%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW615_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:21 AM UTC 2026 % Result : Theorem 45.94s 46.24s % Output : Proof 45.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW615_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 22:19:03 EDT 2026 % 0.07/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_ARI % 45.94/46.24 --- Run --finite-model-find --decision=internal at 45... % 45.94/46.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.94/46.24 % SZS status Theorem % 45.94/46.24 % SZS output start Proof % 45.94/46.24 ( % 45.94/46.24 (declare-sort tptp.map_loc_loc 0) % 45.94/46.24 (declare-sort tptp.list_loc 0) % 45.94/46.24 (declare-sort tptp.tuple0 0) % 45.94/46.24 (declare-sort tptp.bool 0) % 45.94/46.24 (declare-sort tptp.loc 0) % 45.94/46.24 (declare-sort tptp.ty 0) % 45.94/46.24 (declare-sort tptp.uni 0) % 45.94/46.24 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.null tptp.loc) % 45.94/46.24 (declare-const tptp.t2tb2 (-> tptp.loc tptp.uni)) % 45.94/46.24 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_loc_loc)) % 45.94/46.24 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.tb2t2 (-> tptp.uni tptp.loc)) % 45.94/46.24 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 45.94/46.24 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 45.94/46.24 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 45.94/46.24 (declare-const tptp.true tptp.bool) % 45.94/46.24 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 45.94/46.24 (declare-const tptp.list_seg (-> tptp.loc tptp.map_loc_loc tptp.list_loc tptp.loc Bool)) % 45.94/46.24 (declare-const tptp.loc1 tptp.ty) % 45.94/46.24 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.no_repet (-> tptp.ty tptp.uni Bool)) % 45.94/46.24 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 45.94/46.24 (declare-const tptp.false tptp.bool) % 45.94/46.24 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 45.94/46.24 (declare-const tptp.t2tb (-> tptp.list_loc tptp.uni)) % 45.94/46.24 (declare-const tptp.t2tb1 (-> tptp.map_loc_loc tptp.uni)) % 45.94/46.24 (declare-const tptp.tuple02 tptp.tuple0) % 45.94/46.24 (declare-const tptp.tail (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.94/46.24 (declare-const tptp.disjoint (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.94/46.24 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 45.94/46.24 (declare-const tptp.reverse (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.head (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.94/46.24 (declare-const tptp.tb2t (-> tptp.uni tptp.list_loc)) % 45.94/46.24 (define @t1 () (@var "A" tptp.ty)) % 45.94/46.24 (define @t2 () (@list @t1)) % 45.94/46.24 (define @t3 () (@var "X2" tptp.uni)) % 45.94/46.24 (define @t4 () (@var "X1" tptp.uni)) % 45.94/46.24 (define @t5 () (@var "X" tptp.bool)) % 45.94/46.24 (define @t6 () (@var "Z" tptp.uni)) % 45.94/46.24 (define @t7 () (@var "Z1" tptp.uni)) % 45.94/46.24 (define @t8 () (@list @t1 @t6 @t7)) % 45.94/46.24 (define @t9 () (@var "U" tptp.bool)) % 45.94/46.24 (define @t10 () (@var "U" tptp.tuple0)) % 45.94/46.24 (define @t11 () (@var "Z" Int)) % 45.94/46.24 (define @t12 () (@var "Y" Int)) % 45.94/46.24 (define @t13 () (@var "X" Int)) % 45.94/46.24 (define @t14 () (tptp.nil @t1)) % 45.94/46.24 (define @t15 () (tptp.list @t1)) % 45.94/46.24 (define @t16 () (@var "X" tptp.uni)) % 45.94/46.24 (define @t17 () (tptp.cons @t1 @t16 @t4)) % 45.94/46.24 (define @t18 () (@list @t1 @t16 @t4)) % 45.94/46.24 (define @t19 () (@var "A1" tptp.ty)) % 45.94/46.24 (define @t20 () (@var "U1" tptp.uni)) % 45.94/46.24 (define @t21 () (@var "U" tptp.uni)) % 45.94/46.24 (define @t22 () (tptp.cons @t1 @t21 @t20)) % 45.94/46.24 (define @t23 () (@var "V1" tptp.uni)) % 45.94/46.24 (define @t24 () (@var "V" tptp.uni)) % 45.94/46.24 (define @t25 () (@list @t1 @t16)) % 45.94/46.24 (define @t26 () (tptp.sort @t1 @t21)) % 45.94/46.24 (define @t27 () (@list @t1 @t21 @t20)) % 45.94/46.24 (define @t28 () (tptp.cons_proj_2 @t1 @t22)) % 45.94/46.24 (define @t29 () (forall @t27 (= @t28 @t20))) % 45.94/46.24 (define @t30 () (@list @t1 @t21)) % 45.94/46.24 (define @t31 () (@var "L" tptp.uni)) % 45.94/46.24 (define @t32 () (tptp.cons @t1 @t16 @t31)) % 45.94/46.24 (define @t33 () (tptp.sort @t1 @t16)) % 45.94/46.24 (define @t34 () (@list @t1 @t16 @t31)) % 45.94/46.24 (define @t35 () (tptp.tail @t1 @t32)) % 45.94/46.24 (define @t36 () (forall @t34 (= @t35 @t31))) % 45.94/46.24 (define @t37 () (@var "L2" tptp.uni)) % 45.94/46.24 (define @t38 () (@var "L1" tptp.uni)) % 45.94/46.24 (define @t39 () (tptp.disjoint @t1 @t38 @t37)) % 45.94/46.24 (define @t40 () (tptp.mem @t1 @t16 @t37)) % 45.94/46.24 (define @t41 () (tptp.mem @t1 @t16 @t38)) % 45.94/46.24 (define @t42 () (not (and @t41 @t40))) % 45.94/46.24 (define @t43 () (@list @t16)) % 45.94/46.24 (define @t44 () (@list @t1 @t38 @t37)) % 45.94/46.24 (define @t45 () (@list @t16 @t4)) % 45.94/46.24 (define @t46 () (@var "L3" tptp.uni)) % 45.94/46.24 (define @t47 () (tptp.infix_plpl @t1 @t38 @t37)) % 45.94/46.24 (define @t48 () (@list @t1 @t31)) % 45.94/46.24 (define @t49 () (tptp.length @t1 @t31)) % 45.94/46.24 (define @t50 () (tptp.cons @t1 @t16 @t37)) % 45.94/46.24 (define @t51 () (tptp.mem @t1 @t16 @t31)) % 45.94/46.24 (define @t52 () (tptp.cons @t1 @t16 @t14)) % 45.94/46.24 (define @t53 () (tptp.reverse @t1 @t31)) % 45.94/46.24 (define @t54 () (@list @t1 @t31 @t16)) % 45.94/46.24 (define @t55 () (@var "B" tptp.ty)) % 45.94/46.24 (define @t56 () (tptp.map @t1 @t55)) % 45.94/46.24 (define @t57 () (@var "B1" tptp.uni)) % 45.94/46.24 (define @t58 () (@var "A2" tptp.uni)) % 45.94/46.24 (define @t59 () (@var "A1" tptp.uni)) % 45.94/46.24 (define @t60 () (@var "M" tptp.uni)) % 45.94/46.24 (define @t61 () (tptp.get @t55 @t1 (tptp.set @t55 @t1 @t60 @t59 @t57) @t58)) % 45.94/46.24 (define @t62 () (= @t59 @t58)) % 45.94/46.24 (define @t63 () (tptp.sort @t55 @t57)) % 45.94/46.24 (define @t64 () (@var "X" tptp.list_loc)) % 45.94/46.24 (define @t65 () (@var "I" tptp.list_loc)) % 45.94/46.24 (define @t66 () (tptp.tb2t (tptp.t2tb @t65))) % 45.94/46.24 (define @t67 () (forall (@list @t65) (= @t66 @t65))) % 45.94/46.24 (define @t68 () (@var "J" tptp.uni)) % 45.94/46.24 (define @t69 () (tptp.t2tb (tptp.tb2t @t68))) % 45.94/46.24 (define @t70 () (@list @t68)) % 45.94/46.24 (define @t71 () (forall @t70 (= @t69 @t68))) % 45.94/46.24 (define @t72 () (@var "P" tptp.loc)) % 45.94/46.24 (define @t73 () (tptp.nil tptp.loc1)) % 45.94/46.24 (define @t74 () (tptp.tb2t @t73)) % 45.94/46.24 (define @t75 () (@var "Next" tptp.map_loc_loc)) % 45.94/46.24 (define @t76 () (@list @t72 @t75)) % 45.94/46.24 (define @t77 () (@var "X" tptp.map_loc_loc)) % 45.94/46.24 (define @t78 () (tptp.map tptp.loc1 tptp.loc1)) % 45.94/46.24 (define @t79 () (@var "I" tptp.map_loc_loc)) % 45.94/46.24 (define @t80 () (@var "X" tptp.loc)) % 45.94/46.24 (define @t81 () (tptp.t2tb2 @t80)) % 45.94/46.24 (define @t82 () (@var "I" tptp.loc)) % 45.94/46.24 (define @t83 () (@var "Q" tptp.loc)) % 45.94/46.24 (define @t84 () (@var "L" tptp.list_loc)) % 45.94/46.24 (define @t85 () (tptp.t2tb @t84)) % 45.94/46.24 (define @t86 () (tptp.t2tb2 @t72)) % 45.94/46.24 (define @t87 () (tptp.tb2t (tptp.cons tptp.loc1 @t86 @t85))) % 45.94/46.24 (define @t88 () (tptp.t2tb1 @t75)) % 45.94/46.24 (define @t89 () (tptp.list_seg (tptp.tb2t2 (tptp.get tptp.loc1 tptp.loc1 @t88 @t86)) @t75 @t84 @t83)) % 45.94/46.24 (define @t90 () (not (= @t72 tptp.null))) % 45.94/46.24 (define @t91 () (@list @t72 @t83 @t75 @t84)) % 45.94/46.24 (define @t92 () (@var "Z3" tptp.loc)) % 45.94/46.24 (define @t93 () (@var "Z2" tptp.list_loc)) % 45.94/46.24 (define @t94 () (@var "Z1" tptp.map_loc_loc)) % 45.94/46.24 (define @t95 () (= @t94 @t75)) % 45.94/46.24 (define @t96 () (@var "Z" tptp.loc)) % 45.94/46.24 (define @t97 () (= @t96 @t72)) % 45.94/46.24 (define @t98 () (and @t90 @t89 @t97 @t95 (= @t93 @t87) (= @t92 @t83))) % 45.94/46.24 (define @t99 () (exists @t91 @t98)) % 45.94/46.24 (define @t100 () (and @t97 @t95 (= @t93 @t74) (= @t92 @t72))) % 45.94/46.24 (define @t101 () (exists @t76 @t100)) % 45.94/46.24 (define @t102 () (or @t101 @t99)) % 45.94/46.24 (define @t103 () (tptp.list_seg @t96 @t94 @t93 @t92)) % 45.94/46.24 (define @t104 () (=> @t103 @t102)) % 45.94/46.24 (define @t105 () (@list @t96 @t94 @t93 @t92)) % 45.94/46.24 (define @t106 () (forall @t105 @t104)) % 45.94/46.24 (define @t107 () (@var "PM" tptp.list_loc)) % 45.94/46.24 (define @t108 () (@var "Next2" tptp.map_loc_loc)) % 45.94/46.24 (define @t109 () (tptp.t2tb @t107)) % 45.94/46.24 (define @t110 () (tptp.t2tb2 @t83)) % 45.94/46.24 (define @t111 () (@var "V" tptp.loc)) % 45.94/46.24 (define @t112 () (@var "Next1" tptp.map_loc_loc)) % 45.94/46.24 (define @t113 () (tptp.t2tb1 @t112)) % 45.94/46.24 (define @t114 () (tptp.list_seg @t72 @t112 @t107 tptp.null)) % 45.94/46.24 (define @t115 () (@var "L2" tptp.list_loc)) % 45.94/46.24 (define @t116 () (@var "L1" tptp.list_loc)) % 45.94/46.24 (define @t117 () (tptp.cons tptp.loc1 @t110 (tptp.t2tb @t115))) % 45.94/46.24 (define @t118 () (tptp.ref @t1)) % 45.94/46.24 (define @t119 () (@var "PM1" tptp.list_loc)) % 45.94/46.24 (define @t120 () (@var "X1" tptp.list_loc)) % 45.94/46.24 (define @t121 () (= @t107 (tptp.tb2t (tptp.cons tptp.loc1 @t81 (tptp.t2tb @t120))))) % 45.94/46.24 (define @t122 () (=> @t121 (= @t120 @t119))) % 45.94/46.24 (define @t123 () (@list @t80 @t120)) % 45.94/46.24 (define @t124 () (forall @t123 @t122)) % 45.94/46.24 (define @t125 () (not (= @t107 @t74))) % 45.94/46.24 (define @t126 () (and @t125 @t124)) % 45.94/46.24 (define @t127 () (tptp.tb2t (tptp.tail tptp.loc1 @t109))) % 45.94/46.24 (define @t128 () (= @t119 @t127)) % 45.94/46.24 (define @t129 () (=> @t128 @t126)) % 45.94/46.24 (define @t130 () (@list @t119)) % 45.94/46.24 (define @t131 () (forall @t130 @t129)) % 45.94/46.24 (define @t132 () (@var "RM" tptp.list_loc)) % 45.94/46.24 (define @t133 () (tptp.t2tb @t132)) % 45.94/46.24 (define @t134 () (tptp.tb2t (tptp.cons tptp.loc1 (tptp.head tptp.loc1 @t109) @t133))) % 45.94/46.24 (define @t135 () (@var "RM1" tptp.list_loc)) % 45.94/46.24 (define @t136 () (= @t135 @t134)) % 45.94/46.24 (define @t137 () (=> @t136 @t131)) % 45.94/46.24 (define @t138 () (@list @t135)) % 45.94/46.24 (define @t139 () (forall @t138 @t137)) % 45.94/46.24 (define @t140 () (tptp.tb2t2 (tptp.get tptp.loc1 tptp.loc1 @t113 @t86))) % 45.94/46.24 (define @t141 () (@var "P1" tptp.loc)) % 45.94/46.24 (define @t142 () (= @t141 @t140)) % 45.94/46.24 (define @t143 () (=> @t142 @t139)) % 45.94/46.24 (define @t144 () (@list @t141)) % 45.94/46.24 (define @t145 () (forall @t144 @t143)) % 45.94/46.24 (define @t146 () (@var "R1" tptp.loc)) % 45.94/46.24 (define @t147 () (= @t146 @t72)) % 45.94/46.24 (define @t148 () (=> @t147 @t145)) % 45.94/46.24 (define @t149 () (@list @t146)) % 45.94/46.24 (define @t150 () (forall @t149 @t148)) % 45.94/46.24 (define @t151 () (@var "R" tptp.loc)) % 45.94/46.24 (define @t152 () (tptp.list_seg @t151 @t108 @t132 tptp.null)) % 45.94/46.24 (define @t153 () (=> @t152 @t150)) % 45.94/46.24 (define @t154 () (tptp.tb2t1 (tptp.set tptp.loc1 tptp.loc1 @t113 @t86 (tptp.t2tb2 @t151)))) % 45.94/46.24 (define @t155 () (= @t108 @t154)) % 45.94/46.24 (define @t156 () (=> @t155 @t153)) % 45.94/46.24 (define @t157 () (@list @t108)) % 45.94/46.24 (define @t158 () (forall @t157 @t156)) % 45.94/46.24 (define @t159 () (=> @t90 @t158)) % 45.94/46.24 (define @t160 () (@var "LM" tptp.list_loc)) % 45.94/46.24 (define @t161 () (tptp.tb2t (tptp.reverse tptp.loc1 (tptp.t2tb @t160)))) % 45.94/46.24 (define @t162 () (= (tptp.tb2t (tptp.infix_plpl tptp.loc1 (tptp.reverse tptp.loc1 @t109) @t133)) @t161)) % 45.94/46.24 (define @t163 () (tptp.disjoint tptp.loc1 @t109 @t133)) % 45.94/46.24 (define @t164 () (tptp.list_seg @t151 @t112 @t132 tptp.null)) % 45.94/46.24 (define @t165 () (and @t114 @t164 @t163 @t162)) % 45.94/46.24 (define @t166 () (=> @t165 @t159)) % 45.94/46.24 (define @t167 () (@list @t132 @t151 @t107 @t72 @t112)) % 45.94/46.24 (define @t168 () (forall @t167 @t166)) % 45.94/46.24 (define @t169 () (@var "L" tptp.loc)) % 45.94/46.24 (define @t170 () (tptp.list_seg @t169 @t75 @t160 tptp.null)) % 45.94/46.24 (define @t171 () (=> @t170 @t168)) % 45.94/46.24 (define @t172 () (@list @t169 @t160 @t75)) % 45.94/46.24 (define @t173 () (forall @t172 @t171)) % 45.94/46.24 (define @t174 () (not @t173)) % 45.94/46.24 (define @t175 () (tptp.t2tb2 @t96)) % 45.94/46.24 (define @t176 () (tptp.tb2t (tptp.cons tptp.loc1 @t175 @t85))) % 45.94/46.24 (define @t177 () (not (= @t93 @t176))) % 45.94/46.24 (define @t178 () (tptp.tb2t2 (tptp.get tptp.loc1 tptp.loc1 (tptp.t2tb1 @t94) @t175))) % 45.94/46.24 (define @t179 () (not (tptp.list_seg @t178 @t94 @t84 @t92))) % 45.94/46.24 (define @t180 () (or @t179 @t177)) % 45.94/46.24 (define @t181 () (@list @t84)) % 45.94/46.24 (define @t182 () (forall @t181 @t180)) % 45.94/46.24 (define @t183 () (= tptp.null @t96)) % 45.94/46.24 (define @t184 () (and (not @t183) (not @t182))) % 45.94/46.24 (define @t185 () (= @t96 @t92)) % 45.94/46.24 (define @t186 () (= @t74 @t93)) % 45.94/46.24 (define @t187 () (and @t186 @t185)) % 45.94/46.24 (define @t188 () (not @t103)) % 45.94/46.24 (define @t189 () (or @t188 @t187 @t184)) % 45.94/46.24 (define @t190 () (not @t185)) % 45.94/46.24 (define @t191 () (not @t186)) % 45.94/46.24 (define @t192 () (or @t191 @t190)) % 45.94/46.24 (define @t193 () (or (not @t192) (not (or @t183 @t182)))) % 45.94/46.24 (define @t194 () (not (= @t92 @t92))) % 45.94/46.24 (define @t195 () (or @t179 @t177 @t194)) % 45.94/46.24 (define @t196 () (= @t83 @t92)) % 45.94/46.24 (define @t197 () (not @t196)) % 45.94/46.24 (define @t198 () (not (tptp.list_seg @t178 @t94 @t84 @t83))) % 45.94/46.24 (define @t199 () (or @t197 @t198 @t177 @t197)) % 45.94/46.24 (define @t200 () (@list @t83)) % 45.94/46.24 (define @t201 () (or @t198 @t177 @t197)) % 45.94/46.24 (define @t202 () (forall @t200 @t201)) % 45.94/46.24 (define @t203 () (forall @t181 @t202)) % 45.94/46.24 (define @t204 () (forall (@list @t84 @t83) @t201)) % 45.94/46.24 (define @t205 () (@list @t83 @t84)) % 45.94/46.24 (define @t206 () (not (= @t94 @t94))) % 45.94/46.24 (define @t207 () (or @t198 @t206 @t177 @t197)) % 45.94/46.24 (define @t208 () (= @t75 @t94)) % 45.94/46.24 (define @t209 () (not @t208)) % 45.94/46.24 (define @t210 () (not (tptp.list_seg (tptp.tb2t2 (tptp.get tptp.loc1 tptp.loc1 @t88 @t175)) @t75 @t84 @t83))) % 45.94/46.24 (define @t211 () (or @t209 @t210 @t209 @t177 @t197)) % 45.94/46.24 (define @t212 () (@list @t75)) % 45.94/46.24 (define @t213 () (or @t210 @t209 @t177 @t197)) % 45.94/46.24 (define @t214 () (forall @t212 @t213)) % 45.94/46.24 (define @t215 () (forall @t205 @t214)) % 45.94/46.24 (define @t216 () (forall (@list @t83 @t84 @t75) @t213)) % 45.94/46.24 (define @t217 () (@list @t83 @t75 @t84)) % 45.94/46.24 (define @t218 () (forall @t217 @t213)) % 45.94/46.24 (define @t219 () (or @t183 @t218)) % 45.94/46.24 (define @t220 () (or @t183 @t213)) % 45.94/46.24 (define @t221 () (or @t183 @t210 @t209 @t177 @t197)) % 45.94/46.24 (define @t222 () (not (= @t176 @t93))) % 45.94/46.24 (define @t223 () (not (= @t96 @t96))) % 45.94/46.24 (define @t224 () (or @t183 @t210 @t223 @t209 @t222 @t197)) % 45.94/46.24 (define @t225 () (= @t87 @t93)) % 45.94/46.24 (define @t226 () (not @t225)) % 45.94/46.24 (define @t227 () (= @t72 @t96)) % 45.94/46.24 (define @t228 () (not @t227)) % 45.94/46.24 (define @t229 () (not @t89)) % 45.94/46.24 (define @t230 () (= tptp.null @t72)) % 45.94/46.24 (define @t231 () (or @t228 @t230 @t229 @t228 @t209 @t226 @t197)) % 45.94/46.24 (define @t232 () (@list @t72)) % 45.94/46.24 (define @t233 () (or @t230 @t229 @t228 @t209 @t226 @t197)) % 45.94/46.24 (define @t234 () (forall @t232 @t233)) % 45.94/46.24 (define @t235 () (forall @t217 @t234)) % 45.94/46.24 (define @t236 () (forall (@list @t83 @t75 @t84 @t72) @t233)) % 45.94/46.24 (define @t237 () (not @t230)) % 45.94/46.24 (define @t238 () (not @t237)) % 45.94/46.24 (define @t239 () (or @t238 @t229 @t228 @t209 @t226 @t197)) % 45.94/46.24 (define @t240 () (and @t237 @t89 @t227 @t208 @t225 @t196)) % 45.94/46.24 (define @t241 () (forall @t91 (not @t240))) % 45.94/46.24 (define @t242 () (not @t241)) % 45.94/46.24 (define @t243 () (or @t209 @t209)) % 45.94/46.24 (define @t244 () (forall @t212 @t209)) % 45.94/46.24 (define @t245 () (or @t223 @t190)) % 45.94/46.24 (define @t246 () (= @t72 @t92)) % 45.94/46.24 (define @t247 () (not @t246)) % 45.94/46.24 (define @t248 () (or @t228 @t228 @t247)) % 45.94/46.24 (define @t249 () (or @t228 @t247)) % 45.94/46.24 (define @t250 () (forall @t232 @t249)) % 45.94/46.24 (define @t251 () (or @t191 @t250 @t244)) % 45.94/46.24 (define @t252 () (or @t191 @t249 @t209)) % 45.94/46.24 (define @t253 () (or @t228 @t209 @t191 @t247)) % 45.94/46.24 (define @t254 () (and @t227 @t208 @t186 @t246)) % 45.94/46.24 (define @t255 () (forall @t76 (not @t254))) % 45.94/46.24 (define @t256 () (not @t255)) % 45.94/46.24 (define @t257 () (@var "BOUND_VARIABLE_8698" tptp.list_loc)) % 45.94/46.24 (define @t258 () (@var "BOUND_VARIABLE_8700" tptp.loc)) % 45.94/46.24 (define @t259 () (@var "BOUND_VARIABLE_8704" tptp.loc)) % 45.94/46.24 (define @t260 () (@var "BOUND_VARIABLE_8706" tptp.map_loc_loc)) % 45.94/46.24 (define @t261 () (not (tptp.list_seg @t258 (tptp.tb2t1 (tptp.set tptp.loc1 tptp.loc1 (tptp.t2tb1 @t260) (tptp.t2tb2 @t259) (tptp.t2tb2 @t258))) @t257 tptp.null))) % 45.94/46.24 (define @t262 () (@var "BOUND_VARIABLE_8702" tptp.list_loc)) % 45.94/46.24 (define @t263 () (tptp.t2tb @t262)) % 45.94/46.24 (define @t264 () (tptp.tb2t (tptp.tail tptp.loc1 @t263))) % 45.94/46.24 (define @t265 () (@var "BOUND_VARIABLE_8710" tptp.list_loc)) % 45.94/46.24 (define @t266 () (@var "BOUND_VARIABLE_8708" tptp.loc)) % 45.94/46.24 (define @t267 () (not (= @t262 (tptp.tb2t (tptp.cons tptp.loc1 (tptp.t2tb2 @t266) (tptp.t2tb @t265)))))) % 45.94/46.24 (define @t268 () (not (= @t74 @t262))) % 45.94/46.24 (define @t269 () (= tptp.null @t259)) % 45.94/46.24 (define @t270 () (tptp.t2tb @t257)) % 45.94/46.24 (define @t271 () (tptp.tb2t (tptp.infix_plpl tptp.loc1 (tptp.reverse tptp.loc1 @t263) @t270))) % 45.94/46.24 (define @t272 () (not (tptp.disjoint tptp.loc1 @t263 @t270))) % 45.94/46.24 (define @t273 () (not (tptp.list_seg @t258 @t260 @t257 tptp.null))) % 45.94/46.24 (define @t274 () (not (tptp.list_seg @t259 @t260 @t262 tptp.null))) % 45.94/46.24 (define @t275 () (not @t170)) % 45.94/46.24 (define @t276 () (@list @t169 @t160 @t75 @t257 @t258 @t262 @t259 @t260 @t266 @t265)) % 45.94/46.24 (define @t277 () (forall @t276 (or @t275 @t274 @t273 @t272 (not (= @t161 @t271)) @t269 (and @t268 (or @t267 (= @t265 @t264))) @t261))) % 45.94/46.24 (define @t278 () (@quantifiers_skolemize @t277 6)) % 45.94/46.24 (define @t279 () (tptp.t2tb2 @t278)) % 45.94/46.24 (define @t280 () (@quantifiers_skolemize @t277 5)) % 45.94/46.24 (define @t281 () (@quantifiers_skolemize @t277 7)) % 45.94/46.24 (define @t282 () (tptp.t2tb1 @t281)) % 45.94/46.24 (define @t283 () (tptp.tb2t2 (tptp.get tptp.loc1 tptp.loc1 @t282 @t279))) % 45.94/46.24 (define @t284 () (forall @t181 (or (not (tptp.list_seg @t283 @t281 @t84 tptp.null)) (not (= @t280 (tptp.tb2t (tptp.cons tptp.loc1 @t279 @t85))))))) % 45.94/46.24 (define @t285 () (not @t284)) % 45.94/46.24 (define @t286 () (= tptp.null @t278)) % 45.94/46.24 (define @t287 () (not @t286)) % 45.94/46.24 (define @t288 () (and @t287 @t285)) % 45.94/46.24 (define @t289 () (= @t74 @t280)) % 45.94/46.24 (define @t290 () (and @t289 (= @t278 tptp.null))) % 45.94/46.24 (define @t291 () (tptp.list_seg @t278 @t281 @t280 tptp.null)) % 45.94/46.24 (define @t292 () (not @t291)) % 45.94/46.24 (define @t293 () (or @t292 @t290 @t288)) % 45.94/46.24 (define @t294 () (forall @t105 @t189)) % 45.94/46.24 (define @t295 () (and @t289 @t286)) % 45.94/46.24 (define @t296 () (or @t292 @t295 @t288)) % 45.94/46.24 (define @t297 () (@list false)) % 45.94/46.24 (define @t298 () (or @t267 (= @t264 @t265))) % 45.94/46.24 (define @t299 () (and @t268 @t298)) % 45.94/46.24 (define @t300 () (not (= @t271 @t161))) % 45.94/46.24 (define @t301 () (or @t275 @t274 @t273 @t272 @t300 @t269 @t299 @t261)) % 45.94/46.24 (define @t302 () (or @t274 @t273 @t272 @t300 @t269 @t299 @t261)) % 45.94/46.24 (define @t303 () (or @t275 @t302)) % 45.94/46.24 (define @t304 () (forall @t276 @t303)) % 45.94/46.24 (define @t305 () (@list @t257 @t258 @t262 @t259 @t260 @t266 @t265)) % 45.94/46.24 (define @t306 () (forall @t305 @t303)) % 45.94/46.24 (define @t307 () (forall @t305 @t302)) % 45.94/46.24 (define @t308 () (@var "BOUND_VARIABLE_8679" tptp.list_loc)) % 45.94/46.24 (define @t309 () (@var "BOUND_VARIABLE_8677" tptp.loc)) % 45.94/46.24 (define @t310 () (or @t275 @t307)) % 45.94/46.24 (define @t311 () (not (tptp.list_seg @t151 @t154 @t132 tptp.null))) % 45.94/46.24 (define @t312 () (or (not (= @t107 (tptp.tb2t (tptp.cons tptp.loc1 (tptp.t2tb2 @t309) (tptp.t2tb @t308))))) (= @t127 @t308))) % 45.94/46.24 (define @t313 () (not (= @t74 @t107))) % 45.94/46.24 (define @t314 () (and @t313 @t312)) % 45.94/46.24 (define @t315 () (not @t162)) % 45.94/46.24 (define @t316 () (not @t163)) % 45.94/46.24 (define @t317 () (not @t164)) % 45.94/46.24 (define @t318 () (not @t114)) % 45.94/46.24 (define @t319 () (or @t318 @t317 @t316 @t315 @t230 @t314 @t311)) % 45.94/46.24 (define @t320 () (forall (@list @t132 @t151 @t107 @t72 @t112 @t309 @t308) @t319)) % 45.94/46.24 (define @t321 () (@list @t309 @t308)) % 45.94/46.24 (define @t322 () (forall @t321 @t319)) % 45.94/46.24 (define @t323 () (forall @t321 @t312)) % 45.94/46.24 (define @t324 () (@var "BOUND_VARIABLE_8607" tptp.list_loc)) % 45.94/46.24 (define @t325 () (@var "BOUND_VARIABLE_8605" tptp.loc)) % 45.94/46.24 (define @t326 () (@list @t325 @t324)) % 45.94/46.24 (define @t327 () (forall @t321 @t313)) % 45.94/46.24 (define @t328 () (and @t327 @t323)) % 45.94/46.24 (define @t329 () (forall @t321 @t314)) % 45.94/46.24 (define @t330 () (or @t318 @t317 @t316 @t315 @t230 @t329 @t311)) % 45.94/46.24 (define @t331 () (and @t313 (forall (@list @t325 @t324) (or (not (= @t107 (tptp.tb2t (tptp.cons tptp.loc1 (tptp.t2tb2 @t325) (tptp.t2tb @t324))))) (= @t127 @t324))))) % 45.94/46.24 (define @t332 () (or @t318 @t317 @t316 @t315 @t230 @t331 @t311)) % 45.94/46.24 (define @t333 () (or @t230 @t331 @t311)) % 45.94/46.24 (define @t334 () (or @t318 @t317 @t316 @t315)) % 45.94/46.24 (define @t335 () (or @t331 @t311)) % 45.94/46.24 (define @t336 () (=> @t237 @t335)) % 45.94/46.24 (define @t337 () (not (= @t154 @t154))) % 45.94/46.24 (define @t338 () (or @t337 @t311)) % 45.94/46.24 (define @t339 () (not @t152)) % 45.94/46.24 (define @t340 () (not @t155)) % 45.94/46.24 (define @t341 () (or @t340 @t340 @t339)) % 45.94/46.24 (define @t342 () (or @t340 @t339)) % 45.94/46.24 (define @t343 () (forall @t157 @t342)) % 45.94/46.24 (define @t344 () (or @t331 @t343)) % 45.94/46.24 (define @t345 () (or @t331 @t342)) % 45.94/46.24 (define @t346 () (or @t340 @t339 @t331)) % 45.94/46.24 (define @t347 () (=> @t152 @t331)) % 45.94/46.24 (define @t348 () (not (= @t72 @t72))) % 45.94/46.24 (define @t349 () (= @t72 @t146)) % 45.94/46.24 (define @t350 () (not @t349)) % 45.94/46.24 (define @t351 () (or @t350 @t350)) % 45.94/46.24 (define @t352 () (forall @t149 @t350)) % 45.94/46.24 (define @t353 () (or @t331 @t352)) % 45.94/46.24 (define @t354 () (or @t331 @t350)) % 45.94/46.24 (define @t355 () (or @t350 @t331)) % 45.94/46.24 (define @t356 () (not (= @t140 @t140))) % 45.94/46.24 (define @t357 () (not @t142)) % 45.94/46.24 (define @t358 () (or @t357 @t357)) % 45.94/46.24 (define @t359 () (forall @t144 @t357)) % 45.94/46.24 (define @t360 () (or @t331 @t359)) % 45.94/46.24 (define @t361 () (or @t331 @t357)) % 45.94/46.24 (define @t362 () (or @t357 @t331)) % 45.94/46.24 (define @t363 () (not (= @t134 @t134))) % 45.94/46.24 (define @t364 () (not @t136)) % 45.94/46.24 (define @t365 () (or @t364 @t364)) % 45.94/46.24 (define @t366 () (forall @t138 @t364)) % 45.94/46.24 (define @t367 () (or @t331 @t366)) % 45.94/46.24 (define @t368 () (or @t331 @t364)) % 45.94/46.24 (define @t369 () (or @t364 @t331)) % 45.94/46.24 (define @t370 () (@var "BOUND_VARIABLE_8581" tptp.list_loc)) % 45.94/46.24 (define @t371 () (@var "BOUND_VARIABLE_8579" tptp.loc)) % 45.94/46.24 (define @t372 () (not (= @t107 (tptp.tb2t (tptp.cons tptp.loc1 (tptp.t2tb2 @t371) (tptp.t2tb @t370)))))) % 45.94/46.24 (define @t373 () (or @t372 (= @t127 @t370))) % 45.94/46.24 (define @t374 () (@list @t371 @t370)) % 45.94/46.24 (define @t375 () (forall @t374 @t373)) % 45.94/46.24 (define @t376 () (@list @t371 @t370)) % 45.94/46.24 (define @t377 () (forall @t374 @t313)) % 45.94/46.24 (define @t378 () (and @t377 @t375)) % 45.94/46.24 (define @t379 () (and @t313 @t373)) % 45.94/46.24 (define @t380 () (not (= @t127 @t127))) % 45.94/46.24 (define @t381 () (or @t380 @t379)) % 45.94/46.24 (define @t382 () (or @t372 (= @t119 @t370))) % 45.94/46.24 (define @t383 () (and @t313 @t382)) % 45.94/46.24 (define @t384 () (not @t128)) % 45.94/46.24 (define @t385 () (or @t384 @t384 @t383)) % 45.94/46.24 (define @t386 () (or @t384 @t383)) % 45.94/46.24 (define @t387 () (forall @t130 @t386)) % 45.94/46.24 (define @t388 () (forall @t374 @t387)) % 45.94/46.24 (define @t389 () (forall (@list @t371 @t370 @t119) @t386)) % 45.94/46.24 (define @t390 () (forall (@list @t119 @t371 @t370) @t386)) % 45.94/46.24 (define @t391 () (forall @t374 @t386)) % 45.94/46.24 (define @t392 () (forall @t374 @t382)) % 45.94/46.24 (define @t393 () (and @t377 @t392)) % 45.94/46.24 (define @t394 () (forall @t374 @t383)) % 45.94/46.24 (define @t395 () (or @t384 @t394)) % 45.94/46.24 (define @t396 () (= @t119 @t120)) % 45.94/46.24 (define @t397 () (and @t313 (forall @t123 (or (not @t121) @t396)))) % 45.94/46.24 (define @t398 () (@quantifiers_skolemize @t277 3)) % 45.94/46.24 (define @t399 () (@quantifiers_skolemize @t277 4)) % 45.94/46.24 (define @t400 () (tptp.t2tb @t280)) % 45.94/46.24 (define @t401 () (@quantifiers_skolemize @t277 9)) % 45.94/46.24 (define @t402 () (= @t401 (tptp.tb2t (tptp.tail tptp.loc1 @t400)))) % 45.94/46.24 (define @t403 () (tptp.t2tb @t401)) % 45.94/46.24 (define @t404 () (tptp.t2tb2 (@quantifiers_skolemize @t277 8))) % 45.94/46.24 (define @t405 () (tptp.cons tptp.loc1 @t404 @t403)) % 45.94/46.24 (define @t406 () (tptp.tb2t @t405)) % 45.94/46.24 (define @t407 () (= @t280 @t406)) % 45.94/46.24 (define @t408 () (not @t407)) % 45.94/46.24 (define @t409 () (or @t408 @t402)) % 45.94/46.24 (define @t410 () (not @t289)) % 45.94/46.24 (define @t411 () (and @t410 @t409)) % 45.94/46.24 (define @t412 () (tptp.t2tb @t398)) % 45.94/46.24 (define @t413 () (@quantifiers_skolemize @t277 1)) % 45.94/46.24 (define @t414 () (or (not (tptp.list_seg (@quantifiers_skolemize @t277 0) (@quantifiers_skolemize @t277 2) @t413 tptp.null)) @t292 (not (tptp.list_seg @t399 @t281 @t398 tptp.null)) (not (tptp.disjoint tptp.loc1 @t400 @t412)) (not (= (tptp.tb2t (tptp.reverse tptp.loc1 (tptp.t2tb @t413))) (tptp.tb2t (tptp.infix_plpl tptp.loc1 (tptp.reverse tptp.loc1 @t400) @t412)))) @t286 @t411 (not (tptp.list_seg @t399 (tptp.tb2t1 (tptp.set tptp.loc1 tptp.loc1 @t282 @t279 (tptp.t2tb2 @t399))) @t398 tptp.null)))) % 45.94/46.24 (define @t415 () (@list true)) % 45.94/46.24 (define @t416 () (@list @t414)) % 45.94/46.24 (define @t417 () (not @t295)) % 45.94/46.24 (define @t418 () (@quantifiers_skolemize @t284 0)) % 45.94/46.24 (define @t419 () (tptp.t2tb @t418)) % 45.94/46.24 (define @t420 () (tptp.cons tptp.loc1 @t279 @t419)) % 45.94/46.24 (define @t421 () (tptp.tb2t @t420)) % 45.94/46.24 (define @t422 () (= @t280 @t421)) % 45.94/46.24 (define @t423 () (not @t422)) % 45.94/46.24 (define @t424 () (or (not (tptp.list_seg @t283 @t281 @t418 tptp.null)) @t423)) % 45.94/46.24 (define @t425 () (@list tptp.loc1 @t279 @t419)) % 45.94/46.24 (define @t426 () (tptp.cons_proj_2 tptp.loc1 @t405)) % 45.94/46.24 (define @t427 () (= @t403 @t426)) % 45.94/46.24 (define @t428 () (tptp.tb2t @t403)) % 45.94/46.24 (define @t429 () (= @t401 @t428)) % 45.94/46.24 (define @t430 () (tptp.t2tb @t406)) % 45.94/46.24 (define @t431 () (= @t405 @t430)) % 45.94/46.24 (define @t432 () (= @t419 (tptp.cons_proj_2 tptp.loc1 @t420))) % 45.94/46.24 (define @t433 () (tptp.tail tptp.loc1 @t420)) % 45.94/46.24 (define @t434 () (= @t419 @t433)) % 45.94/46.24 (define @t435 () (tptp.t2tb @t421)) % 45.94/46.24 (define @t436 () (= @t420 @t435)) % 45.94/46.24 (define @t437 () (and @t407 @t427 @t429 @t431 @t422 @t432 @t434 @t436)) % 45.94/46.24 (define @t438 () (not @t436)) % 45.94/46.24 (define @t439 () (not @t409)) % 45.94/46.24 (define @t440 () (tptp.t2tb @t74)) % 45.94/46.24 (define @t441 () (= @t73 @t440)) % 45.94/46.24 (define @t442 () (= @t73 @t420)) % 45.94/46.24 (define @t443 () (and @t289 @t441 @t422 @t436)) % 45.94/46.24 (assume @p1 (forall @t2 (tptp.sort @t1 (tptp.witness @t1)))) % 45.94/46.24 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort @t1 (tptp.match_bool @t1 @t5 @t4 @t3)))) % 45.94/46.24 (assume @p3 (forall @t8 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.true @t6 @t7) @t6)))) % 45.94/46.24 (assume @p4 (forall @t8 (=> (tptp.sort @t1 @t7) (= (tptp.match_bool @t1 tptp.false @t6 @t7) @t7)))) % 45.94/46.24 (assume @p5 (not (= tptp.true tptp.false))) % 45.94/46.24 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true) (= @t9 tptp.false)))) % 45.94/46.24 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple02))) % 45.94/46.24 (assume @p8 (forall (@list @t13 @t12 @t11) (=> (<= @t13 @t12) (=> (<= 0 @t11) (<= (* @t13 @t11) (* @t12 @t11)))))) % 45.94/46.24 (assume @p9 (forall @t2 (tptp.sort @t15 @t14))) % 45.94/46.24 (assume @p10 (forall @t18 (tptp.sort @t15 @t17))) % 45.94/46.24 (assume @p11 (forall (@list @t1 @t19 @t16 @t4 @t3) (tptp.sort @t19 (tptp.match_list @t19 @t1 @t16 @t4 @t3)))) % 45.94/46.24 (assume @p12 (forall (@list @t1 @t19 @t6 @t7) (=> (tptp.sort @t19 @t6) (= (tptp.match_list @t19 @t1 @t14 @t6 @t7) @t6)))) % 45.94/46.24 (assume @p13 (forall (@list @t1 @t19 @t6 @t7 @t21 @t20) (=> (tptp.sort @t19 @t7) (= (tptp.match_list @t19 @t1 @t22 @t6 @t7) @t7)))) % 45.94/46.24 (assume @p14 (forall (@list @t1 @t24 @t23) (not (= @t14 (tptp.cons @t1 @t24 @t23))))) % 45.94/46.24 (assume @p15 (forall @t25 (tptp.sort @t1 (tptp.cons_proj_1 @t1 @t16)))) % 45.94/46.24 (assume @p16 (forall @t27 (=> @t26 (= (tptp.cons_proj_1 @t1 @t22) @t21)))) % 45.94/46.24 (assume @p17 (forall @t25 (tptp.sort @t15 (tptp.cons_proj_2 @t1 @t16)))) % 45.94/46.24 (assume @p18 @t29) % 45.94/46.24 (assume @p19 (forall @t30 (or (= @t21 @t14) (= @t21 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t21) (tptp.cons_proj_2 @t1 @t21)))))) % 45.94/46.24 (assume @p20 (forall @t25 (tptp.sort @t1 (tptp.head @t1 @t16)))) % 45.94/46.24 (assume @p21 (forall @t34 (=> @t33 (= (tptp.head @t1 @t32) @t16)))) % 45.94/46.24 (assume @p22 (forall @t25 (tptp.sort @t15 (tptp.tail @t1 @t16)))) % 45.94/46.24 (assume @p23 @t36) % 45.94/46.24 (assume @p24 (forall @t25 (=> @t33 (and (not (tptp.mem @t1 @t16 @t14)) (forall (@list @t4 @t3) (=> (tptp.sort @t1 @t4) (= (tptp.mem @t1 @t16 (tptp.cons @t1 @t4 @t3)) (or (= @t16 @t4) (tptp.mem @t1 @t16 @t3))))))))) % 45.94/46.24 (assume @p25 (forall @t44 (and (=> @t39 (forall @t43 @t42)) (=> (forall @t43 (=> @t33 @t42)) @t39)))) % 45.94/46.24 (assume @p26 (forall @t2 (and (tptp.no_repet @t1 @t14) (forall @t45 (= (tptp.no_repet @t1 @t17) (and (not (tptp.mem @t1 @t16 @t4)) (tptp.no_repet @t1 @t4))))))) % 45.94/46.24 (assume @p27 (forall @t18 (tptp.sort @t15 (tptp.infix_plpl @t1 @t16 @t4)))) % 45.94/46.24 (assume @p28 (forall (@list @t1 @t37) (and (= (tptp.infix_plpl @t1 @t14 @t37) @t37) (forall @t45 (= (tptp.infix_plpl @t1 @t17 @t37) (tptp.cons @t1 @t16 (tptp.infix_plpl @t1 @t4 @t37))))))) % 45.94/46.24 (assume @p29 (forall (@list @t1 @t38 @t37 @t46) (= (tptp.infix_plpl @t1 @t38 (tptp.infix_plpl @t1 @t37 @t46)) (tptp.infix_plpl @t1 @t47 @t46)))) % 45.94/46.24 (assume @p30 (forall @t48 (= (tptp.infix_plpl @t1 @t31 @t14) @t31))) % 45.94/46.24 (assume @p31 (forall @t2 (and (= (tptp.length @t1 @t14) 0) (forall @t45 (= (tptp.length @t1 @t17) (+ 1 (tptp.length @t1 @t4))))))) % 45.94/46.24 (assume @p32 (forall @t48 (<= 0 @t49))) % 45.94/46.24 (assume @p33 (forall @t48 (= (= @t49 0) (= @t31 @t14)))) % 45.94/46.24 (assume @p34 (forall @t44 (= (tptp.length @t1 @t47) (+ (tptp.length @t1 @t38) (tptp.length @t1 @t37))))) % 45.94/46.24 (assume @p35 (forall (@list @t1 @t16 @t38 @t37) (= (tptp.mem @t1 @t16 @t47) (or @t41 @t40)))) % 45.94/46.24 (assume @p36 (forall @t34 (=> @t51 (exists (@list @t38 @t37) (and (tptp.sort @t15 @t38) (tptp.sort @t15 @t37) (= @t31 (tptp.infix_plpl @t1 @t38 @t50))))))) % 45.94/46.24 (assume @p37 (forall @t25 (tptp.sort @t15 (tptp.reverse @t1 @t16)))) % 45.94/46.24 (assume @p38 (forall @t2 (and (= (tptp.reverse @t1 @t14) @t14) (forall @t45 (= (tptp.reverse @t1 @t17) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t4) @t52)))))) % 45.94/46.24 (assume @p39 (forall (@list @t1 @t38 @t37 @t16) (= (tptp.infix_plpl @t1 (tptp.reverse @t1 (tptp.cons @t1 @t16 @t38)) @t37) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t38) @t50)))) % 45.94/46.24 (assume @p40 (forall @t54 (= (tptp.reverse @t1 @t32) (tptp.infix_plpl @t1 @t53 @t52)))) % 45.94/46.24 (assume @p41 (forall @t48 (= (tptp.reverse @t1 @t53) @t31))) % 45.94/46.24 (assume @p42 (forall @t54 (= @t51 (tptp.mem @t1 @t16 @t53)))) % 45.94/46.24 (assume @p43 (forall @t48 (= (tptp.length @t1 @t53) @t49))) % 45.94/46.24 (assume @p44 (forall (@list @t1 @t55 @t16 @t4) (tptp.sort @t55 (tptp.get @t55 @t1 @t16 @t4)))) % 45.94/46.24 (assume @p45 (forall (@list @t1 @t55 @t16 @t4 @t3) (tptp.sort @t56 (tptp.set @t55 @t1 @t16 @t4 @t3)))) % 45.94/46.24 (assume @p46 (forall (@list @t1 @t55 @t60 @t59 @t58 @t57) (=> @t63 (=> @t62 (= @t61 @t57))))) % 45.94/46.24 (assume @p47 (forall (@list @t1 @t55 @t60 @t59 @t58) (=> (tptp.sort @t1 @t59) (=> (tptp.sort @t1 @t58) (forall (@list @t57) (=> (not @t62) (= @t61 (tptp.get @t55 @t1 @t60 @t58)))))))) % 45.94/46.24 (assume @p48 (forall (@list @t1 @t55 @t16) (tptp.sort @t56 (tptp.const @t55 @t1 @t16)))) % 45.94/46.24 (assume @p49 (forall (@list @t1 @t55 @t57 @t59) (=> @t63 (= (tptp.get @t55 @t1 (tptp.const @t55 @t1 @t57) @t59) @t57)))) % 45.94/46.24 (assume @p50 (forall (@list @t64) (tptp.sort (tptp.list tptp.loc1) (tptp.t2tb @t64)))) % 45.94/46.24 (assume @p51 @t67) % 45.94/46.24 (assume @p52 @t71) % 45.94/46.24 (assume @p53 (forall @t76 (tptp.list_seg @t72 @t75 @t74 @t72))) % 45.94/46.24 (assume @p54 (forall (@list @t77) (tptp.sort @t78 (tptp.t2tb1 @t77)))) % 45.94/46.24 (assume @p55 (forall (@list @t79) (= (tptp.tb2t1 (tptp.t2tb1 @t79)) @t79))) % 45.94/46.24 (assume @p56 (forall @t70 (=> (tptp.sort @t78 @t68) (= (tptp.t2tb1 (tptp.tb2t1 @t68)) @t68)))) % 45.94/46.24 (assume @p57 (forall (@list @t80) (tptp.sort tptp.loc1 @t81))) % 45.94/46.24 (assume @p58 (forall (@list @t82) (= (tptp.tb2t2 (tptp.t2tb2 @t82)) @t82))) % 45.94/46.24 (assume @p59 (forall @t70 (=> (tptp.sort tptp.loc1 @t68) (= (tptp.t2tb2 (tptp.tb2t2 @t68)) @t68)))) % 45.94/46.24 (assume @p60 (forall @t91 (=> (and @t90 @t89) (tptp.list_seg @t72 @t75 @t87 @t83)))) % 45.94/46.24 (assume @p61 @t106) % 45.94/46.24 (assume @p62 (forall (@list @t112 @t108 @t72 @t83 @t111 @t107) (=> (and @t114 (= @t108 (tptp.tb2t1 (tptp.set tptp.loc1 tptp.loc1 @t113 @t110 (tptp.t2tb2 @t111)))) (not (tptp.mem tptp.loc1 @t110 @t109))) (tptp.list_seg @t72 @t108 @t107 tptp.null)))) % 45.94/46.24 (assume @p63 (forall (@list @t75 @t116 @t115 @t72) (=> (and (tptp.list_seg @t72 @t75 @t116 tptp.null) (tptp.list_seg @t72 @t75 @t115 tptp.null)) (= @t116 @t115)))) % 45.94/46.24 (assume @p64 (forall (@list @t75 @t116 @t115 @t72 @t83) (=> (tptp.list_seg @t72 @t75 (tptp.tb2t (tptp.infix_plpl tptp.loc1 (tptp.t2tb @t116) @t117)) tptp.null) (tptp.list_seg @t83 @t75 (tptp.tb2t @t117) tptp.null)))) % 45.94/46.24 (assume @p65 (forall (@list @t75 @t107 @t72) (=> (tptp.list_seg @t72 @t75 @t107 tptp.null) (tptp.no_repet tptp.loc1 @t109)))) % 45.94/46.24 (assume @p66 (forall @t25 (tptp.sort @t118 (tptp.mk_ref @t1 @t16)))) % 45.94/46.24 (assume @p67 (forall @t25 (tptp.sort @t1 (tptp.contents @t1 @t16)))) % 45.94/46.24 (assume @p68 (forall @t30 (=> @t26 (= (tptp.contents @t1 (tptp.mk_ref @t1 @t21)) @t21)))) % 45.94/46.24 (assume @p69 (forall @t30 (=> (tptp.sort @t118 @t21) (= @t21 (tptp.mk_ref @t1 (tptp.contents @t1 @t21)))))) % 45.94/46.24 (assume @p70 @t174) % 45.94/46.24 (assume @p71 true) % 45.94/46.24 (step @p72 :rule eq-symm :args (@t69 @t68)) % 45.94/46.24 (step @p73 :rule cong :premises (@p72) :args (@t71)) % 45.94/46.24 (step @p74 :rule eq_resolve :premises (@p52 @p73)) % 45.94/46.24 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t73))) % 45.94/46.24 (step @p76 :rule aci_norm :args ((= (or @t188 (or @t187 @t184)) @t189))) % 45.94/46.24 (step @p77 :rule bool-or-de-morgan :args (@t183 @t182 false)) % 45.94/46.24 (step @p78 :rule bool-double-not-elim :args (@t185)) % 45.94/46.24 (step @p79 :rule bool-double-not-elim :args (@t186)) % 45.94/46.24 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((and (not @t191) (not @t190)))) % 45.94/46.24 (step @p81 :rule bool-or-de-morgan :args (@t191 @t190 false)) % 45.94/46.24 (step @p82 :rule trans :premises (@p81 @p80)) % 45.94/46.24 (step @p83 :rule nary_cong :premises (@p82 @p77) :args (@t193)) % 45.94/46.24 (step @p84 :rule refl :args (@t188)) % 45.94/46.24 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t188 @t193))) % 45.94/46.24 (step @p86 :rule trans :premises (@p85 @p76)) % 45.94/46.24 (step @p87 :rule bool-impl-elim :args (@t103 @t193)) % 45.94/46.24 (step @p88 :rule trans :premises (@p87 @p86)) % 45.94/46.24 (step @p89 :rule cong :premises (@p88) :args ((forall @t105 (=> @t103 @t193)))) % 45.94/46.24 (step @p90 :rule aci_norm :args ((= (or @t179 @t177 false) @t180))) % 45.94/46.24 (step @p91 :rule evaluate :args ((not true))) % 45.94/46.24 (step @p92 :rule eq-refl :args (@t92)) % 45.94/46.24 (step @p93 :rule cong :premises (@p92) :args (@t194)) % 45.94/46.24 (step @p94 :rule trans :premises (@p93 @p91)) % 45.94/46.24 (step @p95 :rule refl :args (@t177)) % 45.94/46.24 (step @p96 :rule refl :args (@t179)) % 45.94/46.24 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t195)) % 45.94/46.24 (step @p98 :rule trans :premises (@p97 @p90)) % 45.94/46.24 (step @p99 :rule cong :premises (@p98) :args ((forall @t181 @t195))) % 45.94/46.24 (step @p100 :rule quant-var-elim-eq :args ((= (forall @t200 @t199) @t195))) % 45.94/46.24 (step @p101 :rule aci_norm :args ((= @t201 @t199))) % 45.94/46.24 (step @p102 :rule cong :premises (@p101) :args (@t202)) % 45.94/46.24 (step @p103 :rule trans :premises (@p102 @p100)) % 45.94/46.24 (step @p104 :rule cong :premises (@p103) :args (@t203)) % 45.94/46.24 (step @p105 :rule quant-merge-prenex :args ((= @t203 @t204))) % 45.94/46.24 (step @p106 :rule symm :premises (@p105)) % 45.94/46.24 (step @p107 :rule quant_var_reordering :args ((= (forall @t205 @t201) @t204))) % 45.94/46.24 (step @p108 :rule trans :premises (@p107 @p106 @p104)) % 45.94/46.24 (step @p109 :rule trans :premises (@p108 @p99)) % 45.94/46.24 (step @p110 :rule aci_norm :args ((= (or @t198 false @t177 @t197) @t201))) % 45.94/46.24 (step @p111 :rule refl :args (@t197)) % 45.94/46.24 (step @p112 :rule eq-refl :args (@t94)) % 45.94/46.24 (step @p113 :rule cong :premises (@p112) :args (@t206)) % 45.94/46.24 (step @p114 :rule trans :premises (@p113 @p91)) % 45.94/46.24 (step @p115 :rule refl :args (@t198)) % 45.94/46.24 (step @p116 :rule nary_cong :premises (@p115 @p114 @p95 @p111) :args (@t207)) % 45.94/46.24 (step @p117 :rule trans :premises (@p116 @p110)) % 45.94/46.24 (step @p118 :rule cong :premises (@p117) :args ((forall @t205 @t207))) % 45.94/46.24 (step @p119 :rule trans :premises (@p118 @p109)) % 45.94/46.24 (step @p120 :rule quant-var-elim-eq :args ((= (forall @t212 @t211) @t207))) % 45.94/46.24 (step @p121 :rule aci_norm :args ((= @t213 @t211))) % 45.94/46.24 (step @p122 :rule cong :premises (@p121) :args (@t214)) % 45.94/46.24 (step @p123 :rule trans :premises (@p122 @p120)) % 45.94/46.24 (step @p124 :rule cong :premises (@p123) :args (@t215)) % 45.94/46.24 (step @p125 :rule quant-merge-prenex :args ((= @t215 @t216))) % 45.94/46.24 (step @p126 :rule symm :premises (@p125)) % 45.94/46.24 (step @p127 :rule quant_var_reordering :args ((= @t218 @t216))) % 45.94/46.24 (step @p128 :rule trans :premises (@p127 @p126 @p124)) % 45.94/46.24 (step @p129 :rule trans :premises (@p128 @p119)) % 45.94/46.24 (step @p130 :rule refl :args (@t183)) % 45.94/46.24 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t219)) % 45.94/46.24 (step @p132 :rule quant-miniscope-or :args ((= (forall @t217 @t220) @t219))) % 45.94/46.24 (step @p133 :rule aci_norm :args ((= @t221 @t220))) % 45.94/46.24 (step @p134 :rule cong :premises (@p133) :args ((forall @t217 @t221))) % 45.94/46.24 (step @p135 :rule trans :premises (@p134 @p132)) % 45.94/46.24 (step @p136 :rule trans :premises (@p135 @p131)) % 45.94/46.24 (step @p137 :rule aci_norm :args ((= (or @t183 @t210 false @t209 @t177 @t197) @t221))) % 45.94/46.24 (step @p138 :rule eq-symm :args (@t176 @t93)) % 45.94/46.24 (step @p139 :rule cong :premises (@p138) :args (@t222)) % 45.94/46.24 (step @p140 :rule refl :args (@t209)) % 45.94/46.24 (step @p141 :rule eq-refl :args (@t96)) % 45.94/46.24 (step @p142 :rule cong :premises (@p141) :args (@t223)) % 45.94/46.24 (step @p143 :rule trans :premises (@p142 @p91)) % 45.94/46.24 (step @p144 :rule refl :args (@t210)) % 45.94/46.24 (step @p145 :rule nary_cong :premises (@p130 @p144 @p143 @p140 @p139 @p111) :args (@t224)) % 45.94/46.24 (step @p146 :rule trans :premises (@p145 @p137)) % 45.94/46.24 (step @p147 :rule cong :premises (@p146) :args ((forall @t217 @t224))) % 45.94/46.24 (step @p148 :rule trans :premises (@p147 @p136)) % 45.94/46.24 (step @p149 :rule quant-var-elim-eq :args ((= (forall @t232 @t231) @t224))) % 45.94/46.24 (step @p150 :rule aci_norm :args ((= @t233 @t231))) % 45.94/46.24 (step @p151 :rule cong :premises (@p150) :args (@t234)) % 45.94/46.24 (step @p152 :rule trans :premises (@p151 @p149)) % 45.94/46.24 (step @p153 :rule cong :premises (@p152) :args (@t235)) % 45.94/46.24 (step @p154 :rule quant-merge-prenex :args ((= @t235 @t236))) % 45.94/46.24 (step @p155 :rule symm :premises (@p154)) % 45.94/46.24 (step @p156 :rule quant_var_reordering :args ((= (forall @t91 @t233) @t236))) % 45.94/46.24 (step @p157 :rule trans :premises (@p156 @p155 @p153)) % 45.94/46.24 (step @p158 :rule trans :premises (@p157 @p148)) % 45.94/46.24 (step @p159 :rule refl :args (@t197)) % 45.94/46.24 (step @p160 :rule refl :args (@t226)) % 45.94/46.24 (step @p161 :rule refl :args (@t209)) % 45.94/46.24 (step @p162 :rule refl :args (@t228)) % 45.94/46.24 (step @p163 :rule refl :args (@t229)) % 45.94/46.24 (step @p164 :rule bool-double-not-elim :args (@t230)) % 45.94/46.24 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162 @p161 @p160 @p159) :args (@t239)) % 45.94/46.24 (step @p166 :rule aci_norm :args ((= (or @t238 (or @t229 (or @t228 (or @t209 (or @t226 @t197))))) @t239))) % 45.94/46.24 (step @p167 :rule trans :premises (@p166 @p165)) % 45.94/46.24 (step @p168 :rule bool-and-de-morgan :args (@t225 @t196 true)) % 45.94/46.24 (step @p169 :rule nary_cong :premises (@p161 @p168) :args ((or @t209 (not (and @t225 @t196))))) % 45.94/46.24 (step @p170 :rule bool-and-de-morgan :args (@t208 @t225 (and @t196))) % 45.94/46.24 (step @p171 :rule trans :premises (@p170 @p169)) % 45.94/46.24 (step @p172 :rule nary_cong :premises (@p162 @p171) :args ((or @t228 (not (and @t208 @t225 @t196))))) % 45.94/46.24 (step @p173 :rule bool-and-de-morgan :args (@t227 @t208 (and @t225 @t196))) % 45.94/46.24 (step @p174 :rule trans :premises (@p173 @p172)) % 45.94/46.24 (step @p175 :rule nary_cong :premises (@p163 @p174) :args ((or @t229 (not (and @t227 @t208 @t225 @t196))))) % 45.94/46.24 (step @p176 :rule bool-and-de-morgan :args (@t89 @t227 (and @t208 @t225 @t196))) % 45.94/46.24 (step @p177 :rule trans :premises (@p176 @p175)) % 45.94/46.24 (step @p178 :rule refl :args (@t238)) % 45.94/46.24 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t238 (not (and @t89 @t227 @t208 @t225 @t196))))) % 45.94/46.24 (step @p180 :rule bool-and-de-morgan :args (@t237 @t89 (and @t227 @t208 @t225 @t196))) % 45.94/46.24 (step @p181 :rule trans :premises (@p180 @p179)) % 45.94/46.24 (step @p182 :rule trans :premises (@p181 @p167)) % 45.94/46.24 (step @p183 :rule cong :premises (@p182) :args (@t241)) % 45.94/46.24 (step @p184 :rule trans :premises (@p183 @p158)) % 45.94/46.24 (step @p185 :rule cong :premises (@p184) :args (@t242)) % 45.94/46.24 (step @p186 :rule exists-elim :args ((= (exists @t91 @t240) @t242))) % 45.94/46.24 (step @p187 :rule trans :premises (@p186 @p185)) % 45.94/46.24 (step @p188 :rule 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45.94/46.24 (step @p398 :rule bool-impl-elim :args (@t142 @t331)) % 45.94/46.24 (step @p399 :rule cong :premises (@p398) :args ((forall @t144 (=> @t142 @t331)))) % 45.94/46.24 (step @p400 :rule trans :premises (@p399 @p397)) % 45.94/46.24 (step @p401 :rule eq-refl :args (@t134)) % 45.94/46.24 (step @p402 :rule cong :premises (@p401) :args (@t363)) % 45.94/46.24 (step @p403 :rule trans :premises (@p402 @p91)) % 45.94/46.24 (step @p404 :rule quant-var-elim-eq :args ((= (forall @t138 @t365) @t363))) % 45.94/46.24 (step @p405 :rule aci_norm :args ((= @t364 @t365))) % 45.94/46.24 (step @p406 :rule cong :premises (@p405) :args (@t366)) % 45.94/46.24 (step @p407 :rule trans :premises (@p406 @p404)) % 45.94/46.24 (step @p408 :rule trans :premises (@p407 @p403)) % 45.94/46.24 (step @p409 :rule nary_cong :premises (@p343 @p408) :args (@t367)) % 45.94/46.24 (step @p410 :rule trans :premises (@p409 @p359)) % 45.94/46.24 (step @p411 :rule quant-miniscope-or :args ((= (forall @t138 @t368) @t367))) % 45.94/46.24 (step @p412 :rule aci_norm :args ((= @t369 @t368))) % 45.94/46.24 (step @p413 :rule cong :premises (@p412) :args ((forall @t138 @t369))) % 45.94/46.24 (step @p414 :rule trans :premises (@p413 @p411)) % 45.94/46.24 (step @p415 :rule trans :premises (@p414 @p410)) % 45.94/46.24 (step @p416 :rule bool-impl-elim :args (@t136 @t331)) % 45.94/46.24 (step @p417 :rule cong :premises (@p416) :args ((forall @t138 (=> @t136 @t331)))) % 45.94/46.24 (step @p418 :rule trans :premises (@p417 @p415)) % 45.94/46.24 (step @p419 :rule alpha_equiv :args (@t375 @t376 @t326)) % 45.94/46.24 (step @p420 :rule quant-unused-vars :args ((= @t377 @t313))) % 45.94/46.24 (step @p421 :rule nary_cong :premises (@p420 @p419) :args (@t378)) % 45.94/46.24 (step @p422 :rule quant-miniscope-and :args ((= (forall @t374 @t379) @t378))) % 45.94/46.24 (step @p423 :rule trans :premises (@p422 @p421)) % 45.94/46.24 (step @p424 :rule aci_norm :args ((= (or false @t379) @t379))) % 45.94/46.24 (step @p425 :rule refl :args (@t379)) % 45.94/46.24 (step @p426 :rule eq-refl :args (@t127)) % 45.94/46.24 (step @p427 :rule cong :premises (@p426) :args (@t380)) % 45.94/46.24 (step @p428 :rule trans :premises (@p427 @p91)) % 45.94/46.24 (step @p429 :rule nary_cong :premises (@p428 @p425) :args (@t381)) % 45.94/46.24 (step @p430 :rule trans :premises (@p429 @p424)) % 45.94/46.24 (step @p431 :rule cong :premises (@p430) :args ((forall @t374 @t381))) % 45.94/46.24 (step @p432 :rule trans :premises (@p431 @p423)) % 45.94/46.24 (step @p433 :rule quant-var-elim-eq :args ((= (forall @t130 @t385) @t381))) % 45.94/46.24 (step @p434 :rule aci_norm :args ((= @t386 @t385))) % 45.94/46.24 (step @p435 :rule cong :premises (@p434) :args (@t387)) % 45.94/46.24 (step @p436 :rule trans :premises (@p435 @p433)) % 45.94/46.24 (step @p437 :rule cong :premises (@p436) :args (@t388)) % 45.94/46.24 (step @p438 :rule quant-merge-prenex :args ((= @t388 @t389))) % 45.94/46.24 (step @p439 :rule symm :premises (@p438)) % 45.94/46.24 (step @p440 :rule quant_var_reordering :args ((= @t390 @t389))) % 45.94/46.24 (step @p441 :rule trans :premises (@p440 @p439 @p437)) % 45.94/46.24 (step @p442 :rule trans :premises (@p441 @p432)) % 45.94/46.24 (step @p443 :rule quant-merge-prenex :args ((= (forall @t130 @t391) @t390))) % 45.94/46.24 (step @p444 :rule alpha_equiv :args (@t392 @t376 (@list @t80 @t120))) % 45.94/46.24 (step @p445 :rule nary_cong :premises (@p420 @p444) :args (@t393)) % 45.94/46.24 (step @p446 :rule quant-miniscope-and :args ((= @t394 @t393))) % 45.94/46.24 (step @p447 :rule trans :premises (@p446 @p445)) % 45.94/46.24 (step @p448 :rule refl :args (@t384)) % 45.94/46.24 (step @p449 :rule nary_cong :premises (@p448 @p447) :args (@t395)) % 45.94/46.24 (step @p450 :rule quant-miniscope-or :args ((= @t391 @t395))) % 45.94/46.24 (step @p451 :rule trans :premises (@p450 @p449)) % 45.94/46.24 (step @p452 :rule symm :premises (@p451)) % 45.94/46.24 (step @p453 :rule cong :premises (@p452) :args ((forall @t130 (or @t384 @t397)))) % 45.94/46.24 (step @p454 :rule trans :premises (@p453 @p443)) % 45.94/46.24 (step @p455 :rule trans :premises (@p454 @p442)) % 45.94/46.24 (step @p456 :rule bool-impl-elim :args (@t128 @t397)) % 45.94/46.24 (step @p457 :rule cong :premises (@p456) :args ((forall @t130 (=> @t128 @t397)))) % 45.94/46.24 (step @p458 :rule trans :premises (@p457 @p455)) % 45.94/46.24 (step @p459 :rule bool-impl-elim :args (@t121 @t396)) % 45.94/46.24 (step @p460 :rule cong :premises (@p459) :args ((forall @t123 (=> @t121 @t396)))) % 45.94/46.24 (step @p461 :rule eq-symm :args (@t120 @t119)) % 45.94/46.24 (step @p462 :rule refl :args (@t121)) % 45.94/46.24 (step @p463 :rule cong :premises (@p462 @p461) :args (@t122)) % 45.94/46.24 (step @p464 :rule cong :premises (@p463) :args (@t124)) % 45.94/46.24 (step @p465 :rule trans :premises (@p464 @p460)) % 45.94/46.24 (step @p466 :rule eq-symm :args (@t107 @t74)) % 45.94/46.24 (step @p467 :rule cong :premises (@p466) :args (@t125)) % 45.94/46.24 (step @p468 :rule nary_cong :premises (@p467 @p465) :args (@t126)) % 45.94/46.24 (step @p469 :rule refl :args (@t128)) % 45.94/46.24 (step @p470 :rule cong :premises (@p469 @p468) :args (@t129)) % 45.94/46.24 (step @p471 :rule cong :premises (@p470) :args (@t131)) % 45.94/46.24 (step @p472 :rule trans :premises (@p471 @p458)) % 45.94/46.24 (step @p473 :rule refl :args (@t136)) % 45.94/46.24 (step @p474 :rule cong :premises (@p473 @p472) :args (@t137)) % 45.94/46.24 (step @p475 :rule cong :premises (@p474) :args (@t139)) % 45.94/46.24 (step @p476 :rule trans :premises (@p475 @p418)) % 45.94/46.24 (step @p477 :rule refl :args (@t142)) % 45.94/46.24 (step @p478 :rule cong :premises (@p477 @p476) :args (@t143)) % 45.94/46.24 (step @p479 :rule cong :premises (@p478) :args (@t145)) % 45.94/46.24 (step @p480 :rule trans :premises (@p479 @p400)) % 45.94/46.24 (step @p481 :rule eq-symm :args (@t146 @t72)) % 45.94/46.24 (step @p482 :rule cong :premises (@p481 @p480) :args (@t148)) % 45.94/46.24 (step @p483 :rule cong :premises (@p482) :args (@t150)) % 45.94/46.24 (step @p484 :rule trans :premises (@p483 @p382)) % 45.94/46.24 (step @p485 :rule refl :args (@t152)) % 45.94/46.24 (step @p486 :rule cong :premises (@p485 @p484) :args (@t153)) % 45.94/46.24 (step @p487 :rule refl :args (@t155)) % 45.94/46.24 (step @p488 :rule cong :premises (@p487 @p486) :args (@t156)) % 45.94/46.24 (step @p489 :rule cong :premises (@p488) :args (@t158)) % 45.94/46.24 (step @p490 :rule trans :premises (@p489 @p358)) % 45.94/46.24 (step @p491 :rule cong :premises (@p194 @p490) :args (@t159)) % 45.94/46.24 (step @p492 :rule refl :args (@t165)) % 45.94/46.24 (step @p493 :rule cong :premises (@p492 @p491) :args (@t166)) % 45.94/46.24 (step @p494 :rule cong :premises (@p493) :args (@t168)) % 45.94/46.24 (step @p495 :rule trans :premises (@p494 @p330)) % 45.94/46.24 (step @p496 :rule refl :args (@t170)) % 45.94/46.24 (step @p497 :rule cong :premises (@p496 @p495) :args (@t171)) % 45.94/46.24 (step @p498 :rule cong :premises (@p497) :args (@t173)) % 45.94/46.24 (step @p499 :rule trans :premises (@p498 @p290)) % 45.94/46.24 (step @p500 :rule cong :premises (@p499) :args (@t174)) % 45.94/46.24 (step @p501 :rule eq_resolve :premises (@p70 @p500)) % 45.94/46.24 (step @p502 :rule skolemize :premises (@p501)) % 45.94/46.24 (step @p503 :rule cnf_or_neg :args (@t414 5)) % 45.94/46.24 (step @p504 :rule chain_m_resolution :premises (@p503 @p502) :args (@t287 @t415 @t416)) % 45.94/46.24 (step @p505 :rule cnf_and_pos :args (@t295 1)) % 45.94/46.24 (step @p506 :rule reordering :premises (@p505) :args ((or @t286 @t417))) % 45.94/46.24 (step @p507 :rule chain_m_resolution :premises (@p506 @p504) :args (@t417 @t415 (@list @t286))) % 45.94/46.24 (step @p508 :rule bool-double-not-elim :args (@t291)) % 45.94/46.24 (step @p509 :rule refl :args (@t414)) % 45.94/46.24 (step @p510 :rule nary_cong :premises (@p509 @p508) :args ((or @t414 (not @t292)))) % 45.94/46.24 (step @p511 :rule cnf_or_neg :args (@t414 1)) % 45.94/46.24 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 45.94/46.24 (step @p513 :rule reordering :premises (@p512) :args ((or @t291 @t414))) % 45.94/46.24 (step @p514 :rule chain_m_resolution :premises (@p513 @p502) :args (@t291 @t415 @t416)) % 45.94/46.24 (step @p515 :rule cnf_or_pos :args (@t296)) % 45.94/46.24 (step @p516 :rule reordering :premises (@p515) :args ((or @t292 @t288 @t295 (not @t296)))) % 45.94/46.24 (step @p517 :rule chain_m_resolution :premises (@p516 @p514 @p507 @p260) :args (@t288 (@list false true false) (@list @t291 @t295 @t296))) % 45.94/46.24 (step @p518 :rule cnf_and_pos :args (@t288 1)) % 45.94/46.24 (step @p519 :rule reordering :premises (@p518) :args ((or @t285 (not @t288)))) % 45.94/46.24 (step @p520 :rule chain_m_resolution :premises (@p519 @p517) :args (@t285 @t297 (@list @t288))) % 45.94/46.24 (step @p521 :rule skolemize :premises (@p520)) % 45.94/46.24 (step @p522 :rule bool-double-not-elim :args (@t422)) % 45.94/46.24 (step @p523 :rule refl :args (@t424)) % 45.94/46.24 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t424 (not @t423)))) % 45.94/46.24 (step @p525 :rule cnf_or_neg :args (@t424 1)) % 45.94/46.24 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 45.94/46.24 (step @p527 :rule reordering :premises (@p526) :args ((or @t422 @t424))) % 45.94/46.24 (step @p528 :rule chain_m_resolution :premises (@p527 @p521) :args (@t422 @t415 (@list @t424))) % 45.94/46.24 (step @p529 :rule instantiate :premises (@p14) :args (@t425)) % 45.94/46.24 (step @p530 :rule instantiate :premises (@p74) :args ((@list @t420))) % 45.94/46.24 (step @p531 :rule bool-double-not-elim :args (@t407)) % 45.94/46.24 (step @p532 :rule refl :args (@t409)) % 45.94/46.24 (step @p533 :rule nary_cong :premises (@p532 @p531) :args ((or @t409 (not @t408)))) % 45.94/46.24 (step @p534 :rule cnf_or_neg :args (@t409 0)) % 45.94/46.24 (step @p535 :rule eq_resolve :premises (@p534 @p533)) % 45.94/46.24 (step @p536 :rule reordering :premises (@p535) :args ((or @t407 @t409))) % 45.94/46.24 (step @p537 :rule cnf_or_neg :args (@t409 1)) % 45.94/46.24 (step @p538 :rule eq-symm :args (@t28 @t20)) % 45.94/46.24 (step @p539 :rule cong :premises (@p538) :args (@t29)) % 45.94/46.24 (step @p540 :rule eq_resolve :premises (@p18 @p539)) % 45.94/46.24 (step @p541 :rule instantiate :premises (@p540) :args ((@list tptp.loc1 @t404 @t403))) % 45.94/46.24 (step @p542 :rule eq-symm :args (@t66 @t65)) % 45.94/46.24 (step @p543 :rule cong :premises (@p542) :args (@t67)) % 45.94/46.24 (step @p544 :rule eq_resolve :premises (@p51 @p543)) % 45.94/46.24 (step @p545 :rule instantiate :premises (@p544) :args ((@list @t401))) % 45.94/46.24 (step @p546 :rule instantiate :premises (@p74) :args ((@list @t405))) % 45.94/46.24 (step @p547 :rule instantiate :premises (@p540) :args (@t425)) % 45.94/46.24 (step @p548 :rule eq-symm :args (@t35 @t31)) % 45.94/46.24 (step @p549 :rule cong :premises (@p548) :args (@t36)) % 45.94/46.24 (step @p550 :rule eq_resolve :premises (@p23 @p549)) % 45.94/46.24 (step @p551 :rule instantiate :premises (@p550) :args (@t425)) % 45.94/46.24 (assume-push @p649 @t407) % 45.94/46.24 (assume-push @p650 @t427) % 45.94/46.24 (assume-push @p651 @t429) % 45.94/46.24 (assume-push @p652 @t431) % 45.94/46.24 (assume-push @p653 @t422) % 45.94/46.24 (assume-push @p654 @t432) % 45.94/46.24 (assume-push @p655 @t434) % 45.94/46.24 (assume-push @p656 @t436) % 45.94/46.24 (assume-push @p657 @t422) % 45.94/46.24 (assume-push @p658 @t436) % 45.94/46.24 (assume-push @p659 @t434) % 45.94/46.24 (assume-push @p660 @t432) % 45.94/46.24 (assume-push @p661 @t407) % 45.94/46.24 (assume-push @p662 @t431) % 45.94/46.24 (assume-push @p663 @t427) % 45.94/46.24 (assume-push @p664 @t429) % 45.94/46.24 (step @p568 :rule symm :premises (@p528)) % 45.94/46.24 (step @p569 :rule cong :premises (@p568) :args (@t435)) % 45.94/46.24 (step @p570 :rule trans :premises (@p530 @p569)) % 45.94/46.24 (step @p571 :rule refl :args (tptp.loc1)) % 45.94/46.24 (step @p572 :rule cong :premises (@p571 @p570) :args (@t433)) % 45.94/46.24 (step @p573 :rule trans :premises (@p551 @p572)) % 45.94/46.24 (step @p574 :rule cong :premises (@p573) :args ((tptp.tb2t @t419))) % 45.94/46.24 (step @p575 :rule symm :premises (@p547)) % 45.94/46.24 (step @p576 :rule symm :premises (@p530)) % 45.94/46.24 (step @p577 :rule symm :premises (@p569)) % 45.94/46.24 (step @p578 :rule symm :premises (@p649)) % 45.94/46.24 (step @p579 :rule cong :premises (@p578) :args (@t430)) % 45.94/46.24 (step @p580 :rule trans :premises (@p546 @p579 @p577 @p576)) % 45.94/46.24 (step @p581 :rule cong :premises (@p571 @p580) :args (@t426)) % 45.94/46.24 (step @p582 :rule trans :premises (@p541 @p581 @p575)) % 45.94/46.24 (step @p583 :rule cong :premises (@p582) :args (@t428)) % 45.94/46.24 (step @p584 :rule trans :premises (@p545 @p583 @p574)) % 45.94/46.24 (step-pop @p665 :rule scope :premises (@p584)) % 45.94/46.24 (step-pop @p666 :rule scope :premises (@p665)) % 45.94/46.24 (step-pop @p667 :rule scope :premises (@p666)) % 45.94/46.24 (step-pop @p668 :rule scope :premises (@p667)) % 45.94/46.24 (step-pop @p669 :rule scope :premises (@p668)) % 45.94/46.24 (step-pop @p670 :rule scope :premises (@p669)) % 45.94/46.24 (step-pop @p671 :rule scope :premises (@p670)) % 45.94/46.24 (step-pop @p672 :rule scope :premises (@p671)) % 45.94/46.24 (step @p585 :rule process_scope :premises (@p672) :args (@t402)) % 45.94/46.24 (step @p594 :rule and_intro :premises (@p528 @p530 @p551 @p547 @p649 @p546 @p541 @p545)) % 45.94/46.24 (step @p595 :rule modus_ponens :premises (@p594 @p585)) % 45.94/46.24 (step-pop @p673 :rule scope :premises (@p595)) % 45.94/46.24 (step-pop @p674 :rule scope :premises (@p673)) % 45.94/46.24 (step-pop @p675 :rule scope :premises (@p674)) % 45.94/46.24 (step-pop @p676 :rule scope :premises (@p675)) % 45.94/46.24 (step-pop @p677 :rule scope :premises (@p676)) % 45.94/46.24 (step-pop @p678 :rule scope :premises (@p677)) % 45.94/46.24 (step-pop @p679 :rule scope :premises (@p678)) % 45.94/46.24 (step-pop @p680 :rule scope :premises (@p679)) % 45.94/46.24 (step @p596 :rule process_scope :premises (@p680) :args (@t402)) % 45.94/46.24 (step @p605 :rule implies_elim :premises (@p596)) % 45.94/46.24 (step @p606 :rule cnf_and_neg :args (@t437)) % 45.94/46.24 (step @p607 :rule resolution :premises (@p606 @p605) :args (true @t437)) % 45.94/46.24 (step @p608 :rule reordering :premises (@p607) :args ((or @t408 @t402 (not @t427) (not @t429) (not @t431) @t423 (not @t432) (not @t434) @t438))) % 45.94/46.24 (step @p609 :rule chain_m_resolution :premises (@p608 @p530 @p551 @p547 @p528 @p546 @p545 @p541 @p537 @p536) :args (@t409 (@list false false false false false false false true false) (@list @t436 @t434 @t432 @t422 @t431 @t429 @t427 @t402 @t407))) % 45.94/46.24 (step @p610 :rule cnf_or_neg :args (@t414 6)) % 45.94/46.24 (step @p611 :rule chain_m_resolution :premises (@p610 @p502) :args ((not @t411) @t415 @t416)) % 45.94/46.24 (step @p612 :rule refl :args (@t439)) % 45.94/46.24 (step @p613 :rule bool-double-not-elim :args (@t289)) % 45.94/46.24 (step @p614 :rule refl :args (@t411)) % 45.94/46.24 (step @p615 :rule nary_cong :premises (@p614 @p613 @p612) :args ((or @t411 (not @t410) @t439))) % 45.94/46.24 (step @p616 :rule cnf_and_neg :args (@t411)) % 45.94/46.24 (step @p617 :rule eq_resolve :premises (@p616 @p615)) % 45.94/46.24 (step @p618 :rule reordering :premises (@p617) :args ((or @t289 @t411 @t439))) % 45.94/46.24 (step @p619 :rule chain_m_resolution :premises (@p618 @p611 @p609) :args (@t289 (@list true false) (@list @t411 @t409))) % 45.94/46.24 (assume-push @p681 @t289) % 45.94/46.24 (assume-push @p682 @t441) % 45.94/46.24 (assume-push @p683 @t422) % 45.94/46.24 (assume-push @p684 @t436) % 45.94/46.24 (assume-push @p685 @t436) % 45.94/46.24 (assume-push @p686 @t422) % 45.94/46.24 (assume-push @p687 @t289) % 45.94/46.24 (assume-push @p688 @t441) % 45.94/46.24 (step @p576 :rule symm :premises (@p530)) % 45.94/46.24 (step @p568 :rule symm :premises (@p528)) % 45.94/46.24 (step @p569 :rule cong :premises (@p568) :args (@t435)) % 45.94/46.24 (step @p577 :rule symm :premises (@p569)) % 45.94/46.24 (step @p628 :rule cong :premises (@p681) :args (@t440)) % 45.94/46.24 (step @p629 :rule trans :premises (@p75 @p628 @p577 @p576)) % 45.94/46.24 (step-pop @p689 :rule scope :premises (@p629)) % 45.94/46.24 (step-pop @p690 :rule scope :premises (@p689)) % 45.94/46.24 (step-pop @p691 :rule scope :premises (@p690)) % 45.94/46.24 (step-pop @p692 :rule scope :premises (@p691)) % 45.94/46.24 (step @p630 :rule process_scope :premises (@p692) :args (@t442)) % 45.94/46.24 (step @p635 :rule and_intro :premises (@p530 @p528 @p681 @p75)) % 45.94/46.24 (step @p636 :rule modus_ponens :premises (@p635 @p630)) % 45.94/46.24 (step-pop @p693 :rule scope :premises (@p636)) % 45.94/46.24 (step-pop @p694 :rule scope :premises (@p693)) % 45.94/46.24 (step-pop @p695 :rule scope :premises (@p694)) % 45.94/46.24 (step-pop @p696 :rule scope :premises (@p695)) % 45.94/46.24 (step @p637 :rule process_scope :premises (@p696) :args (@t442)) % 45.94/46.24 (step @p642 :rule implies_elim :premises (@p637)) % 45.94/46.24 (step @p643 :rule cnf_and_neg :args (@t443)) % 45.94/46.24 (step @p644 :rule resolution :premises (@p643 @p642) :args (true @t443)) % 45.94/46.24 (step @p645 :rule reordering :premises (@p644) :args ((or @t410 (not @t441) @t423 @t442 @t438))) % 45.94/46.24 (step @p646 false :rule chain_m_resolution :premises (@p645 @p619 @p530 @p529 @p528 @p75) :args (false (@list false false true false false) (@list @t289 @t436 @t442 @t422 @t441))) % 45.94/46.24 ) % 45.94/46.24 % SZS output end Proof % 45.94/46.24 % cvc5 exiting %------------------------------------------------------------------------------