%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU446+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 : n026.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 08:51:50 AM UTC 2026 % Result : Theorem 34.14s 34.30s % Output : Proof 34.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU446+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:32:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.14/34.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.14/34.30 --- Run --no-e-matching --full-saturate-quant at 6... % 34.14/34.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.14/34.30 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.14/34.30 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.14/34.30 % SZS status Theorem % 34.14/34.30 % SZS output start Proof % 34.14/34.30 ( % 34.14/34.30 (declare-sort $$unsorted 0) % 34.14/34.30 (declare-const tptp.k2_funct_5 (-> $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.14/34.30 (declare-const tptp.k4_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 34.14/34.30 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.30 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.14/34.30 (declare-const tptp.k1_funct_5 (-> $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.14/34.30 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.30 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.14/34.30 (declare-const tptp.k9_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.30 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.14/34.30 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.14/34.30 (define @t1 () (@var "B" $$unsorted)) % 34.14/34.30 (define @t2 () (@var "C" $$unsorted)) % 34.14/34.30 (define @t3 () (@var "A" $$unsorted)) % 34.14/34.30 (define @t4 () (tptp.k6_relset_1 @t3 @t1 @t2)) % 34.14/34.30 (define @t5 () (= (tptp.k10_relset_1 @t3 @t1 @t2 @t3) (tptp.k10_relset_1 @t1 @t1 (tptp.k9_relset_2 @t1 @t3 @t1 @t4 @t2) @t1))) % 34.14/34.30 (define @t6 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 34.14/34.30 (define @t7 () (@list @t3 @t1 @t2)) % 34.14/34.30 (define @t8 () (forall @t7 (=> @t6 @t5))) % 34.14/34.30 (define @t9 () (not @t8)) % 34.14/34.30 (define @t10 () (tptp.r2_hidden @t3 @t1)) % 34.14/34.30 (define @t11 () (@list @t3 @t1)) % 34.14/34.30 (define @t12 () (tptp.v1_relat_1 @t3)) % 34.14/34.30 (define @t13 () (tptp.v1_xboole_0 @t3)) % 34.14/34.30 (define @t14 () (@list @t3)) % 34.14/34.30 (define @t15 () (tptp.v1_relat_1 @t2)) % 34.14/34.30 (define @t16 () (tptp.k2_zfmisc_1 @t3 @t1)) % 34.14/34.30 (define @t17 () (tptp.k1_zfmisc_1 @t16)) % 34.14/34.30 (define @t18 () (tptp.m1_subset_1 @t2 @t17)) % 34.14/34.30 (define @t19 () (forall @t7 (=> @t18 @t15))) % 34.14/34.30 (define @t20 () (tptp.k3_xboole_0 @t3 @t1)) % 34.14/34.30 (define @t21 () (tptp.k5_subset_1 @t3 @t1 @t2)) % 34.14/34.30 (define @t22 () (tptp.k1_zfmisc_1 @t3)) % 34.14/34.30 (define @t23 () (tptp.m1_subset_1 @t1 @t22)) % 34.14/34.30 (define @t24 () (and @t23 (tptp.m1_subset_1 @t2 @t22))) % 34.14/34.30 (define @t25 () (tptp.r1_tarski @t3 @t1)) % 34.14/34.30 (define @t26 () (= @t3 @t1)) % 34.14/34.30 (define @t27 () (tptp.r2_hidden @t2 @t1)) % 34.14/34.30 (define @t28 () (tptp.r2_hidden @t2 @t3)) % 34.14/34.30 (define @t29 () (@list @t2)) % 34.14/34.30 (define @t30 () (forall @t29 (=> @t28 @t27))) % 34.14/34.30 (define @t31 () (= @t25 @t30)) % 34.14/34.30 (define @t32 () (forall @t11 @t31)) % 34.14/34.30 (define @t33 () (@var "D" $$unsorted)) % 34.14/34.30 (define @t34 () (@list @t33)) % 34.14/34.30 (define @t35 () (forall @t7 (= (= @t2 @t20) (forall @t34 (= (tptp.r2_hidden @t33 @t2) (and (tptp.r2_hidden @t33 @t3) (tptp.r2_hidden @t33 @t1))))))) % 34.14/34.30 (define @t36 () (tptp.k1_zfmisc_1 @t1)) % 34.14/34.30 (define @t37 () (tptp.k10_relset_1 @t3 @t1 @t2 @t33)) % 34.14/34.30 (define @t38 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 34.14/34.30 (define @t39 () (@list @t3 @t1 @t2 @t33)) % 34.14/34.30 (define @t40 () (tptp.k4_relat_1 @t3)) % 34.14/34.30 (define @t41 () (tptp.v1_relat_1 @t40)) % 34.14/34.30 (define @t42 () (tptp.k4_relset_1 @t3 @t1 @t2)) % 34.14/34.30 (define @t43 () (tptp.m1_subset_1 @t42 @t22)) % 34.14/34.30 (define @t44 () (forall @t7 (=> @t38 @t43))) % 34.14/34.30 (define @t45 () (tptp.k5_relat_1 @t3 @t1)) % 34.14/34.30 (define @t46 () (tptp.v1_relat_1 @t45)) % 34.14/34.30 (define @t47 () (tptp.v1_relat_1 @t1)) % 34.14/34.30 (define @t48 () (and @t12 @t47)) % 34.14/34.30 (define @t49 () (tptp.m2_relset_1 @t4 @t1 @t3)) % 34.14/34.30 (define @t50 () (forall @t7 (=> @t38 @t49))) % 34.14/34.30 (define @t51 () (@var "E" $$unsorted)) % 34.14/34.30 (define @t52 () (tptp.k9_relset_2 @t3 @t1 @t2 @t33 @t51)) % 34.14/34.30 (define @t53 () (tptp.m2_relset_1 @t52 @t3 @t2)) % 34.14/34.30 (define @t54 () (tptp.m1_subset_1 @t51 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t2)))) % 34.14/34.30 (define @t55 () (tptp.m1_subset_1 @t33 @t17)) % 34.14/34.30 (define @t56 () (and @t55 @t54)) % 34.14/34.30 (define @t57 () (@list @t3 @t1 @t2 @t33 @t51)) % 34.14/34.30 (define @t58 () (forall @t57 (=> @t56 @t53))) % 34.14/34.30 (define @t59 () (forall @t7 (=> @t6 @t18))) % 34.14/34.30 (define @t60 () (@list @t1)) % 34.14/34.30 (define @t61 () (tptp.k5_relat_1 @t1 @t3)) % 34.14/34.30 (define @t62 () (and @t13 @t47)) % 34.14/34.30 (define @t63 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 34.14/34.30 (define @t64 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.14/34.30 (define @t65 () (tptp.v1_xboole_0 @t1)) % 34.14/34.30 (define @t66 () (not @t65)) % 34.14/34.30 (define @t67 () (not @t13)) % 34.14/34.30 (define @t68 () (tptp.k1_relat_1 @t3)) % 34.14/34.30 (define @t69 () (tptp.v1_xboole_0 @t68)) % 34.14/34.30 (define @t70 () (and @t67 @t12)) % 34.14/34.30 (define @t71 () (tptp.k2_relat_1 @t3)) % 34.14/34.30 (define @t72 () (tptp.v1_xboole_0 @t71)) % 34.14/34.30 (define @t73 () (tptp.k9_relat_1 @t2 @t33)) % 34.14/34.30 (define @t74 () (= @t37 @t73)) % 34.14/34.30 (define @t75 () (forall @t39 (=> @t38 @t74))) % 34.14/34.30 (define @t76 () (= @t42 (tptp.k1_relat_1 @t2))) % 34.14/34.30 (define @t77 () (forall @t7 (=> @t38 @t76))) % 34.14/34.30 (define @t78 () (= @t52 (tptp.k5_relat_1 @t33 @t51))) % 34.14/34.30 (define @t79 () (forall @t57 (=> @t56 @t78))) % 34.14/34.30 (define @t80 () (forall @t7 (= @t6 @t38))) % 34.14/34.30 (define @t81 () (tptp.k9_relat_1 @t2 @t1)) % 34.14/34.30 (define @t82 () (tptp.k9_relat_1 @t2 @t3)) % 34.14/34.30 (define @t83 () (tptp.r1_tarski (tptp.k9_relat_1 @t2 @t20) (tptp.k3_xboole_0 @t82 @t81))) % 34.14/34.30 (define @t84 () (forall @t7 (=> @t15 @t83))) % 34.14/34.30 (define @t85 () (tptp.r1_tarski @t82 @t81)) % 34.14/34.30 (define @t86 () (=> @t25 @t85)) % 34.14/34.30 (define @t87 () (forall @t7 (=> @t15 @t86))) % 34.14/34.30 (define @t88 () (tptp.k9_relat_1 @t1 @t3)) % 34.14/34.30 (define @t89 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t1 @t2) @t3) (tptp.k9_relat_1 @t2 @t88))) % 34.14/34.30 (define @t90 () (forall @t29 (=> @t15 @t89))) % 34.14/34.30 (define @t91 () (=> @t47 @t90)) % 34.14/34.30 (define @t92 () (forall @t11 @t91)) % 34.14/34.30 (define @t93 () (tptp.m1_subset_1 @t3 @t1)) % 34.14/34.30 (define @t94 () (tptp.k2_funct_5 @t3)) % 34.14/34.30 (define @t95 () (tptp.k1_funct_5 @t3)) % 34.14/34.30 (define @t96 () (and (= @t95 @t68) (= @t94 @t71))) % 34.14/34.30 (define @t97 () (=> @t12 @t96)) % 34.14/34.30 (define @t98 () (forall @t14 @t97)) % 34.14/34.30 (define @t99 () (tptp.m1_subset_1 @t3 @t36)) % 34.14/34.30 (define @t100 () (forall @t11 (= @t99 @t25))) % 34.14/34.30 (define @t101 () (tptp.k1_funct_5 @t2)) % 34.14/34.30 (define @t102 () (forall @t34 (= @t73 (tptp.k9_relat_1 @t2 (tptp.k3_xboole_0 @t33 @t101))))) % 34.14/34.30 (define @t103 () (forall @t7 (=> @t18 @t102))) % 34.14/34.30 (define @t104 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 34.14/34.30 (define @t105 () (and (= @t101 (tptp.k10_relset_1 @t3 @t1 (tptp.k6_relset_1 @t1 @t3 @t2) @t3)) (= (tptp.k2_funct_5 @t2) (tptp.k10_relset_1 @t1 @t3 @t2 @t1)))) % 34.14/34.30 (define @t106 () (tptp.m2_relset_1 @t2 @t1 @t3)) % 34.14/34.30 (define @t107 () (forall @t7 (=> @t106 @t105))) % 34.14/34.30 (define @t108 () (forall @t7 (or (not @t6) @t5))) % 34.14/34.30 (define @t109 () (@quantifiers_skolemize @t108 1)) % 34.14/34.30 (define @t110 () (@quantifiers_skolemize @t108 2)) % 34.14/34.30 (define @t111 () (@quantifiers_skolemize @t108 0)) % 34.14/34.30 (define @t112 () (tptp.k6_relset_1 @t111 @t109 @t110)) % 34.14/34.30 (define @t113 () (tptp.k9_relset_2 @t109 @t111 @t109 @t112 @t110)) % 34.14/34.30 (define @t114 () (tptp.k10_relset_1 @t109 @t109 @t113 @t109)) % 34.14/34.30 (define @t115 () (tptp.k10_relset_1 @t111 @t109 @t110 @t111)) % 34.14/34.30 (define @t116 () (tptp.k3_xboole_0 @t115 @t114)) % 34.14/34.30 (define @t117 () (forall @t34 (= (tptp.r2_hidden @t33 @t116) (and (tptp.r2_hidden @t33 @t115) (tptp.r2_hidden @t33 @t114))))) % 34.14/34.30 (define @t118 () (= (= @t116 @t116) @t117)) % 34.14/34.30 (define @t119 () (@list false)) % 34.14/34.30 (define @t120 () (tptp.k9_relat_1 @t112 @t109)) % 34.14/34.30 (define @t121 () (tptp.k3_xboole_0 @t111 @t120)) % 34.14/34.30 (define @t122 () (tptp.k9_relat_1 @t110 @t121)) % 34.14/34.30 (define @t123 () (tptp.k9_relat_1 @t110 @t120)) % 34.14/34.30 (define @t124 () (tptp.k9_relat_1 @t110 @t111)) % 34.14/34.30 (define @t125 () (tptp.k3_xboole_0 @t124 @t123)) % 34.14/34.30 (define @t126 () (forall @t29 (or (not (tptp.r2_hidden @t2 @t125)) (tptp.r2_hidden @t2 @t122)))) % 34.14/34.30 (define @t127 () (@quantifiers_skolemize @t126 0)) % 34.14/34.30 (define @t128 () (forall @t29 (or (not (tptp.r2_hidden @t2 @t124)) (tptp.r2_hidden @t2 @t123)))) % 34.14/34.30 (define @t129 () (@quantifiers_skolemize @t128 0)) % 34.14/34.30 (define @t130 () (@list @t124 @t123)) % 34.14/34.30 (define @t131 () (= @t115 @t114)) % 34.14/34.30 (define @t132 () (tptp.m2_relset_1 @t110 @t111 @t109)) % 34.14/34.30 (define @t133 () (not @t132)) % 34.14/34.30 (define @t134 () (or @t133 @t131)) % 34.14/34.30 (define @t135 () (@list true)) % 34.14/34.30 (define @t136 () (@list @t134)) % 34.14/34.30 (define @t137 () (tptp.m2_relset_1 @t113 @t109 @t109)) % 34.14/34.30 (define @t138 () (tptp.m1_relset_1 @t113 @t109 @t109)) % 34.14/34.30 (define @t139 () (= @t137 @t138)) % 34.14/34.30 (define @t140 () (= @t138 @t137)) % 34.14/34.30 (define @t141 () (not @t54)) % 34.14/34.30 (define @t142 () (not @t55)) % 34.14/34.30 (define @t143 () (or @t142 @t141)) % 34.14/34.30 (define @t144 () (not @t56)) % 34.14/34.30 (define @t145 () (@list @t109 @t111 @t109 @t112 @t110)) % 34.14/34.30 (define @t146 () (@list @t111 @t109 @t110)) % 34.14/34.30 (define @t147 () (tptp.m1_subset_1 @t110 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t111 @t109)))) % 34.14/34.30 (define @t148 () (or @t133 @t147)) % 34.14/34.30 (define @t149 () (@list false false)) % 34.14/34.30 (define @t150 () (@list @t109 @t111 @t112)) % 34.14/34.30 (define @t151 () (tptp.m1_relset_1 @t110 @t111 @t109)) % 34.14/34.30 (define @t152 () (= @t132 @t151)) % 34.14/34.30 (define @t153 () (tptp.m2_relset_1 @t112 @t109 @t111)) % 34.14/34.30 (define @t154 () (not @t151)) % 34.14/34.30 (define @t155 () (or @t154 @t153)) % 34.14/34.30 (define @t156 () (tptp.m1_subset_1 @t112 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t109 @t111)))) % 34.14/34.30 (define @t157 () (not @t153)) % 34.14/34.30 (define @t158 () (or @t157 @t156)) % 34.14/34.30 (define @t159 () (not @t147)) % 34.14/34.30 (define @t160 () (not @t156)) % 34.14/34.30 (define @t161 () (or @t160 @t159 @t137)) % 34.14/34.30 (define @t162 () (@list false false false)) % 34.14/34.30 (define @t163 () (tptp.k9_relat_1 @t113 @t109)) % 34.14/34.30 (define @t164 () (= @t114 @t163)) % 34.14/34.30 (define @t165 () (not @t138)) % 34.14/34.30 (define @t166 () (or @t165 @t164)) % 34.14/34.30 (define @t167 () (tptp.k5_relat_1 @t112 @t110)) % 34.14/34.30 (define @t168 () (= @t113 @t167)) % 34.14/34.30 (define @t169 () (or @t160 @t159 @t168)) % 34.14/34.30 (define @t170 () (tptp.k9_relat_1 @t167 @t109)) % 34.14/34.30 (define @t171 () (@var "BOUND_VARIABLE_7943" $$unsorted)) % 34.14/34.30 (define @t172 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t1 @t171) @t3) (tptp.k9_relat_1 @t171 @t88))) % 34.14/34.30 (define @t173 () (not (tptp.v1_relat_1 @t171))) % 34.14/34.30 (define @t174 () (not @t47)) % 34.14/34.30 (define @t175 () (or @t173 @t172)) % 34.14/34.30 (define @t176 () (or @t174 @t175)) % 34.14/34.30 (define @t177 () (forall (@list @t3 @t1 @t171) @t176)) % 34.14/34.30 (define @t178 () (@list @t171)) % 34.14/34.30 (define @t179 () (forall @t178 @t176)) % 34.14/34.30 (define @t180 () (forall @t178 @t175)) % 34.14/34.30 (define @t181 () (or @t174 @t180)) % 34.14/34.30 (define @t182 () (not @t15)) % 34.14/34.30 (define @t183 () (forall @t29 (or @t182 @t89))) % 34.14/34.30 (define @t184 () (tptp.v1_relat_1 @t112)) % 34.14/34.30 (define @t185 () (or @t160 @t184)) % 34.14/34.30 (define @t186 () (tptp.v1_relat_1 @t110)) % 34.14/34.30 (define @t187 () (or @t159 @t186)) % 34.14/34.30 (define @t188 () (= @t170 @t123)) % 34.14/34.30 (define @t189 () (not @t186)) % 34.14/34.30 (define @t190 () (not @t184)) % 34.14/34.30 (define @t191 () (or @t190 @t189 @t188)) % 34.14/34.30 (define @t192 () (@list @t111 @t109 @t110 @t111)) % 34.14/34.30 (define @t193 () (= @t115 @t124)) % 34.14/34.30 (define @t194 () (or @t154 @t193)) % 34.14/34.30 (define @t195 () (= @t124 @t123)) % 34.14/34.30 (define @t196 () (tptp.r1_tarski @t123 @t124)) % 34.14/34.30 (define @t197 () (tptp.r1_tarski @t124 @t123)) % 34.14/34.30 (define @t198 () (and @t197 @t196)) % 34.14/34.30 (define @t199 () (= @t195 @t198)) % 34.14/34.30 (define @t200 () (not @t198)) % 34.14/34.30 (define @t201 () (@list true false)) % 34.14/34.30 (define @t202 () (not @t25)) % 34.14/34.30 (define @t203 () (tptp.k4_relset_1 @t111 @t109 @t110)) % 34.14/34.30 (define @t204 () (tptp.r1_tarski @t203 @t111)) % 34.14/34.30 (define @t205 () (tptp.m1_subset_1 @t203 (tptp.k1_zfmisc_1 @t111))) % 34.14/34.30 (define @t206 () (forall @t11 (= @t25 @t99))) % 34.14/34.30 (define @t207 () (= @t204 @t205)) % 34.14/34.30 (define @t208 () (= @t205 @t204)) % 34.14/34.30 (define @t209 () (or @t154 @t205)) % 34.14/34.30 (define @t210 () (tptp.k1_relat_1 @t110)) % 34.14/34.30 (define @t211 () (= @t203 @t210)) % 34.14/34.30 (define @t212 () (or @t154 @t211)) % 34.14/34.30 (define @t213 () (and (= @t68 @t95) (= @t71 @t94))) % 34.14/34.30 (define @t214 () (tptp.k2_relat_1 @t110)) % 34.14/34.30 (define @t215 () (tptp.k2_funct_5 @t110)) % 34.14/34.30 (define @t216 () (tptp.k1_funct_5 @t110)) % 34.14/34.30 (define @t217 () (and (= @t210 @t216) (= @t214 @t215))) % 34.14/34.30 (define @t218 () (or @t189 @t217)) % 34.14/34.30 (define @t219 () (forall @t14 (or (not @t12) @t213))) % 34.14/34.30 (define @t220 () (= @t216 @t210)) % 34.14/34.30 (define @t221 () (and @t220 (= @t215 @t214))) % 34.14/34.30 (define @t222 () (or @t189 @t221)) % 34.14/34.30 (define @t223 () (tptp.k10_relset_1 @t109 @t111 @t112 @t109)) % 34.14/34.30 (define @t224 () (= @t216 @t223)) % 34.14/34.30 (define @t225 () (and @t224 (= @t215 @t115))) % 34.14/34.30 (define @t226 () (or @t133 @t225)) % 34.14/34.30 (define @t227 () (forall @t7 (or (not @t106) @t105))) % 34.14/34.30 (define @t228 () (and @t224 (= @t115 @t215))) % 34.14/34.30 (define @t229 () (or @t133 @t228)) % 34.14/34.30 (define @t230 () (tptp.m1_relset_1 @t112 @t109 @t111)) % 34.14/34.30 (define @t231 () (= @t153 @t230)) % 34.14/34.30 (define @t232 () (= @t223 @t120)) % 34.14/34.30 (define @t233 () (not @t230)) % 34.14/34.30 (define @t234 () (or @t233 @t232)) % 34.14/34.30 (define @t235 () (tptp.r1_tarski @t120 @t111)) % 34.14/34.30 (define @t236 () (not @t235)) % 34.14/34.30 (define @t237 () (or @t189 @t236 @t196)) % 34.14/34.30 (define @t238 () (not @t197)) % 34.14/34.30 (define @t239 () (@list false true)) % 34.14/34.30 (define @t240 () (= @t197 @t128)) % 34.14/34.30 (define @t241 () (not @t128)) % 34.14/34.30 (define @t242 () (tptp.r2_hidden @t129 @t123)) % 34.14/34.30 (define @t243 () (tptp.r2_hidden @t129 @t124)) % 34.14/34.30 (define @t244 () (not @t243)) % 34.14/34.30 (define @t245 () (or @t244 @t242)) % 34.14/34.30 (define @t246 () (@list @t245)) % 34.14/34.30 (define @t247 () (tptp.r2_hidden @t129 @t114)) % 34.14/34.30 (define @t248 () (and (tptp.r2_hidden @t129 @t115) @t247)) % 34.14/34.30 (define @t249 () (not @t248)) % 34.14/34.30 (define @t250 () (tptp.r2_hidden @t129 @t116)) % 34.14/34.30 (define @t251 () (= @t250 @t248)) % 34.14/34.30 (define @t252 () (not @t250)) % 34.14/34.30 (define @t253 () (@var "BOUND_VARIABLE_7987" $$unsorted)) % 34.14/34.30 (define @t254 () (= (tptp.k9_relat_1 @t2 @t253) (tptp.k9_relat_1 @t2 (tptp.k3_xboole_0 @t253 @t101)))) % 34.14/34.30 (define @t255 () (not @t18)) % 34.14/34.30 (define @t256 () (or @t255 @t254)) % 34.14/34.30 (define @t257 () (@list @t253)) % 34.14/34.30 (define @t258 () (forall @t257 @t256)) % 34.14/34.30 (define @t259 () (forall @t257 @t254)) % 34.14/34.30 (define @t260 () (or @t255 @t259)) % 34.14/34.30 (define @t261 () (tptp.k3_xboole_0 @t111 @t216)) % 34.14/34.30 (define @t262 () (tptp.k9_relat_1 @t110 @t261)) % 34.14/34.30 (define @t263 () (= @t124 @t262)) % 34.14/34.30 (define @t264 () (or @t159 @t263)) % 34.14/34.30 (define @t265 () (= @t122 @t125)) % 34.14/34.30 (define @t266 () (not @t265)) % 34.14/34.30 (define @t267 () (not @t263)) % 34.14/34.30 (define @t268 () (not @t188)) % 34.14/34.30 (define @t269 () (not @t232)) % 34.14/34.30 (define @t270 () (not @t224)) % 34.14/34.30 (define @t271 () (not @t168)) % 34.14/34.30 (define @t272 () (not @t164)) % 34.14/34.30 (define @t273 () (not @t193)) % 34.14/34.30 (define @t274 () (and @t243 @t263 @t224 @t232 @t265 @t193 @t188 @t168 @t164 @t252)) % 34.14/34.30 (define @t275 () (tptp.r1_tarski @t125 @t122)) % 34.14/34.30 (define @t276 () (tptp.r1_tarski @t122 @t125)) % 34.14/34.30 (define @t277 () (and @t276 @t275)) % 34.14/34.30 (define @t278 () (= @t265 @t277)) % 34.14/34.30 (define @t279 () (not @t277)) % 34.14/34.30 (define @t280 () (or @t189 @t276)) % 34.14/34.30 (define @t281 () (not @t275)) % 34.14/34.30 (define @t282 () (= @t275 @t126)) % 34.14/34.30 (define @t283 () (not @t126)) % 34.14/34.30 (define @t284 () (tptp.r2_hidden @t127 @t122)) % 34.14/34.30 (define @t285 () (tptp.r2_hidden @t127 @t125)) % 34.14/34.30 (define @t286 () (not @t285)) % 34.14/34.30 (define @t287 () (or @t286 @t284)) % 34.14/34.30 (define @t288 () (not @t287)) % 34.14/34.30 (define @t289 () (@list @t287)) % 34.14/34.30 (define @t290 () (tptp.r2_hidden @t127 @t116)) % 34.14/34.30 (define @t291 () (and @t193 @t164 @t168 @t188 @t285)) % 34.14/34.30 (define @t292 () (not @t284)) % 34.14/34.30 (define @t293 () (tptp.r2_hidden @t127 @t115)) % 34.14/34.30 (define @t294 () (not @t293)) % 34.14/34.30 (define @t295 () (and @t193 @t224 @t232 @t263 @t292)) % 34.14/34.30 (define @t296 () (and @t293 (tptp.r2_hidden @t127 @t114))) % 34.14/34.30 (define @t297 () (not @t296)) % 34.14/34.30 (define @t298 () (= @t290 @t296)) % 34.14/34.30 (assume @p1 @t9) % 34.14/34.30 (assume @p2 (forall @t11 (=> @t10 (not (tptp.r2_hidden @t1 @t3))))) % 34.14/34.30 (assume @p3 (forall @t14 (=> @t13 @t12))) % 34.14/34.30 (assume @p4 @t19) % 34.14/34.30 (assume @p5 (forall @t11 (= @t20 (tptp.k3_xboole_0 @t1 @t3)))) % 34.14/34.30 (assume @p6 (forall @t7 (=> @t24 (= @t21 (tptp.k5_subset_1 @t3 @t2 @t1))))) % 34.14/34.30 (assume @p7 (forall @t11 (= @t26 (and @t25 (tptp.r1_tarski @t1 @t3))))) % 34.14/34.30 (assume @p8 @t32) % 34.14/34.30 (assume @p9 @t35) % 34.14/34.30 (assume @p10 (forall @t39 (=> @t38 (tptp.m1_subset_1 @t37 @t36)))) % 34.14/34.30 (assume @p11 true) % 34.14/34.30 (assume @p12 (forall @t14 (=> @t12 @t41))) % 34.14/34.30 (assume @p13 @t44) % 34.14/34.30 (assume @p14 (forall @t11 (=> @t48 @t46))) % 34.14/34.30 (assume @p15 (forall @t7 (=> @t24 (tptp.m1_subset_1 @t21 @t22)))) % 34.14/34.30 (assume @p16 @t50) % 34.14/34.30 (assume @p17 @t58) % 34.14/34.30 (assume @p18 @t59) % 34.14/34.30 (assume @p19 (forall @t11 (exists @t29 @t38))) % 34.14/34.30 (assume @p20 (forall @t14 (exists @t60 (tptp.m1_subset_1 @t1 @t3)))) % 34.14/34.30 (assume @p21 (forall @t11 (exists @t29 @t6))) % 34.14/34.30 (assume @p22 (forall @t11 (=> @t62 (and (tptp.v1_xboole_0 @t61) (tptp.v1_relat_1 @t61))))) % 34.14/34.30 (assume @p23 (forall @t14 (=> @t13 (and (tptp.v1_xboole_0 @t40) @t41)))) % 34.14/34.30 (assume @p24 (and @t64 @t63 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 34.14/34.30 (assume @p25 (forall @t11 (=> @t48 (tptp.v1_relat_1 @t20)))) % 34.14/34.30 (assume @p26 (forall @t14 (not (tptp.v1_xboole_0 @t22)))) % 34.14/34.30 (assume @p27 (forall @t11 (tptp.v1_relat_1 @t16))) % 34.14/34.30 (assume @p28 (and @t64 @t63)) % 34.14/34.30 (assume @p29 (forall @t11 (=> (and @t67 @t66) (not (tptp.v1_xboole_0 @t16))))) % 34.14/34.30 (assume @p30 (forall @t14 (=> @t70 (not @t69)))) % 34.14/34.30 (assume @p31 (forall @t14 (=> @t70 (not @t72)))) % 34.14/34.30 (assume @p32 (forall @t14 (=> @t13 (and @t69 (tptp.v1_relat_1 @t68))))) % 34.14/34.30 (assume @p33 (forall @t14 (=> @t13 (and @t72 (tptp.v1_relat_1 @t71))))) % 34.14/34.30 (assume @p34 (forall @t11 (=> @t62 (and (tptp.v1_xboole_0 @t45) @t46)))) % 34.14/34.30 (assume @p35 (forall @t11 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 34.14/34.30 (assume @p36 (forall @t7 (=> @t24 (= (tptp.k5_subset_1 @t3 @t1 @t1) @t1)))) % 34.14/34.30 (assume @p37 (forall @t14 (=> @t12 (= (tptp.k4_relat_1 @t40) @t3)))) % 34.14/34.30 (assume @p38 (forall @t7 (=> @t38 (= (tptp.k6_relset_1 @t3 @t1 @t4) @t2)))) % 34.14/34.30 (assume @p39 (exists @t14 (and @t13 @t12))) % 34.14/34.30 (assume @p40 (forall @t14 (=> @t67 (exists @t60 (and @t23 @t66))))) % 34.14/34.30 (assume @p41 (exists @t14 @t70)) % 34.14/34.30 (assume @p42 (forall @t14 (exists @t60 (and @t23 @t65)))) % 34.14/34.30 (assume @p43 (exists @t14 (and @t12 (tptp.v3_relat_1 @t3)))) % 34.14/34.30 (assume @p44 @t75) % 34.14/34.30 (assume @p45 @t77) % 34.14/34.30 (assume @p46 (forall @t7 (=> @t24 (= @t21 (tptp.k3_xboole_0 @t1 @t2))))) % 34.14/34.30 (assume @p47 (forall @t7 (=> @t38 (= @t4 (tptp.k4_relat_1 @t2))))) % 34.14/34.30 (assume @p48 @t79) % 34.14/34.30 (assume @p49 @t80) % 34.14/34.30 (assume @p50 (forall @t11 (tptp.r1_tarski @t3 @t3))) % 34.14/34.30 (assume @p51 @t84) % 34.14/34.30 (assume @p52 @t87) % 34.14/34.30 (assume @p53 @t92) % 34.14/34.30 (assume @p54 (forall @t11 (=> @t10 @t93))) % 34.14/34.30 (assume @p55 (forall @t7 (=> (and @t25 (tptp.r1_tarski @t1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 34.14/34.30 (assume @p56 @t98) % 34.14/34.30 (assume @p57 (forall @t14 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 34.14/34.30 (assume @p58 (forall @t11 (=> @t93 (or @t65 @t10)))) % 34.14/34.30 (assume @p59 @t100) % 34.14/34.30 (assume @p60 @t103) % 34.14/34.30 (assume @p61 (forall @t7 (=> (and @t10 @t104) (tptp.m1_subset_1 @t3 @t2)))) % 34.14/34.30 (assume @p62 @t107) % 34.14/34.30 (assume @p63 (forall @t7 (not (and @t10 @t104 (tptp.v1_xboole_0 @t2))))) % 34.14/34.30 (assume @p64 (forall @t14 (=> @t13 (= @t3 tptp.k1_xboole_0)))) % 34.14/34.30 (assume @p65 (forall @t11 (not (and @t10 @t65)))) % 34.14/34.30 (assume @p66 (forall @t11 (not (and @t13 (not @t26) @t65)))) % 34.14/34.30 (step @p67 :rule bool-eq-true :args (@t117)) % 34.14/34.30 (step @p68 :rule eq-symm :args (true @t117)) % 34.14/34.30 (step @p69 :rule trans :premises (@p68 @p67)) % 34.14/34.30 (step @p70 :rule refl :args (@t117)) % 34.14/34.30 (step @p71 :rule eq-refl :args (@t116)) % 34.14/34.30 (step @p72 :rule cong :premises (@p71 @p70) :args (@t118)) % 34.14/34.30 (step @p73 :rule trans :premises (@p72 @p69)) % 34.14/34.30 (step @p74 :rule refl :args (@t35)) % 34.14/34.30 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t35 @t118))) % 34.14/34.30 (assume-push @p578 @t35) % 34.14/34.30 (step @p77 :rule instantiate :premises (@p9) :args ((@list @t115 @t114 @t116))) % 34.14/34.30 (step-pop @p579 :rule scope :premises (@p77)) % 34.14/34.30 (step @p78 :rule process_scope :premises (@p579) :args (@t118)) % 34.14/34.30 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 34.14/34.30 (step @p81 :rule implies_elim :premises (@p80)) % 34.14/34.30 (step @p82 :rule chain_m_resolution :premises (@p81 @p9) :args (@t117 @t119 (@list @t35))) % 34.14/34.30 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t127))) % 34.14/34.30 (step @p84 :rule bool-impl-elim :args (@t28 @t27)) % 34.14/34.30 (step @p85 :rule cong :premises (@p84) :args (@t30)) % 34.14/34.30 (step @p86 :rule refl :args (@t25)) % 34.14/34.30 (step @p87 :rule cong :premises (@p86 @p85) :args (@t31)) % 34.14/34.30 (step @p88 :rule cong :premises (@p87) :args (@t32)) % 34.14/34.30 (step @p89 :rule eq_resolve :premises (@p8 @p88)) % 34.14/34.30 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t125 @t122))) % 34.14/34.30 (step @p91 :rule instantiate :premises (@p7) :args ((@list @t122 @t125))) % 34.14/34.30 (step @p92 :rule instantiate :premises (@p82) :args ((@list @t129))) % 34.14/34.30 (step @p93 :rule instantiate :premises (@p89) :args (@t130)) % 34.14/34.30 (step @p94 :rule instantiate :premises (@p7) :args (@t130)) % 34.14/34.30 (step @p95 :rule bool-impl-elim :args (@t6 @t5)) % 34.14/34.30 (step @p96 :rule cong :premises (@p95) :args (@t8)) % 34.14/34.30 (step @p97 :rule cong :premises (@p96) :args (@t9)) % 34.14/34.30 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 34.14/34.30 (step @p99 :rule skolemize :premises (@p98)) % 34.14/34.30 (step @p100 :rule cnf_or_neg :args (@t134 1)) % 34.14/34.30 (step @p101 :rule chain_m_resolution :premises (@p100 @p99) :args ((not @t131) @t135 @t136)) % 34.14/34.30 (step @p102 :rule false_intro :premises (@p101)) % 34.14/34.30 (step @p103 :rule bool-impl-elim :args (@t38 @t74)) % 34.14/34.30 (step @p104 :rule cong :premises (@p103) :args (@t75)) % 34.14/34.30 (step @p105 :rule eq_resolve :premises (@p44 @p104)) % 34.14/34.30 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t109 @t109 @t113 @t109))) % 34.14/34.30 (step @p107 :rule eq-symm :args (@t137 @t138)) % 34.14/34.30 (step @p108 :rule refl :args (@t80)) % 34.14/34.30 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t80 @t139))) % 34.14/34.30 (assume-push @p580 @t80) % 34.14/34.30 (step @p111 :rule instantiate :premises (@p49) :args ((@list @t109 @t109 @t113))) % 34.14/34.30 (step-pop @p581 :rule scope :premises (@p111)) % 34.14/34.30 (step @p112 :rule process_scope :premises (@p581) :args (@t139)) % 34.14/34.30 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 34.14/34.30 (step @p115 :rule implies_elim :premises (@p114)) % 34.14/34.30 (step @p116 :rule chain_m_resolution :premises (@p115 @p49) :args (@t140 @t119 (@list @t80))) % 34.14/34.30 (step @p117 :rule aci_norm :args ((= (or @t143 @t53) (or @t142 @t141 @t53)))) % 34.14/34.30 (step @p118 :rule refl :args (@t53)) % 34.14/34.30 (step @p119 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 34.14/34.30 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t144 @t53))) % 34.14/34.30 (step @p121 :rule trans :premises (@p120 @p117)) % 34.14/34.30 (step @p122 :rule bool-impl-elim :args (@t56 @t53)) % 34.14/34.30 (step @p123 :rule trans :premises (@p122 @p121)) % 34.14/34.30 (step @p124 :rule cong :premises (@p123) :args (@t58)) % 34.14/34.30 (step @p125 :rule eq_resolve :premises (@p17 @p124)) % 34.14/34.30 (step @p126 :rule instantiate :premises (@p125) :args (@t145)) % 34.14/34.30 (step @p127 :rule bool-impl-elim :args (@t6 @t18)) % 34.14/34.30 (step @p128 :rule cong :premises (@p127) :args (@t59)) % 34.14/34.30 (step @p129 :rule eq_resolve :premises (@p18 @p128)) % 34.14/34.30 (step @p130 :rule instantiate :premises (@p129) :args (@t146)) % 34.14/34.30 (step @p131 :rule bool-double-not-elim :args (@t132)) % 34.14/34.30 (step @p132 :rule refl :args (@t134)) % 34.14/34.30 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t134 (not @t133)))) % 34.14/34.30 (step @p134 :rule cnf_or_neg :args (@t134 0)) % 34.14/34.30 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 34.14/34.30 (step @p136 :rule reordering :premises (@p135) :args ((or @t132 @t134))) % 34.14/34.30 (step @p137 :rule chain_m_resolution :premises (@p136 @p99) :args (@t132 @t135 @t136)) % 34.14/34.30 (step @p138 :rule cnf_or_pos :args (@t148)) % 34.14/34.30 (step @p139 :rule reordering :premises (@p138) :args ((or @t133 @t147 (not @t148)))) % 34.14/34.30 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p130) :args (@t147 @t149 (@list @t132 @t148))) % 34.14/34.30 (step @p141 :rule instantiate :premises (@p129) :args (@t150)) % 34.14/34.30 (step @p142 :rule bool-impl-elim :args (@t38 @t49)) % 34.14/34.30 (step @p143 :rule cong :premises (@p142) :args (@t50)) % 34.14/34.30 (step @p144 :rule eq_resolve :premises (@p16 @p143)) % 34.14/34.30 (step @p145 :rule instantiate :premises (@p144) :args (@t146)) % 34.14/34.30 (step @p146 :rule instantiate :premises (@p49) :args (@t146)) % 34.14/34.30 (step @p147 :rule cnf_equiv_pos1 :args (@t152)) % 34.14/34.30 (step @p148 :rule reordering :premises (@p147) :args ((or @t133 @t151 (not @t152)))) % 34.14/34.30 (step @p149 :rule chain_m_resolution :premises (@p148 @p137 @p146) :args (@t151 @t149 (@list @t132 @t152))) % 34.14/34.30 (step @p150 :rule cnf_or_pos :args (@t155)) % 34.14/34.30 (step @p151 :rule reordering :premises (@p150) :args ((or @t154 @t153 (not @t155)))) % 34.14/34.30 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p145) :args (@t153 @t149 (@list @t151 @t155))) % 34.14/34.30 (step @p153 :rule cnf_or_pos :args (@t158)) % 34.14/34.30 (step @p154 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(@p163 @p161 @p106) :args (@t164 @t149 (@list @t138 @t166))) % 34.14/34.30 (step @p165 :rule symm :premises (@p164)) % 34.14/34.30 (step @p166 :rule refl :args (@t109)) % 34.14/34.30 (step @p167 :rule aci_norm :args ((= (or @t143 @t78) (or @t142 @t141 @t78)))) % 34.14/34.30 (step @p168 :rule refl :args (@t78)) % 34.14/34.30 (step @p169 :rule nary_cong :premises (@p119 @p168) :args ((or @t144 @t78))) % 34.14/34.30 (step @p170 :rule trans :premises (@p169 @p167)) % 34.14/34.30 (step @p171 :rule bool-impl-elim :args (@t56 @t78)) % 34.14/34.30 (step @p172 :rule trans :premises (@p171 @p170)) % 34.14/34.30 (step @p173 :rule cong :premises (@p172) :args (@t79)) % 34.14/34.30 (step @p174 :rule eq_resolve :premises (@p48 @p173)) % 34.14/34.30 (step @p175 :rule instantiate :premises (@p174) :args (@t145)) % 34.14/34.30 (step @p176 :rule cnf_or_pos :args (@t169)) % 34.14/34.30 (step @p177 :rule reordering :premises (@p176) :args ((or @t160 @t159 @t168 (not @t169)))) % 34.14/34.30 (step @p178 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34.14/34.30 (step @p191 :rule trans :premises (@p190 @p183)) % 34.14/34.30 (step @p192 :rule trans :premises (@p191 @p182)) % 34.14/34.30 (step @p193 :rule bool-impl-elim :args (@t47 @t183)) % 34.14/34.30 (step @p194 :rule cong :premises (@p193) :args ((forall @t11 (=> @t47 @t183)))) % 34.14/34.30 (step @p195 :rule trans :premises (@p194 @p192)) % 34.14/34.30 (step @p196 :rule bool-impl-elim :args (@t15 @t89)) % 34.14/34.30 (step @p197 :rule cong :premises (@p196) :args (@t90)) % 34.14/34.30 (step @p198 :rule refl :args (@t47)) % 34.14/34.30 (step @p199 :rule cong :premises (@p198 @p197) :args (@t91)) % 34.14/34.30 (step @p200 :rule cong :premises (@p199) :args (@t92)) % 34.14/34.30 (step @p201 :rule trans :premises (@p200 @p195)) % 34.14/34.30 (step @p202 :rule eq_resolve :premises (@p53 @p201)) % 34.14/34.30 (step @p203 :rule instantiate :premises (@p202) :args ((@list @t109 @t112 @t110))) % 34.14/34.30 (step @p204 :rule bool-impl-elim :args (@t18 @t15)) % 34.14/34.30 (step @p205 :rule cong :premises (@p204) :args (@t19)) % 34.14/34.30 (step @p206 :rule eq_resolve :premises (@p4 @p205)) % 34.14/34.30 (step @p207 :rule instantiate :premises (@p206) :args (@t150)) % 34.14/34.30 (step @p208 :rule cnf_or_pos :args (@t185)) % 34.14/34.30 (step @p209 :rule reordering :premises (@p208) :args ((or @t160 @t184 (not @t185)))) % 34.14/34.30 (step @p210 :rule chain_m_resolution :premises (@p209 @p155 @p207) :args (@t184 @t149 (@list @t156 @t185))) % 34.14/34.30 (step @p211 :rule instantiate :premises (@p206) :args (@t146)) % 34.14/34.30 (step @p212 :rule cnf_or_pos :args (@t187)) % 34.14/34.30 (step @p213 :rule reordering :premises (@p212) :args ((or @t159 @t186 (not @t187)))) % 34.14/34.30 (step @p214 :rule chain_m_resolution :premises (@p213 @p140 @p211) :args (@t186 @t149 (@list @t147 @t187))) % 34.14/34.30 (step @p215 :rule cnf_or_pos :args (@t191)) % 34.14/34.30 (step @p216 :rule reordering :premises (@p215) :args ((or @t189 @t190 @t188 (not @t191)))) % 34.14/34.30 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p210 @p203) :args (@t188 @t162 (@list @t186 @t184 @t191))) % 34.14/34.30 (step @p218 :rule symm :premises (@p217)) % 34.14/34.30 (step @p219 :rule trans :premises (@p218 @p180 @p165)) % 34.14/34.30 (step @p220 :rule instantiate :premises (@p105) :args (@t192)) % 34.14/34.30 (step @p221 :rule cnf_or_pos :args (@t194)) % 34.14/34.30 (step @p222 :rule reordering :premises (@p221) :args ((or @t154 @t193 (not @t194)))) % 34.14/34.30 (step @p223 :rule chain_m_resolution :premises (@p222 @p149 @p220) :args (@t193 @t149 (@list @t151 @t194))) % 34.14/34.30 (step @p224 :rule symm :premises (@p223)) % 34.14/34.30 (step @p225 :rule cong :premises (@p224 @p219) :args (@t195)) % 34.14/34.30 (step @p226 :rule trans :premises (@p225 @p102)) % 34.14/34.30 (step @p227 :rule false_elim :premises (@p226)) % 34.14/34.30 (step @p228 :rule cnf_equiv_pos2 :args (@t199)) % 34.14/34.30 (step @p229 :rule reordering :premises (@p228) :args ((or @t195 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(@t100)) % 34.14/34.30 (step @p243 :rule eq_resolve :premises (@p59 @p242)) % 34.14/34.30 (step @p244 :rule eq-symm :args (@t204 @t205)) % 34.14/34.30 (step @p245 :rule refl :args (@t206)) % 34.14/34.30 (step @p246 :rule cong :premises (@p245 @p244) :args ((=> @t206 @t207))) % 34.14/34.30 (assume-push @p582 @t206) % 34.14/34.30 (step @p248 :rule instantiate :premises (@p243) :args ((@list @t203 @t111))) % 34.14/34.30 (step-pop @p583 :rule scope :premises (@p248)) % 34.14/34.30 (step @p249 :rule process_scope :premises (@p583) :args (@t207)) % 34.14/34.30 (step @p251 :rule eq_resolve :premises (@p249 @p246)) % 34.14/34.30 (step @p252 :rule implies_elim :premises (@p251)) % 34.14/34.30 (step @p253 :rule chain_m_resolution :premises (@p252 @p243) :args (@t208 @t119 (@list @t206))) % 34.14/34.30 (step @p254 :rule bool-impl-elim :args (@t38 @t43)) % 34.14/34.30 (step @p255 :rule cong :premises (@p254) :args (@t44)) % 34.14/34.30 (step @p256 :rule eq_resolve :premises (@p13 @p255)) % 34.14/34.30 (step @p257 :rule instantiate :premises (@p256) :args (@t146)) % 34.14/34.30 (step @p258 :rule cnf_or_pos :args (@t209)) % 34.14/34.30 (step @p259 :rule reordering :premises (@p258) :args ((or @t154 @t205 (not @t209)))) % 34.14/34.30 (step @p260 :rule chain_m_resolution :premises (@p259 @p149 @p257) :args (@t205 @t149 (@list @t151 @t209))) % 34.14/34.30 (step @p261 :rule cnf_equiv_pos1 :args (@t208)) % 34.14/34.30 (step @p262 :rule reordering :premises (@p261) :args ((or (not @t205) @t204 (not @t208)))) % 34.14/34.30 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p253) :args (@t204 @t149 (@list @t205 @t208))) % 34.14/34.30 (step @p264 :rule true_intro :premises (@p263)) % 34.14/34.30 (step @p265 :rule refl :args (@t111)) % 34.14/34.30 (step @p266 :rule bool-impl-elim :args (@t38 @t76)) % 34.14/34.30 (step @p267 :rule cong :premises (@p266) :args (@t77)) % 34.14/34.30 (step @p268 :rule eq_resolve :premises (@p45 @p267)) % 34.14/34.30 (step @p269 :rule instantiate :premises (@p268) :args (@t146)) % 34.14/34.30 (step @p270 :rule cnf_or_pos :args (@t212)) % 34.14/34.30 (step @p271 :rule reordering :premises (@p270) :args ((or @t154 @t211 (not @t212)))) % 34.14/34.30 (step @p272 :rule chain_m_resolution :premises (@p271 @p149 @p269) :args (@t211 @t149 (@list @t151 @t212))) % 34.14/34.30 (step @p273 :rule symm :premises (@p272)) % 34.14/34.30 (step @p274 :rule bool-impl-elim :args (@t12 @t213)) % 34.14/34.30 (step @p275 :rule cong :premises (@p274) :args ((forall @t14 (=> @t12 @t213)))) % 34.14/34.30 (step @p276 :rule eq-symm :args (@t94 @t71)) % 34.14/34.30 (step @p277 :rule eq-symm :args (@t95 @t68)) % 34.14/34.30 (step @p278 :rule nary_cong :premises (@p277 @p276) :args (@t96)) % 34.14/34.30 (step @p279 :rule refl :args (@t12)) % 34.14/34.30 (step @p280 :rule cong :premises (@p279 @p278) :args (@t97)) % 34.14/34.30 (step @p281 :rule cong :premises (@p280) :args (@t98)) % 34.14/34.30 (step @p282 :rule trans :premises (@p281 @p275)) % 34.14/34.30 (step @p283 :rule eq_resolve :premises (@p56 @p282)) % 34.14/34.31 (step @p284 :rule eq-symm :args (@t214 @t215)) % 34.14/34.31 (step @p285 :rule eq-symm :args (@t210 @t216)) % 34.14/34.31 (step @p286 :rule nary_cong :premises (@p285 @p284) :args (@t217)) % 34.14/34.31 (step @p287 :rule refl :args (@t189)) % 34.14/34.31 (step @p288 :rule nary_cong :premises (@p287 @p286) :args (@t218)) % 34.14/34.31 (step @p289 :rule refl :args (@t219)) % 34.14/34.31 (step @p290 :rule cong :premises (@p289 @p288) :args ((=> @t219 @t218))) % 34.14/34.31 (assume-push @p584 @t219) % 34.14/34.31 (step @p292 :rule instantiate :premises (@p283) :args ((@list @t110))) % 34.14/34.31 (step-pop @p585 :rule scope :premises (@p292)) % 34.14/34.31 (step @p293 :rule process_scope :premises (@p585) :args (@t218)) % 34.14/34.31 (step @p295 :rule eq_resolve :premises (@p293 @p290)) % 34.14/34.31 (step @p296 :rule implies_elim :premises (@p295)) % 34.14/34.31 (step @p297 :rule chain_m_resolution :premises (@p296 @p283) :args (@t222 @t119 (@list @t219))) % 34.14/34.31 (step @p298 :rule cnf_or_pos :args (@t222)) % 34.14/34.31 (step @p299 :rule reordering :premises (@p298) :args ((or @t189 @t221 (not @t222)))) % 34.14/34.31 (step @p300 :rule chain_m_resolution :premises (@p299 @p214 @p297) :args (@t221 @t149 (@list @t186 @t222))) % 34.14/34.31 (step @p301 :rule cnf_and_pos :args (@t221 0)) % 34.14/34.31 (step @p302 :rule reordering :premises (@p301) :args ((or @t220 (not @t221)))) % 34.14/34.31 (step @p303 :rule chain_m_resolution :premises (@p302 @p300) :args (@t220 @t119 (@list @t221))) % 34.14/34.31 (step @p304 :rule bool-impl-elim :args (@t106 @t105)) % 34.14/34.31 (step @p305 :rule cong :premises (@p304) :args (@t107)) % 34.14/34.31 (step @p306 :rule eq_resolve :premises (@p62 @p305)) % 34.14/34.31 (step @p307 :rule eq-symm :args (@t215 @t115)) % 34.14/34.31 (step @p308 :rule refl :args (@t224)) % 34.14/34.31 (step @p309 :rule nary_cong :premises (@p308 @p307) :args (@t225)) % 34.14/34.31 (step @p310 :rule refl :args (@t133)) % 34.14/34.31 (step @p311 :rule nary_cong :premises (@p310 @p309) :args (@t226)) % 34.14/34.31 (step @p312 :rule refl :args (@t227)) % 34.14/34.31 (step @p313 :rule cong :premises (@p312 @p311) :args ((=> @t227 @t226))) % 34.14/34.31 (assume-push @p586 @t227) % 34.14/34.31 (step @p315 :rule instantiate :premises (@p306) :args ((@list @t109 @t111 @t110))) % 34.14/34.31 (step-pop @p587 :rule scope :premises (@p315)) % 34.14/34.31 (step @p316 :rule process_scope :premises (@p587) :args (@t226)) % 34.14/34.31 (step @p318 :rule eq_resolve :premises (@p316 @p313)) % 34.14/34.31 (step @p319 :rule implies_elim :premises (@p318)) % 34.14/34.31 (step @p320 :rule chain_m_resolution :premises (@p319 @p306) :args (@t229 @t119 (@list @t227))) % 34.14/34.31 (step @p321 :rule cnf_or_pos :args (@t229)) % 34.14/34.31 (step @p322 :rule reordering :premises (@p321) :args ((or @t133 @t228 (not @t229)))) % 34.14/34.31 (step @p323 :rule chain_m_resolution :premises (@p322 @p137 @p320) :args (@t228 @t149 (@list @t132 @t229))) % 34.14/34.31 (step @p324 :rule cnf_and_pos :args (@t228 0)) % 34.14/34.31 (step @p325 :rule reordering :premises (@p324) :args ((or @t224 (not @t228)))) % 34.14/34.31 (step @p326 :rule chain_m_resolution :premises (@p325 @p323) :args (@t224 @t119 (@list @t228))) % 34.14/34.31 (step @p327 :rule symm :premises (@p326)) % 34.14/34.31 (step @p328 :rule instantiate :premises (@p105) :args ((@list @t109 @t111 @t112 @t109))) % 34.14/34.31 (step @p329 :rule instantiate :premises (@p49) :args (@t150)) % 34.14/34.31 (step @p330 :rule cnf_equiv_pos1 :args (@t231)) % 34.14/34.31 (step @p331 :rule reordering :premises (@p330) :args ((or @t157 @t230 (not @t231)))) % 34.14/34.31 (step @p332 :rule chain_m_resolution :premises (@p331 @p152 @p329) :args (@t230 @t149 (@list @t153 @t231))) % 34.14/34.31 (step @p333 :rule cnf_or_pos :args (@t234)) % 34.14/34.31 (step @p334 :rule reordering :premises (@p333) :args ((or @t233 @t232 (not @t234)))) % 34.14/34.31 (step @p335 :rule chain_m_resolution :premises (@p334 @p332 @p328) :args (@t232 @t149 (@list @t230 @t234))) % 34.14/34.31 (step @p336 :rule symm :premises (@p335)) % 34.14/34.31 (step @p337 :rule trans :premises (@p336 @p327 @p303 @p273)) % 34.14/34.31 (step @p338 :rule cong :premises (@p337 @p265) :args (@t235)) % 34.14/34.31 (step @p339 :rule trans :premises (@p338 @p264)) % 34.14/34.31 (step @p340 :rule true_elim :premises (@p339)) % 34.14/34.31 (step @p341 :rule cnf_or_pos :args (@t237)) % 34.14/34.31 (step @p342 :rule reordering :premises (@p341) :args ((or @t189 @t236 @t196 (not @t237)))) % 34.14/34.31 (step @p343 :rule chain_m_resolution :premises (@p342 @p214 @p340 @p240) :args (@t196 @t162 (@list @t186 @t235 @t237))) % 34.14/34.31 (step @p344 :rule cnf_and_neg :args (@t198)) % 34.14/34.31 (step @p345 :rule reordering :premises (@p344) :args ((or @t238 (not @t196) @t198))) % 34.14/34.31 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p230) :args (@t238 @t239 (@list @t196 @t198))) % 34.14/34.31 (step @p347 :rule cnf_equiv_pos2 :args (@t240)) % 34.14/34.31 (step @p348 :rule reordering :premises (@p347) :args ((or @t197 @t241 (not @t240)))) % 34.14/34.31 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p93) :args (@t241 @t201 (@list @t197 @t240))) % 34.14/34.31 (step @p350 :rule skolemize :premises (@p349)) % 34.14/34.31 (step @p351 :rule cnf_or_neg :args (@t245 1)) % 34.14/34.31 (step @p352 :rule chain_m_resolution :premises (@p351 @p350) :args ((not @t242) @t135 @t246)) % 34.14/34.31 (step @p353 :rule false_intro :premises (@p352)) % 34.14/34.31 (step @p354 :rule cong :premises (@p178 @p166) :args (@t163)) % 34.14/34.31 (step @p355 :rule trans :premises (@p164 @p354 @p217)) % 34.14/34.31 (step @p356 :rule refl :args (@t129)) % 34.14/34.31 (step @p357 :rule cong :premises (@p356 @p355) :args (@t247)) % 34.14/34.31 (step @p358 :rule trans :premises (@p357 @p353)) % 34.14/34.31 (step @p359 :rule false_elim :premises (@p358)) % 34.14/34.31 (step @p360 :rule cnf_and_pos :args (@t248 1)) % 34.14/34.31 (step @p361 :rule reordering :premises (@p360) :args ((or @t247 @t249))) % 34.14/34.31 (step @p362 :rule chain_m_resolution :premises (@p361 @p359) :args (@t249 @t135 (@list @t247))) % 34.14/34.31 (step @p363 :rule cnf_equiv_pos1 :args (@t251)) % 34.14/34.31 (step @p364 :rule reordering :premises (@p363) :args ((or @t248 @t252 (not @t251)))) % 34.14/34.31 (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p92) :args (@t252 @t201 (@list @t248 @t251))) % 34.14/34.31 (step @p366 :rule quant-merge-prenex :args ((= (forall @t7 @t258) (forall (@list @t3 @t1 @t2 @t253) @t256)))) % 34.14/34.31 (step @p367 :rule alpha_equiv :args (@t259 (@list @t253) (@list @t33))) % 34.14/34.31 (step @p368 :rule refl :args (@t255)) % 34.14/34.31 (step @p369 :rule nary_cong :premises (@p368 @p367) :args (@t260)) % 34.14/34.31 (step @p370 :rule quant-miniscope-or :args ((= @t258 @t260))) % 34.14/34.31 (step @p371 :rule trans :premises (@p370 @p369)) % 34.14/34.31 (step @p372 :rule symm :premises (@p371)) % 34.14/34.31 (step @p373 :rule cong :premises (@p372) :args ((forall @t7 (or @t255 @t102)))) % 34.14/34.31 (step @p374 :rule trans :premises (@p373 @p366)) % 34.14/34.31 (step @p375 :rule bool-impl-elim :args (@t18 @t102)) % 34.14/34.31 (step @p376 :rule cong :premises (@p375) :args (@t103)) % 34.14/34.31 (step @p377 :rule trans :premises (@p376 @p374)) % 34.14/34.31 (step @p378 :rule eq_resolve :premises (@p60 @p377)) % 34.14/34.31 (step @p379 :rule instantiate :premises (@p378) :args (@t192)) % 34.14/34.31 (step @p380 :rule cnf_or_pos :args (@t264)) % 34.14/34.31 (step @p381 :rule reordering :premises (@p380) :args ((or @t159 @t263 (not @t264)))) % 34.14/34.31 (step @p382 :rule chain_m_resolution :premises (@p381 @p140 @p379) :args (@t263 @t149 (@list @t147 @t264))) % 34.14/34.31 (step @p383 :rule bool-double-not-elim :args (@t243)) % 34.14/34.31 (step @p384 :rule refl :args (@t245)) % 34.14/34.31 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or @t245 (not @t244)))) % 34.14/34.31 (step @p386 :rule cnf_or_neg :args (@t245 0)) % 34.14/34.31 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 34.14/34.31 (step @p388 :rule reordering :premises (@p387) :args ((or @t243 @t245))) % 34.14/34.31 (step @p389 :rule chain_m_resolution :premises (@p388 @p350) :args (@t243 @t135 @t246)) % 34.14/34.31 (step @p390 :rule bool-double-not-elim :args (@t250)) % 34.14/34.31 (step @p391 :rule refl :args (@t266)) % 34.14/34.31 (step @p392 :rule refl :args (@t267)) % 34.14/34.31 (step @p393 :rule refl :args (@t244)) % 34.14/34.31 (step @p394 :rule refl :args (@t268)) % 34.14/34.31 (step @p395 :rule refl :args (@t269)) % 34.14/34.31 (step @p396 :rule refl :args (@t270)) % 34.14/34.31 (step @p397 :rule refl :args (@t271)) % 34.14/34.31 (step @p398 :rule refl :args (@t272)) % 34.14/34.31 (step @p399 :rule refl :args (@t273)) % 34.14/34.31 (step @p400 :rule nary_cong :premises (@p399 @p398 @p397 @p396 @p395 @p394 @p393 @p392 @p391 @p390) :args ((or @t273 @t272 @t271 @t270 @t269 @t268 @t244 @t267 @t266 (not @t252)))) % 34.14/34.31 (assume-push @p588 @t243) % 34.14/34.31 (assume-push @p589 @t263) % 34.14/34.31 (assume-push @p590 @t224) % 34.14/34.31 (assume-push @p591 @t232) % 34.14/34.31 (assume-push @p592 @t265) % 34.14/34.31 (assume-push @p593 @t193) % 34.14/34.31 (assume-push @p594 @t188) % 34.14/34.31 (assume-push @p595 @t168) % 34.14/34.31 (assume-push @p596 @t164) % 34.14/34.31 (assume-push @p597 @t252) % 34.14/34.31 (step @p411 :rule evaluate :args ((= false true))) % 34.14/34.31 (step @p412 :rule true_intro :premises (@p389)) % 34.14/34.31 (step @p413 :rule symm :premises (@p382)) % 34.14/34.31 (step @p414 :rule trans :premises (@p336 @p327)) % 34.14/34.31 (step @p415 :rule cong :premises (@p265 @p414) :args (@t121)) % 34.14/34.31 (step @p416 :rule refl :args (@t110)) % 34.14/34.31 (step @p417 :rule cong :premises (@p416 @p415) :args (@t122)) % 34.14/34.31 (step @p418 :rule symm :premises (@p592)) % 34.14/34.31 (step @p419 :rule cong :premises (@p223 @p355) :args (@t116)) % 34.14/34.31 (step @p420 :rule trans :premises (@p419 @p418 @p417 @p413)) % 34.14/34.31 (step @p421 :rule cong :premises (@p356 @p420) :args (@t250)) % 34.14/34.31 (step @p422 :rule false_intro :premises (@p365)) % 34.14/34.31 (step @p423 :rule symm :premises (@p422)) % 34.14/34.31 (step @p424 :rule trans :premises (@p423 @p421 @p412)) % 34.14/34.31 (step @p425 false :rule eq_resolve :premises (@p424 @p411)) % 34.14/34.31 (step-pop @p598 :rule scope :premises (@p425)) % 34.14/34.31 (step-pop @p599 :rule scope :premises (@p598)) % 34.14/34.31 (step-pop @p600 :rule scope :premises (@p599)) % 34.14/34.31 (step-pop @p601 :rule scope :premises (@p600)) % 34.14/34.31 (step-pop @p602 :rule scope :premises (@p601)) % 34.14/34.31 (step-pop @p603 :rule scope :premises (@p602)) % 34.14/34.31 (step-pop @p604 :rule scope :premises (@p603)) % 34.14/34.31 (step-pop @p605 :rule scope :premises (@p604)) % 34.14/34.31 (step-pop @p606 :rule scope :premises (@p605)) % 34.14/34.31 (step-pop @p607 :rule scope :premises (@p606)) % 34.14/34.31 (step @p426 :rule process_scope :premises (@p607) :args (false)) % 34.14/34.31 (assume-push @p608 @t193) % 34.14/34.31 (assume-push @p609 @t164) % 34.14/34.31 (assume-push @p610 @t168) % 34.14/34.31 (assume-push @p611 @t224) % 34.14/34.31 (assume-push @p612 @t232) % 34.14/34.31 (assume-push @p613 @t188) % 34.14/34.31 (assume-push @p614 @t243) % 34.14/34.31 (assume-push @p615 @t263) % 34.14/34.31 (assume-push @p616 @t265) % 34.14/34.31 (assume-push @p617 @t252) % 34.14/34.31 (step @p447 :rule and_intro :premises (@p389 @p382 @p326 @p335 @p616 @p223 @p217 @p178 @p164 @p365)) % 34.14/34.31 (step-pop @p618 :rule scope :premises (@p447)) % 34.14/34.31 (step-pop @p619 :rule scope :premises (@p618)) % 34.14/34.31 (step-pop @p620 :rule scope :premises (@p619)) % 34.14/34.31 (step-pop @p621 :rule scope :premises (@p620)) % 34.14/34.31 (step-pop @p622 :rule scope :premises (@p621)) % 34.14/34.31 (step-pop @p623 :rule scope :premises (@p622)) % 34.14/34.31 (step-pop @p624 :rule scope :premises (@p623)) % 34.14/34.31 (step-pop @p625 :rule scope :premises (@p624)) % 34.14/34.31 (step-pop @p626 :rule scope :premises (@p625)) % 34.14/34.31 (step-pop @p627 :rule scope :premises (@p626)) % 34.14/34.31 (step @p448 :rule process_scope :premises (@p627) :args (@t274)) % 34.14/34.31 (step @p459 :rule implies_elim :premises (@p448)) % 34.14/34.31 (step @p460 :rule resolution :premises (@p459 @p426) :args (true @t274)) % 34.14/34.31 (step @p461 :rule not_and :premises (@p460)) % 34.14/34.31 (step @p462 :rule eq_resolve :premises (@p461 @p400)) % 34.14/34.31 (step @p463 :rule chain_m_resolution :premises (@p462 @p223 @p164 @p178 @p326 @p335 @p217 @p389 @p382 @p365) :args (@t266 (@list false false false false false false false false true) (@list @t193 @t164 @t168 @t224 @t232 @t188 @t243 @t263 @t250))) % 34.14/34.31 (step @p464 :rule cnf_equiv_pos2 :args (@t278)) % 34.14/34.31 (step @p465 :rule reordering :premises (@p464) :args ((or @t265 @t279 (not @t278)))) % 34.14/34.31 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p91) :args (@t279 @t201 (@list @t265 @t278))) % 34.14/34.31 (step @p467 :rule bool-impl-elim :args (@t15 @t83)) % 34.14/34.31 (step @p468 :rule cong :premises (@p467) :args (@t84)) % 34.14/34.31 (step @p469 :rule eq_resolve :premises (@p51 @p468)) % 34.14/34.31 (step @p470 :rule instantiate :premises (@p469) :args ((@list @t111 @t120 @t110))) % 34.14/34.31 (step @p471 :rule cnf_or_pos :args (@t280)) % 34.14/34.31 (step @p472 :rule reordering :premises (@p471) :args ((or @t189 @t276 (not @t280)))) % 34.14/34.31 (step @p473 :rule chain_m_resolution :premises (@p472 @p214 @p470) :args (@t276 @t149 (@list @t186 @t280))) % 34.14/34.31 (step @p474 :rule cnf_and_neg :args (@t277)) % 34.14/34.31 (step @p475 :rule reordering :premises (@p474) :args ((or (not @t276) @t277 @t281))) % 34.14/34.31 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p466) :args (@t281 @t239 (@list @t276 @t277))) % 34.14/34.31 (step @p477 :rule cnf_equiv_pos2 :args (@t282)) % 34.14/34.31 (step @p478 :rule reordering :premises (@p477) :args ((or @t275 @t283 (not @t282)))) % 34.14/34.31 (step @p479 :rule chain_m_resolution :premises (@p478 @p476 @p90) :args (@t283 @t201 (@list @t275 @t282))) % 34.14/34.31 (step @p480 :rule refl :args (@t288)) % 34.14/34.31 (step @p481 :rule bool-double-not-elim :args (@t126)) % 34.14/34.31 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or (not @t283) @t288))) % 34.14/34.31 (assume-push @p628 @t283) % 34.14/34.31 (step @p484 :rule skolemize :premises (@p628)) % 34.14/34.31 (step-pop @p629 :rule scope :premises (@p484)) % 34.14/34.31 (step @p485 :rule process_scope :premises (@p629) :args (@t288)) % 34.14/34.31 (step @p487 :rule implies_elim :premises (@p485)) % 34.14/34.31 (step @p488 :rule eq_resolve :premises (@p487 @p482)) % 34.14/34.31 (step @p489 :rule chain_m_resolution :premises (@p488 @p479) :args (@t288 @t135 (@list @t126))) % 34.14/34.31 (step @p490 :rule bool-double-not-elim :args (@t285)) % 34.14/34.31 (step @p491 :rule refl :args (@t287)) % 34.14/34.31 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or @t287 (not @t286)))) % 34.14/34.31 (step @p493 :rule cnf_or_neg :args (@t287 0)) % 34.14/34.31 (step @p494 :rule eq_resolve :premises (@p493 @p492)) % 34.14/34.31 (step @p495 :rule reordering :premises (@p494) :args ((or @t285 @t287))) % 34.14/34.31 (step @p496 :rule chain_m_resolution :premises (@p495 @p489) :args (@t285 @t135 @t289)) % 34.14/34.31 (assume-push @p630 @t193) % 34.14/34.31 (assume-push @p631 @t164) % 34.14/34.31 (assume-push @p632 @t168) % 34.14/34.31 (assume-push @p633 @t188) % 34.14/34.31 (assume-push @p634 @t285) % 34.14/34.31 (assume-push @p635 @t285) % 34.14/34.31 (assume-push @p636 @t193) % 34.14/34.31 (assume-push @p637 @t188) % 34.14/34.31 (assume-push @p638 @t168) % 34.14/34.31 (assume-push @p639 @t164) % 34.14/34.31 (step @p507 :rule true_intro :premises (@p634)) % 34.14/34.31 (step @p419 :rule cong :premises (@p223 @p355) :args (@t116)) % 34.14/34.31 (step @p508 :rule refl :args (@t127)) % 34.14/34.31 (step @p509 :rule cong :premises (@p508 @p419) :args (@t290)) % 34.14/34.31 (step @p510 :rule trans :premises (@p509 @p507)) % 34.14/34.31 (step @p511 :rule true_elim :premises (@p510)) % 34.14/34.31 (step-pop @p640 :rule scope :premises (@p511)) % 34.14/34.31 (step-pop @p641 :rule scope :premises (@p640)) % 34.14/34.31 (step-pop @p642 :rule scope :premises (@p641)) % 34.14/34.31 (step-pop @p643 :rule scope :premises (@p642)) % 34.14/34.31 (step-pop @p644 :rule scope :premises (@p643)) % 34.14/34.31 (step @p512 :rule process_scope :premises (@p644) :args (@t290)) % 34.14/34.31 (step @p518 :rule and_intro :premises (@p634 @p223 @p217 @p178 @p164)) % 34.14/34.31 (step @p519 :rule modus_ponens :premises (@p518 @p512)) % 34.14/34.31 (step-pop @p645 :rule scope :premises (@p519)) % 34.14/34.31 (step-pop @p646 :rule scope :premises (@p645)) % 34.14/34.31 (step-pop @p647 :rule scope :premises (@p646)) % 34.14/34.31 (step-pop @p648 :rule scope :premises (@p647)) % 34.14/34.31 (step-pop @p649 :rule scope :premises (@p648)) % 34.14/34.31 (step @p520 :rule process_scope :premises (@p649) :args (@t290)) % 34.14/34.31 (step @p526 :rule implies_elim :premises (@p520)) % 34.14/34.31 (step @p527 :rule cnf_and_neg :args (@t291)) % 34.14/34.31 (step @p528 :rule resolution :premises (@p527 @p526) :args (true @t291)) % 34.14/34.31 (step @p529 :rule chain_m_resolution :premises (@p528 @p223 @p164 @p178 @p217 @p496) :args (@t290 (@list false false false false false) (@list @t193 @t164 @t168 @t188 @t285))) % 34.14/34.31 (step @p530 :rule cnf_or_neg :args (@t287 1)) % 34.14/34.31 (step @p531 :rule chain_m_resolution :premises (@p530 @p489) :args (@t292 @t135 @t289)) % 34.14/34.31 (step @p532 :rule refl :args (@t294)) % 34.14/34.31 (step @p533 :rule bool-double-not-elim :args (@t284)) % 34.14/34.31 (step @p534 :rule nary_cong :premises (@p399 @p396 @p395 @p392 @p533 @p532) :args ((or @t273 @t270 @t269 @t267 (not @t292) @t294))) % 34.14/34.31 (assume-push @p650 @t193) % 34.14/34.31 (assume-push @p651 @t224) % 34.14/34.31 (assume-push @p652 @t232) % 34.14/34.31 (assume-push @p653 @t263) % 34.14/34.31 (assume-push @p654 @t292) % 34.14/34.31 (assume-push @p655 @t292) % 34.14/34.31 (assume-push @p656 @t232) % 34.14/34.31 (assume-push @p657 @t224) % 34.14/34.31 (assume-push @p658 @t263) % 34.14/34.31 (assume-push @p659 @t193) % 34.14/34.31 (step @p545 :rule false_intro :premises (@p654)) % 34.14/34.31 (step @p546 :rule trans :premises (@p326 @p335)) % 34.14/34.31 (step @p547 :rule cong :premises (@p265 @p546) :args (@t261)) % 34.14/34.31 (step @p416 :rule refl :args (@t110)) % 34.14/34.31 (step @p548 :rule cong :premises (@p416 @p547) :args (@t262)) % 34.14/34.31 (step @p549 :rule trans :premises (@p223 @p382 @p548)) % 34.14/34.31 (step @p508 :rule refl :args (@t127)) % 34.14/34.31 (step @p550 :rule cong :premises (@p508 @p549) :args (@t293)) % 34.14/34.31 (step @p551 :rule trans :premises (@p550 @p545)) % 34.14/34.31 (step @p552 :rule false_elim :premises (@p551)) % 34.14/34.31 (step-pop @p660 :rule scope :premises (@p552)) % 34.14/34.31 (step-pop @p661 :rule scope :premises (@p660)) % 34.14/34.31 (step-pop @p662 :rule scope :premises (@p661)) % 34.14/34.31 (step-pop @p663 :rule scope :premises (@p662)) % 34.14/34.31 (step-pop @p664 :rule scope :premises (@p663)) % 34.14/34.31 (step @p553 :rule process_scope :premises (@p664) :args (@t294)) % 34.14/34.31 (step @p559 :rule and_intro :premises (@p654 @p335 @p326 @p382 @p223)) % 34.14/34.31 (step @p560 :rule modus_ponens :premises (@p559 @p553)) % 34.14/34.31 (step-pop @p665 :rule scope :premises (@p560)) % 34.14/34.31 (step-pop @p666 :rule scope :premises (@p665)) % 34.14/34.31 (step-pop @p667 :rule scope :premises (@p666)) % 34.14/34.31 (step-pop @p668 :rule scope :premises (@p667)) % 34.14/34.31 (step-pop @p669 :rule scope :premises (@p668)) % 34.14/34.31 (step @p561 :rule process_scope :premises (@p669) :args (@t294)) % 34.14/34.31 (step @p567 :rule implies_elim :premises (@p561)) % 34.14/34.31 (step @p568 :rule cnf_and_neg :args (@t295)) % 34.14/34.31 (step @p569 :rule resolution :premises (@p568 @p567) :args (true @t295)) % 34.14/34.31 (step @p570 :rule eq_resolve :premises (@p569 @p534)) % 34.14/34.31 (step @p571 :rule chain_m_resolution :premises (@p570 @p223 @p326 @p335 @p382 @p531) :args (@t294 (@list false false false false true) (@list @t193 @t224 @t232 @t263 @t284))) % 34.14/34.31 (step @p572 :rule cnf_and_pos :args (@t296 0)) % 34.14/34.31 (step @p573 :rule reordering :premises (@p572) :args ((or @t293 @t297))) % 34.14/34.31 (step @p574 :rule chain_m_resolution :premises (@p573 @p571) :args (@t297 @t135 (@list @t293))) % 34.14/34.31 (step @p575 :rule cnf_equiv_pos1 :args (@t298)) % 34.14/34.31 (step @p576 :rule reordering :premises (@p575) :args ((or @t296 (not @t290) (not @t298)))) % 34.14/34.31 (step @p577 false :rule chain_m_resolution :premises (@p576 @p574 @p529 @p83) :args (false (@list true false false) (@list @t296 @t290 @t298))) % 34.14/34.31 ) % 34.14/34.31 % SZS output end Proof % 34.14/34.31 % cvc5 exiting %------------------------------------------------------------------------------