%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX062+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:07:04 AM UTC 2026 % Result : Theorem 0.42s 0.87s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX062+1 : TPTP v9.2.1. Released v9.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:54:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.56 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.87 % SZS status Theorem % 0.42/0.87 % SZS output start Proof % 0.42/0.87 ( % 0.42/0.87 (declare-sort $$unsorted 0) % 0.42/0.87 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.87 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.87 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.87 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 0.42/0.87 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.n_reverse_terminates (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.a_reverse_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.reverse_terminates (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.reverse_succeeds (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.reverse_fails (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.nil $$unsorted) % 0.42/0.87 (declare-const tptp.a_reverse_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.a_reverse_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.rev (-> $$unsorted $$unsorted)) % 0.42/0.87 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.87 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.n_reverse_fails (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.n_reverse_succeeds (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const |tptp.'0'| $$unsorted) % 0.42/0.87 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.87 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.42/0.87 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 0.42/0.87 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.42/0.87 (define @t1 () (@var "Xx3" $$unsorted)) % 0.42/0.87 (define @t2 () (tptp.s @t1)) % 0.42/0.87 (define @t3 () (@var "Xx5" $$unsorted)) % 0.42/0.87 (define @t4 () (@var "Xx4" $$unsorted)) % 0.42/0.87 (define @t5 () (tptp.cons @t4 @t3)) % 0.42/0.87 (define @t6 () (@list @t4 @t3)) % 0.42/0.87 (define @t7 () (@var "Xx7" $$unsorted)) % 0.42/0.87 (define @t8 () (@var "Xx6" $$unsorted)) % 0.42/0.87 (define @t9 () (tptp.s @t7)) % 0.42/0.87 (define @t10 () (@list @t8 @t7)) % 0.42/0.87 (define @t11 () (@var "Xx8" $$unsorted)) % 0.42/0.87 (define @t12 () (@var "Xx11" $$unsorted)) % 0.42/0.87 (define @t13 () (@var "Xx10" $$unsorted)) % 0.42/0.87 (define @t14 () (@var "Xx9" $$unsorted)) % 0.42/0.87 (define @t15 () (@var "Xx13" $$unsorted)) % 0.42/0.87 (define @t16 () (@var "Xx12" $$unsorted)) % 0.42/0.87 (define @t17 () (@var "Xx17" $$unsorted)) % 0.42/0.87 (define @t18 () (@var "Xx15" $$unsorted)) % 0.42/0.87 (define @t19 () (@var "Xx16" $$unsorted)) % 0.42/0.87 (define @t20 () (@var "Xx14" $$unsorted)) % 0.42/0.87 (define @t21 () (@var "Xx20" $$unsorted)) % 0.42/0.87 (define @t22 () (@var "Xx18" $$unsorted)) % 0.42/0.87 (define @t23 () (@var "Xx21" $$unsorted)) % 0.42/0.87 (define @t24 () (@var "Xx19" $$unsorted)) % 0.42/0.87 (define @t25 () (@var "Xx22" $$unsorted)) % 0.42/0.87 (define @t26 () (@var "Xx24" $$unsorted)) % 0.42/0.87 (define @t27 () (@var "Xx23" $$unsorted)) % 0.42/0.87 (define @t28 () (@var "Xx27" $$unsorted)) % 0.42/0.87 (define @t29 () (@var "Xx26" $$unsorted)) % 0.42/0.87 (define @t30 () (@var "Xx25" $$unsorted)) % 0.42/0.87 (define @t31 () (tptp.a_reverse_fails @t30 @t29 @t28)) % 0.42/0.87 (define @t32 () (tptp.a_reverse_succeeds @t30 @t29 @t28)) % 0.42/0.87 (define @t33 () (@list @t30 @t29 @t28)) % 0.42/0.87 (define @t34 () (@var "Xx29" $$unsorted)) % 0.42/0.87 (define @t35 () (@var "Xx28" $$unsorted)) % 0.42/0.87 (define @t36 () (tptp.reverse_fails @t35 @t34)) % 0.42/0.87 (define @t37 () (tptp.reverse_succeeds @t35 @t34)) % 0.42/0.87 (define @t38 () (@list @t35 @t34)) % 0.42/0.87 (define @t39 () (@var "Xx31" $$unsorted)) % 0.42/0.87 (define @t40 () (@var "Xx30" $$unsorted)) % 0.42/0.87 (define @t41 () (tptp.n_reverse_fails @t40 @t39)) % 0.42/0.87 (define @t42 () (tptp.n_reverse_succeeds @t40 @t39)) % 0.42/0.87 (define @t43 () (@list @t40 @t39)) % 0.42/0.87 (define @t44 () (@var "Xx34" $$unsorted)) % 0.42/0.87 (define @t45 () (@var "Xx33" $$unsorted)) % 0.42/0.87 (define @t46 () (@var "Xx32" $$unsorted)) % 0.42/0.87 (define @t47 () (tptp.member2_fails @t46 @t45 @t44)) % 0.42/0.87 (define @t48 () (tptp.member2_succeeds @t46 @t45 @t44)) % 0.42/0.87 (define @t49 () (@list @t46 @t45 @t44)) % 0.42/0.87 (define @t50 () (@var "Xx37" $$unsorted)) % 0.42/0.87 (define @t51 () (@var "Xx36" $$unsorted)) % 0.42/0.87 (define @t52 () (@var "Xx35" $$unsorted)) % 0.42/0.87 (define @t53 () (tptp.occ_fails @t52 @t51 @t50)) % 0.42/0.87 (define @t54 () (tptp.occ_succeeds @t52 @t51 @t50)) % 0.42/0.87 (define @t55 () (@list @t52 @t51 @t50)) % 0.42/0.87 (define @t56 () (@var "Xx39" $$unsorted)) % 0.42/0.87 (define @t57 () (@var "Xx38" $$unsorted)) % 0.42/0.87 (define @t58 () (tptp.not_same_occ_fails @t57 @t56)) % 0.42/0.87 (define @t59 () (tptp.not_same_occ_succeeds @t57 @t56)) % 0.42/0.87 (define @t60 () (@list @t57 @t56)) % 0.42/0.87 (define @t61 () (@var "Xx41" $$unsorted)) % 0.42/0.87 (define @t62 () (@var "Xx40" $$unsorted)) % 0.42/0.87 (define @t63 () (tptp.same_occ_fails @t62 @t61)) % 0.42/0.87 (define @t64 () (tptp.same_occ_succeeds @t62 @t61)) % 0.42/0.87 (define @t65 () (@list @t62 @t61)) % 0.42/0.87 (define @t66 () (@var "Xx43" $$unsorted)) % 0.42/0.87 (define @t67 () (@var "Xx42" $$unsorted)) % 0.42/0.87 (define @t68 () (tptp.permutation_fails @t67 @t66)) % 0.42/0.87 (define @t69 () (tptp.permutation_succeeds @t67 @t66)) % 0.42/0.87 (define @t70 () (@list @t67 @t66)) % 0.42/0.87 (define @t71 () (@var "Xx46" $$unsorted)) % 0.42/0.87 (define @t72 () (@var "Xx45" $$unsorted)) % 0.42/0.87 (define @t73 () (@var "Xx44" $$unsorted)) % 0.42/0.87 (define @t74 () (tptp.delete_fails @t73 @t72 @t71)) % 0.42/0.87 (define @t75 () (tptp.delete_succeeds @t73 @t72 @t71)) % 0.42/0.87 (define @t76 () (@list @t73 @t72 @t71)) % 0.42/0.87 (define @t77 () (@var "Xx48" $$unsorted)) % 0.42/0.87 (define @t78 () (@var "Xx47" $$unsorted)) % 0.42/0.87 (define @t79 () (tptp.length_fails @t78 @t77)) % 0.42/0.87 (define @t80 () (tptp.length_succeeds @t78 @t77)) % 0.42/0.87 (define @t81 () (@list @t78 @t77)) % 0.42/0.87 (define @t82 () (@var "Xx51" $$unsorted)) % 0.42/0.87 (define @t83 () (@var "Xx50" $$unsorted)) % 0.42/0.87 (define @t84 () (@var "Xx49" $$unsorted)) % 0.42/0.87 (define @t85 () (tptp.append_fails @t84 @t83 @t82)) % 0.42/0.87 (define @t86 () (tptp.append_succeeds @t84 @t83 @t82)) % 0.42/0.87 (define @t87 () (@list @t84 @t83 @t82)) % 0.42/0.87 (define @t88 () (@var "Xx53" $$unsorted)) % 0.42/0.87 (define @t89 () (@var "Xx52" $$unsorted)) % 0.42/0.87 (define @t90 () (tptp.member_fails @t89 @t88)) % 0.42/0.87 (define @t91 () (tptp.member_succeeds @t89 @t88)) % 0.42/0.87 (define @t92 () (@list @t89 @t88)) % 0.42/0.87 (define @t93 () (@var "Xx54" $$unsorted)) % 0.42/0.87 (define @t94 () (tptp.list_fails @t93)) % 0.42/0.87 (define @t95 () (tptp.list_succeeds @t93)) % 0.42/0.87 (define @t96 () (@list @t93)) % 0.42/0.87 (define @t97 () (@var "Xx55" $$unsorted)) % 0.42/0.87 (define @t98 () (tptp.nat_list_fails @t97)) % 0.42/0.87 (define @t99 () (tptp.nat_list_succeeds @t97)) % 0.42/0.87 (define @t100 () (@list @t97)) % 0.42/0.87 (define @t101 () (@var "Xx58" $$unsorted)) % 0.42/0.87 (define @t102 () (@var "Xx57" $$unsorted)) % 0.42/0.87 (define @t103 () (@var "Xx56" $$unsorted)) % 0.42/0.87 (define @t104 () (tptp.times_fails @t103 @t102 @t101)) % 0.42/0.87 (define @t105 () (tptp.times_succeeds @t103 @t102 @t101)) % 0.42/0.87 (define @t106 () (@list @t103 @t102 @t101)) % 0.42/0.87 (define @t107 () (@var "Xx61" $$unsorted)) % 0.42/0.87 (define @t108 () (@var "Xx60" $$unsorted)) % 0.42/0.87 (define @t109 () (@var "Xx59" $$unsorted)) % 0.42/0.87 (define @t110 () (tptp.plus_fails @t109 @t108 @t107)) % 0.42/0.87 (define @t111 () (tptp.plus_succeeds @t109 @t108 @t107)) % 0.42/0.87 (define @t112 () (@list @t109 @t108 @t107)) % 0.42/0.87 (define @t113 () (@var "Xx63" $$unsorted)) % 0.42/0.87 (define @t114 () (@var "Xx62" $$unsorted)) % 0.42/0.87 (define @t115 () (|tptp.'@=<_fails'| @t114 @t113)) % 0.42/0.87 (define @t116 () (|tptp.'@=<_succeeds'| @t114 @t113)) % 0.42/0.87 (define @t117 () (@list @t114 @t113)) % 0.42/0.87 (define @t118 () (@var "Xx65" $$unsorted)) % 0.42/0.87 (define @t119 () (@var "Xx64" $$unsorted)) % 0.42/0.87 (define @t120 () (|tptp.'@<_fails'| @t119 @t118)) % 0.42/0.87 (define @t121 () (|tptp.'@<_succeeds'| @t119 @t118)) % 0.42/0.87 (define @t122 () (@list @t119 @t118)) % 0.42/0.87 (define @t123 () (@var "Xx66" $$unsorted)) % 0.42/0.87 (define @t124 () (tptp.nat_fails @t123)) % 0.42/0.87 (define @t125 () (tptp.nat_succeeds @t123)) % 0.42/0.87 (define @t126 () (@list @t123)) % 0.42/0.87 (define @t127 () (@var "Xx2" $$unsorted)) % 0.42/0.87 (define @t128 () (= @t1 @t127)) % 0.42/0.87 (define @t129 () (@var "Xx1" $$unsorted)) % 0.42/0.87 (define @t130 () (= @t129 tptp.nil)) % 0.42/0.87 (define @t131 () (and @t130 @t128)) % 0.42/0.87 (define @t132 () (tptp.cons @t4 @t127)) % 0.42/0.87 (define @t133 () (= @t129 @t5)) % 0.42/0.87 (define @t134 () (@list @t129 @t127 @t1)) % 0.42/0.87 (define @t135 () (not @t128)) % 0.42/0.87 (define @t136 () (not @t130)) % 0.42/0.87 (define @t137 () (or @t136 @t135)) % 0.42/0.87 (define @t138 () (not @t133)) % 0.42/0.87 (define @t139 () (or @t136 true)) % 0.42/0.87 (define @t140 () (@list @t129 @t127)) % 0.42/0.87 (define @t141 () (= @t127 tptp.nil)) % 0.42/0.87 (define @t142 () (and @t130 @t141)) % 0.42/0.87 (define @t143 () (tptp.cons @t1 tptp.nil)) % 0.42/0.87 (define @t144 () (tptp.cons @t1 @t4)) % 0.42/0.87 (define @t145 () (= @t129 @t144)) % 0.42/0.87 (define @t146 () (@list @t1 @t4 @t3)) % 0.42/0.87 (define @t147 () (not @t141)) % 0.42/0.87 (define @t148 () (or @t136 @t147)) % 0.42/0.87 (define @t149 () (tptp.n_reverse_fails @t4 @t3)) % 0.42/0.87 (define @t150 () (not @t145)) % 0.42/0.87 (define @t151 () (tptp.member_succeeds @t129 @t127)) % 0.42/0.87 (define @t152 () (tptp.member_fails @t129 @t127)) % 0.42/0.87 (define @t153 () (tptp.member_terminates @t129 @t127)) % 0.42/0.87 (define @t154 () (= @t1 |tptp.'0'|)) % 0.42/0.87 (define @t155 () (= @t1 @t9)) % 0.42/0.87 (define @t156 () (= @t127 (tptp.cons @t129 @t8))) % 0.42/0.87 (define @t157 () (= @t129 @t4)) % 0.42/0.87 (define @t158 () (= @t127 @t5)) % 0.42/0.87 (define @t159 () (not @t154)) % 0.42/0.87 (define @t160 () (not @t155)) % 0.42/0.87 (define @t161 () (not @t156)) % 0.42/0.87 (define @t162 () (not @t158)) % 0.42/0.87 (define @t163 () (tptp.gr @t4)) % 0.42/0.87 (define @t164 () (tptp.gr @t129)) % 0.42/0.87 (define @t165 () (= @t4 @t3)) % 0.42/0.87 (define @t166 () (tptp.not_same_occ_succeeds @t129 @t127)) % 0.42/0.87 (define @t167 () (tptp.occ_fails @t1 @t127 @t3)) % 0.42/0.87 (define @t168 () (tptp.occ_fails @t1 @t129 @t4)) % 0.42/0.87 (define @t169 () (tptp.member2_fails @t1 @t129 @t127)) % 0.42/0.87 (define @t170 () (tptp.not_same_occ_fails @t129 @t127)) % 0.42/0.87 (define @t171 () (tptp.not_same_occ_terminates @t129 @t127)) % 0.42/0.87 (define @t172 () (= @t127 @t144)) % 0.42/0.87 (define @t173 () (tptp.delete_fails @t1 @t129 @t3)) % 0.42/0.87 (define @t174 () (not @t172)) % 0.42/0.87 (define @t175 () (= @t127 (tptp.cons @t129 @t1))) % 0.42/0.87 (define @t176 () (= @t1 (tptp.cons @t4 @t8))) % 0.42/0.87 (define @t177 () (@list @t4 @t3 @t8)) % 0.42/0.87 (define @t178 () (not @t176)) % 0.42/0.87 (define @t179 () (= @t127 |tptp.'0'|)) % 0.42/0.87 (define @t180 () (tptp.s @t3)) % 0.42/0.87 (define @t181 () (= @t127 @t180)) % 0.42/0.87 (define @t182 () (not @t181)) % 0.42/0.87 (define @t183 () (= @t127 (tptp.cons @t129 @t3))) % 0.42/0.87 (define @t184 () (@list @t3)) % 0.42/0.87 (define @t185 () (@list @t1 @t4)) % 0.42/0.87 (define @t186 () (tptp.list_succeeds @t1)) % 0.42/0.87 (define @t187 () (tptp.cons @t127 @t1)) % 0.42/0.87 (define @t188 () (= @t129 @t187)) % 0.42/0.87 (define @t189 () (@list @t127 @t1)) % 0.42/0.87 (define @t190 () (@list @t129)) % 0.42/0.87 (define @t191 () (not @t188)) % 0.42/0.87 (define @t192 () (tptp.nat_succeeds @t127)) % 0.42/0.87 (define @t193 () (tptp.nat_fails @t127)) % 0.42/0.87 (define @t194 () (tptp.nat_terminates @t127)) % 0.42/0.87 (define @t195 () (= @t129 |tptp.'0'|)) % 0.42/0.87 (define @t196 () (tptp.s @t4)) % 0.42/0.87 (define @t197 () (= @t129 @t196)) % 0.42/0.87 (define @t198 () (not @t195)) % 0.42/0.87 (define @t199 () (tptp.times_fails @t4 @t127 @t3)) % 0.42/0.87 (define @t200 () (not @t197)) % 0.42/0.87 (define @t201 () (or @t198 true)) % 0.42/0.87 (define @t202 () (= @t1 @t180)) % 0.42/0.87 (define @t203 () (not @t202)) % 0.42/0.87 (define @t204 () (= @t127 @t196)) % 0.42/0.87 (define @t205 () (= @t129 @t2)) % 0.42/0.87 (define @t206 () (not @t204)) % 0.42/0.87 (define @t207 () (not @t205)) % 0.42/0.87 (define @t208 () (= @t129 (tptp.s @t127))) % 0.42/0.87 (define @t209 () (@list @t127)) % 0.42/0.87 (define @t210 () (tptp.nat_succeeds @t129)) % 0.42/0.87 (define @t211 () (not @t208)) % 0.42/0.87 (define @t212 () (@var "Xx" $$unsorted)) % 0.42/0.87 (define @t213 () (tptp.nat_succeeds @t212)) % 0.42/0.87 (define @t214 () (@list @t212)) % 0.42/0.87 (define @t215 () (tptp.gr @t212)) % 0.42/0.87 (define @t216 () (@var "Xz" $$unsorted)) % 0.42/0.87 (define @t217 () (@var "Xy" $$unsorted)) % 0.42/0.87 (define @t218 () (tptp.plus_terminates @t212 @t217 @t216)) % 0.42/0.87 (define @t219 () (@list @t212 @t217 @t216)) % 0.42/0.87 (define @t220 () (tptp.nat_succeeds @t216)) % 0.42/0.87 (define @t221 () (tptp.plus_succeeds @t212 @t217 @t216)) % 0.42/0.87 (define @t222 () (tptp.nat_succeeds @t217)) % 0.42/0.87 (define @t223 () (tptp.gr @t216)) % 0.42/0.87 (define @t224 () (tptp.gr @t217)) % 0.42/0.87 (define @t225 () (@list @t216)) % 0.42/0.87 (define @t226 () (@list @t212 @t217)) % 0.42/0.87 (define @t227 () (@var "Xz2" $$unsorted)) % 0.42/0.87 (define @t228 () (@var "Xz1" $$unsorted)) % 0.42/0.87 (define @t229 () (= @t228 @t227)) % 0.42/0.87 (define @t230 () (@list @t212 @t217 @t228 @t227)) % 0.42/0.87 (define @t231 () (@list @t217)) % 0.42/0.87 (define @t232 () (|tptp.'@+'| @t212 @t217)) % 0.42/0.87 (define @t233 () (tptp.s @t212)) % 0.42/0.87 (define @t234 () (|tptp.'@+'| @t233 @t217)) % 0.42/0.87 (define @t235 () (and @t213 @t222)) % 0.42/0.87 (define @t236 () (|tptp.'@+'| @t217 @t216)) % 0.42/0.87 (define @t237 () (and @t213 @t222 @t220)) % 0.42/0.87 (define @t238 () (tptp.s @t217)) % 0.42/0.87 (define @t239 () (|tptp.'@+'| @t212 @t238)) % 0.42/0.87 (define @t240 () (|tptp.'@+'| @t217 @t212)) % 0.42/0.87 (define @t241 () (|tptp.'@+'| @t212 @t216)) % 0.42/0.87 (define @t242 () (tptp.times_succeeds @t212 @t217 @t216)) % 0.42/0.87 (define @t243 () (|tptp.'@*'| @t212 @t217)) % 0.42/0.87 (define @t244 () (|tptp.'@*'| @t233 @t217)) % 0.42/0.87 (define @t245 () (|tptp.'@*'| @t217 @t216)) % 0.42/0.87 (define @t246 () (|tptp.'@*'| @t212 @t216)) % 0.42/0.87 (define @t247 () (|tptp.'@*'| @t217 @t212)) % 0.42/0.87 (define @t248 () (tptp.s |tptp.'0'|)) % 0.42/0.87 (define @t249 () (|tptp.'@<_terminates'| @t212 @t217)) % 0.42/0.87 (define @t250 () (|tptp.'@<_succeeds'| @t212 @t217)) % 0.42/0.87 (define @t251 () (tptp.s @t216)) % 0.42/0.87 (define @t252 () (|tptp.'@<_succeeds'| @t212 @t216)) % 0.42/0.87 (define @t253 () (|tptp.'@<_succeeds'| @t212 @t238)) % 0.42/0.87 (define @t254 () (|tptp.'@<_succeeds'| @t217 @t216)) % 0.42/0.87 (define @t255 () (= @t212 @t217)) % 0.42/0.87 (define @t256 () (or @t250 @t255)) % 0.42/0.87 (define @t257 () (not (= @t212 |tptp.'0'|))) % 0.42/0.87 (define @t258 () (|tptp.'@=<_succeeds'| @t212 @t217)) % 0.42/0.87 (define @t259 () (|tptp.'@=<_succeeds'| @t217 @t212)) % 0.42/0.87 (define @t260 () (|tptp.'@=<_succeeds'| @t217 @t216)) % 0.42/0.87 (define @t261 () (|tptp.'@<_succeeds'| @t232 @t241)) % 0.42/0.87 (define @t262 () (|tptp.'@<_succeeds'| @t241 @t236)) % 0.42/0.87 (define @t263 () (|tptp.'@=<_succeeds'| @t232 @t241)) % 0.42/0.87 (define @t264 () (and @t258 @t222 @t220)) % 0.42/0.87 (define @t265 () (@var "Xy2" $$unsorted)) % 0.42/0.87 (define @t266 () (@var "Xy1" $$unsorted)) % 0.42/0.87 (define @t267 () (|tptp.'@+'| @t266 @t265)) % 0.42/0.87 (define @t268 () (|tptp.'@+'| @t129 @t127)) % 0.42/0.87 (define @t269 () (tptp.nat_succeeds @t266)) % 0.42/0.87 (define @t270 () (|tptp.'@=<_succeeds'| @t127 @t265)) % 0.42/0.87 (define @t271 () (|tptp.'@=<_succeeds'| @t129 @t266)) % 0.42/0.87 (define @t272 () (@list @t129 @t127 @t266 @t265)) % 0.42/0.87 (define @t273 () (|tptp.'@<_succeeds'| @t268 @t267)) % 0.42/0.87 (define @t274 () (|tptp.'@<_succeeds'| @t129 @t266)) % 0.42/0.87 (define @t275 () (|tptp.'@<_succeeds'| @t127 @t265)) % 0.42/0.87 (define @t276 () (tptp.cons @t212 tptp.nil)) % 0.42/0.87 (define @t277 () (tptp.cons @t217 tptp.nil)) % 0.42/0.87 (define @t278 () (tptp.cons @t212 @t277)) % 0.42/0.87 (define @t279 () (tptp.cons @t212 (tptp.cons @t217 (tptp.cons @t216 tptp.nil)))) % 0.42/0.87 (define @t280 () (@var "Xl" $$unsorted)) % 0.42/0.87 (define @t281 () (tptp.list_succeeds @t280)) % 0.42/0.87 (define @t282 () (tptp.cons @t212 @t280)) % 0.42/0.87 (define @t283 () (@list @t212 @t280)) % 0.42/0.87 (define @t284 () (@list @t280)) % 0.42/0.87 (define @t285 () (tptp.member_fails @t212 @t280)) % 0.42/0.87 (define @t286 () (tptp.member_succeeds @t212 @t280)) % 0.42/0.87 (define @t287 () (tptp.gr @t280)) % 0.42/0.87 (define @t288 () (not @t255)) % 0.42/0.87 (define @t289 () (tptp.cons @t217 @t280)) % 0.42/0.87 (define @t290 () (@var "Xl1" $$unsorted)) % 0.42/0.87 (define @t291 () (tptp.list_succeeds @t290)) % 0.42/0.87 (define @t292 () (@var "Xl3" $$unsorted)) % 0.42/0.87 (define @t293 () (@var "Xl2" $$unsorted)) % 0.42/0.87 (define @t294 () (tptp.append_succeeds @t290 @t293 @t292)) % 0.42/0.87 (define @t295 () (@list @t290 @t293 @t292)) % 0.42/0.87 (define @t296 () (tptp.list_succeeds @t292)) % 0.42/0.87 (define @t297 () (tptp.list_succeeds @t293)) % 0.42/0.87 (define @t298 () (and @t294 @t296)) % 0.42/0.87 (define @t299 () (and @t291 @t297)) % 0.42/0.87 (define @t300 () (tptp.append_terminates @t290 @t293 @t292)) % 0.42/0.87 (define @t301 () (tptp.gr @t292)) % 0.42/0.87 (define @t302 () (tptp.gr @t293)) % 0.42/0.87 (define @t303 () (tptp.gr @t290)) % 0.42/0.87 (define @t304 () (and @t303 @t302)) % 0.42/0.87 (define @t305 () (@list @t292)) % 0.42/0.87 (define @t306 () (@list @t290 @t293)) % 0.42/0.87 (define @t307 () (@var "Xl4" $$unsorted)) % 0.42/0.87 (define @t308 () (@list @t290 @t293 @t292 @t307)) % 0.42/0.87 (define @t309 () (|tptp.'**'| tptp.nil @t280)) % 0.42/0.87 (define @t310 () (forall @t284 (= @t309 @t280))) % 0.42/0.87 (define @t311 () (|tptp.'**'| @t290 @t293)) % 0.42/0.87 (define @t312 () (tptp.cons @t212 @t290)) % 0.42/0.87 (define @t313 () (= (|tptp.'**'| @t312 @t293) (tptp.cons @t212 @t311))) % 0.42/0.87 (define @t314 () (@list @t212 @t290 @t293)) % 0.42/0.87 (define @t315 () (forall @t314 (=> @t291 @t313))) % 0.42/0.87 (define @t316 () (tptp.list_succeeds @t311)) % 0.42/0.87 (define @t317 () (forall @t306 (=> @t299 @t316))) % 0.42/0.87 (define @t318 () (tptp.gr @t311)) % 0.42/0.87 (define @t319 () (|tptp.'**'| @t293 @t292)) % 0.42/0.87 (define @t320 () (@var "Xn" $$unsorted)) % 0.42/0.87 (define @t321 () (tptp.nat_succeeds @t320)) % 0.42/0.87 (define @t322 () (and @t281 @t321)) % 0.42/0.87 (define @t323 () (tptp.length_succeeds @t280 @t320)) % 0.42/0.87 (define @t324 () (@list @t280 @t320)) % 0.42/0.87 (define @t325 () (tptp.gr @t320)) % 0.42/0.87 (define @t326 () (@list @t320)) % 0.42/0.87 (define @t327 () (@var "Xm" $$unsorted)) % 0.42/0.87 (define @t328 () (= @t327 @t320)) % 0.42/0.87 (define @t329 () (tptp.lh @t280)) % 0.42/0.87 (define @t330 () (tptp.lh @t282)) % 0.42/0.87 (define @t331 () (= @t280 tptp.nil)) % 0.42/0.87 (define @t332 () (tptp.cons @t212 @t293)) % 0.42/0.87 (define @t333 () (tptp.s @t320)) % 0.42/0.87 (define @t334 () (tptp.lh @t290)) % 0.42/0.87 (define @t335 () (tptp.lh @t293)) % 0.42/0.87 (define @t336 () (|tptp.'@+'| @t334 @t335)) % 0.42/0.87 (define @t337 () (tptp.lh @t311)) % 0.42/0.87 (define @t338 () (tptp.lh @t292)) % 0.42/0.87 (define @t339 () (@var "Xi" $$unsorted)) % 0.42/0.87 (define @t340 () (tptp.cons @t212 @t339)) % 0.42/0.87 (define @t341 () (@var "Xk" $$unsorted)) % 0.42/0.87 (define @t342 () (@var "Xj" $$unsorted)) % 0.42/0.87 (define @t343 () (tptp.sub @t339 @t342)) % 0.42/0.87 (define @t344 () (@list @t212 @t339 @t342)) % 0.42/0.87 (define @t345 () (tptp.append_succeeds @t290 @t332 @t292)) % 0.42/0.87 (define @t346 () (tptp.member_succeeds @t212 @t292)) % 0.42/0.87 (define @t347 () (tptp.member_succeeds @t212 @t290)) % 0.42/0.87 (define @t348 () (@list @t212 @t290 @t293 @t292)) % 0.42/0.87 (define @t349 () (tptp.member_succeeds @t212 @t293)) % 0.42/0.87 (define @t350 () (tptp.member_succeeds @t212 @t311)) % 0.42/0.87 (define @t351 () (or @t347 @t349)) % 0.42/0.87 (define @t352 () (tptp.nat_list_succeeds @t280)) % 0.42/0.87 (define @t353 () (|tptp.'@<_succeeds'| @t336 @t320)) % 0.42/0.87 (define @t354 () (tptp.delete_terminates @t212 @t290 @t293)) % 0.42/0.87 (define @t355 () (tptp.delete_succeeds @t212 @t290 @t293)) % 0.42/0.87 (define @t356 () (and @t355 @t291)) % 0.42/0.87 (define @t357 () (|tptp.'**'| @t292 @t307)) % 0.42/0.87 (define @t358 () (tptp.nat_list_succeeds @t293)) % 0.42/0.87 (define @t359 () (tptp.nat_list_succeeds @t290)) % 0.42/0.87 (define @t360 () (tptp.member_succeeds @t217 @t293)) % 0.42/0.87 (define @t361 () (tptp.member_succeeds @t217 @t290)) % 0.42/0.87 (define @t362 () (@list @t212 @t217 @t290 @t293)) % 0.42/0.87 (define @t363 () (@list @t293)) % 0.42/0.87 (define @t364 () (exists @t363 @t355)) % 0.42/0.87 (define @t365 () (tptp.permutation_succeeds @t290 @t293)) % 0.42/0.87 (define @t366 () (tptp.permutation_terminates @t290 @t293)) % 0.42/0.87 (define @t367 () (@list @t212 @t280 @t320)) % 0.42/0.87 (define @t368 () (tptp.occ_succeeds @t212 @t280 @t320)) % 0.42/0.87 (define @t369 () (and @t291 @t297 @t303 @t302)) % 0.42/0.87 (define @t370 () (tptp.occ_succeeds @t212 @t280 @t327)) % 0.42/0.87 (define @t371 () (tptp.occ @t212 @t280)) % 0.42/0.87 (define @t372 () (tptp.occ @t212 @t293)) % 0.42/0.87 (define @t373 () (tptp.occ @t212 @t290)) % 0.42/0.87 (define @t374 () (forall @t214 (= @t373 @t372))) % 0.42/0.87 (define @t375 () (tptp.same_occ_succeeds @t290 @t293)) % 0.42/0.87 (define @t376 () (= @t371 |tptp.'0'|)) % 0.42/0.87 (define @t377 () (@list @t290)) % 0.42/0.87 (define @t378 () (and @t291 @t297 @t375)) % 0.42/0.87 (define @t379 () (tptp.permutation_succeeds @t290 @t292)) % 0.42/0.87 (define @t380 () (= @t371 @t333)) % 0.42/0.87 (define @t381 () (tptp.n_reverse_succeeds @t290 @t293)) % 0.42/0.87 (define @t382 () (tptp.rev @t290)) % 0.42/0.87 (define @t383 () (tptp.a_reverse_succeeds @t290 @t293 @t292)) % 0.42/0.87 (define @t384 () (= @t293 @t292)) % 0.42/0.87 (define @t385 () (tptp.n_reverse_succeeds @t290 @t292)) % 0.42/0.87 (define @t386 () (tptp.rev tptp.nil)) % 0.42/0.87 (define @t387 () (tptp.rev @t280)) % 0.42/0.87 (define @t388 () (tptp.list_succeeds @t387)) % 0.42/0.87 (define @t389 () (forall @t284 (=> @t281 @t388))) % 0.42/0.87 (define @t390 () (= (tptp.rev @t282) (|tptp.'**'| @t387 @t276))) % 0.42/0.87 (define @t391 () (forall @t283 (=> @t281 @t390))) % 0.42/0.87 (define @t392 () (tptp.rev @t276)) % 0.42/0.87 (define @t393 () (forall @t214 (= @t392 @t276))) % 0.42/0.87 (define @t394 () (tptp.cons @t217 @t276)) % 0.42/0.87 (define @t395 () (= (tptp.rev (|tptp.'**'| @t280 @t277)) (tptp.cons @t217 @t387))) % 0.42/0.87 (define @t396 () (forall @t231 @t395)) % 0.42/0.87 (define @t397 () (forall @t284 (=> @t281 @t396))) % 0.42/0.87 (define @t398 () (forall @t231 (= (tptp.rev (|tptp.'**'| @t1 @t277)) (tptp.cons @t217 (tptp.rev @t1))))) % 0.42/0.87 (define @t399 () (and (= @t280 @t187) @t186 @t398)) % 0.42/0.87 (define @t400 () (exists @t189 @t399)) % 0.42/0.87 (define @t401 () (or @t400 @t331)) % 0.42/0.87 (define @t402 () (=> @t401 @t396)) % 0.42/0.87 (define @t403 () (forall @t284 @t402)) % 0.42/0.87 (define @t404 () (=> @t403 @t397)) % 0.42/0.87 (define @t405 () (@list @t280 @t217)) % 0.42/0.87 (define @t406 () (forall @t405 (=> @t281 @t395))) % 0.42/0.87 (define @t407 () (not @t406)) % 0.42/0.87 (define @t408 () (@var "BOUND_VARIABLE_11385" $$unsorted)) % 0.42/0.87 (define @t409 () (tptp.cons @t408 tptp.nil)) % 0.42/0.87 (define @t410 () (= (tptp.rev (|tptp.'**'| tptp.nil @t409)) (tptp.cons @t408 @t386))) % 0.42/0.87 (define @t411 () (@list @t408)) % 0.42/0.87 (define @t412 () (forall @t411 @t410)) % 0.42/0.87 (define @t413 () (@quantifiers_skolemize @t412 0)) % 0.42/0.87 (define @t414 () (tptp.cons @t413 tptp.nil)) % 0.42/0.87 (define @t415 () (tptp.cons @t413 @t386)) % 0.42/0.87 (define @t416 () (tptp.rev (|tptp.'**'| tptp.nil @t414))) % 0.42/0.87 (define @t417 () (= @t416 @t415)) % 0.42/0.87 (define @t418 () (not @t417)) % 0.42/0.87 (define @t419 () (not @t412)) % 0.42/0.87 (define @t420 () (@list false)) % 0.42/0.87 (define @t421 () (@var "BOUND_VARIABLE_14390" $$unsorted)) % 0.42/0.87 (define @t422 () (@var "BOUND_VARIABLE_14389" $$unsorted)) % 0.42/0.87 (define @t423 () (@list @t422 @t421)) % 0.42/0.87 (define @t424 () (@var "BOUND_VARIABLE_11428" $$unsorted)) % 0.42/0.87 (define @t425 () (= (tptp.rev (|tptp.'**'| @t280 (tptp.cons @t424 tptp.nil))) (tptp.cons @t424 @t387))) % 0.42/0.87 (define @t426 () (not @t281)) % 0.42/0.87 (define @t427 () (or @t426 @t425)) % 0.42/0.87 (define @t428 () (forall (@list @t280 @t424) @t427)) % 0.42/0.87 (define @t429 () (not @t428)) % 0.42/0.87 (define @t430 () (forall @t405 (or @t426 @t395))) % 0.42/0.87 (define @t431 () (@list true)) % 0.42/0.87 (define @t432 () (@list @t424)) % 0.42/0.87 (define @t433 () (forall @t432 @t427)) % 0.42/0.87 (define @t434 () (forall @t432 @t425)) % 0.42/0.87 (define @t435 () (@list @t217)) % 0.42/0.87 (define @t436 () (or @t426 @t434)) % 0.42/0.87 (define @t437 () (not (= tptp.nil tptp.nil))) % 0.42/0.87 (define @t438 () (or @t437 @t410)) % 0.42/0.87 (define @t439 () (@var "BOUND_VARIABLE_11379" $$unsorted)) % 0.42/0.87 (define @t440 () (= (tptp.rev (|tptp.'**'| @t439 @t409)) (tptp.cons @t408 (tptp.rev @t439)))) % 0.42/0.87 (define @t441 () (not (= tptp.nil @t439))) % 0.42/0.87 (define @t442 () (@list @t439)) % 0.42/0.87 (define @t443 () (or @t441 @t441 @t440)) % 0.42/0.87 (define @t444 () (or @t441 @t440)) % 0.42/0.87 (define @t445 () (forall @t442 @t444)) % 0.42/0.87 (define @t446 () (forall @t411 @t445)) % 0.42/0.87 (define @t447 () (forall (@list @t408 @t439) @t444)) % 0.42/0.87 (define @t448 () (forall (@list @t439 @t408) @t444)) % 0.42/0.87 (define @t449 () (@var "BOUND_VARIABLE_11383" $$unsorted)) % 0.42/0.87 (define @t450 () (@var "BOUND_VARIABLE_11381" $$unsorted)) % 0.42/0.87 (define @t451 () (forall (@list @t439 @t450 @t449 @t408) @t444)) % 0.42/0.87 (define @t452 () (@var "BOUND_VARIABLE_11354" $$unsorted)) % 0.42/0.87 (define @t453 () (not (forall @t231 (= (tptp.rev (|tptp.'**'| @t452 @t277)) (tptp.cons @t217 (tptp.rev @t452)))))) % 0.42/0.87 (define @t454 () (not (tptp.list_succeeds @t452))) % 0.42/0.87 (define @t455 () (@var "BOUND_VARIABLE_11352" $$unsorted)) % 0.42/0.87 (define @t456 () (tptp.cons @t455 @t452)) % 0.42/0.87 (define @t457 () (@var "BOUND_VARIABLE_11356" $$unsorted)) % 0.42/0.87 (define @t458 () (tptp.cons @t457 tptp.nil)) % 0.42/0.87 (define @t459 () (= (tptp.rev (|tptp.'**'| @t456 @t458)) (tptp.cons @t457 (tptp.rev @t456)))) % 0.42/0.87 (define @t460 () (or @t459 @t454 @t453)) % 0.42/0.87 (define @t461 () (not (= @t456 @t456))) % 0.42/0.87 (define @t462 () (or @t459 @t461 @t454 @t453)) % 0.42/0.87 (define @t463 () (@list @t455 @t452 @t457)) % 0.42/0.87 (define @t464 () (@var "BOUND_VARIABLE_11350" $$unsorted)) % 0.42/0.87 (define @t465 () (not (= @t464 @t456))) % 0.42/0.87 (define @t466 () (= (tptp.rev (|tptp.'**'| @t464 @t458)) (tptp.cons @t457 (tptp.rev @t464)))) % 0.42/0.87 (define @t467 () (or @t465 @t466 @t465 @t454 @t453)) % 0.42/0.87 (define @t468 () (@list @t464)) % 0.42/0.87 (define @t469 () (or @t466 @t465 @t454 @t453)) % 0.42/0.87 (define @t470 () (forall @t468 @t469)) % 0.42/0.87 (define @t471 () (forall @t463 @t470)) % 0.42/0.87 (define @t472 () (forall (@list @t455 @t452 @t457 @t464) @t469)) % 0.42/0.87 (define @t473 () (forall (@list @t464 @t455 @t452 @t457) @t469)) % 0.42/0.87 (define @t474 () (@var "BOUND_VARIABLE_11327" $$unsorted)) % 0.42/0.87 (define @t475 () (= (tptp.rev (|tptp.'**'| @t280 (tptp.cons @t474 tptp.nil))) (tptp.cons @t474 @t387))) % 0.42/0.87 (define @t476 () (= tptp.nil @t280)) % 0.42/0.87 (define @t477 () (not @t476)) % 0.42/0.87 (define @t478 () (or @t477 @t475)) % 0.42/0.87 (define @t479 () (@var "BOUND_VARIABLE_11311" $$unsorted)) % 0.42/0.87 (define @t480 () (@var "BOUND_VARIABLE_11309" $$unsorted)) % 0.42/0.87 (define @t481 () (@list @t280 @t480 @t479 @t474)) % 0.42/0.87 (define @t482 () (forall @t481 @t478)) % 0.42/0.87 (define @t483 () (@list @t280 @t480 @t479 @t474)) % 0.42/0.87 (define @t484 () (not (forall @t231 (= (tptp.rev (|tptp.'**'| @t479 @t277)) (tptp.cons @t217 (tptp.rev @t479)))))) % 0.42/0.87 (define @t485 () (not (tptp.list_succeeds @t479))) % 0.42/0.87 (define @t486 () (tptp.cons @t480 @t479)) % 0.42/0.87 (define @t487 () (not (= @t280 @t486))) % 0.42/0.87 (define @t488 () (or @t475 @t487 @t485 @t484)) % 0.42/0.87 (define @t489 () (forall @t481 @t488)) % 0.42/0.87 (define @t490 () (and @t489 @t482)) % 0.42/0.87 (define @t491 () (or @t487 @t485 @t484)) % 0.42/0.87 (define @t492 () (or @t491 @t475)) % 0.42/0.87 (define @t493 () (and @t492 @t478)) % 0.42/0.87 (define @t494 () (not (= @t486 @t280))) % 0.42/0.87 (define @t495 () (or @t494 @t485 @t484)) % 0.42/0.87 (define @t496 () (and @t495 @t477)) % 0.42/0.87 (define @t497 () (or @t496 @t475)) % 0.42/0.87 (define @t498 () (forall @t481 @t497)) % 0.42/0.87 (define @t499 () (forall (@list @t480 @t479 @t474) @t497)) % 0.42/0.87 (define @t500 () (forall (@list @t474) @t475)) % 0.42/0.87 (define @t501 () (@list @t480 @t479)) % 0.42/0.87 (define @t502 () (forall @t501 @t477)) % 0.42/0.87 (define @t503 () (forall @t501 @t495)) % 0.42/0.87 (define @t504 () (and @t503 @t502)) % 0.42/0.87 (define @t505 () (forall @t501 @t496)) % 0.42/0.87 (define @t506 () (or @t505 @t500)) % 0.42/0.87 (define @t507 () (not @t398)) % 0.42/0.87 (define @t508 () (not @t186)) % 0.42/0.87 (define @t509 () (= @t187 @t280)) % 0.42/0.87 (define @t510 () (not @t509)) % 0.42/0.87 (define @t511 () (or @t510 @t508 @t507)) % 0.42/0.87 (define @t512 () (forall @t189 @t511)) % 0.42/0.87 (define @t513 () (not @t512)) % 0.42/0.87 (define @t514 () (or @t513 @t476)) % 0.42/0.87 (define @t515 () (and @t509 @t186 @t398)) % 0.42/0.87 (define @t516 () (forall @t189 (not @t515))) % 0.42/0.87 (define @t517 () (not @t516)) % 0.42/0.87 (define @t518 () (forall @t463 @t460)) % 0.42/0.87 (define @t519 () (and @t518 @t412)) % 0.42/0.87 (define @t520 () (not @t519)) % 0.42/0.87 (define @t521 () (not @t518)) % 0.42/0.87 (define @t522 () (@quantifiers_skolemize @t518 1)) % 0.42/0.87 (define @t523 () (tptp.rev @t522)) % 0.42/0.87 (define @t524 () (forall @t231 (= (tptp.rev (|tptp.'**'| @t522 @t277)) (tptp.cons @t217 @t523)))) % 0.42/0.87 (define @t525 () (not @t524)) % 0.42/0.87 (define @t526 () (tptp.list_succeeds @t522)) % 0.42/0.87 (define @t527 () (not @t526)) % 0.42/0.87 (define @t528 () (@quantifiers_skolemize @t518 0)) % 0.42/0.87 (define @t529 () (tptp.cons @t528 @t522)) % 0.42/0.87 (define @t530 () (tptp.rev @t529)) % 0.42/0.87 (define @t531 () (@quantifiers_skolemize @t518 2)) % 0.42/0.87 (define @t532 () (tptp.cons @t531 tptp.nil)) % 0.42/0.87 (define @t533 () (|tptp.'**'| @t529 @t532)) % 0.42/0.87 (define @t534 () (= (tptp.rev @t533) (tptp.cons @t531 @t530))) % 0.42/0.87 (define @t535 () (or @t534 @t527 @t525)) % 0.42/0.87 (define @t536 () (not @t535)) % 0.42/0.87 (define @t537 () (not @t534)) % 0.42/0.87 (define @t538 () (@list @t535)) % 0.42/0.87 (define @t539 () (|tptp.'**'| @t522 @t532)) % 0.42/0.87 (define @t540 () (tptp.cons @t528 @t539)) % 0.42/0.87 (define @t541 () (= @t533 @t540)) % 0.42/0.87 (define @t542 () (or @t527 @t541)) % 0.42/0.87 (define @t543 () (@list false false)) % 0.42/0.87 (define @t544 () (tptp.cons @t528 tptp.nil)) % 0.42/0.87 (define @t545 () (|tptp.'**'| @t523 @t544)) % 0.42/0.87 (define @t546 () (= @t530 @t545)) % 0.42/0.87 (define @t547 () (or @t527 @t546)) % 0.42/0.87 (define @t548 () (@list @t531)) % 0.42/0.87 (define @t549 () (tptp.cons @t531 @t523)) % 0.42/0.87 (define @t550 () (tptp.rev @t539)) % 0.42/0.87 (define @t551 () (= @t550 @t549)) % 0.42/0.87 (define @t552 () (not @t297)) % 0.42/0.87 (define @t553 () (not @t291)) % 0.42/0.87 (define @t554 () (tptp.list_succeeds @t539)) % 0.42/0.87 (define @t555 () (tptp.list_succeeds @t532)) % 0.42/0.87 (define @t556 () (not @t555)) % 0.42/0.87 (define @t557 () (or @t527 @t556 @t554)) % 0.42/0.87 (define @t558 () (tptp.rev @t540)) % 0.42/0.87 (define @t559 () (= @t558 (|tptp.'**'| @t550 @t544))) % 0.42/0.87 (define @t560 () (not @t554)) % 0.42/0.87 (define @t561 () (or @t560 @t559)) % 0.42/0.87 (define @t562 () (tptp.list_succeeds @t523)) % 0.42/0.87 (define @t563 () (or @t527 @t562)) % 0.42/0.87 (define @t564 () (tptp.cons @t531 @t545)) % 0.42/0.87 (define @t565 () (|tptp.'**'| @t549 @t544)) % 0.42/0.87 (define @t566 () (= @t565 @t564)) % 0.42/0.87 (define @t567 () (not @t562)) % 0.42/0.87 (define @t568 () (or @t567 @t566)) % 0.42/0.87 (define @t569 () (not @t566)) % 0.42/0.87 (define @t570 () (not @t559)) % 0.42/0.87 (define @t571 () (not @t551)) % 0.42/0.87 (define @t572 () (not @t546)) % 0.42/0.87 (define @t573 () (not @t541)) % 0.42/0.87 (define @t574 () (and @t537 @t541 @t546 @t551 @t559)) % 0.42/0.87 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.42/0.87 (assume @p2 (not (= |tptp.'0'| tptp.nil))) % 0.42/0.87 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 0.42/0.87 (assume @p4 (forall @t10 (=> (= (tptp.s @t8) @t9) (= @t8 @t7)))) % 0.42/0.87 (assume @p5 (forall (@list @t11) (not (= tptp.nil (tptp.s @t11))))) % 0.42/0.87 (assume @p6 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 0.42/0.87 (assume @p7 (forall (@list @t16 @t15) (not (= tptp.nil (tptp.cons @t16 @t15))))) % 0.42/0.87 (assume @p8 (forall (@list @t20 @t18 @t19 @t17) (=> (= (tptp.cons @t20 @t18) (tptp.cons @t19 @t17)) (= @t18 @t17)))) % 0.42/0.87 (assume @p9 (forall (@list @t22 @t24 @t21 @t23) (=> (= (tptp.cons @t22 @t24) (tptp.cons @t21 @t23)) (= @t22 @t21)))) % 0.42/0.87 (assume @p10 (tptp.gr |tptp.'0'|)) % 0.42/0.87 (assume @p11 (forall (@list @t25) (= (tptp.gr @t25) (tptp.gr (tptp.s @t25))))) % 0.42/0.87 (assume @p12 (tptp.gr tptp.nil)) % 0.42/0.87 (assume @p13 (forall (@list @t27 @t26) (= (and (tptp.gr @t27) (tptp.gr @t26)) (tptp.gr (tptp.cons @t27 @t26))))) % 0.42/0.87 (assume @p14 (forall @t33 (not (and @t32 @t31)))) % 0.42/0.87 (assume @p15 (forall @t33 (=> (tptp.a_reverse_terminates @t30 @t29 @t28) (or @t32 @t31)))) % 0.42/0.87 (assume @p16 (forall @t38 (not (and @t37 @t36)))) % 0.42/0.87 (assume @p17 (forall @t38 (=> (tptp.reverse_terminates @t35 @t34) (or @t37 @t36)))) % 0.42/0.87 (assume @p18 (forall @t43 (not (and @t42 @t41)))) % 0.42/0.87 (assume @p19 (forall @t43 (=> (tptp.n_reverse_terminates @t40 @t39) (or @t42 @t41)))) % 0.42/0.87 (assume @p20 (forall @t49 (not (and @t48 @t47)))) % 0.42/0.87 (assume @p21 (forall @t49 (=> (tptp.member2_terminates @t46 @t45 @t44) (or @t48 @t47)))) % 0.42/0.87 (assume @p22 (forall @t55 (not (and @t54 @t53)))) % 0.42/0.87 (assume @p23 (forall @t55 (=> (tptp.occ_terminates @t52 @t51 @t50) (or @t54 @t53)))) % 0.42/0.87 (assume @p24 (forall @t60 (not (and @t59 @t58)))) % 0.42/0.87 (assume @p25 (forall @t60 (=> (tptp.not_same_occ_terminates @t57 @t56) (or @t59 @t58)))) % 0.42/0.87 (assume @p26 (forall @t65 (not (and @t64 @t63)))) % 0.42/0.87 (assume @p27 (forall @t65 (=> (tptp.same_occ_terminates @t62 @t61) (or @t64 @t63)))) % 0.42/0.87 (assume @p28 (forall @t70 (not (and @t69 @t68)))) % 0.42/0.87 (assume @p29 (forall @t70 (=> (tptp.permutation_terminates @t67 @t66) (or @t69 @t68)))) % 0.42/0.87 (assume @p30 (forall @t76 (not (and @t75 @t74)))) % 0.42/0.87 (assume @p31 (forall @t76 (=> (tptp.delete_terminates @t73 @t72 @t71) (or @t75 @t74)))) % 0.42/0.87 (assume @p32 (forall @t81 (not (and @t80 @t79)))) % 0.42/0.87 (assume @p33 (forall @t81 (=> (tptp.length_terminates @t78 @t77) (or @t80 @t79)))) % 0.42/0.87 (assume @p34 (forall @t87 (not (and @t86 @t85)))) % 0.42/0.87 (assume @p35 (forall @t87 (=> (tptp.append_terminates @t84 @t83 @t82) (or @t86 @t85)))) % 0.42/0.87 (assume @p36 (forall @t92 (not (and @t91 @t90)))) % 0.42/0.87 (assume @p37 (forall @t92 (=> (tptp.member_terminates @t89 @t88) (or @t91 @t90)))) % 0.42/0.87 (assume @p38 (forall @t96 (not (and @t95 @t94)))) % 0.42/0.87 (assume @p39 (forall @t96 (=> (tptp.list_terminates @t93) (or @t95 @t94)))) % 0.42/0.87 (assume @p40 (forall @t100 (not (and @t99 @t98)))) % 0.42/0.87 (assume @p41 (forall @t100 (=> (tptp.nat_list_terminates @t97) (or @t99 @t98)))) % 0.42/0.87 (assume @p42 (forall @t106 (not (and @t105 @t104)))) % 0.42/0.87 (assume @p43 (forall @t106 (=> (tptp.times_terminates @t103 @t102 @t101) (or @t105 @t104)))) % 0.42/0.87 (assume @p44 (forall @t112 (not (and @t111 @t110)))) % 0.42/0.87 (assume @p45 (forall @t112 (=> (tptp.plus_terminates @t109 @t108 @t107) (or @t111 @t110)))) % 0.42/0.87 (assume @p46 (forall @t117 (not (and @t116 @t115)))) % 0.42/0.87 (assume @p47 (forall @t117 (=> (|tptp.'@=<_terminates'| @t114 @t113) (or @t116 @t115)))) % 0.42/0.87 (assume @p48 (forall @t122 (not (and @t121 @t120)))) % 0.42/0.87 (assume @p49 (forall @t122 (=> (|tptp.'@<_terminates'| @t119 @t118) (or @t121 @t120)))) % 0.42/0.87 (assume @p50 (forall @t126 (not (and @t125 @t124)))) % 0.42/0.87 (assume @p51 (forall @t126 (=> (tptp.nat_terminates @t123) (or @t125 @t124)))) % 0.42/0.87 (assume @p52 (forall @t134 (= (tptp.a_reverse_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t133 (tptp.a_reverse_succeeds @t3 @t132 @t1))) @t131)))) % 0.42/0.87 (assume @p53 (forall @t134 (= (tptp.a_reverse_fails @t129 @t127 @t1) (and (forall @t6 (or @t138 (tptp.a_reverse_fails @t3 @t132 @t1))) @t137)))) % 0.42/0.87 (assume @p54 (forall @t134 (= (tptp.a_reverse_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t138 (tptp.a_reverse_terminates @t3 @t132 @t1)))) true @t139)))) % 0.42/0.87 (assume @p55 (forall @t140 (= (tptp.reverse_succeeds @t129 @t127) (tptp.a_reverse_succeeds @t129 tptp.nil @t127)))) % 0.42/0.87 (assume @p56 (forall @t140 (= (tptp.reverse_fails @t129 @t127) (tptp.a_reverse_fails @t129 tptp.nil @t127)))) % 0.42/0.87 (assume @p57 (forall @t140 (= (tptp.reverse_terminates @t129 @t127) (tptp.a_reverse_terminates @t129 tptp.nil @t127)))) % 0.42/0.87 (assume @p58 (forall @t140 (= (tptp.n_reverse_succeeds @t129 @t127) (or (exists @t146 (and @t145 (tptp.n_reverse_succeeds @t4 @t3) (tptp.append_succeeds @t3 @t143 @t127))) @t142)))) % 0.42/0.87 (assume @p59 (forall @t140 (= (tptp.n_reverse_fails @t129 @t127) (and (forall @t146 (or @t150 @t149 (tptp.append_fails @t3 @t143 @t127))) @t148)))) % 0.42/0.87 (assume @p60 (forall @t140 (= (tptp.n_reverse_terminates @t129 @t127) (and (forall @t146 (and true (or @t150 (and (tptp.n_reverse_terminates @t4 @t3) (or @t149 (tptp.append_terminates @t3 @t143 @t127)))))) true @t139)))) % 0.42/0.87 (assume @p61 (forall @t134 (= (tptp.member2_succeeds @t129 @t127 @t1) (or (tptp.member_succeeds @t129 @t1) @t151)))) % 0.42/0.87 (assume @p62 (forall @t134 (= (tptp.member2_fails @t129 @t127 @t1) (and (tptp.member_fails @t129 @t1) @t152)))) % 0.42/0.87 (assume @p63 (forall @t134 (= (tptp.member2_terminates @t129 @t127 @t1) (and (tptp.member_terminates @t129 @t1) @t153)))) % 0.42/0.87 (assume @p64 (forall @t134 (= (tptp.occ_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t158 (not @t157) (tptp.occ_succeeds @t129 @t3 @t1))) (exists @t10 (and @t156 @t155 (tptp.occ_succeeds @t129 @t8 @t7))) (and @t141 @t154))))) % 0.42/0.87 (assume @p65 (forall @t134 (= (tptp.occ_fails @t129 @t127 @t1) (and (forall @t6 (or @t162 @t157 (tptp.occ_fails @t129 @t3 @t1))) (forall @t10 (or @t161 @t160 (tptp.occ_fails @t129 @t8 @t7))) (or @t147 @t159))))) % 0.42/0.87 (assume @p66 (forall @t134 (= (tptp.occ_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t162 (and true @t164 @t163 (or @t157 (tptp.occ_terminates @t129 @t3 @t1)))))) (forall @t10 (and true (or @t161 (and true (or @t160 (tptp.occ_terminates @t129 @t8 @t7)))))) true (or @t147 true))))) % 0.42/0.87 (assume @p67 (forall @t140 (= @t166 (exists @t146 (and (tptp.member2_succeeds @t1 @t129 @t127) (tptp.occ_succeeds @t1 @t129 @t4) (tptp.occ_succeeds @t1 @t127 @t3) (not @t165)))))) % 0.42/0.87 (assume @p68 (forall @t140 (= @t170 (forall @t146 (or @t169 @t168 @t167 @t165))))) % 0.42/0.87 (assume @p69 (forall @t140 (= @t171 (forall @t146 (and (tptp.member2_terminates @t1 @t129 @t127) (or @t169 (and (tptp.occ_terminates @t1 @t129 @t4) (or @t168 (and (tptp.occ_terminates @t1 @t127 @t3) (or @t167 (and true @t163 (tptp.gr @t3)))))))))))) % 0.42/0.87 (assume @p70 (forall @t140 (= (tptp.same_occ_succeeds @t129 @t127) @t170))) % 0.42/0.87 (assume @p71 (forall @t140 (= (tptp.same_occ_fails @t129 @t127) @t166))) % 0.42/0.87 (assume @p72 (forall @t140 (= (tptp.same_occ_terminates @t129 @t127) (and @t171 @t164 (tptp.gr @t127))))) % 0.42/0.87 (assume @p73 (forall @t140 (= (tptp.permutation_succeeds @t129 @t127) (or (exists @t146 (and @t172 (tptp.delete_succeeds @t1 @t129 @t3) (tptp.permutation_succeeds @t3 @t4))) @t142)))) % 0.42/0.87 (assume @p74 (forall @t140 (= (tptp.permutation_fails @t129 @t127) (and (forall @t146 (or @t174 @t173 (tptp.permutation_fails @t3 @t4))) @t148)))) % 0.42/0.87 (assume @p75 (forall @t140 (= (tptp.permutation_terminates @t129 @t127) (and (forall @t146 (and true (or @t174 (and (tptp.delete_terminates @t1 @t129 @t3) (or @t173 (tptp.permutation_terminates @t3 @t4)))))) true @t139)))) % 0.42/0.87 (assume @p76 (forall @t134 (= (tptp.delete_succeeds @t129 @t127 @t1) (or (exists @t177 (and @t158 @t176 (tptp.delete_succeeds @t129 @t3 @t8))) @t175)))) % 0.42/0.87 (assume @p77 (forall @t134 (= (tptp.delete_fails @t129 @t127 @t1) (and (forall @t177 (or @t162 @t178 (tptp.delete_fails @t129 @t3 @t8))) (not @t175))))) % 0.42/0.87 (assume @p78 (forall @t134 (= (tptp.delete_terminates @t129 @t127 @t1) (and (forall @t177 (and true (or @t162 (and true (or @t178 (tptp.delete_terminates @t129 @t3 @t8)))))) true)))) % 0.42/0.87 (assume @p79 (forall @t140 (= (tptp.length_succeeds @t129 @t127) (or (exists @t146 (and @t145 @t181 (tptp.length_succeeds @t4 @t3))) (and @t130 @t179))))) % 0.42/0.87 (assume @p80 (forall @t140 (= (tptp.length_fails @t129 @t127) (and (forall @t146 (or @t150 @t182 (tptp.length_fails @t4 @t3))) (or @t136 (not @t179)))))) % 0.42/0.87 (assume @p81 (forall @t140 (= (tptp.length_terminates @t129 @t127) (and (forall @t146 (and true (or @t150 (and true (or @t182 (tptp.length_terminates @t4 @t3)))))) true @t139)))) % 0.42/0.87 (assume @p82 (forall @t134 (= (tptp.append_succeeds @t129 @t127 @t1) (or (exists @t177 (and @t133 @t176 (tptp.append_succeeds @t3 @t127 @t8))) @t131)))) % 0.42/0.87 (assume @p83 (forall @t134 (= (tptp.append_fails @t129 @t127 @t1) (and (forall @t177 (or @t138 @t178 (tptp.append_fails @t3 @t127 @t8))) @t137)))) % 0.42/0.87 (assume @p84 (forall @t134 (= (tptp.append_terminates @t129 @t127 @t1) (and (forall @t177 (and true (or @t138 (and true (or @t178 (tptp.append_terminates @t3 @t127 @t8)))))) true @t139)))) % 0.42/0.87 (assume @p85 (forall @t140 (= @t151 (or (exists @t185 (and @t172 (tptp.member_succeeds @t129 @t4))) (exists @t184 @t183))))) % 0.42/0.87 (assume @p86 (forall @t140 (= @t152 (and (forall @t185 (or @t174 (tptp.member_fails @t129 @t4))) (forall @t184 (not @t183)))))) % 0.42/0.87 (assume @p87 (forall @t140 (= @t153 (and (forall @t185 (and true (or @t174 (tptp.member_terminates @t129 @t4)))) (forall @t184 true))))) % 0.42/0.87 (assume @p88 (forall @t190 (= (tptp.list_succeeds @t129) (or (exists @t189 (and @t188 @t186)) @t130)))) % 0.42/0.87 (assume @p89 (forall @t190 (= (tptp.list_fails @t129) (and (forall @t189 (or @t191 (tptp.list_fails @t1))) @t136)))) % 0.42/0.87 (assume @p90 (forall @t190 (= (tptp.list_terminates @t129) (and (forall @t189 (and true (or @t191 (tptp.list_terminates @t1)))) true)))) % 0.42/0.87 (assume @p91 (forall @t190 (= (tptp.nat_list_succeeds @t129) (or (exists @t189 (and @t188 @t192 (tptp.nat_list_succeeds @t1))) @t130)))) % 0.42/0.87 (assume @p92 (forall @t190 (= (tptp.nat_list_fails @t129) (and (forall @t189 (or @t191 @t193 (tptp.nat_list_fails @t1))) @t136)))) % 0.42/0.87 (assume @p93 (forall @t190 (= (tptp.nat_list_terminates @t129) (and (forall @t189 (and true (or @t191 (and @t194 (or @t193 (tptp.nat_list_terminates @t1)))))) true)))) % 0.42/0.87 (assume @p94 (forall @t134 (= (tptp.times_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t197 (tptp.times_succeeds @t4 @t127 @t3) (tptp.plus_succeeds @t127 @t3 @t1))) (and @t195 @t154))))) % 0.42/0.87 (assume @p95 (forall @t134 (= (tptp.times_fails @t129 @t127 @t1) (and (forall @t6 (or @t200 @t199 (tptp.plus_fails @t127 @t3 @t1))) (or @t198 @t159))))) % 0.42/0.87 (assume @p96 (forall @t134 (= (tptp.times_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t200 (and (tptp.times_terminates @t4 @t127 @t3) (or @t199 (tptp.plus_terminates @t127 @t3 @t1)))))) true @t201)))) % 0.42/0.87 (assume @p97 (forall @t134 (= (tptp.plus_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t197 @t202 (tptp.plus_succeeds @t4 @t127 @t3))) (and @t195 @t128))))) % 0.42/0.87 (assume @p98 (forall @t134 (= (tptp.plus_fails @t129 @t127 @t1) (and (forall @t6 (or @t200 @t203 (tptp.plus_fails @t4 @t127 @t3))) (or @t198 @t135))))) % 0.42/0.87 (assume @p99 (forall @t134 (= (tptp.plus_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t200 (and true (or @t203 (tptp.plus_terminates @t4 @t127 @t3)))))) true @t201)))) % 0.42/0.87 (assume @p100 (forall @t140 (= (|tptp.'@=<_succeeds'| @t129 @t127) (or (exists @t185 (and @t205 @t204 (|tptp.'@=<_succeeds'| @t1 @t4))) @t195)))) % 0.42/0.87 (assume @p101 (forall @t140 (= (|tptp.'@=<_fails'| @t129 @t127) (and (forall @t185 (or @t207 @t206 (|tptp.'@=<_fails'| @t1 @t4))) @t198)))) % 0.42/0.87 (assume @p102 (forall @t140 (= (|tptp.'@=<_terminates'| @t129 @t127) (and (forall @t185 (and true (or @t207 (and true (or @t206 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.42/0.87 (assume @p103 (forall @t140 (= (|tptp.'@<_succeeds'| @t129 @t127) (or (exists @t185 (and @t205 @t204 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t184 (and @t195 @t181)))))) % 0.42/0.87 (assume @p104 (forall @t140 (= (|tptp.'@<_fails'| @t129 @t127) (and (forall @t185 (or @t207 @t206 (|tptp.'@<_fails'| @t1 @t4))) (forall @t184 (or @t198 @t182)))))) % 0.42/0.87 (assume @p105 (forall @t140 (= (|tptp.'@<_terminates'| @t129 @t127) (and (forall @t185 (and true (or @t207 (and true (or @t206 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t184 (and true @t201)))))) % 0.42/0.87 (assume @p106 (forall @t190 (= @t210 (or (exists @t209 (and @t208 @t192)) @t195)))) % 0.42/0.87 (assume @p107 (forall @t190 (= (tptp.nat_fails @t129) (and (forall @t209 (or @t211 @t193)) @t198)))) % 0.42/0.87 (assume @p108 (forall @t190 (= (tptp.nat_terminates @t129) (and (forall @t209 (and true (or @t211 @t194))) true)))) % 0.42/0.87 (assume @p109 (forall @t214 (=> @t213 (tptp.nat_terminates @t212)))) % 0.42/0.87 (assume @p110 (forall @t214 (=> @t213 @t215))) % 0.42/0.87 (assume @p111 (forall @t219 (=> @t213 @t218))) % 0.42/0.87 (assume @p112 (forall @t219 (=> @t220 @t218))) % 0.42/0.87 (assume @p113 (forall @t219 (=> @t221 @t213))) % 0.42/0.87 (assume @p114 (forall @t219 (=> (and @t221 @t222) @t220))) % 0.42/0.87 (assume @p115 (forall @t219 (=> (and @t221 @t220) @t222))) % 0.42/0.87 (assume @p116 (forall @t219 (=> @t221 @t218))) % 0.42/0.87 (assume @p117 (forall @t219 (=> @t221 @t215))) % 0.42/0.87 (assume @p118 (forall @t219 (=> (and @t221 @t224) @t223))) % 0.42/0.87 (assume @p119 (forall @t219 (=> (and @t221 @t223) @t224))) % 0.42/0.87 (assume @p120 (forall @t226 (=> @t213 (exists @t225 @t221)))) % 0.42/0.87 (assume @p121 (forall @t230 (=> (and (tptp.plus_succeeds @t212 @t217 @t228) (tptp.plus_succeeds @t212 @t217 @t227)) @t229))) % 0.42/0.87 (assume @p122 (forall @t231 (= (|tptp.'@+'| |tptp.'0'| @t217) @t217))) % 0.42/0.87 (assume @p123 (forall @t226 (=> @t213 (= @t234 (tptp.s @t232))))) % 0.42/0.87 (assume @p124 (forall @t226 (=> @t235 (tptp.nat_succeeds @t232)))) % 0.42/0.87 (assume @p125 (forall @t219 (=> @t237 (= (|tptp.'@+'| @t232 @t216) (|tptp.'@+'| @t212 @t236))))) % 0.42/0.87 (assume @p126 (forall @t214 (=> @t213 (= (|tptp.'@+'| @t212 |tptp.'0'|) @t212)))) % 0.42/0.87 (assume @p127 (forall @t226 (=> @t235 (= @t239 @t234)))) % 0.42/0.87 (assume @p128 (forall @t226 (=> @t235 (= @t232 @t240)))) % 0.42/0.87 (assume @p129 (forall @t219 (=> (and @t213 (= @t232 @t241)) (= @t217 @t216)))) % 0.42/0.87 (assume @p130 (forall @t219 (=> @t242 @t213))) % 0.42/0.87 (assume @p131 (forall @t219 (=> (and @t242 @t222) @t220))) % 0.42/0.87 (assume @p132 (forall @t219 (=> @t242 @t215))) % 0.42/0.87 (assume @p133 (forall @t219 (=> (and @t242 @t224) @t223))) % 0.42/0.87 (assume @p134 (forall @t219 (=> @t235 (tptp.times_terminates @t212 @t217 @t216)))) % 0.42/0.87 (assume @p135 (forall @t226 (=> @t235 (exists @t225 @t242)))) % 0.42/0.87 (assume @p136 (forall @t230 (=> (and (tptp.times_succeeds @t212 @t217 @t228) (tptp.times_succeeds @t212 @t217 @t227)) @t229))) % 0.42/0.87 (assume @p137 (forall @t231 (=> @t222 (= (|tptp.'@*'| |tptp.'0'| @t217) |tptp.'0'|)))) % 0.42/0.87 (assume @p138 (forall @t226 (=> @t235 (= @t244 (|tptp.'@+'| @t217 @t243))))) % 0.42/0.87 (assume @p139 (forall @t226 (=> @t235 (tptp.nat_succeeds @t243)))) % 0.42/0.87 (assume @p140 (forall @t219 (=> @t237 (= (|tptp.'@*'| @t232 @t216) (|tptp.'@+'| @t246 @t245))))) % 0.42/0.87 (assume @p141 (forall @t219 (=> @t237 (= (|tptp.'@*'| @t243 @t216) (|tptp.'@*'| @t212 @t245))))) % 0.42/0.87 (assume @p142 (forall @t214 (=> @t213 (= (|tptp.'@*'| @t212 |tptp.'0'|) |tptp.'0'|)))) % 0.42/0.87 (assume @p143 (forall (@list @t217 @t212) (=> (and @t222 @t213) (= (|tptp.'@+'| @t247 @t217) (|tptp.'@*'| @t217 @t233))))) % 0.42/0.87 (assume @p144 (forall @t226 (=> @t235 (= @t243 @t247)))) % 0.42/0.87 (assume @p145 (forall @t214 (=> @t213 (= (|tptp.'@*'| @t248 @t212) @t212)))) % 0.42/0.87 (assume @p146 (forall @t214 (=> @t213 (= (|tptp.'@*'| @t212 @t248) @t212)))) % 0.42/0.87 (assume @p147 (forall @t219 (=> @t237 (= (|tptp.'@*'| @t216 @t232) (|tptp.'@+'| (|tptp.'@*'| @t216 @t212) (|tptp.'@*'| @t216 @t217)))))) % 0.42/0.87 (assume @p148 (forall @t226 (=> @t213 @t249))) % 0.42/0.87 (assume @p149 (forall @t226 (=> @t222 @t249))) % 0.42/0.87 (assume @p150 (forall @t226 (=> @t250 @t213))) % 0.42/0.87 (assume @p151 (forall @t226 (=> @t250 (exists @t225 (= @t217 @t251))))) % 0.42/0.87 (assume @p152 (forall @t219 (=> (and @t250 (|tptp.'@<_succeeds'| @t217 @t251)) @t252))) % 0.42/0.87 (assume @p153 (forall @t226 (=> @t250 @t253))) % 0.42/0.87 (assume @p154 (forall @t219 (=> (and @t250 @t254) @t252))) % 0.42/0.87 (assume @p155 (forall @t214 (=> @t213 (|tptp.'@<_fails'| @t212 @t212)))) % 0.42/0.87 (assume @p156 (forall @t214 (=> @t213 (not (|tptp.'@<_succeeds'| @t212 @t212))))) % 0.42/0.87 (assume @p157 (forall @t214 (=> @t213 (|tptp.'@<_succeeds'| @t212 @t233)))) % 0.42/0.87 (assume @p158 (forall @t226 (=> (and @t222 @t253) @t256))) % 0.42/0.87 (assume @p159 (forall @t226 (=> @t235 (or @t250 @t255 (|tptp.'@<_succeeds'| @t217 @t212))))) % 0.42/0.87 (assume @p160 (forall @t214 (=> (and @t213 @t257) (|tptp.'@<_succeeds'| |tptp.'0'| @t212)))) % 0.42/0.87 (assume @p161 (forall @t226 (=> @t213 (|tptp.'@=<_terminates'| @t212 @t217)))) % 0.42/0.87 (assume @p162 (forall @t226 (=> @t258 @t213))) % 0.42/0.87 (assume @p163 (forall @t226 (=> @t258 (exists @t225 (tptp.plus_succeeds @t212 @t216 @t217))))) % 0.42/0.87 (assume @p164 (forall @t226 (=> @t258 (exists @t225 (= @t241 @t217))))) % 0.42/0.87 (assume @p165 (forall @t226 (=> @t250 (exists @t225 (tptp.plus_succeeds @t212 @t251 @t217))))) % 0.42/0.87 (assume @p166 (forall @t226 (=> @t250 (exists @t225 (= (|tptp.'@+'| @t212 @t251) @t217))))) % 0.42/0.87 (assume @p167 (forall @t226 (=> @t250 @t258))) % 0.42/0.87 (assume @p168 (forall @t214 (=> @t213 (|tptp.'@=<_succeeds'| @t212 @t212)))) % 0.42/0.87 (assume @p169 (forall @t226 (=> @t235 (or @t258 @t259)))) % 0.42/0.87 (assume @p170 (forall @t226 (=> @t235 (or @t250 @t259)))) % 0.42/0.87 (assume @p171 (forall @t226 (=> (and @t213 @t222 (|tptp.'@=<_fails'| @t212 @t217)) @t259))) % 0.42/0.87 (assume @p172 (forall @t226 (=> (and @t258 @t222) @t256))) % 0.42/0.87 (assume @p173 (forall @t219 (=> (and @t258 @t254) @t252))) % 0.42/0.87 (assume @p174 (forall @t219 (=> (and @t250 @t260) @t252))) % 0.42/0.87 (assume @p175 (forall @t219 (=> (and @t258 @t260) (|tptp.'@=<_succeeds'| @t212 @t216)))) % 0.42/0.87 (assume @p176 (forall @t226 (=> (and @t258 @t259) @t255))) % 0.42/0.87 (assume @p177 (forall @t214 (=> @t213 (|tptp.'@=<_succeeds'| @t212 @t233)))) % 0.42/0.87 (assume @p178 (forall @t214 (=> @t213 (|tptp.'@=<_fails'| @t233 @t212)))) % 0.42/0.87 (assume @p179 (forall @t219 (=> (and @t213 @t254) @t261))) % 0.42/0.87 (assume @p180 (forall @t226 (=> @t213 (|tptp.'@<_succeeds'| @t212 @t239)))) % 0.42/0.87 (assume @p181 (forall @t219 (=> (and @t250 @t222 @t220) @t262))) % 0.42/0.87 (assume @p182 (forall @t226 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t217) @t213 @t222) (|tptp.'@<_succeeds'| @t212 @t240)))) % 0.42/0.87 (assume @p183 (forall @t219 (=> (and @t213 @t260) @t263))) % 0.42/0.87 (assume @p184 (forall @t219 (=> @t264 (|tptp.'@=<_succeeds'| @t241 @t236)))) % 0.42/0.87 (assume @p185 (forall @t226 (=> @t213 (|tptp.'@=<_succeeds'| @t212 @t232)))) % 0.42/0.87 (assume @p186 (forall @t226 (=> @t235 (|tptp.'@=<_succeeds'| @t217 @t232)))) % 0.42/0.87 (assume @p187 (forall @t219 (=> (and @t213 @t261) @t254))) % 0.42/0.87 (assume @p188 (forall @t219 (=> (and @t213 @t222 @t220 @t262) @t250))) % 0.42/0.87 (assume @p189 (forall @t219 (=> (and @t213 @t263) @t260))) % 0.42/0.87 (assume @p190 (forall @t272 (=> (and @t271 @t270 @t269) (|tptp.'@=<_succeeds'| @t268 @t267)))) % 0.42/0.87 (assume @p191 (forall @t272 (=> (and @t274 @t270 @t269) @t273))) % 0.42/0.87 (assume @p192 (forall @t272 (=> (and @t271 @t275 @t269) @t273))) % 0.42/0.87 (assume @p193 (forall @t272 (=> (and @t274 @t275 @t269) @t273))) % 0.42/0.87 (assume @p194 (forall @t219 (=> (and @t213 @t260 @t220) (|tptp.'@=<_succeeds'| @t243 @t246)))) % 0.42/0.87 (assume @p195 (forall @t219 (=> @t264 (|tptp.'@=<_succeeds'| @t246 @t245)))) % 0.42/0.87 (assume @p196 (forall @t219 (=> (and @t213 @t257 @t254 @t220) (|tptp.'@<_succeeds'| @t243 @t246)))) % 0.42/0.87 (assume @p197 (forall @t219 (=> (and @t213 @t222 @t220 (|tptp.'@=<_succeeds'| @t244 (|tptp.'@*'| @t233 @t216))) @t260))) % 0.42/0.87 (assume @p198 (forall (@list @t129 @t127 @t217) (=> (and @t210 @t192 @t222 (= (|tptp.'@+'| @t129 @t217) (|tptp.'@+'| @t127 @t217))) (= @t129 @t127)))) % 0.42/0.87 (assume @p199 (forall @t214 (tptp.list_succeeds @t276))) % 0.42/0.87 (assume @p200 (forall @t226 (tptp.list_succeeds @t278))) % 0.42/0.87 (assume @p201 (forall @t219 (tptp.list_succeeds @t279))) % 0.42/0.87 (assume @p202 (forall @t283 (=> (tptp.list_succeeds @t282) @t281))) % 0.42/0.87 (assume @p203 (forall @t284 (=> @t281 (tptp.list_terminates @t280)))) % 0.42/0.87 (assume @p204 (forall @t283 (=> @t281 (tptp.member_terminates @t212 @t280)))) % 0.42/0.87 (assume @p205 (forall @t283 (=> @t281 (or @t286 @t285)))) % 0.42/0.87 (assume @p206 (forall @t283 (=> (and @t286 @t287) @t215))) % 0.42/0.87 (assume @p207 (forall (@list @t212 @t217 @t216 @t280) (=> (and (tptp.member_succeeds @t212 @t289) @t288) @t286))) % 0.42/0.87 (assume @p208 (forall @t295 (=> @t294 @t291))) % 0.42/0.87 (assume @p209 (forall @t295 (=> (and @t294 @t297) @t296))) % 0.42/0.87 (assume @p210 (forall @t295 (=> @t298 @t297))) % 0.42/0.87 (assume @p211 (forall @t295 (=> @t298 @t299))) % 0.42/0.87 (assume @p212 (forall @t295 (=> @t291 @t300))) % 0.42/0.87 (assume @p213 (forall @t295 (=> @t296 @t300))) % 0.42/0.87 (assume @p214 (forall @t295 (=> (and @t294 @t303 @t302) @t301))) % 0.42/0.87 (assume @p215 (forall @t295 (=> (and @t294 @t301) @t304))) % 0.42/0.87 (assume @p216 (forall @t306 (=> @t291 (exists @t305 @t294)))) % 0.42/0.87 (assume @p217 (forall @t308 (=> (and @t294 (tptp.append_succeeds @t290 @t293 @t307)) (= @t292 @t307)))) % 0.42/0.87 (assume @p218 @t310) % 0.42/0.87 (assume @p219 @t315) % 0.42/0.87 (assume @p220 @t317) % 0.42/0.87 (assume @p221 (forall @t306 (=> (and @t291 @t316) @t297))) % 0.42/0.87 (assume @p222 (forall @t306 (=> (and @t291 @t303 @t302) @t318))) % 0.42/0.87 (assume @p223 (forall @t306 (=> (and @t291 @t318) @t304))) % 0.42/0.87 (assume @p224 (forall @t295 (=> @t299 (= (|tptp.'**'| @t311 @t292) (|tptp.'**'| @t290 @t319))))) % 0.42/0.87 (assume @p225 (forall @t284 (=> @t281 (= (|tptp.'**'| @t280 tptp.nil) @t280)))) % 0.42/0.87 (assume @p226 (forall @t324 (=> @t323 @t322))) % 0.42/0.87 (assume @p227 (forall @t324 (=> @t281 (tptp.length_terminates @t280 @t320)))) % 0.42/0.87 (assume @p228 (forall @t324 (=> @t323 @t325))) % 0.42/0.87 (assume @p229 (forall @t284 (=> @t281 (exists @t326 @t323)))) % 0.42/0.87 (assume @p230 (forall (@list @t280 @t327 @t320) (=> (and (tptp.length_succeeds @t280 @t327) @t323) @t328))) % 0.42/0.87 (assume @p231 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 0.42/0.87 (assume @p232 (forall @t283 (=> @t281 (= @t330 (tptp.s @t329))))) % 0.42/0.87 (assume @p233 (forall @t284 (=> @t281 (tptp.nat_succeeds @t329)))) % 0.42/0.87 (assume @p234 (forall @t284 (=> (and @t281 (= @t329 |tptp.'0'|)) @t331))) % 0.42/0.87 (assume @p235 (forall (@list @t320 @t290) (=> (and @t291 (= @t334 @t333)) (exists (@list @t212 @t293) (= @t290 @t332))))) % 0.42/0.87 (assume @p236 (forall @t306 (=> @t299 (= @t337 @t336)))) % 0.42/0.87 (assume @p237 (forall @t306 (=> @t299 (|tptp.'@=<_succeeds'| @t334 @t337)))) % 0.42/0.87 (assume @p238 (forall @t306 (=> @t299 (|tptp.'@=<_succeeds'| @t335 @t337)))) % 0.42/0.87 (assume @p239 (forall @t283 (=> @t281 (|tptp.'@=<_succeeds'| @t329 @t330)))) % 0.42/0.87 (assume @p240 (forall @t295 (=> @t298 (= @t336 @t338)))) % 0.42/0.87 (assume @p241 (forall @t295 (=> @t298 (|tptp.'@=<_succeeds'| @t334 @t338)))) % 0.42/0.87 (assume @p242 (forall @t295 (=> @t298 (|tptp.'@=<_succeeds'| @t335 @t338)))) % 0.42/0.87 (assume @p243 (forall (@list @t212 @t339) (tptp.sub @t339 @t340))) % 0.42/0.87 (assume @p244 (forall @t284 (tptp.sub @t280 @t280))) % 0.42/0.87 (assume @p245 (forall (@list @t339 @t342 @t341) (=> (and @t343 (tptp.sub @t342 @t341)) (tptp.sub @t339 @t341)))) % 0.42/0.87 (assume @p246 (forall @t284 (tptp.sub tptp.nil @t280))) % 0.42/0.87 (assume @p247 (forall @t344 (=> (and @t343 (tptp.member_succeeds @t212 @t342)) (tptp.sub @t340 @t342)))) % 0.42/0.87 (assume @p248 (forall @t344 (=> @t343 (tptp.sub @t340 (tptp.cons @t212 @t342))))) % 0.42/0.87 (assume @p249 (forall (@list @t212 @t292) (=> @t346 (exists @t306 @t345)))) % 0.42/0.87 (assume @p250 (forall @t348 (=> (and @t294 @t347) @t346))) % 0.42/0.87 (assume @p251 (forall @t348 (=> (and @t294 @t349) @t346))) % 0.42/0.87 (assume @p252 (forall @t314 (=> (and @t347 @t291) @t350))) % 0.42/0.87 (assume @p253 (forall @t314 (=> (and @t349 @t291) @t350))) % 0.42/0.87 (assume @p254 (forall @t348 (=> @t345 @t346))) % 0.42/0.87 (assume @p255 (forall @t348 (=> (and @t294 @t346) @t351))) % 0.42/0.87 (assume @p256 (forall @t314 (=> (and @t291 @t350) @t351))) % 0.42/0.87 (assume @p257 (forall @t306 (=> @t291 (tptp.sub @t290 @t311)))) % 0.42/0.87 (assume @p258 (forall @t306 (=> @t291 (tptp.sub @t293 @t311)))) % 0.42/0.87 (assume @p259 (forall @t348 (=> @t298 (not (= @t293 (tptp.cons @t212 @t292)))))) % 0.42/0.87 (assume @p260 (forall @t306 (=> (and (tptp.append_succeeds @t290 @t293 @t293) @t297) (= @t290 tptp.nil)))) % 0.42/0.87 (assume @p261 (forall @t308 (=> (and @t294 (tptp.append_succeeds @t307 @t293 @t292) @t296) (= @t290 @t307)))) % 0.42/0.87 (assume @p262 (forall @t295 (=> (and @t291 @t297 @t296 (= (|tptp.'**'| @t290 @t292) @t319)) (= @t290 @t293)))) % 0.42/0.87 (assume @p263 (forall @t308 (=> (and @t294 (tptp.append_succeeds @t290 @t307 @t292)) (= @t293 @t307)))) % 0.42/0.87 (assume @p264 (forall @t284 (=> @t352 @t281))) % 0.42/0.87 (assume @p265 (forall @t284 (=> @t352 (tptp.nat_list_terminates @t280)))) % 0.42/0.87 (assume @p266 (forall @t214 (=> (tptp.nat_list_succeeds @t212) @t215))) % 0.42/0.87 (assume @p267 (forall (@list @t212 @t290 @t293 @t320) (=> (and @t291 @t297 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t312) @t335) @t333)) @t353))) % 0.42/0.87 (assume @p268 (forall (@list @t290 @t217 @t293 @t320) (=> (and @t291 @t297 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t334 (tptp.lh (tptp.cons @t217 @t293))) @t333)) @t353))) % 0.42/0.87 (assume @p269 (forall @t314 (=> @t291 @t354))) % 0.42/0.87 (assume @p270 (forall @t314 (=> @t297 @t354))) % 0.42/0.87 (assume @p271 (forall @t314 (=> @t356 @t297))) % 0.42/0.87 (assume @p272 (forall @t314 (=> (and @t355 @t297) @t291))) % 0.42/0.87 (assume @p273 (forall @t314 (=> @t356 (= @t334 (tptp.s @t335))))) % 0.42/0.87 (assume @p274 (forall @t314 (=> @t291 (tptp.delete_succeeds @t212 (|tptp.'**'| @t290 @t332) @t311)))) % 0.42/0.87 (assume @p275 (forall @t314 (=> @t355 (exists (@list @t292 @t307) (and @t296 (= @t290 (|tptp.'**'| @t292 (tptp.cons @t212 @t307))) (= @t293 @t357)))))) % 0.42/0.87 (assume @p276 (forall @t314 (=> (and @t355 @t359) (and @t213 @t358)))) % 0.42/0.87 (assume @p277 (forall @t314 (=> (and @t355 @t303) (and @t215 @t302)))) % 0.42/0.87 (assume @p278 (forall @t362 (=> (and @t355 @t361) (or @t360 (= @t217 @t212))))) % 0.42/0.87 (assume @p279 (forall @t314 (=> @t355 @t347))) % 0.42/0.87 (assume @p280 (forall @t362 (=> (and @t355 @t360) @t361))) % 0.42/0.87 (assume @p281 (forall (@list @t212 @t290) (=> @t347 @t364))) % 0.42/0.87 (assume @p282 (forall @t362 (=> (and @t355 @t361 @t288) @t360))) % 0.42/0.87 (assume @p283 (forall @t306 (=> @t365 @t299))) % 0.42/0.87 (assume @p284 (forall (@list @t320 @t290 @t293) (=> (and @t321 @t291 (= @t334 @t320)) @t366))) % 0.42/0.87 (assume @p285 (forall @t306 (=> @t291 @t366))) % 0.42/0.87 (assume @p286 (forall @t314 (=> @t299 (tptp.member2_terminates @t212 @t290 @t293)))) % 0.42/0.87 (assume @p287 (forall @t367 (=> (and @t281 @t287 @t215) (tptp.occ_terminates @t212 @t280 @t320)))) % 0.42/0.87 (assume @p288 (forall @t314 (=> (and (tptp.member2_succeeds @t212 @t290 @t293) @t303 @t302) @t215))) % 0.42/0.87 (assume @p289 (forall @t367 (=> @t368 @t325))) % 0.42/0.87 (assume @p290 (forall @t306 (=> @t369 (tptp.not_same_occ_terminates @t290 @t293)))) % 0.42/0.87 (assume @p291 (forall @t306 (=> @t369 (tptp.same_occ_terminates @t290 @t293)))) % 0.42/0.87 (assume @p292 (forall @t367 (=> @t368 @t322))) % 0.42/0.87 (assume @p293 (forall @t283 (=> @t281 (exists @t326 @t368)))) % 0.42/0.87 (assume @p294 (forall (@list @t212 @t280 @t327 @t320) (=> (and @t370 @t368) @t328))) % 0.42/0.87 (assume @p295 (forall @t214 (= (tptp.occ @t212 tptp.nil) |tptp.'0'|))) % 0.42/0.87 (assume @p296 (forall (@list @t212 @t217 @t280) (=> (and @t281 @t288) (= (tptp.occ @t212 @t289) @t371)))) % 0.42/0.87 (assume @p297 (forall @t283 (=> @t281 (= (tptp.occ @t212 @t282) (tptp.s @t371))))) % 0.42/0.87 (assume @p298 (forall @t283 (=> @t281 (tptp.nat_succeeds @t371)))) % 0.42/0.87 (assume @p299 (forall @t314 (=> @t299 (= (tptp.occ @t212 @t311) (|tptp.'@+'| @t373 @t372))))) % 0.42/0.87 (assume @p300 (forall @t362 (=> (and @t291 @t355 @t288) (= (tptp.occ @t217 @t290) (tptp.occ @t217 @t293))))) % 0.42/0.87 (assume @p301 (forall @t314 (=> (and @t291 @t355) (= @t373 (tptp.s @t372))))) % 0.42/0.87 (assume @p302 (forall @t306 (=> @t365 @t374))) % 0.42/0.87 (assume @p303 (forall @t306 (=> (and @t365 @t303 @t302) @t375))) % 0.42/0.87 (assume @p304 (forall @t284 (=> (and @t281 (forall @t214 @t376)) @t331))) % 0.42/0.87 (assume @p305 (forall (@list @t212 @t290 @t320) (=> (and @t291 (= @t373 @t333)) @t364))) % 0.42/0.87 (assume @p306 (forall @t363 (=> @t297 (forall @t377 (=> (and @t291 @t374) @t365))))) % 0.42/0.87 (assume @p307 (forall @t306 (=> (and @t297 @t291 @t374) @t365))) % 0.42/0.87 (assume @p308 (forall @t283 (=> (and @t281 @t285) @t376))) % 0.42/0.87 (assume @p309 (forall @t306 (=> @t378 @t374))) % 0.42/0.87 (assume @p310 (forall @t306 (=> @t378 @t365))) % 0.42/0.87 (assume @p311 (forall @t284 (=> @t281 (tptp.permutation_succeeds @t280 @t280)))) % 0.42/0.87 (assume @p312 (forall @t306 (=> @t365 (tptp.permutation_succeeds @t293 @t290)))) % 0.42/0.87 (assume @p313 (forall @t295 (=> (and @t365 (tptp.permutation_succeeds @t293 @t292)) @t379))) % 0.42/0.87 (assume @p314 (forall @t308 (=> (and @t379 (tptp.permutation_succeeds @t293 @t307)) (tptp.permutation_succeeds @t311 @t357)))) % 0.42/0.87 (assume @p315 (forall @t306 (=> @t299 (tptp.permutation_succeeds @t311 (|tptp.'**'| @t293 @t290))))) % 0.42/0.87 (assume @p316 (forall @t306 (=> (and @t365 @t359) @t358))) % 0.42/0.87 (assume @p317 (forall @t367 (=> (and @t281 (tptp.occ_succeeds @t212 @t280 @t333)) @t286))) % 0.42/0.87 (assume @p318 (forall @t367 (=> (and @t281 @t380) @t286))) % 0.42/0.87 (assume @p319 (forall @t283 (=> (and @t281 @t286) (exists @t326 @t380)))) % 0.42/0.87 (assume @p320 (forall @t314 (=> (and @t365 @t347) @t349))) % 0.42/0.87 (assume @p321 (forall @t314 (=> (tptp.permutation_succeeds @t312 @t332) @t365))) % 0.42/0.87 (assume @p322 (forall @t284 (=> (tptp.permutation_succeeds tptp.nil @t280) @t331))) % 0.42/0.87 (assume @p323 (forall @t306 (=> (and @t365 @t303) @t302))) % 0.42/0.87 (assume @p324 (forall @t306 (=> @t365 (= @t334 @t335)))) % 0.42/0.87 (assume @p325 (forall @t219 (=> @t213 (= (= @t232 @t216) @t221)))) % 0.42/0.87 (assume @p326 (forall @t219 (=> @t235 (= (= @t243 @t216) @t242)))) % 0.42/0.87 (assume @p327 (forall @t295 (=> @t291 (= (= @t311 @t292) @t294)))) % 0.42/0.87 (assume @p328 (forall @t324 (=> @t281 (= (= @t329 @t320) @t323)))) % 0.42/0.87 (assume @p329 (forall @t306 (= (tptp.sub @t290 @t293) (forall @t214 (=> @t347 @t349))))) % 0.42/0.87 (assume @p330 (forall (@list @t212 @t280 @t327) (=> @t281 (= (= @t371 @t327) @t370)))) % 0.42/0.87 (assume @p331 (forall @t306 (=> @t291 (= (= @t382 @t293) @t381)))) % 0.42/0.87 (assume @p332 (forall @t306 (=> @t381 @t299))) % 0.42/0.87 (assume @p333 (forall @t306 (=> @t291 (tptp.n_reverse_terminates @t290 @t293)))) % 0.42/0.87 (assume @p334 (forall @t295 (=> @t383 @t291))) % 0.42/0.87 (assume @p335 (forall @t295 (=> (and @t383 @t297) @t296))) % 0.42/0.87 (assume @p336 (forall @t295 (=> (and @t383 @t296) @t297))) % 0.42/0.87 (assume @p337 (forall @t295 (=> @t291 (tptp.a_reverse_terminates @t290 @t293 @t292)))) % 0.42/0.87 (assume @p338 (forall @t377 (=> @t291 (exists @t363 @t381)))) % 0.42/0.87 (assume @p339 (forall @t295 (=> (and @t381 @t385) @t384))) % 0.42/0.87 (assume @p340 (forall @t377 (=> @t291 (exists @t363 (and @t381 (forall @t305 (=> @t385 @t384))))))) % 0.42/0.87 (assume @p341 (forall @t306 (=> (and @t381 @t303) @t302))) % 0.42/0.87 (assume @p342 (= @t386 tptp.nil)) % 0.42/0.87 (assume @p343 @t389) % 0.42/0.87 (assume @p344 @t391) % 0.42/0.87 (assume @p345 (forall @t295 (=> @t383 (= (|tptp.'**'| @t382 @t293) @t292)))) % 0.42/0.87 (assume @p346 (forall @t306 (=> @t381 (forall @t305 (tptp.a_reverse_succeeds @t290 @t292 @t319))))) % 0.42/0.87 (assume @p347 (forall @t306 (= (tptp.reverse_succeeds @t290 @t293) @t381))) % 0.42/0.87 (assume @p348 (forall @t306 (=> @t291 (tptp.reverse_terminates @t290 @t293)))) % 0.42/0.87 (assume @p349 (forall @t306 (=> @t291 (= (tptp.reverse_fails @t290 @t293) (tptp.n_reverse_fails @t290 @t293))))) % 0.42/0.87 (assume @p350 @t393) % 0.42/0.87 (assume @p351 (forall @t226 (= (tptp.rev @t278) @t394))) % 0.42/0.87 (assume @p352 (forall @t219 (= (tptp.rev @t279) (tptp.cons @t216 @t394)))) % 0.42/0.87 (assume @p353 @t404) % 0.42/0.87 (assume @p354 @t407) % 0.42/0.87 (assume @p355 true) % 0.42/0.87 (step @p356 :rule symm :premises (@p342)) % 0.42/0.87 (step @p357 :rule refl :args (@t413)) % 0.42/0.87 (step @p358 :rule cong :premises (@p357 @p356) :args (@t414)) % 0.42/0.87 (step @p359 :rule eq-symm :args (@t392 @t276)) % 0.42/0.87 (step @p360 :rule cong :premises (@p359) :args (@t393)) % 0.42/0.87 (step @p361 :rule eq_resolve :premises (@p350 @p360)) % 0.42/0.87 (step 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0.42/0.87 (step @p596 :rule chain_m_resolution :premises (@p595 @p593 @p579) :args (@t559 @t543 (@list @t554 @t561))) % 0.42/0.87 (step @p597 :rule instantiate :premises (@p548) :args ((@list @t531 @t523 @t544))) % 0.42/0.87 (step @p598 :rule bool-impl-elim :args (@t281 @t388)) % 0.42/0.87 (step @p599 :rule cong :premises (@p598) :args (@t389)) % 0.42/0.87 (step @p600 :rule eq_resolve :premises (@p343 @p599)) % 0.42/0.87 (step @p601 :rule instantiate :premises (@p600) :args ((@list @t522))) % 0.42/0.87 (step @p602 :rule cnf_or_pos :args (@t563)) % 0.42/0.87 (step @p603 :rule reordering :premises (@p602) :args ((or @t527 @t562 (not @t563)))) % 0.42/0.87 (step @p604 :rule chain_m_resolution :premises (@p603 @p556 @p601) :args (@t562 @t543 (@list @t526 @t563))) % 0.42/0.87 (step @p605 :rule cnf_or_pos :args (@t568)) % 0.42/0.87 (step @p606 :rule reordering :premises (@p605) :args ((or @t567 @t566 (not @t568)))) % 0.42/0.87 (step @p607 :rule chain_m_resolution :premises (@p606 @p604 @p597) :args (@t566 @t543 (@list @t562 @t568))) % 0.42/0.87 (step @p608 :rule refl :args (@t569)) % 0.42/0.87 (step @p609 :rule refl :args (@t570)) % 0.42/0.87 (step @p610 :rule refl :args (@t571)) % 0.42/0.87 (step @p611 :rule refl :args (@t572)) % 0.42/0.87 (step @p612 :rule refl :args (@t573)) % 0.42/0.87 (step @p613 :rule bool-double-not-elim :args (@t534)) % 0.42/0.87 (step @p614 :rule nary_cong :premises (@p613 @p612 @p611 @p610 @p609 @p608) :args ((or (not @t537) @t573 @t572 @t571 @t570 @t569))) % 0.42/0.87 (assume-push @p665 @t537) % 0.42/0.87 (assume-push @p666 @t541) % 0.42/0.87 (assume-push @p667 @t546) % 0.42/0.87 (assume-push @p668 @t551) % 0.42/0.87 (assume-push @p669 @t559) % 0.42/0.87 (assume-push @p670 @t537) % 0.42/0.87 (assume-push @p671 @t541) % 0.42/0.87 (assume-push @p672 @t559) % 0.42/0.87 (assume-push @p673 @t551) % 0.42/0.87 (assume-push @p674 @t546) % 0.42/0.87 (step @p625 :rule false_intro :premises (@p665)) % 0.42/0.87 (step @p626 :rule symm :premises (@p667)) % 0.42/0.87 (step @p627 :rule refl :args (@t531)) % 0.42/0.87 (step @p628 :rule cong :premises (@p627 @p626) :args (@t564)) % 0.42/0.87 (step @p629 :rule symm :premises (@p666)) % 0.42/0.87 (step @p630 :rule cong :premises (@p629) :args (@t558)) % 0.42/0.87 (step @p631 :rule symm :premises (@p669)) % 0.42/0.87 (step @p632 :rule refl :args (@t544)) % 0.42/0.87 (step @p633 :rule symm :premises (@p668)) % 0.42/0.87 (step @p634 :rule cong :premises (@p633 @p632) :args (@t565)) % 0.42/0.87 (step @p635 :rule trans :premises (@p634 @p631 @p630)) % 0.42/0.87 (step @p636 :rule cong :premises (@p635 @p628) :args (@t566)) % 0.42/0.87 (step @p637 :rule trans :premises (@p636 @p625)) % 0.42/0.87 (step @p638 :rule false_elim :premises (@p637)) % 0.42/0.87 (step-pop @p675 :rule scope :premises (@p638)) % 0.42/0.87 (step-pop @p676 :rule scope :premises (@p675)) % 0.42/0.87 (step-pop @p677 :rule scope :premises (@p676)) % 0.42/0.87 (step-pop @p678 :rule scope :premises (@p677)) % 0.42/0.87 (step-pop @p679 :rule scope :premises (@p678)) % 0.42/0.87 (step @p639 :rule process_scope :premises (@p679) :args (@t569)) % 0.42/0.87 (step @p645 :rule and_intro :premises (@p665 @p666 @p669 @p668 @p667)) % 0.42/0.87 (step @p646 :rule modus_ponens :premises (@p645 @p639)) % 0.42/0.87 (step-pop @p680 :rule scope :premises (@p646)) % 0.42/0.87 (step-pop @p681 :rule scope :premises (@p680)) % 0.42/0.87 (step-pop @p682 :rule scope :premises (@p681)) % 0.42/0.87 (step-pop @p683 :rule scope :premises (@p682)) % 0.42/0.87 (step-pop @p684 :rule scope :premises (@p683)) % 0.42/0.87 (step @p647 :rule process_scope :premises (@p684) :args (@t569)) % 0.42/0.87 (step @p653 :rule implies_elim :premises (@p647)) % 0.42/0.87 (step @p654 :rule cnf_and_neg :args (@t574)) % 0.42/0.87 (step @p655 :rule resolution :premises (@p654 @p653) :args (true @t574)) % 0.42/0.87 (step @p656 :rule eq_resolve :premises (@p655 @p614)) % 0.42/0.87 (step @p657 :rule reordering :premises (@p656) :args ((or @t534 @t573 @t572 @t571 @t569 @t570))) % 0.42/0.87 (step @p658 false :rule chain_m_resolution :premises (@p657 @p607 @p596 @p578 @p566 @p559 @p545) :args (false (@list false false false false false true) (@list @t566 @t559 @t551 @t546 @t541 @t534))) % 0.42/0.87 ) % 0.42/0.87 % SZS output end Proof % 0.42/0.87 % cvc5 exiting %------------------------------------------------------------------------------