%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX061+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 2.42s 2.69s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX061+1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.25 % Computer : n024.cluster.edu % 0.09/0.25 % Model : x86_64 x86_64 % 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.25 % Memory : 8042.1875MB % 0.09/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.25 % CPULimit : 300 % 0.09/0.25 % WCLimit : 300 % 0.09/0.25 % DateTime : Tue Jun 2 17:54:45 EDT 2026 % 0.09/0.25 % CPUTime : % 0.16/0.36 %----Proving TF0_NAR, FOF, or CNF % 2.42/2.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.42/2.69 % SZS status Theorem % 2.42/2.69 % SZS output start Proof % 2.42/2.69 ( % 2.42/2.69 (declare-sort $$unsorted 0) % 2.42/2.69 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 2.42/2.69 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 2.42/2.69 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 2.42/2.69 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 2.42/2.69 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.n_reverse_terminates (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.a_reverse_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.reverse_terminates (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.reverse_succeeds (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.gr (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.reverse_fails (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.nil $$unsorted) % 2.42/2.69 (declare-const tptp.a_reverse_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.a_reverse_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.rev (-> $$unsorted $$unsorted)) % 2.42/2.69 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 2.42/2.69 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.n_reverse_fails (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.n_reverse_succeeds (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const |tptp.'0'| $$unsorted) % 2.42/2.69 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 2.42/2.69 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 2.42/2.69 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 2.42/2.69 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 2.42/2.69 (define @t1 () (@var "Xx3" $$unsorted)) % 2.42/2.69 (define @t2 () (tptp.s @t1)) % 2.42/2.69 (define @t3 () (@var "Xx5" $$unsorted)) % 2.42/2.69 (define @t4 () (@var "Xx4" $$unsorted)) % 2.42/2.69 (define @t5 () (tptp.cons @t4 @t3)) % 2.42/2.69 (define @t6 () (@list @t4 @t3)) % 2.42/2.69 (define @t7 () (@var "Xx7" $$unsorted)) % 2.42/2.69 (define @t8 () (@var "Xx6" $$unsorted)) % 2.42/2.69 (define @t9 () (tptp.s @t7)) % 2.42/2.69 (define @t10 () (@list @t8 @t7)) % 2.42/2.69 (define @t11 () (@var "Xx8" $$unsorted)) % 2.42/2.69 (define @t12 () (@var "Xx11" $$unsorted)) % 2.42/2.69 (define @t13 () (@var "Xx10" $$unsorted)) % 2.42/2.69 (define @t14 () (@var "Xx9" $$unsorted)) % 2.42/2.69 (define @t15 () (@var "Xx13" $$unsorted)) % 2.42/2.69 (define @t16 () (@var "Xx12" $$unsorted)) % 2.42/2.69 (define @t17 () (@var "Xx17" $$unsorted)) % 2.42/2.69 (define @t18 () (@var "Xx15" $$unsorted)) % 2.42/2.69 (define @t19 () (@var "Xx16" $$unsorted)) % 2.42/2.69 (define @t20 () (@var "Xx14" $$unsorted)) % 2.42/2.69 (define @t21 () (@var "Xx20" $$unsorted)) % 2.42/2.69 (define @t22 () (@var "Xx18" $$unsorted)) % 2.42/2.69 (define @t23 () (@var "Xx21" $$unsorted)) % 2.42/2.69 (define @t24 () (@var "Xx19" $$unsorted)) % 2.42/2.69 (define @t25 () (@var "Xx22" $$unsorted)) % 2.42/2.69 (define @t26 () (@var "Xx24" $$unsorted)) % 2.42/2.69 (define @t27 () (@var "Xx23" $$unsorted)) % 2.42/2.69 (define @t28 () (@var "Xx27" $$unsorted)) % 2.42/2.69 (define @t29 () (@var "Xx26" $$unsorted)) % 2.42/2.69 (define @t30 () (@var "Xx25" $$unsorted)) % 2.42/2.69 (define @t31 () (tptp.a_reverse_fails @t30 @t29 @t28)) % 2.42/2.69 (define @t32 () (tptp.a_reverse_succeeds @t30 @t29 @t28)) % 2.42/2.69 (define @t33 () (@list @t30 @t29 @t28)) % 2.42/2.69 (define @t34 () (@var "Xx29" $$unsorted)) % 2.42/2.69 (define @t35 () (@var "Xx28" $$unsorted)) % 2.42/2.69 (define @t36 () (tptp.reverse_fails @t35 @t34)) % 2.42/2.69 (define @t37 () (tptp.reverse_succeeds @t35 @t34)) % 2.42/2.69 (define @t38 () (@list @t35 @t34)) % 2.42/2.69 (define @t39 () (@var "Xx31" $$unsorted)) % 2.42/2.69 (define @t40 () (@var "Xx30" $$unsorted)) % 2.42/2.69 (define @t41 () (tptp.n_reverse_fails @t40 @t39)) % 2.42/2.69 (define @t42 () (tptp.n_reverse_succeeds @t40 @t39)) % 2.42/2.69 (define @t43 () (@list @t40 @t39)) % 2.42/2.69 (define @t44 () (@var "Xx34" $$unsorted)) % 2.42/2.69 (define @t45 () (@var "Xx33" $$unsorted)) % 2.42/2.69 (define @t46 () (@var "Xx32" $$unsorted)) % 2.42/2.69 (define @t47 () (tptp.member2_fails @t46 @t45 @t44)) % 2.42/2.69 (define @t48 () (tptp.member2_succeeds @t46 @t45 @t44)) % 2.42/2.69 (define @t49 () (@list @t46 @t45 @t44)) % 2.42/2.69 (define @t50 () (@var "Xx37" $$unsorted)) % 2.42/2.69 (define @t51 () (@var "Xx36" $$unsorted)) % 2.42/2.69 (define @t52 () (@var "Xx35" $$unsorted)) % 2.42/2.69 (define @t53 () (tptp.occ_fails @t52 @t51 @t50)) % 2.42/2.69 (define @t54 () (tptp.occ_succeeds @t52 @t51 @t50)) % 2.42/2.69 (define @t55 () (@list @t52 @t51 @t50)) % 2.42/2.69 (define @t56 () (@var "Xx39" $$unsorted)) % 2.42/2.69 (define @t57 () (@var "Xx38" $$unsorted)) % 2.42/2.69 (define @t58 () (tptp.not_same_occ_fails @t57 @t56)) % 2.42/2.69 (define @t59 () (tptp.not_same_occ_succeeds @t57 @t56)) % 2.42/2.69 (define @t60 () (@list @t57 @t56)) % 2.42/2.69 (define @t61 () (@var "Xx41" $$unsorted)) % 2.42/2.69 (define @t62 () (@var "Xx40" $$unsorted)) % 2.42/2.69 (define @t63 () (tptp.same_occ_fails @t62 @t61)) % 2.42/2.69 (define @t64 () (tptp.same_occ_succeeds @t62 @t61)) % 2.42/2.69 (define @t65 () (@list @t62 @t61)) % 2.42/2.69 (define @t66 () (@var "Xx43" $$unsorted)) % 2.42/2.69 (define @t67 () (@var "Xx42" $$unsorted)) % 2.42/2.69 (define @t68 () (tptp.permutation_fails @t67 @t66)) % 2.42/2.69 (define @t69 () (tptp.permutation_succeeds @t67 @t66)) % 2.42/2.69 (define @t70 () (@list @t67 @t66)) % 2.42/2.69 (define @t71 () (@var "Xx46" $$unsorted)) % 2.42/2.69 (define @t72 () (@var "Xx45" $$unsorted)) % 2.42/2.69 (define @t73 () (@var "Xx44" $$unsorted)) % 2.42/2.69 (define @t74 () (tptp.delete_fails @t73 @t72 @t71)) % 2.42/2.69 (define @t75 () (tptp.delete_succeeds @t73 @t72 @t71)) % 2.42/2.69 (define @t76 () (@list @t73 @t72 @t71)) % 2.42/2.69 (define @t77 () (@var "Xx48" $$unsorted)) % 2.42/2.69 (define @t78 () (@var "Xx47" $$unsorted)) % 2.42/2.69 (define @t79 () (tptp.length_fails @t78 @t77)) % 2.42/2.69 (define @t80 () (tptp.length_succeeds @t78 @t77)) % 2.42/2.69 (define @t81 () (@list @t78 @t77)) % 2.42/2.69 (define @t82 () (@var "Xx51" $$unsorted)) % 2.42/2.69 (define @t83 () (@var "Xx50" $$unsorted)) % 2.42/2.69 (define @t84 () (@var "Xx49" $$unsorted)) % 2.42/2.69 (define @t85 () (tptp.append_fails @t84 @t83 @t82)) % 2.42/2.69 (define @t86 () (tptp.append_succeeds @t84 @t83 @t82)) % 2.42/2.69 (define @t87 () (@list @t84 @t83 @t82)) % 2.42/2.69 (define @t88 () (@var "Xx53" $$unsorted)) % 2.42/2.69 (define @t89 () (@var "Xx52" $$unsorted)) % 2.42/2.69 (define @t90 () (tptp.member_fails @t89 @t88)) % 2.42/2.69 (define @t91 () (tptp.member_succeeds @t89 @t88)) % 2.42/2.69 (define @t92 () (@list @t89 @t88)) % 2.42/2.69 (define @t93 () (@var "Xx54" $$unsorted)) % 2.42/2.69 (define @t94 () (tptp.list_fails @t93)) % 2.42/2.69 (define @t95 () (tptp.list_succeeds @t93)) % 2.42/2.69 (define @t96 () (@list @t93)) % 2.42/2.69 (define @t97 () (@var "Xx55" $$unsorted)) % 2.42/2.69 (define @t98 () (tptp.nat_list_fails @t97)) % 2.42/2.69 (define @t99 () (tptp.nat_list_succeeds @t97)) % 2.42/2.69 (define @t100 () (@list @t97)) % 2.42/2.69 (define @t101 () (@var "Xx58" $$unsorted)) % 2.42/2.69 (define @t102 () (@var "Xx57" $$unsorted)) % 2.42/2.69 (define @t103 () (@var "Xx56" $$unsorted)) % 2.42/2.69 (define @t104 () (tptp.times_fails @t103 @t102 @t101)) % 2.42/2.69 (define @t105 () (tptp.times_succeeds @t103 @t102 @t101)) % 2.42/2.69 (define @t106 () (@list @t103 @t102 @t101)) % 2.42/2.69 (define @t107 () (@var "Xx61" $$unsorted)) % 2.42/2.69 (define @t108 () (@var "Xx60" $$unsorted)) % 2.42/2.69 (define @t109 () (@var "Xx59" $$unsorted)) % 2.42/2.69 (define @t110 () (tptp.plus_fails @t109 @t108 @t107)) % 2.42/2.69 (define @t111 () (tptp.plus_succeeds @t109 @t108 @t107)) % 2.42/2.69 (define @t112 () (@list @t109 @t108 @t107)) % 2.42/2.69 (define @t113 () (@var "Xx63" $$unsorted)) % 2.42/2.69 (define @t114 () (@var "Xx62" $$unsorted)) % 2.42/2.69 (define @t115 () (|tptp.'@=<_fails'| @t114 @t113)) % 2.42/2.69 (define @t116 () (|tptp.'@=<_succeeds'| @t114 @t113)) % 2.42/2.69 (define @t117 () (@list @t114 @t113)) % 2.42/2.69 (define @t118 () (@var "Xx65" $$unsorted)) % 2.42/2.69 (define @t119 () (@var "Xx64" $$unsorted)) % 2.42/2.69 (define @t120 () (|tptp.'@<_fails'| @t119 @t118)) % 2.42/2.69 (define @t121 () (|tptp.'@<_succeeds'| @t119 @t118)) % 2.42/2.69 (define @t122 () (@list @t119 @t118)) % 2.42/2.69 (define @t123 () (@var "Xx66" $$unsorted)) % 2.42/2.69 (define @t124 () (tptp.nat_fails @t123)) % 2.42/2.69 (define @t125 () (tptp.nat_succeeds @t123)) % 2.42/2.69 (define @t126 () (@list @t123)) % 2.42/2.69 (define @t127 () (@var "Xx2" $$unsorted)) % 2.42/2.69 (define @t128 () (= @t1 @t127)) % 2.42/2.69 (define @t129 () (@var "Xx1" $$unsorted)) % 2.42/2.69 (define @t130 () (= @t129 tptp.nil)) % 2.42/2.69 (define @t131 () (and @t130 @t128)) % 2.42/2.69 (define @t132 () (tptp.cons @t4 @t127)) % 2.42/2.69 (define @t133 () (= @t129 @t5)) % 2.42/2.69 (define @t134 () (@list @t129 @t127 @t1)) % 2.42/2.69 (define @t135 () (not @t128)) % 2.42/2.69 (define @t136 () (not @t130)) % 2.42/2.69 (define @t137 () (or @t136 @t135)) % 2.42/2.69 (define @t138 () (not @t133)) % 2.42/2.69 (define @t139 () (or @t136 true)) % 2.42/2.69 (define @t140 () (@list @t129 @t127)) % 2.42/2.69 (define @t141 () (= @t127 tptp.nil)) % 2.42/2.69 (define @t142 () (and @t130 @t141)) % 2.42/2.69 (define @t143 () (tptp.cons @t1 tptp.nil)) % 2.42/2.69 (define @t144 () (tptp.cons @t1 @t4)) % 2.42/2.69 (define @t145 () (= @t129 @t144)) % 2.42/2.69 (define @t146 () (@list @t1 @t4 @t3)) % 2.42/2.69 (define @t147 () (not @t141)) % 2.42/2.69 (define @t148 () (or @t136 @t147)) % 2.42/2.69 (define @t149 () (tptp.n_reverse_fails @t4 @t3)) % 2.42/2.69 (define @t150 () (not @t145)) % 2.42/2.69 (define @t151 () (tptp.member_succeeds @t129 @t127)) % 2.42/2.69 (define @t152 () (tptp.member_fails @t129 @t127)) % 2.42/2.69 (define @t153 () (tptp.member_terminates @t129 @t127)) % 2.42/2.69 (define @t154 () (= @t1 |tptp.'0'|)) % 2.42/2.69 (define @t155 () (= @t1 @t9)) % 2.42/2.69 (define @t156 () (= @t127 (tptp.cons @t129 @t8))) % 2.42/2.69 (define @t157 () (= @t129 @t4)) % 2.42/2.69 (define @t158 () (= @t127 @t5)) % 2.42/2.69 (define @t159 () (not @t154)) % 2.42/2.69 (define @t160 () (not @t155)) % 2.42/2.69 (define @t161 () (not @t156)) % 2.42/2.69 (define @t162 () (not @t158)) % 2.42/2.69 (define @t163 () (tptp.gr @t4)) % 2.42/2.69 (define @t164 () (tptp.gr @t129)) % 2.42/2.69 (define @t165 () (= @t4 @t3)) % 2.42/2.69 (define @t166 () (tptp.not_same_occ_succeeds @t129 @t127)) % 2.42/2.69 (define @t167 () (tptp.occ_fails @t1 @t127 @t3)) % 2.42/2.69 (define @t168 () (tptp.occ_fails @t1 @t129 @t4)) % 2.42/2.69 (define @t169 () (tptp.member2_fails @t1 @t129 @t127)) % 2.42/2.69 (define @t170 () (tptp.not_same_occ_fails @t129 @t127)) % 2.42/2.69 (define @t171 () (tptp.not_same_occ_terminates @t129 @t127)) % 2.42/2.69 (define @t172 () (= @t127 @t144)) % 2.42/2.69 (define @t173 () (tptp.delete_fails @t1 @t129 @t3)) % 2.42/2.69 (define @t174 () (not @t172)) % 2.42/2.69 (define @t175 () (= @t127 (tptp.cons @t129 @t1))) % 2.42/2.69 (define @t176 () (= @t1 (tptp.cons @t4 @t8))) % 2.42/2.69 (define @t177 () (@list @t4 @t3 @t8)) % 2.42/2.69 (define @t178 () (not @t176)) % 2.42/2.69 (define @t179 () (= @t127 |tptp.'0'|)) % 2.42/2.69 (define @t180 () (tptp.s @t3)) % 2.42/2.69 (define @t181 () (= @t127 @t180)) % 2.42/2.69 (define @t182 () (not @t181)) % 2.42/2.69 (define @t183 () (= @t127 (tptp.cons @t129 @t3))) % 2.42/2.69 (define @t184 () (@list @t3)) % 2.42/2.69 (define @t185 () (@list @t1 @t4)) % 2.42/2.69 (define @t186 () (= @t129 (tptp.cons @t127 @t1))) % 2.42/2.69 (define @t187 () (@list @t127 @t1)) % 2.42/2.69 (define @t188 () (@list @t129)) % 2.42/2.69 (define @t189 () (not @t186)) % 2.42/2.69 (define @t190 () (tptp.nat_succeeds @t127)) % 2.42/2.69 (define @t191 () (tptp.nat_fails @t127)) % 2.42/2.69 (define @t192 () (tptp.nat_terminates @t127)) % 2.42/2.69 (define @t193 () (= @t129 |tptp.'0'|)) % 2.42/2.69 (define @t194 () (tptp.s @t4)) % 2.42/2.69 (define @t195 () (= @t129 @t194)) % 2.42/2.69 (define @t196 () (not @t193)) % 2.42/2.69 (define @t197 () (tptp.times_fails @t4 @t127 @t3)) % 2.42/2.69 (define @t198 () (not @t195)) % 2.42/2.69 (define @t199 () (or @t196 true)) % 2.42/2.69 (define @t200 () (= @t1 @t180)) % 2.42/2.69 (define @t201 () (not @t200)) % 2.42/2.69 (define @t202 () (= @t127 @t194)) % 2.42/2.69 (define @t203 () (= @t129 @t2)) % 2.42/2.69 (define @t204 () (not @t202)) % 2.42/2.69 (define @t205 () (not @t203)) % 2.42/2.69 (define @t206 () (= @t129 (tptp.s @t127))) % 2.42/2.69 (define @t207 () (@list @t127)) % 2.42/2.69 (define @t208 () (tptp.nat_succeeds @t129)) % 2.42/2.69 (define @t209 () (not @t206)) % 2.42/2.69 (define @t210 () (@var "Xx" $$unsorted)) % 2.42/2.69 (define @t211 () (tptp.nat_succeeds @t210)) % 2.42/2.69 (define @t212 () (@list @t210)) % 2.42/2.69 (define @t213 () (tptp.gr @t210)) % 2.42/2.69 (define @t214 () (@var "Xz" $$unsorted)) % 2.42/2.69 (define @t215 () (@var "Xy" $$unsorted)) % 2.42/2.69 (define @t216 () (tptp.plus_terminates @t210 @t215 @t214)) % 2.42/2.69 (define @t217 () (@list @t210 @t215 @t214)) % 2.42/2.69 (define @t218 () (tptp.nat_succeeds @t214)) % 2.42/2.69 (define @t219 () (tptp.plus_succeeds @t210 @t215 @t214)) % 2.42/2.69 (define @t220 () (tptp.nat_succeeds @t215)) % 2.42/2.69 (define @t221 () (tptp.gr @t214)) % 2.42/2.69 (define @t222 () (tptp.gr @t215)) % 2.42/2.69 (define @t223 () (@list @t214)) % 2.42/2.69 (define @t224 () (@list @t210 @t215)) % 2.42/2.69 (define @t225 () (@var "Xz2" $$unsorted)) % 2.42/2.69 (define @t226 () (@var "Xz1" $$unsorted)) % 2.42/2.69 (define @t227 () (= @t226 @t225)) % 2.42/2.69 (define @t228 () (@list @t210 @t215 @t226 @t225)) % 2.42/2.69 (define @t229 () (@list @t215)) % 2.42/2.69 (define @t230 () (|tptp.'@+'| @t210 @t215)) % 2.42/2.69 (define @t231 () (tptp.s @t210)) % 2.42/2.69 (define @t232 () (|tptp.'@+'| @t231 @t215)) % 2.42/2.69 (define @t233 () (and @t211 @t220)) % 2.42/2.69 (define @t234 () (|tptp.'@+'| @t215 @t214)) % 2.42/2.69 (define @t235 () (and @t211 @t220 @t218)) % 2.42/2.69 (define @t236 () (tptp.s @t215)) % 2.42/2.69 (define @t237 () (|tptp.'@+'| @t210 @t236)) % 2.42/2.69 (define @t238 () (|tptp.'@+'| @t215 @t210)) % 2.42/2.69 (define @t239 () (|tptp.'@+'| @t210 @t214)) % 2.42/2.69 (define @t240 () (tptp.times_succeeds @t210 @t215 @t214)) % 2.42/2.69 (define @t241 () (|tptp.'@*'| @t210 @t215)) % 2.42/2.69 (define @t242 () (|tptp.'@*'| @t231 @t215)) % 2.42/2.69 (define @t243 () (|tptp.'@*'| @t215 @t214)) % 2.42/2.69 (define @t244 () (|tptp.'@*'| @t210 @t214)) % 2.42/2.69 (define @t245 () (|tptp.'@*'| @t215 @t210)) % 2.42/2.69 (define @t246 () (tptp.s |tptp.'0'|)) % 2.42/2.69 (define @t247 () (|tptp.'@<_terminates'| @t210 @t215)) % 2.42/2.69 (define @t248 () (|tptp.'@<_succeeds'| @t210 @t215)) % 2.42/2.69 (define @t249 () (tptp.s @t214)) % 2.42/2.69 (define @t250 () (|tptp.'@<_succeeds'| @t210 @t214)) % 2.42/2.69 (define @t251 () (|tptp.'@<_succeeds'| @t210 @t236)) % 2.42/2.69 (define @t252 () (|tptp.'@<_succeeds'| @t215 @t214)) % 2.42/2.69 (define @t253 () (= @t210 @t215)) % 2.42/2.69 (define @t254 () (or @t248 @t253)) % 2.42/2.69 (define @t255 () (not (= @t210 |tptp.'0'|))) % 2.42/2.69 (define @t256 () (|tptp.'@=<_succeeds'| @t210 @t215)) % 2.42/2.69 (define @t257 () (|tptp.'@=<_succeeds'| @t215 @t210)) % 2.42/2.69 (define @t258 () (|tptp.'@=<_succeeds'| @t215 @t214)) % 2.42/2.69 (define @t259 () (|tptp.'@<_succeeds'| @t230 @t239)) % 2.42/2.69 (define @t260 () (|tptp.'@<_succeeds'| @t239 @t234)) % 2.42/2.69 (define @t261 () (|tptp.'@=<_succeeds'| @t230 @t239)) % 2.42/2.69 (define @t262 () (and @t256 @t220 @t218)) % 2.42/2.69 (define @t263 () (@var "Xy2" $$unsorted)) % 2.42/2.69 (define @t264 () (@var "Xy1" $$unsorted)) % 2.42/2.69 (define @t265 () (|tptp.'@+'| @t264 @t263)) % 2.42/2.69 (define @t266 () (|tptp.'@+'| @t129 @t127)) % 2.42/2.69 (define @t267 () (tptp.nat_succeeds @t264)) % 2.42/2.69 (define @t268 () (|tptp.'@=<_succeeds'| @t127 @t263)) % 2.42/2.69 (define @t269 () (|tptp.'@=<_succeeds'| @t129 @t264)) % 2.42/2.69 (define @t270 () (@list @t129 @t127 @t264 @t263)) % 2.42/2.69 (define @t271 () (|tptp.'@<_succeeds'| @t266 @t265)) % 2.42/2.69 (define @t272 () (|tptp.'@<_succeeds'| @t129 @t264)) % 2.42/2.69 (define @t273 () (|tptp.'@<_succeeds'| @t127 @t263)) % 2.42/2.69 (define @t274 () (tptp.cons @t210 tptp.nil)) % 2.42/2.69 (define @t275 () (@var "Xl" $$unsorted)) % 2.42/2.69 (define @t276 () (tptp.list_succeeds @t275)) % 2.42/2.69 (define @t277 () (tptp.cons @t210 @t275)) % 2.42/2.69 (define @t278 () (tptp.list_succeeds @t277)) % 2.42/2.69 (define @t279 () (@list @t210 @t275)) % 2.42/2.69 (define @t280 () (forall @t279 (=> @t278 @t276))) % 2.42/2.69 (define @t281 () (@list @t275)) % 2.42/2.69 (define @t282 () (tptp.member_fails @t210 @t275)) % 2.42/2.69 (define @t283 () (tptp.member_succeeds @t210 @t275)) % 2.42/2.69 (define @t284 () (tptp.gr @t275)) % 2.42/2.69 (define @t285 () (not @t253)) % 2.42/2.69 (define @t286 () (tptp.cons @t215 @t275)) % 2.42/2.69 (define @t287 () (@var "Xl1" $$unsorted)) % 2.42/2.69 (define @t288 () (tptp.list_succeeds @t287)) % 2.42/2.69 (define @t289 () (@var "Xl3" $$unsorted)) % 2.42/2.69 (define @t290 () (@var "Xl2" $$unsorted)) % 2.42/2.69 (define @t291 () (tptp.append_succeeds @t287 @t290 @t289)) % 2.42/2.69 (define @t292 () (@list @t287 @t290 @t289)) % 2.42/2.69 (define @t293 () (tptp.list_succeeds @t289)) % 2.42/2.69 (define @t294 () (tptp.list_succeeds @t290)) % 2.42/2.69 (define @t295 () (and @t291 @t293)) % 2.42/2.69 (define @t296 () (and @t288 @t294)) % 2.42/2.69 (define @t297 () (tptp.append_terminates @t287 @t290 @t289)) % 2.42/2.69 (define @t298 () (tptp.gr @t289)) % 2.42/2.69 (define @t299 () (tptp.gr @t290)) % 2.42/2.69 (define @t300 () (tptp.gr @t287)) % 2.42/2.69 (define @t301 () (and @t300 @t299)) % 2.42/2.69 (define @t302 () (@list @t289)) % 2.42/2.69 (define @t303 () (@list @t287 @t290)) % 2.42/2.69 (define @t304 () (@var "Xl4" $$unsorted)) % 2.42/2.69 (define @t305 () (@list @t287 @t290 @t289 @t304)) % 2.42/2.69 (define @t306 () (|tptp.'**'| tptp.nil @t275)) % 2.42/2.69 (define @t307 () (forall @t281 (= @t306 @t275))) % 2.42/2.69 (define @t308 () (|tptp.'**'| @t287 @t290)) % 2.42/2.69 (define @t309 () (tptp.cons @t210 @t287)) % 2.42/2.69 (define @t310 () (= (|tptp.'**'| @t309 @t290) (tptp.cons @t210 @t308))) % 2.42/2.69 (define @t311 () (@list @t210 @t287 @t290)) % 2.42/2.69 (define @t312 () (forall @t311 (=> @t288 @t310))) % 2.42/2.69 (define @t313 () (tptp.list_succeeds @t308)) % 2.42/2.69 (define @t314 () (tptp.gr @t308)) % 2.42/2.69 (define @t315 () (|tptp.'**'| @t290 @t289)) % 2.42/2.69 (define @t316 () (= (|tptp.'**'| @t308 @t289) (|tptp.'**'| @t287 @t315))) % 2.42/2.69 (define @t317 () (forall @t292 (=> @t296 @t316))) % 2.42/2.69 (define @t318 () (@var "Xn" $$unsorted)) % 2.42/2.69 (define @t319 () (tptp.nat_succeeds @t318)) % 2.42/2.69 (define @t320 () (and @t276 @t319)) % 2.42/2.69 (define @t321 () (tptp.length_succeeds @t275 @t318)) % 2.42/2.69 (define @t322 () (@list @t275 @t318)) % 2.42/2.69 (define @t323 () (tptp.gr @t318)) % 2.42/2.69 (define @t324 () (@list @t318)) % 2.42/2.69 (define @t325 () (@var "Xm" $$unsorted)) % 2.42/2.69 (define @t326 () (= @t325 @t318)) % 2.42/2.69 (define @t327 () (tptp.lh @t275)) % 2.42/2.69 (define @t328 () (tptp.lh @t277)) % 2.42/2.69 (define @t329 () (= @t275 tptp.nil)) % 2.42/2.69 (define @t330 () (tptp.cons @t210 @t290)) % 2.42/2.69 (define @t331 () (tptp.s @t318)) % 2.42/2.69 (define @t332 () (tptp.lh @t287)) % 2.42/2.69 (define @t333 () (tptp.lh @t290)) % 2.42/2.69 (define @t334 () (|tptp.'@+'| @t332 @t333)) % 2.42/2.69 (define @t335 () (tptp.lh @t308)) % 2.42/2.69 (define @t336 () (tptp.lh @t289)) % 2.42/2.69 (define @t337 () (@var "Xi" $$unsorted)) % 2.42/2.69 (define @t338 () (tptp.cons @t210 @t337)) % 2.42/2.69 (define @t339 () (@var "Xk" $$unsorted)) % 2.42/2.69 (define @t340 () (@var "Xj" $$unsorted)) % 2.42/2.69 (define @t341 () (tptp.sub @t337 @t340)) % 2.42/2.69 (define @t342 () (@list @t210 @t337 @t340)) % 2.42/2.69 (define @t343 () (tptp.append_succeeds @t287 @t330 @t289)) % 2.42/2.69 (define @t344 () (tptp.member_succeeds @t210 @t289)) % 2.42/2.69 (define @t345 () (tptp.member_succeeds @t210 @t287)) % 2.42/2.69 (define @t346 () (@list @t210 @t287 @t290 @t289)) % 2.42/2.69 (define @t347 () (tptp.member_succeeds @t210 @t290)) % 2.42/2.69 (define @t348 () (tptp.member_succeeds @t210 @t308)) % 2.42/2.69 (define @t349 () (or @t345 @t347)) % 2.42/2.69 (define @t350 () (= @t287 tptp.nil)) % 2.42/2.69 (define @t351 () (tptp.nat_list_succeeds @t275)) % 2.42/2.69 (define @t352 () (|tptp.'@<_succeeds'| @t334 @t318)) % 2.42/2.69 (define @t353 () (tptp.delete_terminates @t210 @t287 @t290)) % 2.42/2.69 (define @t354 () (tptp.delete_succeeds @t210 @t287 @t290)) % 2.42/2.69 (define @t355 () (and @t354 @t288)) % 2.42/2.69 (define @t356 () (|tptp.'**'| @t289 @t304)) % 2.42/2.69 (define @t357 () (tptp.nat_list_succeeds @t290)) % 2.42/2.69 (define @t358 () (tptp.nat_list_succeeds @t287)) % 2.42/2.69 (define @t359 () (tptp.member_succeeds @t215 @t290)) % 2.42/2.69 (define @t360 () (tptp.member_succeeds @t215 @t287)) % 2.42/2.69 (define @t361 () (@list @t210 @t215 @t287 @t290)) % 2.42/2.69 (define @t362 () (@list @t290)) % 2.42/2.69 (define @t363 () (exists @t362 @t354)) % 2.42/2.69 (define @t364 () (tptp.permutation_succeeds @t287 @t290)) % 2.42/2.69 (define @t365 () (tptp.permutation_terminates @t287 @t290)) % 2.42/2.69 (define @t366 () (@list @t210 @t275 @t318)) % 2.42/2.69 (define @t367 () (tptp.occ_succeeds @t210 @t275 @t318)) % 2.42/2.69 (define @t368 () (and @t288 @t294 @t300 @t299)) % 2.42/2.69 (define @t369 () (tptp.occ_succeeds @t210 @t275 @t325)) % 2.42/2.69 (define @t370 () (tptp.occ @t210 @t275)) % 2.42/2.69 (define @t371 () (tptp.occ @t210 @t290)) % 2.42/2.69 (define @t372 () (tptp.occ @t210 @t287)) % 2.42/2.69 (define @t373 () (forall @t212 (= @t372 @t371))) % 2.42/2.69 (define @t374 () (tptp.same_occ_succeeds @t287 @t290)) % 2.42/2.69 (define @t375 () (= @t370 |tptp.'0'|)) % 2.42/2.69 (define @t376 () (@list @t287)) % 2.42/2.69 (define @t377 () (and @t288 @t294 @t374)) % 2.42/2.69 (define @t378 () (tptp.permutation_succeeds @t287 @t289)) % 2.42/2.69 (define @t379 () (= @t370 @t331)) % 2.42/2.69 (define @t380 () (tptp.n_reverse_succeeds @t287 @t290)) % 2.42/2.69 (define @t381 () (tptp.rev @t287)) % 2.42/2.69 (define @t382 () (tptp.a_reverse_succeeds @t287 @t290 @t289)) % 2.42/2.69 (define @t383 () (forall @t292 (=> @t382 @t288))) % 2.42/2.69 (define @t384 () (= @t290 @t289)) % 2.42/2.69 (define @t385 () (tptp.n_reverse_succeeds @t287 @t289)) % 2.42/2.69 (define @t386 () (tptp.rev tptp.nil)) % 2.42/2.69 (define @t387 () (tptp.rev @t275)) % 2.42/2.69 (define @t388 () (tptp.list_succeeds @t387)) % 2.42/2.69 (define @t389 () (forall @t281 (=> @t276 @t388))) % 2.42/2.69 (define @t390 () (= (tptp.rev @t277) (|tptp.'**'| @t387 @t274))) % 2.42/2.69 (define @t391 () (forall @t279 (=> @t276 @t390))) % 2.42/2.69 (define @t392 () (|tptp.'**'| @t381 @t290)) % 2.42/2.69 (define @t393 () (= @t392 @t289)) % 2.42/2.69 (define @t394 () (=> @t382 @t393)) % 2.42/2.69 (define @t395 () (forall @t292 @t394)) % 2.42/2.69 (define @t396 () (and @t350 (= @t289 @t290))) % 2.42/2.69 (define @t397 () (tptp.cons @t4 @t290)) % 2.42/2.69 (define @t398 () (|tptp.'**'| (tptp.rev @t3) @t397)) % 2.42/2.69 (define @t399 () (tptp.a_reverse_succeeds @t3 @t397 @t289)) % 2.42/2.69 (define @t400 () (and (= @t287 @t5) @t399 (= @t398 @t289))) % 2.42/2.69 (define @t401 () (exists @t6 @t400)) % 2.42/2.69 (define @t402 () (or @t401 @t396)) % 2.42/2.69 (define @t403 () (=> @t402 @t393)) % 2.42/2.69 (define @t404 () (forall @t292 @t403)) % 2.42/2.69 (define @t405 () (=> @t404 @t395)) % 2.42/2.69 (define @t406 () (not @t395)) % 2.42/2.69 (define @t407 () (= @t289 @t392)) % 2.42/2.69 (define @t408 () (= tptp.nil @t287)) % 2.42/2.69 (define @t409 () (or (not @t408) (not @t384))) % 2.42/2.69 (define @t410 () (@var "BOUND_VARIABLE_11253" $$unsorted)) % 2.42/2.69 (define @t411 () (tptp.cons @t410 @t290)) % 2.42/2.69 (define @t412 () (@var "BOUND_VARIABLE_11255" $$unsorted)) % 2.42/2.69 (define @t413 () (not (= @t289 (|tptp.'**'| (tptp.rev @t412) @t411)))) % 2.42/2.69 (define @t414 () (not (tptp.a_reverse_succeeds @t412 @t411 @t289))) % 2.42/2.69 (define @t415 () (tptp.cons @t410 @t412)) % 2.42/2.69 (define @t416 () (not (= @t415 @t287))) % 2.42/2.69 (define @t417 () (or @t416 @t414 @t413)) % 2.42/2.69 (define @t418 () (and @t417 @t409)) % 2.42/2.69 (define @t419 () (or @t418 @t407)) % 2.42/2.69 (define @t420 () (@list @t287 @t290 @t289 @t410 @t412)) % 2.42/2.69 (define @t421 () (forall @t420 @t419)) % 2.42/2.69 (define @t422 () (@list @t410 @t412)) % 2.42/2.69 (define @t423 () (forall @t422 @t419)) % 2.42/2.69 (define @t424 () (forall @t422 @t409)) % 2.42/2.69 (define @t425 () (forall @t422 @t417)) % 2.42/2.69 (define @t426 () (and @t425 @t424)) % 2.42/2.69 (define @t427 () (forall @t422 @t418)) % 2.42/2.69 (define @t428 () (or @t427 @t407)) % 2.42/2.69 (define @t429 () (= @t289 @t398)) % 2.42/2.69 (define @t430 () (not @t429)) % 2.42/2.69 (define @t431 () (not @t399)) % 2.42/2.69 (define @t432 () (= @t5 @t287)) % 2.42/2.69 (define @t433 () (not @t432)) % 2.42/2.69 (define @t434 () (or @t433 @t431 @t430)) % 2.42/2.69 (define @t435 () (forall @t6 @t434)) % 2.42/2.69 (define @t436 () (and @t408 @t384)) % 2.42/2.69 (define @t437 () (not @t436)) % 2.42/2.69 (define @t438 () (not @t435)) % 2.42/2.69 (define @t439 () (or @t438 @t436)) % 2.42/2.69 (define @t440 () (and @t432 @t399 @t429)) % 2.42/2.69 (define @t441 () (forall @t6 (not @t440))) % 2.42/2.69 (define @t442 () (not @t441)) % 2.42/2.69 (define @t443 () (forall @t420 (or (and (or (not (= @t287 @t415)) @t414 @t413) @t409) @t407))) % 2.42/2.69 (define @t444 () (not @t443)) % 2.42/2.69 (define @t445 () (forall @t292 (or (not @t382) @t407))) % 2.42/2.69 (define @t446 () (@list true)) % 2.42/2.69 (define @t447 () (@quantifiers_skolemize @t443 1)) % 2.42/2.69 (define @t448 () (@quantifiers_skolemize @t443 0)) % 2.42/2.69 (define @t449 () (@quantifiers_skolemize @t443 2)) % 2.42/2.69 (define @t450 () (= @t449 (|tptp.'**'| (tptp.rev @t448) @t447))) % 2.42/2.69 (define @t451 () (= @t447 @t449)) % 2.42/2.69 (define @t452 () (not @t451)) % 2.42/2.69 (define @t453 () (= tptp.nil @t448)) % 2.42/2.69 (define @t454 () (not @t453)) % 2.42/2.69 (define @t455 () (or @t454 @t452)) % 2.42/2.69 (define @t456 () (@quantifiers_skolemize @t443 3)) % 2.42/2.69 (define @t457 () (tptp.cons @t456 @t447)) % 2.42/2.69 (define @t458 () (@quantifiers_skolemize @t443 4)) % 2.42/2.69 (define @t459 () (tptp.rev @t458)) % 2.42/2.69 (define @t460 () (|tptp.'**'| @t459 @t457)) % 2.42/2.69 (define @t461 () (= @t449 @t460)) % 2.42/2.69 (define @t462 () (not @t461)) % 2.42/2.69 (define @t463 () (tptp.a_reverse_succeeds @t458 @t457 @t449)) % 2.42/2.69 (define @t464 () (not @t463)) % 2.42/2.69 (define @t465 () (tptp.cons @t456 @t458)) % 2.42/2.69 (define @t466 () (= @t448 @t465)) % 2.42/2.69 (define @t467 () (not @t466)) % 2.42/2.69 (define @t468 () (or @t467 @t464 @t462)) % 2.42/2.69 (define @t469 () (and @t468 @t455)) % 2.42/2.69 (define @t470 () (or @t469 @t450)) % 2.42/2.69 (define @t471 () (@list @t470)) % 2.42/2.69 (define @t472 () (= tptp.nil @t386)) % 2.42/2.69 (define @t473 () (|tptp.'**'| tptp.nil @t447)) % 2.42/2.69 (define @t474 () (= @t447 @t473)) % 2.42/2.69 (define @t475 () (and @t472 @t453 @t451 @t474)) % 2.42/2.69 (define @t476 () (not @t474)) % 2.42/2.69 (define @t477 () (@list @t468)) % 2.42/2.69 (define @t478 () (tptp.list_succeeds @t458)) % 2.42/2.69 (define @t479 () (or @t464 @t478)) % 2.42/2.69 (define @t480 () (@list false false)) % 2.42/2.69 (define @t481 () (tptp.cons @t456 tptp.nil)) % 2.42/2.69 (define @t482 () (|tptp.'**'| @t459 @t481)) % 2.42/2.69 (define @t483 () (tptp.rev @t465)) % 2.42/2.69 (define @t484 () (= @t483 @t482)) % 2.42/2.69 (define @t485 () (not @t478)) % 2.42/2.69 (define @t486 () (or @t485 @t484)) % 2.42/2.69 (define @t487 () (not @t294)) % 2.42/2.69 (define @t488 () (not @t288)) % 2.42/2.69 (define @t489 () (tptp.list_succeeds @t459)) % 2.42/2.69 (define @t490 () (or @t485 @t489)) % 2.42/2.69 (define @t491 () (|tptp.'**'| @t481 @t447)) % 2.42/2.69 (define @t492 () (|tptp.'**'| @t482 @t447)) % 2.42/2.69 (define @t493 () (= @t492 (|tptp.'**'| @t459 @t491))) % 2.42/2.69 (define @t494 () (tptp.list_succeeds @t481)) % 2.42/2.69 (define @t495 () (not @t494)) % 2.42/2.69 (define @t496 () (not @t489)) % 2.42/2.69 (define @t497 () (or @t496 @t495 @t493)) % 2.42/2.69 (define @t498 () (tptp.list_succeeds tptp.nil)) % 2.42/2.69 (define @t499 () (or @t495 @t498)) % 2.42/2.69 (define @t500 () (= @t491 (tptp.cons @t456 @t473))) % 2.42/2.69 (define @t501 () (not @t498)) % 2.42/2.69 (define @t502 () (or @t501 @t500)) % 2.42/2.69 (define @t503 () (and @t466 @t461 @t474 @t484 @t493 @t500)) % 2.42/2.69 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 2.42/2.69 (assume @p2 (not (= |tptp.'0'| tptp.nil))) % 2.42/2.69 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 2.42/2.69 (assume @p4 (forall @t10 (=> (= (tptp.s @t8) @t9) (= @t8 @t7)))) % 2.42/2.69 (assume @p5 (forall (@list @t11) (not (= tptp.nil (tptp.s @t11))))) % 2.42/2.69 (assume @p6 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 2.42/2.69 (assume @p7 (forall (@list @t16 @t15) (not (= tptp.nil (tptp.cons @t16 @t15))))) % 2.42/2.69 (assume @p8 (forall (@list @t20 @t18 @t19 @t17) (=> (= (tptp.cons @t20 @t18) (tptp.cons @t19 @t17)) (= @t18 @t17)))) % 2.42/2.69 (assume @p9 (forall (@list @t22 @t24 @t21 @t23) (=> (= (tptp.cons @t22 @t24) (tptp.cons @t21 @t23)) (= @t22 @t21)))) % 2.42/2.69 (assume @p10 (tptp.gr |tptp.'0'|)) % 2.42/2.69 (assume @p11 (forall (@list @t25) (= (tptp.gr @t25) (tptp.gr (tptp.s @t25))))) % 2.42/2.69 (assume @p12 (tptp.gr tptp.nil)) % 2.42/2.69 (assume @p13 (forall (@list @t27 @t26) (= (and (tptp.gr @t27) (tptp.gr @t26)) (tptp.gr (tptp.cons @t27 @t26))))) % 2.42/2.69 (assume @p14 (forall @t33 (not (and @t32 @t31)))) % 2.42/2.69 (assume @p15 (forall @t33 (=> (tptp.a_reverse_terminates @t30 @t29 @t28) (or @t32 @t31)))) % 2.42/2.69 (assume @p16 (forall @t38 (not (and @t37 @t36)))) % 2.42/2.69 (assume @p17 (forall @t38 (=> (tptp.reverse_terminates @t35 @t34) (or @t37 @t36)))) % 2.42/2.69 (assume @p18 (forall @t43 (not (and @t42 @t41)))) % 2.42/2.69 (assume @p19 (forall @t43 (=> (tptp.n_reverse_terminates @t40 @t39) (or @t42 @t41)))) % 2.42/2.69 (assume @p20 (forall @t49 (not (and @t48 @t47)))) % 2.42/2.69 (assume @p21 (forall @t49 (=> (tptp.member2_terminates @t46 @t45 @t44) (or @t48 @t47)))) % 2.42/2.69 (assume @p22 (forall @t55 (not (and @t54 @t53)))) % 2.42/2.69 (assume @p23 (forall @t55 (=> (tptp.occ_terminates @t52 @t51 @t50) (or @t54 @t53)))) % 2.42/2.69 (assume @p24 (forall @t60 (not (and @t59 @t58)))) % 2.42/2.69 (assume @p25 (forall @t60 (=> (tptp.not_same_occ_terminates @t57 @t56) (or @t59 @t58)))) % 2.42/2.69 (assume @p26 (forall @t65 (not (and @t64 @t63)))) % 2.42/2.69 (assume @p27 (forall @t65 (=> (tptp.same_occ_terminates @t62 @t61) (or @t64 @t63)))) % 2.42/2.69 (assume @p28 (forall @t70 (not (and @t69 @t68)))) % 2.42/2.69 (assume @p29 (forall @t70 (=> (tptp.permutation_terminates @t67 @t66) (or @t69 @t68)))) % 2.42/2.69 (assume @p30 (forall @t76 (not (and @t75 @t74)))) % 2.42/2.69 (assume @p31 (forall @t76 (=> (tptp.delete_terminates @t73 @t72 @t71) (or @t75 @t74)))) % 2.42/2.69 (assume @p32 (forall @t81 (not (and @t80 @t79)))) % 2.42/2.69 (assume @p33 (forall @t81 (=> (tptp.length_terminates @t78 @t77) (or @t80 @t79)))) % 2.42/2.69 (assume @p34 (forall @t87 (not (and @t86 @t85)))) % 2.42/2.69 (assume @p35 (forall @t87 (=> (tptp.append_terminates @t84 @t83 @t82) (or @t86 @t85)))) % 2.42/2.69 (assume @p36 (forall @t92 (not (and @t91 @t90)))) % 2.42/2.69 (assume @p37 (forall @t92 (=> (tptp.member_terminates @t89 @t88) (or @t91 @t90)))) % 2.42/2.69 (assume @p38 (forall @t96 (not (and @t95 @t94)))) % 2.42/2.69 (assume @p39 (forall @t96 (=> (tptp.list_terminates @t93) (or @t95 @t94)))) % 2.42/2.69 (assume @p40 (forall @t100 (not (and @t99 @t98)))) % 2.42/2.69 (assume @p41 (forall @t100 (=> (tptp.nat_list_terminates @t97) (or @t99 @t98)))) % 2.42/2.69 (assume @p42 (forall @t106 (not (and @t105 @t104)))) % 2.42/2.69 (assume @p43 (forall @t106 (=> (tptp.times_terminates @t103 @t102 @t101) (or @t105 @t104)))) % 2.42/2.69 (assume @p44 (forall @t112 (not (and @t111 @t110)))) % 2.42/2.69 (assume @p45 (forall @t112 (=> (tptp.plus_terminates @t109 @t108 @t107) (or @t111 @t110)))) % 2.42/2.69 (assume @p46 (forall @t117 (not (and @t116 @t115)))) % 2.42/2.69 (assume @p47 (forall @t117 (=> (|tptp.'@=<_terminates'| @t114 @t113) (or @t116 @t115)))) % 2.42/2.69 (assume @p48 (forall @t122 (not (and @t121 @t120)))) % 2.42/2.69 (assume @p49 (forall @t122 (=> (|tptp.'@<_terminates'| @t119 @t118) (or @t121 @t120)))) % 2.42/2.69 (assume @p50 (forall @t126 (not (and @t125 @t124)))) % 2.42/2.69 (assume @p51 (forall @t126 (=> (tptp.nat_terminates @t123) (or @t125 @t124)))) % 2.42/2.69 (assume @p52 (forall @t134 (= (tptp.a_reverse_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t133 (tptp.a_reverse_succeeds @t3 @t132 @t1))) @t131)))) % 2.42/2.69 (assume @p53 (forall @t134 (= (tptp.a_reverse_fails @t129 @t127 @t1) (and (forall @t6 (or @t138 (tptp.a_reverse_fails @t3 @t132 @t1))) @t137)))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p55 (forall @t140 (= (tptp.reverse_succeeds @t129 @t127) (tptp.a_reverse_succeeds @t129 tptp.nil @t127)))) % 2.42/2.69 (assume @p56 (forall @t140 (= (tptp.reverse_fails @t129 @t127) (tptp.a_reverse_fails @t129 tptp.nil @t127)))) % 2.42/2.69 (assume @p57 (forall @t140 (= (tptp.reverse_terminates @t129 @t127) (tptp.a_reverse_terminates @t129 tptp.nil @t127)))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p59 (forall @t140 (= (tptp.n_reverse_fails @t129 @t127) (and (forall @t146 (or @t150 @t149 (tptp.append_fails @t3 @t143 @t127))) @t148)))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p61 (forall @t134 (= (tptp.member2_succeeds @t129 @t127 @t1) (or (tptp.member_succeeds @t129 @t1) @t151)))) % 2.42/2.69 (assume @p62 (forall @t134 (= (tptp.member2_fails @t129 @t127 @t1) (and (tptp.member_fails @t129 @t1) @t152)))) % 2.42/2.69 (assume @p63 (forall @t134 (= (tptp.member2_terminates @t129 @t127 @t1) (and (tptp.member_terminates @t129 @t1) @t153)))) % 2.42/2.69 (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))))) % 2.42/2.69 (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))))) % 2.42/2.69 (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))))) % 2.42/2.69 (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)))))) % 2.42/2.69 (assume @p68 (forall @t140 (= @t170 (forall @t146 (or @t169 @t168 @t167 @t165))))) % 2.42/2.69 (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)))))))))))) % 2.42/2.69 (assume @p70 (forall @t140 (= (tptp.same_occ_succeeds @t129 @t127) @t170))) % 2.42/2.69 (assume @p71 (forall @t140 (= (tptp.same_occ_fails @t129 @t127) @t166))) % 2.42/2.69 (assume @p72 (forall @t140 (= (tptp.same_occ_terminates @t129 @t127) (and @t171 @t164 (tptp.gr @t127))))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p74 (forall @t140 (= (tptp.permutation_fails @t129 @t127) (and (forall @t146 (or @t174 @t173 (tptp.permutation_fails @t3 @t4))) @t148)))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p76 (forall @t134 (= (tptp.delete_succeeds @t129 @t127 @t1) (or (exists @t177 (and @t158 @t176 (tptp.delete_succeeds @t129 @t3 @t8))) @t175)))) % 2.42/2.69 (assume @p77 (forall @t134 (= (tptp.delete_fails @t129 @t127 @t1) (and (forall @t177 (or @t162 @t178 (tptp.delete_fails @t129 @t3 @t8))) (not @t175))))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p79 (forall @t140 (= (tptp.length_succeeds @t129 @t127) (or (exists @t146 (and @t145 @t181 (tptp.length_succeeds @t4 @t3))) (and @t130 @t179))))) % 2.42/2.69 (assume @p80 (forall @t140 (= (tptp.length_fails @t129 @t127) (and (forall @t146 (or @t150 @t182 (tptp.length_fails @t4 @t3))) (or @t136 (not @t179)))))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p82 (forall @t134 (= (tptp.append_succeeds @t129 @t127 @t1) (or (exists @t177 (and @t133 @t176 (tptp.append_succeeds @t3 @t127 @t8))) @t131)))) % 2.42/2.69 (assume @p83 (forall @t134 (= (tptp.append_fails @t129 @t127 @t1) (and (forall @t177 (or @t138 @t178 (tptp.append_fails @t3 @t127 @t8))) @t137)))) % 2.42/2.69 (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)))) % 2.42/2.69 (assume @p85 (forall @t140 (= @t151 (or (exists @t185 (and @t172 (tptp.member_succeeds @t129 @t4))) (exists @t184 @t183))))) % 2.42/2.69 (assume @p86 (forall @t140 (= @t152 (and (forall @t185 (or @t174 (tptp.member_fails @t129 @t4))) (forall @t184 (not @t183)))))) % 2.42/2.69 (assume @p87 (forall @t140 (= @t153 (and (forall @t185 (and true (or @t174 (tptp.member_terminates @t129 @t4)))) (forall @t184 true))))) % 2.42/2.69 (assume @p88 (forall @t188 (= (tptp.list_succeeds @t129) (or (exists @t187 (and @t186 (tptp.list_succeeds @t1))) @t130)))) % 2.42/2.69 (assume @p89 (forall @t188 (= (tptp.list_fails @t129) (and (forall @t187 (or @t189 (tptp.list_fails @t1))) @t136)))) % 2.42/2.69 (assume @p90 (forall @t188 (= (tptp.list_terminates @t129) (and (forall @t187 (and true (or @t189 (tptp.list_terminates @t1)))) true)))) % 2.42/2.69 (assume @p91 (forall @t188 (= (tptp.nat_list_succeeds @t129) (or (exists @t187 (and @t186 @t190 (tptp.nat_list_succeeds @t1))) @t130)))) % 2.42/2.69 (assume @p92 (forall @t188 (= (tptp.nat_list_fails @t129) (and (forall @t187 (or @t189 @t191 (tptp.nat_list_fails @t1))) @t136)))) % 2.42/2.69 (assume @p93 (forall @t188 (= (tptp.nat_list_terminates @t129) (and (forall @t187 (and true (or @t189 (and @t192 (or @t191 (tptp.nat_list_terminates @t1)))))) true)))) % 2.42/2.69 (assume @p94 (forall @t134 (= (tptp.times_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t195 (tptp.times_succeeds @t4 @t127 @t3) (tptp.plus_succeeds @t127 @t3 @t1))) (and @t193 @t154))))) % 2.42/2.69 (assume @p95 (forall @t134 (= (tptp.times_fails @t129 @t127 @t1) (and (forall @t6 (or @t198 @t197 (tptp.plus_fails @t127 @t3 @t1))) (or @t196 @t159))))) % 2.42/2.69 (assume @p96 (forall @t134 (= (tptp.times_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t198 (and (tptp.times_terminates @t4 @t127 @t3) (or @t197 (tptp.plus_terminates @t127 @t3 @t1)))))) true @t199)))) % 2.42/2.69 (assume @p97 (forall @t134 (= (tptp.plus_succeeds @t129 @t127 @t1) (or (exists @t6 (and @t195 @t200 (tptp.plus_succeeds @t4 @t127 @t3))) (and @t193 @t128))))) % 2.42/2.69 (assume @p98 (forall @t134 (= (tptp.plus_fails @t129 @t127 @t1) (and (forall @t6 (or @t198 @t201 (tptp.plus_fails @t4 @t127 @t3))) (or @t196 @t135))))) % 2.42/2.69 (assume @p99 (forall @t134 (= (tptp.plus_terminates @t129 @t127 @t1) (and (forall @t6 (and true (or @t198 (and true (or @t201 (tptp.plus_terminates @t4 @t127 @t3)))))) true @t199)))) % 2.42/2.69 (assume @p100 (forall @t140 (= (|tptp.'@=<_succeeds'| @t129 @t127) (or (exists @t185 (and @t203 @t202 (|tptp.'@=<_succeeds'| @t1 @t4))) @t193)))) % 2.42/2.69 (assume @p101 (forall @t140 (= (|tptp.'@=<_fails'| @t129 @t127) (and (forall @t185 (or @t205 @t204 (|tptp.'@=<_fails'| @t1 @t4))) @t196)))) % 2.42/2.69 (assume @p102 (forall @t140 (= (|tptp.'@=<_terminates'| @t129 @t127) (and (forall @t185 (and true (or @t205 (and true (or @t204 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 2.42/2.69 (assume @p103 (forall @t140 (= (|tptp.'@<_succeeds'| @t129 @t127) (or (exists @t185 (and @t203 @t202 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t184 (and @t193 @t181)))))) % 2.42/2.69 (assume @p104 (forall @t140 (= (|tptp.'@<_fails'| @t129 @t127) (and (forall @t185 (or @t205 @t204 (|tptp.'@<_fails'| @t1 @t4))) (forall @t184 (or @t196 @t182)))))) % 2.42/2.69 (assume @p105 (forall @t140 (= (|tptp.'@<_terminates'| @t129 @t127) (and (forall @t185 (and true (or @t205 (and true (or @t204 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t184 (and true @t199)))))) % 2.42/2.69 (assume @p106 (forall @t188 (= @t208 (or (exists @t207 (and @t206 @t190)) @t193)))) % 2.42/2.69 (assume @p107 (forall @t188 (= (tptp.nat_fails @t129) (and (forall @t207 (or @t209 @t191)) @t196)))) % 2.42/2.69 (assume @p108 (forall @t188 (= (tptp.nat_terminates @t129) (and (forall @t207 (and true (or @t209 @t192))) true)))) % 2.42/2.69 (assume @p109 (forall @t212 (=> @t211 (tptp.nat_terminates @t210)))) % 2.42/2.69 (assume @p110 (forall @t212 (=> @t211 @t213))) % 2.42/2.69 (assume @p111 (forall @t217 (=> @t211 @t216))) % 2.42/2.69 (assume @p112 (forall @t217 (=> @t218 @t216))) % 2.42/2.69 (assume @p113 (forall @t217 (=> @t219 @t211))) % 2.42/2.69 (assume @p114 (forall @t217 (=> (and @t219 @t220) @t218))) % 2.42/2.69 (assume @p115 (forall @t217 (=> (and @t219 @t218) @t220))) % 2.42/2.69 (assume @p116 (forall @t217 (=> @t219 @t216))) % 2.42/2.69 (assume @p117 (forall @t217 (=> @t219 @t213))) % 2.42/2.69 (assume @p118 (forall @t217 (=> (and @t219 @t222) @t221))) % 2.42/2.69 (assume @p119 (forall @t217 (=> (and @t219 @t221) @t222))) % 2.42/2.69 (assume @p120 (forall @t224 (=> @t211 (exists @t223 @t219)))) % 2.42/2.69 (assume @p121 (forall @t228 (=> (and (tptp.plus_succeeds @t210 @t215 @t226) (tptp.plus_succeeds @t210 @t215 @t225)) @t227))) % 2.42/2.69 (assume @p122 (forall @t229 (= (|tptp.'@+'| |tptp.'0'| @t215) @t215))) % 2.42/2.69 (assume @p123 (forall @t224 (=> @t211 (= @t232 (tptp.s @t230))))) % 2.42/2.69 (assume @p124 (forall @t224 (=> @t233 (tptp.nat_succeeds @t230)))) % 2.42/2.69 (assume @p125 (forall @t217 (=> @t235 (= (|tptp.'@+'| @t230 @t214) (|tptp.'@+'| @t210 @t234))))) % 2.42/2.69 (assume @p126 (forall @t212 (=> @t211 (= (|tptp.'@+'| @t210 |tptp.'0'|) @t210)))) % 2.42/2.69 (assume @p127 (forall @t224 (=> @t233 (= @t237 @t232)))) % 2.42/2.69 (assume @p128 (forall @t224 (=> @t233 (= @t230 @t238)))) % 2.42/2.69 (assume @p129 (forall @t217 (=> (and @t211 (= @t230 @t239)) (= @t215 @t214)))) % 2.42/2.69 (assume @p130 (forall @t217 (=> @t240 @t211))) % 2.42/2.69 (assume @p131 (forall @t217 (=> (and @t240 @t220) @t218))) % 2.42/2.69 (assume @p132 (forall @t217 (=> @t240 @t213))) % 2.42/2.69 (assume @p133 (forall @t217 (=> (and @t240 @t222) @t221))) % 2.42/2.69 (assume @p134 (forall @t217 (=> @t233 (tptp.times_terminates @t210 @t215 @t214)))) % 2.42/2.69 (assume @p135 (forall @t224 (=> @t233 (exists @t223 @t240)))) % 2.42/2.69 (assume @p136 (forall @t228 (=> (and (tptp.times_succeeds @t210 @t215 @t226) (tptp.times_succeeds @t210 @t215 @t225)) @t227))) % 2.42/2.69 (assume @p137 (forall @t229 (=> @t220 (= (|tptp.'@*'| |tptp.'0'| @t215) |tptp.'0'|)))) % 2.42/2.69 (assume @p138 (forall @t224 (=> @t233 (= @t242 (|tptp.'@+'| @t215 @t241))))) % 2.42/2.69 (assume @p139 (forall @t224 (=> @t233 (tptp.nat_succeeds @t241)))) % 2.42/2.69 (assume @p140 (forall @t217 (=> @t235 (= (|tptp.'@*'| @t230 @t214) (|tptp.'@+'| @t244 @t243))))) % 2.42/2.69 (assume @p141 (forall @t217 (=> @t235 (= (|tptp.'@*'| @t241 @t214) (|tptp.'@*'| @t210 @t243))))) % 2.42/2.69 (assume @p142 (forall @t212 (=> @t211 (= (|tptp.'@*'| @t210 |tptp.'0'|) |tptp.'0'|)))) % 2.42/2.69 (assume @p143 (forall (@list @t215 @t210) (=> (and @t220 @t211) (= (|tptp.'@+'| @t245 @t215) (|tptp.'@*'| @t215 @t231))))) % 2.42/2.69 (assume @p144 (forall @t224 (=> @t233 (= @t241 @t245)))) % 2.42/2.69 (assume @p145 (forall @t212 (=> @t211 (= (|tptp.'@*'| @t246 @t210) @t210)))) % 2.42/2.69 (assume @p146 (forall @t212 (=> @t211 (= (|tptp.'@*'| @t210 @t246) @t210)))) % 2.42/2.69 (assume @p147 (forall @t217 (=> @t235 (= (|tptp.'@*'| @t214 @t230) (|tptp.'@+'| (|tptp.'@*'| @t214 @t210) (|tptp.'@*'| @t214 @t215)))))) % 2.42/2.69 (assume @p148 (forall @t224 (=> @t211 @t247))) % 2.42/2.69 (assume @p149 (forall @t224 (=> @t220 @t247))) % 2.42/2.69 (assume @p150 (forall @t224 (=> @t248 @t211))) % 2.42/2.69 (assume @p151 (forall @t224 (=> @t248 (exists @t223 (= @t215 @t249))))) % 2.42/2.69 (assume @p152 (forall @t217 (=> (and @t248 (|tptp.'@<_succeeds'| @t215 @t249)) @t250))) % 2.42/2.69 (assume @p153 (forall @t224 (=> @t248 @t251))) % 2.42/2.69 (assume @p154 (forall @t217 (=> (and @t248 @t252) @t250))) % 2.42/2.69 (assume @p155 (forall @t212 (=> @t211 (|tptp.'@<_fails'| @t210 @t210)))) % 2.42/2.69 (assume @p156 (forall @t212 (=> @t211 (not (|tptp.'@<_succeeds'| @t210 @t210))))) % 2.42/2.69 (assume @p157 (forall @t212 (=> @t211 (|tptp.'@<_succeeds'| @t210 @t231)))) % 2.42/2.69 (assume @p158 (forall @t224 (=> (and @t220 @t251) @t254))) % 2.42/2.69 (assume @p159 (forall @t224 (=> @t233 (or @t248 @t253 (|tptp.'@<_succeeds'| @t215 @t210))))) % 2.42/2.69 (assume @p160 (forall @t212 (=> (and @t211 @t255) (|tptp.'@<_succeeds'| |tptp.'0'| @t210)))) % 2.42/2.69 (assume @p161 (forall @t224 (=> @t211 (|tptp.'@=<_terminates'| @t210 @t215)))) % 2.42/2.69 (assume @p162 (forall @t224 (=> @t256 @t211))) % 2.42/2.69 (assume @p163 (forall @t224 (=> @t256 (exists @t223 (tptp.plus_succeeds @t210 @t214 @t215))))) % 2.42/2.69 (assume @p164 (forall @t224 (=> @t256 (exists @t223 (= @t239 @t215))))) % 2.42/2.69 (assume @p165 (forall @t224 (=> @t248 (exists @t223 (tptp.plus_succeeds @t210 @t249 @t215))))) % 2.42/2.69 (assume @p166 (forall @t224 (=> @t248 (exists @t223 (= (|tptp.'@+'| @t210 @t249) @t215))))) % 2.42/2.69 (assume @p167 (forall @t224 (=> @t248 @t256))) % 2.42/2.69 (assume @p168 (forall @t212 (=> @t211 (|tptp.'@=<_succeeds'| @t210 @t210)))) % 2.42/2.69 (assume @p169 (forall @t224 (=> @t233 (or @t256 @t257)))) % 2.42/2.69 (assume @p170 (forall @t224 (=> @t233 (or @t248 @t257)))) % 2.42/2.69 (assume @p171 (forall @t224 (=> (and @t211 @t220 (|tptp.'@=<_fails'| @t210 @t215)) @t257))) % 2.42/2.69 (assume @p172 (forall @t224 (=> (and @t256 @t220) @t254))) % 2.42/2.69 (assume @p173 (forall @t217 (=> (and @t256 @t252) @t250))) % 2.42/2.69 (assume @p174 (forall @t217 (=> (and @t248 @t258) @t250))) % 2.42/2.69 (assume @p175 (forall @t217 (=> (and @t256 @t258) (|tptp.'@=<_succeeds'| @t210 @t214)))) % 2.42/2.69 (assume @p176 (forall @t224 (=> (and @t256 @t257) @t253))) % 2.42/2.69 (assume @p177 (forall @t212 (=> @t211 (|tptp.'@=<_succeeds'| @t210 @t231)))) % 2.42/2.69 (assume @p178 (forall @t212 (=> @t211 (|tptp.'@=<_fails'| @t231 @t210)))) % 2.42/2.69 (assume @p179 (forall @t217 (=> (and @t211 @t252) @t259))) % 2.42/2.69 (assume @p180 (forall @t224 (=> @t211 (|tptp.'@<_succeeds'| @t210 @t237)))) % 2.42/2.69 (assume @p181 (forall @t217 (=> (and @t248 @t220 @t218) @t260))) % 2.42/2.69 (assume @p182 (forall @t224 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t215) @t211 @t220) (|tptp.'@<_succeeds'| @t210 @t238)))) % 2.42/2.69 (assume @p183 (forall @t217 (=> (and @t211 @t258) @t261))) % 2.42/2.69 (assume @p184 (forall @t217 (=> @t262 (|tptp.'@=<_succeeds'| @t239 @t234)))) % 2.42/2.69 (assume @p185 (forall @t224 (=> @t211 (|tptp.'@=<_succeeds'| @t210 @t230)))) % 2.42/2.69 (assume @p186 (forall @t224 (=> @t233 (|tptp.'@=<_succeeds'| @t215 @t230)))) % 2.42/2.69 (assume @p187 (forall @t217 (=> (and @t211 @t259) @t252))) % 2.42/2.69 (assume @p188 (forall @t217 (=> (and @t211 @t220 @t218 @t260) @t248))) % 2.42/2.69 (assume @p189 (forall @t217 (=> (and @t211 @t261) @t258))) % 2.42/2.69 (assume @p190 (forall @t270 (=> (and @t269 @t268 @t267) (|tptp.'@=<_succeeds'| @t266 @t265)))) % 2.42/2.69 (assume @p191 (forall @t270 (=> (and @t272 @t268 @t267) @t271))) % 2.42/2.69 (assume @p192 (forall @t270 (=> (and @t269 @t273 @t267) @t271))) % 2.42/2.69 (assume @p193 (forall @t270 (=> (and @t272 @t273 @t267) @t271))) % 2.42/2.69 (assume @p194 (forall @t217 (=> (and @t211 @t258 @t218) (|tptp.'@=<_succeeds'| @t241 @t244)))) % 2.42/2.69 (assume @p195 (forall @t217 (=> @t262 (|tptp.'@=<_succeeds'| @t244 @t243)))) % 2.42/2.69 (assume @p196 (forall @t217 (=> (and @t211 @t255 @t252 @t218) (|tptp.'@<_succeeds'| @t241 @t244)))) % 2.42/2.69 (assume @p197 (forall @t217 (=> (and @t211 @t220 @t218 (|tptp.'@=<_succeeds'| @t242 (|tptp.'@*'| @t231 @t214))) @t258))) % 2.42/2.69 (assume @p198 (forall (@list @t129 @t127 @t215) (=> (and @t208 @t190 @t220 (= (|tptp.'@+'| @t129 @t215) (|tptp.'@+'| @t127 @t215))) (= @t129 @t127)))) % 2.42/2.69 (assume @p199 (forall @t212 (tptp.list_succeeds @t274))) % 2.42/2.69 (assume @p200 (forall @t224 (tptp.list_succeeds (tptp.cons @t210 (tptp.cons @t215 tptp.nil))))) % 2.42/2.69 (assume @p201 (forall @t217 (tptp.list_succeeds (tptp.cons @t210 (tptp.cons @t215 (tptp.cons @t214 tptp.nil)))))) % 2.42/2.69 (assume @p202 @t280) % 2.42/2.69 (assume @p203 (forall @t281 (=> @t276 (tptp.list_terminates @t275)))) % 2.42/2.69 (assume @p204 (forall @t279 (=> @t276 (tptp.member_terminates @t210 @t275)))) % 2.42/2.69 (assume @p205 (forall @t279 (=> @t276 (or @t283 @t282)))) % 2.42/2.69 (assume @p206 (forall @t279 (=> (and @t283 @t284) @t213))) % 2.42/2.69 (assume @p207 (forall (@list @t210 @t215 @t214 @t275) (=> (and (tptp.member_succeeds @t210 @t286) @t285) @t283))) % 2.42/2.69 (assume @p208 (forall @t292 (=> @t291 @t288))) % 2.42/2.69 (assume @p209 (forall @t292 (=> (and @t291 @t294) @t293))) % 2.42/2.69 (assume @p210 (forall @t292 (=> @t295 @t294))) % 2.42/2.69 (assume @p211 (forall @t292 (=> @t295 @t296))) % 2.42/2.69 (assume @p212 (forall @t292 (=> @t288 @t297))) % 2.42/2.69 (assume @p213 (forall @t292 (=> @t293 @t297))) % 2.42/2.69 (assume @p214 (forall @t292 (=> (and @t291 @t300 @t299) @t298))) % 2.42/2.69 (assume @p215 (forall @t292 (=> (and @t291 @t298) @t301))) % 2.42/2.69 (assume @p216 (forall @t303 (=> @t288 (exists @t302 @t291)))) % 2.42/2.69 (assume @p217 (forall @t305 (=> (and @t291 (tptp.append_succeeds @t287 @t290 @t304)) (= @t289 @t304)))) % 2.42/2.69 (assume @p218 @t307) % 2.42/2.69 (assume @p219 @t312) % 2.42/2.69 (assume @p220 (forall @t303 (=> @t296 @t313))) % 2.42/2.69 (assume @p221 (forall @t303 (=> (and @t288 @t313) @t294))) % 2.42/2.69 (assume @p222 (forall @t303 (=> (and @t288 @t300 @t299) @t314))) % 2.42/2.69 (assume @p223 (forall @t303 (=> (and @t288 @t314) @t301))) % 2.42/2.69 (assume @p224 @t317) % 2.42/2.69 (assume @p225 (forall @t281 (=> @t276 (= (|tptp.'**'| @t275 tptp.nil) @t275)))) % 2.42/2.69 (assume @p226 (forall @t322 (=> @t321 @t320))) % 2.42/2.69 (assume @p227 (forall @t322 (=> @t276 (tptp.length_terminates @t275 @t318)))) % 2.42/2.69 (assume @p228 (forall @t322 (=> @t321 @t323))) % 2.42/2.69 (assume @p229 (forall @t281 (=> @t276 (exists @t324 @t321)))) % 2.42/2.69 (assume @p230 (forall (@list @t275 @t325 @t318) (=> (and (tptp.length_succeeds @t275 @t325) @t321) @t326))) % 2.42/2.69 (assume @p231 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 2.42/2.69 (assume @p232 (forall @t279 (=> @t276 (= @t328 (tptp.s @t327))))) % 2.42/2.69 (assume @p233 (forall @t281 (=> @t276 (tptp.nat_succeeds @t327)))) % 2.42/2.69 (assume @p234 (forall @t281 (=> (and @t276 (= @t327 |tptp.'0'|)) @t329))) % 2.42/2.69 (assume @p235 (forall (@list @t318 @t287) (=> (and @t288 (= @t332 @t331)) (exists (@list @t210 @t290) (= @t287 @t330))))) % 2.42/2.69 (assume @p236 (forall @t303 (=> @t296 (= @t335 @t334)))) % 2.42/2.69 (assume @p237 (forall @t303 (=> @t296 (|tptp.'@=<_succeeds'| @t332 @t335)))) % 2.42/2.69 (assume @p238 (forall @t303 (=> @t296 (|tptp.'@=<_succeeds'| @t333 @t335)))) % 2.42/2.69 (assume @p239 (forall @t279 (=> @t276 (|tptp.'@=<_succeeds'| @t327 @t328)))) % 2.42/2.69 (assume @p240 (forall @t292 (=> @t295 (= @t334 @t336)))) % 2.42/2.69 (assume @p241 (forall @t292 (=> @t295 (|tptp.'@=<_succeeds'| @t332 @t336)))) % 2.42/2.69 (assume @p242 (forall @t292 (=> @t295 (|tptp.'@=<_succeeds'| @t333 @t336)))) % 2.42/2.69 (assume @p243 (forall (@list @t210 @t337) (tptp.sub @t337 @t338))) % 2.42/2.69 (assume @p244 (forall @t281 (tptp.sub @t275 @t275))) % 2.42/2.69 (assume @p245 (forall (@list @t337 @t340 @t339) (=> (and @t341 (tptp.sub @t340 @t339)) (tptp.sub @t337 @t339)))) % 2.42/2.69 (assume @p246 (forall @t281 (tptp.sub tptp.nil @t275))) % 2.42/2.69 (assume @p247 (forall @t342 (=> (and @t341 (tptp.member_succeeds @t210 @t340)) (tptp.sub @t338 @t340)))) % 2.42/2.69 (assume @p248 (forall @t342 (=> @t341 (tptp.sub @t338 (tptp.cons @t210 @t340))))) % 2.42/2.69 (assume @p249 (forall (@list @t210 @t289) (=> @t344 (exists @t303 @t343)))) % 2.42/2.69 (assume @p250 (forall @t346 (=> (and @t291 @t345) @t344))) % 2.42/2.69 (assume @p251 (forall @t346 (=> (and @t291 @t347) @t344))) % 2.42/2.69 (assume @p252 (forall @t311 (=> (and @t345 @t288) @t348))) % 2.42/2.69 (assume @p253 (forall @t311 (=> (and @t347 @t288) @t348))) % 2.42/2.69 (assume @p254 (forall @t346 (=> @t343 @t344))) % 2.42/2.69 (assume @p255 (forall @t346 (=> (and @t291 @t344) @t349))) % 2.42/2.69 (assume @p256 (forall @t311 (=> (and @t288 @t348) @t349))) % 2.42/2.69 (assume @p257 (forall @t303 (=> @t288 (tptp.sub @t287 @t308)))) % 2.42/2.69 (assume @p258 (forall @t303 (=> @t288 (tptp.sub @t290 @t308)))) % 2.42/2.69 (assume @p259 (forall @t346 (=> @t295 (not (= @t290 (tptp.cons @t210 @t289)))))) % 2.42/2.69 (assume @p260 (forall @t303 (=> (and (tptp.append_succeeds @t287 @t290 @t290) @t294) @t350))) % 2.42/2.69 (assume @p261 (forall @t305 (=> (and @t291 (tptp.append_succeeds @t304 @t290 @t289) @t293) (= @t287 @t304)))) % 2.42/2.69 (assume @p262 (forall @t292 (=> (and @t288 @t294 @t293 (= (|tptp.'**'| @t287 @t289) @t315)) (= @t287 @t290)))) % 2.42/2.69 (assume @p263 (forall @t305 (=> (and @t291 (tptp.append_succeeds @t287 @t304 @t289)) (= @t290 @t304)))) % 2.42/2.69 (assume @p264 (forall @t281 (=> @t351 @t276))) % 2.42/2.69 (assume @p265 (forall @t281 (=> @t351 (tptp.nat_list_terminates @t275)))) % 2.42/2.69 (assume @p266 (forall @t212 (=> (tptp.nat_list_succeeds @t210) @t213))) % 2.42/2.69 (assume @p267 (forall (@list @t210 @t287 @t290 @t318) (=> (and @t288 @t294 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t309) @t333) @t331)) @t352))) % 2.42/2.69 (assume @p268 (forall (@list @t287 @t215 @t290 @t318) (=> (and @t288 @t294 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t332 (tptp.lh (tptp.cons @t215 @t290))) @t331)) @t352))) % 2.42/2.69 (assume @p269 (forall @t311 (=> @t288 @t353))) % 2.42/2.69 (assume @p270 (forall @t311 (=> @t294 @t353))) % 2.42/2.69 (assume @p271 (forall @t311 (=> @t355 @t294))) % 2.42/2.69 (assume @p272 (forall @t311 (=> (and @t354 @t294) @t288))) % 2.42/2.69 (assume @p273 (forall @t311 (=> @t355 (= @t332 (tptp.s @t333))))) % 2.42/2.69 (assume @p274 (forall @t311 (=> @t288 (tptp.delete_succeeds @t210 (|tptp.'**'| @t287 @t330) @t308)))) % 2.42/2.69 (assume @p275 (forall @t311 (=> @t354 (exists (@list @t289 @t304) (and @t293 (= @t287 (|tptp.'**'| @t289 (tptp.cons @t210 @t304))) (= @t290 @t356)))))) % 2.42/2.69 (assume @p276 (forall @t311 (=> (and @t354 @t358) (and @t211 @t357)))) % 2.42/2.69 (assume @p277 (forall @t311 (=> (and @t354 @t300) (and @t213 @t299)))) % 2.42/2.69 (assume @p278 (forall @t361 (=> (and @t354 @t360) (or @t359 (= @t215 @t210))))) % 2.42/2.69 (assume @p279 (forall @t311 (=> @t354 @t345))) % 2.42/2.69 (assume @p280 (forall @t361 (=> (and @t354 @t359) @t360))) % 2.42/2.69 (assume @p281 (forall (@list @t210 @t287) (=> @t345 @t363))) % 2.42/2.69 (assume @p282 (forall @t361 (=> (and @t354 @t360 @t285) @t359))) % 2.42/2.69 (assume @p283 (forall @t303 (=> @t364 @t296))) % 2.42/2.69 (assume @p284 (forall (@list @t318 @t287 @t290) (=> (and @t319 @t288 (= @t332 @t318)) @t365))) % 2.42/2.69 (assume @p285 (forall @t303 (=> @t288 @t365))) % 2.42/2.69 (assume @p286 (forall @t311 (=> @t296 (tptp.member2_terminates @t210 @t287 @t290)))) % 2.42/2.69 (assume @p287 (forall @t366 (=> (and @t276 @t284 @t213) (tptp.occ_terminates @t210 @t275 @t318)))) % 2.42/2.69 (assume @p288 (forall @t311 (=> (and (tptp.member2_succeeds @t210 @t287 @t290) @t300 @t299) @t213))) % 2.42/2.69 (assume @p289 (forall @t366 (=> @t367 @t323))) % 2.42/2.69 (assume @p290 (forall @t303 (=> @t368 (tptp.not_same_occ_terminates @t287 @t290)))) % 2.42/2.69 (assume @p291 (forall @t303 (=> @t368 (tptp.same_occ_terminates @t287 @t290)))) % 2.42/2.69 (assume @p292 (forall @t366 (=> @t367 @t320))) % 2.42/2.69 (assume @p293 (forall @t279 (=> @t276 (exists @t324 @t367)))) % 2.42/2.69 (assume @p294 (forall (@list @t210 @t275 @t325 @t318) (=> (and @t369 @t367) @t326))) % 2.42/2.69 (assume @p295 (forall @t212 (= (tptp.occ @t210 tptp.nil) |tptp.'0'|))) % 2.42/2.69 (assume @p296 (forall (@list @t210 @t215 @t275) (=> (and @t276 @t285) (= (tptp.occ @t210 @t286) @t370)))) % 2.42/2.69 (assume @p297 (forall @t279 (=> @t276 (= (tptp.occ @t210 @t277) (tptp.s @t370))))) % 2.42/2.69 (assume @p298 (forall @t279 (=> @t276 (tptp.nat_succeeds @t370)))) % 2.42/2.69 (assume @p299 (forall @t311 (=> @t296 (= (tptp.occ @t210 @t308) (|tptp.'@+'| @t372 @t371))))) % 2.42/2.69 (assume @p300 (forall @t361 (=> (and @t288 @t354 @t285) (= (tptp.occ @t215 @t287) (tptp.occ @t215 @t290))))) % 2.42/2.69 (assume @p301 (forall @t311 (=> (and @t288 @t354) (= @t372 (tptp.s @t371))))) % 2.42/2.69 (assume @p302 (forall @t303 (=> @t364 @t373))) % 2.42/2.69 (assume @p303 (forall @t303 (=> (and @t364 @t300 @t299) @t374))) % 2.42/2.69 (assume @p304 (forall @t281 (=> (and @t276 (forall @t212 @t375)) @t329))) % 2.42/2.69 (assume @p305 (forall (@list @t210 @t287 @t318) (=> (and @t288 (= @t372 @t331)) @t363))) % 2.42/2.69 (assume @p306 (forall @t362 (=> @t294 (forall @t376 (=> (and @t288 @t373) @t364))))) % 2.42/2.69 (assume @p307 (forall @t303 (=> (and @t294 @t288 @t373) @t364))) % 2.42/2.69 (assume @p308 (forall @t279 (=> (and @t276 @t282) @t375))) % 2.42/2.69 (assume @p309 (forall @t303 (=> @t377 @t373))) % 2.42/2.69 (assume @p310 (forall @t303 (=> @t377 @t364))) % 2.42/2.69 (assume @p311 (forall @t281 (=> @t276 (tptp.permutation_succeeds @t275 @t275)))) % 2.42/2.69 (assume @p312 (forall @t303 (=> @t364 (tptp.permutation_succeeds @t290 @t287)))) % 2.42/2.69 (assume @p313 (forall @t292 (=> (and @t364 (tptp.permutation_succeeds @t290 @t289)) @t378))) % 2.42/2.69 (assume @p314 (forall @t305 (=> (and @t378 (tptp.permutation_succeeds @t290 @t304)) (tptp.permutation_succeeds @t308 @t356)))) % 2.42/2.69 (assume @p315 (forall @t303 (=> @t296 (tptp.permutation_succeeds @t308 (|tptp.'**'| @t290 @t287))))) % 2.42/2.69 (assume @p316 (forall @t303 (=> (and @t364 @t358) @t357))) % 2.42/2.69 (assume @p317 (forall @t366 (=> (and @t276 (tptp.occ_succeeds @t210 @t275 @t331)) @t283))) % 2.42/2.69 (assume @p318 (forall @t366 (=> (and @t276 @t379) @t283))) % 2.42/2.69 (assume @p319 (forall @t279 (=> (and @t276 @t283) (exists @t324 @t379)))) % 2.42/2.69 (assume @p320 (forall @t311 (=> (and @t364 @t345) @t347))) % 2.42/2.69 (assume @p321 (forall @t311 (=> (tptp.permutation_succeeds @t309 @t330) @t364))) % 2.42/2.69 (assume @p322 (forall @t281 (=> (tptp.permutation_succeeds tptp.nil @t275) @t329))) % 2.42/2.69 (assume @p323 (forall @t303 (=> (and @t364 @t300) @t299))) % 2.42/2.69 (assume @p324 (forall @t303 (=> @t364 (= @t332 @t333)))) % 2.42/2.69 (assume @p325 (forall @t217 (=> @t211 (= (= @t230 @t214) @t219)))) % 2.42/2.69 (assume @p326 (forall @t217 (=> @t233 (= (= @t241 @t214) @t240)))) % 2.42/2.69 (assume @p327 (forall @t292 (=> @t288 (= (= @t308 @t289) @t291)))) % 2.42/2.69 (assume @p328 (forall @t322 (=> @t276 (= (= @t327 @t318) @t321)))) % 2.42/2.69 (assume @p329 (forall @t303 (= (tptp.sub @t287 @t290) (forall @t212 (=> @t345 @t347))))) % 2.42/2.69 (assume @p330 (forall (@list @t210 @t275 @t325) (=> @t276 (= (= @t370 @t325) @t369)))) % 2.42/2.69 (assume @p331 (forall @t303 (=> @t288 (= (= @t381 @t290) @t380)))) % 2.42/2.69 (assume @p332 (forall @t303 (=> @t380 @t296))) % 2.42/2.69 (assume @p333 (forall @t303 (=> @t288 (tptp.n_reverse_terminates @t287 @t290)))) % 2.42/2.69 (assume @p334 @t383) % 2.42/2.69 (assume @p335 (forall @t292 (=> (and @t382 @t294) @t293))) % 2.42/2.69 (assume @p336 (forall @t292 (=> (and @t382 @t293) @t294))) % 2.42/2.69 (assume @p337 (forall @t292 (=> @t288 (tptp.a_reverse_terminates @t287 @t290 @t289)))) % 2.42/2.69 (assume @p338 (forall @t376 (=> @t288 (exists @t362 @t380)))) % 2.42/2.69 (assume @p339 (forall @t292 (=> (and @t380 @t385) @t384))) % 2.42/2.69 (assume @p340 (forall @t376 (=> @t288 (exists @t362 (and @t380 (forall @t302 (=> @t385 @t384))))))) % 2.42/2.69 (assume @p341 (forall @t303 (=> (and @t380 @t300) @t299))) % 2.42/2.69 (assume @p342 (= @t386 tptp.nil)) % 2.42/2.69 (assume @p343 @t389) % 2.42/2.69 (assume @p344 @t391) % 2.42/2.69 (assume @p345 @t405) % 2.42/2.69 (assume @p346 @t406) % 2.42/2.69 (assume @p347 true) % 2.42/2.69 (step @p348 :rule bool-impl-elim :args (@t382 @t407)) % 2.42/2.69 (step @p349 :rule cong :premises (@p348) :args ((forall @t292 (=> @t382 @t407)))) % 2.42/2.69 (step @p350 :rule eq-symm :args (@t392 @t289)) % 2.42/2.69 (step @p351 :rule refl :args (@t382)) % 2.42/2.69 (step @p352 :rule cong :premises (@p351 @p350) :args (@t394)) % 2.42/2.69 (step @p353 :rule cong :premises (@p352) :args (@t395)) % 2.42/2.69 (step @p354 :rule trans :premises (@p353 @p349)) % 2.42/2.69 (step @p355 :rule cong :premises (@p354) :args (@t406)) % 2.42/2.69 (step @p356 :rule eq_resolve :premises (@p346 @p355)) % 2.42/2.69 (step @p357 :rule refl :args (@t407)) % 2.42/2.69 (step @p358 :rule refl :args (@t409)) % 2.42/2.69 (step @p359 :rule refl :args (@t413)) % 2.42/2.69 (step @p360 :rule refl :args (@t414)) % 2.42/2.69 (step @p361 :rule eq-symm :args (@t415 @t287)) % 2.42/2.69 (step @p362 :rule cong :premises (@p361) :args (@t416)) % 2.42/2.69 (step @p363 :rule nary_cong :premises (@p362 @p360 @p359) :args (@t417)) % 2.42/2.69 (step @p364 :rule nary_cong :premises (@p363 @p358) :args (@t418)) % 2.42/2.69 (step @p365 :rule nary_cong :premises (@p364 @p357) :args (@t419)) % 2.42/2.69 (step @p366 :rule cong :premises (@p365) :args (@t421)) % 2.42/2.69 (step @p367 :rule quant-merge-prenex :args ((= (forall @t292 @t423) @t421))) % 2.42/2.69 (step @p368 :rule refl :args (@t407)) % 2.42/2.69 (step @p369 :rule quant-unused-vars :args ((= @t424 @t409))) % 2.42/2.69 (step @p370 :rule alpha_equiv :args (@t425 (@list @t410 @t412) (@list @t4 @t3))) % 2.42/2.69 (step @p371 :rule nary_cong :premises (@p370 @p369) :args (@t426)) % 2.42/2.69 (step @p372 :rule quant-miniscope-and :args ((= @t427 @t426))) % 2.42/2.69 (step @p373 :rule trans :premises (@p372 @p371)) % 2.42/2.69 (step @p374 :rule nary_cong :premises (@p373 @p368) :args (@t428)) % 2.42/2.69 (step @p375 :rule quant-miniscope-or :args ((= @t423 @t428))) % 2.42/2.69 (step @p376 :rule trans :premises (@p375 @p374)) % 2.42/2.69 (step @p377 :rule symm :premises (@p376)) % 2.42/2.69 (step @p378 :rule cong :premises (@p377) :args ((forall @t292 (or (and @t435 @t409) @t407)))) % 2.42/2.69 (step @p379 :rule trans :premises (@p378 @p367)) % 2.42/2.69 (step @p380 :rule trans :premises (@p379 @p366)) % 2.42/2.69 (step @p381 :rule bool-and-de-morgan :args (@t408 @t384 true)) % 2.42/2.69 (step @p382 :rule refl :args (@t435)) % 2.42/2.69 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((and @t435 @t437))) % 2.42/2.69 (step @p384 :rule refl :args (@t437)) % 2.42/2.69 (step @p385 :rule bool-double-not-elim :args (@t435)) % 2.42/2.69 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((and (not @t438) @t437))) % 2.42/2.69 (step @p387 :rule bool-or-de-morgan :args (@t438 @t436 false)) % 2.42/2.69 (step @p388 :rule trans :premises (@p387 @p386)) % 2.42/2.69 (step @p389 :rule trans :premises (@p388 @p383)) % 2.42/2.69 (step @p390 :rule nary_cong :premises (@p389 @p368) :args ((or (not @t439) @t407))) % 2.42/2.69 (step @p391 :rule bool-impl-elim :args (@t439 @t407)) % 2.42/2.69 (step @p392 :rule trans :premises (@p391 @p390)) % 2.42/2.69 (step @p393 :rule cong :premises (@p392) :args ((forall @t292 (=> @t439 @t407)))) % 2.42/2.69 (step @p394 :rule trans :premises (@p393 @p380)) % 2.42/2.69 (step @p395 :rule eq-symm :args (@t289 @t290)) % 2.42/2.69 (step @p396 :rule eq-symm :args (@t287 tptp.nil)) % 2.42/2.69 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t396)) % 2.42/2.69 (step @p398 :rule aci_norm :args ((= (or @t433 (or @t431 @t430)) @t434))) % 2.42/2.69 (step @p399 :rule bool-and-de-morgan :args (@t399 @t429 true)) % 2.42/2.69 (step @p400 :rule refl :args (@t433)) % 2.42/2.69 (step @p401 :rule nary_cong :premises (@p400 @p399) :args ((or @t433 (not (and @t399 @t429))))) % 2.42/2.69 (step @p402 :rule bool-and-de-morgan :args (@t432 @t399 (and @t429))) % 2.42/2.69 (step @p403 :rule trans :premises (@p402 @p401)) % 2.42/2.69 (step @p404 :rule trans :premises (@p403 @p398)) % 2.42/2.69 (step @p405 :rule cong :premises (@p404) :args (@t441)) % 2.42/2.69 (step @p406 :rule cong :premises (@p405) :args (@t442)) % 2.42/2.69 (step @p407 :rule exists-elim :args ((= (exists @t6 @t440) @t442))) % 2.42/2.69 (step @p408 :rule trans :premises (@p407 @p406)) % 2.42/2.69 (step @p409 :rule eq-symm :args (@t398 @t289)) % 2.42/2.69 (step @p410 :rule refl :args (@t399)) % 2.42/2.69 (step @p411 :rule eq-symm :args (@t287 @t5)) % 2.42/2.69 (step @p412 :rule nary_cong :premises (@p411 @p410 @p409) :args (@t400)) % 2.42/2.69 (step @p413 :rule cong :premises (@p412) :args (@t401)) % 2.42/2.69 (step @p414 :rule trans :premises (@p413 @p408)) % 2.42/2.69 (step @p415 :rule nary_cong :premises (@p414 @p397) :args (@t402)) % 2.42/2.69 (step @p416 :rule cong :premises (@p415 @p350) :args (@t403)) % 2.42/2.69 (step @p417 :rule cong :premises (@p416) :args (@t404)) % 2.42/2.69 (step @p418 :rule trans :premises (@p417 @p394)) % 2.42/2.69 (step @p419 :rule cong :premises (@p418 @p354) :args (@t405)) % 2.42/2.69 (step @p420 :rule eq_resolve :premises (@p345 @p419)) % 2.42/2.69 (step @p421 :rule implies_elim :premises (@p420)) % 2.42/2.69 (step @p422 :rule reordering :premises (@p421) :args ((or @t445 @t444))) % 2.42/2.69 (step @p423 :rule chain_m_resolution :premises (@p422 @p356) :args (@t444 @t446 (@list @t445))) % 2.42/2.69 (step @p424 :rule skolemize :premises (@p423)) % 2.42/2.69 (step @p425 :rule cnf_or_neg :args (@t470 1)) % 2.42/2.69 (step @p426 :rule chain_m_resolution :premises (@p425 @p424) :args ((not @t450) @t446 @t471)) % 2.42/2.69 (step @p427 :rule eq-symm :args (@t306 @t275)) % 2.42/2.69 (step @p428 :rule cong :premises (@p427) :args (@t307)) % 2.42/2.69 (step @p429 :rule eq_resolve :premises (@p218 @p428)) % 2.42/2.69 (step @p430 :rule instantiate :premises (@p429) :args ((@list @t447))) % 2.42/2.69 (step @p431 :rule bool-double-not-elim :args (@t453)) % 2.42/2.69 (step @p432 :rule refl :args (@t455)) % 2.42/2.69 (step @p433 :rule nary_cong :premises (@p432 @p431) :args ((or @t455 (not @t454)))) % 2.42/2.69 (step @p434 :rule cnf_or_neg :args (@t455 0)) % 2.42/2.69 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 2.42/2.69 (step @p436 :rule reordering :premises (@p435) :args ((or @t453 @t455))) % 2.42/2.69 (step @p437 :rule bool-double-not-elim :args (@t451)) % 2.42/2.69 (step @p438 :rule nary_cong :premises (@p432 @p437) :args ((or @t455 (not @t452)))) % 2.42/2.69 (step @p439 :rule cnf_or_neg :args (@t455 1)) % 2.42/2.69 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 2.42/2.69 (step @p441 :rule reordering :premises (@p440) :args ((or @t451 @t455))) % 2.42/2.69 (step @p442 :rule symm :premises (@p342)) % 2.42/2.69 (assume-push @p592 @t472) % 2.42/2.69 (assume-push @p593 @t453) % 2.42/2.69 (assume-push @p594 @t451) % 2.42/2.69 (assume-push @p595 @t474) % 2.42/2.69 (assume-push @p596 @t453) % 2.42/2.69 (assume-push @p597 @t472) % 2.42/2.69 (assume-push @p598 @t474) % 2.42/2.69 (assume-push @p599 @t451) % 2.42/2.69 (step @p451 :rule refl :args (@t447)) % 2.42/2.69 (step @p452 :rule cong :premises (@p593) :args (@t386)) % 2.42/2.69 (step @p453 :rule trans :premises (@p442 @p452)) % 2.42/2.69 (step @p454 :rule cong :premises (@p453 @p451) :args (@t473)) % 2.42/2.69 (step @p455 :rule symm :premises (@p594)) % 2.42/2.69 (step @p456 :rule trans :premises (@p455 @p430 @p454)) % 2.42/2.69 (step-pop @p600 :rule scope :premises (@p456)) % 2.42/2.69 (step-pop @p601 :rule scope :premises (@p600)) % 2.42/2.69 (step-pop @p602 :rule scope :premises (@p601)) % 2.42/2.69 (step-pop @p603 :rule scope :premises (@p602)) % 2.42/2.69 (step @p457 :rule process_scope :premises (@p603) :args (@t450)) % 2.42/2.69 (step @p462 :rule and_intro :premises (@p593 @p442 @p430 @p594)) % 2.42/2.69 (step @p463 :rule modus_ponens :premises (@p462 @p457)) % 2.42/2.69 (step-pop @p604 :rule scope :premises (@p463)) % 2.42/2.69 (step-pop @p605 :rule scope :premises (@p604)) % 2.42/2.69 (step-pop @p606 :rule scope :premises (@p605)) % 2.42/2.69 (step-pop @p607 :rule scope :premises (@p606)) % 2.42/2.69 (step @p464 :rule process_scope :premises (@p607) :args (@t450)) % 2.42/2.69 (step @p469 :rule implies_elim :premises (@p464)) % 2.42/2.69 (step @p470 :rule cnf_and_neg :args (@t475)) % 2.42/2.69 (step @p471 :rule resolution :premises (@p470 @p469) :args (true @t475)) % 2.42/2.69 (step @p472 :rule reordering :premises (@p471) :args ((or (not @t472) @t454 @t452 @t450 @t476))) % 2.42/2.69 (step @p473 :rule chain_m_resolution :premises (@p472 @p430 @p426 @p442 @p441 @p436) :args (@t455 (@list false true false false false) (@list @t474 @t450 @t472 @t451 @t453))) % 2.42/2.69 (step @p474 :rule cnf_or_neg :args (@t470 0)) % 2.42/2.69 (step @p475 :rule chain_m_resolution :premises (@p474 @p424) :args ((not @t469) @t446 @t471)) % 2.42/2.69 (step @p476 :rule cnf_and_neg :args (@t469)) % 2.42/2.69 (step @p477 :rule chain_m_resolution :premises (@p476 @p475 @p473) :args ((not @t468) (@list true false) (@list @t469 @t455))) % 2.42/2.69 (step @p478 :rule bool-double-not-elim :args (@t466)) % 2.42/2.69 (step @p479 :rule refl :args (@t468)) % 2.42/2.69 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t468 (not @t467)))) % 2.42/2.69 (step @p481 :rule cnf_or_neg :args (@t468 0)) % 2.42/2.69 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 2.42/2.69 (step @p483 :rule reordering :premises (@p482) :args ((or @t466 @t468))) % 2.42/2.69 (step @p484 :rule chain_m_resolution :premises (@p483 @p477) :args (@t466 @t446 @t477)) % 2.42/2.69 (step @p485 :rule bool-double-not-elim :args (@t461)) % 2.42/2.69 (step @p486 :rule nary_cong :premises (@p479 @p485) :args ((or @t468 (not @t462)))) % 2.42/2.69 (step @p487 :rule cnf_or_neg :args (@t468 2)) % 2.42/2.69 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 2.42/2.69 (step @p489 :rule reordering :premises (@p488) :args ((or @t461 @t468))) % 2.42/2.69 (step @p490 :rule chain_m_resolution :premises (@p489 @p477) :args (@t461 @t446 @t477)) % 2.42/2.69 (step @p491 :rule bool-impl-elim :args (@t276 @t390)) % 2.42/2.69 (step @p492 :rule cong :premises (@p491) :args (@t391)) % 2.42/2.69 (step @p493 :rule eq_resolve :premises (@p344 @p492)) % 2.42/2.69 (step @p494 :rule instantiate :premises (@p493) :args ((@list @t456 @t458))) % 2.42/2.69 (step @p495 :rule bool-impl-elim :args (@t382 @t288)) % 2.42/2.69 (step @p496 :rule cong :premises (@p495) :args (@t383)) % 2.42/2.69 (step @p497 :rule eq_resolve :premises (@p334 @p496)) % 2.42/2.69 (step @p498 :rule instantiate :premises (@p497) :args ((@list @t458 @t457 @t449))) % 2.42/2.69 (step @p499 :rule bool-double-not-elim :args (@t463)) % 2.42/2.69 (step @p500 :rule nary_cong :premises (@p479 @p499) :args ((or @t468 (not @t464)))) % 2.42/2.69 (step @p501 :rule cnf_or_neg :args (@t468 1)) % 2.42/2.69 (step @p502 :rule eq_resolve :premises (@p501 @p500)) % 2.42/2.69 (step @p503 :rule reordering :premises (@p502) :args ((or @t463 @t468))) % 2.42/2.69 (step @p504 :rule chain_m_resolution :premises (@p503 @p477) :args (@t463 @t446 @t477)) % 2.42/2.69 (step @p505 :rule cnf_or_pos :args (@t479)) % 2.42/2.69 (step @p506 :rule reordering :premises (@p505) :args ((or @t464 @t478 (not @t479)))) % 2.42/2.69 (step @p507 :rule chain_m_resolution :premises (@p506 @p504 @p498) :args (@t478 @t480 (@list @t463 @t479))) % 2.42/2.69 (step @p508 :rule cnf_or_pos :args (@t486)) % 2.42/2.69 (step @p509 :rule reordering :premises (@p508) :args ((or @t485 @t484 (not @t486)))) % 2.42/2.69 (step @p510 :rule chain_m_resolution :premises (@p509 @p507 @p494) :args (@t484 @t480 (@list @t478 @t486))) % 2.42/2.69 (step @p511 :rule aci_norm :args ((= (or (or @t488 @t487) @t316) (or @t488 @t487 @t316)))) % 2.42/2.69 (step @p512 :rule refl :args (@t316)) % 2.42/2.69 (step @p513 :rule bool-and-de-morgan :args (@t288 @t294 true)) % 2.42/2.69 (step @p514 :rule nary_cong :premises (@p513 @p512) :args ((or (not @t296) @t316))) % 2.42/2.69 (step @p515 :rule trans :premises (@p514 @p511)) % 2.42/2.69 (step @p516 :rule bool-impl-elim :args (@t296 @t316)) % 2.42/2.69 (step @p517 :rule trans :premises (@p516 @p515)) % 2.42/2.69 (step @p518 :rule cong :premises (@p517) :args (@t317)) % 2.42/2.69 (step @p519 :rule eq_resolve :premises (@p224 @p518)) % 2.42/2.69 (step @p520 :rule instantiate :premises (@p519) :args ((@list @t459 @t481 @t447))) % 2.42/2.69 (step @p521 :rule instantiate :premises (@p199) :args ((@list @t456))) % 2.42/2.69 (step @p522 :rule bool-impl-elim :args (@t276 @t388)) % 2.42/2.69 (step @p523 :rule cong :premises (@p522) :args (@t389)) % 2.42/2.69 (step @p524 :rule eq_resolve :premises (@p343 @p523)) % 2.42/2.69 (step @p525 :rule instantiate :premises (@p524) :args ((@list @t458))) % 2.42/2.69 (step @p526 :rule cnf_or_pos :args (@t490)) % 2.42/2.69 (step @p527 :rule reordering :premises (@p526) :args ((or @t489 @t485 (not @t490)))) % 2.42/2.69 (step @p528 :rule chain_m_resolution :premises (@p527 @p507 @p525) :args (@t489 @t480 (@list @t478 @t490))) % 2.42/2.69 (step @p529 :rule cnf_or_pos :args (@t497)) % 2.42/2.69 (step @p530 :rule reordering :premises (@p529) :args ((or @t496 @t495 @t493 (not @t497)))) % 2.42/2.69 (step @p531 :rule chain_m_resolution :premises (@p530 @p528 @p521 @p520) :args (@t493 (@list false false false) (@list @t489 @t494 @t497))) % 2.42/2.69 (step @p532 :rule bool-impl-elim :args (@t288 @t310)) % 2.42/2.69 (step @p533 :rule cong :premises (@p532) :args (@t312)) % 2.42/2.69 (step @p534 :rule eq_resolve :premises (@p219 @p533)) % 2.42/2.69 (step @p535 :rule instantiate :premises (@p534) :args ((@list @t456 tptp.nil @t447))) % 2.42/2.69 (step @p536 :rule bool-impl-elim :args (@t278 @t276)) % 2.42/2.69 (step @p537 :rule cong :premises (@p536) :args (@t280)) % 2.42/2.69 (step @p538 :rule eq_resolve :premises (@p202 @p537)) % 2.42/2.69 (step @p539 :rule instantiate :premises (@p538) :args ((@list @t456 tptp.nil))) % 2.42/2.69 (step @p540 :rule cnf_or_pos :args (@t499)) % 2.42/2.69 (step @p541 :rule reordering :premises (@p540) :args ((or @t498 @t495 (not @t499)))) % 2.42/2.69 (step @p542 :rule chain_m_resolution :premises (@p541 @p521 @p539) :args (@t498 @t480 (@list @t494 @t499))) % 2.42/2.69 (step @p543 :rule cnf_or_pos :args (@t502)) % 2.42/2.69 (step @p544 :rule reordering :premises (@p543) :args ((or @t501 @t500 (not @t502)))) % 2.42/2.69 (step @p545 :rule chain_m_resolution :premises (@p544 @p542 @p535) :args (@t500 @t480 (@list @t498 @t502))) % 2.42/2.69 (assume-push @p608 @t466) % 2.42/2.69 (assume-push @p609 @t461) % 2.42/2.69 (assume-push @p610 @t474) % 2.42/2.69 (assume-push @p611 @t484) % 2.42/2.69 (assume-push @p612 @t493) % 2.42/2.69 (assume-push @p613 @t500) % 2.42/2.69 (assume-push @p614 @t466) % 2.42/2.69 (assume-push @p615 @t484) % 2.42/2.69 (assume-push @p616 @t493) % 2.42/2.69 (assume-push @p617 @t500) % 2.42/2.69 (assume-push @p618 @t474) % 2.42/2.69 (assume-push @p619 @t461) % 2.42/2.69 (step @p451 :rule refl :args (@t447)) % 2.42/2.69 (step @p558 :rule symm :premises (@p608)) % 2.42/2.69 (step @p559 :rule cong :premises (@p558) :args (@t483)) % 2.42/2.69 (step @p560 :rule symm :premises (@p611)) % 2.42/2.69 (step @p561 :rule trans :premises (@p560 @p559)) % 2.42/2.69 (step @p562 :rule cong :premises (@p561 @p451) :args (@t492)) % 2.42/2.69 (step @p563 :rule symm :premises (@p612)) % 2.42/2.69 (step @p564 :rule symm :premises (@p545)) % 2.42/2.69 (step @p565 :rule refl :args (@t456)) % 2.42/2.69 (step @p566 :rule cong :premises (@p565 @p430) :args (@t457)) % 2.42/2.69 (step @p567 :rule trans :premises (@p566 @p564)) % 2.42/2.69 (step @p568 :rule refl :args (@t459)) % 2.42/2.69 (step @p569 :rule cong :premises (@p568 @p567) :args (@t460)) % 2.42/2.69 (step @p570 :rule trans :premises (@p609 @p569 @p563 @p562)) % 2.42/2.69 (step-pop @p620 :rule scope :premises (@p570)) % 2.42/2.69 (step-pop @p621 :rule scope :premises (@p620)) % 2.42/2.69 (step-pop @p622 :rule scope :premises (@p621)) % 2.42/2.69 (step-pop @p623 :rule scope :premises (@p622)) % 2.42/2.69 (step-pop @p624 :rule scope :premises (@p623)) % 2.42/2.69 (step-pop @p625 :rule scope :premises (@p624)) % 2.42/2.69 (step @p571 :rule process_scope :premises (@p625) :args (@t450)) % 2.42/2.69 (step @p578 :rule and_intro :premises (@p608 @p611 @p612 @p545 @p430 @p609)) % 2.42/2.69 (step @p579 :rule modus_ponens :premises (@p578 @p571)) % 2.42/2.69 (step-pop @p626 :rule scope :premises (@p579)) % 2.42/2.69 (step-pop @p627 :rule scope :premises (@p626)) % 2.42/2.69 (step-pop @p628 :rule scope :premises (@p627)) % 2.42/2.69 (step-pop @p629 :rule scope :premises (@p628)) % 2.42/2.69 (step-pop @p630 :rule scope :premises (@p629)) % 2.42/2.69 (step-pop @p631 :rule scope :premises (@p630)) % 2.42/2.69 (step @p580 :rule process_scope :premises (@p631) :args (@t450)) % 2.42/2.69 (step @p587 :rule implies_elim :premises (@p580)) % 2.42/2.69 (step @p588 :rule cnf_and_neg :args (@t503)) % 2.42/2.69 (step @p589 :rule resolution :premises (@p588 @p587) :args (true @t503)) % 2.42/2.69 (step @p590 :rule reordering :premises (@p589) :args ((or @t467 @t462 @t450 @t476 (not @t484) (not @t493) (not @t500)))) % 0.21/2.71 (step @p591 false :rule chain_m_resolution :premises (@p590 @p545 @p531 @p510 @p490 @p484 @p430 @p426) :args (false (@list false false false false false false true) (@list @t500 @t493 @t484 @t461 @t466 @t474 @t450))) % 0.21/2.71 ) % 0.21/2.71 % SZS output end Proof % 0.21/2.71 % cvc5 exiting %------------------------------------------------------------------------------