%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP647+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:21:10 AM UTC 2026 % Result : Theorem 33.44s 33.63s % Output : Proof 33.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP647+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:37:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.44/33.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.44/33.63 --- Run --no-e-matching --full-saturate-quant at 6... % 33.44/33.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.44/33.63 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.44/33.63 % SZS status Theorem % 33.44/33.63 % SZS output start Proof % 33.44/33.63 ( % 33.44/33.63 (declare-sort $$unsorted 0) % 33.44/33.63 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.v4_finsub_1 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k5_finsub_1 (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k18_group_2 (-> $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.k1_xboole_0 $$unsorted) % 33.44/33.63 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k2_latsubgr (-> $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.k1_latsubgr (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k2_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 33.44/33.63 (declare-const tptp.k4_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.k1_setfam_1 (-> $$unsorted $$unsorted)) % 33.44/33.63 (declare-const tptp.k6_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.44/33.63 (define @t1 () (@var "B" $$unsorted)) % 33.44/33.63 (define @t2 () (@var "C" $$unsorted)) % 33.44/33.63 (define @t3 () (@var "A" $$unsorted)) % 33.44/33.63 (define @t4 () (tptp.k2_latsubgr @t3 @t2)) % 33.44/33.63 (define @t5 () (tptp.k1_group_3 @t3)) % 33.44/33.63 (define @t6 () (tptp.k18_group_2 @t5 @t1)) % 33.44/33.63 (define @t7 () (= @t2 @t6)) % 33.44/33.63 (define @t8 () (=> @t7 (= @t4 @t1))) % 33.44/33.63 (define @t9 () (tptp.k1_zfmisc_1 @t5)) % 33.44/33.63 (define @t10 () (tptp.m1_subset_1 @t2 @t9)) % 33.44/33.63 (define @t11 () (tptp.v1_xboole_0 @t2)) % 33.44/33.63 (define @t12 () (not @t11)) % 33.44/33.63 (define @t13 () (and @t12 @t10)) % 33.44/33.63 (define @t14 () (=> @t13 @t8)) % 33.44/33.63 (define @t15 () (@list @t2)) % 33.44/33.63 (define @t16 () (forall @t15 @t14)) % 33.44/33.63 (define @t17 () (tptp.m1_subset_1 @t1 @t5)) % 33.44/33.63 (define @t18 () (=> @t17 @t16)) % 33.44/33.63 (define @t19 () (@list @t1)) % 33.44/33.63 (define @t20 () (forall @t19 @t18)) % 33.44/33.63 (define @t21 () (tptp.l1_group_1 @t3)) % 33.44/33.63 (define @t22 () (tptp.v4_group_1 @t3)) % 33.44/33.63 (define @t23 () (tptp.v3_group_1 @t3)) % 33.44/33.63 (define @t24 () (tptp.v3_struct_0 @t3)) % 33.44/33.63 (define @t25 () (not @t24)) % 33.44/33.63 (define @t26 () (and @t25 @t23 @t22 @t21)) % 33.44/33.63 (define @t27 () (=> @t26 @t20)) % 33.44/33.63 (define @t28 () (@list @t3)) % 33.44/33.63 (define @t29 () (forall @t28 @t27)) % 33.44/33.63 (define @t30 () (not @t29)) % 33.44/33.63 (define @t31 () (tptp.u1_group_1 @t3)) % 33.44/33.63 (define @t32 () (tptp.u1_struct_0 @t3)) % 33.44/33.63 (define @t33 () (tptp.r2_hidden @t3 @t1)) % 33.44/33.63 (define @t34 () (@list @t3 @t1)) % 33.44/33.63 (define @t35 () (tptp.v1_funct_2 @t2 @t3 @t1)) % 33.44/33.63 (define @t36 () (tptp.v1_funct_1 @t2)) % 33.44/33.63 (define @t37 () (and @t36 @t35)) % 33.44/33.63 (define @t38 () (tptp.v1_partfun1 @t2 @t3 @t1)) % 33.44/33.63 (define @t39 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 33.44/33.63 (define @t40 () (@list @t3 @t1 @t2)) % 33.44/33.63 (define @t41 () (tptp.v1_relat_1 @t2)) % 33.44/33.63 (define @t42 () (tptp.k2_zfmisc_1 @t3 @t1)) % 33.44/33.63 (define @t43 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t42))) % 33.44/33.63 (define @t44 () (forall @t40 (=> @t43 @t41))) % 33.44/33.63 (define @t45 () (tptp.v1_xboole_0 @t1)) % 33.44/33.63 (define @t46 () (not @t45)) % 33.44/33.63 (define @t47 () (tptp.v1_xboole_0 @t3)) % 33.44/33.63 (define @t48 () (not @t47)) % 33.44/33.63 (define @t49 () (and @t48 @t46)) % 33.44/33.63 (define @t50 () (= @t35 (= @t2 tptp.k1_xboole_0))) % 33.44/33.63 (define @t51 () (= @t3 tptp.k1_xboole_0)) % 33.44/33.63 (define @t52 () (or @t51 @t50)) % 33.44/33.63 (define @t53 () (= @t1 tptp.k1_xboole_0)) % 33.44/33.63 (define @t54 () (tptp.k4_relset_1 @t3 @t1 @t2)) % 33.44/33.63 (define @t55 () (= @t35 (= @t3 @t54))) % 33.44/33.63 (define @t56 () (=> @t53 @t51)) % 33.44/33.63 (define @t57 () (and (=> @t56 @t55) (=> @t53 @t52))) % 33.44/33.63 (define @t58 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 33.44/33.63 (define @t59 () (forall @t40 (=> @t58 @t57))) % 33.44/33.63 (define @t60 () (tptp.m1_group_2 @t2 @t3)) % 33.44/33.63 (define @t61 () (tptp.v1_group_1 @t2)) % 33.44/33.63 (define @t62 () (and @t61 @t60)) % 33.44/33.63 (define @t63 () (forall @t19 (= (= @t1 @t5) (forall @t15 (= (tptp.r2_hidden @t2 @t1) @t62))))) % 33.44/33.63 (define @t64 () (forall @t28 (=> @t26 @t63))) % 33.44/33.63 (define @t65 () (tptp.u1_struct_0 @t2)) % 33.44/33.63 (define @t66 () (= (tptp.k1_funct_1 @t1 @t2) @t65)) % 33.44/33.63 (define @t67 () (forall @t15 (=> @t62 @t66))) % 33.44/33.63 (define @t68 () (tptp.k1_latsubgr @t3)) % 33.44/33.63 (define @t69 () (= @t1 @t68)) % 33.44/33.63 (define @t70 () (= @t69 @t67)) % 33.44/33.63 (define @t71 () (tptp.k1_zfmisc_1 @t32)) % 33.44/33.63 (define @t72 () (tptp.m2_relset_1 @t1 @t5 @t71)) % 33.44/33.63 (define @t73 () (tptp.v1_funct_2 @t1 @t5 @t71)) % 33.44/33.63 (define @t74 () (tptp.v1_funct_1 @t1)) % 33.44/33.63 (define @t75 () (and @t74 @t73 @t72)) % 33.44/33.63 (define @t76 () (=> @t75 @t70)) % 33.44/33.63 (define @t77 () (forall @t19 @t76)) % 33.44/33.63 (define @t78 () (=> @t26 @t77)) % 33.44/33.63 (define @t79 () (forall @t28 @t78)) % 33.44/33.63 (define @t80 () (tptp.k6_setfam_1 @t32 (tptp.k2_funct_2 @t5 @t71 @t68 @t1))) % 33.44/33.63 (define @t81 () (tptp.k2_latsubgr @t3 @t1)) % 33.44/33.63 (define @t82 () (= (= @t2 @t81) (= @t65 @t80))) % 33.44/33.63 (define @t83 () (forall @t15 (=> @t62 @t82))) % 33.44/33.63 (define @t84 () (tptp.m1_subset_1 @t1 @t9)) % 33.44/33.63 (define @t85 () (and @t46 @t84)) % 33.44/33.63 (define @t86 () (=> @t85 @t83)) % 33.44/33.63 (define @t87 () (forall @t19 @t86)) % 33.44/33.63 (define @t88 () (=> @t26 @t87)) % 33.44/33.63 (define @t89 () (forall @t28 @t88)) % 33.44/33.63 (define @t90 () (tptp.g1_group_1 @t3 @t1)) % 33.44/33.63 (define @t91 () (tptp.k2_zfmisc_1 @t3 @t3)) % 33.44/33.63 (define @t92 () (and @t74 (tptp.v1_funct_2 @t1 @t91 @t3) (tptp.m1_relset_1 @t1 @t91 @t3))) % 33.44/33.63 (define @t93 () (tptp.k5_finsub_1 @t3)) % 33.44/33.63 (define @t94 () (tptp.k18_group_2 @t3 @t1)) % 33.44/33.63 (define @t95 () (tptp.m1_subset_1 @t1 @t3)) % 33.44/33.63 (define @t96 () (and @t48 @t95)) % 33.44/33.63 (define @t97 () (and (tptp.v1_funct_1 @t68) (tptp.v1_funct_2 @t68 @t5 @t71) (tptp.m2_relset_1 @t68 @t5 @t71))) % 33.44/33.63 (define @t98 () (forall @t28 (=> @t26 @t97))) % 33.44/33.63 (define @t99 () (tptp.k1_zfmisc_1 @t1)) % 33.44/33.63 (define @t100 () (@var "D" $$unsorted)) % 33.44/33.63 (define @t101 () (tptp.k2_funct_2 @t3 @t1 @t2 @t100)) % 33.44/33.63 (define @t102 () (tptp.m1_subset_1 @t101 @t99)) % 33.44/33.63 (define @t103 () (and @t36 @t35 @t39)) % 33.44/33.63 (define @t104 () (@list @t3 @t1 @t2 @t100)) % 33.44/33.63 (define @t105 () (forall @t104 (=> @t103 @t102))) % 33.44/33.63 (define @t106 () (tptp.k1_zfmisc_1 @t3)) % 33.44/33.63 (define @t107 () (tptp.k6_setfam_1 @t3 @t1)) % 33.44/33.63 (define @t108 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t106))) % 33.44/33.63 (define @t109 () (tptp.k8_funct_2 @t3 @t1 @t2 @t100)) % 33.44/33.63 (define @t110 () (and @t48 @t36 @t35 @t39 (tptp.m1_subset_1 @t100 @t3))) % 33.44/33.63 (define @t111 () (tptp.l1_struct_0 @t3)) % 33.44/33.63 (define @t112 () (tptp.m1_group_2 @t1 @t3)) % 33.44/33.63 (define @t113 () (and @t25 @t23 @t21)) % 33.44/33.63 (define @t114 () (forall @t40 (=> @t58 @t43))) % 33.44/33.63 (define @t115 () (tptp.k2_zfmisc_1 @t32 @t32)) % 33.44/33.63 (define @t116 () (not (tptp.v1_xboole_0 @t5))) % 33.44/33.63 (define @t117 () (forall @t28 (=> @t26 @t116))) % 33.44/33.63 (define @t118 () (and @t25 @t111)) % 33.44/33.63 (define @t119 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 33.44/33.63 (define @t120 () (tptp.k1_tarski @t3)) % 33.44/33.63 (define @t121 () (tptp.m1_subset_1 @t1 @t106)) % 33.44/33.63 (define @t122 () (= @t94 (tptp.k1_tarski @t1))) % 33.44/33.63 (define @t123 () (forall @t34 (=> @t96 @t122))) % 33.44/33.63 (define @t124 () (= @t101 (tptp.k9_relat_1 @t2 @t100))) % 33.44/33.63 (define @t125 () (forall @t104 (=> @t103 @t124))) % 33.44/33.63 (define @t126 () (= @t54 (tptp.k1_relat_1 @t2))) % 33.44/33.63 (define @t127 () (forall @t40 (=> @t39 @t126))) % 33.44/33.63 (define @t128 () (= @t107 (tptp.k1_setfam_1 @t1))) % 33.44/33.63 (define @t129 () (forall @t34 (=> @t108 @t128))) % 33.44/33.63 (define @t130 () (forall @t40 (= @t58 @t39))) % 33.44/33.63 (define @t131 () (= (tptp.k9_relat_1 @t1 @t120) (tptp.k1_tarski (tptp.k1_funct_1 @t1 @t3)))) % 33.44/33.63 (define @t132 () (tptp.r2_hidden @t3 (tptp.k1_relat_1 @t1))) % 33.44/33.63 (define @t133 () (=> @t132 @t131)) % 33.44/33.63 (define @t134 () (tptp.v1_relat_1 @t1)) % 33.44/33.63 (define @t135 () (and @t134 @t74)) % 33.44/33.63 (define @t136 () (forall @t34 (=> @t135 @t133))) % 33.44/33.63 (define @t137 () (tptp.k1_setfam_1 @t120)) % 33.44/33.63 (define @t138 () (forall @t28 (= @t137 @t3))) % 33.44/33.63 (define @t139 () (tptp.m1_subset_1 @t3 @t1)) % 33.44/33.63 (define @t140 () (or @t45 @t33)) % 33.44/33.63 (define @t141 () (forall @t34 (=> @t139 @t140))) % 33.44/33.63 (define @t142 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 33.44/33.63 (define @t143 () (tptp.u1_struct_0 @t1)) % 33.44/33.63 (define @t144 () (not @t53)) % 33.44/33.63 (define @t145 () (or @t144 @t51 @t50)) % 33.44/33.63 (define @t146 () (not @t58)) % 33.44/33.63 (define @t147 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 33.44/33.63 (define @t148 () (tptp.k18_group_2 @t5 @t147)) % 33.44/33.63 (define @t149 () (= @t147 (tptp.k2_latsubgr @t3 @t148))) % 33.44/33.63 (define @t150 () (not (tptp.m1_subset_1 @t148 @t9))) % 33.44/33.63 (define @t151 () (tptp.v1_xboole_0 @t148)) % 33.44/33.63 (define @t152 () (not (tptp.m1_subset_1 @t147 @t5))) % 33.44/33.63 (define @t153 () (not @t21)) % 33.44/33.63 (define @t154 () (not @t22)) % 33.44/33.63 (define @t155 () (not @t23)) % 33.44/33.63 (define @t156 () (or @t24 @t155 @t154 @t153 @t152 @t151 @t150 @t149)) % 33.44/33.63 (define @t157 () (@list @t3 @t147)) % 33.44/33.63 (define @t158 () (forall @t157 @t156)) % 33.44/33.63 (define @t159 () (@quantifiers_skolemize @t158 0)) % 33.44/33.63 (define @t160 () (tptp.k1_latsubgr @t159)) % 33.44/33.63 (define @t161 () (tptp.u1_struct_0 @t159)) % 33.44/33.63 (define @t162 () (tptp.k1_zfmisc_1 @t161)) % 33.44/33.63 (define @t163 () (tptp.k1_group_3 @t159)) % 33.44/33.63 (define @t164 () (tptp.v1_funct_2 @t160 @t163 @t162)) % 33.44/33.63 (define @t165 () (= @t164 (= @t160 tptp.k1_xboole_0))) % 33.44/33.63 (define @t166 () (= @t162 tptp.k1_xboole_0)) % 33.44/33.63 (define @t167 () (not @t166)) % 33.44/33.63 (define @t168 () (= @t163 tptp.k1_xboole_0)) % 33.44/33.63 (define @t169 () (or @t167 @t168 @t165)) % 33.44/33.63 (define @t170 () (tptp.k4_relset_1 @t163 @t162 @t160)) % 33.44/33.63 (define @t171 () (= @t163 @t170)) % 33.44/33.63 (define @t172 () (= @t164 @t171)) % 33.44/33.63 (define @t173 () (not @t168)) % 33.44/33.63 (define @t174 () (and @t166 @t173)) % 33.44/33.63 (define @t175 () (or @t174 @t172)) % 33.44/33.63 (define @t176 () (and @t175 @t169)) % 33.44/33.63 (define @t177 () (tptp.m2_relset_1 @t160 @t163 @t162)) % 33.44/33.63 (define @t178 () (not @t177)) % 33.44/33.63 (define @t179 () (or @t178 @t176)) % 33.44/33.63 (define @t180 () (forall @t40 (or @t146 (and (or (and @t53 (not @t51)) @t55) @t145)))) % 33.44/33.63 (define @t181 () (@list @t163 @t162 @t160)) % 33.44/33.63 (define @t182 () (= tptp.k1_xboole_0 @t163)) % 33.44/33.63 (define @t183 () (= tptp.k1_xboole_0 @t162)) % 33.44/33.63 (define @t184 () (not @t183)) % 33.44/33.63 (define @t185 () (and @t183 (not @t182))) % 33.44/33.63 (define @t186 () (or @t185 @t172)) % 33.44/33.63 (define @t187 () (and @t186 (or @t184 @t182 (= @t164 (= tptp.k1_xboole_0 @t160))))) % 33.44/33.63 (define @t188 () (or @t178 @t187)) % 33.44/33.63 (define @t189 () (@list false)) % 33.44/33.63 (define @t190 () (or @t24 @t155 @t154 @t153)) % 33.44/33.63 (define @t191 () (not @t25)) % 33.44/33.63 (define @t192 () (or @t191 @t155 @t154 @t153)) % 33.44/33.63 (define @t193 () (not @t26)) % 33.44/33.63 (define @t194 () (@list @t159)) % 33.44/33.63 (define @t195 () (or @t152 @t151 @t150 @t149)) % 33.44/33.63 (define @t196 () (or @t24 @t155 @t154 @t153 @t195)) % 33.44/33.63 (define @t197 () (forall @t157 @t196)) % 33.44/33.63 (define @t198 () (@list @t147)) % 33.44/33.63 (define @t199 () (forall @t198 @t196)) % 33.44/33.63 (define @t200 () (forall @t198 @t195)) % 33.44/33.63 (define @t201 () (@list @t1)) % 33.44/33.63 (define @t202 () (or @t24 @t155 @t154 @t153 @t200)) % 33.44/33.63 (define @t203 () (= @t1 (tptp.k2_latsubgr @t3 @t6))) % 33.44/33.63 (define @t204 () (not (tptp.m1_subset_1 @t6 @t9))) % 33.44/33.63 (define @t205 () (tptp.v1_xboole_0 @t6)) % 33.44/33.63 (define @t206 () (not @t17)) % 33.44/33.63 (define @t207 () (or @t206 @t205 @t204 @t203)) % 33.44/33.63 (define @t208 () (forall @t19 @t207)) % 33.44/33.63 (define @t209 () (or @t24 @t155 @t154 @t153 @t208)) % 33.44/33.63 (define @t210 () (or @t205 @t204 @t203)) % 33.44/33.63 (define @t211 () (not (= @t6 @t6))) % 33.44/33.63 (define @t212 () (or @t205 @t204 @t211 @t203)) % 33.44/33.63 (define @t213 () (= @t1 @t4)) % 33.44/33.63 (define @t214 () (not @t7)) % 33.44/33.63 (define @t215 () (not @t10)) % 33.44/33.63 (define @t216 () (or @t214 @t11 @t215 @t214 @t213)) % 33.44/33.63 (define @t217 () (or @t11 @t215 @t214 @t213)) % 33.44/33.63 (define @t218 () (=> @t7 @t213)) % 33.44/33.63 (define @t219 () (tptp.l1_group_1 @t159)) % 33.44/33.63 (define @t220 () (@quantifiers_skolemize @t158 1)) % 33.44/33.63 (define @t221 () (tptp.k18_group_2 @t163 @t220)) % 33.44/33.63 (define @t222 () (= @t220 (tptp.k2_latsubgr @t159 @t221))) % 33.44/33.63 (define @t223 () (tptp.m1_subset_1 @t221 (tptp.k1_zfmisc_1 @t163))) % 33.44/33.63 (define @t224 () (not @t223)) % 33.44/33.63 (define @t225 () (tptp.v1_xboole_0 @t221)) % 33.44/33.63 (define @t226 () (tptp.m1_subset_1 @t220 @t163)) % 33.44/33.63 (define @t227 () (not @t226)) % 33.44/33.63 (define @t228 () (not @t219)) % 33.44/33.63 (define @t229 () (tptp.v4_group_1 @t159)) % 33.44/33.63 (define @t230 () (not @t229)) % 33.44/33.63 (define @t231 () (tptp.v3_group_1 @t159)) % 33.44/33.63 (define @t232 () (not @t231)) % 33.44/33.63 (define @t233 () (tptp.v3_struct_0 @t159)) % 33.44/33.63 (define @t234 () (or @t233 @t232 @t230 @t228 @t227 @t225 @t224 @t222)) % 33.44/33.63 (define @t235 () (@list true)) % 33.44/33.63 (define @t236 () (@list @t234)) % 33.44/33.63 (define @t237 () (tptp.v1_funct_1 @t160)) % 33.44/33.63 (define @t238 () (and @t237 @t164 @t177)) % 33.44/33.63 (define @t239 () (or @t233 @t232 @t230 @t228 @t238)) % 33.44/33.63 (define @t240 () (@list true false false false false)) % 33.44/33.63 (define @t241 () (not @t238)) % 33.44/33.63 (define @t242 () (@list @t238)) % 33.44/33.63 (define @t243 () (@list false false)) % 33.44/33.63 (define @t244 () (tptp.k1_relat_1 @t160)) % 33.44/33.63 (define @t245 () (tptp.m1_relset_1 @t160 @t163 @t162)) % 33.44/33.63 (define @t246 () (not @t245)) % 33.44/33.63 (define @t247 () (or @t246 (= @t170 @t244))) % 33.44/33.63 (define @t248 () (not @t39)) % 33.44/33.63 (define @t249 () (forall @t40 (or @t248 @t126))) % 33.44/33.63 (define @t250 () (= @t244 @t170)) % 33.44/33.63 (define @t251 () (or @t246 @t250)) % 33.44/33.63 (define @t252 () (forall @t40 (= @t39 @t58))) % 33.44/33.63 (define @t253 () (= @t245 @t177)) % 33.44/33.63 (define @t254 () (= @t177 @t245)) % 33.44/33.63 (define @t255 () (not @t139)) % 33.44/33.63 (define @t256 () (tptp.v1_xboole_0 @t163)) % 33.44/33.63 (define @t257 () (not @t256)) % 33.44/33.63 (define @t258 () (or @t233 @t232 @t230 @t228 @t257)) % 33.44/33.63 (define @t259 () (tptp.r2_hidden @t220 @t163)) % 33.44/33.63 (define @t260 () (or @t227 @t256 @t259)) % 33.44/33.63 (define @t261 () (@list false true false)) % 33.44/33.63 (define @t262 () (not @t132)) % 33.44/33.63 (define @t263 () (not @t74)) % 33.44/33.63 (define @t264 () (not @t134)) % 33.44/33.63 (define @t265 () (not @t35)) % 33.44/33.63 (define @t266 () (not @t36)) % 33.44/33.63 (define @t267 () (or @t266 @t265 @t248)) % 33.44/33.63 (define @t268 () (not @t103)) % 33.44/33.63 (define @t269 () (@list @t163 @t162 @t160 @t221)) % 33.44/33.63 (define @t270 () (tptp.k9_relat_1 @t160 @t221)) % 33.44/33.63 (define @t271 () (tptp.k2_funct_2 @t163 @t162 @t160 @t221)) % 33.44/33.63 (define @t272 () (= @t271 @t270)) % 33.44/33.63 (define @t273 () (not @t164)) % 33.44/33.63 (define @t274 () (not @t237)) % 33.44/33.63 (define @t275 () (or @t274 @t273 @t246 @t272)) % 33.44/33.63 (define @t276 () (@list false false false false)) % 33.44/33.63 (define @t277 () (tptp.m1_subset_1 @t271 (tptp.k1_zfmisc_1 @t162))) % 33.44/33.63 (define @t278 () (or @t274 @t273 @t246 @t277)) % 33.44/33.63 (define @t279 () (tptp.k1_setfam_1 @t271)) % 33.44/33.63 (define @t280 () (tptp.k6_setfam_1 @t161 @t271)) % 33.44/33.63 (define @t281 () (= @t280 @t279)) % 33.44/33.63 (define @t282 () (not @t277)) % 33.44/33.63 (define @t283 () (or @t282 @t281)) % 33.44/33.63 (define @t284 () (not @t95)) % 33.44/33.63 (define @t285 () (tptp.k1_tarski @t220)) % 33.44/33.63 (define @t286 () (= @t221 @t285)) % 33.44/33.63 (define @t287 () (or @t256 @t227 @t286)) % 33.44/33.63 (define @t288 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 33.44/33.63 (define @t289 () (tptp.k1_funct_1 @t288 @t2)) % 33.44/33.63 (define @t290 () (not @t60)) % 33.44/33.63 (define @t291 () (not @t61)) % 33.44/33.63 (define @t292 () (or @t291 @t290 (= @t289 @t65))) % 33.44/33.63 (define @t293 () (forall @t15 @t292)) % 33.44/33.63 (define @t294 () (= (= @t288 @t68) @t293)) % 33.44/33.63 (define @t295 () (not (tptp.m2_relset_1 @t288 @t5 @t71))) % 33.44/33.63 (define @t296 () (not (tptp.v1_funct_2 @t288 @t5 @t71))) % 33.44/33.63 (define @t297 () (not (tptp.v1_funct_1 @t288))) % 33.44/33.63 (define @t298 () (or @t24 @t155 @t154 @t153 @t297 @t296 @t295 @t294)) % 33.44/33.63 (define @t299 () (or @t297 @t296 @t295 @t294)) % 33.44/33.63 (define @t300 () (or @t24 @t155 @t154 @t153 @t299)) % 33.44/33.63 (define @t301 () (@list @t3 @t288)) % 33.44/33.63 (define @t302 () (forall @t301 @t300)) % 33.44/33.63 (define @t303 () (@list @t288)) % 33.44/33.63 (define @t304 () (forall @t303 @t300)) % 33.44/33.63 (define @t305 () (forall @t303 @t299)) % 33.44/33.63 (define @t306 () (or @t24 @t155 @t154 @t153 @t305)) % 33.44/33.63 (define @t307 () (or @t291 @t290 @t66)) % 33.44/33.63 (define @t308 () (= @t69 (forall @t15 @t307))) % 33.44/33.63 (define @t309 () (not @t72)) % 33.44/33.63 (define @t310 () (not @t73)) % 33.44/33.63 (define @t311 () (or @t263 @t310 @t309 @t308)) % 33.44/33.63 (define @t312 () (forall @t19 @t311)) % 33.44/33.63 (define @t313 () (or @t24 @t155 @t154 @t153 @t312)) % 33.44/33.63 (define @t314 () (or @t263 @t310 @t309)) % 33.44/33.63 (define @t315 () (or @t291 @t290)) % 33.44/33.63 (define @t316 () (not @t62)) % 33.44/33.63 (define @t317 () (tptp.m1_group_2 @t2 @t159)) % 33.44/33.63 (define @t318 () (forall @t15 (or @t291 (not @t317) (= @t65 (tptp.k1_funct_1 @t160 @t2))))) % 33.44/33.63 (define @t319 () (= (= @t160 @t160) @t318)) % 33.44/33.63 (define @t320 () (or @t233 @t232 @t230 @t228 @t274 @t273 @t178 @t319)) % 33.44/33.63 (define @t321 () (forall @t301 (or @t24 @t155 @t154 @t153 @t297 @t296 @t295 (= (= @t68 @t288) (forall @t15 (or @t291 @t290 (= @t65 @t289))))))) % 33.44/33.63 (define @t322 () (or @t233 @t232 @t230 @t228 @t274 @t273 @t178 @t318)) % 33.44/33.63 (define @t323 () (@list @t220)) % 33.44/33.63 (define @t324 () (@var "BOUND_VARIABLE_7954" $$unsorted)) % 33.44/33.63 (define @t325 () (tptp.r2_hidden @t2 @t324)) % 33.44/33.63 (define @t326 () (forall @t15 (= @t325 @t62))) % 33.44/33.63 (define @t327 () (= (= @t324 @t5) @t326)) % 33.44/33.63 (define @t328 () (or @t24 @t155 @t154 @t153 @t327)) % 33.44/33.63 (define @t329 () (@list @t3 @t324)) % 33.44/33.63 (define @t330 () (forall @t329 @t328)) % 33.44/33.63 (define @t331 () (@list @t324)) % 33.44/33.63 (define @t332 () (forall @t331 @t328)) % 33.44/33.63 (define @t333 () (forall @t331 @t327)) % 33.44/33.63 (define @t334 () (or @t24 @t155 @t154 @t153 @t333)) % 33.44/33.63 (define @t335 () (or @t24 @t155 @t154 @t153 @t63)) % 33.44/33.63 (define @t336 () (and @t61 @t317)) % 33.44/33.63 (define @t337 () (tptp.r2_hidden @t2 @t163)) % 33.44/33.63 (define @t338 () (forall @t15 (= @t337 @t336))) % 33.44/33.63 (define @t339 () (forall @t15 (= @t336 @t337))) % 33.44/33.63 (define @t340 () (= (= @t163 @t163) @t339)) % 33.44/33.63 (define @t341 () (or @t233 @t232 @t230 @t228 @t340)) % 33.44/33.63 (define @t342 () (forall @t329 (or @t24 @t155 @t154 @t153 (= (= @t5 @t324) (forall @t15 (= @t62 @t325)))))) % 33.44/33.63 (define @t343 () (or @t233 @t232 @t230 @t228 @t338)) % 33.44/33.63 (define @t344 () (tptp.m1_group_2 @t220 @t159)) % 33.44/33.63 (define @t345 () (tptp.v1_group_1 @t220)) % 33.44/33.63 (define @t346 () (and @t345 @t344)) % 33.44/33.63 (define @t347 () (= @t259 @t346)) % 33.44/33.63 (define @t348 () (not @t346)) % 33.44/33.63 (define @t349 () (@list @t346)) % 33.44/33.63 (define @t350 () (tptp.k1_funct_1 @t160 @t220)) % 33.44/33.63 (define @t351 () (tptp.u1_struct_0 @t220)) % 33.44/33.63 (define @t352 () (= @t351 @t350)) % 33.44/33.63 (define @t353 () (not @t344)) % 33.44/33.63 (define @t354 () (not @t345)) % 33.44/33.63 (define @t355 () (or @t354 @t353 @t352)) % 33.44/33.63 (define @t356 () (@var "BOUND_VARIABLE_8051" $$unsorted)) % 33.44/33.63 (define @t357 () (tptp.k2_latsubgr @t3 @t356)) % 33.44/33.63 (define @t358 () (@var "BOUND_VARIABLE_8053" $$unsorted)) % 33.44/33.63 (define @t359 () (= @t358 @t357)) % 33.44/33.63 (define @t360 () (= (tptp.k6_setfam_1 @t32 (tptp.k2_funct_2 @t5 @t71 @t68 @t356)) (tptp.u1_struct_0 @t358))) % 33.44/33.63 (define @t361 () (= (= @t357 @t358) @t360)) % 33.44/33.63 (define @t362 () (not (tptp.m1_group_2 @t358 @t3))) % 33.44/33.63 (define @t363 () (not (tptp.v1_group_1 @t358))) % 33.44/33.63 (define @t364 () (not (tptp.m1_subset_1 @t356 @t9))) % 33.44/33.63 (define @t365 () (tptp.v1_xboole_0 @t356)) % 33.44/33.63 (define @t366 () (or @t24 @t155 @t154 @t153 @t365 @t364 @t363 @t362 @t361)) % 33.44/33.63 (define @t367 () (or @t365 @t364 @t363 @t362 @t361)) % 33.44/33.63 (define @t368 () (or @t24 @t155 @t154 @t153 @t367)) % 33.44/33.63 (define @t369 () (@list @t3 @t356 @t358)) % 33.44/33.63 (define @t370 () (forall @t369 @t368)) % 33.44/33.63 (define @t371 () (@list @t356 @t358)) % 33.44/33.63 (define @t372 () (forall @t371 @t368)) % 33.44/33.63 (define @t373 () (forall @t371 @t367)) % 33.44/33.63 (define @t374 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 33.44/33.63 (define @t375 () (or @t24 @t155 @t154 @t153 @t373)) % 33.44/33.63 (define @t376 () (tptp.u1_struct_0 @t374)) % 33.44/33.63 (define @t377 () (not (tptp.m1_group_2 @t374 @t3))) % 33.44/33.63 (define @t378 () (not (tptp.v1_group_1 @t374))) % 33.44/33.63 (define @t379 () (not @t84)) % 33.44/33.63 (define @t380 () (@list @t1 @t374)) % 33.44/33.63 (define @t381 () (forall @t380 (or @t45 @t379 @t378 @t377 (= (= @t81 @t374) (= @t80 @t376))))) % 33.44/33.63 (define @t382 () (or @t24 @t155 @t154 @t153 @t381)) % 33.44/33.63 (define @t383 () (= (= @t374 @t81) (= @t376 @t80))) % 33.44/33.63 (define @t384 () (or @t45 @t379 @t378 @t377 @t383)) % 33.44/33.63 (define @t385 () (or @t378 @t377 @t383)) % 33.44/33.63 (define @t386 () (or @t45 @t379 @t385)) % 33.44/33.63 (define @t387 () (forall @t380 @t386)) % 33.44/33.63 (define @t388 () (@list @t374)) % 33.44/33.63 (define @t389 () (forall @t388 @t386)) % 33.44/33.63 (define @t390 () (forall @t388 @t385)) % 33.44/33.63 (define @t391 () (or @t45 @t379 @t390)) % 33.44/33.63 (define @t392 () (or @t291 @t290 @t82)) % 33.44/33.63 (define @t393 () (forall @t15 @t392)) % 33.44/33.63 (define @t394 () (or @t45 @t379 @t393)) % 33.44/33.63 (define @t395 () (= @t280 @t351)) % 33.44/33.63 (define @t396 () (or @t233 @t232 @t230 @t228 @t225 @t224 @t354 @t353 (= @t395 @t222))) % 33.44/33.63 (define @t397 () (forall @t369 (or @t24 @t155 @t154 @t153 @t365 @t364 @t363 @t362 (= @t360 @t359)))) % 33.44/33.63 (define @t398 () (= @t222 @t395)) % 33.44/33.63 (define @t399 () (or @t233 @t232 @t230 @t228 @t225 @t224 @t354 @t353 @t398)) % 33.44/33.63 (define @t400 () (not @t395)) % 33.44/33.63 (define @t401 () (@list true false)) % 33.44/33.63 (define @t402 () (tptp.k1_tarski @t350)) % 33.44/33.63 (define @t403 () (= (tptp.k9_relat_1 @t160 @t285) @t402)) % 33.44/33.63 (define @t404 () (= @t350 (tptp.k1_setfam_1 @t402))) % 33.44/33.63 (define @t405 () (and @t272 @t281 @t286 @t352 @t403 @t404)) % 33.44/33.63 (define @t406 () (tptp.m1_subset_1 @t160 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t163 @t162)))) % 33.44/33.63 (define @t407 () (or @t178 @t406)) % 33.44/33.63 (define @t408 () (tptp.v1_relat_1 @t160)) % 33.44/33.63 (define @t409 () (not @t406)) % 33.44/33.63 (define @t410 () (or @t409 @t408)) % 33.44/33.63 (define @t411 () (tptp.r2_hidden @t220 @t244)) % 33.44/33.63 (define @t412 () (not @t411)) % 33.44/33.63 (define @t413 () (not @t408)) % 33.44/33.63 (define @t414 () (or @t413 @t274 @t412 @t403)) % 33.44/33.63 (define @t415 () (and @t171 @t250 @t259)) % 33.44/33.63 (define @t416 () (@list true false false)) % 33.44/33.63 (define @t417 () (not @t172)) % 33.44/33.63 (define @t418 () (tptp.v1_xboole_0 @t162)) % 33.44/33.63 (define @t419 () (not @t119)) % 33.44/33.63 (define @t420 () (not @t418)) % 33.44/33.63 (define @t421 () (and @t420 @t183 @t119)) % 33.44/33.63 (assume @p1 @t30) % 33.44/33.63 (assume @p2 (forall @t28 (=> @t21 (=> (tptp.v1_group_1 @t3) (= @t3 (tptp.g1_group_1 @t32 @t31)))))) % 33.44/33.63 (assume @p3 (forall @t34 (=> @t33 (not (tptp.r2_hidden @t1 @t3))))) % 33.44/33.63 (assume @p4 (forall @t40 (=> @t39 (=> (and @t36 @t38) @t37)))) % 33.44/33.63 (assume @p5 @t44) % 33.44/33.63 (assume @p6 (forall @t34 (=> @t46 (forall @t15 (=> @t39 (=> @t37 (and @t36 @t38 @t35))))))) % 33.44/33.63 (assume @p7 (forall @t34 (=> @t49 (forall @t15 (=> @t39 (=> @t37 (and @t36 @t12 @t38 @t35))))))) % 33.44/33.63 (assume @p8 @t59) % 33.44/33.63 (assume @p9 @t64) % 33.44/33.63 (assume @p10 @t79) % 33.44/33.63 (assume @p11 @t89) % 33.44/33.63 (assume @p12 (forall @t34 (=> @t92 (and (tptp.v1_group_1 @t90) (tptp.l1_group_1 @t90))))) % 33.44/33.63 (assume @p13 (forall @t34 (=> @t96 (tptp.m1_subset_1 @t94 @t93)))) % 33.44/33.63 (assume @p14 true) % 33.44/33.63 (assume @p15 @t98) % 33.44/33.63 (assume @p16 @t105) % 33.44/33.63 (assume @p17 (forall @t34 (=> (and @t25 @t23 @t22 @t21 @t46 @t84) (and (tptp.v1_group_1 @t81) (tptp.m1_group_2 @t81 @t3))))) % 33.44/33.63 (assume @p18 (forall @t40 (=> @t39 (tptp.m1_subset_1 @t54 @t106)))) % 33.44/33.63 (assume @p19 (forall @t28 (tptp.v4_finsub_1 @t93))) % 33.44/33.63 (assume @p20 (forall @t34 (=> @t108 (tptp.m1_subset_1 @t107 @t106)))) % 33.44/33.63 (assume @p21 (forall @t104 (=> @t110 (tptp.m1_subset_1 @t109 @t1)))) % 33.44/33.63 (assume @p22 (forall @t28 (=> @t21 @t111))) % 33.44/33.63 (assume @p23 (forall @t28 (=> @t113 (forall @t19 (=> @t112 (and (not (tptp.v3_struct_0 @t1)) (tptp.v3_group_1 @t1) (tptp.l1_group_1 @t1))))))) % 33.44/33.63 (assume @p24 @t114) % 33.44/33.63 (assume @p25 (forall @t28 (=> @t21 (and (tptp.v1_funct_1 @t31) (tptp.v1_funct_2 @t31 @t115 @t32) (tptp.m2_relset_1 @t31 @t115 @t32))))) % 33.44/33.63 (assume @p26 (exists @t28 @t21)) % 33.44/33.63 (assume @p27 (exists @t28 @t111)) % 33.44/33.63 (assume @p28 (forall @t28 (=> @t113 (exists @t19 @t112)))) % 33.44/33.63 (assume @p29 (forall @t34 (exists @t15 @t39))) % 33.44/33.63 (assume @p30 (forall @t28 (exists @t19 @t95))) % 33.44/33.63 (assume @p31 (forall @t34 (exists @t15 @t58))) % 33.44/33.63 (assume @p32 @t117) % 33.44/33.63 (assume @p33 (forall @t28 (=> @t118 (not (tptp.v1_xboole_0 @t32))))) % 33.44/33.63 (assume @p34 (forall @t28 (not (tptp.v1_xboole_0 @t106)))) % 33.44/33.63 (assume @p35 @t119) % 33.44/33.63 (assume @p36 (forall @t28 (not (tptp.v1_xboole_0 @t120)))) % 33.44/33.63 (assume @p37 (forall @t34 (=> @t49 (not (tptp.v1_xboole_0 @t42))))) % 33.44/33.63 (assume @p38 (forall @t34 (=> @t92 (forall (@list @t2 @t100) (=> (= @t90 (tptp.g1_group_1 @t2 @t100)) (and (= @t3 @t2) (= @t1 @t100))))))) % 33.44/33.63 (assume @p39 (forall @t34 (exists @t15 (and @t39 @t41 @t36 @t35)))) % 33.44/33.63 (assume @p40 (forall @t28 (=> @t48 (exists @t19 (and @t121 @t46))))) % 33.44/33.63 (assume @p41 (exists @t28 @t47)) % 33.44/33.63 (assume @p42 (forall @t34 (exists @t15 (and @t39 @t41 @t36)))) % 33.44/33.63 (assume @p43 (forall @t28 (exists @t19 (and @t121 @t45)))) % 33.44/33.63 (assume @p44 (exists @t28 @t48)) % 33.44/33.63 (assume @p45 (exists @t28 (and @t111 @t25))) % 33.44/33.63 (assume @p46 (forall @t28 (=> @t118 (exists @t19 (and (tptp.m1_subset_1 @t1 @t71) @t46))))) % 33.44/33.63 (assume @p47 @t123) % 33.44/33.63 (assume @p48 @t125) % 33.44/33.63 (assume @p49 @t127) % 33.44/33.63 (assume @p50 @t129) % 33.44/33.63 (assume @p51 (forall @t104 (=> @t110 (= @t109 (tptp.k1_funct_1 @t2 @t100))))) % 33.44/33.63 (assume @p52 @t130) % 33.44/33.63 (assume @p53 (forall @t34 (tptp.r1_tarski @t3 @t3))) % 33.44/33.63 (assume @p54 @t136) % 33.44/33.63 (assume @p55 @t138) % 33.44/33.63 (assume @p56 (forall @t34 (=> @t33 @t139))) % 33.44/33.63 (assume @p57 @t141) % 33.44/33.63 (assume @p58 (forall @t34 (= (tptp.m1_subset_1 @t3 @t99) (tptp.r1_tarski @t3 @t1)))) % 33.44/33.63 (assume @p59 (forall @t40 (=> (and @t33 @t142) (tptp.m1_subset_1 @t3 @t2)))) % 33.44/33.63 (assume @p60 (forall @t40 (not (and @t33 @t142 @t11)))) % 33.44/33.63 (assume @p61 (forall @t28 (=> @t26 (forall @t19 (=> @t112 (forall @t15 (=> @t60 (=> (= @t143 @t65) (= (tptp.g1_group_1 @t143 (tptp.u1_group_1 @t1)) (tptp.g1_group_1 @t65 (tptp.u1_group_1 @t2))))))))))) % 33.44/33.63 (assume @p62 (forall @t28 (=> @t47 @t51))) % 33.44/33.63 (assume @p63 (forall @t34 (not (and @t33 @t45)))) % 33.44/33.63 (assume @p64 (forall @t34 (not (and @t47 (not (= @t3 @t1)) @t45)))) % 33.44/33.63 (step @p65 :rule aci_norm :args ((= (or @t144 @t52) @t145))) % 33.44/33.63 (step @p66 :rule bool-impl-elim :args (@t53 @t52)) % 33.44/33.63 (step @p67 :rule trans :premises (@p66 @p65)) % 33.44/33.63 (step @p68 :rule refl :args (@t55)) % 33.44/33.63 (step @p69 :rule bool-implies-de-morgan :args (@t53 @t51)) % 33.44/33.63 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t56) @t55))) % 33.44/33.63 (step @p71 :rule bool-impl-elim :args (@t56 @t55)) % 33.44/33.63 (step @p72 :rule trans :premises (@p71 @p70)) % 33.44/33.63 (step @p73 :rule nary_cong :premises (@p72 @p67) :args (@t57)) % 33.44/33.63 (step @p74 :rule refl :args (@t146)) % 33.44/33.63 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t146 @t57))) % 33.44/33.63 (step @p76 :rule bool-impl-elim :args (@t58 @t57)) % 33.44/33.63 (step @p77 :rule trans :premises (@p76 @p75)) % 33.44/33.63 (step @p78 :rule cong :premises (@p77) :args (@t59)) % 33.44/33.63 (step @p79 :rule eq_resolve :premises (@p8 @p78)) % 33.44/33.63 (step @p80 :rule eq-symm :args (@t160 tptp.k1_xboole_0)) % 33.44/33.63 (step @p81 :rule refl :args (@t164)) % 33.44/33.63 (step @p82 :rule cong :premises (@p81 @p80) :args (@t165)) % 33.44/33.63 (step @p83 :rule eq-symm :args (@t163 tptp.k1_xboole_0)) % 33.44/33.63 (step @p84 :rule eq-symm :args (@t162 tptp.k1_xboole_0)) % 33.44/33.63 (step @p85 :rule cong :premises (@p84) :args (@t167)) % 33.44/33.63 (step @p86 :rule nary_cong :premises (@p85 @p83 @p82) :args (@t169)) % 33.44/33.63 (step @p87 :rule refl :args (@t172)) % 33.44/33.63 (step @p88 :rule cong :premises (@p83) :args (@t173)) % 33.44/33.63 (step @p89 :rule nary_cong :premises (@p84 @p88) :args (@t174)) % 33.44/33.63 (step @p90 :rule nary_cong :premises (@p89 @p87) :args (@t175)) % 33.44/33.63 (step @p91 :rule nary_cong :premises (@p90 @p86) :args (@t176)) % 33.44/33.63 (step @p92 :rule refl :args (@t178)) % 33.44/33.63 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t179)) % 33.44/33.63 (step @p94 :rule refl :args (@t180)) % 33.44/33.63 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t180 @t179))) % 33.44/33.63 (assume-push @p753 @t180) % 33.44/33.63 (step @p97 :rule instantiate :premises (@p79) :args (@t181)) % 33.44/33.63 (step-pop @p754 :rule scope :premises (@p97)) % 33.44/33.63 (step @p98 :rule process_scope :premises (@p754) :args (@t179)) % 33.44/33.63 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 33.44/33.63 (step @p101 :rule implies_elim :premises (@p100)) % 33.44/33.63 (step @p102 :rule chain_m_resolution :premises (@p101 @p79) :args (@t188 @t189 (@list @t180))) % 33.44/33.63 (step @p103 :rule aci_norm :args ((= (or @t190 @t97) (or @t24 @t155 @t154 @t153 @t97)))) % 33.44/33.63 (step @p104 :rule refl :args (@t97)) % 33.44/33.63 (step @p105 :rule refl :args (@t153)) % 33.44/33.63 (step @p106 :rule refl :args (@t154)) % 33.44/33.63 (step @p107 :rule refl :args (@t155)) % 33.44/33.63 (step @p108 :rule bool-double-not-elim :args (@t24)) % 33.44/33.63 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105) :args (@t192)) % 33.44/33.63 (step @p110 :rule aci_norm :args ((= (or @t191 (or @t155 (or @t154 @t153))) @t192))) % 33.44/33.63 (step @p111 :rule trans :premises (@p110 @p109)) % 33.44/33.63 (step @p112 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 33.44/33.63 (step @p113 :rule nary_cong :premises (@p107 @p112) :args ((or @t155 (not (and @t22 @t21))))) % 33.44/33.63 (step @p114 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21))) % 33.44/33.63 (step @p115 :rule trans :premises (@p114 @p113)) % 33.44/33.63 (step @p116 :rule refl :args (@t191)) % 33.44/33.63 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t191 (not (and @t23 @t22 @t21))))) % 33.44/33.63 (step @p118 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22 @t21))) % 33.44/33.63 (step @p119 :rule trans :premises (@p118 @p117)) % 33.44/33.63 (step @p120 :rule trans :premises (@p119 @p111)) % 33.44/33.63 (step @p121 :rule nary_cong :premises (@p120 @p104) :args ((or @t193 @t97))) % 33.44/33.63 (step @p122 :rule trans :premises (@p121 @p103)) % 33.44/33.63 (step @p123 :rule bool-impl-elim :args (@t26 @t97)) % 33.44/33.63 (step @p124 :rule trans :premises (@p123 @p122)) % 33.44/33.63 (step @p125 :rule cong :premises (@p124) :args (@t98)) % 33.44/33.63 (step @p126 :rule eq_resolve :premises (@p15 @p125)) % 33.44/33.63 (step @p127 :rule instantiate :premises (@p126) :args (@t194)) % 33.44/33.63 (step @p128 :rule aci_norm :args ((= @t196 @t156))) % 33.44/33.63 (step @p129 :rule cong :premises (@p128) :args (@t197)) % 33.44/33.63 (step @p130 :rule quant-merge-prenex :args ((= (forall @t28 @t199) @t197))) % 33.44/33.63 (step @p131 :rule alpha_equiv :args (@t200 (@list @t147) @t201)) % 33.44/33.63 (step @p132 :rule refl :args (@t24)) % 33.44/33.63 (step @p133 :rule nary_cong :premises (@p132 @p107 @p106 @p105 @p131) :args (@t202)) % 33.44/33.63 (step @p134 :rule quant-miniscope-or :args ((= @t199 @t202))) % 33.44/33.63 (step @p135 :rule trans :premises (@p134 @p133)) % 33.44/33.63 (step @p136 :rule symm :premises (@p135)) % 33.44/33.63 (step @p137 :rule cong :premises (@p136) :args ((forall @t28 @t209))) % 33.44/33.63 (step @p138 :rule trans :premises (@p137 @p130)) % 33.44/33.63 (step @p139 :rule trans :premises (@p138 @p129)) % 33.44/33.63 (step @p140 :rule aci_norm :args ((= (or @t190 @t208) @t209))) % 33.44/33.63 (step @p141 :rule refl :args (@t208)) % 33.44/33.63 (step @p142 :rule nary_cong :premises (@p120 @p141) :args ((or @t193 @t208))) % 33.44/33.63 (step @p143 :rule trans :premises (@p142 @p140)) % 33.44/33.63 (step @p144 :rule bool-impl-elim :args (@t26 @t208)) % 33.44/33.63 (step @p145 :rule trans :premises (@p144 @p143)) % 33.44/33.63 (step @p146 :rule cong :premises (@p145) :args ((forall @t28 (=> @t26 @t208)))) % 33.44/33.63 (step @p147 :rule trans :premises (@p146 @p139)) % 33.44/33.63 (step @p148 :rule aci_norm :args ((= (or @t206 @t210) @t207))) % 33.44/33.63 (step @p149 :rule bool-impl-elim :args (@t17 @t210)) % 33.44/33.63 (step @p150 :rule trans :premises (@p149 @p148)) % 33.44/33.63 (step @p151 :rule cong :premises (@p150) :args ((forall @t19 (=> @t17 @t210)))) % 33.44/33.63 (step @p152 :rule aci_norm :args ((= (or @t205 @t204 false @t203) @t210))) % 33.44/33.63 (step @p153 :rule refl :args (@t203)) % 33.44/33.63 (step @p154 :rule evaluate :args ((not true))) % 33.44/33.63 (step @p155 :rule eq-refl :args (@t6)) % 33.44/33.63 (step @p156 :rule cong :premises (@p155) :args (@t211)) % 33.44/33.63 (step @p157 :rule trans :premises (@p156 @p154)) % 33.44/33.63 (step @p158 :rule refl :args (@t204)) % 33.44/33.63 (step @p159 :rule refl :args (@t205)) % 33.44/33.63 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157 @p153) :args (@t212)) % 33.44/33.63 (step @p161 :rule trans :premises (@p160 @p152)) % 33.44/33.63 (step @p162 :rule quant-var-elim-eq :args ((= (forall @t15 @t216) @t212))) % 33.44/33.63 (step @p163 :rule aci_norm :args ((= @t217 @t216))) % 33.44/33.63 (step @p164 :rule cong :premises (@p163) :args ((forall @t15 @t217))) % 33.44/33.63 (step @p165 :rule trans :premises (@p164 @p162)) % 33.44/33.63 (step @p166 :rule trans :premises (@p165 @p161)) % 33.44/33.63 (step @p167 :rule aci_norm :args ((= (or (or @t11 @t215) (or @t214 @t213)) @t217))) % 33.44/33.63 (step @p168 :rule bool-impl-elim :args (@t7 @t213)) % 33.44/33.63 (step @p169 :rule refl :args (@t215)) % 33.44/33.63 (step @p170 :rule bool-double-not-elim :args (@t11)) % 33.44/33.63 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t12) @t215))) % 33.44/33.63 (step @p172 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 33.44/33.63 (step @p173 :rule trans :premises (@p172 @p171)) % 33.44/33.63 (step @p174 :rule nary_cong :premises (@p173 @p168) :args ((or (not @t13) @t218))) % 33.44/33.63 (step @p175 :rule trans :premises (@p174 @p167)) % 33.44/33.63 (step @p176 :rule bool-impl-elim :args (@t13 @t218)) % 33.44/33.63 (step @p177 :rule trans :premises (@p176 @p175)) % 33.44/33.63 (step @p178 :rule cong :premises (@p177) :args ((forall @t15 (=> @t13 @t218)))) % 33.44/33.63 (step @p179 :rule trans :premises (@p178 @p166)) % 33.44/33.63 (step @p180 :rule eq-symm :args (@t4 @t1)) % 33.44/33.63 (step @p181 :rule refl :args (@t7)) % 33.44/33.63 (step @p182 :rule cong :premises (@p181 @p180) :args (@t8)) % 33.44/33.63 (step @p183 :rule refl :args (@t13)) % 33.44/33.63 (step @p184 :rule cong :premises (@p183 @p182) :args (@t14)) % 33.44/33.63 (step @p185 :rule cong :premises (@p184) :args (@t16)) % 33.44/33.63 (step @p186 :rule trans :premises (@p185 @p179)) % 33.44/33.63 (step @p187 :rule refl :args (@t17)) % 33.44/33.63 (step @p188 :rule cong :premises (@p187 @p186) :args (@t18)) % 33.44/33.63 (step @p189 :rule cong :premises (@p188) :args (@t20)) % 33.44/33.63 (step @p190 :rule trans :premises (@p189 @p151)) % 33.44/33.63 (step @p191 :rule refl :args (@t26)) % 33.44/33.63 (step @p192 :rule cong :premises (@p191 @p190) :args (@t27)) % 33.44/33.63 (step @p193 :rule cong :premises (@p192) :args (@t29)) % 33.44/33.63 (step @p194 :rule trans :premises (@p193 @p147)) % 33.44/33.63 (step @p195 :rule cong :premises (@p194) :args (@t30)) % 33.44/33.63 (step @p196 :rule eq_resolve :premises (@p1 @p195)) % 33.44/33.63 (step @p197 :rule skolemize :premises (@p196)) % 33.44/33.63 (step @p198 :rule bool-double-not-elim :args (@t219)) % 33.44/33.63 (step @p199 :rule refl :args (@t234)) % 33.44/33.63 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or @t234 (not @t228)))) % 33.44/33.63 (step @p201 :rule cnf_or_neg :args (@t234 3)) % 33.44/33.63 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 33.44/33.63 (step @p203 :rule reordering :premises (@p202) :args ((or @t219 @t234))) % 33.44/33.63 (step @p204 :rule chain_m_resolution :premises (@p203 @p197) :args (@t219 @t235 @t236)) % 33.44/33.63 (step @p205 :rule bool-double-not-elim :args (@t229)) % 33.44/33.63 (step @p206 :rule nary_cong :premises (@p199 @p205) :args ((or @t234 (not @t230)))) % 33.44/33.63 (step @p207 :rule cnf_or_neg :args (@t234 2)) % 33.44/33.63 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 33.44/33.63 (step @p209 :rule reordering :premises (@p208) :args ((or @t229 @t234))) % 33.44/33.63 (step @p210 :rule chain_m_resolution :premises (@p209 @p197) :args (@t229 @t235 @t236)) % 33.44/33.63 (step @p211 :rule bool-double-not-elim :args (@t231)) % 33.44/33.63 (step @p212 :rule nary_cong :premises (@p199 @p211) :args ((or @t234 (not @t232)))) % 33.44/33.63 (step @p213 :rule cnf_or_neg :args (@t234 1)) % 33.44/33.63 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 33.44/33.63 (step @p215 :rule reordering :premises (@p214) :args ((or @t231 @t234))) % 33.44/33.63 (step @p216 :rule chain_m_resolution :premises (@p215 @p197) :args (@t231 @t235 @t236)) % 33.44/33.63 (step @p217 :rule cnf_or_neg :args (@t234 0)) % 33.44/33.63 (step @p218 :rule chain_m_resolution :premises (@p217 @p197) :args ((not @t233) @t235 @t236)) % 33.44/33.63 (step @p219 :rule cnf_or_pos :args (@t239)) % 33.44/33.63 (step @p220 :rule reordering :premises (@p219) :args ((or @t233 @t232 @t230 @t228 @t238 (not @t239)))) % 33.44/33.63 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p216 @p210 @p204 @p127) :args (@t238 @t240 (@list @t233 @t231 @t229 @t219 @t239))) % 33.44/33.63 (step @p222 :rule cnf_and_pos :args (@t238 2)) % 33.44/33.63 (step @p223 :rule reordering :premises (@p222) :args ((or @t177 @t241))) % 33.44/33.63 (step @p224 :rule chain_m_resolution :premises (@p223 @p221) :args (@t177 @t189 @t242)) % 33.44/33.63 (step @p225 :rule cnf_or_pos :args (@t188)) % 33.44/33.63 (step @p226 :rule reordering :premises (@p225) :args ((or @t178 @t187 (not @t188)))) % 33.44/33.63 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p102) :args (@t187 @t243 (@list @t177 @t188))) % 33.44/33.63 (step @p228 :rule cnf_and_pos :args (@t187 0)) % 33.44/33.63 (step @p229 :rule reordering :premises (@p228) :args ((or @t186 (not @t187)))) % 33.44/33.63 (step @p230 :rule chain_m_resolution :premises (@p229 @p227) :args (@t186 @t189 (@list 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(@p344 @p342 @p330) :args (@t281 @t243 (@list @t277 @t283))) % 33.44/33.63 (step @p346 :rule aci_norm :args ((= (or (or @t47 @t284) @t122) (or @t47 @t284 @t122)))) % 33.44/33.63 (step @p347 :rule refl :args (@t122)) % 33.44/33.63 (step @p348 :rule refl :args (@t284)) % 33.44/33.63 (step @p349 :rule bool-double-not-elim :args (@t47)) % 33.44/33.63 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or (not @t48) @t284))) % 33.44/33.63 (step @p351 :rule bool-and-de-morgan :args (@t48 @t95 true)) % 33.44/33.63 (step @p352 :rule trans :premises (@p351 @p350)) % 33.44/33.63 (step @p353 :rule nary_cong :premises (@p352 @p347) :args ((or (not @t96) @t122))) % 33.44/33.63 (step @p354 :rule trans :premises (@p353 @p346)) % 33.44/33.63 (step @p355 :rule bool-impl-elim :args (@t96 @t122)) % 33.44/33.63 (step @p356 :rule trans :premises (@p355 @p354)) % 33.44/33.63 (step @p357 :rule cong :premises (@p356) :args (@t123)) % 33.44/33.63 (step @p358 :rule eq_resolve :premises (@p47 @p357)) % 33.44/33.63 (step @p359 :rule instantiate :premises (@p358) :args ((@list @t163 @t220))) % 33.44/33.63 (step @p360 :rule cnf_or_pos :args (@t287)) % 33.44/33.63 (step @p361 :rule reordering :premises (@p360) :args ((or @t227 @t256 @t286 (not @t287)))) % 33.44/33.63 (step @p362 :rule chain_m_resolution :premises (@p361 @p288 @p282 @p359) :args (@t286 @t261 (@list @t226 @t256 @t287))) % 33.44/33.63 (step @p363 :rule eq-symm :args (@t289 @t65)) % 33.44/33.63 (step @p364 :rule refl :args (@t290)) % 33.44/33.63 (step @p365 :rule refl :args (@t291)) % 33.44/33.63 (step @p366 :rule nary_cong :premises (@p365 @p364 @p363) :args (@t292)) % 33.44/33.63 (step @p367 :rule cong :premises (@p366) :args (@t293)) % 33.44/33.63 (step @p368 :rule eq-symm :args (@t288 @t68)) % 33.44/33.63 (step @p369 :rule cong :premises (@p368 @p367) :args (@t294)) % 33.44/33.63 (step @p370 :rule refl :args (@t295)) % 33.44/33.63 (step @p371 :rule refl :args (@t296)) % 33.44/33.63 (step @p372 :rule refl :args (@t297)) % 33.44/33.63 (step @p373 :rule refl :args (@t153)) % 33.44/33.63 (step @p374 :rule refl :args (@t154)) % 33.44/33.63 (step @p375 :rule refl :args (@t155)) % 33.44/33.63 (step @p376 :rule refl :args (@t24)) % 33.44/33.63 (step @p377 :rule nary_cong :premises (@p376 @p375 @p374 @p373 @p372 @p371 @p370 @p369) :args (@t298)) % 33.44/33.63 (step @p378 :rule aci_norm :args ((= @t300 @t298))) % 33.44/33.63 (step @p379 :rule trans :premises (@p378 @p377)) % 33.44/33.63 (step @p380 :rule cong :premises (@p379) :args (@t302)) % 33.44/33.63 (step @p381 :rule quant-merge-prenex :args ((= (forall @t28 @t304) @t302))) % 33.44/33.63 (step @p382 :rule alpha_equiv :args (@t305 (@list @t288) @t201)) % 33.44/33.63 (step @p383 :rule nary_cong :premises (@p132 @p107 @p106 @p105 @p382) :args (@t306)) % 33.44/33.63 (step @p384 :rule quant-miniscope-or :args ((= @t304 @t306))) % 33.44/33.63 (step @p385 :rule trans :premises (@p384 @p383)) % 33.44/33.63 (step @p386 :rule symm :premises (@p385)) % 33.44/33.63 (step @p387 :rule cong :premises (@p386) :args ((forall @t28 @t313))) % 33.44/33.63 (step @p388 :rule trans :premises (@p387 @p381)) % 33.44/33.63 (step @p389 :rule trans :premises (@p388 @p380)) % 33.44/33.63 (step @p390 :rule aci_norm :args ((= (or @t190 @t312) @t313))) % 33.44/33.63 (step @p391 :rule refl :args (@t312)) % 33.44/33.63 (step @p392 :rule nary_cong :premises (@p120 @p391) :args ((or @t193 @t312))) % 33.44/33.63 (step @p393 :rule trans :premises (@p392 @p390)) % 33.44/33.63 (step @p394 :rule bool-impl-elim :args (@t26 @t312)) % 33.44/33.63 (step @p395 :rule trans :premises (@p394 @p393)) % 33.44/33.63 (step @p396 :rule cong :premises (@p395) :args ((forall @t28 (=> @t26 @t312)))) % 33.44/33.63 (step @p397 :rule trans :premises (@p396 @p389)) % 33.44/33.63 (step @p398 :rule aci_norm :args ((= (or @t314 @t308) @t311))) % 33.44/33.63 (step @p399 :rule refl :args (@t308)) % 33.44/33.63 (step @p400 :rule aci_norm :args ((= (or @t263 (or @t310 @t309)) @t314))) % 33.44/33.63 (step @p401 :rule bool-and-de-morgan :args (@t73 @t72 true)) % 33.44/33.63 (step @p402 :rule refl :args (@t263)) % 33.44/33.63 (step @p403 :rule nary_cong :premises (@p402 @p401) :args ((or @t263 (not (and @t73 @t72))))) % 33.44/33.63 (step @p404 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72))) % 33.44/33.63 (step @p405 :rule trans :premises (@p404 @p403)) % 33.44/33.63 (step @p406 :rule trans :premises (@p405 @p400)) % 33.44/33.63 (step @p407 :rule nary_cong :premises (@p406 @p399) :args ((or (not @t75) @t308))) % 33.44/33.63 (step @p408 :rule trans :premises (@p407 @p398)) % 33.44/33.63 (step @p409 :rule bool-impl-elim :args (@t75 @t308)) % 33.44/33.63 (step @p410 :rule trans :premises (@p409 @p408)) % 33.44/33.63 (step @p411 :rule cong :premises (@p410) :args ((forall @t19 (=> @t75 @t308)))) % 33.44/33.63 (step @p412 :rule aci_norm :args ((= (or @t315 @t66) @t307))) % 33.44/33.63 (step @p413 :rule refl :args (@t66)) % 33.44/33.63 (step @p414 :rule bool-and-de-morgan :args 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@p443) :args ((=> @t321 @t320))) % 33.44/33.63 (assume-push @p759 @t321) % 33.44/33.63 (step @p447 :rule instantiate :premises (@p429) :args ((@list @t159 @t160))) % 33.44/33.63 (step-pop @p760 :rule scope :premises (@p447)) % 33.44/33.63 (step @p448 :rule process_scope :premises (@p760) :args (@t320)) % 33.44/33.63 (step @p450 :rule eq_resolve :premises (@p448 @p445)) % 33.44/33.63 (step @p451 :rule implies_elim :premises (@p450)) % 33.44/33.63 (step @p452 :rule chain_m_resolution :premises (@p451 @p429) :args (@t322 @t189 (@list @t321))) % 33.44/33.63 (step @p453 :rule cnf_or_pos :args (@t322)) % 33.44/33.63 (step @p454 :rule reordering :premises (@p453) :args ((or @t233 @t232 @t230 @t228 @t274 @t273 @t178 @t318 (not @t322)))) % 33.44/33.63 (step @p455 :rule chain_m_resolution :premises (@p454 @p218 @p216 @p210 @p204 @p323 @p320 @p224 @p452) :args (@t318 (@list true false false false false false false false) (@list @t233 @t231 @t229 @t219 @t237 @t164 @t177 @t322))) % 33.44/33.63 (step @p456 :rule instantiate :premises (@p455) :args (@t323)) % 33.44/33.63 (step @p457 :rule eq-symm :args (@t325 @t62)) % 33.44/33.63 (step @p458 :rule cong :premises (@p457) :args (@t326)) % 33.44/33.63 (step @p459 :rule eq-symm :args (@t324 @t5)) % 33.44/33.63 (step @p460 :rule cong :premises (@p459 @p458) :args (@t327)) % 33.44/33.63 (step @p461 :rule nary_cong :premises (@p376 @p375 @p374 @p373 @p460) :args (@t328)) % 33.44/33.63 (step @p462 :rule cong :premises (@p461) :args (@t330)) % 33.44/33.63 (step @p463 :rule quant-merge-prenex :args ((= (forall @t28 @t332) @t330))) % 33.44/33.63 (step @p464 :rule alpha_equiv :args (@t333 (@list @t324) @t201)) % 33.44/33.63 (step @p465 :rule nary_cong :premises (@p132 @p107 @p106 @p105 @p464) :args (@t334)) % 33.44/33.63 (step @p466 :rule quant-miniscope-or :args ((= @t332 @t334))) % 33.44/33.63 (step @p467 :rule trans :premises (@p466 @p465)) % 33.44/33.63 (step @p468 :rule symm :premises (@p467)) % 33.44/33.63 (step @p469 :rule cong 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33.44/33.63 (step @p509 :rule cnf_and_pos :args (@t346 0)) % 33.44/33.63 (step @p510 :rule reordering :premises (@p509) :args ((or @t345 @t348))) % 33.44/33.63 (step @p511 :rule chain_m_resolution :premises (@p510 @p505) :args (@t345 @t189 @t349)) % 33.44/33.63 (step @p512 :rule cnf_or_pos :args (@t355)) % 33.44/33.63 (step @p513 :rule reordering :premises (@p512) :args ((or @t354 @t352 @t353 (not @t355)))) % 33.44/33.63 (step @p514 :rule chain_m_resolution :premises (@p513 @p511 @p508 @p456) :args (@t352 (@list false false false) (@list @t345 @t344 @t355))) % 33.44/33.63 (step @p515 :rule eq-symm :args (@t137 @t3)) % 33.44/33.63 (step @p516 :rule cong :premises (@p515) :args (@t138)) % 33.44/33.63 (step @p517 :rule eq_resolve :premises (@p55 @p516)) % 33.44/33.63 (step @p518 :rule instantiate :premises (@p517) :args ((@list @t350))) % 33.44/33.63 (step @p519 :rule eq-symm :args (@t359 @t360)) % 33.44/33.63 (step @p520 :rule refl :args (@t360)) % 33.44/33.63 (step @p521 :rule eq-symm 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@p562 @p561) :args (@t391)) % 33.44/33.63 (step @p565 :rule quant-miniscope-or :args ((= @t389 @t391))) % 33.44/33.63 (step @p566 :rule trans :premises (@p565 @p564)) % 33.44/33.63 (step @p567 :rule symm :premises (@p566)) % 33.44/33.63 (step @p568 :rule cong :premises (@p567) :args ((forall @t19 @t394))) % 33.44/33.63 (step @p569 :rule trans :premises (@p568 @p560)) % 33.44/33.63 (step @p570 :rule trans :premises (@p569 @p559)) % 33.44/33.63 (step @p571 :rule aci_norm :args ((= (or (or @t45 @t379) @t393) @t394))) % 33.44/33.63 (step @p572 :rule refl :args (@t393)) % 33.44/33.63 (step @p573 :rule bool-double-not-elim :args (@t45)) % 33.44/33.63 (step @p574 :rule nary_cong :premises (@p573 @p562) :args ((or (not @t46) @t379))) % 33.44/33.63 (step @p575 :rule bool-and-de-morgan :args (@t46 @t84 true)) % 33.44/33.63 (step @p576 :rule trans :premises (@p575 @p574)) % 33.44/33.63 (step @p577 :rule nary_cong :premises (@p576 @p572) :args ((or (not @t85) @t393))) % 33.44/33.63 (step @p578 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33.44/33.63 (step @p593 :rule trans :premises (@p592 @p582)) % 33.44/33.63 (step @p594 :rule cong :premises (@p191 @p593) :args (@t88)) % 33.44/33.63 (step @p595 :rule cong :premises (@p594) :args (@t89)) % 33.44/33.63 (step @p596 :rule trans :premises (@p595 @p548)) % 33.44/33.63 (step @p597 :rule eq_resolve :premises (@p11 @p596)) % 33.44/33.63 (step @p598 :rule eq-symm :args (@t395 @t222)) % 33.44/33.63 (step @p599 :rule refl :args (@t353)) % 33.44/33.63 (step @p600 :rule refl :args (@t354)) % 33.44/33.63 (step @p601 :rule refl :args (@t224)) % 33.44/33.63 (step @p602 :rule refl :args (@t225)) % 33.44/33.63 (step @p603 :rule nary_cong :premises (@p442 @p441 @p440 @p439 @p602 @p601 @p600 @p599 @p598) :args (@t396)) % 33.44/33.63 (step @p604 :rule refl :args (@t397)) % 33.44/33.63 (step @p605 :rule cong :premises (@p604 @p603) :args ((=> @t397 @t396))) % 33.44/33.63 (assume-push @p763 @t397) % 33.44/33.63 (step @p607 :rule instantiate :premises (@p597) :args ((@list @t159 @t221 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(@p619 @p197) :args ((not @t225) @t235 @t236)) % 33.44/33.63 (step @p621 :rule cnf_or_pos :args (@t399)) % 33.44/33.63 (step @p622 :rule reordering :premises (@p621) :args ((or @t233 @t232 @t230 @t228 @t225 @t224 @t354 @t353 @t398 (not @t399)))) % 33.44/33.63 (step @p623 :rule chain_m_resolution :premises (@p622 @p218 @p216 @p210 @p204 @p620 @p618 @p511 @p508 @p612) :args (@t398 (@list true false false false true false false false false) (@list @t233 @t231 @t229 @t219 @t225 @t223 @t345 @t344 @t399))) % 33.44/33.63 (step @p624 :rule cnf_or_neg :args (@t234 7)) % 33.44/33.63 (step @p625 :rule chain_m_resolution :premises (@p624 @p197) :args ((not @t222) @t235 @t236)) % 33.44/33.63 (step @p626 :rule cnf_equiv_pos2 :args (@t398)) % 33.44/33.63 (step @p627 :rule reordering :premises (@p626) :args ((or @t222 @t400 (not @t398)))) % 33.44/33.63 (step @p628 :rule chain_m_resolution :premises (@p627 @p625 @p623) :args (@t400 @t401 (@list @t222 @t398))) % 33.44/33.63 (assume-push @p765 @t272) % 33.44/33.63 (assume-push @p766 @t281) % 33.44/33.63 (assume-push @p767 @t286) % 33.44/33.63 (assume-push @p768 @t352) % 33.44/33.63 (assume-push @p769 @t403) % 33.44/33.63 (assume-push @p770 @t404) % 33.44/33.63 (assume-push @p771 @t352) % 33.44/33.63 (assume-push @p772 @t404) % 33.44/33.63 (assume-push @p773 @t403) % 33.44/33.63 (assume-push @p774 @t286) % 33.44/33.63 (assume-push @p775 @t272) % 33.44/33.63 (assume-push @p776 @t281) % 33.44/33.63 (step @p641 :rule symm :premises (@p514)) % 33.44/33.63 (step @p642 :rule symm :premises (@p518)) % 33.44/33.63 (step @p643 :rule refl :args (@t160)) % 33.44/33.63 (step @p644 :rule cong :premises (@p643 @p362) :args (@t270)) % 33.44/33.63 (step @p645 :rule trans :premises (@p326 @p644 @p769)) % 33.44/33.63 (step @p646 :rule cong :premises (@p645) :args (@t279)) % 33.44/33.63 (step @p647 :rule trans :premises (@p345 @p646 @p642 @p641)) % 33.44/33.63 (step-pop @p777 :rule scope :premises (@p647)) % 33.44/33.63 (step-pop @p778 :rule scope :premises (@p777)) % 33.44/33.63 (step-pop @p779 :rule scope :premises (@p778)) % 33.44/33.63 (step-pop @p780 :rule scope :premises (@p779)) % 33.44/33.63 (step-pop @p781 :rule scope :premises (@p780)) % 33.44/33.63 (step-pop @p782 :rule scope :premises (@p781)) % 33.44/33.63 (step @p648 :rule process_scope :premises (@p782) :args (@t395)) % 33.44/33.63 (step @p655 :rule and_intro :premises (@p514 @p518 @p769 @p362 @p326 @p345)) % 33.44/33.63 (step @p656 :rule modus_ponens :premises (@p655 @p648)) % 33.44/33.63 (step-pop @p783 :rule scope :premises (@p656)) % 33.44/33.63 (step-pop @p784 :rule scope :premises (@p783)) % 33.44/33.63 (step-pop @p785 :rule scope :premises (@p784)) % 33.44/33.63 (step-pop @p786 :rule scope :premises (@p785)) % 33.44/33.63 (step-pop @p787 :rule scope :premises (@p786)) % 33.44/33.63 (step-pop @p788 :rule scope :premises (@p787)) % 33.44/33.63 (step @p657 :rule process_scope :premises (@p788) :args (@t395)) % 33.44/33.63 (step @p664 :rule implies_elim :premises (@p657)) % 33.44/33.63 (step @p665 :rule cnf_and_neg :args (@t405)) % 33.44/33.63 (step @p666 :rule resolution :premises (@p665 @p664) :args (true @t405)) % 33.44/33.63 (step @p667 :rule chain_m_resolution :premises (@p666 @p628 @p518 @p514 @p362 @p345 @p326) :args ((not @t403) (@list true false false false false false) (@list @t395 @t404 @t352 @t286 @t281 @t272))) % 33.44/33.63 (step @p668 :rule bool-impl-elim :args (@t43 @t41)) % 33.44/33.63 (step @p669 :rule cong :premises (@p668) :args (@t44)) % 33.44/33.63 (step @p670 :rule eq_resolve :premises (@p5 @p669)) % 33.44/33.63 (step @p671 :rule instantiate :premises (@p670) :args (@t181)) % 33.44/33.63 (step @p672 :rule bool-impl-elim :args (@t58 @t43)) % 33.44/33.63 (step @p673 :rule cong :premises (@p672) :args (@t114)) % 33.44/33.63 (step @p674 :rule eq_resolve :premises (@p24 @p673)) % 33.44/33.63 (step @p675 :rule instantiate :premises (@p674) :args (@t181)) % 33.44/33.63 (step @p676 :rule cnf_or_pos :args (@t407)) % 33.44/33.63 (step @p677 :rule reordering :premises (@p676) :args ((or @t178 @t406 (not @t407)))) % 33.44/33.63 (step @p678 :rule chain_m_resolution :premises (@p677 @p224 @p675) :args (@t406 @t243 (@list @t177 @t407))) % 33.44/33.63 (step @p679 :rule cnf_or_pos :args (@t410)) % 33.44/33.63 (step @p680 :rule reordering :premises (@p679) :args ((or @t408 @t409 (not @t410)))) % 33.44/33.63 (step @p681 :rule chain_m_resolution :premises (@p680 @p678 @p671) :args (@t408 @t243 (@list @t406 @t410))) % 33.44/33.63 (step @p682 :rule cnf_or_pos :args (@t414)) % 33.44/33.63 (step @p683 :rule reordering :premises (@p682) :args ((or @t274 @t413 @t412 @t403 (not @t414)))) % 33.44/33.63 (step @p684 :rule chain_m_resolution :premises (@p683 @p323 @p681 @p667 @p301) :args (@t412 (@list false false true false) (@list @t237 @t408 @t403 @t414))) % 33.44/33.63 (assume-push @p789 @t171) % 33.44/33.63 (assume-push @p790 @t250) % 33.44/33.63 (assume-push @p791 @t259) % 33.44/33.63 (assume-push @p792 @t259) % 33.44/33.63 (assume-push @p793 @t171) % 33.44/33.63 (assume-push @p794 @t250) % 33.44/33.63 (step @p691 :rule true_intro :premises (@p291)) % 33.44/33.63 (step @p692 :rule symm :premises (@p789)) % 33.44/33.63 (step @p693 :rule trans :premises (@p264 @p692)) % 33.44/33.63 (step @p694 :rule refl :args (@t220)) % 33.44/33.63 (step @p695 :rule cong :premises (@p694 @p693) :args (@t411)) % 33.44/33.63 (step @p696 :rule trans :premises (@p695 @p691)) % 33.44/33.63 (step @p697 :rule true_elim :premises (@p696)) % 33.44/33.63 (step-pop @p795 :rule scope :premises (@p697)) % 33.44/33.63 (step-pop @p796 :rule scope :premises (@p795)) % 33.44/33.63 (step-pop @p797 :rule scope :premises (@p796)) % 33.44/33.63 (step @p698 :rule process_scope :premises (@p797) :args (@t411)) % 33.44/33.63 (step @p702 :rule and_intro :premises (@p291 @p789 @p264)) % 33.44/33.63 (step @p703 :rule modus_ponens :premises (@p702 @p698)) % 33.44/33.63 (step-pop @p798 :rule scope :premises (@p703)) % 33.44/33.63 (step-pop @p799 :rule scope :premises (@p798)) % 33.44/33.63 (step-pop @p800 :rule scope :premises (@p799)) % 33.44/33.63 (step @p704 :rule process_scope :premises (@p800) :args (@t411)) % 33.44/33.63 (step @p708 :rule implies_elim :premises (@p704)) % 33.44/33.63 (step @p709 :rule cnf_and_neg :args (@t415)) % 33.44/33.63 (step @p710 :rule resolution :premises (@p709 @p708) :args (true @t415)) % 33.44/33.63 (step @p711 :rule chain_m_resolution :premises (@p710 @p684 @p291 @p264) :args ((not @t171) @t416 (@list @t411 @t259 @t250))) % 33.44/33.63 (step @p712 :rule cnf_equiv_pos1 :args (@t172)) % 33.44/33.63 (step @p713 :rule reordering :premises (@p712) :args ((or @t273 @t171 @t417))) % 33.44/33.63 (step @p714 :rule chain_m_resolution :premises (@p713 @p320 @p711) :args (@t417 (@list false true) (@list @t164 @t171))) % 33.44/33.63 (step @p715 :rule cnf_or_pos :args (@t186)) % 33.44/33.63 (step @p716 :rule reordering :premises (@p715) :args ((or @t172 @t185 (not @t186)))) % 33.44/33.63 (step @p717 :rule chain_m_resolution :premises (@p716 @p714 @p230) :args (@t185 @t401 (@list @t172 @t186))) % 33.44/33.63 (step @p718 :rule cnf_and_pos :args (@t185 0)) % 33.44/33.63 (step @p719 :rule reordering :premises (@p718) :args ((or @t183 (not @t185)))) % 33.44/33.63 (step @p720 :rule chain_m_resolution :premises (@p719 @p717) :args (@t183 @t189 (@list @t185))) % 33.44/33.63 (step @p721 :rule instantiate :premises (@p34) :args ((@list @t161))) % 33.44/33.63 (step @p722 :rule bool-double-not-elim :args (@t418)) % 33.44/33.63 (step @p723 :rule refl :args (@t184)) % 33.44/33.63 (step @p724 :rule refl :args (@t419)) % 33.44/33.63 (step @p725 :rule nary_cong :premises (@p724 @p723 @p722) :args ((or @t419 @t184 (not @t420)))) % 33.44/33.63 (assume-push @p801 @t420) % 33.44/33.63 (assume-push @p802 @t183) % 33.44/33.63 (assume-push @p803 @t119) % 33.44/33.63 (step @p729 :rule evaluate :args ((= true false))) % 33.44/33.63 (step @p730 :rule false_intro :premises (@p721)) % 33.44/33.63 (step @p731 :rule cong :premises (@p802) :args (@t119)) % 33.44/33.63 (step @p732 :rule true_intro :premises (@p35)) % 33.44/33.63 (step @p733 :rule symm :premises (@p732)) % 33.44/33.63 (step @p734 :rule trans :premises (@p733 @p731 @p730)) % 33.44/33.63 (step @p735 false :rule eq_resolve :premises (@p734 @p729)) % 33.44/33.63 (step-pop @p804 :rule scope :premises (@p735)) % 33.44/33.63 (step-pop @p805 :rule scope :premises (@p804)) % 33.44/33.63 (step-pop @p806 :rule scope :premises (@p805)) % 33.44/33.63 (step @p736 :rule process_scope :premises (@p806) :args (false)) % 33.44/33.63 (assume-push @p807 @t119) % 33.44/33.63 (assume-push @p808 @t183) % 33.44/33.63 (assume-push @p809 @t420) % 33.44/33.63 (step @p743 :rule and_intro :premises (@p721 @p808 @p35)) % 33.44/33.63 (step-pop @p810 :rule scope :premises (@p743)) % 33.44/33.63 (step-pop @p811 :rule scope :premises (@p810)) % 33.44/33.63 (step-pop @p812 :rule scope :premises (@p811)) % 33.44/33.63 (step @p744 :rule process_scope :premises (@p812) :args (@t421)) % 33.44/33.63 (step @p748 :rule implies_elim :premises (@p744)) % 33.44/33.63 (step @p749 :rule resolution :premises (@p748 @p736) :args (true @t421)) % 33.44/33.63 (step @p750 :rule not_and :premises (@p749)) % 33.44/33.63 (step @p751 :rule eq_resolve :premises (@p750 @p725)) % 33.44/33.63 (step @p752 false :rule chain_m_resolution :premises (@p751 @p721 @p720 @p35) :args (false @t416 (@list @t418 @t183 @t119))) % 33.44/33.63 ) % 33.44/33.63 % SZS output end Proof % 33.44/33.63 % cvc5 exiting %------------------------------------------------------------------------------