%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA022-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:06:33 AM UTC 2026 % Result : Unsatisfiable 0.61s 0.88s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ANA022-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:19:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----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... % 0.61/0.88 % SZS status Unsatisfiable % 0.61/0.88 % SZS output start Proof % 0.61/0.89 ( % 0.61/0.89 (declare-sort $$unsorted 0) % 0.61/0.89 (declare-const tptp.class_LOrder_Ojoin__semilorder (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.t_b $$unsorted) % 0.61/0.89 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.89 (declare-const tptp.v_x $$unsorted) % 0.61/0.89 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.c_0 $$unsorted) % 0.61/0.89 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.c_uminus (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.c_Orderings_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.61/0.89 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.61/0.89 (define @t1 () (@var "V_U" $$unsorted)) % 0.61/0.89 (define @t2 () (tptp.v_g tptp.v_x)) % 0.61/0.89 (define @t3 () (tptp.v_f tptp.v_x)) % 0.61/0.89 (define @t4 () (tptp.c_minus @t3 @t2 tptp.t_b)) % 0.61/0.89 (define @t5 () (tptp.c_HOL_Oabs @t4 tptp.t_b)) % 0.61/0.89 (define @t6 () (tptp.v_k tptp.v_x)) % 0.61/0.89 (define @t7 () (tptp.c_minus @t6 @t2 tptp.t_b)) % 0.61/0.89 (define @t8 () (tptp.c_lessequals (tptp.c_Orderings_Omax @t7 tptp.c_0 tptp.t_b) @t5 tptp.t_b)) % 0.61/0.89 (define @t9 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.61/0.89 (define @t10 () (@var "T_a" $$unsorted)) % 0.61/0.89 (define @t11 () (@var "V_a" $$unsorted)) % 0.61/0.89 (define @t12 () (tptp.c_HOL_Oabs @t11 @t10)) % 0.61/0.89 (define @t13 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t10))) % 0.61/0.89 (define @t14 () (@list @t10 @t11)) % 0.61/0.89 (define @t15 () (tptp.c_uminus @t11 @t10)) % 0.61/0.89 (define @t16 () (tptp.c_HOL_Oabs @t15 @t10)) % 0.61/0.89 (define @t17 () (or @t13 (= @t16 @t12))) % 0.61/0.89 (define @t18 () (forall @t14 @t17)) % 0.61/0.89 (define @t19 () (forall @t14 (or @t13 (not (tptp.c_lessequals @t11 tptp.c_0 @t10)) (= @t12 @t15)))) % 0.61/0.89 (define @t20 () (@var "V_b" $$unsorted)) % 0.61/0.89 (define @t21 () (tptp.c_lessequals @t11 @t20 @t10)) % 0.61/0.89 (define @t22 () (@var "V_c" $$unsorted)) % 0.61/0.89 (define @t23 () (tptp.c_plus @t11 @t22 @t10)) % 0.61/0.89 (define @t24 () (@list @t10 @t11 @t22 @t20)) % 0.61/0.89 (define @t25 () (@var "V_y" $$unsorted)) % 0.61/0.89 (define @t26 () (tptp.c_plus tptp.c_0 @t25 @t10)) % 0.61/0.89 (define @t27 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t10))) % 0.61/0.89 (define @t28 () (or @t27 (= @t26 @t25))) % 0.61/0.89 (define @t29 () (forall (@list @t10 @t25) @t28)) % 0.61/0.89 (define @t30 () (tptp.c_plus @t11 @t20 @t10)) % 0.61/0.89 (define @t31 () (not (tptp.class_OrderedGroup_Oab__group__add @t10))) % 0.61/0.89 (define @t32 () (@list @t10 @t11 @t20 @t22)) % 0.61/0.89 (define @t33 () (forall @t32 (or @t31 (= (tptp.c_plus @t11 (tptp.c_minus @t20 @t22 @t10) @t10) (tptp.c_minus @t30 @t22 @t10))))) % 0.61/0.89 (define @t34 () (tptp.c_minus @t11 @t20 @t10)) % 0.61/0.89 (define @t35 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t10))) % 0.61/0.89 (define @t36 () (@list @t10 @t11 @t20)) % 0.61/0.89 (define @t37 () (tptp.c_minus @t11 (tptp.c_uminus @t20 @t10) @t10)) % 0.61/0.89 (define @t38 () (or @t31 (= @t37 @t30))) % 0.61/0.89 (define @t39 () (forall @t36 @t38)) % 0.61/0.89 (define @t40 () (tptp.c_minus @t11 @t11 @t10)) % 0.61/0.89 (define @t41 () (or @t31 (= @t40 tptp.c_0))) % 0.61/0.89 (define @t42 () (forall @t14 @t41)) % 0.61/0.89 (define @t43 () (forall @t36 (or @t31 (= (tptp.c_uminus @t34 @t10) (tptp.c_minus @t20 @t11 @t10))))) % 0.61/0.89 (define @t44 () (@var "V_x" $$unsorted)) % 0.61/0.89 (define @t45 () (tptp.c_lessequals @t44 @t25 @t10)) % 0.61/0.89 (define @t46 () (@var "T_b" $$unsorted)) % 0.61/0.89 (define @t47 () (@var "V_z" $$unsorted)) % 0.61/0.89 (define @t48 () (not (tptp.class_Orderings_Oorder @t10))) % 0.61/0.89 (define @t49 () (forall (@list @t10 @t25 @t47 @t44) (or @t48 (not (tptp.c_lessequals @t25 @t47 @t10)) (not @t45) (tptp.c_lessequals @t44 @t47 @t10)))) % 0.61/0.89 (define @t50 () (@var "T" $$unsorted)) % 0.61/0.89 (define @t51 () (tptp.class_LOrder_Ojoin__semilorder @t50)) % 0.61/0.89 (define @t52 () (@list @t50)) % 0.61/0.89 (define @t53 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t50)) % 0.61/0.89 (define @t54 () (not @t53)) % 0.61/0.89 (define @t55 () (not (tptp.class_Ring__and__Field_Oordered__idom @t50))) % 0.61/0.89 (define @t56 () (@list tptp.t_b @t2 @t3)) % 0.61/0.89 (define @t57 () (tptp.c_minus @t2 @t3 tptp.t_b)) % 0.61/0.89 (define @t58 () (tptp.c_HOL_Oabs @t57 tptp.t_b)) % 0.61/0.89 (define @t59 () (tptp.c_uminus @t57 tptp.t_b)) % 0.61/0.89 (define @t60 () (tptp.c_lessequals @t57 tptp.c_0 tptp.t_b)) % 0.61/0.89 (define @t61 () (not @t60)) % 0.61/0.89 (define @t62 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.61/0.89 (define @t63 () (not @t62)) % 0.61/0.89 (define @t64 () (or @t63 @t61 (= @t58 @t59))) % 0.61/0.89 (define @t65 () (= @t59 @t58)) % 0.61/0.89 (define @t66 () (or @t63 @t61 @t65)) % 0.61/0.89 (define @t67 () (@list false)) % 0.61/0.89 (define @t68 () (@list tptp.t_b @t2)) % 0.61/0.89 (define @t69 () (@list tptp.t_b)) % 0.61/0.89 (define @t70 () (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) % 0.61/0.89 (define @t71 () (not @t9)) % 0.61/0.89 (define @t72 () (or @t71 @t70)) % 0.61/0.89 (define @t73 () (@list false false)) % 0.61/0.89 (define @t74 () (tptp.c_minus @t2 @t2 tptp.t_b)) % 0.61/0.89 (define @t75 () (= tptp.c_0 @t74)) % 0.61/0.89 (define @t76 () (not @t70)) % 0.61/0.89 (define @t77 () (or @t76 @t75)) % 0.61/0.89 (define @t78 () (tptp.c_uminus @t3 tptp.t_b)) % 0.61/0.89 (define @t79 () (tptp.c_plus tptp.c_0 tptp.c_0 tptp.t_b)) % 0.61/0.89 (define @t80 () (tptp.c_minus @t79 @t78 tptp.t_b)) % 0.61/0.89 (define @t81 () (tptp.c_plus @t80 tptp.c_0 tptp.t_b)) % 0.61/0.89 (define @t82 () (= @t81 (tptp.c_minus (tptp.c_plus @t79 tptp.c_0 tptp.t_b) @t78 tptp.t_b))) % 0.61/0.89 (define @t83 () (or @t76 @t82)) % 0.61/0.89 (define @t84 () (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) % 0.61/0.89 (define @t85 () (or @t71 @t84)) % 0.61/0.89 (define @t86 () (= tptp.c_0 @t79)) % 0.61/0.89 (define @t87 () (not @t84)) % 0.61/0.89 (define @t88 () (or @t87 @t86)) % 0.61/0.89 (define @t89 () (tptp.c_plus @t3 @t74 tptp.t_b)) % 0.61/0.89 (define @t90 () (tptp.c_minus (tptp.c_plus @t3 @t2 tptp.t_b) @t2 tptp.t_b)) % 0.61/0.89 (define @t91 () (or @t76 (= @t89 @t90))) % 0.61/0.89 (define @t92 () (@list tptp.t_b @t3 @t2 @t2)) % 0.61/0.89 (define @t93 () (= @t90 @t89)) % 0.61/0.89 (define @t94 () (or @t76 @t93)) % 0.61/0.89 (define @t95 () (tptp.c_minus tptp.c_0 @t78 tptp.t_b)) % 0.61/0.89 (define @t96 () (tptp.c_plus tptp.c_0 @t95 tptp.t_b)) % 0.61/0.89 (define @t97 () (= @t96 @t80)) % 0.61/0.89 (define @t98 () (or @t76 @t97)) % 0.61/0.89 (define @t99 () (tptp.c_plus tptp.c_0 @t3 tptp.t_b)) % 0.61/0.89 (define @t100 () (= @t99 @t95)) % 0.61/0.89 (define @t101 () (or @t76 @t100)) % 0.61/0.89 (define @t102 () (tptp.c_minus tptp.c_0 (tptp.c_uminus @t2 tptp.t_b) tptp.t_b)) % 0.61/0.89 (define @t103 () (tptp.c_plus tptp.c_0 @t2 tptp.t_b)) % 0.61/0.89 (define @t104 () (= @t103 @t102)) % 0.61/0.89 (define @t105 () (or @t76 @t104)) % 0.61/0.89 (define @t106 () (tptp.c_plus @t4 @t2 tptp.t_b)) % 0.61/0.89 (define @t107 () (= @t106 @t90)) % 0.61/0.89 (define @t108 () (or @t76 @t107)) % 0.61/0.89 (define @t109 () (= @t3 @t99)) % 0.61/0.89 (define @t110 () (or @t87 @t109)) % 0.61/0.89 (define @t111 () (= @t2 @t103)) % 0.61/0.89 (define @t112 () (or @t87 @t111)) % 0.61/0.89 (define @t113 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.61/0.89 (define @t114 () (or @t71 @t113)) % 0.61/0.89 (define @t115 () (tptp.c_lessequals @t3 @t99 tptp.t_b)) % 0.61/0.89 (define @t116 () (tptp.c_less @t99 @t3 tptp.t_b)) % 0.61/0.89 (define @t117 () (not @t113)) % 0.61/0.89 (define @t118 () (or @t117 @t116 @t115)) % 0.61/0.89 (define @t119 () (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) % 0.61/0.89 (define @t120 () (or @t71 @t119)) % 0.61/0.89 (define @t121 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.61/0.89 (define @t122 () (not @t119)) % 0.61/0.89 (define @t123 () (or @t122 @t121)) % 0.61/0.89 (define @t124 () (tptp.c_less @t3 @t99 tptp.t_b)) % 0.61/0.89 (define @t125 () (not @t124)) % 0.61/0.89 (define @t126 () (not @t121)) % 0.61/0.89 (define @t127 () (or @t126 @t125 @t115)) % 0.61/0.89 (define @t128 () (and @t109 @t116)) % 0.61/0.89 (define @t129 () (not @t109)) % 0.61/0.89 (define @t130 () (tptp.c_plus @t5 @t2 tptp.t_b)) % 0.61/0.89 (define @t131 () (@list tptp.t_b tptp.c_0 @t5 @t7)) % 0.61/0.89 (define @t132 () (@list tptp.t_b @t4)) % 0.61/0.89 (define @t133 () (or @t71 @t62)) % 0.61/0.89 (define @t134 () (tptp.c_lessequals tptp.c_0 @t5 tptp.t_b)) % 0.61/0.89 (define @t135 () (or @t63 @t134)) % 0.61/0.89 (define @t136 () (tptp.c_lessequals @t7 @t5 tptp.t_b)) % 0.61/0.89 (define @t137 () (not @t136)) % 0.61/0.89 (define @t138 () (not @t134)) % 0.61/0.89 (define @t139 () (or @t117 @t138 @t137 @t8)) % 0.61/0.89 (define @t140 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.61/0.89 (define @t141 () (or @t63 @t140)) % 0.61/0.89 (define @t142 () (tptp.c_lessequals @t6 @t130 tptp.t_b)) % 0.61/0.89 (define @t143 () (not @t142)) % 0.61/0.89 (define @t144 () (not @t140)) % 0.61/0.89 (define @t145 () (or @t144 @t143 @t136)) % 0.61/0.89 (define @t146 () (@list false true false)) % 0.61/0.89 (define @t147 () (tptp.c_lessequals @t6 @t3 tptp.t_b)) % 0.61/0.89 (define @t148 () (not @t147)) % 0.61/0.89 (define @t149 () (tptp.c_lessequals @t3 @t130 tptp.t_b)) % 0.61/0.89 (define @t150 () (not @t149)) % 0.61/0.89 (define @t151 () (or @t126 @t150 @t148 @t142)) % 0.61/0.89 (define @t152 () (tptp.c_uminus @t4 tptp.t_b)) % 0.61/0.89 (define @t153 () (= @t5 (tptp.c_HOL_Oabs @t152 tptp.t_b))) % 0.61/0.89 (define @t154 () (or @t63 @t153)) % 0.61/0.89 (define @t155 () (or @t76 (= @t59 @t4))) % 0.61/0.89 (define @t156 () (= @t4 @t59)) % 0.61/0.89 (define @t157 () (or @t76 @t156)) % 0.61/0.89 (define @t158 () (= @t152 @t57)) % 0.61/0.89 (define @t159 () (or @t76 @t158)) % 0.61/0.89 (define @t160 () (not @t75)) % 0.61/0.89 (define @t161 () (not @t82)) % 0.61/0.89 (define @t162 () (not @t86)) % 0.61/0.89 (define @t163 () (not @t93)) % 0.61/0.89 (define @t164 () (not @t97)) % 0.61/0.89 (define @t165 () (not @t115)) % 0.61/0.89 (define @t166 () (not @t100)) % 0.61/0.89 (define @t167 () (not @t104)) % 0.61/0.89 (define @t168 () (not @t107)) % 0.61/0.89 (define @t169 () (not @t111)) % 0.61/0.89 (define @t170 () (not @t65)) % 0.61/0.89 (define @t171 () (not @t153)) % 0.61/0.89 (define @t172 () (not @t156)) % 0.61/0.89 (define @t173 () (not @t158)) % 0.61/0.89 (define @t174 () (and @t150 @t109 @t100 @t111 @t104 @t153 @t158 @t65 @t156 @t107 @t93 @t97 @t75 @t82 @t86 @t115)) % 0.61/0.89 (define @t175 () (tptp.c_lessequals @t2 @t3 tptp.t_b)) % 0.61/0.89 (define @t176 () (not @t175)) % 0.61/0.89 (define @t177 () (or @t144 @t176 @t60)) % 0.61/0.89 (define @t178 () (@list tptp.t_b @t2 @t6)) % 0.61/0.89 (define @t179 () (tptp.c_lessequals @t7 tptp.c_0 tptp.t_b)) % 0.61/0.89 (define @t180 () (not @t179)) % 0.61/0.89 (define @t181 () (or @t126 @t138 @t180 @t136)) % 0.61/0.89 (define @t182 () (tptp.c_lessequals @t6 @t2 tptp.t_b)) % 0.61/0.89 (define @t183 () (not @t182)) % 0.61/0.89 (define @t184 () (or @t144 @t183 @t179)) % 0.61/0.89 (define @t185 () (tptp.c_less @t2 @t6 tptp.t_b)) % 0.61/0.89 (define @t186 () (or @t117 @t185 @t182)) % 0.61/0.89 (define @t187 () (tptp.c_lessequals @t2 @t6 tptp.t_b)) % 0.61/0.89 (define @t188 () (not @t185)) % 0.61/0.89 (define @t189 () (or @t126 @t188 @t187)) % 0.61/0.89 (define @t190 () (not @t187)) % 0.61/0.89 (define @t191 () (or @t126 @t148 @t190 @t175)) % 0.61/0.89 (define @t192 () (not @t191)) % 0.61/0.89 (assume @p1 (forall (@list @t1) (tptp.c_lessequals (tptp.v_k @t1) (tptp.v_f @t1) tptp.t_b))) % 0.61/0.89 (assume @p2 (not @t8)) % 0.61/0.89 (assume @p3 @t9) % 0.61/0.89 (assume @p4 (forall @t14 (or @t13 (tptp.c_lessequals tptp.c_0 @t12 @t10)))) % 0.61/0.89 (assume @p5 @t18) % 0.61/0.89 (assume @p6 @t19) % 0.61/0.89 (assume @p7 (forall @t24 (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t10)) (not (tptp.c_lessequals @t23 (tptp.c_plus @t20 @t22 @t10) @t10)) @t21))) % 0.61/0.89 (assume @p8 @t29) % 0.61/0.89 (assume @p9 @t33) % 0.61/0.89 (assume @p10 (forall @t32 (or @t31 (= (tptp.c_plus @t34 @t22 @t10) (tptp.c_minus @t23 @t20 @t10))))) % 0.61/0.89 (assume @p11 (forall @t24 (or @t35 (not (tptp.c_lessequals @t11 (tptp.c_plus @t22 @t20 @t10) @t10)) (tptp.c_lessequals @t34 @t22 @t10)))) % 0.61/0.89 (assume @p12 (forall @t36 (or @t35 (not @t21) (tptp.c_lessequals @t34 tptp.c_0 @t10)))) % 0.61/0.89 (assume @p13 @t39) % 0.61/0.89 (assume @p14 @t42) % 0.61/0.89 (assume @p15 @t43) % 0.61/0.89 (assume @p16 (forall (@list @t10 @t25 @t44) (or (not (tptp.class_Orderings_Olinorder @t10)) (tptp.c_less @t25 @t44 @t10) @t45))) % 0.61/0.89 (assume @p17 (forall (@list @t46 @t25 @t47 @t44) (or (not (tptp.class_Orderings_Olinorder @t46)) (not (tptp.c_lessequals @t25 @t47 @t46)) (not (tptp.c_lessequals @t44 @t47 @t46)) (tptp.c_lessequals (tptp.c_Orderings_Omax @t44 @t25 @t46) @t47 @t46)))) % 0.61/0.89 (assume @p18 @t49) % 0.61/0.89 (assume @p19 (forall (@list @t10 @t44 @t25) (or @t48 (not (tptp.c_less @t44 @t25 @t10)) @t45))) % 0.61/0.89 (assume @p20 (forall @t52 (or (not @t51) (tptp.class_Orderings_Oorder @t50)))) % 0.61/0.89 (assume @p21 (forall @t52 (or @t54 (tptp.class_OrderedGroup_Opordered__ab__group__add @t50)))) % 0.61/0.89 (assume @p22 (forall @t52 (or @t54 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t50)))) % 0.61/0.89 (assume @p23 (forall @t52 (or @t55 (tptp.class_OrderedGroup_Ocomm__monoid__add @t50)))) % 0.61/0.89 (assume @p24 (forall @t52 (or @t55 (tptp.class_Orderings_Olinorder @t50)))) % 0.61/0.89 (assume @p25 (forall @t52 (or @t55 @t51))) % 0.61/0.89 (assume @p26 (forall @t52 (or @t55 (tptp.class_OrderedGroup_Oab__group__add @t50)))) % 0.61/0.89 (assume @p27 (forall @t52 (or @t55 @t53))) % 0.61/0.89 (step @p28 :rule instantiate :premises (@p12) :args (@t56)) % 0.61/0.89 (step @p29 :rule eq-symm :args (@t58 @t59)) % 0.61/0.89 (step @p30 :rule refl :args (@t61)) % 0.61/0.89 (step @p31 :rule refl :args (@t63)) % 0.61/0.89 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args (@t64)) % 0.61/0.89 (step @p33 :rule refl :args (@t19)) % 0.61/0.89 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t19 @t64))) % 0.61/0.89 (assume-push @p376 @t19) % 0.61/0.89 (step @p36 :rule instantiate :premises (@p6) :args ((@list tptp.t_b @t57))) % 0.61/0.89 (step-pop @p377 :rule scope :premises (@p36)) % 0.61/0.89 (step @p37 :rule process_scope :premises (@p377) :args (@t64)) % 0.61/0.89 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.61/0.89 (step @p40 :rule implies_elim :premises (@p39)) % 0.61/0.89 (step @p41 :rule chain_m_resolution :premises (@p40 @p6) :args (@t66 @t67 (@list @t19))) % 0.61/0.89 (step @p42 :rule eq-symm :args (@t40 tptp.c_0)) % 0.61/0.89 (step @p43 :rule refl :args (@t31)) % 0.61/0.89 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t41)) % 0.61/0.89 (step @p45 :rule cong :premises (@p44) :args (@t42)) % 0.61/0.89 (step @p46 :rule eq_resolve :premises (@p14 @p45)) % 0.61/0.89 (step @p47 :rule instantiate :premises (@p46) :args (@t68)) % 0.61/0.89 (step @p48 :rule instantiate :premises (@p26) :args (@t69)) % 0.61/0.89 (step @p49 :rule cnf_or_pos :args (@t72)) % 0.61/0.89 (step @p50 :rule reordering :premises (@p49) :args ((or @t71 @t70 (not @t72)))) % 0.61/0.89 (step @p51 :rule chain_m_resolution :premises (@p50 @p3 @p48) :args (@t70 @t73 (@list @t9 @t72))) % 0.61/0.89 (step @p52 :rule cnf_or_pos :args (@t77)) % 0.61/0.89 (step @p53 :rule reordering :premises (@p52) :args ((or @t76 @t75 (not @t77)))) % 0.61/0.89 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47) :args (@t75 @t73 (@list @t70 @t77))) % 0.61/0.89 (step @p55 :rule instantiate :premises (@p10) :args ((@list tptp.t_b @t79 @t78 tptp.c_0))) % 0.61/0.89 (step @p56 :rule cnf_or_pos :args (@t83)) % 0.61/0.89 (step @p57 :rule reordering :premises (@p56) :args ((or @t76 @t82 (not @t83)))) % 0.61/0.89 (step @p58 :rule chain_m_resolution :premises (@p57 @p51 @p55) :args (@t82 @t73 (@list @t70 @t83))) % 0.61/0.89 (step @p59 :rule eq-symm :args (@t26 @t25)) % 0.61/0.89 (step @p60 :rule refl :args (@t27)) % 0.61/0.89 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t28)) % 0.61/0.89 (step @p62 :rule cong :premises (@p61) :args (@t29)) % 0.61/0.89 (step @p63 :rule eq_resolve :premises (@p8 @p62)) % 0.61/0.89 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.t_b tptp.c_0))) % 0.61/0.89 (step @p65 :rule instantiate :premises (@p23) :args (@t69)) % 0.61/0.89 (step @p66 :rule cnf_or_pos :args (@t85)) % 0.61/0.89 (step @p67 :rule reordering :premises (@p66) :args ((or @t71 @t84 (not @t85)))) % 0.61/0.89 (step @p68 :rule chain_m_resolution :premises (@p67 @p3 @p65) :args (@t84 @t73 (@list @t9 @t85))) % 0.61/0.89 (step @p69 :rule cnf_or_pos :args (@t88)) % 0.61/0.89 (step @p70 :rule reordering :premises (@p69) :args ((or @t87 @t86 (not @t88)))) % 0.61/0.89 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p64) :args (@t86 @t73 (@list @t84 @t88))) % 0.61/0.89 (step @p72 :rule eq-symm :args (@t89 @t90)) % 0.61/0.89 (step @p73 :rule refl :args (@t76)) % 0.61/0.89 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t91)) % 0.61/0.89 (step @p75 :rule refl :args (@t33)) % 0.61/0.89 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t33 @t91))) % 0.61/0.89 (assume-push @p378 @t33) % 0.61/0.89 (step @p78 :rule instantiate :premises (@p9) :args (@t92)) % 0.61/0.89 (step-pop @p379 :rule scope :premises (@p78)) % 0.61/0.89 (step @p79 :rule process_scope :premises (@p379) :args (@t91)) % 0.61/0.89 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 0.61/0.89 (step @p82 :rule implies_elim :premises (@p81)) % 0.61/0.89 (step @p83 :rule chain_m_resolution :premises (@p82 @p9) :args (@t94 @t67 (@list @t33))) % 0.61/0.89 (step @p84 :rule cnf_or_pos :args (@t94)) % 0.61/0.89 (step @p85 :rule reordering :premises (@p84) :args ((or @t76 @t93 (not @t94)))) % 0.61/0.89 (step @p86 :rule chain_m_resolution :premises (@p85 @p51 @p83) :args (@t93 @t73 (@list @t70 @t94))) % 0.61/0.89 (step @p87 :rule instantiate :premises (@p9) :args ((@list tptp.t_b tptp.c_0 tptp.c_0 @t78))) % 0.61/0.89 (step @p88 :rule cnf_or_pos :args (@t98)) % 0.61/0.89 (step @p89 :rule reordering :premises (@p88) :args ((or @t76 @t97 (not @t98)))) % 0.61/0.89 (step @p90 :rule chain_m_resolution :premises (@p89 @p51 @p87) :args (@t97 @t73 (@list @t70 @t98))) % 0.61/0.89 (step @p91 :rule eq-symm :args (@t37 @t30)) % 0.61/0.89 (step @p92 :rule nary_cong :premises (@p43 @p91) :args (@t38)) % 0.61/0.89 (step @p93 :rule cong :premises (@p92) :args (@t39)) % 0.61/0.89 (step @p94 :rule eq_resolve :premises (@p13 @p93)) % 0.61/0.89 (step @p95 :rule instantiate :premises (@p94) :args ((@list tptp.t_b tptp.c_0 @t3))) % 0.61/0.89 (step @p96 :rule cnf_or_pos :args (@t101)) % 0.61/0.89 (step @p97 :rule reordering :premises (@p96) :args ((or @t76 @t100 (not @t101)))) % 0.61/0.89 (step @p98 :rule chain_m_resolution :premises (@p97 @p51 @p95) :args (@t100 @t73 (@list @t70 @t101))) % 0.61/0.89 (step @p99 :rule instantiate :premises (@p94) :args ((@list tptp.t_b tptp.c_0 @t2))) % 0.61/0.89 (step @p100 :rule cnf_or_pos :args (@t105)) % 0.61/0.89 (step @p101 :rule reordering :premises (@p100) :args ((or @t76 @t104 (not @t105)))) % 0.61/0.89 (step @p102 :rule chain_m_resolution :premises (@p101 @p51 @p99) :args (@t104 @t73 (@list @t70 @t105))) % 0.61/0.89 (step @p103 :rule instantiate :premises (@p10) :args (@t92)) % 0.61/0.89 (step @p104 :rule cnf_or_pos :args (@t108)) % 0.61/0.89 (step @p105 :rule reordering :premises (@p104) :args ((or @t76 @t107 (not @t108)))) % 0.61/0.89 (step @p106 :rule chain_m_resolution :premises (@p105 @p51 @p103) :args (@t107 @t73 (@list @t70 @t108))) % 0.61/0.89 (step @p107 :rule instantiate :premises (@p63) :args ((@list tptp.t_b @t3))) % 0.61/0.89 (step @p108 :rule cnf_or_pos :args (@t110)) % 0.61/0.89 (step @p109 :rule reordering :premises (@p108) :args ((or @t87 @t109 (not @t110)))) % 0.61/0.89 (step @p110 :rule chain_m_resolution :premises (@p109 @p68 @p107) :args (@t109 @t73 (@list @t84 @t110))) % 0.61/0.89 (step @p111 :rule instantiate :premises (@p63) :args (@t68)) % 0.61/0.89 (step @p112 :rule cnf_or_pos :args (@t112)) % 0.61/0.89 (step @p113 :rule reordering :premises (@p112) :args ((or @t87 @t111 (not @t112)))) % 0.61/0.89 (step @p114 :rule chain_m_resolution :premises (@p113 @p68 @p111) :args (@t111 @t73 (@list @t84 @t112))) % 0.61/0.89 (step @p115 :rule instantiate :premises (@p24) :args (@t69)) % 0.61/0.89 (step @p116 :rule cnf_or_pos :args (@t114)) % 0.61/0.89 (step @p117 :rule reordering :premises (@p116) :args ((or @t71 @t113 (not @t114)))) % 0.61/0.89 (step @p118 :rule chain_m_resolution :premises (@p117 @p3 @p115) :args (@t113 @t73 (@list @t9 @t114))) % 0.61/0.89 (step @p119 :rule instantiate :premises (@p16) :args ((@list tptp.t_b @t99 @t3))) % 0.61/0.89 (step @p120 :rule cnf_or_pos :args (@t118)) % 0.61/0.89 (step @p121 :rule reordering :premises (@p120) :args ((or @t117 @t115 @t116 (not @t118)))) % 0.61/0.89 (step @p122 :rule instantiate :premises (@p20) :args (@t69)) % 0.61/0.89 (step @p123 :rule instantiate :premises (@p25) :args (@t69)) % 0.61/0.89 (step @p124 :rule cnf_or_pos :args (@t120)) % 0.61/0.89 (step @p125 :rule reordering :premises (@p124) :args ((or @t71 @t119 (not @t120)))) % 0.61/0.89 (step @p126 :rule chain_m_resolution :premises (@p125 @p3 @p123) :args (@t119 @t73 (@list @t9 @t120))) % 0.61/0.89 (step @p127 :rule cnf_or_pos :args (@t123)) % 0.61/0.89 (step @p128 :rule reordering :premises (@p127) :args ((or @t121 @t122 (not @t123)))) % 0.61/0.89 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p122) :args (@t121 @t73 (@list @t119 @t123))) % 0.61/0.89 (step @p130 :rule instantiate :premises (@p19) :args ((@list tptp.t_b @t3 @t99))) % 0.61/0.89 (step @p131 :rule cnf_or_pos :args (@t127)) % 0.61/0.89 (step @p132 :rule reordering :premises (@p131) :args ((or @t126 @t115 @t125 (not @t127)))) % 0.61/0.89 (assume-push @p380 @t109) % 0.61/0.89 (assume-push @p381 @t116) % 0.61/0.89 (assume-push @p382 @t116) % 0.61/0.89 (assume-push @p383 @t109) % 0.61/0.89 (step @p137 :rule true_intro :premises (@p381)) % 0.61/0.89 (step @p138 :rule refl :args (tptp.t_b)) % 0.61/0.89 (step @p139 :rule symm :premises (@p110)) % 0.61/0.89 (step @p140 :rule cong :premises (@p110 @p139 @p138) :args (@t124)) % 0.61/0.89 (step @p141 :rule trans :premises (@p140 @p137)) % 0.61/0.89 (step @p142 :rule true_elim :premises (@p141)) % 0.61/0.89 (step-pop @p384 :rule scope :premises (@p142)) % 0.61/0.89 (step-pop @p385 :rule scope :premises (@p384)) % 0.61/0.89 (step @p143 :rule process_scope :premises (@p385) :args (@t124)) % 0.61/0.89 (step @p146 :rule and_intro :premises (@p381 @p110)) % 0.61/0.89 (step @p147 :rule modus_ponens :premises (@p146 @p143)) % 0.61/0.89 (step-pop @p386 :rule scope :premises (@p147)) % 0.61/0.89 (step-pop @p387 :rule scope :premises (@p386)) % 0.61/0.89 (step @p148 :rule process_scope :premises (@p387) :args (@t124)) % 0.61/0.89 (step @p151 :rule implies_elim :premises (@p148)) % 0.61/0.89 (step @p152 :rule cnf_and_neg :args (@t128)) % 0.61/0.89 (step @p153 :rule resolution :premises (@p152 @p151) :args (true @t128)) % 0.61/0.89 (step @p154 :rule reordering :premises (@p153) :args ((or @t129 @t124 (not @t116)))) % 0.61/0.89 (step @p155 :rule chain_m_resolution :premises (@p154 @p110 @p132 @p130 @p129 @p121 @p119 @p118) :args (@t115 (@list false true false false false false false) (@list @t109 @t124 @t127 @t121 @t116 @t118 @t113))) % 0.61/0.89 (step @p156 :rule instantiate :premises (@p18) :args ((@list tptp.t_b @t3 @t130 @t6))) % 0.61/0.89 (step @p157 :rule instantiate :premises (@p11) :args ((@list tptp.t_b @t6 @t5 @t2))) % 0.61/0.89 (step @p158 :rule instantiate :premises (@p17) :args (@t131)) % 0.61/0.89 (step @p159 :rule instantiate :premises (@p4) :args (@t132)) % 0.61/0.89 (step @p160 :rule instantiate :premises (@p27) :args (@t69)) % 0.61/0.89 (step @p161 :rule cnf_or_pos :args (@t133)) % 0.61/0.89 (step @p162 :rule reordering :premises (@p161) :args ((or @t71 @t62 (not @t133)))) % 0.61/0.89 (step @p163 :rule chain_m_resolution :premises (@p162 @p3 @p160) :args (@t62 @t73 (@list @t9 @t133))) % 0.61/0.89 (step @p164 :rule cnf_or_pos :args (@t135)) % 0.61/0.89 (step @p165 :rule reordering :premises (@p164) :args ((or @t63 @t134 (not @t135)))) % 0.61/0.89 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p159) :args (@t134 @t73 (@list @t62 @t135))) % 0.61/0.89 (step @p167 :rule cnf_or_pos :args (@t139)) % 0.61/0.89 (step @p168 :rule reordering :premises (@p167) :args ((or @t8 @t117 @t138 @t137 (not @t139)))) % 0.61/0.89 (step @p169 :rule chain_m_resolution :premises (@p168 @p2 @p118 @p166 @p158) :args (@t137 (@list true false false false) (@list @t8 @t113 @t134 @t139))) % 0.61/0.89 (step @p170 :rule instantiate :premises (@p21) :args (@t69)) % 0.61/0.89 (step @p171 :rule cnf_or_pos :args (@t141)) % 0.61/0.89 (step @p172 :rule reordering :premises (@p171) :args ((or @t63 @t140 (not @t141)))) % 0.61/0.89 (step @p173 :rule chain_m_resolution :premises (@p172 @p163 @p170) :args (@t140 @t73 (@list @t62 @t141))) % 0.61/0.89 (step @p174 :rule cnf_or_pos :args (@t145)) % 0.61/0.89 (step @p175 :rule reordering :premises (@p174) :args ((or @t144 @t136 @t143 (not @t145)))) % 0.61/0.89 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p169 @p157) :args (@t143 @t146 (@list @t140 @t136 @t145))) % 0.61/0.89 (step @p177 :rule instantiate :premises (@p1) :args ((@list tptp.v_x))) % 0.61/0.89 (step @p178 :rule cnf_or_pos :args (@t151)) % 0.61/0.89 (step @p179 :rule reordering :premises (@p178) :args ((or @t126 @t148 @t142 @t150 (not @t151)))) % 0.61/0.89 (step @p180 :rule chain_m_resolution :premises (@p179 @p129 @p177 @p176 @p156) :args (@t150 (@list false false true false) (@list @t121 @t147 @t142 @t151))) % 0.61/0.89 (step @p181 :rule eq-symm :args (@t16 @t12)) % 0.61/0.89 (step @p182 :rule refl :args (@t13)) % 0.61/0.89 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t17)) % 0.61/0.89 (step @p184 :rule cong :premises (@p183) :args (@t18)) % 0.61/0.89 (step @p185 :rule eq_resolve :premises (@p5 @p184)) % 0.61/0.89 (step @p186 :rule instantiate :premises (@p185) :args (@t132)) % 0.61/0.89 (step @p187 :rule cnf_or_pos :args (@t154)) % 0.61/0.89 (step @p188 :rule reordering :premises (@p187) :args ((or @t63 @t153 (not @t154)))) % 0.61/0.89 (step @p189 :rule chain_m_resolution :premises (@p188 @p163 @p186) :args (@t153 @t73 (@list @t62 @t154))) % 0.61/0.89 (step @p190 :rule eq-symm :args (@t59 @t4)) % 0.61/0.89 (step @p191 :rule nary_cong :premises (@p73 @p190) :args (@t155)) % 0.61/0.89 (step @p192 :rule refl :args (@t43)) % 0.61/0.89 (step @p193 :rule cong :premises (@p192 @p191) :args ((=> @t43 @t155))) % 0.61/0.89 (assume-push @p388 @t43) % 0.61/0.89 (step @p195 :rule instantiate :premises (@p15) :args (@t56)) % 0.61/0.89 (step-pop @p389 :rule scope :premises (@p195)) % 0.61/0.89 (step @p196 :rule process_scope :premises (@p389) :args (@t155)) % 0.61/0.89 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 0.61/0.89 (step @p199 :rule implies_elim :premises (@p198)) % 0.61/0.89 (step @p200 :rule chain_m_resolution :premises (@p199 @p15) :args (@t157 @t67 (@list @t43))) % 0.61/0.89 (step @p201 :rule cnf_or_pos :args (@t157)) % 0.61/0.89 (step @p202 :rule reordering :premises (@p201) :args ((or @t76 @t156 (not @t157)))) % 0.61/0.89 (step @p203 :rule chain_m_resolution :premises (@p202 @p51 @p200) :args (@t156 @t73 (@list @t70 @t157))) % 0.61/0.89 (step @p204 :rule instantiate :premises (@p15) :args ((@list tptp.t_b @t3 @t2))) % 0.61/0.89 (step @p205 :rule cnf_or_pos :args (@t159)) % 0.61/0.89 (step @p206 :rule reordering :premises (@p205) :args ((or @t76 @t158 (not @t159)))) % 0.61/0.89 (step @p207 :rule chain_m_resolution :premises (@p206 @p51 @p204) :args (@t158 @t73 (@list @t70 @t159))) % 0.61/0.89 (step @p208 :rule refl :args (@t160)) % 0.61/0.89 (step @p209 :rule refl :args (@t161)) % 0.61/0.89 (step @p210 :rule refl :args (@t162)) % 0.61/0.89 (step @p211 :rule refl :args (@t163)) % 0.61/0.89 (step @p212 :rule refl :args (@t164)) % 0.61/0.89 (step @p213 :rule refl :args (@t165)) % 0.61/0.89 (step @p214 :rule refl :args (@t166)) % 0.61/0.89 (step @p215 :rule refl :args (@t167)) % 0.61/0.89 (step @p216 :rule bool-double-not-elim :args (@t149)) % 0.61/0.89 (step @p217 :rule refl :args (@t168)) % 0.61/0.89 (step @p218 :rule refl :args (@t129)) % 0.61/0.89 (step @p219 :rule refl :args (@t169)) % 0.61/0.89 (step @p220 :rule refl :args (@t170)) % 0.61/0.89 (step @p221 :rule refl :args (@t171)) % 0.61/0.89 (step @p222 :rule refl :args (@t172)) % 0.61/0.89 (step @p223 :rule refl :args (@t173)) % 0.61/0.89 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208) :args ((or @t173 @t172 @t171 @t170 @t169 @t129 @t168 (not @t150) @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t160))) % 0.61/0.89 (assume-push @p390 @t150) % 0.61/0.89 (assume-push @p391 @t109) % 0.61/0.89 (assume-push @p392 @t100) % 0.61/0.89 (assume-push @p393 @t111) % 0.61/0.89 (assume-push @p394 @t104) % 0.61/0.89 (assume-push @p395 @t153) % 0.61/0.89 (assume-push @p396 @t158) % 0.61/0.89 (assume-push @p397 @t65) % 0.61/0.89 (assume-push @p398 @t156) % 0.61/0.89 (assume-push @p399 @t107) % 0.61/0.89 (assume-push @p400 @t93) % 0.61/0.89 (assume-push @p401 @t97) % 0.61/0.89 (assume-push @p402 @t75) % 0.61/0.89 (assume-push @p403 @t82) % 0.61/0.89 (assume-push @p404 @t86) % 0.61/0.89 (assume-push @p405 @t115) % 0.61/0.89 (step @p241 :rule evaluate :args ((= true false))) % 0.61/0.89 (step @p242 :rule false_intro :premises (@p180)) % 0.61/0.89 (step @p138 :rule refl :args (tptp.t_b)) % 0.61/0.89 (step @p243 :rule refl :args (@t130)) % 0.61/0.89 (step @p139 :rule symm :premises (@p110)) % 0.61/0.89 (step @p244 :rule symm :premises (@p98)) % 0.61/0.89 (step @p245 :rule trans :premises (@p244 @p139)) % 0.61/0.89 (step @p246 :rule cong :premises (@p245 @p243 @p138) :args ((tptp.c_lessequals @t95 @t130 tptp.t_b))) % 0.61/0.89 (step @p247 :rule symm :premises (@p114)) % 0.61/0.89 (step @p248 :rule symm :premises (@p102)) % 0.61/0.89 (step @p249 :rule trans :premises (@p248 @p247)) % 0.61/0.89 (step @p250 :rule refl :args (@t5)) % 0.61/0.89 (step @p251 :rule cong :premises (@p250 @p249 @p138) :args ((tptp.c_plus @t5 @t102 tptp.t_b))) % 0.61/0.89 (step @p252 :rule symm :premises (@p249)) % 0.61/0.89 (step @p253 :rule symm :premises (@p189)) % 0.61/0.89 (step @p254 :rule symm :premises (@p207)) % 0.61/0.89 (step @p255 :rule cong :premises (@p254 @p138) :args (@t58)) % 0.61/0.89 (step @p256 :rule trans :premises (@p203 @p397 @p255 @p253)) % 0.61/0.89 (step @p257 :rule cong :premises (@p256 @p252 @p138) :args (@t106)) % 0.61/0.89 (step @p258 :rule symm :premises (@p106)) % 0.61/0.89 (step @p259 :rule symm :premises (@p86)) % 0.61/0.89 (step @p260 :rule refl :args (@t74)) % 0.61/0.89 (step @p261 :rule refl :args (tptp.c_0)) % 0.61/0.89 (step @p262 :rule cong :premises (@p261 @p245 @p138) :args (@t96)) % 0.61/0.89 (step @p263 :rule symm :premises (@p90)) % 0.61/0.89 (step @p264 :rule trans :premises (@p263 @p262 @p139)) % 0.61/0.89 (step @p265 :rule cong :premises (@p264 @p260 @p138) :args ((tptp.c_plus @t80 @t74 tptp.t_b))) % 0.61/0.89 (step @p266 :rule symm :premises (@p264)) % 0.61/0.89 (step @p267 :rule trans :premises (@p245 @p266)) % 0.61/0.89 (step @p268 :rule cong :premises (@p267 @p54 @p138) :args ((tptp.c_plus @t95 tptp.c_0 tptp.t_b))) % 0.61/0.89 (step @p269 :rule symm :premises (@p267)) % 0.61/0.89 (step @p270 :rule cong :premises (@p269 @p261 @p138) :args (@t81)) % 0.61/0.89 (step @p271 :rule symm :premises (@p58)) % 0.61/0.89 (step @p272 :rule refl :args (@t78)) % 0.61/0.89 (step @p273 :rule symm :premises (@p71)) % 0.61/0.89 (step @p274 :rule cong :premises (@p71 @p273 @p138) :args ((tptp.c_plus tptp.c_0 @t79 tptp.t_b))) % 0.61/0.89 (step @p275 :rule cong :premises (@p261 @p71 @p138) :args (@t79)) % 0.61/0.89 (step @p276 :rule trans :premises (@p71 @p275 @p274)) % 0.61/0.89 (step @p277 :rule trans :premises (@p273 @p276)) % 0.61/0.89 (step @p278 :rule cong :premises (@p277 @p272 @p138) :args (@t80)) % 0.61/0.89 (step @p279 :rule symm :premises (@p262)) % 0.61/0.89 (step @p280 :rule trans :premises (@p279 @p90 @p278 @p271 @p270 @p268 @p265 @p259 @p258 @p257 @p251)) % 0.61/0.89 (step @p281 :rule cong :premises (@p98 @p280 @p138) :args ((tptp.c_lessequals @t99 @t99 tptp.t_b))) % 0.61/0.89 (step @p282 :rule refl :args (@t99)) % 0.61/0.89 (step @p283 :rule cong :premises (@p110 @p282 @p138) :args (@t115)) % 0.61/0.89 (step @p284 :rule true_intro :premises (@p405)) % 0.61/0.89 (step @p285 :rule symm :premises (@p284)) % 0.61/0.89 (step @p286 :rule trans :premises (@p285 @p283 @p281 @p246 @p242)) % 0.61/0.89 (step @p287 false :rule eq_resolve :premises (@p286 @p241)) % 0.61/0.89 (step-pop @p406 :rule scope :premises (@p287)) % 0.61/0.89 (step-pop @p407 :rule scope :premises (@p406)) % 0.61/0.89 (step-pop @p408 :rule scope :premises (@p407)) % 0.61/0.89 (step-pop @p409 :rule scope :premises (@p408)) % 0.61/0.89 (step-pop @p410 :rule scope :premises (@p409)) % 0.61/0.89 (step-pop @p411 :rule scope :premises (@p410)) % 0.61/0.89 (step-pop @p412 :rule scope :premises (@p411)) % 0.61/0.89 (step-pop @p413 :rule scope :premises (@p412)) % 0.61/0.89 (step-pop @p414 :rule scope :premises (@p413)) % 0.61/0.89 (step-pop @p415 :rule scope :premises (@p414)) % 0.61/0.89 (step-pop @p416 :rule scope :premises (@p415)) % 0.61/0.89 (step-pop @p417 :rule scope :premises (@p416)) % 0.61/0.89 (step-pop @p418 :rule scope :premises (@p417)) % 0.61/0.89 (step-pop @p419 :rule scope :premises (@p418)) % 0.61/0.89 (step-pop @p420 :rule scope :premises (@p419)) % 0.61/0.89 (step-pop @p421 :rule scope :premises (@p420)) % 0.61/0.89 (step @p288 :rule process_scope :premises (@p421) :args (false)) % 0.61/0.89 (assume-push @p422 @t158) % 0.61/0.89 (assume-push @p423 @t156) % 0.61/0.89 (assume-push @p424 @t153) % 0.61/0.89 (assume-push @p425 @t65) % 0.61/0.89 (assume-push @p426 @t111) % 0.61/0.89 (assume-push @p427 @t109) % 0.61/0.89 (assume-push @p428 @t107) % 0.61/0.89 (assume-push @p429 @t150) % 0.61/0.89 (assume-push @p430 @t104) % 0.61/0.89 (assume-push @p431 @t100) % 0.61/0.89 (assume-push @p432 @t115) % 0.61/0.89 (assume-push @p433 @t97) % 0.61/0.89 (assume-push @p434 @t93) % 0.61/0.89 (assume-push @p435 @t86) % 0.61/0.89 (assume-push @p436 @t82) % 0.61/0.89 (assume-push @p437 @t75) % 0.61/0.89 (step @p321 :rule and_intro :premises (@p180 @p110 @p98 @p114 @p102 @p189 @p207 @p425 @p203 @p106 @p86 @p90 @p54 @p58 @p71 @p432)) % 0.61/0.89 (step-pop @p438 :rule scope :premises (@p321)) % 0.61/0.89 (step-pop @p439 :rule scope :premises (@p438)) % 0.61/0.89 (step-pop @p440 :rule scope :premises (@p439)) % 0.61/0.89 (step-pop @p441 :rule scope :premises (@p440)) % 0.61/0.89 (step-pop @p442 :rule scope :premises (@p441)) % 0.61/0.89 (step-pop @p443 :rule scope :premises (@p442)) % 0.61/0.89 (step-pop @p444 :rule scope :premises (@p443)) % 0.61/0.89 (step-pop @p445 :rule scope :premises (@p444)) % 0.61/0.89 (step-pop @p446 :rule scope :premises (@p445)) % 0.61/0.89 (step-pop @p447 :rule scope :premises (@p446)) % 0.61/0.89 (step-pop @p448 :rule scope :premises (@p447)) % 0.61/0.89 (step-pop @p449 :rule scope :premises (@p448)) % 0.61/0.89 (step-pop @p450 :rule scope :premises (@p449)) % 0.61/0.89 (step-pop @p451 :rule scope :premises (@p450)) % 0.61/0.89 (step-pop @p452 :rule scope :premises (@p451)) % 0.61/0.89 (step-pop @p453 :rule scope :premises (@p452)) % 0.61/0.89 (step @p322 :rule process_scope :premises (@p453) :args (@t174)) % 0.61/0.89 (step @p339 :rule implies_elim :premises (@p322)) % 0.61/0.89 (step @p340 :rule resolution :premises (@p339 @p288) :args (true @t174)) % 0.61/0.89 (step @p341 :rule not_and :premises (@p340)) % 0.61/0.89 (step @p342 :rule eq_resolve :premises (@p341 @p224)) % 0.61/0.89 (step @p343 :rule reordering :premises (@p342) :args ((or @t173 @t172 @t171 @t170 @t149 @t165 @t169 @t129 @t168 @t167 @t166 @t164 @t163 @t162 @t161 @t160))) % 0.61/0.89 (step @p344 :rule chain_m_resolution :premises (@p343 @p207 @p203 @p189 @p180 @p155 @p114 @p110 @p106 @p102 @p98 @p90 @p86 @p71 @p58 @p54) :args (@t170 (@list false false false true false false false false false false false false false false false) (@list @t158 @t156 @t153 @t149 @t115 @t111 @t109 @t107 @t104 @t100 @t97 @t93 @t86 @t82 @t75))) % 0.61/0.89 (step @p345 :rule cnf_or_pos :args (@t66)) % 0.61/0.89 (step @p346 :rule reordering :premises (@p345) :args ((or @t63 @t61 @t65 (not @t66)))) % 0.61/0.89 (step @p347 :rule chain_m_resolution :premises (@p346 @p163 @p344 @p41) :args (@t61 @t146 (@list @t62 @t65 @t66))) % 0.61/0.89 (step @p348 :rule cnf_or_pos :args (@t177)) % 0.61/0.89 (step @p349 :rule reordering :premises (@p348) :args ((or @t144 @t60 @t176 (not @t177)))) % 0.61/0.89 (step @p350 :rule chain_m_resolution :premises (@p349 @p173 @p347 @p28) :args (@t176 @t146 (@list @t140 @t60 @t177))) % 0.61/0.89 (step @p351 :rule instantiate :premises (@p19) :args (@t178)) % 0.61/0.89 (step @p352 :rule instantiate :premises (@p16) :args (@t178)) % 0.61/0.89 (step @p353 :rule instantiate :premises (@p12) :args ((@list tptp.t_b @t6 @t2))) % 0.61/0.89 (step @p354 :rule instantiate :premises (@p18) :args (@t131)) % 0.61/0.89 (step @p355 :rule cnf_or_pos :args (@t181)) % 0.61/0.89 (step @p356 :rule reordering :premises (@p355) :args ((or @t138 @t136 @t126 @t180 (not @t181)))) % 0.61/0.89 (step @p357 :rule chain_m_resolution :premises (@p356 @p166 @p169 @p129 @p354) :args (@t180 (@list false true false false) (@list @t134 @t136 @t121 @t181))) % 0.61/0.89 (step @p358 :rule cnf_or_pos :args (@t184)) % 0.61/0.89 (step @p359 :rule reordering :premises (@p358) :args ((or @t144 @t183 @t179 (not @t184)))) % 0.61/0.89 (step @p360 :rule chain_m_resolution :premises (@p359 @p173 @p357 @p353) :args (@t183 @t146 (@list @t140 @t179 @t184))) % 0.61/0.89 (step @p361 :rule cnf_or_pos :args (@t186)) % 0.61/0.89 (step @p362 :rule reordering :premises (@p361) :args ((or @t182 @t117 @t185 (not @t186)))) % 0.61/0.89 (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p118 @p352) :args (@t185 (@list true false false) (@list @t182 @t113 @t186))) % 0.61/0.89 (step @p364 :rule cnf_or_pos :args (@t189)) % 0.61/0.89 (step @p365 :rule reordering :premises (@p364) :args ((or @t126 @t188 @t187 (not @t189)))) % 0.61/0.89 (step @p366 :rule chain_m_resolution :premises (@p365 @p129 @p363 @p351) :args (@t187 (@list false false false) (@list @t121 @t185 @t189))) % 0.61/0.89 (step @p367 :rule cnf_or_pos :args (@t191)) % 0.61/0.89 (step @p368 :rule reordering :premises (@p367) :args ((or @t126 @t148 @t190 @t175 @t192))) % 0.61/0.89 (step @p369 :rule chain_m_resolution :premises (@p368 @p129 @p177 @p366 @p350) :args (@t192 (@list false false false true) (@list @t121 @t147 @t187 @t175))) % 0.61/0.89 (assume-push @p454 @t49) % 0.61/0.89 (step @p371 :rule instantiate :premises (@p18) :args ((@list tptp.t_b @t6 @t3 @t2))) % 0.61/0.89 (step-pop @p455 :rule scope :premises (@p371)) % 0.61/0.89 (step @p372 :rule process_scope :premises (@p455) :args (@t191)) % 0.61/0.89 (step @p374 :rule implies_elim :premises (@p372)) % 0.61/0.89 (step @p375 false :rule chain_m_resolution :premises (@p374 @p369 @p18) :args (false (@list true false) (@list @t191 @t49))) % 0.61/0.89 ) % 0.61/0.89 % SZS output end Proof % 0.61/0.90 % cvc5 exiting %------------------------------------------------------------------------------