%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT032+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 : n020.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 08:09:31 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT032+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 : Wed Jun 3 03:02:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.45/0.66 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.k17_isocat_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.m2_cat_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.v8_cat_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.u1_cat_1 (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.l1_cat_1 (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.v1_cat_1 (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.v2_cat_1 (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.g1_cat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.u6_cat_1 (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.r1_isocat_1 (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.u5_cat_1 (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.u4_cat_1 (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.k12_nattra_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.u3_cat_1 (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.k11_cat_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.u2_cat_1 (-> $$unsorted $$unsorted)) % 0.45/0.66 (define @t1 () (@var "C" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "A" $$unsorted)) % 0.45/0.66 (define @t3 () (@var "B" $$unsorted)) % 0.45/0.66 (define @t4 () (tptp.k12_nattra_1 @t2 @t3)) % 0.45/0.66 (define @t5 () (tptp.k11_cat_2 @t4 (tptp.k12_nattra_1 @t2 @t1))) % 0.45/0.66 (define @t6 () (tptp.k12_nattra_1 @t2 (tptp.k11_cat_2 @t3 @t1))) % 0.45/0.66 (define @t7 () (tptp.r1_isocat_1 @t6 @t5)) % 0.45/0.66 (define @t8 () (tptp.l1_cat_1 @t1)) % 0.45/0.66 (define @t9 () (tptp.v2_cat_1 @t1)) % 0.45/0.66 (define @t10 () (and @t9 @t8)) % 0.45/0.66 (define @t11 () (@list @t1)) % 0.45/0.66 (define @t12 () (forall @t11 (=> @t10 @t7))) % 0.45/0.66 (define @t13 () (tptp.l1_cat_1 @t3)) % 0.45/0.66 (define @t14 () (tptp.v2_cat_1 @t3)) % 0.45/0.66 (define @t15 () (and @t14 @t13)) % 0.45/0.66 (define @t16 () (=> @t15 @t12)) % 0.45/0.66 (define @t17 () (@list @t3)) % 0.45/0.66 (define @t18 () (forall @t17 @t16)) % 0.45/0.66 (define @t19 () (tptp.l1_cat_1 @t2)) % 0.45/0.66 (define @t20 () (tptp.v2_cat_1 @t2)) % 0.45/0.66 (define @t21 () (and @t20 @t19)) % 0.45/0.66 (define @t22 () (=> @t21 @t18)) % 0.45/0.66 (define @t23 () (@list @t2)) % 0.45/0.66 (define @t24 () (forall @t23 @t22)) % 0.45/0.66 (define @t25 () (not @t24)) % 0.45/0.66 (define @t26 () (tptp.u6_cat_1 @t2)) % 0.45/0.66 (define @t27 () (tptp.u5_cat_1 @t2)) % 0.45/0.66 (define @t28 () (tptp.u4_cat_1 @t2)) % 0.45/0.66 (define @t29 () (tptp.u3_cat_1 @t2)) % 0.45/0.66 (define @t30 () (tptp.u2_cat_1 @t2)) % 0.45/0.66 (define @t31 () (tptp.u1_cat_1 @t2)) % 0.45/0.66 (define @t32 () (tptp.r2_hidden @t2 @t3)) % 0.45/0.66 (define @t33 () (@list @t2 @t3)) % 0.45/0.66 (define @t34 () (tptp.k2_zfmisc_1 @t2 @t3)) % 0.45/0.66 (define @t35 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t34))) % 0.45/0.66 (define @t36 () (@list @t2 @t3 @t1)) % 0.45/0.66 (define @t37 () (tptp.v8_cat_1 @t1 @t2 @t3)) % 0.45/0.66 (define @t38 () (tptp.m2_cat_1 @t1 @t2 @t3)) % 0.45/0.66 (define @t39 () (and @t38 @t37)) % 0.45/0.66 (define @t40 () (exists @t11 @t39)) % 0.45/0.66 (define @t41 () (tptp.r1_isocat_1 @t2 @t3)) % 0.45/0.66 (define @t42 () (= @t41 @t40)) % 0.45/0.66 (define @t43 () (=> @t15 @t42)) % 0.45/0.66 (define @t44 () (forall @t17 @t43)) % 0.45/0.66 (define @t45 () (=> @t21 @t44)) % 0.45/0.66 (define @t46 () (forall @t23 @t45)) % 0.45/0.66 (define @t47 () (@var "F" $$unsorted)) % 0.45/0.66 (define @t48 () (@var "E" $$unsorted)) % 0.45/0.66 (define @t49 () (@var "D" $$unsorted)) % 0.45/0.66 (define @t50 () (tptp.g1_cat_1 @t2 @t3 @t1 @t49 @t48 @t47)) % 0.45/0.66 (define @t51 () (tptp.v1_funct_1 @t1)) % 0.45/0.66 (define @t52 () (tptp.v1_xboole_0 @t3)) % 0.45/0.66 (define @t53 () (not @t52)) % 0.45/0.66 (define @t54 () (tptp.v1_xboole_0 @t2)) % 0.45/0.66 (define @t55 () (not @t54)) % 0.45/0.66 (define @t56 () (and @t55 @t53 @t51 (tptp.v1_funct_2 @t1 @t3 @t2) (tptp.m1_relset_1 @t1 @t3 @t2) (tptp.v1_funct_1 @t49) (tptp.v1_funct_2 @t49 @t3 @t2) (tptp.m1_relset_1 @t49 @t3 @t2) (tptp.v1_funct_1 @t48) (tptp.m1_relset_1 @t48 (tptp.k2_zfmisc_1 @t3 @t3) @t3) (tptp.v1_funct_1 @t47) (tptp.v1_funct_2 @t47 @t2 @t3) (tptp.m1_relset_1 @t47 @t2 @t3))) % 0.45/0.66 (define @t57 () (@list @t2 @t3 @t1 @t49 @t48 @t47)) % 0.45/0.66 (define @t58 () (tptp.k11_cat_2 @t2 @t3)) % 0.45/0.66 (define @t59 () (and (tptp.v2_cat_1 @t58) (tptp.l1_cat_1 @t58))) % 0.45/0.66 (define @t60 () (and @t20 @t19 @t14 @t13)) % 0.45/0.66 (define @t61 () (forall @t33 (=> @t60 @t59))) % 0.45/0.66 (define @t62 () (and (tptp.v1_cat_1 @t4) (tptp.v2_cat_1 @t4) (tptp.l1_cat_1 @t4))) % 0.45/0.66 (define @t63 () (forall @t33 (=> @t60 @t62))) % 0.45/0.66 (define @t64 () (tptp.k17_isocat_2 @t2 @t3 @t1)) % 0.45/0.66 (define @t65 () (tptp.m2_cat_1 @t64 @t6 @t5)) % 0.45/0.66 (define @t66 () (and @t20 @t19 @t14 @t13 @t9 @t8)) % 0.45/0.66 (define @t67 () (forall @t36 (=> @t66 @t65))) % 0.45/0.66 (define @t68 () (tptp.u2_cat_1 @t3)) % 0.45/0.66 (define @t69 () (tptp.m2_relset_1 @t1 @t2 @t3)) % 0.45/0.66 (define @t70 () (tptp.m1_relset_1 @t1 @t2 @t3)) % 0.45/0.66 (define @t71 () (tptp.k1_zfmisc_1 @t2)) % 0.45/0.66 (define @t72 () (@var "L" $$unsorted)) % 0.45/0.66 (define @t73 () (@var "K" $$unsorted)) % 0.45/0.66 (define @t74 () (@var "J" $$unsorted)) % 0.45/0.66 (define @t75 () (@var "I" $$unsorted)) % 0.45/0.66 (define @t76 () (@var "H" $$unsorted)) % 0.45/0.66 (define @t77 () (@var "G" $$unsorted)) % 0.45/0.66 (define @t78 () (tptp.m1_subset_1 @t3 @t71)) % 0.45/0.66 (define @t79 () (tptp.m1_subset_1 @t2 @t3)) % 0.45/0.66 (define @t80 () (tptp.v8_cat_1 @t64 @t6 @t5)) % 0.45/0.66 (define @t81 () (forall @t11 (=> @t10 @t80))) % 0.45/0.66 (define @t82 () (=> @t15 @t81)) % 0.45/0.66 (define @t83 () (forall @t17 @t82)) % 0.45/0.66 (define @t84 () (=> @t21 @t83)) % 0.45/0.66 (define @t85 () (forall @t23 @t84)) % 0.45/0.66 (define @t86 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1))) % 0.45/0.66 (define @t87 () (@var "BOUND_VARIABLE_7790" $$unsorted)) % 0.45/0.66 (define @t88 () (= (tptp.r1_isocat_1 @t2 @t87) (not (forall @t11 (or (not (tptp.m2_cat_1 @t1 @t2 @t87)) (not (tptp.v8_cat_1 @t1 @t2 @t87))))))) % 0.45/0.66 (define @t89 () (not (tptp.l1_cat_1 @t87))) % 0.45/0.66 (define @t90 () (not (tptp.v2_cat_1 @t87))) % 0.45/0.66 (define @t91 () (not @t19)) % 0.45/0.66 (define @t92 () (not @t20)) % 0.45/0.66 (define @t93 () (or @t90 @t89 @t88)) % 0.45/0.66 (define @t94 () (or @t92 @t91 @t93)) % 0.45/0.66 (define @t95 () (forall (@list @t2 @t87) @t94)) % 0.45/0.66 (define @t96 () (@list @t87)) % 0.45/0.66 (define @t97 () (forall @t96 @t94)) % 0.45/0.66 (define @t98 () (forall @t96 @t93)) % 0.45/0.66 (define @t99 () (or @t92 @t91 @t98)) % 0.45/0.66 (define @t100 () (= @t41 (not (forall @t11 (or (not @t38) (not @t37)))))) % 0.45/0.66 (define @t101 () (not @t13)) % 0.45/0.66 (define @t102 () (not @t14)) % 0.45/0.66 (define @t103 () (or @t102 @t101 @t100)) % 0.45/0.66 (define @t104 () (forall @t17 @t103)) % 0.45/0.66 (define @t105 () (or @t92 @t91 @t104)) % 0.45/0.66 (define @t106 () (or @t92 @t91)) % 0.45/0.66 (define @t107 () (not @t21)) % 0.45/0.66 (define @t108 () (or @t102 @t101)) % 0.45/0.66 (define @t109 () (not @t15)) % 0.45/0.66 (define @t110 () (forall @t11 (not @t39))) % 0.45/0.66 (define @t111 () (not @t110)) % 0.45/0.66 (define @t112 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 0.45/0.66 (define @t113 () (@var "BOUND_VARIABLE_7734" $$unsorted)) % 0.45/0.66 (define @t114 () (tptp.r1_isocat_1 (tptp.k12_nattra_1 @t2 (tptp.k11_cat_2 @t113 @t112)) (tptp.k11_cat_2 (tptp.k12_nattra_1 @t2 @t113) (tptp.k12_nattra_1 @t2 @t112)))) % 0.45/0.66 (define @t115 () (not (tptp.l1_cat_1 @t112))) % 0.45/0.66 (define @t116 () (not (tptp.v2_cat_1 @t112))) % 0.45/0.66 (define @t117 () (not (tptp.l1_cat_1 @t113))) % 0.45/0.66 (define @t118 () (not (tptp.v2_cat_1 @t113))) % 0.45/0.66 (define @t119 () (or @t92 @t91 @t118 @t117 @t116 @t115 @t114)) % 0.45/0.66 (define @t120 () (@list @t2 @t113 @t112)) % 0.45/0.66 (define @t121 () (forall @t120 @t119)) % 0.45/0.66 (define @t122 () (@quantifiers_skolemize @t121 2)) % 0.45/0.66 (define @t123 () (@quantifiers_skolemize @t121 0)) % 0.45/0.66 (define @t124 () (tptp.k12_nattra_1 @t123 @t122)) % 0.45/0.66 (define @t125 () (@quantifiers_skolemize @t121 1)) % 0.45/0.66 (define @t126 () (tptp.k12_nattra_1 @t123 @t125)) % 0.45/0.66 (define @t127 () (tptp.k11_cat_2 @t126 @t124)) % 0.45/0.66 (define @t128 () (tptp.k11_cat_2 @t125 @t122)) % 0.45/0.66 (define @t129 () (tptp.k12_nattra_1 @t123 @t128)) % 0.45/0.66 (define @t130 () (or @t92 @t91 @t102 @t101)) % 0.45/0.66 (define @t131 () (not @t60)) % 0.45/0.66 (define @t132 () (or @t118 @t117 @t116 @t115 @t114)) % 0.45/0.66 (define @t133 () (or @t92 @t91 @t132)) % 0.45/0.66 (define @t134 () (forall @t120 @t133)) % 0.45/0.66 (define @t135 () (@list @t113 @t112)) % 0.45/0.66 (define @t136 () (forall @t135 @t133)) % 0.45/0.66 (define @t137 () (forall @t135 @t132)) % 0.45/0.66 (define @t138 () (@var "BOUND_VARIABLE_7709" $$unsorted)) % 0.45/0.66 (define @t139 () (or @t92 @t91 @t137)) % 0.45/0.66 (define @t140 () (tptp.r1_isocat_1 (tptp.k12_nattra_1 @t2 (tptp.k11_cat_2 @t3 @t138)) (tptp.k11_cat_2 @t4 (tptp.k12_nattra_1 @t2 @t138)))) % 0.45/0.66 (define @t141 () (not (tptp.l1_cat_1 @t138))) % 0.45/0.66 (define @t142 () (not (tptp.v2_cat_1 @t138))) % 0.45/0.66 (define @t143 () (or @t102 @t101 @t142 @t141 @t140)) % 0.45/0.66 (define @t144 () (@list @t3 @t138)) % 0.45/0.66 (define @t145 () (forall @t144 @t143)) % 0.45/0.66 (define @t146 () (or @t92 @t91 @t145)) % 0.45/0.66 (define @t147 () (or @t142 @t141 @t140)) % 0.45/0.66 (define @t148 () (or @t102 @t101 @t147)) % 0.45/0.66 (define @t149 () (forall @t144 @t148)) % 0.45/0.66 (define @t150 () (@list @t138)) % 0.45/0.66 (define @t151 () (forall @t150 @t148)) % 0.45/0.66 (define @t152 () (forall @t150 @t147)) % 0.45/0.66 (define @t153 () (@list @t1)) % 0.45/0.66 (define @t154 () (or @t102 @t101 @t152)) % 0.45/0.66 (define @t155 () (not @t8)) % 0.45/0.66 (define @t156 () (not @t9)) % 0.45/0.66 (define @t157 () (or @t156 @t155 @t7)) % 0.45/0.66 (define @t158 () (forall @t11 @t157)) % 0.45/0.66 (define @t159 () (or @t102 @t101 @t158)) % 0.45/0.66 (define @t160 () (or @t156 @t155)) % 0.45/0.66 (define @t161 () (not @t10)) % 0.45/0.66 (define @t162 () (tptp.l1_cat_1 @t122)) % 0.45/0.66 (define @t163 () (tptp.r1_isocat_1 @t129 @t127)) % 0.45/0.66 (define @t164 () (not @t162)) % 0.45/0.66 (define @t165 () (tptp.v2_cat_1 @t122)) % 0.45/0.66 (define @t166 () (not @t165)) % 0.45/0.66 (define @t167 () (tptp.l1_cat_1 @t125)) % 0.45/0.66 (define @t168 () (not @t167)) % 0.45/0.66 (define @t169 () (tptp.v2_cat_1 @t125)) % 0.45/0.66 (define @t170 () (not @t169)) % 0.45/0.66 (define @t171 () (tptp.l1_cat_1 @t123)) % 0.45/0.66 (define @t172 () (not @t171)) % 0.45/0.66 (define @t173 () (tptp.v2_cat_1 @t123)) % 0.45/0.66 (define @t174 () (not @t173)) % 0.45/0.66 (define @t175 () (or @t174 @t172 @t170 @t168 @t166 @t164 @t163)) % 0.45/0.66 (define @t176 () (@list true)) % 0.45/0.66 (define @t177 () (@list @t175)) % 0.45/0.66 (define @t178 () (tptp.l1_cat_1 @t124)) % 0.45/0.66 (define @t179 () (tptp.v2_cat_1 @t124)) % 0.45/0.66 (define @t180 () (and (tptp.v1_cat_1 @t124) @t179 @t178)) % 0.45/0.66 (define @t181 () (or @t174 @t172 @t166 @t164 @t180)) % 0.45/0.66 (define @t182 () (@list false false false false false)) % 0.45/0.66 (define @t183 () (not @t180)) % 0.45/0.66 (define @t184 () (@list false)) % 0.45/0.66 (define @t185 () (@list @t180)) % 0.45/0.66 (define @t186 () (tptp.l1_cat_1 @t126)) % 0.45/0.66 (define @t187 () (tptp.v2_cat_1 @t126)) % 0.45/0.66 (define @t188 () (and (tptp.v1_cat_1 @t126) @t187 @t186)) % 0.45/0.66 (define @t189 () (or @t174 @t172 @t170 @t168 @t188)) % 0.45/0.66 (define @t190 () (not @t188)) % 0.45/0.66 (define @t191 () (@list @t188)) % 0.45/0.66 (define @t192 () (tptp.l1_cat_1 @t127)) % 0.45/0.66 (define @t193 () (tptp.v2_cat_1 @t127)) % 0.45/0.66 (define @t194 () (and @t193 @t192)) % 0.45/0.66 (define @t195 () (not @t178)) % 0.45/0.66 (define @t196 () (not @t179)) % 0.45/0.66 (define @t197 () (not @t186)) % 0.45/0.66 (define @t198 () (not @t187)) % 0.45/0.66 (define @t199 () (or @t198 @t197 @t196 @t195 @t194)) % 0.45/0.66 (define @t200 () (not @t194)) % 0.45/0.66 (define @t201 () (@list @t194)) % 0.45/0.66 (define @t202 () (tptp.l1_cat_1 @t128)) % 0.45/0.66 (define @t203 () (tptp.v2_cat_1 @t128)) % 0.45/0.66 (define @t204 () (and @t203 @t202)) % 0.45/0.66 (define @t205 () (or @t170 @t168 @t166 @t164 @t204)) % 0.45/0.66 (define @t206 () (not @t204)) % 0.45/0.66 (define @t207 () (@list @t204)) % 0.45/0.66 (define @t208 () (tptp.l1_cat_1 @t129)) % 0.45/0.66 (define @t209 () (tptp.v2_cat_1 @t129)) % 0.45/0.66 (define @t210 () (and (tptp.v1_cat_1 @t129) @t209 @t208)) % 0.45/0.66 (define @t211 () (not @t202)) % 0.45/0.66 (define @t212 () (not @t203)) % 0.45/0.66 (define @t213 () (or @t174 @t172 @t212 @t211 @t210)) % 0.45/0.66 (define @t214 () (not @t210)) % 0.45/0.66 (define @t215 () (@list @t210)) % 0.45/0.66 (define @t216 () (forall @t11 (or (not (tptp.m2_cat_1 @t1 @t129 @t127)) (not (tptp.v8_cat_1 @t1 @t129 @t127))))) % 0.45/0.66 (define @t217 () (not @t216)) % 0.45/0.66 (define @t218 () (= @t163 @t217)) % 0.45/0.66 (define @t219 () (not @t192)) % 0.45/0.66 (define @t220 () (not @t193)) % 0.45/0.66 (define @t221 () (not @t208)) % 0.45/0.66 (define @t222 () (not @t209)) % 0.45/0.66 (define @t223 () (or @t222 @t221 @t220 @t219 @t218)) % 0.45/0.66 (define @t224 () (not @t218)) % 0.45/0.66 (define @t225 () (@list true false)) % 0.45/0.66 (define @t226 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 0.45/0.66 (define @t227 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 0.45/0.66 (define @t228 () (tptp.v8_cat_1 (tptp.k17_isocat_2 @t2 @t227 @t226) (tptp.k12_nattra_1 @t2 (tptp.k11_cat_2 @t227 @t226)) (tptp.k11_cat_2 (tptp.k12_nattra_1 @t2 @t227) (tptp.k12_nattra_1 @t2 @t226)))) % 0.45/0.66 (define @t229 () (not (tptp.l1_cat_1 @t226))) % 0.45/0.66 (define @t230 () (not (tptp.v2_cat_1 @t226))) % 0.45/0.66 (define @t231 () (not (tptp.l1_cat_1 @t227))) % 0.45/0.66 (define @t232 () (not (tptp.v2_cat_1 @t227))) % 0.45/0.66 (define @t233 () (or @t232 @t231 @t230 @t229 @t228)) % 0.45/0.66 (define @t234 () (or @t92 @t91 @t233)) % 0.45/0.66 (define @t235 () (forall (@list @t2 @t227 @t226) @t234)) % 0.45/0.66 (define @t236 () (@list @t227 @t226)) % 0.45/0.66 (define @t237 () (forall @t236 @t234)) % 0.45/0.66 (define @t238 () (forall @t236 @t233)) % 0.45/0.66 (define @t239 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 0.45/0.66 (define @t240 () (or @t92 @t91 @t238)) % 0.45/0.66 (define @t241 () (tptp.v8_cat_1 (tptp.k17_isocat_2 @t2 @t3 @t239) (tptp.k12_nattra_1 @t2 (tptp.k11_cat_2 @t3 @t239)) (tptp.k11_cat_2 @t4 (tptp.k12_nattra_1 @t2 @t239)))) % 0.45/0.66 (define @t242 () (not (tptp.l1_cat_1 @t239))) % 0.45/0.66 (define @t243 () (not (tptp.v2_cat_1 @t239))) % 0.45/0.66 (define @t244 () (or @t102 @t101 @t243 @t242 @t241)) % 0.45/0.66 (define @t245 () (@list @t3 @t239)) % 0.45/0.66 (define @t246 () (forall @t245 @t244)) % 0.45/0.66 (define @t247 () (or @t92 @t91 @t246)) % 0.45/0.66 (define @t248 () (or @t243 @t242 @t241)) % 0.45/0.66 (define @t249 () (or @t102 @t101 @t248)) % 0.45/0.66 (define @t250 () (forall @t245 @t249)) % 0.45/0.66 (define @t251 () (@list @t239)) % 0.45/0.66 (define @t252 () (forall @t251 @t249)) % 0.45/0.66 (define @t253 () (forall @t251 @t248)) % 0.45/0.66 (define @t254 () (or @t102 @t101 @t253)) % 0.45/0.66 (define @t255 () (or @t156 @t155 @t80)) % 0.45/0.66 (define @t256 () (forall @t11 @t255)) % 0.45/0.66 (define @t257 () (or @t102 @t101 @t256)) % 0.45/0.66 (define @t258 () (@list @t123 @t125 @t122)) % 0.45/0.66 (define @t259 () (tptp.k17_isocat_2 @t123 @t125 @t122)) % 0.45/0.66 (define @t260 () (tptp.v8_cat_1 @t259 @t129 @t127)) % 0.45/0.66 (define @t261 () (or @t174 @t172 @t170 @t168 @t166 @t164 @t260)) % 0.45/0.66 (define @t262 () (@list false false false false false false false)) % 0.45/0.66 (define @t263 () (or @t92 @t91 @t102 @t101 @t156 @t155)) % 0.45/0.66 (define @t264 () (tptp.m2_cat_1 @t259 @t129 @t127)) % 0.45/0.66 (define @t265 () (or @t174 @t172 @t170 @t168 @t166 @t164 @t264)) % 0.45/0.66 (define @t266 () (not @t260)) % 0.45/0.66 (define @t267 () (not @t264)) % 0.45/0.66 (define @t268 () (or @t267 @t266)) % 0.45/0.66 (define @t269 () (not @t268)) % 0.45/0.66 (assume @p1 @t25) % 0.45/0.66 (assume @p2 (forall @t23 (=> @t19 (=> (tptp.v1_cat_1 @t2) (= @t2 (tptp.g1_cat_1 @t31 @t30 @t29 @t28 @t27 @t26)))))) % 0.45/0.66 (assume @p3 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t3 @t2))))) % 0.45/0.66 (assume @p4 (forall @t36 (=> @t35 (tptp.v1_relat_1 @t1)))) % 0.45/0.66 (assume @p5 @t46) % 0.45/0.66 (assume @p6 (forall @t57 (=> @t56 (and (tptp.v1_cat_1 @t50) (tptp.l1_cat_1 @t50))))) % 0.45/0.66 (assume @p7 @t61) % 0.45/0.66 (assume @p8 @t63) % 0.45/0.66 (assume @p9 @t67) % 0.45/0.66 (assume @p10 true) % 0.45/0.66 (assume @p11 (forall @t33 (=> @t60 (forall @t11 (=> @t38 (and @t51 (tptp.v1_funct_2 @t1 @t30 @t68) (tptp.m2_relset_1 @t1 @t30 @t68))))))) % 0.45/0.66 (assume @p12 (forall @t36 (=> @t69 @t35))) % 0.45/0.66 (assume @p13 (forall @t23 (=> @t19 (not (tptp.v1_xboole_0 @t31))))) % 0.45/0.66 (assume @p14 (forall @t23 (=> @t19 (not (tptp.v1_xboole_0 @t30))))) % 0.45/0.66 (assume @p15 (forall @t23 (=> @t19 (and (tptp.v1_funct_1 @t29) (tptp.v1_funct_2 @t29 @t30 @t31) (tptp.m2_relset_1 @t29 @t30 @t31))))) % 0.45/0.66 (assume @p16 (forall @t23 (=> @t19 (and (tptp.v1_funct_1 @t28) (tptp.v1_funct_2 @t28 @t30 @t31) (tptp.m2_relset_1 @t28 @t30 @t31))))) % 0.45/0.66 (assume @p17 (forall @t23 (=> @t19 (and (tptp.v1_funct_1 @t27) (tptp.m2_relset_1 @t27 (tptp.k2_zfmisc_1 @t30 @t30) @t30))))) % 0.45/0.66 (assume @p18 (forall @t23 (=> @t19 (and (tptp.v1_funct_1 @t26) (tptp.v1_funct_2 @t26 @t31 @t30) (tptp.m2_relset_1 @t26 @t31 @t30))))) % 0.45/0.66 (assume @p19 (exists @t23 @t19)) % 0.45/0.66 (assume @p20 (forall @t33 (exists @t11 @t70))) % 0.45/0.66 (assume @p21 (forall @t23 (exists @t17 (tptp.m1_subset_1 @t3 @t2)))) % 0.45/0.66 (assume @p22 (forall @t33 (=> @t60 (exists @t11 @t38)))) % 0.45/0.66 (assume @p23 (forall @t33 (exists @t11 @t69))) % 0.45/0.66 (assume @p24 (forall @t23 (not (tptp.v1_xboole_0 @t71)))) % 0.45/0.66 (assume @p25 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.45/0.66 (assume @p26 (forall @t33 (=> (and @t55 @t53) (not (tptp.v1_xboole_0 @t34))))) % 0.45/0.66 (assume @p27 (forall @t57 (=> @t56 (forall (@list @t77 @t76 @t75 @t74 @t73 @t72) (=> (= @t50 (tptp.g1_cat_1 @t77 @t76 @t75 @t74 @t73 @t72)) (and (= @t2 @t77) (= @t3 @t76) (= @t1 @t75) (= @t49 @t74) (= @t48 @t73) (= @t47 @t72))))))) % 0.45/0.66 (assume @p28 (forall @t23 (=> @t55 (exists @t17 (and @t78 @t53))))) % 0.45/0.66 (assume @p29 (exists @t23 @t54)) % 0.45/0.66 (assume @p30 (forall @t23 (exists @t17 (and @t78 @t52)))) % 0.45/0.66 (assume @p31 (exists @t23 @t55)) % 0.45/0.66 (assume @p32 (forall @t36 (= @t69 @t70))) % 0.45/0.66 (assume @p33 (forall @t33 (=> @t60 (tptp.r1_isocat_1 @t2 @t2)))) % 0.45/0.66 (assume @p34 (forall @t33 (tptp.r1_tarski @t2 @t2))) % 0.45/0.66 (assume @p35 (forall @t33 (=> @t60 (=> @t41 (tptp.r1_isocat_1 @t3 @t2))))) % 0.45/0.66 (assume @p36 (forall @t33 (=> @t32 @t79))) % 0.45/0.66 (assume @p37 (forall @t33 (=> @t79 (or @t52 @t32)))) % 0.45/0.66 (assume @p38 (forall @t33 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t2 @t3)))) % 0.45/0.66 (assume @p39 @t85) % 0.45/0.66 (assume @p40 (forall @t36 (=> (and @t32 @t86) (tptp.m1_subset_1 @t2 @t1)))) % 0.45/0.66 (assume @p41 (forall @t36 (not (and @t32 @t86 (tptp.v1_xboole_0 @t1))))) % 0.45/0.66 (assume @p42 (forall @t23 (=> @t54 (= @t2 tptp.k1_xboole_0)))) % 0.45/0.66 (assume @p43 (forall @t33 (not (and @t32 @t52)))) % 0.45/0.66 (assume @p44 (forall @t33 (not (and @t54 (not (= @t2 @t3)) @t52)))) % 0.45/0.66 (step @p45 :rule aci_norm :args ((= @t94 (or @t92 @t91 @t90 @t89 @t88)))) % 0.45/0.66 (step @p46 :rule cong :premises (@p45) :args (@t95)) % 0.45/0.66 (step @p47 :rule quant-merge-prenex :args ((= (forall @t23 @t97) @t95))) % 0.45/0.66 (step @p48 :rule alpha_equiv :args (@t98 (@list @t87) (@list @t3))) % 0.45/0.66 (step @p49 :rule refl :args (@t91)) % 0.45/0.66 (step @p50 :rule refl :args (@t92)) % 0.45/0.66 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t99)) % 0.45/0.66 (step @p52 :rule quant-miniscope-or :args ((= @t97 @t99))) % 0.45/0.66 (step @p53 :rule trans :premises (@p52 @p51)) % 0.45/0.66 (step @p54 :rule symm :premises (@p53)) % 0.45/0.66 (step @p55 :rule cong :premises (@p54) :args ((forall @t23 @t105))) % 0.45/0.66 (step @p56 :rule trans :premises (@p55 @p47)) % 0.45/0.66 (step @p57 :rule trans :premises (@p56 @p46)) % 0.45/0.66 (step @p58 :rule aci_norm :args ((= (or @t106 @t104) @t105))) % 0.45/0.66 (step @p59 :rule refl :args (@t104)) % 0.45/0.66 (step @p60 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.45/0.66 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t107 @t104))) % 0.45/0.66 (step @p62 :rule trans :premises (@p61 @p58)) % 0.45/0.66 (step @p63 :rule bool-impl-elim :args (@t21 @t104)) % 0.45/0.66 (step @p64 :rule trans :premises (@p63 @p62)) % 0.45/0.66 (step @p65 :rule cong :premises (@p64) :args ((forall @t23 (=> @t21 @t104)))) % 0.45/0.66 (step @p66 :rule trans :premises (@p65 @p57)) % 0.45/0.66 (step @p67 :rule aci_norm :args ((= (or @t108 @t100) @t103))) % 0.45/0.66 (step @p68 :rule refl :args (@t100)) % 0.45/0.66 (step @p69 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.45/0.66 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t109 @t100))) % 0.45/0.66 (step @p71 :rule trans :premises (@p70 @p67)) % 0.45/0.66 (step @p72 :rule bool-impl-elim :args (@t15 @t100)) % 0.45/0.66 (step @p73 :rule trans :premises (@p72 @p71)) % 0.45/0.66 (step @p74 :rule cong :premises (@p73) :args ((forall @t17 (=> @t15 @t100)))) % 0.45/0.66 (step @p75 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.45/0.66 (step @p76 :rule cong :premises (@p75) :args (@t110)) % 0.45/0.66 (step @p77 :rule cong :premises (@p76) :args (@t111)) % 0.45/0.66 (step @p78 :rule exists-elim :args ((= @t40 @t111))) % 0.45/0.66 (step @p79 :rule trans :premises (@p78 @p77)) % 0.45/0.66 (step @p80 :rule refl :args (@t41)) % 0.45/0.66 (step @p81 :rule cong :premises (@p80 @p79) :args (@t42)) % 0.45/0.66 (step @p82 :rule refl :args (@t15)) % 0.45/0.66 (step @p83 :rule cong :premises (@p82 @p81) :args (@t43)) % 0.45/0.66 (step @p84 :rule cong :premises (@p83) :args (@t44)) % 0.45/0.66 (step @p85 :rule trans :premises (@p84 @p74)) % 0.45/0.66 (step @p86 :rule refl :args (@t21)) % 0.45/0.66 (step @p87 :rule cong :premises (@p86 @p85) :args (@t45)) % 0.45/0.66 (step @p88 :rule cong :premises (@p87) :args (@t46)) % 0.45/0.66 (step @p89 :rule trans :premises (@p88 @p66)) % 0.45/0.66 (step @p90 :rule eq_resolve :premises (@p5 @p89)) % 0.45/0.66 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t129 @t127))) % 0.45/0.66 (step @p92 :rule aci_norm :args ((= (or @t130 @t59) (or @t92 @t91 @t102 @t101 @t59)))) % 0.45/0.66 (step @p93 :rule refl :args (@t59)) % 0.45/0.66 (step @p94 :rule aci_norm :args ((= (or @t92 (or @t91 @t108)) @t130))) % 0.45/0.66 (step @p95 :rule nary_cong :premises (@p49 @p69) :args ((or @t91 @t109))) % 0.45/0.66 (step @p96 :rule bool-and-de-morgan :args (@t19 @t14 (and @t13))) % 0.45/0.66 (step @p97 :rule trans :premises (@p96 @p95)) % 0.45/0.66 (step @p98 :rule nary_cong :premises (@p50 @p97) :args ((or @t92 (not (and @t19 @t14 @t13))))) % 0.45/0.66 (step @p99 :rule bool-and-de-morgan :args (@t20 @t19 (and @t14 @t13))) % 0.45/0.66 (step @p100 :rule trans :premises (@p99 @p98)) % 0.45/0.66 (step @p101 :rule trans :premises (@p100 @p94)) % 0.45/0.66 (step @p102 :rule nary_cong :premises (@p101 @p93) :args ((or @t131 @t59))) % 0.45/0.66 (step @p103 :rule trans :premises (@p102 @p92)) % 0.45/0.66 (step @p104 :rule bool-impl-elim :args (@t60 @t59)) % 0.45/0.66 (step @p105 :rule trans :premises (@p104 @p103)) % 0.45/0.66 (step @p106 :rule cong :premises (@p105) :args (@t61)) % 0.45/0.66 (step @p107 :rule eq_resolve :premises (@p7 @p106)) % 0.45/0.66 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t126 @t124))) % 0.45/0.66 (step @p109 :rule aci_norm :args ((= (or @t130 @t62) (or @t92 @t91 @t102 @t101 @t62)))) % 0.45/0.66 (step @p110 :rule refl :args (@t62)) % 0.45/0.66 (step @p111 :rule nary_cong :premises (@p101 @p110) :args ((or @t131 @t62))) % 0.45/0.66 (step @p112 :rule trans :premises (@p111 @p109)) % 0.45/0.66 (step @p113 :rule bool-impl-elim :args (@t60 @t62)) % 0.45/0.66 (step @p114 :rule trans :premises (@p113 @p112)) % 0.45/0.66 (step @p115 :rule cong :premises (@p114) :args (@t63)) % 0.45/0.66 (step @p116 :rule eq_resolve :premises (@p8 @p115)) % 0.45/0.66 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t123 @t122))) % 0.45/0.66 (step @p118 :rule aci_norm :args ((= @t133 @t119))) % 0.45/0.66 (step @p119 :rule cong :premises (@p118) :args (@t134)) % 0.45/0.66 (step @p120 :rule quant-merge-prenex :args ((= (forall @t23 @t136) @t134))) % 0.45/0.66 (step @p121 :rule alpha_equiv :args (@t137 (@list @t113 @t112) 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@p340 :rule trans :premises (@p339 @p338)) % 0.45/0.66 (step @p341 :rule nary_cong :premises (@p50 @p340) :args ((or @t92 (not (and @t19 @t14 @t13 @t9 @t8))))) % 0.45/0.66 (step @p342 :rule bool-and-de-morgan :args (@t20 @t19 (and @t14 @t13 @t9 @t8))) % 0.45/0.66 (step @p343 :rule trans :premises (@p342 @p341)) % 0.45/0.66 (step @p344 :rule trans :premises (@p343 @p331)) % 0.45/0.66 (step @p345 :rule nary_cong :premises (@p344 @p330) :args ((or (not @t66) @t65))) % 0.45/0.66 (step @p346 :rule trans :premises (@p345 @p329)) % 0.45/0.66 (step @p347 :rule bool-impl-elim :args (@t66 @t65)) % 0.45/0.66 (step @p348 :rule trans :premises (@p347 @p346)) % 0.45/0.66 (step @p349 :rule cong :premises (@p348) :args (@t67)) % 0.45/0.66 (step @p350 :rule eq_resolve :premises (@p9 @p349)) % 0.45/0.66 (step @p351 :rule instantiate :premises (@p350) :args (@t258)) % 0.45/0.66 (step @p352 :rule cnf_or_pos :args (@t265)) % 0.45/0.66 (step @p353 :rule reordering :premises (@p352) :args ((or @t174 @t172 @t170 @t168 @t166 @t164 @t264 (not @t265)))) % 0.45/0.66 (step @p354 :rule chain_m_resolution :premises (@p353 @p199 @p193 @p221 @p215 @p187 @p181 @p351) :args (@t264 @t262 (@list @t173 @t171 @t169 @t167 @t165 @t162 @t265))) % 0.45/0.66 (step @p355 :rule cnf_or_pos :args (@t268)) % 0.45/0.66 (step @p356 :rule reordering :premises (@p355) :args ((or @t267 @t266 @t269))) % 0.45/0.66 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p328) :args (@t269 (@list false false) (@list @t264 @t260))) % 0.45/0.66 (assume-push @p364 @t216) % 0.45/0.66 (step @p359 :rule instantiate :premises (@p272) :args ((@list @t259))) % 0.45/0.66 (step-pop @p365 :rule scope :premises (@p359)) % 0.45/0.66 (step @p360 :rule process_scope :premises (@p365) :args (@t268)) % 0.45/0.66 (step @p362 :rule implies_elim :premises (@p360)) % 0.45/0.66 (step @p363 false :rule chain_m_resolution :premises (@p362 @p357 @p272) :args (false @t225 (@list @t268 @t216))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------