%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU450+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:51:51 AM UTC 2026 % Result : Theorem 0.85s 1.05s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU450+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:34:43 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.05 % SZS status Theorem % 0.85/1.05 % SZS output start Proof % 0.85/1.05 ( % 0.85/1.05 (declare-sort $$unsorted 0) % 0.85/1.05 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.85/1.05 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.85/1.05 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.05 (define @t1 () (@var "E" $$unsorted)) % 0.85/1.05 (define @t2 () (@var "B" $$unsorted)) % 0.85/1.05 (define @t3 () (@var "A" $$unsorted)) % 0.85/1.05 (define @t4 () (tptp.k6_relset_1 @t3 @t2 @t1)) % 0.85/1.05 (define @t5 () (@var "D" $$unsorted)) % 0.85/1.05 (define @t6 () (tptp.k8_relset_2 @t2 @t3 @t5 @t4)) % 0.85/1.05 (define @t7 () (@var "C" $$unsorted)) % 0.85/1.05 (define @t8 () (tptp.k8_relset_2 @t3 @t2 @t7 @t1)) % 0.85/1.05 (define @t9 () (and (= @t8 (tptp.k8_relset_2 @t3 @t2 (tptp.k8_relset_2 @t2 @t3 @t8 @t4) @t1)) (= @t6 (tptp.k8_relset_2 @t2 @t3 (tptp.k8_relset_2 @t3 @t2 @t6 @t1) @t4)))) % 0.85/1.05 (define @t10 () (tptp.m2_relset_1 @t1 @t3 @t2)) % 0.85/1.05 (define @t11 () (@list @t1)) % 0.85/1.05 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.85/1.05 (define @t13 () (tptp.k1_zfmisc_1 @t2)) % 0.85/1.05 (define @t14 () (tptp.m1_subset_1 @t5 @t13)) % 0.85/1.05 (define @t15 () (=> @t14 @t12)) % 0.85/1.05 (define @t16 () (@list @t5)) % 0.85/1.05 (define @t17 () (forall @t16 @t15)) % 0.85/1.05 (define @t18 () (tptp.k1_zfmisc_1 @t3)) % 0.85/1.05 (define @t19 () (tptp.m1_subset_1 @t7 @t18)) % 0.85/1.05 (define @t20 () (=> @t19 @t17)) % 0.85/1.05 (define @t21 () (@list @t3 @t2 @t7)) % 0.85/1.05 (define @t22 () (forall @t21 @t20)) % 0.85/1.05 (define @t23 () (not @t22)) % 0.85/1.05 (define @t24 () (tptp.r2_hidden @t3 @t2)) % 0.85/1.05 (define @t25 () (@list @t3 @t2)) % 0.85/1.05 (define @t26 () (tptp.v1_relat_1 @t3)) % 0.85/1.05 (define @t27 () (tptp.v1_xboole_0 @t3)) % 0.85/1.05 (define @t28 () (@list @t3)) % 0.85/1.05 (define @t29 () (tptp.v1_relat_1 @t7)) % 0.85/1.05 (define @t30 () (tptp.k2_zfmisc_1 @t3 @t2)) % 0.85/1.05 (define @t31 () (tptp.k1_zfmisc_1 @t30)) % 0.85/1.05 (define @t32 () (tptp.m1_subset_1 @t7 @t31)) % 0.85/1.05 (define @t33 () (forall @t21 (=> @t32 @t29))) % 0.85/1.05 (define @t34 () (tptp.r1_tarski @t3 @t2)) % 0.85/1.05 (define @t35 () (= @t3 @t2)) % 0.85/1.05 (define @t36 () (forall @t25 (= @t35 (and @t34 (tptp.r1_tarski @t2 @t3))))) % 0.85/1.05 (define @t37 () (tptp.k7_relset_2 @t3 @t2 @t7 @t5)) % 0.85/1.05 (define @t38 () (tptp.m1_subset_1 @t5 @t31)) % 0.85/1.05 (define @t39 () (tptp.k4_relat_1 @t3)) % 0.85/1.05 (define @t40 () (tptp.v1_relat_1 @t39)) % 0.85/1.05 (define @t41 () (tptp.k4_relset_2 @t3 @t2 @t7 @t5)) % 0.85/1.05 (define @t42 () (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t3 @t13)))) % 0.85/1.05 (define @t43 () (@list @t3 @t2 @t7 @t5)) % 0.85/1.05 (define @t44 () (tptp.k5_relset_2 @t3 @t2)) % 0.85/1.05 (define @t45 () (tptp.k6_relset_1 @t3 @t2 @t7)) % 0.85/1.05 (define @t46 () (tptp.m2_relset_1 @t45 @t2 @t3)) % 0.85/1.05 (define @t47 () (tptp.m1_relset_1 @t7 @t3 @t2)) % 0.85/1.05 (define @t48 () (forall @t21 (=> @t47 @t46))) % 0.85/1.05 (define @t49 () (tptp.k6_relset_2 @t3 @t2 @t7)) % 0.85/1.05 (define @t50 () (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t2 @t3)))) % 0.85/1.05 (define @t51 () (tptp.k8_relset_2 @t3 @t2 @t7 @t5)) % 0.85/1.05 (define @t52 () (tptp.m1_subset_1 @t51 @t13)) % 0.85/1.05 (define @t53 () (and @t19 @t38)) % 0.85/1.05 (define @t54 () (forall @t43 (=> @t53 @t52))) % 0.85/1.05 (define @t55 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t18))) % 0.85/1.05 (define @t56 () (tptp.m1_eqrel_1 @t2 @t3)) % 0.85/1.05 (define @t57 () (tptp.m2_relset_1 @t7 @t3 @t2)) % 0.85/1.05 (define @t58 () (forall @t21 (=> @t57 @t32))) % 0.85/1.05 (define @t59 () (@list @t2)) % 0.85/1.05 (define @t60 () (@list @t7)) % 0.85/1.05 (define @t61 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.85/1.05 (define @t62 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.85/1.05 (define @t63 () (tptp.v1_xboole_0 @t2)) % 0.85/1.05 (define @t64 () (not @t63)) % 0.85/1.05 (define @t65 () (not @t27)) % 0.85/1.05 (define @t66 () (tptp.k4_relat_1 @t39)) % 0.85/1.05 (define @t67 () (=> @t26 (= @t66 @t3))) % 0.85/1.05 (define @t68 () (forall @t28 @t67)) % 0.85/1.05 (define @t69 () (tptp.m1_subset_1 @t2 @t18)) % 0.85/1.05 (define @t70 () (= @t45 (tptp.k4_relat_1 @t7))) % 0.85/1.05 (define @t71 () (forall @t21 (=> @t47 @t70))) % 0.85/1.05 (define @t72 () (forall @t21 (= @t57 @t47))) % 0.85/1.05 (define @t73 () (tptp.m1_subset_1 @t3 @t2)) % 0.85/1.05 (define @t74 () (tptp.r1_tarski (tptp.k8_relset_2 @t3 @t2 @t5 @t1) @t8)) % 0.85/1.05 (define @t75 () (tptp.r1_tarski @t7 @t5)) % 0.85/1.05 (define @t76 () (=> @t75 @t74)) % 0.85/1.05 (define @t77 () (tptp.m1_subset_1 @t1 @t31)) % 0.85/1.05 (define @t78 () (forall @t11 (=> @t77 @t76))) % 0.85/1.05 (define @t79 () (tptp.m1_subset_1 @t5 @t18)) % 0.85/1.05 (define @t80 () (=> @t79 @t78)) % 0.85/1.05 (define @t81 () (forall @t16 @t80)) % 0.85/1.05 (define @t82 () (=> @t19 @t81)) % 0.85/1.05 (define @t83 () (forall @t21 @t82)) % 0.85/1.05 (define @t84 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t7))) % 0.85/1.05 (define @t85 () (= (tptp.r1_tarski @t7 @t6) (tptp.r1_tarski @t5 @t8))) % 0.85/1.05 (define @t86 () (forall @t11 (=> @t10 @t85))) % 0.85/1.05 (define @t87 () (=> @t14 @t86)) % 0.85/1.05 (define @t88 () (forall @t16 @t87)) % 0.85/1.05 (define @t89 () (=> @t19 @t88)) % 0.85/1.05 (define @t90 () (forall @t21 @t89)) % 0.85/1.05 (define @t91 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 0.85/1.05 (define @t92 () (tptp.k6_relset_1 @t3 @t2 @t91)) % 0.85/1.05 (define @t93 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 0.85/1.05 (define @t94 () (tptp.k8_relset_2 @t2 @t3 @t93 @t92)) % 0.85/1.05 (define @t95 () (tptp.k8_relset_2 @t3 @t2 @t7 @t91)) % 0.85/1.05 (define @t96 () (and (= @t95 (tptp.k8_relset_2 @t3 @t2 (tptp.k8_relset_2 @t2 @t3 @t95 @t92) @t91)) (= @t94 (tptp.k8_relset_2 @t2 @t3 (tptp.k8_relset_2 @t3 @t2 @t94 @t91) @t92)))) % 0.85/1.05 (define @t97 () (not (tptp.m2_relset_1 @t91 @t3 @t2))) % 0.85/1.05 (define @t98 () (not (tptp.m1_subset_1 @t93 @t13))) % 0.85/1.05 (define @t99 () (not @t19)) % 0.85/1.05 (define @t100 () (or @t99 @t98 @t97 @t96)) % 0.85/1.05 (define @t101 () (@list @t3 @t2 @t7 @t93 @t91)) % 0.85/1.05 (define @t102 () (forall @t101 @t100)) % 0.85/1.05 (define @t103 () (@quantifiers_skolemize @t102 4)) % 0.85/1.05 (define @t104 () (@quantifiers_skolemize @t102 1)) % 0.85/1.05 (define @t105 () (@quantifiers_skolemize @t102 0)) % 0.85/1.05 (define @t106 () (tptp.k6_relset_1 @t105 @t104 @t103)) % 0.85/1.05 (define @t107 () (tptp.k6_relset_1 @t104 @t105 @t106)) % 0.85/1.05 (define @t108 () (@quantifiers_skolemize @t102 2)) % 0.85/1.05 (define @t109 () (tptp.k8_relset_2 @t105 @t104 @t108 @t103)) % 0.85/1.05 (define @t110 () (tptp.k8_relset_2 @t104 @t105 @t109 @t106)) % 0.85/1.05 (define @t111 () (tptp.k8_relset_2 @t105 @t104 @t110 @t107)) % 0.85/1.05 (define @t112 () (@quantifiers_skolemize @t102 3)) % 0.85/1.05 (define @t113 () (tptp.k8_relset_2 @t104 @t105 @t112 @t106)) % 0.85/1.05 (define @t114 () (tptp.k8_relset_2 @t105 @t104 @t113 @t103)) % 0.85/1.05 (define @t115 () (tptp.k8_relset_2 @t104 @t105 @t114 @t106)) % 0.85/1.05 (define @t116 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 0.85/1.05 (define @t117 () (@var "BOUND_VARIABLE_7962" $$unsorted)) % 0.85/1.05 (define @t118 () (tptp.r1_tarski (tptp.k8_relset_2 @t3 @t2 @t117 @t116) (tptp.k8_relset_2 @t3 @t2 @t7 @t116))) % 0.85/1.05 (define @t119 () (not (tptp.m1_subset_1 @t116 @t31))) % 0.85/1.05 (define @t120 () (not (tptp.r1_tarski @t7 @t117))) % 0.85/1.05 (define @t121 () (not (tptp.m1_subset_1 @t117 @t18))) % 0.85/1.05 (define @t122 () (or @t121 @t120 @t119 @t118)) % 0.85/1.05 (define @t123 () (or @t99 @t122)) % 0.85/1.05 (define @t124 () (forall (@list @t3 @t2 @t7 @t117 @t116) @t123)) % 0.85/1.05 (define @t125 () (@list @t117 @t116)) % 0.85/1.05 (define @t126 () (forall @t125 @t123)) % 0.85/1.05 (define @t127 () (forall @t125 @t122)) % 0.85/1.05 (define @t128 () (@var "BOUND_VARIABLE_7945" $$unsorted)) % 0.85/1.05 (define @t129 () (or @t99 @t127)) % 0.85/1.05 (define @t130 () (tptp.r1_tarski (tptp.k8_relset_2 @t3 @t2 @t5 @t128) (tptp.k8_relset_2 @t3 @t2 @t7 @t128))) % 0.85/1.05 (define @t131 () (not (tptp.m1_subset_1 @t128 @t31))) % 0.85/1.05 (define @t132 () (not @t75)) % 0.85/1.05 (define @t133 () (not @t79)) % 0.85/1.05 (define @t134 () (or @t133 @t132 @t131 @t130)) % 0.85/1.05 (define @t135 () (@list @t5 @t128)) % 0.85/1.05 (define @t136 () (forall @t135 @t134)) % 0.85/1.05 (define @t137 () (or @t131 @t130)) % 0.85/1.05 (define @t138 () (or @t133 @t132 @t137)) % 0.85/1.05 (define @t139 () (forall @t135 @t138)) % 0.85/1.05 (define @t140 () (@list @t128)) % 0.85/1.05 (define @t141 () (forall @t140 @t138)) % 0.85/1.05 (define @t142 () (forall @t140 @t137)) % 0.85/1.05 (define @t143 () (@list @t1)) % 0.85/1.05 (define @t144 () (or @t133 @t132 @t142)) % 0.85/1.05 (define @t145 () (not @t77)) % 0.85/1.05 (define @t146 () (or @t145 @t74)) % 0.85/1.05 (define @t147 () (forall @t11 @t146)) % 0.85/1.05 (define @t148 () (or @t133 @t132 @t147)) % 0.85/1.05 (define @t149 () (or @t132 @t147)) % 0.85/1.05 (define @t150 () (or @t132 @t146)) % 0.85/1.05 (define @t151 () (or @t145 @t132 @t74)) % 0.85/1.05 (define @t152 () (@var "BOUND_VARIABLE_8023" $$unsorted)) % 0.85/1.05 (define @t153 () (@var "BOUND_VARIABLE_8021" $$unsorted)) % 0.85/1.05 (define @t154 () (= (tptp.r1_tarski @t7 (tptp.k8_relset_2 @t2 @t3 @t153 (tptp.k6_relset_1 @t3 @t2 @t152))) (tptp.r1_tarski @t153 (tptp.k8_relset_2 @t3 @t2 @t7 @t152)))) % 0.85/1.05 (define @t155 () (not (tptp.m2_relset_1 @t152 @t3 @t2))) % 0.85/1.05 (define @t156 () (not (tptp.m1_subset_1 @t153 @t13))) % 0.85/1.05 (define @t157 () (or @t99 @t156 @t155 @t154)) % 0.85/1.05 (define @t158 () (or @t156 @t155 @t154)) % 0.85/1.05 (define @t159 () (or @t99 @t158)) % 0.85/1.05 (define @t160 () (@list @t3 @t2 @t7 @t153 @t152)) % 0.85/1.05 (define @t161 () (forall @t160 @t159)) % 0.85/1.05 (define @t162 () (@list @t153 @t152)) % 0.85/1.05 (define @t163 () (forall @t162 @t159)) % 0.85/1.05 (define @t164 () (forall @t162 @t158)) % 0.85/1.05 (define @t165 () (@var "BOUND_VARIABLE_8001" $$unsorted)) % 0.85/1.05 (define @t166 () (or @t99 @t164)) % 0.85/1.05 (define @t167 () (= (tptp.r1_tarski @t7 (tptp.k8_relset_2 @t2 @t3 @t5 (tptp.k6_relset_1 @t3 @t2 @t165))) (tptp.r1_tarski @t5 (tptp.k8_relset_2 @t3 @t2 @t7 @t165)))) % 0.85/1.05 (define @t168 () (not (tptp.m2_relset_1 @t165 @t3 @t2))) % 0.85/1.05 (define @t169 () (not @t14)) % 0.85/1.05 (define @t170 () (or @t169 @t168 @t167)) % 0.85/1.05 (define @t171 () (@list @t5 @t165)) % 0.85/1.05 (define @t172 () (forall @t171 @t170)) % 0.85/1.05 (define @t173 () (or @t168 @t167)) % 0.85/1.05 (define @t174 () (or @t169 @t173)) % 0.85/1.05 (define @t175 () (forall @t171 @t174)) % 0.85/1.05 (define @t176 () (@list @t165)) % 0.85/1.05 (define @t177 () (forall @t176 @t174)) % 0.85/1.05 (define @t178 () (forall @t176 @t173)) % 0.85/1.05 (define @t179 () (or @t169 @t178)) % 0.85/1.05 (define @t180 () (not @t10)) % 0.85/1.05 (define @t181 () (forall @t11 (or @t180 @t85))) % 0.85/1.05 (define @t182 () (not @t38)) % 0.85/1.05 (define @t183 () (@list @t104 @t105 @t106)) % 0.85/1.05 (define @t184 () (@list @t105 @t104 @t103)) % 0.85/1.05 (define @t185 () (tptp.m1_relset_1 @t103 @t105 @t104)) % 0.85/1.05 (define @t186 () (tptp.m2_relset_1 @t103 @t105 @t104)) % 0.85/1.05 (define @t187 () (forall @t21 (= @t47 @t57))) % 0.85/1.05 (define @t188 () (= @t185 @t186)) % 0.85/1.05 (define @t189 () (= @t186 @t185)) % 0.85/1.05 (define @t190 () (@list false)) % 0.85/1.05 (define @t191 () (@list @t187)) % 0.85/1.05 (define @t192 () (or @t98 @t97 @t96)) % 0.85/1.05 (define @t193 () (or @t99 @t192)) % 0.85/1.05 (define @t194 () (forall @t101 @t193)) % 0.85/1.05 (define @t195 () (@list @t93 @t91)) % 0.85/1.05 (define @t196 () (forall @t195 @t193)) % 0.85/1.05 (define @t197 () (forall @t195 @t192)) % 0.85/1.05 (define @t198 () (@var "BOUND_VARIABLE_7694" $$unsorted)) % 0.85/1.05 (define @t199 () (or @t99 @t197)) % 0.85/1.05 (define @t200 () (tptp.k6_relset_1 @t3 @t2 @t198)) % 0.85/1.05 (define @t201 () (tptp.k8_relset_2 @t2 @t3 @t5 @t200)) % 0.85/1.05 (define @t202 () (tptp.k8_relset_2 @t3 @t2 @t7 @t198)) % 0.85/1.05 (define @t203 () (and (= @t202 (tptp.k8_relset_2 @t3 @t2 (tptp.k8_relset_2 @t2 @t3 @t202 @t200) @t198)) (= @t201 (tptp.k8_relset_2 @t2 @t3 (tptp.k8_relset_2 @t3 @t2 @t201 @t198) @t200)))) % 0.85/1.05 (define @t204 () (not (tptp.m2_relset_1 @t198 @t3 @t2))) % 0.85/1.05 (define @t205 () (or @t169 @t204 @t203)) % 0.85/1.05 (define @t206 () (@list @t5 @t198)) % 0.85/1.05 (define @t207 () (forall @t206 @t205)) % 0.85/1.05 (define @t208 () (or @t204 @t203)) % 0.85/1.05 (define @t209 () (or @t169 @t208)) % 0.85/1.05 (define @t210 () (forall @t206 @t209)) % 0.85/1.05 (define @t211 () (@list @t198)) % 0.85/1.05 (define @t212 () (forall @t211 @t209)) % 0.85/1.05 (define @t213 () (forall @t211 @t208)) % 0.85/1.05 (define @t214 () (or @t169 @t213)) % 0.85/1.05 (define @t215 () (forall @t11 (or @t180 @t9))) % 0.85/1.05 (define @t216 () (= @t113 @t115)) % 0.85/1.05 (define @t217 () (tptp.k8_relset_2 @t105 @t104 @t110 @t103)) % 0.85/1.05 (define @t218 () (= @t109 @t217)) % 0.85/1.05 (define @t219 () (and @t218 @t216)) % 0.85/1.05 (define @t220 () (not @t186)) % 0.85/1.05 (define @t221 () (tptp.k1_zfmisc_1 @t104)) % 0.85/1.05 (define @t222 () (tptp.m1_subset_1 @t112 @t221)) % 0.85/1.05 (define @t223 () (not @t222)) % 0.85/1.05 (define @t224 () (tptp.k1_zfmisc_1 @t105)) % 0.85/1.05 (define @t225 () (tptp.m1_subset_1 @t108 @t224)) % 0.85/1.05 (define @t226 () (not @t225)) % 0.85/1.05 (define @t227 () (or @t226 @t223 @t220 @t219)) % 0.85/1.05 (define @t228 () (@list true)) % 0.85/1.05 (define @t229 () (@list @t227)) % 0.85/1.05 (define @t230 () (@list false false)) % 0.85/1.05 (define @t231 () (tptp.m2_relset_1 @t106 @t104 @t105)) % 0.85/1.05 (define @t232 () (not @t185)) % 0.85/1.05 (define @t233 () (or @t232 @t231)) % 0.85/1.05 (define @t234 () (tptp.m1_subset_1 @t106 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t104 @t105)))) % 0.85/1.05 (define @t235 () (not @t231)) % 0.85/1.05 (define @t236 () (or @t235 @t234)) % 0.85/1.05 (define @t237 () (tptp.m1_subset_1 @t113 @t224)) % 0.85/1.05 (define @t238 () (not @t234)) % 0.85/1.05 (define @t239 () (or @t223 @t238 @t237)) % 0.85/1.05 (define @t240 () (@list false false false)) % 0.85/1.05 (define @t241 () (tptp.r1_tarski @t112 @t114)) % 0.85/1.05 (define @t242 () (tptp.r1_tarski @t113 @t113)) % 0.85/1.05 (define @t243 () (= @t242 @t241)) % 0.85/1.05 (define @t244 () (not @t237)) % 0.85/1.05 (define @t245 () (or @t244 @t223 @t220 @t243)) % 0.85/1.05 (define @t246 () (@list false false false false)) % 0.85/1.05 (define @t247 () (and @t242 @t242)) % 0.85/1.05 (define @t248 () (= (= @t113 @t113) @t247)) % 0.85/1.05 (define @t249 () (@list @t36)) % 0.85/1.05 (define @t250 () (not @t242)) % 0.85/1.05 (define @t251 () (tptp.m1_subset_1 @t103 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t105 @t104)))) % 0.85/1.05 (define @t252 () (or @t220 @t251)) % 0.85/1.05 (define @t253 () (tptp.m1_subset_1 @t114 @t221)) % 0.85/1.05 (define @t254 () (not @t251)) % 0.85/1.05 (define @t255 () (or @t244 @t254 @t253)) % 0.85/1.05 (define @t256 () (tptp.r1_tarski @t115 @t113)) % 0.85/1.05 (define @t257 () (not @t241)) % 0.85/1.05 (define @t258 () (not @t253)) % 0.85/1.05 (define @t259 () (or @t223 @t258 @t257 @t238 @t256)) % 0.85/1.05 (define @t260 () (@list false false false false false)) % 0.85/1.05 (define @t261 () (tptp.r1_tarski @t113 @t115)) % 0.85/1.05 (define @t262 () (tptp.r1_tarski @t114 @t114)) % 0.85/1.05 (define @t263 () (or @t244 @t258 @t220 (= @t261 @t262))) % 0.85/1.05 (define @t264 () (forall @t160 @t157)) % 0.85/1.05 (define @t265 () (= @t262 @t261)) % 0.85/1.05 (define @t266 () (or @t244 @t258 @t220 @t265)) % 0.85/1.05 (define @t267 () (@list @t264)) % 0.85/1.05 (define @t268 () (or @t244 @t244 @t250 @t254 @t262)) % 0.85/1.05 (define @t269 () (and @t261 @t256)) % 0.85/1.05 (define @t270 () (= @t216 @t269)) % 0.85/1.05 (define @t271 () (= @t3 @t66)) % 0.85/1.05 (define @t272 () (tptp.v1_relat_1 @t103)) % 0.85/1.05 (define @t273 () (or @t254 @t272)) % 0.85/1.05 (define @t274 () (tptp.k4_relat_1 @t103)) % 0.85/1.05 (define @t275 () (= @t103 (tptp.k4_relat_1 @t274))) % 0.85/1.05 (define @t276 () (not @t272)) % 0.85/1.05 (define @t277 () (or @t276 @t275)) % 0.85/1.05 (define @t278 () (= @t106 @t274)) % 0.85/1.05 (define @t279 () (or @t232 @t278)) % 0.85/1.05 (define @t280 () (tptp.k4_relat_1 @t106)) % 0.85/1.05 (define @t281 () (tptp.m1_relset_1 @t106 @t104 @t105)) % 0.85/1.05 (define @t282 () (= @t281 @t231)) % 0.85/1.05 (define @t283 () (= @t231 @t281)) % 0.85/1.05 (define @t284 () (= @t107 @t280)) % 0.85/1.05 (define @t285 () (not @t281)) % 0.85/1.05 (define @t286 () (or @t285 @t284)) % 0.85/1.05 (define @t287 () (= @t109 @t111)) % 0.85/1.05 (define @t288 () (tptp.r1_tarski @t108 @t110)) % 0.85/1.05 (define @t289 () (tptp.r1_tarski @t109 @t109)) % 0.85/1.05 (define @t290 () (tptp.m1_subset_1 @t109 @t221)) % 0.85/1.05 (define @t291 () (not @t290)) % 0.85/1.05 (define @t292 () (or @t226 @t291 @t220 (= @t288 @t289))) % 0.85/1.05 (define @t293 () (= @t289 @t288)) % 0.85/1.05 (define @t294 () (or @t226 @t291 @t220 @t293)) % 0.85/1.05 (define @t295 () (or @t226 @t254 @t290)) % 0.85/1.05 (define @t296 () (tptp.r1_tarski @t108 @t108)) % 0.85/1.05 (define @t297 () (and @t296 @t296)) % 0.85/1.05 (define @t298 () (= (= @t108 @t108) @t297)) % 0.85/1.05 (define @t299 () (not @t296)) % 0.85/1.05 (define @t300 () (or @t226 @t226 @t299 @t254 @t289)) % 0.85/1.05 (define @t301 () (tptp.m1_subset_1 @t110 @t224)) % 0.85/1.05 (define @t302 () (or @t291 @t238 @t301)) % 0.85/1.05 (define @t303 () (tptp.r1_tarski @t217 @t109)) % 0.85/1.05 (define @t304 () (not @t288)) % 0.85/1.05 (define @t305 () (not @t301)) % 0.85/1.05 (define @t306 () (or @t226 @t305 @t304 @t254 @t303)) % 0.85/1.05 (define @t307 () (tptp.k8_relset_2 @t105 @t104 @t108 @t107)) % 0.85/1.05 (define @t308 () (tptp.r1_tarski @t111 @t109)) % 0.85/1.05 (define @t309 () (tptp.r1_tarski @t109 @t111)) % 0.85/1.05 (define @t310 () (tptp.r1_tarski @t110 @t110)) % 0.85/1.05 (define @t311 () (or @t291 @t305 @t235 (= @t309 @t310))) % 0.85/1.05 (define @t312 () (= @t310 @t309)) % 0.85/1.05 (define @t313 () (or @t291 @t305 @t235 @t312)) % 0.85/1.05 (define @t314 () (and @t310 @t310)) % 0.85/1.05 (define @t315 () (= (= @t110 @t110) @t314)) % 0.85/1.05 (define @t316 () (and @t309 @t308)) % 0.85/1.05 (define @t317 () (= @t287 @t316)) % 0.85/1.05 (assume @p1 @t23) % 0.85/1.05 (assume @p2 (forall @t25 (=> @t24 (not (tptp.r2_hidden @t2 @t3))))) % 0.85/1.05 (assume @p3 (forall @t28 (=> @t27 @t26))) % 0.85/1.05 (assume @p4 @t33) % 0.85/1.05 (assume @p5 @t36) % 0.85/1.05 (assume @p6 (forall @t21 (=> @t19 (forall @t16 (=> @t38 (= @t37 (tptp.k8_setfam_1 @t2 (tptp.k4_relset_2 @t18 @t2 (tptp.k6_relset_2 @t2 @t3 @t5) (tptp.k3_pua2mss1 @t7))))))))) % 0.85/1.05 (assume @p7 true) % 0.85/1.05 (assume @p8 (forall @t28 (tptp.m1_eqrel_1 (tptp.k3_pua2mss1 @t3) @t3))) % 0.85/1.05 (assume @p9 (forall @t28 (=> @t26 @t40))) % 0.85/1.05 (assume @p10 (forall @t43 (=> @t42 (tptp.m1_subset_1 @t41 (tptp.k1_zfmisc_1 @t13))))) % 0.85/1.05 (assume @p11 (forall @t25 (=> (tptp.v1_relat_1 @t2) (and (tptp.v1_relat_1 @t44) (tptp.v1_funct_1 @t44))))) % 0.85/1.05 (assume @p12 @t48) % 0.85/1.05 (assume @p13 (forall @t21 (=> @t50 (and (tptp.v1_funct_1 @t49) (tptp.v1_funct_2 @t49 @t13 @t18) (tptp.m2_relset_1 @t49 @t13 @t18))))) % 0.85/1.05 (assume @p14 @t54) % 0.85/1.05 (assume @p15 (forall @t25 (=> @t55 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t3 @t2) @t18)))) % 0.85/1.05 (assume @p16 (forall @t25 (=> @t56 @t55))) % 0.85/1.05 (assume @p17 @t58) % 0.85/1.05 (assume @p18 (forall @t28 (exists @t59 @t56))) % 0.85/1.05 (assume @p19 (forall @t25 (exists @t60 @t47))) % 0.85/1.05 (assume @p20 (forall @t28 (exists @t59 (tptp.m1_subset_1 @t2 @t3)))) % 0.85/1.05 (assume @p21 (forall @t25 (exists @t60 @t57))) % 0.85/1.05 (assume @p22 (forall @t28 (=> @t27 (and (tptp.v1_xboole_0 @t39) @t40)))) % 0.85/1.05 (assume @p23 (and @t62 @t61 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.85/1.05 (assume @p24 (forall @t28 (not (tptp.v1_xboole_0 @t18)))) % 0.85/1.05 (assume @p25 (forall @t25 (tptp.v1_relat_1 @t30))) % 0.85/1.05 (assume @p26 (and @t62 @t61)) % 0.85/1.05 (assume @p27 (forall @t25 (=> (and @t65 @t64) (not (tptp.v1_xboole_0 @t30))))) % 0.85/1.05 (assume @p28 @t68) % 0.85/1.05 (assume @p29 (forall @t21 (=> @t47 (= (tptp.k6_relset_1 @t3 @t2 @t45) @t7)))) % 0.85/1.05 (assume @p30 (exists @t28 (and @t27 @t26))) % 0.85/1.05 (assume @p31 (forall @t28 (=> @t65 (exists @t59 (and @t69 @t64))))) % 0.85/1.05 (assume @p32 (forall @t25 (exists @t60 (and @t47 @t29 (tptp.v1_funct_1 @t7))))) % 0.85/1.05 (assume @p33 (exists @t28 (and @t65 @t26))) % 0.85/1.05 (assume @p34 (forall @t28 (exists @t59 (and @t69 @t63)))) % 0.85/1.05 (assume @p35 (exists @t28 (and @t26 (tptp.v3_relat_1 @t3)))) % 0.85/1.05 (assume @p36 (forall @t43 (=> @t42 (= @t41 (tptp.k9_relat_1 @t7 @t5))))) % 0.85/1.05 (assume @p37 @t71) % 0.85/1.05 (assume @p38 (forall @t21 (=> @t50 (= @t49 (tptp.k5_relset_2 @t2 @t7))))) % 0.85/1.05 (assume @p39 (forall @t43 (=> @t53 (= @t51 @t37)))) % 0.85/1.05 (assume @p40 @t72) % 0.85/1.05 (assume @p41 (forall @t25 (tptp.r1_tarski @t3 @t3))) % 0.85/1.05 (assume @p42 (forall @t25 (=> @t24 @t73))) % 0.85/1.05 (assume @p43 (forall @t25 (=> @t73 (or @t63 @t24)))) % 0.85/1.05 (assume @p44 @t83) % 0.85/1.05 (assume @p45 (forall @t25 (= (tptp.m1_subset_1 @t3 @t13) @t34))) % 0.85/1.05 (assume @p46 (forall @t21 (=> (and @t24 @t84) (tptp.m1_subset_1 @t3 @t7)))) % 0.85/1.05 (assume @p47 (forall @t21 (not (and @t24 @t84 (tptp.v1_xboole_0 @t7))))) % 0.85/1.05 (assume @p48 @t90) % 0.85/1.05 (assume @p49 (forall @t28 (=> @t27 (= @t3 tptp.k1_xboole_0)))) % 0.85/1.05 (assume @p50 (forall @t25 (not (and @t24 @t63)))) % 0.85/1.05 (assume @p51 (forall @t25 (not (and @t27 (not @t35) @t63)))) % 0.85/1.05 (step @p52 :rule instantiate :premises (@p5) :args ((@list @t109 @t111))) % 0.85/1.05 (step @p53 :rule instantiate :premises (@p5) :args ((@list @t113 @t115))) % 0.85/1.05 (step @p54 :rule aci_norm :args ((= @t123 (or @t99 @t121 @t120 @t119 @t118)))) % 0.85/1.05 (step @p55 :rule cong :premises (@p54) :args (@t124)) % 0.85/1.05 (step @p56 :rule quant-merge-prenex :args ((= (forall @t21 @t126) @t124))) % 0.85/1.05 (step @p57 :rule alpha_equiv :args (@t127 (@list @t117 @t116) (@list @t5 @t128))) % 0.85/1.05 (step @p58 :rule refl :args (@t99)) % 0.85/1.05 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t129)) % 0.85/1.05 (step @p60 :rule quant-miniscope-or :args ((= @t126 @t129))) % 0.85/1.05 (step @p61 :rule trans :premises (@p60 @p59)) % 0.85/1.05 (step @p62 :rule symm :premises (@p61)) % 0.85/1.05 (step @p63 :rule cong :premises (@p62) :args ((forall @t21 (or @t99 @t136)))) % 0.85/1.05 (step @p64 :rule trans :premises (@p63 @p56)) % 0.85/1.05 (step @p65 :rule trans :premises (@p64 @p55)) % 0.85/1.05 (step @p66 :rule bool-impl-elim :args (@t19 @t136)) % 0.85/1.05 (step @p67 :rule cong :premises (@p66) :args ((forall @t21 (=> @t19 @t136)))) % 0.85/1.05 (step @p68 :rule trans :premises (@p67 @p65)) % 0.85/1.05 (step @p69 :rule aci_norm :args ((= @t138 @t134))) % 0.85/1.05 (step @p70 :rule cong :premises (@p69) :args (@t139)) % 0.85/1.05 (step @p71 :rule quant-merge-prenex :args ((= (forall @t16 @t141) @t139))) % 0.85/1.05 (step @p72 :rule alpha_equiv :args (@t142 (@list @t128) @t143)) % 0.85/1.05 (step @p73 :rule refl :args (@t132)) % 0.85/1.05 (step @p74 :rule refl :args (@t133)) % 0.85/1.05 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t144)) % 0.85/1.05 (step @p76 :rule quant-miniscope-or :args ((= @t141 @t144))) % 0.85/1.05 (step @p77 :rule trans :premises (@p76 @p75)) % 0.85/1.05 (step @p78 :rule symm :premises (@p77)) % 0.85/1.05 (step @p79 :rule cong :premises (@p78) :args ((forall @t16 @t148))) % 0.85/1.05 (step @p80 :rule trans :premises (@p79 @p71)) % 0.85/1.05 (step @p81 :rule trans :premises (@p80 @p70)) % 0.85/1.05 (step @p82 :rule aci_norm :args ((= (or @t133 @t149) @t148))) % 0.85/1.05 (step @p83 :rule bool-impl-elim :args (@t79 @t149)) % 0.85/1.05 (step @p84 :rule trans :premises (@p83 @p82)) % 0.85/1.05 (step @p85 :rule cong :premises (@p84) :args ((forall @t16 (=> @t79 @t149)))) % 0.85/1.05 (step @p86 :rule trans :premises (@p85 @p81)) % 0.85/1.05 (step @p87 :rule quant-miniscope-or :args ((= (forall @t11 @t150) @t149))) % 0.85/1.05 (step @p88 :rule aci_norm :args ((= 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chain_m_resolution :premises (@p328 @p271 @p326) :args (@t272 @t230 (@list @t251 @t273))) % 0.85/1.05 (step @p330 :rule cnf_or_pos :args (@t277)) % 0.85/1.05 (step @p331 :rule reordering :premises (@p330) :args ((or @t276 @t275 (not @t277)))) % 0.85/1.05 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p322) :args (@t275 @t230 (@list @t272 @t277))) % 0.85/1.05 (step @p333 :rule symm :premises (@p332)) % 0.85/1.05 (step @p334 :rule bool-impl-elim :args (@t47 @t70)) % 0.85/1.05 (step @p335 :rule cong :premises (@p334) :args (@t71)) % 0.85/1.05 (step @p336 :rule eq_resolve :premises (@p37 @p335)) % 0.85/1.05 (step @p337 :rule instantiate :premises (@p336) :args (@t184)) % 0.85/1.05 (step @p338 :rule cnf_or_pos :args (@t279)) % 0.85/1.05 (step @p339 :rule reordering :premises (@p338) :args ((or @t232 @t278 (not @t279)))) % 0.85/1.05 (step @p340 :rule chain_m_resolution :premises (@p339 @p229 @p337) :args (@t278 @t230 (@list @t185 @t279))) % 0.85/1.05 (step @p341 :rule cong :premises (@p340) :args (@t280)) % 0.85/1.05 (step @p342 :rule instantiate :premises (@p336) :args (@t183)) % 0.85/1.05 (step @p343 :rule eq-symm :args (@t281 @t231)) % 0.85/1.05 (step @p344 :rule cong :premises (@p172 @p343) :args ((=> @t187 @t282))) % 0.85/1.05 (assume-push @p477 @t187) % 0.85/1.05 (step @p346 :rule instantiate :premises (@p170) :args (@t183)) % 0.85/1.05 (step-pop @p478 :rule scope :premises (@p346)) % 0.85/1.05 (step @p347 :rule process_scope :premises (@p478) :args (@t282)) % 0.85/1.05 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 0.85/1.05 (step @p350 :rule implies_elim :premises (@p349)) % 0.85/1.05 (step @p351 :rule chain_m_resolution :premises (@p350 @p170) :args (@t283 @t190 @t191)) % 0.85/1.05 (step @p352 :rule cnf_equiv_pos1 :args (@t283)) % 0.85/1.05 (step @p353 :rule reordering :premises (@p352) :args ((or @t235 @t281 (not @t283)))) % 0.85/1.05 (step @p354 :rule chain_m_resolution :premises (@p353 @p232 @p351) :args (@t281 @t230 (@list @t231 @t283))) % 0.85/1.05 (step @p355 :rule cnf_or_pos :args (@t286)) % 0.85/1.05 (step @p356 :rule reordering :premises (@p355) :args ((or @t285 @t284 (not @t286)))) % 0.85/1.05 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p342) :args (@t284 @t230 (@list @t281 @t286))) % 0.85/1.05 (step @p358 :rule trans :premises (@p357 @p341 @p333)) % 0.85/1.05 (step @p359 :rule refl :args (@t110)) % 0.85/1.05 (step @p360 :rule refl :args (@t104)) % 0.85/1.05 (step @p361 :rule refl :args (@t105)) % 0.85/1.05 (step @p362 :rule cong :premises (@p361 @p360 @p359 @p358) :args (@t111)) % 0.85/1.05 (step @p363 :rule refl :args (@t109)) % 0.85/1.05 (step @p364 :rule cong :premises (@p363 @p362) :args (@t287)) % 0.85/1.05 (step @p365 :rule trans :premises (@p364 @p313)) % 0.85/1.05 (step @p366 :rule false_elim :premises (@p365)) % 0.85/1.05 (step @p367 :rule instantiate :premises (@p108) :args ((@list @t105 @t104 @t108 @t110 @t103))) % 0.85/1.05 (step @p368 :rule eq-symm :args (@t288 @t289)) % 0.85/1.05 (step @p369 :rule refl :args (@t291)) % 0.85/1.05 (step @p370 :rule refl :args (@t226)) % 0.85/1.05 (step @p371 :rule nary_cong :premises (@p370 @p369 @p279 @p368) :args (@t292)) % 0.85/1.05 (step @p372 :rule cong :premises (@p283 @p371) :args ((=> @t264 @t292))) % 0.85/1.05 (assume-push @p479 @t264) % 0.85/1.05 (step @p374 :rule instantiate :premises (@p148) :args ((@list @t105 @t104 @t108 @t109 @t103))) % 0.85/1.05 (step-pop @p480 :rule scope :premises (@p374)) % 0.85/1.05 (step @p375 :rule process_scope :premises (@p480) :args (@t292)) % 0.85/1.05 (step @p377 :rule eq_resolve :premises (@p375 @p372)) % 0.85/1.05 (step @p378 :rule implies_elim :premises (@p377)) % 0.85/1.05 (step @p379 :rule chain_m_resolution :premises (@p378 @p148) :args (@t294 @t190 @t267)) % 0.85/1.05 (step @p380 :rule instantiate :premises (@p158) :args ((@list @t105 @t104 @t108 @t103))) % 0.85/1.05 (step @p381 :rule bool-double-not-elim :args (@t225)) % 0.85/1.05 (step @p382 :rule nary_cong :premises (@p221 @p381) :args ((or @t227 (not @t226)))) % 0.85/1.05 (step @p383 :rule cnf_or_neg :args (@t227 0)) % 0.85/1.05 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 0.85/1.05 (step @p385 :rule reordering :premises (@p384) :args ((or @t225 @t227))) % 0.85/1.05 (step @p386 :rule chain_m_resolution :premises (@p385 @p219) :args (@t225 @t228 @t229)) % 0.85/1.05 (step @p387 :rule cnf_or_pos :args (@t295)) % 0.85/1.05 (step @p388 :rule reordering :premises (@p387) :args ((or @t226 @t254 @t290 (not @t295)))) % 0.85/1.05 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p271 @p380) :args (@t290 @t240 (@list @t225 @t251 @t295))) % 0.85/1.05 (step @p390 :rule cnf_or_pos :args (@t294)) % 0.85/1.05 (step @p391 :rule reordering :premises (@p390) :args ((or @t226 @t220 @t291 @t293 (not @t294)))) % 0.85/1.05 (step @p392 :rule chain_m_resolution :premises (@p391 @p386 @p226 @p389 @p379) :args (@t293 @t246 (@list @t225 @t186 @t290 @t294))) % 0.85/1.05 (step @p393 :rule instantiate :premises (@p108) :args ((@list @t105 @t104 @t108 @t108 @t103))) % 0.85/1.05 (step @p394 :rule bool-eq-true :args (@t296)) % 0.85/1.05 (step @p395 :rule eq-symm :args (true @t296)) % 0.85/1.05 (step @p396 :rule trans :premises (@p395 @p394)) % 0.85/1.05 (step @p397 :rule aci_norm :args ((= @t297 @t296))) % 0.85/1.05 (step @p398 :rule eq-refl :args (@t108)) % 0.85/1.05 (step @p399 :rule cong :premises (@p398 @p397) :args (@t298)) % 0.85/1.05 (step @p400 :rule trans :premises (@p399 @p396)) % 0.85/1.05 (step @p401 :rule cong :premises (@p255 @p400) :args ((=> @t36 @t298))) % 0.85/1.05 (assume-push @p481 @t36) % 0.85/1.05 (step @p403 :rule instantiate :premises (@p5) :args ((@list @t108 @t108))) % 0.85/1.05 (step-pop @p482 :rule scope :premises (@p403)) % 0.85/1.05 (step @p404 :rule process_scope :premises (@p482) :args (@t298)) % 0.85/1.05 (step @p406 :rule eq_resolve :premises (@p404 @p401)) % 0.85/1.05 (step @p407 :rule implies_elim :premises (@p406)) % 0.85/1.05 (step @p408 :rule chain_m_resolution :premises (@p407 @p5) :args (@t296 @t190 @t249)) % 0.85/1.05 (step @p409 :rule cnf_or_pos :args (@t300)) % 0.85/1.05 (step @p410 :rule factoring :premises (@p409)) % 0.85/1.05 (step @p411 :rule reordering :premises (@p410) :args ((or @t226 @t254 @t299 @t289 (not @t300)))) % 0.85/1.05 (step @p412 :rule chain_m_resolution :premises (@p411 @p386 @p271 @p408 @p393) :args (@t289 @t246 (@list @t225 @t251 @t296 @t300))) % 0.85/1.05 (step @p413 :rule cnf_equiv_pos1 :args (@t293)) % 0.85/1.05 (step @p414 :rule reordering :premises (@p413) :args ((or (not @t289) @t288 (not @t293)))) % 0.85/1.05 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p392) :args (@t288 @t230 (@list @t289 @t293))) % 0.85/1.05 (step @p416 :rule instantiate :premises (@p158) :args ((@list @t104 @t105 @t109 @t106))) % 0.85/1.05 (step @p417 :rule cnf_or_pos :args (@t302)) % 0.85/1.05 (step @p418 :rule reordering :premises (@p417) :args ((or @t301 @t238 @t291 (not @t302)))) % 0.85/1.05 (step @p419 :rule chain_m_resolution :premises (@p418 @p235 @p389 @p416) :args (@t301 @t240 (@list @t234 @t290 @t302))) % 0.85/1.05 (step @p420 :rule cnf_or_pos :args (@t306)) % 0.85/1.05 (step @p421 :rule reordering :premises (@p420) :args ((or @t226 @t254 @t305 @t304 @t303 (not @t306)))) % 0.85/1.05 (step @p422 :rule chain_m_resolution :premises (@p421 @p386 @p271 @p419 @p415 @p367) :args (@t303 @t260 (@list @t225 @t251 @t301 @t288 @t306))) % 0.85/1.05 (step @p423 :rule true_intro :premises (@p422)) % 0.85/1.05 (step @p424 :rule refl :args (@t108)) % 0.85/1.05 (step @p425 :rule cong :premises (@p361 @p360 @p424 @p358) :args (@t307)) % 0.85/1.05 (step @p426 :rule refl :args (@t217)) % 0.85/1.05 (step @p427 :rule cong :premises (@p426 @p425) :args ((tptp.r1_tarski @t217 @t307))) % 0.85/1.05 (step @p428 :rule symm :premises (@p425)) % 0.85/1.05 (step @p429 :rule cong :premises (@p362 @p428) :args (@t308)) % 0.85/1.05 (step @p430 :rule trans :premises (@p429 @p427 @p423)) % 0.85/1.05 (step @p431 :rule true_elim :premises (@p430)) % 0.85/1.05 (step @p432 :rule eq-symm :args (@t309 @t310)) % 0.85/1.05 (step @p433 :rule refl :args (@t235)) % 0.85/1.05 (step @p434 :rule refl :args (@t305)) % 0.85/1.05 (step @p435 :rule nary_cong :premises (@p369 @p434 @p433 @p432) :args (@t311)) % 0.85/1.05 (step @p436 :rule cong :premises (@p283 @p435) :args ((=> @t264 @t311))) % 0.85/1.05 (assume-push @p483 @t264) % 0.85/1.05 (step @p438 :rule instantiate :premises (@p148) :args ((@list @t104 @t105 @t109 @t110 @t106))) % 0.85/1.05 (step-pop @p484 :rule scope :premises (@p438)) % 0.85/1.05 (step @p439 :rule process_scope :premises (@p484) :args (@t311)) % 0.85/1.05 (step @p441 :rule eq_resolve :premises (@p439 @p436)) % 0.85/1.05 (step @p442 :rule implies_elim :premises (@p441)) % 0.85/1.05 (step @p443 :rule chain_m_resolution :premises (@p442 @p148) :args (@t313 @t190 @t267)) % 0.85/1.05 (step @p444 :rule cnf_or_pos :args (@t313)) % 0.85/1.05 (step @p445 :rule reordering :premises (@p444) :args ((or @t305 @t291 @t235 @t312 (not @t313)))) % 0.85/1.05 (step @p446 :rule chain_m_resolution :premises (@p445 @p419 @p389 @p232 @p443) :args (@t312 @t246 (@list @t301 @t290 @t231 @t313))) % 0.85/1.05 (step @p447 :rule bool-eq-true :args (@t310)) % 0.85/1.05 (step @p448 :rule eq-symm :args (true @t310)) % 0.85/1.05 (step @p449 :rule trans :premises (@p448 @p447)) % 0.85/1.05 (step @p450 :rule aci_norm :args ((= @t314 @t310))) % 0.85/1.05 (step @p451 :rule eq-refl :args (@t110)) % 0.85/1.05 (step @p452 :rule cong :premises (@p451 @p450) :args (@t315)) % 0.85/1.05 (step @p453 :rule trans :premises (@p452 @p449)) % 0.85/1.05 (step @p454 :rule cong :premises (@p255 @p453) :args ((=> @t36 @t315))) % 0.85/1.05 (assume-push @p485 @t36) % 0.85/1.05 (step @p456 :rule instantiate :premises (@p5) :args ((@list @t110 @t110))) % 0.85/1.05 (step-pop @p486 :rule scope :premises (@p456)) % 0.85/1.05 (step @p457 :rule process_scope :premises (@p486) :args (@t315)) % 0.85/1.05 (step @p459 :rule eq_resolve :premises (@p457 @p454)) % 0.85/1.05 (step @p460 :rule implies_elim :premises (@p459)) % 0.85/1.05 (step @p461 :rule chain_m_resolution :premises (@p460 @p5) :args (@t310 @t190 @t249)) % 0.85/1.05 (step @p462 :rule cnf_equiv_pos1 :args (@t312)) % 0.85/1.05 (step @p463 :rule reordering :premises (@p462) :args ((or (not @t310) @t309 (not @t312)))) % 0.85/1.05 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p446) :args (@t309 @t230 (@list @t310 @t312))) % 0.85/1.05 (step @p465 :rule cnf_and_neg :args (@t316)) % 0.85/1.05 (step @p466 :rule reordering :premises (@p465) :args ((or (not @t309) @t316 (not @t308)))) % 0.85/1.05 (step @p467 :rule chain_m_resolution :premises (@p466 @p464 @p431) :args (@t316 @t230 (@list @t309 @t308))) % 0.85/1.05 (step @p468 :rule cnf_equiv_pos2 :args (@t317)) % 0.85/1.05 (step @p469 :rule reordering :premises (@p468) :args ((or @t287 (not @t316) (not @t317)))) % 0.85/1.05 (step @p470 false :rule chain_m_resolution :premises (@p469 @p467 @p366 @p52) :args (false (@list false true false) (@list @t316 @t287 @t317))) % 0.85/1.05 ) % 0.85/1.05 % SZS output end Proof % 0.85/1.05 % cvc5 exiting %------------------------------------------------------------------------------