%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT034+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 : n029.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 34.23s 34.75s % Output : Proof 34.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : CAT034+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 03:02:47 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 34.23/34.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.23/34.75 --- Run --no-e-matching --full-saturate-quant at 6... % 34.23/34.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.23/34.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.23/34.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.23/34.75 % SZS status Theorem % 34.23/34.75 % SZS output start Proof % 34.23/34.75 ( % 34.23/34.75 (declare-sort $$unsorted 0) % 34.23/34.75 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.23/34.75 (declare-const tptp.m1_cat_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k5_cat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.m1_nattra_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k4_nattra_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k11_cat_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.m1_cat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k20_ens_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k12_ens_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k17_ens_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k7_cat_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k2_mcart_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k13_cat_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k8_nattra_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k10_cat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k7_nattra_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.m4_nattra_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k11_nattra_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k5_cat_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k2_yoneda_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.u5_cat_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k2_cat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.u6_cat_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k3_yoneda_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k3_cat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.g1_cat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.u4_cat_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.r2_nattra_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.u2_cat_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k12_nattra_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k1_yoneda_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.u3_cat_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.l1_cat_1 (-> $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.u1_cat_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.m2_nattra_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k2_ens_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.v2_cat_1 (-> $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.v1_cat_1 (-> $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.m2_cat_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k1_mcart_1 (-> $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 34.23/34.75 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 34.23/34.75 (define @t1 () (@var "A" $$unsorted)) % 34.23/34.75 (define @t2 () (tptp.k1_yoneda_1 @t1)) % 34.23/34.75 (define @t3 () (tptp.u2_cat_1 (tptp.k12_nattra_1 @t1 @t2))) % 34.23/34.75 (define @t4 () (@var "B" $$unsorted)) % 34.23/34.75 (define @t5 () (tptp.k3_yoneda_1 @t1 @t4)) % 34.23/34.75 (define @t6 () (tptp.k2_cat_1 @t1 @t4)) % 34.23/34.75 (define @t7 () (tptp.k2_yoneda_1 @t1 @t6)) % 34.23/34.75 (define @t8 () (tptp.k3_cat_1 @t1 @t4)) % 34.23/34.75 (define @t9 () (tptp.k2_yoneda_1 @t1 @t8)) % 34.23/34.75 (define @t10 () (tptp.m1_subset_1 (tptp.k4_tarski (tptp.k4_tarski @t9 @t7) @t5) @t3)) % 34.23/34.75 (define @t11 () (tptp.u2_cat_1 @t1)) % 34.23/34.75 (define @t12 () (tptp.m1_subset_1 @t4 @t11)) % 34.23/34.75 (define @t13 () (@list @t4)) % 34.23/34.75 (define @t14 () (forall @t13 (=> @t12 @t10))) % 34.23/34.75 (define @t15 () (tptp.l1_cat_1 @t1)) % 34.23/34.75 (define @t16 () (tptp.v2_cat_1 @t1)) % 34.23/34.75 (define @t17 () (and @t16 @t15)) % 34.23/34.75 (define @t18 () (=> @t17 @t14)) % 34.23/34.75 (define @t19 () (@list @t1)) % 34.23/34.75 (define @t20 () (forall @t19 @t18)) % 34.23/34.75 (define @t21 () (not @t20)) % 34.23/34.75 (define @t22 () (tptp.u6_cat_1 @t1)) % 34.23/34.75 (define @t23 () (tptp.u5_cat_1 @t1)) % 34.23/34.75 (define @t24 () (tptp.u4_cat_1 @t1)) % 34.23/34.75 (define @t25 () (tptp.u3_cat_1 @t1)) % 34.23/34.75 (define @t26 () (tptp.u1_cat_1 @t1)) % 34.23/34.75 (define @t27 () (tptp.r2_hidden @t1 @t4)) % 34.23/34.75 (define @t28 () (@list @t1 @t4)) % 34.23/34.75 (define @t29 () (tptp.v1_funct_1 @t1)) % 34.23/34.75 (define @t30 () (tptp.v1_xboole_0 @t1)) % 34.23/34.75 (define @t31 () (@var "C" $$unsorted)) % 34.23/34.75 (define @t32 () (tptp.m1_subset_1 @t31 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t4)))) % 34.23/34.75 (define @t33 () (@list @t1 @t4 @t31)) % 34.23/34.75 (define @t34 () (tptp.v1_relat_1 @t1)) % 34.23/34.75 (define @t35 () (and @t34 @t29 (tptp.v2_funct_1 @t1))) % 34.23/34.75 (define @t36 () (and @t34 @t30 @t29)) % 34.23/34.75 (define @t37 () (tptp.k2_tarski @t1 @t4)) % 34.23/34.75 (define @t38 () (@var "F" $$unsorted)) % 34.23/34.75 (define @t39 () (@var "E" $$unsorted)) % 34.23/34.75 (define @t40 () (tptp.r2_nattra_1 @t1 @t4 @t39 @t38)) % 34.23/34.75 (define @t41 () (@var "G" $$unsorted)) % 34.23/34.75 (define @t42 () (tptp.k4_tarski @t39 @t38)) % 34.23/34.75 (define @t43 () (@var "D" $$unsorted)) % 34.23/34.75 (define @t44 () (= @t43 (tptp.k4_tarski @t42 @t41))) % 34.23/34.75 (define @t45 () (tptp.m2_nattra_1 @t41 @t1 @t4 @t39 @t38)) % 34.23/34.75 (define @t46 () (and @t45 @t44 @t40)) % 34.23/34.75 (define @t47 () (@list @t41)) % 34.23/34.75 (define @t48 () (exists @t47 @t46)) % 34.23/34.75 (define @t49 () (tptp.m2_cat_1 @t38 @t1 @t4)) % 34.23/34.75 (define @t50 () (and @t49 @t48)) % 34.23/34.75 (define @t51 () (@list @t38)) % 34.23/34.75 (define @t52 () (exists @t51 @t50)) % 34.23/34.75 (define @t53 () (tptp.m2_cat_1 @t39 @t1 @t4)) % 34.23/34.75 (define @t54 () (and @t53 @t52)) % 34.23/34.75 (define @t55 () (@list @t39)) % 34.23/34.75 (define @t56 () (exists @t55 @t54)) % 34.23/34.75 (define @t57 () (tptp.r2_hidden @t43 @t31)) % 34.23/34.75 (define @t58 () (= @t57 @t56)) % 34.23/34.75 (define @t59 () (@list @t43)) % 34.23/34.75 (define @t60 () (forall @t59 @t58)) % 34.23/34.75 (define @t61 () (tptp.k11_nattra_1 @t1 @t4)) % 34.23/34.75 (define @t62 () (= @t31 @t61)) % 34.23/34.75 (define @t63 () (= @t62 @t60)) % 34.23/34.75 (define @t64 () (tptp.m4_nattra_1 @t31 @t1 @t4)) % 34.23/34.75 (define @t65 () (=> @t64 @t63)) % 34.23/34.75 (define @t66 () (@list @t31)) % 34.23/34.75 (define @t67 () (forall @t66 @t65)) % 34.23/34.75 (define @t68 () (tptp.l1_cat_1 @t4)) % 34.23/34.75 (define @t69 () (tptp.v2_cat_1 @t4)) % 34.23/34.75 (define @t70 () (and @t69 @t68)) % 34.23/34.75 (define @t71 () (=> @t70 @t67)) % 34.23/34.75 (define @t72 () (forall @t13 @t71)) % 34.23/34.75 (define @t73 () (=> @t17 @t72)) % 34.23/34.75 (define @t74 () (forall @t19 @t73)) % 34.23/34.75 (define @t75 () (tptp.k10_cat_1 @t31 @t43)) % 34.23/34.75 (define @t76 () (= @t75 (tptp.k4_tarski (tptp.k4_tarski @t39 @t39) (tptp.k7_nattra_1 @t1 @t4 @t39)))) % 34.23/34.75 (define @t77 () (= @t39 @t43)) % 34.23/34.75 (define @t78 () (=> @t77 @t76)) % 34.23/34.75 (define @t79 () (=> @t53 @t78)) % 34.23/34.75 (define @t80 () (forall @t55 @t79)) % 34.23/34.75 (define @t81 () (tptp.u1_cat_1 @t31)) % 34.23/34.75 (define @t82 () (tptp.m1_subset_1 @t43 @t81)) % 34.23/34.75 (define @t83 () (=> @t82 @t80)) % 34.23/34.75 (define @t84 () (forall @t59 @t83)) % 34.23/34.75 (define @t85 () (@var "J" $$unsorted)) % 34.23/34.75 (define @t86 () (@var "I" $$unsorted)) % 34.23/34.75 (define @t87 () (@var "H" $$unsorted)) % 34.23/34.75 (define @t88 () (tptp.k4_tarski @t38 @t87)) % 34.23/34.75 (define @t89 () (tptp.k13_cat_2 @t31 @t31 @t39 @t43)) % 34.23/34.75 (define @t90 () (tptp.u5_cat_1 @t31)) % 34.23/34.75 (define @t91 () (tptp.k1_funct_1 @t90 @t89)) % 34.23/34.75 (define @t92 () (= @t91 (tptp.k4_tarski @t88 (tptp.k8_nattra_1 @t1 @t4 @t38 @t41 @t87 @t86 @t85)))) % 34.23/34.75 (define @t93 () (tptp.k4_tarski @t41 @t87)) % 34.23/34.75 (define @t94 () (= @t39 (tptp.k4_tarski @t93 @t85))) % 34.23/34.75 (define @t95 () (tptp.k4_tarski @t38 @t41)) % 34.23/34.75 (define @t96 () (= @t43 (tptp.k4_tarski @t95 @t86))) % 34.23/34.75 (define @t97 () (not (and @t96 @t94 @t92))) % 34.23/34.75 (define @t98 () (tptp.m2_nattra_1 @t85 @t1 @t4 @t41 @t87)) % 34.23/34.75 (define @t99 () (@list @t85)) % 34.23/34.75 (define @t100 () (forall @t99 (=> @t98 @t97))) % 34.23/34.75 (define @t101 () (tptp.m2_nattra_1 @t86 @t1 @t4 @t38 @t41)) % 34.23/34.75 (define @t102 () (=> @t101 @t100)) % 34.23/34.75 (define @t103 () (@list @t86)) % 34.23/34.75 (define @t104 () (forall @t103 @t102)) % 34.23/34.75 (define @t105 () (tptp.m2_cat_1 @t87 @t1 @t4)) % 34.23/34.75 (define @t106 () (=> @t105 @t104)) % 34.23/34.75 (define @t107 () (@list @t87)) % 34.23/34.75 (define @t108 () (forall @t107 @t106)) % 34.23/34.75 (define @t109 () (tptp.m2_cat_1 @t41 @t1 @t4)) % 34.23/34.75 (define @t110 () (=> @t109 @t108)) % 34.23/34.75 (define @t111 () (forall @t47 @t110)) % 34.23/34.75 (define @t112 () (=> @t49 @t111)) % 34.23/34.75 (define @t113 () (forall @t51 @t112)) % 34.23/34.75 (define @t114 () (tptp.k1_relat_1 @t90)) % 34.23/34.75 (define @t115 () (tptp.r2_hidden @t89 @t114)) % 34.23/34.75 (define @t116 () (and @t115 @t113)) % 34.23/34.75 (define @t117 () (not @t116)) % 34.23/34.75 (define @t118 () (tptp.u2_cat_1 @t31)) % 34.23/34.75 (define @t119 () (tptp.m1_subset_1 @t39 @t118)) % 34.23/34.75 (define @t120 () (=> @t119 @t117)) % 34.23/34.75 (define @t121 () (forall @t55 @t120)) % 34.23/34.75 (define @t122 () (tptp.m1_subset_1 @t43 @t118)) % 34.23/34.75 (define @t123 () (=> @t122 @t121)) % 34.23/34.75 (define @t124 () (forall @t59 @t123)) % 34.23/34.75 (define @t125 () (tptp.k3_cat_1 @t31 @t43)) % 34.23/34.75 (define @t126 () (tptp.k2_cat_1 @t31 @t39)) % 34.23/34.75 (define @t127 () (=> (= @t126 @t125) @t115)) % 34.23/34.75 (define @t128 () (=> @t119 @t127)) % 34.23/34.75 (define @t129 () (forall @t55 @t128)) % 34.23/34.75 (define @t130 () (=> @t122 @t129)) % 34.23/34.75 (define @t131 () (forall @t59 @t130)) % 34.23/34.75 (define @t132 () (tptp.k1_mcart_1 @t43)) % 34.23/34.75 (define @t133 () (tptp.k2_mcart_1 @t132)) % 34.23/34.75 (define @t134 () (tptp.k1_mcart_1 @t132)) % 34.23/34.75 (define @t135 () (and (= (tptp.k2_cat_1 @t31 @t43) @t134) (= @t125 @t133))) % 34.23/34.75 (define @t136 () (forall @t59 (=> @t122 @t135))) % 34.23/34.75 (define @t137 () (tptp.k7_cat_2 @t1 @t4)) % 34.23/34.75 (define @t138 () (= @t81 @t137)) % 34.23/34.75 (define @t139 () (and @t138 (= @t118 @t61) @t136 @t131 @t124 @t84)) % 34.23/34.75 (define @t140 () (tptp.k12_nattra_1 @t1 @t4)) % 34.23/34.75 (define @t141 () (= @t31 @t140)) % 34.23/34.75 (define @t142 () (= @t141 @t139)) % 34.23/34.75 (define @t143 () (tptp.l1_cat_1 @t31)) % 34.23/34.75 (define @t144 () (tptp.v2_cat_1 @t31)) % 34.23/34.75 (define @t145 () (tptp.v1_cat_1 @t31)) % 34.23/34.75 (define @t146 () (and @t145 @t144 @t143)) % 34.23/34.75 (define @t147 () (=> @t146 @t142)) % 34.23/34.75 (define @t148 () (forall @t66 @t147)) % 34.23/34.75 (define @t149 () (=> @t70 @t148)) % 34.23/34.75 (define @t150 () (forall @t13 @t149)) % 34.23/34.75 (define @t151 () (=> @t17 @t150)) % 34.23/34.75 (define @t152 () (forall @t19 @t151)) % 34.23/34.75 (define @t153 () (tptp.k17_ens_1 @t1)) % 34.23/34.75 (define @t154 () (tptp.k20_ens_1 @t1 @t4)) % 34.23/34.75 (define @t155 () (tptp.k2_yoneda_1 @t1 @t4)) % 34.23/34.75 (define @t156 () (tptp.m1_subset_1 @t4 @t26)) % 34.23/34.75 (define @t157 () (tptp.g1_cat_1 @t1 @t4 @t31 @t43 @t39 @t38)) % 34.23/34.75 (define @t158 () (tptp.v1_funct_1 @t39)) % 34.23/34.75 (define @t159 () (tptp.v1_funct_1 @t31)) % 34.23/34.75 (define @t160 () (tptp.v1_xboole_0 @t4)) % 34.23/34.75 (define @t161 () (not @t30)) % 34.23/34.75 (define @t162 () (and @t161 (not @t160) @t159 (tptp.v1_funct_2 @t31 @t4 @t1) (tptp.m1_relset_1 @t31 @t4 @t1) (tptp.v1_funct_1 @t43) (tptp.v1_funct_2 @t43 @t4 @t1) (tptp.m1_relset_1 @t43 @t4 @t1) @t158 (tptp.m1_relset_1 @t39 (tptp.k2_zfmisc_1 @t4 @t4) @t4) (tptp.v1_funct_1 @t38) (tptp.v1_funct_2 @t38 @t1 @t4) (tptp.m1_relset_1 @t38 @t1 @t4))) % 34.23/34.75 (define @t163 () (@list @t1 @t4 @t31 @t43 @t39 @t38)) % 34.23/34.75 (define @t164 () (tptp.k10_cat_1 @t1 @t4)) % 34.23/34.75 (define @t165 () (and @t16 @t15 @t156)) % 34.23/34.75 (define @t166 () (tptp.k11_cat_2 @t1 @t4)) % 34.23/34.75 (define @t167 () (and @t16 @t15 @t69 @t68)) % 34.23/34.75 (define @t168 () (tptp.m4_nattra_1 @t61 @t1 @t4)) % 34.23/34.75 (define @t169 () (forall @t28 (=> @t167 @t168))) % 34.23/34.75 (define @t170 () (tptp.k12_ens_1 @t1)) % 34.23/34.75 (define @t171 () (and (tptp.v1_cat_1 @t140) (tptp.v2_cat_1 @t140) (tptp.l1_cat_1 @t140))) % 34.23/34.75 (define @t172 () (forall @t28 (=> @t167 @t171))) % 34.23/34.75 (define @t173 () (tptp.k13_cat_2 @t1 @t4 @t31 @t43)) % 34.23/34.75 (define @t174 () (tptp.u2_cat_1 @t4)) % 34.23/34.75 (define @t175 () (and @t16 @t15 @t69 @t68 (tptp.m1_subset_1 @t31 @t11) (tptp.m1_subset_1 @t43 @t174))) % 34.23/34.75 (define @t176 () (@list @t1 @t4 @t31 @t43)) % 34.23/34.75 (define @t177 () (and (tptp.v2_cat_1 @t2) (tptp.l1_cat_1 @t2))) % 34.23/34.75 (define @t178 () (forall @t19 (=> @t17 @t177))) % 34.23/34.75 (define @t179 () (tptp.k2_ens_1 @t153)) % 34.23/34.75 (define @t180 () (tptp.m1_subset_1 @t6 @t26)) % 34.23/34.75 (define @t181 () (and @t15 @t12)) % 34.23/34.75 (define @t182 () (forall @t28 (=> @t181 @t180))) % 34.23/34.75 (define @t183 () (tptp.m2_cat_1 @t155 @t1 @t2)) % 34.23/34.75 (define @t184 () (forall @t28 (=> @t165 @t183))) % 34.23/34.75 (define @t185 () (tptp.m1_subset_1 @t8 @t26)) % 34.23/34.75 (define @t186 () (forall @t28 (=> @t181 @t185))) % 34.23/34.75 (define @t187 () (tptp.m2_nattra_1 @t5 @t1 @t2 @t9 @t7)) % 34.23/34.75 (define @t188 () (and @t16 @t15 @t12)) % 34.23/34.75 (define @t189 () (forall @t28 (=> @t188 @t187))) % 34.23/34.75 (define @t190 () (tptp.k4_nattra_1 @t1 @t4 @t31)) % 34.23/34.75 (define @t191 () (tptp.m2_cat_1 @t31 @t1 @t4)) % 34.23/34.75 (define @t192 () (and @t16 @t15 @t69 @t68 @t191)) % 34.23/34.75 (define @t193 () (tptp.k5_cat_1 @t1 @t4)) % 34.23/34.75 (define @t194 () (and @t15 @t156)) % 34.23/34.75 (define @t195 () (tptp.k7_nattra_1 @t1 @t4 @t31)) % 34.23/34.75 (define @t196 () (tptp.m2_cat_1 @t43 @t1 @t4)) % 34.23/34.75 (define @t197 () (tptp.m1_cat_1 @t43 @t1 @t4 @t31)) % 34.23/34.75 (define @t198 () (and @t15 @t156 (tptp.m1_subset_1 @t31 @t26))) % 34.23/34.75 (define @t199 () (tptp.v1_xboole_0 @t31)) % 34.23/34.75 (define @t200 () (not @t199)) % 34.23/34.75 (define @t201 () (tptp.m1_cat_2 @t31 @t1 @t4)) % 34.23/34.75 (define @t202 () (tptp.m1_nattra_1 @t39 @t1 @t4 @t31 @t43)) % 34.23/34.75 (define @t203 () (and @t16 @t15 @t69 @t68 @t191 @t196)) % 34.23/34.75 (define @t204 () (tptp.m2_nattra_1 @t39 @t1 @t4 @t31 @t43)) % 34.23/34.75 (define @t205 () (tptp.m2_relset_1 @t31 @t1 @t4)) % 34.23/34.75 (define @t206 () (tptp.m1_relset_1 @t31 @t1 @t4)) % 34.23/34.75 (define @t207 () (tptp.k2_ens_1 @t1)) % 34.23/34.75 (define @t208 () (tptp.k2_mcart_1 @t4)) % 34.23/34.75 (define @t209 () (@var "L" $$unsorted)) % 34.23/34.75 (define @t210 () (@var "K" $$unsorted)) % 34.23/34.75 (define @t211 () (tptp.m1_subset_1 @t1 @t4)) % 34.23/34.75 (define @t212 () (forall @t28 (=> @t27 @t211))) % 34.23/34.75 (define @t213 () (tptp.r2_nattra_1 @t1 @t2 @t9 @t7)) % 34.23/34.75 (define @t214 () (forall @t13 (=> @t12 @t213))) % 34.23/34.75 (define @t215 () (=> @t17 @t214)) % 34.23/34.75 (define @t216 () (forall @t19 @t215)) % 34.23/34.75 (define @t217 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t31))) % 34.23/34.75 (define @t218 () (@var "BOUND_VARIABLE_8160" $$unsorted)) % 34.23/34.75 (define @t219 () (tptp.k11_nattra_1 @t1 @t218)) % 34.23/34.75 (define @t220 () (@var "BOUND_VARIABLE_8162" $$unsorted)) % 34.23/34.75 (define @t221 () (= @t220 @t219)) % 34.23/34.75 (define @t222 () (@var "BOUND_VARIABLE_8101" $$unsorted)) % 34.23/34.75 (define @t223 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 34.23/34.75 (define @t224 () (tptp.k4_tarski (tptp.k4_tarski @t39 @t223) @t222)) % 34.23/34.75 (define @t225 () (not (= @t43 @t224))) % 34.23/34.75 (define @t226 () (@list @t39 @t223 @t222)) % 34.23/34.75 (define @t227 () (forall @t59 (= (not (forall @t226 (or (not (tptp.m2_cat_1 @t39 @t1 @t218)) (not (tptp.m2_cat_1 @t223 @t1 @t218)) (not (tptp.r2_nattra_1 @t1 @t218 @t39 @t223)) (not (tptp.m2_nattra_1 @t222 @t1 @t218 @t39 @t223)) @t225))) (tptp.r2_hidden @t43 @t220)))) % 34.23/34.75 (define @t228 () (= (= @t219 @t220) @t227)) % 34.23/34.75 (define @t229 () (not (tptp.m4_nattra_1 @t220 @t1 @t218))) % 34.23/34.75 (define @t230 () (not (tptp.l1_cat_1 @t218))) % 34.23/34.75 (define @t231 () (not (tptp.v2_cat_1 @t218))) % 34.23/34.75 (define @t232 () (not @t15)) % 34.23/34.75 (define @t233 () (not @t16)) % 34.23/34.75 (define @t234 () (or @t233 @t232 @t231 @t230 @t229 @t228)) % 34.23/34.75 (define @t235 () (or @t231 @t230 @t229 @t228)) % 34.23/34.75 (define @t236 () (or @t233 @t232 @t235)) % 34.23/34.75 (define @t237 () (@list @t1 @t218 @t220)) % 34.23/34.75 (define @t238 () (forall @t237 @t236)) % 34.23/34.75 (define @t239 () (@list @t218 @t220)) % 34.23/34.75 (define @t240 () (forall @t239 @t236)) % 34.23/34.75 (define @t241 () (forall @t239 @t235)) % 34.23/34.75 (define @t242 () (@var "BOUND_VARIABLE_8136" $$unsorted)) % 34.23/34.75 (define @t243 () (or @t233 @t232 @t241)) % 34.23/34.75 (define @t244 () (tptp.r2_hidden @t43 @t242)) % 34.23/34.75 (define @t245 () (not (tptp.m2_nattra_1 @t222 @t1 @t4 @t39 @t223))) % 34.23/34.75 (define @t246 () (not (tptp.r2_nattra_1 @t1 @t4 @t39 @t223))) % 34.23/34.75 (define @t247 () (not (tptp.m2_cat_1 @t223 @t1 @t4))) % 34.23/34.75 (define @t248 () (not @t53)) % 34.23/34.75 (define @t249 () (or @t248 @t247 @t246 @t245 @t225)) % 34.23/34.75 (define @t250 () (not (forall @t226 @t249))) % 34.23/34.75 (define @t251 () (not (tptp.m4_nattra_1 @t242 @t1 @t4))) % 34.23/34.75 (define @t252 () (not @t68)) % 34.23/34.75 (define @t253 () (not @t69)) % 34.23/34.75 (define @t254 () (@list @t4 @t242)) % 34.23/34.75 (define @t255 () (forall @t254 (or @t253 @t252 @t251 (= (= @t61 @t242) (forall @t59 (= @t250 @t244)))))) % 34.23/34.75 (define @t256 () (or @t233 @t232 @t255)) % 34.23/34.75 (define @t257 () (or @t233 @t232)) % 34.23/34.75 (define @t258 () (not @t17)) % 34.23/34.75 (define @t259 () (forall @t59 (= @t244 @t250))) % 34.23/34.75 (define @t260 () (= (= @t242 @t61) @t259)) % 34.23/34.75 (define @t261 () (or @t253 @t252 @t251 @t260)) % 34.23/34.75 (define @t262 () (or @t251 @t260)) % 34.23/34.75 (define @t263 () (or @t253 @t252 @t262)) % 34.23/34.75 (define @t264 () (forall @t254 @t263)) % 34.23/34.75 (define @t265 () (@list @t242)) % 34.23/34.75 (define @t266 () (forall @t265 @t263)) % 34.23/34.75 (define @t267 () (forall @t265 @t262)) % 34.23/34.75 (define @t268 () (@list @t31)) % 34.23/34.75 (define @t269 () (or @t253 @t252 @t267)) % 34.23/34.75 (define @t270 () (= @t62 (forall @t59 (= @t57 @t250)))) % 34.23/34.75 (define @t271 () (forall @t66 (or (not @t64) @t270))) % 34.23/34.75 (define @t272 () (or @t253 @t252 @t271)) % 34.23/34.75 (define @t273 () (or @t253 @t252)) % 34.23/34.75 (define @t274 () (not @t70)) % 34.23/34.75 (define @t275 () (or @t247 @t246 @t245 @t225)) % 34.23/34.75 (define @t276 () (or @t248 @t275)) % 34.23/34.75 (define @t277 () (forall @t226 @t276)) % 34.23/34.75 (define @t278 () (@list @t223 @t222)) % 34.23/34.75 (define @t279 () (forall @t278 @t276)) % 34.23/34.75 (define @t280 () (forall @t278 @t275)) % 34.23/34.75 (define @t281 () (@var "BOUND_VARIABLE_8077" $$unsorted)) % 34.23/34.75 (define @t282 () (or @t248 @t280)) % 34.23/34.75 (define @t283 () (not (= @t43 (tptp.k4_tarski @t42 @t281)))) % 34.23/34.75 (define @t284 () (not (tptp.m2_nattra_1 @t281 @t1 @t4 @t39 @t38))) % 34.23/34.75 (define @t285 () (not @t40)) % 34.23/34.75 (define @t286 () (not @t49)) % 34.23/34.75 (define @t287 () (or @t286 @t285 @t284 @t283)) % 34.23/34.75 (define @t288 () (@list @t38 @t281)) % 34.23/34.75 (define @t289 () (forall @t288 @t287)) % 34.23/34.75 (define @t290 () (not @t289)) % 34.23/34.75 (define @t291 () (and @t53 @t290)) % 34.23/34.75 (define @t292 () (forall @t55 (not @t291))) % 34.23/34.75 (define @t293 () (not @t292)) % 34.23/34.75 (define @t294 () (or @t284 @t283)) % 34.23/34.75 (define @t295 () (or @t286 @t285 @t294)) % 34.23/34.75 (define @t296 () (forall @t288 @t295)) % 34.23/34.75 (define @t297 () (@list @t281)) % 34.23/34.75 (define @t298 () (forall @t297 @t295)) % 34.23/34.75 (define @t299 () (forall @t297 @t294)) % 34.23/34.75 (define @t300 () (or @t286 @t285 @t299)) % 34.23/34.75 (define @t301 () (not @t44)) % 34.23/34.75 (define @t302 () (not @t45)) % 34.23/34.75 (define @t303 () (or @t302 @t301)) % 34.23/34.75 (define @t304 () (forall @t47 @t303)) % 34.23/34.75 (define @t305 () (or @t286 @t285 @t304)) % 34.23/34.75 (define @t306 () (or @t285 @t304)) % 34.23/34.75 (define @t307 () (not @t306)) % 34.23/34.75 (define @t308 () (and @t49 @t307)) % 34.23/34.75 (define @t309 () (forall @t51 (not @t308))) % 34.23/34.75 (define @t310 () (not @t309)) % 34.23/34.75 (define @t311 () (or @t285 @t303)) % 34.23/34.75 (define @t312 () (or @t302 @t301 @t285)) % 34.23/34.75 (define @t313 () (forall @t47 (not @t46))) % 34.23/34.75 (define @t314 () (not @t313)) % 34.23/34.75 (define @t315 () (@var "BOUND_VARIABLE_8014" $$unsorted)) % 34.23/34.75 (define @t316 () (tptp.m1_subset_1 (tptp.k4_tarski (tptp.k4_tarski (tptp.k2_yoneda_1 @t1 (tptp.k3_cat_1 @t1 @t315)) (tptp.k2_yoneda_1 @t1 (tptp.k2_cat_1 @t1 @t315))) (tptp.k3_yoneda_1 @t1 @t315)) @t3)) % 34.23/34.75 (define @t317 () (not (tptp.m1_subset_1 @t315 @t11))) % 34.23/34.75 (define @t318 () (or @t233 @t232 @t317 @t316)) % 34.23/34.75 (define @t319 () (@list @t1 @t315)) % 34.23/34.75 (define @t320 () (forall @t319 @t318)) % 34.23/34.75 (define @t321 () (@quantifiers_skolemize @t320 0)) % 34.23/34.75 (define @t322 () (tptp.k1_yoneda_1 @t321)) % 34.23/34.75 (define @t323 () (tptp.k11_nattra_1 @t321 @t322)) % 34.23/34.75 (define @t324 () (not (tptp.m2_nattra_1 @t222 @t321 @t322 @t39 @t223))) % 34.23/34.75 (define @t325 () (not (tptp.r2_nattra_1 @t321 @t322 @t39 @t223))) % 34.23/34.75 (define @t326 () (not (tptp.m2_cat_1 @t223 @t321 @t322))) % 34.23/34.75 (define @t327 () (not (tptp.m2_cat_1 @t39 @t321 @t322))) % 34.23/34.75 (define @t328 () (forall @t59 (= (not (forall @t226 (or @t327 @t326 @t325 @t324 @t225))) (tptp.r2_hidden @t43 @t323)))) % 34.23/34.75 (define @t329 () (= @t328 (= @t323 @t323))) % 34.23/34.75 (define @t330 () (tptp.m4_nattra_1 @t323 @t321 @t322)) % 34.23/34.75 (define @t331 () (not @t330)) % 34.23/34.75 (define @t332 () (tptp.l1_cat_1 @t322)) % 34.23/34.75 (define @t333 () (not @t332)) % 34.23/34.75 (define @t334 () (tptp.v2_cat_1 @t322)) % 34.23/34.75 (define @t335 () (not @t334)) % 34.23/34.75 (define @t336 () (tptp.l1_cat_1 @t321)) % 34.23/34.75 (define @t337 () (not @t336)) % 34.23/34.75 (define @t338 () (tptp.v2_cat_1 @t321)) % 34.23/34.75 (define @t339 () (not @t338)) % 34.23/34.75 (define @t340 () (or @t339 @t337 @t335 @t333 @t331 @t329)) % 34.23/34.75 (define @t341 () (forall @t237 (or @t233 @t232 @t231 @t230 @t229 (= @t227 @t221)))) % 34.23/34.75 (define @t342 () (or @t339 @t337 @t335 @t333 @t331 @t328)) % 34.23/34.75 (define @t343 () (@list false)) % 34.23/34.75 (define @t344 () (or @t233 @t232 @t253 @t252)) % 34.23/34.75 (define @t345 () (not @t167)) % 34.23/34.75 (define @t346 () (@list @t321 @t322)) % 34.23/34.75 (define @t347 () (or @t317 @t316)) % 34.23/34.75 (define @t348 () (or @t233 @t232 @t347)) % 34.23/34.75 (define @t349 () (forall @t319 @t348)) % 34.23/34.75 (define @t350 () (@list @t315)) % 34.23/34.75 (define @t351 () (forall @t350 @t348)) % 34.23/34.75 (define @t352 () (forall @t350 @t347)) % 34.23/34.75 (define @t353 () (@list @t4)) % 34.23/34.75 (define @t354 () (or @t233 @t232 @t352)) % 34.23/34.75 (define @t355 () (not @t12)) % 34.23/34.75 (define @t356 () (forall @t13 (or @t355 @t10))) % 34.23/34.75 (define @t357 () (or @t233 @t232 @t356)) % 34.23/34.75 (define @t358 () (tptp.k12_nattra_1 @t321 @t322)) % 34.23/34.75 (define @t359 () (tptp.u2_cat_1 @t358)) % 34.23/34.75 (define @t360 () (@quantifiers_skolemize @t320 1)) % 34.23/34.75 (define @t361 () (tptp.k3_yoneda_1 @t321 @t360)) % 34.23/34.75 (define @t362 () (tptp.k2_cat_1 @t321 @t360)) % 34.23/34.75 (define @t363 () (tptp.k2_yoneda_1 @t321 @t362)) % 34.23/34.75 (define @t364 () (tptp.k3_cat_1 @t321 @t360)) % 34.23/34.75 (define @t365 () (tptp.k2_yoneda_1 @t321 @t364)) % 34.23/34.75 (define @t366 () (tptp.k4_tarski (tptp.k4_tarski @t365 @t363) @t361)) % 34.23/34.75 (define @t367 () (tptp.m1_subset_1 @t366 @t359)) % 34.23/34.75 (define @t368 () (tptp.m1_subset_1 @t360 (tptp.u2_cat_1 @t321))) % 34.23/34.75 (define @t369 () (not @t368)) % 34.23/34.75 (define @t370 () (or @t339 @t337 @t369 @t367)) % 34.23/34.75 (define @t371 () (@list true)) % 34.23/34.75 (define @t372 () (@list @t370)) % 34.23/34.75 (define @t373 () (and @t334 @t332)) % 34.23/34.75 (define @t374 () (or @t339 @t337 @t373)) % 34.23/34.75 (define @t375 () (@list false false false)) % 34.23/34.75 (define @t376 () (not @t373)) % 34.23/34.75 (define @t377 () (@list @t373)) % 34.23/34.75 (define @t378 () (or @t339 @t337 @t335 @t333 @t330)) % 34.23/34.75 (define @t379 () (@list false false false false false)) % 34.23/34.75 (define @t380 () (forall @t226 (or @t327 @t326 @t325 @t324 (not (= @t224 @t366))))) % 34.23/34.75 (define @t381 () (not @t380)) % 34.23/34.75 (define @t382 () (tptp.r2_hidden @t366 @t323)) % 34.23/34.75 (define @t383 () (not (= @t366 @t224))) % 34.23/34.75 (define @t384 () (or @t327 @t326 @t325 @t324 @t383)) % 34.23/34.75 (define @t385 () (forall @t226 @t384)) % 34.23/34.75 (define @t386 () (not @t385)) % 34.23/34.75 (define @t387 () (= @t386 @t382)) % 34.23/34.75 (define @t388 () (= @t382 @t381)) % 34.23/34.75 (define @t389 () (not (tptp.r2_hidden @t366 @t359))) % 34.23/34.75 (define @t390 () (or @t389 @t367)) % 34.23/34.75 (define @t391 () (@list true false)) % 34.23/34.75 (define @t392 () (@var "BOUND_VARIABLE_8522" $$unsorted)) % 34.23/34.75 (define @t393 () (tptp.k12_nattra_1 @t1 @t392)) % 34.23/34.75 (define @t394 () (@var "BOUND_VARIABLE_8524" $$unsorted)) % 34.23/34.75 (define @t395 () (= @t394 @t393)) % 34.23/34.75 (define @t396 () (tptp.k4_tarski @t43 @t43)) % 34.23/34.75 (define @t397 () (tptp.u1_cat_1 @t394)) % 34.23/34.75 (define @t398 () (@var "BOUND_VARIABLE_8378" $$unsorted)) % 34.23/34.75 (define @t399 () (tptp.k13_cat_2 @t394 @t394 @t398 @t43)) % 34.23/34.75 (define @t400 () (tptp.u5_cat_1 @t394)) % 34.23/34.75 (define @t401 () (@var "BOUND_VARIABLE_8336" $$unsorted)) % 34.23/34.75 (define @t402 () (@var "BOUND_VARIABLE_8334" $$unsorted)) % 34.23/34.75 (define @t403 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 34.23/34.75 (define @t404 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 34.23/34.75 (define @t405 () (tptp.k4_tarski @t38 @t403)) % 34.23/34.75 (define @t406 () (tptp.k4_tarski (tptp.k4_tarski @t404 @t403) @t401)) % 34.23/34.75 (define @t407 () (not (= @t406 @t398))) % 34.23/34.75 (define @t408 () (not (= @t43 (tptp.k4_tarski (tptp.k4_tarski @t38 @t404) @t402)))) % 34.23/34.75 (define @t409 () (@list @t38 @t404 @t403 @t402 @t401)) % 34.23/34.75 (define @t410 () (tptp.k1_relat_1 @t400)) % 34.23/34.75 (define @t411 () (tptp.u2_cat_1 @t394)) % 34.23/34.75 (define @t412 () (not (tptp.m1_subset_1 @t43 @t411))) % 34.23/34.75 (define @t413 () (@list @t43 @t398)) % 34.23/34.75 (define @t414 () (@var "BOUND_VARIABLE_8215" $$unsorted)) % 34.23/34.75 (define @t415 () (tptp.k3_cat_1 @t394 @t43)) % 34.23/34.75 (define @t416 () (@list @t43 @t414)) % 34.23/34.75 (define @t417 () (and (= (tptp.k7_cat_2 @t1 @t392) @t397) (= (tptp.k11_nattra_1 @t1 @t392) @t411) (forall @t59 (or @t412 (and (= @t134 (tptp.k2_cat_1 @t394 @t43)) (= @t133 @t415)))) (forall @t416 (or @t412 (not (tptp.m1_subset_1 @t414 @t411)) (not (= @t415 (tptp.k2_cat_1 @t394 @t414))) (tptp.r2_hidden (tptp.k13_cat_2 @t394 @t394 @t414 @t43) @t410))) (forall @t413 (or @t412 (not (tptp.m1_subset_1 @t398 @t411)) (not (tptp.r2_hidden @t399 @t410)) (not (forall @t409 (or (not (tptp.m2_cat_1 @t38 @t1 @t392)) (not (tptp.m2_cat_1 @t404 @t1 @t392)) (not (tptp.m2_cat_1 @t403 @t1 @t392)) (not (tptp.m2_nattra_1 @t402 @t1 @t392 @t38 @t404)) @t408 (not (tptp.m2_nattra_1 @t401 @t1 @t392 @t404 @t403)) @t407 (not (= (tptp.k4_tarski @t405 (tptp.k8_nattra_1 @t1 @t392 @t38 @t404 @t403 @t402 @t401)) (tptp.k1_funct_1 @t400 @t399)))))))) (forall @t59 (or (not (tptp.m1_subset_1 @t43 @t397)) (not (tptp.m2_cat_1 @t43 @t1 @t392)) (= (tptp.k4_tarski @t396 (tptp.k7_nattra_1 @t1 @t392 @t43)) (tptp.k10_cat_1 @t394 @t43)))))) % 34.23/34.75 (define @t418 () (= (= @t393 @t394) @t417)) % 34.23/34.75 (define @t419 () (not (tptp.l1_cat_1 @t394))) % 34.23/34.75 (define @t420 () (not (tptp.v2_cat_1 @t394))) % 34.23/34.75 (define @t421 () (not (tptp.v1_cat_1 @t394))) % 34.23/34.75 (define @t422 () (not (tptp.l1_cat_1 @t392))) % 34.23/34.75 (define @t423 () (not (tptp.v2_cat_1 @t392))) % 34.23/34.75 (define @t424 () (or @t233 @t232 @t423 @t422 @t421 @t420 @t419 @t418)) % 34.23/34.75 (define @t425 () (or @t423 @t422 @t421 @t420 @t419 @t418)) % 34.23/34.75 (define @t426 () (or @t233 @t232 @t425)) % 34.23/34.75 (define @t427 () (@list @t1 @t392 @t394)) % 34.23/34.75 (define @t428 () (forall @t427 @t426)) % 34.23/34.75 (define @t429 () (@list @t392 @t394)) % 34.23/34.75 (define @t430 () (forall @t429 @t426)) % 34.23/34.75 (define @t431 () (forall @t429 @t425)) % 34.23/34.75 (define @t432 () (@var "BOUND_VARIABLE_8445" $$unsorted)) % 34.23/34.75 (define @t433 () (or @t233 @t232 @t431)) % 34.23/34.75 (define @t434 () (tptp.k10_cat_1 @t432 @t43)) % 34.23/34.75 (define @t435 () (tptp.k4_tarski @t396 (tptp.k7_nattra_1 @t1 @t4 @t43))) % 34.23/34.75 (define @t436 () (not @t196)) % 34.23/34.75 (define @t437 () (tptp.u1_cat_1 @t432)) % 34.23/34.75 (define @t438 () (not (tptp.m1_subset_1 @t43 @t437))) % 34.23/34.75 (define @t439 () (tptp.k13_cat_2 @t432 @t432 @t398 @t43)) % 34.23/34.75 (define @t440 () (tptp.u5_cat_1 @t432)) % 34.23/34.75 (define @t441 () (tptp.k4_tarski @t405 (tptp.k8_nattra_1 @t1 @t4 @t38 @t404 @t403 @t402 @t401))) % 34.23/34.75 (define @t442 () (not (tptp.m2_nattra_1 @t401 @t1 @t4 @t404 @t403))) % 34.23/34.75 (define @t443 () (not (tptp.m2_nattra_1 @t402 @t1 @t4 @t38 @t404))) % 34.23/34.75 (define @t444 () (not (tptp.m2_cat_1 @t403 @t1 @t4))) % 34.23/34.75 (define @t445 () (not (tptp.m2_cat_1 @t404 @t1 @t4))) % 34.23/34.75 (define @t446 () (tptp.k1_relat_1 @t440)) % 34.23/34.75 (define @t447 () (tptp.u2_cat_1 @t432)) % 34.23/34.75 (define @t448 () (not (tptp.m1_subset_1 @t43 @t447))) % 34.23/34.75 (define @t449 () (forall @t413 (or @t448 (not (tptp.m1_subset_1 @t398 @t447)) (not (tptp.r2_hidden @t439 @t446)) (not (forall @t409 (or @t286 @t445 @t444 @t443 @t408 @t442 @t407 (not (= @t441 (tptp.k1_funct_1 @t440 @t439))))))))) % 34.23/34.75 (define @t450 () (tptp.k3_cat_1 @t432 @t43)) % 34.23/34.75 (define @t451 () (forall @t416 (or @t448 (not (tptp.m1_subset_1 @t414 @t447)) (not (= @t450 (tptp.k2_cat_1 @t432 @t414))) (tptp.r2_hidden (tptp.k13_cat_2 @t432 @t432 @t414 @t43) @t446)))) % 34.23/34.75 (define @t452 () (tptp.k2_cat_1 @t432 @t43)) % 34.23/34.75 (define @t453 () (= @t61 @t447)) % 34.23/34.75 (define @t454 () (not (tptp.l1_cat_1 @t432))) % 34.23/34.75 (define @t455 () (not (tptp.v2_cat_1 @t432))) % 34.23/34.75 (define @t456 () (not (tptp.v1_cat_1 @t432))) % 34.23/34.75 (define @t457 () (@list @t4 @t432)) % 34.23/34.75 (define @t458 () (forall @t457 (or @t253 @t252 @t456 @t455 @t454 (= (= @t140 @t432) (and (= @t137 @t437) @t453 (forall @t59 (or @t448 (and (= @t134 @t452) (= @t133 @t450)))) @t451 @t449 (forall @t59 (or @t438 @t436 (= @t435 @t434)))))))) % 34.23/34.75 (define @t459 () (or @t233 @t232 @t458)) % 34.23/34.75 (define @t460 () (or @t438 @t436 (= @t434 @t435))) % 34.23/34.75 (define @t461 () (forall @t59 @t460)) % 34.23/34.75 (define @t462 () (and (= @t452 @t134) (= @t450 @t133))) % 34.23/34.75 (define @t463 () (or @t448 @t462)) % 34.23/34.75 (define @t464 () (forall @t59 @t463)) % 34.23/34.75 (define @t465 () (and (= @t437 @t137) @t453 @t464 @t451 @t449 @t461)) % 34.23/34.75 (define @t466 () (= (= @t432 @t140) @t465)) % 34.23/34.75 (define @t467 () (or @t253 @t252 @t456 @t455 @t454 @t466)) % 34.23/34.75 (define @t468 () (or @t456 @t455 @t454 @t466)) % 34.23/34.75 (define @t469 () (or @t253 @t252 @t468)) % 34.23/34.75 (define @t470 () (forall @t457 @t469)) % 34.23/34.75 (define @t471 () (@list @t432)) % 34.23/34.75 (define @t472 () (forall @t471 @t469)) % 34.23/34.75 (define @t473 () (forall @t471 @t468)) % 34.23/34.75 (define @t474 () (or @t253 @t252 @t473)) % 34.23/34.75 (define @t475 () (= @t75 @t435)) % 34.23/34.75 (define @t476 () (not @t82)) % 34.23/34.75 (define @t477 () (or @t476 @t436 @t475)) % 34.23/34.75 (define @t478 () (tptp.k13_cat_2 @t31 @t31 @t398 @t43)) % 34.23/34.75 (define @t479 () (tptp.k1_funct_1 @t90 @t478)) % 34.23/34.75 (define @t480 () (not (tptp.r2_hidden @t478 @t114))) % 34.23/34.75 (define @t481 () (not (tptp.m1_subset_1 @t398 @t118))) % 34.23/34.75 (define @t482 () (not @t122)) % 34.23/34.75 (define @t483 () (tptp.r2_hidden (tptp.k13_cat_2 @t31 @t31 @t414 @t43) @t114)) % 34.23/34.75 (define @t484 () (not (= @t125 (tptp.k2_cat_1 @t31 @t414)))) % 34.23/34.75 (define @t485 () (not (tptp.m1_subset_1 @t414 @t118))) % 34.23/34.75 (define @t486 () (or @t482 @t485 @t484 @t483)) % 34.23/34.75 (define @t487 () (= @t141 (and @t138 (= @t61 @t118) (forall @t59 (or @t482 @t135)) (forall @t416 @t486) (forall @t413 (or @t482 @t481 @t480 (not (forall @t409 (or @t286 @t445 @t444 @t443 @t408 @t442 @t407 (not (= @t441 @t479))))))) (forall @t59 @t477)))) % 34.23/34.75 (define @t488 () (not @t143)) % 34.23/34.75 (define @t489 () (not @t144)) % 34.23/34.75 (define @t490 () (not @t145)) % 34.23/34.75 (define @t491 () (or @t490 @t489 @t488 @t487)) % 34.23/34.75 (define @t492 () (forall @t66 @t491)) % 34.23/34.75 (define @t493 () (or @t253 @t252 @t492)) % 34.23/34.75 (define @t494 () (or @t490 @t489 @t488)) % 34.23/34.75 (define @t495 () (or @t436 @t475)) % 34.23/34.75 (define @t496 () (not (= @t43 @t43))) % 34.23/34.75 (define @t497 () (or @t436 @t496 @t475)) % 34.23/34.75 (define @t498 () (= @t43 @t39)) % 34.23/34.75 (define @t499 () (not @t498)) % 34.23/34.75 (define @t500 () (or @t499 @t248 @t499 @t76)) % 34.23/34.75 (define @t501 () (or @t248 @t499 @t76)) % 34.23/34.75 (define @t502 () (=> @t498 @t76)) % 34.23/34.75 (define @t503 () (not (= @t479 @t441))) % 34.23/34.75 (define @t504 () (not (= @t398 @t406))) % 34.23/34.75 (define @t505 () (or @t286 @t445 @t444 @t443 @t408 @t442 @t504 @t503)) % 34.23/34.75 (define @t506 () (forall @t409 @t505)) % 34.23/34.75 (define @t507 () (not @t506)) % 34.23/34.75 (define @t508 () (or @t482 @t481 @t480 @t507)) % 34.23/34.75 (define @t509 () (or @t481 @t480 @t507)) % 34.23/34.75 (define @t510 () (or @t482 @t509)) % 34.23/34.75 (define @t511 () (forall @t413 @t510)) % 34.23/34.75 (define @t512 () (@list @t398)) % 34.23/34.75 (define @t513 () (forall @t512 @t510)) % 34.23/34.75 (define @t514 () (forall @t512 @t509)) % 34.23/34.75 (define @t515 () (@list @t39)) % 34.23/34.75 (define @t516 () (or @t482 @t514)) % 34.23/34.75 (define @t517 () (not (= @t91 @t441))) % 34.23/34.75 (define @t518 () (not (= @t39 @t406))) % 34.23/34.75 (define @t519 () (or @t286 @t445 @t444 @t443 @t408 @t442 @t518 @t517)) % 34.23/34.75 (define @t520 () (forall @t409 @t519)) % 34.23/34.75 (define @t521 () (not @t520)) % 34.23/34.75 (define @t522 () (not @t115)) % 34.23/34.75 (define @t523 () (not @t119)) % 34.23/34.75 (define @t524 () (or @t523 @t522 @t521)) % 34.23/34.75 (define @t525 () (forall @t55 @t524)) % 34.23/34.75 (define @t526 () (not (and @t115 @t520))) % 34.23/34.75 (define @t527 () (or @t445 @t444 @t443 @t408 @t442 @t518 @t517)) % 34.23/34.75 (define @t528 () (or @t286 @t527)) % 34.23/34.75 (define @t529 () (forall @t409 @t528)) % 34.23/34.75 (define @t530 () (@list @t404 @t403 @t402 @t401)) % 34.23/34.75 (define @t531 () (forall @t530 @t528)) % 34.23/34.75 (define @t532 () (forall @t530 @t527)) % 34.23/34.75 (define @t533 () (@var "BOUND_VARIABLE_8300" $$unsorted)) % 34.23/34.75 (define @t534 () (@var "BOUND_VARIABLE_8298" $$unsorted)) % 34.23/34.75 (define @t535 () (@var "BOUND_VARIABLE_8296" $$unsorted)) % 34.23/34.75 (define @t536 () (or @t286 @t532)) % 34.23/34.75 (define @t537 () (not (= @t91 (tptp.k4_tarski (tptp.k4_tarski @t38 @t535) (tptp.k8_nattra_1 @t1 @t4 @t38 @t41 @t535 @t534 @t533))))) % 34.23/34.75 (define @t538 () (not (= @t39 (tptp.k4_tarski (tptp.k4_tarski @t41 @t535) @t533)))) % 34.23/34.75 (define @t539 () (not (tptp.m2_nattra_1 @t533 @t1 @t4 @t41 @t535))) % 34.23/34.75 (define @t540 () (not (= @t43 (tptp.k4_tarski @t95 @t534)))) % 34.23/34.75 (define @t541 () (not (tptp.m2_nattra_1 @t534 @t1 @t4 @t38 @t41))) % 34.23/34.75 (define @t542 () (not (tptp.m2_cat_1 @t535 @t1 @t4))) % 34.23/34.75 (define @t543 () (not @t109)) % 34.23/34.75 (define @t544 () (or @t543 @t542 @t541 @t540 @t539 @t538 @t537)) % 34.23/34.75 (define @t545 () (@list @t41 @t535 @t534 @t533)) % 34.23/34.75 (define @t546 () (forall @t545 @t544)) % 34.23/34.75 (define @t547 () (or @t542 @t541 @t540 @t539 @t538 @t537)) % 34.23/34.75 (define @t548 () (or @t543 @t547)) % 34.23/34.75 (define @t549 () (forall @t545 @t548)) % 34.23/34.75 (define @t550 () (@list @t535 @t534 @t533)) % 34.23/34.75 (define @t551 () (forall @t550 @t548)) % 34.23/34.75 (define @t552 () (forall @t550 @t547)) % 34.23/34.75 (define @t553 () (@var "BOUND_VARIABLE_8269" $$unsorted)) % 34.23/34.75 (define @t554 () (@var "BOUND_VARIABLE_8267" $$unsorted)) % 34.23/34.75 (define @t555 () (or @t543 @t552)) % 34.23/34.75 (define @t556 () (not (= @t91 (tptp.k4_tarski @t88 (tptp.k8_nattra_1 @t1 @t4 @t38 @t41 @t87 @t554 @t553))))) % 34.23/34.75 (define @t557 () (not (= @t39 (tptp.k4_tarski @t93 @t553)))) % 34.23/34.75 (define @t558 () (not (tptp.m2_nattra_1 @t553 @t1 @t4 @t41 @t87))) % 34.23/34.75 (define @t559 () (not (= @t43 (tptp.k4_tarski @t95 @t554)))) % 34.23/34.75 (define @t560 () (not (tptp.m2_nattra_1 @t554 @t1 @t4 @t38 @t41))) % 34.23/34.75 (define @t561 () (not @t105)) % 34.23/34.75 (define @t562 () (or @t561 @t560 @t559 @t558 @t557 @t556)) % 34.23/34.75 (define @t563 () (@list @t87 @t554 @t553)) % 34.23/34.75 (define @t564 () (forall @t563 @t562)) % 34.23/34.75 (define @t565 () (or @t560 @t559 @t558 @t557 @t556)) % 34.23/34.75 (define @t566 () (or @t561 @t565)) % 34.23/34.75 (define @t567 () (forall @t563 @t566)) % 34.23/34.75 (define @t568 () (@list @t554 @t553)) % 34.23/34.75 (define @t569 () (forall @t568 @t566)) % 34.23/34.75 (define @t570 () (forall @t568 @t565)) % 34.23/34.75 (define @t571 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 34.23/34.75 (define @t572 () (or @t561 @t570)) % 34.23/34.75 (define @t573 () (not (= @t91 (tptp.k4_tarski @t88 (tptp.k8_nattra_1 @t1 @t4 @t38 @t41 @t87 @t86 @t571))))) % 34.23/34.75 (define @t574 () (not (= @t39 (tptp.k4_tarski @t93 @t571)))) % 34.23/34.75 (define @t575 () (not (tptp.m2_nattra_1 @t571 @t1 @t4 @t41 @t87))) % 34.23/34.75 (define @t576 () (not @t96)) % 34.23/34.75 (define @t577 () (not @t101)) % 34.23/34.75 (define @t578 () (or @t577 @t576 @t575 @t574 @t573)) % 34.23/34.75 (define @t579 () (@list @t86 @t571)) % 34.23/34.75 (define @t580 () (forall @t579 @t578)) % 34.23/34.75 (define @t581 () (or @t575 @t574 @t573)) % 34.23/34.75 (define @t582 () (or @t577 @t576 @t581)) % 34.23/34.75 (define @t583 () (forall @t579 @t582)) % 34.23/34.75 (define @t584 () (@list @t571)) % 34.23/34.75 (define @t585 () (forall @t584 @t582)) % 34.23/34.75 (define @t586 () (forall @t584 @t581)) % 34.23/34.75 (define @t587 () (or @t577 @t576 @t586)) % 34.23/34.75 (define @t588 () (not @t92)) % 34.23/34.75 (define @t589 () (not @t94)) % 34.23/34.75 (define @t590 () (not @t98)) % 34.23/34.75 (define @t591 () (or @t590 @t589 @t588)) % 34.23/34.75 (define @t592 () (forall @t99 @t591)) % 34.23/34.75 (define @t593 () (or @t577 @t576 @t592)) % 34.23/34.75 (define @t594 () (or @t576 @t592)) % 34.23/34.75 (define @t595 () (or @t576 @t591)) % 34.23/34.75 (define @t596 () (or @t590 @t576 @t589 @t588)) % 34.23/34.75 (define @t597 () (or @t576 @t589 @t588)) % 34.23/34.75 (define @t598 () (or @t485 @t484 @t483)) % 34.23/34.75 (define @t599 () (or @t482 @t598)) % 34.23/34.75 (define @t600 () (forall @t416 @t599)) % 34.23/34.75 (define @t601 () (@list @t414)) % 34.23/34.75 (define @t602 () (forall @t601 @t599)) % 34.23/34.75 (define @t603 () (forall @t601 @t598)) % 34.23/34.75 (define @t604 () (or @t482 @t603)) % 34.23/34.75 (define @t605 () (= @t125 @t126)) % 34.23/34.75 (define @t606 () (not @t605)) % 34.23/34.75 (define @t607 () (or @t523 @t606 @t115)) % 34.23/34.75 (define @t608 () (forall @t55 @t607)) % 34.23/34.75 (define @t609 () (=> @t605 @t115)) % 34.23/34.75 (define @t610 () (tptp.k4_tarski @t396 (tptp.k7_nattra_1 @t321 @t322 @t43))) % 34.23/34.75 (define @t611 () (tptp.k10_cat_1 @t358 @t43)) % 34.23/34.75 (define @t612 () (not (tptp.m2_cat_1 @t43 @t321 @t322))) % 34.23/34.75 (define @t613 () (tptp.u1_cat_1 @t358)) % 34.23/34.75 (define @t614 () (not (tptp.m1_subset_1 @t43 @t613))) % 34.23/34.75 (define @t615 () (tptp.k4_tarski @t405 (tptp.k8_nattra_1 @t321 @t322 @t38 @t404 @t403 @t402 @t401))) % 34.23/34.75 (define @t616 () (tptp.k13_cat_2 @t358 @t358 @t398 @t43)) % 34.23/34.75 (define @t617 () (tptp.u5_cat_1 @t358)) % 34.23/34.75 (define @t618 () (tptp.k1_funct_1 @t617 @t616)) % 34.23/34.75 (define @t619 () (not (tptp.m2_nattra_1 @t401 @t321 @t322 @t404 @t403))) % 34.23/34.75 (define @t620 () (not (tptp.m2_nattra_1 @t402 @t321 @t322 @t38 @t404))) % 34.23/34.75 (define @t621 () (not (tptp.m2_cat_1 @t403 @t321 @t322))) % 34.23/34.75 (define @t622 () (not (tptp.m2_cat_1 @t404 @t321 @t322))) % 34.23/34.75 (define @t623 () (not (tptp.m2_cat_1 @t38 @t321 @t322))) % 34.23/34.75 (define @t624 () (tptp.k1_relat_1 @t617)) % 34.23/34.75 (define @t625 () (not (tptp.r2_hidden @t616 @t624))) % 34.23/34.75 (define @t626 () (not (tptp.m1_subset_1 @t398 @t359))) % 34.23/34.75 (define @t627 () (not (tptp.m1_subset_1 @t43 @t359))) % 34.23/34.75 (define @t628 () (tptp.k3_cat_1 @t358 @t43)) % 34.23/34.75 (define @t629 () (forall @t416 (or @t627 (not (tptp.m1_subset_1 @t414 @t359)) (not (= @t628 (tptp.k2_cat_1 @t358 @t414))) (tptp.r2_hidden (tptp.k13_cat_2 @t358 @t358 @t414 @t43) @t624)))) % 34.23/34.75 (define @t630 () (forall @t59 (or @t627 (and (= @t134 (tptp.k2_cat_1 @t358 @t43)) (= @t133 @t628))))) % 34.23/34.75 (define @t631 () (= @t359 @t323)) % 34.23/34.75 (define @t632 () (tptp.k7_cat_2 @t321 @t322)) % 34.23/34.75 (define @t633 () (and (= @t613 @t632) @t631 @t630 @t629 (forall @t413 (or @t627 @t626 @t625 (not (forall @t409 (or @t623 @t622 @t621 @t620 @t408 @t619 @t407 (not (= @t618 @t615))))))) (forall @t59 (or @t614 @t612 (= @t611 @t610))))) % 34.23/34.75 (define @t634 () (or @t614 @t612 (= @t610 @t611))) % 34.23/34.75 (define @t635 () (forall @t59 @t634)) % 34.23/34.75 (define @t636 () (not (= @t615 @t618))) % 34.23/34.75 (define @t637 () (or @t623 @t622 @t621 @t620 @t408 @t619 @t407 @t636)) % 34.23/34.75 (define @t638 () (forall @t409 @t637)) % 34.23/34.75 (define @t639 () (not @t638)) % 34.23/34.75 (define @t640 () (or @t627 @t626 @t625 @t639)) % 34.23/34.75 (define @t641 () (forall @t413 @t640)) % 34.23/34.75 (define @t642 () (and (= @t632 @t613) (= @t323 @t359) @t630 @t629 @t641 @t635)) % 34.23/34.75 (define @t643 () (= @t642 (= @t358 @t358))) % 34.23/34.75 (define @t644 () (tptp.l1_cat_1 @t358)) % 34.23/34.75 (define @t645 () (not @t644)) % 34.23/34.75 (define @t646 () (tptp.v2_cat_1 @t358)) % 34.23/34.75 (define @t647 () (not @t646)) % 34.23/34.75 (define @t648 () (tptp.v1_cat_1 @t358)) % 34.23/34.75 (define @t649 () (not @t648)) % 34.23/34.75 (define @t650 () (or @t339 @t337 @t335 @t333 @t649 @t647 @t645 @t643)) % 34.23/34.75 (define @t651 () (forall @t427 (or @t233 @t232 @t423 @t422 @t421 @t420 @t419 (= @t417 @t395)))) % 34.23/34.75 (define @t652 () (or @t339 @t337 @t335 @t333 @t649 @t647 @t645 @t633)) % 34.23/34.75 (define @t653 () (and @t648 @t646 @t644)) % 34.23/34.75 (define @t654 () (or @t339 @t337 @t335 @t333 @t653)) % 34.23/34.75 (define @t655 () (not @t653)) % 34.23/34.75 (define @t656 () (@list @t653)) % 34.23/34.75 (define @t657 () (not @t388)) % 34.23/34.75 (define @t658 () (@var "BOUND_VARIABLE_9043" $$unsorted)) % 34.23/34.75 (define @t659 () (tptp.r2_nattra_1 @t1 @t2 (tptp.k2_yoneda_1 @t1 (tptp.k3_cat_1 @t1 @t658)) (tptp.k2_yoneda_1 @t1 (tptp.k2_cat_1 @t1 @t658)))) % 34.23/34.75 (define @t660 () (not (tptp.m1_subset_1 @t658 @t11))) % 34.23/34.75 (define @t661 () (or @t660 @t659)) % 34.23/34.75 (define @t662 () (or @t233 @t232 @t661)) % 34.23/34.75 (define @t663 () (forall (@list @t1 @t658) @t662)) % 34.23/34.75 (define @t664 () (@list @t658)) % 34.23/34.75 (define @t665 () (forall @t664 @t662)) % 34.23/34.75 (define @t666 () (forall @t664 @t661)) % 34.23/34.75 (define @t667 () (or @t233 @t232 @t666)) % 34.23/34.75 (define @t668 () (forall @t13 (or @t355 @t213))) % 34.23/34.75 (define @t669 () (or @t233 @t232 @t668)) % 34.23/34.75 (define @t670 () (@list @t321 @t360)) % 34.23/34.75 (define @t671 () (tptp.r2_nattra_1 @t321 @t322 @t365 @t363)) % 34.23/34.75 (define @t672 () (or @t339 @t337 @t369 @t671)) % 34.23/34.75 (define @t673 () (@list false false false false)) % 34.23/34.75 (define @t674 () (or @t233 @t232 @t355)) % 34.23/34.75 (define @t675 () (or @t232 @t355)) % 34.23/34.75 (define @t676 () (not @t181)) % 34.23/34.75 (define @t677 () (tptp.m2_nattra_1 @t361 @t321 @t322 @t365 @t363)) % 34.23/34.75 (define @t678 () (or @t339 @t337 @t369 @t677)) % 34.23/34.75 (define @t679 () (not @t156)) % 34.23/34.75 (define @t680 () (or @t233 @t232 @t679)) % 34.23/34.75 (define @t681 () (tptp.u1_cat_1 @t321)) % 34.23/34.75 (define @t682 () (tptp.m1_subset_1 @t362 @t681)) % 34.23/34.75 (define @t683 () (or @t337 @t369 @t682)) % 34.23/34.75 (define @t684 () (tptp.m2_cat_1 @t363 @t321 @t322)) % 34.23/34.75 (define @t685 () (not @t682)) % 34.23/34.75 (define @t686 () (or @t339 @t337 @t685 @t684)) % 34.23/34.75 (define @t687 () (tptp.m1_subset_1 @t364 @t681)) % 34.23/34.75 (define @t688 () (or @t337 @t369 @t687)) % 34.23/34.75 (define @t689 () (tptp.m2_cat_1 @t365 @t321 @t322)) % 34.23/34.75 (define @t690 () (not @t687)) % 34.23/34.75 (define @t691 () (or @t339 @t337 @t690 @t689)) % 34.23/34.75 (define @t692 () (not @t677)) % 34.23/34.75 (define @t693 () (not @t671)) % 34.23/34.75 (define @t694 () (not @t684)) % 34.23/34.75 (define @t695 () (not @t689)) % 34.23/34.75 (define @t696 () (or @t695 @t694 @t693 @t692)) % 34.23/34.75 (define @t697 () (not @t696)) % 34.23/34.75 (define @t698 () (not (= @t366 @t366))) % 34.23/34.75 (define @t699 () (or @t695 @t694 @t693 @t692 @t698)) % 34.23/34.75 (assume @p1 @t21) % 34.23/34.75 (assume @p2 (forall @t19 (=> @t15 (=> (tptp.v1_cat_1 @t1) (= @t1 (tptp.g1_cat_1 @t26 @t11 @t25 @t24 @t23 @t22)))))) % 34.23/34.75 (assume @p3 (forall @t28 (=> @t27 (not (tptp.r2_hidden @t4 @t1))))) % 34.23/34.75 (assume @p4 (forall @t19 (=> @t30 @t29))) % 34.23/34.75 (assume @p5 (forall @t33 (=> @t32 (tptp.v1_relat_1 @t31)))) % 34.23/34.75 (assume @p6 (forall @t19 (=> @t36 @t35))) % 34.23/34.75 (assume @p7 (forall @t28 (= @t37 (tptp.k2_tarski @t4 @t1)))) % 34.23/34.75 (assume @p8 @t74) % 34.23/34.75 (assume @p9 @t152) % 34.23/34.75 (assume @p10 (forall @t19 (=> @t17 (= @t2 (tptp.k12_ens_1 @t153))))) % 34.23/34.75 (assume @p11 (forall @t19 (=> @t17 (forall @t13 (=> @t156 (= @t155 @t154)))))) % 34.23/34.75 (assume @p12 (forall @t28 (= (tptp.k4_tarski @t1 @t4) (tptp.k2_tarski @t37 (tptp.k1_tarski @t1))))) % 34.23/34.75 (assume @p13 (forall @t163 (=> @t162 (and (tptp.v1_cat_1 @t157) (tptp.l1_cat_1 @t157))))) % 34.23/34.75 (assume @p14 (forall @t28 (=> @t165 (tptp.m1_cat_1 @t164 @t1 @t4 @t4)))) % 34.23/34.75 (assume @p15 (forall @t28 (=> @t167 (and (tptp.v2_cat_1 @t166) (tptp.l1_cat_1 @t166))))) % 34.23/34.75 (assume @p16 @t169) % 34.23/34.75 (assume @p17 (forall @t19 (=> @t161 (tptp.l1_cat_1 @t170)))) % 34.23/34.75 (assume @p18 @t172) % 34.23/34.75 (assume @p19 (forall @t176 (=> @t175 (tptp.m1_subset_1 @t173 (tptp.u2_cat_1 @t166))))) % 34.23/34.75 (assume @p20 true) % 34.23/34.75 (assume @p21 @t178) % 34.23/34.75 (assume @p22 (forall @t28 (=> @t165 (and (tptp.v1_funct_1 @t154) (tptp.v1_funct_2 @t154 @t11 @t179) (tptp.m2_relset_1 @t154 @t11 @t179))))) % 34.23/34.75 (assume @p23 @t182) % 34.23/34.75 (assume @p24 @t184) % 34.23/34.75 (assume @p25 @t186) % 34.23/34.75 (assume @p26 @t189) % 34.23/34.75 (assume @p27 (forall @t33 (=> @t192 (tptp.m1_nattra_1 @t190 @t1 @t4 @t31 @t31)))) % 34.23/34.75 (assume @p28 (forall @t28 (=> @t194 (tptp.m1_subset_1 @t193 @t11)))) % 34.23/34.75 (assume @p29 (forall @t28 (=> @t167 (tptp.m1_cat_2 @t137 @t1 @t4)))) % 34.23/34.75 (assume @p30 (forall @t33 (=> @t192 (tptp.m2_nattra_1 @t195 @t1 @t4 @t31 @t31)))) % 34.23/34.75 (assume @p31 (forall (@list @t1 @t4 @t31 @t43 @t39 @t38 @t41) (=> (and @t16 @t15 @t69 @t68 @t191 @t196 @t53 (tptp.m2_nattra_1 @t38 @t1 @t4 @t31 @t43) (tptp.m2_nattra_1 @t41 @t1 @t4 @t43 @t39)) (tptp.m2_nattra_1 (tptp.k8_nattra_1 @t1 @t4 @t31 @t43 @t39 @t38 @t41) @t1 @t4 @t31 @t39)))) % 34.23/34.75 (assume @p32 (forall @t33 (=> @t198 (forall @t59 (=> @t197 (tptp.m1_subset_1 @t43 @t11)))))) % 34.23/34.75 (assume @p33 (forall @t28 (=> @t167 (forall @t66 (=> @t201 @t200))))) % 34.23/34.75 (assume @p34 (forall @t176 (=> @t203 (forall @t55 (=> @t202 (and @t158 (tptp.v1_funct_2 @t39 @t26 @t174) (tptp.m2_relset_1 @t39 @t26 @t174))))))) % 34.23/34.75 (assume @p35 (forall @t28 (=> @t167 (forall @t66 (=> @t191 (and @t159 (tptp.v1_funct_2 @t31 @t11 @t174) (tptp.m2_relset_1 @t31 @t11 @t174))))))) % 34.23/34.75 (assume @p36 (forall @t176 (=> @t203 (forall @t55 (=> @t204 @t202))))) % 34.23/34.75 (assume @p37 (forall @t33 (=> @t205 @t32))) % 34.23/34.75 (assume @p38 (forall @t28 (=> @t167 (forall @t66 (=> @t64 @t200))))) % 34.23/34.75 (assume @p39 (forall @t19 (=> @t15 (not (tptp.v1_xboole_0 @t26))))) % 34.23/34.75 (assume @p40 (forall @t19 (=> @t15 (not (tptp.v1_xboole_0 @t11))))) % 34.23/34.75 (assume @p41 (forall @t19 (=> @t15 (and (tptp.v1_funct_1 @t25) (tptp.v1_funct_2 @t25 @t11 @t26) (tptp.m2_relset_1 @t25 @t11 @t26))))) % 34.23/34.75 (assume @p42 (forall @t19 (=> @t15 (and (tptp.v1_funct_1 @t24) (tptp.v1_funct_2 @t24 @t11 @t26) (tptp.m2_relset_1 @t24 @t11 @t26))))) % 34.23/34.75 (assume @p43 (forall @t19 (=> @t15 (and (tptp.v1_funct_1 @t23) (tptp.m2_relset_1 @t23 (tptp.k2_zfmisc_1 @t11 @t11) @t11))))) % 34.23/34.75 (assume @p44 (forall @t19 (=> @t15 (and (tptp.v1_funct_1 @t22) (tptp.v1_funct_2 @t22 @t26 @t11) (tptp.m2_relset_1 @t22 @t26 @t11))))) % 34.23/34.75 (assume @p45 (exists @t19 @t15)) % 34.23/34.75 (assume @p46 (forall @t33 (=> @t198 (exists @t59 @t197)))) % 34.23/34.75 (assume @p47 (forall @t28 (=> @t167 (exists @t66 @t201)))) % 34.23/34.75 (assume @p48 (forall @t176 (=> @t203 (exists @t55 @t202)))) % 34.23/34.75 (assume @p49 (forall @t28 (exists @t66 @t206))) % 34.23/34.75 (assume @p50 (forall @t19 (exists @t13 (tptp.m1_subset_1 @t4 @t1)))) % 34.23/34.75 (assume @p51 (forall @t28 (=> @t167 (exists @t66 @t191)))) % 34.23/34.75 (assume @p52 (forall @t176 (=> @t203 (exists @t55 @t204)))) % 34.23/34.75 (assume @p53 (forall @t28 (exists @t66 @t205))) % 34.23/34.75 (assume @p54 (forall @t28 (=> @t167 (exists @t66 @t64)))) % 34.23/34.75 (assume @p55 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.23/34.75 (assume @p56 (forall @t19 (=> @t161 (not (tptp.v1_xboole_0 @t207))))) % 34.23/34.75 (assume @p57 (forall @t28 (=> (and @t161 (tptp.m1_subset_1 @t4 @t207)) (and (tptp.v1_relat_1 @t208) (tptp.v1_funct_1 @t208))))) % 34.23/34.75 (assume @p58 (forall @t19 (=> @t161 (and (tptp.v1_cat_1 @t170) (tptp.v2_cat_1 @t170))))) % 34.23/34.75 (assume @p59 (forall @t19 (=> @t17 (not (tptp.v1_xboole_0 @t153))))) % 34.23/34.75 (assume @p60 (forall @t163 (=> @t162 (forall (@list @t41 @t87 @t86 @t85 @t210 @t209) (=> (= @t157 (tptp.g1_cat_1 @t41 @t87 @t86 @t85 @t210 @t209)) (and (= @t1 @t41) (= @t4 @t87) (= @t31 @t86) (= @t43 @t85) (= @t39 @t210) (= @t38 @t209))))))) % 34.23/34.75 (assume @p61 (exists @t19 (and @t34 @t29))) % 34.23/34.75 (assume @p62 (exists @t19 @t30)) % 34.23/34.75 (assume @p63 (exists @t19 @t36)) % 34.23/34.75 (assume @p64 (exists @t19 @t161)) % 34.23/34.75 (assume @p65 (exists @t19 @t35)) % 34.23/34.75 (assume @p66 (forall @t28 (=> @t165 (= @t164 @t193)))) % 34.23/34.75 (assume @p67 (forall @t176 (=> @t175 (= @t173 (tptp.k4_tarski @t31 @t43))))) % 34.23/34.75 (assume @p68 (forall @t28 (=> @t167 (= @t137 (tptp.k5_cat_2 @t1 @t4))))) % 34.23/34.75 (assume @p69 (forall @t33 (=> @t192 (= @t195 @t190)))) % 34.23/34.75 (assume @p70 (forall @t33 (= @t205 @t206))) % 34.23/34.75 (assume @p71 (forall @t28 (tptp.r1_tarski @t1 @t1))) % 34.23/34.75 (assume @p72 (forall @t176 (=> @t203 (tptp.r2_nattra_1 @t1 @t4 @t31 @t31)))) % 34.23/34.75 (assume @p73 @t212) % 34.23/34.75 (assume @p74 (forall @t28 (=> @t211 (or @t160 @t27)))) % 34.23/34.75 (assume @p75 (forall @t28 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t1 @t4)))) % 34.23/34.75 (assume @p76 @t216) % 34.23/34.75 (assume @p77 (forall @t33 (=> (and @t27 @t217) (tptp.m1_subset_1 @t1 @t31)))) % 34.23/34.75 (assume @p78 (forall @t33 (not (and @t27 @t217 @t199)))) % 34.23/34.75 (assume @p79 (forall @t19 (=> @t30 (= @t1 tptp.k1_xboole_0)))) % 34.23/34.75 (assume @p80 (forall @t28 (not (and @t27 @t160)))) % 34.23/34.75 (assume @p81 (forall @t28 (not (and @t30 (not (= @t1 @t4)) @t160)))) % 34.23/34.75 (step @p82 :rule eq-symm :args (@t221 @t227)) % 34.23/34.75 (step @p83 :rule refl :args (@t227)) % 34.23/34.75 (step @p84 :rule eq-symm :args (@t219 @t220)) % 34.23/34.75 (step @p85 :rule cong :premises (@p84 @p83) :args (@t228)) % 34.23/34.75 (step @p86 :rule trans :premises (@p85 @p82)) % 34.23/34.75 (step @p87 :rule refl :args (@t229)) % 34.23/34.75 (step @p88 :rule refl :args (@t230)) % 34.23/34.75 (step @p89 :rule refl :args (@t231)) % 34.23/34.75 (step @p90 :rule refl :args (@t232)) % 34.23/34.75 (step @p91 :rule refl :args (@t233)) % 34.23/34.75 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88 @p87 @p86) :args (@t234)) % 34.23/34.75 (step @p93 :rule aci_norm :args ((= @t236 @t234))) % 34.23/34.75 (step @p94 :rule trans :premises (@p93 @p92)) % 34.23/34.75 (step @p95 :rule cong :premises (@p94) :args (@t238)) % 34.23/34.75 (step @p96 :rule quant-merge-prenex :args ((= (forall @t19 @t240) @t238))) % 34.23/34.75 (step @p97 :rule alpha_equiv :args (@t241 (@list @t218 @t220) (@list @t4 @t242))) % 34.23/34.75 (step @p98 :rule refl :args (@t232)) % 34.23/34.75 (step @p99 :rule refl :args (@t233)) % 34.23/34.75 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t243)) % 34.23/34.75 (step @p101 :rule quant-miniscope-or :args ((= @t240 @t243))) % 34.23/34.75 (step @p102 :rule trans :premises (@p101 @p100)) % 34.23/34.75 (step @p103 :rule symm :premises (@p102)) % 34.23/34.75 (step @p104 :rule cong :premises (@p103) :args ((forall @t19 @t256))) % 34.23/34.75 (step @p105 :rule trans :premises (@p104 @p96)) % 34.23/34.75 (step @p106 :rule trans :premises (@p105 @p95)) % 34.23/34.75 (step @p107 :rule aci_norm :args ((= (or @t257 @t255) @t256))) % 34.23/34.75 (step @p108 :rule refl :args (@t255)) % 34.23/34.75 (step @p109 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 34.23/34.75 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t258 @t255))) % 34.23/34.75 (step @p111 :rule trans :premises (@p110 @p107)) % 34.23/34.75 (step @p112 :rule bool-impl-elim :args (@t17 @t255)) % 34.23/34.75 (step @p113 :rule trans :premises (@p112 @p111)) % 34.23/34.75 (step @p114 :rule cong :premises (@p113) :args ((forall @t19 (=> @t17 @t255)))) % 34.23/34.75 (step @p115 :rule trans :premises (@p114 @p106)) % 34.23/34.75 (step @p116 :rule eq-symm :args (@t244 @t250)) % 34.23/34.75 (step @p117 :rule cong :premises (@p116) :args (@t259)) % 34.23/34.75 (step @p118 :rule eq-symm :args (@t242 @t61)) % 34.23/34.75 (step @p119 :rule cong :premises (@p118 @p117) :args (@t260)) % 34.23/34.75 (step @p120 :rule refl :args (@t251)) % 34.23/34.75 (step @p121 :rule refl :args (@t252)) % 34.23/34.75 (step @p122 :rule refl :args (@t253)) % 34.23/34.75 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119) :args (@t261)) % 34.23/34.75 (step @p124 :rule aci_norm :args ((= @t263 @t261))) % 34.23/34.75 (step @p125 :rule trans :premises (@p124 @p123)) % 34.23/34.75 (step @p126 :rule cong :premises (@p125) :args (@t264)) % 34.23/34.75 (step @p127 :rule quant-merge-prenex :args ((= (forall @t13 @t266) @t264))) % 34.23/34.75 (step @p128 :rule alpha_equiv :args (@t267 (@list @t242) @t268)) % 34.23/34.75 (step @p129 :rule refl :args (@t252)) % 34.23/34.75 (step @p130 :rule refl :args (@t253)) % 34.23/34.75 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t269)) % 34.23/34.75 (step @p132 :rule quant-miniscope-or :args ((= @t266 @t269))) % 34.23/34.75 (step @p133 :rule trans :premises (@p132 @p131)) % 34.23/34.75 (step @p134 :rule symm :premises (@p133)) % 34.23/34.75 (step @p135 :rule cong :premises (@p134) :args ((forall @t13 @t272))) % 34.23/34.75 (step @p136 :rule trans :premises (@p135 @p127)) % 34.23/34.75 (step @p137 :rule trans :premises (@p136 @p126)) % 34.23/34.75 (step @p138 :rule aci_norm :args ((= (or @t273 @t271) @t272))) % 34.23/34.75 (step @p139 :rule refl :args (@t271)) % 34.23/34.75 (step @p140 :rule bool-and-de-morgan :args (@t69 @t68 true)) % 34.23/34.75 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t274 @t271))) % 34.23/34.75 (step @p142 :rule trans :premises (@p141 @p138)) % 34.23/34.75 (step @p143 :rule bool-impl-elim :args (@t70 @t271)) % 34.23/34.75 (step @p144 :rule trans :premises (@p143 @p142)) % 34.23/34.75 (step @p145 :rule cong :premises (@p144) :args ((forall @t13 (=> @t70 @t271)))) % 34.23/34.75 (step @p146 :rule trans :premises (@p145 @p137)) % 34.23/34.75 (step @p147 :rule bool-impl-elim :args (@t64 @t270)) % 34.23/34.75 (step @p148 :rule cong :premises (@p147) :args ((forall @t66 (=> @t64 @t270)))) % 34.23/34.75 (step @p149 :rule aci_norm :args ((= @t276 @t249))) % 34.23/34.75 (step @p150 :rule cong :premises (@p149) :args (@t277)) % 34.23/34.75 (step @p151 :rule quant-merge-prenex :args ((= (forall @t55 @t279) @t277))) % 34.23/34.75 (step @p152 :rule alpha_equiv :args (@t280 (@list @t223 @t222) (@list @t38 @t281))) % 34.23/34.75 (step @p153 :rule refl :args (@t248)) % 34.23/34.75 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t282)) % 34.23/34.75 (step @p155 :rule quant-miniscope-or :args ((= @t279 @t282))) % 34.23/34.75 (step @p156 :rule trans :premises (@p155 @p154)) % 34.23/34.75 (step @p157 :rule symm :premises (@p156)) % 34.23/34.75 (step @p158 :rule cong :premises (@p157) :args ((forall @t55 (or @t248 @t289)))) % 34.23/34.75 (step @p159 :rule trans :premises (@p158 @p151)) % 34.23/34.75 (step @p160 :rule trans :premises (@p159 @p150)) % 34.23/34.75 (step @p161 :rule bool-double-not-elim :args (@t289)) % 34.23/34.75 (step @p162 :rule nary_cong :premises (@p153 @p161) :args ((or @t248 (not @t290)))) % 34.23/34.75 (step @p163 :rule bool-and-de-morgan :args (@t53 @t290 true)) % 34.23/34.75 (step @p164 :rule trans :premises (@p163 @p162)) % 34.23/34.75 (step @p165 :rule cong :premises (@p164) :args (@t292)) % 34.23/34.75 (step @p166 :rule trans :premises (@p165 @p160)) % 34.23/34.75 (step @p167 :rule cong :premises (@p166) :args (@t293)) % 34.23/34.75 (step @p168 :rule exists-elim :args ((= (exists @t55 @t291) @t293))) % 34.23/34.75 (step @p169 :rule trans :premises (@p168 @p167)) % 34.23/34.75 (step @p170 :rule aci_norm :args ((= @t295 @t287))) % 34.23/34.75 (step @p171 :rule cong :premises (@p170) :args (@t296)) % 34.23/34.75 (step @p172 :rule quant-merge-prenex :args ((= (forall @t51 @t298) @t296))) % 34.23/34.75 (step @p173 :rule alpha_equiv :args (@t299 (@list @t281) (@list @t41))) % 34.23/34.75 (step @p174 :rule refl :args (@t285)) % 34.23/34.75 (step @p175 :rule refl :args (@t286)) % 34.23/34.75 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t300)) % 34.23/34.75 (step @p177 :rule quant-miniscope-or :args ((= @t298 @t300))) % 34.23/34.75 (step @p178 :rule trans :premises (@p177 @p176)) % 34.23/34.75 (step @p179 :rule symm :premises (@p178)) % 34.23/34.75 (step @p180 :rule cong :premises (@p179) :args ((forall @t51 @t305))) % 34.23/34.75 (step @p181 :rule trans :premises (@p180 @p172)) % 34.23/34.75 (step @p182 :rule trans :premises (@p181 @p171)) % 34.23/34.75 (step @p183 :rule aci_norm :args ((= (or @t286 @t306) @t305))) % 34.23/34.75 (step @p184 :rule bool-double-not-elim :args (@t306)) % 34.23/34.75 (step @p185 :rule nary_cong :premises (@p175 @p184) :args ((or @t286 (not @t307)))) % 34.23/34.75 (step @p186 :rule bool-and-de-morgan :args (@t49 @t307 true)) % 34.23/34.75 (step @p187 :rule trans :premises (@p186 @p185)) % 34.23/34.75 (step @p188 :rule trans :premises (@p187 @p183)) % 34.23/34.75 (step @p189 :rule cong :premises (@p188) :args (@t309)) % 34.23/34.75 (step @p190 :rule trans :premises (@p189 @p182)) % 34.23/34.75 (step @p191 :rule cong :premises (@p190) :args (@t310)) % 34.23/34.75 (step @p192 :rule exists-elim :args ((= (exists @t51 @t308) @t310))) % 34.23/34.75 (step @p193 :rule trans :premises (@p192 @p191)) % 34.23/34.75 (step @p194 :rule quant-miniscope-or :args ((= (forall @t47 @t311) @t306))) % 34.23/34.75 (step @p195 :rule aci_norm :args ((= @t312 @t311))) % 34.23/34.75 (step @p196 :rule cong :premises (@p195) :args ((forall @t47 @t312))) % 34.23/34.75 (step @p197 :rule trans :premises (@p196 @p194)) % 34.23/34.75 (step @p198 :rule aci_norm :args ((= (or @t302 (or @t301 @t285)) @t312))) % 34.23/34.75 (step @p199 :rule bool-and-de-morgan :args (@t44 @t40 true)) % 34.23/34.75 (step @p200 :rule refl :args (@t302)) % 34.23/34.75 (step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or @t302 (not (and @t44 @t40))))) % 34.23/34.75 (step @p202 :rule bool-and-de-morgan :args (@t45 @t44 (and @t40))) % 34.23/34.75 (step @p203 :rule trans :premises (@p202 @p201)) % 34.23/34.75 (step @p204 :rule trans :premises (@p203 @p198)) % 34.23/34.75 (step @p205 :rule cong :premises (@p204) :args (@t313)) % 34.23/34.75 (step @p206 :rule trans :premises (@p205 @p197)) % 34.23/34.75 (step @p207 :rule cong :premises (@p206) :args (@t314)) % 34.23/34.75 (step @p208 :rule exists-elim :args ((= @t48 @t314))) % 34.23/34.75 (step @p209 :rule trans :premises (@p208 @p207)) % 34.23/34.75 (step @p210 :rule refl :args (@t49)) % 34.23/34.75 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t50)) % 34.23/34.75 (step @p212 :rule cong :premises (@p211) :args (@t52)) % 34.23/34.75 (step @p213 :rule trans :premises (@p212 @p193)) % 34.23/34.75 (step @p214 :rule refl :args (@t53)) % 34.23/34.75 (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t54)) % 34.23/34.75 (step @p216 :rule cong :premises (@p215) :args (@t56)) % 34.23/34.75 (step @p217 :rule trans :premises (@p216 @p169)) % 34.23/34.75 (step @p218 :rule refl :args (@t57)) % 34.23/34.75 (step @p219 :rule cong :premises (@p218 @p217) :args (@t58)) % 34.23/34.75 (step @p220 :rule cong :premises (@p219) :args (@t60)) % 34.23/34.75 (step @p221 :rule refl :args (@t62)) % 34.23/34.75 (step @p222 :rule cong :premises (@p221 @p220) :args (@t63)) % 34.23/34.75 (step @p223 :rule refl :args (@t64)) % 34.23/34.75 (step @p224 :rule cong :premises (@p223 @p222) :args (@t65)) % 34.23/34.75 (step @p225 :rule cong :premises (@p224) :args (@t67)) % 34.23/34.75 (step @p226 :rule trans :premises (@p225 @p148)) % 34.23/34.75 (step @p227 :rule refl :args (@t70)) % 34.23/34.75 (step @p228 :rule cong :premises (@p227 @p226) :args (@t71)) % 34.23/34.75 (step @p229 :rule cong :premises (@p228) :args (@t72)) % 34.23/34.75 (step @p230 :rule trans :premises (@p229 @p146)) % 34.23/34.75 (step @p231 :rule refl :args (@t17)) % 34.23/34.75 (step @p232 :rule cong :premises (@p231 @p230) :args (@t73)) % 34.23/34.75 (step @p233 :rule cong :premises (@p232) :args (@t74)) % 34.23/34.75 (step @p234 :rule trans :premises (@p233 @p115)) % 34.23/34.75 (step @p235 :rule eq_resolve :premises (@p8 @p234)) % 34.23/34.75 (step @p236 :rule bool-eq-true :args (@t328)) % 34.23/34.75 (step @p237 :rule eq-refl :args (@t323)) % 34.23/34.75 (step @p238 :rule refl :args (@t328)) % 34.23/34.75 (step @p239 :rule cong :premises (@p238 @p237) :args (@t329)) % 34.23/34.75 (step @p240 :rule trans :premises (@p239 @p236)) % 34.23/34.75 (step @p241 :rule refl :args (@t331)) % 34.23/34.75 (step @p242 :rule refl :args (@t333)) % 34.23/34.75 (step @p243 :rule refl :args (@t335)) % 34.23/34.75 (step @p244 :rule refl :args (@t337)) % 34.23/34.75 (step @p245 :rule refl :args (@t339)) % 34.23/34.75 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243 @p242 @p241 @p240) :args (@t340)) % 34.23/34.75 (step @p247 :rule refl :args (@t341)) % 34.23/34.75 (step @p248 :rule cong :premises (@p247 @p246) :args ((=> @t341 @t340))) % 34.23/34.75 (assume-push @p893 @t341) % 34.23/34.75 (step @p250 :rule instantiate :premises (@p235) :args ((@list @t321 @t322 @t323))) % 34.23/34.75 (step-pop @p894 :rule scope :premises (@p250)) % 34.23/34.75 (step @p251 :rule process_scope :premises (@p894) :args (@t340)) % 34.23/34.75 (step @p253 :rule eq_resolve :premises (@p251 @p248)) % 34.23/34.75 (step @p254 :rule implies_elim :premises (@p253)) % 34.23/34.75 (step @p255 :rule chain_m_resolution :premises (@p254 @p235) :args (@t342 @t343 (@list @t341))) % 34.23/34.75 (step @p256 :rule aci_norm :args ((= (or @t344 @t168) (or @t233 @t232 @t253 @t252 @t168)))) % 34.23/34.75 (step @p257 :rule refl :args (@t168)) % 34.23/34.75 (step @p258 :rule aci_norm :args ((= (or @t233 (or @t232 @t273)) @t344))) % 34.23/34.75 (step @p259 :rule nary_cong :premises (@p98 @p140) :args ((or @t232 @t274))) % 34.23/34.75 (step @p260 :rule bool-and-de-morgan :args (@t15 @t69 (and @t68))) % 34.23/34.75 (step @p261 :rule trans :premises (@p260 @p259)) % 34.23/34.75 (step @p262 :rule nary_cong :premises (@p99 @p261) :args ((or @t233 (not (and @t15 @t69 @t68))))) % 34.23/34.75 (step @p263 :rule bool-and-de-morgan :args (@t16 @t15 (and @t69 @t68))) % 34.23/34.75 (step @p264 :rule trans :premises (@p263 @p262)) % 34.23/34.75 (step @p265 :rule trans :premises (@p264 @p258)) % 34.23/34.75 (step @p266 :rule nary_cong :premises (@p265 @p257) :args ((or @t345 @t168))) % 34.23/34.75 (step @p267 :rule trans :premises (@p266 @p256)) % 34.23/34.75 (step @p268 :rule bool-impl-elim :args (@t167 @t168)) % 34.23/34.75 (step @p269 :rule trans :premises (@p268 @p267)) % 34.23/34.75 (step @p270 :rule cong :premises (@p269) :args (@t169)) % 34.23/34.75 (step @p271 :rule eq_resolve :premises (@p16 @p270)) % 34.23/34.75 (step @p272 :rule instantiate :premises (@p271) :args (@t346)) % 34.23/34.75 (step @p273 :rule aci_norm :args ((= (or @t257 @t177) (or @t233 @t232 @t177)))) % 34.23/34.75 (step @p274 :rule refl :args (@t177)) % 34.23/34.75 (step @p275 :rule nary_cong :premises (@p109 @p274) :args ((or @t258 @t177))) % 34.23/34.75 (step @p276 :rule trans :premises (@p275 @p273)) % 34.23/34.75 (step @p277 :rule bool-impl-elim :args (@t17 @t177)) % 34.23/34.75 (step @p278 :rule trans :premises (@p277 @p276)) % 34.23/34.75 (step @p279 :rule cong :premises (@p278) :args (@t178)) % 34.23/34.75 (step @p280 :rule eq_resolve :premises (@p21 @p279)) % 34.23/34.75 (step @p281 :rule instantiate :premises (@p280) :args ((@list @t321))) % 34.23/34.75 (step @p282 :rule aci_norm :args ((= @t348 @t318))) % 34.23/34.75 (step @p283 :rule cong :premises (@p282) :args (@t349)) % 34.23/34.75 (step @p284 :rule quant-merge-prenex :args ((= (forall @t19 @t351) @t349))) % 34.23/34.75 (step @p285 :rule alpha_equiv :args (@t352 (@list @t315) @t353)) % 34.23/34.75 (step @p286 :rule nary_cong :premises (@p99 @p98 @p285) :args (@t354)) % 34.23/34.75 (step @p287 :rule quant-miniscope-or :args ((= @t351 @t354))) % 34.23/34.75 (step @p288 :rule trans :premises (@p287 @p286)) % 34.23/34.75 (step @p289 :rule symm :premises (@p288)) % 34.23/34.75 (step @p290 :rule cong :premises (@p289) :args ((forall @t19 @t357))) % 34.23/34.75 (step @p291 :rule trans :premises (@p290 @p284)) % 34.23/34.75 (step @p292 :rule trans :premises (@p291 @p283)) % 34.23/34.75 (step @p293 :rule aci_norm :args ((= (or @t257 @t356) @t357))) % 34.23/34.75 (step @p294 :rule refl :args (@t356)) % 34.23/34.75 (step @p295 :rule nary_cong :premises (@p109 @p294) :args ((or @t258 @t356))) % 34.23/34.75 (step @p296 :rule trans :premises (@p295 @p293)) % 34.23/34.75 (step @p297 :rule bool-impl-elim :args (@t17 @t356)) % 34.23/34.75 (step @p298 :rule trans :premises (@p297 @p296)) % 34.23/34.75 (step @p299 :rule cong :premises (@p298) :args ((forall @t19 (=> @t17 @t356)))) % 34.23/34.75 (step @p300 :rule trans :premises (@p299 @p292)) % 34.23/34.75 (step @p301 :rule bool-impl-elim :args (@t12 @t10)) % 34.23/34.75 (step @p302 :rule cong :premises (@p301) :args (@t14)) % 34.23/34.75 (step @p303 :rule cong :premises (@p231 @p302) :args (@t18)) % 34.23/34.75 (step @p304 :rule cong :premises (@p303) :args (@t20)) % 34.23/34.75 (step @p305 :rule trans :premises (@p304 @p300)) % 34.23/34.75 (step @p306 :rule cong :premises (@p305) :args (@t21)) % 34.23/34.75 (step @p307 :rule eq_resolve :premises (@p1 @p306)) % 34.23/34.75 (step @p308 :rule skolemize :premises (@p307)) % 34.23/34.75 (step @p309 :rule bool-double-not-elim :args (@t336)) % 34.23/34.75 (step @p310 :rule refl :args (@t370)) % 34.23/34.75 (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or @t370 (not @t337)))) % 34.23/34.75 (step @p312 :rule cnf_or_neg :args (@t370 1)) % 34.23/34.75 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 34.23/34.75 (step @p314 :rule reordering :premises (@p313) :args ((or @t336 @t370))) % 34.23/34.75 (step @p315 :rule chain_m_resolution :premises (@p314 @p308) :args (@t336 @t371 @t372)) % 34.23/34.75 (step @p316 :rule bool-double-not-elim :args (@t338)) % 34.23/34.75 (step @p317 :rule nary_cong :premises (@p310 @p316) :args ((or @t370 (not @t339)))) % 34.23/34.75 (step @p318 :rule cnf_or_neg :args (@t370 0)) % 34.23/34.75 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 34.23/34.75 (step @p320 :rule reordering :premises (@p319) :args ((or @t338 @t370))) % 34.23/34.75 (step @p321 :rule chain_m_resolution :premises (@p320 @p308) :args (@t338 @t371 @t372)) % 34.23/34.75 (step @p322 :rule cnf_or_pos :args (@t374)) % 34.23/34.75 (step @p323 :rule reordering :premises (@p322) :args ((or @t339 @t337 @t373 (not @t374)))) % 34.23/34.75 (step @p324 :rule chain_m_resolution :premises (@p323 @p321 @p315 @p281) :args (@t373 @t375 (@list @t338 @t336 @t374))) % 34.23/34.75 (step @p325 :rule cnf_and_pos :args (@t373 1)) % 34.23/34.75 (step @p326 :rule reordering :premises (@p325) :args ((or @t332 @t376))) % 34.23/34.75 (step @p327 :rule chain_m_resolution :premises (@p326 @p324) :args (@t332 @t343 @t377)) % 34.23/34.75 (step @p328 :rule 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@p464 @p460) :args (@t497)) % 34.23/34.75 (step @p466 :rule trans :premises (@p465 @p459)) % 34.23/34.75 (step @p467 :rule quant-var-elim-eq :args ((= (forall @t55 (or (not @t77) @t248 @t499 @t76)) @t497))) % 34.23/34.75 (step @p468 :rule refl :args (@t76)) % 34.23/34.75 (step @p469 :rule refl :args (@t499)) % 34.23/34.75 (step @p470 :rule eq-symm :args (@t43 @t39)) % 34.23/34.75 (step @p471 :rule cong :premises (@p470) :args (@t499)) % 34.23/34.75 (step @p472 :rule nary_cong :premises (@p471 @p153 @p469 @p468) :args (@t500)) % 34.23/34.75 (step @p473 :rule aci_norm :args ((= @t501 @t500))) % 34.23/34.75 (step @p474 :rule trans :premises (@p473 @p472)) % 34.23/34.75 (step @p475 :rule cong :premises (@p474) :args ((forall @t55 @t501))) % 34.23/34.75 (step @p476 :rule trans :premises (@p475 @p467)) % 34.23/34.75 (step @p477 :rule trans :premises (@p476 @p466)) % 34.23/34.75 (step @p478 :rule aci_norm :args ((= (or @t248 (or @t499 @t76)) @t501))) % 34.23/34.75 (step @p479 :rule 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:premises (@p746 @p744) :args (@t646 @t343 @t656)) % 34.23/34.75 (step @p748 :rule cnf_and_pos :args (@t653 0)) % 34.23/34.75 (step @p749 :rule reordering :premises (@p748) :args ((or @t648 @t655))) % 34.23/34.75 (step @p750 :rule chain_m_resolution :premises (@p749 @p744) :args (@t648 @t343 @t656)) % 34.23/34.75 (step @p751 :rule cnf_and_pos :args (@t653 2)) % 34.23/34.75 (step @p752 :rule reordering :premises (@p751) :args ((or @t644 @t655))) % 34.23/34.75 (step @p753 :rule chain_m_resolution :premises (@p752 @p744) :args (@t644 @t343 @t656)) % 34.23/34.75 (step @p754 :rule cnf_or_pos :args (@t652)) % 34.23/34.75 (step @p755 :rule reordering :premises (@p754) :args ((or @t339 @t337 @t645 @t649 @t335 @t333 @t647 @t633 (not @t652)))) % 34.23/34.75 (step @p756 :rule chain_m_resolution :premises (@p755 @p321 @p315 @p753 @p750 @p330 @p327 @p747 @p732) :args (@t633 (@list false false false false false false false false) (@list @t338 @t336 @t644 @t648 @t334 @t332 @t646 @t652))) % 34.23/34.75 (step @p757 :rule cnf_and_pos :args (@t633 1)) % 34.23/34.75 (step @p758 :rule reordering :premises (@p757) :args ((or @t631 (not @t633)))) % 34.23/34.75 (step @p759 :rule chain_m_resolution :premises (@p758 @p756) :args (@t631 @t343 (@list @t633))) % 34.23/34.75 (step @p760 :rule symm :premises (@p759)) % 34.23/34.75 (step @p761 :rule refl :args (@t366)) % 34.23/34.75 (step @p762 :rule cong :premises (@p761 @p760) :args (@t382)) % 34.23/34.75 (step @p763 :rule trans :premises (@p762 @p367)) % 34.23/34.75 (step @p764 :rule false_elim :premises (@p763)) % 34.23/34.75 (step @p765 :rule bool-double-not-elim :args (@t380)) % 34.23/34.75 (step @p766 :rule refl :args (@t657)) % 34.23/34.75 (step @p767 :rule nary_cong :premises (@p766 @p338 @p765) :args ((or @t657 @t382 (not @t381)))) % 34.23/34.75 (step @p768 :rule cnf_equiv_pos2 :args (@t388)) % 34.23/34.75 (step @p769 :rule eq_resolve :premises (@p768 @p767)) % 34.23/34.75 (step @p770 :rule reordering :premises (@p769) :args ((or @t382 @t380 @t657))) % 34.23/34.75 (step @p771 :rule chain_m_resolution :premises (@p770 @p764 @p357) :args (@t380 @t391 (@list @t382 @t388))) % 34.23/34.75 (step @p772 :rule aci_norm :args ((= @t662 (or @t233 @t232 @t660 @t659)))) % 34.23/34.75 (step @p773 :rule cong :premises (@p772) :args (@t663)) % 34.23/34.75 (step @p774 :rule quant-merge-prenex :args ((= (forall @t19 @t665) @t663))) % 34.23/34.75 (step @p775 :rule alpha_equiv :args (@t666 (@list @t658) @t353)) % 34.23/34.75 (step @p776 :rule nary_cong :premises (@p99 @p98 @p775) :args (@t667)) % 34.23/34.75 (step @p777 :rule quant-miniscope-or :args ((= @t665 @t667))) % 34.23/34.75 (step @p778 :rule trans :premises (@p777 @p776)) % 34.23/34.75 (step @p779 :rule symm :premises (@p778)) % 34.23/34.75 (step @p780 :rule cong :premises (@p779) :args ((forall @t19 @t669))) % 34.23/34.75 (step @p781 :rule trans :premises (@p780 @p774)) % 34.23/34.75 (step @p782 :rule trans :premises (@p781 @p773)) % 34.23/34.75 (step @p783 :rule aci_norm :args ((= (or @t257 @t668) @t669))) % 34.23/34.75 (step @p784 :rule refl :args (@t668)) % 34.23/34.75 (step @p785 :rule nary_cong :premises (@p109 @p784) :args ((or @t258 @t668))) % 34.23/34.75 (step @p786 :rule trans :premises (@p785 @p783)) % 34.23/34.75 (step @p787 :rule bool-impl-elim :args (@t17 @t668)) % 34.23/34.75 (step @p788 :rule trans :premises (@p787 @p786)) % 34.23/34.75 (step @p789 :rule cong :premises (@p788) :args ((forall @t19 (=> @t17 @t668)))) % 34.23/34.75 (step @p790 :rule trans :premises (@p789 @p782)) % 34.23/34.75 (step @p791 :rule bool-impl-elim :args (@t12 @t213)) % 34.23/34.75 (step @p792 :rule cong :premises (@p791) :args (@t214)) % 34.23/34.75 (step @p793 :rule cong :premises (@p231 @p792) :args (@t215)) % 34.23/34.75 (step @p794 :rule cong :premises (@p793) :args (@t216)) % 34.23/34.75 (step @p795 :rule trans :premises (@p794 @p790)) % 34.23/34.75 (step @p796 :rule eq_resolve :premises (@p76 @p795)) % 34.23/34.75 (step @p797 :rule instantiate :premises (@p796) :args (@t670)) % 34.23/34.75 (step @p798 :rule bool-double-not-elim :args (@t368)) % 34.23/34.75 (step @p799 :rule nary_cong :premises (@p310 @p798) :args ((or @t370 (not @t369)))) % 34.23/34.75 (step @p800 :rule cnf_or_neg :args (@t370 2)) % 34.23/34.75 (step @p801 :rule eq_resolve :premises (@p800 @p799)) % 34.23/34.75 (step @p802 :rule reordering :premises (@p801) :args ((or @t368 @t370))) % 34.23/34.75 (step @p803 :rule chain_m_resolution :premises (@p802 @p308) :args (@t368 @t371 @t372)) % 34.23/34.75 (step @p804 :rule cnf_or_pos :args (@t672)) % 34.23/34.75 (step @p805 :rule reordering :premises (@p804) :args ((or @t339 @t337 @t369 @t671 (not @t672)))) % 34.23/34.75 (step @p806 :rule chain_m_resolution :premises (@p805 @p321 @p315 @p803 @p797) :args (@t671 @t673 (@list @t338 @t336 @t368 @t672))) % 34.23/34.75 (step @p807 :rule aci_norm :args ((= (or @t674 @t187) (or @t233 @t232 @t355 @t187)))) % 34.23/34.75 (step @p808 :rule refl :args (@t187)) % 34.23/34.75 (step @p809 :rule aci_norm :args ((= (or @t233 @t675) @t674))) % 34.23/34.75 (step @p810 :rule bool-and-de-morgan :args (@t15 @t12 true)) % 34.23/34.75 (step @p811 :rule nary_cong :premises (@p99 @p810) :args ((or @t233 @t676))) % 34.23/34.75 (step @p812 :rule bool-and-de-morgan :args (@t16 @t15 (and @t12))) % 34.23/34.75 (step @p813 :rule trans :premises (@p812 @p811)) % 34.23/34.75 (step @p814 :rule trans :premises (@p813 @p809)) % 34.23/34.75 (step @p815 :rule nary_cong :premises (@p814 @p808) :args ((or (not @t188) @t187))) % 34.23/34.75 (step @p816 :rule trans :premises (@p815 @p807)) % 34.23/34.75 (step @p817 :rule bool-impl-elim :args (@t188 @t187)) % 34.23/34.75 (step @p818 :rule trans :premises (@p817 @p816)) % 34.23/34.75 (step @p819 :rule cong :premises (@p818) :args (@t189)) % 34.23/34.75 (step @p820 :rule eq_resolve :premises (@p26 @p819)) % 34.23/34.75 (step @p821 :rule instantiate :premises (@p820) :args (@t670)) % 34.23/34.75 (step @p822 :rule cnf_or_pos :args (@t678)) % 34.23/34.75 (step @p823 :rule reordering :premises (@p822) :args ((or @t339 @t337 @t369 @t677 (not @t678)))) % 34.23/34.75 (step @p824 :rule chain_m_resolution :premises (@p823 @p321 @p315 @p803 @p821) :args (@t677 @t673 (@list @t338 @t336 @t368 @t678))) % 34.23/34.75 (step @p825 :rule aci_norm :args ((= (or @t680 @t183) (or @t233 @t232 @t679 @t183)))) % 34.23/34.75 (step @p826 :rule refl :args (@t183)) % 34.23/34.75 (step @p827 :rule aci_norm :args ((= (or @t233 (or @t232 @t679)) @t680))) % 34.23/34.75 (step @p828 :rule bool-and-de-morgan :args (@t15 @t156 true)) % 34.23/34.75 (step @p829 :rule nary_cong :premises (@p99 @p828) :args ((or @t233 (not @t194)))) % 34.23/34.75 (step @p830 :rule bool-and-de-morgan :args (@t16 @t15 (and @t156))) % 34.23/34.75 (step @p831 :rule trans :premises (@p830 @p829)) % 34.23/34.75 (step @p832 :rule trans :premises (@p831 @p827)) % 34.23/34.75 (step @p833 :rule nary_cong :premises (@p832 @p826) :args ((or (not @t165) @t183))) % 34.23/34.75 (step @p834 :rule trans :premises (@p833 @p825)) % 34.23/34.75 (step @p835 :rule bool-impl-elim :args (@t165 @t183)) % 34.23/34.75 (step @p836 :rule trans :premises (@p835 @p834)) % 34.23/34.75 (step @p837 :rule cong :premises (@p836) :args (@t184)) % 34.23/34.75 (step @p838 :rule eq_resolve :premises (@p24 @p837)) % 34.23/34.75 (step @p839 :rule instantiate :premises (@p838) :args ((@list @t321 @t362))) % 34.23/34.75 (step @p840 :rule aci_norm :args ((= (or @t675 @t180) (or @t232 @t355 @t180)))) % 34.23/34.75 (step @p841 :rule refl :args (@t180)) % 34.23/34.75 (step @p842 :rule nary_cong :premises (@p810 @p841) :args ((or @t676 @t180))) % 34.23/34.75 (step @p843 :rule trans :premises (@p842 @p840)) % 34.23/34.75 (step @p844 :rule bool-impl-elim :args (@t181 @t180)) % 34.23/34.75 (step @p845 :rule trans :premises (@p844 @p843)) % 34.23/34.75 (step @p846 :rule cong :premises (@p845) :args (@t182)) % 34.23/34.75 (step @p847 :rule eq_resolve :premises (@p23 @p846)) % 34.23/34.75 (step @p848 :rule instantiate :premises (@p847) :args (@t670)) % 34.23/34.75 (step @p849 :rule cnf_or_pos :args (@t683)) % 34.23/34.75 (step @p850 :rule reordering :premises (@p849) :args ((or @t337 @t369 @t682 (not @t683)))) % 34.23/34.75 (step @p851 :rule chain_m_resolution :premises (@p850 @p315 @p803 @p848) :args (@t682 @t375 (@list @t336 @t368 @t683))) % 34.23/34.75 (step @p852 :rule cnf_or_pos :args (@t686)) % 34.23/34.75 (step @p853 :rule reordering :premises (@p852) :args ((or @t339 @t337 @t685 @t684 (not @t686)))) % 34.23/34.75 (step @p854 :rule chain_m_resolution :premises (@p853 @p321 @p315 @p851 @p839) :args (@t684 @t673 (@list @t338 @t336 @t682 @t686))) % 34.23/34.75 (step @p855 :rule instantiate :premises (@p838) :args ((@list @t321 @t364))) % 34.23/34.75 (step @p856 :rule aci_norm :args ((= (or @t675 @t185) (or @t232 @t355 @t185)))) % 34.23/34.75 (step @p857 :rule refl :args (@t185)) % 34.23/34.75 (step @p858 :rule nary_cong :premises (@p810 @p857) :args ((or @t676 @t185))) % 34.23/34.75 (step @p859 :rule trans :premises (@p858 @p856)) % 34.23/34.75 (step @p860 :rule bool-impl-elim :args (@t181 @t185)) % 34.23/34.75 (step @p861 :rule trans :premises (@p860 @p859)) % 34.23/34.75 (step @p862 :rule cong :premises (@p861) :args (@t186)) % 34.23/34.75 (step @p863 :rule eq_resolve :premises (@p25 @p862)) % 34.23/34.75 (step @p864 :rule instantiate :premises (@p863) :args (@t670)) % 34.23/34.75 (step @p865 :rule cnf_or_pos :args (@t688)) % 34.23/34.75 (step @p866 :rule reordering :premises (@p865) :args ((or @t337 @t369 @t687 (not @t688)))) % 34.23/34.75 (step @p867 :rule chain_m_resolution :premises (@p866 @p315 @p803 @p864) :args (@t687 @t375 (@list @t336 @t368 @t688))) % 34.23/34.75 (step @p868 :rule cnf_or_pos :args (@t691)) % 34.23/34.75 (step @p869 :rule reordering :premises (@p868) :args ((or @t339 @t337 @t690 @t689 (not @t691)))) % 34.23/34.75 (step @p870 :rule chain_m_resolution :premises (@p869 @p321 @p315 @p867 @p855) :args (@t689 @t673 (@list @t338 @t336 @t687 @t691))) % 34.23/34.75 (step @p871 :rule cnf_or_pos :args (@t696)) % 34.23/34.75 (step @p872 :rule reordering :premises (@p871) :args ((or @t695 @t694 @t692 @t693 @t697))) % 34.23/34.75 (step @p873 :rule chain_m_resolution :premises (@p872 @p870 @p854 @p824 @p806) :args (@t697 @t673 (@list @t689 @t684 @t677 @t671))) % 34.23/34.75 (step @p874 :rule aci_norm :args ((= (or @t695 @t694 @t693 @t692 false) @t696))) % 34.23/34.75 (step @p875 :rule eq-refl :args (@t366)) % 34.23/34.75 (step @p876 :rule cong :premises (@p875) :args (@t698)) % 34.23/34.75 (step @p877 :rule trans :premises (@p876 @p461)) % 34.23/34.75 (step @p878 :rule refl :args (@t692)) % 34.23/34.75 (step @p879 :rule refl :args (@t693)) % 34.23/34.75 (step @p880 :rule refl :args (@t694)) % 34.23/34.75 (step @p881 :rule refl :args (@t695)) % 34.23/34.75 (step @p882 :rule nary_cong :premises (@p881 @p880 @p879 @p878 @p877) :args (@t699)) % 34.23/34.75 (step @p883 :rule trans :premises (@p882 @p874)) % 34.23/34.75 (step @p884 :rule refl :args (@t380)) % 34.23/34.75 (step @p885 :rule cong :premises (@p884 @p883) :args ((=> @t380 @t699))) % 34.23/34.75 (assume-push @p899 @t380) % 34.23/34.75 (step @p887 :rule instantiate :premises (@p771) :args ((@list @t365 @t363 @t361))) % 34.23/34.75 (step-pop @p900 :rule scope :premises (@p887)) % 34.23/34.75 (step @p888 :rule process_scope :premises (@p900) :args (@t699)) % 34.23/34.75 (step @p890 :rule eq_resolve :premises (@p888 @p885)) % 34.23/34.75 (step @p891 :rule implies_elim :premises (@p890)) % 34.23/34.75 (step @p892 false :rule chain_m_resolution :premises (@p891 @p873 @p771) :args (false @t391 (@list @t696 @t380))) % 34.23/34.75 ) % 34.23/34.75 % SZS output end Proof % 34.23/34.75 % cvc5 exiting %------------------------------------------------------------------------------