%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT033+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT033+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 03:04:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k2_ens_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.46/0.66 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k12_ens_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.u5_cat_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.u4_cat_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k17_ens_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.u3_cat_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k1_yoneda_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.u6_cat_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k20_ens_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_cat_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.u1_cat_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.l1_cat_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.u2_cat_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.m2_cat_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v2_cat_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.g1_cat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.66 (define @t2 () (tptp.k1_yoneda_1 @t1)) % 0.46/0.66 (define @t3 () (@var "B" $$unsorted)) % 0.46/0.66 (define @t4 () (tptp.k20_ens_1 @t1 @t3)) % 0.46/0.66 (define @t5 () (tptp.m2_cat_1 @t4 @t1 @t2)) % 0.46/0.66 (define @t6 () (tptp.u1_cat_1 @t1)) % 0.46/0.66 (define @t7 () (tptp.m1_subset_1 @t3 @t6)) % 0.46/0.66 (define @t8 () (@list @t3)) % 0.46/0.66 (define @t9 () (forall @t8 (=> @t7 @t5))) % 0.46/0.66 (define @t10 () (tptp.l1_cat_1 @t1)) % 0.46/0.66 (define @t11 () (tptp.v2_cat_1 @t1)) % 0.46/0.66 (define @t12 () (and @t11 @t10)) % 0.46/0.66 (define @t13 () (=> @t12 @t9)) % 0.46/0.66 (define @t14 () (@list @t1)) % 0.46/0.66 (define @t15 () (forall @t14 @t13)) % 0.46/0.66 (define @t16 () (not @t15)) % 0.46/0.66 (define @t17 () (tptp.v1_funct_1 @t1)) % 0.46/0.66 (define @t18 () (tptp.v1_relat_1 @t1)) % 0.46/0.66 (define @t19 () (and @t18 @t17 (tptp.v2_funct_1 @t1))) % 0.46/0.66 (define @t20 () (tptp.v1_xboole_0 @t1)) % 0.46/0.66 (define @t21 () (and @t18 @t20 @t17)) % 0.46/0.66 (define @t22 () (@var "L" $$unsorted)) % 0.46/0.66 (define @t23 () (@var "F" $$unsorted)) % 0.46/0.66 (define @t24 () (@var "K" $$unsorted)) % 0.46/0.66 (define @t25 () (@var "E" $$unsorted)) % 0.46/0.66 (define @t26 () (@var "J" $$unsorted)) % 0.46/0.66 (define @t27 () (@var "D" $$unsorted)) % 0.46/0.66 (define @t28 () (@var "I" $$unsorted)) % 0.46/0.66 (define @t29 () (@var "C" $$unsorted)) % 0.46/0.66 (define @t30 () (@var "H" $$unsorted)) % 0.46/0.66 (define @t31 () (@var "G" $$unsorted)) % 0.46/0.66 (define @t32 () (tptp.g1_cat_1 @t1 @t3 @t29 @t27 @t25 @t23)) % 0.46/0.66 (define @t33 () (tptp.v1_funct_1 @t29)) % 0.46/0.66 (define @t34 () (tptp.v1_xboole_0 @t3)) % 0.46/0.66 (define @t35 () (not @t20)) % 0.46/0.66 (define @t36 () (and @t35 (not @t34) @t33 (tptp.v1_funct_2 @t29 @t3 @t1) (tptp.m1_relset_1 @t29 @t3 @t1) (tptp.v1_funct_1 @t27) (tptp.v1_funct_2 @t27 @t3 @t1) (tptp.m1_relset_1 @t27 @t3 @t1) (tptp.v1_funct_1 @t25) (tptp.m1_relset_1 @t25 (tptp.k2_zfmisc_1 @t3 @t3) @t3) (tptp.v1_funct_1 @t23) (tptp.v1_funct_2 @t23 @t1 @t3) (tptp.m1_relset_1 @t23 @t1 @t3))) % 0.46/0.66 (define @t37 () (@list @t1 @t3 @t29 @t27 @t25 @t23)) % 0.46/0.66 (define @t38 () (tptp.m1_relset_1 @t29 @t1 @t3)) % 0.46/0.66 (define @t39 () (@list @t29)) % 0.46/0.66 (define @t40 () (@list @t1 @t3)) % 0.46/0.66 (define @t41 () (tptp.u2_cat_1 @t1)) % 0.46/0.66 (define @t42 () (tptp.u3_cat_1 @t1)) % 0.46/0.66 (define @t43 () (tptp.u4_cat_1 @t1)) % 0.46/0.66 (define @t44 () (tptp.u5_cat_1 @t1)) % 0.46/0.66 (define @t45 () (tptp.u6_cat_1 @t1)) % 0.46/0.66 (define @t46 () (tptp.m1_subset_1 @t29 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t3)))) % 0.46/0.66 (define @t47 () (@list @t1 @t3 @t29)) % 0.46/0.66 (define @t48 () (tptp.r2_hidden @t1 @t3)) % 0.46/0.66 (define @t49 () (tptp.m2_relset_1 @t29 @t1 @t3)) % 0.46/0.66 (define @t50 () (tptp.m1_subset_1 @t1 @t3)) % 0.46/0.66 (define @t51 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t29))) % 0.46/0.66 (define @t52 () (tptp.r1_tarski @t1 @t1)) % 0.46/0.66 (define @t53 () (forall @t40 @t52)) % 0.46/0.66 (define @t54 () (tptp.m2_cat_1 @t29 @t1 @t3)) % 0.46/0.66 (define @t55 () (tptp.l1_cat_1 @t3)) % 0.46/0.66 (define @t56 () (tptp.v2_cat_1 @t3)) % 0.46/0.66 (define @t57 () (and @t11 @t10 @t56 @t55)) % 0.46/0.66 (define @t58 () (tptp.k12_ens_1 @t1)) % 0.46/0.66 (define @t59 () (tptp.k17_ens_1 @t1)) % 0.46/0.66 (define @t60 () (tptp.k2_ens_1 @t59)) % 0.46/0.66 (define @t61 () (tptp.u2_cat_1 @t3)) % 0.46/0.66 (define @t62 () (not (tptp.v1_xboole_0 @t59))) % 0.46/0.66 (define @t63 () (forall @t14 (=> @t12 @t62))) % 0.46/0.66 (define @t64 () (= @t2 (tptp.k12_ens_1 @t59))) % 0.46/0.66 (define @t65 () (forall @t14 (=> @t12 @t64))) % 0.46/0.66 (define @t66 () (tptp.m2_cat_1 (tptp.k20_ens_1 @t3 @t29) @t3 @t58)) % 0.46/0.66 (define @t67 () (tptp.r1_tarski (tptp.k17_ens_1 @t3) @t1)) % 0.46/0.66 (define @t68 () (=> @t67 @t66)) % 0.46/0.66 (define @t69 () (tptp.u1_cat_1 @t3)) % 0.46/0.66 (define @t70 () (tptp.m1_subset_1 @t29 @t69)) % 0.46/0.66 (define @t71 () (forall @t39 (=> @t70 @t68))) % 0.46/0.66 (define @t72 () (and @t56 @t55)) % 0.46/0.66 (define @t73 () (=> @t72 @t71)) % 0.46/0.66 (define @t74 () (forall @t8 @t73)) % 0.46/0.66 (define @t75 () (=> @t35 @t74)) % 0.46/0.66 (define @t76 () (forall @t14 @t75)) % 0.46/0.66 (define @t77 () (forall @t14 @t52)) % 0.46/0.66 (define @t78 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 0.46/0.66 (define @t79 () (@var "BOUND_VARIABLE_7980" $$unsorted)) % 0.46/0.66 (define @t80 () (tptp.m2_cat_1 (tptp.k20_ens_1 @t78 @t79) @t78 @t58)) % 0.46/0.66 (define @t81 () (not (tptp.m1_subset_1 @t79 (tptp.u1_cat_1 @t78)))) % 0.46/0.66 (define @t82 () (not (tptp.r1_tarski (tptp.k17_ens_1 @t78) @t1))) % 0.46/0.66 (define @t83 () (not (tptp.l1_cat_1 @t78))) % 0.46/0.66 (define @t84 () (not (tptp.v2_cat_1 @t78))) % 0.46/0.66 (define @t85 () (or @t84 @t83 @t82 @t81 @t80)) % 0.46/0.66 (define @t86 () (or @t20 @t85)) % 0.46/0.66 (define @t87 () (forall (@list @t1 @t78 @t79) @t86)) % 0.46/0.66 (define @t88 () (@list @t78 @t79)) % 0.46/0.66 (define @t89 () (forall @t88 @t86)) % 0.46/0.66 (define @t90 () (forall @t88 @t85)) % 0.46/0.66 (define @t91 () (@var "BOUND_VARIABLE_7962" $$unsorted)) % 0.46/0.66 (define @t92 () (or @t20 @t90)) % 0.46/0.66 (define @t93 () (tptp.m2_cat_1 (tptp.k20_ens_1 @t3 @t91) @t3 @t58)) % 0.46/0.66 (define @t94 () (not (tptp.m1_subset_1 @t91 @t69))) % 0.46/0.66 (define @t95 () (not @t67)) % 0.46/0.66 (define @t96 () (not @t55)) % 0.46/0.66 (define @t97 () (not @t56)) % 0.46/0.66 (define @t98 () (or @t97 @t96 @t95 @t94 @t93)) % 0.46/0.66 (define @t99 () (@list @t3 @t91)) % 0.46/0.66 (define @t100 () (forall @t99 @t98)) % 0.46/0.66 (define @t101 () (or @t94 @t93)) % 0.46/0.66 (define @t102 () (or @t97 @t96 @t95 @t101)) % 0.46/0.66 (define @t103 () (forall @t99 @t102)) % 0.46/0.66 (define @t104 () (@list @t91)) % 0.46/0.66 (define @t105 () (forall @t104 @t102)) % 0.46/0.66 (define @t106 () (forall @t104 @t101)) % 0.46/0.66 (define @t107 () (or @t97 @t96 @t95 @t106)) % 0.46/0.66 (define @t108 () (not @t70)) % 0.46/0.66 (define @t109 () (or @t108 @t66)) % 0.46/0.66 (define @t110 () (forall @t39 @t109)) % 0.46/0.66 (define @t111 () (or @t97 @t96 @t95 @t110)) % 0.46/0.66 (define @t112 () (or @t95 @t110)) % 0.46/0.66 (define @t113 () (or @t95 @t109)) % 0.46/0.66 (define @t114 () (or @t108 @t95 @t66)) % 0.46/0.66 (define @t115 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 0.46/0.66 (define @t116 () (tptp.m2_cat_1 (tptp.k20_ens_1 @t1 @t115) @t1 @t2)) % 0.46/0.66 (define @t117 () (not (tptp.m1_subset_1 @t115 @t6))) % 0.46/0.66 (define @t118 () (not @t10)) % 0.46/0.66 (define @t119 () (not @t11)) % 0.46/0.66 (define @t120 () (or @t119 @t118 @t117 @t116)) % 0.46/0.66 (define @t121 () (@list @t1 @t115)) % 0.46/0.66 (define @t122 () (forall @t121 @t120)) % 0.46/0.66 (define @t123 () (@quantifiers_skolemize @t122 1)) % 0.46/0.66 (define @t124 () (@quantifiers_skolemize @t122 0)) % 0.46/0.66 (define @t125 () (tptp.k17_ens_1 @t124)) % 0.46/0.66 (define @t126 () (or @t117 @t116)) % 0.46/0.66 (define @t127 () (or @t119 @t118 @t126)) % 0.46/0.66 (define @t128 () (forall @t121 @t127)) % 0.46/0.66 (define @t129 () (@list @t115)) % 0.46/0.66 (define @t130 () (forall @t129 @t127)) % 0.46/0.66 (define @t131 () (forall @t129 @t126)) % 0.46/0.66 (define @t132 () (or @t119 @t118 @t131)) % 0.46/0.66 (define @t133 () (forall @t8 (or (not @t7) @t5))) % 0.46/0.66 (define @t134 () (or @t119 @t118 @t133)) % 0.46/0.66 (define @t135 () (or @t119 @t118)) % 0.46/0.66 (define @t136 () (not @t12)) % 0.46/0.66 (define @t137 () (tptp.k1_yoneda_1 @t124)) % 0.46/0.66 (define @t138 () (tptp.k20_ens_1 @t124 @t123)) % 0.46/0.66 (define @t139 () (tptp.m2_cat_1 @t138 @t124 @t137)) % 0.46/0.66 (define @t140 () (tptp.m1_subset_1 @t123 (tptp.u1_cat_1 @t124))) % 0.46/0.66 (define @t141 () (not @t140)) % 0.46/0.66 (define @t142 () (tptp.l1_cat_1 @t124)) % 0.46/0.66 (define @t143 () (not @t142)) % 0.46/0.66 (define @t144 () (tptp.v2_cat_1 @t124)) % 0.46/0.66 (define @t145 () (not @t144)) % 0.46/0.66 (define @t146 () (or @t145 @t143 @t141 @t139)) % 0.46/0.66 (define @t147 () (@list true)) % 0.46/0.66 (define @t148 () (@list @t146)) % 0.46/0.66 (define @t149 () (@list @t124)) % 0.46/0.66 (define @t150 () (tptp.k12_ens_1 @t125)) % 0.46/0.66 (define @t151 () (= @t137 @t150)) % 0.46/0.66 (define @t152 () (or @t145 @t143 @t151)) % 0.46/0.66 (define @t153 () (@list false false false)) % 0.46/0.66 (define @t154 () (tptp.m2_cat_1 @t138 @t124 @t150)) % 0.46/0.66 (define @t155 () (tptp.v1_xboole_0 @t125)) % 0.46/0.66 (define @t156 () (not @t155)) % 0.46/0.66 (define @t157 () (or @t145 @t143 @t156)) % 0.46/0.66 (define @t158 () (tptp.r1_tarski @t125 @t125)) % 0.46/0.66 (define @t159 () (not @t158)) % 0.46/0.66 (define @t160 () (or @t155 @t145 @t143 @t159 @t141 @t154)) % 0.46/0.66 (assume @p1 @t16) % 0.46/0.66 (assume @p2 (exists @t14 @t19)) % 0.46/0.66 (assume @p3 (forall @t14 (=> @t21 @t19))) % 0.46/0.66 (assume @p4 (exists @t14 (and @t18 @t17))) % 0.46/0.66 (assume @p5 (exists @t14 @t21)) % 0.46/0.66 (assume @p6 (forall @t37 (=> @t36 (forall (@list @t31 @t30 @t28 @t26 @t24 @t22) (=> (= @t32 (tptp.g1_cat_1 @t31 @t30 @t28 @t26 @t24 @t22)) (and (= @t1 @t31) (= @t3 @t30) (= @t29 @t28) (= @t27 @t26) (= @t25 @t24) (= @t23 @t22))))))) % 0.46/0.66 (assume @p7 (forall @t40 (exists @t39 @t38))) % 0.46/0.66 (assume @p8 (forall @t37 (=> @t36 (and (tptp.v1_cat_1 @t32) (tptp.l1_cat_1 @t32))))) % 0.46/0.66 (assume @p9 true) % 0.46/0.66 (assume @p10 (forall @t14 (=> @t10 (and (tptp.v1_funct_1 @t42) (tptp.v1_funct_2 @t42 @t41 @t6) (tptp.m2_relset_1 @t42 @t41 @t6))))) % 0.46/0.66 (assume @p11 (forall @t14 (=> @t10 (and (tptp.v1_funct_1 @t43) (tptp.v1_funct_2 @t43 @t41 @t6) (tptp.m2_relset_1 @t43 @t41 @t6))))) % 0.46/0.66 (assume @p12 (forall @t14 (=> @t10 (and (tptp.v1_funct_1 @t44) (tptp.m2_relset_1 @t44 (tptp.k2_zfmisc_1 @t41 @t41) @t41))))) % 0.46/0.66 (assume @p13 (forall @t14 (=> @t10 (and (tptp.v1_funct_1 @t45) (tptp.v1_funct_2 @t45 @t6 @t41) (tptp.m2_relset_1 @t45 @t6 @t41))))) % 0.46/0.66 (assume @p14 (forall @t47 (=> @t46 (tptp.v1_relat_1 @t29)))) % 0.46/0.66 (assume @p15 (forall @t40 (=> @t48 (not (tptp.r2_hidden @t3 @t1))))) % 0.46/0.66 (assume @p16 (forall @t14 (=> @t10 (=> (tptp.v1_cat_1 @t1) (= @t1 (tptp.g1_cat_1 @t6 @t41 @t42 @t43 @t44 @t45)))))) % 0.46/0.66 (assume @p17 (forall @t40 (exists @t39 @t49))) % 0.46/0.66 (assume @p18 (forall @t47 (= @t49 @t38))) % 0.46/0.66 (assume @p19 (forall @t47 (=> @t49 @t46))) % 0.46/0.66 (assume @p20 (forall @t14 (=> @t10 (not (tptp.v1_xboole_0 @t41))))) % 0.46/0.66 (assume @p21 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.46/0.66 (assume @p22 (forall @t14 (=> @t35 (not (tptp.v1_xboole_0 (tptp.k2_ens_1 @t1)))))) % 0.46/0.66 (assume @p23 (forall @t40 (=> @t48 @t50))) % 0.46/0.66 (assume @p24 (forall @t47 (=> (and @t48 @t51) (tptp.m1_subset_1 @t1 @t29)))) % 0.46/0.66 (assume @p25 (forall @t47 (not (and @t48 @t51 (tptp.v1_xboole_0 @t29))))) % 0.46/0.66 (assume @p26 (forall @t40 (not (and @t20 (not (= @t1 @t3)) @t34)))) % 0.46/0.66 (assume @p27 @t53) % 0.46/0.66 (assume @p28 (exists @t14 @t10)) % 0.46/0.66 (assume @p29 (forall @t14 (exists @t8 (tptp.m1_subset_1 @t3 @t1)))) % 0.46/0.66 (assume @p30 (forall @t40 (=> @t57 (exists @t39 @t54)))) % 0.46/0.66 (assume @p31 (forall @t14 (=> @t35 (tptp.l1_cat_1 @t58)))) % 0.46/0.66 (assume @p32 (forall @t14 (=> @t12 (and (tptp.v2_cat_1 @t2) (tptp.l1_cat_1 @t2))))) % 0.46/0.66 (assume @p33 (forall @t40 (=> (and @t11 @t10 @t7) (and (tptp.v1_funct_1 @t4) (tptp.v1_funct_2 @t4 @t41 @t60) (tptp.m2_relset_1 @t4 @t41 @t60))))) % 0.46/0.66 (assume @p34 (forall @t40 (=> @t57 (forall @t39 (=> @t54 (and @t33 (tptp.v1_funct_2 @t29 @t41 @t61) (tptp.m2_relset_1 @t29 @t41 @t61))))))) % 0.46/0.66 (assume @p35 (forall @t14 (=> @t10 (not (tptp.v1_xboole_0 @t6))))) % 0.46/0.66 (assume @p36 (forall @t14 (=> @t20 @t17))) % 0.46/0.66 (assume @p37 (forall @t14 (=> @t35 (and (tptp.v1_cat_1 @t58) (tptp.v2_cat_1 @t58))))) % 0.46/0.66 (assume @p38 @t63) % 0.46/0.66 (assume @p39 (exists @t14 @t20)) % 0.46/0.66 (assume @p40 (exists @t14 @t35)) % 0.46/0.66 (assume @p41 (forall @t40 (=> @t50 (or @t34 @t48)))) % 0.46/0.66 (assume @p42 (forall @t40 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t1 @t3)))) % 0.46/0.66 (assume @p43 (forall @t14 (=> @t20 (= @t1 tptp.k1_xboole_0)))) % 0.46/0.66 (assume @p44 (forall @t40 (not (and @t48 @t34)))) % 0.46/0.66 (assume @p45 @t65) % 0.46/0.66 (assume @p46 @t76) % 0.46/0.66 (step @p47 :rule quant-unused-vars :args ((= @t53 @t77))) % 0.46/0.66 (step @p48 :rule eq_resolve :premises (@p27 @p47)) % 0.46/0.66 (step @p49 :rule aci_norm :args ((= @t86 (or @t20 @t84 @t83 @t82 @t81 @t80)))) % 0.46/0.66 (step @p50 :rule cong :premises (@p49) :args (@t87)) % 0.46/0.66 (step @p51 :rule quant-merge-prenex :args ((= (forall @t14 @t89) @t87))) % 0.46/0.66 (step @p52 :rule alpha_equiv :args (@t90 (@list @t78 @t79) (@list @t3 @t91))) % 0.46/0.66 (step @p53 :rule refl :args (@t20)) % 0.46/0.66 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t92)) % 0.46/0.66 (step @p55 :rule quant-miniscope-or :args ((= @t89 @t92))) % 0.46/0.66 (step @p56 :rule trans :premises (@p55 @p54)) % 0.46/0.66 (step @p57 :rule symm :premises (@p56)) % 0.46/0.66 (step @p58 :rule cong :premises (@p57) :args ((forall @t14 (or @t20 @t100)))) % 0.46/0.66 (step @p59 :rule trans :premises (@p58 @p51)) % 0.46/0.66 (step @p60 :rule trans :premises (@p59 @p50)) % 0.46/0.66 (step @p61 :rule refl :args (@t100)) % 0.46/0.66 (step @p62 :rule bool-double-not-elim :args (@t20)) % 0.46/0.66 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t35) @t100))) % 0.46/0.66 (step @p64 :rule bool-impl-elim :args (@t35 @t100)) % 0.46/0.66 (step @p65 :rule trans :premises (@p64 @p63)) % 0.46/0.66 (step @p66 :rule cong :premises (@p65) :args ((forall @t14 (=> @t35 @t100)))) % 0.46/0.66 (step @p67 :rule trans :premises (@p66 @p60)) % 0.46/0.66 (step @p68 :rule aci_norm :args ((= @t102 @t98))) % 0.46/0.66 (step @p69 :rule cong :premises (@p68) :args (@t103)) % 0.46/0.66 (step @p70 :rule quant-merge-prenex :args ((= (forall @t8 @t105) @t103))) % 0.46/0.66 (step @p71 :rule alpha_equiv :args (@t106 (@list @t91) (@list @t29))) % 0.46/0.66 (step @p72 :rule refl :args (@t95)) % 0.46/0.66 (step @p73 :rule refl :args (@t96)) % 0.46/0.66 (step @p74 :rule refl :args (@t97)) % 0.46/0.66 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71) :args (@t107)) % 0.46/0.66 (step @p76 :rule quant-miniscope-or :args ((= @t105 @t107))) % 0.46/0.66 (step @p77 :rule trans :premises (@p76 @p75)) % 0.46/0.66 (step @p78 :rule symm :premises (@p77)) % 0.46/0.66 (step @p79 :rule cong :premises (@p78) :args ((forall @t8 @t111))) % 0.46/0.66 (step @p80 :rule trans :premises (@p79 @p70)) % 0.46/0.66 (step @p81 :rule trans :premises (@p80 @p69)) % 0.46/0.66 (step @p82 :rule aci_norm :args ((= (or (or @t97 @t96) @t112) @t111))) % 0.46/0.66 (step @p83 :rule refl :args (@t112)) % 0.46/0.66 (step @p84 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 0.46/0.66 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t72) @t112))) % 0.46/0.66 (step @p86 :rule trans :premises (@p85 @p82)) % 0.46/0.66 (step @p87 :rule bool-impl-elim :args (@t72 @t112)) % 0.46/0.66 (step @p88 :rule trans :premises (@p87 @p86)) % 0.46/0.66 (step @p89 :rule cong :premises (@p88) :args ((forall @t8 (=> @t72 @t112)))) % 0.46/0.66 (step @p90 :rule trans :premises (@p89 @p81)) % 0.46/0.66 (step @p91 :rule quant-miniscope-or :args ((= (forall @t39 @t113) @t112))) % 0.46/0.66 (step @p92 :rule aci_norm :args ((= @t114 @t113))) % 0.46/0.66 (step @p93 :rule cong :premises (@p92) :args ((forall @t39 @t114))) % 0.46/0.66 (step @p94 :rule trans :premises (@p93 @p91)) % 0.46/0.66 (step @p95 :rule aci_norm :args ((= (or @t108 (or @t95 @t66)) @t114))) % 0.46/0.66 (step @p96 :rule bool-impl-elim :args (@t67 @t66)) % 0.46/0.66 (step @p97 :rule refl :args (@t108)) % 0.46/0.66 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t108 @t68))) % 0.46/0.66 (step @p99 :rule trans :premises (@p98 @p95)) % 0.46/0.66 (step @p100 :rule bool-impl-elim :args (@t70 @t68)) % 0.46/0.66 (step @p101 :rule trans :premises (@p100 @p99)) % 0.46/0.66 (step @p102 :rule cong :premises (@p101) :args (@t71)) % 0.46/0.66 (step @p103 :rule trans :premises (@p102 @p94)) % 0.46/0.66 (step @p104 :rule refl :args (@t72)) % 0.46/0.66 (step @p105 :rule cong :premises (@p104 @p103) :args (@t73)) % 0.46/0.66 (step @p106 :rule cong :premises (@p105) :args (@t74)) % 0.46/0.66 (step @p107 :rule trans :premises (@p106 @p90)) % 0.46/0.66 (step @p108 :rule refl :args (@t35)) % 0.46/0.66 (step @p109 :rule cong :premises (@p108 @p107) :args (@t75)) % 0.46/0.66 (step @p110 :rule cong :premises (@p109) :args (@t76)) % 0.46/0.66 (step @p111 :rule trans :premises (@p110 @p67)) % 0.46/0.66 (step @p112 :rule eq_resolve :premises (@p46 @p111)) % 0.46/0.66 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t125 @t124 @t123))) % 0.46/0.66 (step @p114 :rule aci_norm :args ((= @t127 @t120))) % 0.46/0.66 (step @p115 :rule cong :premises (@p114) :args (@t128)) % 0.46/0.66 (step @p116 :rule quant-merge-prenex :args ((= (forall @t14 @t130) @t128))) % 0.46/0.66 (step @p117 :rule alpha_equiv :args (@t131 (@list @t115) (@list @t3))) % 0.46/0.66 (step @p118 :rule refl :args (@t118)) % 0.46/0.66 (step @p119 :rule refl :args (@t119)) % 0.46/0.66 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t132)) % 0.46/0.66 (step @p121 :rule quant-miniscope-or :args ((= @t130 @t132))) % 0.46/0.66 (step @p122 :rule trans :premises (@p121 @p120)) % 0.46/0.66 (step @p123 :rule symm :premises (@p122)) % 0.46/0.66 (step @p124 :rule cong :premises (@p123) :args ((forall @t14 @t134))) % 0.46/0.66 (step @p125 :rule trans :premises (@p124 @p116)) % 0.46/0.66 (step @p126 :rule trans :premises (@p125 @p115)) % 0.46/0.66 (step @p127 :rule aci_norm :args ((= (or @t135 @t133) @t134))) % 0.46/0.66 (step @p128 :rule refl :args (@t133)) % 0.46/0.66 (step @p129 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.46/0.66 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t136 @t133))) % 0.46/0.66 (step @p131 :rule trans :premises (@p130 @p127)) % 0.46/0.66 (step @p132 :rule bool-impl-elim :args (@t12 @t133)) % 0.46/0.66 (step @p133 :rule trans :premises (@p132 @p131)) % 0.46/0.66 (step @p134 :rule cong :premises (@p133) :args ((forall @t14 (=> @t12 @t133)))) % 0.46/0.66 (step @p135 :rule trans :premises (@p134 @p126)) % 0.46/0.66 (step @p136 :rule bool-impl-elim :args (@t7 @t5)) % 0.46/0.66 (step @p137 :rule cong :premises (@p136) :args (@t9)) % 0.46/0.66 (step @p138 :rule refl :args (@t12)) % 0.46/0.66 (step @p139 :rule cong :premises (@p138 @p137) :args (@t13)) % 0.46/0.66 (step @p140 :rule cong :premises (@p139) :args (@t15)) % 0.46/0.66 (step @p141 :rule trans :premises (@p140 @p135)) % 0.46/0.66 (step @p142 :rule cong :premises (@p141) :args (@t16)) % 0.46/0.66 (step @p143 :rule eq_resolve :premises (@p1 @p142)) % 0.46/0.66 (step @p144 :rule skolemize :premises (@p143)) % 0.46/0.66 (step @p145 :rule cnf_or_neg :args (@t146 3)) % 0.46/0.66 (step @p146 :rule chain_m_resolution :premises (@p145 @p144) :args ((not @t139) @t147 @t148)) % 0.46/0.66 (step @p147 :rule false_intro :premises (@p146)) % 0.46/0.66 (step @p148 :rule aci_norm :args ((= (or @t135 @t64) (or @t119 @t118 @t64)))) % 0.46/0.66 (step @p149 :rule refl :args (@t64)) % 0.46/0.66 (step @p150 :rule nary_cong :premises (@p129 @p149) :args ((or @t136 @t64))) % 0.46/0.66 (step @p151 :rule trans :premises (@p150 @p148)) % 0.46/0.66 (step @p152 :rule bool-impl-elim :args (@t12 @t64)) % 0.46/0.66 (step @p153 :rule trans :premises (@p152 @p151)) % 0.46/0.66 (step @p154 :rule cong :premises (@p153) :args (@t65)) % 0.46/0.66 (step @p155 :rule eq_resolve :premises (@p45 @p154)) % 0.46/0.66 (step @p156 :rule instantiate :premises (@p155) :args (@t149)) % 0.46/0.66 (step @p157 :rule bool-double-not-elim :args (@t142)) % 0.46/0.66 (step @p158 :rule refl :args (@t146)) % 0.46/0.66 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t146 (not @t143)))) % 0.46/0.66 (step @p160 :rule cnf_or_neg :args (@t146 1)) % 0.46/0.66 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.46/0.66 (step @p162 :rule reordering :premises (@p161) :args ((or @t142 @t146))) % 0.46/0.66 (step @p163 :rule chain_m_resolution :premises (@p162 @p144) :args (@t142 @t147 @t148)) % 0.46/0.66 (step @p164 :rule bool-double-not-elim :args (@t144)) % 0.46/0.66 (step @p165 :rule nary_cong :premises (@p158 @p164) :args ((or @t146 (not @t145)))) % 0.46/0.66 (step @p166 :rule cnf_or_neg :args (@t146 0)) % 0.46/0.66 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.46/0.66 (step @p168 :rule reordering :premises (@p167) :args ((or @t144 @t146))) % 0.46/0.66 (step @p169 :rule chain_m_resolution :premises (@p168 @p144) :args (@t144 @t147 @t148)) % 0.46/0.66 (step @p170 :rule cnf_or_pos :args (@t152)) % 0.46/0.66 (step @p171 :rule reordering :premises (@p170) :args ((or @t145 @t143 @t151 (not @t152)))) % 0.46/0.66 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p163 @p156) :args (@t151 @t153 (@list @t144 @t142 @t152))) % 0.46/0.66 (step @p173 :rule symm :premises (@p172)) % 0.46/0.66 (step @p174 :rule refl :args (@t124)) % 0.46/0.66 (step @p175 :rule refl :args (@t138)) % 0.46/0.66 (step @p176 :rule cong :premises (@p175 @p174 @p173) :args (@t154)) % 0.46/0.66 (step @p177 :rule trans :premises (@p176 @p147)) % 0.46/0.66 (step @p178 :rule false_elim :premises (@p177)) % 0.46/0.66 (step @p179 :rule aci_norm :args ((= (or @t135 @t62) (or @t119 @t118 @t62)))) % 0.46/0.66 (step @p180 :rule refl :args (@t62)) % 0.46/0.66 (step @p181 :rule nary_cong :premises (@p129 @p180) :args ((or @t136 @t62))) % 0.46/0.66 (step @p182 :rule trans :premises (@p181 @p179)) % 0.46/0.66 (step @p183 :rule bool-impl-elim :args (@t12 @t62)) % 0.46/0.66 (step @p184 :rule trans :premises (@p183 @p182)) % 0.46/0.66 (step @p185 :rule cong :premises (@p184) :args (@t63)) % 0.46/0.66 (step @p186 :rule eq_resolve :premises (@p38 @p185)) % 0.46/0.66 (step @p187 :rule instantiate :premises (@p186) :args (@t149)) % 0.46/0.66 (step @p188 :rule cnf_or_pos :args (@t157)) % 0.46/0.66 (step @p189 :rule reordering :premises (@p188) :args ((or @t145 @t143 @t156 (not @t157)))) % 0.46/0.66 (step @p190 :rule chain_m_resolution :premises (@p189 @p169 @p163 @p187) :args (@t156 @t153 (@list @t144 @t142 @t157))) % 0.46/0.66 (step @p191 :rule bool-double-not-elim :args (@t140)) % 0.46/0.66 (step @p192 :rule nary_cong :premises (@p158 @p191) :args ((or @t146 (not @t141)))) % 0.46/0.66 (step @p193 :rule cnf_or_neg :args (@t146 2)) % 0.46/0.66 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.46/0.66 (step @p195 :rule reordering :premises (@p194) :args ((or @t140 @t146))) % 0.46/0.66 (step @p196 :rule chain_m_resolution :premises (@p195 @p144) :args (@t140 @t147 @t148)) % 0.46/0.66 (step @p197 :rule cnf_or_pos :args (@t160)) % 0.46/0.66 (step @p198 :rule reordering :premises (@p197) :args ((or @t145 @t143 @t141 @t155 @t159 @t154 (not @t160)))) % 0.46/0.66 (step @p199 :rule chain_m_resolution :premises (@p198 @p169 @p163 @p196 @p190 @p178 @p113) :args (@t159 (@list false false false true true false) (@list @t144 @t142 @t140 @t155 @t154 @t160))) % 0.46/0.66 (assume-push @p206 @t77) % 0.46/0.66 (step @p201 :rule instantiate :premises (@p48) :args ((@list @t125))) % 0.46/0.66 (step-pop @p207 :rule scope :premises (@p201)) % 0.46/0.66 (step @p202 :rule process_scope :premises (@p207) :args (@t158)) % 0.46/0.66 (step @p204 :rule implies_elim :premises (@p202)) % 0.46/0.66 (step @p205 false :rule chain_m_resolution :premises (@p204 @p199 @p48) :args (false (@list true false) (@list @t158 @t77))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------