%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP028+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 : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:15:47 AM UTC 2026 % Result : Theorem 0.39s 0.77s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP028+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 % 0.17/0.35 % Computer : n021.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:19:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.77 % SZS status Theorem % 0.39/0.77 % SZS output start Proof % 0.39/0.77 ( % 0.39/0.77 (declare-sort $$unsorted 0) % 0.39/0.77 (declare-const tptp.v3_tex_2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_tsp_1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.39/0.77 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.39/0.77 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.39/0.77 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.k1_pre_topc (-> $$unsorted $$unsorted)) % 0.39/0.77 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v1_tsp_2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.77 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.39/0.77 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.77 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.77 (define @t3 () (tptp.v1_tsp_2 @t2 @t1)) % 0.39/0.77 (define @t4 () (tptp.u1_struct_0 @t1)) % 0.39/0.77 (define @t5 () (tptp.k1_zfmisc_1 @t4)) % 0.39/0.77 (define @t6 () (tptp.m1_subset_1 @t2 @t5)) % 0.39/0.77 (define @t7 () (and @t6 @t3)) % 0.39/0.77 (define @t8 () (@list @t2)) % 0.39/0.77 (define @t9 () (exists @t8 @t7)) % 0.39/0.77 (define @t10 () (tptp.l1_pre_topc @t1)) % 0.39/0.77 (define @t11 () (tptp.v2_pre_topc @t1)) % 0.39/0.77 (define @t12 () (tptp.v3_struct_0 @t1)) % 0.39/0.77 (define @t13 () (not @t12)) % 0.39/0.77 (define @t14 () (and @t13 @t11 @t10)) % 0.39/0.77 (define @t15 () (=> @t14 @t9)) % 0.39/0.77 (define @t16 () (@list @t1)) % 0.39/0.77 (define @t17 () (forall @t16 @t15)) % 0.39/0.77 (define @t18 () (not @t17)) % 0.39/0.77 (define @t19 () (tptp.r2_hidden @t1 @t2)) % 0.39/0.77 (define @t20 () (@list @t1 @t2)) % 0.39/0.77 (define @t21 () (tptp.v1_xcmplx_0 @t2)) % 0.39/0.77 (define @t22 () (tptp.m1_subset_1 @t2 @t1)) % 0.39/0.77 (define @t23 () (tptp.v1_membered @t1)) % 0.39/0.77 (define @t24 () (tptp.v1_xreal_0 @t2)) % 0.39/0.77 (define @t25 () (tptp.v2_membered @t1)) % 0.39/0.77 (define @t26 () (tptp.v1_rat_1 @t2)) % 0.39/0.77 (define @t27 () (tptp.v3_membered @t1)) % 0.39/0.77 (define @t28 () (tptp.v1_int_1 @t2)) % 0.39/0.77 (define @t29 () (tptp.v4_membered @t1)) % 0.39/0.77 (define @t30 () (tptp.v5_membered @t1)) % 0.39/0.77 (define @t31 () (tptp.v1_xboole_0 @t1)) % 0.39/0.77 (define @t32 () (tptp.v1_membered @t2)) % 0.39/0.77 (define @t33 () (tptp.k1_zfmisc_1 @t1)) % 0.39/0.77 (define @t34 () (tptp.m1_subset_1 @t2 @t33)) % 0.39/0.77 (define @t35 () (tptp.v2_membered @t2)) % 0.39/0.77 (define @t36 () (tptp.v3_membered @t2)) % 0.39/0.77 (define @t37 () (tptp.v4_membered @t2)) % 0.39/0.77 (define @t38 () (tptp.v4_pre_topc @t2 @t1)) % 0.39/0.77 (define @t39 () (tptp.v3_pre_topc @t2 @t1)) % 0.39/0.77 (define @t40 () (tptp.v1_xboole_0 @t2)) % 0.39/0.77 (define @t41 () (and @t11 @t10)) % 0.39/0.77 (define @t42 () (tptp.v5_membered @t2)) % 0.39/0.77 (define @t43 () (tptp.v2_tops_1 @t2 @t1)) % 0.39/0.77 (define @t44 () (tptp.v3_tops_1 @t2 @t1)) % 0.39/0.77 (define @t45 () (tptp.k1_pre_topc @t1)) % 0.39/0.77 (define @t46 () (tptp.l1_struct_0 @t1)) % 0.39/0.77 (define @t47 () (tptp.v5_membered @t45)) % 0.39/0.77 (define @t48 () (tptp.v4_membered @t45)) % 0.39/0.77 (define @t49 () (tptp.v3_membered @t45)) % 0.39/0.77 (define @t50 () (tptp.v2_membered @t45)) % 0.39/0.77 (define @t51 () (tptp.v1_membered @t45)) % 0.39/0.77 (define @t52 () (tptp.v1_xboole_0 @t45)) % 0.39/0.77 (define @t53 () (and @t13 @t46)) % 0.39/0.77 (define @t54 () (tptp.v4_pre_topc @t45 @t1)) % 0.39/0.77 (define @t55 () (not @t31)) % 0.39/0.77 (define @t56 () (not @t40)) % 0.39/0.77 (define @t57 () (and @t6 @t40 @t32 @t35 @t36 @t37 @t42 @t43)) % 0.39/0.77 (define @t58 () (exists @t8 @t57)) % 0.39/0.77 (define @t59 () (=> @t10 @t58)) % 0.39/0.77 (define @t60 () (forall @t16 @t59)) % 0.39/0.77 (define @t61 () (tptp.v1_tsp_1 @t2 @t1)) % 0.39/0.77 (define @t62 () (tptp.v3_tex_2 @t2 @t1)) % 0.39/0.77 (define @t63 () (=> @t62 @t61)) % 0.39/0.77 (define @t64 () (forall @t8 (=> @t6 @t63))) % 0.39/0.77 (define @t65 () (and @t13 @t10)) % 0.39/0.77 (define @t66 () (=> @t65 @t64)) % 0.39/0.77 (define @t67 () (forall @t16 @t66)) % 0.39/0.77 (define @t68 () (tptp.m1_subset_1 @t1 @t2)) % 0.39/0.77 (define @t69 () (and @t40 @t6)) % 0.39/0.77 (define @t70 () (forall @t8 (=> @t69 @t62))) % 0.39/0.77 (define @t71 () (=> @t14 @t70)) % 0.39/0.77 (define @t72 () (forall @t16 @t71)) % 0.39/0.77 (define @t73 () (@var "C" $$unsorted)) % 0.39/0.77 (define @t74 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t73))) % 0.39/0.77 (define @t75 () (@list @t1 @t2 @t73)) % 0.39/0.77 (define @t76 () (tptp.v1_tsp_2 @t73 @t1)) % 0.39/0.77 (define @t77 () (tptp.r1_tarski @t2 @t73)) % 0.39/0.77 (define @t78 () (not (and @t77 @t76))) % 0.39/0.77 (define @t79 () (tptp.m1_subset_1 @t73 @t5)) % 0.39/0.77 (define @t80 () (@list @t73)) % 0.39/0.77 (define @t81 () (forall @t80 (=> @t79 @t78))) % 0.39/0.77 (define @t82 () (and @t61 @t81)) % 0.39/0.77 (define @t83 () (not @t82)) % 0.39/0.77 (define @t84 () (=> @t6 @t83)) % 0.39/0.77 (define @t85 () (forall @t8 @t84)) % 0.39/0.77 (define @t86 () (=> @t14 @t85)) % 0.39/0.77 (define @t87 () (forall @t16 @t86)) % 0.39/0.77 (define @t88 () (not @t6)) % 0.39/0.77 (define @t89 () (not (forall @t8 (or @t88 (not @t3))))) % 0.39/0.77 (define @t90 () (not @t10)) % 0.39/0.77 (define @t91 () (not @t11)) % 0.39/0.77 (define @t92 () (or @t12 @t91 @t90 @t89)) % 0.39/0.77 (define @t93 () (or @t12 @t91 @t90)) % 0.39/0.77 (define @t94 () (not @t13)) % 0.39/0.77 (define @t95 () (or @t94 @t91 @t90)) % 0.39/0.77 (define @t96 () (not @t14)) % 0.39/0.77 (define @t97 () (forall @t8 (not @t7))) % 0.39/0.77 (define @t98 () (not @t97)) % 0.39/0.77 (define @t99 () (@quantifiers_skolemize (forall @t16 @t92) 0)) % 0.39/0.77 (define @t100 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t99))) % 0.39/0.77 (define @t101 () (not (tptp.m1_subset_1 @t2 @t100))) % 0.39/0.77 (define @t102 () (forall @t8 (or @t101 (not (tptp.v1_tsp_2 @t2 @t99))))) % 0.39/0.77 (define @t103 () (not @t102)) % 0.39/0.77 (define @t104 () (tptp.l1_pre_topc @t99)) % 0.39/0.77 (define @t105 () (not @t104)) % 0.39/0.77 (define @t106 () (tptp.v2_pre_topc @t99)) % 0.39/0.77 (define @t107 () (not @t106)) % 0.39/0.77 (define @t108 () (tptp.v3_struct_0 @t99)) % 0.39/0.77 (define @t109 () (or @t108 @t107 @t105 @t103)) % 0.39/0.77 (define @t110 () (@list true)) % 0.39/0.77 (define @t111 () (@list @t109)) % 0.39/0.77 (define @t112 () (not @t76)) % 0.39/0.77 (define @t113 () (@var "BOUND_VARIABLE_8389" $$unsorted)) % 0.39/0.77 (define @t114 () (not @t79)) % 0.39/0.77 (define @t115 () (not (forall @t80 (or @t114 (not (tptp.r1_tarski @t113 @t73)) @t112)))) % 0.39/0.77 (define @t116 () (not (tptp.v1_tsp_1 @t113 @t1))) % 0.39/0.77 (define @t117 () (not (tptp.m1_subset_1 @t113 @t5))) % 0.39/0.77 (define @t118 () (or @t117 @t116 @t115)) % 0.39/0.77 (define @t119 () (or @t12 @t91 @t90 @t118)) % 0.39/0.77 (define @t120 () (forall (@list @t1 @t113) @t119)) % 0.39/0.77 (define @t121 () (@list @t113)) % 0.39/0.77 (define @t122 () (forall @t121 @t119)) % 0.39/0.77 (define @t123 () (forall @t121 @t118)) % 0.39/0.77 (define @t124 () (@list @t2)) % 0.39/0.77 (define @t125 () (or @t12 @t91 @t90 @t123)) % 0.39/0.77 (define @t126 () (not @t77)) % 0.39/0.77 (define @t127 () (or @t114 @t126 @t112)) % 0.39/0.77 (define @t128 () (forall @t80 @t127)) % 0.39/0.77 (define @t129 () (not @t128)) % 0.39/0.77 (define @t130 () (not @t61)) % 0.39/0.77 (define @t131 () (or @t88 @t130 @t129)) % 0.39/0.77 (define @t132 () (forall @t8 @t131)) % 0.39/0.77 (define @t133 () (or @t12 @t91 @t90 @t132)) % 0.39/0.77 (define @t134 () (not (and @t61 @t128))) % 0.39/0.77 (define @t135 () (not @t42)) % 0.39/0.77 (define @t136 () (not @t37)) % 0.39/0.77 (define @t137 () (not @t36)) % 0.39/0.77 (define @t138 () (not @t35)) % 0.39/0.77 (define @t139 () (not @t32)) % 0.39/0.77 (define @t140 () (forall @t8 (or @t101 @t56 @t139 @t138 @t137 @t136 @t135 (not (tptp.v2_tops_1 @t2 @t99))))) % 0.39/0.77 (define @t141 () (@quantifiers_skolemize @t140 0)) % 0.39/0.77 (define @t142 () (@list @t99 @t141)) % 0.39/0.77 (define @t143 () (@var "BOUND_VARIABLE_8308" $$unsorted)) % 0.39/0.77 (define @t144 () (tptp.v1_tsp_1 @t143 @t1)) % 0.39/0.77 (define @t145 () (not (tptp.v3_tex_2 @t143 @t1))) % 0.39/0.77 (define @t146 () (not (tptp.m1_subset_1 @t143 @t5))) % 0.39/0.77 (define @t147 () (or @t146 @t145 @t144)) % 0.39/0.77 (define @t148 () (or @t12 @t90 @t147)) % 0.39/0.77 (define @t149 () (forall (@list @t1 @t143) @t148)) % 0.39/0.77 (define @t150 () (@list @t143)) % 0.39/0.77 (define @t151 () (forall @t150 @t148)) % 0.39/0.77 (define @t152 () (forall @t150 @t147)) % 0.39/0.77 (define @t153 () (or @t12 @t90 @t152)) % 0.39/0.77 (define @t154 () (not @t62)) % 0.39/0.77 (define @t155 () (or @t88 @t154 @t61)) % 0.39/0.77 (define @t156 () (forall @t8 @t155)) % 0.39/0.77 (define @t157 () (or @t12 @t90 @t156)) % 0.39/0.77 (define @t158 () (@var "BOUND_VARIABLE_8337" $$unsorted)) % 0.39/0.77 (define @t159 () (tptp.v3_tex_2 @t158 @t1)) % 0.39/0.77 (define @t160 () (not (tptp.m1_subset_1 @t158 @t5))) % 0.39/0.77 (define @t161 () (not (tptp.v1_xboole_0 @t158))) % 0.39/0.77 (define @t162 () (or @t161 @t160 @t159)) % 0.39/0.77 (define @t163 () (or @t12 @t91 @t90 @t162)) % 0.39/0.77 (define @t164 () (forall (@list @t1 @t158) @t163)) % 0.39/0.77 (define @t165 () (@list @t158)) % 0.39/0.77 (define @t166 () (forall @t165 @t163)) % 0.39/0.77 (define @t167 () (forall @t165 @t162)) % 0.39/0.77 (define @t168 () (or @t12 @t91 @t90 @t167)) % 0.39/0.77 (define @t169 () (or @t56 @t88 @t62)) % 0.39/0.77 (define @t170 () (forall @t8 @t169)) % 0.39/0.77 (define @t171 () (or @t12 @t91 @t90 @t170)) % 0.39/0.77 (define @t172 () (not @t43)) % 0.39/0.77 (define @t173 () (or @t88 @t56 @t139 @t138 @t137 @t136 @t135 @t172)) % 0.39/0.77 (define @t174 () (not (forall @t8 @t173))) % 0.39/0.77 (define @t175 () (forall @t8 (not @t57))) % 0.39/0.77 (define @t176 () (not @t175)) % 0.39/0.77 (define @t177 () (not @t140)) % 0.39/0.77 (define @t178 () (or @t105 @t177)) % 0.39/0.77 (define @t179 () (@list false false)) % 0.39/0.77 (define @t180 () (tptp.v1_xboole_0 @t141)) % 0.39/0.77 (define @t181 () (not @t180)) % 0.39/0.77 (define @t182 () (tptp.m1_subset_1 @t141 @t100)) % 0.39/0.77 (define @t183 () (not @t182)) % 0.39/0.77 (define @t184 () (or @t183 @t181 (not (tptp.v1_membered @t141)) (not (tptp.v2_membered @t141)) (not (tptp.v3_membered @t141)) (not (tptp.v4_membered @t141)) (not (tptp.v5_membered @t141)) (not (tptp.v2_tops_1 @t141 @t99)))) % 0.39/0.77 (define @t185 () (@list @t184)) % 0.39/0.77 (define @t186 () (tptp.v3_tex_2 @t141 @t99)) % 0.39/0.77 (define @t187 () (or @t108 @t107 @t105 @t181 @t183 @t186)) % 0.39/0.77 (define @t188 () (@list true false false false false false)) % 0.39/0.77 (define @t189 () (tptp.v1_tsp_1 @t141 @t99)) % 0.39/0.77 (define @t190 () (not @t186)) % 0.39/0.77 (define @t191 () (or @t108 @t105 @t183 @t190 @t189)) % 0.39/0.77 (define @t192 () (forall @t80 (or (not (tptp.m1_subset_1 @t73 @t100)) (not (tptp.r1_tarski @t141 @t73)) (not (tptp.v1_tsp_2 @t73 @t99))))) % 0.39/0.77 (define @t193 () (not @t192)) % 0.39/0.77 (define @t194 () (not @t189)) % 0.39/0.77 (define @t195 () (or @t108 @t107 @t105 @t183 @t194 @t193)) % 0.39/0.77 (define @t196 () (@quantifiers_skolemize @t192 0)) % 0.39/0.77 (define @t197 () (tptp.v1_tsp_2 @t196 @t99)) % 0.39/0.77 (define @t198 () (not @t197)) % 0.39/0.77 (define @t199 () (tptp.m1_subset_1 @t196 @t100)) % 0.39/0.77 (define @t200 () (not @t199)) % 0.39/0.77 (define @t201 () (or @t200 (not (tptp.r1_tarski @t141 @t196)) @t198)) % 0.39/0.77 (define @t202 () (@list @t201)) % 0.39/0.77 (define @t203 () (or @t200 @t198)) % 0.39/0.77 (define @t204 () (not @t203)) % 0.39/0.77 (assume @p1 @t18) % 0.39/0.77 (assume @p2 (forall @t20 (=> @t19 (not (tptp.r2_hidden @t2 @t1))))) % 0.39/0.77 (assume @p3 (forall @t16 (=> @t23 (forall @t8 (=> @t22 @t21))))) % 0.39/0.77 (assume @p4 (forall @t16 (=> @t25 (forall @t8 (=> @t22 (and @t21 @t24)))))) % 0.39/0.77 (assume @p5 (forall @t16 (=> @t27 (forall @t8 (=> @t22 (and @t21 @t24 @t26)))))) % 0.39/0.77 (assume @p6 (forall @t16 (=> @t29 (forall @t8 (=> @t22 (and @t21 @t24 @t28 @t26)))))) % 0.39/0.77 (assume @p7 (forall @t16 (=> @t30 (forall @t8 (=> @t22 (and @t21 (tptp.v4_ordinal2 @t2) @t24 @t28 @t26)))))) % 0.39/0.77 (assume @p8 (forall @t16 (=> @t31 (and @t23 @t25 @t27 @t29 @t30)))) % 0.39/0.77 (assume @p9 (forall @t16 (=> @t23 (forall @t8 (=> @t34 @t32))))) % 0.39/0.77 (assume @p10 (forall @t16 (=> @t25 (forall @t8 (=> @t34 (and @t32 @t35)))))) % 0.39/0.77 (assume @p11 (forall @t16 (=> @t27 (forall @t8 (=> @t34 (and @t32 @t35 @t36)))))) % 0.39/0.77 (assume @p12 (forall @t16 (=> @t29 (forall @t8 (=> @t34 (and @t32 @t35 @t36 @t37)))))) % 0.39/0.77 (assume @p13 (forall @t16 (=> @t30 @t29))) % 0.39/0.77 (assume @p14 (forall @t16 (=> @t41 (forall @t8 (=> @t6 (=> @t40 (and @t39 @t38))))))) % 0.39/0.77 (assume @p15 (forall @t16 (=> @t30 (forall @t8 (=> 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(tptp.r1_tarski @t1 @t2)))) % 0.39/0.77 (assume @p54 (forall @t75 (=> (and @t19 @t74) (tptp.m1_subset_1 @t1 @t73)))) % 0.39/0.77 (assume @p55 (forall @t75 (not (and @t19 @t74 (tptp.v1_xboole_0 @t73))))) % 0.39/0.77 (assume @p56 (forall @t16 (=> @t31 (= @t1 tptp.k1_xboole_0)))) % 0.39/0.77 (assume @p57 (forall @t20 (not (and @t19 @t40)))) % 0.39/0.77 (assume @p58 (forall @t20 (not (and @t31 (not (= @t1 @t2)) @t40)))) % 0.39/0.77 (assume @p59 @t87) % 0.39/0.77 (step @p60 :rule aci_norm :args ((= (or @t93 @t89) @t92))) % 0.39/0.77 (step @p61 :rule refl :args (@t89)) % 0.39/0.77 (step @p62 :rule refl :args (@t90)) % 0.39/0.77 (step @p63 :rule refl :args (@t91)) % 0.39/0.77 (step @p64 :rule bool-double-not-elim :args (@t12)) % 0.39/0.77 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62) :args (@t95)) % 0.39/0.77 (step @p66 :rule aci_norm :args ((= (or @t94 (or @t91 @t90)) @t95))) % 0.39/0.77 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.77 (step @p68 :rule bool-and-de-morgan 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:rule cong :premises (@p197) :args ((forall @t16 (=> @t14 @t170)))) % 0.39/0.77 (step @p199 :rule trans :premises (@p198 @p191)) % 0.39/0.77 (step @p200 :rule aci_norm :args ((= (or (or @t56 @t88) @t62) @t169))) % 0.39/0.77 (step @p201 :rule refl :args (@t62)) % 0.39/0.77 (step @p202 :rule bool-and-de-morgan :args (@t40 @t6 true)) % 0.39/0.77 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t69) @t62))) % 0.39/0.77 (step @p204 :rule trans :premises (@p203 @p200)) % 0.39/0.77 (step @p205 :rule bool-impl-elim :args (@t69 @t62)) % 0.39/0.77 (step @p206 :rule trans :premises (@p205 @p204)) % 0.39/0.77 (step @p207 :rule cong :premises (@p206) :args (@t70)) % 0.39/0.77 (step @p208 :rule cong :premises (@p84 @p207) :args (@t71)) % 0.39/0.77 (step @p209 :rule cong :premises (@p208) :args (@t72)) % 0.39/0.77 (step @p210 :rule trans :premises (@p209 @p199)) % 0.39/0.77 (step @p211 :rule eq_resolve :premises (@p52 @p210)) % 0.39/0.77 (step @p212 :rule instantiate :premises (@p211) :args (@t142)) % 0.39/0.77 (step @p213 :rule bool-impl-elim :args (@t10 @t174)) % 0.39/0.77 (step @p214 :rule cong :premises (@p213) :args ((forall @t16 (=> @t10 @t174)))) % 0.39/0.77 (step @p215 :rule aci_norm :args ((= (or @t88 (or @t56 (or @t139 (or @t138 (or @t137 (or @t136 (or @t135 @t172))))))) @t173))) % 0.39/0.77 (step @p216 :rule bool-and-de-morgan :args (@t42 @t43 true)) % 0.39/0.77 (step @p217 :rule refl :args (@t136)) % 0.39/0.77 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t136 (not (and @t42 @t43))))) % 0.39/0.77 (step @p219 :rule bool-and-de-morgan :args (@t37 @t42 (and @t43))) % 0.39/0.77 (step @p220 :rule trans :premises (@p219 @p218)) % 0.39/0.77 (step @p221 :rule refl :args (@t137)) % 0.39/0.77 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t137 (not (and @t37 @t42 @t43))))) % 0.39/0.77 (step @p223 :rule bool-and-de-morgan :args (@t36 @t37 (and @t42 @t43))) % 0.39/0.77 (step @p224 :rule trans :premises (@p223 @p222)) % 0.39/0.77 (step @p225 :rule refl :args (@t138)) % 0.39/0.77 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t138 (not (and @t36 @t37 @t42 @t43))))) % 0.39/0.77 (step @p227 :rule bool-and-de-morgan :args (@t35 @t36 (and @t37 @t42 @t43))) % 0.39/0.77 (step @p228 :rule trans :premises (@p227 @p226)) % 0.39/0.77 (step @p229 :rule refl :args (@t139)) % 0.39/0.77 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t139 (not (and @t35 @t36 @t37 @t42 @t43))))) % 0.39/0.77 (step @p231 :rule bool-and-de-morgan :args (@t32 @t35 (and @t36 @t37 @t42 @t43))) % 0.39/0.77 (step @p232 :rule trans :premises (@p231 @p230)) % 0.39/0.77 (step @p233 :rule refl :args (@t56)) % 0.39/0.77 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t56 (not (and @t32 @t35 @t36 @t37 @t42 @t43))))) % 0.39/0.77 (step @p235 :rule bool-and-de-morgan :args (@t40 @t32 (and @t35 @t36 @t37 @t42 @t43))) % 0.39/0.77 (step @p236 :rule trans :premises (@p235 @p234)) % 0.39/0.77 (step @p237 :rule nary_cong :premises (@p120 @p236) :args ((or @t88 (not (and @t40 @t32 @t35 @t36 @t37 @t42 @t43))))) % 0.39/0.77 (step @p238 :rule bool-and-de-morgan :args (@t6 @t40 (and @t32 @t35 @t36 @t37 @t42 @t43))) % 0.39/0.77 (step @p239 :rule trans :premises (@p238 @p237)) % 0.39/0.77 (step @p240 :rule trans :premises (@p239 @p215)) % 0.39/0.77 (step @p241 :rule cong :premises (@p240) :args (@t175)) % 0.39/0.77 (step @p242 :rule cong :premises (@p241) :args (@t176)) % 0.39/0.77 (step @p243 :rule exists-elim :args ((= @t58 @t176))) % 0.39/0.77 (step @p244 :rule trans :premises (@p243 @p242)) % 0.39/0.77 (step @p245 :rule refl :args (@t10)) % 0.39/0.77 (step @p246 :rule cong :premises (@p245 @p244) :args (@t59)) % 0.39/0.77 (step @p247 :rule cong :premises (@p246) :args (@t60)) % 0.39/0.77 (step @p248 :rule trans :premises (@p247 @p214)) % 0.39/0.77 (step @p249 :rule eq_resolve :premises (@p43 @p248)) % 0.39/0.77 (step @p250 :rule instantiate :premises (@p249) :args ((@list @t99))) % 0.39/0.77 (step @p251 :rule bool-double-not-elim :args (@t104)) % 0.39/0.77 (step @p252 :rule nary_cong :premises (@p92 @p251) :args ((or @t109 (not @t105)))) % 0.39/0.77 (step @p253 :rule cnf_or_neg :args (@t109 2)) % 0.39/0.77 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 0.39/0.77 (step @p255 :rule reordering :premises (@p254) :args ((or @t104 @t109))) % 0.39/0.77 (step @p256 :rule chain_m_resolution :premises (@p255 @p90) :args (@t104 @t110 @t111)) % 0.39/0.77 (step @p257 :rule cnf_or_pos :args (@t178)) % 0.39/0.77 (step @p258 :rule reordering :premises (@p257) :args ((or @t105 @t177 (not @t178)))) % 0.39/0.77 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p250) :args (@t177 @t179 (@list @t104 @t178))) % 0.39/0.77 (step @p260 :rule skolemize :premises (@p259)) % 0.39/0.77 (step @p261 :rule bool-double-not-elim :args (@t180)) % 0.39/0.77 (step @p262 :rule refl :args (@t184)) % 0.39/0.77 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t184 (not @t181)))) % 0.39/0.77 (step @p264 :rule cnf_or_neg :args (@t184 1)) % 0.39/0.77 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 0.39/0.77 (step @p266 :rule reordering :premises (@p265) :args ((or @t180 @t184))) % 0.39/0.77 (step @p267 :rule chain_m_resolution :premises (@p266 @p260) :args (@t180 @t110 @t185)) % 0.39/0.77 (step @p268 :rule bool-double-not-elim :args (@t182)) % 0.39/0.77 (step @p269 :rule nary_cong :premises (@p262 @p268) :args ((or @t184 (not @t183)))) % 0.39/0.77 (step @p270 :rule cnf_or_neg :args (@t184 0)) % 0.39/0.77 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.39/0.77 (step @p272 :rule reordering :premises (@p271) :args ((or @t182 @t184))) % 0.39/0.77 (step @p273 :rule chain_m_resolution :premises (@p272 @p260) :args (@t182 @t110 @t185)) % 0.39/0.77 (step @p274 :rule bool-double-not-elim :args (@t106)) % 0.39/0.77 (step @p275 :rule nary_cong :premises (@p92 @p274) :args ((or @t109 (not @t107)))) % 0.39/0.77 (step @p276 :rule cnf_or_neg :args (@t109 1)) % 0.39/0.77 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.39/0.77 (step @p278 :rule reordering :premises (@p277) :args ((or @t106 @t109))) % 0.39/0.77 (step @p279 :rule chain_m_resolution :premises (@p278 @p90) :args (@t106 @t110 @t111)) % 0.39/0.77 (step @p280 :rule cnf_or_neg :args (@t109 0)) % 0.39/0.77 (step @p281 :rule chain_m_resolution :premises (@p280 @p90) :args ((not @t108) @t110 @t111)) % 0.39/0.77 (step @p282 :rule cnf_or_pos :args (@t187)) % 0.39/0.77 (step @p283 :rule reordering :premises (@p282) :args ((or @t108 @t107 @t105 @t183 @t181 @t186 (not @t187)))) % 0.39/0.77 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p279 @p256 @p273 @p267 @p212) :args (@t186 @t188 (@list @t108 @t106 @t104 @t182 @t180 @t187))) % 0.39/0.77 (step @p285 :rule cnf_or_pos :args (@t191)) % 0.39/0.77 (step @p286 :rule reordering :premises (@p285) :args ((or @t108 @t105 @t183 @t190 @t189 (not @t191)))) % 0.39/0.77 (step @p287 :rule chain_m_resolution :premises (@p286 @p281 @p256 @p273 @p284 @p180) :args (@t189 (@list true false false false false) (@list @t108 @t104 @t182 @t186 @t191))) % 0.39/0.77 (step @p288 :rule cnf_or_pos :args (@t195)) % 0.39/0.77 (step @p289 :rule reordering :premises (@p288) :args ((or @t108 @t107 @t105 @t183 @t194 @t193 (not @t195)))) % 0.39/0.77 (step @p290 :rule chain_m_resolution :premises (@p289 @p281 @p279 @p256 @p273 @p287 @p145) :args (@t193 @t188 (@list @t108 @t106 @t104 @t182 @t189 @t195))) % 0.39/0.77 (step @p291 :rule skolemize :premises (@p290)) % 0.39/0.77 (step @p292 :rule bool-double-not-elim :args (@t197)) % 0.39/0.77 (step @p293 :rule refl :args (@t201)) % 0.39/0.77 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t201 (not @t198)))) % 0.39/0.77 (step @p295 :rule cnf_or_neg :args (@t201 2)) % 0.39/0.77 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 0.39/0.77 (step @p297 :rule reordering :premises (@p296) :args ((or @t197 @t201))) % 0.39/0.77 (step @p298 :rule chain_m_resolution :premises (@p297 @p291) :args (@t197 @t110 @t202)) % 0.39/0.77 (step @p299 :rule bool-double-not-elim :args (@t199)) % 0.39/0.77 (step @p300 :rule nary_cong :premises (@p293 @p299) :args ((or @t201 (not @t200)))) % 0.39/0.77 (step @p301 :rule cnf_or_neg :args (@t201 0)) % 0.39/0.77 (step @p302 :rule eq_resolve :premises (@p301 @p300)) % 0.39/0.77 (step @p303 :rule reordering :premises (@p302) :args ((or @t199 @t201))) % 0.39/0.77 (step @p304 :rule chain_m_resolution :premises (@p303 @p291) :args (@t199 @t110 @t202)) % 0.39/0.77 (step @p305 :rule cnf_or_pos :args (@t203)) % 0.39/0.77 (step @p306 :rule reordering :premises (@p305) :args ((or @t200 @t198 @t204))) % 0.39/0.77 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p298) :args (@t204 @t179 (@list @t199 @t197))) % 0.39/0.77 (assume-push @p314 @t102) % 0.39/0.77 (step @p309 :rule instantiate :premises (@p97) :args ((@list @t196))) % 0.39/0.77 (step-pop @p315 :rule scope :premises (@p309)) % 0.39/0.77 (step @p310 :rule process_scope :premises (@p315) :args (@t203)) % 0.39/0.77 (step @p312 :rule implies_elim :premises (@p310)) % 0.39/0.77 (step @p313 false :rule chain_m_resolution :premises (@p312 @p307 @p97) :args (false (@list true false) (@list @t203 @t102))) % 0.39/0.77 ) % 0.39/0.77 % SZS output end Proof % 0.39/0.77 % cvc5 exiting %------------------------------------------------------------------------------