%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG216+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 08:05:31 AM UTC 2026 % Result : Theorem 0.85s 1.07s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG216+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.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 : Wed Jun 3 01:42:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.07 % SZS status Theorem % 0.85/1.07 % SZS output start Proof % 0.85/1.07 ( % 0.85/1.07 (declare-sort $$unsorted 0) % 0.85/1.07 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v5_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.l1_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v4_rlvect_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.85/1.07 (declare-const tptp.v5_rlvect_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.k2_group_1 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.v1_rmod_5 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.k1_rlvect_1 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.l3_vectsp_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v6_rlvect_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.l2_vectsp_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v8_vectsp_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v7_vectsp_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v6_vectsp_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v3_rlvect_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.l1_rlvect_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.l1_vectsp_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.l2_struct_0 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.85/1.07 (declare-const tptp.k8_rlvect_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.07 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.85/1.07 (define @t1 () (@var "B" $$unsorted)) % 0.85/1.07 (define @t2 () (@var "A" $$unsorted)) % 0.85/1.07 (define @t3 () (@var "C" $$unsorted)) % 0.85/1.07 (define @t4 () (tptp.k1_rlvect_1 @t1)) % 0.85/1.07 (define @t5 () (and (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t1 @t3 @t4) @t2 @t1)) (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t1 @t4 @t3) @t2 @t1)))) % 0.85/1.07 (define @t6 () (tptp.k2_group_1 @t2)) % 0.85/1.07 (define @t7 () (tptp.k1_rlvect_1 @t2)) % 0.85/1.07 (define @t8 () (= @t7 @t6)) % 0.85/1.07 (define @t9 () (not @t8)) % 0.85/1.07 (define @t10 () (=> @t9 @t5)) % 0.85/1.07 (define @t11 () (tptp.u1_struct_0 @t1)) % 0.85/1.07 (define @t12 () (tptp.m1_subset_1 @t3 @t11)) % 0.85/1.07 (define @t13 () (@list @t3)) % 0.85/1.07 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.85/1.07 (define @t15 () (tptp.l1_vectsp_2 @t1 @t2)) % 0.85/1.07 (define @t16 () (tptp.v5_vectsp_2 @t1 @t2)) % 0.85/1.07 (define @t17 () (tptp.v6_rlvect_1 @t1)) % 0.85/1.07 (define @t18 () (tptp.v5_rlvect_1 @t1)) % 0.85/1.07 (define @t19 () (tptp.v4_rlvect_1 @t1)) % 0.85/1.07 (define @t20 () (tptp.v3_rlvect_1 @t1)) % 0.85/1.07 (define @t21 () (tptp.v3_struct_0 @t1)) % 0.85/1.07 (define @t22 () (not @t21)) % 0.85/1.07 (define @t23 () (and @t22 @t20 @t19 @t18 @t17 @t16 @t15)) % 0.85/1.07 (define @t24 () (=> @t23 @t14)) % 0.85/1.07 (define @t25 () (@list @t1)) % 0.85/1.07 (define @t26 () (forall @t25 @t24)) % 0.85/1.07 (define @t27 () (tptp.l3_vectsp_1 @t2)) % 0.85/1.07 (define @t28 () (tptp.v8_vectsp_1 @t2)) % 0.85/1.07 (define @t29 () (tptp.v7_vectsp_1 @t2)) % 0.85/1.07 (define @t30 () (tptp.v6_vectsp_1 @t2)) % 0.85/1.07 (define @t31 () (tptp.v4_group_1 @t2)) % 0.85/1.07 (define @t32 () (tptp.v6_rlvect_1 @t2)) % 0.85/1.07 (define @t33 () (tptp.v5_rlvect_1 @t2)) % 0.85/1.07 (define @t34 () (tptp.v4_rlvect_1 @t2)) % 0.85/1.07 (define @t35 () (tptp.v3_rlvect_1 @t2)) % 0.85/1.07 (define @t36 () (tptp.v3_struct_0 @t2)) % 0.85/1.07 (define @t37 () (not @t36)) % 0.85/1.07 (define @t38 () (and @t37 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27)) % 0.85/1.07 (define @t39 () (=> @t38 @t26)) % 0.85/1.07 (define @t40 () (@list @t2)) % 0.85/1.07 (define @t41 () (forall @t40 @t39)) % 0.85/1.07 (define @t42 () (not @t41)) % 0.85/1.07 (define @t43 () (tptp.r2_hidden @t2 @t1)) % 0.85/1.07 (define @t44 () (@list @t2 @t1)) % 0.85/1.07 (define @t45 () (tptp.m1_subset_1 @t2 @t1)) % 0.85/1.07 (define @t46 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3))) % 0.85/1.07 (define @t47 () (@list @t2 @t1 @t3)) % 0.85/1.07 (define @t48 () (tptp.l1_vectsp_1 @t2)) % 0.85/1.07 (define @t49 () (tptp.l1_group_1 @t2)) % 0.85/1.07 (define @t50 () (forall @t40 (=> @t48 @t49))) % 0.85/1.07 (define @t51 () (tptp.v1_xboole_0 @t1)) % 0.85/1.07 (define @t52 () (not @t51)) % 0.85/1.07 (define @t53 () (tptp.k1_zfmisc_1 @t2)) % 0.85/1.07 (define @t54 () (tptp.m1_subset_1 @t1 @t53)) % 0.85/1.07 (define @t55 () (tptp.v1_xboole_0 @t2)) % 0.85/1.07 (define @t56 () (not @t55)) % 0.85/1.07 (define @t57 () (tptp.u1_struct_0 @t2)) % 0.85/1.07 (define @t58 () (tptp.k1_zfmisc_1 @t57)) % 0.85/1.07 (define @t59 () (tptp.m1_subset_1 @t1 @t58)) % 0.85/1.07 (define @t60 () (tptp.l1_struct_0 @t2)) % 0.85/1.07 (define @t61 () (and @t37 @t60)) % 0.85/1.07 (define @t62 () (tptp.k2_tarski @t2 @t1)) % 0.85/1.07 (define @t63 () (tptp.l1_rlvect_1 @t2)) % 0.85/1.07 (define @t64 () (tptp.l2_struct_0 @t2)) % 0.85/1.07 (define @t65 () (tptp.l2_vectsp_1 @t2)) % 0.85/1.07 (define @t66 () (forall @t40 (=> @t49 @t60))) % 0.85/1.07 (define @t67 () (forall @t40 (=> @t63 @t64))) % 0.85/1.07 (define @t68 () (and @t48 @t64)) % 0.85/1.07 (define @t69 () (forall @t40 (=> @t65 @t68))) % 0.85/1.07 (define @t70 () (tptp.k8_rlvect_2 @t2 @t1 @t3)) % 0.85/1.07 (define @t71 () (and @t37 @t60 (tptp.m1_subset_1 @t1 @t57) (tptp.m1_subset_1 @t3 @t57))) % 0.85/1.07 (define @t72 () (tptp.m1_subset_1 @t7 @t57)) % 0.85/1.07 (define @t73 () (forall @t40 (=> @t64 @t72))) % 0.85/1.07 (define @t74 () (tptp.l1_rlvect_1 @t1)) % 0.85/1.07 (define @t75 () (forall @t25 (=> @t15 @t74))) % 0.85/1.07 (define @t76 () (=> @t60 @t75)) % 0.85/1.07 (define @t77 () (forall @t40 @t76)) % 0.85/1.07 (define @t78 () (and @t63 @t65)) % 0.85/1.07 (define @t79 () (forall @t40 (=> @t27 @t78))) % 0.85/1.07 (define @t80 () (@var "D" $$unsorted)) % 0.85/1.07 (define @t81 () (not (= @t80 @t4))) % 0.85/1.07 (define @t82 () (not (= @t3 @t4))) % 0.85/1.07 (define @t83 () (and @t82 @t81)) % 0.85/1.07 (define @t84 () (or @t8 @t83)) % 0.85/1.07 (define @t85 () (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t1 @t3 @t80) @t2 @t1)) % 0.85/1.07 (define @t86 () (=> @t85 @t84)) % 0.85/1.07 (define @t87 () (tptp.m1_subset_1 @t80 @t11)) % 0.85/1.07 (define @t88 () (=> @t87 @t86)) % 0.85/1.07 (define @t89 () (@list @t80)) % 0.85/1.07 (define @t90 () (forall @t89 @t88)) % 0.85/1.07 (define @t91 () (=> @t12 @t90)) % 0.85/1.07 (define @t92 () (forall @t13 @t91)) % 0.85/1.07 (define @t93 () (=> @t23 @t92)) % 0.85/1.07 (define @t94 () (forall @t25 @t93)) % 0.85/1.07 (define @t95 () (=> @t38 @t94)) % 0.85/1.07 (define @t96 () (forall @t40 @t95)) % 0.85/1.07 (define @t97 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 0.85/1.07 (define @t98 () (tptp.k1_rlvect_1 @t97)) % 0.85/1.07 (define @t99 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 0.85/1.07 (define @t100 () (not (= @t98 @t99))) % 0.85/1.07 (define @t101 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 0.85/1.07 (define @t102 () (not (= @t98 @t101))) % 0.85/1.07 (define @t103 () (and @t102 @t100)) % 0.85/1.07 (define @t104 () (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t97 @t101 @t99) @t2 @t97))) % 0.85/1.07 (define @t105 () (tptp.u1_struct_0 @t97)) % 0.85/1.07 (define @t106 () (not (tptp.m1_subset_1 @t99 @t105))) % 0.85/1.07 (define @t107 () (not (tptp.m1_subset_1 @t101 @t105))) % 0.85/1.07 (define @t108 () (not (tptp.l1_vectsp_2 @t97 @t2))) % 0.85/1.07 (define @t109 () (not (tptp.v5_vectsp_2 @t97 @t2))) % 0.85/1.07 (define @t110 () (not (tptp.v6_rlvect_1 @t97))) % 0.85/1.07 (define @t111 () (not (tptp.v5_rlvect_1 @t97))) % 0.85/1.07 (define @t112 () (not (tptp.v4_rlvect_1 @t97))) % 0.85/1.07 (define @t113 () (not (tptp.v3_rlvect_1 @t97))) % 0.85/1.07 (define @t114 () (tptp.v3_struct_0 @t97)) % 0.85/1.07 (define @t115 () (not @t27)) % 0.85/1.07 (define @t116 () (not @t28)) % 0.85/1.07 (define @t117 () (not @t29)) % 0.85/1.07 (define @t118 () (not @t30)) % 0.85/1.07 (define @t119 () (not @t31)) % 0.85/1.07 (define @t120 () (not @t32)) % 0.85/1.07 (define @t121 () (not @t33)) % 0.85/1.07 (define @t122 () (not @t34)) % 0.85/1.07 (define @t123 () (not @t35)) % 0.85/1.07 (define @t124 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t104 @t103)) % 0.85/1.07 (define @t125 () (or @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t104 @t103)) % 0.85/1.07 (define @t126 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t125)) % 0.85/1.07 (define @t127 () (@list @t2 @t97 @t101 @t99)) % 0.85/1.07 (define @t128 () (forall @t127 @t126)) % 0.85/1.07 (define @t129 () (@list @t97 @t101 @t99)) % 0.85/1.07 (define @t130 () (forall @t129 @t126)) % 0.85/1.07 (define @t131 () (forall @t129 @t125)) % 0.85/1.07 (define @t132 () (@var "BOUND_VARIABLE_8017" $$unsorted)) % 0.85/1.07 (define @t133 () (@var "BOUND_VARIABLE_8015" $$unsorted)) % 0.85/1.07 (define @t134 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t131)) % 0.85/1.07 (define @t135 () (not (= @t4 @t132))) % 0.85/1.07 (define @t136 () (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t1 @t133 @t132) @t2 @t1))) % 0.85/1.07 (define @t137 () (not (tptp.m1_subset_1 @t132 @t11))) % 0.85/1.07 (define @t138 () (not (tptp.m1_subset_1 @t133 @t11))) % 0.85/1.07 (define @t139 () (not @t15)) % 0.85/1.07 (define @t140 () (not @t16)) % 0.85/1.07 (define @t141 () (not @t17)) % 0.85/1.07 (define @t142 () (not @t18)) % 0.85/1.07 (define @t143 () (not @t19)) % 0.85/1.07 (define @t144 () (not @t20)) % 0.85/1.07 (define @t145 () (@list @t1 @t133 @t132)) % 0.85/1.07 (define @t146 () (forall @t145 (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 (and (not (= @t4 @t133)) @t135)))) % 0.85/1.07 (define @t147 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t146)) % 0.85/1.07 (define @t148 () (or @t8 @t146)) % 0.85/1.07 (define @t149 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115)) % 0.85/1.07 (define @t150 () (not @t37)) % 0.85/1.07 (define @t151 () (or @t150 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115)) % 0.85/1.07 (define @t152 () (not @t38)) % 0.85/1.07 (define @t153 () (not (= @t133 @t4))) % 0.85/1.07 (define @t154 () (and @t153 @t135)) % 0.85/1.07 (define @t155 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t154)) % 0.85/1.07 (define @t156 () (or @t138 @t137 @t136 @t154)) % 0.85/1.07 (define @t157 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t156)) % 0.85/1.07 (define @t158 () (forall @t145 @t157)) % 0.85/1.07 (define @t159 () (@list @t133 @t132)) % 0.85/1.07 (define @t160 () (forall @t159 @t157)) % 0.85/1.07 (define @t161 () (forall @t159 @t156)) % 0.85/1.07 (define @t162 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 0.85/1.07 (define @t163 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t161)) % 0.85/1.07 (define @t164 () (and @t82 (not (= @t4 @t162)))) % 0.85/1.07 (define @t165 () (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t1 @t3 @t162) @t2 @t1))) % 0.85/1.07 (define @t166 () (not (tptp.m1_subset_1 @t162 @t11))) % 0.85/1.07 (define @t167 () (not @t12)) % 0.85/1.07 (define @t168 () (or @t167 @t166 @t165 @t164)) % 0.85/1.07 (define @t169 () (@list @t3 @t162)) % 0.85/1.07 (define @t170 () (forall @t169 @t168)) % 0.85/1.07 (define @t171 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t170)) % 0.85/1.07 (define @t172 () (forall @t25 @t171)) % 0.85/1.07 (define @t173 () (or @t8 @t172)) % 0.85/1.07 (define @t174 () (or @t8 @t171)) % 0.85/1.07 (define @t175 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t8 @t170)) % 0.85/1.07 (define @t176 () (or @t8 @t170)) % 0.85/1.07 (define @t177 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139)) % 0.85/1.07 (define @t178 () (not @t22)) % 0.85/1.07 (define @t179 () (or @t178 @t144 @t143 @t142 @t141 @t140 @t139)) % 0.85/1.07 (define @t180 () (not @t23)) % 0.85/1.07 (define @t181 () (or @t166 @t165 @t164)) % 0.85/1.07 (define @t182 () (or @t167 @t181)) % 0.85/1.07 (define @t183 () (forall @t169 @t182)) % 0.85/1.07 (define @t184 () (@list @t162)) % 0.85/1.07 (define @t185 () (forall @t184 @t182)) % 0.85/1.07 (define @t186 () (forall @t184 @t181)) % 0.85/1.07 (define @t187 () (or @t167 @t186)) % 0.85/1.07 (define @t188 () (and @t82 (not (= @t4 @t80)))) % 0.85/1.07 (define @t189 () (not @t85)) % 0.85/1.07 (define @t190 () (not @t87)) % 0.85/1.07 (define @t191 () (or @t190 @t189 @t188)) % 0.85/1.07 (define @t192 () (forall @t89 @t191)) % 0.85/1.07 (define @t193 () (or @t167 @t192)) % 0.85/1.07 (define @t194 () (forall @t13 @t193)) % 0.85/1.07 (define @t195 () (or @t8 @t194)) % 0.85/1.07 (define @t196 () (or @t8 @t193)) % 0.85/1.07 (define @t197 () (or @t167 @t8 @t192)) % 0.85/1.07 (define @t198 () (or @t8 @t192)) % 0.85/1.07 (define @t199 () (or @t8 @t191)) % 0.85/1.07 (define @t200 () (or @t190 @t189 @t8 @t188)) % 0.85/1.07 (define @t201 () (or @t189 @t8 @t188)) % 0.85/1.07 (define @t202 () (or @t8 @t188)) % 0.85/1.07 (define @t203 () (=> @t85 @t202)) % 0.85/1.07 (define @t204 () (@var "BOUND_VARIABLE_7722" $$unsorted)) % 0.85/1.07 (define @t205 () (@var "BOUND_VARIABLE_7724" $$unsorted)) % 0.85/1.07 (define @t206 () (tptp.k1_rlvect_1 @t204)) % 0.85/1.07 (define @t207 () (and (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t204 @t205 @t206) @t2 @t204)) (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t204 @t206 @t205) @t2 @t204)))) % 0.85/1.07 (define @t208 () (not (tptp.m1_subset_1 @t205 (tptp.u1_struct_0 @t204)))) % 0.85/1.07 (define @t209 () (not (tptp.l1_vectsp_2 @t204 @t2))) % 0.85/1.07 (define @t210 () (not (tptp.v5_vectsp_2 @t204 @t2))) % 0.85/1.07 (define @t211 () (not (tptp.v6_rlvect_1 @t204))) % 0.85/1.07 (define @t212 () (not (tptp.v5_rlvect_1 @t204))) % 0.85/1.07 (define @t213 () (not (tptp.v4_rlvect_1 @t204))) % 0.85/1.07 (define @t214 () (not (tptp.v3_rlvect_1 @t204))) % 0.85/1.07 (define @t215 () (tptp.v3_struct_0 @t204)) % 0.85/1.07 (define @t216 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t215 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207)) % 0.85/1.07 (define @t217 () (@list @t2 @t204 @t205)) % 0.85/1.07 (define @t218 () (forall @t217 @t216)) % 0.85/1.07 (define @t219 () (@quantifiers_skolemize @t218 1)) % 0.85/1.07 (define @t220 () (@list @t219)) % 0.85/1.07 (define @t221 () (@var "BOUND_VARIABLE_7954" $$unsorted)) % 0.85/1.07 (define @t222 () (tptp.l1_rlvect_1 @t221)) % 0.85/1.07 (define @t223 () (not (tptp.l1_vectsp_2 @t221 @t2))) % 0.85/1.07 (define @t224 () (not @t60)) % 0.85/1.07 (define @t225 () (or @t223 @t222)) % 0.85/1.07 (define @t226 () (or @t224 @t225)) % 0.85/1.07 (define @t227 () (forall (@list @t2 @t221) @t226)) % 0.85/1.07 (define @t228 () (@list @t221)) % 0.85/1.07 (define @t229 () (forall @t228 @t226)) % 0.85/1.07 (define @t230 () (forall @t228 @t225)) % 0.85/1.07 (define @t231 () (or @t224 @t230)) % 0.85/1.07 (define @t232 () (forall @t25 (or @t139 @t74))) % 0.85/1.07 (define @t233 () (@quantifiers_skolemize @t218 0)) % 0.85/1.07 (define @t234 () (@list @t233)) % 0.85/1.07 (define @t235 () (or @t215 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207)) % 0.85/1.07 (define @t236 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t235)) % 0.85/1.07 (define @t237 () (forall @t217 @t236)) % 0.85/1.07 (define @t238 () (@list @t204 @t205)) % 0.85/1.07 (define @t239 () (forall @t238 @t236)) % 0.85/1.07 (define @t240 () (forall @t238 @t235)) % 0.85/1.07 (define @t241 () (@var "BOUND_VARIABLE_7689" $$unsorted)) % 0.85/1.07 (define @t242 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t240)) % 0.85/1.07 (define @t243 () (and (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t1 @t241 @t4) @t2 @t1)) (not (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t1 @t4 @t241) @t2 @t1)))) % 0.85/1.07 (define @t244 () (not (tptp.m1_subset_1 @t241 @t11))) % 0.85/1.07 (define @t245 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t244 @t243)) % 0.85/1.07 (define @t246 () (@list @t1 @t241)) % 0.85/1.07 (define @t247 () (forall @t246 @t245)) % 0.85/1.07 (define @t248 () (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t247)) % 0.85/1.07 (define @t249 () (or @t8 @t247)) % 0.85/1.07 (define @t250 () (or @t244 @t243)) % 0.85/1.07 (define @t251 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t250)) % 0.85/1.07 (define @t252 () (forall @t246 @t251)) % 0.85/1.07 (define @t253 () (@list @t241)) % 0.85/1.07 (define @t254 () (forall @t253 @t251)) % 0.85/1.07 (define @t255 () (forall @t253 @t250)) % 0.85/1.07 (define @t256 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t255)) % 0.85/1.07 (define @t257 () (or @t167 @t5)) % 0.85/1.07 (define @t258 () (forall @t13 @t257)) % 0.85/1.07 (define @t259 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t258)) % 0.85/1.07 (define @t260 () (forall @t25 @t259)) % 0.85/1.07 (define @t261 () (or @t8 @t260)) % 0.85/1.07 (define @t262 () (or @t8 @t259)) % 0.85/1.07 (define @t263 () (or @t21 @t144 @t143 @t142 @t141 @t140 @t139 @t8 @t258)) % 0.85/1.07 (define @t264 () (or @t8 @t258)) % 0.85/1.07 (define @t265 () (or @t8 @t257)) % 0.85/1.07 (define @t266 () (or @t167 @t8 @t5)) % 0.85/1.07 (define @t267 () (tptp.l3_vectsp_1 @t233)) % 0.85/1.07 (define @t268 () (@quantifiers_skolemize @t218 2)) % 0.85/1.07 (define @t269 () (tptp.k1_rlvect_1 @t219)) % 0.85/1.07 (define @t270 () (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t219 @t269 @t268) @t233 @t219)) % 0.85/1.07 (define @t271 () (not @t270)) % 0.85/1.07 (define @t272 () (tptp.v1_rmod_5 (tptp.k8_rlvect_2 @t219 @t268 @t269) @t233 @t219)) % 0.85/1.07 (define @t273 () (not @t272)) % 0.85/1.07 (define @t274 () (and @t273 @t271)) % 0.85/1.07 (define @t275 () (tptp.u1_struct_0 @t219)) % 0.85/1.07 (define @t276 () (tptp.m1_subset_1 @t268 @t275)) % 0.85/1.07 (define @t277 () (not @t276)) % 0.85/1.07 (define @t278 () (tptp.l1_vectsp_2 @t219 @t233)) % 0.85/1.07 (define @t279 () (not @t278)) % 0.85/1.07 (define @t280 () (tptp.v5_vectsp_2 @t219 @t233)) % 0.85/1.07 (define @t281 () (not @t280)) % 0.85/1.07 (define @t282 () (tptp.v6_rlvect_1 @t219)) % 0.85/1.07 (define @t283 () (not @t282)) % 0.85/1.07 (define @t284 () (tptp.v5_rlvect_1 @t219)) % 0.85/1.07 (define @t285 () (not @t284)) % 0.85/1.07 (define @t286 () (tptp.v4_rlvect_1 @t219)) % 0.85/1.07 (define @t287 () (not @t286)) % 0.85/1.07 (define @t288 () (tptp.v3_rlvect_1 @t219)) % 0.85/1.07 (define @t289 () (not @t288)) % 0.85/1.07 (define @t290 () (tptp.v3_struct_0 @t219)) % 0.85/1.07 (define @t291 () (= (tptp.k1_rlvect_1 @t233) (tptp.k2_group_1 @t233))) % 0.85/1.07 (define @t292 () (not @t267)) % 0.85/1.07 (define @t293 () (tptp.v8_vectsp_1 @t233)) % 0.85/1.07 (define @t294 () (not @t293)) % 0.85/1.07 (define @t295 () (tptp.v7_vectsp_1 @t233)) % 0.85/1.07 (define @t296 () (not @t295)) % 0.85/1.07 (define @t297 () (tptp.v6_vectsp_1 @t233)) % 0.85/1.07 (define @t298 () (not @t297)) % 0.85/1.07 (define @t299 () (tptp.v4_group_1 @t233)) % 0.85/1.07 (define @t300 () (not @t299)) % 0.85/1.07 (define @t301 () (tptp.v6_rlvect_1 @t233)) % 0.85/1.07 (define @t302 () (not @t301)) % 0.85/1.07 (define @t303 () (tptp.v5_rlvect_1 @t233)) % 0.85/1.07 (define @t304 () (not @t303)) % 0.85/1.07 (define @t305 () (tptp.v4_rlvect_1 @t233)) % 0.85/1.07 (define @t306 () (not @t305)) % 0.85/1.07 (define @t307 () (tptp.v3_rlvect_1 @t233)) % 0.85/1.07 (define @t308 () (not @t307)) % 0.85/1.07 (define @t309 () (tptp.v3_struct_0 @t233)) % 0.85/1.07 (define @t310 () (or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t274)) % 0.85/1.07 (define @t311 () (@list true)) % 0.85/1.07 (define @t312 () (@list @t310)) % 0.85/1.07 (define @t313 () (tptp.l2_vectsp_1 @t233)) % 0.85/1.07 (define @t314 () (and (tptp.l1_rlvect_1 @t233) @t313)) % 0.85/1.07 (define @t315 () (or @t292 @t314)) % 0.85/1.07 (define @t316 () (@list false false)) % 0.85/1.07 (define @t317 () (@list false)) % 0.85/1.07 (define @t318 () (tptp.l1_vectsp_1 @t233)) % 0.85/1.07 (define @t319 () (and @t318 (tptp.l2_struct_0 @t233))) % 0.85/1.07 (define @t320 () (not @t313)) % 0.85/1.07 (define @t321 () (or @t320 @t319)) % 0.85/1.07 (define @t322 () (tptp.l1_group_1 @t233)) % 0.85/1.07 (define @t323 () (not @t318)) % 0.85/1.07 (define @t324 () (or @t323 @t322)) % 0.85/1.07 (define @t325 () (tptp.l1_struct_0 @t233)) % 0.85/1.07 (define @t326 () (not @t322)) % 0.85/1.07 (define @t327 () (or @t326 @t325)) % 0.85/1.07 (define @t328 () (tptp.l1_rlvect_1 @t219)) % 0.85/1.07 (define @t329 () (not @t325)) % 0.85/1.07 (define @t330 () (or @t329 @t279 @t328)) % 0.85/1.07 (define @t331 () (tptp.l2_struct_0 @t219)) % 0.85/1.07 (define @t332 () (not @t328)) % 0.85/1.07 (define @t333 () (or @t332 @t331)) % 0.85/1.07 (define @t334 () (tptp.m1_subset_1 @t269 @t275)) % 0.85/1.07 (define @t335 () (not @t331)) % 0.85/1.07 (define @t336 () (or @t335 @t334)) % 0.85/1.07 (define @t337 () (not @t334)) % 0.85/1.07 (define @t338 () (or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t337 @t277 @t271)) % 0.85/1.07 (define @t339 () (not (= @t268 @t269))) % 0.85/1.07 (define @t340 () (not (= @t269 @t269))) % 0.85/1.07 (define @t341 () (and @t340 @t339)) % 0.85/1.07 (define @t342 () (or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t337 @t277 @t271 @t341)) % 0.85/1.07 (define @t343 () (forall @t127 (or @t36 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t8 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t104 (and (not (= @t101 @t98)) (not (= @t99 @t98)))))) % 0.85/1.07 (define @t344 () (@list true false false false false false false false false false true true false false false false false false false false false)) % 0.85/1.07 (define @t345 () (or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t337 @t273)) % 0.85/1.07 (define @t346 () (not @t345)) % 0.85/1.07 (define @t347 () (and @t339 @t340)) % 0.85/1.07 (define @t348 () (or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t337 @t273 @t347)) % 0.85/1.07 (assume @p1 @t42) % 0.85/1.07 (assume @p2 (forall @t44 (=> @t43 (not (tptp.r2_hidden @t1 @t2))))) % 0.85/1.07 (assume @p3 true) % 0.85/1.07 (assume @p4 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.85/1.07 (assume @p5 (forall @t44 (=> @t43 @t45))) % 0.85/1.07 (assume @p6 (forall @t47 (=> (and @t43 @t46) (tptp.m1_subset_1 @t2 @t3)))) % 0.85/1.07 (assume @p7 (forall @t47 (not (and @t43 @t46 (tptp.v1_xboole_0 @t3))))) % 0.85/1.07 (assume @p8 (forall @t44 (tptp.r1_tarski @t2 @t2))) % 0.85/1.07 (assume @p9 (exists @t40 @t48)) % 0.85/1.07 (assume @p10 @t50) % 0.85/1.07 (assume @p11 (forall @t40 (=> @t56 (exists @t25 (and @t54 @t52))))) % 0.85/1.07 (assume @p12 (exists @t40 @t55)) % 0.85/1.07 (assume @p13 (forall @t40 (=> @t61 (exists @t25 (and @t59 @t52 (tptp.v1_finset_1 @t1)))))) % 0.85/1.07 (assume @p14 (forall @t40 (exists @t25 (and @t54 @t51)))) % 0.85/1.07 (assume @p15 (exists @t40 @t56)) % 0.85/1.07 (assume @p16 (forall @t40 (=> @t61 (exists @t25 (and @t59 @t52))))) % 0.85/1.07 (assume @p17 (forall @t44 (=> @t45 (or @t51 @t43)))) % 0.85/1.07 (assume @p18 (forall @t40 (=> @t55 (= @t2 tptp.k1_xboole_0)))) % 0.85/1.07 (assume @p19 (forall @t44 (not (and @t43 @t51)))) % 0.85/1.07 (assume @p20 (forall @t44 (not (and @t55 (not (= @t2 @t1)) @t51)))) % 0.85/1.07 (assume @p21 (forall @t44 (= @t62 (tptp.k2_tarski @t1 @t2)))) % 0.85/1.07 (assume @p22 (exists @t40 @t49)) % 0.85/1.07 (assume @p23 (exists @t40 @t63)) % 0.85/1.07 (assume @p24 (exists @t40 @t60)) % 0.85/1.07 (assume @p25 (exists @t40 @t64)) % 0.85/1.07 (assume @p26 (exists @t40 @t65)) % 0.85/1.07 (assume @p27 @t66) % 0.85/1.07 (assume @p28 @t67) % 0.85/1.07 (assume @p29 (forall @t40 (=> @t64 @t60))) % 0.85/1.07 (assume @p30 @t69) % 0.85/1.07 (assume @p31 (forall @t40 (=> @t61 (not (tptp.v1_xboole_0 @t57))))) % 0.85/1.07 (assume @p32 (forall @t40 (not (tptp.v1_xboole_0 @t53)))) % 0.85/1.07 (assume @p33 (forall @t44 (not (tptp.v1_xboole_0 @t62)))) % 0.85/1.07 (assume @p34 (exists @t40 (and @t60 @t37))) % 0.85/1.07 (assume @p35 (exists @t40 (and @t64 @t37))) % 0.85/1.07 (assume @p36 (forall @t40 (=> @t60 (exists @t25 (and @t15 @t22))))) % 0.85/1.07 (assume @p37 (forall @t44 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.85/1.07 (assume @p38 (forall @t47 (=> @t71 (= @t70 (tptp.k8_rlvect_2 @t2 @t3 @t1))))) % 0.85/1.07 (assume @p39 (forall @t40 (=> @t60 (exists @t25 @t15)))) % 0.85/1.07 (assume @p40 (exists @t40 @t27)) % 0.85/1.07 (assume @p41 (forall @t40 (exists @t25 (tptp.m1_subset_1 @t1 @t2)))) % 0.85/1.07 (assume @p42 (forall @t47 (=> @t71 (= @t70 (tptp.k2_tarski @t1 @t3))))) % 0.85/1.07 (assume @p43 @t73) % 0.85/1.07 (assume @p44 (forall @t40 (=> (and @t37 @t49) (tptp.m1_subset_1 @t6 @t57)))) % 0.85/1.07 (assume @p45 (forall @t47 (=> @t71 (and (tptp.v1_finset_1 @t70) (tptp.m1_subset_1 @t70 @t58))))) % 0.85/1.07 (assume @p46 @t77) % 0.85/1.07 (assume @p47 @t79) % 0.85/1.07 (assume @p48 @t96) % 0.85/1.07 (step @p49 :rule eq-symm :args (@t98 @t99)) % 0.85/1.07 (step @p50 :rule cong :premises (@p49) :args (@t100)) % 0.85/1.07 (step @p51 :rule eq-symm :args (@t98 @t101)) % 0.85/1.07 (step @p52 :rule cong :premises (@p51) :args (@t102)) % 0.85/1.07 (step @p53 :rule nary_cong :premises (@p52 @p50) :args (@t103)) % 0.85/1.07 (step @p54 :rule refl :args (@t104)) % 0.85/1.07 (step @p55 :rule refl :args (@t106)) % 0.85/1.07 (step @p56 :rule refl :args (@t107)) % 0.85/1.07 (step @p57 :rule refl :args (@t108)) % 0.85/1.07 (step @p58 :rule refl :args (@t109)) % 0.85/1.07 (step @p59 :rule refl :args (@t110)) % 0.85/1.07 (step @p60 :rule refl :args (@t111)) % 0.85/1.07 (step @p61 :rule refl :args (@t112)) % 0.85/1.07 (step @p62 :rule refl :args (@t113)) % 0.85/1.07 (step @p63 :rule refl :args (@t114)) % 0.85/1.07 (step @p64 :rule refl :args (@t8)) % 0.85/1.07 (step @p65 :rule refl :args (@t115)) % 0.85/1.07 (step @p66 :rule refl :args (@t116)) % 0.85/1.07 (step @p67 :rule refl :args (@t117)) % 0.85/1.07 (step @p68 :rule refl :args (@t118)) % 0.85/1.07 (step @p69 :rule refl :args (@t119)) % 0.85/1.07 (step @p70 :rule refl :args (@t120)) % 0.85/1.07 (step @p71 :rule refl :args (@t121)) % 0.85/1.07 (step @p72 :rule refl :args (@t122)) % 0.85/1.07 (step @p73 :rule refl :args (@t123)) % 0.85/1.07 (step @p74 :rule refl :args (@t36)) % 0.85/1.07 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53) :args (@t124)) % 0.85/1.07 (step @p76 :rule aci_norm :args ((= @t126 @t124))) % 0.85/1.07 (step @p77 :rule trans :premises (@p76 @p75)) % 0.85/1.07 (step @p78 :rule cong :premises (@p77) :args (@t128)) % 0.85/1.07 (step @p79 :rule quant-merge-prenex :args ((= (forall @t40 @t130) @t128))) % 0.85/1.07 (step @p80 :rule alpha_equiv :args (@t131 (@list @t97 @t101 @t99) (@list @t1 @t133 @t132))) % 0.85/1.07 (step @p81 :rule refl :args (@t8)) % 0.85/1.07 (step @p82 :rule refl :args (@t115)) % 0.85/1.07 (step @p83 :rule refl :args (@t116)) % 0.85/1.07 (step @p84 :rule refl :args (@t117)) % 0.85/1.07 (step @p85 :rule refl :args (@t118)) % 0.85/1.07 (step @p86 :rule refl :args (@t119)) % 0.85/1.07 (step @p87 :rule refl :args (@t120)) % 0.85/1.07 (step @p88 :rule refl :args (@t121)) % 0.85/1.07 (step @p89 :rule refl :args (@t122)) % 0.85/1.07 (step @p90 :rule refl :args (@t123)) % 0.85/1.07 (step @p91 :rule refl :args (@t36)) % 0.85/1.07 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80) :args (@t134)) % 0.85/1.07 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(step @p528 :rule nary_cong :premises (@p387 @p527) :args ((or @t310 (not @t300)))) % 0.85/1.07 (step @p529 :rule cnf_or_neg :args (@t310 5)) % 0.85/1.07 (step @p530 :rule eq_resolve :premises (@p529 @p528)) % 0.85/1.07 (step @p531 :rule reordering :premises (@p530) :args ((or @t299 @t310))) % 0.85/1.07 (step @p532 :rule chain_m_resolution :premises (@p531 @p385) :args (@t299 @t311 @t312)) % 0.85/1.07 (step @p533 :rule bool-double-not-elim :args (@t301)) % 0.85/1.07 (step @p534 :rule nary_cong :premises (@p387 @p533) :args ((or @t310 (not @t302)))) % 0.85/1.07 (step @p535 :rule cnf_or_neg :args (@t310 4)) % 0.85/1.07 (step @p536 :rule eq_resolve :premises (@p535 @p534)) % 0.85/1.07 (step @p537 :rule reordering :premises (@p536) :args ((or @t301 @t310))) % 0.85/1.07 (step @p538 :rule chain_m_resolution :premises (@p537 @p385) :args (@t301 @t311 @t312)) % 0.85/1.07 (step @p539 :rule bool-double-not-elim :args (@t303)) % 0.85/1.07 (step @p540 :rule nary_cong :premises (@p387 @p539) :args ((or @t310 (not @t304)))) % 0.85/1.07 (step @p541 :rule cnf_or_neg :args (@t310 3)) % 0.85/1.07 (step @p542 :rule eq_resolve :premises (@p541 @p540)) % 0.85/1.07 (step @p543 :rule reordering :premises (@p542) :args ((or @t303 @t310))) % 0.85/1.07 (step @p544 :rule chain_m_resolution :premises (@p543 @p385) :args (@t303 @t311 @t312)) % 0.85/1.07 (step @p545 :rule bool-double-not-elim :args (@t305)) % 0.85/1.07 (step @p546 :rule nary_cong :premises (@p387 @p545) :args ((or @t310 (not @t306)))) % 0.85/1.07 (step @p547 :rule cnf_or_neg :args (@t310 2)) % 0.85/1.07 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 0.85/1.07 (step @p549 :rule reordering :premises (@p548) :args ((or @t305 @t310))) % 0.85/1.07 (step @p550 :rule chain_m_resolution :premises (@p549 @p385) :args (@t305 @t311 @t312)) % 0.85/1.07 (step @p551 :rule bool-double-not-elim :args (@t307)) % 0.85/1.07 (step @p552 :rule nary_cong :premises (@p387 @p551) :args ((or @t310 (not @t308)))) % 0.85/1.07 (step @p553 :rule cnf_or_neg :args (@t310 1)) % 0.85/1.07 (step @p554 :rule eq_resolve :premises (@p553 @p552)) % 0.85/1.07 (step @p555 :rule reordering :premises (@p554) :args ((or @t307 @t310))) % 0.85/1.07 (step @p556 :rule chain_m_resolution :premises (@p555 @p385) :args (@t307 @t311 @t312)) % 0.85/1.07 (step @p557 :rule cnf_or_neg :args (@t310 0)) % 0.85/1.07 (step @p558 :rule chain_m_resolution :premises (@p557 @p385) :args ((not @t309) @t311 @t312)) % 0.85/1.07 (step @p559 :rule cnf_or_pos :args (@t338)) % 0.85/1.07 (step @p560 :rule reordering :premises (@p559) :args ((or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t271 @t337 (not @t338)))) % 0.85/1.07 (step @p561 :rule chain_m_resolution :premises (@p560 @p558 @p556 @p550 @p544 @p538 @p532 @p526 @p520 @p514 @p392 @p508 @p506 @p504 @p498 @p492 @p486 @p480 @p416 @p474 @p425 @p468) :args (@t271 @t344 (@list @t309 @t307 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t267 @t291 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t334 @t338))) % 0.85/1.07 (step @p562 :rule bool-double-not-elim :args (@t270)) % 0.85/1.07 (step @p563 :rule bool-double-not-elim :args (@t272)) % 0.85/1.07 (step @p564 :rule refl :args (@t274)) % 0.85/1.07 (step @p565 :rule nary_cong :premises (@p564 @p563 @p562) :args ((or @t274 (not @t273) (not @t271)))) % 0.85/1.07 (step @p566 :rule cnf_and_neg :args (@t274)) % 0.85/1.07 (step @p567 :rule eq_resolve :premises (@p566 @p565)) % 0.85/1.07 (step @p568 :rule reordering :premises (@p567) :args ((or @t272 @t270 @t274))) % 0.85/1.07 (step @p569 :rule chain_m_resolution :premises (@p568 @p561 @p427) :args (@t272 (@list true true) (@list @t270 @t274))) % 0.85/1.07 (step @p570 :rule cnf_or_pos :args (@t345)) % 0.85/1.07 (step @p571 :rule reordering :premises (@p570) :args ((or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t273 @t337 @t346))) % 0.85/1.07 (step @p572 :rule chain_m_resolution :premises (@p571 @p558 @p556 @p550 @p544 @p538 @p532 @p526 @p520 @p514 @p392 @p508 @p506 @p504 @p498 @p492 @p486 @p480 @p416 @p474 @p569 @p425) :args (@t346 @t344 (@list @t309 @t307 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t267 @t291 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t272 @t334))) % 0.85/1.07 (step @p573 :rule aci_norm :args ((= (or @t309 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t291 @t290 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t337 @t273 false) @t345))) % 0.85/1.08 (step @p574 :rule absorb :args ((= (and @t339 false) false))) % 0.85/1.08 (step @p575 :rule nary_cong :premises (@p430 @p434) :args (@t347)) % 0.85/1.08 (step @p576 :rule trans :premises (@p575 @p574)) % 0.85/1.08 (step @p577 :rule refl :args (@t273)) % 0.85/1.08 (step @p578 :rule nary_cong :premises (@p457 @p456 @p455 @p454 @p453 @p452 @p451 @p450 @p449 @p448 @p447 @p446 @p445 @p444 @p443 @p442 @p441 @p440 @p438 @p439 @p577 @p576) :args (@t348)) % 0.85/1.08 (step @p579 :rule trans :premises (@p578 @p573)) % 0.85/1.08 (step @p580 :rule cong :premises (@p460 @p579) :args ((=> @t343 @t348))) % 0.85/1.08 (assume-push @p590 @t343) % 0.85/1.08 (step @p582 :rule instantiate :premises (@p269) :args ((@list @t233 @t219 @t268 @t269))) % 0.85/1.08 (step-pop @p591 :rule scope :premises (@p582)) % 0.85/1.08 (step @p583 :rule process_scope :premises (@p591) :args (@t348)) % 0.85/1.08 (step @p585 :rule eq_resolve :premises (@p583 @p580)) % 0.85/1.08 (step @p586 :rule implies_elim :premises (@p585)) % 0.85/1.08 (step @p587 false :rule chain_m_resolution :premises (@p586 @p572 @p269) :args (false (@list true false) (@list @t345 @t343))) % 0.85/1.08 ) % 0.85/1.08 % SZS output end Proof % 0.85/1.08 % cvc5 exiting %------------------------------------------------------------------------------