%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX060+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 : n003.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 54.65s 54.87s % Output : Proof 54.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX060+1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:54:44 EDT 2026 % 0.16/0.35 % CPUTime : % 0.38/0.55 %----Proving TF0_NAR, FOF, or CNF % 54.65/54.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 54.65/54.87 --- Run --no-e-matching --full-saturate-quant at 6... % 54.65/54.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 54.65/54.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 54.65/54.87 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 54.65/54.87 % SZS status Theorem % 54.65/54.87 % SZS output start Proof % 54.65/54.87 ( % 54.65/54.87 (declare-sort $$unsorted 0) % 54.65/54.87 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 54.65/54.87 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 54.65/54.87 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.gr (-> $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 54.65/54.87 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 54.65/54.87 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 54.65/54.87 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'0'| $$unsorted) % 54.65/54.87 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.nil $$unsorted) % 54.65/54.87 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 54.65/54.87 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 54.65/54.87 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.65/54.87 (define @t1 () (@var "Xx3" $$unsorted)) % 54.65/54.87 (define @t2 () (tptp.s @t1)) % 54.65/54.87 (define @t3 () (@var "Xx5" $$unsorted)) % 54.65/54.87 (define @t4 () (@var "Xx4" $$unsorted)) % 54.65/54.87 (define @t5 () (tptp.cons @t4 @t3)) % 54.65/54.87 (define @t6 () (@list @t4 @t3)) % 54.65/54.87 (define @t7 () (@var "Xx6" $$unsorted)) % 54.65/54.87 (define @t8 () (@var "Xx8" $$unsorted)) % 54.65/54.87 (define @t9 () (@var "Xx7" $$unsorted)) % 54.65/54.87 (define @t10 () (@var "Xx10" $$unsorted)) % 54.65/54.87 (define @t11 () (@var "Xx9" $$unsorted)) % 54.65/54.87 (define @t12 () (@var "Xx13" $$unsorted)) % 54.65/54.87 (define @t13 () (@var "Xx12" $$unsorted)) % 54.65/54.87 (define @t14 () (@var "Xx11" $$unsorted)) % 54.65/54.87 (define @t15 () (@var "Xx17" $$unsorted)) % 54.65/54.87 (define @t16 () (@var "Xx15" $$unsorted)) % 54.65/54.87 (define @t17 () (@var "Xx16" $$unsorted)) % 54.65/54.87 (define @t18 () (@var "Xx14" $$unsorted)) % 54.65/54.87 (define @t19 () (@var "Xx20" $$unsorted)) % 54.65/54.87 (define @t20 () (@var "Xx18" $$unsorted)) % 54.65/54.87 (define @t21 () (@var "Xx21" $$unsorted)) % 54.65/54.87 (define @t22 () (@var "Xx19" $$unsorted)) % 54.65/54.87 (define @t23 () (@var "Xx22" $$unsorted)) % 54.65/54.87 (define @t24 () (@var "Xx24" $$unsorted)) % 54.65/54.87 (define @t25 () (@var "Xx23" $$unsorted)) % 54.65/54.87 (define @t26 () (@var "Xx27" $$unsorted)) % 54.65/54.87 (define @t27 () (@var "Xx26" $$unsorted)) % 54.65/54.87 (define @t28 () (@var "Xx25" $$unsorted)) % 54.65/54.87 (define @t29 () (tptp.member2_fails @t28 @t27 @t26)) % 54.65/54.87 (define @t30 () (tptp.member2_succeeds @t28 @t27 @t26)) % 54.65/54.87 (define @t31 () (@list @t28 @t27 @t26)) % 54.65/54.87 (define @t32 () (or @t30 @t29)) % 54.65/54.87 (define @t33 () (tptp.member2_terminates @t28 @t27 @t26)) % 54.65/54.87 (define @t34 () (forall @t31 (=> @t33 @t32))) % 54.65/54.87 (define @t35 () (@var "Xx30" $$unsorted)) % 54.65/54.87 (define @t36 () (@var "Xx29" $$unsorted)) % 54.65/54.87 (define @t37 () (@var "Xx28" $$unsorted)) % 54.65/54.87 (define @t38 () (tptp.occ_fails @t37 @t36 @t35)) % 54.65/54.87 (define @t39 () (tptp.occ_succeeds @t37 @t36 @t35)) % 54.65/54.87 (define @t40 () (@list @t37 @t36 @t35)) % 54.65/54.87 (define @t41 () (or @t39 @t38)) % 54.65/54.87 (define @t42 () (tptp.occ_terminates @t37 @t36 @t35)) % 54.65/54.87 (define @t43 () (forall @t40 (=> @t42 @t41))) % 54.65/54.87 (define @t44 () (@var "Xx32" $$unsorted)) % 54.65/54.87 (define @t45 () (@var "Xx31" $$unsorted)) % 54.65/54.87 (define @t46 () (tptp.not_same_occ_fails @t45 @t44)) % 54.65/54.87 (define @t47 () (tptp.not_same_occ_succeeds @t45 @t44)) % 54.65/54.87 (define @t48 () (@list @t45 @t44)) % 54.65/54.87 (define @t49 () (@var "Xx34" $$unsorted)) % 54.65/54.87 (define @t50 () (@var "Xx33" $$unsorted)) % 54.65/54.87 (define @t51 () (tptp.same_occ_fails @t50 @t49)) % 54.65/54.87 (define @t52 () (tptp.same_occ_succeeds @t50 @t49)) % 54.65/54.87 (define @t53 () (@list @t50 @t49)) % 54.65/54.87 (define @t54 () (@var "Xx36" $$unsorted)) % 54.65/54.87 (define @t55 () (@var "Xx35" $$unsorted)) % 54.65/54.87 (define @t56 () (tptp.permutation_fails @t55 @t54)) % 54.65/54.87 (define @t57 () (tptp.permutation_succeeds @t55 @t54)) % 54.65/54.87 (define @t58 () (@list @t55 @t54)) % 54.65/54.87 (define @t59 () (@var "Xx39" $$unsorted)) % 54.65/54.87 (define @t60 () (@var "Xx38" $$unsorted)) % 54.65/54.87 (define @t61 () (@var "Xx37" $$unsorted)) % 54.65/54.87 (define @t62 () (tptp.delete_fails @t61 @t60 @t59)) % 54.65/54.87 (define @t63 () (tptp.delete_succeeds @t61 @t60 @t59)) % 54.65/54.87 (define @t64 () (@list @t61 @t60 @t59)) % 54.65/54.87 (define @t65 () (@var "Xx41" $$unsorted)) % 54.65/54.87 (define @t66 () (@var "Xx40" $$unsorted)) % 54.65/54.87 (define @t67 () (tptp.length_fails @t66 @t65)) % 54.65/54.87 (define @t68 () (tptp.length_succeeds @t66 @t65)) % 54.65/54.87 (define @t69 () (@list @t66 @t65)) % 54.65/54.87 (define @t70 () (@var "Xx44" $$unsorted)) % 54.65/54.87 (define @t71 () (@var "Xx43" $$unsorted)) % 54.65/54.87 (define @t72 () (@var "Xx42" $$unsorted)) % 54.65/54.87 (define @t73 () (tptp.append_fails @t72 @t71 @t70)) % 54.65/54.87 (define @t74 () (tptp.append_succeeds @t72 @t71 @t70)) % 54.65/54.87 (define @t75 () (@list @t72 @t71 @t70)) % 54.65/54.87 (define @t76 () (@var "Xx46" $$unsorted)) % 54.65/54.87 (define @t77 () (@var "Xx45" $$unsorted)) % 54.65/54.87 (define @t78 () (tptp.member_fails @t77 @t76)) % 54.65/54.87 (define @t79 () (tptp.member_succeeds @t77 @t76)) % 54.65/54.87 (define @t80 () (@list @t77 @t76)) % 54.65/54.87 (define @t81 () (@var "Xx47" $$unsorted)) % 54.65/54.87 (define @t82 () (tptp.list_fails @t81)) % 54.65/54.87 (define @t83 () (tptp.list_succeeds @t81)) % 54.65/54.87 (define @t84 () (@list @t81)) % 54.65/54.87 (define @t85 () (@var "Xx48" $$unsorted)) % 54.65/54.87 (define @t86 () (tptp.nat_list_fails @t85)) % 54.65/54.87 (define @t87 () (tptp.nat_list_succeeds @t85)) % 54.65/54.87 (define @t88 () (@list @t85)) % 54.65/54.87 (define @t89 () (@var "Xx51" $$unsorted)) % 54.65/54.87 (define @t90 () (@var "Xx50" $$unsorted)) % 54.65/54.87 (define @t91 () (@var "Xx49" $$unsorted)) % 54.65/54.87 (define @t92 () (tptp.times_fails @t91 @t90 @t89)) % 54.65/54.87 (define @t93 () (tptp.times_succeeds @t91 @t90 @t89)) % 54.65/54.87 (define @t94 () (@list @t91 @t90 @t89)) % 54.65/54.87 (define @t95 () (@var "Xx54" $$unsorted)) % 54.65/54.87 (define @t96 () (@var "Xx53" $$unsorted)) % 54.65/54.87 (define @t97 () (@var "Xx52" $$unsorted)) % 54.65/54.87 (define @t98 () (tptp.plus_fails @t97 @t96 @t95)) % 54.65/54.87 (define @t99 () (tptp.plus_succeeds @t97 @t96 @t95)) % 54.65/54.87 (define @t100 () (@list @t97 @t96 @t95)) % 54.65/54.87 (define @t101 () (@var "Xx56" $$unsorted)) % 54.65/54.87 (define @t102 () (@var "Xx55" $$unsorted)) % 54.65/54.87 (define @t103 () (|tptp.'@=<_fails'| @t102 @t101)) % 54.65/54.87 (define @t104 () (|tptp.'@=<_succeeds'| @t102 @t101)) % 54.65/54.87 (define @t105 () (@list @t102 @t101)) % 54.65/54.87 (define @t106 () (@var "Xx58" $$unsorted)) % 54.65/54.87 (define @t107 () (@var "Xx57" $$unsorted)) % 54.65/54.87 (define @t108 () (|tptp.'@<_fails'| @t107 @t106)) % 54.65/54.87 (define @t109 () (|tptp.'@<_succeeds'| @t107 @t106)) % 54.65/54.87 (define @t110 () (@list @t107 @t106)) % 54.65/54.87 (define @t111 () (@var "Xx59" $$unsorted)) % 54.65/54.87 (define @t112 () (tptp.nat_fails @t111)) % 54.65/54.87 (define @t113 () (tptp.nat_succeeds @t111)) % 54.65/54.87 (define @t114 () (@list @t111)) % 54.65/54.87 (define @t115 () (@var "Xx2" $$unsorted)) % 54.65/54.87 (define @t116 () (@var "Xx1" $$unsorted)) % 54.65/54.87 (define @t117 () (tptp.member_succeeds @t116 @t115)) % 54.65/54.87 (define @t118 () (@list @t116 @t115 @t1)) % 54.65/54.87 (define @t119 () (tptp.member_fails @t116 @t115)) % 54.65/54.87 (define @t120 () (tptp.member_terminates @t116 @t115)) % 54.65/54.87 (define @t121 () (= @t1 |tptp.'0'|)) % 54.65/54.87 (define @t122 () (= @t115 tptp.nil)) % 54.65/54.87 (define @t123 () (= @t1 (tptp.s @t9))) % 54.65/54.87 (define @t124 () (= @t115 (tptp.cons @t116 @t7))) % 54.65/54.87 (define @t125 () (@list @t7 @t9)) % 54.65/54.87 (define @t126 () (= @t116 @t4)) % 54.65/54.87 (define @t127 () (= @t115 @t5)) % 54.65/54.87 (define @t128 () (not @t121)) % 54.65/54.87 (define @t129 () (not @t122)) % 54.65/54.87 (define @t130 () (not @t123)) % 54.65/54.87 (define @t131 () (not @t124)) % 54.65/54.87 (define @t132 () (not @t127)) % 54.65/54.87 (define @t133 () (tptp.gr @t4)) % 54.65/54.87 (define @t134 () (tptp.gr @t116)) % 54.65/54.87 (define @t135 () (= @t4 @t3)) % 54.65/54.87 (define @t136 () (@list @t1 @t4 @t3)) % 54.65/54.87 (define @t137 () (tptp.not_same_occ_succeeds @t116 @t115)) % 54.65/54.87 (define @t138 () (@list @t116 @t115)) % 54.65/54.87 (define @t139 () (tptp.occ_fails @t1 @t115 @t3)) % 54.65/54.87 (define @t140 () (tptp.occ_fails @t1 @t116 @t4)) % 54.65/54.87 (define @t141 () (tptp.member2_fails @t1 @t116 @t115)) % 54.65/54.87 (define @t142 () (tptp.not_same_occ_fails @t116 @t115)) % 54.65/54.87 (define @t143 () (tptp.gr @t3)) % 54.65/54.87 (define @t144 () (and true @t133 @t143)) % 54.65/54.87 (define @t145 () (or @t139 @t144)) % 54.65/54.87 (define @t146 () (tptp.occ_terminates @t1 @t115 @t3)) % 54.65/54.87 (define @t147 () (and @t146 @t145)) % 54.65/54.87 (define @t148 () (or @t140 @t147)) % 54.65/54.87 (define @t149 () (tptp.occ_terminates @t1 @t116 @t4)) % 54.65/54.87 (define @t150 () (and @t149 @t148)) % 54.65/54.87 (define @t151 () (or @t141 @t150)) % 54.65/54.87 (define @t152 () (tptp.member2_terminates @t1 @t116 @t115)) % 54.65/54.87 (define @t153 () (and @t152 @t151)) % 54.65/54.87 (define @t154 () (forall @t136 @t153)) % 54.65/54.87 (define @t155 () (tptp.not_same_occ_terminates @t116 @t115)) % 54.65/54.87 (define @t156 () (= @t155 @t154)) % 54.65/54.87 (define @t157 () (forall @t138 @t156)) % 54.65/54.87 (define @t158 () (= @t116 tptp.nil)) % 54.65/54.87 (define @t159 () (tptp.cons @t1 @t4)) % 54.65/54.87 (define @t160 () (= @t115 @t159)) % 54.65/54.87 (define @t161 () (not @t158)) % 54.65/54.87 (define @t162 () (tptp.delete_fails @t1 @t116 @t3)) % 54.65/54.87 (define @t163 () (not @t160)) % 54.65/54.87 (define @t164 () (or @t161 true)) % 54.65/54.87 (define @t165 () (= @t115 (tptp.cons @t116 @t1))) % 54.65/54.87 (define @t166 () (= @t1 (tptp.cons @t4 @t7))) % 54.65/54.87 (define @t167 () (@list @t4 @t3 @t7)) % 54.65/54.87 (define @t168 () (not @t166)) % 54.65/54.87 (define @t169 () (= @t115 |tptp.'0'|)) % 54.65/54.87 (define @t170 () (tptp.s @t3)) % 54.65/54.87 (define @t171 () (= @t115 @t170)) % 54.65/54.87 (define @t172 () (= @t116 @t159)) % 54.65/54.87 (define @t173 () (not @t171)) % 54.65/54.87 (define @t174 () (not @t172)) % 54.65/54.87 (define @t175 () (= @t1 @t115)) % 54.65/54.87 (define @t176 () (= @t116 @t5)) % 54.65/54.87 (define @t177 () (not @t175)) % 54.65/54.87 (define @t178 () (not @t176)) % 54.65/54.87 (define @t179 () (= @t115 (tptp.cons @t116 @t3))) % 54.65/54.87 (define @t180 () (@list @t3)) % 54.65/54.87 (define @t181 () (@list @t1 @t4)) % 54.65/54.87 (define @t182 () (tptp.list_succeeds @t1)) % 54.65/54.87 (define @t183 () (tptp.cons @t115 @t1)) % 54.65/54.87 (define @t184 () (= @t116 @t183)) % 54.65/54.87 (define @t185 () (@list @t115 @t1)) % 54.65/54.87 (define @t186 () (@list @t116)) % 54.65/54.87 (define @t187 () (not @t184)) % 54.65/54.87 (define @t188 () (tptp.nat_succeeds @t115)) % 54.65/54.87 (define @t189 () (tptp.nat_fails @t115)) % 54.65/54.87 (define @t190 () (tptp.nat_terminates @t115)) % 54.65/54.87 (define @t191 () (= @t116 |tptp.'0'|)) % 54.65/54.87 (define @t192 () (tptp.s @t4)) % 54.65/54.87 (define @t193 () (= @t116 @t192)) % 54.65/54.87 (define @t194 () (not @t191)) % 54.65/54.87 (define @t195 () (tptp.times_fails @t4 @t115 @t3)) % 54.65/54.87 (define @t196 () (not @t193)) % 54.65/54.87 (define @t197 () (or @t194 true)) % 54.65/54.87 (define @t198 () (= @t1 @t170)) % 54.65/54.87 (define @t199 () (not @t198)) % 54.65/54.87 (define @t200 () (= @t115 @t192)) % 54.65/54.87 (define @t201 () (= @t116 @t2)) % 54.65/54.87 (define @t202 () (not @t200)) % 54.65/54.87 (define @t203 () (not @t201)) % 54.65/54.87 (define @t204 () (= @t116 (tptp.s @t115))) % 54.65/54.87 (define @t205 () (@list @t115)) % 54.65/54.87 (define @t206 () (tptp.nat_succeeds @t116)) % 54.65/54.87 (define @t207 () (not @t204)) % 54.65/54.87 (define @t208 () (@var "Xx" $$unsorted)) % 54.65/54.87 (define @t209 () (tptp.nat_succeeds @t208)) % 54.65/54.87 (define @t210 () (@list @t208)) % 54.65/54.87 (define @t211 () (tptp.gr @t208)) % 54.65/54.87 (define @t212 () (@var "Xz" $$unsorted)) % 54.65/54.87 (define @t213 () (@var "Xy" $$unsorted)) % 54.65/54.87 (define @t214 () (tptp.plus_terminates @t208 @t213 @t212)) % 54.65/54.87 (define @t215 () (@list @t208 @t213 @t212)) % 54.65/54.87 (define @t216 () (tptp.nat_succeeds @t212)) % 54.65/54.87 (define @t217 () (tptp.plus_succeeds @t208 @t213 @t212)) % 54.65/54.87 (define @t218 () (tptp.nat_succeeds @t213)) % 54.65/54.87 (define @t219 () (tptp.gr @t212)) % 54.65/54.87 (define @t220 () (tptp.gr @t213)) % 54.65/54.87 (define @t221 () (@list @t212)) % 54.65/54.87 (define @t222 () (@list @t208 @t213)) % 54.65/54.87 (define @t223 () (@var "Xz2" $$unsorted)) % 54.65/54.87 (define @t224 () (@var "Xz1" $$unsorted)) % 54.65/54.87 (define @t225 () (= @t224 @t223)) % 54.65/54.87 (define @t226 () (@list @t208 @t213 @t224 @t223)) % 54.65/54.87 (define @t227 () (@list @t213)) % 54.65/54.87 (define @t228 () (|tptp.'@+'| @t208 @t213)) % 54.65/54.87 (define @t229 () (tptp.s @t208)) % 54.65/54.87 (define @t230 () (|tptp.'@+'| @t229 @t213)) % 54.65/54.87 (define @t231 () (and @t209 @t218)) % 54.65/54.87 (define @t232 () (|tptp.'@+'| @t213 @t212)) % 54.65/54.87 (define @t233 () (and @t209 @t218 @t216)) % 54.65/54.87 (define @t234 () (tptp.s @t213)) % 54.65/54.87 (define @t235 () (|tptp.'@+'| @t208 @t234)) % 54.65/54.87 (define @t236 () (|tptp.'@+'| @t213 @t208)) % 54.65/54.87 (define @t237 () (|tptp.'@+'| @t208 @t212)) % 54.65/54.87 (define @t238 () (tptp.times_succeeds @t208 @t213 @t212)) % 54.65/54.87 (define @t239 () (|tptp.'@*'| @t208 @t213)) % 54.65/54.87 (define @t240 () (|tptp.'@*'| @t229 @t213)) % 54.65/54.87 (define @t241 () (|tptp.'@*'| @t213 @t212)) % 54.65/54.87 (define @t242 () (|tptp.'@*'| @t208 @t212)) % 54.65/54.87 (define @t243 () (|tptp.'@*'| @t213 @t208)) % 54.65/54.87 (define @t244 () (tptp.s |tptp.'0'|)) % 54.65/54.87 (define @t245 () (|tptp.'@<_terminates'| @t208 @t213)) % 54.65/54.87 (define @t246 () (|tptp.'@<_succeeds'| @t208 @t213)) % 54.65/54.87 (define @t247 () (tptp.s @t212)) % 54.65/54.87 (define @t248 () (|tptp.'@<_succeeds'| @t208 @t212)) % 54.65/54.87 (define @t249 () (|tptp.'@<_succeeds'| @t208 @t234)) % 54.65/54.87 (define @t250 () (|tptp.'@<_succeeds'| @t213 @t212)) % 54.65/54.87 (define @t251 () (= @t208 @t213)) % 54.65/54.87 (define @t252 () (or @t246 @t251)) % 54.65/54.87 (define @t253 () (not (= @t208 |tptp.'0'|))) % 54.65/54.87 (define @t254 () (|tptp.'@=<_succeeds'| @t208 @t213)) % 54.65/54.87 (define @t255 () (|tptp.'@=<_succeeds'| @t213 @t208)) % 54.65/54.87 (define @t256 () (|tptp.'@=<_succeeds'| @t213 @t212)) % 54.65/54.87 (define @t257 () (|tptp.'@<_succeeds'| @t228 @t237)) % 54.65/54.87 (define @t258 () (|tptp.'@<_succeeds'| @t237 @t232)) % 54.65/54.87 (define @t259 () (|tptp.'@=<_succeeds'| @t228 @t237)) % 54.65/54.87 (define @t260 () (and @t254 @t218 @t216)) % 54.65/54.87 (define @t261 () (@var "Xy2" $$unsorted)) % 54.65/54.87 (define @t262 () (@var "Xy1" $$unsorted)) % 54.65/54.87 (define @t263 () (|tptp.'@+'| @t262 @t261)) % 54.65/54.87 (define @t264 () (|tptp.'@+'| @t116 @t115)) % 54.65/54.87 (define @t265 () (tptp.nat_succeeds @t262)) % 54.65/54.87 (define @t266 () (|tptp.'@=<_succeeds'| @t115 @t261)) % 54.65/54.87 (define @t267 () (|tptp.'@=<_succeeds'| @t116 @t262)) % 54.65/54.87 (define @t268 () (@list @t116 @t115 @t262 @t261)) % 54.65/54.87 (define @t269 () (|tptp.'@<_succeeds'| @t264 @t263)) % 54.65/54.87 (define @t270 () (|tptp.'@<_succeeds'| @t116 @t262)) % 54.65/54.87 (define @t271 () (|tptp.'@<_succeeds'| @t115 @t261)) % 54.65/54.87 (define @t272 () (@var "Xl" $$unsorted)) % 54.65/54.87 (define @t273 () (tptp.list_succeeds @t272)) % 54.65/54.87 (define @t274 () (tptp.cons @t208 @t272)) % 54.65/54.87 (define @t275 () (@list @t208 @t272)) % 54.65/54.87 (define @t276 () (@list @t272)) % 54.65/54.87 (define @t277 () (tptp.member_succeeds @t208 @t272)) % 54.65/54.87 (define @t278 () (tptp.gr @t272)) % 54.65/54.87 (define @t279 () (not @t251)) % 54.65/54.87 (define @t280 () (@var "Xl1" $$unsorted)) % 54.65/54.87 (define @t281 () (tptp.list_succeeds @t280)) % 54.65/54.87 (define @t282 () (@var "Xl3" $$unsorted)) % 54.65/54.87 (define @t283 () (@var "Xl2" $$unsorted)) % 54.65/54.87 (define @t284 () (tptp.append_succeeds @t280 @t283 @t282)) % 54.65/54.87 (define @t285 () (@list @t280 @t283 @t282)) % 54.65/54.87 (define @t286 () (tptp.list_succeeds @t282)) % 54.65/54.87 (define @t287 () (tptp.list_succeeds @t283)) % 54.65/54.87 (define @t288 () (and @t284 @t286)) % 54.65/54.87 (define @t289 () (and @t281 @t287)) % 54.65/54.87 (define @t290 () (tptp.append_terminates @t280 @t283 @t282)) % 54.65/54.87 (define @t291 () (tptp.gr @t282)) % 54.65/54.87 (define @t292 () (tptp.gr @t283)) % 54.65/54.87 (define @t293 () (tptp.gr @t280)) % 54.65/54.87 (define @t294 () (and @t293 @t292)) % 54.65/54.87 (define @t295 () (@list @t280 @t283)) % 54.65/54.87 (define @t296 () (@var "Xl4" $$unsorted)) % 54.65/54.87 (define @t297 () (@list @t280 @t283 @t282 @t296)) % 54.65/54.87 (define @t298 () (|tptp.'**'| @t280 @t283)) % 54.65/54.87 (define @t299 () (tptp.cons @t208 @t280)) % 54.65/54.87 (define @t300 () (@list @t208 @t280 @t283)) % 54.65/54.87 (define @t301 () (tptp.list_succeeds @t298)) % 54.65/54.87 (define @t302 () (tptp.gr @t298)) % 54.65/54.87 (define @t303 () (|tptp.'**'| @t283 @t282)) % 54.65/54.87 (define @t304 () (@var "Xn" $$unsorted)) % 54.65/54.87 (define @t305 () (tptp.nat_succeeds @t304)) % 54.65/54.87 (define @t306 () (tptp.length_succeeds @t272 @t304)) % 54.65/54.87 (define @t307 () (@list @t272 @t304)) % 54.65/54.87 (define @t308 () (tptp.gr @t304)) % 54.65/54.87 (define @t309 () (@var "Xm" $$unsorted)) % 54.65/54.87 (define @t310 () (tptp.lh @t272)) % 54.65/54.87 (define @t311 () (tptp.lh @t274)) % 54.65/54.87 (define @t312 () (tptp.cons @t208 @t283)) % 54.65/54.87 (define @t313 () (tptp.s @t304)) % 54.65/54.87 (define @t314 () (tptp.lh @t280)) % 54.65/54.87 (define @t315 () (tptp.lh @t283)) % 54.65/54.87 (define @t316 () (|tptp.'@+'| @t314 @t315)) % 54.65/54.87 (define @t317 () (tptp.lh @t298)) % 54.65/54.87 (define @t318 () (tptp.lh @t282)) % 54.65/54.87 (define @t319 () (@var "Xi" $$unsorted)) % 54.65/54.87 (define @t320 () (tptp.cons @t208 @t319)) % 54.65/54.87 (define @t321 () (@var "Xk" $$unsorted)) % 54.65/54.87 (define @t322 () (@var "Xj" $$unsorted)) % 54.65/54.87 (define @t323 () (tptp.sub @t319 @t322)) % 54.65/54.87 (define @t324 () (@list @t208 @t319 @t322)) % 54.65/54.87 (define @t325 () (tptp.append_succeeds @t280 @t312 @t282)) % 54.65/54.87 (define @t326 () (tptp.member_succeeds @t208 @t282)) % 54.65/54.87 (define @t327 () (tptp.member_succeeds @t208 @t280)) % 54.65/54.87 (define @t328 () (@list @t208 @t280 @t283 @t282)) % 54.65/54.87 (define @t329 () (tptp.member_succeeds @t208 @t283)) % 54.65/54.87 (define @t330 () (tptp.member_succeeds @t208 @t298)) % 54.65/54.87 (define @t331 () (or @t327 @t329)) % 54.65/54.87 (define @t332 () (= @t280 tptp.nil)) % 54.65/54.87 (define @t333 () (tptp.nat_list_succeeds @t272)) % 54.65/54.87 (define @t334 () (|tptp.'@<_succeeds'| @t316 @t304)) % 54.65/54.87 (define @t335 () (tptp.delete_terminates @t208 @t280 @t283)) % 54.65/54.87 (define @t336 () (tptp.delete_succeeds @t208 @t280 @t283)) % 54.65/54.87 (define @t337 () (and @t336 @t281)) % 54.65/54.87 (define @t338 () (tptp.member_succeeds @t213 @t283)) % 54.65/54.87 (define @t339 () (tptp.member_succeeds @t213 @t280)) % 54.65/54.87 (define @t340 () (@list @t208 @t213 @t280 @t283)) % 54.65/54.87 (define @t341 () (@list @t283)) % 54.65/54.87 (define @t342 () (tptp.permutation_terminates @t280 @t283)) % 54.65/54.87 (define @t343 () (tptp.member2_terminates @t208 @t280 @t283)) % 54.65/54.87 (define @t344 () (forall @t300 (=> @t289 @t343))) % 54.65/54.87 (define @t345 () (tptp.occ_terminates @t208 @t272 @t304)) % 54.65/54.87 (define @t346 () (and @t273 @t278 @t211)) % 54.65/54.87 (define @t347 () (@list @t208 @t272 @t304)) % 54.65/54.87 (define @t348 () (forall @t347 (=> @t346 @t345))) % 54.65/54.87 (define @t349 () (tptp.member2_succeeds @t208 @t280 @t283)) % 54.65/54.87 (define @t350 () (and @t349 @t293 @t292)) % 54.65/54.87 (define @t351 () (forall @t300 (=> @t350 @t211))) % 54.65/54.87 (define @t352 () (tptp.occ_succeeds @t208 @t272 @t304)) % 54.65/54.87 (define @t353 () (forall @t347 (=> @t352 @t308))) % 54.65/54.87 (define @t354 () (tptp.not_same_occ_terminates @t280 @t283)) % 54.65/54.87 (define @t355 () (forall @t341 (=> (and @t292 @t293 @t287) @t354))) % 54.65/54.87 (define @t356 () (@list @t280)) % 54.65/54.87 (define @t357 () (and @t281 @t287 @t293 @t292)) % 54.65/54.87 (define @t358 () (forall @t295 (=> @t357 @t354))) % 54.65/54.87 (define @t359 () (not @t358)) % 54.65/54.87 (define @t360 () (not @t42)) % 54.65/54.87 (define @t361 () (@var "BOUND_VARIABLE_9296" $$unsorted)) % 54.65/54.87 (define @t362 () (@var "BOUND_VARIABLE_9294" $$unsorted)) % 54.65/54.87 (define @t363 () (and (tptp.gr @t362) (tptp.gr @t361))) % 54.65/54.87 (define @t364 () (@var "BOUND_VARIABLE_10641" $$unsorted)) % 54.65/54.87 (define @t365 () (not @t293)) % 54.65/54.87 (define @t366 () (not @t281)) % 54.65/54.87 (define @t367 () (forall (@list @t280 @t364) (or @t366 @t365 (not (tptp.gr @t364)) (not (tptp.list_succeeds @t364)) (tptp.not_same_occ_terminates @t280 @t364)))) % 54.65/54.87 (define @t368 () (@quantifiers_skolemize @t367 1)) % 54.65/54.87 (define @t369 () (@var "BOUND_VARIABLE_9292" $$unsorted)) % 54.65/54.87 (define @t370 () (@quantifiers_skolemize @t367 0)) % 54.65/54.87 (define @t371 () (@list @t369 @t362 @t361)) % 54.65/54.87 (define @t372 () (forall @t371 (or (tptp.member2_fails @t369 @t370 @t368) (and (tptp.occ_terminates @t369 @t370 @t362) (or (tptp.occ_fails @t369 @t370 @t362) (and (tptp.occ_terminates @t369 @t368 @t361) (or (tptp.occ_fails @t369 @t368 @t361) @t363))))))) % 54.65/54.87 (define @t373 () (@quantifiers_skolemize @t372 2)) % 54.65/54.87 (define @t374 () (@quantifiers_skolemize @t372 0)) % 54.65/54.87 (define @t375 () (@list @t374 @t368 @t373)) % 54.65/54.87 (define @t376 () (not @t211)) % 54.65/54.87 (define @t377 () (not @t278)) % 54.65/54.87 (define @t378 () (not @t273)) % 54.65/54.87 (define @t379 () (or @t378 @t377 @t376)) % 54.65/54.87 (define @t380 () (not @t292)) % 54.65/54.87 (define @t381 () (not @t349)) % 54.65/54.87 (define @t382 () (or @t381 @t365 @t380)) % 54.65/54.87 (define @t383 () (or @t365 @t380)) % 54.65/54.87 (define @t384 () (not @t294)) % 54.65/54.87 (define @t385 () (@list @t374 @t370 @t368)) % 54.65/54.87 (define @t386 () (not @t33)) % 54.65/54.87 (define @t387 () (not @t287)) % 54.65/54.87 (define @t388 () (or @t366 @t387 @t365 @t380 @t354)) % 54.65/54.87 (define @t389 () (or @t366 @t387 @t365 @t380)) % 54.65/54.87 (define @t390 () (or @t366 @t365 @t380 @t387 @t354)) % 54.65/54.87 (define @t391 () (forall @t295 @t388)) % 54.65/54.87 (define @t392 () (forall @t295 @t390)) % 54.65/54.87 (define @t393 () (@var "BOUND_VARIABLE_13247" $$unsorted)) % 54.65/54.87 (define @t394 () (@var "BOUND_VARIABLE_13246" $$unsorted)) % 54.65/54.87 (define @t395 () (@list @t394 @t393)) % 54.65/54.87 (define @t396 () (not @t367)) % 54.65/54.87 (define @t397 () (@list true)) % 54.65/54.87 (define @t398 () (tptp.list_succeeds @t368)) % 54.65/54.87 (define @t399 () (tptp.not_same_occ_terminates @t370 @t368)) % 54.65/54.87 (define @t400 () (not @t398)) % 54.65/54.87 (define @t401 () (tptp.gr @t368)) % 54.65/54.87 (define @t402 () (not @t401)) % 54.65/54.87 (define @t403 () (tptp.gr @t370)) % 54.65/54.87 (define @t404 () (not @t403)) % 54.65/54.87 (define @t405 () (tptp.list_succeeds @t370)) % 54.65/54.87 (define @t406 () (not @t405)) % 54.65/54.87 (define @t407 () (or @t406 @t404 @t402 @t400 @t399)) % 54.65/54.87 (define @t408 () (@list @t407)) % 54.65/54.87 (define @t409 () (tptp.member2_terminates @t374 @t370 @t368)) % 54.65/54.87 (define @t410 () (or @t406 @t400 @t409)) % 54.65/54.87 (define @t411 () (@list false false false)) % 54.65/54.87 (define @t412 () (@var "BOUND_VARIABLE_9283" $$unsorted)) % 54.65/54.87 (define @t413 () (@list @t412)) % 54.65/54.87 (define @t414 () (forall @t413 (tptp.member2_terminates @t412 @t370 @t368))) % 54.65/54.87 (define @t415 () (@quantifiers_skolemize @t414 0)) % 54.65/54.87 (define @t416 () (tptp.member2_terminates @t415 @t370 @t368)) % 54.65/54.87 (define @t417 () (or @t406 @t400 @t416)) % 54.65/54.87 (define @t418 () (not @t416)) % 54.65/54.87 (define @t419 () (not @t414)) % 54.65/54.87 (define @t420 () (forall @t371 (or (tptp.member2_fails @t369 @t116 @t115) (and (tptp.occ_terminates @t369 @t116 @t362) (or (tptp.occ_fails @t369 @t116 @t362) (and (tptp.occ_terminates @t369 @t115 @t361) (or (tptp.occ_fails @t369 @t115 @t361) @t363))))))) % 54.65/54.87 (define @t421 () (tptp.member2_terminates @t412 @t116 @t115)) % 54.65/54.87 (define @t422 () (@var "BOUND_VARIABLE_9287" $$unsorted)) % 54.65/54.87 (define @t423 () (@var "BOUND_VARIABLE_9285" $$unsorted)) % 54.65/54.87 (define @t424 () (forall (@list @t412 @t423 @t422) @t421)) % 54.65/54.87 (define @t425 () (and @t133 @t143)) % 54.65/54.87 (define @t426 () (or @t141 (and @t149 (or @t140 (and @t146 (or @t139 @t425)))))) % 54.65/54.87 (define @t427 () (forall @t136 @t426)) % 54.65/54.87 (define @t428 () (@list @t1 @t4 @t3)) % 54.65/54.87 (define @t429 () (forall @t136 @t152)) % 54.65/54.87 (define @t430 () (and @t429 @t427)) % 54.65/54.87 (define @t431 () (and @t414 @t372)) % 54.65/54.87 (define @t432 () (= @t399 @t431)) % 54.65/54.87 (define @t433 () (not @t431)) % 54.65/54.87 (define @t434 () (@list true false)) % 54.65/54.87 (define @t435 () (not @t372)) % 54.65/54.87 (define @t436 () (tptp.gr @t373)) % 54.65/54.87 (define @t437 () (@quantifiers_skolemize @t372 1)) % 54.65/54.87 (define @t438 () (tptp.gr @t437)) % 54.65/54.87 (define @t439 () (and @t438 @t436)) % 54.65/54.87 (define @t440 () (tptp.occ_fails @t374 @t368 @t373)) % 54.65/54.87 (define @t441 () (or @t440 @t439)) % 54.65/54.87 (define @t442 () (tptp.occ_terminates @t374 @t368 @t373)) % 54.65/54.87 (define @t443 () (and @t442 @t441)) % 54.65/54.87 (define @t444 () (tptp.occ_fails @t374 @t370 @t437)) % 54.65/54.87 (define @t445 () (or @t444 @t443)) % 54.65/54.87 (define @t446 () (tptp.occ_terminates @t374 @t370 @t437)) % 54.65/54.87 (define @t447 () (and @t446 @t445)) % 54.65/54.87 (define @t448 () (tptp.member2_fails @t374 @t370 @t368)) % 54.65/54.87 (define @t449 () (or @t448 @t447)) % 54.65/54.87 (define @t450 () (not @t449)) % 54.65/54.87 (define @t451 () (@list @t449)) % 54.65/54.87 (define @t452 () (tptp.member2_succeeds @t374 @t370 @t368)) % 54.65/54.87 (define @t453 () (not @t409)) % 54.65/54.87 (define @t454 () (or @t453 @t452 @t448)) % 54.65/54.87 (define @t455 () (@list true false false)) % 54.65/54.87 (define @t456 () (tptp.gr @t374)) % 54.65/54.87 (define @t457 () (not @t452)) % 54.65/54.87 (define @t458 () (or @t457 @t404 @t402 @t456)) % 54.65/54.87 (define @t459 () (@list false false false false)) % 54.65/54.87 (define @t460 () (not @t456)) % 54.65/54.87 (define @t461 () (or @t400 @t402 @t460 @t442)) % 54.65/54.87 (define @t462 () (@list @t374 @t370 @t437)) % 54.65/54.87 (define @t463 () (or @t406 @t404 @t460 @t446)) % 54.65/54.87 (define @t464 () (@list @t445)) % 54.65/54.87 (define @t465 () (@list @t441)) % 54.65/54.87 (define @t466 () (tptp.occ_succeeds @t374 @t368 @t373)) % 54.65/54.87 (define @t467 () (not @t442)) % 54.65/54.87 (define @t468 () (or @t467 @t466 @t440)) % 54.65/54.87 (define @t469 () (tptp.occ_succeeds @t374 @t370 @t437)) % 54.65/54.87 (define @t470 () (not @t446)) % 54.65/54.87 (define @t471 () (or @t470 @t469 @t444)) % 54.65/54.87 (define @t472 () (not @t469)) % 54.65/54.87 (define @t473 () (or @t472 @t438)) % 54.65/54.87 (define @t474 () (not @t466)) % 54.65/54.87 (define @t475 () (or @t474 @t436)) % 54.65/54.87 (define @t476 () (not @t475)) % 54.65/54.87 (define @t477 () (forall @t347 (or (not @t352) @t308))) % 54.65/54.87 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 54.65/54.87 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 54.65/54.87 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 54.65/54.87 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 54.65/54.87 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 54.65/54.87 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 54.65/54.87 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 54.65/54.87 (assume @p8 (forall (@list @t18 @t16 @t17 @t15) (=> (= (tptp.cons @t18 @t16) (tptp.cons @t17 @t15)) (= @t16 @t15)))) % 54.65/54.87 (assume @p9 (forall (@list @t20 @t22 @t19 @t21) (=> (= (tptp.cons @t20 @t22) (tptp.cons @t19 @t21)) (= @t20 @t19)))) % 54.65/54.87 (assume @p10 (tptp.gr |tptp.'0'|)) % 54.65/54.87 (assume @p11 (tptp.gr tptp.nil)) % 54.65/54.87 (assume @p12 (forall (@list @t23) (= (tptp.gr @t23) (tptp.gr (tptp.s @t23))))) % 54.65/54.87 (assume @p13 (forall (@list @t25 @t24) (= (and (tptp.gr @t25) (tptp.gr @t24)) (tptp.gr (tptp.cons @t25 @t24))))) % 54.65/54.87 (assume @p14 (forall @t31 (not (and @t30 @t29)))) % 54.65/54.87 (assume @p15 @t34) % 54.65/54.87 (assume @p16 (forall @t40 (not (and @t39 @t38)))) % 54.65/54.87 (assume @p17 @t43) % 54.65/54.87 (assume @p18 (forall @t48 (not (and @t47 @t46)))) % 54.65/54.87 (assume @p19 (forall @t48 (=> (tptp.not_same_occ_terminates @t45 @t44) (or @t47 @t46)))) % 54.65/54.87 (assume @p20 (forall @t53 (not (and @t52 @t51)))) % 54.65/54.87 (assume @p21 (forall @t53 (=> (tptp.same_occ_terminates @t50 @t49) (or @t52 @t51)))) % 54.65/54.87 (assume @p22 (forall @t58 (not (and @t57 @t56)))) % 54.65/54.87 (assume @p23 (forall @t58 (=> (tptp.permutation_terminates @t55 @t54) (or @t57 @t56)))) % 54.65/54.87 (assume @p24 (forall @t64 (not (and @t63 @t62)))) % 54.65/54.87 (assume @p25 (forall @t64 (=> (tptp.delete_terminates @t61 @t60 @t59) (or @t63 @t62)))) % 54.65/54.87 (assume @p26 (forall @t69 (not (and @t68 @t67)))) % 54.65/54.87 (assume @p27 (forall @t69 (=> (tptp.length_terminates @t66 @t65) (or @t68 @t67)))) % 54.65/54.87 (assume @p28 (forall @t75 (not (and @t74 @t73)))) % 54.65/54.87 (assume @p29 (forall @t75 (=> (tptp.append_terminates @t72 @t71 @t70) (or @t74 @t73)))) % 54.65/54.87 (assume @p30 (forall @t80 (not (and @t79 @t78)))) % 54.65/54.87 (assume @p31 (forall @t80 (=> (tptp.member_terminates @t77 @t76) (or @t79 @t78)))) % 54.65/54.87 (assume @p32 (forall @t84 (not (and @t83 @t82)))) % 54.65/54.87 (assume @p33 (forall @t84 (=> (tptp.list_terminates @t81) (or @t83 @t82)))) % 54.65/54.87 (assume @p34 (forall @t88 (not (and @t87 @t86)))) % 54.65/54.87 (assume @p35 (forall @t88 (=> (tptp.nat_list_terminates @t85) (or @t87 @t86)))) % 54.65/54.87 (assume @p36 (forall @t94 (not (and @t93 @t92)))) % 54.65/54.87 (assume @p37 (forall @t94 (=> (tptp.times_terminates @t91 @t90 @t89) (or @t93 @t92)))) % 54.65/54.87 (assume @p38 (forall @t100 (not (and @t99 @t98)))) % 54.65/54.87 (assume @p39 (forall @t100 (=> (tptp.plus_terminates @t97 @t96 @t95) (or @t99 @t98)))) % 54.65/54.87 (assume @p40 (forall @t105 (not (and @t104 @t103)))) % 54.65/54.87 (assume @p41 (forall @t105 (=> (|tptp.'@=<_terminates'| @t102 @t101) (or @t104 @t103)))) % 54.65/54.87 (assume @p42 (forall @t110 (not (and @t109 @t108)))) % 54.65/54.87 (assume @p43 (forall @t110 (=> (|tptp.'@<_terminates'| @t107 @t106) (or @t109 @t108)))) % 54.65/54.87 (assume @p44 (forall @t114 (not (and @t113 @t112)))) % 54.65/54.87 (assume @p45 (forall @t114 (=> (tptp.nat_terminates @t111) (or @t113 @t112)))) % 54.65/54.87 (assume @p46 (forall @t118 (= (tptp.member2_succeeds @t116 @t115 @t1) (or (tptp.member_succeeds @t116 @t1) @t117)))) % 54.65/54.87 (assume @p47 (forall @t118 (= (tptp.member2_fails @t116 @t115 @t1) (and (tptp.member_fails @t116 @t1) @t119)))) % 54.65/54.87 (assume @p48 (forall @t118 (= (tptp.member2_terminates @t116 @t115 @t1) (and (tptp.member_terminates @t116 @t1) @t120)))) % 54.65/54.87 (assume @p49 (forall @t118 (= (tptp.occ_succeeds @t116 @t115 @t1) (or (exists @t6 (and @t127 (not @t126) (tptp.occ_succeeds @t116 @t3 @t1))) (exists @t125 (and @t124 @t123 (tptp.occ_succeeds @t116 @t7 @t9))) (and @t122 @t121))))) % 54.65/54.87 (assume @p50 (forall @t118 (= (tptp.occ_fails @t116 @t115 @t1) (and (forall @t6 (or @t132 @t126 (tptp.occ_fails @t116 @t3 @t1))) (forall @t125 (or @t131 @t130 (tptp.occ_fails @t116 @t7 @t9))) (or @t129 @t128))))) % 54.65/54.87 (assume @p51 (forall @t118 (= (tptp.occ_terminates @t116 @t115 @t1) (and (forall @t6 (and true (or @t132 (and true @t134 @t133 (or @t126 (tptp.occ_terminates @t116 @t3 @t1)))))) (forall @t125 (and true (or @t131 (and true (or @t130 (tptp.occ_terminates @t116 @t7 @t9)))))) true (or @t129 true))))) % 54.65/54.87 (assume @p52 (forall @t138 (= @t137 (exists @t136 (and (tptp.member2_succeeds @t1 @t116 @t115) (tptp.occ_succeeds @t1 @t116 @t4) (tptp.occ_succeeds @t1 @t115 @t3) (not @t135)))))) % 54.65/54.87 (assume @p53 (forall @t138 (= @t142 (forall @t136 (or @t141 @t140 @t139 @t135))))) % 54.65/54.87 (assume @p54 @t157) % 54.65/54.87 (assume @p55 (forall @t138 (= (tptp.same_occ_succeeds @t116 @t115) @t142))) % 54.65/54.87 (assume @p56 (forall @t138 (= (tptp.same_occ_fails @t116 @t115) @t137))) % 54.65/54.87 (assume @p57 (forall @t138 (= (tptp.same_occ_terminates @t116 @t115) (and @t155 @t134 (tptp.gr @t115))))) % 54.65/54.87 (assume @p58 (forall @t138 (= (tptp.permutation_succeeds @t116 @t115) (or (exists @t136 (and @t160 (tptp.delete_succeeds @t1 @t116 @t3) (tptp.permutation_succeeds @t3 @t4))) (and @t158 @t122))))) % 54.65/54.87 (assume @p59 (forall @t138 (= (tptp.permutation_fails @t116 @t115) (and (forall @t136 (or @t163 @t162 (tptp.permutation_fails @t3 @t4))) (or @t161 @t129))))) % 54.65/54.87 (assume @p60 (forall @t138 (= (tptp.permutation_terminates @t116 @t115) (and (forall @t136 (and true (or @t163 (and (tptp.delete_terminates @t1 @t116 @t3) (or @t162 (tptp.permutation_terminates @t3 @t4)))))) true @t164)))) % 54.65/54.87 (assume @p61 (forall @t118 (= (tptp.delete_succeeds @t116 @t115 @t1) (or (exists @t167 (and @t127 @t166 (tptp.delete_succeeds @t116 @t3 @t7))) @t165)))) % 54.65/54.87 (assume @p62 (forall @t118 (= (tptp.delete_fails @t116 @t115 @t1) (and (forall @t167 (or @t132 @t168 (tptp.delete_fails @t116 @t3 @t7))) (not @t165))))) % 54.65/54.87 (assume @p63 (forall @t118 (= (tptp.delete_terminates @t116 @t115 @t1) (and (forall @t167 (and true (or @t132 (and true (or @t168 (tptp.delete_terminates @t116 @t3 @t7)))))) true)))) % 54.65/54.87 (assume @p64 (forall @t138 (= (tptp.length_succeeds @t116 @t115) (or (exists @t136 (and @t172 @t171 (tptp.length_succeeds @t4 @t3))) (and @t158 @t169))))) % 54.65/54.87 (assume @p65 (forall @t138 (= (tptp.length_fails @t116 @t115) (and (forall @t136 (or @t174 @t173 (tptp.length_fails @t4 @t3))) (or @t161 (not @t169)))))) % 54.65/54.87 (assume @p66 (forall @t138 (= (tptp.length_terminates @t116 @t115) (and (forall @t136 (and true (or @t174 (and true (or @t173 (tptp.length_terminates @t4 @t3)))))) true @t164)))) % 54.65/54.87 (assume @p67 (forall @t118 (= (tptp.append_succeeds @t116 @t115 @t1) (or (exists @t167 (and @t176 @t166 (tptp.append_succeeds @t3 @t115 @t7))) (and @t158 @t175))))) % 54.65/54.87 (assume @p68 (forall @t118 (= (tptp.append_fails @t116 @t115 @t1) (and (forall @t167 (or @t178 @t168 (tptp.append_fails @t3 @t115 @t7))) (or @t161 @t177))))) % 54.65/54.87 (assume @p69 (forall @t118 (= (tptp.append_terminates @t116 @t115 @t1) (and (forall @t167 (and true (or @t178 (and true (or @t168 (tptp.append_terminates @t3 @t115 @t7)))))) true @t164)))) % 54.65/54.87 (assume @p70 (forall @t138 (= @t117 (or (exists @t181 (and @t160 (tptp.member_succeeds @t116 @t4))) (exists @t180 @t179))))) % 54.65/54.87 (assume @p71 (forall @t138 (= @t119 (and (forall @t181 (or @t163 (tptp.member_fails @t116 @t4))) (forall @t180 (not @t179)))))) % 54.65/54.87 (assume @p72 (forall @t138 (= @t120 (and (forall @t181 (and true (or @t163 (tptp.member_terminates @t116 @t4)))) (forall @t180 true))))) % 54.65/54.87 (assume @p73 (forall @t186 (= (tptp.list_succeeds @t116) (or (exists @t185 (and @t184 @t182)) @t158)))) % 54.65/54.87 (assume @p74 (forall @t186 (= (tptp.list_fails @t116) (and (forall @t185 (or @t187 (tptp.list_fails @t1))) @t161)))) % 54.65/54.87 (assume @p75 (forall @t186 (= (tptp.list_terminates @t116) (and (forall @t185 (and true (or @t187 (tptp.list_terminates @t1)))) true)))) % 54.65/54.87 (assume @p76 (forall @t186 (= (tptp.nat_list_succeeds @t116) (or (exists @t185 (and @t184 @t188 (tptp.nat_list_succeeds @t1))) @t158)))) % 54.65/54.87 (assume @p77 (forall @t186 (= (tptp.nat_list_fails @t116) (and (forall @t185 (or @t187 @t189 (tptp.nat_list_fails @t1))) @t161)))) % 54.65/54.87 (assume @p78 (forall @t186 (= (tptp.nat_list_terminates @t116) (and (forall @t185 (and true (or @t187 (and @t190 (or @t189 (tptp.nat_list_terminates @t1)))))) true)))) % 54.65/54.87 (assume @p79 (forall @t118 (= (tptp.times_succeeds @t116 @t115 @t1) (or (exists @t6 (and @t193 (tptp.times_succeeds @t4 @t115 @t3) (tptp.plus_succeeds @t115 @t3 @t1))) (and @t191 @t121))))) % 54.65/54.87 (assume @p80 (forall @t118 (= (tptp.times_fails @t116 @t115 @t1) (and (forall @t6 (or @t196 @t195 (tptp.plus_fails @t115 @t3 @t1))) (or @t194 @t128))))) % 54.65/54.87 (assume @p81 (forall @t118 (= (tptp.times_terminates @t116 @t115 @t1) (and (forall @t6 (and true (or @t196 (and (tptp.times_terminates @t4 @t115 @t3) (or @t195 (tptp.plus_terminates @t115 @t3 @t1)))))) true @t197)))) % 54.65/54.87 (assume @p82 (forall @t118 (= (tptp.plus_succeeds @t116 @t115 @t1) (or (exists @t6 (and @t193 @t198 (tptp.plus_succeeds @t4 @t115 @t3))) (and @t191 @t175))))) % 54.65/54.87 (assume @p83 (forall @t118 (= (tptp.plus_fails @t116 @t115 @t1) (and (forall @t6 (or @t196 @t199 (tptp.plus_fails @t4 @t115 @t3))) (or @t194 @t177))))) % 54.65/54.87 (assume @p84 (forall @t118 (= (tptp.plus_terminates @t116 @t115 @t1) (and (forall @t6 (and true (or @t196 (and true (or @t199 (tptp.plus_terminates @t4 @t115 @t3)))))) true @t197)))) % 54.65/54.87 (assume @p85 (forall @t138 (= (|tptp.'@=<_succeeds'| @t116 @t115) (or (exists @t181 (and @t201 @t200 (|tptp.'@=<_succeeds'| @t1 @t4))) @t191)))) % 54.65/54.87 (assume @p86 (forall @t138 (= (|tptp.'@=<_fails'| @t116 @t115) (and (forall @t181 (or @t203 @t202 (|tptp.'@=<_fails'| @t1 @t4))) @t194)))) % 54.65/54.87 (assume @p87 (forall @t138 (= (|tptp.'@=<_terminates'| @t116 @t115) (and (forall @t181 (and true (or @t203 (and true (or @t202 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 54.65/54.87 (assume @p88 (forall @t138 (= (|tptp.'@<_succeeds'| @t116 @t115) (or (exists @t181 (and @t201 @t200 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t180 (and @t191 @t171)))))) % 54.65/54.87 (assume @p89 (forall @t138 (= (|tptp.'@<_fails'| @t116 @t115) (and (forall @t181 (or @t203 @t202 (|tptp.'@<_fails'| @t1 @t4))) (forall @t180 (or @t194 @t173)))))) % 54.65/54.87 (assume @p90 (forall @t138 (= (|tptp.'@<_terminates'| @t116 @t115) (and (forall @t181 (and true (or @t203 (and true (or @t202 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t180 (and true @t197)))))) % 54.65/54.87 (assume @p91 (forall @t186 (= @t206 (or (exists @t205 (and @t204 @t188)) @t191)))) % 54.65/54.87 (assume @p92 (forall @t186 (= (tptp.nat_fails @t116) (and (forall @t205 (or @t207 @t189)) @t194)))) % 54.65/54.87 (assume @p93 (forall @t186 (= (tptp.nat_terminates @t116) (and (forall @t205 (and true (or @t207 @t190))) true)))) % 54.65/54.87 (assume @p94 (forall @t210 (=> @t209 (tptp.nat_terminates @t208)))) % 54.65/54.87 (assume @p95 (forall @t210 (=> @t209 @t211))) % 54.65/54.87 (assume @p96 (forall @t215 (=> @t209 @t214))) % 54.65/54.87 (assume @p97 (forall @t215 (=> @t216 @t214))) % 54.65/54.87 (assume @p98 (forall @t215 (=> @t217 @t209))) % 54.65/54.87 (assume @p99 (forall @t215 (=> (and @t217 @t218) @t216))) % 54.65/54.87 (assume @p100 (forall @t215 (=> (and @t217 @t216) @t218))) % 54.65/54.87 (assume @p101 (forall @t215 (=> @t217 @t214))) % 54.65/54.87 (assume @p102 (forall @t215 (=> @t217 @t211))) % 54.65/54.87 (assume @p103 (forall @t215 (=> (and @t217 @t220) @t219))) % 54.65/54.87 (assume @p104 (forall @t215 (=> (and @t217 @t219) @t220))) % 54.65/54.87 (assume @p105 (forall @t222 (=> @t209 (exists @t221 @t217)))) % 54.65/54.87 (assume @p106 (forall @t226 (=> (and (tptp.plus_succeeds @t208 @t213 @t224) (tptp.plus_succeeds @t208 @t213 @t223)) @t225))) % 54.65/54.87 (assume @p107 (forall @t227 (= (|tptp.'@+'| |tptp.'0'| @t213) @t213))) % 54.65/54.87 (assume @p108 (forall @t222 (=> @t209 (= @t230 (tptp.s @t228))))) % 54.65/54.87 (assume @p109 (forall @t222 (=> @t231 (tptp.nat_succeeds @t228)))) % 54.65/54.87 (assume @p110 (forall @t215 (=> @t233 (= (|tptp.'@+'| @t228 @t212) (|tptp.'@+'| @t208 @t232))))) % 54.65/54.87 (assume @p111 (forall @t210 (=> @t209 (= (|tptp.'@+'| @t208 |tptp.'0'|) @t208)))) % 54.65/54.87 (assume @p112 (forall @t222 (=> @t231 (= @t235 @t230)))) % 54.65/54.87 (assume @p113 (forall @t222 (=> @t231 (= @t228 @t236)))) % 54.65/54.87 (assume @p114 (forall @t215 (=> (and @t209 (= @t228 @t237)) (= @t213 @t212)))) % 54.65/54.87 (assume @p115 (forall @t215 (=> @t238 @t209))) % 54.65/54.87 (assume @p116 (forall @t215 (=> (and @t238 @t218) @t216))) % 54.65/54.87 (assume @p117 (forall @t215 (=> @t238 @t211))) % 54.65/54.87 (assume @p118 (forall @t215 (=> (and @t238 @t220) @t219))) % 54.65/54.87 (assume @p119 (forall @t215 (=> @t231 (tptp.times_terminates @t208 @t213 @t212)))) % 54.65/54.87 (assume @p120 (forall @t222 (=> @t231 (exists @t221 @t238)))) % 54.65/54.87 (assume @p121 (forall @t226 (=> (and (tptp.times_succeeds @t208 @t213 @t224) (tptp.times_succeeds @t208 @t213 @t223)) @t225))) % 54.65/54.87 (assume @p122 (forall @t227 (=> @t218 (= (|tptp.'@*'| |tptp.'0'| @t213) |tptp.'0'|)))) % 54.65/54.87 (assume @p123 (forall @t222 (=> @t231 (= @t240 (|tptp.'@+'| @t213 @t239))))) % 54.65/54.87 (assume @p124 (forall @t222 (=> @t231 (tptp.nat_succeeds @t239)))) % 54.65/54.87 (assume @p125 (forall @t215 (=> @t233 (= (|tptp.'@*'| @t228 @t212) (|tptp.'@+'| @t242 @t241))))) % 54.65/54.87 (assume @p126 (forall @t215 (=> @t233 (= (|tptp.'@*'| @t239 @t212) (|tptp.'@*'| @t208 @t241))))) % 54.65/54.87 (assume @p127 (forall @t210 (=> @t209 (= (|tptp.'@*'| @t208 |tptp.'0'|) |tptp.'0'|)))) % 54.65/54.87 (assume @p128 (forall (@list @t213 @t208) (=> (and @t218 @t209) (= (|tptp.'@+'| @t243 @t213) (|tptp.'@*'| @t213 @t229))))) % 54.65/54.87 (assume @p129 (forall @t222 (=> @t231 (= @t239 @t243)))) % 54.65/54.87 (assume @p130 (forall @t210 (=> @t209 (= (|tptp.'@*'| @t244 @t208) @t208)))) % 54.65/54.87 (assume @p131 (forall @t210 (=> @t209 (= (|tptp.'@*'| @t208 @t244) @t208)))) % 54.65/54.87 (assume @p132 (forall @t215 (=> @t233 (= (|tptp.'@*'| @t212 @t228) (|tptp.'@+'| (|tptp.'@*'| @t212 @t208) (|tptp.'@*'| @t212 @t213)))))) % 54.65/54.87 (assume @p133 (forall @t222 (=> @t209 @t245))) % 54.65/54.87 (assume @p134 (forall @t222 (=> @t218 @t245))) % 54.65/54.87 (assume @p135 (forall @t222 (=> @t246 @t209))) % 54.65/54.87 (assume @p136 (forall @t222 (=> @t246 (exists @t221 (= @t213 @t247))))) % 54.65/54.87 (assume @p137 (forall @t215 (=> (and @t246 (|tptp.'@<_succeeds'| @t213 @t247)) @t248))) % 54.65/54.87 (assume @p138 (forall @t222 (=> @t246 @t249))) % 54.65/54.87 (assume @p139 (forall @t215 (=> (and @t246 @t250) @t248))) % 54.65/54.87 (assume @p140 (forall @t210 (=> @t209 (|tptp.'@<_fails'| @t208 @t208)))) % 54.65/54.87 (assume @p141 (forall @t210 (=> @t209 (not (|tptp.'@<_succeeds'| @t208 @t208))))) % 54.65/54.87 (assume @p142 (forall @t210 (=> @t209 (|tptp.'@<_succeeds'| @t208 @t229)))) % 54.65/54.87 (assume @p143 (forall @t222 (=> (and @t218 @t249) @t252))) % 54.65/54.87 (assume @p144 (forall @t222 (=> @t231 (or @t246 @t251 (|tptp.'@<_succeeds'| @t213 @t208))))) % 54.65/54.87 (assume @p145 (forall @t210 (=> (and @t209 @t253) (|tptp.'@<_succeeds'| |tptp.'0'| @t208)))) % 54.65/54.87 (assume @p146 (forall @t222 (=> @t209 (|tptp.'@=<_terminates'| @t208 @t213)))) % 54.65/54.87 (assume @p147 (forall @t222 (=> @t254 @t209))) % 54.65/54.87 (assume @p148 (forall @t222 (=> @t254 (exists @t221 (tptp.plus_succeeds @t208 @t212 @t213))))) % 54.65/54.87 (assume @p149 (forall @t222 (=> @t254 (exists @t221 (= @t237 @t213))))) % 54.65/54.87 (assume @p150 (forall @t222 (=> @t246 (exists @t221 (tptp.plus_succeeds @t208 @t247 @t213))))) % 54.65/54.87 (assume @p151 (forall @t222 (=> @t246 (exists @t221 (= (|tptp.'@+'| @t208 @t247) @t213))))) % 54.65/54.87 (assume @p152 (forall @t222 (=> @t246 @t254))) % 54.65/54.87 (assume @p153 (forall @t210 (=> @t209 (|tptp.'@=<_succeeds'| @t208 @t208)))) % 54.65/54.87 (assume @p154 (forall @t222 (=> @t231 (or @t254 @t255)))) % 54.65/54.87 (assume @p155 (forall @t222 (=> @t231 (or @t246 @t255)))) % 54.65/54.87 (assume @p156 (forall @t222 (=> (and @t209 @t218 (|tptp.'@=<_fails'| @t208 @t213)) @t255))) % 54.65/54.87 (assume @p157 (forall @t222 (=> (and @t254 @t218) @t252))) % 54.65/54.87 (assume @p158 (forall @t215 (=> (and @t254 @t250) @t248))) % 54.65/54.87 (assume @p159 (forall @t215 (=> (and @t246 @t256) @t248))) % 54.65/54.87 (assume @p160 (forall @t215 (=> (and @t254 @t256) (|tptp.'@=<_succeeds'| @t208 @t212)))) % 54.65/54.87 (assume @p161 (forall @t222 (=> (and @t254 @t255) @t251))) % 54.65/54.87 (assume @p162 (forall @t210 (=> @t209 (|tptp.'@=<_succeeds'| @t208 @t229)))) % 54.65/54.87 (assume @p163 (forall @t210 (=> @t209 (|tptp.'@=<_fails'| @t229 @t208)))) % 54.65/54.87 (assume @p164 (forall @t215 (=> (and @t209 @t250) @t257))) % 54.65/54.87 (assume @p165 (forall @t222 (=> @t209 (|tptp.'@<_succeeds'| @t208 @t235)))) % 54.65/54.87 (assume @p166 (forall @t215 (=> (and @t246 @t218 @t216) @t258))) % 54.65/54.87 (assume @p167 (forall @t222 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t213) @t209 @t218) (|tptp.'@<_succeeds'| @t208 @t236)))) % 54.65/54.87 (assume @p168 (forall @t215 (=> (and @t209 @t256) @t259))) % 54.65/54.87 (assume @p169 (forall @t215 (=> @t260 (|tptp.'@=<_succeeds'| @t237 @t232)))) % 54.65/54.87 (assume @p170 (forall @t222 (=> @t209 (|tptp.'@=<_succeeds'| @t208 @t228)))) % 54.65/54.87 (assume @p171 (forall @t222 (=> @t231 (|tptp.'@=<_succeeds'| @t213 @t228)))) % 54.65/54.87 (assume @p172 (forall @t215 (=> (and @t209 @t257) @t250))) % 54.65/54.87 (assume @p173 (forall @t215 (=> (and @t209 @t218 @t216 @t258) @t246))) % 54.65/54.87 (assume @p174 (forall @t215 (=> (and @t209 @t259) @t256))) % 54.65/54.87 (assume @p175 (forall @t268 (=> (and @t267 @t266 @t265) (|tptp.'@=<_succeeds'| @t264 @t263)))) % 54.65/54.87 (assume @p176 (forall @t268 (=> (and @t270 @t266 @t265) @t269))) % 54.65/54.87 (assume @p177 (forall @t268 (=> (and @t267 @t271 @t265) @t269))) % 54.65/54.87 (assume @p178 (forall @t268 (=> (and @t270 @t271 @t265) @t269))) % 54.65/54.87 (assume @p179 (forall @t215 (=> (and @t209 @t256 @t216) (|tptp.'@=<_succeeds'| @t239 @t242)))) % 54.65/54.87 (assume @p180 (forall @t215 (=> @t260 (|tptp.'@=<_succeeds'| @t242 @t241)))) % 54.65/54.87 (assume @p181 (forall @t215 (=> (and @t209 @t253 @t250 @t216) (|tptp.'@<_succeeds'| @t239 @t242)))) % 54.65/54.87 (assume @p182 (forall @t215 (=> (and @t209 @t218 @t216 (|tptp.'@=<_succeeds'| @t240 (|tptp.'@*'| @t229 @t212))) @t256))) % 54.65/54.87 (assume @p183 (forall (@list @t116 @t115 @t213) (=> (and @t206 @t188 @t218 (= (|tptp.'@+'| @t116 @t213) (|tptp.'@+'| @t115 @t213))) (= @t116 @t115)))) % 54.65/54.87 (assume @p184 (forall @t210 (tptp.list_succeeds (tptp.cons @t208 tptp.nil)))) % 54.65/54.87 (assume @p185 (forall @t222 (tptp.list_succeeds (tptp.cons @t208 (tptp.cons @t213 tptp.nil))))) % 54.65/54.87 (assume @p186 (forall @t215 (tptp.list_succeeds (tptp.cons @t208 (tptp.cons @t213 (tptp.cons @t212 tptp.nil)))))) % 54.65/54.87 (assume @p187 (forall @t275 (=> (tptp.list_succeeds @t274) @t273))) % 54.65/54.87 (assume @p188 (forall @t276 (=> @t273 (tptp.list_terminates @t272)))) % 54.65/54.87 (assume @p189 (forall @t275 (=> @t273 (tptp.member_terminates @t208 @t272)))) % 54.65/54.87 (assume @p190 (forall @t275 (=> @t273 (or @t277 (tptp.member_fails @t208 @t272))))) % 54.65/54.87 (assume @p191 (forall @t275 (=> (and @t277 @t278) @t211))) % 54.65/54.87 (assume @p192 (forall (@list @t208 @t213 @t212 @t272) (=> (and (tptp.member_succeeds @t208 (tptp.cons @t213 @t272)) @t279) @t277))) % 54.65/54.87 (assume @p193 (forall @t285 (=> @t284 @t281))) % 54.65/54.87 (assume @p194 (forall @t285 (=> (and @t284 @t287) @t286))) % 54.65/54.87 (assume @p195 (forall @t285 (=> @t288 @t287))) % 54.65/54.87 (assume @p196 (forall @t285 (=> @t288 @t289))) % 54.65/54.87 (assume @p197 (forall @t285 (=> @t281 @t290))) % 54.65/54.87 (assume @p198 (forall @t285 (=> @t286 @t290))) % 54.65/54.87 (assume @p199 (forall @t285 (=> (and @t284 @t293 @t292) @t291))) % 54.65/54.87 (assume @p200 (forall @t285 (=> (and @t284 @t291) @t294))) % 54.65/54.87 (assume @p201 (forall @t295 (=> @t281 (exists (@list @t282) @t284)))) % 54.65/54.87 (assume @p202 (forall @t297 (=> (and @t284 (tptp.append_succeeds @t280 @t283 @t296)) (= @t282 @t296)))) % 54.65/54.87 (assume @p203 (forall @t276 (= (|tptp.'**'| tptp.nil @t272) @t272))) % 54.65/54.87 (assume @p204 (forall @t300 (=> @t281 (= (|tptp.'**'| @t299 @t283) (tptp.cons @t208 @t298))))) % 54.65/54.87 (assume @p205 (forall @t295 (=> @t289 @t301))) % 54.65/54.87 (assume @p206 (forall @t295 (=> (and @t281 @t301) @t287))) % 54.65/54.87 (assume @p207 (forall @t295 (=> (and @t281 @t293 @t292) @t302))) % 54.65/54.87 (assume @p208 (forall @t295 (=> (and @t281 @t302) @t294))) % 54.65/54.87 (assume @p209 (forall @t285 (=> @t289 (= (|tptp.'**'| @t298 @t282) (|tptp.'**'| @t280 @t303))))) % 54.65/54.87 (assume @p210 (forall @t276 (=> @t273 (= (|tptp.'**'| @t272 tptp.nil) @t272)))) % 54.65/54.87 (assume @p211 (forall @t307 (=> @t306 (and @t273 @t305)))) % 54.65/54.87 (assume @p212 (forall @t307 (=> @t273 (tptp.length_terminates @t272 @t304)))) % 54.65/54.87 (assume @p213 (forall @t307 (=> @t306 @t308))) % 54.65/54.87 (assume @p214 (forall @t276 (=> @t273 (exists (@list @t304) @t306)))) % 54.65/54.87 (assume @p215 (forall (@list @t272 @t309 @t304) (=> (and (tptp.length_succeeds @t272 @t309) @t306) (= @t309 @t304)))) % 54.65/54.87 (assume @p216 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 54.65/54.87 (assume @p217 (forall @t275 (=> @t273 (= @t311 (tptp.s @t310))))) % 54.65/54.87 (assume @p218 (forall @t276 (=> @t273 (tptp.nat_succeeds @t310)))) % 54.65/54.87 (assume @p219 (forall @t276 (=> (and @t273 (= @t310 |tptp.'0'|)) (= @t272 tptp.nil)))) % 54.65/54.87 (assume @p220 (forall (@list @t304 @t280) (=> (and @t281 (= @t314 @t313)) (exists (@list @t208 @t283) (= @t280 @t312))))) % 54.65/54.87 (assume @p221 (forall @t295 (=> @t289 (= @t317 @t316)))) % 54.65/54.87 (assume @p222 (forall @t295 (=> @t289 (|tptp.'@=<_succeeds'| @t314 @t317)))) % 54.65/54.87 (assume @p223 (forall @t295 (=> @t289 (|tptp.'@=<_succeeds'| @t315 @t317)))) % 54.65/54.87 (assume @p224 (forall @t275 (=> @t273 (|tptp.'@=<_succeeds'| @t310 @t311)))) % 54.65/54.87 (assume @p225 (forall @t285 (=> @t288 (= @t316 @t318)))) % 54.65/54.87 (assume @p226 (forall @t285 (=> @t288 (|tptp.'@=<_succeeds'| @t314 @t318)))) % 54.65/54.87 (assume @p227 (forall @t285 (=> @t288 (|tptp.'@=<_succeeds'| @t315 @t318)))) % 54.65/54.87 (assume @p228 (forall (@list @t208 @t319) (tptp.sub @t319 @t320))) % 54.65/54.87 (assume @p229 (forall @t276 (tptp.sub @t272 @t272))) % 54.65/54.87 (assume @p230 (forall (@list @t319 @t322 @t321) (=> (and @t323 (tptp.sub @t322 @t321)) (tptp.sub @t319 @t321)))) % 54.65/54.87 (assume @p231 (forall @t276 (tptp.sub tptp.nil @t272))) % 54.65/54.87 (assume @p232 (forall @t324 (=> (and @t323 (tptp.member_succeeds @t208 @t322)) (tptp.sub @t320 @t322)))) % 54.65/54.87 (assume @p233 (forall @t324 (=> @t323 (tptp.sub @t320 (tptp.cons @t208 @t322))))) % 54.65/54.87 (assume @p234 (forall (@list @t208 @t282) (=> @t326 (exists @t295 @t325)))) % 54.65/54.87 (assume @p235 (forall @t328 (=> (and @t284 @t327) @t326))) % 54.65/54.87 (assume @p236 (forall @t328 (=> (and @t284 @t329) @t326))) % 54.65/54.87 (assume @p237 (forall @t300 (=> (and @t327 @t281) @t330))) % 54.65/54.87 (assume @p238 (forall @t300 (=> (and @t329 @t281) @t330))) % 54.65/54.87 (assume @p239 (forall @t328 (=> @t325 @t326))) % 54.65/54.87 (assume @p240 (forall @t328 (=> (and @t284 @t326) @t331))) % 54.65/54.87 (assume @p241 (forall @t300 (=> (and @t281 @t330) @t331))) % 54.65/54.87 (assume @p242 (forall @t295 (=> @t281 (tptp.sub @t280 @t298)))) % 54.65/54.87 (assume @p243 (forall @t295 (=> @t281 (tptp.sub @t283 @t298)))) % 54.65/54.87 (assume @p244 (forall @t328 (=> @t288 (not (= @t283 (tptp.cons @t208 @t282)))))) % 54.65/54.87 (assume @p245 (forall @t295 (=> (and (tptp.append_succeeds @t280 @t283 @t283) @t287) @t332))) % 54.65/54.87 (assume @p246 (forall @t297 (=> (and @t284 (tptp.append_succeeds @t296 @t283 @t282) @t286) (= @t280 @t296)))) % 54.65/54.87 (assume @p247 (forall @t285 (=> (and @t281 @t287 @t286 (= (|tptp.'**'| @t280 @t282) @t303)) (= @t280 @t283)))) % 54.65/54.87 (assume @p248 (forall @t297 (=> (and @t284 (tptp.append_succeeds @t280 @t296 @t282)) (= @t283 @t296)))) % 54.65/54.87 (assume @p249 (forall @t276 (=> @t333 @t273))) % 54.65/54.87 (assume @p250 (forall @t276 (=> @t333 (tptp.nat_list_terminates @t272)))) % 54.65/54.87 (assume @p251 (forall @t210 (=> (tptp.nat_list_succeeds @t208) @t211))) % 54.65/54.87 (assume @p252 (forall (@list @t208 @t280 @t283 @t304) (=> (and @t281 @t287 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t299) @t315) @t313)) @t334))) % 54.65/54.87 (assume @p253 (forall (@list @t280 @t213 @t283 @t304) (=> (and @t281 @t287 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t314 (tptp.lh (tptp.cons @t213 @t283))) @t313)) @t334))) % 54.65/54.87 (assume @p254 (forall @t300 (=> @t281 @t335))) % 54.65/54.87 (assume @p255 (forall @t300 (=> @t287 @t335))) % 54.65/54.87 (assume @p256 (forall @t300 (=> @t337 @t287))) % 54.65/54.87 (assume @p257 (forall @t300 (=> (and @t336 @t287) @t281))) % 54.65/54.87 (assume @p258 (forall @t300 (=> @t337 (= @t314 (tptp.s @t315))))) % 54.65/54.87 (assume @p259 (forall @t300 (=> @t281 (tptp.delete_succeeds @t208 (|tptp.'**'| @t280 @t312) @t298)))) % 54.65/54.87 (assume @p260 (forall @t300 (=> @t336 (exists (@list @t282 @t296) (and @t286 (= @t280 (|tptp.'**'| @t282 (tptp.cons @t208 @t296))) (= @t283 (|tptp.'**'| @t282 @t296))))))) % 54.65/54.87 (assume @p261 (forall @t300 (=> (and @t336 (tptp.nat_list_succeeds @t280)) (and @t209 (tptp.nat_list_succeeds @t283))))) % 54.65/54.87 (assume @p262 (forall @t300 (=> (and @t336 @t293) (and @t211 @t292)))) % 54.65/54.87 (assume @p263 (forall @t340 (=> (and @t336 @t339) (or @t338 (= @t213 @t208))))) % 54.65/54.87 (assume @p264 (forall @t300 (=> @t336 @t327))) % 54.65/54.87 (assume @p265 (forall @t340 (=> (and @t336 @t338) @t339))) % 54.65/54.87 (assume @p266 (forall (@list @t208 @t280) (=> @t327 (exists @t341 @t336)))) % 54.65/54.87 (assume @p267 (forall @t340 (=> (and @t336 @t339 @t279) @t338))) % 54.65/54.87 (assume @p268 (forall @t215 (=> @t209 (= (= @t228 @t212) @t217)))) % 54.65/54.87 (assume @p269 (forall @t215 (=> @t231 (= (= @t239 @t212) @t238)))) % 54.65/54.87 (assume @p270 (forall @t285 (=> @t281 (= (= @t298 @t282) @t284)))) % 54.65/54.87 (assume @p271 (forall @t307 (=> @t273 (= (= @t310 @t304) @t306)))) % 54.65/54.87 (assume @p272 (forall @t295 (= (tptp.sub @t280 @t283) (forall @t210 (=> @t327 @t329))))) % 54.65/54.87 (assume @p273 (forall (@list @t208 @t272 @t309) (=> @t273 (= (= (tptp.occ @t208 @t272) @t309) (tptp.occ_succeeds @t208 @t272 @t309))))) % 54.65/54.87 (assume @p274 (forall @t295 (=> (tptp.permutation_succeeds @t280 @t283) @t289))) % 54.65/54.87 (assume @p275 (forall (@list @t304 @t280 @t283) (=> (and @t305 @t281 (= @t314 @t304)) @t342))) % 54.65/54.87 (assume @p276 (forall @t295 (=> @t281 @t342))) % 54.65/54.87 (assume @p277 @t344) % 54.65/54.87 (assume @p278 @t348) % 54.65/54.87 (assume @p279 @t351) % 54.65/54.87 (assume @p280 @t353) % 54.65/54.87 (assume @p281 (=> (forall @t356 (=> (or (exists @t185 (and (= @t280 @t183) @t182 (forall @t341 (=> (and @t292 (tptp.gr @t1) @t287) (tptp.not_same_occ_terminates @t1 @t283))))) @t332) @t355)) (forall @t356 (=> @t281 @t355)))) % 54.65/54.87 (assume @p282 @t359) % 54.65/54.87 (assume @p283 true) % 54.65/54.87 (step @p284 :rule bool-impl-elim :args (@t352 @t308)) % 54.65/54.87 (step @p285 :rule cong :premises (@p284) :args (@t353)) % 54.65/54.87 (step @p286 :rule eq_resolve :premises (@p280 @p285)) % 54.65/54.87 (step @p287 :rule aci_norm :args ((= (or @t360 @t41) (or @t360 @t39 @t38)))) % 54.65/54.87 (step @p288 :rule bool-impl-elim :args (@t42 @t41)) % 54.65/54.87 (step @p289 :rule trans :premises (@p288 @p287)) % 54.65/54.87 (step @p290 :rule cong :premises (@p289) :args (@t43)) % 54.65/54.87 (step @p291 :rule eq_resolve :premises (@p17 @p290)) % 54.65/54.87 (step @p292 :rule instantiate :premises (@p291) :args (@t375)) % 54.65/54.87 (step @p293 :rule aci_norm :args ((= (or @t379 @t345) (or @t378 @t377 @t376 @t345)))) % 54.65/54.87 (step @p294 :rule refl :args (@t345)) % 54.65/54.87 (step @p295 :rule aci_norm :args ((= (or @t378 (or @t377 @t376)) @t379))) % 54.65/54.87 (step @p296 :rule bool-and-de-morgan :args (@t278 @t211 true)) % 54.65/54.87 (step @p297 :rule refl :args (@t378)) % 54.65/54.87 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or @t378 (not (and @t278 @t211))))) % 54.65/54.87 (step @p299 :rule bool-and-de-morgan :args (@t273 @t278 (and @t211))) % 54.65/54.87 (step @p300 :rule trans :premises (@p299 @p298)) % 54.65/54.87 (step @p301 :rule trans :premises (@p300 @p295)) % 54.65/54.87 (step @p302 :rule nary_cong :premises (@p301 @p294) :args ((or (not @t346) @t345))) % 54.65/54.87 (step @p303 :rule trans :premises (@p302 @p293)) % 54.65/54.87 (step @p304 :rule bool-impl-elim :args (@t346 @t345)) % 54.65/54.87 (step @p305 :rule trans :premises (@p304 @p303)) % 54.65/54.87 (step @p306 :rule cong :premises (@p305) :args (@t348)) % 54.65/54.87 (step @p307 :rule eq_resolve :premises (@p278 @p306)) % 54.65/54.87 (step @p308 :rule instantiate :premises (@p307) :args (@t375)) % 54.65/54.87 (step @p309 :rule aci_norm :args ((= (or @t382 @t211) (or @t381 @t365 @t380 @t211)))) % 54.65/54.87 (step @p310 :rule refl :args (@t211)) % 54.65/54.87 (step @p311 :rule aci_norm :args ((= (or @t381 @t383) @t382))) % 54.65/54.87 (step @p312 :rule bool-and-de-morgan :args (@t293 @t292 true)) % 54.65/54.87 (step @p313 :rule refl :args (@t381)) % 54.65/54.87 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t381 @t384))) % 54.65/54.87 (step @p315 :rule bool-and-de-morgan :args (@t349 @t293 (and @t292))) % 54.65/54.87 (step @p316 :rule trans :premises (@p315 @p314)) % 54.65/54.87 (step @p317 :rule trans :premises (@p316 @p311)) % 54.65/54.87 (step @p318 :rule nary_cong :premises (@p317 @p310) :args ((or (not @t350) @t211))) % 54.65/54.87 (step @p319 :rule trans :premises (@p318 @p309)) % 54.65/54.87 (step @p320 :rule bool-impl-elim :args (@t350 @t211)) % 54.65/54.87 (step @p321 :rule trans :premises (@p320 @p319)) % 54.65/54.87 (step @p322 :rule cong :premises (@p321) :args (@t351)) % 54.65/54.87 (step @p323 :rule eq_resolve :premises (@p279 @p322)) % 54.65/54.87 (step @p324 :rule instantiate :premises (@p323) :args (@t385)) % 54.65/54.87 (step @p325 :rule aci_norm :args ((= (or @t386 @t32) (or @t386 @t30 @t29)))) % 54.65/54.87 (step @p326 :rule bool-impl-elim :args (@t33 @t32)) % 54.65/54.87 (step @p327 :rule trans :premises (@p326 @p325)) % 54.65/54.87 (step @p328 :rule cong :premises (@p327) :args (@t34)) % 54.65/54.87 (step @p329 :rule eq_resolve :premises (@p15 @p328)) % 54.65/54.87 (step @p330 :rule instantiate :premises (@p329) :args (@t385)) % 54.65/54.87 (step @p331 :rule aci_norm :args ((= (or (or @t366 @t387) @t343) (or @t366 @t387 @t343)))) % 54.65/54.87 (step @p332 :rule refl :args (@t343)) % 54.65/54.87 (step @p333 :rule bool-and-de-morgan :args (@t281 @t287 true)) % 54.65/54.87 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or (not @t289) @t343))) % 54.65/54.87 (step @p335 :rule trans :premises (@p334 @p331)) % 54.65/54.87 (step @p336 :rule bool-impl-elim :args (@t289 @t343)) % 54.65/54.87 (step @p337 :rule trans :premises (@p336 @p335)) % 54.65/54.87 (step @p338 :rule cong :premises (@p337) :args (@t344)) % 54.65/54.87 (step @p339 :rule eq_resolve :premises (@p277 @p338)) % 54.65/54.87 (step @p340 :rule instantiate :premises (@p339) :args (@t385)) % 54.65/54.87 (step @p341 :rule aci_norm :args ((= (or @t389 @t354) @t388))) % 54.65/54.87 (step @p342 :rule refl :args (@t354)) % 54.65/54.87 (step @p343 :rule aci_norm :args ((= (or @t366 (or @t387 @t383)) @t389))) % 54.65/54.87 (step @p344 :rule refl :args (@t387)) % 54.65/54.87 (step @p345 :rule nary_cong :premises (@p344 @p312) :args ((or @t387 @t384))) % 54.65/54.87 (step @p346 :rule bool-and-de-morgan :args (@t287 @t293 (and @t292))) % 54.65/54.87 (step @p347 :rule trans :premises (@p346 @p345)) % 54.65/54.87 (step @p348 :rule refl :args (@t366)) % 54.65/54.87 (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((or @t366 (not (and @t287 @t293 @t292))))) % 54.65/54.87 (step @p350 :rule bool-and-de-morgan :args (@t281 @t287 (and @t293 @t292))) % 54.65/54.87 (step @p351 :rule trans :premises (@p350 @p349)) % 54.65/54.87 (step @p352 :rule trans :premises (@p351 @p343)) % 54.65/54.87 (step @p353 :rule nary_cong :premises (@p352 @p342) :args ((or (not @t357) @t354))) % 54.65/54.87 (step @p354 :rule trans :premises (@p353 @p341)) % 54.65/54.87 (step @p355 :rule bool-impl-elim :args (@t357 @t354)) % 54.65/54.87 (step @p356 :rule trans :premises (@p355 @p354)) % 54.65/54.87 (step @p357 :rule cong :premises (@p356) :args (@t358)) % 54.65/54.87 (step @p358 :rule cong :premises (@p357) :args (@t359)) % 54.65/54.87 (step @p359 :rule eq_resolve :premises (@p282 @p358)) % 54.65/54.87 (step @p360 :rule aci_norm :args ((= @t388 @t390))) % 54.65/54.87 (step @p361 :rule cong :premises (@p360) :args (@t391)) % 54.65/54.87 (step @p362 :rule symm :premises (@p361)) % 54.65/54.87 (step @p363 :rule true_intro :premises (@p362)) % 54.65/54.87 (step @p364 :rule eq-symm :args (@t391 @t392)) % 54.65/54.87 (step @p365 :rule trans :premises (@p364 @p363)) % 54.65/54.87 (step @p366 :rule cong :premises (@p362 @p361) :args ((= @t392 @t391))) % 54.65/54.87 (step @p367 :rule trans :premises (@p366 @p365)) % 54.65/54.87 (step @p368 :rule true_elim :premises (@p367)) % 54.65/54.87 (step @p369 :rule alpha_equiv :args ((forall (@list @t394 @t393) (or (not (tptp.list_succeeds @t394)) (not (tptp.gr @t394)) (not (tptp.gr @t393)) (not (tptp.list_succeeds @t393)) (tptp.not_same_occ_terminates @t394 @t393))) @t395 (@list @t280 @t283))) % 54.65/54.87 (step @p370 :rule alpha_equiv :args (@t367 (@list @t280 @t364) @t395)) % 54.65/54.87 (step @p371 :rule trans :premises (@p370 @p369 @p368)) % 54.65/54.87 (step @p372 :rule equiv_elim1 :premises (@p371)) % 54.65/54.87 (step @p373 :rule reordering :premises (@p372) :args ((or @t391 @t396))) % 54.65/54.87 (step @p374 :rule chain_m_resolution :premises (@p373 @p359) :args (@t396 @t397 (@list @t391))) % 54.65/54.87 (step @p375 :rule skolemize :premises (@p374)) % 54.65/54.87 (step @p376 :rule bool-double-not-elim :args (@t398)) % 54.65/54.87 (step @p377 :rule refl :args (@t407)) % 54.65/54.87 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or @t407 (not @t400)))) % 54.65/54.87 (step @p379 :rule cnf_or_neg :args (@t407 3)) % 54.65/54.87 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 54.65/54.87 (step @p381 :rule reordering :premises (@p380) :args ((or @t398 @t407))) % 54.65/54.87 (step @p382 :rule chain_m_resolution :premises (@p381 @p375) :args (@t398 @t397 @t408)) % 54.65/54.87 (step @p383 :rule bool-double-not-elim :args (@t405)) % 54.65/54.87 (step @p384 :rule nary_cong :premises (@p377 @p383) :args ((or @t407 (not @t406)))) % 54.65/54.87 (step @p385 :rule cnf_or_neg :args (@t407 0)) % 54.65/54.87 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 54.65/54.87 (step @p387 :rule reordering :premises (@p386) :args ((or @t405 @t407))) % 54.65/54.87 (step @p388 :rule chain_m_resolution :premises (@p387 @p375) :args (@t405 @t397 @t408)) % 54.65/54.87 (step @p389 :rule cnf_or_pos :args (@t410)) % 54.65/54.87 (step @p390 :rule reordering :premises (@p389) :args ((or @t406 @t400 @t409 (not @t410)))) % 54.65/54.87 (step @p391 :rule chain_m_resolution :premises (@p390 @p388 @p382 @p340) :args (@t409 @t411 (@list @t405 @t398 @t410))) % 54.65/54.87 (step @p392 :rule instantiate :premises (@p339) :args ((@list @t415 @t370 @t368))) % 54.65/54.87 (step @p393 :rule cnf_or_pos :args (@t417)) % 54.65/54.87 (step @p394 :rule reordering :premises (@p393) :args ((or @t406 @t400 @t416 (not @t417)))) % 54.65/54.87 (step @p395 :rule chain_m_resolution :premises (@p394 @p388 @p382 @p392) :args (@t416 @t411 (@list @t405 @t398 @t417))) % 54.65/54.87 (step @p396 :rule refl :args (@t418)) % 54.65/54.87 (step @p397 :rule bool-double-not-elim :args (@t414)) % 54.65/54.87 (step @p398 :rule nary_cong :premises (@p397 @p396) :args ((or (not @t419) @t418))) % 54.65/54.87 (assume-push @p515 @t419) % 54.65/54.87 (step @p400 :rule skolemize :premises (@p515)) % 54.65/54.87 (step-pop @p516 :rule scope :premises (@p400)) % 54.65/54.87 (step @p401 :rule process_scope :premises (@p516) :args (@t418)) % 54.65/54.87 (step @p403 :rule implies_elim :premises (@p401)) % 54.65/54.87 (step @p404 :rule eq_resolve :premises (@p403 @p398)) % 54.65/54.87 (step @p405 :rule chain_m_resolution :premises (@p404 @p395) :args (@t414 (@list false) (@list @t416))) % 54.65/54.87 (step @p406 :rule refl :args (@t420)) % 54.65/54.87 (step @p407 :rule quant-unused-vars :args ((= @t424 (forall @t413 @t421)))) % 54.65/54.87 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((and @t424 @t420))) % 54.65/54.87 (step @p409 :rule alpha_equiv :args (@t427 @t428 (@list @t369 @t362 @t361))) % 54.65/54.87 (step @p410 :rule alpha_equiv :args (@t429 @t428 (@list @t412 @t423 @t422))) % 54.65/54.87 (step @p411 :rule nary_cong :premises (@p410 @p409) :args (@t430)) % 54.65/54.87 (step @p412 :rule quant-miniscope-and :args ((= (forall @t136 (and @t152 @t426)) @t430))) % 54.65/54.87 (step @p413 :rule trans :premises (@p412 @p411)) % 54.65/54.87 (step @p414 :rule trans :premises (@p413 @p408)) % 54.65/54.87 (step @p415 :rule aci_norm :args ((= @t144 @t425))) % 54.65/54.87 (step @p416 :rule refl :args (@t139)) % 54.65/54.87 (step @p417 :rule nary_cong :premises (@p416 @p415) :args (@t145)) % 54.65/54.87 (step @p418 :rule refl :args (@t146)) % 54.65/54.87 (step @p419 :rule nary_cong :premises (@p418 @p417) :args (@t147)) % 54.65/54.87 (step @p420 :rule refl :args (@t140)) % 54.65/54.87 (step @p421 :rule nary_cong :premises (@p420 @p419) :args (@t148)) % 54.65/54.87 (step @p422 :rule refl :args (@t149)) % 54.65/54.87 (step @p423 :rule nary_cong :premises (@p422 @p421) :args (@t150)) % 54.65/54.87 (step @p424 :rule refl :args (@t141)) % 54.65/54.87 (step @p425 :rule nary_cong :premises (@p424 @p423) :args (@t151)) % 54.65/54.87 (step @p426 :rule refl :args (@t152)) % 54.65/54.87 (step @p427 :rule nary_cong :premises (@p426 @p425) :args (@t153)) % 54.65/54.87 (step @p428 :rule cong :premises (@p427) :args (@t154)) % 54.65/54.87 (step @p429 :rule trans :premises (@p428 @p414)) % 54.65/54.87 (step @p430 :rule refl :args (@t155)) % 54.65/54.87 (step @p431 :rule cong :premises (@p430 @p429) :args (@t156)) % 54.65/54.87 (step @p432 :rule cong :premises (@p431) :args (@t157)) % 54.65/54.87 (step @p433 :rule eq_resolve :premises (@p54 @p432)) % 54.65/54.87 (step @p434 :rule instantiate :premises (@p433) :args ((@list @t370 @t368))) % 54.65/54.87 (step @p435 :rule cnf_or_neg :args (@t407 4)) % 54.65/54.87 (step @p436 :rule chain_m_resolution :premises (@p435 @p375) :args ((not @t399) @t397 @t408)) % 54.65/54.87 (step @p437 :rule cnf_equiv_pos2 :args (@t432)) % 54.65/54.87 (step @p438 :rule reordering :premises (@p437) :args ((or @t399 @t433 (not @t432)))) % 54.65/54.87 (step @p439 :rule chain_m_resolution :premises (@p438 @p436 @p434) :args (@t433 @t434 (@list @t399 @t432))) % 54.65/54.87 (step @p440 :rule cnf_and_neg :args (@t431)) % 54.65/54.87 (step @p441 :rule chain_m_resolution :premises (@p440 @p439 @p405) :args (@t435 @t434 (@list @t431 @t414))) % 54.65/54.87 (step @p442 :rule refl :args (@t450)) % 54.65/54.87 (step @p443 :rule bool-double-not-elim :args (@t372)) % 54.65/54.87 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or (not @t435) @t450))) % 54.65/54.87 (assume-push @p517 @t435) % 54.65/54.87 (step @p446 :rule skolemize :premises (@p517)) % 54.65/54.87 (step-pop @p518 :rule scope :premises (@p446)) % 54.65/54.87 (step @p447 :rule process_scope :premises (@p518) :args (@t450)) % 54.65/54.87 (step @p449 :rule implies_elim :premises (@p447)) % 54.65/54.87 (step @p450 :rule eq_resolve :premises (@p449 @p444)) % 54.65/54.87 (step @p451 :rule chain_m_resolution :premises (@p450 @p441) :args (@t450 @t397 (@list @t372))) % 54.65/54.87 (step @p452 :rule cnf_or_neg :args (@t449 0)) % 54.65/54.87 (step @p453 :rule chain_m_resolution :premises (@p452 @p451) :args ((not @t448) @t397 @t451)) % 54.65/54.87 (step @p454 :rule cnf_or_pos :args (@t454)) % 54.65/54.87 (step @p455 :rule reordering :premises (@p454) :args ((or @t448 @t453 @t452 (not @t454)))) % 54.65/54.87 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p391 @p330) :args (@t452 @t455 (@list @t448 @t409 @t454))) % 54.65/54.87 (step @p457 :rule bool-double-not-elim :args (@t401)) % 54.65/54.87 (step @p458 :rule nary_cong :premises (@p377 @p457) :args ((or @t407 (not @t402)))) % 54.65/54.87 (step @p459 :rule cnf_or_neg :args (@t407 2)) % 54.65/54.87 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 54.65/54.87 (step @p461 :rule reordering :premises (@p460) :args ((or @t401 @t407))) % 54.65/54.87 (step @p462 :rule chain_m_resolution :premises (@p461 @p375) :args (@t401 @t397 @t408)) % 54.65/54.87 (step @p463 :rule bool-double-not-elim :args (@t403)) % 54.65/54.87 (step @p464 :rule nary_cong :premises (@p377 @p463) :args ((or @t407 (not @t404)))) % 54.65/54.87 (step @p465 :rule cnf_or_neg :args (@t407 1)) % 54.65/54.87 (step @p466 :rule eq_resolve :premises (@p465 @p464)) % 54.65/54.87 (step @p467 :rule reordering :premises (@p466) :args ((or @t403 @t407))) % 54.65/54.87 (step @p468 :rule chain_m_resolution :premises (@p467 @p375) :args (@t403 @t397 @t408)) % 54.65/54.87 (step @p469 :rule cnf_or_pos :args (@t458)) % 54.65/54.87 (step @p470 :rule reordering :premises (@p469) :args ((or @t404 @t402 @t456 @t457 (not @t458)))) % 54.65/54.87 (step @p471 :rule chain_m_resolution :premises (@p470 @p468 @p462 @p456 @p324) :args (@t456 @t459 (@list @t403 @t401 @t452 @t458))) % 54.65/54.87 (step @p472 :rule cnf_or_pos :args (@t461)) % 54.65/54.87 (step @p473 :rule reordering :premises (@p472) :args ((or @t402 @t400 @t442 @t460 (not @t461)))) % 54.65/54.88 (step @p474 :rule chain_m_resolution :premises (@p473 @p462 @p382 @p471 @p308) :args (@t442 @t459 (@list @t401 @t398 @t456 @t461))) % 54.65/54.88 (step @p475 :rule instantiate :premises (@p307) :args (@t462)) % 54.65/54.88 (step @p476 :rule cnf_or_pos :args (@t463)) % 54.65/54.88 (step @p477 :rule reordering :premises (@p476) :args ((or @t406 @t404 @t446 @t460 (not @t463)))) % 54.65/54.88 (step @p478 :rule chain_m_resolution :premises (@p477 @p388 @p468 @p471 @p475) :args (@t446 @t459 (@list @t405 @t403 @t456 @t463))) % 54.65/54.88 (step @p479 :rule cnf_or_neg :args (@t449 1)) % 54.65/54.88 (step @p480 :rule chain_m_resolution :premises (@p479 @p451) :args ((not @t447) @t397 @t451)) % 54.65/54.88 (step @p481 :rule cnf_and_neg :args (@t447)) % 54.65/54.88 (step @p482 :rule chain_m_resolution :premises (@p481 @p480 @p478) :args ((not @t445) @t434 (@list @t447 @t446))) % 54.65/54.88 (step @p483 :rule cnf_or_neg :args (@t445 1)) % 54.65/54.88 (step @p484 :rule chain_m_resolution :premises (@p483 @p482) :args ((not @t443) @t397 @t464)) % 54.65/54.88 (step @p485 :rule cnf_and_neg :args (@t443)) % 54.65/54.88 (step @p486 :rule chain_m_resolution :premises (@p485 @p484 @p474) :args ((not @t441) @t434 (@list @t443 @t442))) % 54.65/54.88 (step @p487 :rule cnf_or_neg :args (@t441 0)) % 54.65/54.88 (step @p488 :rule chain_m_resolution :premises (@p487 @p486) :args ((not @t440) @t397 @t465)) % 54.65/54.88 (step @p489 :rule cnf_or_pos :args (@t468)) % 54.65/54.88 (step @p490 :rule reordering :premises (@p489) :args ((or @t440 @t467 @t466 (not @t468)))) % 54.65/54.88 (step @p491 :rule chain_m_resolution :premises (@p490 @p488 @p474 @p292) :args (@t466 @t455 (@list @t440 @t442 @t468))) % 54.65/54.88 (step @p492 :rule instantiate :premises (@p286) :args (@t462)) % 54.65/54.88 (step @p493 :rule instantiate :premises (@p291) :args (@t462)) % 54.65/54.88 (step @p494 :rule cnf_or_neg :args (@t445 0)) % 54.65/54.88 (step @p495 :rule chain_m_resolution :premises (@p494 @p482) :args ((not @t444) @t397 @t464)) % 54.65/54.88 (step @p496 :rule cnf_or_pos :args (@t471)) % 54.65/54.88 (step @p497 :rule reordering :premises (@p496) :args ((or @t444 @t470 @t469 (not @t471)))) % 54.65/54.88 (step @p498 :rule chain_m_resolution :premises (@p497 @p495 @p478 @p493) :args (@t469 @t455 (@list @t444 @t446 @t471))) % 54.65/54.88 (step @p499 :rule cnf_or_pos :args (@t473)) % 54.65/54.88 (step @p500 :rule reordering :premises (@p499) :args ((or @t438 @t472 (not @t473)))) % 54.65/54.88 (step @p501 :rule chain_m_resolution :premises (@p500 @p498 @p492) :args (@t438 (@list false false) (@list @t469 @t473))) % 54.65/54.88 (step @p502 :rule cnf_or_neg :args (@t441 1)) % 54.65/54.88 (step @p503 :rule chain_m_resolution :premises (@p502 @p486) :args ((not @t439) @t397 @t465)) % 54.65/54.88 (step @p504 :rule cnf_and_neg :args (@t439)) % 54.65/54.88 (step @p505 :rule chain_m_resolution :premises (@p504 @p503 @p501) :args ((not @t436) @t434 (@list @t439 @t438))) % 54.65/54.88 (step @p506 :rule cnf_or_pos :args (@t475)) % 54.65/54.88 (step @p507 :rule reordering :premises (@p506) :args ((or @t436 @t474 @t476))) % 54.65/54.88 (step @p508 :rule chain_m_resolution :premises (@p507 @p505 @p491) :args (@t476 @t434 (@list @t436 @t466))) % 54.65/54.88 (assume-push @p519 @t477) % 54.65/54.88 (step @p510 :rule instantiate :premises (@p286) :args (@t375)) % 54.65/54.88 (step-pop @p520 :rule scope :premises (@p510)) % 54.65/54.88 (step @p511 :rule process_scope :premises (@p520) :args (@t475)) % 54.65/54.88 (step @p513 :rule implies_elim :premises (@p511)) % 54.65/54.88 (step @p514 false :rule chain_m_resolution :premises (@p513 @p508 @p286) :args (false @t434 (@list @t475 @t477))) % 54.65/54.88 ) % 54.65/54.88 % SZS output end Proof % 54.65/54.88 % cvc5 exiting %------------------------------------------------------------------------------