%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA026-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:06:34 AM UTC 2026 % Result : Unsatisfiable 0.64s 0.87s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA026-2 : TPTP v9.2.1. Released v3.2.0. % 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 : n028.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 02:19:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/0.87 % SZS status Unsatisfiable % 0.64/0.87 % SZS output start Proof % 0.64/0.88 ( % 0.64/0.88 (declare-sort $$unsorted 0) % 0.64/0.88 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.t_b $$unsorted) % 0.64/0.88 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.class_LOrder_Ojoin__semilorder (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.c_uminus (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.88 (declare-const tptp.v_x $$unsorted) % 0.64/0.88 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.c_0 $$unsorted) % 0.64/0.88 (declare-const tptp.c_Orderings_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.64/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.64/0.88 (define @t1 () (@var "V_U" $$unsorted)) % 0.64/0.88 (define @t2 () (tptp.v_g tptp.v_x)) % 0.64/0.88 (define @t3 () (tptp.v_f tptp.v_x)) % 0.64/0.88 (define @t4 () (tptp.c_minus @t3 @t2 tptp.t_b)) % 0.64/0.88 (define @t5 () (tptp.c_HOL_Oabs @t4 tptp.t_b)) % 0.64/0.88 (define @t6 () (tptp.v_k tptp.v_x)) % 0.64/0.88 (define @t7 () (tptp.c_minus @t3 @t6 tptp.t_b)) % 0.64/0.88 (define @t8 () (tptp.c_lessequals (tptp.c_Orderings_Omax @t7 tptp.c_0 tptp.t_b) @t5 tptp.t_b)) % 0.64/0.88 (define @t9 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.64/0.88 (define @t10 () (@var "T_a" $$unsorted)) % 0.64/0.88 (define @t11 () (@var "V_b" $$unsorted)) % 0.64/0.88 (define @t12 () (@var "V_a" $$unsorted)) % 0.64/0.88 (define @t13 () (tptp.c_minus @t12 @t11 @t10)) % 0.64/0.88 (define @t14 () (not (tptp.class_OrderedGroup_Oab__group__add @t10))) % 0.64/0.88 (define @t15 () (@list @t10 @t12 @t11)) % 0.64/0.88 (define @t16 () (tptp.c_HOL_Oabs @t12 @t10)) % 0.64/0.88 (define @t17 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t10))) % 0.64/0.88 (define @t18 () (@list @t10 @t12)) % 0.64/0.88 (define @t19 () (tptp.c_uminus @t12 @t10)) % 0.64/0.88 (define @t20 () (tptp.c_HOL_Oabs @t19 @t10)) % 0.64/0.88 (define @t21 () (or @t17 (= @t20 @t16))) % 0.64/0.88 (define @t22 () (forall @t18 @t21)) % 0.64/0.88 (define @t23 () (forall @t18 (or @t17 (not (tptp.c_lessequals @t12 tptp.c_0 @t10)) (= @t16 @t19)))) % 0.64/0.88 (define @t24 () (@var "V_c" $$unsorted)) % 0.64/0.88 (define @t25 () (tptp.c_plus @t24 @t11 @t10)) % 0.64/0.88 (define @t26 () (tptp.c_lessequals @t12 @t11 @t10)) % 0.64/0.88 (define @t27 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t10))) % 0.64/0.88 (define @t28 () (@list @t10 @t12 @t11 @t24)) % 0.64/0.88 (define @t29 () (tptp.c_plus @t11 @t24 @t10)) % 0.64/0.88 (define @t30 () (tptp.c_plus @t12 @t24 @t10)) % 0.64/0.88 (define @t31 () (@list @t10 @t12 @t24 @t11)) % 0.64/0.88 (define @t32 () (@var "V_y" $$unsorted)) % 0.64/0.88 (define @t33 () (tptp.c_plus tptp.c_0 @t32 @t10)) % 0.64/0.88 (define @t34 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t10))) % 0.64/0.88 (define @t35 () (or @t34 (= @t33 @t32))) % 0.64/0.88 (define @t36 () (forall (@list @t10 @t32) @t35)) % 0.64/0.88 (define @t37 () (tptp.c_minus @t25 @t11 @t10)) % 0.64/0.88 (define @t38 () (or @t14 (= @t37 @t24))) % 0.64/0.88 (define @t39 () (forall (@list @t10 @t24 @t11) @t38)) % 0.64/0.88 (define @t40 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t10))) % 0.64/0.88 (define @t41 () (forall @t15 (or @t14 (= (tptp.c_uminus @t13 @t10) (tptp.c_minus @t11 @t12 @t10))))) % 0.64/0.88 (define @t42 () (@var "V_x" $$unsorted)) % 0.64/0.88 (define @t43 () (tptp.c_lessequals @t42 @t32 @t10)) % 0.64/0.88 (define @t44 () (tptp.c_less @t32 @t42 @t10)) % 0.64/0.88 (define @t45 () (not (tptp.class_Orderings_Olinorder @t10))) % 0.64/0.88 (define @t46 () (@list @t10 @t32 @t42)) % 0.64/0.88 (define @t47 () (not @t43)) % 0.64/0.88 (define @t48 () (@var "T_b" $$unsorted)) % 0.64/0.88 (define @t49 () (@var "V_z" $$unsorted)) % 0.64/0.88 (define @t50 () (not (tptp.class_Orderings_Oorder @t10))) % 0.64/0.88 (define @t51 () (@var "T" $$unsorted)) % 0.64/0.88 (define @t52 () (tptp.class_LOrder_Ojoin__semilorder @t51)) % 0.64/0.88 (define @t53 () (@list @t51)) % 0.64/0.88 (define @t54 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t51)) % 0.64/0.88 (define @t55 () (not @t54)) % 0.64/0.88 (define @t56 () (not (tptp.class_Ring__and__Field_Oordered__idom @t51))) % 0.64/0.88 (define @t57 () (@list tptp.t_b)) % 0.64/0.88 (define @t58 () (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) % 0.64/0.88 (define @t59 () (not @t9)) % 0.64/0.88 (define @t60 () (or @t59 @t58)) % 0.64/0.88 (define @t61 () (@list false false)) % 0.64/0.88 (define @t62 () (tptp.c_plus tptp.c_0 @t3 tptp.t_b)) % 0.64/0.88 (define @t63 () (= @t3 @t62)) % 0.64/0.88 (define @t64 () (not @t58)) % 0.64/0.88 (define @t65 () (or @t64 @t63)) % 0.64/0.88 (define @t66 () (tptp.c_plus tptp.c_0 @t6 tptp.t_b)) % 0.64/0.88 (define @t67 () (= @t6 @t66)) % 0.64/0.88 (define @t68 () (or @t64 @t67)) % 0.64/0.88 (define @t69 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.64/0.88 (define @t70 () (or @t59 @t69)) % 0.64/0.88 (define @t71 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.64/0.88 (define @t72 () (not @t69)) % 0.64/0.88 (define @t73 () (or @t72 @t71)) % 0.64/0.88 (define @t74 () (tptp.c_minus @t2 @t3 tptp.t_b)) % 0.64/0.88 (define @t75 () (tptp.c_HOL_Oabs @t74 tptp.t_b)) % 0.64/0.88 (define @t76 () (tptp.c_uminus @t74 tptp.t_b)) % 0.64/0.88 (define @t77 () (tptp.c_lessequals @t74 tptp.c_0 tptp.t_b)) % 0.64/0.88 (define @t78 () (not @t77)) % 0.64/0.88 (define @t79 () (or @t72 @t78 (= @t75 @t76))) % 0.64/0.88 (define @t80 () (= @t76 @t75)) % 0.64/0.88 (define @t81 () (or @t72 @t78 @t80)) % 0.64/0.88 (define @t82 () (@list false)) % 0.64/0.88 (define @t83 () (tptp.c_uminus @t2 tptp.t_b)) % 0.64/0.88 (define @t84 () (tptp.c_plus @t3 @t83 tptp.t_b)) % 0.64/0.88 (define @t85 () (tptp.c_uminus @t83 tptp.t_b)) % 0.64/0.88 (define @t86 () (tptp.c_uminus @t3 tptp.t_b)) % 0.64/0.88 (define @t87 () (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) % 0.64/0.88 (define @t88 () (or @t59 @t87)) % 0.64/0.88 (define @t89 () (tptp.c_plus @t2 @t86 tptp.t_b)) % 0.64/0.88 (define @t90 () (tptp.c_minus @t89 @t86 tptp.t_b)) % 0.64/0.88 (define @t91 () (= @t2 @t90)) % 0.64/0.88 (define @t92 () (not @t87)) % 0.64/0.88 (define @t93 () (or @t92 @t91)) % 0.64/0.88 (define @t94 () (tptp.c_minus @t86 @t89 tptp.t_b)) % 0.64/0.88 (define @t95 () (tptp.c_uminus @t94 tptp.t_b)) % 0.64/0.88 (define @t96 () (or @t92 (= @t95 @t90))) % 0.64/0.88 (define @t97 () (= @t90 @t95)) % 0.64/0.88 (define @t98 () (or @t92 @t97)) % 0.64/0.88 (define @t99 () (@list @t41)) % 0.64/0.88 (define @t100 () (= (tptp.c_uminus @t90 tptp.t_b) @t94)) % 0.64/0.88 (define @t101 () (or @t92 @t100)) % 0.64/0.88 (define @t102 () (tptp.c_lessequals @t85 @t6 tptp.t_b)) % 0.64/0.88 (define @t103 () (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.t_b)) % 0.64/0.88 (define @t104 () (or @t72 @t103)) % 0.64/0.88 (define @t105 () (tptp.c_plus @t84 @t6 tptp.t_b)) % 0.64/0.88 (define @t106 () (tptp.c_plus @t84 @t85 tptp.t_b)) % 0.64/0.88 (define @t107 () (tptp.c_lessequals @t106 @t105 tptp.t_b)) % 0.64/0.88 (define @t108 () (not @t102)) % 0.64/0.88 (define @t109 () (not @t103)) % 0.64/0.88 (define @t110 () (or @t109 @t108 @t107)) % 0.64/0.88 (define @t111 () (tptp.c_minus (tptp.c_plus @t6 @t86 tptp.t_b) @t86 tptp.t_b)) % 0.64/0.88 (define @t112 () (= @t6 @t111)) % 0.64/0.88 (define @t113 () (or @t92 @t112)) % 0.64/0.88 (define @t114 () (tptp.c_minus @t84 @t83 tptp.t_b)) % 0.64/0.88 (define @t115 () (= @t114 @t106)) % 0.64/0.88 (define @t116 () (or @t92 @t115)) % 0.64/0.88 (define @t117 () (= @t3 @t114)) % 0.64/0.88 (define @t118 () (or @t92 @t117)) % 0.64/0.88 (define @t119 () (@list tptp.t_b @t4)) % 0.64/0.88 (define @t120 () (tptp.c_uminus @t4 tptp.t_b)) % 0.64/0.88 (define @t121 () (= @t5 (tptp.c_HOL_Oabs @t120 tptp.t_b))) % 0.64/0.88 (define @t122 () (or @t72 @t121)) % 0.64/0.88 (define @t123 () (@list tptp.t_b tptp.c_0 @t5 @t7)) % 0.64/0.88 (define @t124 () (tptp.c_lessequals tptp.c_0 @t5 tptp.t_b)) % 0.64/0.88 (define @t125 () (or @t72 @t124)) % 0.64/0.88 (define @t126 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.64/0.88 (define @t127 () (or @t59 @t126)) % 0.64/0.88 (define @t128 () (tptp.c_lessequals @t7 @t5 tptp.t_b)) % 0.64/0.88 (define @t129 () (not @t128)) % 0.64/0.88 (define @t130 () (not @t124)) % 0.64/0.88 (define @t131 () (not @t126)) % 0.64/0.88 (define @t132 () (or @t131 @t130 @t129 @t8)) % 0.64/0.88 (define @t133 () (@list true false false false)) % 0.64/0.88 (define @t134 () (tptp.c_plus @t5 @t6 tptp.t_b)) % 0.64/0.88 (define @t135 () (tptp.c_lessequals @t3 @t134 tptp.t_b)) % 0.64/0.88 (define @t136 () (not @t135)) % 0.64/0.88 (define @t137 () (not @t71)) % 0.64/0.88 (define @t138 () (or @t137 @t136 @t128)) % 0.64/0.88 (define @t139 () (@list true false false)) % 0.64/0.88 (define @t140 () (or @t92 (= @t76 @t4))) % 0.64/0.88 (define @t141 () (= @t4 @t76)) % 0.64/0.88 (define @t142 () (or @t92 @t141)) % 0.64/0.88 (define @t143 () (@list tptp.t_b @t3 @t2)) % 0.64/0.88 (define @t144 () (= @t120 @t74)) % 0.64/0.88 (define @t145 () (or @t92 @t144)) % 0.64/0.88 (define @t146 () (= @t4 @t84)) % 0.64/0.88 (define @t147 () (or @t92 @t146)) % 0.64/0.88 (define @t148 () (not @t107)) % 0.64/0.88 (define @t149 () (not @t112)) % 0.64/0.88 (define @t150 () (not @t115)) % 0.64/0.88 (define @t151 () (not @t117)) % 0.64/0.88 (define @t152 () (not @t80)) % 0.64/0.88 (define @t153 () (not @t121)) % 0.64/0.88 (define @t154 () (not @t141)) % 0.64/0.88 (define @t155 () (not @t144)) % 0.64/0.88 (define @t156 () (not @t146)) % 0.64/0.88 (define @t157 () (and @t107 @t115 @t80 @t112 @t121 @t117 @t141 @t144 @t136 @t146)) % 0.64/0.88 (define @t158 () (@list false true false)) % 0.64/0.88 (define @t159 () (tptp.c_lessequals @t2 @t62 tptp.t_b)) % 0.64/0.88 (define @t160 () (not @t159)) % 0.64/0.88 (define @t161 () (or @t137 @t160 @t77)) % 0.64/0.88 (define @t162 () (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) % 0.64/0.88 (define @t163 () (or @t59 @t162)) % 0.64/0.88 (define @t164 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.64/0.88 (define @t165 () (not @t162)) % 0.64/0.88 (define @t166 () (or @t165 @t164)) % 0.64/0.88 (define @t167 () (tptp.c_lessequals @t2 @t6 tptp.t_b)) % 0.64/0.88 (define @t168 () (not @t167)) % 0.64/0.88 (define @t169 () (tptp.c_lessequals @t6 @t62 tptp.t_b)) % 0.64/0.88 (define @t170 () (not @t169)) % 0.64/0.88 (define @t171 () (not @t164)) % 0.64/0.88 (define @t172 () (or @t171 @t170 @t168 @t159)) % 0.64/0.88 (define @t173 () (tptp.c_less @t62 @t6 tptp.t_b)) % 0.64/0.88 (define @t174 () (or @t131 @t173 @t169)) % 0.64/0.88 (define @t175 () (tptp.c_lessequals @t7 tptp.c_0 tptp.t_b)) % 0.64/0.88 (define @t176 () (not @t175)) % 0.64/0.88 (define @t177 () (or @t171 @t130 @t176 @t128)) % 0.64/0.88 (define @t178 () (tptp.c_lessequals @t3 @t66 tptp.t_b)) % 0.64/0.88 (define @t179 () (not @t178)) % 0.64/0.88 (define @t180 () (or @t137 @t179 @t175)) % 0.64/0.88 (define @t181 () (tptp.c_less @t3 @t66 tptp.t_b)) % 0.64/0.88 (define @t182 () (not @t181)) % 0.64/0.88 (define @t183 () (or @t171 @t182 @t178)) % 0.64/0.88 (define @t184 () (and @t63 @t67 @t173)) % 0.64/0.88 (assume @p1 (forall (@list @t1) (tptp.c_lessequals (tptp.v_g @t1) (tptp.v_k @t1) tptp.t_b))) % 0.64/0.88 (assume @p2 (not @t8)) % 0.64/0.88 (assume @p3 @t9) % 0.64/0.88 (assume @p4 (forall @t15 (or @t14 (= @t13 (tptp.c_plus @t12 (tptp.c_uminus @t11 @t10) @t10))))) % 0.64/0.88 (assume @p5 (forall @t18 (or @t17 (tptp.c_lessequals tptp.c_0 @t16 @t10)))) % 0.64/0.88 (assume @p6 @t22) % 0.64/0.88 (assume @p7 @t23) % 0.64/0.88 (assume @p8 (forall @t28 (or @t27 (not @t26) (tptp.c_lessequals (tptp.c_plus @t24 @t12 @t10) @t25 @t10)))) % 0.64/0.88 (assume @p9 (forall @t31 (or @t27 (not (tptp.c_lessequals @t30 @t29 @t10)) @t26))) % 0.64/0.88 (assume @p10 @t36) % 0.64/0.88 (assume @p11 @t39) % 0.64/0.88 (assume @p12 (forall @t28 (or @t14 (= (tptp.c_plus @t12 (tptp.c_minus @t11 @t24 @t10) @t10) (tptp.c_minus (tptp.c_plus @t12 @t11 @t10) @t24 @t10))))) % 0.64/0.88 (assume @p13 (forall @t28 (or @t14 (= (tptp.c_plus @t13 @t24 @t10) (tptp.c_minus @t30 @t11 @t10))))) % 0.64/0.88 (assume @p14 (forall @t28 (or @t14 (= (tptp.c_minus @t13 @t24 @t10) (tptp.c_minus @t12 @t29 @t10))))) % 0.64/0.88 (assume @p15 (forall @t28 (or @t40 (not (tptp.c_less @t13 @t24 @t10)) (tptp.c_less @t12 @t25 @t10)))) % 0.64/0.88 (assume @p16 (forall @t31 (or @t40 (not (tptp.c_lessequals @t12 @t25 @t10)) (tptp.c_lessequals @t13 @t24 @t10)))) % 0.64/0.88 (assume @p17 (forall @t18 (or @t14 (= (tptp.c_minus @t12 @t12 @t10) tptp.c_0)))) % 0.64/0.88 (assume @p18 @t41) % 0.64/0.88 (assume @p19 (forall @t46 (or @t45 @t44 @t43))) % 0.64/0.88 (assume @p20 (forall @t46 (or @t45 (not @t44) @t47))) % 0.64/0.88 (assume @p21 (forall (@list @t48 @t32 @t49 @t42) (or (not (tptp.class_Orderings_Olinorder @t48)) (not (tptp.c_lessequals @t32 @t49 @t48)) (not (tptp.c_lessequals @t42 @t49 @t48)) (tptp.c_lessequals (tptp.c_Orderings_Omax @t42 @t32 @t48) @t49 @t48)))) % 0.64/0.88 (assume @p22 (forall (@list @t10 @t32 @t49 @t42) (or @t50 (not (tptp.c_lessequals @t32 @t49 @t10)) @t47 (tptp.c_lessequals @t42 @t49 @t10)))) % 0.64/0.88 (assume @p23 (forall (@list @t10 @t42 @t32) (or @t50 (not (tptp.c_less @t42 @t32 @t10)) @t43))) % 0.64/0.88 (assume @p24 (forall @t53 (or (not @t52) (tptp.class_Orderings_Oorder @t51)))) % 0.64/0.88 (assume @p25 (forall @t53 (or @t55 (tptp.class_OrderedGroup_Opordered__ab__group__add @t51)))) % 0.64/0.88 (assume @p26 (forall @t53 (or @t55 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t51)))) % 0.64/0.88 (assume @p27 (forall @t53 (or @t56 (tptp.class_OrderedGroup_Ocomm__monoid__add @t51)))) % 0.64/0.88 (assume @p28 (forall @t53 (or @t56 (tptp.class_Orderings_Olinorder @t51)))) % 0.64/0.88 (assume @p29 (forall @t53 (or @t56 @t52))) % 0.64/0.88 (assume @p30 (forall @t53 (or @t56 (tptp.class_OrderedGroup_Oab__group__add @t51)))) % 0.64/0.88 (assume @p31 (forall @t53 (or @t56 @t54))) % 0.64/0.88 (step @p32 :rule eq-symm :args (@t33 @t32)) % 0.64/0.88 (step @p33 :rule refl :args (@t34)) % 0.64/0.88 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t35)) % 0.64/0.88 (step @p35 :rule cong :premises (@p34) :args (@t36)) % 0.64/0.88 (step @p36 :rule eq_resolve :premises (@p10 @p35)) % 0.64/0.88 (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.t_b @t3))) % 0.64/0.88 (step @p38 :rule instantiate :premises (@p27) :args (@t57)) % 0.64/0.88 (step @p39 :rule cnf_or_pos :args (@t60)) % 0.64/0.88 (step @p40 :rule reordering :premises (@p39) :args ((or @t59 @t58 (not @t60)))) % 0.64/0.88 (step @p41 :rule chain_m_resolution :premises (@p40 @p3 @p38) :args (@t58 @t61 (@list @t9 @t60))) % 0.64/0.88 (step @p42 :rule cnf_or_pos :args (@t65)) % 0.64/0.88 (step @p43 :rule reordering :premises (@p42) :args ((or @t64 @t63 (not @t65)))) % 0.64/0.88 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p37) :args (@t63 @t61 (@list @t58 @t65))) % 0.64/0.88 (step @p45 :rule instantiate :premises (@p36) :args ((@list tptp.t_b @t6))) % 0.64/0.88 (step @p46 :rule cnf_or_pos :args (@t68)) % 0.64/0.88 (step @p47 :rule reordering :premises (@p46) :args ((or @t64 @t67 (not @t68)))) % 0.64/0.88 (step @p48 :rule chain_m_resolution :premises (@p47 @p41 @p45) :args (@t67 @t61 (@list @t58 @t68))) % 0.64/0.88 (step @p49 :rule instantiate :premises (@p19) :args ((@list tptp.t_b @t62 @t6))) % 0.64/0.88 (step @p50 :rule instantiate :premises (@p22) :args ((@list tptp.t_b @t6 @t62 @t2))) % 0.64/0.88 (step @p51 :rule instantiate :premises (@p16) :args ((@list tptp.t_b @t2 tptp.c_0 @t3))) % 0.64/0.88 (step @p52 :rule instantiate :premises (@p25) :args (@t57)) % 0.64/0.88 (step @p53 :rule instantiate :premises (@p31) :args (@t57)) % 0.64/0.88 (step @p54 :rule cnf_or_pos :args (@t70)) % 0.64/0.88 (step @p55 :rule reordering :premises (@p54) :args ((or @t59 @t69 (not @t70)))) % 0.64/0.88 (step @p56 :rule chain_m_resolution :premises (@p55 @p3 @p53) :args (@t69 @t61 (@list @t9 @t70))) % 0.64/0.88 (step @p57 :rule cnf_or_pos :args (@t73)) % 0.64/0.88 (step @p58 :rule reordering :premises (@p57) :args ((or @t72 @t71 (not @t73)))) % 0.64/0.88 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p52) :args (@t71 @t61 (@list @t69 @t73))) % 0.64/0.88 (step @p60 :rule eq-symm :args (@t75 @t76)) % 0.64/0.88 (step @p61 :rule refl :args (@t78)) % 0.64/0.88 (step @p62 :rule refl :args (@t72)) % 0.64/0.88 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t79)) % 0.64/0.88 (step @p64 :rule refl :args (@t23)) % 0.64/0.88 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t23 @t79))) % 0.64/0.88 (assume-push @p323 @t23) % 0.64/0.88 (step @p67 :rule instantiate :premises (@p7) :args ((@list tptp.t_b @t74))) % 0.64/0.88 (step-pop @p324 :rule scope :premises (@p67)) % 0.64/0.88 (step @p68 :rule process_scope :premises (@p324) :args (@t79)) % 0.64/0.88 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 0.64/0.88 (step @p71 :rule implies_elim :premises (@p70)) % 0.64/0.88 (step @p72 :rule chain_m_resolution :premises (@p71 @p7) :args (@t81 @t82 (@list @t23))) % 0.64/0.88 (step @p73 :rule instantiate :premises (@p8) :args ((@list tptp.t_b @t85 @t6 @t84))) % 0.64/0.88 (step @p74 :rule instantiate :premises (@p1) :args ((@list tptp.v_x))) % 0.64/0.88 (step @p75 :rule true_intro :premises (@p74)) % 0.64/0.88 (step @p76 :rule refl :args (tptp.t_b)) % 0.64/0.88 (step @p77 :rule refl :args (@t6)) % 0.64/0.88 (step @p78 :rule eq-symm :args (@t37 @t24)) % 0.64/0.88 (step @p79 :rule refl :args (@t14)) % 0.64/0.88 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t38)) % 0.64/0.88 (step @p81 :rule cong :premises (@p80) :args (@t39)) % 0.64/0.88 (step @p82 :rule eq_resolve :premises (@p11 @p81)) % 0.64/0.88 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.t_b @t2 @t86))) % 0.64/0.88 (step @p84 :rule instantiate :premises (@p30) :args (@t57)) % 0.64/0.88 (step @p85 :rule cnf_or_pos :args (@t88)) % 0.64/0.88 (step @p86 :rule reordering :premises (@p85) :args ((or @t59 @t87 (not @t88)))) % 0.64/0.88 (step @p87 :rule chain_m_resolution :premises (@p86 @p3 @p84) :args (@t87 @t61 (@list @t9 @t88))) % 0.64/0.88 (step @p88 :rule cnf_or_pos :args (@t93)) % 0.64/0.88 (step @p89 :rule reordering :premises (@p88) :args ((or @t92 @t91 (not @t93)))) % 0.64/0.88 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p83) :args (@t91 @t61 (@list @t87 @t93))) % 0.64/0.88 (step @p91 :rule symm :premises (@p90)) % 0.64/0.88 (step @p92 :rule eq-symm :args (@t95 @t90)) % 0.64/0.88 (step @p93 :rule refl :args (@t92)) % 0.64/0.88 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t96)) % 0.64/0.88 (step @p95 :rule refl :args (@t41)) % 0.64/0.88 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t41 @t96))) % 0.64/0.88 (assume-push @p325 @t41) % 0.64/0.88 (step @p98 :rule instantiate :premises (@p18) :args ((@list tptp.t_b @t86 @t89))) % 0.64/0.88 (step-pop @p326 :rule scope :premises (@p98)) % 0.64/0.88 (step @p99 :rule process_scope :premises (@p326) :args (@t96)) % 0.64/0.88 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.64/0.88 (step @p102 :rule implies_elim :premises (@p101)) % 0.64/0.88 (step @p103 :rule chain_m_resolution :premises (@p102 @p18) :args (@t98 @t82 @t99)) % 0.64/0.88 (step @p104 :rule cnf_or_pos :args (@t98)) % 0.64/0.88 (step @p105 :rule reordering :premises (@p104) :args ((or @t92 @t97 (not @t98)))) % 0.64/0.88 (step @p106 :rule chain_m_resolution :premises (@p105 @p87 @p103) :args (@t97 @t61 (@list @t87 @t98))) % 0.64/0.88 (step @p107 :rule symm :premises (@p106)) % 0.64/0.88 (step @p108 :rule instantiate :premises (@p18) :args ((@list tptp.t_b @t89 @t86))) % 0.64/0.88 (step @p109 :rule cnf_or_pos :args (@t101)) % 0.64/0.88 (step @p110 :rule reordering :premises (@p109) :args ((or @t92 @t100 (not @t101)))) % 0.64/0.88 (step @p111 :rule chain_m_resolution :premises (@p110 @p87 @p108) :args (@t100 @t61 (@list @t87 @t101))) % 0.64/0.88 (step @p112 :rule cong :premises (@p90 @p76) :args (@t83)) % 0.64/0.88 (step @p113 :rule trans :premises (@p112 @p111)) % 0.64/0.88 (step @p114 :rule cong :premises (@p113 @p76) :args (@t85)) % 0.64/0.88 (step @p115 :rule trans :premises (@p114 @p107 @p91)) % 0.64/0.88 (step @p116 :rule cong :premises (@p115 @p77 @p76) :args (@t102)) % 0.64/0.88 (step @p117 :rule trans :premises (@p116 @p75)) % 0.64/0.88 (step @p118 :rule true_elim :premises (@p117)) % 0.64/0.88 (step @p119 :rule instantiate :premises (@p26) :args (@t57)) % 0.64/0.88 (step @p120 :rule cnf_or_pos :args (@t104)) % 0.64/0.88 (step @p121 :rule reordering :premises (@p120) :args ((or @t72 @t103 (not @t104)))) % 0.64/0.88 (step @p122 :rule chain_m_resolution :premises (@p121 @p56 @p119) :args (@t103 @t61 (@list @t69 @t104))) % 0.64/0.88 (step @p123 :rule cnf_or_pos :args (@t110)) % 0.64/0.88 (step @p124 :rule reordering :premises (@p123) :args ((or @t109 @t108 @t107 (not @t110)))) % 0.64/0.88 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p118 @p73) :args (@t107 (@list false false false) (@list @t103 @t102 @t110))) % 0.64/0.88 (step @p126 :rule instantiate :premises (@p82) :args ((@list tptp.t_b @t6 @t86))) % 0.64/0.88 (step @p127 :rule cnf_or_pos :args (@t113)) % 0.64/0.88 (step @p128 :rule reordering :premises (@p127) :args ((or @t92 @t112 (not @t113)))) % 0.64/0.88 (step @p129 :rule chain_m_resolution :premises (@p128 @p87 @p126) :args (@t112 @t61 (@list @t87 @t113))) % 0.64/0.88 (step @p130 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t84 @t83))) % 0.64/0.88 (step @p131 :rule cnf_or_pos :args (@t116)) % 0.64/0.88 (step @p132 :rule reordering :premises (@p131) :args ((or @t92 @t115 (not @t116)))) % 0.64/0.88 (step @p133 :rule chain_m_resolution :premises (@p132 @p87 @p130) :args (@t115 @t61 (@list @t87 @t116))) % 0.64/0.88 (step @p134 :rule instantiate :premises (@p82) :args ((@list tptp.t_b @t3 @t83))) % 0.64/0.88 (step @p135 :rule cnf_or_pos :args (@t118)) % 0.64/0.88 (step @p136 :rule reordering :premises (@p135) :args ((or @t92 @t117 (not @t118)))) % 0.64/0.88 (step @p137 :rule chain_m_resolution :premises (@p136 @p87 @p134) :args (@t117 @t61 (@list @t87 @t118))) % 0.64/0.88 (step @p138 :rule eq-symm :args (@t20 @t16)) % 0.64/0.88 (step @p139 :rule refl :args (@t17)) % 0.64/0.88 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t21)) % 0.64/0.88 (step @p141 :rule cong :premises (@p140) :args (@t22)) % 0.64/0.88 (step @p142 :rule eq_resolve :premises (@p6 @p141)) % 0.64/0.88 (step @p143 :rule instantiate :premises (@p142) :args (@t119)) % 0.64/0.88 (step @p144 :rule cnf_or_pos :args (@t122)) % 0.64/0.88 (step @p145 :rule reordering :premises (@p144) :args ((or @t72 @t121 (not @t122)))) % 0.64/0.88 (step @p146 :rule chain_m_resolution :premises (@p145 @p56 @p143) :args (@t121 @t61 (@list @t69 @t122))) % 0.64/0.88 (step @p147 :rule instantiate :premises (@p16) :args ((@list tptp.t_b @t3 @t5 @t6))) % 0.64/0.88 (step @p148 :rule instantiate :premises (@p21) :args (@t123)) % 0.64/0.88 (step @p149 :rule instantiate :premises (@p5) :args (@t119)) % 0.64/0.88 (step @p150 :rule cnf_or_pos :args (@t125)) % 0.64/0.88 (step @p151 :rule reordering :premises (@p150) :args ((or @t72 @t124 (not @t125)))) % 0.64/0.88 (step @p152 :rule chain_m_resolution :premises (@p151 @p56 @p149) :args (@t124 @t61 (@list @t69 @t125))) % 0.64/0.88 (step @p153 :rule instantiate :premises (@p28) :args (@t57)) % 0.64/0.88 (step @p154 :rule cnf_or_pos :args (@t127)) % 0.64/0.88 (step @p155 :rule reordering :premises (@p154) :args ((or @t59 @t126 (not @t127)))) % 0.64/0.88 (step @p156 :rule chain_m_resolution :premises (@p155 @p3 @p153) :args (@t126 @t61 (@list @t9 @t127))) % 0.64/0.88 (step @p157 :rule cnf_or_pos :args (@t132)) % 0.64/0.88 (step @p158 :rule reordering :premises (@p157) :args ((or @t8 @t131 @t130 @t129 (not @t132)))) % 0.64/0.88 (step @p159 :rule chain_m_resolution :premises (@p158 @p2 @p156 @p152 @p148) :args (@t129 @t133 (@list @t8 @t126 @t124 @t132))) % 0.64/0.88 (step @p160 :rule cnf_or_pos :args (@t138)) % 0.64/0.88 (step @p161 :rule reordering :premises (@p160) :args ((or @t128 @t137 @t136 (not @t138)))) % 0.64/0.88 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p59 @p147) :args (@t136 @t139 (@list @t128 @t71 @t138))) % 0.64/0.88 (step @p163 :rule eq-symm :args (@t76 @t4)) % 0.64/0.88 (step @p164 :rule nary_cong :premises (@p93 @p163) :args (@t140)) % 0.64/0.88 (step @p165 :rule cong :premises (@p95 @p164) :args ((=> @t41 @t140))) % 0.64/0.88 (assume-push @p327 @t41) % 0.64/0.88 (step @p167 :rule instantiate :premises (@p18) :args ((@list tptp.t_b @t2 @t3))) % 0.64/0.88 (step-pop @p328 :rule scope :premises (@p167)) % 0.64/0.88 (step @p168 :rule process_scope :premises (@p328) :args (@t140)) % 0.64/0.88 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 0.64/0.88 (step @p171 :rule implies_elim :premises (@p170)) % 0.64/0.88 (step @p172 :rule chain_m_resolution :premises (@p171 @p18) :args (@t142 @t82 @t99)) % 0.64/0.88 (step @p173 :rule cnf_or_pos :args (@t142)) % 0.64/0.88 (step @p174 :rule reordering :premises (@p173) :args ((or @t92 @t141 (not @t142)))) % 0.64/0.88 (step @p175 :rule chain_m_resolution :premises (@p174 @p87 @p172) :args (@t141 @t61 (@list @t87 @t142))) % 0.64/0.88 (step @p176 :rule instantiate :premises (@p18) :args (@t143)) % 0.64/0.88 (step @p177 :rule cnf_or_pos :args (@t145)) % 0.64/0.88 (step @p178 :rule reordering :premises (@p177) :args ((or @t92 @t144 (not @t145)))) % 0.64/0.88 (step @p179 :rule chain_m_resolution :premises (@p178 @p87 @p176) :args (@t144 @t61 (@list @t87 @t145))) % 0.64/0.88 (step @p180 :rule instantiate :premises (@p4) :args (@t143)) % 0.64/0.88 (step @p181 :rule cnf_or_pos :args (@t147)) % 0.64/0.88 (step @p182 :rule reordering :premises (@p181) :args ((or @t92 @t146 (not @t147)))) % 0.64/0.88 (step @p183 :rule chain_m_resolution :premises (@p182 @p87 @p180) :args (@t146 @t61 (@list @t87 @t147))) % 0.64/0.88 (step @p184 :rule refl :args (@t148)) % 0.64/0.88 (step @p185 :rule refl :args (@t149)) % 0.64/0.88 (step @p186 :rule refl :args (@t150)) % 0.64/0.88 (step @p187 :rule bool-double-not-elim :args (@t135)) % 0.64/0.88 (step @p188 :rule refl :args (@t151)) % 0.64/0.88 (step @p189 :rule refl :args (@t152)) % 0.64/0.88 (step @p190 :rule refl :args (@t153)) % 0.64/0.88 (step @p191 :rule refl :args (@t154)) % 0.64/0.88 (step @p192 :rule refl :args (@t155)) % 0.64/0.88 (step @p193 :rule refl :args (@t156)) % 0.64/0.88 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184) :args ((or @t156 @t155 @t154 @t153 @t152 @t151 (not @t136) @t150 @t149 @t148))) % 0.64/0.88 (assume-push @p329 @t107) % 0.64/0.88 (assume-push @p330 @t115) % 0.64/0.88 (assume-push @p331 @t80) % 0.64/0.88 (assume-push @p332 @t112) % 0.64/0.88 (assume-push @p333 @t121) % 0.64/0.88 (assume-push @p334 @t117) % 0.64/0.88 (assume-push @p335 @t141) % 0.64/0.88 (assume-push @p336 @t144) % 0.64/0.88 (assume-push @p337 @t136) % 0.64/0.88 (assume-push @p338 @t146) % 0.64/0.88 (step @p205 :rule evaluate :args ((= true false))) % 0.64/0.88 (step @p206 :rule false_intro :premises (@p162)) % 0.64/0.88 (step @p207 :rule refl :args (@t134)) % 0.64/0.88 (step @p208 :rule symm :premises (@p137)) % 0.64/0.88 (step @p209 :rule cong :premises (@p208 @p207 @p76) :args ((tptp.c_lessequals @t114 @t134 tptp.t_b))) % 0.64/0.88 (step @p210 :rule symm :premises (@p129)) % 0.64/0.88 (step @p211 :rule refl :args (@t5)) % 0.64/0.88 (step @p212 :rule cong :premises (@p211 @p210 @p76) :args ((tptp.c_plus @t5 @t111 tptp.t_b))) % 0.64/0.88 (step @p213 :rule symm :premises (@p146)) % 0.64/0.88 (step @p214 :rule symm :premises (@p179)) % 0.64/0.88 (step @p215 :rule cong :premises (@p214 @p76) :args (@t75)) % 0.64/0.88 (step @p216 :rule symm :premises (@p183)) % 0.64/0.88 (step @p217 :rule trans :premises (@p216 @p175 @p331 @p215 @p213)) % 0.64/0.88 (step @p218 :rule cong :premises (@p217 @p129 @p76) :args (@t105)) % 0.64/0.88 (step @p219 :rule trans :premises (@p218 @p212)) % 0.64/0.88 (step @p220 :rule symm :premises (@p133)) % 0.64/0.88 (step @p221 :rule cong :premises (@p220 @p219 @p76) :args (@t107)) % 0.64/0.88 (step @p222 :rule true_intro :premises (@p125)) % 0.64/0.88 (step @p223 :rule symm :premises (@p222)) % 0.64/0.88 (step @p224 :rule trans :premises (@p223 @p221 @p209 @p206)) % 0.64/0.88 (step @p225 false :rule eq_resolve :premises (@p224 @p205)) % 0.64/0.88 (step-pop @p339 :rule scope :premises (@p225)) % 0.64/0.88 (step-pop @p340 :rule scope :premises (@p339)) % 0.64/0.88 (step-pop @p341 :rule scope :premises (@p340)) % 0.64/0.88 (step-pop @p342 :rule scope :premises (@p341)) % 0.64/0.88 (step-pop @p343 :rule scope :premises (@p342)) % 0.64/0.88 (step-pop @p344 :rule scope :premises (@p343)) % 0.64/0.88 (step-pop @p345 :rule scope :premises (@p344)) % 0.64/0.88 (step-pop @p346 :rule scope :premises (@p345)) % 0.64/0.88 (step-pop @p347 :rule scope :premises (@p346)) % 0.64/0.88 (step-pop @p348 :rule scope :premises (@p347)) % 0.64/0.88 (step @p226 :rule process_scope :premises (@p348) :args (false)) % 0.64/0.88 (assume-push @p349 @t146) % 0.64/0.88 (assume-push @p350 @t144) % 0.64/0.88 (assume-push @p351 @t141) % 0.64/0.88 (assume-push @p352 @t121) % 0.64/0.88 (assume-push @p353 @t80) % 0.64/0.88 (assume-push @p354 @t117) % 0.64/0.88 (assume-push @p355 @t136) % 0.64/0.88 (assume-push @p356 @t115) % 0.64/0.88 (assume-push @p357 @t112) % 0.64/0.88 (assume-push @p358 @t107) % 0.64/0.88 (step @p247 :rule and_intro :premises (@p125 @p133 @p353 @p129 @p146 @p137 @p175 @p179 @p162 @p183)) % 0.64/0.88 (step-pop @p359 :rule scope :premises (@p247)) % 0.64/0.88 (step-pop @p360 :rule scope :premises (@p359)) % 0.64/0.88 (step-pop @p361 :rule scope :premises (@p360)) % 0.64/0.88 (step-pop @p362 :rule scope :premises (@p361)) % 0.64/0.88 (step-pop @p363 :rule scope :premises (@p362)) % 0.64/0.88 (step-pop @p364 :rule scope :premises (@p363)) % 0.64/0.88 (step-pop @p365 :rule scope :premises (@p364)) % 0.64/0.88 (step-pop @p366 :rule scope :premises (@p365)) % 0.64/0.88 (step-pop @p367 :rule scope :premises (@p366)) % 0.64/0.88 (step-pop @p368 :rule scope :premises (@p367)) % 0.64/0.88 (step @p248 :rule process_scope :premises (@p368) :args (@t157)) % 0.64/0.88 (step @p259 :rule implies_elim :premises (@p248)) % 0.64/0.88 (step @p260 :rule resolution :premises (@p259 @p226) :args (true @t157)) % 0.64/0.88 (step @p261 :rule not_and :premises (@p260)) % 0.64/0.88 (step @p262 :rule eq_resolve :premises (@p261 @p194)) % 0.64/0.88 (step @p263 :rule reordering :premises (@p262) :args ((or @t156 @t155 @t154 @t135 @t153 @t152 @t151 @t150 @t149 @t148))) % 0.64/0.88 (step @p264 :rule chain_m_resolution :premises (@p263 @p183 @p179 @p175 @p162 @p146 @p137 @p133 @p129 @p125) :args (@t152 (@list false false false true false false false false false) (@list @t146 @t144 @t141 @t135 @t121 @t117 @t115 @t112 @t107))) % 0.64/0.88 (step @p265 :rule cnf_or_pos :args (@t81)) % 0.64/0.88 (step @p266 :rule reordering :premises (@p265) :args ((or @t72 @t78 @t80 (not @t81)))) % 0.64/0.88 (step @p267 :rule chain_m_resolution :premises (@p266 @p56 @p264 @p72) :args (@t78 @t158 (@list @t69 @t80 @t81))) % 0.64/0.88 (step @p268 :rule cnf_or_pos :args (@t161)) % 0.64/0.88 (step @p269 :rule reordering :premises (@p268) :args ((or @t77 @t137 @t160 (not @t161)))) % 0.64/0.88 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p59 @p51) :args (@t160 @t139 (@list @t77 @t71 @t161))) % 0.64/0.88 (step @p271 :rule instantiate :premises (@p24) :args (@t57)) % 0.64/0.88 (step @p272 :rule instantiate :premises (@p29) :args (@t57)) % 0.64/0.88 (step @p273 :rule cnf_or_pos :args (@t163)) % 0.64/0.88 (step @p274 :rule reordering :premises (@p273) :args ((or @t59 @t162 (not @t163)))) % 0.64/0.88 (step @p275 :rule chain_m_resolution :premises (@p274 @p3 @p272) :args (@t162 @t61 (@list @t9 @t163))) % 0.64/0.88 (step @p276 :rule cnf_or_pos :args (@t166)) % 0.64/0.88 (step @p277 :rule reordering :premises (@p276) :args ((or @t164 @t165 (not @t166)))) % 0.64/0.88 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p271) :args (@t164 @t61 (@list @t162 @t166))) % 0.64/0.88 (step @p279 :rule cnf_or_pos :args (@t172)) % 0.64/0.88 (step @p280 :rule reordering :premises (@p279) :args ((or @t171 @t168 @t170 @t159 (not @t172)))) % 0.64/0.88 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p74 @p270 @p50) :args (@t170 (@list false false true false) (@list @t164 @t167 @t159 @t172))) % 0.64/0.88 (step @p282 :rule cnf_or_pos :args (@t174)) % 0.64/0.88 (step @p283 :rule reordering :premises (@p282) :args ((or @t131 @t169 @t173 (not @t174)))) % 0.64/0.88 (step @p284 :rule chain_m_resolution :premises (@p283 @p156 @p281 @p49) :args (@t173 @t158 (@list @t126 @t169 @t174))) % 0.64/0.88 (step @p285 :rule instantiate :premises (@p23) :args ((@list tptp.t_b @t3 @t66))) % 0.64/0.88 (step @p286 :rule instantiate :premises (@p16) :args ((@list tptp.t_b @t3 tptp.c_0 @t6))) % 0.64/0.88 (step @p287 :rule instantiate :premises (@p22) :args (@t123)) % 0.64/0.88 (step @p288 :rule cnf_or_pos :args (@t177)) % 0.64/0.88 (step @p289 :rule reordering :premises (@p288) :args ((or @t130 @t128 @t171 @t176 (not @t177)))) % 0.64/0.88 (step @p290 :rule chain_m_resolution :premises (@p289 @p152 @p159 @p278 @p287) :args (@t176 (@list false true false false) (@list @t124 @t128 @t164 @t177))) % 0.64/0.88 (step @p291 :rule cnf_or_pos :args (@t180)) % 0.64/0.88 (step @p292 :rule reordering :premises (@p291) :args ((or @t175 @t137 @t179 (not @t180)))) % 0.64/0.88 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p59 @p286) :args (@t179 @t139 (@list @t175 @t71 @t180))) % 0.64/0.88 (step @p294 :rule cnf_or_pos :args (@t183)) % 0.64/0.88 (step @p295 :rule reordering :premises (@p294) :args ((or @t171 @t178 @t182 (not @t183)))) % 0.64/0.88 (step @p296 :rule chain_m_resolution :premises (@p295 @p278 @p293 @p285) :args (@t182 @t158 (@list @t164 @t178 @t183))) % 0.64/0.88 (assume-push @p369 @t63) % 0.64/0.88 (assume-push @p370 @t67) % 0.64/0.88 (assume-push @p371 @t173) % 0.64/0.88 (assume-push @p372 @t63) % 0.64/0.88 (assume-push @p373 @t173) % 0.64/0.88 (assume-push @p374 @t67) % 0.64/0.88 (step @p303 :rule true_intro :premises (@p371)) % 0.64/0.88 (step @p304 :rule symm :premises (@p48)) % 0.64/0.88 (step @p305 :rule cong :premises (@p44 @p304 @p76) :args (@t181)) % 0.64/0.88 (step @p306 :rule trans :premises (@p305 @p303)) % 0.64/0.88 (step @p307 :rule true_elim :premises (@p306)) % 0.64/0.88 (step-pop @p375 :rule scope :premises (@p307)) % 0.64/0.88 (step-pop @p376 :rule scope :premises (@p375)) % 0.64/0.88 (step-pop @p377 :rule scope :premises (@p376)) % 0.64/0.88 (step @p308 :rule process_scope :premises (@p377) :args (@t181)) % 0.64/0.88 (step @p312 :rule and_intro :premises (@p44 @p371 @p48)) % 0.64/0.88 (step @p313 :rule modus_ponens :premises (@p312 @p308)) % 0.64/0.88 (step-pop @p378 :rule scope :premises (@p313)) % 0.64/0.88 (step-pop @p379 :rule scope :premises (@p378)) % 0.64/0.88 (step-pop @p380 :rule scope :premises (@p379)) % 0.64/0.88 (step @p314 :rule process_scope :premises (@p380) :args (@t181)) % 0.64/0.88 (step @p318 :rule implies_elim :premises (@p314)) % 0.64/0.88 (step @p319 :rule cnf_and_neg :args (@t184)) % 0.64/0.88 (step @p320 :rule resolution :premises (@p319 @p318) :args (true @t184)) % 0.64/0.88 (step @p321 :rule reordering :premises (@p320) :args ((or @t181 (not @t63) (not @t67) (not @t173)))) % 0.64/0.88 (step @p322 false :rule chain_m_resolution :premises (@p321 @p296 @p284 @p48 @p44) :args (false @t133 (@list @t181 @t173 @t67 @t63))) % 0.64/0.88 ) % 0.64/0.89 % SZS output end Proof % 0.64/0.89 % cvc5 exiting %------------------------------------------------------------------------------