%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU417+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 08:51:42 AM UTC 2026 % Result : Theorem 0.36s 0.69s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU417+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:17:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.69 % SZS status Theorem % 0.36/0.69 % SZS output start Proof % 0.36/0.69 ( % 0.36/0.69 (declare-sort $$unsorted 0) % 0.36/0.69 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.k1_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.36/0.69 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.k4_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.69 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.69 (define @t3 () (@var "A" $$unsorted)) % 0.36/0.69 (define @t4 () (tptp.k1_relset_2 @t3 @t2 @t1)) % 0.36/0.69 (define @t5 () (tptp.k8_setfam_1 @t3 @t1)) % 0.36/0.69 (define @t6 () (tptp.k8_setfam_1 @t3 @t2)) % 0.36/0.69 (define @t7 () (tptp.r1_tarski (tptp.k5_subset_1 @t3 @t6 @t5) (tptp.k8_setfam_1 @t3 @t4))) % 0.36/0.69 (define @t8 () (tptp.k1_zfmisc_1 @t3)) % 0.36/0.69 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 0.36/0.69 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 0.36/0.69 (define @t11 () (@list @t1)) % 0.36/0.69 (define @t12 () (forall @t11 (=> @t10 @t7))) % 0.36/0.69 (define @t13 () (tptp.m1_subset_1 @t2 @t9)) % 0.36/0.69 (define @t14 () (=> @t13 @t12)) % 0.36/0.69 (define @t15 () (@list @t3 @t2)) % 0.36/0.69 (define @t16 () (forall @t15 @t14)) % 0.36/0.69 (define @t17 () (not @t16)) % 0.36/0.69 (define @t18 () (tptp.r2_hidden @t3 @t2)) % 0.36/0.69 (define @t19 () (tptp.v1_relat_1 @t3)) % 0.36/0.69 (define @t20 () (tptp.v1_xboole_0 @t3)) % 0.36/0.69 (define @t21 () (@list @t3)) % 0.36/0.69 (define @t22 () (and @t13 @t10)) % 0.36/0.69 (define @t23 () (@list @t3 @t2 @t1)) % 0.36/0.69 (define @t24 () (tptp.k2_xboole_0 @t3 @t2)) % 0.36/0.69 (define @t25 () (tptp.k3_xboole_0 @t3 @t2)) % 0.36/0.69 (define @t26 () (tptp.k4_subset_1 @t3 @t2 @t1)) % 0.36/0.69 (define @t27 () (tptp.m1_subset_1 @t1 @t8)) % 0.36/0.69 (define @t28 () (tptp.m1_subset_1 @t2 @t8)) % 0.36/0.69 (define @t29 () (and @t28 @t27)) % 0.36/0.69 (define @t30 () (tptp.k5_subset_1 @t3 @t2 @t1)) % 0.36/0.69 (define @t31 () (tptp.m1_subset_1 @t4 @t9)) % 0.36/0.69 (define @t32 () (forall @t23 (=> @t22 @t31))) % 0.36/0.69 (define @t33 () (tptp.m1_subset_1 @t26 @t8)) % 0.36/0.69 (define @t34 () (forall @t23 (=> @t29 @t33))) % 0.36/0.69 (define @t35 () (@list @t2)) % 0.36/0.69 (define @t36 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.36/0.69 (define @t37 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.36/0.69 (define @t38 () (and @t19 (tptp.v1_relat_1 @t2))) % 0.36/0.69 (define @t39 () (tptp.v1_xboole_0 @t2)) % 0.36/0.69 (define @t40 () (not @t20)) % 0.36/0.69 (define @t41 () (tptp.k3_xboole_0 @t2 @t1)) % 0.36/0.69 (define @t42 () (= @t4 @t41)) % 0.36/0.69 (define @t43 () (forall @t23 (=> @t22 @t42))) % 0.36/0.69 (define @t44 () (= @t26 (tptp.k2_xboole_0 @t2 @t1))) % 0.36/0.69 (define @t45 () (forall @t23 (=> @t29 @t44))) % 0.36/0.69 (define @t46 () (tptp.m1_subset_1 @t3 @t2)) % 0.36/0.69 (define @t47 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 0.36/0.69 (define @t48 () (tptp.r1_tarski @t5 @t6)) % 0.36/0.69 (define @t49 () (tptp.r1_tarski @t2 @t1)) % 0.36/0.69 (define @t50 () (=> @t49 @t48)) % 0.36/0.69 (define @t51 () (forall @t11 (=> @t10 @t50))) % 0.36/0.69 (define @t52 () (=> @t13 @t51)) % 0.36/0.69 (define @t53 () (forall @t15 @t52)) % 0.36/0.69 (define @t54 () (@var "D" $$unsorted)) % 0.36/0.69 (define @t55 () (= @t6 (tptp.k5_subset_1 @t3 @t5 (tptp.k8_setfam_1 @t3 @t54)))) % 0.36/0.69 (define @t56 () (= @t2 (tptp.k4_subset_1 @t8 @t1 @t54))) % 0.36/0.69 (define @t57 () (=> @t56 @t55)) % 0.36/0.69 (define @t58 () (tptp.m1_subset_1 @t54 @t9)) % 0.36/0.69 (define @t59 () (@list @t54)) % 0.36/0.69 (define @t60 () (forall @t59 (=> @t58 @t57))) % 0.36/0.69 (define @t61 () (=> @t10 @t60)) % 0.36/0.69 (define @t62 () (forall @t11 @t61)) % 0.36/0.69 (define @t63 () (=> @t13 @t62)) % 0.36/0.69 (define @t64 () (forall @t15 @t63)) % 0.36/0.69 (define @t65 () (@var "BOUND_VARIABLE_7634" $$unsorted)) % 0.36/0.69 (define @t66 () (tptp.r1_tarski (tptp.k5_subset_1 @t3 @t6 (tptp.k8_setfam_1 @t3 @t65)) (tptp.k8_setfam_1 @t3 (tptp.k1_relset_2 @t3 @t2 @t65)))) % 0.36/0.69 (define @t67 () (not (tptp.m1_subset_1 @t65 @t9))) % 0.36/0.69 (define @t68 () (not @t13)) % 0.36/0.69 (define @t69 () (or @t68 @t67 @t66)) % 0.36/0.69 (define @t70 () (@list @t3 @t2 @t65)) % 0.36/0.69 (define @t71 () (forall @t70 @t69)) % 0.36/0.69 (define @t72 () (@quantifiers_skolemize @t71 1)) % 0.36/0.69 (define @t73 () (@quantifiers_skolemize @t71 2)) % 0.36/0.69 (define @t74 () (@list @t72 @t73)) % 0.36/0.69 (define @t75 () (not @t27)) % 0.36/0.69 (define @t76 () (not @t28)) % 0.36/0.69 (define @t77 () (or @t76 @t75)) % 0.36/0.69 (define @t78 () (not @t29)) % 0.36/0.69 (define @t79 () (@quantifiers_skolemize @t71 0)) % 0.36/0.69 (define @t80 () (tptp.k1_zfmisc_1 @t79)) % 0.36/0.69 (define @t81 () (@list @t80 @t72 @t73)) % 0.36/0.69 (define @t82 () (or @t67 @t66)) % 0.36/0.69 (define @t83 () (or @t68 @t82)) % 0.36/0.69 (define @t84 () (forall @t70 @t83)) % 0.36/0.69 (define @t85 () (@list @t65)) % 0.36/0.69 (define @t86 () (forall @t85 @t83)) % 0.36/0.69 (define @t87 () (forall @t85 @t82)) % 0.36/0.69 (define @t88 () (@list @t1)) % 0.36/0.69 (define @t89 () (or @t68 @t87)) % 0.36/0.69 (define @t90 () (not @t10)) % 0.36/0.69 (define @t91 () (forall @t11 (or @t90 @t7))) % 0.36/0.69 (define @t92 () (tptp.k1_zfmisc_1 @t80)) % 0.36/0.69 (define @t93 () (tptp.m1_subset_1 @t73 @t92)) % 0.36/0.69 (define @t94 () (tptp.k1_relset_2 @t79 @t72 @t73)) % 0.36/0.69 (define @t95 () (tptp.k8_setfam_1 @t79 @t94)) % 0.36/0.69 (define @t96 () (tptp.k5_subset_1 @t79 (tptp.k8_setfam_1 @t79 @t72) (tptp.k8_setfam_1 @t79 @t73))) % 0.36/0.69 (define @t97 () (tptp.r1_tarski @t96 @t95)) % 0.36/0.69 (define @t98 () (not @t93)) % 0.36/0.69 (define @t99 () (tptp.m1_subset_1 @t72 @t92)) % 0.36/0.69 (define @t100 () (not @t99)) % 0.36/0.69 (define @t101 () (or @t100 @t98 @t97)) % 0.36/0.69 (define @t102 () (@list true)) % 0.36/0.69 (define @t103 () (@list @t101)) % 0.36/0.69 (define @t104 () (tptp.k4_subset_1 @t80 @t72 @t73)) % 0.36/0.69 (define @t105 () (= @t104 (tptp.k2_xboole_0 @t72 @t73))) % 0.36/0.69 (define @t106 () (or @t100 @t98 @t105)) % 0.36/0.69 (define @t107 () (@list false false false)) % 0.36/0.69 (define @t108 () (or @t68 @t90)) % 0.36/0.69 (define @t109 () (not @t22)) % 0.36/0.69 (define @t110 () (@list @t79 @t72 @t73)) % 0.36/0.69 (define @t111 () (= @t94 (tptp.k3_xboole_0 @t72 @t73))) % 0.36/0.69 (define @t112 () (or @t100 @t98 @t111)) % 0.36/0.69 (define @t113 () (tptp.r1_tarski @t94 @t104)) % 0.36/0.69 (define @t114 () (@var "BOUND_VARIABLE_7805" $$unsorted)) % 0.36/0.69 (define @t115 () (tptp.r1_tarski (tptp.k8_setfam_1 @t3 @t114) @t6)) % 0.36/0.69 (define @t116 () (not (tptp.r1_tarski @t2 @t114))) % 0.36/0.69 (define @t117 () (not (tptp.m1_subset_1 @t114 @t9))) % 0.36/0.69 (define @t118 () (or @t117 @t116 @t115)) % 0.36/0.69 (define @t119 () (or @t68 @t118)) % 0.36/0.69 (define @t120 () (forall (@list @t3 @t2 @t114) @t119)) % 0.36/0.69 (define @t121 () (@list @t114)) % 0.36/0.69 (define @t122 () (forall @t121 @t119)) % 0.36/0.69 (define @t123 () (forall @t121 @t118)) % 0.36/0.69 (define @t124 () (or @t68 @t123)) % 0.36/0.69 (define @t125 () (not @t49)) % 0.36/0.69 (define @t126 () (or @t90 @t125 @t48)) % 0.36/0.69 (define @t127 () (forall @t11 @t126)) % 0.36/0.69 (define @t128 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 0.36/0.69 (define @t129 () (@var "BOUND_VARIABLE_7862" $$unsorted)) % 0.36/0.69 (define @t130 () (tptp.k4_subset_1 @t8 @t129 @t128)) % 0.36/0.69 (define @t131 () (tptp.k8_setfam_1 @t3 @t130)) % 0.36/0.69 (define @t132 () (tptp.k5_subset_1 @t3 (tptp.k8_setfam_1 @t3 @t129) (tptp.k8_setfam_1 @t3 @t128))) % 0.36/0.69 (define @t133 () (= @t132 @t131)) % 0.36/0.69 (define @t134 () (not (tptp.m1_subset_1 @t128 @t9))) % 0.36/0.69 (define @t135 () (not (tptp.m1_subset_1 @t129 @t9))) % 0.36/0.69 (define @t136 () (not (tptp.m1_subset_1 @t130 @t9))) % 0.36/0.69 (define @t137 () (not (= @t130 @t130))) % 0.36/0.69 (define @t138 () (or @t136 @t135 @t134 @t137 (= @t131 @t132))) % 0.36/0.69 (define @t139 () (@list @t3 @t129 @t128)) % 0.36/0.69 (define @t140 () (= @t6 @t132)) % 0.36/0.69 (define @t141 () (not (= @t2 @t130))) % 0.36/0.69 (define @t142 () (or @t141 @t68 @t135 @t134 @t141 @t140)) % 0.36/0.69 (define @t143 () (or @t68 @t135 @t134 @t141 @t140)) % 0.36/0.69 (define @t144 () (forall @t35 @t143)) % 0.36/0.69 (define @t145 () (forall @t139 @t144)) % 0.36/0.69 (define @t146 () (forall (@list @t3 @t129 @t128 @t2) @t143)) % 0.36/0.69 (define @t147 () (@list @t3 @t2 @t129 @t128)) % 0.36/0.69 (define @t148 () (or @t135 @t134 @t141 @t140)) % 0.36/0.69 (define @t149 () (or @t68 @t148)) % 0.36/0.69 (define @t150 () (forall @t147 @t149)) % 0.36/0.69 (define @t151 () (@list @t129 @t128)) % 0.36/0.69 (define @t152 () (forall @t151 @t149)) % 0.36/0.69 (define @t153 () (forall @t151 @t148)) % 0.36/0.69 (define @t154 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 0.36/0.69 (define @t155 () (or @t68 @t153)) % 0.36/0.69 (define @t156 () (= @t6 (tptp.k5_subset_1 @t3 @t5 (tptp.k8_setfam_1 @t3 @t154)))) % 0.36/0.69 (define @t157 () (not (= @t2 (tptp.k4_subset_1 @t8 @t1 @t154)))) % 0.36/0.69 (define @t158 () (not (tptp.m1_subset_1 @t154 @t9))) % 0.36/0.69 (define @t159 () (or @t90 @t158 @t157 @t156)) % 0.36/0.69 (define @t160 () (@list @t1 @t154)) % 0.36/0.69 (define @t161 () (forall @t160 @t159)) % 0.36/0.69 (define @t162 () (or @t158 @t157 @t156)) % 0.36/0.69 (define @t163 () (or @t90 @t162)) % 0.36/0.69 (define @t164 () (forall @t160 @t163)) % 0.36/0.69 (define @t165 () (@list @t154)) % 0.36/0.69 (define @t166 () (forall @t165 @t163)) % 0.36/0.69 (define @t167 () (forall @t165 @t162)) % 0.36/0.69 (define @t168 () (or @t90 @t167)) % 0.36/0.69 (define @t169 () (not @t56)) % 0.36/0.69 (define @t170 () (not @t58)) % 0.36/0.69 (define @t171 () (or @t170 @t169 @t55)) % 0.36/0.69 (define @t172 () (forall @t59 @t171)) % 0.36/0.69 (define @t173 () (tptp.m1_subset_1 @t104 @t92)) % 0.36/0.69 (define @t174 () (or @t100 @t98 @t173)) % 0.36/0.69 (define @t175 () (tptp.k8_setfam_1 @t79 @t104)) % 0.36/0.69 (define @t176 () (= @t96 @t175)) % 0.36/0.69 (define @t177 () (not @t173)) % 0.36/0.69 (define @t178 () (or @t177 @t100 @t98 @t176)) % 0.36/0.69 (define @t179 () (tptp.r1_tarski @t175 @t95)) % 0.36/0.69 (define @t180 () (tptp.m1_subset_1 @t94 @t92)) % 0.36/0.69 (define @t181 () (or @t100 @t98 @t180)) % 0.36/0.69 (define @t182 () (not @t113)) % 0.36/0.69 (define @t183 () (not @t180)) % 0.36/0.69 (define @t184 () (or @t183 @t177 @t182 @t179)) % 0.36/0.69 (assume @p1 @t17) % 0.36/0.69 (assume @p2 (forall @t15 (=> @t18 (not (tptp.r2_hidden @t2 @t3))))) % 0.36/0.69 (assume @p3 (forall @t21 (=> @t20 @t19))) % 0.36/0.69 (assume @p4 (forall @t23 (=> @t22 (= @t4 (tptp.k1_relset_2 @t3 @t1 @t2))))) % 0.36/0.69 (assume @p5 (forall @t15 (= @t24 (tptp.k2_xboole_0 @t2 @t3)))) % 0.36/0.69 (assume @p6 (forall @t15 (= @t25 (tptp.k3_xboole_0 @t2 @t3)))) % 0.36/0.69 (assume @p7 (forall @t23 (=> @t29 (= @t26 (tptp.k4_subset_1 @t3 @t1 @t2))))) % 0.36/0.69 (assume @p8 (forall @t23 (=> @t29 (= @t30 (tptp.k5_subset_1 @t3 @t1 @t2))))) % 0.36/0.69 (assume @p9 @t32) % 0.36/0.69 (assume @p10 true) % 0.36/0.69 (assume @p11 @t34) % 0.36/0.69 (assume @p12 (forall @t23 (=> @t29 (tptp.m1_subset_1 @t30 @t8)))) % 0.36/0.69 (assume @p13 (forall @t15 (=> @t13 (tptp.m1_subset_1 @t6 @t8)))) % 0.36/0.69 (assume @p14 (forall @t21 (exists @t35 (tptp.m1_subset_1 @t2 @t3)))) % 0.36/0.69 (assume @p15 (and @t37 @t36 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.36/0.69 (assume @p16 (forall @t15 (=> @t38 (tptp.v1_relat_1 @t25)))) % 0.36/0.69 (assume @p17 (forall @t21 (not (tptp.v1_xboole_0 @t8)))) % 0.36/0.69 (assume @p18 (forall @t15 (=> @t38 (tptp.v1_relat_1 @t24)))) % 0.36/0.69 (assume @p19 (and @t37 @t36)) % 0.36/0.69 (assume @p20 (forall @t23 (=> @t22 (= (tptp.k1_relset_2 @t3 @t2 @t2) @t2)))) % 0.36/0.69 (assume @p21 (forall @t15 (= (tptp.k2_xboole_0 @t3 @t3) @t3))) % 0.36/0.69 (assume @p22 (forall @t15 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 0.36/0.69 (assume @p23 (forall @t23 (=> @t29 (= (tptp.k4_subset_1 @t3 @t2 @t2) @t2)))) % 0.36/0.69 (assume @p24 (forall @t23 (=> @t29 (= (tptp.k5_subset_1 @t3 @t2 @t2) @t2)))) % 0.36/0.69 (assume @p25 (exists @t21 (and @t20 @t19))) % 0.36/0.69 (assume @p26 (forall @t21 (=> @t40 (exists @t35 (and @t28 (not @t39)))))) % 0.36/0.69 (assume @p27 (exists @t21 (and @t40 @t19))) % 0.36/0.69 (assume @p28 (forall @t21 (exists @t35 (and @t28 @t39)))) % 0.36/0.69 (assume @p29 (exists @t21 (and @t19 (tptp.v3_relat_1 @t3)))) % 0.36/0.69 (assume @p30 @t43) % 0.36/0.69 (assume @p31 @t45) % 0.36/0.69 (assume @p32 (forall @t23 (=> @t29 (= @t30 @t41)))) % 0.36/0.69 (assume @p33 (forall @t15 (tptp.r1_tarski @t3 @t3))) % 0.36/0.69 (assume @p34 (forall @t21 (= (tptp.k2_xboole_0 @t3 tptp.k1_xboole_0) @t3))) % 0.36/0.69 (assume @p35 (forall @t15 (=> @t18 @t46))) % 0.36/0.69 (assume @p36 (forall @t23 (tptp.r1_tarski @t25 (tptp.k2_xboole_0 @t3 @t1)))) % 0.36/0.69 (assume @p37 (forall @t21 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 0.36/0.69 (assume @p38 (forall @t15 (=> @t46 (or @t39 @t18)))) % 0.36/0.69 (assume @p39 (forall @t15 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 0.36/0.69 (assume @p40 (forall @t23 (=> (and @t18 @t47) (tptp.m1_subset_1 @t3 @t1)))) % 0.36/0.69 (assume @p41 @t53) % 0.36/0.69 (assume @p42 (forall @t23 (not (and @t18 @t47 (tptp.v1_xboole_0 @t1))))) % 0.36/0.69 (assume @p43 (forall @t21 (=> @t20 (= @t3 tptp.k1_xboole_0)))) % 0.36/0.69 (assume @p44 (forall @t15 (not (and @t18 @t39)))) % 0.36/0.69 (assume @p45 (forall @t15 (not (and @t20 (not (= @t3 @t2)) @t39)))) % 0.36/0.69 (assume @p46 @t64) % 0.36/0.69 (step @p47 :rule evaluate :args ((= false true))) % 0.36/0.69 (step @p48 :rule instantiate :premises (@p36) :args ((@list @t73 @t72 @t72))) % 0.36/0.69 (step @p49 :rule true_intro :premises (@p48)) % 0.36/0.69 (step @p50 :rule instantiate :premises (@p5) :args (@t74)) % 0.36/0.69 (step @p51 :rule aci_norm :args ((= (or @t77 @t44) (or @t76 @t75 @t44)))) % 0.36/0.69 (step @p52 :rule refl :args (@t44)) % 0.36/0.69 (step @p53 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.36/0.69 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t78 @t44))) % 0.36/0.69 (step @p55 :rule trans :premises (@p54 @p51)) % 0.36/0.69 (step @p56 :rule bool-impl-elim :args (@t29 @t44)) % 0.36/0.69 (step @p57 :rule trans :premises (@p56 @p55)) % 0.36/0.69 (step @p58 :rule cong :premises (@p57) :args (@t45)) % 0.36/0.69 (step @p59 :rule eq_resolve :premises (@p31 @p58)) % 0.36/0.69 (step @p60 :rule instantiate :premises (@p59) :args (@t81)) % 0.36/0.69 (step @p61 :rule aci_norm :args ((= @t83 @t69))) % 0.36/0.69 (step @p62 :rule cong :premises (@p61) :args (@t84)) % 0.36/0.69 (step @p63 :rule quant-merge-prenex :args ((= (forall @t15 @t86) @t84))) % 0.36/0.69 (step @p64 :rule alpha_equiv :args (@t87 (@list @t65) @t88)) % 0.36/0.69 (step @p65 :rule refl :args (@t68)) % 0.36/0.69 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t89)) % 0.36/0.69 (step @p67 :rule quant-miniscope-or :args ((= @t86 @t89))) % 0.36/0.69 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.69 (step @p69 :rule symm :premises (@p68)) % 0.36/0.69 (step @p70 :rule cong :premises (@p69) :args ((forall @t15 (or @t68 @t91)))) % 0.36/0.69 (step @p71 :rule trans :premises (@p70 @p63)) % 0.36/0.69 (step @p72 :rule trans :premises (@p71 @p62)) % 0.36/0.69 (step @p73 :rule bool-impl-elim :args (@t13 @t91)) % 0.36/0.69 (step @p74 :rule cong :premises (@p73) :args ((forall @t15 (=> @t13 @t91)))) % 0.36/0.69 (step @p75 :rule trans :premises (@p74 @p72)) % 0.36/0.69 (step @p76 :rule bool-impl-elim :args (@t10 @t7)) % 0.36/0.69 (step @p77 :rule cong :premises (@p76) :args (@t12)) % 0.36/0.69 (step @p78 :rule refl :args (@t13)) % 0.36/0.69 (step @p79 :rule cong :premises (@p78 @p77) :args (@t14)) % 0.36/0.69 (step @p80 :rule cong :premises (@p79) :args (@t16)) % 0.36/0.69 (step @p81 :rule trans :premises (@p80 @p75)) % 0.36/0.69 (step @p82 :rule cong :premises (@p81) :args (@t17)) % 0.36/0.69 (step @p83 :rule eq_resolve :premises (@p1 @p82)) % 0.36/0.69 (step @p84 :rule skolemize :premises (@p83)) % 0.36/0.69 (step @p85 :rule bool-double-not-elim :args (@t93)) % 0.36/0.69 (step @p86 :rule refl :args (@t101)) % 0.36/0.69 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t101 (not @t98)))) % 0.36/0.69 (step @p88 :rule cnf_or_neg :args (@t101 1)) % 0.36/0.69 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.36/0.69 (step @p90 :rule reordering :premises (@p89) :args ((or @t93 @t101))) % 0.36/0.69 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t93 @t102 @t103)) % 0.36/0.69 (step @p92 :rule bool-double-not-elim :args (@t99)) % 0.36/0.69 (step @p93 :rule nary_cong :premises (@p86 @p92) :args ((or @t101 (not @t100)))) % 0.36/0.69 (step @p94 :rule cnf_or_neg :args (@t101 0)) % 0.36/0.69 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.36/0.69 (step @p96 :rule reordering :premises (@p95) :args ((or @t99 @t101))) % 0.36/0.69 (step @p97 :rule chain_m_resolution :premises (@p96 @p84) :args (@t99 @t102 @t103)) % 0.36/0.69 (step @p98 :rule cnf_or_pos :args (@t106)) % 0.36/0.69 (step @p99 :rule reordering :premises (@p98) :args ((or @t100 @t98 @t105 (not @t106)))) % 0.36/0.69 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p91 @p60) :args (@t105 @t107 (@list @t99 @t93 @t106))) % 0.36/0.69 (step @p101 :rule trans :premises (@p100 @p50)) % 0.36/0.69 (step @p102 :rule instantiate :premises (@p6) :args (@t74)) % 0.36/0.69 (step @p103 :rule aci_norm :args ((= (or @t108 @t42) (or @t68 @t90 @t42)))) % 0.36/0.69 (step @p104 :rule refl :args (@t42)) % 0.36/0.69 (step @p105 :rule bool-and-de-morgan :args (@t13 @t10 true)) % 0.36/0.69 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t109 @t42))) % 0.36/0.69 (step @p107 :rule trans :premises (@p106 @p103)) % 0.36/0.69 (step @p108 :rule bool-impl-elim :args (@t22 @t42)) % 0.36/0.69 (step @p109 :rule trans :premises (@p108 @p107)) % 0.36/0.69 (step @p110 :rule cong :premises (@p109) :args (@t43)) % 0.36/0.69 (step @p111 :rule eq_resolve :premises (@p30 @p110)) % 0.36/0.69 (step @p112 :rule instantiate :premises (@p111) :args (@t110)) % 0.36/0.69 (step @p113 :rule cnf_or_pos :args (@t112)) % 0.36/0.69 (step @p114 :rule reordering :premises (@p113) :args ((or @t100 @t98 @t111 (not @t112)))) % 0.36/0.69 (step @p115 :rule chain_m_resolution :premises (@p114 @p97 @p91 @p112) :args (@t111 @t107 (@list @t99 @t93 @t112))) % 0.36/0.69 (step @p116 :rule trans :premises (@p115 @p102)) % 0.36/0.69 (step @p117 :rule cong :premises (@p116 @p101) :args (@t113)) % 0.36/0.69 (step @p118 :rule aci_norm :args ((= @t119 (or @t68 @t117 @t116 @t115)))) % 0.36/0.69 (step @p119 :rule cong :premises (@p118) :args (@t120)) % 0.36/0.69 (step @p120 :rule quant-merge-prenex :args ((= (forall @t15 @t122) @t120))) % 0.36/0.69 (step @p121 :rule alpha_equiv :args (@t123 (@list @t114) @t88)) % 0.36/0.69 (step @p122 :rule nary_cong :premises (@p65 @p121) :args (@t124)) % 0.36/0.69 (step @p123 :rule quant-miniscope-or :args ((= @t122 @t124))) % 0.36/0.69 (step @p124 :rule trans :premises (@p123 @p122)) % 0.36/0.69 (step @p125 :rule symm :premises (@p124)) % 0.36/0.69 (step @p126 :rule cong :premises (@p125) :args ((forall @t15 (or @t68 @t127)))) % 0.36/0.69 (step @p127 :rule trans :premises (@p126 @p120)) % 0.36/0.69 (step @p128 :rule trans :premises (@p127 @p119)) % 0.36/0.69 (step @p129 :rule bool-impl-elim :args (@t13 @t127)) % 0.36/0.69 (step @p130 :rule cong :premises (@p129) :args ((forall @t15 (=> @t13 @t127)))) % 0.36/0.69 (step @p131 :rule trans :premises (@p130 @p128)) % 0.36/0.69 (step @p132 :rule aci_norm :args ((= (or @t90 (or @t125 @t48)) @t126))) % 0.36/0.69 (step @p133 :rule bool-impl-elim :args (@t49 @t48)) % 0.36/0.69 (step @p134 :rule refl :args (@t90)) % 0.36/0.69 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t90 @t50))) % 0.36/0.69 (step @p136 :rule trans :premises (@p135 @p132)) % 0.36/0.69 (step @p137 :rule bool-impl-elim :args (@t10 @t50)) % 0.36/0.69 (step @p138 :rule trans :premises (@p137 @p136)) % 0.36/0.69 (step @p139 :rule cong :premises (@p138) :args (@t51)) % 0.36/0.69 (step @p140 :rule cong :premises (@p78 @p139) :args (@t52)) % 0.36/0.69 (step @p141 :rule cong :premises (@p140) :args (@t53)) % 0.36/0.69 (step @p142 :rule trans :premises (@p141 @p131)) % 0.36/0.69 (step @p143 :rule eq_resolve :premises (@p41 @p142)) % 0.36/0.69 (step @p144 :rule instantiate :premises (@p143) :args ((@list @t79 @t94 @t104))) % 0.36/0.69 (step @p145 :rule cnf_or_neg :args (@t101 2)) % 0.36/0.69 (step @p146 :rule chain_m_resolution :premises (@p145 @p84) :args ((not @t97) @t102 @t103)) % 0.36/0.69 (step @p147 :rule false_intro :premises (@p146)) % 0.36/0.69 (step @p148 :rule refl :args (@t95)) % 0.36/0.69 (step @p149 :rule aci_norm :args ((= (or @t136 @t135 @t134 false @t133) (or @t136 @t135 @t134 @t133)))) % 0.36/0.69 (step @p150 :rule eq-symm :args (@t131 @t132)) % 0.36/0.69 (step @p151 :rule evaluate :args ((not true))) % 0.36/0.69 (step @p152 :rule eq-refl :args (@t130)) % 0.36/0.69 (step @p153 :rule cong :premises (@p152) :args (@t137)) % 0.36/0.69 (step @p154 :rule trans :premises (@p153 @p151)) % 0.36/0.69 (step @p155 :rule refl :args (@t134)) % 0.36/0.69 (step @p156 :rule refl :args (@t135)) % 0.36/0.69 (step @p157 :rule refl :args (@t136)) % 0.36/0.69 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154 @p150) :args (@t138)) % 0.36/0.69 (step @p159 :rule trans :premises (@p158 @p149)) % 0.36/0.69 (step @p160 :rule cong :premises (@p159) :args ((forall @t139 @t138))) % 0.36/0.69 (step @p161 :rule quant-var-elim-eq :args ((= (forall @t35 @t142) @t138))) % 0.36/0.69 (step @p162 :rule aci_norm :args ((= @t143 @t142))) % 0.36/0.69 (step @p163 :rule cong :premises (@p162) :args (@t144)) % 0.36/0.69 (step @p164 :rule trans :premises (@p163 @p161)) % 0.36/0.69 (step @p165 :rule cong :premises (@p164) :args (@t145)) % 0.36/0.69 (step @p166 :rule quant-merge-prenex :args ((= @t145 @t146))) % 0.36/0.69 (step @p167 :rule symm :premises (@p166)) % 0.36/0.69 (step @p168 :rule quant_var_reordering :args ((= (forall @t147 @t143) @t146))) % 0.36/0.69 (step @p169 :rule trans :premises (@p168 @p167 @p165)) % 0.36/0.69 (step @p170 :rule trans :premises (@p169 @p160)) % 0.36/0.69 (step @p171 :rule aci_norm :args ((= @t149 @t143))) % 0.36/0.69 (step @p172 :rule cong :premises (@p171) :args (@t150)) % 0.36/0.69 (step @p173 :rule trans :premises (@p172 @p170)) % 0.36/0.69 (step @p174 :rule quant-merge-prenex :args ((= (forall @t15 @t152) @t150))) % 0.36/0.69 (step @p175 :rule alpha_equiv :args (@t153 (@list @t129 @t128) (@list @t1 @t154))) % 0.36/0.69 (step @p176 :rule nary_cong :premises (@p65 @p175) :args (@t155)) % 0.36/0.69 (step @p177 :rule quant-miniscope-or :args ((= @t152 @t155))) % 0.36/0.69 (step @p178 :rule trans :premises (@p177 @p176)) % 0.36/0.69 (step @p179 :rule symm :premises (@p178)) % 0.36/0.69 (step @p180 :rule cong :premises (@p179) :args ((forall @t15 (or @t68 @t161)))) % 0.36/0.69 (step @p181 :rule trans :premises (@p180 @p174)) % 0.36/0.69 (step @p182 :rule trans :premises (@p181 @p173)) % 0.36/0.69 (step @p183 :rule bool-impl-elim :args (@t13 @t161)) % 0.36/0.69 (step @p184 :rule cong :premises (@p183) :args ((forall @t15 (=> @t13 @t161)))) % 0.36/0.69 (step @p185 :rule trans :premises (@p184 @p182)) % 0.36/0.69 (step @p186 :rule aci_norm :args ((= @t163 @t159))) % 0.36/0.69 (step @p187 :rule cong :premises (@p186) :args (@t164)) % 0.36/0.69 (step @p188 :rule quant-merge-prenex :args ((= (forall @t11 @t166) @t164))) % 0.36/0.69 (step @p189 :rule alpha_equiv :args (@t167 (@list @t154) (@list @t54))) % 0.36/0.69 (step @p190 :rule nary_cong :premises (@p134 @p189) :args (@t168)) % 0.36/0.69 (step @p191 :rule quant-miniscope-or :args ((= @t166 @t168))) % 0.36/0.69 (step @p192 :rule trans :premises (@p191 @p190)) % 0.36/0.69 (step @p193 :rule symm :premises (@p192)) % 0.36/0.69 (step @p194 :rule cong :premises (@p193) :args ((forall @t11 (or @t90 @t172)))) % 0.36/0.69 (step @p195 :rule trans :premises (@p194 @p188)) % 0.36/0.69 (step @p196 :rule trans :premises (@p195 @p187)) % 0.36/0.69 (step @p197 :rule bool-impl-elim :args (@t10 @t172)) % 0.36/0.69 (step @p198 :rule cong :premises (@p197) :args ((forall @t11 (=> @t10 @t172)))) % 0.36/0.69 (step @p199 :rule trans :premises (@p198 @p196)) % 0.36/0.69 (step @p200 :rule aci_norm :args ((= (or @t170 (or @t169 @t55)) @t171))) % 0.36/0.69 (step @p201 :rule bool-impl-elim :args (@t56 @t55)) % 0.36/0.69 (step @p202 :rule refl :args (@t170)) % 0.36/0.69 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t170 @t57))) % 0.36/0.69 (step @p204 :rule trans :premises (@p203 @p200)) % 0.36/0.69 (step @p205 :rule bool-impl-elim :args (@t58 @t57)) % 0.36/0.69 (step @p206 :rule trans :premises (@p205 @p204)) % 0.36/0.69 (step @p207 :rule cong :premises (@p206) :args (@t60)) % 0.36/0.69 (step @p208 :rule refl :args (@t10)) % 0.36/0.69 (step @p209 :rule cong :premises (@p208 @p207) :args (@t61)) % 0.36/0.69 (step @p210 :rule cong :premises (@p209) :args (@t62)) % 0.36/0.69 (step @p211 :rule trans :premises (@p210 @p199)) % 0.36/0.69 (step @p212 :rule cong :premises (@p78 @p211) :args (@t63)) % 0.36/0.69 (step @p213 :rule cong :premises (@p212) :args (@t64)) % 0.36/0.69 (step @p214 :rule trans :premises (@p213 @p185)) % 0.36/0.69 (step @p215 :rule eq_resolve :premises (@p46 @p214)) % 0.36/0.69 (step @p216 :rule instantiate :premises (@p215) :args (@t110)) % 0.36/0.69 (step @p217 :rule aci_norm :args ((= (or @t77 @t33) (or @t76 @t75 @t33)))) % 0.36/0.69 (step @p218 :rule refl :args (@t33)) % 0.36/0.69 (step @p219 :rule nary_cong :premises (@p53 @p218) :args ((or @t78 @t33))) % 0.36/0.69 (step @p220 :rule trans :premises (@p219 @p217)) % 0.36/0.69 (step @p221 :rule bool-impl-elim :args (@t29 @t33)) % 0.36/0.69 (step @p222 :rule trans :premises (@p221 @p220)) % 0.36/0.69 (step @p223 :rule cong :premises (@p222) :args (@t34)) % 0.36/0.69 (step @p224 :rule eq_resolve :premises (@p11 @p223)) % 0.36/0.69 (step @p225 :rule instantiate :premises (@p224) :args (@t81)) % 0.36/0.69 (step @p226 :rule cnf_or_pos :args (@t174)) % 0.36/0.69 (step @p227 :rule reordering :premises (@p226) :args ((or @t100 @t98 @t173 (not @t174)))) % 0.36/0.69 (step @p228 :rule chain_m_resolution :premises (@p227 @p97 @p91 @p225) :args (@t173 @t107 (@list @t99 @t93 @t174))) % 0.36/0.69 (step @p229 :rule cnf_or_pos :args (@t178)) % 0.36/0.69 (step @p230 :rule reordering :premises (@p229) :args ((or @t100 @t98 @t177 @t176 (not @t178)))) % 0.36/0.69 (step @p231 :rule chain_m_resolution :premises (@p230 @p97 @p91 @p228 @p216) :args (@t176 (@list false false false false) (@list @t99 @t93 @t173 @t178))) % 0.36/0.69 (step @p232 :rule symm :premises (@p231)) % 0.36/0.69 (step @p233 :rule cong :premises (@p232 @p148) :args (@t179)) % 0.36/0.69 (step @p234 :rule trans :premises (@p233 @p147)) % 0.36/0.69 (step @p235 :rule false_elim :premises (@p234)) % 0.36/0.69 (step @p236 :rule aci_norm :args ((= (or @t108 @t31) (or @t68 @t90 @t31)))) % 0.36/0.69 (step @p237 :rule refl :args (@t31)) % 0.36/0.69 (step @p238 :rule nary_cong :premises (@p105 @p237) :args ((or @t109 @t31))) % 0.36/0.69 (step @p239 :rule trans :premises (@p238 @p236)) % 0.36/0.69 (step @p240 :rule bool-impl-elim :args (@t22 @t31)) % 0.36/0.69 (step @p241 :rule trans :premises (@p240 @p239)) % 0.36/0.69 (step @p242 :rule cong :premises (@p241) :args (@t32)) % 0.36/0.69 (step @p243 :rule eq_resolve :premises (@p9 @p242)) % 0.36/0.69 (step @p244 :rule instantiate :premises (@p243) :args (@t110)) % 0.36/0.69 (step @p245 :rule cnf_or_pos :args (@t181)) % 0.36/0.69 (step @p246 :rule reordering :premises (@p245) :args ((or @t100 @t98 @t180 (not @t181)))) % 0.36/0.69 (step @p247 :rule chain_m_resolution :premises (@p246 @p97 @p91 @p244) :args (@t180 @t107 (@list @t99 @t93 @t181))) % 0.36/0.69 (step @p248 :rule cnf_or_pos :args (@t184)) % 0.36/0.69 (step @p249 :rule reordering :premises (@p248) :args ((or @t183 @t177 @t182 @t179 (not @t184)))) % 0.36/0.69 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p228 @p235 @p144) :args (@t182 (@list false false true false) (@list @t180 @t173 @t179 @t184))) % 0.36/0.69 (step @p251 :rule false_intro :premises (@p250)) % 0.36/0.69 (step @p252 :rule symm :premises (@p251)) % 0.36/0.69 (step @p253 :rule trans :premises (@p252 @p117 @p49)) % 0.36/0.69 (step @p254 false :rule eq_resolve :premises (@p253 @p47)) % 0.36/0.69 ) % 0.36/0.69 % SZS output end Proof % 0.36/0.69 % cvc5 exiting %------------------------------------------------------------------------------