%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP621+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 : n022.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 08:21:02 AM UTC 2026 % Result : Theorem 1.42s 1.61s % Output : Proof 1.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP621+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:21:53 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.42/1.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.42/1.61 % SZS status Theorem % 1.42/1.61 % SZS output start Proof % 1.42/1.61 ( % 1.42/1.61 (declare-sort $$unsorted 0) % 1.42/1.61 (declare-const tptp.v4_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.42/1.61 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.k7_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v1_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.k1_autgroup (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.k8_group_6 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v3_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (define @t1 () (@var "A" $$unsorted)) % 1.42/1.61 (define @t2 () (tptp.k1_autgroup @t1)) % 1.42/1.61 (define @t3 () (tptp.u1_struct_0 @t1)) % 1.42/1.61 (define @t4 () (@var "B" $$unsorted)) % 1.42/1.61 (define @t5 () (@var "C" $$unsorted)) % 1.42/1.61 (define @t6 () (tptp.m2_fraenkel (tptp.k7_funct_2 @t3 @t3 @t3 @t5 @t4) @t3 @t3 @t2)) % 1.42/1.61 (define @t7 () (tptp.m2_fraenkel @t5 @t3 @t3 @t2)) % 1.42/1.61 (define @t8 () (@list @t5)) % 1.42/1.61 (define @t9 () (forall @t8 (=> @t7 @t6))) % 1.42/1.61 (define @t10 () (tptp.m2_fraenkel @t4 @t3 @t3 @t2)) % 1.42/1.61 (define @t11 () (=> @t10 @t9)) % 1.42/1.61 (define @t12 () (@list @t4)) % 1.42/1.61 (define @t13 () (forall @t12 @t11)) % 1.42/1.61 (define @t14 () (tptp.l1_group_1 @t1)) % 1.42/1.61 (define @t15 () (tptp.v4_group_1 @t1)) % 1.42/1.61 (define @t16 () (tptp.v3_group_1 @t1)) % 1.42/1.61 (define @t17 () (tptp.v1_group_1 @t1)) % 1.42/1.61 (define @t18 () (tptp.v3_struct_0 @t1)) % 1.42/1.61 (define @t19 () (not @t18)) % 1.42/1.61 (define @t20 () (and @t19 @t17 @t16 @t15 @t14)) % 1.42/1.61 (define @t21 () (=> @t20 @t13)) % 1.42/1.61 (define @t22 () (@list @t1)) % 1.42/1.61 (define @t23 () (forall @t22 @t21)) % 1.42/1.61 (define @t24 () (not @t23)) % 1.42/1.61 (define @t25 () (tptp.u1_group_1 @t1)) % 1.42/1.61 (define @t26 () (tptp.r2_hidden @t1 @t4)) % 1.42/1.61 (define @t27 () (@list @t1 @t4)) % 1.42/1.61 (define @t28 () (tptp.v1_funct_1 @t4)) % 1.42/1.61 (define @t29 () (tptp.v1_relat_1 @t4)) % 1.42/1.61 (define @t30 () (tptp.m1_subset_1 @t4 @t1)) % 1.42/1.61 (define @t31 () (tptp.v1_fraenkel @t1)) % 1.42/1.61 (define @t32 () (tptp.v1_funct_1 @t1)) % 1.42/1.61 (define @t33 () (tptp.v1_xboole_0 @t1)) % 1.42/1.61 (define @t34 () (tptp.v1_funct_2 @t5 @t1 @t4)) % 1.42/1.61 (define @t35 () (tptp.v1_funct_1 @t5)) % 1.42/1.61 (define @t36 () (and @t35 @t34)) % 1.42/1.61 (define @t37 () (tptp.v1_partfun1 @t5 @t1 @t4)) % 1.42/1.61 (define @t38 () (tptp.m1_relset_1 @t5 @t1 @t4)) % 1.42/1.61 (define @t39 () (@list @t1 @t4 @t5)) % 1.42/1.61 (define @t40 () (tptp.v2_group_1 @t1)) % 1.42/1.61 (define @t41 () (tptp.v1_relat_1 @t5)) % 1.42/1.61 (define @t42 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t4)))) % 1.42/1.61 (define @t43 () (tptp.v2_funct_1 @t1)) % 1.42/1.61 (define @t44 () (tptp.v1_relat_1 @t1)) % 1.42/1.61 (define @t45 () (and @t44 @t32 @t43)) % 1.42/1.61 (define @t46 () (and @t44 @t33 @t32)) % 1.42/1.61 (define @t47 () (tptp.v1_xboole_0 @t4)) % 1.42/1.61 (define @t48 () (not @t47)) % 1.42/1.61 (define @t49 () (tptp.v1_xboole_0 @t5)) % 1.42/1.61 (define @t50 () (not @t49)) % 1.42/1.61 (define @t51 () (not @t33)) % 1.42/1.61 (define @t52 () (tptp.v2_funct_1 @t5)) % 1.42/1.61 (define @t53 () (and @t52 (tptp.v3_group_6 @t5 @t1 @t1))) % 1.42/1.61 (define @t54 () (= (tptp.r2_hidden @t5 @t4) @t53)) % 1.42/1.61 (define @t55 () (tptp.m2_relset_1 @t5 @t3 @t3)) % 1.42/1.61 (define @t56 () (tptp.v1_group_6 @t5 @t1 @t1)) % 1.42/1.61 (define @t57 () (tptp.v1_funct_2 @t5 @t3 @t3)) % 1.42/1.61 (define @t58 () (and @t35 @t57 @t56 @t55)) % 1.42/1.61 (define @t59 () (forall @t8 (=> @t58 @t54))) % 1.42/1.61 (define @t60 () (tptp.m2_fraenkel @t5 @t3 @t3 @t4)) % 1.42/1.61 (define @t61 () (forall @t8 (=> @t60 @t58))) % 1.42/1.61 (define @t62 () (and @t61 @t59)) % 1.42/1.61 (define @t63 () (= @t4 @t2)) % 1.42/1.61 (define @t64 () (= @t63 @t62)) % 1.42/1.61 (define @t65 () (tptp.m1_fraenkel @t4 @t3 @t3)) % 1.42/1.61 (define @t66 () (=> @t65 @t64)) % 1.42/1.61 (define @t67 () (forall @t12 @t66)) % 1.42/1.61 (define @t68 () (=> @t20 @t67)) % 1.42/1.61 (define @t69 () (forall @t22 @t68)) % 1.42/1.61 (define @t70 () (tptp.g1_group_1 @t1 @t4)) % 1.42/1.61 (define @t71 () (tptp.v1_group_1 @t70)) % 1.42/1.61 (define @t72 () (tptp.k2_zfmisc_1 @t1 @t1)) % 1.42/1.61 (define @t73 () (tptp.m1_relset_1 @t4 @t72 @t1)) % 1.42/1.61 (define @t74 () (tptp.v1_funct_2 @t4 @t72 @t1)) % 1.42/1.61 (define @t75 () (and @t28 @t74 @t73)) % 1.42/1.61 (define @t76 () (tptp.m1_fraenkel @t2 @t3 @t3)) % 1.42/1.61 (define @t77 () (forall @t22 (=> @t20 @t76))) % 1.42/1.61 (define @t78 () (tptp.k5_relat_1 @t1 @t4)) % 1.42/1.61 (define @t79 () (tptp.v1_relat_1 @t78)) % 1.42/1.61 (define @t80 () (@var "E" $$unsorted)) % 1.42/1.61 (define @t81 () (@var "D" $$unsorted)) % 1.42/1.61 (define @t82 () (tptp.k7_funct_2 @t1 @t4 @t5 @t81 @t80)) % 1.42/1.61 (define @t83 () (and (tptp.v1_funct_1 @t82) (tptp.v1_funct_2 @t82 @t1 @t5) (tptp.m2_relset_1 @t82 @t1 @t5))) % 1.42/1.61 (define @t84 () (tptp.m1_relset_1 @t80 @t4 @t5)) % 1.42/1.61 (define @t85 () (tptp.v1_funct_2 @t80 @t4 @t5)) % 1.42/1.61 (define @t86 () (tptp.v1_funct_1 @t80)) % 1.42/1.61 (define @t87 () (tptp.m1_relset_1 @t81 @t1 @t4)) % 1.42/1.61 (define @t88 () (tptp.v1_funct_2 @t81 @t1 @t4)) % 1.42/1.61 (define @t89 () (tptp.v1_funct_1 @t81)) % 1.42/1.61 (define @t90 () (and @t48 @t89 @t88 @t87 @t86 @t85 @t84)) % 1.42/1.61 (define @t91 () (@list @t1 @t4 @t5 @t81 @t80)) % 1.42/1.61 (define @t92 () (forall @t91 (=> @t90 @t83))) % 1.42/1.61 (define @t93 () (tptp.u1_struct_0 @t5)) % 1.42/1.61 (define @t94 () (tptp.k8_group_6 @t1 @t4 @t5 @t81 @t80)) % 1.42/1.61 (define @t95 () (and (tptp.v1_funct_1 @t94) (tptp.v1_funct_2 @t94 @t3 @t93) (tptp.v1_group_6 @t94 @t1 @t5) (tptp.m2_relset_1 @t94 @t3 @t93))) % 1.42/1.61 (define @t96 () (tptp.u1_struct_0 @t4)) % 1.42/1.61 (define @t97 () (tptp.m1_relset_1 @t80 @t96 @t93)) % 1.42/1.61 (define @t98 () (tptp.v1_group_6 @t80 @t4 @t5)) % 1.42/1.61 (define @t99 () (tptp.v1_funct_2 @t80 @t96 @t93)) % 1.42/1.61 (define @t100 () (tptp.m1_relset_1 @t81 @t3 @t96)) % 1.42/1.61 (define @t101 () (tptp.v1_group_6 @t81 @t1 @t4)) % 1.42/1.61 (define @t102 () (tptp.v1_funct_2 @t81 @t3 @t96)) % 1.42/1.61 (define @t103 () (tptp.l1_group_1 @t5)) % 1.42/1.61 (define @t104 () (tptp.v4_group_1 @t5)) % 1.42/1.61 (define @t105 () (tptp.v3_group_1 @t5)) % 1.42/1.61 (define @t106 () (tptp.v3_struct_0 @t5)) % 1.42/1.61 (define @t107 () (not @t106)) % 1.42/1.61 (define @t108 () (tptp.l1_group_1 @t4)) % 1.42/1.61 (define @t109 () (tptp.v4_group_1 @t4)) % 1.42/1.61 (define @t110 () (tptp.v3_group_1 @t4)) % 1.42/1.61 (define @t111 () (tptp.v3_struct_0 @t4)) % 1.42/1.61 (define @t112 () (not @t111)) % 1.42/1.61 (define @t113 () (and @t19 @t16 @t15 @t14 @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97)) % 1.42/1.61 (define @t114 () (forall @t91 (=> @t113 @t95))) % 1.42/1.61 (define @t115 () (tptp.l1_struct_0 @t1)) % 1.42/1.61 (define @t116 () (forall @t22 (=> @t14 @t115))) % 1.42/1.61 (define @t117 () (and @t50 (tptp.v1_fraenkel @t5))) % 1.42/1.61 (define @t118 () (tptp.m1_fraenkel @t5 @t1 @t4)) % 1.42/1.61 (define @t119 () (forall @t39 (=> @t118 @t117))) % 1.42/1.61 (define @t120 () (and @t89 @t88 (tptp.m2_relset_1 @t81 @t1 @t4))) % 1.42/1.61 (define @t121 () (tptp.m2_fraenkel @t81 @t1 @t4 @t5)) % 1.42/1.61 (define @t122 () (@list @t81)) % 1.42/1.61 (define @t123 () (forall @t122 (=> @t121 @t120))) % 1.42/1.61 (define @t124 () (and @t48 @t118)) % 1.42/1.61 (define @t125 () (=> @t124 @t123)) % 1.42/1.61 (define @t126 () (forall @t39 @t125)) % 1.42/1.61 (define @t127 () (tptp.m2_relset_1 @t5 @t1 @t4)) % 1.42/1.61 (define @t128 () (tptp.k2_zfmisc_1 @t3 @t3)) % 1.42/1.61 (define @t129 () (not (tptp.v1_xboole_0 @t3))) % 1.42/1.61 (define @t130 () (and @t19 @t115)) % 1.42/1.61 (define @t131 () (forall @t22 (=> @t130 @t129))) % 1.42/1.61 (define @t132 () (tptp.k5_relat_1 @t81 @t80)) % 1.42/1.61 (define @t133 () (= @t82 @t132)) % 1.42/1.61 (define @t134 () (forall @t91 (=> @t90 @t133))) % 1.42/1.61 (define @t135 () (= @t94 @t132)) % 1.42/1.61 (define @t136 () (forall @t91 (=> @t113 @t135))) % 1.42/1.61 (define @t137 () (forall @t122 (= @t121 (tptp.m1_subset_1 @t81 @t5)))) % 1.42/1.61 (define @t138 () (forall @t39 (=> @t124 @t137))) % 1.42/1.61 (define @t139 () (forall @t39 (= @t127 @t38))) % 1.42/1.61 (define @t140 () (tptp.m1_subset_1 @t1 @t4)) % 1.42/1.61 (define @t141 () (forall @t27 (=> @t26 @t140))) % 1.42/1.61 (define @t142 () (or @t47 @t26)) % 1.42/1.61 (define @t143 () (forall @t27 (=> @t140 @t142))) % 1.42/1.61 (define @t144 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t5))) % 1.42/1.61 (define @t145 () (= (tptp.r2_hidden @t4 @t2) (tptp.v4_group_6 @t4 @t1 @t1))) % 1.42/1.61 (define @t146 () (tptp.m2_relset_1 @t4 @t3 @t3)) % 1.42/1.61 (define @t147 () (tptp.v1_group_6 @t4 @t1 @t1)) % 1.42/1.61 (define @t148 () (tptp.v1_funct_2 @t4 @t3 @t3)) % 1.42/1.61 (define @t149 () (and @t28 @t148 @t147 @t146)) % 1.42/1.61 (define @t150 () (forall @t12 (=> @t149 @t145))) % 1.42/1.61 (define @t151 () (=> @t20 @t150)) % 1.42/1.61 (define @t152 () (forall @t22 @t151)) % 1.42/1.61 (define @t153 () (tptp.v4_group_6 @t94 @t1 @t5)) % 1.42/1.61 (define @t154 () (tptp.v4_group_6 @t80 @t4 @t5)) % 1.42/1.61 (define @t155 () (tptp.v4_group_6 @t81 @t1 @t4)) % 1.42/1.61 (define @t156 () (and @t155 @t154)) % 1.42/1.61 (define @t157 () (=> @t156 @t153)) % 1.42/1.61 (define @t158 () (tptp.m2_relset_1 @t80 @t96 @t93)) % 1.42/1.61 (define @t159 () (and @t86 @t99 @t98 @t158)) % 1.42/1.61 (define @t160 () (@list @t80)) % 1.42/1.61 (define @t161 () (forall @t160 (=> @t159 @t157))) % 1.42/1.61 (define @t162 () (tptp.m2_relset_1 @t81 @t3 @t96)) % 1.42/1.61 (define @t163 () (and @t89 @t102 @t101 @t162)) % 1.42/1.61 (define @t164 () (=> @t163 @t161)) % 1.42/1.61 (define @t165 () (forall @t122 @t164)) % 1.42/1.61 (define @t166 () (and @t107 @t105 @t104 @t103)) % 1.42/1.61 (define @t167 () (=> @t166 @t165)) % 1.42/1.61 (define @t168 () (forall @t8 @t167)) % 1.42/1.61 (define @t169 () (and @t112 @t110 @t109 @t108)) % 1.42/1.61 (define @t170 () (=> @t169 @t168)) % 1.42/1.61 (define @t171 () (forall @t12 @t170)) % 1.42/1.61 (define @t172 () (and @t19 @t16 @t15 @t14)) % 1.42/1.61 (define @t173 () (=> @t172 @t171)) % 1.42/1.61 (define @t174 () (forall @t22 @t173)) % 1.42/1.61 (define @t175 () (@var "BOUND_VARIABLE_8504" $$unsorted)) % 1.42/1.61 (define @t176 () (@var "BOUND_VARIABLE_8508" $$unsorted)) % 1.42/1.61 (define @t177 () (@var "BOUND_VARIABLE_8506" $$unsorted)) % 1.42/1.61 (define @t178 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 1.42/1.61 (define @t179 () (tptp.v4_group_6 (tptp.k8_group_6 @t1 @t178 @t175 @t177 @t176) @t1 @t175)) % 1.42/1.61 (define @t180 () (not (tptp.v4_group_6 @t176 @t178 @t175))) % 1.42/1.61 (define @t181 () (tptp.u1_struct_0 @t175)) % 1.42/1.61 (define @t182 () (tptp.u1_struct_0 @t178)) % 1.42/1.61 (define @t183 () (not (tptp.m2_relset_1 @t176 @t182 @t181))) % 1.42/1.61 (define @t184 () (not (tptp.v1_group_6 @t176 @t178 @t175))) % 1.42/1.61 (define @t185 () (not (tptp.v1_funct_2 @t176 @t182 @t181))) % 1.42/1.61 (define @t186 () (not (tptp.v1_funct_1 @t176))) % 1.42/1.61 (define @t187 () (not (tptp.v4_group_6 @t177 @t1 @t178))) % 1.42/1.61 (define @t188 () (not (tptp.m2_relset_1 @t177 @t3 @t182))) % 1.42/1.61 (define @t189 () (not (tptp.v1_group_6 @t177 @t1 @t178))) % 1.42/1.61 (define @t190 () (not (tptp.v1_funct_2 @t177 @t3 @t182))) % 1.42/1.61 (define @t191 () (not (tptp.v1_funct_1 @t177))) % 1.42/1.61 (define @t192 () (not (tptp.l1_group_1 @t175))) % 1.42/1.61 (define @t193 () (not (tptp.v4_group_1 @t175))) % 1.42/1.61 (define @t194 () (not (tptp.v3_group_1 @t175))) % 1.42/1.61 (define @t195 () (tptp.v3_struct_0 @t175)) % 1.42/1.61 (define @t196 () (not (tptp.l1_group_1 @t178))) % 1.42/1.61 (define @t197 () (not (tptp.v4_group_1 @t178))) % 1.42/1.61 (define @t198 () (not (tptp.v3_group_1 @t178))) % 1.42/1.61 (define @t199 () (tptp.v3_struct_0 @t178)) % 1.42/1.61 (define @t200 () (not @t14)) % 1.42/1.61 (define @t201 () (not @t15)) % 1.42/1.61 (define @t202 () (not @t16)) % 1.42/1.61 (define @t203 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t184 @t183 @t180 @t179)) % 1.42/1.61 (define @t204 () (or @t18 @t202 @t201 @t200 @t203)) % 1.42/1.61 (define @t205 () (forall (@list @t1 @t178 @t175 @t177 @t176) @t204)) % 1.42/1.61 (define @t206 () (@list @t178 @t175 @t177 @t176)) % 1.42/1.61 (define @t207 () (forall @t206 @t204)) % 1.42/1.61 (define @t208 () (forall @t206 @t203)) % 1.42/1.61 (define @t209 () (@var "BOUND_VARIABLE_8458" $$unsorted)) % 1.42/1.61 (define @t210 () (@var "BOUND_VARIABLE_8456" $$unsorted)) % 1.42/1.61 (define @t211 () (@var "BOUND_VARIABLE_8454" $$unsorted)) % 1.42/1.61 (define @t212 () (or @t18 @t202 @t201 @t200 @t208)) % 1.42/1.61 (define @t213 () (tptp.v4_group_6 (tptp.k8_group_6 @t1 @t4 @t211 @t210 @t209) @t1 @t211)) % 1.42/1.61 (define @t214 () (not (tptp.v4_group_6 @t209 @t4 @t211))) % 1.42/1.61 (define @t215 () (tptp.u1_struct_0 @t211)) % 1.42/1.61 (define @t216 () (not (tptp.m2_relset_1 @t209 @t96 @t215))) % 1.42/1.61 (define @t217 () (not (tptp.v1_group_6 @t209 @t4 @t211))) % 1.42/1.61 (define @t218 () (not (tptp.v1_funct_2 @t209 @t96 @t215))) % 1.42/1.61 (define @t219 () (not (tptp.v1_funct_1 @t209))) % 1.42/1.61 (define @t220 () (not (tptp.v4_group_6 @t210 @t1 @t4))) % 1.42/1.61 (define @t221 () (not (tptp.m2_relset_1 @t210 @t3 @t96))) % 1.42/1.61 (define @t222 () (not (tptp.v1_group_6 @t210 @t1 @t4))) % 1.42/1.61 (define @t223 () (not (tptp.v1_funct_2 @t210 @t3 @t96))) % 1.42/1.61 (define @t224 () (not (tptp.v1_funct_1 @t210))) % 1.42/1.61 (define @t225 () (not (tptp.l1_group_1 @t211))) % 1.42/1.61 (define @t226 () (not (tptp.v4_group_1 @t211))) % 1.42/1.61 (define @t227 () (not (tptp.v3_group_1 @t211))) % 1.42/1.61 (define @t228 () (tptp.v3_struct_0 @t211)) % 1.42/1.61 (define @t229 () (not @t108)) % 1.42/1.61 (define @t230 () (not @t109)) % 1.42/1.61 (define @t231 () (not @t110)) % 1.42/1.61 (define @t232 () (or @t111 @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t214 @t213)) % 1.42/1.61 (define @t233 () (@list @t4 @t211 @t210 @t209)) % 1.42/1.61 (define @t234 () (forall @t233 @t232)) % 1.42/1.61 (define @t235 () (or @t18 @t202 @t201 @t200 @t234)) % 1.42/1.61 (define @t236 () (not @t19)) % 1.42/1.61 (define @t237 () (or @t236 @t202 @t201 @t200)) % 1.42/1.61 (define @t238 () (or @t202 (or @t201 @t200))) % 1.42/1.61 (define @t239 () (not (and @t16 @t15 @t14))) % 1.42/1.61 (define @t240 () (or @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t214 @t213)) % 1.42/1.61 (define @t241 () (or @t111 @t231 @t230 @t229 @t240)) % 1.42/1.61 (define @t242 () (forall @t233 @t241)) % 1.42/1.61 (define @t243 () (@list @t211 @t210 @t209)) % 1.42/1.61 (define @t244 () (forall @t243 @t241)) % 1.42/1.61 (define @t245 () (forall @t243 @t240)) % 1.42/1.61 (define @t246 () (@var "BOUND_VARIABLE_8418" $$unsorted)) % 1.42/1.61 (define @t247 () (@var "BOUND_VARIABLE_8416" $$unsorted)) % 1.42/1.61 (define @t248 () (or @t111 @t231 @t230 @t229 @t245)) % 1.42/1.61 (define @t249 () (tptp.v4_group_6 (tptp.k8_group_6 @t1 @t4 @t5 @t247 @t246) @t1 @t5)) % 1.42/1.61 (define @t250 () (not (tptp.v4_group_6 @t246 @t4 @t5))) % 1.42/1.61 (define @t251 () (not (tptp.m2_relset_1 @t246 @t96 @t93))) % 1.42/1.61 (define @t252 () (not (tptp.v1_group_6 @t246 @t4 @t5))) % 1.42/1.61 (define @t253 () (not (tptp.v1_funct_2 @t246 @t96 @t93))) % 1.42/1.61 (define @t254 () (not (tptp.v1_funct_1 @t246))) % 1.42/1.61 (define @t255 () (not (tptp.v4_group_6 @t247 @t1 @t4))) % 1.42/1.61 (define @t256 () (not (tptp.m2_relset_1 @t247 @t3 @t96))) % 1.42/1.61 (define @t257 () (not (tptp.v1_group_6 @t247 @t1 @t4))) % 1.42/1.61 (define @t258 () (not (tptp.v1_funct_2 @t247 @t3 @t96))) % 1.42/1.61 (define @t259 () (not (tptp.v1_funct_1 @t247))) % 1.42/1.61 (define @t260 () (not @t103)) % 1.42/1.61 (define @t261 () (not @t104)) % 1.42/1.61 (define @t262 () (not @t105)) % 1.42/1.61 (define @t263 () (or @t106 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249)) % 1.42/1.61 (define @t264 () (@list @t5 @t247 @t246)) % 1.42/1.61 (define @t265 () (forall @t264 @t263)) % 1.42/1.61 (define @t266 () (or @t111 @t231 @t230 @t229 @t265)) % 1.42/1.61 (define @t267 () (not @t112)) % 1.42/1.61 (define @t268 () (or @t267 @t231 @t230 @t229)) % 1.42/1.61 (define @t269 () (or @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249)) % 1.42/1.61 (define @t270 () (or @t106 @t262 @t261 @t260 @t269)) % 1.42/1.61 (define @t271 () (forall @t264 @t270)) % 1.42/1.61 (define @t272 () (@list @t247 @t246)) % 1.42/1.61 (define @t273 () (forall @t272 @t270)) % 1.42/1.61 (define @t274 () (forall @t272 @t269)) % 1.42/1.61 (define @t275 () (@var "BOUND_VARIABLE_8390" $$unsorted)) % 1.42/1.61 (define @t276 () (or @t106 @t262 @t261 @t260 @t274)) % 1.42/1.61 (define @t277 () (tptp.v4_group_6 (tptp.k8_group_6 @t1 @t4 @t5 @t81 @t275) @t1 @t5)) % 1.42/1.61 (define @t278 () (not (tptp.v4_group_6 @t275 @t4 @t5))) % 1.42/1.61 (define @t279 () (not (tptp.m2_relset_1 @t275 @t96 @t93))) % 1.42/1.61 (define @t280 () (not (tptp.v1_group_6 @t275 @t4 @t5))) % 1.42/1.61 (define @t281 () (not (tptp.v1_funct_2 @t275 @t96 @t93))) % 1.42/1.61 (define @t282 () (not (tptp.v1_funct_1 @t275))) % 1.42/1.61 (define @t283 () (not @t155)) % 1.42/1.61 (define @t284 () (not @t162)) % 1.42/1.61 (define @t285 () (not @t101)) % 1.42/1.61 (define @t286 () (not @t102)) % 1.42/1.61 (define @t287 () (not @t89)) % 1.42/1.61 (define @t288 () (or @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277)) % 1.42/1.61 (define @t289 () (@list @t81 @t275)) % 1.42/1.61 (define @t290 () (forall @t289 @t288)) % 1.42/1.61 (define @t291 () (or @t106 @t262 @t261 @t260 @t290)) % 1.42/1.61 (define @t292 () (not @t107)) % 1.42/1.61 (define @t293 () (or @t292 @t262 @t261 @t260)) % 1.42/1.61 (define @t294 () (or @t282 @t281 @t280 @t279 @t278 @t277)) % 1.42/1.61 (define @t295 () (or @t287 @t286 @t285 @t284 @t283 @t294)) % 1.42/1.61 (define @t296 () (forall @t289 @t295)) % 1.42/1.61 (define @t297 () (@list @t275)) % 1.42/1.61 (define @t298 () (forall @t297 @t295)) % 1.42/1.61 (define @t299 () (forall @t297 @t294)) % 1.42/1.61 (define @t300 () (or @t287 @t286 @t285 @t284 @t283 @t299)) % 1.42/1.61 (define @t301 () (not @t154)) % 1.42/1.61 (define @t302 () (not @t158)) % 1.42/1.61 (define @t303 () (not @t98)) % 1.42/1.61 (define @t304 () (not @t99)) % 1.42/1.61 (define @t305 () (not @t86)) % 1.42/1.61 (define @t306 () (or @t305 @t304 @t303 @t302 @t301 @t153)) % 1.42/1.61 (define @t307 () (forall @t160 @t306)) % 1.42/1.61 (define @t308 () (or @t287 @t286 @t285 @t284 @t283 @t307)) % 1.42/1.61 (define @t309 () (or @t283 @t307)) % 1.42/1.61 (define @t310 () (or @t287 @t286 @t285 @t284)) % 1.42/1.61 (define @t311 () (or @t283 @t306)) % 1.42/1.61 (define @t312 () (or @t305 @t304 @t303 @t302 @t283 @t301 @t153)) % 1.42/1.61 (define @t313 () (or @t283 @t301 @t153)) % 1.42/1.61 (define @t314 () (or @t305 @t304 @t303 @t302)) % 1.42/1.61 (define @t315 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 1.42/1.61 (define @t316 () (@var "BOUND_VARIABLE_7848" $$unsorted)) % 1.42/1.61 (define @t317 () (tptp.m2_fraenkel (tptp.k7_funct_2 @t3 @t3 @t3 @t316 @t315) @t3 @t3 @t2)) % 1.42/1.61 (define @t318 () (not (tptp.m2_fraenkel @t316 @t3 @t3 @t2))) % 1.42/1.61 (define @t319 () (not (tptp.m2_fraenkel @t315 @t3 @t3 @t2))) % 1.42/1.61 (define @t320 () (not @t17)) % 1.42/1.61 (define @t321 () (or @t18 @t320 @t202 @t201 @t200 @t319 @t318 @t317)) % 1.42/1.61 (define @t322 () (@list @t1 @t315 @t316)) % 1.42/1.61 (define @t323 () (forall @t322 @t321)) % 1.42/1.61 (define @t324 () (@quantifiers_skolemize @t323 1)) % 1.42/1.61 (define @t325 () (@quantifiers_skolemize @t323 2)) % 1.42/1.61 (define @t326 () (@quantifiers_skolemize @t323 0)) % 1.42/1.61 (define @t327 () (@list @t326 @t326 @t326 @t325 @t324)) % 1.42/1.61 (define @t328 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 1.42/1.61 (define @t329 () (= (tptp.r2_hidden @t328 @t2) (tptp.v4_group_6 @t328 @t1 @t1))) % 1.42/1.61 (define @t330 () (not (tptp.m2_relset_1 @t328 @t3 @t3))) % 1.42/1.61 (define @t331 () (not (tptp.v1_group_6 @t328 @t1 @t1))) % 1.42/1.61 (define @t332 () (not (tptp.v1_funct_2 @t328 @t3 @t3))) % 1.42/1.61 (define @t333 () (not (tptp.v1_funct_1 @t328))) % 1.42/1.61 (define @t334 () (or @t333 @t332 @t331 @t330 @t329)) % 1.42/1.61 (define @t335 () (or @t18 @t320 @t202 @t201 @t200 @t334)) % 1.42/1.61 (define @t336 () (forall (@list @t1 @t328) @t335)) % 1.42/1.61 (define @t337 () (@list @t328)) % 1.42/1.61 (define @t338 () (forall @t337 @t335)) % 1.42/1.61 (define @t339 () (forall @t337 @t334)) % 1.42/1.61 (define @t340 () (@list @t4)) % 1.42/1.61 (define @t341 () (or @t18 @t320 @t202 @t201 @t200 @t339)) % 1.42/1.61 (define @t342 () (not @t146)) % 1.42/1.61 (define @t343 () (not @t147)) % 1.42/1.61 (define @t344 () (not @t148)) % 1.42/1.61 (define @t345 () (not @t28)) % 1.42/1.61 (define @t346 () (or @t345 @t344 @t343 @t342 @t145)) % 1.42/1.61 (define @t347 () (forall @t12 @t346)) % 1.42/1.61 (define @t348 () (or @t18 @t320 @t202 @t201 @t200 @t347)) % 1.42/1.61 (define @t349 () (or @t18 @t320 @t202 @t201 @t200)) % 1.42/1.61 (define @t350 () (or @t236 @t320 @t202 @t201 @t200)) % 1.42/1.61 (define @t351 () (not @t20)) % 1.42/1.61 (define @t352 () (or @t345 @t344 @t343 @t342)) % 1.42/1.61 (define @t353 () (@var "BOUND_VARIABLE_7999" $$unsorted)) % 1.42/1.61 (define @t354 () (tptp.r2_hidden @t5 @t353)) % 1.42/1.61 (define @t355 () (not @t55)) % 1.42/1.61 (define @t356 () (not @t56)) % 1.42/1.61 (define @t357 () (not @t57)) % 1.42/1.61 (define @t358 () (not @t35)) % 1.42/1.61 (define @t359 () (or @t358 @t357 @t356 @t355 (= @t354 @t53))) % 1.42/1.61 (define @t360 () (forall @t8 @t359)) % 1.42/1.61 (define @t361 () (forall @t8 (or (not (tptp.m2_fraenkel @t5 @t3 @t3 @t353)) @t58))) % 1.42/1.61 (define @t362 () (and @t361 @t360)) % 1.42/1.61 (define @t363 () (= (= @t353 @t2) @t362)) % 1.42/1.61 (define @t364 () (not (tptp.m1_fraenkel @t353 @t3 @t3))) % 1.42/1.61 (define @t365 () (or @t18 @t320 @t202 @t201 @t200 @t364 @t363)) % 1.42/1.61 (define @t366 () (or @t364 @t363)) % 1.42/1.61 (define @t367 () (or @t18 @t320 @t202 @t201 @t200 @t366)) % 1.42/1.61 (define @t368 () (@list @t1 @t353)) % 1.42/1.61 (define @t369 () (forall @t368 @t367)) % 1.42/1.61 (define @t370 () (@list @t353)) % 1.42/1.61 (define @t371 () (forall @t370 @t367)) % 1.42/1.61 (define @t372 () (forall @t370 @t366)) % 1.42/1.61 (define @t373 () (or @t18 @t320 @t202 @t201 @t200 @t372)) % 1.42/1.61 (define @t374 () (or @t358 @t357 @t356 @t355 @t54)) % 1.42/1.61 (define @t375 () (= @t63 (and (forall @t8 (or (not @t60) @t58)) (forall @t8 @t374)))) % 1.42/1.61 (define @t376 () (forall @t12 (or (not @t65) @t375))) % 1.42/1.61 (define @t377 () (or @t18 @t320 @t202 @t201 @t200 @t376)) % 1.42/1.61 (define @t378 () (or @t358 @t357 @t356 @t355)) % 1.42/1.61 (define @t379 () (tptp.k1_autgroup @t326)) % 1.42/1.61 (define @t380 () (tptp.u1_struct_0 @t326)) % 1.42/1.61 (define @t381 () (tptp.m2_relset_1 @t5 @t380 @t380)) % 1.42/1.61 (define @t382 () (tptp.v1_group_6 @t5 @t326 @t326)) % 1.42/1.61 (define @t383 () (tptp.v1_funct_2 @t5 @t380 @t380)) % 1.42/1.61 (define @t384 () (forall @t8 (or (not (tptp.m2_fraenkel @t5 @t380 @t380 @t379)) (and @t35 @t383 @t382 @t381)))) % 1.42/1.61 (define @t385 () (and @t384 (forall @t8 (or @t358 (not @t383) (not @t382) (not @t381) (= (and @t52 (tptp.v3_group_6 @t5 @t326 @t326)) (tptp.r2_hidden @t5 @t379)))))) % 1.42/1.61 (define @t386 () (= (= @t379 @t379) @t385)) % 1.42/1.61 (define @t387 () (tptp.m1_fraenkel @t379 @t380 @t380)) % 1.42/1.61 (define @t388 () (not @t387)) % 1.42/1.61 (define @t389 () (tptp.l1_group_1 @t326)) % 1.42/1.61 (define @t390 () (not @t389)) % 1.42/1.61 (define @t391 () (tptp.v4_group_1 @t326)) % 1.42/1.61 (define @t392 () (not @t391)) % 1.42/1.61 (define @t393 () (tptp.v3_group_1 @t326)) % 1.42/1.61 (define @t394 () (not @t393)) % 1.42/1.61 (define @t395 () (tptp.v1_group_1 @t326)) % 1.42/1.61 (define @t396 () (not @t395)) % 1.42/1.61 (define @t397 () (tptp.v3_struct_0 @t326)) % 1.42/1.61 (define @t398 () (or @t397 @t396 @t394 @t392 @t390 @t388 @t386)) % 1.42/1.61 (define @t399 () (forall @t368 (or @t18 @t320 @t202 @t201 @t200 @t364 (= (= @t2 @t353) (and @t361 (forall @t8 (or @t358 @t357 @t356 @t355 (= @t53 @t354)))))))) % 1.42/1.61 (define @t400 () (or @t397 @t396 @t394 @t392 @t390 @t388 @t385)) % 1.42/1.61 (define @t401 () (@list false)) % 1.42/1.61 (define @t402 () (@list @t326)) % 1.42/1.61 (define @t403 () (or @t319 @t318 @t317)) % 1.42/1.61 (define @t404 () (or @t18 @t320 @t202 @t201 @t200 @t403)) % 1.42/1.61 (define @t405 () (forall @t322 @t404)) % 1.42/1.61 (define @t406 () (@list @t315 @t316)) % 1.42/1.61 (define @t407 () (forall @t406 @t404)) % 1.42/1.61 (define @t408 () (forall @t406 @t403)) % 1.42/1.61 (define @t409 () (@var "BOUND_VARIABLE_7824" $$unsorted)) % 1.42/1.61 (define @t410 () (or @t18 @t320 @t202 @t201 @t200 @t408)) % 1.42/1.61 (define @t411 () (tptp.m2_fraenkel (tptp.k7_funct_2 @t3 @t3 @t3 @t409 @t4) @t3 @t3 @t2)) % 1.42/1.61 (define @t412 () (not (tptp.m2_fraenkel @t409 @t3 @t3 @t2))) % 1.42/1.61 (define @t413 () (not @t10)) % 1.42/1.61 (define @t414 () (or @t413 @t412 @t411)) % 1.42/1.61 (define @t415 () (@list @t4 @t409)) % 1.42/1.61 (define @t416 () (forall @t415 @t414)) % 1.42/1.61 (define @t417 () (or @t18 @t320 @t202 @t201 @t200 @t416)) % 1.42/1.61 (define @t418 () (or @t412 @t411)) % 1.42/1.61 (define @t419 () (or @t413 @t418)) % 1.42/1.61 (define @t420 () (forall @t415 @t419)) % 1.42/1.61 (define @t421 () (@list @t409)) % 1.42/1.61 (define @t422 () (forall @t421 @t419)) % 1.42/1.61 (define @t423 () (forall @t421 @t418)) % 1.42/1.61 (define @t424 () (or @t413 @t423)) % 1.42/1.61 (define @t425 () (forall @t8 (or (not @t7) @t6))) % 1.42/1.61 (define @t426 () (tptp.k7_funct_2 @t380 @t380 @t380 @t325 @t324)) % 1.42/1.61 (define @t427 () (tptp.m2_fraenkel @t426 @t380 @t380 @t379)) % 1.42/1.61 (define @t428 () (tptp.m2_fraenkel @t325 @t380 @t380 @t379)) % 1.42/1.61 (define @t429 () (not @t428)) % 1.42/1.61 (define @t430 () (tptp.m2_fraenkel @t324 @t380 @t380 @t379)) % 1.42/1.61 (define @t431 () (not @t430)) % 1.42/1.61 (define @t432 () (or @t397 @t396 @t394 @t392 @t390 @t431 @t429 @t427)) % 1.42/1.61 (define @t433 () (@list true)) % 1.42/1.61 (define @t434 () (@list @t432)) % 1.42/1.61 (define @t435 () (or @t397 @t396 @t394 @t392 @t390 @t387)) % 1.42/1.61 (define @t436 () (tptp.m2_relset_1 @t324 @t380 @t380)) % 1.42/1.61 (define @t437 () (tptp.v1_group_6 @t324 @t326 @t326)) % 1.42/1.61 (define @t438 () (tptp.v1_funct_2 @t324 @t380 @t380)) % 1.42/1.61 (define @t439 () (tptp.v1_funct_1 @t324)) % 1.42/1.61 (define @t440 () (and @t439 @t438 @t437 @t436)) % 1.42/1.61 (define @t441 () (or @t431 @t440)) % 1.42/1.61 (define @t442 () (@list false false)) % 1.42/1.61 (define @t443 () (@var "BOUND_VARIABLE_8089" $$unsorted)) % 1.42/1.61 (define @t444 () (and (tptp.v1_funct_1 @t443) (tptp.v1_funct_2 @t443 @t1 @t4) (tptp.m2_relset_1 @t443 @t1 @t4))) % 1.42/1.61 (define @t445 () (not (tptp.m2_fraenkel @t443 @t1 @t4 @t5))) % 1.42/1.61 (define @t446 () (not @t118)) % 1.42/1.61 (define @t447 () (or @t445 @t444)) % 1.42/1.61 (define @t448 () (or @t47 @t446 @t447)) % 1.42/1.61 (define @t449 () (forall (@list @t1 @t4 @t5 @t443) @t448)) % 1.42/1.61 (define @t450 () (@list @t443)) % 1.42/1.61 (define @t451 () (forall @t450 @t448)) % 1.42/1.61 (define @t452 () (forall @t450 @t447)) % 1.42/1.61 (define @t453 () (@list @t81)) % 1.42/1.61 (define @t454 () (or @t47 @t446 @t452)) % 1.42/1.61 (define @t455 () (forall @t122 (or (not @t121) @t120))) % 1.42/1.61 (define @t456 () (or @t47 @t446 @t455)) % 1.42/1.61 (define @t457 () (or @t47 @t446)) % 1.42/1.61 (define @t458 () (not @t48)) % 1.42/1.61 (define @t459 () (not @t124)) % 1.42/1.61 (define @t460 () (@list @t380 @t380 @t379 @t324)) % 1.42/1.61 (define @t461 () (not @t115)) % 1.42/1.61 (define @t462 () (tptp.l1_struct_0 @t326)) % 1.42/1.61 (define @t463 () (or @t390 @t462)) % 1.42/1.61 (define @t464 () (tptp.v1_xboole_0 @t380)) % 1.42/1.61 (define @t465 () (not @t464)) % 1.42/1.61 (define @t466 () (not @t462)) % 1.42/1.61 (define @t467 () (or @t397 @t466 @t465)) % 1.42/1.61 (define @t468 () (@list true false false)) % 1.42/1.61 (define @t469 () (and @t439 @t438 @t436)) % 1.42/1.61 (define @t470 () (or @t464 @t388 @t431 @t469)) % 1.42/1.61 (define @t471 () (@list false true false false)) % 1.42/1.61 (define @t472 () (not @t469)) % 1.42/1.61 (define @t473 () (@list @t469)) % 1.42/1.61 (define @t474 () (tptp.v4_group_6 @t324 @t326 @t326)) % 1.42/1.61 (define @t475 () (tptp.r2_hidden @t324 @t379)) % 1.42/1.61 (define @t476 () (= @t475 @t474)) % 1.42/1.61 (define @t477 () (not @t436)) % 1.42/1.61 (define @t478 () (not @t437)) % 1.42/1.61 (define @t479 () (not @t438)) % 1.42/1.61 (define @t480 () (not @t439)) % 1.42/1.61 (define @t481 () (or @t397 @t396 @t394 @t392 @t390 @t480 @t479 @t478 @t477 @t476)) % 1.42/1.61 (define @t482 () (@list true false false false false false false false false false)) % 1.42/1.61 (define @t483 () (not @t140)) % 1.42/1.61 (define @t484 () (tptp.v1_xboole_0 @t379)) % 1.42/1.61 (define @t485 () (not @t484)) % 1.42/1.61 (define @t486 () (and @t485 (tptp.v1_fraenkel @t379))) % 1.42/1.61 (define @t487 () (or @t388 @t486)) % 1.42/1.61 (define @t488 () (@var "BOUND_VARIABLE_8306" $$unsorted)) % 1.42/1.61 (define @t489 () (= (tptp.m2_fraenkel @t488 @t1 @t4 @t5) (tptp.m1_subset_1 @t488 @t5))) % 1.42/1.61 (define @t490 () (or @t47 @t446 @t489)) % 1.42/1.61 (define @t491 () (@list @t488)) % 1.42/1.61 (define @t492 () (forall @t491 @t490)) % 1.42/1.61 (define @t493 () (forall @t491 @t489)) % 1.42/1.61 (define @t494 () (or @t47 @t446 @t493)) % 1.42/1.61 (define @t495 () (or @t47 @t446 @t137)) % 1.42/1.61 (define @t496 () (tptp.m1_subset_1 @t324 @t379)) % 1.42/1.61 (define @t497 () (= @t430 @t496)) % 1.42/1.61 (define @t498 () (or @t464 @t388 @t497)) % 1.42/1.61 (define @t499 () (not @t496)) % 1.42/1.61 (define @t500 () (or @t499 @t484 @t475)) % 1.42/1.61 (define @t501 () (@list false true false)) % 1.42/1.61 (define @t502 () (tptp.m2_relset_1 @t325 @t380 @t380)) % 1.42/1.61 (define @t503 () (tptp.v1_group_6 @t325 @t326 @t326)) % 1.42/1.61 (define @t504 () (tptp.v1_funct_2 @t325 @t380 @t380)) % 1.42/1.61 (define @t505 () (tptp.v1_funct_1 @t325)) % 1.42/1.61 (define @t506 () (and @t505 @t504 @t503 @t502)) % 1.42/1.61 (define @t507 () (or @t429 @t506)) % 1.42/1.61 (define @t508 () (@list @t380 @t380 @t379 @t325)) % 1.42/1.61 (define @t509 () (and @t505 @t504 @t502)) % 1.42/1.61 (define @t510 () (or @t464 @t388 @t429 @t509)) % 1.42/1.61 (define @t511 () (not @t509)) % 1.42/1.61 (define @t512 () (@list @t509)) % 1.42/1.61 (define @t513 () (tptp.v4_group_6 @t325 @t326 @t326)) % 1.42/1.61 (define @t514 () (tptp.r2_hidden @t325 @t379)) % 1.42/1.61 (define @t515 () (= @t514 @t513)) % 1.42/1.61 (define @t516 () (not @t502)) % 1.42/1.61 (define @t517 () (not @t503)) % 1.42/1.61 (define @t518 () (not @t504)) % 1.42/1.61 (define @t519 () (not @t505)) % 1.42/1.61 (define @t520 () (or @t397 @t396 @t394 @t392 @t390 @t519 @t518 @t517 @t516 @t515)) % 1.42/1.61 (define @t521 () (tptp.m1_subset_1 @t325 @t379)) % 1.42/1.61 (define @t522 () (= @t428 @t521)) % 1.42/1.61 (define @t523 () (or @t464 @t388 @t522)) % 1.42/1.61 (define @t524 () (not @t521)) % 1.42/1.61 (define @t525 () (or @t524 @t484 @t514)) % 1.42/1.61 (define @t526 () (tptp.k8_group_6 @t326 @t326 @t326 @t325 @t324)) % 1.42/1.61 (define @t527 () (tptp.v4_group_6 @t526 @t326 @t326)) % 1.42/1.61 (define @t528 () (not @t474)) % 1.42/1.61 (define @t529 () (not @t513)) % 1.42/1.61 (define @t530 () (or @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t519 @t518 @t517 @t516 @t529 @t480 @t479 @t478 @t477 @t528 @t527)) % 1.42/1.61 (define @t531 () (not @t97)) % 1.42/1.61 (define @t532 () (not @t100)) % 1.42/1.61 (define @t533 () (or @t18 @t202 @t201 @t200 @t111 @t231 @t230 @t229 @t106 @t262 @t261 @t260 @t287 @t286 @t285 @t532 @t305 @t304 @t303 @t531 @t135)) % 1.42/1.61 (define @t534 () (or @t18 @t202 @t201 @t200 @t111 @t231 @t230 @t229 @t106 @t262 @t261 @t260 @t287 @t286 @t285 @t532 @t305 @t304 @t303 @t531)) % 1.42/1.61 (define @t535 () (or @t236 @t202 @t201 @t200 @t267 @t231 @t230 @t229 @t292 @t262 @t261 @t260 @t287 @t286 @t285 @t532 @t305 @t304 @t303 @t531)) % 1.42/1.61 (define @t536 () (not @t113)) % 1.42/1.61 (define @t537 () (tptp.k5_relat_1 @t325 @t324)) % 1.42/1.61 (define @t538 () (tptp.m1_relset_1 @t324 @t380 @t380)) % 1.42/1.61 (define @t539 () (not @t538)) % 1.42/1.61 (define @t540 () (tptp.m1_relset_1 @t325 @t380 @t380)) % 1.42/1.61 (define @t541 () (not @t540)) % 1.42/1.61 (define @t542 () (or @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t519 @t518 @t517 @t541 @t480 @t479 @t478 @t539 (= @t526 @t537))) % 1.42/1.61 (define @t543 () (forall @t91 @t533)) % 1.42/1.61 (define @t544 () (= @t537 @t526)) % 1.42/1.61 (define @t545 () (or @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t519 @t518 @t517 @t541 @t480 @t479 @t478 @t539 @t544)) % 1.42/1.61 (define @t546 () (= @t538 @t436)) % 1.42/1.61 (define @t547 () (= @t540 @t502)) % 1.42/1.61 (define @t548 () (@list true false false false false false false false false false false false false)) % 1.42/1.61 (define @t549 () (not @t84)) % 1.42/1.61 (define @t550 () (not @t85)) % 1.42/1.61 (define @t551 () (not @t87)) % 1.42/1.61 (define @t552 () (not @t88)) % 1.42/1.61 (define @t553 () (or @t47 @t287 @t552 @t551 @t305 @t550 @t549)) % 1.42/1.61 (define @t554 () (or @t458 @t287 @t552 @t551 @t305 @t550 @t549)) % 1.42/1.61 (define @t555 () (not @t90)) % 1.42/1.61 (define @t556 () (@list @t380 @t380 @t380 @t325 @t324)) % 1.42/1.61 (define @t557 () (= @t426 @t537)) % 1.42/1.61 (define @t558 () (or @t464 @t519 @t518 @t541 @t480 @t479 @t539 @t557)) % 1.42/1.61 (define @t559 () (@list true false false false false false false false)) % 1.42/1.61 (define @t560 () (tptp.v4_group_6 @t426 @t326 @t326)) % 1.42/1.61 (define @t561 () (tptp.v1_group_6 @t526 @t326 @t326)) % 1.42/1.61 (define @t562 () (and (tptp.v1_funct_1 @t526) (tptp.v1_funct_2 @t526 @t380 @t380) @t561 (tptp.m2_relset_1 @t526 @t380 @t380))) % 1.42/1.61 (define @t563 () (or @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t397 @t394 @t392 @t390 @t519 @t518 @t517 @t541 @t480 @t479 @t478 @t539 @t562)) % 1.42/1.61 (define @t564 () (tptp.v1_group_6 @t426 @t326 @t326)) % 1.42/1.61 (define @t565 () (tptp.m2_relset_1 @t426 @t380 @t380)) % 1.42/1.61 (define @t566 () (tptp.v1_funct_2 @t426 @t380 @t380)) % 1.42/1.61 (define @t567 () (tptp.v1_funct_1 @t426)) % 1.42/1.61 (define @t568 () (and @t567 @t566 @t565)) % 1.42/1.61 (define @t569 () (or @t464 @t519 @t518 @t541 @t480 @t479 @t539 @t568)) % 1.42/1.61 (define @t570 () (not @t568)) % 1.42/1.61 (define @t571 () (@list @t568)) % 1.42/1.61 (define @t572 () (tptp.r2_hidden @t426 @t379)) % 1.42/1.61 (define @t573 () (= @t572 @t560)) % 1.42/1.61 (define @t574 () (not @t565)) % 1.42/1.61 (define @t575 () (not @t564)) % 1.42/1.61 (define @t576 () (not @t566)) % 1.42/1.61 (define @t577 () (not @t567)) % 1.42/1.61 (define @t578 () (or @t397 @t396 @t394 @t392 @t390 @t577 @t576 @t575 @t574 @t573)) % 1.42/1.61 (define @t579 () (tptp.m1_subset_1 @t426 @t379)) % 1.42/1.61 (define @t580 () (= @t427 @t579)) % 1.42/1.61 (define @t581 () (or @t464 @t388 @t580)) % 1.42/1.61 (define @t582 () (not @t579)) % 1.42/1.61 (define @t583 () (@list true false)) % 1.42/1.61 (define @t584 () (not @t572)) % 1.42/1.61 (define @t585 () (or @t584 @t579)) % 1.42/1.61 (define @t586 () (not @t560)) % 1.42/1.61 (assume @p1 @t24) % 1.42/1.61 (assume @p2 (forall @t22 (=> @t14 (=> @t17 (= @t1 (tptp.g1_group_1 @t3 @t25)))))) % 1.42/1.61 (assume @p3 (forall @t27 (=> @t26 (not (tptp.r2_hidden @t4 @t1))))) % 1.42/1.61 (assume @p4 (forall @t22 (=> @t31 (forall @t12 (=> @t30 (and @t29 @t28)))))) % 1.42/1.61 (assume @p5 (forall @t22 (=> @t33 @t32))) % 1.42/1.61 (assume @p6 (forall @t39 (=> @t38 (=> (and @t35 @t37) @t36)))) % 1.42/1.61 (assume @p7 (forall @t22 (=> @t14 (=> (and @t19 @t16) (and @t19 @t40))))) % 1.42/1.61 (assume @p8 (forall @t39 (=> @t42 @t41))) % 1.42/1.61 (assume @p9 (forall @t22 (=> @t46 @t45))) % 1.42/1.61 (assume @p10 (forall @t27 (=> @t48 (forall @t8 (=> @t38 (=> @t36 (and @t35 @t37 @t34))))))) % 1.42/1.61 (assume @p11 (forall @t27 (=> (and @t51 @t48) (forall @t8 (=> @t38 (=> @t36 (and @t35 @t50 @t37 @t34))))))) % 1.42/1.61 (assume @p12 @t69) % 1.42/1.61 (assume @p13 (forall @t27 (=> @t75 (and @t71 (tptp.l1_group_1 @t70))))) % 1.42/1.61 (assume @p14 @t77) % 1.42/1.61 (assume @p15 true) % 1.42/1.61 (assume @p16 (forall @t27 (=> (and @t44 @t29) @t79))) % 1.42/1.61 (assume @p17 @t92) % 1.42/1.61 (assume @p18 @t114) % 1.42/1.61 (assume @p19 @t116) % 1.42/1.61 (assume @p20 @t119) % 1.42/1.61 (assume @p21 @t126) % 1.42/1.61 (assume @p22 (forall @t39 (=> @t127 @t42))) % 1.42/1.61 (assume @p23 (forall @t22 (=> @t14 (and (tptp.v1_funct_1 @t25) (tptp.v1_funct_2 @t25 @t128 @t3) (tptp.m2_relset_1 @t25 @t128 @t3))))) % 1.42/1.61 (assume @p24 (exists @t22 @t14)) % 1.42/1.61 (assume @p25 (exists @t22 @t115)) % 1.42/1.61 (assume @p26 (forall @t27 (exists @t8 @t118))) % 1.42/1.61 (assume @p27 (forall @t27 (exists @t8 @t38))) % 1.42/1.61 (assume @p28 (forall @t22 (exists @t12 @t30))) % 1.42/1.61 (assume @p29 (forall @t39 (=> @t124 (exists @t122 @t121)))) % 1.42/1.61 (assume @p30 (forall @t27 (exists @t8 @t127))) % 1.42/1.61 (assume @p31 (forall @t27 (=> (and @t44 @t32 @t29 @t28) (and @t79 (tptp.v1_funct_1 @t78))))) % 1.42/1.61 (assume @p32 (forall @t27 (=> (and @t51 @t28 @t74 @t73) (and (not (tptp.v3_struct_0 @t70)) @t71)))) % 1.42/1.61 (assume @p33 @t131) % 1.42/1.61 (assume @p34 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.42/1.61 (assume @p35 (forall @t27 (=> @t75 (forall (@list @t5 @t81) (=> (= @t70 (tptp.g1_group_1 @t5 @t81)) (and (= @t1 @t5) (= @t4 @t81))))))) % 1.42/1.61 (assume @p36 (exists @t22 (and @t51 @t31))) % 1.42/1.61 (assume @p37 (exists @t22 (and @t44 @t32))) % 1.42/1.61 (assume @p38 (forall @t27 (exists @t8 (and @t38 @t41 @t35 @t34)))) % 1.42/1.61 (assume @p39 (exists @t22 (and @t14 @t17))) % 1.42/1.61 (assume @p40 (exists @t22 (and @t44 @t32 @t43 @t33))) % 1.42/1.61 (assume @p41 (exists @t22 @t33)) % 1.42/1.61 (assume @p42 (exists @t22 @t46)) % 1.42/1.61 (assume @p43 (exists @t22 (and @t14 @t19 @t17))) % 1.42/1.61 (assume @p44 (forall @t27 (=> (and @t19 @t16 @t15 @t14 @t112 @t110 @t109 @t108) (exists @t8 (and (tptp.m1_relset_1 @t5 @t3 @t96) @t50 @t41 @t35 (tptp.v1_funct_2 @t5 @t3 @t96) (tptp.v1_partfun1 @t5 @t3 @t96) (tptp.v1_group_6 @t5 @t1 @t4)))))) % 1.42/1.61 (assume @p45 (forall @t27 (exists @t8 (and @t38 @t41 @t35)))) % 1.42/1.61 (assume @p46 (exists @t22 @t51)) % 1.42/1.61 (assume @p47 (exists @t22 @t45)) % 1.42/1.61 (assume @p48 (exists @t22 (and @t14 @t19 @t17 @t40 @t16 @t15))) % 1.42/1.61 (assume @p49 (exists @t22 (and @t115 @t19))) % 1.42/1.61 (assume @p50 (forall @t22 (=> @t130 (exists @t12 (and (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t3)) @t48))))) % 1.42/1.61 (assume @p51 @t134) % 1.42/1.61 (assume @p52 @t136) % 1.42/1.61 (assume @p53 @t138) % 1.42/1.61 (assume @p54 @t139) % 1.42/1.61 (assume @p55 (forall @t27 (tptp.r1_tarski @t1 @t1))) % 1.42/1.61 (assume @p56 @t141) % 1.42/1.61 (assume @p57 @t143) % 1.42/1.61 (assume @p58 (forall @t27 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t1 @t4)))) % 1.42/1.61 (assume @p59 (forall @t39 (=> (and @t26 @t144) (tptp.m1_subset_1 @t1 @t5)))) % 1.42/1.61 (assume @p60 @t152) % 1.42/1.61 (assume @p61 (forall @t39 (not (and @t26 @t144 @t49)))) % 1.42/1.61 (assume @p62 (forall @t22 (=> @t33 (= @t1 tptp.k1_xboole_0)))) % 1.42/1.61 (assume @p63 @t174) % 1.42/1.61 (assume @p64 (forall @t27 (not (and @t26 @t47)))) % 1.42/1.61 (assume @p65 (forall @t27 (not (and @t33 (not (= @t1 @t4)) @t47)))) % 1.42/1.61 (step @p66 :rule evaluate :args ((= false true))) % 1.42/1.61 (step @p67 :rule aci_norm :args ((= @t204 (or @t18 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t184 @t183 @t180 @t179)))) % 1.42/1.61 (step @p68 :rule cong :premises (@p67) :args (@t205)) % 1.42/1.61 (step @p69 :rule quant-merge-prenex :args ((= (forall @t22 @t207) @t205))) % 1.42/1.61 (step @p70 :rule alpha_equiv :args (@t208 (@list @t178 @t175 @t177 @t176) (@list @t4 @t211 @t210 @t209))) % 1.42/1.61 (step @p71 :rule refl :args (@t200)) % 1.42/1.61 (step @p72 :rule refl :args (@t201)) % 1.42/1.61 (step @p73 :rule refl :args (@t202)) % 1.42/1.61 (step @p74 :rule refl :args (@t18)) % 1.42/1.61 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71 @p70) :args (@t212)) % 1.42/1.61 (step @p76 :rule quant-miniscope-or :args ((= @t207 @t212))) % 1.42/1.61 (step @p77 :rule trans :premises (@p76 @p75)) % 1.42/1.61 (step @p78 :rule symm :premises (@p77)) % 1.42/1.61 (step @p79 :rule cong :premises (@p78) :args ((forall @t22 @t235))) % 1.42/1.61 (step @p80 :rule trans :premises (@p79 @p69)) % 1.42/1.61 (step @p81 :rule trans :premises (@p80 @p68)) % 1.42/1.61 (step @p82 :rule aci_norm :args ((= (or (or @t18 @t202 @t201 @t200) @t234) @t235))) % 1.42/1.61 (step @p83 :rule refl :args (@t234)) % 1.42/1.61 (step @p84 :rule bool-double-not-elim :args (@t18)) % 1.42/1.61 (step @p85 :rule nary_cong :premises (@p84 @p73 @p72 @p71) :args (@t237)) % 1.42/1.61 (step @p86 :rule aci_norm :args ((= (or @t236 @t238) @t237))) % 1.42/1.61 (step @p87 :rule trans :premises (@p86 @p85)) % 1.42/1.61 (step @p88 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 1.42/1.61 (step @p89 :rule nary_cong :premises (@p73 @p88) :args ((or @t202 (not (and @t15 @t14))))) % 1.42/1.61 (step @p90 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14))) % 1.42/1.61 (step @p91 :rule trans :premises (@p90 @p89)) % 1.42/1.61 (step @p92 :rule refl :args (@t236)) % 1.42/1.61 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t236 @t239))) % 1.42/1.61 (step @p94 :rule bool-and-de-morgan :args (@t19 @t16 (and @t15 @t14))) % 1.42/1.61 (step @p95 :rule trans :premises (@p94 @p93)) % 1.42/1.61 (step @p96 :rule trans :premises (@p95 @p87)) % 1.42/1.61 (step @p97 :rule nary_cong :premises (@p96 @p83) :args ((or (not @t172) @t234))) % 1.42/1.61 (step @p98 :rule trans :premises (@p97 @p82)) % 1.42/1.61 (step @p99 :rule bool-impl-elim :args (@t172 @t234)) % 1.42/1.61 (step @p100 :rule trans :premises (@p99 @p98)) % 1.42/1.61 (step @p101 :rule cong :premises (@p100) :args ((forall @t22 (=> @t172 @t234)))) % 1.42/1.61 (step @p102 :rule trans :premises (@p101 @p81)) % 1.42/1.61 (step @p103 :rule aci_norm :args ((= @t241 @t232))) % 1.42/1.61 (step @p104 :rule cong :premises (@p103) :args (@t242)) % 1.42/1.61 (step @p105 :rule quant-merge-prenex :args ((= (forall @t12 @t244) @t242))) % 1.42/1.61 (step @p106 :rule alpha_equiv :args (@t245 (@list @t211 @t210 @t209) (@list @t5 @t247 @t246))) % 1.42/1.61 (step @p107 :rule refl :args (@t229)) % 1.42/1.61 (step @p108 :rule refl :args (@t230)) % 1.42/1.61 (step @p109 :rule refl :args (@t231)) % 1.42/1.61 (step @p110 :rule refl :args (@t111)) % 1.42/1.61 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p106) :args (@t248)) % 1.42/1.61 (step @p112 :rule quant-miniscope-or :args ((= @t244 @t248))) % 1.42/1.61 (step @p113 :rule trans :premises (@p112 @p111)) % 1.42/1.61 (step @p114 :rule symm :premises (@p113)) % 1.42/1.61 (step @p115 :rule cong :premises (@p114) :args ((forall @t12 @t266))) % 1.42/1.61 (step @p116 :rule trans :premises (@p115 @p105)) % 1.42/1.61 (step @p117 :rule trans :premises (@p116 @p104)) % 1.42/1.61 (step @p118 :rule aci_norm :args ((= (or (or @t111 @t231 @t230 @t229) @t265) @t266))) % 1.42/1.61 (step @p119 :rule refl :args (@t265)) % 1.42/1.61 (step @p120 :rule bool-double-not-elim :args (@t111)) % 1.42/1.61 (step @p121 :rule nary_cong :premises (@p120 @p109 @p108 @p107) :args (@t268)) % 1.42/1.61 (step @p122 :rule aci_norm :args ((= (or @t267 (or @t231 (or @t230 @t229))) @t268))) % 1.42/1.61 (step @p123 :rule trans :premises (@p122 @p121)) % 1.42/1.61 (step @p124 :rule bool-and-de-morgan :args (@t109 @t108 true)) % 1.42/1.61 (step @p125 :rule nary_cong :premises (@p109 @p124) :args ((or @t231 (not (and @t109 @t108))))) % 1.42/1.61 (step @p126 :rule bool-and-de-morgan :args (@t110 @t109 (and @t108))) % 1.42/1.61 (step @p127 :rule trans :premises (@p126 @p125)) % 1.42/1.61 (step @p128 :rule refl :args (@t267)) % 1.42/1.61 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t267 (not (and @t110 @t109 @t108))))) % 1.42/1.61 (step @p130 :rule bool-and-de-morgan :args (@t112 @t110 (and @t109 @t108))) % 1.42/1.61 (step @p131 :rule trans :premises (@p130 @p129)) % 1.42/1.61 (step @p132 :rule trans :premises (@p131 @p123)) % 1.42/1.61 (step @p133 :rule nary_cong :premises (@p132 @p119) :args ((or (not @t169) @t265))) % 1.42/1.61 (step @p134 :rule trans :premises (@p133 @p118)) % 1.42/1.61 (step @p135 :rule bool-impl-elim :args (@t169 @t265)) % 1.42/1.61 (step @p136 :rule trans :premises (@p135 @p134)) % 1.42/1.61 (step @p137 :rule cong :premises (@p136) :args ((forall @t12 (=> @t169 @t265)))) % 1.42/1.61 (step @p138 :rule trans :premises (@p137 @p117)) % 1.42/1.61 (step @p139 :rule aci_norm :args ((= @t270 @t263))) % 1.42/1.61 (step @p140 :rule cong :premises (@p139) :args (@t271)) % 1.42/1.61 (step @p141 :rule quant-merge-prenex :args ((= (forall @t8 @t273) @t271))) % 1.42/1.61 (step @p142 :rule alpha_equiv :args (@t274 (@list @t247 @t246) (@list @t81 @t275))) % 1.42/1.61 (step @p143 :rule refl :args (@t260)) % 1.42/1.61 (step @p144 :rule refl :args (@t261)) % 1.42/1.61 (step @p145 :rule refl :args (@t262)) % 1.42/1.61 (step @p146 :rule refl :args (@t106)) % 1.42/1.61 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143 @p142) :args (@t276)) % 1.42/1.61 (step @p148 :rule quant-miniscope-or :args ((= @t273 @t276))) % 1.42/1.61 (step @p149 :rule trans :premises (@p148 @p147)) % 1.42/1.61 (step @p150 :rule symm :premises (@p149)) % 1.42/1.61 (step @p151 :rule cong :premises (@p150) :args ((forall @t8 @t291))) % 1.42/1.61 (step @p152 :rule trans :premises (@p151 @p141)) % 1.42/1.61 (step @p153 :rule trans :premises (@p152 @p140)) % 1.42/1.61 (step @p154 :rule aci_norm :args ((= (or (or @t106 @t262 @t261 @t260) @t290) @t291))) % 1.42/1.61 (step @p155 :rule refl :args (@t290)) % 1.42/1.61 (step @p156 :rule bool-double-not-elim :args (@t106)) % 1.42/1.61 (step @p157 :rule nary_cong :premises (@p156 @p145 @p144 @p143) :args (@t293)) % 1.42/1.61 (step @p158 :rule aci_norm :args ((= (or @t292 (or @t262 (or @t261 @t260))) @t293))) % 1.42/1.61 (step @p159 :rule trans :premises (@p158 @p157)) % 1.42/1.61 (step @p160 :rule bool-and-de-morgan :args (@t104 @t103 true)) % 1.42/1.61 (step @p161 :rule nary_cong :premises (@p145 @p160) :args ((or @t262 (not (and @t104 @t103))))) % 1.42/1.61 (step @p162 :rule bool-and-de-morgan :args (@t105 @t104 (and @t103))) % 1.42/1.61 (step @p163 :rule trans :premises (@p162 @p161)) % 1.42/1.61 (step @p164 :rule refl :args (@t292)) % 1.42/1.61 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t292 (not (and @t105 @t104 @t103))))) % 1.42/1.61 (step @p166 :rule bool-and-de-morgan :args (@t107 @t105 (and @t104 @t103))) % 1.42/1.61 (step @p167 :rule trans :premises (@p166 @p165)) % 1.42/1.61 (step @p168 :rule trans :premises (@p167 @p159)) % 1.42/1.61 (step @p169 :rule nary_cong :premises (@p168 @p155) :args ((or (not @t166) @t290))) % 1.42/1.61 (step @p170 :rule trans :premises (@p169 @p154)) % 1.42/1.61 (step @p171 :rule bool-impl-elim :args (@t166 @t290)) % 1.42/1.61 (step @p172 :rule trans :premises (@p171 @p170)) % 1.42/1.61 (step @p173 :rule cong :premises (@p172) :args ((forall @t8 (=> @t166 @t290)))) % 1.42/1.61 (step @p174 :rule trans :premises (@p173 @p153)) % 1.42/1.61 (step @p175 :rule 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:premises (@p189 @p176)) % 1.42/1.61 (step @p191 :rule aci_norm :args ((= (or @t310 @t309) @t308))) % 1.42/1.61 (step @p192 :rule refl :args (@t309)) % 1.42/1.61 (step @p193 :rule aci_norm :args ((= (or @t287 (or @t286 (or @t285 @t284))) @t310))) % 1.42/1.61 (step @p194 :rule bool-and-de-morgan :args (@t101 @t162 true)) % 1.42/1.61 (step @p195 :rule nary_cong :premises (@p182 @p194) :args ((or @t286 (not (and @t101 @t162))))) % 1.42/1.61 (step @p196 :rule bool-and-de-morgan :args (@t102 @t101 (and @t162))) % 1.42/1.61 (step @p197 :rule trans :premises (@p196 @p195)) % 1.42/1.61 (step @p198 :rule nary_cong :premises (@p183 @p197) :args ((or @t287 (not (and @t102 @t101 @t162))))) % 1.42/1.61 (step @p199 :rule bool-and-de-morgan :args (@t89 @t102 (and @t101 @t162))) % 1.42/1.61 (step @p200 :rule trans :premises (@p199 @p198)) % 1.42/1.61 (step @p201 :rule trans :premises (@p200 @p193)) % 1.42/1.61 (step @p202 :rule nary_cong :premises (@p201 @p192) :args ((or (not @t163) @t309))) % 1.42/1.61 (step @p203 :rule trans :premises (@p202 @p191)) % 1.42/1.61 (step @p204 :rule bool-impl-elim :args (@t163 @t309)) % 1.42/1.61 (step @p205 :rule trans :premises (@p204 @p203)) % 1.42/1.61 (step @p206 :rule cong :premises (@p205) :args ((forall @t122 (=> @t163 @t309)))) % 1.42/1.61 (step @p207 :rule trans :premises (@p206 @p190)) % 1.42/1.61 (step @p208 :rule quant-miniscope-or :args ((= (forall @t160 @t311) @t309))) % 1.42/1.61 (step @p209 :rule aci_norm :args ((= @t312 @t311))) % 1.42/1.61 (step @p210 :rule cong :premises (@p209) :args ((forall @t160 @t312))) % 1.42/1.61 (step @p211 :rule trans :premises (@p210 @p208)) % 1.42/1.61 (step @p212 :rule aci_norm :args ((= (or @t314 @t313) @t312))) % 1.42/1.61 (step @p213 :rule aci_norm :args ((= (or (or @t283 @t301) @t153) @t313))) % 1.42/1.61 (step @p214 :rule refl :args (@t153)) % 1.42/1.61 (step @p215 :rule bool-and-de-morgan :args (@t155 @t154 true)) % 1.42/1.61 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or 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(step @p230 :rule trans :premises (@p229 @p220)) % 1.42/1.61 (step @p231 :rule nary_cong :premises (@p230 @p219) :args ((or (not @t159) @t157))) % 1.42/1.61 (step @p232 :rule trans :premises (@p231 @p212)) % 1.42/1.61 (step @p233 :rule bool-impl-elim :args (@t159 @t157)) % 1.42/1.61 (step @p234 :rule trans :premises (@p233 @p232)) % 1.42/1.61 (step @p235 :rule cong :premises (@p234) :args (@t161)) % 1.42/1.61 (step @p236 :rule trans :premises (@p235 @p211)) % 1.42/1.61 (step @p237 :rule refl :args (@t163)) % 1.42/1.61 (step @p238 :rule cong :premises (@p237 @p236) :args (@t164)) % 1.42/1.61 (step @p239 :rule cong :premises (@p238) :args (@t165)) % 1.42/1.61 (step @p240 :rule trans :premises (@p239 @p207)) % 1.42/1.61 (step @p241 :rule refl :args (@t166)) % 1.42/1.61 (step @p242 :rule cong :premises (@p241 @p240) :args (@t167)) % 1.42/1.61 (step @p243 :rule cong :premises (@p242) :args (@t168)) % 1.42/1.61 (step @p244 :rule trans :premises (@p243 @p174)) % 1.42/1.61 (step @p245 :rule 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% 1.42/1.62 (step @p685 :rule trans :premises (@p684 @p683)) % 1.42/1.62 (step @p686 :rule nary_cong :premises (@p226 @p685) :args ((or @t305 (not (and @t99 @t98 @t97))))) % 1.42/1.62 (step @p687 :rule bool-and-de-morgan :args (@t86 @t99 (and @t98 @t97))) % 1.42/1.62 (step @p688 :rule trans :premises (@p687 @p686)) % 1.42/1.62 (step @p689 :rule nary_cong :premises (@p678 @p688) :args ((or @t532 (not (and @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p690 :rule bool-and-de-morgan :args (@t100 @t86 (and @t99 @t98 @t97))) % 1.42/1.62 (step @p691 :rule trans :premises (@p690 @p689)) % 1.42/1.62 (step @p692 :rule nary_cong :premises (@p181 @p691) :args ((or @t285 (not (and @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p693 :rule bool-and-de-morgan :args (@t101 @t100 (and @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p694 :rule trans :premises (@p693 @p692)) % 1.42/1.62 (step @p695 :rule nary_cong :premises (@p182 @p694) :args ((or @t286 (not (and @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p696 :rule bool-and-de-morgan :args (@t102 @t101 (and @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p697 :rule trans :premises (@p696 @p695)) % 1.42/1.62 (step @p698 :rule nary_cong :premises (@p183 @p697) :args ((or @t287 (not (and @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p699 :rule bool-and-de-morgan :args (@t89 @t102 (and @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p700 :rule trans :premises (@p699 @p698)) % 1.42/1.62 (step @p701 :rule nary_cong :premises (@p143 @p700) :args ((or @t260 (not (and @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p702 :rule bool-and-de-morgan :args (@t103 @t89 (and @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p703 :rule trans :premises (@p702 @p701)) % 1.42/1.62 (step @p704 :rule nary_cong :premises (@p144 @p703) :args ((or @t261 (not (and @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p705 :rule bool-and-de-morgan :args (@t104 @t103 (and @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p706 :rule trans :premises (@p705 @p704)) % 1.42/1.62 (step @p707 :rule nary_cong :premises (@p145 @p706) :args ((or @t262 (not (and @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p708 :rule bool-and-de-morgan :args (@t105 @t104 (and @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p709 :rule trans :premises (@p708 @p707)) % 1.42/1.62 (step @p710 :rule nary_cong :premises (@p164 @p709) :args ((or @t292 (not (and @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p711 :rule bool-and-de-morgan :args (@t107 @t105 (and @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p712 :rule trans :premises (@p711 @p710)) % 1.42/1.62 (step @p713 :rule nary_cong :premises (@p107 @p712) :args ((or @t229 (not (and @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p714 :rule bool-and-de-morgan :args (@t108 @t107 (and @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p715 :rule trans :premises (@p714 @p713)) % 1.42/1.62 (step @p716 :rule nary_cong :premises (@p108 @p715) :args ((or @t230 (not (and @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p717 :rule bool-and-de-morgan :args (@t109 @t108 (and @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p718 :rule trans :premises (@p717 @p716)) % 1.42/1.62 (step @p719 :rule nary_cong :premises (@p109 @p718) :args ((or @t231 (not (and @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p720 :rule bool-and-de-morgan :args (@t110 @t109 (and @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p721 :rule trans :premises (@p720 @p719)) % 1.42/1.62 (step @p722 :rule nary_cong :premises (@p128 @p721) :args ((or @t267 (not (and @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p723 :rule bool-and-de-morgan :args (@t112 @t110 (and @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p724 :rule trans :premises (@p723 @p722)) % 1.42/1.62 (step @p725 :rule nary_cong :premises (@p71 @p724) :args ((or @t200 (not (and @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p726 :rule bool-and-de-morgan :args (@t14 @t112 (and @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p727 :rule trans :premises (@p726 @p725)) % 1.42/1.62 (step @p728 :rule nary_cong :premises (@p72 @p727) :args ((or @t201 (not (and @t14 @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p729 :rule bool-and-de-morgan :args (@t15 @t14 (and @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p730 :rule trans :premises (@p729 @p728)) % 1.42/1.62 (step @p731 :rule nary_cong :premises (@p73 @p730) :args ((or @t202 (not (and @t15 @t14 @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p732 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14 @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p733 :rule trans :premises (@p732 @p731)) % 1.42/1.62 (step @p734 :rule nary_cong :premises (@p92 @p733) :args ((or @t236 (not (and @t16 @t15 @t14 @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))))) % 1.42/1.62 (step @p735 :rule bool-and-de-morgan :args (@t19 @t16 (and @t15 @t14 @t112 @t110 @t109 @t108 @t107 @t105 @t104 @t103 @t89 @t102 @t101 @t100 @t86 @t99 @t98 @t97))) % 1.42/1.62 (step @p736 :rule trans :premises (@p735 @p734)) % 1.42/1.62 (step @p737 :rule trans :premises (@p736 @p681)) % 1.42/1.62 (step @p738 :rule nary_cong :premises (@p737 @p675) :args ((or @t536 @t135))) % 1.42/1.62 (step @p739 :rule trans :premises (@p738 @p674)) % 1.42/1.62 (step @p740 :rule bool-impl-elim :args (@t113 @t135)) % 1.42/1.62 (step @p741 :rule trans :premises (@p740 @p739)) % 1.42/1.62 (step @p742 :rule cong :premises (@p741) :args (@t136)) % 1.42/1.62 (step @p743 :rule eq_resolve :premises (@p52 @p742)) % 1.42/1.62 (step @p744 :rule eq-symm :args (@t526 @t537)) % 1.42/1.62 (step @p745 :rule refl :args (@t539)) % 1.42/1.62 (step @p746 :rule refl :args (@t478)) % 1.42/1.62 (step @p747 :rule refl :args (@t479)) % 1.42/1.62 (step @p748 :rule refl :args (@t480)) % 1.42/1.62 (step @p749 :rule refl :args (@t541)) % 1.42/1.62 (step @p750 :rule refl :args (@t517)) % 1.42/1.62 (step @p751 :rule refl :args (@t518)) % 1.42/1.62 (step @p752 :rule refl :args (@t519)) % 1.42/1.62 (step @p753 :rule nary_cong :premises (@p392 @p390 @p389 @p388 @p392 @p390 @p389 @p388 @p392 @p390 @p389 @p388 @p752 @p751 @p750 @p749 @p748 @p747 @p746 @p745 @p744) :args (@t542)) % 1.42/1.62 (step @p754 :rule refl :args (@t543)) % 1.42/1.62 (step @p755 :rule cong :premises (@p754 @p753) :args ((=> @t543 @t542))) % 1.42/1.62 (assume-push @p887 @t543) % 1.42/1.62 (step @p757 :rule instantiate :premises (@p743) :args (@t327)) % 1.42/1.62 (step-pop @p888 :rule scope :premises (@p757)) % 1.42/1.62 (step @p758 :rule process_scope :premises (@p888) :args (@t542)) % 1.42/1.62 (step @p760 :rule eq_resolve :premises (@p758 @p755)) % 1.42/1.62 (step @p761 :rule implies_elim :premises (@p760)) % 1.42/1.62 (step @p762 :rule chain_m_resolution :premises (@p761 @p743) :args (@t545 @t401 (@list @t543))) % 1.42/1.62 (step @p763 :rule eq-symm :args (@t127 @t38)) % 1.42/1.62 (step @p764 :rule cong :premises (@p763) :args (@t139)) % 1.42/1.62 (step @p765 :rule eq_resolve :premises (@p54 @p764)) % 1.42/1.62 (step @p766 :rule instantiate :premises (@p765) :args ((@list @t380 @t380 @t324))) % 1.42/1.62 (step @p767 :rule cnf_equiv_pos2 :args (@t546)) % 1.42/1.62 (step @p768 :rule reordering :premises (@p767) :args ((or @t538 @t477 (not @t546)))) % 1.42/1.62 (step @p769 :rule chain_m_resolution :premises (@p768 @p568 @p766) :args (@t538 @t442 (@list @t436 @t546))) % 1.42/1.62 (step @p770 :rule instantiate :premises (@p765) :args ((@list @t380 @t380 @t325))) % 1.42/1.62 (step @p771 :rule cnf_equiv_pos2 :args (@t547)) % 1.42/1.62 (step @p772 :rule reordering :premises (@p771) :args ((or @t540 @t516 (not @t547)))) % 1.42/1.62 (step @p773 :rule chain_m_resolution :premises (@p772 @p644 @p770) :args (@t540 @t442 (@list @t502 @t547))) % 1.42/1.62 (step @p774 :rule cnf_or_pos :args (@t545)) % 1.42/1.62 (step @p775 :rule factoring :premises (@p774)) % 1.42/1.62 (step @p776 :rule reordering :premises (@p775) :args ((or @t397 @t394 @t392 @t390 @t519 @t518 @t541 @t480 @t479 @t539 @t517 @t478 @t544 (not @t545)))) % 1.42/1.62 (step @p777 :rule chain_m_resolution :premises (@p776 @p484 @p476 @p470 @p464 @p650 @p647 @p773 @p574 @p571 @p769 @p637 @p506 @p762) :args (@t544 @t548 (@list @t397 @t393 @t391 @t389 @t505 @t504 @t540 @t439 @t438 @t538 @t503 @t437 @t545))) % 1.42/1.62 (step @p778 :rule aci_norm :args ((= (or @t553 @t133) (or @t47 @t287 @t552 @t551 @t305 @t550 @t549 @t133)))) % 1.42/1.62 (step @p779 :rule refl :args (@t133)) % 1.42/1.62 (step @p780 :rule refl :args (@t549)) % 1.42/1.62 (step @p781 :rule refl :args (@t550)) % 1.42/1.62 (step @p782 :rule refl :args (@t551)) % 1.42/1.62 (step @p783 :rule refl :args (@t552)) % 1.42/1.62 (step @p784 :rule nary_cong :premises (@p522 @p183 @p783 @p782 @p226 @p781 @p780) :args (@t554)) % 1.42/1.62 (step @p785 :rule aci_norm :args ((= (or @t458 (or @t287 (or @t552 (or @t551 (or @t305 (or @t550 @t549)))))) @t554))) % 1.42/1.62 (step @p786 :rule trans :premises (@p785 @p784)) % 1.42/1.62 (step @p787 :rule bool-and-de-morgan :args (@t85 @t84 true)) % 1.42/1.62 (step @p788 :rule nary_cong :premises (@p226 @p787) :args ((or @t305 (not (and @t85 @t84))))) % 1.42/1.62 (step @p789 :rule bool-and-de-morgan :args (@t86 @t85 (and @t84))) % 1.42/1.62 (step @p790 :rule trans :premises (@p789 @p788)) % 1.42/1.62 (step @p791 :rule nary_cong :premises (@p782 @p790) :args ((or @t551 (not (and @t86 @t85 @t84))))) % 1.42/1.62 (step @p792 :rule bool-and-de-morgan :args (@t87 @t86 (and @t85 @t84))) % 1.42/1.62 (step @p793 :rule trans :premises (@p792 @p791)) % 1.42/1.62 (step @p794 :rule nary_cong :premises (@p783 @p793) :args ((or @t552 (not (and @t87 @t86 @t85 @t84))))) % 1.42/1.62 (step @p795 :rule bool-and-de-morgan :args (@t88 @t87 (and @t86 @t85 @t84))) % 1.42/1.62 (step @p796 :rule trans :premises (@p795 @p794)) % 1.42/1.62 (step @p797 :rule nary_cong :premises (@p183 @p796) :args ((or @t287 (not (and @t88 @t87 @t86 @t85 @t84))))) % 1.42/1.62 (step @p798 :rule bool-and-de-morgan :args (@t89 @t88 (and @t87 @t86 @t85 @t84))) % 1.42/1.62 (step @p799 :rule trans :premises (@p798 @p797)) % 1.42/1.62 (step @p800 :rule refl :args (@t458)) % 1.42/1.62 (step @p801 :rule nary_cong :premises (@p800 @p799) :args ((or @t458 (not (and @t89 @t88 @t87 @t86 @t85 @t84))))) % 1.42/1.62 (step @p802 :rule bool-and-de-morgan :args (@t48 @t89 (and @t88 @t87 @t86 @t85 @t84))) % 1.42/1.62 (step @p803 :rule trans :premises (@p802 @p801)) % 1.42/1.62 (step @p804 :rule trans :premises (@p803 @p786)) % 1.42/1.62 (step @p805 :rule nary_cong :premises (@p804 @p779) :args ((or @t555 @t133))) % 1.42/1.62 (step @p806 :rule trans :premises (@p805 @p778)) % 1.42/1.62 (step @p807 :rule bool-impl-elim :args (@t90 @t133)) % 1.42/1.62 (step @p808 :rule trans :premises (@p807 @p806)) % 1.42/1.62 (step @p809 :rule cong :premises (@p808) :args (@t134)) % 1.42/1.62 (step @p810 :rule eq_resolve :premises (@p51 @p809)) % 1.42/1.62 (step @p811 :rule instantiate :premises (@p810) :args (@t556)) % 1.42/1.62 (step @p812 :rule cnf_or_pos :args (@t558)) % 1.42/1.62 (step @p813 :rule reordering :premises (@p812) :args ((or @t464 @t519 @t518 @t541 @t480 @t479 @t539 @t557 (not @t558)))) % 1.42/1.62 (step @p814 :rule chain_m_resolution :premises (@p813 @p562 @p650 @p647 @p773 @p574 @p571 @p769 @p811) :args (@t557 @t559 (@list @t464 @t505 @t504 @t540 @t439 @t438 @t538 @t558))) % 1.42/1.62 (step @p815 :rule trans :premises (@p814 @p777)) % 1.42/1.62 (step @p816 :rule cong :premises (@p815 @p673 @p673) :args (@t560)) % 1.42/1.62 (step @p817 :rule instantiate :premises (@p307) :args ((@list @t326 @t426))) % 1.42/1.62 (step @p818 :rule aci_norm :args ((= (or @t534 @t95) (or @t18 @t202 @t201 @t200 @t111 @t231 @t230 @t229 @t106 @t262 @t261 @t260 @t287 @t286 @t285 @t532 @t305 @t304 @t303 @t531 @t95)))) % 1.42/1.62 (step @p819 :rule refl :args (@t95)) % 1.42/1.62 (step @p820 :rule nary_cong :premises (@p737 @p819) :args ((or @t536 @t95))) % 1.42/1.62 (step @p821 :rule trans :premises (@p820 @p818)) % 1.42/1.62 (step @p822 :rule bool-impl-elim :args (@t113 @t95)) % 1.42/1.62 (step @p823 :rule trans :premises (@p822 @p821)) % 1.42/1.62 (step @p824 :rule cong :premises (@p823) :args (@t114)) % 1.42/1.62 (step @p825 :rule eq_resolve :premises (@p18 @p824)) % 1.42/1.62 (step @p826 :rule instantiate :premises (@p825) :args (@t327)) % 1.42/1.62 (step @p827 :rule cnf_or_pos :args (@t563)) % 1.42/1.62 (step @p828 :rule factoring :premises (@p827)) % 1.42/1.62 (step @p829 :rule reordering :premises (@p828) :args ((or @t397 @t394 @t392 @t390 @t519 @t518 @t541 @t480 @t479 @t539 @t517 @t478 @t562 (not @t563)))) % 1.42/1.62 (step @p830 :rule chain_m_resolution :premises (@p829 @p484 @p476 @p470 @p464 @p650 @p647 @p773 @p574 @p571 @p769 @p637 @p506 @p826) :args (@t562 @t548 (@list @t397 @t393 @t391 @t389 @t505 @t504 @t540 @t439 @t438 @t538 @t503 @t437 @t563))) % 1.42/1.62 (step @p831 :rule cnf_and_pos :args (@t562 2)) % 1.42/1.62 (step @p832 :rule reordering :premises (@p831) :args ((or @t561 (not @t562)))) % 1.42/1.62 (step @p833 :rule chain_m_resolution :premises (@p832 @p830) :args (@t561 @t401 (@list @t562))) % 1.42/1.62 (step @p834 :rule true_intro :premises (@p833)) % 1.42/1.62 (step @p835 :rule cong :premises (@p815 @p673 @p673) :args (@t564)) % 1.42/1.62 (step @p836 :rule trans :premises (@p835 @p834)) % 1.42/1.62 (step @p837 :rule true_elim :premises (@p836)) % 1.42/1.62 (step @p838 :rule aci_norm :args ((= (or @t553 @t83) (or @t47 @t287 @t552 @t551 @t305 @t550 @t549 @t83)))) % 1.42/1.62 (step @p839 :rule refl :args (@t83)) % 1.42/1.62 (step @p840 :rule nary_cong :premises (@p804 @p839) :args ((or @t555 @t83))) % 1.42/1.62 (step @p841 :rule trans :premises (@p840 @p838)) % 1.42/1.62 (step @p842 :rule bool-impl-elim :args (@t90 @t83)) % 1.42/1.62 (step @p843 :rule trans :premises (@p842 @p841)) % 1.42/1.62 (step @p844 :rule cong :premises (@p843) :args (@t92)) % 1.42/1.62 (step @p845 :rule eq_resolve :premises (@p17 @p844)) % 1.42/1.62 (step @p846 :rule instantiate :premises (@p845) :args (@t556)) % 1.42/1.62 (step @p847 :rule cnf_or_pos :args (@t569)) % 1.42/1.62 (step @p848 :rule reordering :premises (@p847) :args ((or @t464 @t519 @t518 @t541 @t480 @t479 @t539 @t568 (not @t569)))) % 1.42/1.62 (step @p849 :rule chain_m_resolution :premises (@p848 @p562 @p650 @p647 @p773 @p574 @p571 @p769 @p846) :args (@t568 @t559 (@list @t464 @t505 @t504 @t540 @t439 @t438 @t538 @t569))) % 1.42/1.62 (step @p850 :rule cnf_and_pos :args (@t568 2)) % 1.42/1.62 (step @p851 :rule reordering :premises (@p850) :args ((or @t565 @t570))) % 1.42/1.62 (step @p852 :rule chain_m_resolution :premises (@p851 @p849) :args (@t565 @t401 @t571)) % 1.42/1.62 (step @p853 :rule cnf_and_pos :args (@t568 1)) % 1.42/1.62 (step @p854 :rule reordering :premises (@p853) :args ((or @t566 @t570))) % 1.42/1.62 (step @p855 :rule chain_m_resolution :premises (@p854 @p849) :args (@t566 @t401 @t571)) % 1.42/1.62 (step @p856 :rule cnf_and_pos :args (@t568 0)) % 1.42/1.62 (step @p857 :rule reordering :premises (@p856) :args ((or @t567 @t570))) % 1.42/1.62 (step @p858 :rule chain_m_resolution :premises (@p857 @p849) :args (@t567 @t401 @t571)) % 1.42/1.62 (step @p859 :rule cnf_or_pos :args (@t578)) % 1.42/1.62 (step @p860 :rule reordering :premises (@p859) :args ((or @t397 @t396 @t394 @t392 @t390 @t577 @t576 @t574 @t575 @t573 (not @t578)))) % 1.42/1.62 (step @p861 :rule chain_m_resolution :premises (@p860 @p484 @p482 @p476 @p470 @p464 @p858 @p855 @p852 @p837 @p817) :args (@t573 @t482 (@list @t397 @t395 @t393 @t391 @t389 @t567 @t566 @t565 @t564 @t578))) % 1.42/1.62 (step @p862 :rule bool-impl-elim :args (@t26 @t140)) % 1.42/1.62 (step @p863 :rule cong :premises (@p862) :args (@t141)) % 1.42/1.62 (step @p864 :rule eq_resolve :premises (@p56 @p863)) % 1.42/1.62 (step @p865 :rule instantiate :premises (@p864) :args ((@list @t426 @t379))) % 1.42/1.62 (step @p866 :rule instantiate :premises (@p610) :args ((@list @t380 @t380 @t379 @t426))) % 1.42/1.62 (step @p867 :rule cnf_or_pos :args (@t581)) % 1.42/1.62 (step @p868 :rule reordering :premises (@p867) :args ((or @t464 @t388 @t580 (not @t581)))) % 1.42/1.62 (step @p869 :rule chain_m_resolution :premises (@p868 @p562 @p487 @p866) :args (@t580 @t468 (@list @t464 @t387 @t581))) % 1.42/1.62 (step @p870 :rule cnf_or_neg :args (@t432 7)) % 1.42/1.62 (step @p871 :rule chain_m_resolution :premises (@p870 @p457) :args ((not @t427) @t433 @t434)) % 1.42/1.62 (step @p872 :rule cnf_equiv_pos2 :args (@t580)) % 1.42/1.62 (step @p873 :rule reordering :premises (@p872) :args ((or @t427 @t582 (not @t580)))) % 1.42/1.62 (step @p874 :rule chain_m_resolution :premises (@p873 @p871 @p869) :args (@t582 @t583 (@list @t427 @t580))) % 1.42/1.62 (step @p875 :rule cnf_or_pos :args (@t585)) % 1.42/1.62 (step @p876 :rule reordering :premises (@p875) :args ((or @t579 @t584 (not @t585)))) % 1.42/1.62 (step @p877 :rule chain_m_resolution :premises (@p876 @p874 @p865) :args (@t584 @t583 (@list @t579 @t585))) % 1.42/1.62 (step @p878 :rule cnf_equiv_pos2 :args (@t573)) % 1.42/1.62 (step @p879 :rule reordering :premises (@p878) :args ((or @t572 @t586 (not @t573)))) % 1.42/1.62 (step @p880 :rule chain_m_resolution :premises (@p879 @p877 @p861) :args (@t586 @t583 (@list @t572 @t573))) % 1.42/1.62 (step @p881 :rule false_intro :premises (@p880)) % 1.42/1.62 (step @p882 :rule symm :premises (@p881)) % 1.42/1.62 (step @p883 :rule trans :premises (@p882 @p816 @p672)) % 1.42/1.62 (step @p884 false :rule eq_resolve :premises (@p883 @p66)) % 1.42/1.62 ) % 1.42/1.62 % SZS output end Proof % 1.42/1.62 % cvc5 exiting %------------------------------------------------------------------------------