%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU437+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 1.03s 1.26s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU437+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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:27:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.03/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.26 % SZS status Theorem % 1.03/1.26 % SZS output start Proof % 1.03/1.26 ( % 1.03/1.26 (declare-sort $$unsorted 0) % 1.03/1.26 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.03/1.26 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 1.03/1.26 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.26 (define @t1 () (@var "E" $$unsorted)) % 1.03/1.26 (define @t2 () (@var "C" $$unsorted)) % 1.03/1.26 (define @t3 () (@var "B" $$unsorted)) % 1.03/1.26 (define @t4 () (@var "A" $$unsorted)) % 1.03/1.26 (define @t5 () (@var "D" $$unsorted)) % 1.03/1.26 (define @t6 () (tptp.k8_relset_2 @t4 @t3 @t2 @t5)) % 1.03/1.26 (define @t7 () (tptp.r1_tarski @t6 (tptp.k8_relset_2 @t4 @t3 @t2 @t1))) % 1.03/1.26 (define @t8 () (tptp.r1_tarski @t5 @t1)) % 1.03/1.26 (define @t9 () (=> @t8 @t7)) % 1.03/1.26 (define @t10 () (tptp.k2_zfmisc_1 @t4 @t3)) % 1.03/1.26 (define @t11 () (tptp.k1_zfmisc_1 @t10)) % 1.03/1.26 (define @t12 () (tptp.m1_subset_1 @t1 @t11)) % 1.03/1.26 (define @t13 () (@list @t1)) % 1.03/1.26 (define @t14 () (forall @t13 (=> @t12 @t9))) % 1.03/1.26 (define @t15 () (tptp.m1_subset_1 @t5 @t11)) % 1.03/1.26 (define @t16 () (=> @t15 @t14)) % 1.03/1.26 (define @t17 () (@list @t5)) % 1.03/1.26 (define @t18 () (forall @t17 @t16)) % 1.03/1.26 (define @t19 () (tptp.k1_zfmisc_1 @t4)) % 1.03/1.26 (define @t20 () (tptp.m1_subset_1 @t2 @t19)) % 1.03/1.26 (define @t21 () (=> @t20 @t18)) % 1.03/1.26 (define @t22 () (@list @t4 @t3 @t2)) % 1.03/1.26 (define @t23 () (forall @t22 @t21)) % 1.03/1.26 (define @t24 () (not @t23)) % 1.03/1.26 (define @t25 () (tptp.r2_hidden @t4 @t3)) % 1.03/1.26 (define @t26 () (@list @t4 @t3)) % 1.03/1.26 (define @t27 () (tptp.v1_relat_1 @t4)) % 1.03/1.26 (define @t28 () (tptp.v1_xboole_0 @t4)) % 1.03/1.26 (define @t29 () (@list @t4)) % 1.03/1.26 (define @t30 () (tptp.v1_relat_1 @t2)) % 1.03/1.26 (define @t31 () (tptp.m1_subset_1 @t2 @t11)) % 1.03/1.26 (define @t32 () (forall @t22 (=> @t31 @t30))) % 1.03/1.26 (define @t33 () (tptp.k2_tarski @t4 @t3)) % 1.03/1.26 (define @t34 () (tptp.r2_hidden @t2 @t3)) % 1.03/1.26 (define @t35 () (tptp.r2_hidden @t2 @t4)) % 1.03/1.26 (define @t36 () (@list @t2)) % 1.03/1.26 (define @t37 () (forall @t36 (=> @t35 @t34))) % 1.03/1.26 (define @t38 () (tptp.r1_tarski @t4 @t3)) % 1.03/1.26 (define @t39 () (= @t38 @t37)) % 1.03/1.26 (define @t40 () (forall @t26 @t39)) % 1.03/1.26 (define @t41 () (tptp.k7_relset_2 @t4 @t3 @t2 @t5)) % 1.03/1.26 (define @t42 () (tptp.k1_tarski @t4)) % 1.03/1.26 (define @t43 () (tptp.k1_zfmisc_1 @t3)) % 1.03/1.26 (define @t44 () (tptp.k4_relset_2 @t4 @t3 @t2 @t5)) % 1.03/1.26 (define @t45 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t4 @t43)))) % 1.03/1.26 (define @t46 () (@list @t4 @t3 @t2 @t5)) % 1.03/1.26 (define @t47 () (tptp.k5_relset_2 @t4 @t3)) % 1.03/1.26 (define @t48 () (tptp.k6_relset_2 @t4 @t3 @t2)) % 1.03/1.26 (define @t49 () (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t3 @t4))) % 1.03/1.26 (define @t50 () (tptp.m1_subset_1 @t2 @t49)) % 1.03/1.26 (define @t51 () (tptp.m1_subset_1 @t6 @t43)) % 1.03/1.26 (define @t52 () (and @t20 @t15)) % 1.03/1.26 (define @t53 () (forall @t46 (=> @t52 @t51))) % 1.03/1.26 (define @t54 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t19))) % 1.03/1.26 (define @t55 () (tptp.m1_eqrel_1 @t3 @t4)) % 1.03/1.26 (define @t56 () (tptp.m2_relset_1 @t2 @t4 @t3)) % 1.03/1.26 (define @t57 () (@list @t3)) % 1.03/1.26 (define @t58 () (tptp.m1_relset_1 @t2 @t4 @t3)) % 1.03/1.26 (define @t59 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 1.03/1.26 (define @t60 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.03/1.26 (define @t61 () (tptp.v1_xboole_0 @t3)) % 1.03/1.26 (define @t62 () (not @t61)) % 1.03/1.26 (define @t63 () (not @t28)) % 1.03/1.26 (define @t64 () (tptp.m1_subset_1 @t3 @t19)) % 1.03/1.26 (define @t65 () (tptp.m1_subset_1 @t4 @t3)) % 1.03/1.26 (define @t66 () (@var "F" $$unsorted)) % 1.03/1.26 (define @t67 () (tptp.k1_tarski @t66)) % 1.03/1.26 (define @t68 () (tptp.r2_hidden @t5 (tptp.k9_relat_1 @t1 @t67))) % 1.03/1.26 (define @t69 () (tptp.r2_hidden @t66 @t2)) % 1.03/1.26 (define @t70 () (@list @t66)) % 1.03/1.26 (define @t71 () (forall @t70 (=> @t69 @t68))) % 1.03/1.26 (define @t72 () (tptp.r2_hidden @t5 (tptp.k8_relset_2 @t3 @t4 @t2 @t1))) % 1.03/1.26 (define @t73 () (= @t72 @t71)) % 1.03/1.26 (define @t74 () (tptp.m1_subset_1 @t1 @t49)) % 1.03/1.26 (define @t75 () (=> @t74 @t73)) % 1.03/1.26 (define @t76 () (forall @t13 @t75)) % 1.03/1.26 (define @t77 () (tptp.m1_subset_1 @t5 @t4)) % 1.03/1.26 (define @t78 () (=> @t77 @t76)) % 1.03/1.26 (define @t79 () (forall @t17 @t78)) % 1.03/1.26 (define @t80 () (tptp.m1_subset_1 @t2 @t43)) % 1.03/1.26 (define @t81 () (=> @t80 @t79)) % 1.03/1.26 (define @t82 () (@list @t3 @t2)) % 1.03/1.26 (define @t83 () (forall @t82 @t81)) % 1.03/1.26 (define @t84 () (=> @t63 @t83)) % 1.03/1.26 (define @t85 () (forall @t29 @t84)) % 1.03/1.26 (define @t86 () (tptp.m1_subset_1 @t4 @t2)) % 1.03/1.26 (define @t87 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2))) % 1.03/1.26 (define @t88 () (and @t25 @t87)) % 1.03/1.26 (define @t89 () (forall @t22 (=> @t88 @t86))) % 1.03/1.26 (define @t90 () (tptp.v1_xboole_0 @t2)) % 1.03/1.26 (define @t91 () (forall @t22 (not (and @t25 @t87 @t90)))) % 1.03/1.26 (define @t92 () (= (tptp.r2_hidden @t4 (tptp.k9_relat_1 @t2 (tptp.k1_tarski @t3))) (tptp.r2_hidden (tptp.k4_tarski @t3 @t4) @t2))) % 1.03/1.26 (define @t93 () (forall @t22 (=> @t30 @t92))) % 1.03/1.26 (define @t94 () (@var "BOUND_VARIABLE_7714" $$unsorted)) % 1.03/1.26 (define @t95 () (@var "BOUND_VARIABLE_7712" $$unsorted)) % 1.03/1.26 (define @t96 () (tptp.r1_tarski (tptp.k8_relset_2 @t4 @t3 @t2 @t95) (tptp.k8_relset_2 @t4 @t3 @t2 @t94))) % 1.03/1.26 (define @t97 () (not (tptp.r1_tarski @t95 @t94))) % 1.03/1.26 (define @t98 () (not (tptp.m1_subset_1 @t94 @t11))) % 1.03/1.26 (define @t99 () (not (tptp.m1_subset_1 @t95 @t11))) % 1.03/1.26 (define @t100 () (not @t20)) % 1.03/1.26 (define @t101 () (or @t100 @t99 @t98 @t97 @t96)) % 1.03/1.26 (define @t102 () (@list @t4 @t3 @t2 @t95 @t94)) % 1.03/1.26 (define @t103 () (forall @t102 @t101)) % 1.03/1.26 (define @t104 () (@quantifiers_skolemize @t103 3)) % 1.03/1.26 (define @t105 () (@quantifiers_skolemize @t103 1)) % 1.03/1.26 (define @t106 () (@quantifiers_skolemize @t103 0)) % 1.03/1.26 (define @t107 () (or @t99 @t98 @t97 @t96)) % 1.03/1.26 (define @t108 () (or @t100 @t107)) % 1.03/1.26 (define @t109 () (forall @t102 @t108)) % 1.03/1.26 (define @t110 () (@list @t95 @t94)) % 1.03/1.26 (define @t111 () (forall @t110 @t108)) % 1.03/1.26 (define @t112 () (forall @t110 @t107)) % 1.03/1.26 (define @t113 () (@var "BOUND_VARIABLE_7693" $$unsorted)) % 1.03/1.26 (define @t114 () (or @t100 @t112)) % 1.03/1.26 (define @t115 () (tptp.r1_tarski @t6 (tptp.k8_relset_2 @t4 @t3 @t2 @t113))) % 1.03/1.26 (define @t116 () (not (tptp.r1_tarski @t5 @t113))) % 1.03/1.26 (define @t117 () (not (tptp.m1_subset_1 @t113 @t11))) % 1.03/1.26 (define @t118 () (not @t15)) % 1.03/1.26 (define @t119 () (or @t118 @t117 @t116 @t115)) % 1.03/1.26 (define @t120 () (@list @t5 @t113)) % 1.03/1.26 (define @t121 () (forall @t120 @t119)) % 1.03/1.26 (define @t122 () (or @t117 @t116 @t115)) % 1.03/1.26 (define @t123 () (or @t118 @t122)) % 1.03/1.26 (define @t124 () (forall @t120 @t123)) % 1.03/1.26 (define @t125 () (@list @t113)) % 1.03/1.26 (define @t126 () (forall @t125 @t123)) % 1.03/1.26 (define @t127 () (forall @t125 @t122)) % 1.03/1.26 (define @t128 () (@list @t1)) % 1.03/1.26 (define @t129 () (or @t118 @t127)) % 1.03/1.26 (define @t130 () (not @t8)) % 1.03/1.26 (define @t131 () (not @t12)) % 1.03/1.26 (define @t132 () (or @t131 @t130 @t7)) % 1.03/1.26 (define @t133 () (forall @t13 @t132)) % 1.03/1.26 (define @t134 () (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t106 @t105))) % 1.03/1.26 (define @t135 () (tptp.m1_subset_1 @t104 @t134)) % 1.03/1.26 (define @t136 () (@quantifiers_skolemize @t103 4)) % 1.03/1.26 (define @t137 () (@quantifiers_skolemize @t103 2)) % 1.03/1.26 (define @t138 () (tptp.k8_relset_2 @t106 @t105 @t137 @t136)) % 1.03/1.26 (define @t139 () (tptp.k8_relset_2 @t106 @t105 @t137 @t104)) % 1.03/1.26 (define @t140 () (tptp.r1_tarski @t139 @t138)) % 1.03/1.26 (define @t141 () (tptp.r1_tarski @t104 @t136)) % 1.03/1.26 (define @t142 () (not @t141)) % 1.03/1.26 (define @t143 () (tptp.m1_subset_1 @t136 @t134)) % 1.03/1.26 (define @t144 () (not @t143)) % 1.03/1.26 (define @t145 () (not @t135)) % 1.03/1.26 (define @t146 () (tptp.m1_subset_1 @t137 (tptp.k1_zfmisc_1 @t106))) % 1.03/1.26 (define @t147 () (not @t146)) % 1.03/1.26 (define @t148 () (or @t147 @t145 @t144 @t142 @t140)) % 1.03/1.26 (define @t149 () (@list true)) % 1.03/1.26 (define @t150 () (@list @t148)) % 1.03/1.26 (define @t151 () (tptp.v1_relat_1 @t104)) % 1.03/1.26 (define @t152 () (or @t145 @t151)) % 1.03/1.26 (define @t153 () (@list false false)) % 1.03/1.26 (define @t154 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 1.03/1.26 (define @t155 () (@var "BOUND_VARIABLE_7956" $$unsorted)) % 1.03/1.26 (define @t156 () (@var "BOUND_VARIABLE_7954" $$unsorted)) % 1.03/1.26 (define @t157 () (@var "BOUND_VARIABLE_7952" $$unsorted)) % 1.03/1.26 (define @t158 () (= (tptp.r2_hidden @t155 (tptp.k8_relset_2 @t157 @t4 @t156 @t154)) (forall @t70 (or (not (tptp.r2_hidden @t66 @t156)) (tptp.r2_hidden @t155 (tptp.k9_relat_1 @t154 @t67)))))) % 1.03/1.26 (define @t159 () (not (tptp.m1_subset_1 @t154 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t157 @t4))))) % 1.03/1.26 (define @t160 () (not (tptp.m1_subset_1 @t155 @t4))) % 1.03/1.26 (define @t161 () (not (tptp.m1_subset_1 @t156 (tptp.k1_zfmisc_1 @t157)))) % 1.03/1.26 (define @t162 () (or @t161 @t160 @t159 @t158)) % 1.03/1.26 (define @t163 () (or @t28 @t162)) % 1.03/1.26 (define @t164 () (forall (@list @t4 @t157 @t156 @t155 @t154) @t163)) % 1.03/1.26 (define @t165 () (@list @t157 @t156 @t155 @t154)) % 1.03/1.26 (define @t166 () (forall @t165 @t163)) % 1.03/1.26 (define @t167 () (forall @t165 @t162)) % 1.03/1.26 (define @t168 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 1.03/1.26 (define @t169 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 1.03/1.26 (define @t170 () (or @t28 @t167)) % 1.03/1.26 (define @t171 () (not @t69)) % 1.03/1.26 (define @t172 () (= (tptp.r2_hidden @t169 (tptp.k8_relset_2 @t3 @t4 @t2 @t168)) (forall @t70 (or @t171 (tptp.r2_hidden @t169 (tptp.k9_relat_1 @t168 @t67)))))) % 1.03/1.26 (define @t173 () (not (tptp.m1_subset_1 @t168 @t49))) % 1.03/1.26 (define @t174 () (not (tptp.m1_subset_1 @t169 @t4))) % 1.03/1.26 (define @t175 () (not @t80)) % 1.03/1.26 (define @t176 () (or @t175 @t174 @t173 @t172)) % 1.03/1.26 (define @t177 () (@list @t3 @t2 @t169 @t168)) % 1.03/1.26 (define @t178 () (forall @t177 @t176)) % 1.03/1.26 (define @t179 () (or @t174 @t173 @t172)) % 1.03/1.26 (define @t180 () (or @t175 @t179)) % 1.03/1.26 (define @t181 () (forall @t177 @t180)) % 1.03/1.26 (define @t182 () (@list @t169 @t168)) % 1.03/1.26 (define @t183 () (forall @t182 @t180)) % 1.03/1.26 (define @t184 () (forall @t182 @t179)) % 1.03/1.26 (define @t185 () (@var "BOUND_VARIABLE_7905" $$unsorted)) % 1.03/1.26 (define @t186 () (or @t175 @t184)) % 1.03/1.26 (define @t187 () (= (tptp.r2_hidden @t5 (tptp.k8_relset_2 @t3 @t4 @t2 @t185)) (forall @t70 (or @t171 (tptp.r2_hidden @t5 (tptp.k9_relat_1 @t185 @t67)))))) % 1.03/1.26 (define @t188 () (not (tptp.m1_subset_1 @t185 @t49))) % 1.03/1.26 (define @t189 () (not @t77)) % 1.03/1.26 (define @t190 () (or @t189 @t188 @t187)) % 1.03/1.26 (define @t191 () (@list @t5 @t185)) % 1.03/1.26 (define @t192 () (forall @t191 @t190)) % 1.03/1.26 (define @t193 () (or @t188 @t187)) % 1.03/1.26 (define @t194 () (or @t189 @t193)) % 1.03/1.26 (define @t195 () (forall @t191 @t194)) % 1.03/1.26 (define @t196 () (@list @t185)) % 1.03/1.26 (define @t197 () (forall @t196 @t194)) % 1.03/1.26 (define @t198 () (forall @t196 @t193)) % 1.03/1.26 (define @t199 () (or @t189 @t198)) % 1.03/1.26 (define @t200 () (= @t72 (forall @t70 (or @t171 @t68)))) % 1.03/1.26 (define @t201 () (forall @t13 (or (not @t74) @t200))) % 1.03/1.26 (define @t202 () (forall @t36 (or (not (tptp.r2_hidden @t2 @t139)) (tptp.r2_hidden @t2 @t138)))) % 1.03/1.26 (define @t203 () (@quantifiers_skolemize @t202 0)) % 1.03/1.26 (define @t204 () (not @t87)) % 1.03/1.26 (define @t205 () (not @t25)) % 1.03/1.26 (define @t206 () (@list @t203 @t139 @t105)) % 1.03/1.26 (define @t207 () (= @t140 @t202)) % 1.03/1.26 (define @t208 () (not @t202)) % 1.03/1.26 (define @t209 () (@list true false)) % 1.03/1.26 (define @t210 () (tptp.r2_hidden @t203 @t139)) % 1.03/1.26 (define @t211 () (tptp.r2_hidden @t203 @t138)) % 1.03/1.26 (define @t212 () (not @t210)) % 1.03/1.26 (define @t213 () (or @t212 @t211)) % 1.03/1.26 (define @t214 () (@list @t213)) % 1.03/1.26 (define @t215 () (tptp.m1_subset_1 @t139 (tptp.k1_zfmisc_1 @t105))) % 1.03/1.26 (define @t216 () (or @t147 @t145 @t215)) % 1.03/1.26 (define @t217 () (@list false false false)) % 1.03/1.26 (define @t218 () (tptp.m1_subset_1 @t203 @t105)) % 1.03/1.26 (define @t219 () (not @t215)) % 1.03/1.26 (define @t220 () (or @t212 @t219 @t218)) % 1.03/1.26 (define @t221 () (not @t90)) % 1.03/1.26 (define @t222 () (tptp.v1_xboole_0 @t105)) % 1.03/1.26 (define @t223 () (not @t222)) % 1.03/1.26 (define @t224 () (or @t212 @t219 @t223)) % 1.03/1.26 (define @t225 () (not (tptp.r2_hidden @t66 @t137))) % 1.03/1.26 (define @t226 () (forall @t70 (or @t225 (tptp.r2_hidden @t203 (tptp.k9_relat_1 @t104 @t67))))) % 1.03/1.26 (define @t227 () (= @t210 @t226)) % 1.03/1.26 (define @t228 () (not @t218)) % 1.03/1.26 (define @t229 () (or @t222 @t147 @t228 @t145 @t227)) % 1.03/1.26 (define @t230 () (@list false false true false false)) % 1.03/1.26 (define @t231 () (forall @t70 (or @t225 (tptp.r2_hidden @t203 (tptp.k9_relat_1 @t136 @t67))))) % 1.03/1.26 (define @t232 () (@quantifiers_skolemize @t231 0)) % 1.03/1.26 (define @t233 () (= @t211 @t231)) % 1.03/1.26 (define @t234 () (or @t222 @t147 @t228 @t144 @t233)) % 1.03/1.26 (define @t235 () (not @t231)) % 1.03/1.26 (define @t236 () (tptp.r2_hidden @t232 @t137)) % 1.03/1.26 (define @t237 () (tptp.k1_tarski @t232)) % 1.03/1.26 (define @t238 () (tptp.r2_hidden @t203 (tptp.k9_relat_1 @t136 @t237))) % 1.03/1.26 (define @t239 () (not @t236)) % 1.03/1.26 (define @t240 () (or @t239 @t238)) % 1.03/1.26 (define @t241 () (@list @t240)) % 1.03/1.26 (define @t242 () (tptp.r2_hidden @t203 (tptp.k9_relat_1 @t104 @t237))) % 1.03/1.26 (define @t243 () (or @t239 @t242)) % 1.03/1.26 (define @t244 () (forall @t36 (or (not (tptp.r2_hidden @t2 @t104)) (tptp.r2_hidden @t2 @t136)))) % 1.03/1.26 (define @t245 () (= @t141 @t244)) % 1.03/1.26 (define @t246 () (tptp.k4_tarski @t232 @t203)) % 1.03/1.26 (define @t247 () (tptp.v1_relat_1 @t136)) % 1.03/1.26 (define @t248 () (or @t144 @t247)) % 1.03/1.26 (define @t249 () (tptp.r2_hidden @t246 @t136)) % 1.03/1.26 (define @t250 () (= @t238 @t249)) % 1.03/1.26 (define @t251 () (not @t247)) % 1.03/1.26 (define @t252 () (or @t251 @t250)) % 1.03/1.26 (define @t253 () (not @t249)) % 1.03/1.26 (define @t254 () (tptp.r2_hidden @t246 @t104)) % 1.03/1.26 (define @t255 () (not @t254)) % 1.03/1.26 (define @t256 () (or @t255 @t249)) % 1.03/1.26 (define @t257 () (= @t254 @t242)) % 1.03/1.26 (define @t258 () (not @t257)) % 1.03/1.26 (define @t259 () (not @t151)) % 1.03/1.26 (define @t260 () (or @t259 (= @t242 @t254))) % 1.03/1.26 (define @t261 () (forall @t22 (or (not @t30) @t92))) % 1.03/1.26 (define @t262 () (or @t259 @t257)) % 1.03/1.26 (assume @p1 @t24) % 1.03/1.26 (assume @p2 (forall @t26 (=> @t25 (not (tptp.r2_hidden @t3 @t4))))) % 1.03/1.26 (assume @p3 (forall @t29 (=> @t28 @t27))) % 1.03/1.26 (assume @p4 @t32) % 1.03/1.26 (assume @p5 (forall @t26 (= @t33 (tptp.k2_tarski @t3 @t4)))) % 1.03/1.26 (assume @p6 @t40) % 1.03/1.26 (assume @p7 (forall @t22 (=> @t20 (forall @t17 (=> @t15 (= @t41 (tptp.k8_setfam_1 @t3 (tptp.k4_relset_2 @t19 @t3 (tptp.k6_relset_2 @t3 @t4 @t5) (tptp.k3_pua2mss1 @t2))))))))) % 1.03/1.26 (assume @p8 (forall @t26 (= (tptp.k4_tarski @t4 @t3) (tptp.k2_tarski @t33 @t42)))) % 1.03/1.26 (assume @p9 true) % 1.03/1.26 (assume @p10 (forall @t29 (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 @t4) @t4))) % 1.03/1.26 (assume @p11 (forall @t46 (=> @t45 (tptp.m1_subset_1 @t44 (tptp.k1_zfmisc_1 @t43))))) % 1.03/1.26 (assume @p12 (forall @t26 (=> (tptp.v1_relat_1 @t3) (and (tptp.v1_relat_1 @t47) (tptp.v1_funct_1 @t47))))) % 1.03/1.26 (assume @p13 (forall @t22 (=> @t50 (and (tptp.v1_funct_1 @t48) (tptp.v1_funct_2 @t48 @t43 @t19) (tptp.m2_relset_1 @t48 @t43 @t19))))) % 1.03/1.26 (assume @p14 @t53) % 1.03/1.26 (assume @p15 (forall @t26 (=> @t54 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t4 @t3) @t19)))) % 1.03/1.26 (assume @p16 (forall @t26 (=> @t55 @t54))) % 1.03/1.26 (assume @p17 (forall @t22 (=> @t56 @t31))) % 1.03/1.26 (assume @p18 (forall @t29 (exists @t57 @t55))) % 1.03/1.26 (assume @p19 (forall @t26 (exists @t36 @t58))) % 1.03/1.26 (assume @p20 (forall @t29 (exists @t57 (tptp.m1_subset_1 @t3 @t4)))) % 1.03/1.26 (assume @p21 (forall @t26 (exists @t36 @t56))) % 1.03/1.26 (assume @p22 (and @t60 @t59 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 1.03/1.26 (assume @p23 (forall @t29 (not (tptp.v1_xboole_0 @t19)))) % 1.03/1.26 (assume @p24 (forall @t26 (tptp.v1_relat_1 @t10))) % 1.03/1.26 (assume @p25 (forall @t29 (not (tptp.v1_xboole_0 @t42)))) % 1.03/1.26 (assume @p26 (forall @t26 (not (tptp.v1_xboole_0 @t33)))) % 1.03/1.26 (assume @p27 (and @t60 @t59)) % 1.03/1.26 (assume @p28 (forall @t26 (=> (and @t63 @t62) (not (tptp.v1_xboole_0 @t10))))) % 1.03/1.26 (assume @p29 (exists @t29 (and @t28 @t27))) % 1.03/1.26 (assume @p30 (forall @t29 (=> @t63 (exists @t57 (and @t64 @t62))))) % 1.03/1.26 (assume @p31 (forall @t26 (exists @t36 (and @t58 @t30 (tptp.v1_funct_1 @t2))))) % 1.03/1.26 (assume @p32 (exists @t29 (and @t63 @t27))) % 1.03/1.26 (assume @p33 (forall @t29 (exists @t57 (and @t64 @t61)))) % 1.03/1.26 (assume @p34 (exists @t29 (and @t27 (tptp.v3_relat_1 @t4)))) % 1.03/1.26 (assume @p35 (forall @t46 (=> @t45 (= @t44 (tptp.k9_relat_1 @t2 @t5))))) % 1.03/1.26 (assume @p36 (forall @t22 (=> @t50 (= @t48 (tptp.k5_relset_2 @t3 @t2))))) % 1.03/1.26 (assume @p37 (forall @t46 (=> @t52 (= @t6 @t41)))) % 1.03/1.26 (assume @p38 (forall @t22 (= @t56 @t58))) % 1.03/1.26 (assume @p39 (forall @t26 (tptp.r1_tarski @t4 @t4))) % 1.03/1.26 (assume @p40 (forall @t26 (=> @t25 @t65))) % 1.03/1.26 (assume @p41 @t85) % 1.03/1.26 (assume @p42 (forall @t26 (=> @t65 (or @t61 @t25)))) % 1.03/1.26 (assume @p43 (forall @t26 (= (tptp.m1_subset_1 @t4 @t43) @t38))) % 1.03/1.26 (assume @p44 @t89) % 1.03/1.26 (assume @p45 @t91) % 1.03/1.26 (assume @p46 (forall @t29 (=> @t28 (= @t4 tptp.k1_xboole_0)))) % 1.03/1.26 (assume @p47 (forall @t26 (not (and @t25 @t61)))) % 1.03/1.26 (assume @p48 (forall @t26 (not (and @t28 (not (= @t4 @t3)) @t61)))) % 1.03/1.26 (assume @p49 @t93) % 1.03/1.26 (step @p50 :rule bool-impl-elim :args (@t31 @t30)) % 1.03/1.26 (step @p51 :rule cong :premises (@p50) :args (@t32)) % 1.03/1.26 (step @p52 :rule eq_resolve :premises (@p4 @p51)) % 1.03/1.26 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t106 @t105 @t104))) % 1.03/1.26 (step @p54 :rule aci_norm :args ((= @t108 @t101))) % 1.03/1.26 (step @p55 :rule cong :premises (@p54) :args (@t109)) % 1.03/1.26 (step @p56 :rule quant-merge-prenex :args ((= (forall @t22 @t111) @t109))) % 1.03/1.26 (step @p57 :rule alpha_equiv :args (@t112 (@list @t95 @t94) (@list @t5 @t113))) % 1.03/1.26 (step @p58 :rule refl :args (@t100)) % 1.03/1.26 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t114)) % 1.03/1.26 (step @p60 :rule quant-miniscope-or :args ((= @t111 @t114))) % 1.03/1.26 (step @p61 :rule trans :premises (@p60 @p59)) % 1.03/1.26 (step @p62 :rule symm :premises (@p61)) % 1.03/1.26 (step @p63 :rule cong :premises (@p62) :args ((forall @t22 (or @t100 @t121)))) % 1.03/1.26 (step @p64 :rule trans :premises (@p63 @p56)) % 1.03/1.26 (step @p65 :rule trans :premises (@p64 @p55)) % 1.03/1.26 (step @p66 :rule bool-impl-elim :args (@t20 @t121)) % 1.03/1.26 (step @p67 :rule cong :premises (@p66) :args ((forall @t22 (=> @t20 @t121)))) % 1.03/1.26 (step @p68 :rule trans :premises (@p67 @p65)) % 1.03/1.26 (step @p69 :rule aci_norm :args ((= @t123 @t119))) % 1.03/1.26 (step @p70 :rule cong :premises (@p69) :args (@t124)) % 1.03/1.26 (step @p71 :rule quant-merge-prenex :args ((= (forall @t17 @t126) @t124))) % 1.03/1.26 (step @p72 :rule alpha_equiv :args (@t127 (@list @t113) @t128)) % 1.03/1.26 (step @p73 :rule refl :args (@t118)) % 1.03/1.26 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t129)) % 1.03/1.26 (step @p75 :rule quant-miniscope-or :args ((= @t126 @t129))) % 1.03/1.26 (step @p76 :rule trans :premises (@p75 @p74)) % 1.03/1.26 (step @p77 :rule symm :premises (@p76)) % 1.03/1.26 (step @p78 :rule cong :premises (@p77) :args ((forall @t17 (or @t118 @t133)))) % 1.03/1.26 (step @p79 :rule trans :premises (@p78 @p71)) % 1.03/1.26 (step @p80 :rule trans :premises (@p79 @p70)) % 1.03/1.26 (step @p81 :rule bool-impl-elim :args (@t15 @t133)) % 1.03/1.26 (step @p82 :rule cong :premises (@p81) :args ((forall @t17 (=> @t15 @t133)))) % 1.03/1.26 (step @p83 :rule trans :premises (@p82 @p80)) % 1.03/1.26 (step @p84 :rule aci_norm :args ((= (or @t131 (or @t130 @t7)) @t132))) % 1.03/1.26 (step @p85 :rule bool-impl-elim :args (@t8 @t7)) % 1.03/1.26 (step @p86 :rule refl :args (@t131)) % 1.03/1.26 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t131 @t9))) % 1.03/1.26 (step @p88 :rule trans :premises (@p87 @p84)) % 1.03/1.26 (step @p89 :rule bool-impl-elim :args (@t12 @t9)) % 1.03/1.26 (step @p90 :rule trans :premises (@p89 @p88)) % 1.03/1.26 (step @p91 :rule cong :premises (@p90) :args (@t14)) % 1.03/1.26 (step @p92 :rule refl :args (@t15)) % 1.03/1.26 (step @p93 :rule cong :premises (@p92 @p91) :args (@t16)) % 1.03/1.26 (step @p94 :rule cong :premises (@p93) :args (@t18)) % 1.03/1.26 (step @p95 :rule trans :premises (@p94 @p83)) % 1.03/1.26 (step @p96 :rule refl :args (@t20)) % 1.03/1.26 (step @p97 :rule cong :premises (@p96 @p95) :args (@t21)) % 1.03/1.26 (step @p98 :rule cong :premises (@p97) :args (@t23)) % 1.03/1.26 (step @p99 :rule trans :premises (@p98 @p68)) % 1.03/1.26 (step @p100 :rule cong :premises (@p99) :args (@t24)) % 1.03/1.26 (step @p101 :rule eq_resolve :premises (@p1 @p100)) % 1.03/1.26 (step @p102 :rule skolemize :premises (@p101)) % 1.03/1.26 (step @p103 :rule bool-double-not-elim :args (@t135)) % 1.03/1.26 (step @p104 :rule refl :args (@t148)) % 1.03/1.26 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t148 (not @t145)))) % 1.03/1.26 (step @p106 :rule cnf_or_neg :args (@t148 1)) % 1.03/1.26 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 1.03/1.26 (step @p108 :rule reordering :premises (@p107) :args ((or @t135 @t148))) % 1.03/1.26 (step @p109 :rule chain_m_resolution :premises (@p108 @p102) :args (@t135 @t149 @t150)) % 1.03/1.26 (step @p110 :rule cnf_or_pos :args (@t152)) % 1.03/1.26 (step @p111 :rule reordering :premises (@p110) :args ((or @t145 @t151 (not @t152)))) % 1.03/1.26 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p53) :args (@t151 @t153 (@list @t135 @t152))) % 1.03/1.26 (step @p113 :rule aci_norm :args ((= @t163 (or @t28 @t161 @t160 @t159 @t158)))) % 1.03/1.26 (step @p114 :rule cong :premises (@p113) :args (@t164)) % 1.03/1.26 (step @p115 :rule quant-merge-prenex :args ((= (forall @t29 @t166) @t164))) % 1.03/1.26 (step @p116 :rule alpha_equiv :args (@t167 (@list @t157 @t156 @t155 @t154) (@list @t3 @t2 @t169 @t168))) % 1.03/1.26 (step @p117 :rule refl :args (@t28)) % 1.03/1.26 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t170)) % 1.03/1.26 (step @p119 :rule quant-miniscope-or :args ((= @t166 @t170))) % 1.03/1.26 (step @p120 :rule trans :premises (@p119 @p118)) % 1.03/1.26 (step @p121 :rule symm :premises (@p120)) % 1.03/1.26 (step @p122 :rule cong :premises (@p121) :args ((forall @t29 (or @t28 @t178)))) % 1.03/1.26 (step @p123 :rule trans :premises (@p122 @p115)) % 1.03/1.26 (step @p124 :rule trans :premises (@p123 @p114)) % 1.03/1.26 (step @p125 :rule refl :args (@t178)) % 1.03/1.26 (step @p126 :rule bool-double-not-elim :args (@t28)) % 1.03/1.26 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t63) @t178))) % 1.03/1.26 (step @p128 :rule bool-impl-elim :args (@t63 @t178)) % 1.03/1.26 (step @p129 :rule trans :premises (@p128 @p127)) % 1.03/1.26 (step @p130 :rule cong :premises (@p129) :args ((forall @t29 (=> @t63 @t178)))) % 1.03/1.26 (step @p131 :rule trans :premises (@p130 @p124)) % 1.03/1.26 (step @p132 :rule aci_norm :args ((= @t180 @t176))) % 1.03/1.26 (step @p133 :rule cong :premises (@p132) :args (@t181)) % 1.03/1.26 (step @p134 :rule quant-merge-prenex :args ((= (forall @t82 @t183) @t181))) % 1.03/1.26 (step @p135 :rule alpha_equiv :args (@t184 (@list @t169 @t168) (@list @t5 @t185))) % 1.03/1.26 (step @p136 :rule refl :args (@t175)) % 1.03/1.26 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t186)) % 1.03/1.26 (step @p138 :rule quant-miniscope-or :args ((= @t183 @t186))) % 1.03/1.26 (step @p139 :rule trans :premises (@p138 @p137)) % 1.03/1.26 (step @p140 :rule symm :premises (@p139)) % 1.03/1.26 (step @p141 :rule cong :premises (@p140) :args ((forall @t82 (or @t175 @t192)))) % 1.03/1.26 (step @p142 :rule trans :premises (@p141 @p134)) % 1.03/1.26 (step @p143 :rule trans :premises (@p142 @p133)) % 1.03/1.26 (step @p144 :rule bool-impl-elim :args (@t80 @t192)) % 1.03/1.26 (step @p145 :rule cong :premises (@p144) :args ((forall @t82 (=> @t80 @t192)))) % 1.03/1.26 (step @p146 :rule trans :premises (@p145 @p143)) % 1.03/1.26 (step @p147 :rule aci_norm :args ((= @t194 @t190))) % 1.03/1.26 (step @p148 :rule cong :premises (@p147) :args (@t195)) % 1.03/1.26 (step @p149 :rule quant-merge-prenex :args ((= (forall @t17 @t197) @t195))) % 1.03/1.26 (step @p150 :rule alpha_equiv :args (@t198 (@list @t185) @t128)) % 1.03/1.26 (step @p151 :rule refl :args (@t189)) % 1.03/1.26 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t199)) % 1.03/1.26 (step @p153 :rule quant-miniscope-or :args ((= @t197 @t199))) % 1.03/1.26 (step @p154 :rule trans :premises (@p153 @p152)) % 1.03/1.26 (step @p155 :rule symm :premises (@p154)) % 1.03/1.26 (step @p156 :rule cong :premises (@p155) :args ((forall @t17 (or @t189 @t201)))) % 1.03/1.26 (step @p157 :rule trans :premises (@p156 @p149)) % 1.03/1.26 (step @p158 :rule trans :premises (@p157 @p148)) % 1.03/1.26 (step @p159 :rule bool-impl-elim :args (@t77 @t201)) % 1.03/1.26 (step @p160 :rule cong :premises (@p159) :args ((forall @t17 (=> @t77 @t201)))) % 1.03/1.26 (step @p161 :rule trans :premises (@p160 @p158)) % 1.03/1.26 (step @p162 :rule bool-impl-elim :args (@t74 @t200)) % 1.03/1.26 (step @p163 :rule cong :premises (@p162) :args ((forall @t13 (=> @t74 @t200)))) % 1.03/1.26 (step @p164 :rule bool-impl-elim :args (@t69 @t68)) % 1.03/1.26 (step @p165 :rule cong :premises (@p164) :args (@t71)) % 1.03/1.26 (step @p166 :rule refl :args (@t72)) % 1.03/1.26 (step @p167 :rule cong :premises (@p166 @p165) :args (@t73)) % 1.03/1.26 (step @p168 :rule refl :args (@t74)) % 1.03/1.26 (step @p169 :rule cong :premises (@p168 @p167) :args (@t75)) % 1.03/1.26 (step @p170 :rule cong :premises (@p169) :args (@t76)) % 1.03/1.26 (step @p171 :rule trans :premises (@p170 @p163)) % 1.03/1.26 (step @p172 :rule refl :args (@t77)) % 1.03/1.26 (step @p173 :rule cong :premises (@p172 @p171) :args (@t78)) % 1.03/1.26 (step @p174 :rule cong :premises (@p173) :args (@t79)) % 1.03/1.26 (step @p175 :rule trans :premises (@p174 @p161)) % 1.03/1.26 (step @p176 :rule refl :args (@t80)) % 1.03/1.26 (step @p177 :rule cong :premises (@p176 @p175) :args (@t81)) % 1.03/1.26 (step @p178 :rule cong :premises (@p177) :args (@t83)) % 1.03/1.26 (step @p179 :rule trans :premises (@p178 @p146)) % 1.03/1.26 (step @p180 :rule refl :args (@t63)) % 1.03/1.26 (step @p181 :rule cong :premises (@p180 @p179) :args (@t84)) % 1.03/1.26 (step @p182 :rule cong :premises (@p181) :args (@t85)) % 1.03/1.26 (step @p183 :rule trans :premises (@p182 @p131)) % 1.03/1.26 (step @p184 :rule eq_resolve :premises (@p41 @p183)) % 1.03/1.26 (step @p185 :rule instantiate :premises (@p184) :args ((@list @t105 @t106 @t137 @t203 @t104))) % 1.03/1.26 (step @p186 :rule aci_norm :args ((= (or (or @t205 @t204) @t86) (or @t205 @t204 @t86)))) % 1.03/1.26 (step @p187 :rule refl :args (@t86)) % 1.03/1.26 (step @p188 :rule bool-and-de-morgan :args (@t25 @t87 true)) % 1.03/1.26 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or (not @t88) @t86))) % 1.03/1.26 (step @p190 :rule trans :premises (@p189 @p186)) % 1.03/1.26 (step @p191 :rule bool-impl-elim :args (@t88 @t86)) % 1.03/1.26 (step @p192 :rule trans :premises (@p191 @p190)) % 1.03/1.26 (step @p193 :rule cong :premises (@p192) :args (@t89)) % 1.03/1.26 (step @p194 :rule eq_resolve :premises (@p44 @p193)) % 1.03/1.26 (step @p195 :rule instantiate :premises (@p194) :args (@t206)) % 1.03/1.26 (step @p196 :rule bool-impl-elim :args (@t35 @t34)) % 1.03/1.26 (step @p197 :rule cong :premises (@p196) :args (@t37)) % 1.03/1.26 (step @p198 :rule refl :args (@t38)) % 1.03/1.26 (step @p199 :rule cong :premises (@p198 @p197) :args (@t39)) % 1.03/1.26 (step @p200 :rule cong :premises (@p199) :args (@t40)) % 1.03/1.26 (step @p201 :rule eq_resolve :premises (@p6 @p200)) % 1.03/1.26 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t139 @t138))) % 1.03/1.26 (step @p203 :rule cnf_or_neg :args (@t148 4)) % 1.03/1.26 (step @p204 :rule chain_m_resolution :premises (@p203 @p102) :args ((not @t140) @t149 @t150)) % 1.03/1.26 (step @p205 :rule cnf_equiv_pos2 :args (@t207)) % 1.03/1.26 (step @p206 :rule reordering :premises (@p205) :args ((or @t140 @t208 (not @t207)))) % 1.03/1.26 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p202) :args (@t208 @t209 (@list @t140 @t207))) % 1.03/1.26 (step @p208 :rule skolemize :premises (@p207)) % 1.03/1.26 (step @p209 :rule bool-double-not-elim :args (@t210)) % 1.03/1.26 (step @p210 :rule refl :args (@t213)) % 1.03/1.26 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t213 (not @t212)))) % 1.03/1.26 (step @p212 :rule cnf_or_neg :args (@t213 0)) % 1.03/1.26 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 1.03/1.26 (step @p214 :rule reordering :premises (@p213) :args ((or @t210 @t213))) % 1.03/1.26 (step @p215 :rule chain_m_resolution :premises (@p214 @p208) :args (@t210 @t149 @t214)) % 1.03/1.26 (step @p216 :rule aci_norm :args ((= (or (or @t100 @t118) @t51) (or @t100 @t118 @t51)))) % 1.03/1.26 (step @p217 :rule refl :args (@t51)) % 1.03/1.26 (step @p218 :rule bool-and-de-morgan :args (@t20 @t15 true)) % 1.03/1.26 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or (not @t52) @t51))) % 1.03/1.26 (step @p220 :rule trans :premises (@p219 @p216)) % 1.03/1.26 (step @p221 :rule bool-impl-elim :args (@t52 @t51)) % 1.03/1.26 (step @p222 :rule trans :premises (@p221 @p220)) % 1.03/1.26 (step @p223 :rule cong :premises (@p222) :args (@t53)) % 1.03/1.26 (step @p224 :rule eq_resolve :premises (@p14 @p223)) % 1.03/1.26 (step @p225 :rule instantiate :premises (@p224) :args ((@list @t106 @t105 @t137 @t104))) % 1.03/1.26 (step @p226 :rule bool-double-not-elim :args (@t146)) % 1.03/1.26 (step @p227 :rule nary_cong :premises (@p104 @p226) :args ((or @t148 (not @t147)))) % 1.03/1.26 (step @p228 :rule cnf_or_neg :args (@t148 0)) % 1.03/1.26 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 1.03/1.26 (step @p230 :rule reordering :premises (@p229) :args ((or @t146 @t148))) % 1.03/1.26 (step @p231 :rule chain_m_resolution :premises (@p230 @p102) :args (@t146 @t149 @t150)) % 1.03/1.26 (step @p232 :rule cnf_or_pos :args (@t216)) % 1.03/1.26 (step @p233 :rule reordering :premises (@p232) :args ((or @t147 @t145 @t215 (not @t216)))) % 1.03/1.26 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p109 @p225) :args (@t215 @t217 (@list @t146 @t135 @t216))) % 1.03/1.26 (step @p235 :rule cnf_or_pos :args (@t220)) % 1.03/1.26 (step @p236 :rule reordering :premises (@p235) :args ((or @t219 @t212 @t218 (not @t220)))) % 1.03/1.26 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p215 @p195) :args (@t218 @t217 (@list @t215 @t210 @t220))) % 1.03/1.26 (step @p238 :rule aci_norm :args ((= (or @t205 (or @t204 @t221)) (or @t205 @t204 @t221)))) % 1.03/1.26 (step @p239 :rule bool-and-de-morgan :args (@t87 @t90 true)) % 1.03/1.26 (step @p240 :rule refl :args (@t205)) % 1.03/1.26 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t205 (not (and @t87 @t90))))) % 1.03/1.26 (step @p242 :rule bool-and-de-morgan :args (@t25 @t87 (and @t90))) % 1.03/1.26 (step @p243 :rule trans :premises (@p242 @p241)) % 1.03/1.26 (step @p244 :rule trans :premises (@p243 @p238)) % 1.03/1.26 (step @p245 :rule cong :premises (@p244) :args (@t91)) % 1.03/1.26 (step @p246 :rule eq_resolve :premises (@p45 @p245)) % 1.03/1.26 (step @p247 :rule instantiate :premises (@p246) :args (@t206)) % 1.03/1.26 (step @p248 :rule cnf_or_pos :args (@t224)) % 1.03/1.26 (step @p249 :rule reordering :premises (@p248) :args ((or @t219 @t223 @t212 (not @t224)))) % 1.03/1.26 (step @p250 :rule chain_m_resolution :premises (@p249 @p234 @p215 @p247) :args (@t223 @t217 (@list @t215 @t210 @t224))) % 1.03/1.26 (step @p251 :rule cnf_or_pos :args (@t229)) % 1.03/1.26 (step @p252 :rule reordering :premises (@p251) :args ((or @t147 @t145 @t222 @t228 @t227 (not @t229)))) % 1.03/1.26 (step @p253 :rule chain_m_resolution :premises (@p252 @p231 @p109 @p250 @p237 @p185) :args (@t227 @t230 (@list @t146 @t135 @t222 @t218 @t229))) % 1.03/1.26 (step @p254 :rule cnf_equiv_pos1 :args (@t227)) % 1.03/1.26 (step @p255 :rule reordering :premises (@p254) :args ((or @t212 @t226 (not @t227)))) % 1.03/1.26 (step @p256 :rule chain_m_resolution :premises (@p255 @p215 @p253) :args (@t226 @t153 (@list @t210 @t227))) % 1.03/1.26 (step @p257 :rule instantiate :premises (@p256) :args ((@list @t232))) % 1.03/1.26 (step @p258 :rule instantiate :premises (@p184) :args ((@list @t105 @t106 @t137 @t203 @t136))) % 1.03/1.26 (step @p259 :rule bool-double-not-elim :args (@t143)) % 1.03/1.26 (step @p260 :rule nary_cong :premises (@p104 @p259) :args ((or @t148 (not @t144)))) % 1.03/1.26 (step @p261 :rule cnf_or_neg :args (@t148 2)) % 1.03/1.26 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 1.03/1.26 (step @p263 :rule reordering :premises (@p262) :args ((or @t143 @t148))) % 1.03/1.26 (step @p264 :rule chain_m_resolution :premises (@p263 @p102) :args (@t143 @t149 @t150)) % 1.03/1.26 (step @p265 :rule cnf_or_pos :args (@t234)) % 1.03/1.26 (step @p266 :rule reordering :premises (@p265) :args ((or @t147 @t144 @t222 @t228 @t233 (not @t234)))) % 1.03/1.26 (step @p267 :rule chain_m_resolution :premises (@p266 @p231 @p264 @p250 @p237 @p258) :args (@t233 @t230 (@list @t146 @t143 @t222 @t218 @t234))) % 1.03/1.26 (step @p268 :rule cnf_or_neg :args (@t213 1)) % 1.03/1.26 (step @p269 :rule chain_m_resolution :premises (@p268 @p208) :args ((not @t211) @t149 @t214)) % 1.03/1.26 (step @p270 :rule cnf_equiv_pos2 :args (@t233)) % 1.03/1.26 (step @p271 :rule reordering :premises (@p270) :args ((or @t211 @t235 (not @t233)))) % 1.03/1.26 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p267) :args (@t235 @t209 (@list @t211 @t233))) % 1.03/1.26 (step @p273 :rule skolemize :premises (@p272)) % 1.03/1.26 (step @p274 :rule bool-double-not-elim :args (@t236)) % 1.03/1.26 (step @p275 :rule refl :args (@t240)) % 1.03/1.26 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t240 (not @t239)))) % 1.03/1.26 (step @p277 :rule cnf_or_neg :args (@t240 0)) % 1.03/1.26 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 1.03/1.26 (step @p279 :rule reordering :premises (@p278) :args ((or @t236 @t240))) % 1.03/1.26 (step @p280 :rule chain_m_resolution :premises (@p279 @p273) :args (@t236 @t149 @t241)) % 1.03/1.26 (step @p281 :rule cnf_or_pos :args (@t243)) % 1.03/1.26 (step @p282 :rule reordering :premises (@p281) :args ((or @t239 @t242 (not @t243)))) % 1.03/1.26 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p257) :args (@t242 @t153 (@list @t236 @t243))) % 1.03/1.26 (step @p284 :rule instantiate :premises (@p201) :args ((@list @t104 @t136))) % 1.03/1.26 (step @p285 :rule bool-double-not-elim :args (@t141)) % 1.03/1.26 (step @p286 :rule nary_cong :premises (@p104 @p285) :args ((or @t148 (not @t142)))) % 1.03/1.26 (step @p287 :rule cnf_or_neg :args (@t148 3)) % 1.03/1.26 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 1.03/1.26 (step @p289 :rule reordering :premises (@p288) :args ((or @t141 @t148))) % 1.03/1.26 (step @p290 :rule chain_m_resolution :premises (@p289 @p102) :args (@t141 @t149 @t150)) % 1.03/1.26 (step @p291 :rule cnf_equiv_pos1 :args (@t245)) % 1.03/1.26 (step @p292 :rule reordering :premises (@p291) :args ((or @t142 @t244 (not @t245)))) % 1.03/1.26 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p284) :args (@t244 @t153 (@list @t141 @t245))) % 1.03/1.26 (step @p294 :rule instantiate :premises (@p293) :args ((@list @t246))) % 1.03/1.26 (step @p295 :rule bool-impl-elim :args (@t30 @t92)) % 1.03/1.26 (step @p296 :rule cong :premises (@p295) :args (@t93)) % 1.03/1.26 (step @p297 :rule eq_resolve :premises (@p49 @p296)) % 1.03/1.26 (step @p298 :rule instantiate :premises (@p297) :args ((@list @t203 @t232 @t136))) % 1.03/1.26 (step @p299 :rule instantiate :premises (@p52) :args ((@list @t106 @t105 @t136))) % 1.03/1.26 (step @p300 :rule cnf_or_pos :args (@t248)) % 1.03/1.26 (step @p301 :rule reordering :premises (@p300) :args ((or @t144 @t247 (not @t248)))) % 1.03/1.26 (step @p302 :rule chain_m_resolution :premises (@p301 @p264 @p299) :args (@t247 @t153 (@list @t143 @t248))) % 1.03/1.26 (step @p303 :rule cnf_or_pos :args (@t252)) % 1.03/1.26 (step @p304 :rule reordering :premises (@p303) :args ((or @t251 @t250 (not @t252)))) % 1.03/1.26 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p298) :args (@t250 @t153 (@list @t247 @t252))) % 1.03/1.26 (step @p306 :rule cnf_or_neg :args (@t240 1)) % 1.03/1.26 (step @p307 :rule chain_m_resolution :premises (@p306 @p273) :args ((not @t238) @t149 @t241)) % 1.03/1.26 (step @p308 :rule cnf_equiv_pos2 :args (@t250)) % 1.03/1.26 (step @p309 :rule reordering :premises (@p308) :args ((or @t238 @t253 (not @t250)))) % 1.03/1.26 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p305) :args (@t253 @t209 (@list @t238 @t250))) % 1.03/1.26 (step @p311 :rule cnf_or_pos :args (@t256)) % 1.03/1.26 (step @p312 :rule reordering :premises (@p311) :args ((or @t249 @t255 (not @t256)))) % 1.03/1.26 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p294) :args (@t255 @t209 (@list @t249 @t256))) % 1.03/1.26 (step @p314 :rule cnf_equiv_pos2 :args (@t257)) % 1.03/1.26 (step @p315 :rule reordering :premises (@p314) :args ((or @t254 (not @t242) @t258))) % 1.03/1.26 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p283) :args (@t258 @t209 (@list @t254 @t242))) % 1.03/1.26 (step @p317 :rule eq-symm :args (@t242 @t254)) % 1.03/1.26 (step @p318 :rule refl :args (@t259)) % 1.03/1.26 (step @p319 :rule nary_cong :premises (@p318 @p317) :args (@t260)) % 1.03/1.26 (step @p320 :rule refl :args (@t261)) % 1.03/1.26 (step @p321 :rule cong :premises (@p320 @p319) :args ((=> @t261 @t260))) % 1.03/1.26 (assume-push @p332 @t261) % 1.03/1.26 (step @p323 :rule instantiate :premises (@p297) :args ((@list @t203 @t232 @t104))) % 1.03/1.26 (step-pop @p333 :rule scope :premises (@p323)) % 1.03/1.26 (step @p324 :rule process_scope :premises (@p333) :args (@t260)) % 1.03/1.26 (step @p326 :rule eq_resolve :premises (@p324 @p321)) % 1.03/1.26 (step @p327 :rule implies_elim :premises (@p326)) % 1.03/1.26 (step @p328 :rule chain_m_resolution :premises (@p327 @p297) :args (@t262 (@list false) (@list @t261))) % 1.03/1.26 (step @p329 :rule cnf_or_pos :args (@t262)) % 1.03/1.26 (step @p330 :rule reordering :premises (@p329) :args ((or @t259 @t257 (not @t262)))) % 1.03/1.26 (step @p331 false :rule chain_m_resolution :premises (@p330 @p328 @p316 @p112) :args (false (@list false true false) (@list @t262 @t257 @t151))) % 1.03/1.26 ) % 1.03/1.26 % SZS output end Proof % 1.03/1.26 % cvc5 exiting %------------------------------------------------------------------------------