%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU445+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 : n010.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 34.15s 34.32s % Output : Proof 34.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU445+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:31:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.15/34.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.15/34.32 --- Run --no-e-matching --full-saturate-quant at 6... % 34.15/34.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.15/34.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.15/34.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.15/34.32 % SZS status Theorem % 34.15/34.32 % SZS output start Proof % 34.15/34.32 ( % 34.15/34.32 (declare-sort $$unsorted 0) % 34.15/34.32 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.15/34.32 (declare-const tptp.k1_funct_5 (-> $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k5_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 34.15/34.32 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.15/34.32 (declare-const tptp.k2_funct_5 (-> $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.15/34.32 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.15/34.32 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.15/34.32 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.15/34.32 (declare-const tptp.k9_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.15/34.32 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.15/34.32 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.15/34.32 (define @t1 () (@var "B" $$unsorted)) % 34.15/34.32 (define @t2 () (@var "C" $$unsorted)) % 34.15/34.32 (define @t3 () (@var "A" $$unsorted)) % 34.15/34.32 (define @t4 () (tptp.k6_relset_1 @t1 @t3 @t2)) % 34.15/34.32 (define @t5 () (tptp.k10_relset_1 @t3 @t1 @t4 @t3)) % 34.15/34.32 (define @t6 () (= @t5 (tptp.k10_relset_1 @t1 @t1 (tptp.k9_relset_2 @t1 @t3 @t1 @t2 @t4) @t1))) % 34.15/34.32 (define @t7 () (tptp.m2_relset_1 @t2 @t1 @t3)) % 34.15/34.32 (define @t8 () (@list @t3 @t1 @t2)) % 34.15/34.32 (define @t9 () (forall @t8 (=> @t7 @t6))) % 34.15/34.32 (define @t10 () (not @t9)) % 34.15/34.32 (define @t11 () (tptp.r2_hidden @t3 @t1)) % 34.15/34.32 (define @t12 () (@list @t3 @t1)) % 34.15/34.32 (define @t13 () (tptp.v1_relat_1 @t3)) % 34.15/34.32 (define @t14 () (tptp.v1_xboole_0 @t3)) % 34.15/34.32 (define @t15 () (@list @t3)) % 34.15/34.32 (define @t16 () (tptp.v1_relat_1 @t2)) % 34.15/34.32 (define @t17 () (tptp.k2_zfmisc_1 @t3 @t1)) % 34.15/34.32 (define @t18 () (tptp.k1_zfmisc_1 @t17)) % 34.15/34.32 (define @t19 () (tptp.m1_subset_1 @t2 @t18)) % 34.15/34.32 (define @t20 () (forall @t8 (=> @t19 @t16))) % 34.15/34.32 (define @t21 () (tptp.k3_xboole_0 @t3 @t1)) % 34.15/34.32 (define @t22 () (tptp.k5_subset_1 @t3 @t1 @t2)) % 34.15/34.32 (define @t23 () (tptp.k1_zfmisc_1 @t3)) % 34.15/34.32 (define @t24 () (tptp.m1_subset_1 @t1 @t23)) % 34.15/34.32 (define @t25 () (and @t24 (tptp.m1_subset_1 @t2 @t23))) % 34.15/34.32 (define @t26 () (tptp.r1_tarski @t3 @t1)) % 34.15/34.32 (define @t27 () (= @t3 @t1)) % 34.15/34.32 (define @t28 () (tptp.r2_hidden @t2 @t1)) % 34.15/34.32 (define @t29 () (tptp.r2_hidden @t2 @t3)) % 34.15/34.32 (define @t30 () (@list @t2)) % 34.15/34.32 (define @t31 () (forall @t30 (=> @t29 @t28))) % 34.15/34.32 (define @t32 () (= @t26 @t31)) % 34.15/34.32 (define @t33 () (forall @t12 @t32)) % 34.15/34.32 (define @t34 () (@var "D" $$unsorted)) % 34.15/34.32 (define @t35 () (@list @t34)) % 34.15/34.32 (define @t36 () (forall @t8 (= (= @t2 @t21) (forall @t35 (= (tptp.r2_hidden @t34 @t2) (and (tptp.r2_hidden @t34 @t3) (tptp.r2_hidden @t34 @t1))))))) % 34.15/34.32 (define @t37 () (tptp.k1_zfmisc_1 @t1)) % 34.15/34.32 (define @t38 () (tptp.k10_relset_1 @t3 @t1 @t2 @t34)) % 34.15/34.32 (define @t39 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 34.15/34.32 (define @t40 () (@list @t3 @t1 @t2 @t34)) % 34.15/34.32 (define @t41 () (tptp.k4_relat_1 @t3)) % 34.15/34.32 (define @t42 () (tptp.v1_relat_1 @t41)) % 34.15/34.32 (define @t43 () (tptp.k5_relat_1 @t3 @t1)) % 34.15/34.32 (define @t44 () (tptp.v1_relat_1 @t43)) % 34.15/34.32 (define @t45 () (tptp.v1_relat_1 @t1)) % 34.15/34.32 (define @t46 () (and @t13 @t45)) % 34.15/34.32 (define @t47 () (tptp.k5_relset_1 @t3 @t1 @t2)) % 34.15/34.32 (define @t48 () (tptp.m1_subset_1 @t47 @t37)) % 34.15/34.32 (define @t49 () (forall @t8 (=> @t39 @t48))) % 34.15/34.32 (define @t50 () (tptp.k6_relset_1 @t3 @t1 @t2)) % 34.15/34.32 (define @t51 () (tptp.m2_relset_1 @t50 @t1 @t3)) % 34.15/34.32 (define @t52 () (forall @t8 (=> @t39 @t51))) % 34.15/34.32 (define @t53 () (@var "E" $$unsorted)) % 34.15/34.32 (define @t54 () (tptp.k9_relset_2 @t3 @t1 @t2 @t34 @t53)) % 34.15/34.32 (define @t55 () (tptp.m2_relset_1 @t54 @t3 @t2)) % 34.15/34.32 (define @t56 () (tptp.m1_subset_1 @t53 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t2)))) % 34.15/34.32 (define @t57 () (tptp.m1_subset_1 @t34 @t18)) % 34.15/34.32 (define @t58 () (and @t57 @t56)) % 34.15/34.32 (define @t59 () (@list @t3 @t1 @t2 @t34 @t53)) % 34.15/34.32 (define @t60 () (forall @t59 (=> @t58 @t55))) % 34.15/34.32 (define @t61 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 34.15/34.32 (define @t62 () (forall @t8 (=> @t61 @t19))) % 34.15/34.32 (define @t63 () (@list @t1)) % 34.15/34.32 (define @t64 () (tptp.k5_relat_1 @t1 @t3)) % 34.15/34.32 (define @t65 () (and @t14 @t45)) % 34.15/34.32 (define @t66 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 34.15/34.32 (define @t67 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.15/34.32 (define @t68 () (tptp.v1_xboole_0 @t1)) % 34.15/34.32 (define @t69 () (not @t68)) % 34.15/34.32 (define @t70 () (not @t14)) % 34.15/34.32 (define @t71 () (tptp.k1_relat_1 @t3)) % 34.15/34.32 (define @t72 () (tptp.v1_xboole_0 @t71)) % 34.15/34.32 (define @t73 () (and @t70 @t13)) % 34.15/34.32 (define @t74 () (tptp.k2_relat_1 @t3)) % 34.15/34.32 (define @t75 () (tptp.v1_xboole_0 @t74)) % 34.15/34.32 (define @t76 () (= @t38 (tptp.k9_relat_1 @t2 @t34))) % 34.15/34.32 (define @t77 () (forall @t40 (=> @t39 @t76))) % 34.15/34.32 (define @t78 () (= @t47 (tptp.k2_relat_1 @t2))) % 34.15/34.32 (define @t79 () (forall @t8 (=> @t39 @t78))) % 34.15/34.32 (define @t80 () (tptp.k4_relat_1 @t2)) % 34.15/34.32 (define @t81 () (= @t50 @t80)) % 34.15/34.32 (define @t82 () (forall @t8 (=> @t39 @t81))) % 34.15/34.32 (define @t83 () (= @t54 (tptp.k5_relat_1 @t34 @t53))) % 34.15/34.32 (define @t84 () (forall @t59 (=> @t58 @t83))) % 34.15/34.32 (define @t85 () (forall @t8 (= @t61 @t39))) % 34.15/34.32 (define @t86 () (tptp.k9_relat_1 @t2 @t1)) % 34.15/34.32 (define @t87 () (tptp.k9_relat_1 @t2 @t3)) % 34.15/34.32 (define @t88 () (tptp.r1_tarski (tptp.k9_relat_1 @t2 @t21) (tptp.k3_xboole_0 @t87 @t86))) % 34.15/34.32 (define @t89 () (forall @t8 (=> @t16 @t88))) % 34.15/34.32 (define @t90 () (tptp.r1_tarski @t87 @t86)) % 34.15/34.32 (define @t91 () (=> @t26 @t90)) % 34.15/34.32 (define @t92 () (forall @t8 (=> @t16 @t91))) % 34.15/34.32 (define @t93 () (tptp.k9_relat_1 @t1 @t3)) % 34.15/34.32 (define @t94 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t1 @t2) @t3) (tptp.k9_relat_1 @t2 @t93))) % 34.15/34.32 (define @t95 () (forall @t30 (=> @t16 @t94))) % 34.15/34.32 (define @t96 () (=> @t45 @t95)) % 34.15/34.32 (define @t97 () (forall @t12 @t96)) % 34.15/34.32 (define @t98 () (tptp.m1_subset_1 @t3 @t1)) % 34.15/34.32 (define @t99 () (tptp.k2_funct_5 @t3)) % 34.15/34.32 (define @t100 () (tptp.k1_funct_5 @t3)) % 34.15/34.32 (define @t101 () (and (= @t100 @t71) (= @t99 @t74))) % 34.15/34.32 (define @t102 () (=> @t13 @t101)) % 34.15/34.32 (define @t103 () (forall @t15 @t102)) % 34.15/34.32 (define @t104 () (tptp.m1_subset_1 @t3 @t37)) % 34.15/34.32 (define @t105 () (forall @t12 (= @t104 @t26))) % 34.15/34.32 (define @t106 () (tptp.k2_funct_5 @t2)) % 34.15/34.32 (define @t107 () (forall @t35 (= (tptp.k9_relat_1 @t80 @t34) (tptp.k9_relat_1 @t80 (tptp.k3_xboole_0 @t34 @t106))))) % 34.15/34.32 (define @t108 () (forall @t8 (=> @t19 @t107))) % 34.15/34.32 (define @t109 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 34.15/34.32 (define @t110 () (= @t106 (tptp.k10_relset_1 @t1 @t3 @t2 @t1))) % 34.15/34.32 (define @t111 () (tptp.k1_funct_5 @t2)) % 34.15/34.32 (define @t112 () (and (= @t111 @t5) @t110)) % 34.15/34.32 (define @t113 () (=> @t7 @t112)) % 34.15/34.32 (define @t114 () (forall @t8 @t113)) % 34.15/34.32 (define @t115 () (forall @t8 (or (not @t7) @t6))) % 34.15/34.32 (define @t116 () (@quantifiers_skolemize @t115 1)) % 34.15/34.32 (define @t117 () (@quantifiers_skolemize @t115 2)) % 34.15/34.32 (define @t118 () (@quantifiers_skolemize @t115 0)) % 34.15/34.32 (define @t119 () (tptp.k6_relset_1 @t116 @t118 @t117)) % 34.15/34.32 (define @t120 () (tptp.k9_relset_2 @t116 @t118 @t116 @t117 @t119)) % 34.15/34.32 (define @t121 () (tptp.k10_relset_1 @t116 @t116 @t120 @t116)) % 34.15/34.32 (define @t122 () (tptp.k10_relset_1 @t118 @t116 @t119 @t118)) % 34.15/34.32 (define @t123 () (tptp.k3_xboole_0 @t122 @t121)) % 34.15/34.32 (define @t124 () (forall @t35 (= (tptp.r2_hidden @t34 @t123) (and (tptp.r2_hidden @t34 @t122) (tptp.r2_hidden @t34 @t121))))) % 34.15/34.32 (define @t125 () (= (= @t123 @t123) @t124)) % 34.15/34.32 (define @t126 () (@list false)) % 34.15/34.32 (define @t127 () (tptp.k9_relat_1 @t117 @t116)) % 34.15/34.32 (define @t128 () (tptp.k3_xboole_0 @t118 @t127)) % 34.15/34.32 (define @t129 () (tptp.k9_relat_1 @t119 @t128)) % 34.15/34.32 (define @t130 () (tptp.k9_relat_1 @t119 @t127)) % 34.15/34.32 (define @t131 () (tptp.k9_relat_1 @t119 @t118)) % 34.15/34.32 (define @t132 () (tptp.k3_xboole_0 @t131 @t130)) % 34.15/34.32 (define @t133 () (forall @t30 (or (not (tptp.r2_hidden @t2 @t132)) (tptp.r2_hidden @t2 @t129)))) % 34.15/34.32 (define @t134 () (@quantifiers_skolemize @t133 0)) % 34.15/34.32 (define @t135 () (forall @t30 (or (not (tptp.r2_hidden @t2 @t131)) (tptp.r2_hidden @t2 @t130)))) % 34.15/34.32 (define @t136 () (@quantifiers_skolemize @t135 0)) % 34.15/34.32 (define @t137 () (@list @t131 @t130)) % 34.15/34.32 (define @t138 () (= @t122 @t121)) % 34.15/34.32 (define @t139 () (tptp.m2_relset_1 @t117 @t116 @t118)) % 34.15/34.32 (define @t140 () (not @t139)) % 34.15/34.32 (define @t141 () (or @t140 @t138)) % 34.15/34.32 (define @t142 () (@list true)) % 34.15/34.32 (define @t143 () (@list @t141)) % 34.15/34.32 (define @t144 () (not @t56)) % 34.15/34.32 (define @t145 () (not @t57)) % 34.15/34.32 (define @t146 () (or @t145 @t144)) % 34.15/34.32 (define @t147 () (not @t58)) % 34.15/34.32 (define @t148 () (@list @t116 @t118 @t116 @t117 @t119)) % 34.15/34.32 (define @t149 () (@list @t118 @t116 @t119)) % 34.15/34.32 (define @t150 () (@list @t116 @t118 @t117)) % 34.15/34.32 (define @t151 () (tptp.m1_relset_1 @t117 @t116 @t118)) % 34.15/34.32 (define @t152 () (forall @t8 (= @t39 @t61))) % 34.15/34.32 (define @t153 () (= @t151 @t139)) % 34.15/34.32 (define @t154 () (= @t139 @t151)) % 34.15/34.32 (define @t155 () (@list false false)) % 34.15/34.32 (define @t156 () (tptp.m2_relset_1 @t119 @t118 @t116)) % 34.15/34.32 (define @t157 () (not @t151)) % 34.15/34.32 (define @t158 () (or @t157 @t156)) % 34.15/34.32 (define @t159 () (tptp.m1_subset_1 @t119 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t118 @t116)))) % 34.15/34.32 (define @t160 () (not @t156)) % 34.15/34.32 (define @t161 () (or @t160 @t159)) % 34.15/34.32 (define @t162 () (tptp.m1_subset_1 @t117 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t116 @t118)))) % 34.15/34.32 (define @t163 () (or @t140 @t162)) % 34.15/34.32 (define @t164 () (tptp.m2_relset_1 @t120 @t116 @t116)) % 34.15/34.32 (define @t165 () (not @t159)) % 34.15/34.32 (define @t166 () (not @t162)) % 34.15/34.32 (define @t167 () (or @t166 @t165 @t164)) % 34.15/34.32 (define @t168 () (@list false false false)) % 34.15/34.32 (define @t169 () (tptp.m1_relset_1 @t120 @t116 @t116)) % 34.15/34.32 (define @t170 () (= @t169 @t164)) % 34.15/34.32 (define @t171 () (tptp.k9_relat_1 @t120 @t116)) % 34.15/34.32 (define @t172 () (= @t121 @t171)) % 34.15/34.32 (define @t173 () (not @t169)) % 34.15/34.32 (define @t174 () (or @t173 @t172)) % 34.15/34.32 (define @t175 () (tptp.k5_relat_1 @t117 @t119)) % 34.15/34.32 (define @t176 () (= @t120 @t175)) % 34.15/34.32 (define @t177 () (or @t166 @t165 @t176)) % 34.15/34.32 (define @t178 () (tptp.k9_relat_1 @t175 @t116)) % 34.15/34.32 (define @t179 () (@var "BOUND_VARIABLE_7947" $$unsorted)) % 34.15/34.32 (define @t180 () (= (tptp.k9_relat_1 (tptp.k5_relat_1 @t1 @t179) @t3) (tptp.k9_relat_1 @t179 @t93))) % 34.15/34.32 (define @t181 () (not (tptp.v1_relat_1 @t179))) % 34.15/34.32 (define @t182 () (not @t45)) % 34.15/34.32 (define @t183 () (or @t181 @t180)) % 34.15/34.32 (define @t184 () (or @t182 @t183)) % 34.15/34.32 (define @t185 () (forall (@list @t3 @t1 @t179) @t184)) % 34.15/34.32 (define @t186 () (@list @t179)) % 34.15/34.32 (define @t187 () (forall @t186 @t184)) % 34.15/34.32 (define @t188 () (forall @t186 @t183)) % 34.15/34.32 (define @t189 () (or @t182 @t188)) % 34.15/34.32 (define @t190 () (not @t16)) % 34.15/34.32 (define @t191 () (forall @t30 (or @t190 @t94))) % 34.15/34.32 (define @t192 () (tptp.v1_relat_1 @t119)) % 34.15/34.32 (define @t193 () (or @t165 @t192)) % 34.15/34.32 (define @t194 () (tptp.v1_relat_1 @t117)) % 34.15/34.32 (define @t195 () (or @t166 @t194)) % 34.15/34.32 (define @t196 () (= @t178 @t130)) % 34.15/34.32 (define @t197 () (not @t192)) % 34.15/34.32 (define @t198 () (not @t194)) % 34.15/34.32 (define @t199 () (or @t198 @t197 @t196)) % 34.15/34.32 (define @t200 () (tptp.m1_relset_1 @t119 @t118 @t116)) % 34.15/34.32 (define @t201 () (= @t200 @t156)) % 34.15/34.32 (define @t202 () (= @t122 @t131)) % 34.15/34.32 (define @t203 () (not @t200)) % 34.15/34.32 (define @t204 () (or @t203 @t202)) % 34.15/34.32 (define @t205 () (= @t131 @t130)) % 34.15/34.32 (define @t206 () (tptp.r1_tarski @t130 @t131)) % 34.15/34.32 (define @t207 () (tptp.r1_tarski @t131 @t130)) % 34.15/34.32 (define @t208 () (and @t207 @t206)) % 34.15/34.32 (define @t209 () (= @t205 @t208)) % 34.15/34.32 (define @t210 () (not @t208)) % 34.15/34.32 (define @t211 () (@list true false)) % 34.15/34.32 (define @t212 () (not @t26)) % 34.15/34.32 (define @t213 () (tptp.k5_relset_1 @t116 @t118 @t117)) % 34.15/34.32 (define @t214 () (tptp.r1_tarski @t213 @t118)) % 34.15/34.32 (define @t215 () (tptp.m1_subset_1 @t213 (tptp.k1_zfmisc_1 @t118))) % 34.15/34.32 (define @t216 () (forall @t12 (= @t26 @t104))) % 34.15/34.32 (define @t217 () (= @t214 @t215)) % 34.15/34.32 (define @t218 () (= @t215 @t214)) % 34.15/34.32 (define @t219 () (or @t157 @t215)) % 34.15/34.32 (define @t220 () (tptp.k2_relat_1 @t117)) % 34.15/34.32 (define @t221 () (= @t213 @t220)) % 34.15/34.32 (define @t222 () (or @t157 @t221)) % 34.15/34.32 (define @t223 () (and (= @t71 @t100) (= @t74 @t99))) % 34.15/34.32 (define @t224 () (tptp.k2_funct_5 @t117)) % 34.15/34.32 (define @t225 () (tptp.k1_relat_1 @t117)) % 34.15/34.32 (define @t226 () (tptp.k1_funct_5 @t117)) % 34.15/34.32 (define @t227 () (and (= @t225 @t226) (= @t220 @t224))) % 34.15/34.32 (define @t228 () (or @t198 @t227)) % 34.15/34.32 (define @t229 () (forall @t15 (or (not @t13) @t223))) % 34.15/34.32 (define @t230 () (= @t224 @t220)) % 34.15/34.32 (define @t231 () (and (= @t226 @t225) @t230)) % 34.15/34.32 (define @t232 () (or @t198 @t231)) % 34.15/34.32 (define @t233 () (and (= @t5 @t111) @t110)) % 34.15/34.32 (define @t234 () (tptp.k10_relset_1 @t116 @t118 @t117 @t116)) % 34.15/34.32 (define @t235 () (= @t224 @t234)) % 34.15/34.32 (define @t236 () (and (= @t122 @t226) @t235)) % 34.15/34.32 (define @t237 () (or @t140 @t236)) % 34.15/34.32 (define @t238 () (= @t234 @t127)) % 34.15/34.32 (define @t239 () (or @t157 @t238)) % 34.15/34.32 (define @t240 () (tptp.r1_tarski @t127 @t118)) % 34.15/34.32 (define @t241 () (not @t240)) % 34.15/34.32 (define @t242 () (or @t197 @t241 @t206)) % 34.15/34.32 (define @t243 () (not @t207)) % 34.15/34.32 (define @t244 () (@list false true)) % 34.15/34.32 (define @t245 () (= @t207 @t135)) % 34.15/34.32 (define @t246 () (not @t135)) % 34.15/34.32 (define @t247 () (tptp.r2_hidden @t136 @t130)) % 34.15/34.32 (define @t248 () (tptp.r2_hidden @t136 @t131)) % 34.15/34.32 (define @t249 () (not @t248)) % 34.15/34.32 (define @t250 () (or @t249 @t247)) % 34.15/34.32 (define @t251 () (@list @t250)) % 34.15/34.32 (define @t252 () (tptp.r2_hidden @t136 @t121)) % 34.15/34.32 (define @t253 () (and (tptp.r2_hidden @t136 @t122) @t252)) % 34.15/34.32 (define @t254 () (not @t253)) % 34.15/34.32 (define @t255 () (tptp.r2_hidden @t136 @t123)) % 34.15/34.32 (define @t256 () (= @t255 @t253)) % 34.15/34.32 (define @t257 () (not @t255)) % 34.15/34.32 (define @t258 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 34.15/34.32 (define @t259 () (= (tptp.k9_relat_1 @t80 @t258) (tptp.k9_relat_1 @t80 (tptp.k3_xboole_0 @t258 @t106)))) % 34.15/34.32 (define @t260 () (not @t19)) % 34.15/34.32 (define @t261 () (or @t260 @t259)) % 34.15/34.32 (define @t262 () (@list @t258)) % 34.15/34.32 (define @t263 () (forall @t262 @t261)) % 34.15/34.32 (define @t264 () (forall @t262 @t259)) % 34.15/34.32 (define @t265 () (or @t260 @t264)) % 34.15/34.32 (define @t266 () (tptp.k3_xboole_0 @t118 @t224)) % 34.15/34.32 (define @t267 () (tptp.k4_relat_1 @t117)) % 34.15/34.32 (define @t268 () (tptp.k9_relat_1 @t267 @t266)) % 34.15/34.32 (define @t269 () (tptp.k9_relat_1 @t267 @t118)) % 34.15/34.32 (define @t270 () (= @t269 @t268)) % 34.15/34.32 (define @t271 () (or @t166 @t270)) % 34.15/34.32 (define @t272 () (= @t119 @t267)) % 34.15/34.32 (define @t273 () (or @t157 @t272)) % 34.15/34.32 (define @t274 () (= @t129 @t132)) % 34.15/34.32 (define @t275 () (not @t274)) % 34.15/34.32 (define @t276 () (not @t270)) % 34.15/34.32 (define @t277 () (not @t196)) % 34.15/34.32 (define @t278 () (not @t238)) % 34.15/34.32 (define @t279 () (not @t235)) % 34.15/34.32 (define @t280 () (not @t176)) % 34.15/34.32 (define @t281 () (not @t272)) % 34.15/34.32 (define @t282 () (not @t172)) % 34.15/34.32 (define @t283 () (not @t202)) % 34.15/34.32 (define @t284 () (and @t248 @t272 @t270 @t235 @t238 @t274 @t202 @t196 @t176 @t172 @t257)) % 34.15/34.32 (define @t285 () (tptp.r1_tarski @t132 @t129)) % 34.15/34.32 (define @t286 () (tptp.r1_tarski @t129 @t132)) % 34.15/34.32 (define @t287 () (and @t286 @t285)) % 34.15/34.32 (define @t288 () (= @t274 @t287)) % 34.15/34.32 (define @t289 () (not @t287)) % 34.15/34.32 (define @t290 () (or @t197 @t286)) % 34.15/34.32 (define @t291 () (not @t285)) % 34.15/34.32 (define @t292 () (= @t285 @t133)) % 34.15/34.32 (define @t293 () (not @t133)) % 34.15/34.32 (define @t294 () (tptp.r2_hidden @t134 @t129)) % 34.15/34.32 (define @t295 () (tptp.r2_hidden @t134 @t132)) % 34.15/34.32 (define @t296 () (not @t295)) % 34.15/34.32 (define @t297 () (or @t296 @t294)) % 34.15/34.32 (define @t298 () (not @t297)) % 34.15/34.32 (define @t299 () (@list @t297)) % 34.15/34.32 (define @t300 () (tptp.r2_hidden @t134 @t123)) % 34.15/34.32 (define @t301 () (and @t202 @t172 @t176 @t196 @t295)) % 34.15/34.32 (define @t302 () (not @t294)) % 34.15/34.32 (define @t303 () (tptp.r2_hidden @t134 @t122)) % 34.15/34.32 (define @t304 () (not @t303)) % 34.15/34.32 (define @t305 () (and @t202 @t272 @t235 @t238 @t270 @t302)) % 34.15/34.32 (define @t306 () (and @t303 (tptp.r2_hidden @t134 @t121))) % 34.15/34.32 (define @t307 () (not @t306)) % 34.15/34.32 (define @t308 () (= @t300 @t306)) % 34.15/34.32 (assume @p1 @t10) % 34.15/34.32 (assume @p2 (forall @t12 (=> @t11 (not (tptp.r2_hidden @t1 @t3))))) % 34.15/34.32 (assume @p3 (forall @t15 (=> @t14 @t13))) % 34.15/34.32 (assume @p4 @t20) % 34.15/34.32 (assume @p5 (forall @t12 (= @t21 (tptp.k3_xboole_0 @t1 @t3)))) % 34.15/34.32 (assume @p6 (forall @t8 (=> @t25 (= @t22 (tptp.k5_subset_1 @t3 @t2 @t1))))) % 34.15/34.32 (assume @p7 (forall @t12 (= @t27 (and @t26 (tptp.r1_tarski @t1 @t3))))) % 34.15/34.32 (assume @p8 @t33) % 34.15/34.32 (assume @p9 @t36) % 34.15/34.32 (assume @p10 (forall @t40 (=> @t39 (tptp.m1_subset_1 @t38 @t37)))) % 34.15/34.32 (assume @p11 true) % 34.15/34.32 (assume @p12 (forall @t15 (=> @t13 @t42))) % 34.15/34.32 (assume @p13 (forall @t12 (=> @t46 @t44))) % 34.15/34.32 (assume @p14 @t49) % 34.15/34.32 (assume @p15 (forall @t8 (=> @t25 (tptp.m1_subset_1 @t22 @t23)))) % 34.15/34.32 (assume @p16 @t52) % 34.15/34.32 (assume @p17 @t60) % 34.15/34.32 (assume @p18 @t62) % 34.15/34.32 (assume @p19 (forall @t12 (exists @t30 @t39))) % 34.15/34.32 (assume @p20 (forall @t15 (exists @t63 (tptp.m1_subset_1 @t1 @t3)))) % 34.15/34.32 (assume @p21 (forall @t12 (exists @t30 @t61))) % 34.15/34.32 (assume @p22 (forall @t12 (=> @t65 (and (tptp.v1_xboole_0 @t64) (tptp.v1_relat_1 @t64))))) % 34.15/34.32 (assume @p23 (forall @t15 (=> @t14 (and (tptp.v1_xboole_0 @t41) @t42)))) % 34.15/34.32 (assume @p24 (and @t67 @t66 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 34.15/34.32 (assume @p25 (forall @t12 (=> @t46 (tptp.v1_relat_1 @t21)))) % 34.15/34.32 (assume @p26 (forall @t15 (not (tptp.v1_xboole_0 @t23)))) % 34.15/34.32 (assume @p27 (forall @t12 (tptp.v1_relat_1 @t17))) % 34.15/34.32 (assume @p28 (and @t67 @t66)) % 34.15/34.32 (assume @p29 (forall @t12 (=> (and @t70 @t69) (not (tptp.v1_xboole_0 @t17))))) % 34.15/34.32 (assume @p30 (forall @t15 (=> @t73 (not @t72)))) % 34.15/34.32 (assume @p31 (forall @t15 (=> @t73 (not @t75)))) % 34.15/34.32 (assume @p32 (forall @t15 (=> @t14 (and @t72 (tptp.v1_relat_1 @t71))))) % 34.15/34.32 (assume @p33 (forall @t15 (=> @t14 (and @t75 (tptp.v1_relat_1 @t74))))) % 34.15/34.32 (assume @p34 (forall @t12 (=> @t65 (and (tptp.v1_xboole_0 @t43) @t44)))) % 34.15/34.32 (assume @p35 (forall @t12 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 34.15/34.32 (assume @p36 (forall @t8 (=> @t25 (= (tptp.k5_subset_1 @t3 @t1 @t1) @t1)))) % 34.15/34.32 (assume @p37 (forall @t15 (=> @t13 (= (tptp.k4_relat_1 @t41) @t3)))) % 34.15/34.32 (assume @p38 (forall @t8 (=> @t39 (= (tptp.k6_relset_1 @t3 @t1 @t50) @t2)))) % 34.15/34.32 (assume @p39 (exists @t15 (and @t14 @t13))) % 34.15/34.32 (assume @p40 (forall @t15 (=> @t70 (exists @t63 (and @t24 @t69))))) % 34.15/34.32 (assume @p41 (exists @t15 @t73)) % 34.15/34.32 (assume @p42 (forall @t15 (exists @t63 (and @t24 @t68)))) % 34.15/34.32 (assume @p43 (exists @t15 (and @t13 (tptp.v3_relat_1 @t3)))) % 34.15/34.32 (assume @p44 @t77) % 34.15/34.32 (assume @p45 @t79) % 34.15/34.32 (assume @p46 (forall @t8 (=> @t25 (= @t22 (tptp.k3_xboole_0 @t1 @t2))))) % 34.15/34.32 (assume @p47 @t82) % 34.15/34.32 (assume @p48 @t84) % 34.15/34.32 (assume @p49 @t85) % 34.15/34.32 (assume @p50 (forall @t12 (tptp.r1_tarski @t3 @t3))) % 34.15/34.32 (assume @p51 @t89) % 34.15/34.32 (assume @p52 @t92) % 34.15/34.32 (assume @p53 @t97) % 34.15/34.32 (assume @p54 (forall @t12 (=> @t11 @t98))) % 34.15/34.32 (assume @p55 (forall @t8 (=> (and @t26 (tptp.r1_tarski @t1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 34.15/34.32 (assume @p56 @t103) % 34.15/34.32 (assume @p57 (forall @t15 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 34.15/34.32 (assume @p58 (forall @t12 (=> @t98 (or @t68 @t11)))) % 34.15/34.32 (assume @p59 @t105) % 34.15/34.32 (assume @p60 @t108) % 34.15/34.32 (assume @p61 (forall @t8 (=> (and @t11 @t109) (tptp.m1_subset_1 @t3 @t2)))) % 34.15/34.32 (assume @p62 @t114) % 34.15/34.32 (assume @p63 (forall @t8 (not (and @t11 @t109 (tptp.v1_xboole_0 @t2))))) % 34.15/34.32 (assume @p64 (forall @t15 (=> @t14 (= @t3 tptp.k1_xboole_0)))) % 34.15/34.32 (assume @p65 (forall @t12 (not (and @t11 @t68)))) % 34.15/34.32 (assume @p66 (forall @t12 (not (and @t14 (not @t27) @t68)))) % 34.15/34.32 (step @p67 :rule bool-eq-true :args (@t124)) % 34.15/34.32 (step @p68 :rule eq-symm :args (true @t124)) % 34.15/34.32 (step @p69 :rule trans :premises (@p68 @p67)) % 34.15/34.32 (step @p70 :rule refl :args (@t124)) % 34.15/34.32 (step @p71 :rule eq-refl :args (@t123)) % 34.15/34.32 (step @p72 :rule cong :premises (@p71 @p70) :args (@t125)) % 34.15/34.32 (step @p73 :rule trans :premises (@p72 @p69)) % 34.15/34.32 (step @p74 :rule refl :args (@t36)) % 34.15/34.32 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t36 @t125))) % 34.15/34.32 (assume-push @p593 @t36) % 34.15/34.32 (step @p77 :rule instantiate :premises (@p9) :args ((@list @t122 @t121 @t123))) % 34.15/34.32 (step-pop @p594 :rule scope :premises (@p77)) % 34.15/34.32 (step @p78 :rule process_scope :premises (@p594) :args (@t125)) % 34.15/34.32 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 34.15/34.32 (step @p81 :rule implies_elim :premises (@p80)) % 34.15/34.32 (step @p82 :rule chain_m_resolution :premises (@p81 @p9) :args (@t124 @t126 (@list @t36))) % 34.15/34.32 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t134))) % 34.15/34.32 (step @p84 :rule bool-impl-elim :args (@t29 @t28)) % 34.15/34.32 (step @p85 :rule cong :premises (@p84) :args (@t31)) % 34.15/34.32 (step @p86 :rule refl :args (@t26)) % 34.15/34.32 (step @p87 :rule cong :premises (@p86 @p85) :args (@t32)) % 34.15/34.32 (step @p88 :rule cong :premises (@p87) :args (@t33)) % 34.15/34.32 (step @p89 :rule eq_resolve :premises (@p8 @p88)) % 34.15/34.32 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t132 @t129))) % 34.15/34.32 (step @p91 :rule instantiate :premises (@p7) :args ((@list @t129 @t132))) % 34.15/34.32 (step @p92 :rule instantiate :premises (@p82) :args ((@list @t136))) % 34.15/34.32 (step @p93 :rule instantiate :premises (@p89) :args (@t137)) % 34.15/34.32 (step @p94 :rule instantiate :premises (@p7) :args (@t137)) % 34.15/34.32 (step @p95 :rule bool-impl-elim :args (@t7 @t6)) % 34.15/34.32 (step @p96 :rule cong :premises (@p95) :args (@t9)) % 34.15/34.32 (step @p97 :rule cong :premises (@p96) :args (@t10)) % 34.15/34.32 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 34.15/34.32 (step @p99 :rule skolemize :premises (@p98)) % 34.15/34.32 (step @p100 :rule cnf_or_neg :args (@t141 1)) % 34.15/34.32 (step @p101 :rule chain_m_resolution :premises (@p100 @p99) :args ((not @t138) @t142 @t143)) % 34.15/34.32 (step @p102 :rule false_intro :premises (@p101)) % 34.15/34.32 (step @p103 :rule bool-impl-elim :args (@t39 @t76)) % 34.15/34.32 (step @p104 :rule cong :premises (@p103) :args (@t77)) % 34.15/34.32 (step @p105 :rule eq_resolve :premises (@p44 @p104)) % 34.15/34.32 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t116 @t116 @t120 @t116))) % 34.15/34.32 (step @p107 :rule eq-symm :args (@t61 @t39)) % 34.15/34.32 (step @p108 :rule cong :premises (@p107) :args (@t85)) % 34.15/34.32 (step @p109 :rule eq_resolve :premises (@p49 @p108)) % 34.15/34.32 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t116 @t116 @t120))) % 34.15/34.32 (step @p111 :rule aci_norm :args ((= (or @t146 @t55) (or @t145 @t144 @t55)))) % 34.15/34.32 (step @p112 :rule refl :args (@t55)) % 34.15/34.32 (step @p113 :rule bool-and-de-morgan :args (@t57 @t56 true)) % 34.15/34.32 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t147 @t55))) % 34.15/34.32 (step @p115 :rule trans :premises (@p114 @p111)) % 34.15/34.32 (step @p116 :rule bool-impl-elim :args (@t58 @t55)) % 34.15/34.32 (step @p117 :rule trans :premises (@p116 @p115)) % 34.15/34.32 (step @p118 :rule cong :premises (@p117) :args (@t60)) % 34.15/34.32 (step @p119 :rule eq_resolve :premises (@p17 @p118)) % 34.15/34.32 (step @p120 :rule instantiate :premises (@p119) :args (@t148)) % 34.15/34.32 (step @p121 :rule bool-impl-elim :args (@t61 @t19)) % 34.15/34.32 (step @p122 :rule cong :premises (@p121) :args (@t62)) % 34.15/34.32 (step @p123 :rule eq_resolve :premises (@p18 @p122)) % 34.15/34.32 (step @p124 :rule instantiate :premises (@p123) :args (@t149)) % 34.15/34.32 (step @p125 :rule bool-impl-elim :args (@t39 @t51)) % 34.15/34.32 (step @p126 :rule cong :premises (@p125) :args (@t52)) % 34.15/34.32 (step @p127 :rule eq_resolve :premises (@p16 @p126)) % 34.15/34.32 (step @p128 :rule instantiate :premises (@p127) :args (@t150)) % 34.15/34.32 (step @p129 :rule eq-symm :args (@t151 @t139)) % 34.15/34.32 (step @p130 :rule refl :args (@t152)) % 34.15/34.32 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t152 @t153))) % 34.15/34.32 (assume-push @p595 @t152) % 34.15/34.32 (step @p133 :rule instantiate :premises (@p109) :args (@t150)) % 34.15/34.32 (step-pop @p596 :rule scope :premises (@p133)) % 34.15/34.32 (step @p134 :rule process_scope :premises (@p596) :args (@t153)) % 34.15/34.32 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 34.15/34.32 (step @p137 :rule implies_elim :premises (@p136)) % 34.15/34.32 (step @p138 :rule chain_m_resolution :premises (@p137 @p109) :args (@t154 @t126 (@list @t152))) % 34.15/34.32 (step @p139 :rule bool-double-not-elim :args (@t139)) % 34.15/34.32 (step @p140 :rule refl :args (@t141)) % 34.15/34.32 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t141 (not @t140)))) % 34.15/34.32 (step @p142 :rule cnf_or_neg :args (@t141 0)) % 34.15/34.32 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 34.15/34.32 (step @p144 :rule reordering :premises (@p143) :args ((or @t139 @t141))) % 34.15/34.32 (step @p145 :rule chain_m_resolution :premises (@p144 @p99) :args (@t139 @t142 @t143)) % 34.15/34.32 (step @p146 :rule cnf_equiv_pos1 :args (@t154)) % 34.15/34.32 (step @p147 :rule reordering :premises (@p146) :args ((or @t140 @t151 (not @t154)))) % 34.15/34.32 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p138) :args (@t151 @t155 (@list @t139 @t154))) % 34.15/34.32 (step @p149 :rule cnf_or_pos :args (@t158)) % 34.15/34.32 (step @p150 :rule reordering 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(step @p341 :rule cnf_and_neg :args (@t208)) % 34.15/34.32 (step @p342 :rule reordering :premises (@p341) :args ((or @t243 (not @t206) @t208))) % 34.15/34.32 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p237) :args (@t243 @t244 (@list @t206 @t208))) % 34.15/34.32 (step @p344 :rule cnf_equiv_pos2 :args (@t245)) % 34.15/34.32 (step @p345 :rule reordering :premises (@p344) :args ((or @t207 @t246 (not @t245)))) % 34.15/34.32 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p93) :args (@t246 @t211 (@list @t207 @t245))) % 34.15/34.32 (step @p347 :rule skolemize :premises (@p346)) % 34.15/34.32 (step @p348 :rule cnf_or_neg :args (@t250 1)) % 34.15/34.32 (step @p349 :rule chain_m_resolution :premises (@p348 @p347) :args ((not @t247) @t142 @t251)) % 34.15/34.32 (step @p350 :rule false_intro :premises (@p349)) % 34.15/34.32 (step @p351 :rule cong :premises (@p181 @p169) :args (@t171)) % 34.15/34.32 (step @p352 :rule trans :premises (@p167 @p351 @p220)) % 34.15/34.32 (step @p353 :rule refl :args (@t136)) % 34.15/34.32 (step @p354 :rule cong :premises (@p353 @p352) :args (@t252)) % 34.15/34.32 (step @p355 :rule trans :premises (@p354 @p350)) % 34.15/34.32 (step @p356 :rule false_elim :premises (@p355)) % 34.15/34.32 (step @p357 :rule cnf_and_pos :args (@t253 1)) % 34.15/34.32 (step @p358 :rule reordering :premises (@p357) :args ((or @t252 @t254))) % 34.15/34.32 (step @p359 :rule chain_m_resolution :premises (@p358 @p356) :args (@t254 @t142 (@list @t252))) % 34.15/34.32 (step @p360 :rule cnf_equiv_pos1 :args (@t256)) % 34.15/34.32 (step @p361 :rule reordering :premises (@p360) :args ((or @t253 @t257 (not @t256)))) % 34.15/34.32 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p92) :args (@t257 @t211 (@list @t253 @t256))) % 34.15/34.32 (step @p363 :rule quant-merge-prenex :args ((= (forall @t8 @t263) (forall (@list @t3 @t1 @t2 @t258) @t261)))) % 34.15/34.32 (step @p364 :rule alpha_equiv :args (@t264 (@list @t258) (@list @t34))) % 34.15/34.32 (step @p365 :rule refl :args (@t260)) % 34.15/34.32 (step @p366 :rule nary_cong :premises (@p365 @p364) :args (@t265)) % 34.15/34.32 (step @p367 :rule quant-miniscope-or :args ((= @t263 @t265))) % 34.15/34.32 (step @p368 :rule trans :premises (@p367 @p366)) % 34.15/34.32 (step @p369 :rule symm :premises (@p368)) % 34.15/34.32 (step @p370 :rule cong :premises (@p369) :args ((forall @t8 (or @t260 @t107)))) % 34.15/34.32 (step @p371 :rule trans :premises (@p370 @p363)) % 34.15/34.32 (step @p372 :rule bool-impl-elim :args (@t19 @t107)) % 34.15/34.32 (step @p373 :rule cong :premises (@p372) :args (@t108)) % 34.15/34.32 (step @p374 :rule trans :premises (@p373 @p371)) % 34.15/34.32 (step @p375 :rule eq_resolve :premises (@p60 @p374)) % 34.15/34.32 (step @p376 :rule instantiate :premises (@p375) :args ((@list @t116 @t118 @t117 @t118))) % 34.15/34.32 (step @p377 :rule cnf_or_pos :args (@t271)) % 34.15/34.32 (step @p378 :rule reordering :premises (@p377) :args ((or @t166 @t270 (not @t271)))) % 34.15/34.32 (step @p379 :rule chain_m_resolution :premises (@p378 @p158 @p376) :args (@t270 @t155 (@list @t162 @t271))) % 34.15/34.32 (step @p380 :rule bool-double-not-elim :args (@t248)) % 34.15/34.32 (step @p381 :rule refl :args (@t250)) % 34.15/34.32 (step @p382 :rule nary_cong :premises (@p381 @p380) :args ((or @t250 (not @t249)))) % 34.15/34.32 (step @p383 :rule cnf_or_neg :args (@t250 0)) % 34.15/34.32 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 34.15/34.32 (step @p385 :rule reordering :premises (@p384) :args ((or @t248 @t250))) % 34.15/34.32 (step @p386 :rule chain_m_resolution :premises (@p385 @p347) :args (@t248 @t142 @t251)) % 34.15/34.32 (step @p387 :rule bool-impl-elim :args (@t39 @t81)) % 34.15/34.32 (step @p388 :rule cong :premises (@p387) :args (@t82)) % 34.15/34.32 (step @p389 :rule eq_resolve :premises (@p47 @p388)) % 34.15/34.32 (step @p390 :rule instantiate :premises (@p389) :args (@t150)) % 34.15/34.32 (step @p391 :rule cnf_or_pos :args (@t273)) % 34.15/34.32 (step @p392 :rule reordering :premises (@p391) :args ((or @t157 @t272 (not @t273)))) % 34.15/34.32 (step @p393 :rule chain_m_resolution :premises (@p392 @p148 @p390) :args (@t272 @t155 (@list @t151 @t273))) % 34.15/34.32 (step @p394 :rule bool-double-not-elim :args (@t255)) % 34.15/34.32 (step @p395 :rule refl :args (@t275)) % 34.15/34.32 (step @p396 :rule refl :args (@t276)) % 34.15/34.32 (step @p397 :rule refl :args (@t249)) % 34.15/34.32 (step @p398 :rule refl :args (@t277)) % 34.15/34.32 (step @p399 :rule refl :args (@t278)) % 34.15/34.32 (step @p400 :rule refl :args (@t279)) % 34.15/34.32 (step @p401 :rule refl :args (@t280)) % 34.15/34.32 (step @p402 :rule refl :args (@t281)) % 34.15/34.32 (step @p403 :rule refl :args (@t282)) % 34.15/34.32 (step @p404 :rule refl :args (@t283)) % 34.15/34.32 (step @p405 :rule nary_cong :premises (@p404 @p403 @p402 @p401 @p400 @p399 @p398 @p397 @p396 @p395 @p394) :args ((or @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t249 @t276 @t275 (not @t257)))) % 34.15/34.32 (assume-push @p601 @t248) % 34.15/34.32 (assume-push @p602 @t272) % 34.15/34.32 (assume-push @p603 @t270) % 34.15/34.32 (assume-push @p604 @t235) % 34.15/34.32 (assume-push @p605 @t238) % 34.15/34.32 (assume-push @p606 @t274) % 34.15/34.32 (assume-push @p607 @t202) % 34.15/34.32 (assume-push @p608 @t196) % 34.15/34.32 (assume-push @p609 @t176) % 34.15/34.32 (assume-push @p610 @t172) % 34.15/34.32 (assume-push @p611 @t257) % 34.15/34.32 (step @p417 :rule evaluate :args ((= false true))) % 34.15/34.32 (step @p418 :rule true_intro :premises (@p386)) % 34.15/34.32 (step @p419 :rule symm :premises (@p393)) % 34.15/34.32 (step @p420 :rule cong :premises (@p419 @p272) :args (@t269)) % 34.15/34.32 (step @p421 :rule symm :premises (@p379)) % 34.15/34.32 (step @p422 :rule trans :premises (@p333 @p328)) % 34.15/34.32 (step @p423 :rule cong :premises (@p272 @p422) :args (@t128)) % 34.15/34.32 (step @p424 :rule cong :premises (@p393 @p423) :args (@t129)) % 34.15/34.32 (step @p425 :rule symm :premises (@p606)) % 34.15/34.32 (step @p426 :rule cong :premises (@p230 @p352) :args (@t123)) % 34.15/34.32 (step @p427 :rule trans :premises (@p426 @p425 @p424 @p421 @p420)) % 34.15/34.32 (step @p428 :rule cong :premises (@p353 @p427) :args (@t255)) % 34.15/34.32 (step @p429 :rule false_intro :premises (@p362)) % 34.15/34.32 (step @p430 :rule symm :premises (@p429)) % 34.15/34.32 (step @p431 :rule trans :premises (@p430 @p428 @p418)) % 34.15/34.32 (step @p432 false :rule eq_resolve :premises (@p431 @p417)) % 34.15/34.32 (step-pop @p612 :rule scope :premises (@p432)) % 34.15/34.32 (step-pop @p613 :rule scope :premises (@p612)) % 34.15/34.32 (step-pop @p614 :rule scope :premises (@p613)) % 34.15/34.32 (step-pop @p615 :rule scope :premises (@p614)) % 34.15/34.32 (step-pop @p616 :rule scope :premises (@p615)) % 34.15/34.32 (step-pop @p617 :rule scope :premises (@p616)) % 34.15/34.32 (step-pop @p618 :rule scope :premises (@p617)) % 34.15/34.32 (step-pop @p619 :rule scope :premises (@p618)) % 34.15/34.32 (step-pop @p620 :rule scope :premises (@p619)) % 34.15/34.32 (step-pop @p621 :rule scope :premises (@p620)) % 34.15/34.32 (step-pop @p622 :rule scope :premises (@p621)) % 34.15/34.32 (step @p433 :rule process_scope :premises (@p622) :args (false)) % 34.15/34.32 (assume-push @p623 @t202) % 34.15/34.32 (assume-push @p624 @t172) % 34.15/34.32 (assume-push @p625 @t272) % 34.15/34.32 (assume-push @p626 @t176) % 34.15/34.32 (assume-push @p627 @t235) % 34.15/34.32 (assume-push @p628 @t238) % 34.15/34.32 (assume-push @p629 @t196) % 34.15/34.32 (assume-push @p630 @t248) % 34.15/34.32 (assume-push @p631 @t270) % 34.15/34.32 (assume-push @p632 @t274) % 34.15/34.32 (assume-push @p633 @t257) % 34.15/34.32 (step @p456 :rule and_intro :premises (@p386 @p393 @p379 @p327 @p332 @p632 @p230 @p220 @p181 @p167 @p362)) % 34.15/34.32 (step-pop @p634 :rule scope :premises (@p456)) % 34.15/34.32 (step-pop @p635 :rule scope :premises (@p634)) % 34.15/34.32 (step-pop @p636 :rule scope :premises (@p635)) % 34.15/34.32 (step-pop @p637 :rule scope :premises (@p636)) % 34.15/34.32 (step-pop @p638 :rule scope :premises (@p637)) % 34.15/34.32 (step-pop @p639 :rule scope :premises (@p638)) % 34.15/34.32 (step-pop @p640 :rule scope :premises (@p639)) % 34.15/34.32 (step-pop @p641 :rule scope :premises (@p640)) % 34.15/34.32 (step-pop @p642 :rule scope :premises (@p641)) % 34.15/34.32 (step-pop @p643 :rule scope :premises (@p642)) % 34.15/34.32 (step-pop @p644 :rule scope :premises (@p643)) % 34.15/34.32 (step @p457 :rule process_scope :premises (@p644) :args (@t284)) % 34.15/34.32 (step @p469 :rule implies_elim :premises (@p457)) % 34.15/34.32 (step @p470 :rule resolution :premises (@p469 @p433) :args (true @t284)) % 34.15/34.32 (step @p471 :rule not_and :premises (@p470)) % 34.15/34.32 (step @p472 :rule eq_resolve :premises (@p471 @p405)) % 34.15/34.32 (step @p473 :rule chain_m_resolution :premises (@p472 @p230 @p167 @p393 @p181 @p327 @p332 @p220 @p386 @p379 @p362) :args (@t275 (@list false false false false false false false false false true) (@list @t202 @t172 @t272 @t176 @t235 @t238 @t196 @t248 @t270 @t255))) % 34.15/34.32 (step @p474 :rule cnf_equiv_pos2 :args (@t288)) % 34.15/34.32 (step @p475 :rule reordering :premises (@p474) :args ((or @t274 @t289 (not @t288)))) % 34.15/34.32 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p91) :args (@t289 @t211 (@list @t274 @t288))) % 34.15/34.32 (step @p477 :rule bool-impl-elim :args (@t16 @t88)) % 34.15/34.32 (step @p478 :rule cong :premises (@p477) :args (@t89)) % 34.15/34.32 (step @p479 :rule eq_resolve :premises (@p51 @p478)) % 34.15/34.32 (step @p480 :rule instantiate :premises (@p479) :args ((@list @t118 @t127 @t119))) % 34.15/34.32 (step @p481 :rule cnf_or_pos :args (@t290)) % 34.15/34.32 (step @p482 :rule reordering :premises (@p481) :args ((or @t197 @t286 (not @t290)))) % 34.15/34.32 (step @p483 :rule chain_m_resolution :premises (@p482 @p213 @p480) :args (@t286 @t155 (@list @t192 @t290))) % 34.15/34.32 (step @p484 :rule cnf_and_neg :args (@t287)) % 34.15/34.32 (step @p485 :rule reordering :premises (@p484) :args ((or (not @t286) @t287 @t291))) % 34.15/34.32 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p476) :args (@t291 @t244 (@list @t286 @t287))) % 34.15/34.32 (step @p487 :rule cnf_equiv_pos2 :args (@t292)) % 34.15/34.32 (step @p488 :rule reordering :premises (@p487) :args ((or @t285 @t293 (not @t292)))) % 34.15/34.32 (step @p489 :rule chain_m_resolution :premises (@p488 @p486 @p90) :args (@t293 @t211 (@list @t285 @t292))) % 34.15/34.32 (step @p490 :rule refl :args (@t298)) % 34.15/34.32 (step @p491 :rule bool-double-not-elim :args (@t133)) % 34.15/34.32 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or (not @t293) @t298))) % 34.15/34.32 (assume-push @p645 @t293) % 34.15/34.32 (step @p494 :rule skolemize :premises (@p645)) % 34.15/34.32 (step-pop @p646 :rule scope :premises (@p494)) % 34.15/34.32 (step @p495 :rule process_scope :premises (@p646) :args (@t298)) % 34.15/34.32 (step @p497 :rule implies_elim :premises (@p495)) % 34.15/34.32 (step @p498 :rule eq_resolve :premises (@p497 @p492)) % 34.15/34.32 (step @p499 :rule chain_m_resolution :premises (@p498 @p489) :args (@t298 @t142 (@list @t133))) % 34.15/34.32 (step @p500 :rule bool-double-not-elim :args (@t295)) % 34.15/34.32 (step @p501 :rule refl :args (@t297)) % 34.15/34.32 (step @p502 :rule nary_cong :premises (@p501 @p500) :args ((or @t297 (not @t296)))) % 34.15/34.32 (step @p503 :rule cnf_or_neg :args (@t297 0)) % 34.15/34.32 (step @p504 :rule eq_resolve :premises (@p503 @p502)) % 34.15/34.32 (step @p505 :rule reordering :premises (@p504) :args ((or @t295 @t297))) % 34.15/34.32 (step @p506 :rule chain_m_resolution :premises (@p505 @p499) :args (@t295 @t142 @t299)) % 34.15/34.32 (assume-push @p647 @t202) % 34.15/34.32 (assume-push @p648 @t172) % 34.15/34.32 (assume-push @p649 @t176) % 34.15/34.32 (assume-push @p650 @t196) % 34.15/34.32 (assume-push @p651 @t295) % 34.15/34.32 (assume-push @p652 @t295) % 34.15/34.32 (assume-push @p653 @t202) % 34.15/34.32 (assume-push @p654 @t196) % 34.15/34.32 (assume-push @p655 @t176) % 34.15/34.32 (assume-push @p656 @t172) % 34.15/34.32 (step @p517 :rule true_intro :premises (@p651)) % 34.15/34.32 (step @p426 :rule cong :premises (@p230 @p352) :args (@t123)) % 34.15/34.32 (step @p518 :rule refl :args (@t134)) % 34.15/34.32 (step @p519 :rule cong :premises (@p518 @p426) :args (@t300)) % 34.15/34.32 (step @p520 :rule trans :premises (@p519 @p517)) % 34.15/34.32 (step @p521 :rule true_elim :premises (@p520)) % 34.15/34.32 (step-pop @p657 :rule scope :premises (@p521)) % 34.15/34.32 (step-pop @p658 :rule scope :premises (@p657)) % 34.15/34.32 (step-pop @p659 :rule scope :premises (@p658)) % 34.15/34.32 (step-pop @p660 :rule scope :premises (@p659)) % 34.15/34.32 (step-pop @p661 :rule scope :premises (@p660)) % 34.15/34.32 (step @p522 :rule process_scope :premises (@p661) :args (@t300)) % 34.15/34.32 (step @p528 :rule and_intro :premises (@p651 @p230 @p220 @p181 @p167)) % 34.15/34.32 (step @p529 :rule modus_ponens :premises (@p528 @p522)) % 34.15/34.32 (step-pop @p662 :rule scope :premises (@p529)) % 34.15/34.32 (step-pop @p663 :rule scope :premises (@p662)) % 34.15/34.32 (step-pop @p664 :rule scope :premises (@p663)) % 34.15/34.32 (step-pop @p665 :rule scope :premises (@p664)) % 34.15/34.32 (step-pop @p666 :rule scope :premises (@p665)) % 34.15/34.32 (step @p530 :rule process_scope :premises (@p666) :args (@t300)) % 34.15/34.32 (step @p536 :rule implies_elim :premises (@p530)) % 34.15/34.32 (step @p537 :rule cnf_and_neg :args (@t301)) % 34.15/34.32 (step @p538 :rule resolution :premises (@p537 @p536) :args (true @t301)) % 34.15/34.32 (step @p539 :rule chain_m_resolution :premises (@p538 @p230 @p167 @p181 @p220 @p506) :args (@t300 (@list false false false false false) (@list @t202 @t172 @t176 @t196 @t295))) % 34.15/34.32 (step @p540 :rule cnf_or_neg :args (@t297 1)) % 34.15/34.32 (step @p541 :rule chain_m_resolution :premises (@p540 @p499) :args (@t302 @t142 @t299)) % 34.15/34.32 (step @p542 :rule refl :args (@t304)) % 34.15/34.32 (step @p543 :rule bool-double-not-elim :args (@t294)) % 34.15/34.32 (step @p544 :rule nary_cong :premises (@p404 @p402 @p400 @p399 @p396 @p543 @p542) :args ((or @t283 @t281 @t279 @t278 @t276 (not @t302) @t304))) % 34.15/34.32 (assume-push @p667 @t202) % 34.15/34.32 (assume-push @p668 @t272) % 34.15/34.32 (assume-push @p669 @t235) % 34.15/34.32 (assume-push @p670 @t238) % 34.15/34.32 (assume-push @p671 @t270) % 34.15/34.32 (assume-push @p672 @t302) % 34.15/34.32 (assume-push @p673 @t302) % 34.15/34.32 (assume-push @p674 @t272) % 34.15/34.32 (assume-push @p675 @t238) % 34.15/34.32 (assume-push @p676 @t235) % 34.15/34.32 (assume-push @p677 @t270) % 34.15/34.32 (assume-push @p678 @t202) % 34.15/34.32 (step @p557 :rule false_intro :premises (@p672)) % 34.15/34.32 (step @p558 :rule trans :premises (@p327 @p332)) % 34.15/34.32 (step @p559 :rule cong :premises (@p272 @p558) :args (@t266)) % 34.15/34.32 (step @p419 :rule symm :premises (@p393)) % 34.15/34.32 (step @p560 :rule cong :premises (@p419 @p559) :args (@t268)) % 34.15/34.32 (step @p561 :rule cong :premises (@p393 @p272) :args (@t131)) % 34.15/34.32 (step @p562 :rule trans :premises (@p230 @p561 @p379 @p560)) % 34.15/34.32 (step @p518 :rule refl :args (@t134)) % 34.15/34.32 (step @p563 :rule cong :premises (@p518 @p562) :args (@t303)) % 34.15/34.32 (step @p564 :rule trans :premises (@p563 @p557)) % 34.15/34.32 (step @p565 :rule false_elim :premises (@p564)) % 34.15/34.32 (step-pop @p679 :rule scope :premises (@p565)) % 34.15/34.32 (step-pop @p680 :rule scope :premises (@p679)) % 34.15/34.32 (step-pop @p681 :rule scope :premises (@p680)) % 34.15/34.32 (step-pop @p682 :rule scope :premises (@p681)) % 34.15/34.32 (step-pop @p683 :rule scope :premises (@p682)) % 34.15/34.32 (step-pop @p684 :rule scope :premises (@p683)) % 34.15/34.32 (step @p566 :rule process_scope :premises (@p684) :args (@t304)) % 34.15/34.32 (step @p573 :rule and_intro :premises (@p672 @p393 @p332 @p327 @p379 @p230)) % 34.15/34.32 (step @p574 :rule modus_ponens :premises (@p573 @p566)) % 34.15/34.32 (step-pop @p685 :rule scope :premises (@p574)) % 34.15/34.32 (step-pop @p686 :rule scope :premises (@p685)) % 34.15/34.32 (step-pop @p687 :rule scope :premises (@p686)) % 34.15/34.32 (step-pop @p688 :rule scope :premises (@p687)) % 34.15/34.32 (step-pop @p689 :rule scope :premises (@p688)) % 34.15/34.32 (step-pop @p690 :rule scope :premises (@p689)) % 34.15/34.32 (step @p575 :rule process_scope :premises (@p690) :args (@t304)) % 34.15/34.32 (step @p582 :rule implies_elim :premises (@p575)) % 34.15/34.32 (step @p583 :rule cnf_and_neg :args (@t305)) % 34.15/34.32 (step @p584 :rule resolution :premises (@p583 @p582) :args (true @t305)) % 34.15/34.32 (step @p585 :rule eq_resolve :premises (@p584 @p544)) % 34.15/34.32 (step @p586 :rule chain_m_resolution :premises (@p585 @p230 @p393 @p327 @p332 @p379 @p541) :args (@t304 (@list false false false false false true) (@list @t202 @t272 @t235 @t238 @t270 @t294))) % 34.15/34.32 (step @p587 :rule cnf_and_pos :args (@t306 0)) % 34.15/34.32 (step @p588 :rule reordering :premises (@p587) :args ((or @t303 @t307))) % 34.15/34.32 (step @p589 :rule chain_m_resolution :premises (@p588 @p586) :args (@t307 @t142 (@list @t303))) % 34.15/34.32 (step @p590 :rule cnf_equiv_pos1 :args (@t308)) % 34.15/34.32 (step @p591 :rule reordering :premises (@p590) :args ((or @t306 (not @t300) (not @t308)))) % 34.15/34.32 (step @p592 false :rule chain_m_resolution :premises (@p591 @p589 @p539 @p83) :args (false (@list true false false) (@list @t306 @t300 @t308))) % 34.15/34.32 ) % 34.15/34.32 % SZS output end Proof % 34.15/34.32 % cvc5 exiting %------------------------------------------------------------------------------