%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX049+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 : n012.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 35.01s 35.25s % Output : Proof 35.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX049+1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 22:54:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.36 %----Proving TF0_NAR, FOF, or CNF % 35.01/35.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.01/35.25 --- Run --no-e-matching --full-saturate-quant at 6... % 35.01/35.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.01/35.25 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.01/35.25 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.01/35.25 % SZS status Theorem % 35.01/35.25 % SZS output start Proof % 35.01/35.25 ( % 35.01/35.25 (declare-sort $$unsorted 0) % 35.01/35.25 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 35.01/35.25 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 35.01/35.25 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.gr (-> $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 35.01/35.25 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 35.01/35.25 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 35.01/35.25 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'0'| $$unsorted) % 35.01/35.25 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.nil $$unsorted) % 35.01/35.25 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 35.01/35.25 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.01/35.25 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.01/35.25 (define @t1 () (@var "Xx3" $$unsorted)) % 35.01/35.25 (define @t2 () (tptp.s @t1)) % 35.01/35.25 (define @t3 () (= |tptp.'0'| @t2)) % 35.01/35.25 (define @t4 () (not @t3)) % 35.01/35.25 (define @t5 () (@list @t1)) % 35.01/35.25 (define @t6 () (forall @t5 @t4)) % 35.01/35.25 (define @t7 () (@var "Xx5" $$unsorted)) % 35.01/35.25 (define @t8 () (@var "Xx4" $$unsorted)) % 35.01/35.25 (define @t9 () (tptp.cons @t8 @t7)) % 35.01/35.25 (define @t10 () (@list @t8 @t7)) % 35.01/35.25 (define @t11 () (@var "Xx6" $$unsorted)) % 35.01/35.25 (define @t12 () (@var "Xx8" $$unsorted)) % 35.01/35.25 (define @t13 () (@var "Xx7" $$unsorted)) % 35.01/35.25 (define @t14 () (forall (@list @t13 @t12) (not (= tptp.nil (tptp.cons @t13 @t12))))) % 35.01/35.25 (define @t15 () (@var "Xx10" $$unsorted)) % 35.01/35.25 (define @t16 () (@var "Xx9" $$unsorted)) % 35.01/35.25 (define @t17 () (= @t16 @t15)) % 35.01/35.25 (define @t18 () (= (tptp.s @t16) (tptp.s @t15))) % 35.01/35.25 (define @t19 () (forall (@list @t16 @t15) (=> @t18 @t17))) % 35.01/35.25 (define @t20 () (@var "Xx13" $$unsorted)) % 35.01/35.25 (define @t21 () (@var "Xx12" $$unsorted)) % 35.01/35.25 (define @t22 () (@var "Xx11" $$unsorted)) % 35.01/35.25 (define @t23 () (@var "Xx17" $$unsorted)) % 35.01/35.25 (define @t24 () (@var "Xx15" $$unsorted)) % 35.01/35.25 (define @t25 () (@var "Xx16" $$unsorted)) % 35.01/35.25 (define @t26 () (@var "Xx14" $$unsorted)) % 35.01/35.25 (define @t27 () (@var "Xx20" $$unsorted)) % 35.01/35.25 (define @t28 () (@var "Xx18" $$unsorted)) % 35.01/35.25 (define @t29 () (@var "Xx21" $$unsorted)) % 35.01/35.25 (define @t30 () (@var "Xx19" $$unsorted)) % 35.01/35.25 (define @t31 () (@var "Xx22" $$unsorted)) % 35.01/35.25 (define @t32 () (@var "Xx24" $$unsorted)) % 35.01/35.25 (define @t33 () (@var "Xx23" $$unsorted)) % 35.01/35.25 (define @t34 () (@var "Xx27" $$unsorted)) % 35.01/35.25 (define @t35 () (@var "Xx26" $$unsorted)) % 35.01/35.25 (define @t36 () (@var "Xx25" $$unsorted)) % 35.01/35.25 (define @t37 () (tptp.member2_fails @t36 @t35 @t34)) % 35.01/35.25 (define @t38 () (tptp.member2_succeeds @t36 @t35 @t34)) % 35.01/35.25 (define @t39 () (@list @t36 @t35 @t34)) % 35.01/35.25 (define @t40 () (@var "Xx30" $$unsorted)) % 35.01/35.25 (define @t41 () (@var "Xx29" $$unsorted)) % 35.01/35.25 (define @t42 () (@var "Xx28" $$unsorted)) % 35.01/35.25 (define @t43 () (tptp.occ_fails @t42 @t41 @t40)) % 35.01/35.25 (define @t44 () (tptp.occ_succeeds @t42 @t41 @t40)) % 35.01/35.25 (define @t45 () (@list @t42 @t41 @t40)) % 35.01/35.25 (define @t46 () (@var "Xx32" $$unsorted)) % 35.01/35.25 (define @t47 () (@var "Xx31" $$unsorted)) % 35.01/35.25 (define @t48 () (tptp.not_same_occ_fails @t47 @t46)) % 35.01/35.25 (define @t49 () (tptp.not_same_occ_succeeds @t47 @t46)) % 35.01/35.25 (define @t50 () (@list @t47 @t46)) % 35.01/35.25 (define @t51 () (@var "Xx34" $$unsorted)) % 35.01/35.25 (define @t52 () (@var "Xx33" $$unsorted)) % 35.01/35.25 (define @t53 () (tptp.same_occ_fails @t52 @t51)) % 35.01/35.25 (define @t54 () (tptp.same_occ_succeeds @t52 @t51)) % 35.01/35.25 (define @t55 () (@list @t52 @t51)) % 35.01/35.25 (define @t56 () (@var "Xx36" $$unsorted)) % 35.01/35.25 (define @t57 () (@var "Xx35" $$unsorted)) % 35.01/35.25 (define @t58 () (tptp.permutation_fails @t57 @t56)) % 35.01/35.25 (define @t59 () (tptp.permutation_succeeds @t57 @t56)) % 35.01/35.25 (define @t60 () (@list @t57 @t56)) % 35.01/35.25 (define @t61 () (@var "Xx39" $$unsorted)) % 35.01/35.25 (define @t62 () (@var "Xx38" $$unsorted)) % 35.01/35.25 (define @t63 () (@var "Xx37" $$unsorted)) % 35.01/35.25 (define @t64 () (tptp.delete_fails @t63 @t62 @t61)) % 35.01/35.25 (define @t65 () (tptp.delete_succeeds @t63 @t62 @t61)) % 35.01/35.25 (define @t66 () (@list @t63 @t62 @t61)) % 35.01/35.25 (define @t67 () (@var "Xx41" $$unsorted)) % 35.01/35.25 (define @t68 () (@var "Xx40" $$unsorted)) % 35.01/35.25 (define @t69 () (tptp.length_fails @t68 @t67)) % 35.01/35.25 (define @t70 () (tptp.length_succeeds @t68 @t67)) % 35.01/35.25 (define @t71 () (@list @t68 @t67)) % 35.01/35.25 (define @t72 () (@var "Xx44" $$unsorted)) % 35.01/35.25 (define @t73 () (@var "Xx43" $$unsorted)) % 35.01/35.25 (define @t74 () (@var "Xx42" $$unsorted)) % 35.01/35.25 (define @t75 () (tptp.append_fails @t74 @t73 @t72)) % 35.01/35.25 (define @t76 () (tptp.append_succeeds @t74 @t73 @t72)) % 35.01/35.25 (define @t77 () (@list @t74 @t73 @t72)) % 35.01/35.25 (define @t78 () (@var "Xx46" $$unsorted)) % 35.01/35.25 (define @t79 () (@var "Xx45" $$unsorted)) % 35.01/35.25 (define @t80 () (tptp.member_fails @t79 @t78)) % 35.01/35.25 (define @t81 () (tptp.member_succeeds @t79 @t78)) % 35.01/35.25 (define @t82 () (@list @t79 @t78)) % 35.01/35.25 (define @t83 () (@var "Xx47" $$unsorted)) % 35.01/35.25 (define @t84 () (tptp.list_fails @t83)) % 35.01/35.25 (define @t85 () (tptp.list_succeeds @t83)) % 35.01/35.25 (define @t86 () (@list @t83)) % 35.01/35.25 (define @t87 () (@var "Xx48" $$unsorted)) % 35.01/35.25 (define @t88 () (tptp.nat_list_fails @t87)) % 35.01/35.25 (define @t89 () (tptp.nat_list_succeeds @t87)) % 35.01/35.25 (define @t90 () (@list @t87)) % 35.01/35.25 (define @t91 () (@var "Xx51" $$unsorted)) % 35.01/35.25 (define @t92 () (@var "Xx50" $$unsorted)) % 35.01/35.25 (define @t93 () (@var "Xx49" $$unsorted)) % 35.01/35.25 (define @t94 () (tptp.times_fails @t93 @t92 @t91)) % 35.01/35.25 (define @t95 () (tptp.times_succeeds @t93 @t92 @t91)) % 35.01/35.25 (define @t96 () (@list @t93 @t92 @t91)) % 35.01/35.25 (define @t97 () (@var "Xx54" $$unsorted)) % 35.01/35.25 (define @t98 () (@var "Xx53" $$unsorted)) % 35.01/35.25 (define @t99 () (@var "Xx52" $$unsorted)) % 35.01/35.25 (define @t100 () (tptp.plus_fails @t99 @t98 @t97)) % 35.01/35.25 (define @t101 () (tptp.plus_succeeds @t99 @t98 @t97)) % 35.01/35.25 (define @t102 () (@list @t99 @t98 @t97)) % 35.01/35.25 (define @t103 () (@var "Xx56" $$unsorted)) % 35.01/35.25 (define @t104 () (@var "Xx55" $$unsorted)) % 35.01/35.25 (define @t105 () (|tptp.'@=<_fails'| @t104 @t103)) % 35.01/35.25 (define @t106 () (|tptp.'@=<_succeeds'| @t104 @t103)) % 35.01/35.25 (define @t107 () (@list @t104 @t103)) % 35.01/35.25 (define @t108 () (@var "Xx58" $$unsorted)) % 35.01/35.25 (define @t109 () (@var "Xx57" $$unsorted)) % 35.01/35.25 (define @t110 () (|tptp.'@<_fails'| @t109 @t108)) % 35.01/35.25 (define @t111 () (|tptp.'@<_succeeds'| @t109 @t108)) % 35.01/35.25 (define @t112 () (@list @t109 @t108)) % 35.01/35.25 (define @t113 () (@var "Xx59" $$unsorted)) % 35.01/35.25 (define @t114 () (tptp.nat_fails @t113)) % 35.01/35.25 (define @t115 () (tptp.nat_succeeds @t113)) % 35.01/35.25 (define @t116 () (@list @t113)) % 35.01/35.25 (define @t117 () (@var "Xx2" $$unsorted)) % 35.01/35.25 (define @t118 () (@var "Xx1" $$unsorted)) % 35.01/35.25 (define @t119 () (tptp.member_succeeds @t118 @t117)) % 35.01/35.25 (define @t120 () (@list @t118 @t117 @t1)) % 35.01/35.25 (define @t121 () (tptp.member_fails @t118 @t117)) % 35.01/35.25 (define @t122 () (tptp.member_terminates @t118 @t117)) % 35.01/35.25 (define @t123 () (= @t1 |tptp.'0'|)) % 35.01/35.25 (define @t124 () (= @t117 tptp.nil)) % 35.01/35.25 (define @t125 () (= @t1 (tptp.s @t13))) % 35.01/35.25 (define @t126 () (= @t117 (tptp.cons @t118 @t11))) % 35.01/35.25 (define @t127 () (@list @t11 @t13)) % 35.01/35.25 (define @t128 () (= @t118 @t8)) % 35.01/35.25 (define @t129 () (= @t117 @t9)) % 35.01/35.25 (define @t130 () (not @t123)) % 35.01/35.25 (define @t131 () (not @t124)) % 35.01/35.25 (define @t132 () (not @t125)) % 35.01/35.25 (define @t133 () (not @t126)) % 35.01/35.25 (define @t134 () (not @t129)) % 35.01/35.25 (define @t135 () (tptp.gr @t8)) % 35.01/35.25 (define @t136 () (tptp.gr @t118)) % 35.01/35.25 (define @t137 () (= @t8 @t7)) % 35.01/35.25 (define @t138 () (@list @t1 @t8 @t7)) % 35.01/35.25 (define @t139 () (tptp.not_same_occ_succeeds @t118 @t117)) % 35.01/35.25 (define @t140 () (@list @t118 @t117)) % 35.01/35.25 (define @t141 () (tptp.occ_fails @t1 @t117 @t7)) % 35.01/35.25 (define @t142 () (tptp.occ_fails @t1 @t118 @t8)) % 35.01/35.25 (define @t143 () (tptp.member2_fails @t1 @t118 @t117)) % 35.01/35.25 (define @t144 () (tptp.not_same_occ_fails @t118 @t117)) % 35.01/35.25 (define @t145 () (tptp.not_same_occ_terminates @t118 @t117)) % 35.01/35.25 (define @t146 () (= @t118 tptp.nil)) % 35.01/35.25 (define @t147 () (tptp.cons @t1 @t8)) % 35.01/35.25 (define @t148 () (= @t117 @t147)) % 35.01/35.25 (define @t149 () (not @t146)) % 35.01/35.25 (define @t150 () (tptp.delete_fails @t1 @t118 @t7)) % 35.01/35.25 (define @t151 () (not @t148)) % 35.01/35.25 (define @t152 () (or @t149 true)) % 35.01/35.25 (define @t153 () (= @t117 (tptp.cons @t118 @t1))) % 35.01/35.25 (define @t154 () (= @t1 (tptp.cons @t8 @t11))) % 35.01/35.25 (define @t155 () (@list @t8 @t7 @t11)) % 35.01/35.25 (define @t156 () (not @t154)) % 35.01/35.25 (define @t157 () (= @t117 |tptp.'0'|)) % 35.01/35.25 (define @t158 () (tptp.s @t7)) % 35.01/35.25 (define @t159 () (= @t117 @t158)) % 35.01/35.25 (define @t160 () (= @t118 @t147)) % 35.01/35.25 (define @t161 () (not @t159)) % 35.01/35.25 (define @t162 () (not @t160)) % 35.01/35.25 (define @t163 () (= @t1 @t117)) % 35.01/35.25 (define @t164 () (= @t118 @t9)) % 35.01/35.25 (define @t165 () (not @t163)) % 35.01/35.25 (define @t166 () (not @t164)) % 35.01/35.25 (define @t167 () (= @t117 (tptp.cons @t118 @t7))) % 35.01/35.25 (define @t168 () (@list @t7)) % 35.01/35.25 (define @t169 () (@list @t1 @t8)) % 35.01/35.25 (define @t170 () (tptp.list_succeeds @t1)) % 35.01/35.25 (define @t171 () (tptp.cons @t117 @t1)) % 35.01/35.25 (define @t172 () (= @t118 @t171)) % 35.01/35.25 (define @t173 () (and @t172 @t170)) % 35.01/35.25 (define @t174 () (@list @t117 @t1)) % 35.01/35.25 (define @t175 () (exists @t174 @t173)) % 35.01/35.25 (define @t176 () (or @t175 @t146)) % 35.01/35.25 (define @t177 () (tptp.list_succeeds @t118)) % 35.01/35.25 (define @t178 () (= @t177 @t176)) % 35.01/35.25 (define @t179 () (@list @t118)) % 35.01/35.25 (define @t180 () (forall @t179 @t178)) % 35.01/35.25 (define @t181 () (not @t172)) % 35.01/35.25 (define @t182 () (tptp.nat_succeeds @t117)) % 35.01/35.25 (define @t183 () (tptp.nat_fails @t117)) % 35.01/35.25 (define @t184 () (tptp.nat_terminates @t117)) % 35.01/35.25 (define @t185 () (= @t118 |tptp.'0'|)) % 35.01/35.25 (define @t186 () (tptp.s @t8)) % 35.01/35.25 (define @t187 () (= @t118 @t186)) % 35.01/35.25 (define @t188 () (not @t185)) % 35.01/35.25 (define @t189 () (tptp.times_fails @t8 @t117 @t7)) % 35.01/35.25 (define @t190 () (not @t187)) % 35.01/35.25 (define @t191 () (or @t188 true)) % 35.01/35.25 (define @t192 () (= @t1 @t158)) % 35.01/35.25 (define @t193 () (not @t192)) % 35.01/35.25 (define @t194 () (= @t117 @t186)) % 35.01/35.25 (define @t195 () (= @t118 @t2)) % 35.01/35.25 (define @t196 () (not @t194)) % 35.01/35.25 (define @t197 () (not @t195)) % 35.01/35.25 (define @t198 () (tptp.s @t117)) % 35.01/35.25 (define @t199 () (= @t118 @t198)) % 35.01/35.25 (define @t200 () (and @t199 @t182)) % 35.01/35.25 (define @t201 () (@list @t117)) % 35.01/35.25 (define @t202 () (exists @t201 @t200)) % 35.01/35.25 (define @t203 () (or @t202 @t185)) % 35.01/35.25 (define @t204 () (tptp.nat_succeeds @t118)) % 35.01/35.25 (define @t205 () (= @t204 @t203)) % 35.01/35.25 (define @t206 () (forall @t179 @t205)) % 35.01/35.25 (define @t207 () (not @t199)) % 35.01/35.25 (define @t208 () (@var "Xx" $$unsorted)) % 35.01/35.25 (define @t209 () (tptp.nat_succeeds @t208)) % 35.01/35.25 (define @t210 () (@list @t208)) % 35.01/35.25 (define @t211 () (tptp.gr @t208)) % 35.01/35.25 (define @t212 () (@var "Xz" $$unsorted)) % 35.01/35.25 (define @t213 () (@var "Xy" $$unsorted)) % 35.01/35.25 (define @t214 () (tptp.plus_terminates @t208 @t213 @t212)) % 35.01/35.25 (define @t215 () (@list @t208 @t213 @t212)) % 35.01/35.25 (define @t216 () (tptp.nat_succeeds @t212)) % 35.01/35.25 (define @t217 () (tptp.plus_succeeds @t208 @t213 @t212)) % 35.01/35.25 (define @t218 () (tptp.nat_succeeds @t213)) % 35.01/35.25 (define @t219 () (tptp.gr @t212)) % 35.01/35.25 (define @t220 () (tptp.gr @t213)) % 35.01/35.25 (define @t221 () (@list @t212)) % 35.01/35.25 (define @t222 () (@list @t208 @t213)) % 35.01/35.25 (define @t223 () (@var "Xz2" $$unsorted)) % 35.01/35.25 (define @t224 () (@var "Xz1" $$unsorted)) % 35.01/35.25 (define @t225 () (= @t224 @t223)) % 35.01/35.25 (define @t226 () (@list @t208 @t213 @t224 @t223)) % 35.01/35.25 (define @t227 () (@list @t213)) % 35.01/35.25 (define @t228 () (|tptp.'@+'| @t208 @t213)) % 35.01/35.25 (define @t229 () (tptp.s @t208)) % 35.01/35.25 (define @t230 () (|tptp.'@+'| @t229 @t213)) % 35.01/35.25 (define @t231 () (= @t230 (tptp.s @t228))) % 35.01/35.25 (define @t232 () (forall @t222 (=> @t209 @t231))) % 35.01/35.25 (define @t233 () (and @t209 @t218)) % 35.01/35.25 (define @t234 () (|tptp.'@+'| @t213 @t212)) % 35.01/35.25 (define @t235 () (and @t209 @t218 @t216)) % 35.01/35.25 (define @t236 () (|tptp.'@+'| @t208 |tptp.'0'|)) % 35.01/35.25 (define @t237 () (=> @t209 (= @t236 @t208))) % 35.01/35.25 (define @t238 () (forall @t210 @t237)) % 35.01/35.25 (define @t239 () (tptp.s @t213)) % 35.01/35.25 (define @t240 () (|tptp.'@+'| @t208 @t239)) % 35.01/35.25 (define @t241 () (|tptp.'@+'| @t213 @t208)) % 35.01/35.25 (define @t242 () (= @t228 @t241)) % 35.01/35.25 (define @t243 () (forall @t222 (=> @t233 @t242))) % 35.01/35.25 (define @t244 () (|tptp.'@+'| @t208 @t212)) % 35.01/35.25 (define @t245 () (tptp.times_succeeds @t208 @t213 @t212)) % 35.01/35.25 (define @t246 () (|tptp.'@*'| @t208 @t213)) % 35.01/35.25 (define @t247 () (|tptp.'@*'| @t229 @t213)) % 35.01/35.25 (define @t248 () (|tptp.'@*'| @t213 @t212)) % 35.01/35.25 (define @t249 () (|tptp.'@*'| @t208 @t212)) % 35.01/35.25 (define @t250 () (|tptp.'@*'| @t213 @t208)) % 35.01/35.25 (define @t251 () (tptp.s |tptp.'0'|)) % 35.01/35.25 (define @t252 () (|tptp.'@<_terminates'| @t208 @t213)) % 35.01/35.25 (define @t253 () (|tptp.'@<_succeeds'| @t208 @t213)) % 35.01/35.25 (define @t254 () (tptp.s @t212)) % 35.01/35.25 (define @t255 () (|tptp.'@<_succeeds'| @t208 @t212)) % 35.01/35.25 (define @t256 () (|tptp.'@<_succeeds'| @t208 @t239)) % 35.01/35.25 (define @t257 () (|tptp.'@<_succeeds'| @t213 @t212)) % 35.01/35.25 (define @t258 () (= @t208 @t213)) % 35.01/35.25 (define @t259 () (or @t253 @t258)) % 35.01/35.25 (define @t260 () (not (= @t208 |tptp.'0'|))) % 35.01/35.25 (define @t261 () (|tptp.'@=<_succeeds'| @t208 @t213)) % 35.01/35.25 (define @t262 () (|tptp.'@=<_succeeds'| @t213 @t208)) % 35.01/35.25 (define @t263 () (|tptp.'@=<_succeeds'| @t213 @t212)) % 35.01/35.25 (define @t264 () (|tptp.'@<_succeeds'| @t228 @t244)) % 35.01/35.25 (define @t265 () (|tptp.'@<_succeeds'| @t244 @t234)) % 35.01/35.25 (define @t266 () (|tptp.'@=<_succeeds'| @t228 @t244)) % 35.01/35.25 (define @t267 () (and @t261 @t218 @t216)) % 35.01/35.25 (define @t268 () (@var "Xy2" $$unsorted)) % 35.01/35.25 (define @t269 () (@var "Xy1" $$unsorted)) % 35.01/35.25 (define @t270 () (|tptp.'@+'| @t269 @t268)) % 35.01/35.25 (define @t271 () (|tptp.'@+'| @t118 @t117)) % 35.01/35.25 (define @t272 () (tptp.nat_succeeds @t269)) % 35.01/35.25 (define @t273 () (|tptp.'@=<_succeeds'| @t117 @t268)) % 35.01/35.25 (define @t274 () (|tptp.'@=<_succeeds'| @t118 @t269)) % 35.01/35.25 (define @t275 () (@list @t118 @t117 @t269 @t268)) % 35.01/35.25 (define @t276 () (|tptp.'@<_succeeds'| @t271 @t270)) % 35.01/35.25 (define @t277 () (|tptp.'@<_succeeds'| @t118 @t269)) % 35.01/35.25 (define @t278 () (|tptp.'@<_succeeds'| @t117 @t268)) % 35.01/35.25 (define @t279 () (@var "Xl" $$unsorted)) % 35.01/35.25 (define @t280 () (tptp.list_succeeds @t279)) % 35.01/35.25 (define @t281 () (tptp.cons @t208 @t279)) % 35.01/35.25 (define @t282 () (@list @t208 @t279)) % 35.01/35.25 (define @t283 () (@list @t279)) % 35.01/35.25 (define @t284 () (tptp.member_succeeds @t208 @t279)) % 35.01/35.25 (define @t285 () (tptp.gr @t279)) % 35.01/35.25 (define @t286 () (not @t258)) % 35.01/35.25 (define @t287 () (tptp.cons @t213 @t279)) % 35.01/35.25 (define @t288 () (@var "Xl1" $$unsorted)) % 35.01/35.25 (define @t289 () (tptp.list_succeeds @t288)) % 35.01/35.25 (define @t290 () (@var "Xl3" $$unsorted)) % 35.01/35.25 (define @t291 () (@var "Xl2" $$unsorted)) % 35.01/35.25 (define @t292 () (tptp.append_succeeds @t288 @t291 @t290)) % 35.01/35.25 (define @t293 () (@list @t288 @t291 @t290)) % 35.01/35.25 (define @t294 () (tptp.list_succeeds @t290)) % 35.01/35.25 (define @t295 () (tptp.list_succeeds @t291)) % 35.01/35.25 (define @t296 () (and @t292 @t294)) % 35.01/35.25 (define @t297 () (and @t289 @t295)) % 35.01/35.25 (define @t298 () (tptp.append_terminates @t288 @t291 @t290)) % 35.01/35.25 (define @t299 () (tptp.gr @t290)) % 35.01/35.25 (define @t300 () (tptp.gr @t291)) % 35.01/35.25 (define @t301 () (tptp.gr @t288)) % 35.01/35.25 (define @t302 () (and @t301 @t300)) % 35.01/35.25 (define @t303 () (@list @t288 @t291)) % 35.01/35.25 (define @t304 () (@var "Xl4" $$unsorted)) % 35.01/35.25 (define @t305 () (@list @t288 @t291 @t290 @t304)) % 35.01/35.25 (define @t306 () (|tptp.'**'| tptp.nil @t279)) % 35.01/35.25 (define @t307 () (forall @t283 (= @t306 @t279))) % 35.01/35.25 (define @t308 () (|tptp.'**'| @t288 @t291)) % 35.01/35.25 (define @t309 () (tptp.cons @t208 @t288)) % 35.01/35.25 (define @t310 () (= (|tptp.'**'| @t309 @t291) (tptp.cons @t208 @t308))) % 35.01/35.25 (define @t311 () (@list @t208 @t288 @t291)) % 35.01/35.25 (define @t312 () (forall @t311 (=> @t289 @t310))) % 35.01/35.25 (define @t313 () (tptp.list_succeeds @t308)) % 35.01/35.25 (define @t314 () (forall @t303 (=> @t297 @t313))) % 35.01/35.25 (define @t315 () (tptp.gr @t308)) % 35.01/35.25 (define @t316 () (|tptp.'**'| @t291 @t290)) % 35.01/35.25 (define @t317 () (|tptp.'**'| @t279 tptp.nil)) % 35.01/35.25 (define @t318 () (=> @t280 (= @t317 @t279))) % 35.01/35.25 (define @t319 () (forall @t283 @t318)) % 35.01/35.25 (define @t320 () (@var "Xn" $$unsorted)) % 35.01/35.25 (define @t321 () (tptp.nat_succeeds @t320)) % 35.01/35.25 (define @t322 () (and @t280 @t321)) % 35.01/35.25 (define @t323 () (tptp.length_succeeds @t279 @t320)) % 35.01/35.25 (define @t324 () (@list @t279 @t320)) % 35.01/35.25 (define @t325 () (tptp.gr @t320)) % 35.01/35.25 (define @t326 () (@list @t320)) % 35.01/35.25 (define @t327 () (@var "Xm" $$unsorted)) % 35.01/35.25 (define @t328 () (= @t327 @t320)) % 35.01/35.25 (define @t329 () (tptp.lh tptp.nil)) % 35.01/35.25 (define @t330 () (tptp.lh @t279)) % 35.01/35.25 (define @t331 () (tptp.lh @t281)) % 35.01/35.25 (define @t332 () (tptp.cons @t208 @t291)) % 35.01/35.25 (define @t333 () (@list @t208 @t291)) % 35.01/35.25 (define @t334 () (tptp.s @t320)) % 35.01/35.25 (define @t335 () (tptp.lh @t288)) % 35.01/35.25 (define @t336 () (tptp.lh @t291)) % 35.01/35.25 (define @t337 () (|tptp.'@+'| @t335 @t336)) % 35.01/35.25 (define @t338 () (tptp.lh @t308)) % 35.01/35.25 (define @t339 () (tptp.lh @t290)) % 35.01/35.25 (define @t340 () (@var "Xi" $$unsorted)) % 35.01/35.25 (define @t341 () (tptp.cons @t208 @t340)) % 35.01/35.25 (define @t342 () (@var "Xk" $$unsorted)) % 35.01/35.25 (define @t343 () (@var "Xj" $$unsorted)) % 35.01/35.25 (define @t344 () (tptp.sub @t340 @t343)) % 35.01/35.25 (define @t345 () (@list @t208 @t340 @t343)) % 35.01/35.25 (define @t346 () (tptp.append_succeeds @t288 @t332 @t290)) % 35.01/35.25 (define @t347 () (tptp.member_succeeds @t208 @t290)) % 35.01/35.25 (define @t348 () (tptp.member_succeeds @t208 @t288)) % 35.01/35.25 (define @t349 () (@list @t208 @t288 @t291 @t290)) % 35.01/35.25 (define @t350 () (tptp.member_succeeds @t208 @t291)) % 35.01/35.25 (define @t351 () (tptp.member_succeeds @t208 @t308)) % 35.01/35.25 (define @t352 () (or @t348 @t350)) % 35.01/35.25 (define @t353 () (= @t288 tptp.nil)) % 35.01/35.25 (define @t354 () (tptp.nat_list_succeeds @t279)) % 35.01/35.25 (define @t355 () (|tptp.'@<_succeeds'| @t337 @t320)) % 35.01/35.25 (define @t356 () (tptp.delete_terminates @t208 @t288 @t291)) % 35.01/35.25 (define @t357 () (tptp.delete_succeeds @t208 @t288 @t291)) % 35.01/35.25 (define @t358 () (and @t357 @t289)) % 35.01/35.25 (define @t359 () (tptp.member_succeeds @t213 @t291)) % 35.01/35.25 (define @t360 () (tptp.member_succeeds @t213 @t288)) % 35.01/35.25 (define @t361 () (@list @t208 @t213 @t288 @t291)) % 35.01/35.25 (define @t362 () (tptp.occ_succeeds @t208 @t279 @t327)) % 35.01/35.25 (define @t363 () (tptp.occ @t208 @t279)) % 35.01/35.25 (define @t364 () (tptp.permutation_terminates @t288 @t291)) % 35.01/35.25 (define @t365 () (@list @t208 @t279 @t320)) % 35.01/35.25 (define @t366 () (tptp.occ_succeeds @t208 @t279 @t320)) % 35.01/35.25 (define @t367 () (and @t289 @t295 @t301 @t300)) % 35.01/35.25 (define @t368 () (tptp.occ @t208 tptp.nil)) % 35.01/35.25 (define @t369 () (forall @t210 (= @t368 |tptp.'0'|))) % 35.01/35.25 (define @t370 () (tptp.occ @t208 @t287)) % 35.01/35.25 (define @t371 () (and @t280 @t286)) % 35.01/35.25 (define @t372 () (=> @t371 (= @t370 @t363))) % 35.01/35.25 (define @t373 () (@list @t208 @t213 @t279)) % 35.01/35.25 (define @t374 () (forall @t373 @t372)) % 35.01/35.25 (define @t375 () (= (tptp.occ @t208 @t281) (tptp.s @t363))) % 35.01/35.25 (define @t376 () (forall @t282 (=> @t280 @t375))) % 35.01/35.25 (define @t377 () (tptp.nat_succeeds @t363)) % 35.01/35.25 (define @t378 () (forall @t282 (=> @t280 @t377))) % 35.01/35.25 (define @t379 () (tptp.occ @t208 @t291)) % 35.01/35.25 (define @t380 () (= (tptp.occ @t208 @t308) (|tptp.'@+'| (tptp.occ @t208 @t288) @t379))) % 35.01/35.25 (define @t381 () (forall @t333 (=> @t295 @t380))) % 35.01/35.25 (define @t382 () (=> @t289 @t381)) % 35.01/35.25 (define @t383 () (@list @t288)) % 35.01/35.25 (define @t384 () (forall @t383 @t382)) % 35.01/35.25 (define @t385 () (= (tptp.occ @t208 (|tptp.'**'| @t1 @t291)) (|tptp.'@+'| (tptp.occ @t208 @t1) @t379))) % 35.01/35.25 (define @t386 () (forall @t333 (=> @t295 @t385))) % 35.01/35.25 (define @t387 () (and (= @t288 @t171) @t170 @t386)) % 35.01/35.25 (define @t388 () (exists @t174 @t387)) % 35.01/35.25 (define @t389 () (or @t388 @t353)) % 35.01/35.25 (define @t390 () (=> @t389 @t381)) % 35.01/35.25 (define @t391 () (forall @t383 @t390)) % 35.01/35.25 (define @t392 () (=> @t391 @t384)) % 35.01/35.25 (define @t393 () (forall @t311 (=> @t297 @t380))) % 35.01/35.25 (define @t394 () (not @t393)) % 35.01/35.25 (define @t395 () (@var "BOUND_VARIABLE_10689" $$unsorted)) % 35.01/35.25 (define @t396 () (@var "BOUND_VARIABLE_10687" $$unsorted)) % 35.01/35.25 (define @t397 () (= (tptp.occ @t396 (|tptp.'**'| @t288 @t395)) (|tptp.'@+'| (tptp.occ @t396 @t288) (tptp.occ @t396 @t395)))) % 35.01/35.25 (define @t398 () (not (tptp.list_succeeds @t395))) % 35.01/35.25 (define @t399 () (= tptp.nil @t288)) % 35.01/35.25 (define @t400 () (not @t399)) % 35.01/35.25 (define @t401 () (@var "BOUND_VARIABLE_10670" $$unsorted)) % 35.01/35.25 (define @t402 () (not @t295)) % 35.01/35.25 (define @t403 () (not (forall @t333 (or @t402 (= (tptp.occ @t208 (|tptp.'**'| @t401 @t291)) (|tptp.'@+'| (tptp.occ @t208 @t401) @t379)))))) % 35.01/35.25 (define @t404 () (not (tptp.list_succeeds @t401))) % 35.01/35.25 (define @t405 () (@var "BOUND_VARIABLE_10668" $$unsorted)) % 35.01/35.25 (define @t406 () (tptp.cons @t405 @t401)) % 35.01/35.25 (define @t407 () (@list @t288 @t405 @t401 @t396 @t395)) % 35.01/35.25 (define @t408 () (forall @t407 (or (and (or (not (= @t288 @t406)) @t404 @t403) @t400) @t398 @t397))) % 35.01/35.25 (define @t409 () (@quantifiers_skolemize @t408 2)) % 35.01/35.25 (define @t410 () (@quantifiers_skolemize @t408 1)) % 35.01/35.25 (define @t411 () (@list @t410 @t409)) % 35.01/35.25 (define @t412 () (@quantifiers_skolemize @t408 0)) % 35.01/35.25 (define @t413 () (= tptp.nil @t412)) % 35.01/35.25 (define @t414 () (not @t413)) % 35.01/35.25 (define @t415 () (tptp.cons @t410 @t409)) % 35.01/35.25 (define @t416 () (= tptp.nil @t415)) % 35.01/35.25 (define @t417 () (= @t412 @t415)) % 35.01/35.25 (define @t418 () (not @t417)) % 35.01/35.25 (define @t419 () (not @t416)) % 35.01/35.25 (define @t420 () (and @t417 @t419)) % 35.01/35.25 (define @t421 () (not @t289)) % 35.01/35.25 (define @t422 () (or @t421 @t402 @t380)) % 35.01/35.25 (define @t423 () (or @t421 @t402)) % 35.01/35.25 (define @t424 () (not @t297)) % 35.01/35.25 (define @t425 () (forall @t311 @t422)) % 35.01/35.25 (define @t426 () (@var "BOUND_VARIABLE_13404" $$unsorted)) % 35.01/35.25 (define @t427 () (@var "BOUND_VARIABLE_13402" $$unsorted)) % 35.01/35.25 (define @t428 () (@var "BOUND_VARIABLE_13403" $$unsorted)) % 35.01/35.25 (define @t429 () (@list @t427 @t428 @t426)) % 35.01/35.25 (define @t430 () (@var "BOUND_VARIABLE_10716" $$unsorted)) % 35.01/35.25 (define @t431 () (@var "BOUND_VARIABLE_10714" $$unsorted)) % 35.01/35.25 (define @t432 () (= (tptp.occ @t431 (|tptp.'**'| @t288 @t430)) (|tptp.'@+'| (tptp.occ @t431 @t288) (tptp.occ @t431 @t430)))) % 35.01/35.25 (define @t433 () (not (tptp.list_succeeds @t430))) % 35.01/35.25 (define @t434 () (or @t421 @t433 @t432)) % 35.01/35.25 (define @t435 () (@list @t288 @t431 @t430)) % 35.01/35.25 (define @t436 () (forall @t435 @t434)) % 35.01/35.25 (define @t437 () (not @t436)) % 35.01/35.25 (define @t438 () (@list true)) % 35.01/35.25 (define @t439 () (or @t433 @t432)) % 35.01/35.25 (define @t440 () (or @t421 @t439)) % 35.01/35.25 (define @t441 () (forall @t435 @t440)) % 35.01/35.25 (define @t442 () (@list @t431 @t430)) % 35.01/35.25 (define @t443 () (forall @t442 @t440)) % 35.01/35.25 (define @t444 () (forall @t442 @t439)) % 35.01/35.25 (define @t445 () (@list @t208 @t291)) % 35.01/35.25 (define @t446 () (or @t421 @t444)) % 35.01/35.25 (define @t447 () (forall @t333 (or @t402 @t380))) % 35.01/35.25 (define @t448 () (not (= @t406 @t288))) % 35.01/35.25 (define @t449 () (or @t448 @t404 @t403)) % 35.01/35.25 (define @t450 () (and @t449 @t400)) % 35.01/35.25 (define @t451 () (or @t450 @t398 @t397)) % 35.01/35.25 (define @t452 () (or @t398 @t397)) % 35.01/35.25 (define @t453 () (or @t450 @t452)) % 35.01/35.25 (define @t454 () (forall @t407 @t453)) % 35.01/35.25 (define @t455 () (forall (@list @t405 @t401 @t396 @t395) @t453)) % 35.01/35.25 (define @t456 () (forall (@list @t396 @t395) @t452)) % 35.01/35.25 (define @t457 () (@list @t405 @t401)) % 35.01/35.25 (define @t458 () (forall @t457 @t400)) % 35.01/35.25 (define @t459 () (forall @t457 @t449)) % 35.01/35.25 (define @t460 () (and @t459 @t458)) % 35.01/35.25 (define @t461 () (forall @t457 @t450)) % 35.01/35.25 (define @t462 () (or @t461 @t456)) % 35.01/35.25 (define @t463 () (forall @t333 (or @t402 @t385))) % 35.01/35.25 (define @t464 () (not @t463)) % 35.01/35.25 (define @t465 () (not @t170)) % 35.01/35.25 (define @t466 () (= @t171 @t288)) % 35.01/35.25 (define @t467 () (not @t466)) % 35.01/35.25 (define @t468 () (or @t467 @t465 @t464)) % 35.01/35.25 (define @t469 () (forall @t174 @t468)) % 35.01/35.25 (define @t470 () (not @t469)) % 35.01/35.25 (define @t471 () (or @t470 @t399)) % 35.01/35.25 (define @t472 () (and @t466 @t170 @t463)) % 35.01/35.25 (define @t473 () (forall @t174 (not @t472))) % 35.01/35.25 (define @t474 () (not @t473)) % 35.01/35.25 (define @t475 () (not @t408)) % 35.01/35.25 (define @t476 () (@quantifiers_skolemize @t408 4)) % 35.01/35.25 (define @t477 () (@quantifiers_skolemize @t408 3)) % 35.01/35.25 (define @t478 () (tptp.occ @t477 @t476)) % 35.01/35.25 (define @t479 () (tptp.occ @t477 @t412)) % 35.01/35.25 (define @t480 () (|tptp.'@+'| @t479 @t478)) % 35.01/35.25 (define @t481 () (|tptp.'**'| @t412 @t476)) % 35.01/35.25 (define @t482 () (tptp.occ @t477 @t481)) % 35.01/35.25 (define @t483 () (= @t482 @t480)) % 35.01/35.25 (define @t484 () (tptp.list_succeeds @t476)) % 35.01/35.25 (define @t485 () (not @t484)) % 35.01/35.25 (define @t486 () (forall @t333 (or @t402 (= (tptp.occ @t208 (|tptp.'**'| @t409 @t291)) (|tptp.'@+'| (tptp.occ @t208 @t409) @t379))))) % 35.01/35.25 (define @t487 () (not @t486)) % 35.01/35.25 (define @t488 () (tptp.list_succeeds @t409)) % 35.01/35.25 (define @t489 () (not @t488)) % 35.01/35.25 (define @t490 () (or @t418 @t489 @t487)) % 35.01/35.25 (define @t491 () (and @t490 @t414)) % 35.01/35.25 (define @t492 () (or @t491 @t485 @t483)) % 35.01/35.25 (define @t493 () (@list @t492)) % 35.01/35.25 (define @t494 () (not @t490)) % 35.01/35.25 (define @t495 () (|tptp.'**'| @t409 @t476)) % 35.01/35.25 (define @t496 () (tptp.cons @t410 @t495)) % 35.01/35.25 (define @t497 () (= (|tptp.'**'| @t415 @t476) @t496)) % 35.01/35.25 (define @t498 () (or @t489 @t497)) % 35.01/35.25 (define @t499 () (= @t279 @t317)) % 35.01/35.25 (define @t500 () (|tptp.'**'| @t409 tptp.nil)) % 35.01/35.25 (define @t501 () (= @t409 @t500)) % 35.01/35.25 (define @t502 () (or @t489 @t501)) % 35.01/35.25 (define @t503 () (tptp.occ @t410 @t409)) % 35.01/35.25 (define @t504 () (tptp.s @t503)) % 35.01/35.25 (define @t505 () (tptp.occ @t410 @t415)) % 35.01/35.25 (define @t506 () (= @t505 @t504)) % 35.01/35.25 (define @t507 () (or @t489 @t506)) % 35.01/35.25 (define @t508 () (or @t418 @t489)) % 35.01/35.25 (define @t509 () (or @t421 @t402 @t313)) % 35.01/35.25 (define @t510 () (tptp.list_succeeds @t495)) % 35.01/35.25 (define @t511 () (or @t489 @t485 @t510)) % 35.01/35.25 (define @t512 () (@list @t477 @t476)) % 35.01/35.25 (define @t513 () (tptp.occ @t477 @t409)) % 35.01/35.25 (define @t514 () (|tptp.'@+'| @t513 @t478)) % 35.01/35.25 (define @t515 () (tptp.occ @t477 @t495)) % 35.01/35.25 (define @t516 () (= @t515 @t514)) % 35.01/35.25 (define @t517 () (or @t485 @t516)) % 35.01/35.25 (define @t518 () (not (= @t415 @t412))) % 35.01/35.25 (define @t519 () (or @t518 @t489)) % 35.01/35.25 (define @t520 () (forall @t174 (or (not (= @t171 @t412)) @t465))) % 35.01/35.25 (define @t521 () (tptp.occ @t410 @t495)) % 35.01/35.25 (define @t522 () (tptp.s @t521)) % 35.01/35.25 (define @t523 () (= (tptp.occ @t410 @t496) @t522)) % 35.01/35.25 (define @t524 () (not @t510)) % 35.01/35.25 (define @t525 () (or @t524 @t523)) % 35.01/35.25 (define @t526 () (not @t520)) % 35.01/35.25 (define @t527 () (or @t526 @t413)) % 35.01/35.25 (define @t528 () (forall @t174 (not @t173))) % 35.01/35.25 (define @t529 () (not @t528)) % 35.01/35.25 (define @t530 () (not (= @t412 @t171))) % 35.01/35.25 (define @t531 () (or @t530 @t465)) % 35.01/35.25 (define @t532 () (forall @t174 @t531)) % 35.01/35.25 (define @t533 () (not @t532)) % 35.01/35.25 (define @t534 () (or @t533 @t413)) % 35.01/35.25 (define @t535 () (tptp.list_succeeds @t412)) % 35.01/35.25 (define @t536 () (= @t535 @t534)) % 35.01/35.25 (define @t537 () (forall @t179 (= @t177 (or (not (forall @t174 (or @t181 @t465))) (= tptp.nil @t118))))) % 35.01/35.25 (define @t538 () (= @t535 @t527)) % 35.01/35.25 (define @t539 () (@list false)) % 35.01/35.25 (define @t540 () (tptp.nat_succeeds @t479)) % 35.01/35.25 (define @t541 () (not @t535)) % 35.01/35.25 (define @t542 () (or @t541 @t540)) % 35.01/35.25 (define @t543 () (not @t182)) % 35.01/35.25 (define @t544 () (not (forall @t201 (or @t207 @t543)))) % 35.01/35.25 (define @t545 () (or @t544 (= @t329 @t118))) % 35.01/35.25 (define @t546 () (= @t204 @t545)) % 35.01/35.25 (define @t547 () (= |tptp.'0'| @t118)) % 35.01/35.25 (define @t548 () (or @t544 @t547)) % 35.01/35.25 (define @t549 () (= @t204 @t548)) % 35.01/35.25 (define @t550 () (forall @t201 (not @t200))) % 35.01/35.25 (define @t551 () (not @t550)) % 35.01/35.25 (define @t552 () (not (= @t479 @t198))) % 35.01/35.25 (define @t553 () (or @t552 @t543)) % 35.01/35.25 (define @t554 () (forall @t201 @t553)) % 35.01/35.25 (define @t555 () (not @t554)) % 35.01/35.25 (define @t556 () (or @t555 (= @t479 @t329))) % 35.01/35.25 (define @t557 () (= @t540 @t556)) % 35.01/35.25 (define @t558 () (forall @t179 (= @t204 (or @t544 (= @t118 @t329))))) % 35.01/35.25 (define @t559 () (= @t329 @t479)) % 35.01/35.25 (define @t560 () (forall @t201 (or (not (= @t198 @t479)) @t543))) % 35.01/35.25 (define @t561 () (not @t560)) % 35.01/35.25 (define @t562 () (or @t561 @t559)) % 35.01/35.25 (define @t563 () (= @t540 @t562)) % 35.01/35.25 (define @t564 () (not @t540)) % 35.01/35.25 (define @t565 () (not @t492)) % 35.01/35.25 (define @t566 () (forall @t311 (or @t421 @t310))) % 35.01/35.25 (define @t567 () (forall @t303 @t509)) % 35.01/35.25 (define @t568 () (= @t363 @t370)) % 35.01/35.25 (define @t569 () (not @t280)) % 35.01/35.25 (define @t570 () (or @t569 @t258 @t568)) % 35.01/35.25 (define @t571 () (tptp.occ @t477 @t415)) % 35.01/35.25 (define @t572 () (= @t513 @t571)) % 35.01/35.25 (define @t573 () (= @t477 @t410)) % 35.01/35.25 (define @t574 () (or @t489 @t573 @t572)) % 35.01/35.25 (define @t575 () (forall @t373 @t570)) % 35.01/35.25 (define @t576 () (= @t410 @t477)) % 35.01/35.25 (define @t577 () (or @t489 @t576 @t572)) % 35.01/35.25 (define @t578 () (@list @t575)) % 35.01/35.25 (define @t579 () (= @t515 (tptp.occ @t477 @t496))) % 35.01/35.25 (define @t580 () (or @t524 @t573 @t579)) % 35.01/35.25 (define @t581 () (or @t524 @t576 @t579)) % 35.01/35.25 (define @t582 () (and @t417 @t497 @t572 @t579 @t516)) % 35.01/35.25 (define @t583 () (not @t516)) % 35.01/35.25 (define @t584 () (not @t497)) % 35.01/35.25 (define @t585 () (not (= @t329 @t2))) % 35.01/35.25 (define @t586 () (not (= @t504 @t329))) % 35.01/35.25 (define @t587 () (forall @t5 (not (= @t2 @t329)))) % 35.01/35.25 (define @t588 () (= @t329 @t504)) % 35.01/35.25 (define @t589 () (and @t417 @t576 @t506 @t559)) % 35.01/35.25 (define @t590 () (@quantifiers_skolemize @t560 0)) % 35.01/35.25 (define @t591 () (tptp.nat_succeeds @t590)) % 35.01/35.25 (define @t592 () (not @t591)) % 35.01/35.25 (define @t593 () (tptp.s @t590)) % 35.01/35.25 (define @t594 () (= @t479 @t593)) % 35.01/35.25 (define @t595 () (not @t594)) % 35.01/35.25 (define @t596 () (or @t595 @t592)) % 35.01/35.25 (define @t597 () (not @t596)) % 35.01/35.25 (define @t598 () (not (= @t593 @t479))) % 35.01/35.25 (define @t599 () (or @t598 @t592)) % 35.01/35.25 (define @t600 () (not @t599)) % 35.01/35.25 (define @t601 () (= @t504 @t593)) % 35.01/35.25 (define @t602 () (and @t417 @t576 @t506 @t594)) % 35.01/35.25 (define @t603 () (|tptp.'@+'| @t593 @t478)) % 35.01/35.25 (define @t604 () (= @t603 (tptp.s (|tptp.'@+'| @t590 @t478)))) % 35.01/35.25 (define @t605 () (or @t592 @t604)) % 35.01/35.25 (define @t606 () (= @t503 @t590)) % 35.01/35.25 (define @t607 () (not @t601)) % 35.01/35.25 (define @t608 () (or @t607 @t606)) % 35.01/35.25 (define @t609 () (and @t417 @t497 @t501 @t576 @t594 @t606 @t523 @t516 @t604)) % 35.01/35.25 (define @t610 () (@list @t476)) % 35.01/35.25 (define @t611 () (= @t208 @t236)) % 35.01/35.25 (define @t612 () (not @t209)) % 35.01/35.25 (define @t613 () (or @t612 @t611)) % 35.01/35.25 (define @t614 () (@list false false)) % 35.01/35.25 (define @t615 () (tptp.list_succeeds @t481)) % 35.01/35.25 (define @t616 () (or @t541 @t485 @t615)) % 35.01/35.25 (define @t617 () (@list false false false)) % 35.01/35.25 (define @t618 () (tptp.nat_succeeds @t482)) % 35.01/35.25 (define @t619 () (not @t615)) % 35.01/35.25 (define @t620 () (or @t619 @t618)) % 35.01/35.25 (define @t621 () (|tptp.'@+'| @t482 @t329)) % 35.01/35.25 (define @t622 () (= @t482 @t621)) % 35.01/35.25 (define @t623 () (not @t618)) % 35.01/35.25 (define @t624 () (or @t623 @t622)) % 35.01/35.25 (define @t625 () (|tptp.'**'| @t476 tptp.nil)) % 35.01/35.25 (define @t626 () (= @t476 @t625)) % 35.01/35.25 (define @t627 () (or @t485 @t626)) % 35.01/35.25 (define @t628 () (not @t218)) % 35.01/35.25 (define @t629 () (tptp.nat_succeeds @t478)) % 35.01/35.25 (define @t630 () (or @t485 @t629)) % 35.01/35.25 (define @t631 () (= @t480 (|tptp.'@+'| @t478 @t479))) % 35.01/35.25 (define @t632 () (not @t629)) % 35.01/35.25 (define @t633 () (or @t564 @t632 @t631)) % 35.01/35.25 (define @t634 () (= @t476 (|tptp.'**'| tptp.nil @t476))) % 35.01/35.25 (define @t635 () (and @t413 @t631 @t626 @t559 @t622 @t634)) % 35.01/35.25 (define @t636 () (not @t559)) % 35.01/35.25 (define @t637 () (= |tptp.'0'| @t368)) % 35.01/35.25 (define @t638 () (tptp.occ @t477 tptp.nil)) % 35.01/35.25 (define @t639 () (= @t329 @t638)) % 35.01/35.25 (define @t640 () (not @t639)) % 35.01/35.25 (define @t641 () (and @t640 @t639)) % 35.01/35.25 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 35.01/35.25 (assume @p2 @t6) % 35.01/35.25 (assume @p3 (forall @t10 (not (= |tptp.'0'| @t9)))) % 35.01/35.25 (assume @p4 (forall (@list @t11) (not (= tptp.nil (tptp.s @t11))))) % 35.01/35.25 (assume @p5 @t14) % 35.01/35.25 (assume @p6 @t19) % 35.01/35.25 (assume @p7 (forall (@list @t22 @t21 @t20) (not (= (tptp.s @t22) (tptp.cons @t21 @t20))))) % 35.01/35.25 (assume @p8 (forall (@list @t26 @t24 @t25 @t23) (=> (= (tptp.cons @t26 @t24) (tptp.cons @t25 @t23)) (= @t24 @t23)))) % 35.01/35.25 (assume @p9 (forall (@list @t28 @t30 @t27 @t29) (=> (= (tptp.cons @t28 @t30) (tptp.cons @t27 @t29)) (= @t28 @t27)))) % 35.01/35.25 (assume @p10 (tptp.gr |tptp.'0'|)) % 35.01/35.25 (assume @p11 (tptp.gr tptp.nil)) % 35.01/35.25 (assume @p12 (forall (@list @t31) (= (tptp.gr @t31) (tptp.gr (tptp.s @t31))))) % 35.01/35.25 (assume @p13 (forall (@list @t33 @t32) (= (and (tptp.gr @t33) (tptp.gr @t32)) (tptp.gr (tptp.cons @t33 @t32))))) % 35.01/35.25 (assume @p14 (forall @t39 (not (and @t38 @t37)))) % 35.01/35.25 (assume @p15 (forall @t39 (=> (tptp.member2_terminates @t36 @t35 @t34) (or @t38 @t37)))) % 35.01/35.25 (assume @p16 (forall @t45 (not (and @t44 @t43)))) % 35.01/35.25 (assume @p17 (forall @t45 (=> (tptp.occ_terminates @t42 @t41 @t40) (or @t44 @t43)))) % 35.01/35.25 (assume @p18 (forall @t50 (not (and @t49 @t48)))) % 35.01/35.25 (assume @p19 (forall @t50 (=> (tptp.not_same_occ_terminates @t47 @t46) (or @t49 @t48)))) % 35.01/35.25 (assume @p20 (forall @t55 (not (and @t54 @t53)))) % 35.01/35.25 (assume @p21 (forall @t55 (=> (tptp.same_occ_terminates @t52 @t51) (or @t54 @t53)))) % 35.01/35.25 (assume @p22 (forall @t60 (not (and @t59 @t58)))) % 35.01/35.25 (assume @p23 (forall @t60 (=> (tptp.permutation_terminates @t57 @t56) (or @t59 @t58)))) % 35.01/35.25 (assume @p24 (forall @t66 (not (and @t65 @t64)))) % 35.01/35.25 (assume @p25 (forall @t66 (=> (tptp.delete_terminates @t63 @t62 @t61) (or @t65 @t64)))) % 35.01/35.25 (assume @p26 (forall @t71 (not (and @t70 @t69)))) % 35.01/35.25 (assume @p27 (forall @t71 (=> (tptp.length_terminates @t68 @t67) (or @t70 @t69)))) % 35.01/35.25 (assume @p28 (forall @t77 (not (and @t76 @t75)))) % 35.01/35.25 (assume @p29 (forall @t77 (=> (tptp.append_terminates @t74 @t73 @t72) (or @t76 @t75)))) % 35.01/35.25 (assume @p30 (forall @t82 (not (and @t81 @t80)))) % 35.01/35.25 (assume @p31 (forall @t82 (=> (tptp.member_terminates @t79 @t78) (or @t81 @t80)))) % 35.01/35.25 (assume @p32 (forall @t86 (not (and @t85 @t84)))) % 35.01/35.25 (assume @p33 (forall @t86 (=> (tptp.list_terminates @t83) (or @t85 @t84)))) % 35.01/35.25 (assume @p34 (forall @t90 (not (and @t89 @t88)))) % 35.01/35.25 (assume @p35 (forall @t90 (=> (tptp.nat_list_terminates @t87) (or @t89 @t88)))) % 35.01/35.25 (assume @p36 (forall @t96 (not (and @t95 @t94)))) % 35.01/35.25 (assume @p37 (forall @t96 (=> (tptp.times_terminates @t93 @t92 @t91) (or @t95 @t94)))) % 35.01/35.25 (assume @p38 (forall @t102 (not (and @t101 @t100)))) % 35.01/35.25 (assume @p39 (forall @t102 (=> (tptp.plus_terminates @t99 @t98 @t97) (or @t101 @t100)))) % 35.01/35.25 (assume @p40 (forall @t107 (not (and @t106 @t105)))) % 35.01/35.25 (assume @p41 (forall @t107 (=> (|tptp.'@=<_terminates'| @t104 @t103) (or @t106 @t105)))) % 35.01/35.25 (assume @p42 (forall @t112 (not (and @t111 @t110)))) % 35.01/35.25 (assume @p43 (forall @t112 (=> (|tptp.'@<_terminates'| @t109 @t108) (or @t111 @t110)))) % 35.01/35.25 (assume @p44 (forall @t116 (not (and @t115 @t114)))) % 35.01/35.25 (assume @p45 (forall @t116 (=> (tptp.nat_terminates @t113) (or @t115 @t114)))) % 35.01/35.25 (assume @p46 (forall @t120 (= (tptp.member2_succeeds @t118 @t117 @t1) (or (tptp.member_succeeds @t118 @t1) @t119)))) % 35.01/35.25 (assume @p47 (forall @t120 (= (tptp.member2_fails @t118 @t117 @t1) (and (tptp.member_fails @t118 @t1) @t121)))) % 35.01/35.25 (assume @p48 (forall @t120 (= (tptp.member2_terminates @t118 @t117 @t1) (and (tptp.member_terminates @t118 @t1) @t122)))) % 35.01/35.25 (assume @p49 (forall @t120 (= (tptp.occ_succeeds @t118 @t117 @t1) (or (exists @t10 (and @t129 (not @t128) (tptp.occ_succeeds @t118 @t7 @t1))) (exists @t127 (and @t126 @t125 (tptp.occ_succeeds @t118 @t11 @t13))) (and @t124 @t123))))) % 35.01/35.25 (assume @p50 (forall @t120 (= (tptp.occ_fails @t118 @t117 @t1) (and (forall @t10 (or @t134 @t128 (tptp.occ_fails @t118 @t7 @t1))) (forall @t127 (or @t133 @t132 (tptp.occ_fails @t118 @t11 @t13))) (or @t131 @t130))))) % 35.01/35.25 (assume @p51 (forall @t120 (= (tptp.occ_terminates @t118 @t117 @t1) (and (forall @t10 (and true (or @t134 (and true @t136 @t135 (or @t128 (tptp.occ_terminates @t118 @t7 @t1)))))) (forall @t127 (and true (or @t133 (and true (or @t132 (tptp.occ_terminates @t118 @t11 @t13)))))) true (or @t131 true))))) % 35.01/35.25 (assume @p52 (forall @t140 (= @t139 (exists @t138 (and (tptp.member2_succeeds @t1 @t118 @t117) (tptp.occ_succeeds @t1 @t118 @t8) (tptp.occ_succeeds @t1 @t117 @t7) (not @t137)))))) % 35.01/35.25 (assume @p53 (forall @t140 (= @t144 (forall @t138 (or @t143 @t142 @t141 @t137))))) % 35.01/35.25 (assume @p54 (forall @t140 (= @t145 (forall @t138 (and (tptp.member2_terminates @t1 @t118 @t117) (or @t143 (and (tptp.occ_terminates @t1 @t118 @t8) (or @t142 (and (tptp.occ_terminates @t1 @t117 @t7) (or @t141 (and true @t135 (tptp.gr @t7)))))))))))) % 35.01/35.25 (assume @p55 (forall @t140 (= (tptp.same_occ_succeeds @t118 @t117) @t144))) % 35.01/35.25 (assume @p56 (forall @t140 (= (tptp.same_occ_fails @t118 @t117) @t139))) % 35.01/35.25 (assume @p57 (forall @t140 (= (tptp.same_occ_terminates @t118 @t117) (and @t145 @t136 (tptp.gr @t117))))) % 35.01/35.25 (assume @p58 (forall @t140 (= (tptp.permutation_succeeds @t118 @t117) (or (exists @t138 (and @t148 (tptp.delete_succeeds @t1 @t118 @t7) (tptp.permutation_succeeds @t7 @t8))) (and @t146 @t124))))) % 35.01/35.25 (assume @p59 (forall @t140 (= (tptp.permutation_fails @t118 @t117) (and (forall @t138 (or @t151 @t150 (tptp.permutation_fails @t7 @t8))) (or @t149 @t131))))) % 35.01/35.25 (assume @p60 (forall @t140 (= (tptp.permutation_terminates @t118 @t117) (and (forall @t138 (and true (or @t151 (and (tptp.delete_terminates @t1 @t118 @t7) (or @t150 (tptp.permutation_terminates @t7 @t8)))))) true @t152)))) % 35.01/35.25 (assume @p61 (forall @t120 (= (tptp.delete_succeeds @t118 @t117 @t1) (or (exists @t155 (and @t129 @t154 (tptp.delete_succeeds @t118 @t7 @t11))) @t153)))) % 35.01/35.25 (assume @p62 (forall @t120 (= (tptp.delete_fails @t118 @t117 @t1) (and (forall @t155 (or @t134 @t156 (tptp.delete_fails @t118 @t7 @t11))) (not @t153))))) % 35.01/35.25 (assume @p63 (forall @t120 (= (tptp.delete_terminates @t118 @t117 @t1) (and (forall @t155 (and true (or @t134 (and true (or @t156 (tptp.delete_terminates @t118 @t7 @t11)))))) true)))) % 35.01/35.25 (assume @p64 (forall @t140 (= (tptp.length_succeeds @t118 @t117) (or (exists @t138 (and @t160 @t159 (tptp.length_succeeds @t8 @t7))) (and @t146 @t157))))) % 35.01/35.25 (assume @p65 (forall @t140 (= (tptp.length_fails @t118 @t117) (and (forall @t138 (or @t162 @t161 (tptp.length_fails @t8 @t7))) (or @t149 (not @t157)))))) % 35.01/35.25 (assume @p66 (forall @t140 (= (tptp.length_terminates @t118 @t117) (and (forall @t138 (and true (or @t162 (and true (or @t161 (tptp.length_terminates @t8 @t7)))))) true @t152)))) % 35.01/35.25 (assume @p67 (forall @t120 (= (tptp.append_succeeds @t118 @t117 @t1) (or (exists @t155 (and @t164 @t154 (tptp.append_succeeds @t7 @t117 @t11))) (and @t146 @t163))))) % 35.01/35.25 (assume @p68 (forall @t120 (= (tptp.append_fails @t118 @t117 @t1) (and (forall @t155 (or @t166 @t156 (tptp.append_fails @t7 @t117 @t11))) (or @t149 @t165))))) % 35.01/35.25 (assume @p69 (forall @t120 (= (tptp.append_terminates @t118 @t117 @t1) (and (forall @t155 (and true (or @t166 (and true (or @t156 (tptp.append_terminates @t7 @t117 @t11)))))) true @t152)))) % 35.01/35.25 (assume @p70 (forall @t140 (= @t119 (or (exists @t169 (and @t148 (tptp.member_succeeds @t118 @t8))) (exists @t168 @t167))))) % 35.01/35.25 (assume @p71 (forall @t140 (= @t121 (and (forall @t169 (or @t151 (tptp.member_fails @t118 @t8))) (forall @t168 (not @t167)))))) % 35.01/35.25 (assume @p72 (forall @t140 (= @t122 (and (forall @t169 (and true (or @t151 (tptp.member_terminates @t118 @t8)))) (forall @t168 true))))) % 35.01/35.25 (assume @p73 @t180) % 35.01/35.25 (assume @p74 (forall @t179 (= (tptp.list_fails @t118) (and (forall @t174 (or @t181 (tptp.list_fails @t1))) @t149)))) % 35.01/35.25 (assume @p75 (forall @t179 (= (tptp.list_terminates @t118) (and (forall @t174 (and true (or @t181 (tptp.list_terminates @t1)))) true)))) % 35.01/35.25 (assume @p76 (forall @t179 (= (tptp.nat_list_succeeds @t118) (or (exists @t174 (and @t172 @t182 (tptp.nat_list_succeeds @t1))) @t146)))) % 35.01/35.25 (assume @p77 (forall @t179 (= (tptp.nat_list_fails @t118) (and (forall @t174 (or @t181 @t183 (tptp.nat_list_fails @t1))) @t149)))) % 35.01/35.25 (assume @p78 (forall @t179 (= (tptp.nat_list_terminates @t118) (and (forall @t174 (and true (or @t181 (and @t184 (or @t183 (tptp.nat_list_terminates @t1)))))) true)))) % 35.01/35.25 (assume @p79 (forall @t120 (= (tptp.times_succeeds @t118 @t117 @t1) (or (exists @t10 (and @t187 (tptp.times_succeeds @t8 @t117 @t7) (tptp.plus_succeeds @t117 @t7 @t1))) (and @t185 @t123))))) % 35.01/35.25 (assume @p80 (forall @t120 (= (tptp.times_fails @t118 @t117 @t1) (and (forall @t10 (or @t190 @t189 (tptp.plus_fails @t117 @t7 @t1))) (or @t188 @t130))))) % 35.01/35.25 (assume @p81 (forall @t120 (= (tptp.times_terminates @t118 @t117 @t1) (and (forall @t10 (and true (or @t190 (and (tptp.times_terminates @t8 @t117 @t7) (or @t189 (tptp.plus_terminates @t117 @t7 @t1)))))) true @t191)))) % 35.01/35.25 (assume @p82 (forall @t120 (= (tptp.plus_succeeds @t118 @t117 @t1) (or (exists @t10 (and @t187 @t192 (tptp.plus_succeeds @t8 @t117 @t7))) (and @t185 @t163))))) % 35.01/35.25 (assume @p83 (forall @t120 (= (tptp.plus_fails @t118 @t117 @t1) (and (forall @t10 (or @t190 @t193 (tptp.plus_fails @t8 @t117 @t7))) (or @t188 @t165))))) % 35.01/35.25 (assume @p84 (forall @t120 (= (tptp.plus_terminates @t118 @t117 @t1) (and (forall @t10 (and true (or @t190 (and true (or @t193 (tptp.plus_terminates @t8 @t117 @t7)))))) true @t191)))) % 35.01/35.25 (assume @p85 (forall @t140 (= (|tptp.'@=<_succeeds'| @t118 @t117) (or (exists @t169 (and @t195 @t194 (|tptp.'@=<_succeeds'| @t1 @t8))) @t185)))) % 35.01/35.25 (assume @p86 (forall @t140 (= (|tptp.'@=<_fails'| @t118 @t117) (and (forall @t169 (or @t197 @t196 (|tptp.'@=<_fails'| @t1 @t8))) @t188)))) % 35.01/35.25 (assume @p87 (forall @t140 (= (|tptp.'@=<_terminates'| @t118 @t117) (and (forall @t169 (and true (or @t197 (and true (or @t196 (|tptp.'@=<_terminates'| @t1 @t8)))))) true)))) % 35.01/35.25 (assume @p88 (forall @t140 (= (|tptp.'@<_succeeds'| @t118 @t117) (or (exists @t169 (and @t195 @t194 (|tptp.'@<_succeeds'| @t1 @t8))) (exists @t168 (and @t185 @t159)))))) % 35.01/35.25 (assume @p89 (forall @t140 (= (|tptp.'@<_fails'| @t118 @t117) (and (forall @t169 (or @t197 @t196 (|tptp.'@<_fails'| @t1 @t8))) (forall @t168 (or @t188 @t161)))))) % 35.01/35.25 (assume @p90 (forall @t140 (= (|tptp.'@<_terminates'| @t118 @t117) (and (forall @t169 (and true (or @t197 (and true (or @t196 (|tptp.'@<_terminates'| @t1 @t8)))))) (forall @t168 (and true @t191)))))) % 35.01/35.25 (assume @p91 @t206) % 35.01/35.25 (assume @p92 (forall @t179 (= (tptp.nat_fails @t118) (and (forall @t201 (or @t207 @t183)) @t188)))) % 35.01/35.25 (assume @p93 (forall @t179 (= (tptp.nat_terminates @t118) (and (forall @t201 (and true (or @t207 @t184))) true)))) % 35.01/35.25 (assume @p94 (forall @t210 (=> @t209 (tptp.nat_terminates @t208)))) % 35.01/35.25 (assume @p95 (forall @t210 (=> @t209 @t211))) % 35.01/35.25 (assume @p96 (forall @t215 (=> @t209 @t214))) % 35.01/35.25 (assume @p97 (forall @t215 (=> @t216 @t214))) % 35.01/35.25 (assume @p98 (forall @t215 (=> @t217 @t209))) % 35.01/35.25 (assume @p99 (forall @t215 (=> (and @t217 @t218) @t216))) % 35.01/35.25 (assume @p100 (forall @t215 (=> (and @t217 @t216) @t218))) % 35.01/35.25 (assume @p101 (forall @t215 (=> @t217 @t214))) % 35.01/35.25 (assume @p102 (forall @t215 (=> @t217 @t211))) % 35.01/35.25 (assume @p103 (forall @t215 (=> (and @t217 @t220) @t219))) % 35.01/35.25 (assume @p104 (forall @t215 (=> (and @t217 @t219) @t220))) % 35.01/35.25 (assume @p105 (forall @t222 (=> @t209 (exists @t221 @t217)))) % 35.01/35.25 (assume @p106 (forall @t226 (=> (and (tptp.plus_succeeds @t208 @t213 @t224) (tptp.plus_succeeds @t208 @t213 @t223)) @t225))) % 35.01/35.25 (assume @p107 (forall @t227 (= (|tptp.'@+'| |tptp.'0'| @t213) @t213))) % 35.01/35.25 (assume @p108 @t232) % 35.01/35.25 (assume @p109 (forall @t222 (=> @t233 (tptp.nat_succeeds @t228)))) % 35.01/35.25 (assume @p110 (forall @t215 (=> @t235 (= (|tptp.'@+'| @t228 @t212) (|tptp.'@+'| @t208 @t234))))) % 35.01/35.25 (assume @p111 @t238) % 35.01/35.25 (assume @p112 (forall @t222 (=> @t233 (= @t240 @t230)))) % 35.01/35.25 (assume @p113 @t243) % 35.01/35.25 (assume @p114 (forall @t215 (=> (and @t209 (= @t228 @t244)) (= @t213 @t212)))) % 35.01/35.25 (assume @p115 (forall @t215 (=> @t245 @t209))) % 35.01/35.25 (assume @p116 (forall @t215 (=> (and @t245 @t218) @t216))) % 35.01/35.25 (assume @p117 (forall @t215 (=> @t245 @t211))) % 35.01/35.25 (assume @p118 (forall @t215 (=> (and @t245 @t220) @t219))) % 35.01/35.25 (assume @p119 (forall @t215 (=> @t233 (tptp.times_terminates @t208 @t213 @t212)))) % 35.01/35.25 (assume @p120 (forall @t222 (=> @t233 (exists @t221 @t245)))) % 35.01/35.25 (assume @p121 (forall @t226 (=> (and (tptp.times_succeeds @t208 @t213 @t224) (tptp.times_succeeds @t208 @t213 @t223)) @t225))) % 35.01/35.25 (assume @p122 (forall @t227 (=> @t218 (= (|tptp.'@*'| |tptp.'0'| @t213) |tptp.'0'|)))) % 35.01/35.25 (assume @p123 (forall @t222 (=> @t233 (= @t247 (|tptp.'@+'| @t213 @t246))))) % 35.01/35.25 (assume @p124 (forall @t222 (=> @t233 (tptp.nat_succeeds @t246)))) % 35.01/35.25 (assume @p125 (forall @t215 (=> @t235 (= (|tptp.'@*'| @t228 @t212) (|tptp.'@+'| @t249 @t248))))) % 35.01/35.25 (assume @p126 (forall @t215 (=> @t235 (= (|tptp.'@*'| @t246 @t212) (|tptp.'@*'| @t208 @t248))))) % 35.01/35.25 (assume @p127 (forall @t210 (=> @t209 (= (|tptp.'@*'| @t208 |tptp.'0'|) |tptp.'0'|)))) % 35.01/35.25 (assume @p128 (forall (@list @t213 @t208) (=> (and @t218 @t209) (= (|tptp.'@+'| @t250 @t213) (|tptp.'@*'| @t213 @t229))))) % 35.01/35.25 (assume @p129 (forall @t222 (=> @t233 (= @t246 @t250)))) % 35.01/35.25 (assume @p130 (forall @t210 (=> @t209 (= (|tptp.'@*'| @t251 @t208) @t208)))) % 35.01/35.25 (assume @p131 (forall @t210 (=> @t209 (= (|tptp.'@*'| @t208 @t251) @t208)))) % 35.01/35.25 (assume @p132 (forall @t215 (=> @t235 (= (|tptp.'@*'| @t212 @t228) (|tptp.'@+'| (|tptp.'@*'| @t212 @t208) (|tptp.'@*'| @t212 @t213)))))) % 35.01/35.25 (assume @p133 (forall @t222 (=> @t209 @t252))) % 35.01/35.25 (assume @p134 (forall @t222 (=> @t218 @t252))) % 35.01/35.25 (assume @p135 (forall @t222 (=> @t253 @t209))) % 35.01/35.25 (assume @p136 (forall @t222 (=> @t253 (exists @t221 (= @t213 @t254))))) % 35.01/35.25 (assume @p137 (forall @t215 (=> (and @t253 (|tptp.'@<_succeeds'| @t213 @t254)) @t255))) % 35.01/35.25 (assume @p138 (forall @t222 (=> @t253 @t256))) % 35.01/35.25 (assume @p139 (forall @t215 (=> (and @t253 @t257) @t255))) % 35.01/35.25 (assume @p140 (forall @t210 (=> @t209 (|tptp.'@<_fails'| @t208 @t208)))) % 35.01/35.25 (assume @p141 (forall @t210 (=> @t209 (not (|tptp.'@<_succeeds'| @t208 @t208))))) % 35.01/35.25 (assume @p142 (forall @t210 (=> @t209 (|tptp.'@<_succeeds'| @t208 @t229)))) % 35.01/35.25 (assume @p143 (forall @t222 (=> (and @t218 @t256) @t259))) % 35.01/35.25 (assume @p144 (forall @t222 (=> @t233 (or @t253 @t258 (|tptp.'@<_succeeds'| @t213 @t208))))) % 35.01/35.25 (assume @p145 (forall @t210 (=> (and @t209 @t260) (|tptp.'@<_succeeds'| |tptp.'0'| @t208)))) % 35.01/35.25 (assume @p146 (forall @t222 (=> @t209 (|tptp.'@=<_terminates'| @t208 @t213)))) % 35.01/35.25 (assume @p147 (forall @t222 (=> @t261 @t209))) % 35.01/35.25 (assume @p148 (forall @t222 (=> @t261 (exists @t221 (tptp.plus_succeeds @t208 @t212 @t213))))) % 35.01/35.25 (assume @p149 (forall @t222 (=> @t261 (exists @t221 (= @t244 @t213))))) % 35.01/35.25 (assume @p150 (forall @t222 (=> @t253 (exists @t221 (tptp.plus_succeeds @t208 @t254 @t213))))) % 35.01/35.25 (assume @p151 (forall @t222 (=> @t253 (exists @t221 (= (|tptp.'@+'| @t208 @t254) @t213))))) % 35.01/35.25 (assume @p152 (forall @t222 (=> @t253 @t261))) % 35.01/35.25 (assume @p153 (forall @t210 (=> @t209 (|tptp.'@=<_succeeds'| @t208 @t208)))) % 35.01/35.25 (assume @p154 (forall @t222 (=> @t233 (or @t261 @t262)))) % 35.01/35.25 (assume @p155 (forall @t222 (=> @t233 (or @t253 @t262)))) % 35.01/35.25 (assume @p156 (forall @t222 (=> (and @t209 @t218 (|tptp.'@=<_fails'| @t208 @t213)) @t262))) % 35.01/35.25 (assume @p157 (forall @t222 (=> (and @t261 @t218) @t259))) % 35.01/35.25 (assume @p158 (forall @t215 (=> (and @t261 @t257) @t255))) % 35.01/35.25 (assume @p159 (forall @t215 (=> (and @t253 @t263) @t255))) % 35.01/35.25 (assume @p160 (forall @t215 (=> (and @t261 @t263) (|tptp.'@=<_succeeds'| @t208 @t212)))) % 35.01/35.25 (assume @p161 (forall @t222 (=> (and @t261 @t262) @t258))) % 35.01/35.25 (assume @p162 (forall @t210 (=> @t209 (|tptp.'@=<_succeeds'| @t208 @t229)))) % 35.01/35.25 (assume @p163 (forall @t210 (=> @t209 (|tptp.'@=<_fails'| @t229 @t208)))) % 35.01/35.25 (assume @p164 (forall @t215 (=> (and @t209 @t257) @t264))) % 35.01/35.25 (assume @p165 (forall @t222 (=> @t209 (|tptp.'@<_succeeds'| @t208 @t240)))) % 35.01/35.25 (assume @p166 (forall @t215 (=> (and @t253 @t218 @t216) @t265))) % 35.01/35.25 (assume @p167 (forall @t222 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t213) @t209 @t218) (|tptp.'@<_succeeds'| @t208 @t241)))) % 35.01/35.25 (assume @p168 (forall @t215 (=> (and @t209 @t263) @t266))) % 35.01/35.25 (assume @p169 (forall @t215 (=> @t267 (|tptp.'@=<_succeeds'| @t244 @t234)))) % 35.01/35.25 (assume @p170 (forall @t222 (=> @t209 (|tptp.'@=<_succeeds'| @t208 @t228)))) % 35.01/35.25 (assume @p171 (forall @t222 (=> @t233 (|tptp.'@=<_succeeds'| @t213 @t228)))) % 35.01/35.25 (assume @p172 (forall @t215 (=> (and @t209 @t264) @t257))) % 35.01/35.25 (assume @p173 (forall @t215 (=> (and @t209 @t218 @t216 @t265) @t253))) % 35.01/35.25 (assume @p174 (forall @t215 (=> (and @t209 @t266) @t263))) % 35.01/35.25 (assume @p175 (forall @t275 (=> (and @t274 @t273 @t272) (|tptp.'@=<_succeeds'| @t271 @t270)))) % 35.01/35.25 (assume @p176 (forall @t275 (=> (and @t277 @t273 @t272) @t276))) % 35.01/35.25 (assume @p177 (forall @t275 (=> (and @t274 @t278 @t272) @t276))) % 35.01/35.25 (assume @p178 (forall @t275 (=> (and @t277 @t278 @t272) @t276))) % 35.01/35.25 (assume @p179 (forall @t215 (=> (and @t209 @t263 @t216) (|tptp.'@=<_succeeds'| @t246 @t249)))) % 35.01/35.25 (assume @p180 (forall @t215 (=> @t267 (|tptp.'@=<_succeeds'| @t249 @t248)))) % 35.01/35.25 (assume @p181 (forall @t215 (=> (and @t209 @t260 @t257 @t216) (|tptp.'@<_succeeds'| @t246 @t249)))) % 35.01/35.25 (assume @p182 (forall @t215 (=> (and @t209 @t218 @t216 (|tptp.'@=<_succeeds'| @t247 (|tptp.'@*'| @t229 @t212))) @t263))) % 35.01/35.25 (assume @p183 (forall (@list @t118 @t117 @t213) (=> (and @t204 @t182 @t218 (= (|tptp.'@+'| @t118 @t213) (|tptp.'@+'| @t117 @t213))) (= @t118 @t117)))) % 35.01/35.25 (assume @p184 (forall @t210 (tptp.list_succeeds (tptp.cons @t208 tptp.nil)))) % 35.01/35.25 (assume @p185 (forall @t222 (tptp.list_succeeds (tptp.cons @t208 (tptp.cons @t213 tptp.nil))))) % 35.01/35.25 (assume @p186 (forall @t215 (tptp.list_succeeds (tptp.cons @t208 (tptp.cons @t213 (tptp.cons @t212 tptp.nil)))))) % 35.01/35.25 (assume @p187 (forall @t282 (=> (tptp.list_succeeds @t281) @t280))) % 35.01/35.25 (assume @p188 (forall @t283 (=> @t280 (tptp.list_terminates @t279)))) % 35.01/35.25 (assume @p189 (forall @t282 (=> @t280 (tptp.member_terminates @t208 @t279)))) % 35.01/35.25 (assume @p190 (forall @t282 (=> @t280 (or @t284 (tptp.member_fails @t208 @t279))))) % 35.01/35.25 (assume @p191 (forall @t282 (=> (and @t284 @t285) @t211))) % 35.01/35.25 (assume @p192 (forall (@list @t208 @t213 @t212 @t279) (=> (and (tptp.member_succeeds @t208 @t287) @t286) @t284))) % 35.01/35.25 (assume @p193 (forall @t293 (=> @t292 @t289))) % 35.01/35.25 (assume @p194 (forall @t293 (=> (and @t292 @t295) @t294))) % 35.01/35.25 (assume @p195 (forall @t293 (=> @t296 @t295))) % 35.01/35.25 (assume @p196 (forall @t293 (=> @t296 @t297))) % 35.01/35.25 (assume @p197 (forall @t293 (=> @t289 @t298))) % 35.01/35.25 (assume @p198 (forall @t293 (=> @t294 @t298))) % 35.01/35.25 (assume @p199 (forall @t293 (=> (and @t292 @t301 @t300) @t299))) % 35.01/35.25 (assume @p200 (forall @t293 (=> (and @t292 @t299) @t302))) % 35.01/35.25 (assume @p201 (forall @t303 (=> @t289 (exists (@list @t290) @t292)))) % 35.01/35.25 (assume @p202 (forall @t305 (=> (and @t292 (tptp.append_succeeds @t288 @t291 @t304)) (= @t290 @t304)))) % 35.01/35.25 (assume @p203 @t307) % 35.01/35.25 (assume @p204 @t312) % 35.01/35.25 (assume @p205 @t314) % 35.01/35.25 (assume @p206 (forall @t303 (=> (and @t289 @t313) @t295))) % 35.01/35.25 (assume @p207 (forall @t303 (=> (and @t289 @t301 @t300) @t315))) % 35.01/35.25 (assume @p208 (forall @t303 (=> (and @t289 @t315) @t302))) % 35.01/35.25 (assume @p209 (forall @t293 (=> @t297 (= (|tptp.'**'| @t308 @t290) (|tptp.'**'| @t288 @t316))))) % 35.01/35.25 (assume @p210 @t319) % 35.01/35.25 (assume @p211 (forall @t324 (=> @t323 @t322))) % 35.01/35.25 (assume @p212 (forall @t324 (=> @t280 (tptp.length_terminates @t279 @t320)))) % 35.01/35.25 (assume @p213 (forall @t324 (=> @t323 @t325))) % 35.01/35.25 (assume @p214 (forall @t283 (=> @t280 (exists @t326 @t323)))) % 35.01/35.25 (assume @p215 (forall (@list @t279 @t327 @t320) (=> (and (tptp.length_succeeds @t279 @t327) @t323) @t328))) % 35.01/35.25 (assume @p216 (= @t329 |tptp.'0'|)) % 35.01/35.25 (assume @p217 (forall @t282 (=> @t280 (= @t331 (tptp.s @t330))))) % 35.01/35.25 (assume @p218 (forall @t283 (=> @t280 (tptp.nat_succeeds @t330)))) % 35.01/35.25 (assume @p219 (forall @t283 (=> (and @t280 (= @t330 |tptp.'0'|)) (= @t279 tptp.nil)))) % 35.01/35.25 (assume @p220 (forall (@list @t320 @t288) (=> (and @t289 (= @t335 @t334)) (exists @t333 (= @t288 @t332))))) % 35.01/35.25 (assume @p221 (forall @t303 (=> @t297 (= @t338 @t337)))) % 35.01/35.25 (assume @p222 (forall @t303 (=> @t297 (|tptp.'@=<_succeeds'| @t335 @t338)))) % 35.01/35.25 (assume @p223 (forall @t303 (=> @t297 (|tptp.'@=<_succeeds'| @t336 @t338)))) % 35.01/35.25 (assume @p224 (forall @t282 (=> @t280 (|tptp.'@=<_succeeds'| @t330 @t331)))) % 35.01/35.25 (assume @p225 (forall @t293 (=> @t296 (= @t337 @t339)))) % 35.01/35.25 (assume @p226 (forall @t293 (=> @t296 (|tptp.'@=<_succeeds'| @t335 @t339)))) % 35.01/35.25 (assume @p227 (forall @t293 (=> @t296 (|tptp.'@=<_succeeds'| @t336 @t339)))) % 35.01/35.25 (assume @p228 (forall (@list @t208 @t340) (tptp.sub @t340 @t341))) % 35.01/35.25 (assume @p229 (forall @t283 (tptp.sub @t279 @t279))) % 35.01/35.25 (assume @p230 (forall (@list @t340 @t343 @t342) (=> (and @t344 (tptp.sub @t343 @t342)) (tptp.sub @t340 @t342)))) % 35.01/35.25 (assume @p231 (forall @t283 (tptp.sub tptp.nil @t279))) % 35.01/35.25 (assume @p232 (forall @t345 (=> (and @t344 (tptp.member_succeeds @t208 @t343)) (tptp.sub @t341 @t343)))) % 35.01/35.25 (assume @p233 (forall @t345 (=> @t344 (tptp.sub @t341 (tptp.cons @t208 @t343))))) % 35.01/35.25 (assume @p234 (forall (@list @t208 @t290) (=> @t347 (exists @t303 @t346)))) % 35.01/35.25 (assume @p235 (forall @t349 (=> (and @t292 @t348) @t347))) % 35.01/35.25 (assume @p236 (forall @t349 (=> (and @t292 @t350) @t347))) % 35.01/35.25 (assume @p237 (forall @t311 (=> (and @t348 @t289) @t351))) % 35.01/35.25 (assume @p238 (forall @t311 (=> (and @t350 @t289) @t351))) % 35.01/35.25 (assume @p239 (forall @t349 (=> @t346 @t347))) % 35.01/35.25 (assume @p240 (forall @t349 (=> (and @t292 @t347) @t352))) % 35.01/35.25 (assume @p241 (forall @t311 (=> (and @t289 @t351) @t352))) % 35.01/35.25 (assume @p242 (forall @t303 (=> @t289 (tptp.sub @t288 @t308)))) % 35.01/35.25 (assume @p243 (forall @t303 (=> @t289 (tptp.sub @t291 @t308)))) % 35.01/35.25 (assume @p244 (forall @t349 (=> @t296 (not (= @t291 (tptp.cons @t208 @t290)))))) % 35.01/35.25 (assume @p245 (forall @t303 (=> (and (tptp.append_succeeds @t288 @t291 @t291) @t295) @t353))) % 35.01/35.25 (assume @p246 (forall @t305 (=> (and @t292 (tptp.append_succeeds @t304 @t291 @t290) @t294) (= @t288 @t304)))) % 35.01/35.25 (assume @p247 (forall @t293 (=> (and @t289 @t295 @t294 (= (|tptp.'**'| @t288 @t290) @t316)) (= @t288 @t291)))) % 35.01/35.25 (assume @p248 (forall @t305 (=> (and @t292 (tptp.append_succeeds @t288 @t304 @t290)) (= @t291 @t304)))) % 35.01/35.25 (assume @p249 (forall @t283 (=> @t354 @t280))) % 35.01/35.25 (assume @p250 (forall @t283 (=> @t354 (tptp.nat_list_terminates @t279)))) % 35.01/35.25 (assume @p251 (forall @t210 (=> (tptp.nat_list_succeeds @t208) @t211))) % 35.01/35.25 (assume @p252 (forall (@list @t208 @t288 @t291 @t320) (=> (and @t289 @t295 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t309) @t336) @t334)) @t355))) % 35.01/35.25 (assume @p253 (forall (@list @t288 @t213 @t291 @t320) (=> (and @t289 @t295 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t335 (tptp.lh (tptp.cons @t213 @t291))) @t334)) @t355))) % 35.01/35.25 (assume @p254 (forall @t311 (=> @t289 @t356))) % 35.01/35.25 (assume @p255 (forall @t311 (=> @t295 @t356))) % 35.01/35.25 (assume @p256 (forall @t311 (=> @t358 @t295))) % 35.01/35.25 (assume @p257 (forall @t311 (=> (and @t357 @t295) @t289))) % 35.01/35.25 (assume @p258 (forall @t311 (=> @t358 (= @t335 (tptp.s @t336))))) % 35.01/35.25 (assume @p259 (forall @t311 (=> @t289 (tptp.delete_succeeds @t208 (|tptp.'**'| @t288 @t332) @t308)))) % 35.01/35.25 (assume @p260 (forall @t311 (=> @t357 (exists (@list @t290 @t304) (and @t294 (= @t288 (|tptp.'**'| @t290 (tptp.cons @t208 @t304))) (= @t291 (|tptp.'**'| @t290 @t304))))))) % 35.01/35.25 (assume @p261 (forall @t311 (=> (and @t357 (tptp.nat_list_succeeds @t288)) (and @t209 (tptp.nat_list_succeeds @t291))))) % 35.01/35.25 (assume @p262 (forall @t311 (=> (and @t357 @t301) (and @t211 @t300)))) % 35.01/35.25 (assume @p263 (forall @t361 (=> (and @t357 @t360) (or @t359 (= @t213 @t208))))) % 35.01/35.25 (assume @p264 (forall @t311 (=> @t357 @t348))) % 35.01/35.25 (assume @p265 (forall @t361 (=> (and @t357 @t359) @t360))) % 35.01/35.25 (assume @p266 (forall (@list @t208 @t288) (=> @t348 (exists (@list @t291) @t357)))) % 35.01/35.25 (assume @p267 (forall @t361 (=> (and @t357 @t360 @t286) @t359))) % 35.01/35.25 (assume @p268 (forall @t215 (=> @t209 (= (= @t228 @t212) @t217)))) % 35.01/35.25 (assume @p269 (forall @t215 (=> @t233 (= (= @t246 @t212) @t245)))) % 35.01/35.25 (assume @p270 (forall @t293 (=> @t289 (= (= @t308 @t290) @t292)))) % 35.01/35.25 (assume @p271 (forall @t324 (=> @t280 (= (= @t330 @t320) @t323)))) % 35.01/35.25 (assume @p272 (forall @t303 (= (tptp.sub @t288 @t291) (forall @t210 (=> @t348 @t350))))) % 35.01/35.25 (assume @p273 (forall (@list @t208 @t279 @t327) (=> @t280 (= (= @t363 @t327) @t362)))) % 35.01/35.25 (assume @p274 (forall @t303 (=> (tptp.permutation_succeeds @t288 @t291) @t297))) % 35.01/35.25 (assume @p275 (forall (@list @t320 @t288 @t291) (=> (and @t321 @t289 (= @t335 @t320)) @t364))) % 35.01/35.25 (assume @p276 (forall @t303 (=> @t289 @t364))) % 35.01/35.25 (assume @p277 (forall @t311 (=> @t297 (tptp.member2_terminates @t208 @t288 @t291)))) % 35.01/35.25 (assume @p278 (forall @t365 (=> (and @t280 @t285 @t211) (tptp.occ_terminates @t208 @t279 @t320)))) % 35.01/35.25 (assume @p279 (forall @t311 (=> (and (tptp.member2_succeeds @t208 @t288 @t291) @t301 @t300) @t211))) % 35.01/35.25 (assume @p280 (forall @t365 (=> @t366 @t325))) % 35.01/35.25 (assume @p281 (forall @t303 (=> @t367 (tptp.not_same_occ_terminates @t288 @t291)))) % 35.01/35.25 (assume @p282 (forall @t303 (=> @t367 (tptp.same_occ_terminates @t288 @t291)))) % 35.01/35.25 (assume @p283 (forall @t365 (=> @t366 @t322))) % 35.01/35.25 (assume @p284 (forall @t282 (=> @t280 (exists @t326 @t366)))) % 35.01/35.25 (assume @p285 (forall (@list @t208 @t279 @t327 @t320) (=> (and @t362 @t366) @t328))) % 35.01/35.25 (assume @p286 @t369) % 35.01/35.25 (assume @p287 @t374) % 35.01/35.25 (assume @p288 @t376) % 35.01/35.25 (assume @p289 @t378) % 35.01/35.25 (assume @p290 @t392) % 35.01/35.25 (assume @p291 @t394) % 35.01/35.25 (assume @p292 true) % 35.01/35.25 (step @p293 :rule instantiate :premises (@p5) :args (@t411)) % 35.01/35.25 (step @p294 :rule refl :args (@t414)) % 35.01/35.25 (step @p295 :rule bool-double-not-elim :args (@t416)) % 35.01/35.25 (step @p296 :rule refl :args (@t418)) % 35.01/35.25 (step @p297 :rule nary_cong :premises (@p296 @p295 @p294) :args ((or @t418 (not @t419) @t414))) % 35.01/35.25 (assume-push @p1044 @t417) % 35.01/35.25 (assume-push @p1045 @t419) % 35.01/35.25 (assume-push @p1046 @t419) % 35.01/35.25 (assume-push @p1047 @t417) % 35.01/35.25 (step @p302 :rule false_intro :premises (@p293)) % 35.01/35.25 (step @p303 :rule refl :args (tptp.nil)) % 35.01/35.25 (step @p304 :rule cong :premises (@p303 @p1044) :args (@t413)) % 35.01/35.25 (step @p305 :rule trans :premises (@p304 @p302)) % 35.01/35.25 (step @p306 :rule false_elim :premises (@p305)) % 35.01/35.25 (step-pop @p1048 :rule scope :premises (@p306)) % 35.01/35.25 (step-pop @p1049 :rule scope :premises (@p1048)) % 35.01/35.25 (step @p307 :rule process_scope :premises (@p1049) :args (@t414)) % 35.01/35.25 (step @p310 :rule and_intro :premises (@p293 @p1044)) % 35.01/35.25 (step @p311 :rule modus_ponens :premises (@p310 @p307)) % 35.01/35.25 (step-pop @p1050 :rule scope :premises (@p311)) % 35.01/35.25 (step-pop @p1051 :rule scope :premises (@p1050)) % 35.01/35.25 (step @p312 :rule process_scope :premises (@p1051) :args (@t414)) % 35.01/35.25 (step @p315 :rule implies_elim :premises (@p312)) % 35.01/35.25 (step @p316 :rule cnf_and_neg :args (@t420)) % 35.01/35.25 (step @p317 :rule resolution :premises (@p316 @p315) :args (true @t420)) % 35.01/35.25 (step @p318 :rule eq_resolve :premises (@p317 @p297)) % 35.01/35.25 (step @p319 :rule reordering :premises (@p318) :args ((or @t418 @t414 @t416))) % 35.01/35.25 (step @p320 :rule aci_norm :args ((= (or @t423 @t380) @t422))) % 35.01/35.25 (step @p321 :rule refl :args (@t380)) % 35.01/35.25 (step @p322 :rule bool-and-de-morgan :args (@t289 @t295 true)) % 35.01/35.25 (step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or @t424 @t380))) % 35.01/35.25 (step @p324 :rule trans :premises (@p323 @p320)) % 35.01/35.25 (step @p325 :rule bool-impl-elim :args (@t297 @t380)) % 35.01/35.25 (step @p326 :rule trans :premises (@p325 @p324)) % 35.01/35.25 (step @p327 :rule cong :premises (@p326) :args (@t393)) % 35.01/35.25 (step @p328 :rule cong :premises (@p327) :args (@t394)) % 35.01/35.25 (step @p329 :rule eq_resolve :premises (@p291 @p328)) % 35.01/35.25 (step @p330 :rule quant_var_reordering :args ((= (forall (@list @t288 @t208 @t291) @t422) @t425))) % 35.01/35.25 (step @p331 :rule alpha_equiv :args ((forall (@list @t428 @t427 @t426) (or (not (tptp.list_succeeds @t428)) (not (tptp.list_succeeds @t426)) (= (tptp.occ @t427 (|tptp.'**'| @t428 @t426)) (|tptp.'@+'| (tptp.occ @t427 @t428) (tptp.occ @t427 @t426))))) @t429 (@list @t208 @t288 @t291))) % 35.01/35.25 (step @p332 :rule alpha_equiv :args (@t436 (@list @t431 @t288 @t430) @t429)) % 35.01/35.25 (step @p333 :rule trans :premises (@p332 @p331 @p330)) % 35.01/35.25 (step @p334 :rule equiv_elim1 :premises (@p333)) % 35.01/35.25 (step @p335 :rule reordering :premises (@p334) :args ((or @t425 @t437))) % 35.01/35.25 (step @p336 :rule chain_m_resolution :premises (@p335 @p329) :args (@t437 @t438 (@list @t425))) % 35.01/35.25 (step @p337 :rule aci_norm :args ((= @t440 @t434))) % 35.01/35.25 (step @p338 :rule cong :premises (@p337) :args (@t441)) % 35.01/35.25 (step @p339 :rule quant-merge-prenex :args ((= (forall @t383 @t443) @t441))) % 35.01/35.25 (step @p340 :rule alpha_equiv :args (@t444 (@list @t431 @t430) @t445)) % 35.01/35.25 (step @p341 :rule refl :args (@t421)) % 35.01/35.25 (step @p342 :rule nary_cong :premises (@p341 @p340) :args (@t446)) % 35.01/35.25 (step @p343 :rule quant-miniscope-or :args ((= @t443 @t446))) % 35.01/35.25 (step @p344 :rule trans :premises (@p343 @p342)) % 35.01/35.25 (step @p345 :rule symm :premises (@p344)) % 35.01/35.25 (step @p346 :rule cong :premises (@p345) :args ((forall @t383 (or @t421 @t447)))) % 35.01/35.25 (step @p347 :rule trans :premises (@p346 @p339)) % 35.01/35.25 (step @p348 :rule trans :premises (@p347 @p338)) % 35.01/35.25 (step @p349 :rule bool-impl-elim :args (@t289 @t447)) % 35.01/35.25 (step @p350 :rule cong :premises (@p349) :args ((forall @t383 (=> @t289 @t447)))) % 35.01/35.25 (step @p351 :rule trans :premises (@p350 @p348)) % 35.01/35.25 (step @p352 :rule bool-impl-elim :args (@t295 @t380)) % 35.01/35.25 (step @p353 :rule cong :premises (@p352) :args (@t381)) % 35.01/35.25 (step @p354 :rule refl :args (@t289)) % 35.01/35.25 (step @p355 :rule cong :premises (@p354 @p353) :args (@t382)) % 35.01/35.25 (step @p356 :rule cong :premises (@p355) :args (@t384)) % 35.01/35.25 (step @p357 :rule trans :premises (@p356 @p351)) % 35.01/35.25 (step @p358 :rule refl :args (@t397)) % 35.01/35.25 (step @p359 :rule refl :args (@t398)) % 35.01/35.25 (step @p360 :rule refl :args (@t400)) % 35.01/35.25 (step @p361 :rule refl :args (@t403)) % 35.01/35.25 (step @p362 :rule refl :args (@t404)) % 35.01/35.25 (step @p363 :rule eq-symm :args (@t406 @t288)) % 35.01/35.25 (step @p364 :rule cong :premises (@p363) :args (@t448)) % 35.01/35.25 (step @p365 :rule nary_cong :premises (@p364 @p362 @p361) :args (@t449)) % 35.01/35.25 (step @p366 :rule nary_cong :premises (@p365 @p360) :args (@t450)) % 35.01/35.25 (step @p367 :rule nary_cong :premises (@p366 @p359 @p358) :args (@t451)) % 35.01/35.25 (step @p368 :rule aci_norm :args ((= @t453 @t451))) % 35.01/35.25 (step @p369 :rule trans :premises (@p368 @p367)) % 35.01/35.25 (step @p370 :rule cong :premises (@p369) :args (@t454)) % 35.01/35.25 (step @p371 :rule quant-merge-prenex :args ((= (forall @t383 @t455) @t454))) % 35.01/35.25 (step @p372 :rule alpha_equiv :args (@t456 (@list @t396 @t395) @t445)) % 35.01/35.25 (step @p373 :rule quant-unused-vars :args ((= @t458 @t400))) % 35.01/35.25 (step @p374 :rule alpha_equiv :args (@t459 (@list @t405 @t401) (@list @t117 @t1))) % 35.01/35.25 (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t460)) % 35.01/35.25 (step @p376 :rule quant-miniscope-and :args ((= @t461 @t460))) % 35.01/35.25 (step @p377 :rule trans :premises (@p376 @p375)) % 35.01/35.25 (step @p378 :rule nary_cong :premises (@p377 @p372) :args (@t462)) % 35.01/35.25 (step @p379 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@t590))) % 35.01/35.26 (step @p820 :rule cnf_or_pos :args (@t608)) % 35.01/35.26 (step @p821 :rule reordering :premises (@p820) :args ((or @t607 @t606 (not @t608)))) % 35.01/35.26 (assume-push @p1128 @t417) % 35.01/35.26 (assume-push @p1129 @t497) % 35.01/35.26 (assume-push @p1130 @t501) % 35.01/35.26 (assume-push @p1131 @t576) % 35.01/35.26 (assume-push @p1132 @t594) % 35.01/35.26 (assume-push @p1133 @t606) % 35.01/35.26 (assume-push @p1134 @t523) % 35.01/35.26 (assume-push @p1135 @t516) % 35.01/35.26 (assume-push @p1136 @t604) % 35.01/35.26 (assume-push @p1137 @t594) % 35.01/35.26 (assume-push @p1138 @t604) % 35.01/35.26 (assume-push @p1139 @t606) % 35.01/35.26 (assume-push @p1140 @t501) % 35.01/35.26 (assume-push @p1141 @t576) % 35.01/35.26 (assume-push @p1142 @t516) % 35.01/35.26 (assume-push @p1143 @t523) % 35.01/35.26 (assume-push @p1144 @t497) % 35.01/35.26 (assume-push @p1145 @t417) % 35.01/35.26 (step @p676 :rule refl :args (@t478)) % 35.01/35.26 (step @p840 :rule symm 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(@p1131 @p853) :args (@t521)) % 35.01/35.26 (step @p855 :rule trans :premises (@p854 @p1135 @p852)) % 35.01/35.26 (step @p856 :rule cong :premises (@p855) :args (@t522)) % 35.01/35.26 (step @p683 :rule refl :args (@t476)) % 35.01/35.26 (step @p857 :rule cong :premises (@p1128 @p683) :args (@t481)) % 35.01/35.26 (step @p858 :rule trans :premises (@p857 @p1129)) % 35.01/35.26 (step @p859 :rule cong :premises (@p847 @p858) :args (@t482)) % 35.01/35.26 (step @p860 :rule trans :premises (@p859 @p1134 @p856 @p842 @p841)) % 35.01/35.26 (step-pop @p1146 :rule scope :premises (@p860)) % 35.01/35.26 (step-pop @p1147 :rule scope :premises (@p1146)) % 35.01/35.26 (step-pop @p1148 :rule scope :premises (@p1147)) % 35.01/35.26 (step-pop @p1149 :rule scope :premises (@p1148)) % 35.01/35.26 (step-pop @p1150 :rule scope :premises (@p1149)) % 35.01/35.26 (step-pop @p1151 :rule scope :premises (@p1150)) % 35.01/35.26 (step-pop @p1152 :rule scope :premises (@p1151)) % 35.01/35.26 (step-pop @p1153 :rule scope :premises (@p1152)) % 35.01/35.26 (step-pop @p1154 :rule scope :premises (@p1153)) % 35.01/35.26 (step @p861 :rule process_scope :premises (@p1154) :args (@t483)) % 35.01/35.26 (step @p871 :rule and_intro :premises (@p1132 @p1136 @p1133 @p1130 @p1131 @p1135 @p1134 @p1129 @p1128)) % 35.01/35.26 (step @p872 :rule modus_ponens :premises (@p871 @p861)) % 35.01/35.26 (step-pop @p1155 :rule scope :premises (@p872)) % 35.01/35.26 (step-pop @p1156 :rule scope :premises (@p1155)) % 35.01/35.26 (step-pop @p1157 :rule scope :premises (@p1156)) % 35.01/35.26 (step-pop @p1158 :rule scope :premises (@p1157)) % 35.01/35.26 (step-pop @p1159 :rule scope :premises (@p1158)) % 35.01/35.26 (step-pop @p1160 :rule scope :premises (@p1159)) % 35.01/35.26 (step-pop @p1161 :rule scope :premises (@p1160)) % 35.01/35.26 (step-pop @p1162 :rule scope :premises (@p1161)) % 35.01/35.26 (step-pop @p1163 :rule scope :premises (@p1162)) % 35.01/35.26 (step @p873 :rule process_scope :premises (@p1163) :args (@t483)) % 35.01/35.26 (step @p883 :rule implies_elim :premises (@p873)) % 35.01/35.26 (step @p884 :rule cnf_and_neg :args (@t609)) % 35.01/35.26 (step @p885 :rule resolution :premises (@p884 @p883) :args (true @t609)) % 35.01/35.26 (step @p886 :rule reordering :premises (@p885) :args ((or @t418 @t483 @t584 (not @t501) (not @t576) @t595 (not @t606) (not @t523) @t583 (not @t604)))) % 35.01/35.26 (step @p887 :rule chain_m_resolution :premises (@p886 @p665 @p821 @p819 @p815 @p813 @p809 @p782 @p777 @p771 @p754 @p752 @p726 @p706 @p598 @p596 @p553 @p551 @p547 @p545 @p515 @p509 @p476 @p507 @p505 @p504 @p492 @p487 @p485 @p476 @p469 @p467 @p465 @p461 @p459 @p450 @p448 @p444 @p439 @p433 @p426 @p319 @p293) :args (@t418 (@list true false false false false false false false true true true true false false false false false false false false false false false false true false false false false true false false false false false false false false true true true true) (@list @t483 @t606 @t608 @t604 @t605 @t601 @t591 @t594 @t596 @t560 @t559 @t588 @t576 @t562 @t563 @t540 @t542 @t535 @t538 @t527 @t516 @t484 @t523 @t525 @t520 @t517 @t510 @t511 @t484 @t508 @t506 @t507 @t501 @t502 @t497 @t498 @t486 @t488 @t490 @t491 @t413 @t416))) % 35.01/35.26 (step @p888 :rule bool-double-not-elim :args (@t417)) % 35.01/35.26 (step @p889 :rule nary_cong :premises (@p435 @p888) :args ((or @t490 (not @t418)))) % 35.01/35.26 (step @p890 :rule cnf_or_neg :args (@t490 0)) % 35.01/35.26 (step @p891 :rule eq_resolve :premises (@p890 @p889)) % 35.01/35.26 (step @p892 :rule reordering :premises (@p891) :args ((or @t417 @t490))) % 35.01/35.26 (step @p893 :rule chain_m_resolution :premises (@p892 @p887) :args (@t490 @t438 (@list @t417))) % 35.01/35.26 (step @p894 :rule chain_m_resolution :premises (@p433 @p426 @p893) :args (@t413 (@list true false) (@list @t491 @t490))) % 35.01/35.26 (step @p895 :rule eq-symm :args (@t306 @t279)) % 35.01/35.26 (step @p896 :rule cong :premises (@p895) :args (@t307)) % 35.01/35.26 (step @p897 :rule eq_resolve :premises (@p203 @p896)) % 35.01/35.26 (step @p898 :rule instantiate :premises (@p897) :args (@t610)) % 35.01/35.26 (step @p899 :rule refl :args (@t208)) % 35.01/35.26 (step @p900 :rule cong :premises (@p899 @p561) :args (@t236)) % 35.01/35.26 (step @p901 :rule cong :premises (@p899 @p900) :args (@t611)) % 35.01/35.26 (step @p902 :rule refl :args (@t612)) % 35.01/35.26 (step @p903 :rule nary_cong :premises (@p902 @p901) :args (@t613)) % 35.01/35.26 (step @p904 :rule cong :premises (@p903) :args ((forall @t210 @t613))) % 35.01/35.26 (step @p905 :rule bool-impl-elim :args (@t209 @t611)) % 35.01/35.26 (step @p906 :rule cong :premises (@p905) :args ((forall @t210 (=> @t209 @t611)))) % 35.01/35.26 (step @p907 :rule eq-symm :args (@t236 @t208)) % 35.01/35.26 (step @p908 :rule refl :args (@t209)) % 35.01/35.26 (step @p909 :rule cong :premises (@p908 @p907) :args (@t237)) % 35.01/35.26 (step @p910 :rule cong :premises (@p909) :args (@t238)) % 35.01/35.26 (step @p911 :rule trans :premises (@p910 @p906)) % 35.01/35.26 (step @p912 :rule trans :premises (@p911 @p904)) % 35.01/35.26 (step @p913 :rule eq_resolve :premises (@p111 @p912)) % 35.01/35.26 (step @p914 :rule instantiate :premises (@p913) :args ((@list @t482))) % 35.01/35.26 (step @p915 :rule instantiate :premises (@p550) :args ((@list @t477 @t481))) % 35.01/35.26 (step @p916 :rule instantiate :premises (@p484) :args ((@list @t412 @t476))) % 35.01/35.26 (step @p917 :rule cnf_or_neg :args (@t527 1)) % 35.01/35.26 (step @p918 :rule reordering :premises (@p917) :args ((or @t414 @t527))) % 35.01/35.26 (step @p919 :rule chain_m_resolution :premises (@p918 @p894) :args (@t527 @t539 (@list @t413))) % 35.01/35.26 (step @p920 :rule chain_m_resolution :premises (@p547 @p919 @p545) :args (@t535 @t614 (@list @t527 @t538))) % 35.01/35.26 (step @p921 :rule cnf_or_pos :args (@t616)) % 35.01/35.26 (step @p922 :rule reordering :premises (@p921) :args ((or @t485 @t541 @t615 (not @t616)))) % 35.01/35.26 (step @p923 :rule chain_m_resolution :premises (@p922 @p476 @p920 @p916) :args (@t615 @t617 (@list @t484 @t535 @t616))) % 35.01/35.26 (step @p924 :rule cnf_or_pos :args (@t620)) % 35.01/35.26 (step @p925 :rule reordering :premises (@p924) :args ((or @t619 @t618 (not @t620)))) % 35.01/35.26 (step @p926 :rule chain_m_resolution :premises (@p925 @p923 @p915) :args (@t618 @t614 (@list @t615 @t620))) % 35.01/35.26 (step @p927 :rule cnf_or_pos :args (@t624)) % 35.01/35.26 (step @p928 :rule reordering :premises (@p927) :args ((or @t623 @t622 (not @t624)))) % 35.01/35.26 (step @p929 :rule chain_m_resolution :premises (@p928 @p926 @p914) :args (@t622 @t614 (@list @t618 @t624))) % 35.01/35.26 (step @p930 :rule instantiate :premises (@p458) :args (@t610)) % 35.01/35.26 (step @p931 :rule cnf_or_pos :args (@t627)) % 35.01/35.26 (step @p932 :rule reordering :premises (@p931) :args ((or @t485 @t626 (not @t627)))) % 35.01/35.26 (step @p933 :rule chain_m_resolution :premises (@p932 @p476 @p930) :args (@t626 @t614 (@list @t484 @t627))) % 35.01/35.26 (step @p934 :rule aci_norm :args ((= (or (or @t612 @t628) @t242) (or @t612 @t628 @t242)))) % 35.01/35.26 (step @p935 :rule refl :args (@t242)) % 35.01/35.26 (step @p936 :rule bool-and-de-morgan :args (@t209 @t218 true)) % 35.01/35.26 (step @p937 :rule nary_cong :premises (@p936 @p935) :args ((or (not @t233) @t242))) % 35.01/35.26 (step @p938 :rule trans :premises (@p937 @p934)) % 35.01/35.26 (step @p939 :rule bool-impl-elim :args (@t233 @t242)) % 35.01/35.26 (step @p940 :rule trans :premises (@p939 @p938)) % 35.01/35.26 (step @p941 :rule cong :premises (@p940) :args (@t243)) % 35.01/35.26 (step @p942 :rule eq_resolve :premises (@p113 @p941)) % 35.01/35.26 (step @p943 :rule instantiate :premises (@p942) :args ((@list @t479 @t478))) % 35.01/35.26 (step @p944 :rule instantiate :premises (@p550) :args (@t512)) % 35.01/35.26 (step @p945 :rule cnf_or_pos :args (@t630)) % 35.01/35.26 (step @p946 :rule reordering :premises (@p945) :args ((or @t485 @t629 (not @t630)))) % 35.01/35.26 (step @p947 :rule chain_m_resolution :premises (@p946 @p476 @p944) :args (@t629 @t614 (@list @t484 @t630))) % 35.01/35.26 (step @p948 :rule chain_m_resolution :premises (@p553 @p920 @p551) :args (@t540 @t614 (@list @t535 @t542))) % 35.01/35.26 (step @p949 :rule cnf_or_pos :args (@t633)) % 35.01/35.26 (step @p950 :rule reordering :premises (@p949) :args ((or @t564 @t632 @t631 (not @t633)))) % 35.01/35.26 (step @p951 :rule chain_m_resolution :premises (@p950 @p948 @p947 @p943) :args (@t631 @t617 (@list @t540 @t629 @t633))) % 35.01/35.26 (assume-push @p1164 @t413) % 35.01/35.26 (assume-push @p1165 @t631) % 35.01/35.26 (assume-push @p1166 @t626) % 35.01/35.26 (assume-push @p1167 @t559) % 35.01/35.26 (assume-push @p1168 @t622) % 35.01/35.26 (assume-push @p1169 @t634) % 35.01/35.26 (assume-push @p1170 @t631) % 35.01/35.26 (assume-push @p1171 @t634) % 35.01/35.26 (assume-push @p1172 @t413) % 35.01/35.26 (assume-push @p1173 @t626) % 35.01/35.26 (assume-push @p1174 @t559) % 35.01/35.26 (assume-push @p1175 @t622) % 35.01/35.26 (step @p964 :rule symm :premises (@p1165)) % 35.01/35.26 (step @p965 :rule symm :premises (@p898)) % 35.01/35.26 (step @p966 :rule symm :premises (@p933)) % 35.01/35.26 (step @p967 :rule symm :premises (@p1164)) % 35.01/35.26 (step @p968 :rule cong :premises (@p967 @p966) :args ((|tptp.'**'| @t412 @t625))) % 35.01/35.26 (step @p969 :rule refl :args (@t412)) % 35.01/35.26 (step @p970 :rule cong :premises (@p969 @p933) :args (@t481)) % 35.01/35.26 (step @p971 :rule trans :premises (@p970 @p968 @p965)) % 35.01/35.26 (step @p678 :rule refl :args (@t477)) % 35.01/35.26 (step @p972 :rule cong :premises (@p678 @p971) :args (@t482)) % 35.01/35.26 (step @p973 :rule cong :premises (@p972 @p1167) :args (@t621)) % 35.01/35.26 (step @p974 :rule trans :premises (@p1168 @p973 @p964)) % 35.01/35.26 (step-pop @p1176 :rule scope :premises (@p974)) % 35.01/35.26 (step-pop @p1177 :rule scope :premises (@p1176)) % 35.01/35.26 (step-pop @p1178 :rule scope :premises (@p1177)) % 35.01/35.26 (step-pop @p1179 :rule scope :premises (@p1178)) % 35.01/35.26 (step-pop @p1180 :rule scope :premises (@p1179)) % 35.01/35.26 (step-pop @p1181 :rule scope :premises (@p1180)) % 35.01/35.26 (step @p975 :rule process_scope :premises (@p1181) :args (@t483)) % 35.01/35.26 (step @p982 :rule and_intro :premises (@p1165 @p898 @p1164 @p933 @p1167 @p1168)) % 35.01/35.26 (step @p983 :rule modus_ponens :premises (@p982 @p975)) % 35.01/35.26 (step-pop @p1182 :rule scope :premises (@p983)) % 35.01/35.26 (step-pop @p1183 :rule scope :premises (@p1182)) % 35.01/35.26 (step-pop @p1184 :rule scope :premises (@p1183)) % 35.01/35.26 (step-pop @p1185 :rule scope :premises (@p1184)) % 35.01/35.26 (step-pop @p1186 :rule scope :premises (@p1185)) % 35.01/35.26 (step-pop @p1187 :rule scope :premises (@p1186)) % 35.01/35.26 (step @p984 :rule process_scope :premises (@p1187) :args (@t483)) % 35.01/35.26 (step @p991 :rule implies_elim :premises (@p984)) % 35.01/35.26 (step @p992 :rule cnf_and_neg :args (@t635)) % 35.01/35.26 (step @p993 :rule resolution :premises (@p992 @p991) :args (true @t635)) % 35.01/35.26 (step @p994 :rule reordering :premises (@p993) :args ((or @t414 @t483 (not @t631) (not @t626) @t636 (not @t622) (not @t634)))) % 35.01/35.26 (step @p995 :rule chain_m_resolution :premises (@p994 @p894 @p665 @p951 @p933 @p929 @p898) :args (@t636 (@list false true false false false false) (@list @t413 @t483 @t631 @t626 @t622 @t634))) % 35.01/35.26 (step @p996 :rule refl :args (@t368)) % 35.01/35.26 (step @p997 :rule cong :premises (@p561 @p996) :args (@t637)) % 35.01/35.26 (step @p998 :rule cong :premises (@p997) :args ((forall @t210 @t637))) % 35.01/35.26 (step @p999 :rule eq-symm :args (@t368 |tptp.'0'|)) % 35.01/35.26 (step @p1000 :rule cong :premises (@p999) :args (@t369)) % 35.01/35.26 (step @p1001 :rule trans :premises (@p1000 @p998)) % 35.01/35.26 (step @p1002 :rule eq_resolve :premises (@p286 @p1001)) % 35.01/35.26 (step @p1003 :rule instantiate :premises (@p1002) :args ((@list @t477))) % 35.01/35.26 (step @p1004 :rule refl :args (@t640)) % 35.01/35.26 (step @p1005 :rule bool-double-not-elim :args (@t559)) % 35.01/35.26 (step @p1006 :rule nary_cong :premises (@p294 @p1005 @p1004) :args ((or @t414 (not @t636) @t640))) % 35.01/35.26 (assume-push @p1188 @t640) % 35.01/35.26 (assume-push @p1189 @t639) % 35.01/35.26 (step @p1009 :rule evaluate :args ((= false true))) % 35.01/35.26 (step @p1010 :rule true_intro :premises (@p1003)) % 35.01/35.26 (step @p1011 :rule false_intro :premises (@p1188)) % 35.01/35.26 (step @p1012 :rule symm :premises (@p1011)) % 35.01/35.26 (step @p1013 :rule trans :premises (@p1012 @p1010)) % 35.01/35.26 (step @p1014 false :rule eq_resolve :premises (@p1013 @p1009)) % 35.01/35.26 (step-pop @p1190 :rule scope :premises (@p1014)) % 35.01/35.26 (step-pop @p1191 :rule scope :premises (@p1190)) % 35.01/35.26 (step @p1015 :rule process_scope :premises (@p1191) :args (false)) % 35.01/35.26 (assume-push @p1192 @t413) % 35.01/35.26 (assume-push @p1193 @t636) % 35.01/35.26 (assume-push @p1194 @t639) % 35.01/35.26 (assume-push @p1195 @t636) % 35.01/35.26 (assume-push @p1196 @t413) % 35.01/35.26 (step @p1023 :rule false_intro :premises (@p1193)) % 35.01/35.26 (step @p678 :rule refl :args (@t477)) % 35.01/35.26 (step @p1024 :rule cong :premises (@p678 @p1192) :args (@t638)) % 35.01/35.26 (step @p1025 :rule refl :args (@t329)) % 35.01/35.26 (step @p1026 :rule cong :premises (@p1025 @p1024) :args (@t639)) % 35.01/35.26 (step @p1027 :rule trans :premises (@p1026 @p1023)) % 35.01/35.26 (step @p1028 :rule false_elim :premises (@p1027)) % 35.01/35.26 (step-pop @p1197 :rule scope :premises (@p1028)) % 35.01/35.26 (step-pop @p1198 :rule scope :premises (@p1197)) % 35.01/35.26 (step @p1029 :rule process_scope :premises (@p1198) :args (@t640)) % 35.01/35.26 (step @p1032 :rule and_intro :premises (@p1193 @p1192)) % 35.01/35.26 (step @p1033 :rule modus_ponens :premises (@p1032 @p1029)) % 35.01/35.26 (step @p1034 :rule and_intro :premises (@p1033 @p1003)) % 35.01/35.26 (step-pop @p1199 :rule scope :premises (@p1034)) % 35.01/35.26 (step-pop @p1200 :rule scope :premises (@p1199)) % 35.01/35.26 (step-pop @p1201 :rule scope :premises (@p1200)) % 35.01/35.26 (step @p1035 :rule process_scope :premises (@p1201) :args (@t641)) % 35.01/35.26 (step @p1039 :rule implies_elim :premises (@p1035)) % 35.01/35.26 (step @p1040 :rule resolution :premises (@p1039 @p1015) :args (true @t641)) % 35.01/35.26 (step @p1041 :rule not_and :premises (@p1040)) % 35.01/35.26 (step @p1042 :rule eq_resolve :premises (@p1041 @p1006)) % 35.01/35.26 (step @p1043 false :rule chain_m_resolution :premises (@p1042 @p1003 @p995 @p894) :args (false (@list false true false) (@list @t639 @t559 @t413))) % 35.01/35.26 ) % 35.01/35.26 % SZS output end Proof % 35.01/35.26 % cvc5 exiting %------------------------------------------------------------------------------