%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX058+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 : n013.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 09:07:03 AM UTC 2026 % Result : Theorem 1.02s 1.27s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX058+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n013.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 22:54:45 EDT 2026 % 0.19/0.35 % CPUTime : % 0.40/0.56 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.27 % SZS status Theorem % 1.02/1.27 % SZS output start Proof % 1.02/1.27 ( % 1.02/1.27 (declare-sort $$unsorted 0) % 1.02/1.27 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.27 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.27 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.gr (-> $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 1.02/1.27 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 1.02/1.27 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.27 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'0'| $$unsorted) % 1.02/1.27 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.nil $$unsorted) % 1.02/1.27 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.27 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.27 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.27 (define @t1 () (@var "Xx3" $$unsorted)) % 1.02/1.27 (define @t2 () (tptp.s @t1)) % 1.02/1.27 (define @t3 () (@var "Xx5" $$unsorted)) % 1.02/1.27 (define @t4 () (@var "Xx4" $$unsorted)) % 1.02/1.27 (define @t5 () (tptp.cons @t4 @t3)) % 1.02/1.27 (define @t6 () (@list @t4 @t3)) % 1.02/1.27 (define @t7 () (@var "Xx6" $$unsorted)) % 1.02/1.27 (define @t8 () (@var "Xx8" $$unsorted)) % 1.02/1.27 (define @t9 () (@var "Xx7" $$unsorted)) % 1.02/1.27 (define @t10 () (@var "Xx10" $$unsorted)) % 1.02/1.27 (define @t11 () (@var "Xx9" $$unsorted)) % 1.02/1.27 (define @t12 () (@var "Xx13" $$unsorted)) % 1.02/1.27 (define @t13 () (@var "Xx12" $$unsorted)) % 1.02/1.27 (define @t14 () (@var "Xx11" $$unsorted)) % 1.02/1.27 (define @t15 () (@var "Xx17" $$unsorted)) % 1.02/1.27 (define @t16 () (@var "Xx15" $$unsorted)) % 1.02/1.27 (define @t17 () (@var "Xx16" $$unsorted)) % 1.02/1.27 (define @t18 () (@var "Xx14" $$unsorted)) % 1.02/1.27 (define @t19 () (@var "Xx20" $$unsorted)) % 1.02/1.27 (define @t20 () (@var "Xx18" $$unsorted)) % 1.02/1.27 (define @t21 () (@var "Xx21" $$unsorted)) % 1.02/1.27 (define @t22 () (@var "Xx19" $$unsorted)) % 1.02/1.27 (define @t23 () (@var "Xx22" $$unsorted)) % 1.02/1.27 (define @t24 () (@var "Xx24" $$unsorted)) % 1.02/1.27 (define @t25 () (@var "Xx23" $$unsorted)) % 1.02/1.27 (define @t26 () (@var "Xx27" $$unsorted)) % 1.02/1.27 (define @t27 () (@var "Xx26" $$unsorted)) % 1.02/1.27 (define @t28 () (@var "Xx25" $$unsorted)) % 1.02/1.27 (define @t29 () (tptp.member2_fails @t28 @t27 @t26)) % 1.02/1.27 (define @t30 () (tptp.member2_succeeds @t28 @t27 @t26)) % 1.02/1.27 (define @t31 () (@list @t28 @t27 @t26)) % 1.02/1.27 (define @t32 () (@var "Xx30" $$unsorted)) % 1.02/1.27 (define @t33 () (@var "Xx29" $$unsorted)) % 1.02/1.27 (define @t34 () (@var "Xx28" $$unsorted)) % 1.02/1.27 (define @t35 () (tptp.occ_fails @t34 @t33 @t32)) % 1.02/1.27 (define @t36 () (tptp.occ_succeeds @t34 @t33 @t32)) % 1.02/1.27 (define @t37 () (@list @t34 @t33 @t32)) % 1.02/1.27 (define @t38 () (@var "Xx32" $$unsorted)) % 1.02/1.27 (define @t39 () (@var "Xx31" $$unsorted)) % 1.02/1.27 (define @t40 () (tptp.not_same_occ_fails @t39 @t38)) % 1.02/1.27 (define @t41 () (tptp.not_same_occ_succeeds @t39 @t38)) % 1.02/1.27 (define @t42 () (@list @t39 @t38)) % 1.02/1.27 (define @t43 () (@var "Xx34" $$unsorted)) % 1.02/1.27 (define @t44 () (@var "Xx33" $$unsorted)) % 1.02/1.27 (define @t45 () (tptp.same_occ_fails @t44 @t43)) % 1.02/1.27 (define @t46 () (tptp.same_occ_succeeds @t44 @t43)) % 1.02/1.27 (define @t47 () (@list @t44 @t43)) % 1.02/1.27 (define @t48 () (@var "Xx36" $$unsorted)) % 1.02/1.27 (define @t49 () (@var "Xx35" $$unsorted)) % 1.02/1.27 (define @t50 () (tptp.permutation_fails @t49 @t48)) % 1.02/1.27 (define @t51 () (tptp.permutation_succeeds @t49 @t48)) % 1.02/1.27 (define @t52 () (@list @t49 @t48)) % 1.02/1.27 (define @t53 () (@var "Xx39" $$unsorted)) % 1.02/1.27 (define @t54 () (@var "Xx38" $$unsorted)) % 1.02/1.27 (define @t55 () (@var "Xx37" $$unsorted)) % 1.02/1.27 (define @t56 () (tptp.delete_fails @t55 @t54 @t53)) % 1.02/1.27 (define @t57 () (tptp.delete_succeeds @t55 @t54 @t53)) % 1.02/1.27 (define @t58 () (@list @t55 @t54 @t53)) % 1.02/1.27 (define @t59 () (@var "Xx41" $$unsorted)) % 1.02/1.27 (define @t60 () (@var "Xx40" $$unsorted)) % 1.02/1.27 (define @t61 () (tptp.length_fails @t60 @t59)) % 1.02/1.27 (define @t62 () (tptp.length_succeeds @t60 @t59)) % 1.02/1.27 (define @t63 () (@list @t60 @t59)) % 1.02/1.27 (define @t64 () (@var "Xx44" $$unsorted)) % 1.02/1.27 (define @t65 () (@var "Xx43" $$unsorted)) % 1.02/1.27 (define @t66 () (@var "Xx42" $$unsorted)) % 1.02/1.27 (define @t67 () (tptp.append_fails @t66 @t65 @t64)) % 1.02/1.27 (define @t68 () (tptp.append_succeeds @t66 @t65 @t64)) % 1.02/1.27 (define @t69 () (@list @t66 @t65 @t64)) % 1.02/1.27 (define @t70 () (@var "Xx46" $$unsorted)) % 1.02/1.27 (define @t71 () (@var "Xx45" $$unsorted)) % 1.02/1.27 (define @t72 () (tptp.member_fails @t71 @t70)) % 1.02/1.27 (define @t73 () (tptp.member_succeeds @t71 @t70)) % 1.02/1.27 (define @t74 () (@list @t71 @t70)) % 1.02/1.27 (define @t75 () (@var "Xx47" $$unsorted)) % 1.02/1.27 (define @t76 () (tptp.list_fails @t75)) % 1.02/1.27 (define @t77 () (tptp.list_succeeds @t75)) % 1.02/1.27 (define @t78 () (@list @t75)) % 1.02/1.27 (define @t79 () (@var "Xx48" $$unsorted)) % 1.02/1.27 (define @t80 () (tptp.nat_list_fails @t79)) % 1.02/1.27 (define @t81 () (tptp.nat_list_succeeds @t79)) % 1.02/1.27 (define @t82 () (@list @t79)) % 1.02/1.27 (define @t83 () (@var "Xx51" $$unsorted)) % 1.02/1.27 (define @t84 () (@var "Xx50" $$unsorted)) % 1.02/1.27 (define @t85 () (@var "Xx49" $$unsorted)) % 1.02/1.27 (define @t86 () (tptp.times_fails @t85 @t84 @t83)) % 1.02/1.27 (define @t87 () (tptp.times_succeeds @t85 @t84 @t83)) % 1.02/1.27 (define @t88 () (@list @t85 @t84 @t83)) % 1.02/1.27 (define @t89 () (@var "Xx54" $$unsorted)) % 1.02/1.27 (define @t90 () (@var "Xx53" $$unsorted)) % 1.02/1.27 (define @t91 () (@var "Xx52" $$unsorted)) % 1.02/1.27 (define @t92 () (tptp.plus_fails @t91 @t90 @t89)) % 1.02/1.27 (define @t93 () (tptp.plus_succeeds @t91 @t90 @t89)) % 1.02/1.27 (define @t94 () (@list @t91 @t90 @t89)) % 1.02/1.27 (define @t95 () (@var "Xx56" $$unsorted)) % 1.02/1.27 (define @t96 () (@var "Xx55" $$unsorted)) % 1.02/1.27 (define @t97 () (|tptp.'@=<_fails'| @t96 @t95)) % 1.02/1.27 (define @t98 () (|tptp.'@=<_succeeds'| @t96 @t95)) % 1.02/1.27 (define @t99 () (@list @t96 @t95)) % 1.02/1.27 (define @t100 () (@var "Xx58" $$unsorted)) % 1.02/1.27 (define @t101 () (@var "Xx57" $$unsorted)) % 1.02/1.27 (define @t102 () (|tptp.'@<_fails'| @t101 @t100)) % 1.02/1.27 (define @t103 () (|tptp.'@<_succeeds'| @t101 @t100)) % 1.02/1.27 (define @t104 () (@list @t101 @t100)) % 1.02/1.27 (define @t105 () (@var "Xx59" $$unsorted)) % 1.02/1.27 (define @t106 () (tptp.nat_fails @t105)) % 1.02/1.27 (define @t107 () (tptp.nat_succeeds @t105)) % 1.02/1.27 (define @t108 () (@list @t105)) % 1.02/1.27 (define @t109 () (@var "Xx2" $$unsorted)) % 1.02/1.27 (define @t110 () (@var "Xx1" $$unsorted)) % 1.02/1.27 (define @t111 () (tptp.member_succeeds @t110 @t109)) % 1.02/1.27 (define @t112 () (@list @t110 @t109 @t1)) % 1.02/1.27 (define @t113 () (tptp.member_fails @t110 @t109)) % 1.02/1.27 (define @t114 () (tptp.member_terminates @t110 @t109)) % 1.02/1.27 (define @t115 () (= @t1 |tptp.'0'|)) % 1.02/1.27 (define @t116 () (= @t109 tptp.nil)) % 1.02/1.27 (define @t117 () (= @t1 (tptp.s @t9))) % 1.02/1.27 (define @t118 () (= @t109 (tptp.cons @t110 @t7))) % 1.02/1.27 (define @t119 () (@list @t7 @t9)) % 1.02/1.27 (define @t120 () (= @t110 @t4)) % 1.02/1.27 (define @t121 () (= @t109 @t5)) % 1.02/1.27 (define @t122 () (not @t115)) % 1.02/1.27 (define @t123 () (not @t116)) % 1.02/1.27 (define @t124 () (not @t117)) % 1.02/1.27 (define @t125 () (not @t118)) % 1.02/1.27 (define @t126 () (not @t121)) % 1.02/1.27 (define @t127 () (tptp.gr @t4)) % 1.02/1.27 (define @t128 () (tptp.gr @t110)) % 1.02/1.27 (define @t129 () (= @t4 @t3)) % 1.02/1.27 (define @t130 () (@list @t1 @t4 @t3)) % 1.02/1.27 (define @t131 () (tptp.not_same_occ_succeeds @t110 @t109)) % 1.02/1.27 (define @t132 () (@list @t110 @t109)) % 1.02/1.27 (define @t133 () (tptp.occ_fails @t1 @t109 @t3)) % 1.02/1.27 (define @t134 () (tptp.occ_fails @t1 @t110 @t4)) % 1.02/1.27 (define @t135 () (tptp.member2_fails @t1 @t110 @t109)) % 1.02/1.27 (define @t136 () (tptp.not_same_occ_fails @t110 @t109)) % 1.02/1.27 (define @t137 () (tptp.not_same_occ_terminates @t110 @t109)) % 1.02/1.27 (define @t138 () (= @t110 tptp.nil)) % 1.02/1.27 (define @t139 () (tptp.cons @t1 @t4)) % 1.02/1.27 (define @t140 () (= @t109 @t139)) % 1.02/1.27 (define @t141 () (not @t138)) % 1.02/1.27 (define @t142 () (tptp.delete_fails @t1 @t110 @t3)) % 1.02/1.27 (define @t143 () (not @t140)) % 1.02/1.27 (define @t144 () (or @t141 true)) % 1.02/1.27 (define @t145 () (= @t109 (tptp.cons @t110 @t1))) % 1.02/1.27 (define @t146 () (= @t1 (tptp.cons @t4 @t7))) % 1.02/1.27 (define @t147 () (@list @t4 @t3 @t7)) % 1.02/1.27 (define @t148 () (not @t146)) % 1.02/1.27 (define @t149 () (= @t109 |tptp.'0'|)) % 1.02/1.27 (define @t150 () (tptp.s @t3)) % 1.02/1.27 (define @t151 () (= @t109 @t150)) % 1.02/1.27 (define @t152 () (= @t110 @t139)) % 1.02/1.27 (define @t153 () (not @t151)) % 1.02/1.27 (define @t154 () (not @t152)) % 1.02/1.27 (define @t155 () (= @t1 @t109)) % 1.02/1.27 (define @t156 () (= @t110 @t5)) % 1.02/1.27 (define @t157 () (not @t155)) % 1.02/1.27 (define @t158 () (not @t156)) % 1.02/1.27 (define @t159 () (= @t109 (tptp.cons @t110 @t3))) % 1.02/1.27 (define @t160 () (@list @t3)) % 1.02/1.27 (define @t161 () (@list @t1 @t4)) % 1.02/1.27 (define @t162 () (tptp.list_succeeds @t1)) % 1.02/1.27 (define @t163 () (tptp.cons @t109 @t1)) % 1.02/1.27 (define @t164 () (= @t110 @t163)) % 1.02/1.27 (define @t165 () (@list @t109 @t1)) % 1.02/1.27 (define @t166 () (@list @t110)) % 1.02/1.27 (define @t167 () (not @t164)) % 1.02/1.27 (define @t168 () (tptp.nat_succeeds @t109)) % 1.02/1.27 (define @t169 () (tptp.nat_fails @t109)) % 1.02/1.27 (define @t170 () (tptp.nat_terminates @t109)) % 1.02/1.27 (define @t171 () (= @t110 |tptp.'0'|)) % 1.02/1.27 (define @t172 () (tptp.s @t4)) % 1.02/1.27 (define @t173 () (= @t110 @t172)) % 1.02/1.27 (define @t174 () (not @t171)) % 1.02/1.27 (define @t175 () (tptp.times_fails @t4 @t109 @t3)) % 1.02/1.27 (define @t176 () (not @t173)) % 1.02/1.27 (define @t177 () (or @t174 true)) % 1.02/1.27 (define @t178 () (= @t1 @t150)) % 1.02/1.27 (define @t179 () (not @t178)) % 1.02/1.27 (define @t180 () (= @t109 @t172)) % 1.02/1.27 (define @t181 () (= @t110 @t2)) % 1.02/1.27 (define @t182 () (not @t180)) % 1.02/1.27 (define @t183 () (not @t181)) % 1.02/1.27 (define @t184 () (= @t110 (tptp.s @t109))) % 1.02/1.27 (define @t185 () (@list @t109)) % 1.02/1.27 (define @t186 () (tptp.nat_succeeds @t110)) % 1.02/1.27 (define @t187 () (not @t184)) % 1.02/1.27 (define @t188 () (@var "Xx" $$unsorted)) % 1.02/1.27 (define @t189 () (tptp.nat_succeeds @t188)) % 1.02/1.27 (define @t190 () (@list @t188)) % 1.02/1.27 (define @t191 () (tptp.gr @t188)) % 1.02/1.27 (define @t192 () (@var "Xz" $$unsorted)) % 1.02/1.27 (define @t193 () (@var "Xy" $$unsorted)) % 1.02/1.27 (define @t194 () (tptp.plus_terminates @t188 @t193 @t192)) % 1.02/1.27 (define @t195 () (@list @t188 @t193 @t192)) % 1.02/1.27 (define @t196 () (tptp.nat_succeeds @t192)) % 1.02/1.27 (define @t197 () (tptp.plus_succeeds @t188 @t193 @t192)) % 1.02/1.27 (define @t198 () (tptp.nat_succeeds @t193)) % 1.02/1.27 (define @t199 () (tptp.gr @t192)) % 1.02/1.27 (define @t200 () (tptp.gr @t193)) % 1.02/1.27 (define @t201 () (@list @t192)) % 1.02/1.27 (define @t202 () (@list @t188 @t193)) % 1.02/1.27 (define @t203 () (@var "Xz2" $$unsorted)) % 1.02/1.27 (define @t204 () (@var "Xz1" $$unsorted)) % 1.02/1.27 (define @t205 () (= @t204 @t203)) % 1.02/1.27 (define @t206 () (@list @t188 @t193 @t204 @t203)) % 1.02/1.27 (define @t207 () (@list @t193)) % 1.02/1.27 (define @t208 () (|tptp.'@+'| @t188 @t193)) % 1.02/1.27 (define @t209 () (tptp.s @t188)) % 1.02/1.27 (define @t210 () (|tptp.'@+'| @t209 @t193)) % 1.02/1.27 (define @t211 () (and @t189 @t198)) % 1.02/1.27 (define @t212 () (|tptp.'@+'| @t193 @t192)) % 1.02/1.27 (define @t213 () (and @t189 @t198 @t196)) % 1.02/1.27 (define @t214 () (tptp.s @t193)) % 1.02/1.27 (define @t215 () (|tptp.'@+'| @t188 @t214)) % 1.02/1.27 (define @t216 () (|tptp.'@+'| @t193 @t188)) % 1.02/1.27 (define @t217 () (= @t208 @t216)) % 1.02/1.27 (define @t218 () (forall @t202 (=> @t211 @t217))) % 1.02/1.27 (define @t219 () (|tptp.'@+'| @t188 @t192)) % 1.02/1.27 (define @t220 () (tptp.times_succeeds @t188 @t193 @t192)) % 1.02/1.27 (define @t221 () (|tptp.'@*'| @t188 @t193)) % 1.02/1.27 (define @t222 () (|tptp.'@*'| @t209 @t193)) % 1.02/1.27 (define @t223 () (|tptp.'@*'| @t193 @t192)) % 1.02/1.27 (define @t224 () (|tptp.'@*'| @t188 @t192)) % 1.02/1.27 (define @t225 () (|tptp.'@*'| @t193 @t188)) % 1.02/1.27 (define @t226 () (tptp.s |tptp.'0'|)) % 1.02/1.27 (define @t227 () (|tptp.'@<_terminates'| @t188 @t193)) % 1.02/1.27 (define @t228 () (|tptp.'@<_succeeds'| @t188 @t193)) % 1.02/1.27 (define @t229 () (tptp.s @t192)) % 1.02/1.27 (define @t230 () (|tptp.'@<_succeeds'| @t188 @t192)) % 1.02/1.27 (define @t231 () (|tptp.'@<_succeeds'| @t188 @t214)) % 1.02/1.27 (define @t232 () (|tptp.'@<_succeeds'| @t193 @t192)) % 1.02/1.27 (define @t233 () (= @t188 @t193)) % 1.02/1.27 (define @t234 () (or @t228 @t233)) % 1.02/1.27 (define @t235 () (not (= @t188 |tptp.'0'|))) % 1.02/1.27 (define @t236 () (|tptp.'@=<_succeeds'| @t188 @t193)) % 1.02/1.27 (define @t237 () (|tptp.'@=<_succeeds'| @t193 @t188)) % 1.02/1.27 (define @t238 () (|tptp.'@=<_succeeds'| @t193 @t192)) % 1.02/1.27 (define @t239 () (|tptp.'@<_succeeds'| @t208 @t219)) % 1.02/1.27 (define @t240 () (|tptp.'@<_succeeds'| @t219 @t212)) % 1.02/1.27 (define @t241 () (|tptp.'@=<_succeeds'| @t208 @t219)) % 1.02/1.27 (define @t242 () (and @t236 @t198 @t196)) % 1.02/1.27 (define @t243 () (@var "Xy2" $$unsorted)) % 1.02/1.27 (define @t244 () (@var "Xy1" $$unsorted)) % 1.02/1.27 (define @t245 () (|tptp.'@+'| @t244 @t243)) % 1.02/1.27 (define @t246 () (|tptp.'@+'| @t110 @t109)) % 1.02/1.27 (define @t247 () (tptp.nat_succeeds @t244)) % 1.02/1.27 (define @t248 () (|tptp.'@=<_succeeds'| @t109 @t243)) % 1.02/1.27 (define @t249 () (|tptp.'@=<_succeeds'| @t110 @t244)) % 1.02/1.27 (define @t250 () (@list @t110 @t109 @t244 @t243)) % 1.02/1.27 (define @t251 () (|tptp.'@<_succeeds'| @t246 @t245)) % 1.02/1.27 (define @t252 () (|tptp.'@<_succeeds'| @t110 @t244)) % 1.02/1.27 (define @t253 () (|tptp.'@<_succeeds'| @t109 @t243)) % 1.02/1.27 (define @t254 () (@var "Xl" $$unsorted)) % 1.02/1.27 (define @t255 () (tptp.list_succeeds @t254)) % 1.02/1.27 (define @t256 () (tptp.cons @t188 @t254)) % 1.02/1.27 (define @t257 () (@list @t188 @t254)) % 1.02/1.27 (define @t258 () (@list @t254)) % 1.02/1.27 (define @t259 () (tptp.member_fails @t188 @t254)) % 1.02/1.27 (define @t260 () (tptp.member_succeeds @t188 @t254)) % 1.02/1.27 (define @t261 () (tptp.gr @t254)) % 1.02/1.27 (define @t262 () (not @t233)) % 1.02/1.27 (define @t263 () (tptp.cons @t193 @t254)) % 1.02/1.27 (define @t264 () (@var "Xl1" $$unsorted)) % 1.02/1.27 (define @t265 () (tptp.list_succeeds @t264)) % 1.02/1.27 (define @t266 () (@var "Xl3" $$unsorted)) % 1.02/1.27 (define @t267 () (@var "Xl2" $$unsorted)) % 1.02/1.28 (define @t268 () (tptp.append_succeeds @t264 @t267 @t266)) % 1.02/1.28 (define @t269 () (@list @t264 @t267 @t266)) % 1.02/1.28 (define @t270 () (tptp.list_succeeds @t266)) % 1.02/1.28 (define @t271 () (tptp.list_succeeds @t267)) % 1.02/1.28 (define @t272 () (and @t268 @t270)) % 1.02/1.28 (define @t273 () (and @t265 @t271)) % 1.02/1.28 (define @t274 () (tptp.append_terminates @t264 @t267 @t266)) % 1.02/1.28 (define @t275 () (tptp.gr @t266)) % 1.02/1.28 (define @t276 () (tptp.gr @t267)) % 1.02/1.28 (define @t277 () (tptp.gr @t264)) % 1.02/1.28 (define @t278 () (and @t277 @t276)) % 1.02/1.28 (define @t279 () (@list @t264 @t267)) % 1.02/1.28 (define @t280 () (@var "Xl4" $$unsorted)) % 1.02/1.28 (define @t281 () (@list @t264 @t267 @t266 @t280)) % 1.02/1.28 (define @t282 () (|tptp.'**'| @t264 @t267)) % 1.02/1.28 (define @t283 () (tptp.cons @t188 @t264)) % 1.02/1.28 (define @t284 () (@list @t188 @t264 @t267)) % 1.02/1.28 (define @t285 () (tptp.list_succeeds @t282)) % 1.02/1.28 (define @t286 () (forall @t279 (=> @t273 @t285))) % 1.02/1.28 (define @t287 () (tptp.gr @t282)) % 1.02/1.28 (define @t288 () (|tptp.'**'| @t267 @t266)) % 1.02/1.28 (define @t289 () (@var "Xn" $$unsorted)) % 1.02/1.28 (define @t290 () (tptp.nat_succeeds @t289)) % 1.02/1.28 (define @t291 () (and @t255 @t290)) % 1.02/1.28 (define @t292 () (tptp.length_succeeds @t254 @t289)) % 1.02/1.28 (define @t293 () (@list @t254 @t289)) % 1.02/1.28 (define @t294 () (tptp.gr @t289)) % 1.02/1.28 (define @t295 () (@list @t289)) % 1.02/1.28 (define @t296 () (@var "Xm" $$unsorted)) % 1.02/1.28 (define @t297 () (= @t296 @t289)) % 1.02/1.28 (define @t298 () (tptp.lh @t254)) % 1.02/1.28 (define @t299 () (tptp.lh @t256)) % 1.02/1.28 (define @t300 () (= @t254 tptp.nil)) % 1.02/1.28 (define @t301 () (tptp.cons @t188 @t267)) % 1.02/1.28 (define @t302 () (tptp.s @t289)) % 1.02/1.28 (define @t303 () (tptp.lh @t264)) % 1.02/1.28 (define @t304 () (tptp.lh @t267)) % 1.02/1.28 (define @t305 () (|tptp.'@+'| @t303 @t304)) % 1.02/1.28 (define @t306 () (tptp.lh @t282)) % 1.02/1.28 (define @t307 () (tptp.lh @t266)) % 1.02/1.28 (define @t308 () (@var "Xi" $$unsorted)) % 1.02/1.28 (define @t309 () (tptp.cons @t188 @t308)) % 1.02/1.28 (define @t310 () (@var "Xk" $$unsorted)) % 1.02/1.28 (define @t311 () (@var "Xj" $$unsorted)) % 1.02/1.28 (define @t312 () (tptp.sub @t308 @t311)) % 1.02/1.28 (define @t313 () (@list @t188 @t308 @t311)) % 1.02/1.28 (define @t314 () (tptp.append_succeeds @t264 @t301 @t266)) % 1.02/1.28 (define @t315 () (tptp.member_succeeds @t188 @t266)) % 1.02/1.28 (define @t316 () (tptp.member_succeeds @t188 @t264)) % 1.02/1.28 (define @t317 () (@list @t188 @t264 @t267 @t266)) % 1.02/1.28 (define @t318 () (tptp.member_succeeds @t188 @t267)) % 1.02/1.28 (define @t319 () (tptp.member_succeeds @t188 @t282)) % 1.02/1.28 (define @t320 () (or @t316 @t318)) % 1.02/1.28 (define @t321 () (= @t264 tptp.nil)) % 1.02/1.28 (define @t322 () (tptp.nat_list_succeeds @t254)) % 1.02/1.28 (define @t323 () (|tptp.'@<_succeeds'| @t305 @t289)) % 1.02/1.28 (define @t324 () (tptp.delete_terminates @t188 @t264 @t267)) % 1.02/1.28 (define @t325 () (tptp.delete_succeeds @t188 @t264 @t267)) % 1.02/1.28 (define @t326 () (and @t325 @t265)) % 1.02/1.28 (define @t327 () (|tptp.'**'| @t266 @t280)) % 1.02/1.28 (define @t328 () (tptp.member_succeeds @t193 @t267)) % 1.02/1.28 (define @t329 () (tptp.member_succeeds @t193 @t264)) % 1.02/1.28 (define @t330 () (@list @t188 @t193 @t264 @t267)) % 1.02/1.28 (define @t331 () (@list @t267)) % 1.02/1.28 (define @t332 () (exists @t331 @t325)) % 1.02/1.28 (define @t333 () (tptp.occ_succeeds @t188 @t254 @t296)) % 1.02/1.28 (define @t334 () (tptp.occ @t188 @t254)) % 1.02/1.28 (define @t335 () (tptp.permutation_succeeds @t264 @t267)) % 1.02/1.28 (define @t336 () (tptp.permutation_terminates @t264 @t267)) % 1.02/1.28 (define @t337 () (@list @t188 @t254 @t289)) % 1.02/1.28 (define @t338 () (tptp.occ_succeeds @t188 @t254 @t289)) % 1.02/1.28 (define @t339 () (and @t265 @t271 @t277 @t276)) % 1.02/1.28 (define @t340 () (tptp.nat_succeeds @t334)) % 1.02/1.28 (define @t341 () (forall @t257 (=> @t255 @t340))) % 1.02/1.28 (define @t342 () (tptp.occ @t188 @t267)) % 1.02/1.28 (define @t343 () (tptp.occ @t188 @t264)) % 1.02/1.28 (define @t344 () (= (tptp.occ @t188 @t282) (|tptp.'@+'| @t343 @t342))) % 1.02/1.28 (define @t345 () (forall @t284 (=> @t273 @t344))) % 1.02/1.28 (define @t346 () (forall @t190 (= @t343 @t342))) % 1.02/1.28 (define @t347 () (tptp.same_occ_succeeds @t264 @t267)) % 1.02/1.28 (define @t348 () (= @t334 |tptp.'0'|)) % 1.02/1.28 (define @t349 () (and @t265 @t346)) % 1.02/1.28 (define @t350 () (@list @t264)) % 1.02/1.28 (define @t351 () (forall @t350 (=> @t349 @t335))) % 1.02/1.28 (define @t352 () (=> @t271 @t351)) % 1.02/1.28 (define @t353 () (forall @t331 @t352)) % 1.02/1.28 (define @t354 () (and @t265 @t271 @t347)) % 1.02/1.28 (define @t355 () (tptp.permutation_succeeds @t264 @t266)) % 1.02/1.28 (define @t356 () (tptp.permutation_succeeds @t282 (|tptp.'**'| @t267 @t264))) % 1.02/1.28 (define @t357 () (forall @t331 (=> @t271 @t356))) % 1.02/1.28 (define @t358 () (forall @t279 (=> @t273 @t356))) % 1.02/1.28 (define @t359 () (not @t358)) % 1.02/1.28 (define @t360 () (not @t271)) % 1.02/1.28 (define @t361 () (not @t265)) % 1.02/1.28 (define @t362 () (or @t361 @t360)) % 1.02/1.28 (define @t363 () (not @t273)) % 1.02/1.28 (define @t364 () (@var "BOUND_VARIABLE_10898" $$unsorted)) % 1.02/1.28 (define @t365 () (forall (@list @t264 @t364) (or @t361 (not (tptp.list_succeeds @t364)) (tptp.permutation_succeeds (|tptp.'**'| @t264 @t364) (|tptp.'**'| @t364 @t264))))) % 1.02/1.28 (define @t366 () (@quantifiers_skolemize @t365 1)) % 1.02/1.28 (define @t367 () (@quantifiers_skolemize @t365 0)) % 1.02/1.28 (define @t368 () (|tptp.'**'| @t367 @t366)) % 1.02/1.28 (define @t369 () (|tptp.'**'| @t366 @t367)) % 1.02/1.28 (define @t370 () (forall @t190 (= (tptp.occ @t188 @t369) (tptp.occ @t188 @t368)))) % 1.02/1.28 (define @t371 () (@quantifiers_skolemize @t370 0)) % 1.02/1.28 (define @t372 () (or @t361 @t360 @t356)) % 1.02/1.28 (define @t373 () (@var "BOUND_VARIABLE_13490" $$unsorted)) % 1.02/1.28 (define @t374 () (@var "BOUND_VARIABLE_13491" $$unsorted)) % 1.02/1.28 (define @t375 () (@list @t373 @t374)) % 1.02/1.28 (define @t376 () (not @t365)) % 1.02/1.28 (define @t377 () (forall @t279 @t372)) % 1.02/1.28 (define @t378 () (@list true)) % 1.02/1.28 (define @t379 () (tptp.list_succeeds @t366)) % 1.02/1.28 (define @t380 () (tptp.permutation_succeeds @t368 @t369)) % 1.02/1.28 (define @t381 () (not @t379)) % 1.02/1.28 (define @t382 () (tptp.list_succeeds @t367)) % 1.02/1.28 (define @t383 () (not @t382)) % 1.02/1.28 (define @t384 () (or @t383 @t381 @t380)) % 1.02/1.28 (define @t385 () (@list @t384)) % 1.02/1.28 (define @t386 () (tptp.occ @t371 @t366)) % 1.02/1.28 (define @t387 () (tptp.occ @t371 @t367)) % 1.02/1.28 (define @t388 () (|tptp.'@+'| @t387 @t386)) % 1.02/1.28 (define @t389 () (= (tptp.occ @t371 @t368) @t388)) % 1.02/1.28 (define @t390 () (or @t383 @t381 @t389)) % 1.02/1.28 (define @t391 () (@list false false false)) % 1.02/1.28 (define @t392 () (not @t198)) % 1.02/1.28 (define @t393 () (not @t189)) % 1.02/1.28 (define @t394 () (tptp.nat_succeeds @t386)) % 1.02/1.28 (define @t395 () (or @t381 @t394)) % 1.02/1.28 (define @t396 () (@list false false)) % 1.02/1.28 (define @t397 () (tptp.nat_succeeds @t387)) % 1.02/1.28 (define @t398 () (or @t383 @t397)) % 1.02/1.28 (define @t399 () (|tptp.'@+'| @t386 @t387)) % 1.02/1.28 (define @t400 () (= @t388 @t399)) % 1.02/1.28 (define @t401 () (not @t394)) % 1.02/1.28 (define @t402 () (not @t397)) % 1.02/1.28 (define @t403 () (or @t402 @t401 @t400)) % 1.02/1.28 (define @t404 () (= (tptp.occ @t371 @t369) @t399)) % 1.02/1.28 (define @t405 () (or @t381 @t383 @t404)) % 1.02/1.28 (define @t406 () (@var "BOUND_VARIABLE_10767" $$unsorted)) % 1.02/1.28 (define @t407 () (tptp.permutation_succeeds @t406 @t267)) % 1.02/1.28 (define @t408 () (tptp.occ @t188 @t406)) % 1.02/1.28 (define @t409 () (forall @t190 (= @t408 @t342))) % 1.02/1.28 (define @t410 () (not @t409)) % 1.02/1.28 (define @t411 () (not (tptp.list_succeeds @t406))) % 1.02/1.28 (define @t412 () (or @t360 @t411 @t410 @t407)) % 1.02/1.28 (define @t413 () (or @t411 @t410 @t407)) % 1.02/1.28 (define @t414 () (or @t360 @t413)) % 1.02/1.28 (define @t415 () (forall (@list @t267 @t406) @t414)) % 1.02/1.28 (define @t416 () (@list @t406)) % 1.02/1.28 (define @t417 () (forall @t416 @t414)) % 1.02/1.28 (define @t418 () (forall @t416 @t413)) % 1.02/1.28 (define @t419 () (or @t360 @t418)) % 1.02/1.28 (define @t420 () (not @t346)) % 1.02/1.28 (define @t421 () (or @t361 @t420 @t335)) % 1.02/1.28 (define @t422 () (forall @t350 @t421)) % 1.02/1.28 (define @t423 () (tptp.list_succeeds @t368)) % 1.02/1.28 (define @t424 () (or @t383 @t381 @t423)) % 1.02/1.28 (define @t425 () (tptp.list_succeeds @t369)) % 1.02/1.28 (define @t426 () (or @t381 @t383 @t425)) % 1.02/1.28 (define @t427 () (not @t370)) % 1.02/1.28 (define @t428 () (not @t423)) % 1.02/1.28 (define @t429 () (not @t425)) % 1.02/1.28 (define @t430 () (or @t429 @t428 @t427 @t380)) % 1.02/1.28 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 1.02/1.28 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 1.02/1.28 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 1.02/1.28 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 1.02/1.28 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 1.02/1.28 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 1.02/1.28 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 1.02/1.28 (assume @p8 (forall (@list @t18 @t16 @t17 @t15) (=> (= (tptp.cons @t18 @t16) (tptp.cons @t17 @t15)) (= @t16 @t15)))) % 1.02/1.28 (assume @p9 (forall (@list @t20 @t22 @t19 @t21) (=> (= (tptp.cons @t20 @t22) (tptp.cons @t19 @t21)) (= @t20 @t19)))) % 1.02/1.28 (assume @p10 (tptp.gr |tptp.'0'|)) % 1.02/1.28 (assume @p11 (tptp.gr tptp.nil)) % 1.02/1.28 (assume @p12 (forall (@list @t23) (= (tptp.gr @t23) (tptp.gr (tptp.s @t23))))) % 1.02/1.28 (assume @p13 (forall (@list @t25 @t24) (= (and (tptp.gr @t25) (tptp.gr @t24)) (tptp.gr (tptp.cons @t25 @t24))))) % 1.02/1.28 (assume @p14 (forall @t31 (not (and @t30 @t29)))) % 1.02/1.28 (assume @p15 (forall @t31 (=> (tptp.member2_terminates @t28 @t27 @t26) (or @t30 @t29)))) % 1.02/1.28 (assume @p16 (forall @t37 (not (and @t36 @t35)))) % 1.02/1.28 (assume @p17 (forall @t37 (=> (tptp.occ_terminates @t34 @t33 @t32) (or @t36 @t35)))) % 1.02/1.28 (assume @p18 (forall @t42 (not (and @t41 @t40)))) % 1.02/1.28 (assume @p19 (forall @t42 (=> (tptp.not_same_occ_terminates @t39 @t38) (or @t41 @t40)))) % 1.02/1.28 (assume @p20 (forall @t47 (not (and @t46 @t45)))) % 1.02/1.28 (assume @p21 (forall @t47 (=> (tptp.same_occ_terminates @t44 @t43) (or @t46 @t45)))) % 1.02/1.28 (assume @p22 (forall @t52 (not (and @t51 @t50)))) % 1.02/1.28 (assume @p23 (forall @t52 (=> (tptp.permutation_terminates @t49 @t48) (or @t51 @t50)))) % 1.02/1.28 (assume @p24 (forall @t58 (not (and @t57 @t56)))) % 1.02/1.28 (assume @p25 (forall @t58 (=> (tptp.delete_terminates @t55 @t54 @t53) (or @t57 @t56)))) % 1.02/1.28 (assume @p26 (forall @t63 (not (and @t62 @t61)))) % 1.02/1.28 (assume @p27 (forall @t63 (=> (tptp.length_terminates @t60 @t59) (or @t62 @t61)))) % 1.02/1.28 (assume @p28 (forall @t69 (not (and @t68 @t67)))) % 1.02/1.28 (assume @p29 (forall @t69 (=> (tptp.append_terminates @t66 @t65 @t64) (or @t68 @t67)))) % 1.02/1.28 (assume @p30 (forall @t74 (not (and @t73 @t72)))) % 1.02/1.28 (assume @p31 (forall @t74 (=> (tptp.member_terminates @t71 @t70) (or @t73 @t72)))) % 1.02/1.28 (assume @p32 (forall @t78 (not (and @t77 @t76)))) % 1.02/1.28 (assume @p33 (forall @t78 (=> (tptp.list_terminates @t75) (or @t77 @t76)))) % 1.02/1.28 (assume @p34 (forall @t82 (not (and @t81 @t80)))) % 1.02/1.28 (assume @p35 (forall @t82 (=> (tptp.nat_list_terminates @t79) (or @t81 @t80)))) % 1.02/1.28 (assume @p36 (forall @t88 (not (and @t87 @t86)))) % 1.02/1.28 (assume @p37 (forall @t88 (=> (tptp.times_terminates @t85 @t84 @t83) (or @t87 @t86)))) % 1.02/1.28 (assume @p38 (forall @t94 (not (and @t93 @t92)))) % 1.02/1.28 (assume @p39 (forall @t94 (=> (tptp.plus_terminates @t91 @t90 @t89) (or @t93 @t92)))) % 1.02/1.28 (assume @p40 (forall @t99 (not (and @t98 @t97)))) % 1.02/1.28 (assume @p41 (forall @t99 (=> (|tptp.'@=<_terminates'| @t96 @t95) (or @t98 @t97)))) % 1.02/1.28 (assume @p42 (forall @t104 (not (and @t103 @t102)))) % 1.02/1.28 (assume @p43 (forall @t104 (=> (|tptp.'@<_terminates'| @t101 @t100) (or @t103 @t102)))) % 1.02/1.28 (assume @p44 (forall @t108 (not (and @t107 @t106)))) % 1.02/1.28 (assume @p45 (forall @t108 (=> (tptp.nat_terminates @t105) (or @t107 @t106)))) % 1.02/1.28 (assume @p46 (forall @t112 (= (tptp.member2_succeeds @t110 @t109 @t1) (or (tptp.member_succeeds @t110 @t1) @t111)))) % 1.02/1.28 (assume @p47 (forall @t112 (= (tptp.member2_fails @t110 @t109 @t1) (and (tptp.member_fails @t110 @t1) @t113)))) % 1.02/1.28 (assume @p48 (forall @t112 (= (tptp.member2_terminates @t110 @t109 @t1) (and (tptp.member_terminates @t110 @t1) @t114)))) % 1.02/1.28 (assume @p49 (forall @t112 (= (tptp.occ_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t121 (not @t120) (tptp.occ_succeeds @t110 @t3 @t1))) (exists @t119 (and @t118 @t117 (tptp.occ_succeeds @t110 @t7 @t9))) (and @t116 @t115))))) % 1.02/1.28 (assume @p50 (forall @t112 (= (tptp.occ_fails @t110 @t109 @t1) (and (forall @t6 (or @t126 @t120 (tptp.occ_fails @t110 @t3 @t1))) (forall @t119 (or @t125 @t124 (tptp.occ_fails @t110 @t7 @t9))) (or @t123 @t122))))) % 1.02/1.28 (assume @p51 (forall @t112 (= (tptp.occ_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t126 (and true @t128 @t127 (or @t120 (tptp.occ_terminates @t110 @t3 @t1)))))) (forall @t119 (and true (or @t125 (and true (or @t124 (tptp.occ_terminates @t110 @t7 @t9)))))) true (or @t123 true))))) % 1.02/1.28 (assume @p52 (forall @t132 (= @t131 (exists @t130 (and (tptp.member2_succeeds @t1 @t110 @t109) (tptp.occ_succeeds @t1 @t110 @t4) (tptp.occ_succeeds @t1 @t109 @t3) (not @t129)))))) % 1.02/1.28 (assume @p53 (forall @t132 (= @t136 (forall @t130 (or @t135 @t134 @t133 @t129))))) % 1.02/1.28 (assume @p54 (forall @t132 (= @t137 (forall @t130 (and (tptp.member2_terminates @t1 @t110 @t109) (or @t135 (and (tptp.occ_terminates @t1 @t110 @t4) (or @t134 (and (tptp.occ_terminates @t1 @t109 @t3) (or @t133 (and true @t127 (tptp.gr @t3)))))))))))) % 1.02/1.28 (assume @p55 (forall @t132 (= (tptp.same_occ_succeeds @t110 @t109) @t136))) % 1.02/1.28 (assume @p56 (forall @t132 (= (tptp.same_occ_fails @t110 @t109) @t131))) % 1.02/1.28 (assume @p57 (forall @t132 (= (tptp.same_occ_terminates @t110 @t109) (and @t137 @t128 (tptp.gr @t109))))) % 1.02/1.28 (assume @p58 (forall @t132 (= (tptp.permutation_succeeds @t110 @t109) (or (exists @t130 (and @t140 (tptp.delete_succeeds @t1 @t110 @t3) (tptp.permutation_succeeds @t3 @t4))) (and @t138 @t116))))) % 1.02/1.28 (assume @p59 (forall @t132 (= (tptp.permutation_fails @t110 @t109) (and (forall @t130 (or @t143 @t142 (tptp.permutation_fails @t3 @t4))) (or @t141 @t123))))) % 1.02/1.28 (assume @p60 (forall @t132 (= (tptp.permutation_terminates @t110 @t109) (and (forall @t130 (and true (or @t143 (and (tptp.delete_terminates @t1 @t110 @t3) (or @t142 (tptp.permutation_terminates @t3 @t4)))))) true @t144)))) % 1.02/1.28 (assume @p61 (forall @t112 (= (tptp.delete_succeeds @t110 @t109 @t1) (or (exists @t147 (and @t121 @t146 (tptp.delete_succeeds @t110 @t3 @t7))) @t145)))) % 1.02/1.28 (assume @p62 (forall @t112 (= (tptp.delete_fails @t110 @t109 @t1) (and (forall @t147 (or @t126 @t148 (tptp.delete_fails @t110 @t3 @t7))) (not @t145))))) % 1.02/1.28 (assume @p63 (forall @t112 (= (tptp.delete_terminates @t110 @t109 @t1) (and (forall @t147 (and true (or @t126 (and true (or @t148 (tptp.delete_terminates @t110 @t3 @t7)))))) true)))) % 1.02/1.28 (assume @p64 (forall @t132 (= (tptp.length_succeeds @t110 @t109) (or (exists @t130 (and @t152 @t151 (tptp.length_succeeds @t4 @t3))) (and @t138 @t149))))) % 1.02/1.28 (assume @p65 (forall @t132 (= (tptp.length_fails @t110 @t109) (and (forall @t130 (or @t154 @t153 (tptp.length_fails @t4 @t3))) (or @t141 (not @t149)))))) % 1.02/1.28 (assume @p66 (forall @t132 (= (tptp.length_terminates @t110 @t109) (and (forall @t130 (and true (or @t154 (and true (or @t153 (tptp.length_terminates @t4 @t3)))))) true @t144)))) % 1.02/1.28 (assume @p67 (forall @t112 (= (tptp.append_succeeds @t110 @t109 @t1) (or (exists @t147 (and @t156 @t146 (tptp.append_succeeds @t3 @t109 @t7))) (and @t138 @t155))))) % 1.02/1.28 (assume @p68 (forall @t112 (= (tptp.append_fails @t110 @t109 @t1) (and (forall @t147 (or @t158 @t148 (tptp.append_fails @t3 @t109 @t7))) (or @t141 @t157))))) % 1.02/1.28 (assume @p69 (forall @t112 (= (tptp.append_terminates @t110 @t109 @t1) (and (forall @t147 (and true (or @t158 (and true (or @t148 (tptp.append_terminates @t3 @t109 @t7)))))) true @t144)))) % 1.02/1.28 (assume @p70 (forall @t132 (= @t111 (or (exists @t161 (and @t140 (tptp.member_succeeds @t110 @t4))) (exists @t160 @t159))))) % 1.02/1.28 (assume @p71 (forall @t132 (= @t113 (and (forall @t161 (or @t143 (tptp.member_fails @t110 @t4))) (forall @t160 (not @t159)))))) % 1.02/1.28 (assume @p72 (forall @t132 (= @t114 (and (forall @t161 (and true (or @t143 (tptp.member_terminates @t110 @t4)))) (forall @t160 true))))) % 1.02/1.28 (assume @p73 (forall @t166 (= (tptp.list_succeeds @t110) (or (exists @t165 (and @t164 @t162)) @t138)))) % 1.02/1.28 (assume @p74 (forall @t166 (= (tptp.list_fails @t110) (and (forall @t165 (or @t167 (tptp.list_fails @t1))) @t141)))) % 1.02/1.28 (assume @p75 (forall @t166 (= (tptp.list_terminates @t110) (and (forall @t165 (and true (or @t167 (tptp.list_terminates @t1)))) true)))) % 1.02/1.28 (assume @p76 (forall @t166 (= (tptp.nat_list_succeeds @t110) (or (exists @t165 (and @t164 @t168 (tptp.nat_list_succeeds @t1))) @t138)))) % 1.02/1.28 (assume @p77 (forall @t166 (= (tptp.nat_list_fails @t110) (and (forall @t165 (or @t167 @t169 (tptp.nat_list_fails @t1))) @t141)))) % 1.02/1.28 (assume @p78 (forall @t166 (= (tptp.nat_list_terminates @t110) (and (forall @t165 (and true (or @t167 (and @t170 (or @t169 (tptp.nat_list_terminates @t1)))))) true)))) % 1.02/1.28 (assume @p79 (forall @t112 (= (tptp.times_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t173 (tptp.times_succeeds @t4 @t109 @t3) (tptp.plus_succeeds @t109 @t3 @t1))) (and @t171 @t115))))) % 1.02/1.28 (assume @p80 (forall @t112 (= (tptp.times_fails @t110 @t109 @t1) (and (forall @t6 (or @t176 @t175 (tptp.plus_fails @t109 @t3 @t1))) (or @t174 @t122))))) % 1.02/1.28 (assume @p81 (forall @t112 (= (tptp.times_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t176 (and (tptp.times_terminates @t4 @t109 @t3) (or @t175 (tptp.plus_terminates @t109 @t3 @t1)))))) true @t177)))) % 1.02/1.28 (assume @p82 (forall @t112 (= (tptp.plus_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t173 @t178 (tptp.plus_succeeds @t4 @t109 @t3))) (and @t171 @t155))))) % 1.02/1.28 (assume @p83 (forall @t112 (= (tptp.plus_fails @t110 @t109 @t1) (and (forall @t6 (or @t176 @t179 (tptp.plus_fails @t4 @t109 @t3))) (or @t174 @t157))))) % 1.02/1.28 (assume @p84 (forall @t112 (= (tptp.plus_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t176 (and true (or @t179 (tptp.plus_terminates @t4 @t109 @t3)))))) true @t177)))) % 1.02/1.28 (assume @p85 (forall @t132 (= (|tptp.'@=<_succeeds'| @t110 @t109) (or (exists @t161 (and @t181 @t180 (|tptp.'@=<_succeeds'| @t1 @t4))) @t171)))) % 1.02/1.28 (assume @p86 (forall @t132 (= (|tptp.'@=<_fails'| @t110 @t109) (and (forall @t161 (or @t183 @t182 (|tptp.'@=<_fails'| @t1 @t4))) @t174)))) % 1.02/1.28 (assume @p87 (forall @t132 (= (|tptp.'@=<_terminates'| @t110 @t109) (and (forall @t161 (and true (or @t183 (and true (or @t182 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 1.02/1.28 (assume @p88 (forall @t132 (= (|tptp.'@<_succeeds'| @t110 @t109) (or (exists @t161 (and @t181 @t180 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t160 (and @t171 @t151)))))) % 1.02/1.28 (assume @p89 (forall @t132 (= (|tptp.'@<_fails'| @t110 @t109) (and (forall @t161 (or @t183 @t182 (|tptp.'@<_fails'| @t1 @t4))) (forall @t160 (or @t174 @t153)))))) % 1.02/1.28 (assume @p90 (forall @t132 (= (|tptp.'@<_terminates'| @t110 @t109) (and (forall @t161 (and true (or @t183 (and true (or @t182 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t160 (and true @t177)))))) % 1.02/1.28 (assume @p91 (forall @t166 (= @t186 (or (exists @t185 (and @t184 @t168)) @t171)))) % 1.02/1.28 (assume @p92 (forall @t166 (= (tptp.nat_fails @t110) (and (forall @t185 (or @t187 @t169)) @t174)))) % 1.02/1.28 (assume @p93 (forall @t166 (= (tptp.nat_terminates @t110) (and (forall @t185 (and true (or @t187 @t170))) true)))) % 1.02/1.28 (assume @p94 (forall @t190 (=> @t189 (tptp.nat_terminates @t188)))) % 1.02/1.28 (assume @p95 (forall @t190 (=> @t189 @t191))) % 1.02/1.28 (assume @p96 (forall @t195 (=> @t189 @t194))) % 1.02/1.28 (assume @p97 (forall @t195 (=> @t196 @t194))) % 1.02/1.28 (assume @p98 (forall @t195 (=> @t197 @t189))) % 1.02/1.28 (assume @p99 (forall @t195 (=> (and @t197 @t198) @t196))) % 1.02/1.28 (assume @p100 (forall @t195 (=> (and @t197 @t196) @t198))) % 1.02/1.28 (assume @p101 (forall @t195 (=> @t197 @t194))) % 1.02/1.28 (assume @p102 (forall @t195 (=> @t197 @t191))) % 1.02/1.28 (assume @p103 (forall @t195 (=> (and @t197 @t200) @t199))) % 1.02/1.28 (assume @p104 (forall @t195 (=> (and @t197 @t199) @t200))) % 1.02/1.28 (assume @p105 (forall @t202 (=> @t189 (exists @t201 @t197)))) % 1.02/1.28 (assume @p106 (forall @t206 (=> (and (tptp.plus_succeeds @t188 @t193 @t204) (tptp.plus_succeeds @t188 @t193 @t203)) @t205))) % 1.02/1.28 (assume @p107 (forall @t207 (= (|tptp.'@+'| |tptp.'0'| @t193) @t193))) % 1.02/1.28 (assume @p108 (forall @t202 (=> @t189 (= @t210 (tptp.s @t208))))) % 1.02/1.28 (assume @p109 (forall @t202 (=> @t211 (tptp.nat_succeeds @t208)))) % 1.02/1.28 (assume @p110 (forall @t195 (=> @t213 (= (|tptp.'@+'| @t208 @t192) (|tptp.'@+'| @t188 @t212))))) % 1.02/1.28 (assume @p111 (forall @t190 (=> @t189 (= (|tptp.'@+'| @t188 |tptp.'0'|) @t188)))) % 1.02/1.28 (assume @p112 (forall @t202 (=> @t211 (= @t215 @t210)))) % 1.02/1.28 (assume @p113 @t218) % 1.02/1.28 (assume @p114 (forall @t195 (=> (and @t189 (= @t208 @t219)) (= @t193 @t192)))) % 1.02/1.28 (assume @p115 (forall @t195 (=> @t220 @t189))) % 1.02/1.28 (assume @p116 (forall @t195 (=> (and @t220 @t198) @t196))) % 1.02/1.28 (assume @p117 (forall @t195 (=> @t220 @t191))) % 1.02/1.28 (assume @p118 (forall @t195 (=> (and @t220 @t200) @t199))) % 1.02/1.28 (assume @p119 (forall @t195 (=> @t211 (tptp.times_terminates @t188 @t193 @t192)))) % 1.02/1.28 (assume @p120 (forall @t202 (=> @t211 (exists @t201 @t220)))) % 1.02/1.28 (assume @p121 (forall @t206 (=> (and (tptp.times_succeeds @t188 @t193 @t204) (tptp.times_succeeds @t188 @t193 @t203)) @t205))) % 1.02/1.28 (assume @p122 (forall @t207 (=> @t198 (= (|tptp.'@*'| |tptp.'0'| @t193) |tptp.'0'|)))) % 1.02/1.28 (assume @p123 (forall @t202 (=> @t211 (= @t222 (|tptp.'@+'| @t193 @t221))))) % 1.02/1.28 (assume @p124 (forall @t202 (=> @t211 (tptp.nat_succeeds @t221)))) % 1.02/1.28 (assume @p125 (forall @t195 (=> @t213 (= (|tptp.'@*'| @t208 @t192) (|tptp.'@+'| @t224 @t223))))) % 1.02/1.28 (assume @p126 (forall @t195 (=> @t213 (= (|tptp.'@*'| @t221 @t192) (|tptp.'@*'| @t188 @t223))))) % 1.02/1.28 (assume @p127 (forall @t190 (=> @t189 (= (|tptp.'@*'| @t188 |tptp.'0'|) |tptp.'0'|)))) % 1.02/1.28 (assume @p128 (forall (@list @t193 @t188) (=> (and @t198 @t189) (= (|tptp.'@+'| @t225 @t193) (|tptp.'@*'| @t193 @t209))))) % 1.02/1.28 (assume @p129 (forall @t202 (=> @t211 (= @t221 @t225)))) % 1.02/1.28 (assume @p130 (forall @t190 (=> @t189 (= (|tptp.'@*'| @t226 @t188) @t188)))) % 1.02/1.28 (assume @p131 (forall @t190 (=> @t189 (= (|tptp.'@*'| @t188 @t226) @t188)))) % 1.02/1.28 (assume @p132 (forall @t195 (=> @t213 (= (|tptp.'@*'| @t192 @t208) (|tptp.'@+'| (|tptp.'@*'| @t192 @t188) (|tptp.'@*'| @t192 @t193)))))) % 1.02/1.28 (assume @p133 (forall @t202 (=> @t189 @t227))) % 1.02/1.28 (assume @p134 (forall @t202 (=> @t198 @t227))) % 1.02/1.28 (assume @p135 (forall @t202 (=> @t228 @t189))) % 1.02/1.28 (assume @p136 (forall @t202 (=> @t228 (exists @t201 (= @t193 @t229))))) % 1.02/1.28 (assume @p137 (forall @t195 (=> (and @t228 (|tptp.'@<_succeeds'| @t193 @t229)) @t230))) % 1.02/1.28 (assume @p138 (forall @t202 (=> @t228 @t231))) % 1.02/1.28 (assume @p139 (forall @t195 (=> (and @t228 @t232) @t230))) % 1.02/1.28 (assume @p140 (forall @t190 (=> @t189 (|tptp.'@<_fails'| @t188 @t188)))) % 1.02/1.28 (assume @p141 (forall @t190 (=> @t189 (not (|tptp.'@<_succeeds'| @t188 @t188))))) % 1.02/1.28 (assume @p142 (forall @t190 (=> @t189 (|tptp.'@<_succeeds'| @t188 @t209)))) % 1.02/1.28 (assume @p143 (forall @t202 (=> (and @t198 @t231) @t234))) % 1.02/1.28 (assume @p144 (forall @t202 (=> @t211 (or @t228 @t233 (|tptp.'@<_succeeds'| @t193 @t188))))) % 1.02/1.28 (assume @p145 (forall @t190 (=> (and @t189 @t235) (|tptp.'@<_succeeds'| |tptp.'0'| @t188)))) % 1.02/1.28 (assume @p146 (forall @t202 (=> @t189 (|tptp.'@=<_terminates'| @t188 @t193)))) % 1.02/1.28 (assume @p147 (forall @t202 (=> @t236 @t189))) % 1.02/1.28 (assume @p148 (forall @t202 (=> @t236 (exists @t201 (tptp.plus_succeeds @t188 @t192 @t193))))) % 1.02/1.28 (assume @p149 (forall @t202 (=> @t236 (exists @t201 (= @t219 @t193))))) % 1.02/1.28 (assume @p150 (forall @t202 (=> @t228 (exists @t201 (tptp.plus_succeeds @t188 @t229 @t193))))) % 1.02/1.28 (assume @p151 (forall @t202 (=> @t228 (exists @t201 (= (|tptp.'@+'| @t188 @t229) @t193))))) % 1.02/1.28 (assume @p152 (forall @t202 (=> @t228 @t236))) % 1.02/1.28 (assume @p153 (forall @t190 (=> @t189 (|tptp.'@=<_succeeds'| @t188 @t188)))) % 1.02/1.28 (assume @p154 (forall @t202 (=> @t211 (or @t236 @t237)))) % 1.02/1.28 (assume @p155 (forall @t202 (=> @t211 (or @t228 @t237)))) % 1.02/1.28 (assume @p156 (forall @t202 (=> (and @t189 @t198 (|tptp.'@=<_fails'| @t188 @t193)) @t237))) % 1.02/1.28 (assume @p157 (forall @t202 (=> (and @t236 @t198) @t234))) % 1.02/1.28 (assume @p158 (forall @t195 (=> (and @t236 @t232) @t230))) % 1.02/1.28 (assume @p159 (forall @t195 (=> (and @t228 @t238) @t230))) % 1.02/1.28 (assume @p160 (forall @t195 (=> (and @t236 @t238) (|tptp.'@=<_succeeds'| @t188 @t192)))) % 1.02/1.28 (assume @p161 (forall @t202 (=> (and @t236 @t237) @t233))) % 1.02/1.28 (assume @p162 (forall @t190 (=> @t189 (|tptp.'@=<_succeeds'| @t188 @t209)))) % 1.02/1.28 (assume @p163 (forall @t190 (=> @t189 (|tptp.'@=<_fails'| @t209 @t188)))) % 1.02/1.28 (assume @p164 (forall @t195 (=> (and @t189 @t232) @t239))) % 1.02/1.28 (assume @p165 (forall @t202 (=> @t189 (|tptp.'@<_succeeds'| @t188 @t215)))) % 1.02/1.28 (assume @p166 (forall @t195 (=> (and @t228 @t198 @t196) @t240))) % 1.02/1.28 (assume @p167 (forall @t202 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t193) @t189 @t198) (|tptp.'@<_succeeds'| @t188 @t216)))) % 1.02/1.28 (assume @p168 (forall @t195 (=> (and @t189 @t238) @t241))) % 1.02/1.28 (assume @p169 (forall @t195 (=> @t242 (|tptp.'@=<_succeeds'| @t219 @t212)))) % 1.02/1.28 (assume @p170 (forall @t202 (=> @t189 (|tptp.'@=<_succeeds'| @t188 @t208)))) % 1.02/1.28 (assume @p171 (forall @t202 (=> @t211 (|tptp.'@=<_succeeds'| @t193 @t208)))) % 1.02/1.28 (assume @p172 (forall @t195 (=> (and @t189 @t239) @t232))) % 1.02/1.28 (assume @p173 (forall @t195 (=> (and @t189 @t198 @t196 @t240) @t228))) % 1.02/1.28 (assume @p174 (forall @t195 (=> (and @t189 @t241) @t238))) % 1.02/1.28 (assume @p175 (forall @t250 (=> (and @t249 @t248 @t247) (|tptp.'@=<_succeeds'| @t246 @t245)))) % 1.02/1.28 (assume @p176 (forall @t250 (=> (and @t252 @t248 @t247) @t251))) % 1.02/1.28 (assume @p177 (forall @t250 (=> (and @t249 @t253 @t247) @t251))) % 1.02/1.28 (assume @p178 (forall @t250 (=> (and @t252 @t253 @t247) @t251))) % 1.02/1.28 (assume @p179 (forall @t195 (=> (and @t189 @t238 @t196) (|tptp.'@=<_succeeds'| @t221 @t224)))) % 1.02/1.28 (assume @p180 (forall @t195 (=> @t242 (|tptp.'@=<_succeeds'| @t224 @t223)))) % 1.02/1.28 (assume @p181 (forall @t195 (=> (and @t189 @t235 @t232 @t196) (|tptp.'@<_succeeds'| @t221 @t224)))) % 1.02/1.28 (assume @p182 (forall @t195 (=> (and @t189 @t198 @t196 (|tptp.'@=<_succeeds'| @t222 (|tptp.'@*'| @t209 @t192))) @t238))) % 1.02/1.28 (assume @p183 (forall (@list @t110 @t109 @t193) (=> (and @t186 @t168 @t198 (= (|tptp.'@+'| @t110 @t193) (|tptp.'@+'| @t109 @t193))) (= @t110 @t109)))) % 1.02/1.28 (assume @p184 (forall @t190 (tptp.list_succeeds (tptp.cons @t188 tptp.nil)))) % 1.02/1.28 (assume @p185 (forall @t202 (tptp.list_succeeds (tptp.cons @t188 (tptp.cons @t193 tptp.nil))))) % 1.02/1.28 (assume @p186 (forall @t195 (tptp.list_succeeds (tptp.cons @t188 (tptp.cons @t193 (tptp.cons @t192 tptp.nil)))))) % 1.02/1.28 (assume @p187 (forall @t257 (=> (tptp.list_succeeds @t256) @t255))) % 1.02/1.28 (assume @p188 (forall @t258 (=> @t255 (tptp.list_terminates @t254)))) % 1.02/1.28 (assume @p189 (forall @t257 (=> @t255 (tptp.member_terminates @t188 @t254)))) % 1.02/1.28 (assume @p190 (forall @t257 (=> @t255 (or @t260 @t259)))) % 1.02/1.28 (assume @p191 (forall @t257 (=> (and @t260 @t261) @t191))) % 1.02/1.28 (assume @p192 (forall (@list @t188 @t193 @t192 @t254) (=> (and (tptp.member_succeeds @t188 @t263) @t262) @t260))) % 1.02/1.28 (assume @p193 (forall @t269 (=> @t268 @t265))) % 1.02/1.28 (assume @p194 (forall @t269 (=> (and @t268 @t271) @t270))) % 1.02/1.28 (assume @p195 (forall @t269 (=> @t272 @t271))) % 1.02/1.28 (assume @p196 (forall @t269 (=> @t272 @t273))) % 1.02/1.28 (assume @p197 (forall @t269 (=> @t265 @t274))) % 1.02/1.28 (assume @p198 (forall @t269 (=> @t270 @t274))) % 1.02/1.28 (assume @p199 (forall @t269 (=> (and @t268 @t277 @t276) @t275))) % 1.02/1.28 (assume @p200 (forall @t269 (=> (and @t268 @t275) @t278))) % 1.02/1.28 (assume @p201 (forall @t279 (=> @t265 (exists (@list @t266) @t268)))) % 1.02/1.28 (assume @p202 (forall @t281 (=> (and @t268 (tptp.append_succeeds @t264 @t267 @t280)) (= @t266 @t280)))) % 1.02/1.28 (assume @p203 (forall @t258 (= (|tptp.'**'| tptp.nil @t254) @t254))) % 1.02/1.28 (assume @p204 (forall @t284 (=> @t265 (= (|tptp.'**'| @t283 @t267) (tptp.cons @t188 @t282))))) % 1.02/1.28 (assume @p205 @t286) % 1.02/1.28 (assume @p206 (forall @t279 (=> (and @t265 @t285) @t271))) % 1.02/1.28 (assume @p207 (forall @t279 (=> (and @t265 @t277 @t276) @t287))) % 1.02/1.28 (assume @p208 (forall @t279 (=> (and @t265 @t287) @t278))) % 1.02/1.28 (assume @p209 (forall @t269 (=> @t273 (= (|tptp.'**'| @t282 @t266) (|tptp.'**'| @t264 @t288))))) % 1.02/1.28 (assume @p210 (forall @t258 (=> @t255 (= (|tptp.'**'| @t254 tptp.nil) @t254)))) % 1.02/1.28 (assume @p211 (forall @t293 (=> @t292 @t291))) % 1.02/1.28 (assume @p212 (forall @t293 (=> @t255 (tptp.length_terminates @t254 @t289)))) % 1.02/1.28 (assume @p213 (forall @t293 (=> @t292 @t294))) % 1.02/1.28 (assume @p214 (forall @t258 (=> @t255 (exists @t295 @t292)))) % 1.02/1.28 (assume @p215 (forall (@list @t254 @t296 @t289) (=> (and (tptp.length_succeeds @t254 @t296) @t292) @t297))) % 1.02/1.28 (assume @p216 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 1.02/1.28 (assume @p217 (forall @t257 (=> @t255 (= @t299 (tptp.s @t298))))) % 1.02/1.28 (assume @p218 (forall @t258 (=> @t255 (tptp.nat_succeeds @t298)))) % 1.02/1.28 (assume @p219 (forall @t258 (=> (and @t255 (= @t298 |tptp.'0'|)) @t300))) % 1.02/1.28 (assume @p220 (forall (@list @t289 @t264) (=> (and @t265 (= @t303 @t302)) (exists (@list @t188 @t267) (= @t264 @t301))))) % 1.02/1.28 (assume @p221 (forall @t279 (=> @t273 (= @t306 @t305)))) % 1.02/1.28 (assume @p222 (forall @t279 (=> @t273 (|tptp.'@=<_succeeds'| @t303 @t306)))) % 1.02/1.28 (assume @p223 (forall @t279 (=> @t273 (|tptp.'@=<_succeeds'| @t304 @t306)))) % 1.02/1.28 (assume @p224 (forall @t257 (=> @t255 (|tptp.'@=<_succeeds'| @t298 @t299)))) % 1.02/1.28 (assume @p225 (forall @t269 (=> @t272 (= @t305 @t307)))) % 1.02/1.28 (assume @p226 (forall @t269 (=> @t272 (|tptp.'@=<_succeeds'| @t303 @t307)))) % 1.02/1.28 (assume @p227 (forall @t269 (=> @t272 (|tptp.'@=<_succeeds'| @t304 @t307)))) % 1.02/1.28 (assume @p228 (forall (@list @t188 @t308) (tptp.sub @t308 @t309))) % 1.02/1.28 (assume @p229 (forall @t258 (tptp.sub @t254 @t254))) % 1.02/1.28 (assume @p230 (forall (@list @t308 @t311 @t310) (=> (and @t312 (tptp.sub @t311 @t310)) (tptp.sub @t308 @t310)))) % 1.02/1.28 (assume @p231 (forall @t258 (tptp.sub tptp.nil @t254))) % 1.02/1.28 (assume @p232 (forall @t313 (=> (and @t312 (tptp.member_succeeds @t188 @t311)) (tptp.sub @t309 @t311)))) % 1.02/1.28 (assume @p233 (forall @t313 (=> @t312 (tptp.sub @t309 (tptp.cons @t188 @t311))))) % 1.02/1.28 (assume @p234 (forall (@list @t188 @t266) (=> @t315 (exists @t279 @t314)))) % 1.02/1.28 (assume @p235 (forall @t317 (=> (and @t268 @t316) @t315))) % 1.02/1.28 (assume @p236 (forall @t317 (=> (and @t268 @t318) @t315))) % 1.02/1.28 (assume @p237 (forall @t284 (=> (and @t316 @t265) @t319))) % 1.02/1.28 (assume @p238 (forall @t284 (=> (and @t318 @t265) @t319))) % 1.02/1.28 (assume @p239 (forall @t317 (=> @t314 @t315))) % 1.02/1.28 (assume @p240 (forall @t317 (=> (and @t268 @t315) @t320))) % 1.02/1.28 (assume @p241 (forall @t284 (=> (and @t265 @t319) @t320))) % 1.02/1.28 (assume @p242 (forall @t279 (=> @t265 (tptp.sub @t264 @t282)))) % 1.02/1.28 (assume @p243 (forall @t279 (=> @t265 (tptp.sub @t267 @t282)))) % 1.02/1.28 (assume @p244 (forall @t317 (=> @t272 (not (= @t267 (tptp.cons @t188 @t266)))))) % 1.02/1.28 (assume @p245 (forall @t279 (=> (and (tptp.append_succeeds @t264 @t267 @t267) @t271) @t321))) % 1.02/1.28 (assume @p246 (forall @t281 (=> (and @t268 (tptp.append_succeeds @t280 @t267 @t266) @t270) (= @t264 @t280)))) % 1.02/1.28 (assume @p247 (forall @t269 (=> (and @t265 @t271 @t270 (= (|tptp.'**'| @t264 @t266) @t288)) (= @t264 @t267)))) % 1.02/1.28 (assume @p248 (forall @t281 (=> (and @t268 (tptp.append_succeeds @t264 @t280 @t266)) (= @t267 @t280)))) % 1.02/1.28 (assume @p249 (forall @t258 (=> @t322 @t255))) % 1.02/1.28 (assume @p250 (forall @t258 (=> @t322 (tptp.nat_list_terminates @t254)))) % 1.02/1.28 (assume @p251 (forall @t190 (=> (tptp.nat_list_succeeds @t188) @t191))) % 1.02/1.28 (assume @p252 (forall (@list @t188 @t264 @t267 @t289) (=> (and @t265 @t271 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t283) @t304) @t302)) @t323))) % 1.02/1.28 (assume @p253 (forall (@list @t264 @t193 @t267 @t289) (=> (and @t265 @t271 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t303 (tptp.lh (tptp.cons @t193 @t267))) @t302)) @t323))) % 1.02/1.28 (assume @p254 (forall @t284 (=> @t265 @t324))) % 1.02/1.28 (assume @p255 (forall @t284 (=> @t271 @t324))) % 1.02/1.28 (assume @p256 (forall @t284 (=> @t326 @t271))) % 1.02/1.28 (assume @p257 (forall @t284 (=> (and @t325 @t271) @t265))) % 1.02/1.28 (assume @p258 (forall @t284 (=> @t326 (= @t303 (tptp.s @t304))))) % 1.02/1.28 (assume @p259 (forall @t284 (=> @t265 (tptp.delete_succeeds @t188 (|tptp.'**'| @t264 @t301) @t282)))) % 1.02/1.28 (assume @p260 (forall @t284 (=> @t325 (exists (@list @t266 @t280) (and @t270 (= @t264 (|tptp.'**'| @t266 (tptp.cons @t188 @t280))) (= @t267 @t327)))))) % 1.02/1.28 (assume @p261 (forall @t284 (=> (and @t325 (tptp.nat_list_succeeds @t264)) (and @t189 (tptp.nat_list_succeeds @t267))))) % 1.02/1.28 (assume @p262 (forall @t284 (=> (and @t325 @t277) (and @t191 @t276)))) % 1.02/1.28 (assume @p263 (forall @t330 (=> (and @t325 @t329) (or @t328 (= @t193 @t188))))) % 1.02/1.28 (assume @p264 (forall @t284 (=> @t325 @t316))) % 1.02/1.28 (assume @p265 (forall @t330 (=> (and @t325 @t328) @t329))) % 1.02/1.28 (assume @p266 (forall (@list @t188 @t264) (=> @t316 @t332))) % 1.02/1.28 (assume @p267 (forall @t330 (=> (and @t325 @t329 @t262) @t328))) % 1.02/1.28 (assume @p268 (forall @t195 (=> @t189 (= (= @t208 @t192) @t197)))) % 1.02/1.28 (assume @p269 (forall @t195 (=> @t211 (= (= @t221 @t192) @t220)))) % 1.02/1.28 (assume @p270 (forall @t269 (=> @t265 (= (= @t282 @t266) @t268)))) % 1.02/1.28 (assume @p271 (forall @t293 (=> @t255 (= (= @t298 @t289) @t292)))) % 1.02/1.28 (assume @p272 (forall @t279 (= (tptp.sub @t264 @t267) (forall @t190 (=> @t316 @t318))))) % 1.02/1.28 (assume @p273 (forall (@list @t188 @t254 @t296) (=> @t255 (= (= @t334 @t296) @t333)))) % 1.02/1.28 (assume @p274 (forall @t279 (=> @t335 @t273))) % 1.02/1.28 (assume @p275 (forall (@list @t289 @t264 @t267) (=> (and @t290 @t265 (= @t303 @t289)) @t336))) % 1.02/1.28 (assume @p276 (forall @t279 (=> @t265 @t336))) % 1.02/1.28 (assume @p277 (forall @t284 (=> @t273 (tptp.member2_terminates @t188 @t264 @t267)))) % 1.02/1.28 (assume @p278 (forall @t337 (=> (and @t255 @t261 @t191) (tptp.occ_terminates @t188 @t254 @t289)))) % 1.02/1.28 (assume @p279 (forall @t284 (=> (and (tptp.member2_succeeds @t188 @t264 @t267) @t277 @t276) @t191))) % 1.02/1.28 (assume @p280 (forall @t337 (=> @t338 @t294))) % 1.02/1.28 (assume @p281 (forall @t279 (=> @t339 (tptp.not_same_occ_terminates @t264 @t267)))) % 1.02/1.28 (assume @p282 (forall @t279 (=> @t339 (tptp.same_occ_terminates @t264 @t267)))) % 1.02/1.28 (assume @p283 (forall @t337 (=> @t338 @t291))) % 1.02/1.28 (assume @p284 (forall @t257 (=> @t255 (exists @t295 @t338)))) % 1.02/1.28 (assume @p285 (forall (@list @t188 @t254 @t296 @t289) (=> (and @t333 @t338) @t297))) % 1.02/1.28 (assume @p286 (forall @t190 (= (tptp.occ @t188 tptp.nil) |tptp.'0'|))) % 1.02/1.28 (assume @p287 (forall (@list @t188 @t193 @t254) (=> (and @t255 @t262) (= (tptp.occ @t188 @t263) @t334)))) % 1.02/1.28 (assume @p288 (forall @t257 (=> @t255 (= (tptp.occ @t188 @t256) (tptp.s @t334))))) % 1.02/1.28 (assume @p289 @t341) % 1.02/1.28 (assume @p290 @t345) % 1.02/1.28 (assume @p291 (forall @t330 (=> (and @t265 @t325 @t262) (= (tptp.occ @t193 @t264) (tptp.occ @t193 @t267))))) % 1.02/1.28 (assume @p292 (forall @t284 (=> (and @t265 @t325) (= @t343 (tptp.s @t342))))) % 1.02/1.28 (assume @p293 (forall @t279 (=> @t335 @t346))) % 1.02/1.28 (assume @p294 (forall @t279 (=> (and @t335 @t277 @t276) @t347))) % 1.02/1.28 (assume @p295 (forall @t258 (=> (and @t255 (forall @t190 @t348)) @t300))) % 1.02/1.28 (assume @p296 (forall (@list @t188 @t264 @t289) (=> (and @t265 (= @t343 @t302)) @t332))) % 1.02/1.28 (assume @p297 @t353) % 1.02/1.28 (assume @p298 (forall @t279 (=> (and @t271 @t265 @t346) @t335))) % 1.02/1.28 (assume @p299 (forall @t257 (=> (and @t255 @t259) @t348))) % 1.02/1.28 (assume @p300 (forall @t279 (=> @t354 @t346))) % 1.02/1.28 (assume @p301 (forall @t279 (=> @t354 @t335))) % 1.02/1.28 (assume @p302 (forall @t258 (=> @t255 (tptp.permutation_succeeds @t254 @t254)))) % 1.02/1.28 (assume @p303 (forall @t279 (=> @t335 (tptp.permutation_succeeds @t267 @t264)))) % 1.02/1.28 (assume @p304 (forall @t269 (=> (and @t335 (tptp.permutation_succeeds @t267 @t266)) @t355))) % 1.02/1.28 (assume @p305 (forall @t281 (=> (and @t355 (tptp.permutation_succeeds @t267 @t280)) (tptp.permutation_succeeds @t282 @t327)))) % 1.02/1.28 (assume @p306 (=> (forall @t350 (=> (or (exists @t165 (and (= @t264 @t163) @t162 (forall @t331 (=> @t271 (tptp.permutation_succeeds (|tptp.'**'| @t1 @t267) (|tptp.'**'| @t267 @t1)))))) @t321) @t357)) (forall @t350 (=> @t265 @t357)))) % 1.02/1.28 (assume @p307 @t359) % 1.02/1.28 (assume @p308 true) % 1.02/1.28 (step @p309 :rule evaluate :args ((= false true))) % 1.02/1.28 (step @p310 :rule aci_norm :args ((= (or @t362 @t344) (or @t361 @t360 @t344)))) % 1.02/1.28 (step @p311 :rule refl :args (@t344)) % 1.02/1.28 (step @p312 :rule bool-and-de-morgan :args (@t265 @t271 true)) % 1.02/1.28 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t363 @t344))) % 1.02/1.28 (step @p314 :rule trans :premises (@p313 @p310)) % 1.02/1.28 (step @p315 :rule bool-impl-elim :args (@t273 @t344)) % 1.02/1.28 (step @p316 :rule trans :premises (@p315 @p314)) % 1.02/1.28 (step @p317 :rule cong :premises (@p316) :args (@t345)) % 1.02/1.28 (step @p318 :rule eq_resolve :premises (@p290 @p317)) % 1.02/1.28 (step @p319 :rule instantiate :premises (@p318) :args ((@list @t371 @t367 @t366))) % 1.02/1.28 (step @p320 :rule aci_norm :args ((= (or @t362 @t356) @t372))) % 1.02/1.28 (step @p321 :rule refl :args (@t356)) % 1.02/1.28 (step @p322 :rule nary_cong :premises (@p312 @p321) :args ((or @t363 @t356))) % 1.02/1.28 (step @p323 :rule trans :premises (@p322 @p320)) % 1.02/1.28 (step @p324 :rule bool-impl-elim :args (@t273 @t356)) % 1.02/1.28 (step @p325 :rule trans :premises (@p324 @p323)) % 1.02/1.28 (step @p326 :rule cong :premises (@p325) :args (@t358)) % 1.02/1.28 (step @p327 :rule cong :premises (@p326) :args (@t359)) % 1.02/1.28 (step @p328 :rule eq_resolve :premises (@p307 @p327)) % 1.02/1.28 (step @p329 :rule alpha_equiv :args ((forall (@list @t373 @t374) (or (not (tptp.list_succeeds @t373)) (not (tptp.list_succeeds @t374)) (tptp.permutation_succeeds (|tptp.'**'| @t373 @t374) (|tptp.'**'| @t374 @t373)))) @t375 (@list @t264 @t267))) % 1.02/1.28 (step @p330 :rule alpha_equiv :args (@t365 (@list @t264 @t364) @t375)) % 1.02/1.28 (step @p331 :rule trans :premises (@p330 @p329)) % 1.02/1.28 (step @p332 :rule equiv_elim1 :premises (@p331)) % 1.02/1.28 (step @p333 :rule reordering :premises (@p332) :args ((or @t377 @t376))) % 1.02/1.28 (step @p334 :rule chain_m_resolution :premises (@p333 @p328) :args (@t376 @t378 (@list @t377))) % 1.02/1.28 (step @p335 :rule skolemize :premises (@p334)) % 1.02/1.28 (step @p336 :rule bool-double-not-elim :args (@t379)) % 1.02/1.28 (step @p337 :rule refl :args (@t384)) % 1.02/1.28 (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or @t384 (not @t381)))) % 1.02/1.28 (step @p339 :rule cnf_or_neg :args (@t384 1)) % 1.02/1.28 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 1.02/1.28 (step @p341 :rule reordering :premises (@p340) :args ((or @t379 @t384))) % 1.02/1.28 (step @p342 :rule chain_m_resolution :premises (@p341 @p335) :args (@t379 @t378 @t385)) % 1.02/1.28 (step @p343 :rule bool-double-not-elim :args (@t382)) % 1.02/1.28 (step @p344 :rule nary_cong :premises (@p337 @p343) :args ((or @t384 (not @t383)))) % 1.02/1.28 (step @p345 :rule cnf_or_neg :args (@t384 0)) % 1.02/1.28 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 1.02/1.28 (step @p347 :rule reordering :premises (@p346) :args ((or @t382 @t384))) % 1.02/1.28 (step @p348 :rule chain_m_resolution :premises (@p347 @p335) :args (@t382 @t378 @t385)) % 1.02/1.28 (step @p349 :rule cnf_or_pos :args (@t390)) % 1.02/1.28 (step @p350 :rule reordering :premises (@p349) :args ((or @t383 @t381 @t389 (not @t390)))) % 1.02/1.28 (step @p351 :rule chain_m_resolution :premises (@p350 @p348 @p342 @p319) :args (@t389 @t391 (@list @t382 @t379 @t390))) % 1.02/1.28 (step @p352 :rule symm :premises (@p351)) % 1.02/1.28 (step @p353 :rule aci_norm :args ((= (or (or @t393 @t392) @t217) (or @t393 @t392 @t217)))) % 1.02/1.28 (step @p354 :rule refl :args (@t217)) % 1.02/1.28 (step @p355 :rule bool-and-de-morgan :args (@t189 @t198 true)) % 1.02/1.28 (step @p356 :rule nary_cong :premises (@p355 @p354) :args ((or (not @t211) @t217))) % 1.02/1.28 (step @p357 :rule trans :premises (@p356 @p353)) % 1.02/1.28 (step @p358 :rule bool-impl-elim :args (@t211 @t217)) % 1.02/1.28 (step @p359 :rule trans :premises (@p358 @p357)) % 1.02/1.28 (step @p360 :rule cong :premises (@p359) :args (@t218)) % 1.02/1.28 (step @p361 :rule eq_resolve :premises (@p113 @p360)) % 1.02/1.28 (step @p362 :rule instantiate :premises (@p361) :args ((@list @t387 @t386))) % 1.02/1.28 (step @p363 :rule bool-impl-elim :args (@t255 @t340)) % 1.02/1.28 (step @p364 :rule cong :premises (@p363) :args (@t341)) % 1.02/1.28 (step @p365 :rule eq_resolve :premises (@p289 @p364)) % 1.02/1.28 (step @p366 :rule instantiate :premises (@p365) :args ((@list @t371 @t366))) % 1.02/1.28 (step @p367 :rule cnf_or_pos :args (@t395)) % 1.02/1.28 (step @p368 :rule reordering :premises (@p367) :args ((or @t381 @t394 (not @t395)))) % 1.02/1.28 (step @p369 :rule chain_m_resolution :premises (@p368 @p342 @p366) :args (@t394 @t396 (@list @t379 @t395))) % 1.02/1.28 (step @p370 :rule instantiate :premises (@p365) :args ((@list @t371 @t367))) % 1.02/1.28 (step @p371 :rule cnf_or_pos :args (@t398)) % 1.02/1.28 (step @p372 :rule reordering :premises (@p371) :args ((or @t383 @t397 (not @t398)))) % 1.02/1.28 (step @p373 :rule chain_m_resolution :premises (@p372 @p348 @p370) :args (@t397 @t396 (@list @t382 @t398))) % 1.02/1.28 (step @p374 :rule cnf_or_pos :args (@t403)) % 1.02/1.28 (step @p375 :rule reordering :premises (@p374) :args ((or @t402 @t401 @t400 (not @t403)))) % 1.02/1.28 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p369 @p362) :args (@t400 @t391 (@list @t397 @t394 @t403))) % 1.02/1.28 (step @p377 :rule symm :premises (@p376)) % 1.02/1.28 (step @p378 :rule instantiate :premises (@p318) :args ((@list @t371 @t366 @t367))) % 1.02/1.28 (step @p379 :rule cnf_or_pos :args (@t405)) % 1.02/1.28 (step @p380 :rule reordering :premises (@p379) :args ((or @t383 @t381 @t404 (not @t405)))) % 1.02/1.28 (step @p381 :rule chain_m_resolution :premises (@p380 @p348 @p342 @p378) :args (@t404 @t391 (@list @t382 @t379 @t405))) % 1.02/1.28 (step @p382 :rule trans :premises (@p381 @p377 @p352)) % 1.02/1.28 (step @p383 :rule true_intro :premises (@p382)) % 1.02/1.28 (step @p384 :rule refl :args (@t407)) % 1.02/1.28 (step @p385 :rule eq-symm :args (@t408 @t342)) % 1.02/1.28 (step @p386 :rule cong :premises (@p385) :args (@t409)) % 1.02/1.28 (step @p387 :rule cong :premises (@p386) :args (@t410)) % 1.02/1.28 (step @p388 :rule refl :args (@t411)) % 1.02/1.28 (step @p389 :rule refl :args (@t360)) % 1.02/1.28 (step @p390 :rule nary_cong :premises (@p389 @p388 @p387 @p384) :args (@t412)) % 1.02/1.28 (step @p391 :rule aci_norm :args ((= @t414 @t412))) % 1.02/1.28 (step @p392 :rule trans :premises (@p391 @p390)) % 1.02/1.28 (step @p393 :rule cong :premises (@p392) :args (@t415)) % 1.02/1.28 (step @p394 :rule quant-merge-prenex :args ((= (forall @t331 @t417) @t415))) % 1.02/1.28 (step @p395 :rule alpha_equiv :args (@t418 (@list @t406) (@list @t264))) % 1.02/1.28 (step @p396 :rule refl :args (@t360)) % 1.02/1.28 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t419)) % 1.02/1.28 (step @p398 :rule quant-miniscope-or :args ((= @t417 @t419))) % 1.02/1.28 (step @p399 :rule trans :premises (@p398 @p397)) % 1.02/1.28 (step @p400 :rule symm :premises (@p399)) % 1.02/1.28 (step @p401 :rule cong :premises (@p400) :args ((forall @t331 (or @t360 @t422)))) % 1.02/1.28 (step @p402 :rule trans :premises (@p401 @p394)) % 1.02/1.28 (step @p403 :rule trans :premises (@p402 @p393)) % 1.02/1.28 (step @p404 :rule bool-impl-elim :args (@t271 @t422)) % 1.02/1.28 (step @p405 :rule cong :premises (@p404) :args ((forall @t331 (=> @t271 @t422)))) % 1.02/1.28 (step @p406 :rule trans :premises (@p405 @p403)) % 1.02/1.28 (step @p407 :rule aci_norm :args ((= (or (or @t361 @t420) @t335) @t421))) % 1.02/1.28 (step @p408 :rule refl :args (@t335)) % 1.02/1.28 (step @p409 :rule bool-and-de-morgan :args (@t265 @t346 true)) % 1.02/1.28 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or (not @t349) @t335))) % 1.02/1.28 (step @p411 :rule trans :premises (@p410 @p407)) % 1.02/1.28 (step @p412 :rule bool-impl-elim :args (@t349 @t335)) % 1.02/1.28 (step @p413 :rule trans :premises (@p412 @p411)) % 1.02/1.28 (step @p414 :rule cong :premises (@p413) :args (@t351)) % 1.02/1.28 (step @p415 :rule refl :args (@t271)) % 1.02/1.28 (step @p416 :rule cong :premises (@p415 @p414) :args (@t352)) % 1.02/1.28 (step @p417 :rule cong :premises (@p416) :args (@t353)) % 1.02/1.28 (step @p418 :rule trans :premises (@p417 @p406)) % 1.02/1.28 (step @p419 :rule eq_resolve :premises (@p297 @p418)) % 1.02/1.28 (step @p420 :rule instantiate :premises (@p419) :args ((@list @t369 @t368))) % 1.02/1.28 (step @p421 :rule aci_norm :args ((= (or @t362 @t285) (or @t361 @t360 @t285)))) % 1.02/1.28 (step @p422 :rule refl :args (@t285)) % 1.02/1.28 (step @p423 :rule nary_cong :premises (@p312 @p422) :args ((or @t363 @t285))) % 1.02/1.28 (step @p424 :rule trans :premises (@p423 @p421)) % 1.02/1.28 (step @p425 :rule bool-impl-elim :args (@t273 @t285)) % 1.02/1.28 (step @p426 :rule trans :premises (@p425 @p424)) % 1.02/1.28 (step @p427 :rule cong :premises (@p426) :args (@t286)) % 1.02/1.28 (step @p428 :rule eq_resolve :premises (@p205 @p427)) % 1.02/1.28 (step @p429 :rule instantiate :premises (@p428) :args ((@list @t367 @t366))) % 1.02/1.28 (step @p430 :rule cnf_or_pos :args (@t424)) % 1.02/1.28 (step @p431 :rule reordering :premises (@p430) :args ((or @t383 @t381 @t423 (not @t424)))) % 1.02/1.28 (step @p432 :rule chain_m_resolution :premises (@p431 @p348 @p342 @p429) :args (@t423 @t391 (@list @t382 @t379 @t424))) % 1.02/1.28 (step @p433 :rule instantiate :premises (@p428) :args ((@list @t366 @t367))) % 1.02/1.28 (step @p434 :rule cnf_or_pos :args (@t426)) % 1.02/1.28 (step @p435 :rule reordering :premises (@p434) :args ((or @t383 @t381 @t425 (not @t426)))) % 1.02/1.28 (step @p436 :rule chain_m_resolution :premises (@p435 @p348 @p342 @p433) :args (@t425 @t391 (@list @t382 @t379 @t426))) % 1.02/1.28 (step @p437 :rule cnf_or_neg :args (@t384 2)) % 1.02/1.28 (step @p438 :rule chain_m_resolution :premises (@p437 @p335) :args ((not @t380) @t378 @t385)) % 1.02/1.28 (step @p439 :rule cnf_or_pos :args (@t430)) % 1.02/1.28 (step @p440 :rule reordering :premises (@p439) :args ((or @t380 @t429 @t428 @t427 (not @t430)))) % 1.02/1.28 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p436 @p432 @p420) :args (@t427 (@list true false false false) (@list @t380 @t425 @t423 @t430))) % 1.02/1.28 (step @p442 :rule skolemize :premises (@p441)) % 1.02/1.28 (step @p443 :rule false_intro :premises (@p442)) % 1.02/1.28 (step @p444 :rule symm :premises (@p443)) % 1.02/1.28 (step @p445 :rule trans :premises (@p444 @p383)) % 1.02/1.28 (step @p446 false :rule eq_resolve :premises (@p445 @p309)) % 1.02/1.28 ) % 1.02/1.28 % SZS output end Proof % 1.02/1.28 % cvc5 exiting %------------------------------------------------------------------------------