%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX057+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 1.13s 1.35s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX057+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:54:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.56 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.35 % SZS status Theorem % 1.13/1.35 % SZS output start Proof % 1.13/1.35 ( % 1.13/1.35 (declare-sort $$unsorted 0) % 1.13/1.35 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.35 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.35 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.gr (-> $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 1.13/1.35 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 1.13/1.35 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.35 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'0'| $$unsorted) % 1.13/1.35 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.nil $$unsorted) % 1.13/1.35 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.35 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.35 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.35 (define @t1 () (@var "Xx3" $$unsorted)) % 1.13/1.35 (define @t2 () (tptp.s @t1)) % 1.13/1.35 (define @t3 () (@var "Xx5" $$unsorted)) % 1.13/1.35 (define @t4 () (@var "Xx4" $$unsorted)) % 1.13/1.35 (define @t5 () (tptp.cons @t4 @t3)) % 1.13/1.35 (define @t6 () (@list @t4 @t3)) % 1.13/1.35 (define @t7 () (@var "Xx6" $$unsorted)) % 1.13/1.35 (define @t8 () (@var "Xx8" $$unsorted)) % 1.13/1.35 (define @t9 () (@var "Xx7" $$unsorted)) % 1.13/1.35 (define @t10 () (@var "Xx10" $$unsorted)) % 1.13/1.35 (define @t11 () (@var "Xx9" $$unsorted)) % 1.13/1.35 (define @t12 () (@var "Xx13" $$unsorted)) % 1.13/1.35 (define @t13 () (@var "Xx12" $$unsorted)) % 1.13/1.35 (define @t14 () (@var "Xx11" $$unsorted)) % 1.13/1.35 (define @t15 () (@var "Xx17" $$unsorted)) % 1.13/1.35 (define @t16 () (@var "Xx15" $$unsorted)) % 1.13/1.35 (define @t17 () (@var "Xx16" $$unsorted)) % 1.13/1.35 (define @t18 () (@var "Xx14" $$unsorted)) % 1.13/1.35 (define @t19 () (@var "Xx20" $$unsorted)) % 1.13/1.35 (define @t20 () (@var "Xx18" $$unsorted)) % 1.13/1.35 (define @t21 () (@var "Xx21" $$unsorted)) % 1.13/1.35 (define @t22 () (@var "Xx19" $$unsorted)) % 1.13/1.35 (define @t23 () (@var "Xx22" $$unsorted)) % 1.13/1.35 (define @t24 () (@var "Xx24" $$unsorted)) % 1.13/1.35 (define @t25 () (@var "Xx23" $$unsorted)) % 1.13/1.35 (define @t26 () (@var "Xx27" $$unsorted)) % 1.13/1.35 (define @t27 () (@var "Xx26" $$unsorted)) % 1.13/1.35 (define @t28 () (@var "Xx25" $$unsorted)) % 1.13/1.35 (define @t29 () (tptp.member2_fails @t28 @t27 @t26)) % 1.13/1.35 (define @t30 () (tptp.member2_succeeds @t28 @t27 @t26)) % 1.13/1.35 (define @t31 () (@list @t28 @t27 @t26)) % 1.13/1.35 (define @t32 () (@var "Xx30" $$unsorted)) % 1.13/1.35 (define @t33 () (@var "Xx29" $$unsorted)) % 1.13/1.35 (define @t34 () (@var "Xx28" $$unsorted)) % 1.13/1.35 (define @t35 () (tptp.occ_fails @t34 @t33 @t32)) % 1.13/1.35 (define @t36 () (tptp.occ_succeeds @t34 @t33 @t32)) % 1.13/1.35 (define @t37 () (@list @t34 @t33 @t32)) % 1.13/1.35 (define @t38 () (@var "Xx32" $$unsorted)) % 1.13/1.35 (define @t39 () (@var "Xx31" $$unsorted)) % 1.13/1.35 (define @t40 () (tptp.not_same_occ_fails @t39 @t38)) % 1.13/1.35 (define @t41 () (tptp.not_same_occ_succeeds @t39 @t38)) % 1.13/1.35 (define @t42 () (@list @t39 @t38)) % 1.13/1.35 (define @t43 () (@var "Xx34" $$unsorted)) % 1.13/1.35 (define @t44 () (@var "Xx33" $$unsorted)) % 1.13/1.35 (define @t45 () (tptp.same_occ_fails @t44 @t43)) % 1.13/1.35 (define @t46 () (tptp.same_occ_succeeds @t44 @t43)) % 1.13/1.35 (define @t47 () (@list @t44 @t43)) % 1.13/1.35 (define @t48 () (@var "Xx36" $$unsorted)) % 1.13/1.35 (define @t49 () (@var "Xx35" $$unsorted)) % 1.13/1.35 (define @t50 () (tptp.permutation_fails @t49 @t48)) % 1.13/1.35 (define @t51 () (tptp.permutation_succeeds @t49 @t48)) % 1.13/1.35 (define @t52 () (@list @t49 @t48)) % 1.13/1.35 (define @t53 () (@var "Xx39" $$unsorted)) % 1.13/1.35 (define @t54 () (@var "Xx38" $$unsorted)) % 1.13/1.35 (define @t55 () (@var "Xx37" $$unsorted)) % 1.13/1.35 (define @t56 () (tptp.delete_fails @t55 @t54 @t53)) % 1.13/1.35 (define @t57 () (tptp.delete_succeeds @t55 @t54 @t53)) % 1.13/1.35 (define @t58 () (@list @t55 @t54 @t53)) % 1.13/1.35 (define @t59 () (@var "Xx41" $$unsorted)) % 1.13/1.35 (define @t60 () (@var "Xx40" $$unsorted)) % 1.13/1.35 (define @t61 () (tptp.length_fails @t60 @t59)) % 1.13/1.35 (define @t62 () (tptp.length_succeeds @t60 @t59)) % 1.13/1.35 (define @t63 () (@list @t60 @t59)) % 1.13/1.35 (define @t64 () (@var "Xx44" $$unsorted)) % 1.13/1.35 (define @t65 () (@var "Xx43" $$unsorted)) % 1.13/1.35 (define @t66 () (@var "Xx42" $$unsorted)) % 1.13/1.35 (define @t67 () (tptp.append_fails @t66 @t65 @t64)) % 1.13/1.35 (define @t68 () (tptp.append_succeeds @t66 @t65 @t64)) % 1.13/1.35 (define @t69 () (@list @t66 @t65 @t64)) % 1.13/1.35 (define @t70 () (@var "Xx46" $$unsorted)) % 1.13/1.35 (define @t71 () (@var "Xx45" $$unsorted)) % 1.13/1.35 (define @t72 () (tptp.member_fails @t71 @t70)) % 1.13/1.35 (define @t73 () (tptp.member_succeeds @t71 @t70)) % 1.13/1.35 (define @t74 () (@list @t71 @t70)) % 1.13/1.35 (define @t75 () (@var "Xx47" $$unsorted)) % 1.13/1.35 (define @t76 () (tptp.list_fails @t75)) % 1.13/1.35 (define @t77 () (tptp.list_succeeds @t75)) % 1.13/1.35 (define @t78 () (@list @t75)) % 1.13/1.35 (define @t79 () (@var "Xx48" $$unsorted)) % 1.13/1.35 (define @t80 () (tptp.nat_list_fails @t79)) % 1.13/1.35 (define @t81 () (tptp.nat_list_succeeds @t79)) % 1.13/1.35 (define @t82 () (@list @t79)) % 1.13/1.35 (define @t83 () (@var "Xx51" $$unsorted)) % 1.13/1.35 (define @t84 () (@var "Xx50" $$unsorted)) % 1.13/1.35 (define @t85 () (@var "Xx49" $$unsorted)) % 1.13/1.35 (define @t86 () (tptp.times_fails @t85 @t84 @t83)) % 1.13/1.35 (define @t87 () (tptp.times_succeeds @t85 @t84 @t83)) % 1.13/1.35 (define @t88 () (@list @t85 @t84 @t83)) % 1.13/1.35 (define @t89 () (@var "Xx54" $$unsorted)) % 1.13/1.35 (define @t90 () (@var "Xx53" $$unsorted)) % 1.13/1.35 (define @t91 () (@var "Xx52" $$unsorted)) % 1.13/1.35 (define @t92 () (tptp.plus_fails @t91 @t90 @t89)) % 1.13/1.35 (define @t93 () (tptp.plus_succeeds @t91 @t90 @t89)) % 1.13/1.35 (define @t94 () (@list @t91 @t90 @t89)) % 1.13/1.35 (define @t95 () (@var "Xx56" $$unsorted)) % 1.13/1.35 (define @t96 () (@var "Xx55" $$unsorted)) % 1.13/1.35 (define @t97 () (|tptp.'@=<_fails'| @t96 @t95)) % 1.13/1.35 (define @t98 () (|tptp.'@=<_succeeds'| @t96 @t95)) % 1.13/1.35 (define @t99 () (@list @t96 @t95)) % 1.13/1.35 (define @t100 () (@var "Xx58" $$unsorted)) % 1.13/1.35 (define @t101 () (@var "Xx57" $$unsorted)) % 1.13/1.35 (define @t102 () (|tptp.'@<_fails'| @t101 @t100)) % 1.13/1.35 (define @t103 () (|tptp.'@<_succeeds'| @t101 @t100)) % 1.13/1.35 (define @t104 () (@list @t101 @t100)) % 1.13/1.35 (define @t105 () (@var "Xx59" $$unsorted)) % 1.13/1.35 (define @t106 () (tptp.nat_fails @t105)) % 1.13/1.35 (define @t107 () (tptp.nat_succeeds @t105)) % 1.13/1.35 (define @t108 () (@list @t105)) % 1.13/1.35 (define @t109 () (@var "Xx2" $$unsorted)) % 1.13/1.35 (define @t110 () (@var "Xx1" $$unsorted)) % 1.13/1.35 (define @t111 () (tptp.member_succeeds @t110 @t109)) % 1.13/1.35 (define @t112 () (@list @t110 @t109 @t1)) % 1.13/1.35 (define @t113 () (tptp.member_fails @t110 @t109)) % 1.13/1.35 (define @t114 () (tptp.member_terminates @t110 @t109)) % 1.13/1.35 (define @t115 () (= @t1 |tptp.'0'|)) % 1.13/1.35 (define @t116 () (= @t109 tptp.nil)) % 1.13/1.35 (define @t117 () (= @t1 (tptp.s @t9))) % 1.13/1.35 (define @t118 () (= @t109 (tptp.cons @t110 @t7))) % 1.13/1.35 (define @t119 () (@list @t7 @t9)) % 1.13/1.35 (define @t120 () (= @t110 @t4)) % 1.13/1.35 (define @t121 () (= @t109 @t5)) % 1.13/1.35 (define @t122 () (not @t115)) % 1.13/1.35 (define @t123 () (not @t116)) % 1.13/1.35 (define @t124 () (not @t117)) % 1.13/1.35 (define @t125 () (not @t118)) % 1.13/1.35 (define @t126 () (not @t121)) % 1.13/1.35 (define @t127 () (tptp.gr @t4)) % 1.13/1.35 (define @t128 () (tptp.gr @t110)) % 1.13/1.35 (define @t129 () (= @t4 @t3)) % 1.13/1.35 (define @t130 () (@list @t1 @t4 @t3)) % 1.13/1.35 (define @t131 () (tptp.not_same_occ_succeeds @t110 @t109)) % 1.13/1.35 (define @t132 () (@list @t110 @t109)) % 1.13/1.35 (define @t133 () (tptp.occ_fails @t1 @t109 @t3)) % 1.13/1.35 (define @t134 () (tptp.occ_fails @t1 @t110 @t4)) % 1.13/1.35 (define @t135 () (tptp.member2_fails @t1 @t110 @t109)) % 1.13/1.35 (define @t136 () (tptp.not_same_occ_fails @t110 @t109)) % 1.13/1.35 (define @t137 () (tptp.not_same_occ_terminates @t110 @t109)) % 1.13/1.35 (define @t138 () (= @t110 tptp.nil)) % 1.13/1.35 (define @t139 () (tptp.permutation_succeeds @t3 @t4)) % 1.13/1.35 (define @t140 () (tptp.cons @t1 @t4)) % 1.13/1.35 (define @t141 () (= @t109 @t140)) % 1.13/1.35 (define @t142 () (not @t138)) % 1.13/1.35 (define @t143 () (tptp.delete_fails @t1 @t110 @t3)) % 1.13/1.35 (define @t144 () (not @t141)) % 1.13/1.35 (define @t145 () (or @t142 true)) % 1.13/1.35 (define @t146 () (= @t109 (tptp.cons @t110 @t1))) % 1.13/1.35 (define @t147 () (= @t1 (tptp.cons @t4 @t7))) % 1.13/1.35 (define @t148 () (@list @t4 @t3 @t7)) % 1.13/1.35 (define @t149 () (not @t147)) % 1.13/1.35 (define @t150 () (= @t109 |tptp.'0'|)) % 1.13/1.35 (define @t151 () (tptp.s @t3)) % 1.13/1.35 (define @t152 () (= @t109 @t151)) % 1.13/1.35 (define @t153 () (= @t110 @t140)) % 1.13/1.35 (define @t154 () (not @t152)) % 1.13/1.35 (define @t155 () (not @t153)) % 1.13/1.35 (define @t156 () (= @t1 @t109)) % 1.13/1.35 (define @t157 () (= @t110 @t5)) % 1.13/1.35 (define @t158 () (not @t156)) % 1.13/1.35 (define @t159 () (not @t157)) % 1.13/1.35 (define @t160 () (= @t109 (tptp.cons @t110 @t3))) % 1.13/1.35 (define @t161 () (@list @t3)) % 1.13/1.35 (define @t162 () (@list @t1 @t4)) % 1.13/1.35 (define @t163 () (= @t110 (tptp.cons @t109 @t1))) % 1.13/1.35 (define @t164 () (@list @t109 @t1)) % 1.13/1.35 (define @t165 () (@list @t110)) % 1.13/1.35 (define @t166 () (not @t163)) % 1.13/1.35 (define @t167 () (tptp.nat_succeeds @t109)) % 1.13/1.35 (define @t168 () (tptp.nat_fails @t109)) % 1.13/1.35 (define @t169 () (tptp.nat_terminates @t109)) % 1.13/1.35 (define @t170 () (= @t110 |tptp.'0'|)) % 1.13/1.35 (define @t171 () (tptp.s @t4)) % 1.13/1.35 (define @t172 () (= @t110 @t171)) % 1.13/1.35 (define @t173 () (not @t170)) % 1.13/1.35 (define @t174 () (tptp.times_fails @t4 @t109 @t3)) % 1.13/1.35 (define @t175 () (not @t172)) % 1.13/1.35 (define @t176 () (or @t173 true)) % 1.13/1.35 (define @t177 () (= @t1 @t151)) % 1.13/1.35 (define @t178 () (not @t177)) % 1.13/1.35 (define @t179 () (= @t109 @t171)) % 1.13/1.35 (define @t180 () (= @t110 @t2)) % 1.13/1.35 (define @t181 () (not @t179)) % 1.13/1.35 (define @t182 () (not @t180)) % 1.13/1.35 (define @t183 () (= @t110 (tptp.s @t109))) % 1.13/1.35 (define @t184 () (@list @t109)) % 1.13/1.35 (define @t185 () (tptp.nat_succeeds @t110)) % 1.13/1.35 (define @t186 () (not @t183)) % 1.13/1.35 (define @t187 () (@var "Xx" $$unsorted)) % 1.13/1.35 (define @t188 () (tptp.nat_succeeds @t187)) % 1.13/1.35 (define @t189 () (@list @t187)) % 1.13/1.35 (define @t190 () (tptp.gr @t187)) % 1.13/1.35 (define @t191 () (@var "Xz" $$unsorted)) % 1.13/1.35 (define @t192 () (@var "Xy" $$unsorted)) % 1.13/1.35 (define @t193 () (tptp.plus_terminates @t187 @t192 @t191)) % 1.13/1.35 (define @t194 () (@list @t187 @t192 @t191)) % 1.13/1.35 (define @t195 () (tptp.nat_succeeds @t191)) % 1.13/1.35 (define @t196 () (tptp.plus_succeeds @t187 @t192 @t191)) % 1.13/1.35 (define @t197 () (tptp.nat_succeeds @t192)) % 1.13/1.35 (define @t198 () (tptp.gr @t191)) % 1.13/1.35 (define @t199 () (tptp.gr @t192)) % 1.13/1.35 (define @t200 () (@list @t191)) % 1.13/1.35 (define @t201 () (@list @t187 @t192)) % 1.13/1.35 (define @t202 () (@var "Xz2" $$unsorted)) % 1.13/1.35 (define @t203 () (@var "Xz1" $$unsorted)) % 1.13/1.35 (define @t204 () (= @t203 @t202)) % 1.13/1.35 (define @t205 () (@list @t187 @t192 @t203 @t202)) % 1.13/1.35 (define @t206 () (@list @t192)) % 1.13/1.35 (define @t207 () (|tptp.'@+'| @t187 @t192)) % 1.13/1.35 (define @t208 () (tptp.s @t187)) % 1.13/1.35 (define @t209 () (|tptp.'@+'| @t208 @t192)) % 1.13/1.35 (define @t210 () (and @t188 @t197)) % 1.13/1.35 (define @t211 () (|tptp.'@+'| @t192 @t191)) % 1.13/1.35 (define @t212 () (and @t188 @t197 @t195)) % 1.13/1.35 (define @t213 () (tptp.s @t192)) % 1.13/1.35 (define @t214 () (|tptp.'@+'| @t187 @t213)) % 1.13/1.35 (define @t215 () (|tptp.'@+'| @t192 @t187)) % 1.13/1.35 (define @t216 () (|tptp.'@+'| @t187 @t191)) % 1.13/1.35 (define @t217 () (tptp.times_succeeds @t187 @t192 @t191)) % 1.13/1.35 (define @t218 () (|tptp.'@*'| @t187 @t192)) % 1.13/1.35 (define @t219 () (|tptp.'@*'| @t208 @t192)) % 1.13/1.35 (define @t220 () (|tptp.'@*'| @t192 @t191)) % 1.13/1.35 (define @t221 () (|tptp.'@*'| @t187 @t191)) % 1.13/1.35 (define @t222 () (|tptp.'@*'| @t192 @t187)) % 1.13/1.35 (define @t223 () (tptp.s |tptp.'0'|)) % 1.13/1.35 (define @t224 () (|tptp.'@<_terminates'| @t187 @t192)) % 1.13/1.35 (define @t225 () (|tptp.'@<_succeeds'| @t187 @t192)) % 1.13/1.35 (define @t226 () (tptp.s @t191)) % 1.13/1.35 (define @t227 () (|tptp.'@<_succeeds'| @t187 @t191)) % 1.13/1.35 (define @t228 () (|tptp.'@<_succeeds'| @t187 @t213)) % 1.13/1.35 (define @t229 () (|tptp.'@<_succeeds'| @t192 @t191)) % 1.13/1.35 (define @t230 () (= @t187 @t192)) % 1.13/1.35 (define @t231 () (or @t225 @t230)) % 1.13/1.35 (define @t232 () (not (= @t187 |tptp.'0'|))) % 1.13/1.35 (define @t233 () (|tptp.'@=<_succeeds'| @t187 @t192)) % 1.13/1.35 (define @t234 () (|tptp.'@=<_succeeds'| @t192 @t187)) % 1.13/1.35 (define @t235 () (|tptp.'@=<_succeeds'| @t192 @t191)) % 1.13/1.35 (define @t236 () (|tptp.'@<_succeeds'| @t207 @t216)) % 1.13/1.35 (define @t237 () (|tptp.'@<_succeeds'| @t216 @t211)) % 1.13/1.35 (define @t238 () (|tptp.'@=<_succeeds'| @t207 @t216)) % 1.13/1.35 (define @t239 () (and @t233 @t197 @t195)) % 1.13/1.35 (define @t240 () (@var "Xy2" $$unsorted)) % 1.13/1.35 (define @t241 () (@var "Xy1" $$unsorted)) % 1.13/1.35 (define @t242 () (|tptp.'@+'| @t241 @t240)) % 1.13/1.35 (define @t243 () (|tptp.'@+'| @t110 @t109)) % 1.13/1.35 (define @t244 () (tptp.nat_succeeds @t241)) % 1.13/1.35 (define @t245 () (|tptp.'@=<_succeeds'| @t109 @t240)) % 1.13/1.35 (define @t246 () (|tptp.'@=<_succeeds'| @t110 @t241)) % 1.13/1.35 (define @t247 () (@list @t110 @t109 @t241 @t240)) % 1.13/1.35 (define @t248 () (|tptp.'@<_succeeds'| @t243 @t242)) % 1.13/1.35 (define @t249 () (|tptp.'@<_succeeds'| @t110 @t241)) % 1.13/1.35 (define @t250 () (|tptp.'@<_succeeds'| @t109 @t240)) % 1.13/1.35 (define @t251 () (@var "Xl" $$unsorted)) % 1.13/1.35 (define @t252 () (tptp.list_succeeds @t251)) % 1.13/1.35 (define @t253 () (tptp.cons @t187 @t251)) % 1.13/1.35 (define @t254 () (@list @t187 @t251)) % 1.13/1.35 (define @t255 () (@list @t251)) % 1.13/1.35 (define @t256 () (tptp.member_fails @t187 @t251)) % 1.13/1.35 (define @t257 () (tptp.member_succeeds @t187 @t251)) % 1.13/1.35 (define @t258 () (tptp.gr @t251)) % 1.13/1.35 (define @t259 () (not @t230)) % 1.13/1.35 (define @t260 () (tptp.cons @t192 @t251)) % 1.13/1.35 (define @t261 () (@var "Xl1" $$unsorted)) % 1.13/1.35 (define @t262 () (tptp.list_succeeds @t261)) % 1.13/1.35 (define @t263 () (@var "Xl3" $$unsorted)) % 1.13/1.35 (define @t264 () (@var "Xl2" $$unsorted)) % 1.13/1.35 (define @t265 () (tptp.append_succeeds @t261 @t264 @t263)) % 1.13/1.35 (define @t266 () (@list @t261 @t264 @t263)) % 1.13/1.35 (define @t267 () (tptp.list_succeeds @t263)) % 1.13/1.35 (define @t268 () (tptp.list_succeeds @t264)) % 1.13/1.35 (define @t269 () (and @t265 @t267)) % 1.13/1.35 (define @t270 () (and @t262 @t268)) % 1.13/1.35 (define @t271 () (tptp.append_terminates @t261 @t264 @t263)) % 1.13/1.35 (define @t272 () (tptp.gr @t263)) % 1.13/1.35 (define @t273 () (tptp.gr @t264)) % 1.13/1.35 (define @t274 () (tptp.gr @t261)) % 1.13/1.35 (define @t275 () (and @t274 @t273)) % 1.13/1.35 (define @t276 () (@list @t261 @t264)) % 1.13/1.35 (define @t277 () (@var "Xl4" $$unsorted)) % 1.13/1.35 (define @t278 () (@list @t261 @t264 @t263 @t277)) % 1.13/1.35 (define @t279 () (|tptp.'**'| @t261 @t264)) % 1.13/1.35 (define @t280 () (tptp.cons @t187 @t261)) % 1.13/1.35 (define @t281 () (@list @t187 @t261 @t264)) % 1.13/1.35 (define @t282 () (tptp.list_succeeds @t279)) % 1.13/1.35 (define @t283 () (forall @t276 (=> @t270 @t282))) % 1.13/1.35 (define @t284 () (tptp.gr @t279)) % 1.13/1.35 (define @t285 () (|tptp.'**'| @t264 @t263)) % 1.13/1.35 (define @t286 () (@var "Xn" $$unsorted)) % 1.13/1.35 (define @t287 () (tptp.nat_succeeds @t286)) % 1.13/1.35 (define @t288 () (and @t252 @t287)) % 1.13/1.35 (define @t289 () (tptp.length_succeeds @t251 @t286)) % 1.13/1.35 (define @t290 () (@list @t251 @t286)) % 1.13/1.35 (define @t291 () (tptp.gr @t286)) % 1.13/1.35 (define @t292 () (@list @t286)) % 1.13/1.35 (define @t293 () (@var "Xm" $$unsorted)) % 1.13/1.35 (define @t294 () (= @t293 @t286)) % 1.13/1.35 (define @t295 () (tptp.lh @t251)) % 1.13/1.35 (define @t296 () (tptp.lh @t253)) % 1.13/1.35 (define @t297 () (= @t251 tptp.nil)) % 1.13/1.35 (define @t298 () (tptp.cons @t187 @t264)) % 1.13/1.35 (define @t299 () (tptp.s @t286)) % 1.13/1.35 (define @t300 () (tptp.lh @t261)) % 1.13/1.35 (define @t301 () (tptp.lh @t264)) % 1.13/1.35 (define @t302 () (|tptp.'@+'| @t300 @t301)) % 1.13/1.35 (define @t303 () (tptp.lh @t279)) % 1.13/1.35 (define @t304 () (tptp.lh @t263)) % 1.13/1.35 (define @t305 () (@var "Xi" $$unsorted)) % 1.13/1.35 (define @t306 () (tptp.cons @t187 @t305)) % 1.13/1.35 (define @t307 () (@var "Xk" $$unsorted)) % 1.13/1.35 (define @t308 () (@var "Xj" $$unsorted)) % 1.13/1.35 (define @t309 () (tptp.sub @t305 @t308)) % 1.13/1.35 (define @t310 () (@list @t187 @t305 @t308)) % 1.13/1.35 (define @t311 () (tptp.append_succeeds @t261 @t298 @t263)) % 1.13/1.35 (define @t312 () (tptp.member_succeeds @t187 @t263)) % 1.13/1.35 (define @t313 () (tptp.member_succeeds @t187 @t261)) % 1.13/1.35 (define @t314 () (@list @t187 @t261 @t264 @t263)) % 1.13/1.35 (define @t315 () (tptp.member_succeeds @t187 @t264)) % 1.13/1.35 (define @t316 () (tptp.member_succeeds @t187 @t279)) % 1.13/1.35 (define @t317 () (or @t313 @t315)) % 1.13/1.35 (define @t318 () (= @t261 tptp.nil)) % 1.13/1.35 (define @t319 () (tptp.nat_list_succeeds @t251)) % 1.13/1.35 (define @t320 () (|tptp.'@<_succeeds'| @t302 @t286)) % 1.13/1.35 (define @t321 () (tptp.delete_terminates @t187 @t261 @t264)) % 1.13/1.35 (define @t322 () (tptp.delete_succeeds @t187 @t261 @t264)) % 1.13/1.35 (define @t323 () (and @t322 @t262)) % 1.13/1.35 (define @t324 () (|tptp.'**'| @t263 @t277)) % 1.13/1.35 (define @t325 () (tptp.member_succeeds @t192 @t264)) % 1.13/1.35 (define @t326 () (tptp.member_succeeds @t192 @t261)) % 1.13/1.35 (define @t327 () (@list @t187 @t192 @t261 @t264)) % 1.13/1.35 (define @t328 () (@list @t264)) % 1.13/1.35 (define @t329 () (exists @t328 @t322)) % 1.13/1.35 (define @t330 () (tptp.occ_succeeds @t187 @t251 @t293)) % 1.13/1.35 (define @t331 () (tptp.occ @t187 @t251)) % 1.13/1.35 (define @t332 () (tptp.permutation_succeeds @t261 @t264)) % 1.13/1.35 (define @t333 () (forall @t276 (=> @t332 @t270))) % 1.13/1.35 (define @t334 () (tptp.permutation_terminates @t261 @t264)) % 1.13/1.35 (define @t335 () (@list @t187 @t251 @t286)) % 1.13/1.35 (define @t336 () (tptp.occ_succeeds @t187 @t251 @t286)) % 1.13/1.35 (define @t337 () (and @t262 @t268 @t274 @t273)) % 1.13/1.35 (define @t338 () (tptp.occ @t187 @t264)) % 1.13/1.35 (define @t339 () (tptp.occ @t187 @t261)) % 1.13/1.35 (define @t340 () (= (tptp.occ @t187 @t279) (|tptp.'@+'| @t339 @t338))) % 1.13/1.35 (define @t341 () (forall @t281 (=> @t270 @t340))) % 1.13/1.35 (define @t342 () (forall @t189 (= @t339 @t338))) % 1.13/1.35 (define @t343 () (forall @t276 (=> @t332 @t342))) % 1.13/1.35 (define @t344 () (tptp.same_occ_succeeds @t261 @t264)) % 1.13/1.35 (define @t345 () (= @t331 |tptp.'0'|)) % 1.13/1.35 (define @t346 () (and @t262 @t342)) % 1.13/1.35 (define @t347 () (@list @t261)) % 1.13/1.35 (define @t348 () (forall @t347 (=> @t346 @t332))) % 1.13/1.35 (define @t349 () (=> @t268 @t348)) % 1.13/1.35 (define @t350 () (forall @t328 @t349)) % 1.13/1.35 (define @t351 () (and @t262 @t268 @t344)) % 1.13/1.35 (define @t352 () (tptp.permutation_succeeds @t264 @t261)) % 1.13/1.35 (define @t353 () (forall @t276 (=> @t332 @t352))) % 1.13/1.35 (define @t354 () (tptp.permutation_succeeds @t261 @t263)) % 1.13/1.35 (define @t355 () (tptp.permutation_succeeds @t279 @t324)) % 1.13/1.35 (define @t356 () (tptp.permutation_succeeds @t264 @t277)) % 1.13/1.35 (define @t357 () (@list @t264 @t277)) % 1.13/1.35 (define @t358 () (forall @t357 (=> @t356 @t355))) % 1.13/1.35 (define @t359 () (@list @t261 @t263)) % 1.13/1.35 (define @t360 () (and @t354 @t356)) % 1.13/1.35 (define @t361 () (forall @t278 (=> @t360 @t355))) % 1.13/1.35 (define @t362 () (not @t361)) % 1.13/1.35 (define @t363 () (@var "BOUND_VARIABLE_10768" $$unsorted)) % 1.13/1.35 (define @t364 () (tptp.permutation_succeeds @t363 @t264)) % 1.13/1.35 (define @t365 () (tptp.occ @t187 @t363)) % 1.13/1.35 (define @t366 () (forall @t189 (= @t365 @t338))) % 1.13/1.35 (define @t367 () (not @t366)) % 1.13/1.35 (define @t368 () (not (tptp.list_succeeds @t363))) % 1.13/1.35 (define @t369 () (not @t268)) % 1.13/1.35 (define @t370 () (or @t369 @t368 @t367 @t364)) % 1.13/1.35 (define @t371 () (or @t368 @t367 @t364)) % 1.13/1.35 (define @t372 () (or @t369 @t371)) % 1.13/1.35 (define @t373 () (forall (@list @t264 @t363) @t372)) % 1.13/1.35 (define @t374 () (@list @t363)) % 1.13/1.35 (define @t375 () (forall @t374 @t372)) % 1.13/1.35 (define @t376 () (forall @t374 @t371)) % 1.13/1.35 (define @t377 () (or @t369 @t376)) % 1.13/1.35 (define @t378 () (not @t342)) % 1.13/1.35 (define @t379 () (not @t262)) % 1.13/1.35 (define @t380 () (or @t379 @t378 @t332)) % 1.13/1.35 (define @t381 () (forall @t347 @t380)) % 1.13/1.35 (define @t382 () (@var "BOUND_VARIABLE_10908" $$unsorted)) % 1.13/1.35 (define @t383 () (@var "BOUND_VARIABLE_10906" $$unsorted)) % 1.13/1.35 (define @t384 () (not @t354)) % 1.13/1.35 (define @t385 () (forall (@list @t261 @t263 @t383 @t382) (or @t384 (not (tptp.permutation_succeeds @t383 @t382)) (tptp.permutation_succeeds (|tptp.'**'| @t261 @t383) (|tptp.'**'| @t263 @t382))))) % 1.13/1.35 (define @t386 () (@quantifiers_skolemize @t385 2)) % 1.13/1.35 (define @t387 () (@quantifiers_skolemize @t385 0)) % 1.13/1.35 (define @t388 () (|tptp.'**'| @t387 @t386)) % 1.13/1.35 (define @t389 () (@quantifiers_skolemize @t385 3)) % 1.13/1.35 (define @t390 () (@quantifiers_skolemize @t385 1)) % 1.13/1.35 (define @t391 () (|tptp.'**'| @t390 @t389)) % 1.13/1.35 (define @t392 () (or @t379 @t369)) % 1.13/1.35 (define @t393 () (not @t270)) % 1.13/1.35 (define @t394 () (@list @t386 @t389)) % 1.13/1.35 (define @t395 () (not @t356)) % 1.13/1.35 (define @t396 () (or @t384 @t395 @t355)) % 1.13/1.35 (define @t397 () (forall @t278 @t396)) % 1.13/1.35 (define @t398 () (@var "BOUND_VARIABLE_13516" $$unsorted)) % 1.13/1.35 (define @t399 () (@var "BOUND_VARIABLE_13514" $$unsorted)) % 1.13/1.35 (define @t400 () (@var "BOUND_VARIABLE_13515" $$unsorted)) % 1.13/1.35 (define @t401 () (@var "BOUND_VARIABLE_13513" $$unsorted)) % 1.13/1.35 (define @t402 () (@list @t401 @t399 @t400 @t398)) % 1.13/1.35 (define @t403 () (not @t385)) % 1.13/1.35 (define @t404 () (@list true)) % 1.13/1.35 (define @t405 () (tptp.permutation_succeeds @t386 @t389)) % 1.13/1.35 (define @t406 () (tptp.permutation_succeeds @t388 @t391)) % 1.13/1.35 (define @t407 () (not @t405)) % 1.13/1.35 (define @t408 () (tptp.permutation_succeeds @t387 @t390)) % 1.13/1.35 (define @t409 () (not @t408)) % 1.13/1.35 (define @t410 () (or @t409 @t407 @t406)) % 1.13/1.35 (define @t411 () (@list @t410)) % 1.13/1.35 (define @t412 () (tptp.list_succeeds @t389)) % 1.13/1.35 (define @t413 () (tptp.list_succeeds @t386)) % 1.13/1.35 (define @t414 () (and @t413 @t412)) % 1.13/1.35 (define @t415 () (or @t407 @t414)) % 1.13/1.35 (define @t416 () (@list false false)) % 1.13/1.35 (define @t417 () (not @t414)) % 1.13/1.35 (define @t418 () (@list false)) % 1.13/1.35 (define @t419 () (@list @t414)) % 1.13/1.35 (define @t420 () (@list @t387 @t390)) % 1.13/1.35 (define @t421 () (tptp.list_succeeds @t390)) % 1.13/1.35 (define @t422 () (tptp.list_succeeds @t387)) % 1.13/1.35 (define @t423 () (and @t422 @t421)) % 1.13/1.35 (define @t424 () (or @t409 @t423)) % 1.13/1.35 (define @t425 () (not @t423)) % 1.13/1.35 (define @t426 () (@list @t423)) % 1.13/1.35 (define @t427 () (tptp.list_succeeds @t391)) % 1.13/1.35 (define @t428 () (not @t412)) % 1.13/1.35 (define @t429 () (not @t421)) % 1.13/1.35 (define @t430 () (or @t429 @t428 @t427)) % 1.13/1.35 (define @t431 () (@list false false false)) % 1.13/1.35 (define @t432 () (tptp.list_succeeds @t388)) % 1.13/1.35 (define @t433 () (not @t413)) % 1.13/1.35 (define @t434 () (not @t422)) % 1.13/1.35 (define @t435 () (or @t434 @t433 @t432)) % 1.13/1.35 (define @t436 () (forall @t189 (= (tptp.occ @t187 @t391) (tptp.occ @t187 @t388)))) % 1.13/1.35 (define @t437 () (not @t436)) % 1.13/1.35 (define @t438 () (not @t432)) % 1.13/1.35 (define @t439 () (not @t427)) % 1.13/1.35 (define @t440 () (or @t439 @t438 @t437 @t406)) % 1.13/1.35 (define @t441 () (@quantifiers_skolemize @t436 0)) % 1.13/1.35 (define @t442 () (tptp.occ @t441 @t386)) % 1.13/1.35 (define @t443 () (tptp.occ @t441 @t387)) % 1.13/1.35 (define @t444 () (tptp.occ @t441 @t388)) % 1.13/1.35 (define @t445 () (= @t444 (|tptp.'@+'| @t443 @t442))) % 1.13/1.35 (define @t446 () (or @t434 @t433 @t445)) % 1.13/1.35 (define @t447 () (tptp.occ @t441 @t389)) % 1.13/1.35 (define @t448 () (tptp.occ @t441 @t390)) % 1.13/1.35 (define @t449 () (|tptp.'@+'| @t448 @t447)) % 1.13/1.35 (define @t450 () (tptp.occ @t441 @t391)) % 1.13/1.35 (define @t451 () (= @t450 @t449)) % 1.13/1.35 (define @t452 () (or @t429 @t428 @t451)) % 1.13/1.35 (define @t453 () (@var "BOUND_VARIABLE_10724" $$unsorted)) % 1.13/1.35 (define @t454 () (= (tptp.occ @t453 @t261) (tptp.occ @t453 @t264))) % 1.13/1.35 (define @t455 () (not @t332)) % 1.13/1.35 (define @t456 () (or @t455 @t454)) % 1.13/1.35 (define @t457 () (forall (@list @t261 @t264 @t453) @t456)) % 1.13/1.35 (define @t458 () (@list @t453)) % 1.13/1.35 (define @t459 () (forall @t458 @t456)) % 1.13/1.35 (define @t460 () (forall @t458 @t454)) % 1.13/1.35 (define @t461 () (or @t455 @t460)) % 1.13/1.35 (define @t462 () (tptp.permutation_succeeds @t389 @t386)) % 1.13/1.35 (define @t463 () (not @t462)) % 1.13/1.35 (define @t464 () (or @t463 (= @t447 @t442))) % 1.13/1.35 (define @t465 () (= @t442 @t447)) % 1.13/1.35 (define @t466 () (or @t463 @t465)) % 1.13/1.35 (define @t467 () (@list @t457)) % 1.13/1.35 (define @t468 () (or @t407 @t462)) % 1.13/1.35 (define @t469 () (tptp.permutation_succeeds @t390 @t387)) % 1.13/1.35 (define @t470 () (not @t469)) % 1.13/1.35 (define @t471 () (or @t470 (= @t448 @t443))) % 1.13/1.35 (define @t472 () (= @t443 @t448)) % 1.13/1.35 (define @t473 () (or @t470 @t472)) % 1.13/1.35 (define @t474 () (or @t409 @t469)) % 1.13/1.35 (define @t475 () (= @t450 @t444)) % 1.13/1.35 (define @t476 () (and @t445 @t451 @t465 @t472)) % 1.13/1.35 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 1.13/1.35 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 1.13/1.35 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 1.13/1.35 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 1.13/1.35 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 1.13/1.35 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 1.13/1.35 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 1.13/1.35 (assume @p8 (forall (@list @t18 @t16 @t17 @t15) (=> (= (tptp.cons @t18 @t16) (tptp.cons @t17 @t15)) (= @t16 @t15)))) % 1.13/1.35 (assume @p9 (forall (@list @t20 @t22 @t19 @t21) (=> (= (tptp.cons @t20 @t22) (tptp.cons @t19 @t21)) (= @t20 @t19)))) % 1.13/1.35 (assume @p10 (tptp.gr |tptp.'0'|)) % 1.13/1.35 (assume @p11 (tptp.gr tptp.nil)) % 1.13/1.35 (assume @p12 (forall (@list @t23) (= (tptp.gr @t23) (tptp.gr (tptp.s @t23))))) % 1.13/1.35 (assume @p13 (forall (@list @t25 @t24) (= (and (tptp.gr @t25) (tptp.gr @t24)) (tptp.gr (tptp.cons @t25 @t24))))) % 1.13/1.35 (assume @p14 (forall @t31 (not (and @t30 @t29)))) % 1.13/1.35 (assume @p15 (forall @t31 (=> (tptp.member2_terminates @t28 @t27 @t26) (or @t30 @t29)))) % 1.13/1.35 (assume @p16 (forall @t37 (not (and @t36 @t35)))) % 1.13/1.35 (assume @p17 (forall @t37 (=> (tptp.occ_terminates @t34 @t33 @t32) (or @t36 @t35)))) % 1.13/1.35 (assume @p18 (forall @t42 (not (and @t41 @t40)))) % 1.13/1.35 (assume @p19 (forall @t42 (=> (tptp.not_same_occ_terminates @t39 @t38) (or @t41 @t40)))) % 1.13/1.35 (assume @p20 (forall @t47 (not (and @t46 @t45)))) % 1.13/1.35 (assume @p21 (forall @t47 (=> (tptp.same_occ_terminates @t44 @t43) (or @t46 @t45)))) % 1.13/1.35 (assume @p22 (forall @t52 (not (and @t51 @t50)))) % 1.13/1.35 (assume @p23 (forall @t52 (=> (tptp.permutation_terminates @t49 @t48) (or @t51 @t50)))) % 1.13/1.35 (assume @p24 (forall @t58 (not (and @t57 @t56)))) % 1.13/1.35 (assume @p25 (forall @t58 (=> (tptp.delete_terminates @t55 @t54 @t53) (or @t57 @t56)))) % 1.13/1.35 (assume @p26 (forall @t63 (not (and @t62 @t61)))) % 1.13/1.35 (assume @p27 (forall @t63 (=> (tptp.length_terminates @t60 @t59) (or @t62 @t61)))) % 1.13/1.35 (assume @p28 (forall @t69 (not (and @t68 @t67)))) % 1.13/1.35 (assume @p29 (forall @t69 (=> (tptp.append_terminates @t66 @t65 @t64) (or @t68 @t67)))) % 1.13/1.35 (assume @p30 (forall @t74 (not (and @t73 @t72)))) % 1.13/1.35 (assume @p31 (forall @t74 (=> (tptp.member_terminates @t71 @t70) (or @t73 @t72)))) % 1.13/1.35 (assume @p32 (forall @t78 (not (and @t77 @t76)))) % 1.13/1.35 (assume @p33 (forall @t78 (=> (tptp.list_terminates @t75) (or @t77 @t76)))) % 1.13/1.35 (assume @p34 (forall @t82 (not (and @t81 @t80)))) % 1.13/1.35 (assume @p35 (forall @t82 (=> (tptp.nat_list_terminates @t79) (or @t81 @t80)))) % 1.13/1.35 (assume @p36 (forall @t88 (not (and @t87 @t86)))) % 1.13/1.35 (assume @p37 (forall @t88 (=> (tptp.times_terminates @t85 @t84 @t83) (or @t87 @t86)))) % 1.13/1.35 (assume @p38 (forall @t94 (not (and @t93 @t92)))) % 1.13/1.35 (assume @p39 (forall @t94 (=> (tptp.plus_terminates @t91 @t90 @t89) (or @t93 @t92)))) % 1.13/1.35 (assume @p40 (forall @t99 (not (and @t98 @t97)))) % 1.13/1.35 (assume @p41 (forall @t99 (=> (|tptp.'@=<_terminates'| @t96 @t95) (or @t98 @t97)))) % 1.13/1.35 (assume @p42 (forall @t104 (not (and @t103 @t102)))) % 1.13/1.35 (assume @p43 (forall @t104 (=> (|tptp.'@<_terminates'| @t101 @t100) (or @t103 @t102)))) % 1.13/1.35 (assume @p44 (forall @t108 (not (and @t107 @t106)))) % 1.13/1.35 (assume @p45 (forall @t108 (=> (tptp.nat_terminates @t105) (or @t107 @t106)))) % 1.13/1.35 (assume @p46 (forall @t112 (= (tptp.member2_succeeds @t110 @t109 @t1) (or (tptp.member_succeeds @t110 @t1) @t111)))) % 1.13/1.35 (assume @p47 (forall @t112 (= (tptp.member2_fails @t110 @t109 @t1) (and (tptp.member_fails @t110 @t1) @t113)))) % 1.13/1.35 (assume @p48 (forall @t112 (= (tptp.member2_terminates @t110 @t109 @t1) (and (tptp.member_terminates @t110 @t1) @t114)))) % 1.13/1.35 (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))))) % 1.13/1.35 (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))))) % 1.13/1.35 (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))))) % 1.13/1.35 (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)))))) % 1.13/1.35 (assume @p53 (forall @t132 (= @t136 (forall @t130 (or @t135 @t134 @t133 @t129))))) % 1.13/1.35 (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)))))))))))) % 1.13/1.35 (assume @p55 (forall @t132 (= (tptp.same_occ_succeeds @t110 @t109) @t136))) % 1.13/1.35 (assume @p56 (forall @t132 (= (tptp.same_occ_fails @t110 @t109) @t131))) % 1.13/1.35 (assume @p57 (forall @t132 (= (tptp.same_occ_terminates @t110 @t109) (and @t137 @t128 (tptp.gr @t109))))) % 1.13/1.35 (assume @p58 (forall @t132 (= (tptp.permutation_succeeds @t110 @t109) (or (exists @t130 (and @t141 (tptp.delete_succeeds @t1 @t110 @t3) @t139)) (and @t138 @t116))))) % 1.13/1.35 (assume @p59 (forall @t132 (= (tptp.permutation_fails @t110 @t109) (and (forall @t130 (or @t144 @t143 (tptp.permutation_fails @t3 @t4))) (or @t142 @t123))))) % 1.13/1.35 (assume @p60 (forall @t132 (= (tptp.permutation_terminates @t110 @t109) (and (forall @t130 (and true (or @t144 (and (tptp.delete_terminates @t1 @t110 @t3) (or @t143 (tptp.permutation_terminates @t3 @t4)))))) true @t145)))) % 1.13/1.35 (assume @p61 (forall @t112 (= (tptp.delete_succeeds @t110 @t109 @t1) (or (exists @t148 (and @t121 @t147 (tptp.delete_succeeds @t110 @t3 @t7))) @t146)))) % 1.13/1.35 (assume @p62 (forall @t112 (= (tptp.delete_fails @t110 @t109 @t1) (and (forall @t148 (or @t126 @t149 (tptp.delete_fails @t110 @t3 @t7))) (not @t146))))) % 1.13/1.35 (assume @p63 (forall @t112 (= (tptp.delete_terminates @t110 @t109 @t1) (and (forall @t148 (and true (or @t126 (and true (or @t149 (tptp.delete_terminates @t110 @t3 @t7)))))) true)))) % 1.13/1.35 (assume @p64 (forall @t132 (= (tptp.length_succeeds @t110 @t109) (or (exists @t130 (and @t153 @t152 (tptp.length_succeeds @t4 @t3))) (and @t138 @t150))))) % 1.13/1.35 (assume @p65 (forall @t132 (= (tptp.length_fails @t110 @t109) (and (forall @t130 (or @t155 @t154 (tptp.length_fails @t4 @t3))) (or @t142 (not @t150)))))) % 1.13/1.35 (assume @p66 (forall @t132 (= (tptp.length_terminates @t110 @t109) (and (forall @t130 (and true (or @t155 (and true (or @t154 (tptp.length_terminates @t4 @t3)))))) true @t145)))) % 1.13/1.35 (assume @p67 (forall @t112 (= (tptp.append_succeeds @t110 @t109 @t1) (or (exists @t148 (and @t157 @t147 (tptp.append_succeeds @t3 @t109 @t7))) (and @t138 @t156))))) % 1.13/1.35 (assume @p68 (forall @t112 (= (tptp.append_fails @t110 @t109 @t1) (and (forall @t148 (or @t159 @t149 (tptp.append_fails @t3 @t109 @t7))) (or @t142 @t158))))) % 1.13/1.35 (assume @p69 (forall @t112 (= (tptp.append_terminates @t110 @t109 @t1) (and (forall @t148 (and true (or @t159 (and true (or @t149 (tptp.append_terminates @t3 @t109 @t7)))))) true @t145)))) % 1.13/1.35 (assume @p70 (forall @t132 (= @t111 (or (exists @t162 (and @t141 (tptp.member_succeeds @t110 @t4))) (exists @t161 @t160))))) % 1.13/1.35 (assume @p71 (forall @t132 (= @t113 (and (forall @t162 (or @t144 (tptp.member_fails @t110 @t4))) (forall @t161 (not @t160)))))) % 1.13/1.35 (assume @p72 (forall @t132 (= @t114 (and (forall @t162 (and true (or @t144 (tptp.member_terminates @t110 @t4)))) (forall @t161 true))))) % 1.13/1.35 (assume @p73 (forall @t165 (= (tptp.list_succeeds @t110) (or (exists @t164 (and @t163 (tptp.list_succeeds @t1))) @t138)))) % 1.13/1.35 (assume @p74 (forall @t165 (= (tptp.list_fails @t110) (and (forall @t164 (or @t166 (tptp.list_fails @t1))) @t142)))) % 1.13/1.35 (assume @p75 (forall @t165 (= (tptp.list_terminates @t110) (and (forall @t164 (and true (or @t166 (tptp.list_terminates @t1)))) true)))) % 1.13/1.35 (assume @p76 (forall @t165 (= (tptp.nat_list_succeeds @t110) (or (exists @t164 (and @t163 @t167 (tptp.nat_list_succeeds @t1))) @t138)))) % 1.13/1.35 (assume @p77 (forall @t165 (= (tptp.nat_list_fails @t110) (and (forall @t164 (or @t166 @t168 (tptp.nat_list_fails @t1))) @t142)))) % 1.13/1.35 (assume @p78 (forall @t165 (= (tptp.nat_list_terminates @t110) (and (forall @t164 (and true (or @t166 (and @t169 (or @t168 (tptp.nat_list_terminates @t1)))))) true)))) % 1.13/1.35 (assume @p79 (forall @t112 (= (tptp.times_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t172 (tptp.times_succeeds @t4 @t109 @t3) (tptp.plus_succeeds @t109 @t3 @t1))) (and @t170 @t115))))) % 1.13/1.35 (assume @p80 (forall @t112 (= (tptp.times_fails @t110 @t109 @t1) (and (forall @t6 (or @t175 @t174 (tptp.plus_fails @t109 @t3 @t1))) (or @t173 @t122))))) % 1.13/1.35 (assume @p81 (forall @t112 (= (tptp.times_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t175 (and (tptp.times_terminates @t4 @t109 @t3) (or @t174 (tptp.plus_terminates @t109 @t3 @t1)))))) true @t176)))) % 1.13/1.35 (assume @p82 (forall @t112 (= (tptp.plus_succeeds @t110 @t109 @t1) (or (exists @t6 (and @t172 @t177 (tptp.plus_succeeds @t4 @t109 @t3))) (and @t170 @t156))))) % 1.13/1.35 (assume @p83 (forall @t112 (= (tptp.plus_fails @t110 @t109 @t1) (and (forall @t6 (or @t175 @t178 (tptp.plus_fails @t4 @t109 @t3))) (or @t173 @t158))))) % 1.13/1.35 (assume @p84 (forall @t112 (= (tptp.plus_terminates @t110 @t109 @t1) (and (forall @t6 (and true (or @t175 (and true (or @t178 (tptp.plus_terminates @t4 @t109 @t3)))))) true @t176)))) % 1.13/1.35 (assume @p85 (forall @t132 (= (|tptp.'@=<_succeeds'| @t110 @t109) (or (exists @t162 (and @t180 @t179 (|tptp.'@=<_succeeds'| @t1 @t4))) @t170)))) % 1.13/1.35 (assume @p86 (forall @t132 (= (|tptp.'@=<_fails'| @t110 @t109) (and (forall @t162 (or @t182 @t181 (|tptp.'@=<_fails'| @t1 @t4))) @t173)))) % 1.13/1.35 (assume @p87 (forall @t132 (= (|tptp.'@=<_terminates'| @t110 @t109) (and (forall @t162 (and true (or @t182 (and true (or @t181 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 1.13/1.35 (assume @p88 (forall @t132 (= (|tptp.'@<_succeeds'| @t110 @t109) (or (exists @t162 (and @t180 @t179 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t161 (and @t170 @t152)))))) % 1.13/1.35 (assume @p89 (forall @t132 (= (|tptp.'@<_fails'| @t110 @t109) (and (forall @t162 (or @t182 @t181 (|tptp.'@<_fails'| @t1 @t4))) (forall @t161 (or @t173 @t154)))))) % 1.13/1.35 (assume @p90 (forall @t132 (= (|tptp.'@<_terminates'| @t110 @t109) (and (forall @t162 (and true (or @t182 (and true (or @t181 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t161 (and true @t176)))))) % 1.13/1.35 (assume @p91 (forall @t165 (= @t185 (or (exists @t184 (and @t183 @t167)) @t170)))) % 1.13/1.35 (assume @p92 (forall @t165 (= (tptp.nat_fails @t110) (and (forall @t184 (or @t186 @t168)) @t173)))) % 1.13/1.35 (assume @p93 (forall @t165 (= (tptp.nat_terminates @t110) (and (forall @t184 (and true (or @t186 @t169))) true)))) % 1.13/1.35 (assume @p94 (forall @t189 (=> @t188 (tptp.nat_terminates @t187)))) % 1.13/1.35 (assume @p95 (forall @t189 (=> @t188 @t190))) % 1.13/1.35 (assume @p96 (forall @t194 (=> @t188 @t193))) % 1.13/1.35 (assume @p97 (forall @t194 (=> @t195 @t193))) % 1.13/1.35 (assume @p98 (forall @t194 (=> @t196 @t188))) % 1.13/1.35 (assume @p99 (forall @t194 (=> (and @t196 @t197) @t195))) % 1.13/1.35 (assume @p100 (forall @t194 (=> (and @t196 @t195) @t197))) % 1.13/1.35 (assume @p101 (forall @t194 (=> @t196 @t193))) % 1.13/1.35 (assume @p102 (forall @t194 (=> @t196 @t190))) % 1.13/1.35 (assume @p103 (forall @t194 (=> (and @t196 @t199) @t198))) % 1.13/1.35 (assume @p104 (forall @t194 (=> (and @t196 @t198) @t199))) % 1.13/1.35 (assume @p105 (forall @t201 (=> @t188 (exists @t200 @t196)))) % 1.13/1.35 (assume @p106 (forall @t205 (=> (and (tptp.plus_succeeds @t187 @t192 @t203) (tptp.plus_succeeds @t187 @t192 @t202)) @t204))) % 1.13/1.35 (assume @p107 (forall @t206 (= (|tptp.'@+'| |tptp.'0'| @t192) @t192))) % 1.13/1.35 (assume @p108 (forall @t201 (=> @t188 (= @t209 (tptp.s @t207))))) % 1.13/1.35 (assume @p109 (forall @t201 (=> @t210 (tptp.nat_succeeds @t207)))) % 1.13/1.35 (assume @p110 (forall @t194 (=> @t212 (= (|tptp.'@+'| @t207 @t191) (|tptp.'@+'| @t187 @t211))))) % 1.13/1.35 (assume @p111 (forall @t189 (=> @t188 (= (|tptp.'@+'| @t187 |tptp.'0'|) @t187)))) % 1.13/1.35 (assume @p112 (forall @t201 (=> @t210 (= @t214 @t209)))) % 1.13/1.35 (assume @p113 (forall @t201 (=> @t210 (= @t207 @t215)))) % 1.13/1.35 (assume @p114 (forall @t194 (=> (and @t188 (= @t207 @t216)) (= @t192 @t191)))) % 1.13/1.35 (assume @p115 (forall @t194 (=> @t217 @t188))) % 1.13/1.35 (assume @p116 (forall @t194 (=> (and @t217 @t197) @t195))) % 1.13/1.35 (assume @p117 (forall @t194 (=> @t217 @t190))) % 1.13/1.35 (assume @p118 (forall @t194 (=> (and @t217 @t199) @t198))) % 1.13/1.35 (assume @p119 (forall @t194 (=> @t210 (tptp.times_terminates @t187 @t192 @t191)))) % 1.13/1.35 (assume @p120 (forall @t201 (=> @t210 (exists @t200 @t217)))) % 1.13/1.35 (assume @p121 (forall @t205 (=> (and (tptp.times_succeeds @t187 @t192 @t203) (tptp.times_succeeds @t187 @t192 @t202)) @t204))) % 1.13/1.35 (assume @p122 (forall @t206 (=> @t197 (= (|tptp.'@*'| |tptp.'0'| @t192) |tptp.'0'|)))) % 1.13/1.35 (assume @p123 (forall @t201 (=> @t210 (= @t219 (|tptp.'@+'| @t192 @t218))))) % 1.13/1.35 (assume @p124 (forall @t201 (=> @t210 (tptp.nat_succeeds @t218)))) % 1.13/1.35 (assume @p125 (forall @t194 (=> @t212 (= (|tptp.'@*'| @t207 @t191) (|tptp.'@+'| @t221 @t220))))) % 1.13/1.35 (assume @p126 (forall @t194 (=> @t212 (= (|tptp.'@*'| @t218 @t191) (|tptp.'@*'| @t187 @t220))))) % 1.13/1.35 (assume @p127 (forall @t189 (=> @t188 (= (|tptp.'@*'| @t187 |tptp.'0'|) |tptp.'0'|)))) % 1.13/1.35 (assume @p128 (forall (@list @t192 @t187) (=> (and @t197 @t188) (= (|tptp.'@+'| @t222 @t192) (|tptp.'@*'| @t192 @t208))))) % 1.13/1.35 (assume @p129 (forall @t201 (=> @t210 (= @t218 @t222)))) % 1.13/1.35 (assume @p130 (forall @t189 (=> @t188 (= (|tptp.'@*'| @t223 @t187) @t187)))) % 1.13/1.35 (assume @p131 (forall @t189 (=> @t188 (= (|tptp.'@*'| @t187 @t223) @t187)))) % 1.13/1.35 (assume @p132 (forall @t194 (=> @t212 (= (|tptp.'@*'| @t191 @t207) (|tptp.'@+'| (|tptp.'@*'| @t191 @t187) (|tptp.'@*'| @t191 @t192)))))) % 1.13/1.35 (assume @p133 (forall @t201 (=> @t188 @t224))) % 1.13/1.35 (assume @p134 (forall @t201 (=> @t197 @t224))) % 1.13/1.35 (assume @p135 (forall @t201 (=> @t225 @t188))) % 1.13/1.35 (assume @p136 (forall @t201 (=> @t225 (exists @t200 (= @t192 @t226))))) % 1.13/1.35 (assume @p137 (forall @t194 (=> (and @t225 (|tptp.'@<_succeeds'| @t192 @t226)) @t227))) % 1.13/1.35 (assume @p138 (forall @t201 (=> @t225 @t228))) % 1.13/1.35 (assume @p139 (forall @t194 (=> (and @t225 @t229) @t227))) % 1.13/1.35 (assume @p140 (forall @t189 (=> @t188 (|tptp.'@<_fails'| @t187 @t187)))) % 1.13/1.35 (assume @p141 (forall @t189 (=> @t188 (not (|tptp.'@<_succeeds'| @t187 @t187))))) % 1.13/1.35 (assume @p142 (forall @t189 (=> @t188 (|tptp.'@<_succeeds'| @t187 @t208)))) % 1.13/1.35 (assume @p143 (forall @t201 (=> (and @t197 @t228) @t231))) % 1.13/1.35 (assume @p144 (forall @t201 (=> @t210 (or @t225 @t230 (|tptp.'@<_succeeds'| @t192 @t187))))) % 1.13/1.35 (assume @p145 (forall @t189 (=> (and @t188 @t232) (|tptp.'@<_succeeds'| |tptp.'0'| @t187)))) % 1.13/1.35 (assume @p146 (forall @t201 (=> @t188 (|tptp.'@=<_terminates'| @t187 @t192)))) % 1.13/1.35 (assume @p147 (forall @t201 (=> @t233 @t188))) % 1.13/1.35 (assume @p148 (forall @t201 (=> @t233 (exists @t200 (tptp.plus_succeeds @t187 @t191 @t192))))) % 1.13/1.35 (assume @p149 (forall @t201 (=> @t233 (exists @t200 (= @t216 @t192))))) % 1.13/1.35 (assume @p150 (forall @t201 (=> @t225 (exists @t200 (tptp.plus_succeeds @t187 @t226 @t192))))) % 1.13/1.35 (assume @p151 (forall @t201 (=> @t225 (exists @t200 (= (|tptp.'@+'| @t187 @t226) @t192))))) % 1.13/1.35 (assume @p152 (forall @t201 (=> @t225 @t233))) % 1.13/1.35 (assume @p153 (forall @t189 (=> @t188 (|tptp.'@=<_succeeds'| @t187 @t187)))) % 1.13/1.35 (assume @p154 (forall @t201 (=> @t210 (or @t233 @t234)))) % 1.13/1.35 (assume @p155 (forall @t201 (=> @t210 (or @t225 @t234)))) % 1.13/1.35 (assume @p156 (forall @t201 (=> (and @t188 @t197 (|tptp.'@=<_fails'| @t187 @t192)) @t234))) % 1.13/1.35 (assume @p157 (forall @t201 (=> (and @t233 @t197) @t231))) % 1.13/1.35 (assume @p158 (forall @t194 (=> (and @t233 @t229) @t227))) % 1.13/1.35 (assume @p159 (forall @t194 (=> (and @t225 @t235) @t227))) % 1.13/1.35 (assume @p160 (forall @t194 (=> (and @t233 @t235) (|tptp.'@=<_succeeds'| @t187 @t191)))) % 1.13/1.35 (assume @p161 (forall @t201 (=> (and @t233 @t234) @t230))) % 1.13/1.35 (assume @p162 (forall @t189 (=> @t188 (|tptp.'@=<_succeeds'| @t187 @t208)))) % 1.13/1.35 (assume @p163 (forall @t189 (=> @t188 (|tptp.'@=<_fails'| @t208 @t187)))) % 1.13/1.35 (assume @p164 (forall @t194 (=> (and @t188 @t229) @t236))) % 1.13/1.35 (assume @p165 (forall @t201 (=> @t188 (|tptp.'@<_succeeds'| @t187 @t214)))) % 1.13/1.35 (assume @p166 (forall @t194 (=> (and @t225 @t197 @t195) @t237))) % 1.13/1.35 (assume @p167 (forall @t201 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t192) @t188 @t197) (|tptp.'@<_succeeds'| @t187 @t215)))) % 1.13/1.35 (assume @p168 (forall @t194 (=> (and @t188 @t235) @t238))) % 1.13/1.35 (assume @p169 (forall @t194 (=> @t239 (|tptp.'@=<_succeeds'| @t216 @t211)))) % 1.13/1.35 (assume @p170 (forall @t201 (=> @t188 (|tptp.'@=<_succeeds'| @t187 @t207)))) % 1.13/1.35 (assume @p171 (forall @t201 (=> @t210 (|tptp.'@=<_succeeds'| @t192 @t207)))) % 1.13/1.35 (assume @p172 (forall @t194 (=> (and @t188 @t236) @t229))) % 1.13/1.35 (assume @p173 (forall @t194 (=> (and @t188 @t197 @t195 @t237) @t225))) % 1.13/1.35 (assume @p174 (forall @t194 (=> (and @t188 @t238) @t235))) % 1.13/1.35 (assume @p175 (forall @t247 (=> (and @t246 @t245 @t244) (|tptp.'@=<_succeeds'| @t243 @t242)))) % 1.13/1.35 (assume @p176 (forall @t247 (=> (and @t249 @t245 @t244) @t248))) % 1.13/1.35 (assume @p177 (forall @t247 (=> (and @t246 @t250 @t244) @t248))) % 1.13/1.35 (assume @p178 (forall @t247 (=> (and @t249 @t250 @t244) @t248))) % 1.13/1.35 (assume @p179 (forall @t194 (=> (and @t188 @t235 @t195) (|tptp.'@=<_succeeds'| @t218 @t221)))) % 1.13/1.35 (assume @p180 (forall @t194 (=> @t239 (|tptp.'@=<_succeeds'| @t221 @t220)))) % 1.13/1.35 (assume @p181 (forall @t194 (=> (and @t188 @t232 @t229 @t195) (|tptp.'@<_succeeds'| @t218 @t221)))) % 1.13/1.35 (assume @p182 (forall @t194 (=> (and @t188 @t197 @t195 (|tptp.'@=<_succeeds'| @t219 (|tptp.'@*'| @t208 @t191))) @t235))) % 1.13/1.35 (assume @p183 (forall (@list @t110 @t109 @t192) (=> (and @t185 @t167 @t197 (= (|tptp.'@+'| @t110 @t192) (|tptp.'@+'| @t109 @t192))) (= @t110 @t109)))) % 1.13/1.35 (assume @p184 (forall @t189 (tptp.list_succeeds (tptp.cons @t187 tptp.nil)))) % 1.13/1.35 (assume @p185 (forall @t201 (tptp.list_succeeds (tptp.cons @t187 (tptp.cons @t192 tptp.nil))))) % 1.13/1.35 (assume @p186 (forall @t194 (tptp.list_succeeds (tptp.cons @t187 (tptp.cons @t192 (tptp.cons @t191 tptp.nil)))))) % 1.13/1.35 (assume @p187 (forall @t254 (=> (tptp.list_succeeds @t253) @t252))) % 1.13/1.35 (assume @p188 (forall @t255 (=> @t252 (tptp.list_terminates @t251)))) % 1.13/1.35 (assume @p189 (forall @t254 (=> @t252 (tptp.member_terminates @t187 @t251)))) % 1.13/1.35 (assume @p190 (forall @t254 (=> @t252 (or @t257 @t256)))) % 1.13/1.35 (assume @p191 (forall @t254 (=> (and @t257 @t258) @t190))) % 1.13/1.35 (assume @p192 (forall (@list @t187 @t192 @t191 @t251) (=> (and (tptp.member_succeeds @t187 @t260) @t259) @t257))) % 1.13/1.35 (assume @p193 (forall @t266 (=> @t265 @t262))) % 1.13/1.35 (assume @p194 (forall @t266 (=> (and @t265 @t268) @t267))) % 1.13/1.35 (assume @p195 (forall @t266 (=> @t269 @t268))) % 1.13/1.35 (assume @p196 (forall @t266 (=> @t269 @t270))) % 1.13/1.35 (assume @p197 (forall @t266 (=> @t262 @t271))) % 1.13/1.35 (assume @p198 (forall @t266 (=> @t267 @t271))) % 1.13/1.35 (assume @p199 (forall @t266 (=> (and @t265 @t274 @t273) @t272))) % 1.13/1.35 (assume @p200 (forall @t266 (=> (and @t265 @t272) @t275))) % 1.13/1.35 (assume @p201 (forall @t276 (=> @t262 (exists (@list @t263) @t265)))) % 1.13/1.35 (assume @p202 (forall @t278 (=> (and @t265 (tptp.append_succeeds @t261 @t264 @t277)) (= @t263 @t277)))) % 1.13/1.35 (assume @p203 (forall @t255 (= (|tptp.'**'| tptp.nil @t251) @t251))) % 1.13/1.35 (assume @p204 (forall @t281 (=> @t262 (= (|tptp.'**'| @t280 @t264) (tptp.cons @t187 @t279))))) % 1.13/1.35 (assume @p205 @t283) % 1.13/1.35 (assume @p206 (forall @t276 (=> (and @t262 @t282) @t268))) % 1.13/1.35 (assume @p207 (forall @t276 (=> (and @t262 @t274 @t273) @t284))) % 1.13/1.35 (assume @p208 (forall @t276 (=> (and @t262 @t284) @t275))) % 1.13/1.35 (assume @p209 (forall @t266 (=> @t270 (= (|tptp.'**'| @t279 @t263) (|tptp.'**'| @t261 @t285))))) % 1.13/1.35 (assume @p210 (forall @t255 (=> @t252 (= (|tptp.'**'| @t251 tptp.nil) @t251)))) % 1.13/1.35 (assume @p211 (forall @t290 (=> @t289 @t288))) % 1.13/1.35 (assume @p212 (forall @t290 (=> @t252 (tptp.length_terminates @t251 @t286)))) % 1.13/1.35 (assume @p213 (forall @t290 (=> @t289 @t291))) % 1.13/1.35 (assume @p214 (forall @t255 (=> @t252 (exists @t292 @t289)))) % 1.13/1.35 (assume @p215 (forall (@list @t251 @t293 @t286) (=> (and (tptp.length_succeeds @t251 @t293) @t289) @t294))) % 1.13/1.35 (assume @p216 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 1.13/1.35 (assume @p217 (forall @t254 (=> @t252 (= @t296 (tptp.s @t295))))) % 1.13/1.35 (assume @p218 (forall @t255 (=> @t252 (tptp.nat_succeeds @t295)))) % 1.13/1.35 (assume @p219 (forall @t255 (=> (and @t252 (= @t295 |tptp.'0'|)) @t297))) % 1.13/1.35 (assume @p220 (forall (@list @t286 @t261) (=> (and @t262 (= @t300 @t299)) (exists (@list @t187 @t264) (= @t261 @t298))))) % 1.13/1.35 (assume @p221 (forall @t276 (=> @t270 (= @t303 @t302)))) % 1.13/1.35 (assume @p222 (forall @t276 (=> @t270 (|tptp.'@=<_succeeds'| @t300 @t303)))) % 1.13/1.35 (assume @p223 (forall @t276 (=> @t270 (|tptp.'@=<_succeeds'| @t301 @t303)))) % 1.13/1.35 (assume @p224 (forall @t254 (=> @t252 (|tptp.'@=<_succeeds'| @t295 @t296)))) % 1.13/1.35 (assume @p225 (forall @t266 (=> @t269 (= @t302 @t304)))) % 1.13/1.35 (assume @p226 (forall @t266 (=> @t269 (|tptp.'@=<_succeeds'| @t300 @t304)))) % 1.13/1.35 (assume @p227 (forall @t266 (=> @t269 (|tptp.'@=<_succeeds'| @t301 @t304)))) % 1.13/1.35 (assume @p228 (forall (@list @t187 @t305) (tptp.sub @t305 @t306))) % 1.13/1.35 (assume @p229 (forall @t255 (tptp.sub @t251 @t251))) % 1.13/1.35 (assume @p230 (forall (@list @t305 @t308 @t307) (=> (and @t309 (tptp.sub @t308 @t307)) (tptp.sub @t305 @t307)))) % 1.13/1.35 (assume @p231 (forall @t255 (tptp.sub tptp.nil @t251))) % 1.13/1.35 (assume @p232 (forall @t310 (=> (and @t309 (tptp.member_succeeds @t187 @t308)) (tptp.sub @t306 @t308)))) % 1.13/1.35 (assume @p233 (forall @t310 (=> @t309 (tptp.sub @t306 (tptp.cons @t187 @t308))))) % 1.13/1.35 (assume @p234 (forall (@list @t187 @t263) (=> @t312 (exists @t276 @t311)))) % 1.13/1.35 (assume @p235 (forall @t314 (=> (and @t265 @t313) @t312))) % 1.13/1.35 (assume @p236 (forall @t314 (=> (and @t265 @t315) @t312))) % 1.13/1.35 (assume @p237 (forall @t281 (=> (and @t313 @t262) @t316))) % 1.13/1.35 (assume @p238 (forall @t281 (=> (and @t315 @t262) @t316))) % 1.13/1.35 (assume @p239 (forall @t314 (=> @t311 @t312))) % 1.13/1.35 (assume @p240 (forall @t314 (=> (and @t265 @t312) @t317))) % 1.13/1.35 (assume @p241 (forall @t281 (=> (and @t262 @t316) @t317))) % 1.13/1.35 (assume @p242 (forall @t276 (=> @t262 (tptp.sub @t261 @t279)))) % 1.13/1.35 (assume @p243 (forall @t276 (=> @t262 (tptp.sub @t264 @t279)))) % 1.13/1.35 (assume @p244 (forall @t314 (=> @t269 (not (= @t264 (tptp.cons @t187 @t263)))))) % 1.13/1.35 (assume @p245 (forall @t276 (=> (and (tptp.append_succeeds @t261 @t264 @t264) @t268) @t318))) % 1.13/1.35 (assume @p246 (forall @t278 (=> (and @t265 (tptp.append_succeeds @t277 @t264 @t263) @t267) (= @t261 @t277)))) % 1.13/1.35 (assume @p247 (forall @t266 (=> (and @t262 @t268 @t267 (= (|tptp.'**'| @t261 @t263) @t285)) (= @t261 @t264)))) % 1.13/1.35 (assume @p248 (forall @t278 (=> (and @t265 (tptp.append_succeeds @t261 @t277 @t263)) (= @t264 @t277)))) % 1.13/1.35 (assume @p249 (forall @t255 (=> @t319 @t252))) % 1.13/1.35 (assume @p250 (forall @t255 (=> @t319 (tptp.nat_list_terminates @t251)))) % 1.13/1.35 (assume @p251 (forall @t189 (=> (tptp.nat_list_succeeds @t187) @t190))) % 1.13/1.35 (assume @p252 (forall (@list @t187 @t261 @t264 @t286) (=> (and @t262 @t268 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t280) @t301) @t299)) @t320))) % 1.13/1.35 (assume @p253 (forall (@list @t261 @t192 @t264 @t286) (=> (and @t262 @t268 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t300 (tptp.lh (tptp.cons @t192 @t264))) @t299)) @t320))) % 1.13/1.35 (assume @p254 (forall @t281 (=> @t262 @t321))) % 1.13/1.35 (assume @p255 (forall @t281 (=> @t268 @t321))) % 1.13/1.35 (assume @p256 (forall @t281 (=> @t323 @t268))) % 1.13/1.35 (assume @p257 (forall @t281 (=> (and @t322 @t268) @t262))) % 1.13/1.35 (assume @p258 (forall @t281 (=> @t323 (= @t300 (tptp.s @t301))))) % 1.13/1.35 (assume @p259 (forall @t281 (=> @t262 (tptp.delete_succeeds @t187 (|tptp.'**'| @t261 @t298) @t279)))) % 1.13/1.35 (assume @p260 (forall @t281 (=> @t322 (exists (@list @t263 @t277) (and @t267 (= @t261 (|tptp.'**'| @t263 (tptp.cons @t187 @t277))) (= @t264 @t324)))))) % 1.13/1.35 (assume @p261 (forall @t281 (=> (and @t322 (tptp.nat_list_succeeds @t261)) (and @t188 (tptp.nat_list_succeeds @t264))))) % 1.13/1.35 (assume @p262 (forall @t281 (=> (and @t322 @t274) (and @t190 @t273)))) % 1.13/1.35 (assume @p263 (forall @t327 (=> (and @t322 @t326) (or @t325 (= @t192 @t187))))) % 1.13/1.35 (assume @p264 (forall @t281 (=> @t322 @t313))) % 1.13/1.35 (assume @p265 (forall @t327 (=> (and @t322 @t325) @t326))) % 1.13/1.35 (assume @p266 (forall (@list @t187 @t261) (=> @t313 @t329))) % 1.13/1.35 (assume @p267 (forall @t327 (=> (and @t322 @t326 @t259) @t325))) % 1.13/1.35 (assume @p268 (forall @t194 (=> @t188 (= (= @t207 @t191) @t196)))) % 1.13/1.35 (assume @p269 (forall @t194 (=> @t210 (= (= @t218 @t191) @t217)))) % 1.13/1.35 (assume @p270 (forall @t266 (=> @t262 (= (= @t279 @t263) @t265)))) % 1.13/1.35 (assume @p271 (forall @t290 (=> @t252 (= (= @t295 @t286) @t289)))) % 1.13/1.35 (assume @p272 (forall @t276 (= (tptp.sub @t261 @t264) (forall @t189 (=> @t313 @t315))))) % 1.13/1.35 (assume @p273 (forall (@list @t187 @t251 @t293) (=> @t252 (= (= @t331 @t293) @t330)))) % 1.13/1.35 (assume @p274 @t333) % 1.13/1.35 (assume @p275 (forall (@list @t286 @t261 @t264) (=> (and @t287 @t262 (= @t300 @t286)) @t334))) % 1.13/1.35 (assume @p276 (forall @t276 (=> @t262 @t334))) % 1.13/1.35 (assume @p277 (forall @t281 (=> @t270 (tptp.member2_terminates @t187 @t261 @t264)))) % 1.13/1.35 (assume @p278 (forall @t335 (=> (and @t252 @t258 @t190) (tptp.occ_terminates @t187 @t251 @t286)))) % 1.13/1.35 (assume @p279 (forall @t281 (=> (and (tptp.member2_succeeds @t187 @t261 @t264) @t274 @t273) @t190))) % 1.13/1.35 (assume @p280 (forall @t335 (=> @t336 @t291))) % 1.13/1.35 (assume @p281 (forall @t276 (=> @t337 (tptp.not_same_occ_terminates @t261 @t264)))) % 1.13/1.35 (assume @p282 (forall @t276 (=> @t337 (tptp.same_occ_terminates @t261 @t264)))) % 1.13/1.35 (assume @p283 (forall @t335 (=> @t336 @t288))) % 1.13/1.35 (assume @p284 (forall @t254 (=> @t252 (exists @t292 @t336)))) % 1.13/1.35 (assume @p285 (forall (@list @t187 @t251 @t293 @t286) (=> (and @t330 @t336) @t294))) % 1.13/1.35 (assume @p286 (forall @t189 (= (tptp.occ @t187 tptp.nil) |tptp.'0'|))) % 1.13/1.35 (assume @p287 (forall (@list @t187 @t192 @t251) (=> (and @t252 @t259) (= (tptp.occ @t187 @t260) @t331)))) % 1.13/1.35 (assume @p288 (forall @t254 (=> @t252 (= (tptp.occ @t187 @t253) (tptp.s @t331))))) % 1.13/1.35 (assume @p289 (forall @t254 (=> @t252 (tptp.nat_succeeds @t331)))) % 1.13/1.35 (assume @p290 @t341) % 1.13/1.35 (assume @p291 (forall @t327 (=> (and @t262 @t322 @t259) (= (tptp.occ @t192 @t261) (tptp.occ @t192 @t264))))) % 1.13/1.35 (assume @p292 (forall @t281 (=> (and @t262 @t322) (= @t339 (tptp.s @t338))))) % 1.13/1.35 (assume @p293 @t343) % 1.13/1.35 (assume @p294 (forall @t276 (=> (and @t332 @t274 @t273) @t344))) % 1.13/1.35 (assume @p295 (forall @t255 (=> (and @t252 (forall @t189 @t345)) @t297))) % 1.13/1.35 (assume @p296 (forall (@list @t187 @t261 @t286) (=> (and @t262 (= @t339 @t299)) @t329))) % 1.13/1.35 (assume @p297 @t350) % 1.13/1.35 (assume @p298 (forall @t276 (=> (and @t268 @t262 @t342) @t332))) % 1.13/1.35 (assume @p299 (forall @t254 (=> (and @t252 @t256) @t345))) % 1.13/1.35 (assume @p300 (forall @t276 (=> @t351 @t342))) % 1.13/1.35 (assume @p301 (forall @t276 (=> @t351 @t332))) % 1.13/1.35 (assume @p302 (forall @t255 (=> @t252 (tptp.permutation_succeeds @t251 @t251)))) % 1.13/1.35 (assume @p303 @t353) % 1.13/1.35 (assume @p304 (forall @t266 (=> (and @t332 (tptp.permutation_succeeds @t264 @t263)) @t354))) % 1.13/1.35 (assume @p305 (=> (forall @t359 (=> (or (exists @t130 (and (= @t263 @t140) (tptp.delete_succeeds @t1 @t261 @t3) @t139 (forall @t357 (=> @t356 (tptp.permutation_succeeds (|tptp.'**'| @t3 @t264) (|tptp.'**'| @t4 @t277)))))) (and @t318 (= @t263 tptp.nil))) @t358)) (forall @t359 (=> @t354 @t358)))) % 1.13/1.35 (assume @p306 @t362) % 1.13/1.35 (assume @p307 true) % 1.13/1.35 (step @p308 :rule refl :args (@t364)) % 1.13/1.35 (step @p309 :rule eq-symm :args (@t365 @t338)) % 1.13/1.35 (step @p310 :rule cong :premises (@p309) :args (@t366)) % 1.13/1.35 (step @p311 :rule cong :premises (@p310) :args (@t367)) % 1.13/1.35 (step @p312 :rule refl :args (@t368)) % 1.13/1.35 (step @p313 :rule refl :args (@t369)) % 1.13/1.35 (step @p314 :rule nary_cong :premises (@p313 @p312 @p311 @p308) :args (@t370)) % 1.13/1.35 (step @p315 :rule aci_norm :args ((= @t372 @t370))) % 1.13/1.35 (step @p316 :rule trans :premises (@p315 @p314)) % 1.13/1.35 (step @p317 :rule cong :premises (@p316) :args (@t373)) % 1.13/1.35 (step @p318 :rule quant-merge-prenex :args ((= (forall @t328 @t375) @t373))) % 1.13/1.35 (step @p319 :rule alpha_equiv :args (@t376 (@list @t363) (@list @t261))) % 1.13/1.35 (step @p320 :rule refl :args (@t369)) % 1.13/1.35 (step @p321 :rule nary_cong :premises (@p320 @p319) :args (@t377)) % 1.13/1.35 (step @p322 :rule quant-miniscope-or :args ((= @t375 @t377))) % 1.13/1.35 (step @p323 :rule trans :premises (@p322 @p321)) % 1.13/1.35 (step @p324 :rule symm :premises (@p323)) % 1.13/1.35 (step @p325 :rule cong :premises (@p324) :args ((forall @t328 (or @t369 @t381)))) % 1.13/1.35 (step @p326 :rule trans :premises (@p325 @p318)) % 1.13/1.35 (step @p327 :rule trans :premises (@p326 @p317)) % 1.13/1.35 (step @p328 :rule bool-impl-elim :args (@t268 @t381)) % 1.13/1.35 (step @p329 :rule cong :premises (@p328) :args ((forall @t328 (=> @t268 @t381)))) % 1.13/1.35 (step @p330 :rule trans :premises (@p329 @p327)) % 1.13/1.35 (step @p331 :rule aci_norm :args ((= (or (or @t379 @t378) @t332) @t380))) % 1.13/1.35 (step @p332 :rule refl :args (@t332)) % 1.13/1.35 (step @p333 :rule bool-and-de-morgan :args (@t262 @t342 true)) % 1.13/1.35 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or (not @t346) @t332))) % 1.13/1.35 (step @p335 :rule trans :premises (@p334 @p331)) % 1.13/1.35 (step @p336 :rule bool-impl-elim :args (@t346 @t332)) % 1.13/1.35 (step @p337 :rule trans :premises (@p336 @p335)) % 1.13/1.35 (step @p338 :rule cong :premises (@p337) :args (@t348)) % 1.13/1.35 (step @p339 :rule refl :args (@t268)) % 1.13/1.35 (step @p340 :rule cong :premises (@p339 @p338) :args (@t349)) % 1.13/1.35 (step @p341 :rule cong :premises (@p340) :args (@t350)) % 1.13/1.35 (step @p342 :rule trans :premises (@p341 @p330)) % 1.13/1.35 (step @p343 :rule eq_resolve :premises (@p297 @p342)) % 1.13/1.35 (step @p344 :rule instantiate :premises (@p343) :args ((@list @t391 @t388))) % 1.13/1.35 (step @p345 :rule aci_norm :args ((= (or @t392 @t282) (or @t379 @t369 @t282)))) % 1.13/1.35 (step @p346 :rule refl :args (@t282)) % 1.13/1.35 (step @p347 :rule bool-and-de-morgan :args (@t262 @t268 true)) % 1.13/1.35 (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or @t393 @t282))) % 1.13/1.35 (step @p349 :rule trans :premises (@p348 @p345)) % 1.13/1.35 (step @p350 :rule bool-impl-elim :args (@t270 @t282)) % 1.13/1.35 (step @p351 :rule trans :premises (@p350 @p349)) % 1.13/1.35 (step @p352 :rule cong :premises (@p351) :args (@t283)) % 1.13/1.35 (step @p353 :rule eq_resolve :premises (@p205 @p352)) % 1.13/1.35 (step @p354 :rule instantiate :premises (@p353) :args ((@list @t390 @t389))) % 1.13/1.35 (step @p355 :rule bool-impl-elim :args (@t332 @t270)) % 1.13/1.35 (step @p356 :rule cong :premises (@p355) :args (@t333)) % 1.13/1.35 (step @p357 :rule eq_resolve :premises (@p274 @p356)) % 1.13/1.35 (step @p358 :rule instantiate :premises (@p357) :args (@t394)) % 1.13/1.35 (step @p359 :rule aci_norm :args ((= (or (or @t384 @t395) @t355) @t396))) % 1.13/1.35 (step @p360 :rule refl :args (@t355)) % 1.13/1.35 (step @p361 :rule bool-and-de-morgan :args (@t354 @t356 true)) % 1.13/1.35 (step @p362 :rule nary_cong :premises (@p361 @p360) :args ((or (not @t360) @t355))) % 1.13/1.35 (step @p363 :rule trans :premises (@p362 @p359)) % 1.13/1.35 (step @p364 :rule bool-impl-elim :args (@t360 @t355)) % 1.13/1.35 (step @p365 :rule trans :premises (@p364 @p363)) % 1.13/1.35 (step @p366 :rule cong :premises (@p365) :args (@t361)) % 1.13/1.35 (step @p367 :rule cong :premises (@p366) :args (@t362)) % 1.13/1.35 (step @p368 :rule eq_resolve :premises (@p306 @p367)) % 1.13/1.35 (step @p369 :rule quant_var_reordering :args ((= (forall (@list @t261 @t263 @t264 @t277) @t396) @t397))) % 1.13/1.35 (step @p370 :rule alpha_equiv :args ((forall (@list @t401 @t399 @t400 @t398) (or (not (tptp.permutation_succeeds @t401 @t399)) (not (tptp.permutation_succeeds @t400 @t398)) (tptp.permutation_succeeds (|tptp.'**'| @t401 @t400) (|tptp.'**'| @t399 @t398)))) @t402 (@list @t261 @t263 @t264 @t277))) % 1.13/1.35 (step @p371 :rule alpha_equiv :args (@t385 (@list @t261 @t263 @t383 @t382) @t402)) % 1.13/1.35 (step @p372 :rule trans :premises (@p371 @p370 @p369)) % 1.13/1.35 (step @p373 :rule equiv_elim1 :premises (@p372)) % 1.13/1.35 (step @p374 :rule reordering :premises (@p373) :args ((or @t397 @t403))) % 1.13/1.35 (step @p375 :rule chain_m_resolution :premises (@p374 @p368) :args (@t403 @t404 (@list @t397))) % 1.13/1.35 (step @p376 :rule skolemize :premises (@p375)) % 1.13/1.35 (step @p377 :rule bool-double-not-elim :args (@t405)) % 1.13/1.35 (step @p378 :rule refl :args (@t410)) % 1.13/1.35 (step @p379 :rule nary_cong :premises (@p378 @p377) :args ((or @t410 (not @t407)))) % 1.13/1.35 (step @p380 :rule cnf_or_neg :args (@t410 1)) % 1.13/1.35 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 1.13/1.35 (step @p382 :rule reordering :premises (@p381) :args ((or @t405 @t410))) % 1.13/1.35 (step @p383 :rule chain_m_resolution :premises (@p382 @p376) :args (@t405 @t404 @t411)) % 1.13/1.35 (step @p384 :rule cnf_or_pos :args (@t415)) % 1.13/1.35 (step @p385 :rule reordering :premises (@p384) :args ((or @t407 @t414 (not @t415)))) % 1.13/1.35 (step @p386 :rule chain_m_resolution :premises (@p385 @p383 @p358) :args (@t414 @t416 (@list @t405 @t415))) % 1.13/1.35 (step @p387 :rule cnf_and_pos :args (@t414 1)) % 1.13/1.35 (step @p388 :rule reordering :premises (@p387) :args ((or @t412 @t417))) % 1.13/1.35 (step @p389 :rule chain_m_resolution :premises (@p388 @p386) :args (@t412 @t418 @t419)) % 1.13/1.35 (step @p390 :rule instantiate :premises (@p357) :args (@t420)) % 1.13/1.35 (step @p391 :rule bool-double-not-elim :args (@t408)) % 1.13/1.35 (step @p392 :rule nary_cong :premises (@p378 @p391) :args ((or @t410 (not @t409)))) % 1.13/1.35 (step @p393 :rule cnf_or_neg :args (@t410 0)) % 1.13/1.35 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 1.13/1.35 (step @p395 :rule reordering :premises (@p394) :args ((or @t408 @t410))) % 1.13/1.35 (step @p396 :rule chain_m_resolution :premises (@p395 @p376) :args (@t408 @t404 @t411)) % 1.13/1.35 (step @p397 :rule cnf_or_pos :args (@t424)) % 1.13/1.35 (step @p398 :rule reordering :premises (@p397) :args ((or @t409 @t423 (not @t424)))) % 1.13/1.35 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p390) :args (@t423 @t416 (@list @t408 @t424))) % 1.13/1.35 (step @p400 :rule cnf_and_pos :args (@t423 1)) % 1.13/1.35 (step @p401 :rule reordering :premises (@p400) :args ((or @t421 @t425))) % 1.13/1.35 (step @p402 :rule chain_m_resolution :premises (@p401 @p399) :args (@t421 @t418 @t426)) % 1.13/1.35 (step @p403 :rule cnf_or_pos :args (@t430)) % 1.13/1.35 (step @p404 :rule reordering :premises (@p403) :args ((or @t429 @t428 @t427 (not @t430)))) % 1.13/1.35 (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p389 @p354) :args (@t427 @t431 (@list @t421 @t412 @t430))) % 1.13/1.35 (step @p406 :rule instantiate :premises (@p353) :args ((@list @t387 @t386))) % 1.13/1.35 (step @p407 :rule cnf_and_pos :args (@t414 0)) % 1.13/1.35 (step @p408 :rule reordering :premises (@p407) :args ((or @t413 @t417))) % 1.13/1.35 (step @p409 :rule chain_m_resolution :premises (@p408 @p386) :args (@t413 @t418 @t419)) % 1.13/1.35 (step @p410 :rule cnf_and_pos :args (@t423 0)) % 1.13/1.35 (step @p411 :rule reordering :premises (@p410) :args ((or @t422 @t425))) % 1.13/1.35 (step @p412 :rule chain_m_resolution :premises (@p411 @p399) :args (@t422 @t418 @t426)) % 1.13/1.35 (step @p413 :rule cnf_or_pos :args (@t435)) % 1.13/1.35 (step @p414 :rule reordering :premises (@p413) :args ((or @t434 @t433 @t432 (not @t435)))) % 1.13/1.35 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p409 @p406) :args (@t432 @t431 (@list @t422 @t413 @t435))) % 1.13/1.35 (step @p416 :rule cnf_or_neg :args (@t410 2)) % 1.13/1.35 (step @p417 :rule chain_m_resolution :premises (@p416 @p376) :args ((not @t406) @t404 @t411)) % 1.13/1.35 (step @p418 :rule cnf_or_pos :args (@t440)) % 1.13/1.35 (step @p419 :rule reordering :premises (@p418) :args ((or @t406 @t438 @t439 @t437 (not @t440)))) % 1.13/1.35 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p415 @p405 @p344) :args (@t437 (@list true false false false) (@list @t406 @t432 @t427 @t440))) % 1.13/1.35 (step @p421 :rule skolemize :premises (@p420)) % 1.13/1.35 (step @p422 :rule aci_norm :args ((= (or @t392 @t340) (or @t379 @t369 @t340)))) % 1.13/1.35 (step @p423 :rule refl :args (@t340)) % 1.13/1.35 (step @p424 :rule nary_cong :premises (@p347 @p423) :args ((or @t393 @t340))) % 1.13/1.35 (step @p425 :rule trans :premises (@p424 @p422)) % 1.13/1.35 (step @p426 :rule bool-impl-elim :args (@t270 @t340)) % 1.13/1.35 (step @p427 :rule trans :premises (@p426 @p425)) % 1.13/1.35 (step @p428 :rule cong :premises (@p427) :args (@t341)) % 1.13/1.35 (step @p429 :rule eq_resolve :premises (@p290 @p428)) % 1.13/1.35 (step @p430 :rule instantiate :premises (@p429) :args ((@list @t441 @t387 @t386))) % 1.13/1.35 (step @p431 :rule cnf_or_pos :args (@t446)) % 1.13/1.35 (step @p432 :rule reordering :premises (@p431) :args ((or @t434 @t433 @t445 (not @t446)))) % 1.13/1.35 (step @p433 :rule chain_m_resolution :premises (@p432 @p412 @p409 @p430) :args (@t445 @t431 (@list @t422 @t413 @t446))) % 1.13/1.35 (step @p434 :rule instantiate :premises (@p429) :args ((@list @t441 @t390 @t389))) % 1.13/1.35 (step @p435 :rule cnf_or_pos :args (@t452)) % 1.13/1.35 (step @p436 :rule reordering :premises (@p435) :args ((or @t429 @t428 @t451 (not @t452)))) % 1.13/1.35 (step @p437 :rule chain_m_resolution :premises (@p436 @p402 @p389 @p434) :args (@t451 @t431 (@list @t421 @t412 @t452))) % 1.13/1.35 (step @p438 :rule quant-merge-prenex :args ((= (forall @t276 @t459) @t457))) % 1.13/1.35 (step @p439 :rule alpha_equiv :args (@t460 (@list @t453) (@list @t187))) % 1.13/1.35 (step @p440 :rule refl :args (@t455)) % 1.13/1.35 (step @p441 :rule nary_cong :premises (@p440 @p439) :args (@t461)) % 1.13/1.35 (step @p442 :rule quant-miniscope-or :args ((= @t459 @t461))) % 1.13/1.35 (step @p443 :rule trans :premises (@p442 @p441)) % 1.13/1.35 (step @p444 :rule symm :premises (@p443)) % 1.13/1.35 (step @p445 :rule cong :premises (@p444) :args ((forall @t276 (or @t455 @t342)))) % 1.13/1.35 (step @p446 :rule trans :premises (@p445 @p438)) % 1.13/1.35 (step @p447 :rule bool-impl-elim :args (@t332 @t342)) % 1.13/1.35 (step @p448 :rule cong :premises (@p447) :args (@t343)) % 1.13/1.35 (step @p449 :rule trans :premises (@p448 @p446)) % 1.13/1.35 (step @p450 :rule eq_resolve :premises (@p293 @p449)) % 1.13/1.35 (step @p451 :rule eq-symm :args (@t447 @t442)) % 1.13/1.35 (step @p452 :rule refl :args (@t463)) % 1.13/1.35 (step @p453 :rule nary_cong :premises (@p452 @p451) :args (@t464)) % 1.13/1.35 (step @p454 :rule refl :args (@t457)) % 1.13/1.35 (step @p455 :rule cong :premises (@p454 @p453) :args ((=> @t457 @t464))) % 1.13/1.35 (assume-push @p510 @t457) % 1.13/1.35 (step @p457 :rule instantiate :premises (@p450) :args ((@list @t389 @t386 @t441))) % 1.13/1.35 (step-pop @p511 :rule scope :premises (@p457)) % 1.13/1.35 (step @p458 :rule process_scope :premises (@p511) :args (@t464)) % 1.13/1.35 (step @p460 :rule eq_resolve :premises (@p458 @p455)) % 1.13/1.35 (step @p461 :rule implies_elim :premises (@p460)) % 1.13/1.35 (step @p462 :rule chain_m_resolution :premises (@p461 @p450) :args (@t466 @t418 @t467)) % 1.13/1.35 (step @p463 :rule bool-impl-elim :args (@t332 @t352)) % 1.13/1.35 (step @p464 :rule cong :premises (@p463) :args (@t353)) % 1.13/1.35 (step @p465 :rule eq_resolve :premises (@p303 @p464)) % 1.13/1.35 (step @p466 :rule instantiate :premises (@p465) :args (@t394)) % 1.13/1.35 (step @p467 :rule cnf_or_pos :args (@t468)) % 1.13/1.35 (step @p468 :rule reordering :premises (@p467) :args ((or @t407 @t462 (not @t468)))) % 1.13/1.35 (step @p469 :rule chain_m_resolution :premises (@p468 @p383 @p466) :args (@t462 @t416 (@list @t405 @t468))) % 1.13/1.35 (step @p470 :rule cnf_or_pos :args (@t466)) % 1.13/1.35 (step @p471 :rule reordering :premises (@p470) :args ((or @t463 @t465 (not @t466)))) % 1.13/1.36 (step @p472 :rule chain_m_resolution :premises (@p471 @p469 @p462) :args (@t465 @t416 (@list @t462 @t466))) % 1.13/1.36 (step @p473 :rule eq-symm :args (@t448 @t443)) % 1.13/1.36 (step @p474 :rule refl :args (@t470)) % 1.13/1.36 (step @p475 :rule nary_cong :premises (@p474 @p473) :args (@t471)) % 1.13/1.36 (step @p476 :rule cong :premises (@p454 @p475) :args ((=> @t457 @t471))) % 1.13/1.36 (assume-push @p512 @t457) % 1.13/1.36 (step @p478 :rule instantiate :premises (@p450) :args ((@list @t390 @t387 @t441))) % 1.13/1.36 (step-pop @p513 :rule scope :premises (@p478)) % 1.13/1.36 (step @p479 :rule process_scope :premises (@p513) :args (@t471)) % 1.13/1.36 (step @p481 :rule eq_resolve :premises (@p479 @p476)) % 1.13/1.36 (step @p482 :rule implies_elim :premises (@p481)) % 1.13/1.36 (step @p483 :rule chain_m_resolution :premises (@p482 @p450) :args (@t473 @t418 @t467)) % 1.13/1.36 (step @p484 :rule instantiate :premises (@p465) :args (@t420)) % 1.13/1.36 (step @p485 :rule cnf_or_pos :args (@t474)) % 1.13/1.36 (step @p486 :rule reordering :premises (@p485) :args ((or @t409 @t469 (not @t474)))) % 1.13/1.36 (step @p487 :rule chain_m_resolution :premises (@p486 @p396 @p484) :args (@t469 @t416 (@list @t408 @t474))) % 1.13/1.36 (step @p488 :rule cnf_or_pos :args (@t473)) % 1.13/1.36 (step @p489 :rule reordering :premises (@p488) :args ((or @t470 @t472 (not @t473)))) % 1.13/1.36 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p483) :args (@t472 @t416 (@list @t469 @t473))) % 1.13/1.36 (assume-push @p514 @t445) % 1.13/1.36 (assume-push @p515 @t451) % 1.13/1.36 (assume-push @p516 @t465) % 1.13/1.36 (assume-push @p517 @t472) % 1.13/1.36 (step @p495 :rule symm :premises (@p433)) % 1.13/1.36 (step @p496 :rule symm :premises (@p472)) % 1.13/1.36 (step @p497 :rule symm :premises (@p490)) % 1.13/1.36 (step @p498 :rule cong :premises (@p497 @p496) :args (@t449)) % 1.13/1.36 (step @p499 :rule trans :premises (@p437 @p498 @p495)) % 1.13/1.36 (step-pop @p518 :rule scope :premises (@p499)) % 1.13/1.36 (step-pop @p519 :rule scope :premises (@p518)) % 1.13/1.36 (step-pop @p520 :rule scope :premises (@p519)) % 1.13/1.36 (step-pop @p521 :rule scope :premises (@p520)) % 1.13/1.36 (step @p500 :rule process_scope :premises (@p521) :args (@t475)) % 1.13/1.36 (step @p505 :rule implies_elim :premises (@p500)) % 1.13/1.36 (step @p506 :rule cnf_and_neg :args (@t476)) % 1.13/1.36 (step @p507 :rule resolution :premises (@p506 @p505) :args (true @t476)) % 1.13/1.36 (step @p508 :rule reordering :premises (@p507) :args ((or @t475 (not @t445) (not @t451) (not @t465) (not @t472)))) % 1.13/1.36 (step @p509 false :rule chain_m_resolution :premises (@p508 @p490 @p472 @p437 @p433 @p421) :args (false (@list false false false false true) (@list @t472 @t465 @t451 @t445 @t475))) % 1.13/1.36 ) % 1.13/1.36 % SZS output end Proof % 1.13/1.36 % cvc5 exiting %------------------------------------------------------------------------------