157)) % 34.03/34.28 (define @t159 () (or @t158 @t156 @t154 @t153)) % 34.03/34.28 (define @t160 () (@list true)) % 34.03/34.28 (define @t161 () (@list @t159)) % 34.03/34.28 (define @t162 () (tptp.k1_zfmisc_1 @t118)) % 34.03/34.28 (define @t163 () (tptp.m1_subset_1 @t120 @t162)) % 34.03/34.28 (define @t164 () (or @t158 @t154 @t163)) % 34.03/34.28 (define @t165 () (@list false false false)) % 34.03/34.28 (define @t166 () (tptp.m1_subset_1 @t122 @t162)) % 34.03/34.28 (define @t167 () (or @t158 @t156 @t166)) % 34.03/34.28 (define @t168 () (tptp.k2_xboole_0 @t122 @t120)) % 34.03/34.28 (define @t169 () (= @t152 @t168)) % 34.03/34.28 (define @t170 () (not @t163)) % 34.03/34.28 (define @t171 () (not @t166)) % 34.03/34.28 (define @t172 () (or @t171 @t170 @t169)) % 34.03/34.28 (define @t173 () (forall @t38 (or (not (tptp.r2_hidden @t6 @t152)) (tptp.r2_hidden @t6 @t151)))) % 34.03/34.28 (define @t174 () (= @t153 @t173)) % 34.03/34.28 (define @t175 () (not @t173)) % 34.03/34.28 (define @t176 () (@list true false)) % 34.03/34.28 (define @t177 () (@quantifiers_skolemize @t173 0)) % 34.03/34.28 (define @t178 () (tptp.r2_hidden @t177 @t152)) % 34.03/34.28 (define @t179 () (tptp.r2_hidden @t177 @t151)) % 34.03/34.28 (define @t180 () (not @t178)) % 34.03/34.28 (define @t181 () (or @t180 @t179)) % 34.03/34.28 (define @t182 () (@list @t181)) % 34.03/34.28 (define @t183 () (tptp.k2_xboole_0 @t120 @t122)) % 34.03/34.28 (define @t184 () (forall @t15 (= (tptp.r2_hidden @t2 @t183) (or (tptp.r2_hidden @t2 @t120) (tptp.r2_hidden @t2 @t122))))) % 34.03/34.28 (define @t185 () (= (= @t183 @t183) @t184)) % 34.03/34.28 (define @t186 () (@list false)) % 34.03/34.28 (define @t187 () (@list @t35)) % 34.03/34.28 (define @t188 () (@list @t177)) % 34.03/34.28 (define @t189 () (@var "BOUND_VARIABLE_8040" $$unsorted)) % 34.03/34.28 (define @t190 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 34.03/34.28 (define @t191 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 34.03/34.28 (define @t192 () (@var "BOUND_VARIABLE_8034" $$unsorted)) % 34.03/34.28 (define @t193 () (= (tptp.r2_hidden @t190 (tptp.k8_relset_2 @t192 @t4 @t191 @t189)) (forall @t82 (or (not (tptp.r2_hidden @t78 @t191)) (tptp.r2_hidden @t190 (tptp.k9_relat_1 @t189 @t79)))))) % 34.03/34.28 (define @t194 () (not (tptp.m1_subset_1 @t189 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t192 @t4))))) % 34.03/34.28 (define @t195 () (not (tptp.m1_subset_1 @t190 @t4))) % 34.03/34.28 (define @t196 () (not (tptp.m1_subset_1 @t191 (tptp.k1_zfmisc_1 @t192)))) % 34.03/34.28 (define @t197 () (or @t196 @t195 @t194 @t193)) % 34.03/34.28 (define @t198 () (or @t26 @t197)) % 34.03/34.28 (define @t199 () (forall (@list @t4 @t192 @t191 @t190 @t189) @t198)) % 34.03/34.28 (define @t200 () (@list @t192 @t191 @t190 @t189)) % 34.03/34.28 (define @t201 () (forall @t200 @t198)) % 34.03/34.28 (define @t202 () (forall @t200 @t197)) % 34.03/34.28 (define @t203 () (@var "BOUND_VARIABLE_8011" $$unsorted)) % 34.03/34.28 (define @t204 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 34.03/34.28 (define @t205 () (or @t26 @t202)) % 34.03/34.28 (define @t206 () (not @t81)) % 34.03/34.28 (define @t207 () (= (tptp.r2_hidden @t204 (tptp.k8_relset_2 @t3 @t4 @t6 @t203)) (forall @t82 (or @t206 (tptp.r2_hidden @t204 (tptp.k9_relat_1 @t203 @t79)))))) % 34.03/34.28 (define @t208 () (not (tptp.m1_subset_1 @t203 @t53))) % 34.03/34.28 (define @t209 () (not (tptp.m1_subset_1 @t204 @t4))) % 34.03/34.28 (define @t210 () (not @t92)) % 34.03/34.28 (define @t211 () (or @t210 @t209 @t208 @t207)) % 34.03/34.28 (define @t212 () (@list @t3 @t6 @t204 @t203)) % 34.03/34.28 (define @t213 () (forall @t212 @t211)) % 34.03/34.28 (define @t214 () (or @t209 @t208 @t207)) % 34.03/34.28 (define @t215 () (or @t210 @t214)) % 34.03/34.28 (define @t216 () (forall @t212 @t215)) % 34.03/34.28 (define @t217 () (@list @t204 @t203)) % 34.03/34.28 (define @t218 () (forall @t217 @t215)) % 34.03/34.28 (define @t219 () (forall @t217 @t214)) % 34.03/34.28 (define @t220 () (@var "BOUND_VARIABLE_7987" $$unsorted)) % 34.03/34.28 (define @t221 () (or @t210 @t219)) % 34.03/34.28 (define @t222 () (= (tptp.r2_hidden @t2 (tptp.k8_relset_2 @t3 @t4 @t6 @t220)) (forall @t82 (or @t206 (tptp.r2_hidden @t2 (tptp.k9_relat_1 @t220 @t79)))))) % 34.03/34.28 (define @t223 () (not (tptp.m1_subset_1 @t220 @t53))) % 34.03/34.28 (define @t224 () (not @t89)) % 34.03/34.28 (define @t225 () (or @t224 @t223 @t222)) % 34.03/34.28 (define @t226 () (@list @t2 @t220)) % 34.03/34.28 (define @t227 () (forall @t226 @t225)) % 34.03/34.28 (define @t228 () (or @t223 @t222)) % 34.03/34.28 (define @t229 () (or @t224 @t228)) % 34.03/34.28 (define @t230 () (forall @t226 @t229)) % 34.03/34.28 (define @t231 () (@list @t220)) % 34.03/34.28 (define @t232 () (forall @t231 @t229)) % 34.03/34.28 (define @t233 () (forall @t231 @t228)) % 34.03/34.28 (define @t234 () (or @t224 @t233)) % 34.03/34.28 (define @t235 () (= @t84 (forall @t82 (or @t206 @t80)))) % 34.03/34.28 (define @t236 () (forall @t11 (or (not @t86) @t235))) % 34.03/34.28 (define @t237 () (not @t99)) % 34.03/34.28 (define @t238 () (not @t23)) % 34.03/34.28 (define @t239 () (@list @t177 @t152 @t118)) % 34.03/34.28 (define @t240 () (tptp.m1_subset_1 @t152 @t162)) % 34.03/34.28 (define @t241 () (or @t171 @t170 @t240)) % 34.03/34.28 (define @t242 () (tptp.m1_subset_1 @t177 @t118)) % 34.03/34.28 (define @t243 () (not @t240)) % 34.03/34.28 (define @t244 () (or @t180 @t243 @t242)) % 34.03/34.28 (define @t245 () (not @t102)) % 34.03/34.28 (define @t246 () (tptp.v1_xboole_0 @t118)) % 34.03/34.28 (define @t247 () (not @t246)) % 34.03/34.28 (define @t248 () (or @t180 @t243 @t247)) % 34.03/34.28 (define @t249 () (not (tptp.r2_hidden @t78 @t117))) % 34.03/34.28 (define @t250 () (forall @t82 (or @t249 (tptp.r2_hidden @t177 (tptp.k9_relat_1 @t116 @t79))))) % 34.03/34.28 (define @t251 () (tptp.r2_hidden @t177 @t120)) % 34.03/34.28 (define @t252 () (= @t251 @t250)) % 34.03/34.28 (define @t253 () (not @t242)) % 34.03/34.28 (define @t254 () (or @t246 @t158 @t253 @t154 @t252)) % 34.03/34.28 (define @t255 () (@list false false true false false)) % 34.03/34.28 (define @t256 () (forall @t82 (or @t249 (tptp.r2_hidden @t177 (tptp.k9_relat_1 @t150 @t79))))) % 34.03/34.28 (define @t257 () (@quantifiers_skolemize @t256 0)) % 34.03/34.28 (define @t258 () (tptp.k1_tarski @t257)) % 34.03/34.28 (define @t259 () (tptp.k9_relat_1 @t121 @t258)) % 34.03/34.28 (define @t260 () (tptp.k9_relat_1 @t116 @t258)) % 34.03/34.28 (define @t261 () (tptp.k2_xboole_0 @t260 @t259)) % 34.03/34.28 (define @t262 () (forall @t15 (= (tptp.r2_hidden @t2 @t261) (or (tptp.r2_hidden @t2 @t260) (tptp.r2_hidden @t2 @t259))))) % 34.03/34.28 (define @t263 () (= (= @t261 @t261) @t262)) % 34.03/34.28 (define @t264 () (@list @t147 @t121 @t116)) % 34.03/34.28 (define @t265 () (tptp.m1_subset_1 @t150 @t148)) % 34.03/34.28 (define @t266 () (or @t156 @t154 @t265)) % 34.03/34.28 (define @t267 () (= @t179 @t256)) % 34.03/34.28 (define @t268 () (not @t265)) % 34.03/34.28 (define @t269 () (or @t246 @t158 @t253 @t268 @t267)) % 34.03/34.28 (define @t270 () (not @t256)) % 34.03/34.28 (define @t271 () (tptp.r2_hidden @t177 (tptp.k9_relat_1 @t150 @t258))) % 34.03/34.28 (define @t272 () (tptp.r2_hidden @t257 @t117)) % 34.03/34.28 (define @t273 () (not @t272)) % 34.03/34.28 (define @t274 () (or @t273 @t271)) % 34.03/34.28 (define @t275 () (@list @t274)) % 34.03/34.28 (define @t276 () (= @t150 (tptp.k2_xboole_0 @t121 @t116))) % 34.03/34.28 (define @t277 () (or @t156 @t154 @t276)) % 34.03/34.28 (define @t278 () (tptp.k9_relat_1 (tptp.k2_xboole_0 @t116 @t121) @t258)) % 34.03/34.28 (define @t279 () (@var "BOUND_VARIABLE_7951" $$unsorted)) % 34.03/34.28 (define @t280 () (= (tptp.k9_relat_1 (tptp.k2_xboole_0 @t3 @t279) @t65) (tptp.k2_xboole_0 @t72 (tptp.k9_relat_1 @t279 @t65)))) % 34.03/34.28 (define @t281 () (not (tptp.v1_relat_1 @t279))) % 34.03/34.28 (define @t282 () (not @t51)) % 34.03/34.28 (define @t283 () (or @t281 @t280)) % 34.03/34.28 (define @t284 () (or @t282 @t283)) % 34.03/34.28 (define @t285 () (forall (@list @t4 @t3 @t279) @t284)) % 34.03/34.28 (define @t286 () (@list @t279)) % 34.03/34.28 (define @t287 () (forall @t286 @t284)) % 34.03/34.28 (define @t288 () (forall @t286 @t283)) % 34.03/34.28 (define @t289 () (or @t282 @t288)) % 34.03/34.28 (define @t290 () (forall @t38 (or (not @t28) @t73))) % 34.03/34.28 (define @t291 () (tptp.v1_relat_1 @t116)) % 34.03/34.28 (define @t292 () (or @t154 @t291)) % 34.03/34.28 (define @t293 () (@list false false)) % 34.03/34.28 (define @t294 () (tptp.v1_relat_1 @t121)) % 34.03/34.28 (define @t295 () (or @t156 @t294)) % 34.03/34.28 (define @t296 () (= @t278 @t261)) % 34.03/34.28 (define @t297 () (not @t294)) % 34.03/34.28 (define @t298 () (not @t291)) % 34.03/34.28 (define @t299 () (or @t298 @t297 @t296)) % 34.03/34.28 (define @t300 () (tptp.r2_hidden @t177 @t261)) % 34.03/34.28 (define @t301 () (tptp.r2_hidden @t177 @t259)) % 34.03/34.28 (define @t302 () (tptp.r2_hidden @t177 @t260)) % 34.03/34.28 (define @t303 () (or @t302 @t301)) % 34.03/34.28 (define @t304 () (= @t300 @t303)) % 34.03/34.28 (define @t305 () (not @t303)) % 34.03/34.28 (define @t306 () (@list @t303)) % 34.03/34.28 (define @t307 () (or @t273 @t302)) % 34.03/34.28 (define @t308 () (not @t307)) % 34.03/34.28 (define @t309 () (@list false true)) % 34.03/34.28 (define @t310 () (@list @t257)) % 34.03/34.28 (define @t311 () (not @t251)) % 34.03/34.28 (define @t312 () (forall @t82 (or @t249 (tptp.r2_hidden @t177 (tptp.k9_relat_1 @t121 @t79))))) % 34.03/34.28 (define @t313 () (tptp.r2_hidden @t177 @t122)) % 34.03/34.28 (define @t314 () (= @t313 @t312)) % 34.03/34.28 (define @t315 () (or @t246 @t158 @t253 @t156 @t314)) % 34.03/34.28 (define @t316 () (not @t301)) % 34.03/34.28 (define @t317 () (or @t273 @t301)) % 34.03/34.28 (define @t318 () (not @t317)) % 34.03/34.28 (define @t319 () (not @t313)) % 34.03/34.28 (define @t320 () (or @t251 @t313)) % 34.03/34.28 (define @t321 () (not @t320)) % 34.03/34.28 (define @t322 () (tptp.r2_hidden @t177 @t183)) % 34.03/34.28 (define @t323 () (= @t322 @t320)) % 34.03/34.28 (define @t324 () (not @t322)) % 34.03/34.28 (define @t325 () (= @t168 @t183)) % 34.03/34.28 (define @t326 () (not @t325)) % 34.03/34.28 (define @t327 () (not @t169)) % 34.03/34.28 (define @t328 () (and @t324 @t325 @t169 @t178)) % 34.03/34.28 (assume @p1 @t22) % 34.03/34.28 (assume @p2 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t3 @t4))))) % 34.03/34.28 (assume @p3 (forall @t27 (=> @t26 @t25))) % 34.03/34.28 (assume @p4 @t30) % 34.03/34.28 (assume @p5 (forall @t24 (= @t31 (tptp.k2_xboole_0 @t3 @t4)))) % 34.03/34.28 (assume @p6 (forall @t20 (=> @t34 (= @t32 (tptp.k4_subset_1 @t4 @t6 @t3))))) % 34.03/34.28 (assume @p7 @t35) % 34.03/34.28 (assume @p8 @t42) % 34.03/34.28 (assume @p9 (forall @t20 (=> @t18 (forall @t15 (=> @t13 (= @t43 (tptp.k8_setfam_1 @t3 (tptp.k4_relset_2 @t17 @t3 (tptp.k6_relset_2 @t3 @t4 @t2) (tptp.k3_pua2mss1 @t6))))))))) % 34.03/34.28 (assume @p10 true) % 34.03/34.28 (assume @p11 (forall @t27 (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 @t4) @t4))) % 34.03/34.28 (assume @p12 (forall @t47 (=> @t46 (tptp.m1_subset_1 @t45 (tptp.k1_zfmisc_1 @t44))))) % 34.03/34.28 (assume @p13 @t49) % 34.03/34.28 (assume @p14 (forall @t24 (=> @t51 (and (tptp.v1_relat_1 @t50) (tptp.v1_funct_1 @t50))))) % 34.03/34.28 (assume @p15 (forall @t20 (=> @t54 (and (tptp.v1_funct_1 @t52) (tptp.v1_funct_2 @t52 @t44 @t17) (tptp.m2_relset_1 @t52 @t44 @t17))))) % 34.03/34.28 (assume @p16 @t57) % 34.03/34.28 (assume @p17 (forall @t24 (=> @t58 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t4 @t3) @t17)))) % 34.03/34.28 (assume @p18 (forall @t24 (=> @t59 @t58))) % 34.03/34.28 (assume @p19 (forall @t20 (=> @t60 @t29))) % 34.03/34.28 (assume @p20 (forall @t27 (exists @t61 @t59))) % 34.03/34.28 (assume @p21 (forall @t24 (exists @t38 @t62))) % 34.03/34.28 (assume @p22 (forall @t27 (exists @t61 (tptp.m1_subset_1 @t3 @t4)))) % 34.03/34.28 (assume @p23 (forall @t24 (exists @t38 @t60))) % 34.03/34.28 (assume @p24 (and @t64 @t63 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 34.03/34.28 (assume @p25 (forall @t27 (not (tptp.v1_xboole_0 @t17)))) % 34.03/34.28 (assume @p26 (forall @t24 (tptp.v1_relat_1 @t5))) % 34.03/34.28 (assume @p27 (forall @t24 (=> (and @t25 @t51) (tptp.v1_relat_1 @t31)))) % 34.03/34.28 (assume @p28 (forall @t27 (not (tptp.v1_xboole_0 @t65)))) % 34.03/34.28 (assume @p29 (and @t64 @t63)) % 34.03/34.28 (assume @p30 (forall @t24 (=> (and @t68 @t67) (not (tptp.v1_xboole_0 @t5))))) % 34.03/34.28 (assume @p31 (forall @t24 (= (tptp.k2_xboole_0 @t4 @t4) @t4))) % 34.03/34.28 (assume @p32 (forall @t20 (=> @t34 (= (tptp.k4_subset_1 @t4 @t3 @t3) @t3)))) % 34.03/34.28 (assume @p33 (exists @t27 (and @t26 @t25))) % 34.03/34.28 (assume @p34 (forall @t27 (=> @t68 (exists @t61 (and @t33 @t67))))) % 34.03/34.28 (assume @p35 (forall @t24 (exists @t38 (and @t62 @t28 (tptp.v1_funct_1 @t6))))) % 34.03/34.28 (assume @p36 (exists @t27 (and @t68 @t25))) % 34.03/34.28 (assume @p37 (forall @t27 (exists @t61 (and @t33 @t66)))) % 34.03/34.28 (assume @p38 (exists @t27 (and @t25 (tptp.v3_relat_1 @t4)))) % 34.03/34.28 (assume @p39 (forall @t47 (=> @t46 (= @t45 (tptp.k9_relat_1 @t6 @t2))))) % 34.03/34.28 (assume @p40 @t71) % 34.03/34.28 (assume @p41 (forall @t20 (=> @t54 (= @t52 (tptp.k5_relset_2 @t3 @t6))))) % 34.03/34.28 (assume @p42 (forall @t47 (=> @t56 (= @t7 @t43)))) % 34.03/34.28 (assume @p43 (forall @t20 (= @t60 @t62))) % 34.03/34.28 (assume @p44 (forall @t24 (tptp.r1_tarski @t4 @t4))) % 34.03/34.28 (assume @p45 @t76) % 34.03/34.28 (assume @p46 (forall @t27 (= (tptp.k2_xboole_0 @t4 tptp.k1_xboole_0) @t4))) % 34.03/34.28 (assume @p47 (forall @t24 (=> @t23 @t77))) % 34.03/34.28 (assume @p48 @t97) % 34.03/34.28 (assume @p49 (forall @t24 (=> @t77 (or @t66 @t23)))) % 34.03/34.28 (assume @p50 (forall @t24 (= (tptp.m1_subset_1 @t4 @t44) @t40))) % 34.03/34.28 (assume @p51 @t101) % 34.03/34.28 (assume @p52 @t103) % 34.03/34.28 (assume @p53 (forall @t27 (=> @t26 (= @t4 tptp.k1_xboole_0)))) % 34.03/34.28 (assume @p54 (forall @t24 (not (and @t23 @t66)))) % 34.03/34.28 (assume @p55 (forall @t24 (not (and @t26 (not (= @t4 @t3)) @t66)))) % 34.03/34.28 (step @p56 :rule aci_norm :args ((= (or @t106 @t70) (or @t105 @t104 @t70)))) % 34.03/34.28 (step @p57 :rule refl :args (@t70)) % 34.03/34.28 (step @p58 :rule bool-and-de-morgan :args (@t33 @t18 true)) % 34.03/34.28 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t107 @t70))) % 34.03/34.28 (step @p60 :rule trans :premises (@p59 @p56)) % 34.03/34.28 (step @p61 :rule bool-impl-elim :args (@t34 @t70)) % 34.03/34.28 (step @p62 :rule trans :premises (@p61 @p60)) % 34.03/34.28 (step @p63 :rule cong :premises (@p62) :args (@t71)) % 34.03/34.28 (step @p64 :rule eq_resolve :premises (@p40 @p63)) % 34.03/34.28 (step @p65 :rule instantiate :premises (@p64) :args (@t123)) % 34.03/34.28 (step @p66 :rule aci_norm :args ((= (or (or @t104 @t124) @t55) (or @t104 @t124 @t55)))) % 34.03/34.28 (step @p67 :rule refl :args (@t55)) % 34.03/34.28 (step @p68 :rule bool-and-de-morgan :args (@t18 @t13 true)) % 34.03/34.28 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t56) @t55))) % 34.03/34.28 (step @p70 :rule trans :premises (@p69 @p66)) % 34.03/34.28 (step @p71 :rule bool-impl-elim :args (@t56 @t55)) % 34.03/34.28 (step @p72 :rule trans :premises (@p71 @p70)) % 34.03/34.28 (step @p73 :rule cong :premises (@p72) :args (@t57)) % 34.03/34.28 (step @p74 :rule eq_resolve :premises (@p16 @p73)) % 34.03/34.28 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t119 @t118 @t117 @t116))) % 34.03/34.28 (step @p76 :rule aci_norm :args ((= @t126 @t113))) % 34.03/34.28 (step @p77 :rule cong :premises (@p76) :args (@t127)) % 34.03/34.28 (step @p78 :rule quant-merge-prenex :args ((= (forall @t20 @t129) @t127))) % 34.03/34.28 (step @p79 :rule alpha_equiv :args (@t130 (@list @t109 @t108) (@list @t2 @t131))) % 34.03/34.28 (step @p80 :rule refl :args (@t104)) % 34.03/34.28 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t132)) % 34.03/34.28 (step @p82 :rule quant-miniscope-or :args ((= @t129 @t132))) % 34.03/34.28 (step @p83 :rule trans :premises (@p82 @p81)) % 34.03/34.28 (step @p84 :rule symm :premises (@p83)) % 34.03/34.28 (step @p85 :rule cong :premises (@p84) :args ((forall @t20 (or @t104 @t137)))) % 34.03/34.28 (step @p86 :rule trans :premises (@p85 @p78)) % 34.03/34.28 (step @p87 :rule trans :premises (@p86 @p77)) % 34.03/34.28 (step @p88 :rule bool-impl-elim :args (@t18 @t137)) % 34.03/34.28 (step @p89 :rule cong :premises (@p88) :args ((forall @t20 (=> @t18 @t137)))) % 34.03/34.28 (step @p90 :rule trans :premises (@p89 @p87)) % 34.03/34.28 (step @p91 :rule aci_norm :args ((= @t139 @t135))) % 34.03/34.28 (step @p92 :rule cong :premises (@p91) :args (@t140)) % 34.03/34.28 (step @p93 :rule quant-merge-prenex :args ((= (forall @t15 @t142) @t140))) % 34.03/34.28 (step @p94 :rule alpha_equiv :args (@t143 (@list @t131) @t144)) % 34.03/34.28 (step @p95 :rule refl :args (@t124)) % 34.03/34.28 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t145)) % 34.03/34.28 (step @p97 :rule quant-miniscope-or :args ((= @t142 @t145))) % 34.03/34.28 (step @p98 :rule trans :premises (@p97 @p96)) % 34.03/34.28 (step @p99 :rule symm :premises (@p98)) % 34.03/34.28 (step @p100 :rule cong :premises (@p99) :args ((forall @t15 (or @t124 @t146)))) % 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34.03/34.28 (step @p116 :rule cong :premises (@p115) :args (@t22)) % 34.03/34.28 (step @p117 :rule eq_resolve :premises (@p1 @p116)) % 34.03/34.28 (step @p118 :rule skolemize :premises (@p117)) % 34.03/34.28 (step @p119 :rule bool-double-not-elim :args (@t149)) % 34.03/34.28 (step @p120 :rule refl :args (@t159)) % 34.03/34.28 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t159 (not @t154)))) % 34.03/34.28 (step @p122 :rule cnf_or_neg :args (@t159 2)) % 34.03/34.28 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 34.03/34.28 (step @p124 :rule reordering :premises (@p123) :args ((or @t149 @t159))) % 34.03/34.28 (step @p125 :rule chain_m_resolution :premises (@p124 @p118) :args (@t149 @t160 @t161)) % 34.03/34.28 (step @p126 :rule bool-double-not-elim :args (@t157)) % 34.03/34.28 (step @p127 :rule nary_cong :premises (@p120 @p126) :args ((or @t159 (not @t158)))) % 34.03/34.28 (step @p128 :rule cnf_or_neg :args (@t159 0)) % 34.03/34.28 (step @p129 :rule eq_resolve 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(step @p220 :rule aci_norm :args ((= @t229 @t225))) % 34.03/34.28 (step @p221 :rule cong :premises (@p220) :args (@t230)) % 34.03/34.28 (step @p222 :rule quant-merge-prenex :args ((= (forall @t15 @t232) @t230))) % 34.03/34.28 (step @p223 :rule alpha_equiv :args (@t233 (@list @t220) @t144)) % 34.03/34.28 (step @p224 :rule refl :args (@t224)) % 34.03/34.28 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t234)) % 34.03/34.28 (step @p226 :rule quant-miniscope-or :args ((= @t232 @t234))) % 34.03/34.28 (step @p227 :rule trans :premises (@p226 @p225)) % 34.03/34.28 (step @p228 :rule symm :premises (@p227)) % 34.03/34.28 (step @p229 :rule cong :premises (@p228) :args ((forall @t15 (or @t224 @t236)))) % 34.03/34.28 (step @p230 :rule trans :premises (@p229 @p222)) % 34.03/34.28 (step @p231 :rule trans :premises (@p230 @p221)) % 34.03/34.28 (step @p232 :rule bool-impl-elim :args (@t89 @t236)) % 34.03/34.28 (step @p233 :rule cong :premises (@p232) :args ((forall @t15 (=> @t89 @t236)))) 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34.03/34.28 (step @p277 :rule instantiate :premises (@p276) :args (@t123)) % 34.03/34.28 (step @p278 :rule cnf_or_pos :args (@t241)) % 34.03/34.28 (step @p279 :rule reordering :premises (@p278) :args ((or @t171 @t170 @t240 (not @t241)))) % 34.03/34.28 (step @p280 :rule chain_m_resolution :premises (@p279 @p144 @p134 @p277) :args (@t240 @t165 (@list @t166 @t163 @t241))) % 34.03/34.28 (step @p281 :rule cnf_or_pos :args (@t244)) % 34.03/34.28 (step @p282 :rule reordering :premises (@p281) :args ((or @t243 @t180 @t242 (not @t244)))) % 34.03/34.28 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p167 @p268) :args (@t242 @t165 (@list @t240 @t178 @t244))) % 34.03/34.28 (step @p284 :rule aci_norm :args ((= (or @t238 (or @t237 @t245)) (or @t238 @t237 @t245)))) % 34.03/34.28 (step @p285 :rule bool-and-de-morgan :args (@t99 @t102 true)) % 34.03/34.28 (step @p286 :rule refl :args (@t238)) % 34.03/34.28 (step @p287 :rule nary_cong :premises (@p286 @p285) :args ((or @t238 (not (and @t99 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@p258) :args (@t252 @t255 (@list @t157 @t149 @t246 @t242 @t254))) % 34.03/34.28 (step @p300 :rule bool-eq-true :args (@t262)) % 34.03/34.28 (step @p301 :rule eq-symm :args (true @t262)) % 34.03/34.28 (step @p302 :rule trans :premises (@p301 @p300)) % 34.03/34.28 (step @p303 :rule refl :args (@t262)) % 34.03/34.28 (step @p304 :rule eq-refl :args (@t261)) % 34.03/34.28 (step @p305 :rule cong :premises (@p304 @p303) :args (@t263)) % 34.03/34.28 (step @p306 :rule trans :premises (@p305 @p302)) % 34.03/34.28 (step @p307 :rule cong :premises (@p176 @p306) :args ((=> @t35 @t263))) % 34.03/34.28 (assume-push @p474 @t35) % 34.03/34.28 (step @p309 :rule instantiate :premises (@p7) :args ((@list @t260 @t259 @t261))) % 34.03/34.28 (step-pop @p475 :rule scope :premises (@p309)) % 34.03/34.28 (step @p310 :rule process_scope :premises (@p475) :args (@t263)) % 34.03/34.28 (step @p312 :rule eq_resolve :premises (@p310 @p307)) % 34.03/34.28 (step @p313 :rule implies_elim :premises (@p312)) % 34.03/34.28 (step @p314 :rule chain_m_resolution :premises (@p313 @p7) :args (@t262 @t186 @t187)) % 34.03/34.28 (step @p315 :rule instantiate :premises (@p314) :args (@t188)) % 34.03/34.28 (step @p316 :rule instantiate :premises (@p257) :args ((@list @t118 @t119 @t117 @t177 @t150))) % 34.03/34.28 (step @p317 :rule instantiate :premises (@p276) :args (@t264)) % 34.03/34.28 (step @p318 :rule cnf_or_pos :args (@t266)) % 34.03/34.28 (step @p319 :rule reordering :premises (@p318) :args ((or @t156 @t154 @t265 (not @t266)))) % 34.03/34.28 (step @p320 :rule chain_m_resolution :premises (@p319 @p141 @p125 @p317) :args (@t265 @t165 (@list @t155 @t149 @t266))) % 34.03/34.28 (step @p321 :rule cnf_or_pos :args (@t269)) % 34.03/34.28 (step @p322 :rule reordering :premises (@p321) :args ((or @t158 @t268 @t246 @t253 @t267 (not @t269)))) % 34.03/34.28 (step @p323 :rule chain_m_resolution :premises (@p322 @p131 @p320 @p296 @p283 @p316) :args (@t267 @t255 (@list @t157 @t265 @t246 @t242 @t269))) % 34.03/34.28 (step @p324 :rule cnf_or_neg :args (@t181 1)) % 34.03/34.28 (step @p325 :rule chain_m_resolution :premises (@p324 @p160) :args ((not @t179) @t160 @t182)) % 34.03/34.28 (step @p326 :rule cnf_equiv_pos2 :args (@t267)) % 34.03/34.28 (step @p327 :rule reordering :premises (@p326) :args ((or @t179 @t270 (not @t267)))) % 34.03/34.28 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p323) :args (@t270 @t176 (@list @t179 @t267))) % 34.03/34.28 (step @p329 :rule skolemize :premises (@p328)) % 34.03/34.28 (step @p330 :rule cnf_or_neg :args (@t274 1)) % 34.03/34.28 (step @p331 :rule chain_m_resolution :premises (@p330 @p329) :args ((not @t271) @t160 @t275)) % 34.03/34.28 (step @p332 :rule false_intro :premises (@p331)) % 34.03/34.28 (step @p333 :rule refl :args (@t258)) % 34.03/34.28 (step @p334 :rule instantiate :premises (@p64) :args (@t264)) % 34.03/34.28 (step @p335 :rule cnf_or_pos :args (@t277)) % 34.03/34.28 (step @p336 :rule reordering :premises (@p335) :args ((or @t156 @t154 @t276 (not @t277)))) % 34.03/34.28 (step @p337 :rule chain_m_resolution :premises (@p336 @p141 @p125 @p334) :args (@t276 @t165 (@list @t155 @t149 @t277))) % 34.03/34.28 (step @p338 :rule symm :premises (@p337)) % 34.03/34.28 (step @p339 :rule instantiate :premises (@p5) :args ((@list @t121 @t116))) % 34.03/34.28 (step @p340 :rule symm :premises (@p339)) % 34.03/34.28 (step @p341 :rule trans :premises (@p340 @p338)) % 34.03/34.28 (step @p342 :rule cong :premises (@p341 @p333) :args (@t278)) % 34.03/34.28 (step @p343 :rule aci_norm :args ((= @t284 (or @t282 @t281 @t280)))) % 34.03/34.28 (step @p344 :rule cong :premises (@p343) :args (@t285)) % 34.03/34.28 (step @p345 :rule quant-merge-prenex :args ((= (forall @t24 @t287) @t285))) % 34.03/34.28 (step @p346 :rule alpha_equiv :args (@t288 (@list @t279) (@list @t6))) % 34.03/34.28 (step @p347 :rule refl :args (@t282)) % 34.03/34.28 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t289)) % 34.03/34.28 (step @p349 :rule quant-miniscope-or :args ((= @t287 @t289))) % 34.03/34.28 (step @p350 :rule trans :premises (@p349 @p348)) % 34.03/34.28 (step @p351 :rule symm :premises (@p350)) % 34.03/34.28 (step @p352 :rule cong :premises (@p351) :args ((forall @t24 (or @t282 @t290)))) % 34.03/34.28 (step @p353 :rule trans :premises (@p352 @p345)) % 34.03/34.28 (step @p354 :rule trans :premises (@p353 @p344)) % 34.03/34.28 (step @p355 :rule bool-impl-elim :args (@t51 @t290)) % 34.03/34.28 (step @p356 :rule cong :premises (@p355) :args ((forall @t24 (=> @t51 @t290)))) % 34.03/34.28 (step @p357 :rule trans :premises (@p356 @p354)) % 34.03/34.28 (step @p358 :rule bool-impl-elim :args (@t28 @t73)) % 34.03/34.28 (step @p359 :rule cong :premises (@p358) :args (@t74)) % 34.03/34.28 (step @p360 :rule refl :args (@t51)) % 34.03/34.28 (step @p361 :rule cong :premises (@p360 @p359) :args (@t75)) % 34.03/34.28 (step @p362 :rule cong :premises (@p361) :args (@t76)) % 34.03/34.28 (step @p363 :rule trans :premises (@p362 @p357)) % 34.03/34.28 (step @p364 :rule eq_resolve :premises (@p45 @p363)) % 34.03/34.28 (step @p365 :rule instantiate :premises (@p364) :args ((@list @t257 @t116 @t121))) % 34.03/34.28 (step @p366 :rule bool-impl-elim :args (@t29 @t28)) % 34.03/34.28 (step @p367 :rule cong :premises (@p366) :args (@t30)) % 34.03/34.28 (step @p368 :rule eq_resolve :premises (@p4 @p367)) % 34.03/34.28 (step @p369 :rule instantiate :premises (@p368) :args ((@list @t119 @t118 @t116))) % 34.03/34.28 (step @p370 :rule cnf_or_pos :args (@t292)) % 34.03/34.28 (step @p371 :rule reordering :premises (@p370) :args ((or @t154 @t291 (not @t292)))) % 34.03/34.28 (step @p372 :rule chain_m_resolution :premises (@p371 @p125 @p369) :args (@t291 @t293 (@list @t149 @t292))) % 34.03/34.28 (step @p373 :rule instantiate :premises (@p368) :args ((@list @t119 @t118 @t121))) % 34.03/34.28 (step @p374 :rule cnf_or_pos :args (@t295)) % 34.03/34.28 (step @p375 :rule reordering :premises (@p374) :args ((or @t156 @t294 (not @t295)))) % 34.03/34.28 (step @p376 :rule chain_m_resolution :premises (@p375 @p141 @p373) :args (@t294 @t293 (@list @t155 @t295))) % 34.03/34.28 (step @p377 :rule cnf_or_pos :args (@t299)) % 34.03/34.28 (step @p378 :rule reordering :premises (@p377) :args ((or @t297 @t298 @t296 (not @t299)))) % 34.03/34.28 (step @p379 :rule chain_m_resolution :premises (@p378 @p376 @p372 @p365) :args (@t296 @t165 (@list @t294 @t291 @t299))) % 34.03/34.28 (step @p380 :rule symm :premises (@p379)) % 34.03/34.28 (step @p381 :rule trans :premises (@p380 @p342)) % 34.03/34.28 (step @p382 :rule refl :args (@t177)) % 34.03/34.28 (step @p383 :rule cong :premises (@p382 @p381) :args (@t300)) % 34.03/34.28 (step @p384 :rule trans :premises (@p383 @p332)) % 34.03/34.28 (step @p385 :rule false_elim :premises (@p384)) % 34.03/34.28 (step @p386 :rule cnf_equiv_pos2 :args (@t304)) % 34.03/34.28 (step @p387 :rule reordering :premises (@p386) :args ((or @t300 @t305 (not @t304)))) % 34.03/34.28 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p315) :args (@t305 @t176 (@list @t300 @t304))) % 34.03/34.28 (step @p389 :rule cnf_or_neg :args (@t303 0)) % 34.03/34.28 (step @p390 :rule chain_m_resolution :premises (@p389 @p388) :args ((not @t302) @t160 @t306)) % 34.03/34.28 (step @p391 :rule bool-double-not-elim :args (@t272)) % 34.03/34.28 (step @p392 :rule refl :args (@t274)) % 34.03/34.28 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t274 (not @t273)))) % 34.03/34.28 (step @p394 :rule cnf_or_neg :args (@t274 0)) % 34.03/34.28 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 34.03/34.28 (step @p396 :rule reordering :premises (@p395) :args ((or @t272 @t274))) % 34.03/34.28 (step @p397 :rule chain_m_resolution :premises (@p396 @p329) :args (@t272 @t160 @t275)) % 34.03/34.28 (step @p398 :rule cnf_or_pos :args (@t307)) % 34.03/34.28 (step @p399 :rule reordering :premises (@p398) :args ((or @t273 @t302 @t308))) % 34.03/34.28 (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p390) :args (@t308 @t309 (@list @t272 @t302))) % 34.03/34.28 (assume-push @p476 @t250) % 34.03/34.28 (step @p402 :rule instantiate :premises (@p476) :args (@t310)) % 34.03/34.28 (step-pop @p477 :rule scope :premises (@p402)) % 34.03/34.28 (step @p403 :rule process_scope :premises (@p477) :args (@t307)) % 34.03/34.28 (step @p405 :rule implies_elim :premises (@p403)) % 34.03/34.28 (step @p406 :rule chain_m_resolution :premises (@p405 @p400) :args ((not @t250) @t160 (@list @t307))) % 34.03/34.28 (step @p407 :rule cnf_equiv_pos1 :args (@t252)) % 34.03/34.28 (step @p408 :rule reordering :premises (@p407) :args ((or @t250 @t311 (not @t252)))) % 34.03/34.28 (step @p409 :rule chain_m_resolution :premises (@p408 @p406 @p299) :args (@t311 @t176 (@list @t250 @t252))) % 34.03/34.28 (step @p410 :rule instantiate :premises (@p257) :args ((@list @t118 @t119 @t117 @t177 @t121))) % 34.03/34.28 (step @p411 :rule cnf_or_pos :args (@t315)) % 34.03/34.28 (step @p412 :rule reordering :premises (@p411) :args ((or @t158 @t156 @t246 @t253 @t314 (not @t315)))) % 34.03/34.28 (step @p413 :rule chain_m_resolution :premises (@p412 @p131 @p141 @p296 @p283 @p410) :args (@t314 @t255 (@list @t157 @t155 @t246 @t242 @t315))) % 34.03/34.28 (step @p414 :rule cnf_or_neg :args (@t303 1)) % 34.03/34.28 (step @p415 :rule reordering :premises (@p414) :args ((or @t316 @t303))) % 34.03/34.28 (step @p416 :rule chain_m_resolution :premises (@p415 @p388) :args (@t316 @t160 @t306)) % 34.03/34.28 (step @p417 :rule cnf_or_pos :args (@t317)) % 34.03/34.28 (step @p418 :rule reordering :premises (@p417) :args ((or @t273 @t301 @t318))) % 34.03/34.28 (step @p419 :rule chain_m_resolution :premises (@p418 @p397 @p416) :args (@t318 @t309 (@list @t272 @t301))) % 34.03/34.28 (assume-push @p478 @t312) % 34.03/34.28 (step @p421 :rule instantiate :premises (@p478) :args (@t310)) % 34.03/34.28 (step-pop @p479 :rule scope :premises (@p421)) % 34.03/34.28 (step @p422 :rule process_scope :premises (@p479) :args (@t317)) % 34.03/34.28 (step @p424 :rule implies_elim :premises (@p422)) % 34.03/34.28 (step @p425 :rule chain_m_resolution :premises (@p424 @p419) :args ((not @t312) @t160 (@list @t317))) % 34.03/34.28 (step @p426 :rule cnf_equiv_pos1 :args (@t314)) % 34.03/34.28 (step @p427 :rule reordering :premises (@p426) :args ((or @t312 @t319 (not @t314)))) % 34.03/34.28 (step @p428 :rule chain_m_resolution :premises (@p427 @p425 @p413) :args (@t319 @t176 (@list @t312 @t314))) % 34.03/34.28 (step @p429 :rule cnf_or_pos :args (@t320)) % 34.03/34.28 (step @p430 :rule reordering :premises (@p429) :args ((or @t313 @t251 @t321))) % 34.03/34.28 (step @p431 :rule chain_m_resolution :premises (@p430 @p428 @p409) :args (@t321 (@list true true) (@list @t313 @t251))) % 34.03/34.28 (step @p432 :rule cnf_equiv_pos1 :args (@t323)) % 34.03/34.28 (step @p433 :rule reordering :premises (@p432) :args ((or @t320 @t324 (not @t323)))) % 34.03/34.28 (step @p434 :rule chain_m_resolution :premises (@p433 @p431 @p185) :args (@t324 @t176 (@list @t320 @t323))) % 34.03/34.28 (step @p435 :rule bool-double-not-elim :args (@t322)) % 34.03/34.28 (step @p436 :rule refl :args (@t326)) % 34.03/34.28 (step @p437 :rule refl :args (@t180)) % 34.03/34.28 (step @p438 :rule refl :args (@t327)) % 34.03/34.28 (step @p439 :rule nary_cong :premises (@p438 @p437 @p436 @p435) :args ((or @t327 @t180 @t326 (not @t324)))) % 34.03/34.28 (assume-push @p480 @t324) % 34.03/34.28 (assume-push @p481 @t325) % 34.03/34.28 (assume-push @p482 @t169) % 34.03/34.28 (assume-push @p483 @t178) % 34.03/34.28 (step @p444 :rule evaluate :args ((= true false))) % 34.03/34.28 (step @p445 :rule false_intro :premises (@p480)) % 34.03/34.28 (step @p446 :rule trans :premises (@p147 @p168)) % 34.03/34.28 (step @p447 :rule cong :premises (@p382 @p446) :args (@t178)) % 34.03/34.28 (step @p448 :rule true_intro :premises (@p167)) % 34.03/34.28 (step @p449 :rule symm :premises (@p448)) % 34.03/34.28 (step @p450 :rule trans :premises (@p449 @p447 @p445)) % 34.03/34.28 (step @p451 false :rule eq_resolve :premises (@p450 @p444)) % 34.03/34.28 (step-pop @p484 :rule scope :premises (@p451)) % 34.03/34.28 (step-pop @p485 :rule scope :premises (@p484)) % 34.03/34.28 (step-pop @p486 :rule scope :premises (@p485)) % 34.03/34.28 (step-pop @p487 :rule scope :premises (@p486)) % 34.03/34.28 (step @p452 :rule process_scope :premises (@p487) :args (false)) % 34.03/34.28 (assume-push @p488 @t169) % 34.03/34.28 (assume-push @p489 @t178) % 34.03/34.28 (assume-push @p490 @t325) % 34.03/34.28 (assume-push @p491 @t324) % 34.03/34.28 (step @p461 :rule and_intro :premises (@p491 @p168 @p147 @p167)) % 34.03/34.28 (step-pop @p492 :rule scope :premises (@p461)) % 34.03/34.28 (step-pop @p493 :rule scope :premises (@p492)) % 34.03/34.28 (step-pop @p494 :rule scope :premises (@p493)) % 34.03/34.28 (step-pop @p495 :rule scope :premises (@p494)) % 34.03/34.28 (step @p462 :rule process_scope :premises (@p495) :args (@t328)) % 34.03/34.28 (step @p467 :rule implies_elim :premises (@p462)) % 34.03/34.28 (step @p468 :rule resolution :premises (@p467 @p452) :args (true @t328)) % 34.03/34.28 (step @p469 :rule not_and :premises (@p468)) % 34.03/34.28 (step @p470 :rule eq_resolve :premises (@p469 @p439)) % 34.03/34.28 (step @p471 false :rule chain_m_resolution :premises (@p470 @p434 @p168 @p167 @p147) :args (false (@list true false false false) (@list @t322 @t325 @t178 @t169))) % 34.03/34.28 ) % 34.03/34.28 % SZS output end Proof % 34.03/34.28 % cvc5 exiting %------------------------------------------------------------------------------