%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU441+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 : n007.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 08:51:49 AM UTC 2026 % Result : Theorem 0.38s 0.74s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU441+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:29:11 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.74 % SZS status Theorem % 0.38/0.74 % SZS output start Proof % 0.38/0.74 ( % 0.38/0.74 (declare-sort $$unsorted 0) % 0.38/0.74 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.38/0.74 (declare-const tptp.k1_funct_5 (-> $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.k5_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.k9_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.k2_funct_5 (-> $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.74 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 0.38/0.74 (define @t1 () (@var "E" $$unsorted)) % 0.38/0.74 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.74 (define @t3 () (@var "C" $$unsorted)) % 0.38/0.74 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.74 (define @t5 () (@var "A" $$unsorted)) % 0.38/0.74 (define @t6 () (tptp.k9_relset_2 @t5 @t4 @t3 @t2 @t1)) % 0.38/0.74 (define @t7 () (tptp.k2_funct_5 @t6)) % 0.38/0.74 (define @t8 () (tptp.k2_funct_5 @t2)) % 0.38/0.74 (define @t9 () (and (= @t7 (tptp.k10_relset_1 @t4 @t3 @t1 @t8)) (tptp.r1_tarski @t7 (tptp.k2_funct_5 @t1)))) % 0.38/0.74 (define @t10 () (tptp.m2_relset_1 @t1 @t4 @t3)) % 0.38/0.74 (define @t11 () (@list @t1)) % 0.38/0.74 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.38/0.74 (define @t13 () (tptp.m2_relset_1 @t2 @t5 @t4)) % 0.38/0.74 (define @t14 () (=> @t13 @t12)) % 0.38/0.74 (define @t15 () (@list @t5 @t4 @t3 @t2)) % 0.38/0.74 (define @t16 () (forall @t15 @t14)) % 0.38/0.74 (define @t17 () (not @t16)) % 0.38/0.74 (define @t18 () (tptp.r2_hidden @t5 @t4)) % 0.38/0.74 (define @t19 () (@list @t5 @t4)) % 0.38/0.74 (define @t20 () (tptp.v1_relat_1 @t5)) % 0.38/0.74 (define @t21 () (tptp.v1_xboole_0 @t5)) % 0.38/0.74 (define @t22 () (@list @t5)) % 0.38/0.74 (define @t23 () (tptp.v1_relat_1 @t3)) % 0.38/0.74 (define @t24 () (tptp.k2_zfmisc_1 @t5 @t4)) % 0.38/0.74 (define @t25 () (tptp.k1_zfmisc_1 @t24)) % 0.38/0.74 (define @t26 () (tptp.m1_subset_1 @t3 @t25)) % 0.38/0.74 (define @t27 () (@list @t5 @t4 @t3)) % 0.38/0.74 (define @t28 () (forall @t27 (=> @t26 @t23))) % 0.38/0.74 (define @t29 () (tptp.k1_zfmisc_1 @t4)) % 0.38/0.74 (define @t30 () (tptp.k10_relset_1 @t5 @t4 @t3 @t2)) % 0.38/0.74 (define @t31 () (tptp.m1_relset_1 @t3 @t5 @t4)) % 0.38/0.74 (define @t32 () (tptp.k4_relat_1 @t5)) % 0.38/0.74 (define @t33 () (tptp.v1_relat_1 @t32)) % 0.38/0.74 (define @t34 () (tptp.k5_relat_1 @t5 @t4)) % 0.38/0.74 (define @t35 () (tptp.v1_relat_1 @t34)) % 0.38/0.74 (define @t36 () (tptp.v1_relat_1 @t4)) % 0.38/0.74 (define @t37 () (tptp.k5_relset_1 @t5 @t4 @t3)) % 0.38/0.74 (define @t38 () (tptp.m1_subset_1 @t37 @t29)) % 0.38/0.74 (define @t39 () (forall @t27 (=> @t31 @t38))) % 0.38/0.74 (define @t40 () (tptp.k6_relset_1 @t5 @t4 @t3)) % 0.38/0.74 (define @t41 () (tptp.m2_relset_1 @t6 @t5 @t3)) % 0.38/0.74 (define @t42 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t4 @t3)))) % 0.38/0.74 (define @t43 () (tptp.m1_subset_1 @t2 @t25)) % 0.38/0.74 (define @t44 () (and @t43 @t42)) % 0.38/0.74 (define @t45 () (@list @t5 @t4 @t3 @t2 @t1)) % 0.38/0.74 (define @t46 () (forall @t45 (=> @t44 @t41))) % 0.38/0.74 (define @t47 () (tptp.m2_relset_1 @t3 @t5 @t4)) % 0.38/0.74 (define @t48 () (forall @t27 (=> @t47 @t26))) % 0.38/0.74 (define @t49 () (@list @t3)) % 0.38/0.74 (define @t50 () (@list @t4)) % 0.38/0.74 (define @t51 () (tptp.k5_relat_1 @t4 @t5)) % 0.38/0.74 (define @t52 () (and @t21 @t36)) % 0.38/0.74 (define @t53 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.38/0.74 (define @t54 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.38/0.74 (define @t55 () (tptp.k1_zfmisc_1 @t5)) % 0.38/0.74 (define @t56 () (tptp.v1_xboole_0 @t4)) % 0.38/0.74 (define @t57 () (not @t56)) % 0.38/0.74 (define @t58 () (not @t21)) % 0.38/0.74 (define @t59 () (tptp.k1_relat_1 @t5)) % 0.38/0.74 (define @t60 () (tptp.v1_xboole_0 @t59)) % 0.38/0.74 (define @t61 () (and @t58 @t20)) % 0.38/0.74 (define @t62 () (tptp.k2_relat_1 @t5)) % 0.38/0.74 (define @t63 () (tptp.v1_xboole_0 @t62)) % 0.38/0.74 (define @t64 () (tptp.m1_subset_1 @t4 @t55)) % 0.38/0.74 (define @t65 () (= @t30 (tptp.k9_relat_1 @t3 @t2))) % 0.38/0.74 (define @t66 () (forall @t15 (=> @t31 @t65))) % 0.38/0.74 (define @t67 () (= @t37 (tptp.k2_relat_1 @t3))) % 0.38/0.74 (define @t68 () (forall @t27 (=> @t31 @t67))) % 0.38/0.74 (define @t69 () (= @t6 (tptp.k5_relat_1 @t2 @t1))) % 0.38/0.74 (define @t70 () (forall @t45 (=> @t44 @t69))) % 0.38/0.74 (define @t71 () (forall @t27 (= @t47 @t31))) % 0.38/0.74 (define @t72 () (tptp.r1_tarski (tptp.k9_relat_1 @t3 @t5) (tptp.k9_relat_1 @t3 @t4))) % 0.38/0.74 (define @t73 () (tptp.r1_tarski @t5 @t4)) % 0.38/0.74 (define @t74 () (=> @t73 @t72)) % 0.38/0.74 (define @t75 () (forall @t27 (=> @t23 @t74))) % 0.38/0.74 (define @t76 () (tptp.k9_relat_1 @t4 @t5)) % 0.38/0.74 (define @t77 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t4 @t3) @t5) (tptp.k9_relat_1 @t3 @t76))) % 0.38/0.74 (define @t78 () (forall @t49 (=> @t23 @t77))) % 0.38/0.74 (define @t79 () (=> @t36 @t78)) % 0.38/0.74 (define @t80 () (forall @t19 @t79)) % 0.38/0.74 (define @t81 () (tptp.m1_subset_1 @t5 @t4)) % 0.38/0.74 (define @t82 () (tptp.k2_funct_5 @t5)) % 0.38/0.74 (define @t83 () (tptp.k1_funct_5 @t5)) % 0.38/0.74 (define @t84 () (and (= @t83 @t59) (= @t82 @t62))) % 0.38/0.74 (define @t85 () (=> @t20 @t84)) % 0.38/0.74 (define @t86 () (forall @t22 @t85)) % 0.38/0.74 (define @t87 () (tptp.m1_subset_1 @t5 @t29)) % 0.38/0.74 (define @t88 () (forall @t19 (= @t87 @t73))) % 0.38/0.74 (define @t89 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t3))) % 0.38/0.74 (define @t90 () (and (= (tptp.k1_funct_5 @t3) (tptp.k10_relset_1 @t5 @t4 (tptp.k6_relset_1 @t4 @t5 @t3) @t5)) (= (tptp.k2_funct_5 @t3) (tptp.k10_relset_1 @t4 @t5 @t3 @t4)))) % 0.38/0.74 (define @t91 () (tptp.m2_relset_1 @t3 @t4 @t5)) % 0.38/0.74 (define @t92 () (forall @t27 (=> @t91 @t90))) % 0.38/0.74 (define @t93 () (@var "BOUND_VARIABLE_7689" $$unsorted)) % 0.38/0.74 (define @t94 () (tptp.k2_funct_5 (tptp.k9_relset_2 @t5 @t4 @t3 @t2 @t93))) % 0.38/0.74 (define @t95 () (and (= @t94 (tptp.k10_relset_1 @t4 @t3 @t93 @t8)) (tptp.r1_tarski @t94 (tptp.k2_funct_5 @t93)))) % 0.38/0.74 (define @t96 () (not (tptp.m2_relset_1 @t93 @t4 @t3))) % 0.38/0.74 (define @t97 () (not @t13)) % 0.38/0.74 (define @t98 () (or @t97 @t96 @t95)) % 0.38/0.74 (define @t99 () (@list @t5 @t4 @t3 @t2 @t93)) % 0.38/0.74 (define @t100 () (forall @t99 @t98)) % 0.38/0.74 (define @t101 () (@quantifiers_skolemize @t100 4)) % 0.38/0.74 (define @t102 () (@quantifiers_skolemize @t100 2)) % 0.38/0.74 (define @t103 () (@quantifiers_skolemize @t100 1)) % 0.38/0.74 (define @t104 () (@list @t103 @t102 @t101)) % 0.38/0.74 (define @t105 () (or @t96 @t95)) % 0.38/0.74 (define @t106 () (or @t97 @t105)) % 0.38/0.74 (define @t107 () (forall @t99 @t106)) % 0.38/0.74 (define @t108 () (@list @t93)) % 0.38/0.74 (define @t109 () (forall @t108 @t106)) % 0.38/0.74 (define @t110 () (forall @t108 @t105)) % 0.38/0.74 (define @t111 () (or @t97 @t110)) % 0.38/0.74 (define @t112 () (forall @t11 (or (not @t10) @t9))) % 0.38/0.74 (define @t113 () (tptp.m2_relset_1 @t101 @t103 @t102)) % 0.38/0.74 (define @t114 () (tptp.k2_funct_5 @t101)) % 0.38/0.74 (define @t115 () (@quantifiers_skolemize @t100 3)) % 0.38/0.74 (define @t116 () (@quantifiers_skolemize @t100 0)) % 0.38/0.74 (define @t117 () (tptp.k9_relset_2 @t116 @t103 @t102 @t115 @t101)) % 0.38/0.74 (define @t118 () (tptp.k2_funct_5 @t117)) % 0.38/0.74 (define @t119 () (tptp.r1_tarski @t118 @t114)) % 0.38/0.74 (define @t120 () (tptp.k2_funct_5 @t115)) % 0.38/0.74 (define @t121 () (tptp.k10_relset_1 @t103 @t102 @t101 @t120)) % 0.38/0.74 (define @t122 () (= @t118 @t121)) % 0.38/0.74 (define @t123 () (and @t122 @t119)) % 0.38/0.74 (define @t124 () (not @t113)) % 0.38/0.74 (define @t125 () (tptp.m2_relset_1 @t115 @t116 @t103)) % 0.38/0.74 (define @t126 () (not @t125)) % 0.38/0.74 (define @t127 () (or @t126 @t124 @t123)) % 0.38/0.74 (define @t128 () (@list true)) % 0.38/0.74 (define @t129 () (@list @t127)) % 0.38/0.74 (define @t130 () (tptp.m1_subset_1 @t101 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t103 @t102)))) % 0.38/0.74 (define @t131 () (or @t124 @t130)) % 0.38/0.74 (define @t132 () (@list false false)) % 0.38/0.74 (define @t133 () (tptp.v1_relat_1 @t101)) % 0.38/0.74 (define @t134 () (not @t130)) % 0.38/0.74 (define @t135 () (or @t134 @t133)) % 0.38/0.74 (define @t136 () (not @t73)) % 0.38/0.74 (define @t137 () (not @t23)) % 0.38/0.74 (define @t138 () (tptp.m1_relset_1 @t101 @t103 @t102)) % 0.38/0.74 (define @t139 () (forall @t27 (= @t31 @t47))) % 0.38/0.74 (define @t140 () (= @t138 @t113)) % 0.38/0.74 (define @t141 () (= @t113 @t138)) % 0.38/0.74 (define @t142 () (@list false)) % 0.38/0.74 (define @t143 () (@list @t139)) % 0.38/0.74 (define @t144 () (tptp.k9_relat_1 @t101 @t120)) % 0.38/0.74 (define @t145 () (= @t121 @t144)) % 0.38/0.74 (define @t146 () (not @t138)) % 0.38/0.74 (define @t147 () (or @t146 @t145)) % 0.38/0.74 (define @t148 () (tptp.k10_relset_1 @t116 @t103 @t115 @t116)) % 0.38/0.74 (define @t149 () (= @t120 @t148)) % 0.38/0.74 (define @t150 () (tptp.k1_funct_5 @t115)) % 0.38/0.74 (define @t151 () (and (= @t150 (tptp.k10_relset_1 @t103 @t116 (tptp.k6_relset_1 @t116 @t103 @t115) @t103)) @t149)) % 0.38/0.74 (define @t152 () (or @t126 @t151)) % 0.38/0.74 (define @t153 () (tptp.m1_relset_1 @t115 @t116 @t103)) % 0.38/0.74 (define @t154 () (= @t153 @t125)) % 0.38/0.74 (define @t155 () (@list @t116 @t103 @t115)) % 0.38/0.74 (define @t156 () (= @t125 @t153)) % 0.38/0.74 (define @t157 () (tptp.k9_relat_1 @t115 @t116)) % 0.38/0.74 (define @t158 () (= @t148 @t157)) % 0.38/0.74 (define @t159 () (not @t153)) % 0.38/0.74 (define @t160 () (or @t159 @t158)) % 0.38/0.74 (define @t161 () (tptp.k9_relat_1 @t101 @t157)) % 0.38/0.74 (define @t162 () (@var "BOUND_VARIABLE_7874" $$unsorted)) % 0.38/0.74 (define @t163 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t4 @t162) @t5) (tptp.k9_relat_1 @t162 @t76))) % 0.38/0.74 (define @t164 () (not (tptp.v1_relat_1 @t162))) % 0.38/0.74 (define @t165 () (not @t36)) % 0.38/0.74 (define @t166 () (or @t164 @t163)) % 0.38/0.74 (define @t167 () (or @t165 @t166)) % 0.38/0.74 (define @t168 () (forall (@list @t5 @t4 @t162) @t167)) % 0.38/0.74 (define @t169 () (@list @t162)) % 0.38/0.74 (define @t170 () (forall @t169 @t167)) % 0.38/0.74 (define @t171 () (forall @t169 @t166)) % 0.38/0.74 (define @t172 () (or @t165 @t171)) % 0.38/0.74 (define @t173 () (forall @t49 (or @t137 @t77))) % 0.38/0.74 (define @t174 () (tptp.m1_subset_1 @t115 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t116 @t103)))) % 0.38/0.74 (define @t175 () (or @t126 @t174)) % 0.38/0.74 (define @t176 () (tptp.v1_relat_1 @t115)) % 0.38/0.74 (define @t177 () (not @t174)) % 0.38/0.74 (define @t178 () (or @t177 @t176)) % 0.38/0.74 (define @t179 () (tptp.k5_relat_1 @t115 @t101)) % 0.38/0.74 (define @t180 () (tptp.k9_relat_1 @t179 @t116)) % 0.38/0.74 (define @t181 () (= @t180 @t161)) % 0.38/0.74 (define @t182 () (not @t133)) % 0.38/0.74 (define @t183 () (not @t176)) % 0.38/0.74 (define @t184 () (or @t183 @t182 @t181)) % 0.38/0.74 (define @t185 () (@list false false false)) % 0.38/0.74 (define @t186 () (not @t42)) % 0.38/0.74 (define @t187 () (not @t43)) % 0.38/0.74 (define @t188 () (or @t187 @t186)) % 0.38/0.74 (define @t189 () (not @t44)) % 0.38/0.74 (define @t190 () (@list @t116 @t103 @t102 @t115 @t101)) % 0.38/0.74 (define @t191 () (= @t117 @t179)) % 0.38/0.74 (define @t192 () (or @t177 @t134 @t191)) % 0.38/0.74 (define @t193 () (tptp.k9_relat_1 @t117 @t116)) % 0.38/0.74 (define @t194 () (tptp.m1_relset_1 @t117 @t116 @t102)) % 0.38/0.74 (define @t195 () (tptp.m2_relset_1 @t117 @t116 @t102)) % 0.38/0.74 (define @t196 () (= @t194 @t195)) % 0.38/0.74 (define @t197 () (= @t195 @t194)) % 0.38/0.74 (define @t198 () (or @t177 @t134 @t195)) % 0.38/0.74 (define @t199 () (not @t195)) % 0.38/0.74 (define @t200 () (tptp.k10_relset_1 @t116 @t102 @t117 @t116)) % 0.38/0.74 (define @t201 () (= @t200 @t193)) % 0.38/0.74 (define @t202 () (not @t194)) % 0.38/0.74 (define @t203 () (or @t202 @t201)) % 0.38/0.74 (define @t204 () (= @t118 @t200)) % 0.38/0.74 (define @t205 () (and (= (tptp.k1_funct_5 @t117) (tptp.k10_relset_1 @t102 @t116 (tptp.k6_relset_1 @t116 @t102 @t117) @t102)) @t204)) % 0.38/0.74 (define @t206 () (or @t199 @t205)) % 0.38/0.74 (define @t207 () (tptp.k10_relset_1 @t103 @t102 @t101 @t103)) % 0.38/0.74 (define @t208 () (= @t114 @t207)) % 0.38/0.74 (define @t209 () (and (= (tptp.k1_funct_5 @t101) (tptp.k10_relset_1 @t102 @t103 (tptp.k6_relset_1 @t103 @t102 @t101) @t102)) @t208)) % 0.38/0.74 (define @t210 () (or @t124 @t209)) % 0.38/0.74 (define @t211 () (tptp.k9_relat_1 @t101 @t103)) % 0.38/0.74 (define @t212 () (= @t207 @t211)) % 0.38/0.74 (define @t213 () (or @t146 @t212)) % 0.38/0.74 (define @t214 () (tptp.r1_tarski @t144 @t211)) % 0.38/0.74 (define @t215 () (tptp.k5_relset_1 @t116 @t103 @t115)) % 0.38/0.74 (define @t216 () (tptp.r1_tarski @t215 @t103)) % 0.38/0.74 (define @t217 () (tptp.m1_subset_1 @t215 (tptp.k1_zfmisc_1 @t103))) % 0.38/0.74 (define @t218 () 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@t32) @t33)))) % 0.38/0.74 (assume @p18 (and @t54 @t53 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.38/0.74 (assume @p19 (forall @t22 (not (tptp.v1_xboole_0 @t55)))) % 0.38/0.74 (assume @p20 (forall @t19 (tptp.v1_relat_1 @t24))) % 0.38/0.74 (assume @p21 (and @t54 @t53)) % 0.38/0.74 (assume @p22 (forall @t19 (=> (and @t58 @t57) (not (tptp.v1_xboole_0 @t24))))) % 0.38/0.74 (assume @p23 (forall @t22 (=> @t61 (not @t60)))) % 0.38/0.74 (assume @p24 (forall @t22 (=> @t61 (not @t63)))) % 0.38/0.74 (assume @p25 (forall @t22 (=> @t21 (and @t60 (tptp.v1_relat_1 @t59))))) % 0.38/0.74 (assume @p26 (forall @t22 (=> @t21 (and @t63 (tptp.v1_relat_1 @t62))))) % 0.38/0.74 (assume @p27 (forall @t19 (=> @t52 (and (tptp.v1_xboole_0 @t34) @t35)))) % 0.38/0.74 (assume @p28 (forall @t22 (=> @t20 (= (tptp.k4_relat_1 @t32) @t5)))) % 0.38/0.74 (assume @p29 (forall @t27 (=> @t31 (= (tptp.k6_relset_1 @t5 @t4 @t40) @t3)))) % 0.38/0.74 (assume @p30 (exists @t22 (and @t21 @t20))) % 0.38/0.74 (assume @p31 (forall @t22 (=> @t58 (exists @t50 (and @t64 @t57))))) % 0.38/0.74 (assume @p32 (exists @t22 @t61)) % 0.38/0.74 (assume @p33 (forall @t22 (exists @t50 (and @t64 @t56)))) % 0.38/0.74 (assume @p34 (exists @t22 (and @t20 (tptp.v3_relat_1 @t5)))) % 0.38/0.74 (assume @p35 @t66) % 0.38/0.74 (assume @p36 @t68) % 0.38/0.74 (assume @p37 (forall @t27 (=> @t31 (= @t40 (tptp.k4_relat_1 @t3))))) % 0.38/0.74 (assume @p38 @t70) % 0.38/0.74 (assume @p39 @t71) % 0.38/0.74 (assume @p40 (forall @t19 (tptp.r1_tarski @t5 @t5))) % 0.38/0.74 (assume @p41 @t75) % 0.38/0.74 (assume @p42 @t80) % 0.38/0.74 (assume @p43 (forall @t19 (=> @t18 @t81))) % 0.38/0.74 (assume @p44 @t86) % 0.38/0.74 (assume @p45 (forall @t19 (=> @t81 (or @t56 @t18)))) % 0.38/0.74 (assume @p46 @t88) % 0.38/0.74 (assume @p47 (forall @t27 (=> (and @t18 @t89) (tptp.m1_subset_1 @t5 @t3)))) % 0.38/0.74 (assume @p48 @t92) % 0.38/0.74 (assume @p49 (forall @t27 (not (and @t18 @t89 (tptp.v1_xboole_0 @t3))))) % 0.38/0.74 (assume @p50 (forall @t22 (=> @t21 (= 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0.38/0.74 (step @p135 :rule instantiate :premises (@p134) :args ((@list @t103 @t116 @t115))) % 0.38/0.74 (step @p136 :rule bool-double-not-elim :args (@t125)) % 0.38/0.74 (step @p137 :rule nary_cong :premises (@p86 @p136) :args ((or @t127 (not @t126)))) % 0.38/0.74 (step @p138 :rule cnf_or_neg :args (@t127 0)) % 0.38/0.74 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.38/0.74 (step @p140 :rule reordering :premises (@p139) :args ((or @t125 @t127))) % 0.38/0.74 (step @p141 :rule chain_m_resolution :premises (@p140 @p84) :args (@t125 @t128 @t129)) % 0.38/0.74 (step @p142 :rule cnf_or_pos :args (@t152)) % 0.38/0.74 (step @p143 :rule reordering :premises (@p142) :args ((or @t126 @t151 (not @t152)))) % 0.38/0.74 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p135) :args (@t151 @t132 (@list @t125 @t152))) % 0.38/0.74 (step @p145 :rule cnf_and_pos :args (@t151 1)) % 0.38/0.74 (step @p146 :rule reordering :premises (@p145) :args ((or @t149 (not @t151)))) % 0.38/0.74 (step @p147 :rule chain_m_resolution :premises (@p146 @p144) :args (@t149 @t142 (@list @t151))) % 0.38/0.74 (step @p148 :rule symm :premises (@p147)) % 0.38/0.74 (step @p149 :rule instantiate :premises (@p110) :args ((@list @t116 @t103 @t115 @t116))) % 0.38/0.74 (step @p150 :rule eq-symm :args (@t153 @t125)) % 0.38/0.74 (step @p151 :rule cong :premises (@p116 @p150) :args ((=> @t139 @t154))) % 0.38/0.74 (assume-push @p366 @t139) % 0.38/0.74 (step @p153 :rule instantiate :premises (@p114) :args (@t155)) % 0.38/0.74 (step-pop @p367 :rule scope :premises (@p153)) % 0.38/0.74 (step @p154 :rule process_scope :premises (@p367) :args (@t154)) % 0.38/0.74 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 0.38/0.74 (step @p157 :rule implies_elim :premises (@p156)) % 0.38/0.74 (step @p158 :rule chain_m_resolution :premises (@p157 @p114) :args (@t156 @t142 @t143)) % 0.38/0.74 (step @p159 :rule cnf_equiv_pos1 :args (@t156)) % 0.38/0.74 (step @p160 :rule reordering :premises (@p159) :args 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(assume-push @p370 @t218) % 0.38/0.74 (step @p291 :rule instantiate :premises (@p286) :args ((@list @t215 @t103))) % 0.38/0.74 (step-pop @p371 :rule scope :premises (@p291)) % 0.38/0.74 (step @p292 :rule process_scope :premises (@p371) :args (@t219)) % 0.38/0.74 (step @p294 :rule eq_resolve :premises (@p292 @p289)) % 0.38/0.74 (step @p295 :rule implies_elim :premises (@p294)) % 0.38/0.74 (step @p296 :rule chain_m_resolution :premises (@p295 @p286) :args (@t220 @t142 (@list @t218))) % 0.38/0.74 (step @p297 :rule bool-impl-elim :args (@t31 @t38)) % 0.38/0.74 (step @p298 :rule cong :premises (@p297) :args (@t39)) % 0.38/0.74 (step @p299 :rule eq_resolve :premises (@p9 @p298)) % 0.38/0.74 (step @p300 :rule instantiate :premises (@p299) :args (@t155)) % 0.38/0.74 (step @p301 :rule cnf_or_pos :args (@t221)) % 0.38/0.74 (step @p302 :rule reordering :premises (@p301) :args ((or @t159 @t217 (not @t221)))) % 0.38/0.74 (step @p303 :rule chain_m_resolution :premises (@p302 @p161 @p300) :args (@t217 @t132 (@list @t153 @t221))) % 0.38/0.74 (step @p304 :rule cnf_equiv_pos1 :args (@t220)) % 0.38/0.74 (step @p305 :rule reordering :premises (@p304) :args ((or (not @t217) @t216 (not @t220)))) % 0.38/0.74 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p296) :args (@t216 @t132 (@list @t217 @t220))) % 0.38/0.74 (step @p307 :rule true_intro :premises (@p306)) % 0.38/0.74 (step @p308 :rule refl :args (@t103)) % 0.38/0.74 (step @p309 :rule bool-impl-elim :args (@t31 @t67)) % 0.38/0.74 (step @p310 :rule cong :premises (@p309) :args (@t68)) % 0.38/0.74 (step @p311 :rule eq_resolve :premises (@p36 @p310)) % 0.38/0.74 (step @p312 :rule eq-symm :args (@t215 @t222)) % 0.38/0.74 (step @p313 :rule refl :args (@t159)) % 0.38/0.74 (step @p314 :rule nary_cong :premises (@p313 @p312) :args (@t223)) % 0.38/0.74 (step @p315 :rule refl :args (@t224)) % 0.38/0.74 (step @p316 :rule cong :premises (@p315 @p314) :args ((=> @t224 @t223))) % 0.38/0.74 (assume-push @p372 @t224) % 0.38/0.74 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@p331 :rule nary_cong :premises (@p330 @p329) :args (@t84)) % 0.38/0.74 (step @p332 :rule refl :args (@t20)) % 0.38/0.74 (step @p333 :rule cong :premises (@p332 @p331) :args (@t85)) % 0.38/0.74 (step @p334 :rule cong :premises (@p333) :args (@t86)) % 0.38/0.74 (step @p335 :rule trans :premises (@p334 @p328)) % 0.38/0.74 (step @p336 :rule eq_resolve :premises (@p44 @p335)) % 0.38/0.74 (step @p337 :rule eq-symm :args (@t222 @t120)) % 0.38/0.74 (step @p338 :rule refl :args (@t228)) % 0.38/0.74 (step @p339 :rule nary_cong :premises (@p338 @p337) :args (@t229)) % 0.38/0.74 (step @p340 :rule refl :args (@t183)) % 0.38/0.74 (step @p341 :rule nary_cong :premises (@p340 @p339) :args (@t230)) % 0.38/0.74 (step @p342 :rule refl :args (@t231)) % 0.38/0.75 (step @p343 :rule cong :premises (@p342 @p341) :args ((=> @t231 @t230))) % 0.38/0.75 (assume-push @p374 @t231) % 0.38/0.75 (step @p345 :rule instantiate :premises (@p336) :args ((@list @t115))) % 0.38/0.75 (step-pop @p375 :rule scope :premises (@p345)) % 0.38/0.75 (step @p346 :rule process_scope :premises (@p375) :args (@t230)) % 0.38/0.75 (step @p348 :rule eq_resolve :premises (@p346 @p343)) % 0.38/0.75 (step @p349 :rule implies_elim :premises (@p348)) % 0.38/0.75 (step @p350 :rule chain_m_resolution :premises (@p349 @p336) :args (@t234 @t142 (@list @t231))) % 0.38/0.75 (step @p351 :rule cnf_or_pos :args (@t234)) % 0.38/0.75 (step @p352 :rule reordering :premises (@p351) :args ((or @t183 @t233 (not @t234)))) % 0.38/0.75 (step @p353 :rule chain_m_resolution :premises (@p352 @p199 @p350) :args (@t233 @t132 (@list @t176 @t234))) % 0.38/0.75 (step @p354 :rule cnf_and_pos :args (@t233 1)) % 0.38/0.75 (step @p355 :rule reordering :premises (@p354) :args ((or @t232 (not @t233)))) % 0.38/0.75 (step @p356 :rule chain_m_resolution :premises (@p355 @p353) :args (@t232 @t142 (@list @t233))) % 0.38/0.75 (step @p357 :rule trans :premises (@p356 @p326)) % 0.38/0.75 (step @p358 :rule cong :premises (@p357 @p308) :args (@t235)) % 0.38/0.75 (step @p359 :rule trans :premises (@p358 @p307)) % 0.38/0.75 (step @p360 :rule true_elim :premises (@p359)) % 0.38/0.75 (step @p361 :rule cnf_or_pos :args (@t237)) % 0.38/0.75 (step @p362 :rule reordering :premises (@p361) :args ((or @t182 @t236 @t214 (not @t237)))) % 0.38/0.75 (step @p363 false :rule chain_m_resolution :premises (@p362 @p360 @p283 @p107 @p97) :args (false (@list false true false false) (@list @t235 @t214 @t237 @t133))) % 0.38/0.75 ) % 0.38/0.75 % SZS output end Proof % 0.38/0.75 % cvc5 exiting %------------------------------------------------------------------------------