%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX023+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 : n016.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 09:07:00 AM UTC 2026 % Result : Theorem 0.83s 1.04s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX023+1 : TPTP v9.2.1. Released v9.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:54:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.83/1.04 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.83/1.04 % SZS status Theorem % 0.83/1.04 % SZS output start Proof % 0.83/1.04 ( % 0.83/1.04 (declare-sort $$unsorted 0) % 0.83/1.04 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.04 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.83/1.04 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.04 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.04 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.83/1.04 (declare-const |tptp.'0'| $$unsorted) % 0.83/1.04 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.nil $$unsorted) % 0.83/1.04 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 0.83/1.04 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.04 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.04 (define @t1 () (@var "Xx3" $$unsorted)) % 0.83/1.04 (define @t2 () (tptp.s @t1)) % 0.83/1.04 (define @t3 () (@var "Xx5" $$unsorted)) % 0.83/1.04 (define @t4 () (@var "Xx4" $$unsorted)) % 0.83/1.04 (define @t5 () (tptp.cons @t4 @t3)) % 0.83/1.04 (define @t6 () (@list @t4 @t3)) % 0.83/1.04 (define @t7 () (@var "Xx6" $$unsorted)) % 0.83/1.04 (define @t8 () (@var "Xx8" $$unsorted)) % 0.83/1.04 (define @t9 () (@var "Xx7" $$unsorted)) % 0.83/1.04 (define @t10 () (@var "Xx10" $$unsorted)) % 0.83/1.04 (define @t11 () (@var "Xx9" $$unsorted)) % 0.83/1.04 (define @t12 () (@var "Xx13" $$unsorted)) % 0.83/1.04 (define @t13 () (@var "Xx12" $$unsorted)) % 0.83/1.04 (define @t14 () (@var "Xx11" $$unsorted)) % 0.83/1.04 (define @t15 () (@var "Xx17" $$unsorted)) % 0.83/1.04 (define @t16 () (@var "Xx15" $$unsorted)) % 0.83/1.04 (define @t17 () (@var "Xx16" $$unsorted)) % 0.83/1.04 (define @t18 () (@var "Xx14" $$unsorted)) % 0.83/1.04 (define @t19 () (@var "Xx20" $$unsorted)) % 0.83/1.04 (define @t20 () (@var "Xx18" $$unsorted)) % 0.83/1.04 (define @t21 () (@var "Xx21" $$unsorted)) % 0.83/1.04 (define @t22 () (@var "Xx19" $$unsorted)) % 0.83/1.04 (define @t23 () (@var "Xx22" $$unsorted)) % 0.83/1.04 (define @t24 () (@var "Xx24" $$unsorted)) % 0.83/1.04 (define @t25 () (@var "Xx23" $$unsorted)) % 0.83/1.04 (define @t26 () (@var "Xx27" $$unsorted)) % 0.83/1.04 (define @t27 () (@var "Xx26" $$unsorted)) % 0.83/1.04 (define @t28 () (@var "Xx25" $$unsorted)) % 0.83/1.04 (define @t29 () (tptp.delete_fails @t28 @t27 @t26)) % 0.83/1.04 (define @t30 () (tptp.delete_succeeds @t28 @t27 @t26)) % 0.83/1.04 (define @t31 () (@list @t28 @t27 @t26)) % 0.83/1.04 (define @t32 () (@var "Xx29" $$unsorted)) % 0.83/1.04 (define @t33 () (@var "Xx28" $$unsorted)) % 0.83/1.04 (define @t34 () (tptp.length_fails @t33 @t32)) % 0.83/1.04 (define @t35 () (tptp.length_succeeds @t33 @t32)) % 0.83/1.04 (define @t36 () (@list @t33 @t32)) % 0.83/1.04 (define @t37 () (@var "Xx32" $$unsorted)) % 0.83/1.04 (define @t38 () (@var "Xx31" $$unsorted)) % 0.83/1.04 (define @t39 () (@var "Xx30" $$unsorted)) % 0.83/1.04 (define @t40 () (tptp.append_fails @t39 @t38 @t37)) % 0.83/1.04 (define @t41 () (tptp.append_succeeds @t39 @t38 @t37)) % 0.83/1.04 (define @t42 () (@list @t39 @t38 @t37)) % 0.83/1.04 (define @t43 () (@var "Xx34" $$unsorted)) % 0.83/1.04 (define @t44 () (@var "Xx33" $$unsorted)) % 0.83/1.04 (define @t45 () (tptp.member_fails @t44 @t43)) % 0.83/1.04 (define @t46 () (tptp.member_succeeds @t44 @t43)) % 0.83/1.04 (define @t47 () (@list @t44 @t43)) % 0.83/1.04 (define @t48 () (@var "Xx35" $$unsorted)) % 0.83/1.04 (define @t49 () (tptp.list_fails @t48)) % 0.83/1.04 (define @t50 () (tptp.list_succeeds @t48)) % 0.83/1.04 (define @t51 () (@list @t48)) % 0.83/1.04 (define @t52 () (@var "Xx36" $$unsorted)) % 0.83/1.04 (define @t53 () (tptp.nat_list_fails @t52)) % 0.83/1.04 (define @t54 () (tptp.nat_list_succeeds @t52)) % 0.83/1.04 (define @t55 () (@list @t52)) % 0.83/1.04 (define @t56 () (@var "Xx39" $$unsorted)) % 0.83/1.04 (define @t57 () (@var "Xx38" $$unsorted)) % 0.83/1.04 (define @t58 () (@var "Xx37" $$unsorted)) % 0.83/1.04 (define @t59 () (tptp.times_fails @t58 @t57 @t56)) % 0.83/1.04 (define @t60 () (tptp.times_succeeds @t58 @t57 @t56)) % 0.83/1.04 (define @t61 () (@list @t58 @t57 @t56)) % 0.83/1.04 (define @t62 () (@var "Xx42" $$unsorted)) % 0.83/1.04 (define @t63 () (@var "Xx41" $$unsorted)) % 0.83/1.04 (define @t64 () (@var "Xx40" $$unsorted)) % 0.83/1.04 (define @t65 () (tptp.plus_fails @t64 @t63 @t62)) % 0.83/1.04 (define @t66 () (tptp.plus_succeeds @t64 @t63 @t62)) % 0.83/1.04 (define @t67 () (@list @t64 @t63 @t62)) % 0.83/1.04 (define @t68 () (@var "Xx44" $$unsorted)) % 0.83/1.04 (define @t69 () (@var "Xx43" $$unsorted)) % 0.83/1.04 (define @t70 () (|tptp.'@=<_fails'| @t69 @t68)) % 0.83/1.04 (define @t71 () (|tptp.'@=<_succeeds'| @t69 @t68)) % 0.83/1.04 (define @t72 () (@list @t69 @t68)) % 0.83/1.04 (define @t73 () (@var "Xx46" $$unsorted)) % 0.83/1.04 (define @t74 () (@var "Xx45" $$unsorted)) % 0.83/1.04 (define @t75 () (|tptp.'@<_fails'| @t74 @t73)) % 0.83/1.04 (define @t76 () (|tptp.'@<_succeeds'| @t74 @t73)) % 0.83/1.04 (define @t77 () (@list @t74 @t73)) % 0.83/1.04 (define @t78 () (@var "Xx47" $$unsorted)) % 0.83/1.04 (define @t79 () (tptp.nat_fails @t78)) % 0.83/1.04 (define @t80 () (tptp.nat_succeeds @t78)) % 0.83/1.04 (define @t81 () (@list @t78)) % 0.83/1.04 (define @t82 () (@var "Xx1" $$unsorted)) % 0.83/1.04 (define @t83 () (@var "Xx2" $$unsorted)) % 0.83/1.04 (define @t84 () (= @t83 (tptp.cons @t82 @t1))) % 0.83/1.04 (define @t85 () (= @t1 (tptp.cons @t4 @t7))) % 0.83/1.04 (define @t86 () (= @t83 @t5)) % 0.83/1.04 (define @t87 () (@list @t4 @t3 @t7)) % 0.83/1.04 (define @t88 () (@list @t82 @t83 @t1)) % 0.83/1.04 (define @t89 () (not @t85)) % 0.83/1.04 (define @t90 () (not @t86)) % 0.83/1.04 (define @t91 () (= @t83 |tptp.'0'|)) % 0.83/1.04 (define @t92 () (= @t82 tptp.nil)) % 0.83/1.04 (define @t93 () (tptp.s @t3)) % 0.83/1.04 (define @t94 () (= @t83 @t93)) % 0.83/1.04 (define @t95 () (tptp.cons @t1 @t4)) % 0.83/1.04 (define @t96 () (= @t82 @t95)) % 0.83/1.04 (define @t97 () (@list @t1 @t4 @t3)) % 0.83/1.04 (define @t98 () (@list @t82 @t83)) % 0.83/1.04 (define @t99 () (not @t92)) % 0.83/1.04 (define @t100 () (not @t94)) % 0.83/1.04 (define @t101 () (not @t96)) % 0.83/1.04 (define @t102 () (or @t99 true)) % 0.83/1.04 (define @t103 () (= @t1 @t83)) % 0.83/1.04 (define @t104 () (= @t82 @t5)) % 0.83/1.04 (define @t105 () (not @t103)) % 0.83/1.04 (define @t106 () (not @t104)) % 0.83/1.04 (define @t107 () (= @t83 (tptp.cons @t82 @t3))) % 0.83/1.04 (define @t108 () (@list @t3)) % 0.83/1.04 (define @t109 () (= @t83 @t95)) % 0.83/1.04 (define @t110 () (@list @t1 @t4)) % 0.83/1.04 (define @t111 () (not @t109)) % 0.83/1.04 (define @t112 () (tptp.list_succeeds @t1)) % 0.83/1.04 (define @t113 () (tptp.cons @t83 @t1)) % 0.83/1.04 (define @t114 () (= @t82 @t113)) % 0.83/1.04 (define @t115 () (@list @t83 @t1)) % 0.83/1.04 (define @t116 () (@list @t82)) % 0.83/1.04 (define @t117 () (not @t114)) % 0.83/1.04 (define @t118 () (tptp.nat_succeeds @t83)) % 0.83/1.04 (define @t119 () (tptp.nat_fails @t83)) % 0.83/1.04 (define @t120 () (tptp.nat_terminates @t83)) % 0.83/1.04 (define @t121 () (= @t1 |tptp.'0'|)) % 0.83/1.04 (define @t122 () (= @t82 |tptp.'0'|)) % 0.83/1.04 (define @t123 () (tptp.s @t4)) % 0.83/1.04 (define @t124 () (= @t82 @t123)) % 0.83/1.04 (define @t125 () (not @t122)) % 0.83/1.04 (define @t126 () (tptp.times_fails @t4 @t83 @t3)) % 0.83/1.04 (define @t127 () (not @t124)) % 0.83/1.04 (define @t128 () (or @t125 true)) % 0.83/1.04 (define @t129 () (= @t1 @t93)) % 0.83/1.04 (define @t130 () (not @t129)) % 0.83/1.04 (define @t131 () (= @t83 @t123)) % 0.83/1.04 (define @t132 () (= @t82 @t2)) % 0.83/1.05 (define @t133 () (not @t131)) % 0.83/1.05 (define @t134 () (not @t132)) % 0.83/1.05 (define @t135 () (= @t82 (tptp.s @t83))) % 0.83/1.05 (define @t136 () (@list @t83)) % 0.83/1.05 (define @t137 () (tptp.nat_succeeds @t82)) % 0.83/1.05 (define @t138 () (not @t135)) % 0.83/1.05 (define @t139 () (@var "Xx" $$unsorted)) % 0.83/1.05 (define @t140 () (tptp.nat_succeeds @t139)) % 0.83/1.05 (define @t141 () (@list @t139)) % 0.83/1.05 (define @t142 () (tptp.gr @t139)) % 0.83/1.05 (define @t143 () (@var "Xz" $$unsorted)) % 0.83/1.05 (define @t144 () (@var "Xy" $$unsorted)) % 0.83/1.05 (define @t145 () (tptp.plus_terminates @t139 @t144 @t143)) % 0.83/1.05 (define @t146 () (@list @t139 @t144 @t143)) % 0.83/1.05 (define @t147 () (tptp.nat_succeeds @t143)) % 0.83/1.05 (define @t148 () (tptp.plus_succeeds @t139 @t144 @t143)) % 0.83/1.05 (define @t149 () (tptp.nat_succeeds @t144)) % 0.83/1.05 (define @t150 () (tptp.gr @t143)) % 0.83/1.05 (define @t151 () (tptp.gr @t144)) % 0.83/1.05 (define @t152 () (@list @t143)) % 0.83/1.05 (define @t153 () (@list @t139 @t144)) % 0.83/1.05 (define @t154 () (@var "Xz2" $$unsorted)) % 0.83/1.05 (define @t155 () (@var "Xz1" $$unsorted)) % 0.83/1.05 (define @t156 () (= @t155 @t154)) % 0.83/1.05 (define @t157 () (@list @t139 @t144 @t155 @t154)) % 0.83/1.05 (define @t158 () (|tptp.'@+'| |tptp.'0'| @t144)) % 0.83/1.05 (define @t159 () (@list @t144)) % 0.83/1.05 (define @t160 () (forall @t159 (= @t158 @t144))) % 0.83/1.05 (define @t161 () (|tptp.'@+'| @t139 @t144)) % 0.83/1.05 (define @t162 () (tptp.s @t139)) % 0.83/1.05 (define @t163 () (|tptp.'@+'| @t162 @t144)) % 0.83/1.05 (define @t164 () (= @t163 (tptp.s @t161))) % 0.83/1.05 (define @t165 () (forall @t153 (=> @t140 @t164))) % 0.83/1.05 (define @t166 () (and @t140 @t149)) % 0.83/1.05 (define @t167 () (|tptp.'@+'| @t144 @t143)) % 0.83/1.05 (define @t168 () (and @t140 @t149 @t147)) % 0.83/1.05 (define @t169 () (tptp.s @t144)) % 0.83/1.05 (define @t170 () (|tptp.'@+'| @t139 @t169)) % 0.83/1.05 (define @t171 () (|tptp.'@+'| @t144 @t139)) % 0.83/1.05 (define @t172 () (|tptp.'@+'| @t139 @t143)) % 0.83/1.05 (define @t173 () (tptp.times_succeeds @t139 @t144 @t143)) % 0.83/1.05 (define @t174 () (|tptp.'@*'| @t139 @t144)) % 0.83/1.05 (define @t175 () (|tptp.'@*'| @t162 @t144)) % 0.83/1.05 (define @t176 () (|tptp.'@*'| @t144 @t143)) % 0.83/1.05 (define @t177 () (|tptp.'@*'| @t139 @t143)) % 0.83/1.05 (define @t178 () (|tptp.'@*'| @t144 @t139)) % 0.83/1.05 (define @t179 () (tptp.s |tptp.'0'|)) % 0.83/1.05 (define @t180 () (|tptp.'@<_terminates'| @t139 @t144)) % 0.83/1.05 (define @t181 () (|tptp.'@<_succeeds'| @t139 @t144)) % 0.83/1.05 (define @t182 () (tptp.s @t143)) % 0.83/1.05 (define @t183 () (|tptp.'@<_succeeds'| @t139 @t143)) % 0.83/1.05 (define @t184 () (|tptp.'@<_succeeds'| @t139 @t169)) % 0.83/1.05 (define @t185 () (|tptp.'@<_succeeds'| @t144 @t143)) % 0.83/1.05 (define @t186 () (= @t139 @t144)) % 0.83/1.05 (define @t187 () (or @t181 @t186)) % 0.83/1.05 (define @t188 () (not (= @t139 |tptp.'0'|))) % 0.83/1.05 (define @t189 () (|tptp.'@=<_succeeds'| @t139 @t144)) % 0.83/1.05 (define @t190 () (|tptp.'@=<_succeeds'| @t144 @t139)) % 0.83/1.05 (define @t191 () (|tptp.'@=<_succeeds'| @t144 @t143)) % 0.83/1.05 (define @t192 () (|tptp.'@<_succeeds'| @t161 @t172)) % 0.83/1.05 (define @t193 () (|tptp.'@<_succeeds'| @t172 @t167)) % 0.83/1.05 (define @t194 () (|tptp.'@=<_succeeds'| @t161 @t172)) % 0.83/1.05 (define @t195 () (and @t189 @t149 @t147)) % 0.83/1.05 (define @t196 () (@var "Xy2" $$unsorted)) % 0.83/1.05 (define @t197 () (@var "Xy1" $$unsorted)) % 0.83/1.05 (define @t198 () (|tptp.'@+'| @t197 @t196)) % 0.83/1.05 (define @t199 () (|tptp.'@+'| @t82 @t83)) % 0.83/1.05 (define @t200 () (tptp.nat_succeeds @t197)) % 0.83/1.05 (define @t201 () (|tptp.'@=<_succeeds'| @t83 @t196)) % 0.83/1.05 (define @t202 () (|tptp.'@=<_succeeds'| @t82 @t197)) % 0.83/1.05 (define @t203 () (@list @t82 @t83 @t197 @t196)) % 0.83/1.05 (define @t204 () (|tptp.'@<_succeeds'| @t199 @t198)) % 0.83/1.05 (define @t205 () (|tptp.'@<_succeeds'| @t82 @t197)) % 0.83/1.05 (define @t206 () (|tptp.'@<_succeeds'| @t83 @t196)) % 0.83/1.05 (define @t207 () (@var "Xl3" $$unsorted)) % 0.83/1.05 (define @t208 () (@var "Xl2" $$unsorted)) % 0.83/1.05 (define @t209 () (@var "Xl1" $$unsorted)) % 0.83/1.05 (define @t210 () (tptp.append_succeeds @t209 @t208 @t207)) % 0.83/1.05 (define @t211 () (|tptp.'**'| @t209 @t208)) % 0.83/1.05 (define @t212 () (tptp.list_succeeds @t209)) % 0.83/1.05 (define @t213 () (@list @t209 @t208 @t207)) % 0.83/1.05 (define @t214 () (@var "Xn" $$unsorted)) % 0.83/1.05 (define @t215 () (@var "Xl" $$unsorted)) % 0.83/1.05 (define @t216 () (tptp.length_succeeds @t215 @t214)) % 0.83/1.05 (define @t217 () (tptp.lh @t215)) % 0.83/1.05 (define @t218 () (tptp.list_succeeds @t215)) % 0.83/1.05 (define @t219 () (@list @t215 @t214)) % 0.83/1.05 (define @t220 () (@list @t209 @t208)) % 0.83/1.05 (define @t221 () (tptp.cons @t139 @t215)) % 0.83/1.05 (define @t222 () (@list @t139 @t215)) % 0.83/1.05 (define @t223 () (@list @t215)) % 0.83/1.05 (define @t224 () (tptp.member_succeeds @t139 @t215)) % 0.83/1.05 (define @t225 () (tptp.list_succeeds @t207)) % 0.83/1.05 (define @t226 () (tptp.list_succeeds @t208)) % 0.83/1.05 (define @t227 () (and @t210 @t225)) % 0.83/1.05 (define @t228 () (and @t212 @t226)) % 0.83/1.05 (define @t229 () (tptp.append_terminates @t209 @t208 @t207)) % 0.83/1.05 (define @t230 () (tptp.gr @t207)) % 0.83/1.05 (define @t231 () (tptp.gr @t208)) % 0.83/1.05 (define @t232 () (tptp.gr @t209)) % 0.83/1.05 (define @t233 () (and @t232 @t231)) % 0.83/1.05 (define @t234 () (@var "Xl4" $$unsorted)) % 0.83/1.05 (define @t235 () (|tptp.'**'| tptp.nil @t215)) % 0.83/1.05 (define @t236 () (forall @t223 (= @t235 @t215))) % 0.83/1.05 (define @t237 () (= (|tptp.'**'| (tptp.cons @t139 @t209) @t208) (tptp.cons @t139 @t211))) % 0.83/1.05 (define @t238 () (forall (@list @t139 @t209 @t208) (=> @t212 @t237))) % 0.83/1.05 (define @t239 () (tptp.list_succeeds @t211)) % 0.83/1.05 (define @t240 () (forall @t220 (=> @t228 @t239))) % 0.83/1.05 (define @t241 () (tptp.gr @t211)) % 0.83/1.05 (define @t242 () (@var "Xm" $$unsorted)) % 0.83/1.05 (define @t243 () (tptp.lh tptp.nil)) % 0.83/1.05 (define @t244 () (= (tptp.lh @t221) (tptp.s @t217))) % 0.83/1.05 (define @t245 () (forall @t222 (=> @t218 @t244))) % 0.83/1.05 (define @t246 () (tptp.nat_succeeds @t217)) % 0.83/1.05 (define @t247 () (forall @t223 (=> @t218 @t246))) % 0.83/1.05 (define @t248 () (tptp.lh @t209)) % 0.83/1.05 (define @t249 () (tptp.lh @t208)) % 0.83/1.05 (define @t250 () (= (tptp.lh @t211) (|tptp.'@+'| @t248 @t249))) % 0.83/1.05 (define @t251 () (@list @t208)) % 0.83/1.05 (define @t252 () (forall @t251 (=> @t226 @t250))) % 0.83/1.05 (define @t253 () (=> @t212 @t252)) % 0.83/1.05 (define @t254 () (@list @t209)) % 0.83/1.05 (define @t255 () (forall @t254 @t253)) % 0.83/1.05 (define @t256 () (= (tptp.lh (|tptp.'**'| @t1 @t208)) (|tptp.'@+'| (tptp.lh @t1) @t249))) % 0.83/1.05 (define @t257 () (forall @t251 (=> @t226 @t256))) % 0.83/1.05 (define @t258 () (and (= @t209 @t113) @t112 @t257)) % 0.83/1.05 (define @t259 () (exists @t115 @t258)) % 0.83/1.05 (define @t260 () (or @t259 (= @t209 tptp.nil))) % 0.83/1.05 (define @t261 () (=> @t260 @t252)) % 0.83/1.05 (define @t262 () (forall @t254 @t261)) % 0.83/1.05 (define @t263 () (=> @t262 @t255)) % 0.83/1.05 (define @t264 () (forall @t220 (=> @t228 @t250))) % 0.83/1.05 (define @t265 () (not @t264)) % 0.83/1.05 (define @t266 () (not @t226)) % 0.83/1.05 (define @t267 () (not @t212)) % 0.83/1.05 (define @t268 () (or @t267 @t266 @t250)) % 0.83/1.05 (define @t269 () (or @t267 @t266)) % 0.83/1.05 (define @t270 () (not @t228)) % 0.83/1.05 (define @t271 () (@var "BOUND_VARIABLE_11377" $$unsorted)) % 0.83/1.05 (define @t272 () (@var "BOUND_VARIABLE_11376" $$unsorted)) % 0.83/1.05 (define @t273 () (@list @t272 @t271)) % 0.83/1.05 (define @t274 () (@var "BOUND_VARIABLE_9700" $$unsorted)) % 0.83/1.05 (define @t275 () (= (tptp.lh (|tptp.'**'| @t209 @t274)) (|tptp.'@+'| @t248 (tptp.lh @t274)))) % 0.83/1.05 (define @t276 () (not (tptp.list_succeeds @t274))) % 0.83/1.05 (define @t277 () (or @t267 @t276 @t275)) % 0.83/1.05 (define @t278 () (@list @t209 @t274)) % 0.83/1.05 (define @t279 () (forall @t278 @t277)) % 0.83/1.05 (define @t280 () (not @t279)) % 0.83/1.05 (define @t281 () (forall @t220 @t268)) % 0.83/1.05 (define @t282 () (@list true)) % 0.83/1.05 (define @t283 () (or @t276 @t275)) % 0.83/1.05 (define @t284 () (or @t267 @t283)) % 0.83/1.05 (define @t285 () (forall @t278 @t284)) % 0.83/1.05 (define @t286 () (@list @t274)) % 0.83/1.05 (define @t287 () (forall @t286 @t284)) % 0.83/1.05 (define @t288 () (forall @t286 @t283)) % 0.83/1.05 (define @t289 () (@list @t208)) % 0.83/1.05 (define @t290 () (or @t267 @t288)) % 0.83/1.05 (define @t291 () (forall @t251 (or @t266 @t250))) % 0.83/1.05 (define @t292 () (@var "BOUND_VARIABLE_9676" $$unsorted)) % 0.83/1.05 (define @t293 () (= (tptp.lh (|tptp.'**'| @t209 @t292)) (|tptp.'@+'| @t248 (tptp.lh @t292)))) % 0.83/1.05 (define @t294 () (not (tptp.list_succeeds @t292))) % 0.83/1.05 (define @t295 () (= tptp.nil @t209)) % 0.83/1.05 (define @t296 () (not @t295)) % 0.83/1.05 (define @t297 () (@var "BOUND_VARIABLE_9659" $$unsorted)) % 0.83/1.05 (define @t298 () (not (forall @t251 (or @t266 (= (tptp.lh (|tptp.'**'| @t297 @t208)) (|tptp.'@+'| (tptp.lh @t297) @t249)))))) % 0.83/1.05 (define @t299 () (not (tptp.list_succeeds @t297))) % 0.83/1.05 (define @t300 () (@var "BOUND_VARIABLE_9657" $$unsorted)) % 0.83/1.05 (define @t301 () (tptp.cons @t300 @t297)) % 0.83/1.05 (define @t302 () (not (= @t301 @t209))) % 0.83/1.05 (define @t303 () (or @t302 @t299 @t298)) % 0.83/1.05 (define @t304 () (and @t303 @t296)) % 0.83/1.05 (define @t305 () (or @t304 @t294 @t293)) % 0.83/1.05 (define @t306 () (or @t294 @t293)) % 0.83/1.05 (define @t307 () (or @t304 @t306)) % 0.83/1.05 (define @t308 () (@list @t209 @t300 @t297 @t292)) % 0.83/1.05 (define @t309 () (forall @t308 @t307)) % 0.83/1.05 (define @t310 () (forall (@list @t300 @t297 @t292) @t307)) % 0.83/1.05 (define @t311 () (forall (@list @t292) @t306)) % 0.83/1.05 (define @t312 () (@list @t300 @t297)) % 0.83/1.05 (define @t313 () (forall @t312 @t296)) % 0.83/1.05 (define @t314 () (forall @t312 @t303)) % 0.83/1.05 (define @t315 () (and @t314 @t313)) % 0.83/1.05 (define @t316 () (forall @t312 @t304)) % 0.83/1.05 (define @t317 () (or @t316 @t311)) % 0.83/1.05 (define @t318 () (forall @t251 (or @t266 @t256))) % 0.83/1.05 (define @t319 () (not @t318)) % 0.83/1.05 (define @t320 () (not @t112)) % 0.83/1.05 (define @t321 () (= @t113 @t209)) % 0.83/1.05 (define @t322 () (not @t321)) % 0.83/1.05 (define @t323 () (or @t322 @t320 @t319)) % 0.83/1.05 (define @t324 () (forall @t115 @t323)) % 0.83/1.05 (define @t325 () (not @t324)) % 0.83/1.05 (define @t326 () (or @t325 @t295)) % 0.83/1.05 (define @t327 () (and @t321 @t112 @t318)) % 0.83/1.05 (define @t328 () (forall @t115 (not @t327))) % 0.83/1.05 (define @t329 () (not @t328)) % 0.83/1.05 (define @t330 () (forall @t308 (or (and (or (not (= @t209 @t301)) @t299 @t298) @t296) @t294 @t293))) % 0.83/1.05 (define @t331 () (not @t330)) % 0.83/1.05 (define @t332 () (@quantifiers_skolemize @t330 3)) % 0.83/1.05 (define @t333 () (tptp.lh @t332)) % 0.83/1.05 (define @t334 () (@quantifiers_skolemize @t330 0)) % 0.83/1.05 (define @t335 () (|tptp.'**'| @t334 @t332)) % 0.83/1.05 (define @t336 () (tptp.lh @t335)) % 0.83/1.05 (define @t337 () (= @t336 (|tptp.'@+'| (tptp.lh @t334) @t333))) % 0.83/1.05 (define @t338 () (tptp.list_succeeds @t332)) % 0.83/1.05 (define @t339 () (not @t338)) % 0.83/1.05 (define @t340 () (= tptp.nil @t334)) % 0.83/1.05 (define @t341 () (not @t340)) % 0.83/1.05 (define @t342 () (@quantifiers_skolemize @t330 2)) % 0.83/1.05 (define @t343 () (tptp.lh @t342)) % 0.83/1.05 (define @t344 () (forall @t251 (or @t266 (= (tptp.lh (|tptp.'**'| @t342 @t208)) (|tptp.'@+'| @t343 @t249))))) % 0.83/1.05 (define @t345 () (not @t344)) % 0.83/1.05 (define @t346 () (tptp.list_succeeds @t342)) % 0.83/1.05 (define @t347 () (not @t346)) % 0.83/1.05 (define @t348 () (@quantifiers_skolemize @t330 1)) % 0.83/1.05 (define @t349 () (tptp.cons @t348 @t342)) % 0.83/1.05 (define @t350 () (= @t334 @t349)) % 0.83/1.05 (define @t351 () (not @t350)) % 0.83/1.05 (define @t352 () (or @t351 @t347 @t345)) % 0.83/1.05 (define @t353 () (and @t352 @t341)) % 0.83/1.05 (define @t354 () (or @t353 @t339 @t337)) % 0.83/1.05 (define @t355 () (not @t337)) % 0.83/1.05 (define @t356 () (@list @t354)) % 0.83/1.05 (define @t357 () (@list @t332)) % 0.83/1.05 (define @t358 () (= |tptp.'0'| @t243)) % 0.83/1.05 (define @t359 () (|tptp.'@+'| |tptp.'0'| @t333)) % 0.83/1.05 (define @t360 () (= @t333 @t359)) % 0.83/1.05 (define @t361 () (= @t332 (|tptp.'**'| tptp.nil @t332))) % 0.83/1.05 (define @t362 () (and @t358 @t340 @t360 @t361)) % 0.83/1.05 (define @t363 () (not @t352)) % 0.83/1.05 (define @t364 () (@list @t352)) % 0.83/1.05 (define @t365 () (|tptp.'**'| @t342 @t332)) % 0.83/1.05 (define @t366 () (tptp.cons @t348 @t365)) % 0.83/1.05 (define @t367 () (|tptp.'**'| @t349 @t332)) % 0.83/1.05 (define @t368 () (= @t367 @t366)) % 0.83/1.05 (define @t369 () (or @t347 @t368)) % 0.83/1.05 (define @t370 () (@list false false)) % 0.83/1.05 (define @t371 () (tptp.s @t343)) % 0.83/1.05 (define @t372 () (tptp.lh @t349)) % 0.83/1.05 (define @t373 () (= @t372 @t371)) % 0.83/1.05 (define @t374 () (or @t347 @t373)) % 0.83/1.05 (define @t375 () (|tptp.'@+'| @t343 @t333)) % 0.83/1.05 (define @t376 () (tptp.lh @t365)) % 0.83/1.05 (define @t377 () (= @t376 @t375)) % 0.83/1.05 (define @t378 () (or @t339 @t377)) % 0.83/1.05 (define @t379 () (tptp.nat_succeeds @t343)) % 0.83/1.05 (define @t380 () (or @t347 @t379)) % 0.83/1.05 (define @t381 () (|tptp.'@+'| @t371 @t333)) % 0.83/1.05 (define @t382 () (= @t381 (tptp.s @t375))) % 0.83/1.05 (define @t383 () (not @t379)) % 0.83/1.05 (define @t384 () (or @t383 @t382)) % 0.83/1.05 (define @t385 () (tptp.list_succeeds @t365)) % 0.83/1.05 (define @t386 () (or @t347 @t339 @t385)) % 0.83/1.05 (define @t387 () (tptp.s @t376)) % 0.83/1.05 (define @t388 () (tptp.lh @t366)) % 0.83/1.05 (define @t389 () (= @t388 @t387)) % 0.83/1.05 (define @t390 () (not @t385)) % 0.83/1.05 (define @t391 () (or @t390 @t389)) % 0.83/1.05 (define @t392 () (not @t389)) % 0.83/1.05 (define @t393 () (not @t382)) % 0.83/1.05 (define @t394 () (not @t377)) % 0.83/1.05 (define @t395 () (not @t373)) % 0.83/1.05 (define @t396 () (not @t368)) % 0.83/1.05 (define @t397 () (and @t350 @t355 @t368 @t373 @t377 @t382)) % 0.83/1.05 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 0.83/1.05 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.83/1.05 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 0.83/1.05 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 0.83/1.05 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 0.83/1.05 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 0.83/1.05 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 0.83/1.05 (assume @p8 (forall (@list @t18 @t16 @t17 @t15) (=> (= (tptp.cons @t18 @t16) (tptp.cons @t17 @t15)) (= @t16 @t15)))) % 0.83/1.05 (assume @p9 (forall (@list @t20 @t22 @t19 @t21) (=> (= (tptp.cons @t20 @t22) (tptp.cons @t19 @t21)) (= @t20 @t19)))) % 0.83/1.05 (assume @p10 (tptp.gr |tptp.'0'|)) % 0.83/1.05 (assume @p11 (tptp.gr tptp.nil)) % 0.83/1.05 (assume @p12 (forall (@list @t23) (= (tptp.gr @t23) (tptp.gr (tptp.s @t23))))) % 0.83/1.05 (assume @p13 (forall (@list @t25 @t24) (= (and (tptp.gr @t25) (tptp.gr @t24)) (tptp.gr (tptp.cons @t25 @t24))))) % 0.83/1.05 (assume @p14 (forall @t31 (not (and @t30 @t29)))) % 0.83/1.05 (assume @p15 (forall @t31 (=> (tptp.delete_terminates @t28 @t27 @t26) (or @t30 @t29)))) % 0.83/1.05 (assume @p16 (forall @t36 (not (and @t35 @t34)))) % 0.83/1.05 (assume @p17 (forall @t36 (=> (tptp.length_terminates @t33 @t32) (or @t35 @t34)))) % 0.83/1.05 (assume @p18 (forall @t42 (not (and @t41 @t40)))) % 0.83/1.05 (assume @p19 (forall @t42 (=> (tptp.append_terminates @t39 @t38 @t37) (or @t41 @t40)))) % 0.83/1.05 (assume @p20 (forall @t47 (not (and @t46 @t45)))) % 0.83/1.05 (assume @p21 (forall @t47 (=> (tptp.member_terminates @t44 @t43) (or @t46 @t45)))) % 0.83/1.05 (assume @p22 (forall @t51 (not (and @t50 @t49)))) % 0.83/1.05 (assume @p23 (forall @t51 (=> (tptp.list_terminates @t48) (or @t50 @t49)))) % 0.83/1.05 (assume @p24 (forall @t55 (not (and @t54 @t53)))) % 0.83/1.05 (assume @p25 (forall @t55 (=> (tptp.nat_list_terminates @t52) (or @t54 @t53)))) % 0.83/1.05 (assume @p26 (forall @t61 (not (and @t60 @t59)))) % 0.83/1.05 (assume @p27 (forall @t61 (=> (tptp.times_terminates @t58 @t57 @t56) (or @t60 @t59)))) % 0.83/1.05 (assume @p28 (forall @t67 (not (and @t66 @t65)))) % 0.83/1.05 (assume @p29 (forall @t67 (=> (tptp.plus_terminates @t64 @t63 @t62) (or @t66 @t65)))) % 0.83/1.05 (assume @p30 (forall @t72 (not (and @t71 @t70)))) % 0.83/1.05 (assume @p31 (forall @t72 (=> (|tptp.'@=<_terminates'| @t69 @t68) (or @t71 @t70)))) % 0.83/1.05 (assume @p32 (forall @t77 (not (and @t76 @t75)))) % 0.83/1.05 (assume @p33 (forall @t77 (=> (|tptp.'@<_terminates'| @t74 @t73) (or @t76 @t75)))) % 0.83/1.05 (assume @p34 (forall @t81 (not (and @t80 @t79)))) % 0.83/1.05 (assume @p35 (forall @t81 (=> (tptp.nat_terminates @t78) (or @t80 @t79)))) % 0.83/1.05 (assume @p36 (forall @t88 (= (tptp.delete_succeeds @t82 @t83 @t1) (or (exists @t87 (and @t86 @t85 (tptp.delete_succeeds @t82 @t3 @t7))) @t84)))) % 0.83/1.05 (assume @p37 (forall @t88 (= (tptp.delete_fails @t82 @t83 @t1) (and (forall @t87 (or @t90 @t89 (tptp.delete_fails @t82 @t3 @t7))) (not @t84))))) % 0.83/1.05 (assume @p38 (forall @t88 (= (tptp.delete_terminates @t82 @t83 @t1) (and (forall @t87 (and true (or @t90 (and true (or @t89 (tptp.delete_terminates @t82 @t3 @t7)))))) true)))) % 0.83/1.05 (assume @p39 (forall @t98 (= (tptp.length_succeeds @t82 @t83) (or (exists @t97 (and @t96 @t94 (tptp.length_succeeds @t4 @t3))) (and @t92 @t91))))) % 0.83/1.05 (assume @p40 (forall @t98 (= (tptp.length_fails @t82 @t83) (and (forall @t97 (or @t101 @t100 (tptp.length_fails @t4 @t3))) (or @t99 (not @t91)))))) % 0.83/1.05 (assume @p41 (forall @t98 (= (tptp.length_terminates @t82 @t83) (and (forall @t97 (and true (or @t101 (and true (or @t100 (tptp.length_terminates @t4 @t3)))))) true @t102)))) % 0.83/1.05 (assume @p42 (forall @t88 (= (tptp.append_succeeds @t82 @t83 @t1) (or (exists @t87 (and @t104 @t85 (tptp.append_succeeds @t3 @t83 @t7))) (and @t92 @t103))))) % 0.83/1.05 (assume @p43 (forall @t88 (= (tptp.append_fails @t82 @t83 @t1) (and (forall @t87 (or @t106 @t89 (tptp.append_fails @t3 @t83 @t7))) (or @t99 @t105))))) % 0.83/1.05 (assume @p44 (forall @t88 (= (tptp.append_terminates @t82 @t83 @t1) (and (forall @t87 (and true (or @t106 (and true (or @t89 (tptp.append_terminates @t3 @t83 @t7)))))) true @t102)))) % 0.83/1.05 (assume @p45 (forall @t98 (= (tptp.member_succeeds @t82 @t83) (or (exists @t110 (and @t109 (tptp.member_succeeds @t82 @t4))) (exists @t108 @t107))))) % 0.83/1.05 (assume @p46 (forall @t98 (= (tptp.member_fails @t82 @t83) (and (forall @t110 (or @t111 (tptp.member_fails @t82 @t4))) (forall @t108 (not @t107)))))) % 0.83/1.05 (assume @p47 (forall @t98 (= (tptp.member_terminates @t82 @t83) (and (forall @t110 (and true (or @t111 (tptp.member_terminates @t82 @t4)))) (forall @t108 true))))) % 0.83/1.05 (assume @p48 (forall @t116 (= (tptp.list_succeeds @t82) (or (exists @t115 (and @t114 @t112)) @t92)))) % 0.83/1.05 (assume @p49 (forall @t116 (= (tptp.list_fails @t82) (and (forall @t115 (or @t117 (tptp.list_fails @t1))) @t99)))) % 0.83/1.05 (assume @p50 (forall @t116 (= (tptp.list_terminates @t82) (and (forall @t115 (and true (or @t117 (tptp.list_terminates @t1)))) true)))) % 0.83/1.05 (assume @p51 (forall @t116 (= (tptp.nat_list_succeeds @t82) (or (exists @t115 (and @t114 @t118 (tptp.nat_list_succeeds @t1))) @t92)))) % 0.83/1.05 (assume @p52 (forall @t116 (= (tptp.nat_list_fails @t82) (and (forall @t115 (or @t117 @t119 (tptp.nat_list_fails @t1))) @t99)))) % 0.83/1.05 (assume @p53 (forall @t116 (= (tptp.nat_list_terminates @t82) (and (forall @t115 (and true (or @t117 (and @t120 (or @t119 (tptp.nat_list_terminates @t1)))))) true)))) % 0.83/1.05 (assume @p54 (forall @t88 (= (tptp.times_succeeds @t82 @t83 @t1) (or (exists @t6 (and @t124 (tptp.times_succeeds @t4 @t83 @t3) (tptp.plus_succeeds @t83 @t3 @t1))) (and @t122 @t121))))) % 0.83/1.05 (assume @p55 (forall @t88 (= (tptp.times_fails @t82 @t83 @t1) (and (forall @t6 (or @t127 @t126 (tptp.plus_fails @t83 @t3 @t1))) (or @t125 (not @t121)))))) % 0.83/1.05 (assume @p56 (forall @t88 (= (tptp.times_terminates @t82 @t83 @t1) (and (forall @t6 (and true (or @t127 (and (tptp.times_terminates @t4 @t83 @t3) (or @t126 (tptp.plus_terminates @t83 @t3 @t1)))))) true @t128)))) % 0.83/1.05 (assume @p57 (forall @t88 (= (tptp.plus_succeeds @t82 @t83 @t1) (or (exists @t6 (and @t124 @t129 (tptp.plus_succeeds @t4 @t83 @t3))) (and @t122 @t103))))) % 0.83/1.05 (assume @p58 (forall @t88 (= (tptp.plus_fails @t82 @t83 @t1) (and (forall @t6 (or @t127 @t130 (tptp.plus_fails @t4 @t83 @t3))) (or @t125 @t105))))) % 0.83/1.05 (assume @p59 (forall @t88 (= (tptp.plus_terminates @t82 @t83 @t1) (and (forall @t6 (and true (or @t127 (and true (or @t130 (tptp.plus_terminates @t4 @t83 @t3)))))) true @t128)))) % 0.83/1.05 (assume @p60 (forall @t98 (= (|tptp.'@=<_succeeds'| @t82 @t83) (or (exists @t110 (and @t132 @t131 (|tptp.'@=<_succeeds'| @t1 @t4))) @t122)))) % 0.83/1.05 (assume @p61 (forall @t98 (= (|tptp.'@=<_fails'| @t82 @t83) (and (forall @t110 (or @t134 @t133 (|tptp.'@=<_fails'| @t1 @t4))) @t125)))) % 0.83/1.05 (assume @p62 (forall @t98 (= (|tptp.'@=<_terminates'| @t82 @t83) (and (forall @t110 (and true (or @t134 (and true (or @t133 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.83/1.05 (assume @p63 (forall @t98 (= (|tptp.'@<_succeeds'| @t82 @t83) (or (exists @t110 (and @t132 @t131 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t108 (and @t122 @t94)))))) % 0.83/1.05 (assume @p64 (forall @t98 (= (|tptp.'@<_fails'| @t82 @t83) (and (forall @t110 (or @t134 @t133 (|tptp.'@<_fails'| @t1 @t4))) (forall @t108 (or @t125 @t100)))))) % 0.83/1.05 (assume @p65 (forall @t98 (= (|tptp.'@<_terminates'| @t82 @t83) (and (forall @t110 (and true (or @t134 (and true (or @t133 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t108 (and true @t128)))))) % 0.83/1.05 (assume @p66 (forall @t116 (= @t137 (or (exists @t136 (and @t135 @t118)) @t122)))) % 0.83/1.05 (assume @p67 (forall @t116 (= (tptp.nat_fails @t82) (and (forall @t136 (or @t138 @t119)) @t125)))) % 0.83/1.05 (assume @p68 (forall @t116 (= (tptp.nat_terminates @t82) (and (forall @t136 (and true (or @t138 @t120))) true)))) % 0.83/1.05 (assume @p69 (forall @t141 (=> @t140 (tptp.nat_terminates @t139)))) % 0.83/1.05 (assume @p70 (forall @t141 (=> @t140 @t142))) % 0.83/1.05 (assume @p71 (forall @t146 (=> @t140 @t145))) % 0.83/1.05 (assume @p72 (forall @t146 (=> @t147 @t145))) % 0.83/1.05 (assume @p73 (forall @t146 (=> @t148 @t140))) % 0.83/1.05 (assume @p74 (forall @t146 (=> (and @t148 @t149) @t147))) % 0.83/1.05 (assume @p75 (forall @t146 (=> (and @t148 @t147) @t149))) % 0.83/1.05 (assume @p76 (forall @t146 (=> @t148 @t145))) % 0.83/1.05 (assume @p77 (forall @t146 (=> @t148 @t142))) % 0.83/1.05 (assume @p78 (forall @t146 (=> (and @t148 @t151) @t150))) % 0.83/1.05 (assume @p79 (forall @t146 (=> (and @t148 @t150) @t151))) % 0.83/1.05 (assume @p80 (forall @t153 (=> @t140 (exists @t152 @t148)))) % 0.83/1.05 (assume @p81 (forall @t157 (=> (and (tptp.plus_succeeds @t139 @t144 @t155) (tptp.plus_succeeds @t139 @t144 @t154)) @t156))) % 0.83/1.05 (assume @p82 @t160) % 0.83/1.05 (assume @p83 @t165) % 0.83/1.05 (assume @p84 (forall @t153 (=> @t166 (tptp.nat_succeeds @t161)))) % 0.83/1.05 (assume @p85 (forall @t146 (=> @t168 (= (|tptp.'@+'| @t161 @t143) (|tptp.'@+'| @t139 @t167))))) % 0.83/1.05 (assume @p86 (forall @t141 (=> @t140 (= (|tptp.'@+'| @t139 |tptp.'0'|) @t139)))) % 0.83/1.05 (assume @p87 (forall @t153 (=> @t166 (= @t170 @t163)))) % 0.83/1.05 (assume @p88 (forall @t153 (=> @t166 (= @t161 @t171)))) % 0.83/1.05 (assume @p89 (forall @t146 (=> (and @t140 (= @t161 @t172)) (= @t144 @t143)))) % 0.83/1.05 (assume @p90 (forall @t146 (=> @t173 @t140))) % 0.83/1.05 (assume @p91 (forall @t146 (=> (and @t173 @t149) @t147))) % 0.83/1.05 (assume @p92 (forall @t146 (=> @t173 @t142))) % 0.83/1.05 (assume @p93 (forall @t146 (=> (and @t173 @t151) @t150))) % 0.83/1.05 (assume @p94 (forall @t146 (=> @t166 (tptp.times_terminates @t139 @t144 @t143)))) % 0.83/1.05 (assume @p95 (forall @t153 (=> @t166 (exists @t152 @t173)))) % 0.83/1.05 (assume @p96 (forall @t157 (=> (and (tptp.times_succeeds @t139 @t144 @t155) (tptp.times_succeeds @t139 @t144 @t154)) @t156))) % 0.83/1.05 (assume @p97 (forall @t159 (=> @t149 (= (|tptp.'@*'| |tptp.'0'| @t144) |tptp.'0'|)))) % 0.83/1.05 (assume @p98 (forall @t153 (=> @t166 (= @t175 (|tptp.'@+'| @t144 @t174))))) % 0.83/1.05 (assume @p99 (forall @t153 (=> @t166 (tptp.nat_succeeds @t174)))) % 0.83/1.05 (assume @p100 (forall @t146 (=> @t168 (= (|tptp.'@*'| @t161 @t143) (|tptp.'@+'| @t177 @t176))))) % 0.83/1.05 (assume @p101 (forall @t146 (=> @t168 (= (|tptp.'@*'| @t174 @t143) (|tptp.'@*'| @t139 @t176))))) % 0.83/1.05 (assume @p102 (forall @t141 (=> @t140 (= (|tptp.'@*'| @t139 |tptp.'0'|) |tptp.'0'|)))) % 0.83/1.05 (assume @p103 (forall (@list @t144 @t139) (=> (and @t149 @t140) (= (|tptp.'@+'| @t178 @t144) (|tptp.'@*'| @t144 @t162))))) % 0.83/1.05 (assume @p104 (forall @t153 (=> @t166 (= @t174 @t178)))) % 0.83/1.05 (assume @p105 (forall @t141 (=> @t140 (= (|tptp.'@*'| @t179 @t139) @t139)))) % 0.83/1.05 (assume @p106 (forall @t141 (=> @t140 (= (|tptp.'@*'| @t139 @t179) @t139)))) % 0.83/1.05 (assume @p107 (forall @t146 (=> @t168 (= (|tptp.'@*'| @t143 @t161) (|tptp.'@+'| (|tptp.'@*'| @t143 @t139) (|tptp.'@*'| @t143 @t144)))))) % 0.83/1.05 (assume @p108 (forall @t153 (=> @t140 @t180))) % 0.83/1.05 (assume @p109 (forall @t153 (=> @t149 @t180))) % 0.83/1.05 (assume @p110 (forall @t153 (=> @t181 @t140))) % 0.83/1.05 (assume @p111 (forall @t153 (=> @t181 (exists @t152 (= @t144 @t182))))) % 0.83/1.05 (assume @p112 (forall @t146 (=> (and @t181 (|tptp.'@<_succeeds'| @t144 @t182)) @t183))) % 0.83/1.05 (assume @p113 (forall @t153 (=> @t181 @t184))) % 0.83/1.05 (assume @p114 (forall @t146 (=> (and @t181 @t185) @t183))) % 0.83/1.05 (assume @p115 (forall @t141 (=> @t140 (|tptp.'@<_fails'| @t139 @t139)))) % 0.83/1.05 (assume @p116 (forall @t141 (=> @t140 (not (|tptp.'@<_succeeds'| @t139 @t139))))) % 0.83/1.05 (assume @p117 (forall @t141 (=> @t140 (|tptp.'@<_succeeds'| @t139 @t162)))) % 0.83/1.05 (assume @p118 (forall @t153 (=> (and @t149 @t184) @t187))) % 0.83/1.05 (assume @p119 (forall @t153 (=> @t166 (or @t181 @t186 (|tptp.'@<_succeeds'| @t144 @t139))))) % 0.83/1.05 (assume @p120 (forall @t141 (=> (and @t140 @t188) (|tptp.'@<_succeeds'| |tptp.'0'| @t139)))) % 0.83/1.05 (assume @p121 (forall @t153 (=> @t140 (|tptp.'@=<_terminates'| @t139 @t144)))) % 0.83/1.05 (assume @p122 (forall @t153 (=> @t189 @t140))) % 0.83/1.05 (assume @p123 (forall @t153 (=> @t189 (exists @t152 (tptp.plus_succeeds @t139 @t143 @t144))))) % 0.83/1.05 (assume @p124 (forall @t153 (=> @t189 (exists @t152 (= @t172 @t144))))) % 0.83/1.05 (assume @p125 (forall @t153 (=> @t181 (exists @t152 (tptp.plus_succeeds @t139 @t182 @t144))))) % 0.83/1.05 (assume @p126 (forall @t153 (=> @t181 (exists @t152 (= (|tptp.'@+'| @t139 @t182) @t144))))) % 0.83/1.05 (assume @p127 (forall @t153 (=> @t181 @t189))) % 0.83/1.05 (assume @p128 (forall @t141 (=> @t140 (|tptp.'@=<_succeeds'| @t139 @t139)))) % 0.83/1.05 (assume @p129 (forall @t153 (=> @t166 (or @t189 @t190)))) % 0.83/1.05 (assume @p130 (forall @t153 (=> @t166 (or @t181 @t190)))) % 0.83/1.05 (assume @p131 (forall @t153 (=> (and @t140 @t149 (|tptp.'@=<_fails'| @t139 @t144)) @t190))) % 0.83/1.05 (assume @p132 (forall @t153 (=> (and @t189 @t149) @t187))) % 0.83/1.05 (assume @p133 (forall @t146 (=> (and @t189 @t185) @t183))) % 0.83/1.05 (assume @p134 (forall @t146 (=> (and @t181 @t191) @t183))) % 0.83/1.05 (assume @p135 (forall @t146 (=> (and @t189 @t191) (|tptp.'@=<_succeeds'| @t139 @t143)))) % 0.83/1.05 (assume @p136 (forall @t153 (=> (and @t189 @t190) @t186))) % 0.83/1.05 (assume @p137 (forall @t141 (=> @t140 (|tptp.'@=<_succeeds'| @t139 @t162)))) % 0.83/1.05 (assume @p138 (forall @t141 (=> @t140 (|tptp.'@=<_fails'| @t162 @t139)))) % 0.83/1.05 (assume @p139 (forall @t146 (=> (and @t140 @t185) @t192))) % 0.83/1.05 (assume @p140 (forall @t153 (=> @t140 (|tptp.'@<_succeeds'| @t139 @t170)))) % 0.83/1.05 (assume @p141 (forall @t146 (=> (and @t181 @t149 @t147) @t193))) % 0.83/1.05 (assume @p142 (forall @t153 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t144) @t140 @t149) (|tptp.'@<_succeeds'| @t139 @t171)))) % 0.83/1.05 (assume @p143 (forall @t146 (=> (and @t140 @t191) @t194))) % 0.83/1.05 (assume @p144 (forall @t146 (=> @t195 (|tptp.'@=<_succeeds'| @t172 @t167)))) % 0.83/1.05 (assume @p145 (forall @t153 (=> @t140 (|tptp.'@=<_succeeds'| @t139 @t161)))) % 0.83/1.05 (assume @p146 (forall @t153 (=> @t166 (|tptp.'@=<_succeeds'| @t144 @t161)))) % 0.83/1.05 (assume @p147 (forall @t146 (=> (and @t140 @t192) @t185))) % 0.83/1.05 (assume @p148 (forall @t146 (=> (and @t140 @t149 @t147 @t193) @t181))) % 0.83/1.05 (assume @p149 (forall @t146 (=> (and @t140 @t194) @t191))) % 0.83/1.05 (assume @p150 (forall @t203 (=> (and @t202 @t201 @t200) (|tptp.'@=<_succeeds'| @t199 @t198)))) % 0.83/1.05 (assume @p151 (forall @t203 (=> (and @t205 @t201 @t200) @t204))) % 0.83/1.05 (assume @p152 (forall @t203 (=> (and @t202 @t206 @t200) @t204))) % 0.83/1.05 (assume @p153 (forall @t203 (=> (and @t205 @t206 @t200) @t204))) % 0.83/1.05 (assume @p154 (forall @t146 (=> (and @t140 @t191 @t147) (|tptp.'@=<_succeeds'| @t174 @t177)))) % 0.83/1.05 (assume @p155 (forall @t146 (=> @t195 (|tptp.'@=<_succeeds'| @t177 @t176)))) % 0.83/1.05 (assume @p156 (forall @t146 (=> (and @t140 @t188 @t185 @t147) (|tptp.'@<_succeeds'| @t174 @t177)))) % 0.83/1.05 (assume @p157 (forall @t146 (=> (and @t140 @t149 @t147 (|tptp.'@=<_succeeds'| @t175 (|tptp.'@*'| @t162 @t143))) @t191))) % 0.83/1.05 (assume @p158 (forall (@list @t82 @t83 @t144) (=> (and @t137 @t118 @t149 (= (|tptp.'@+'| @t82 @t144) (|tptp.'@+'| @t83 @t144))) (= @t82 @t83)))) % 0.83/1.05 (assume @p159 (forall @t213 (=> @t212 (= (= @t211 @t207) @t210)))) % 0.83/1.05 (assume @p160 (forall @t219 (=> @t218 (= (= @t217 @t214) @t216)))) % 0.83/1.05 (assume @p161 (forall @t220 (= (tptp.sub @t209 @t208) (forall @t141 (=> (tptp.member_succeeds @t139 @t209) (tptp.member_succeeds @t139 @t208)))))) % 0.83/1.05 (assume @p162 (forall @t141 (tptp.list_succeeds (tptp.cons @t139 tptp.nil)))) % 0.83/1.05 (assume @p163 (forall @t153 (tptp.list_succeeds (tptp.cons @t139 (tptp.cons @t144 tptp.nil))))) % 0.83/1.05 (assume @p164 (forall @t146 (tptp.list_succeeds (tptp.cons @t139 (tptp.cons @t144 (tptp.cons @t143 tptp.nil)))))) % 0.83/1.05 (assume @p165 (forall @t222 (=> (tptp.list_succeeds @t221) @t218))) % 0.83/1.05 (assume @p166 (forall @t223 (=> @t218 (tptp.list_terminates @t215)))) % 0.83/1.05 (assume @p167 (forall @t222 (=> @t218 (tptp.member_terminates @t139 @t215)))) % 0.83/1.05 (assume @p168 (forall @t222 (=> @t218 (or @t224 (tptp.member_fails @t139 @t215))))) % 0.83/1.05 (assume @p169 (forall @t222 (=> (and @t224 (tptp.gr @t215)) @t142))) % 0.83/1.05 (assume @p170 (forall (@list @t139 @t144 @t143 @t215) (=> (and (tptp.member_succeeds @t139 (tptp.cons @t144 @t215)) (not @t186)) @t224))) % 0.83/1.05 (assume @p171 (forall @t213 (=> @t210 @t212))) % 0.83/1.05 (assume @p172 (forall @t213 (=> (and @t210 @t226) @t225))) % 0.83/1.05 (assume @p173 (forall @t213 (=> @t227 @t226))) % 0.83/1.05 (assume @p174 (forall @t213 (=> @t227 @t228))) % 0.83/1.05 (assume @p175 (forall @t213 (=> @t212 @t229))) % 0.83/1.05 (assume @p176 (forall @t213 (=> @t225 @t229))) % 0.83/1.05 (assume @p177 (forall @t213 (=> (and @t210 @t232 @t231) @t230))) % 0.83/1.05 (assume @p178 (forall @t213 (=> (and @t210 @t230) @t233))) % 0.83/1.05 (assume @p179 (forall @t220 (=> @t212 (exists (@list @t207) @t210)))) % 0.83/1.05 (assume @p180 (forall (@list @t209 @t208 @t207 @t234) (=> (and @t210 (tptp.append_succeeds @t209 @t208 @t234)) (= @t207 @t234)))) % 0.83/1.05 (assume @p181 @t236) % 0.83/1.05 (assume @p182 @t238) % 0.83/1.05 (assume @p183 @t240) % 0.83/1.05 (assume @p184 (forall @t220 (=> (and @t212 @t239) @t226))) % 0.83/1.05 (assume @p185 (forall @t220 (=> (and @t212 @t232 @t231) @t241))) % 0.83/1.05 (assume @p186 (forall @t220 (=> (and @t212 @t241) @t233))) % 0.83/1.05 (assume @p187 (forall @t213 (=> @t228 (= (|tptp.'**'| @t211 @t207) (|tptp.'**'| @t209 (|tptp.'**'| @t208 @t207)))))) % 0.83/1.05 (assume @p188 (forall @t223 (=> @t218 (= (|tptp.'**'| @t215 tptp.nil) @t215)))) % 0.83/1.05 (assume @p189 (forall @t219 (=> @t216 (and @t218 (tptp.nat_succeeds @t214))))) % 0.83/1.05 (assume @p190 (forall @t219 (=> @t218 (tptp.length_terminates @t215 @t214)))) % 0.83/1.05 (assume @p191 (forall @t219 (=> @t216 (tptp.gr @t214)))) % 0.83/1.05 (assume @p192 (forall @t223 (=> @t218 (exists (@list @t214) @t216)))) % 0.83/1.05 (assume @p193 (forall (@list @t215 @t242 @t214) (=> (and (tptp.length_succeeds @t215 @t242) @t216) (= @t242 @t214)))) % 0.83/1.05 (assume @p194 (= @t243 |tptp.'0'|)) % 0.83/1.05 (assume @p195 @t245) % 0.83/1.05 (assume @p196 @t247) % 0.83/1.05 (assume @p197 (forall @t223 (=> (and @t218 (= @t217 |tptp.'0'|)) (= @t215 tptp.nil)))) % 0.83/1.05 (assume @p198 (forall (@list @t214 @t209) (=> (and @t212 (= @t248 (tptp.s @t214))) (exists (@list @t139 @t208) (= @t209 (tptp.cons @t139 @t208)))))) % 0.83/1.05 (assume @p199 @t263) % 0.83/1.05 (assume @p200 @t265) % 0.83/1.05 (assume @p201 true) % 0.83/1.05 (step @p202 :rule aci_norm :args ((= (or @t269 @t250) @t268))) % 0.83/1.05 (step @p203 :rule refl :args (@t250)) % 0.83/1.05 (step @p204 :rule bool-and-de-morgan :args (@t212 @t226 true)) % 0.83/1.05 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t270 @t250))) % 0.83/1.05 (step @p206 :rule trans :premises (@p205 @p202)) % 0.83/1.05 (step @p207 :rule bool-impl-elim :args (@t228 @t250)) % 0.83/1.05 (step @p208 :rule trans :premises (@p207 @p206)) % 0.83/1.05 (step @p209 :rule cong :premises (@p208) :args (@t264)) % 0.83/1.05 (step @p210 :rule cong :premises (@p209) :args (@t265)) % 0.83/1.05 (step @p211 :rule eq_resolve :premises (@p200 @p210)) % 0.83/1.05 (step @p212 :rule alpha_equiv :args ((forall (@list @t272 @t271) (or (not (tptp.list_succeeds @t272)) (not (tptp.list_succeeds @t271)) (= (tptp.lh (|tptp.'**'| @t272 @t271)) (|tptp.'@+'| (tptp.lh @t272) (tptp.lh @t271))))) @t273 (@list @t209 @t208))) % 0.83/1.05 (step @p213 :rule alpha_equiv :args (@t279 (@list @t209 @t274) @t273)) % 0.83/1.05 (step @p214 :rule trans :premises (@p213 @p212)) % 0.83/1.05 (step @p215 :rule equiv_elim1 :premises (@p214)) % 0.83/1.05 (step @p216 :rule reordering :premises (@p215) :args ((or @t281 @t280))) % 0.83/1.05 (step @p217 :rule chain_m_resolution :premises (@p216 @p211) :args (@t280 @t282 (@list @t281))) % 0.83/1.05 (step @p218 :rule aci_norm :args ((= @t284 @t277))) % 0.83/1.05 (step @p219 :rule cong :premises (@p218) :args (@t285)) % 0.83/1.05 (step @p220 :rule quant-merge-prenex :args ((= (forall @t254 @t287) @t285))) % 0.83/1.05 (step @p221 :rule alpha_equiv :args (@t288 (@list @t274) @t289)) % 0.83/1.05 (step @p222 :rule refl :args (@t267)) % 0.83/1.05 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t290)) % 0.83/1.05 (step @p224 :rule quant-miniscope-or :args ((= @t287 @t290))) % 0.83/1.05 (step @p225 :rule trans :premises (@p224 @p223)) % 0.83/1.05 (step @p226 :rule symm :premises (@p225)) % 0.83/1.05 (step @p227 :rule cong :premises (@p226) :args ((forall @t254 (or @t267 @t291)))) % 0.83/1.05 (step @p228 :rule trans :premises (@p227 @p220)) % 0.83/1.05 (step @p229 :rule trans :premises (@p228 @p219)) % 0.83/1.05 (step @p230 :rule bool-impl-elim :args (@t212 @t291)) % 0.83/1.05 (step @p231 :rule cong :premises (@p230) :args ((forall @t254 (=> @t212 @t291)))) % 0.83/1.05 (step @p232 :rule trans :premises (@p231 @p229)) % 0.83/1.05 (step @p233 :rule bool-impl-elim :args (@t226 @t250)) % 0.83/1.05 (step @p234 :rule cong :premises (@p233) :args (@t252)) % 0.83/1.05 (step @p235 :rule refl :args (@t212)) % 0.83/1.05 (step @p236 :rule cong :premises (@p235 @p234) :args (@t253)) % 0.83/1.05 (step @p237 :rule cong :premises (@p236) :args (@t255)) % 0.83/1.05 (step @p238 :rule trans :premises (@p237 @p232)) % 0.83/1.05 (step @p239 :rule refl :args (@t293)) % 0.83/1.05 (step @p240 :rule refl :args (@t294)) % 0.83/1.05 (step @p241 :rule refl :args (@t296)) % 0.83/1.05 (step @p242 :rule refl :args (@t298)) % 0.83/1.05 (step @p243 :rule refl :args (@t299)) % 0.83/1.05 (step @p244 :rule eq-symm :args (@t301 @t209)) % 0.83/1.05 (step @p245 :rule cong :premises (@p244) :args (@t302)) % 0.83/1.05 (step @p246 :rule nary_cong :premises (@p245 @p243 @p242) :args (@t303)) % 0.83/1.05 (step @p247 :rule nary_cong :premises (@p246 @p241) :args (@t304)) % 0.83/1.05 (step @p248 :rule nary_cong :premises (@p247 @p240 @p239) :args (@t305)) % 0.83/1.05 (step @p249 :rule aci_norm :args ((= @t307 @t305))) % 0.83/1.05 (step @p250 :rule trans :premises (@p249 @p248)) % 0.83/1.05 (step @p251 :rule cong :premises (@p250) :args (@t309)) % 0.83/1.05 (step @p252 :rule quant-merge-prenex :args ((= (forall @t254 @t310) @t309))) % 0.83/1.05 (step @p253 :rule alpha_equiv :args (@t311 (@list @t292) @t289)) % 0.83/1.05 (step @p254 :rule quant-unused-vars :args ((= @t313 @t296))) % 0.83/1.05 (step @p255 :rule alpha_equiv :args (@t314 (@list @t300 @t297) (@list @t83 @t1))) % 0.83/1.05 (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t315)) % 0.83/1.05 (step @p257 :rule quant-miniscope-and :args ((= @t316 @t315))) % 0.83/1.05 (step @p258 :rule trans :premises (@p257 @p256)) % 0.83/1.05 (step @p259 :rule nary_cong :premises (@p258 @p253) :args (@t317)) % 0.83/1.05 (step @p260 :rule quant-miniscope-or :args ((= @t310 @t317))) % 0.83/1.05 (step @p261 :rule trans :premises (@p260 @p259)) % 0.83/1.05 (step @p262 :rule symm :premises (@p261)) % 0.83/1.05 (step @p263 :rule cong :premises (@p262) :args ((forall @t254 (or (and @t324 @t296) @t291)))) % 0.83/1.05 (step @p264 :rule trans :premises (@p263 @p252)) % 0.83/1.05 (step @p265 :rule trans :premises (@p264 @p251)) % 0.83/1.05 (step @p266 :rule refl :args (@t291)) % 0.83/1.05 (step @p267 :rule refl :args (@t296)) % 0.83/1.05 (step @p268 :rule bool-double-not-elim :args (@t324)) % 0.83/1.05 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((and (not @t325) @t296))) % 0.83/1.05 (step @p270 :rule bool-or-de-morgan :args (@t325 @t295 false)) % 0.83/1.05 (step @p271 :rule trans :premises (@p270 @p269)) % 0.83/1.05 (step @p272 :rule nary_cong :premises (@p271 @p266) :args ((or (not @t326) @t291))) % 0.83/1.05 (step @p273 :rule bool-impl-elim :args (@t326 @t291)) % 0.83/1.05 (step @p274 :rule trans :premises (@p273 @p272)) % 0.83/1.05 (step @p275 :rule cong :premises (@p274) :args ((forall @t254 (=> @t326 @t291)))) % 0.83/1.05 (step @p276 :rule trans :premises (@p275 @p265)) % 0.83/1.05 (step @p277 :rule eq-symm :args (@t209 tptp.nil)) % 0.83/1.05 (step @p278 :rule aci_norm :args ((= (or @t322 (or @t320 @t319)) @t323))) % 0.83/1.05 (step @p279 :rule bool-and-de-morgan :args (@t112 @t318 true)) % 0.83/1.05 (step @p280 :rule refl :args (@t322)) % 0.83/1.05 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t322 (not (and @t112 @t318))))) % 0.83/1.05 (step @p282 :rule bool-and-de-morgan :args (@t321 @t112 (and @t318))) % 0.83/1.05 (step @p283 :rule trans :premises (@p282 @p281)) % 0.83/1.05 (step @p284 :rule trans :premises (@p283 @p278)) % 0.83/1.05 (step @p285 :rule cong :premises (@p284) :args (@t328)) % 0.83/1.05 (step @p286 :rule cong :premises (@p285) :args (@t329)) % 0.83/1.05 (step @p287 :rule exists-elim :args ((= (exists @t115 @t327) @t329))) % 0.83/1.05 (step @p288 :rule trans :premises (@p287 @p286)) % 0.83/1.05 (step @p289 :rule bool-impl-elim :args (@t226 @t256)) % 0.83/1.05 (step @p290 :rule cong :premises (@p289) :args (@t257)) % 0.83/1.05 (step @p291 :rule refl :args (@t112)) % 0.83/1.05 (step @p292 :rule eq-symm :args (@t209 @t113)) % 0.83/1.05 (step @p293 :rule nary_cong :premises (@p292 @p291 @p290) :args (@t258)) % 0.83/1.05 (step @p294 :rule cong :premises (@p293) :args (@t259)) % 0.83/1.05 (step @p295 :rule trans :premises (@p294 @p288)) % 0.83/1.05 (step @p296 :rule nary_cong :premises (@p295 @p277) :args (@t260)) % 0.83/1.05 (step @p297 :rule cong :premises (@p296 @p234) :args (@t261)) % 0.83/1.05 (step @p298 :rule cong :premises (@p297) :args (@t262)) % 0.83/1.05 (step @p299 :rule trans :premises (@p298 @p276)) % 0.83/1.05 (step @p300 :rule cong :premises (@p299 @p238) :args (@t263)) % 0.83/1.05 (step @p301 :rule eq_resolve :premises (@p199 @p300)) % 0.83/1.05 (step @p302 :rule implies_elim :premises (@p301)) % 0.83/1.05 (step @p303 :rule reordering :premises (@p302) :args ((or @t279 @t331))) % 0.83/1.05 (step @p304 :rule chain_m_resolution :premises (@p303 @p217) :args (@t331 @t282 (@list @t279))) % 0.83/1.05 (step @p305 :rule skolemize :premises (@p304)) % 0.83/1.05 (step @p306 :rule cnf_or_neg :args (@t354 2)) % 0.83/1.05 (step @p307 :rule chain_m_resolution :premises (@p306 @p305) :args (@t355 @t282 @t356)) % 0.83/1.05 (step @p308 :rule cnf_or_neg :args (@t354 0)) % 0.83/1.05 (step @p309 :rule chain_m_resolution :premises (@p308 @p305) :args ((not @t353) @t282 @t356)) % 0.83/1.05 (step @p310 :rule eq-symm :args (@t235 @t215)) % 0.83/1.05 (step @p311 :rule cong :premises (@p310) :args (@t236)) % 0.83/1.05 (step @p312 :rule eq_resolve :premises (@p181 @p311)) % 0.83/1.05 (step @p313 :rule instantiate :premises (@p312) :args (@t357)) % 0.83/1.05 (step @p314 :rule eq-symm :args (@t158 @t144)) % 0.83/1.05 (step @p315 :rule cong :premises (@p314) :args (@t160)) % 0.83/1.05 (step @p316 :rule eq_resolve :premises (@p82 @p315)) % 0.83/1.05 (step @p317 :rule instantiate :premises (@p316) :args ((@list @t333))) % 0.83/1.05 (step @p318 :rule symm :premises (@p194)) % 0.83/1.05 (assume-push @p499 @t358) % 0.83/1.05 (assume-push @p500 @t340) % 0.83/1.05 (assume-push @p501 @t360) % 0.83/1.05 (assume-push @p502 @t361) % 0.83/1.05 (assume-push @p503 @t340) % 0.83/1.05 (assume-push @p504 @t358) % 0.83/1.05 (assume-push @p505 @t360) % 0.83/1.05 (assume-push @p506 @t361) % 0.83/1.05 (step @p327 :rule refl :args (@t333)) % 0.83/1.05 (step @p328 :rule cong :premises (@p500) :args (@t243)) % 0.83/1.05 (step @p329 :rule trans :premises (@p318 @p328)) % 0.83/1.05 (step @p330 :rule cong :premises (@p329 @p327) :args (@t359)) % 0.83/1.05 (step @p331 :rule symm :premises (@p313)) % 0.83/1.05 (step @p332 :rule refl :args (@t332)) % 0.83/1.05 (step @p333 :rule symm :premises (@p500)) % 0.83/1.05 (step @p334 :rule cong :premises (@p333 @p332) :args (@t335)) % 0.83/1.05 (step @p335 :rule trans :premises (@p334 @p331)) % 0.83/1.05 (step @p336 :rule cong :premises (@p335) :args (@t336)) % 0.83/1.05 (step @p337 :rule trans :premises (@p336 @p317 @p330)) % 0.83/1.05 (step-pop @p507 :rule scope :premises (@p337)) % 0.83/1.05 (step-pop @p508 :rule scope :premises (@p507)) % 0.83/1.05 (step-pop @p509 :rule scope :premises (@p508)) % 0.83/1.05 (step-pop @p510 :rule scope :premises (@p509)) % 0.83/1.05 (step @p338 :rule process_scope :premises (@p510) :args (@t337)) % 0.83/1.05 (step @p343 :rule and_intro :premises (@p500 @p318 @p317 @p313)) % 0.83/1.05 (step @p344 :rule modus_ponens :premises (@p343 @p338)) % 0.83/1.05 (step-pop @p511 :rule scope :premises (@p344)) % 0.83/1.05 (step-pop @p512 :rule scope :premises (@p511)) % 0.83/1.05 (step-pop @p513 :rule scope :premises (@p512)) % 0.83/1.05 (step-pop @p514 :rule scope :premises (@p513)) % 0.83/1.05 (step @p345 :rule process_scope :premises (@p514) :args (@t337)) % 0.83/1.05 (step @p350 :rule implies_elim :premises (@p345)) % 0.83/1.05 (step @p351 :rule cnf_and_neg :args (@t362)) % 0.83/1.05 (step @p352 :rule resolution :premises (@p351 @p350) :args (true @t362)) % 0.83/1.05 (step @p353 :rule reordering :premises (@p352) :args ((or (not @t358) @t341 @t337 (not @t360) (not @t361)))) % 0.83/1.05 (step @p354 :rule chain_m_resolution :premises (@p353 @p318 @p307 @p317 @p313) :args (@t341 (@list false true false false) (@list @t358 @t337 @t360 @t361))) % 0.83/1.05 (step @p355 :rule bool-double-not-elim :args (@t340)) % 0.83/1.05 (step @p356 :rule refl :args (@t363)) % 0.83/1.05 (step @p357 :rule refl :args (@t353)) % 0.83/1.05 (step @p358 :rule nary_cong :premises (@p357 @p356 @p355) :args ((or @t353 @t363 (not @t341)))) % 0.83/1.05 (step @p359 :rule cnf_and_neg :args (@t353)) % 0.83/1.05 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.83/1.05 (step @p361 :rule reordering :premises (@p360) :args ((or @t340 @t353 @t363))) % 0.83/1.05 (step @p362 :rule chain_m_resolution :premises (@p361 @p354 @p309) :args (@t363 (@list true true) (@list @t340 @t353))) % 0.83/1.05 (step @p363 :rule bool-double-not-elim :args (@t350)) % 0.83/1.05 (step @p364 :rule refl :args (@t352)) % 0.83/1.05 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t352 (not @t351)))) % 0.83/1.05 (step @p366 :rule cnf_or_neg :args (@t352 0)) % 0.83/1.05 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.83/1.05 (step @p368 :rule reordering :premises (@p367) :args ((or @t350 @t352))) % 0.83/1.05 (step @p369 :rule chain_m_resolution :premises (@p368 @p362) :args (@t350 @t282 @t364)) % 0.83/1.05 (step @p370 :rule bool-impl-elim :args (@t212 @t237)) % 0.83/1.05 (step @p371 :rule cong :premises (@p370) :args (@t238)) % 0.83/1.05 (step @p372 :rule eq_resolve :premises (@p182 @p371)) % 0.83/1.05 (step @p373 :rule instantiate :premises (@p372) :args ((@list @t348 @t342 @t332))) % 0.83/1.05 (step @p374 :rule 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@t342))) % 0.83/1.05 (step @p387 :rule cnf_or_pos :args (@t374)) % 0.83/1.05 (step @p388 :rule reordering :premises (@p387) :args ((or @t347 @t373 (not @t374)))) % 0.83/1.05 (step @p389 :rule chain_m_resolution :premises (@p388 @p379 @p386) :args (@t373 @t370 (@list @t346 @t374))) % 0.83/1.05 (step @p390 :rule bool-double-not-elim :args (@t344)) % 0.83/1.05 (step @p391 :rule nary_cong :premises (@p364 @p390) :args ((or @t352 (not @t345)))) % 0.83/1.05 (step @p392 :rule cnf_or_neg :args (@t352 2)) % 0.83/1.05 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 0.83/1.05 (step @p394 :rule reordering :premises (@p393) :args ((or @t344 @t352))) % 0.83/1.05 (step @p395 :rule chain_m_resolution :premises (@p394 @p362) :args (@t344 @t282 @t364)) % 0.83/1.05 (assume-push @p515 @t344) % 0.83/1.05 (step @p397 :rule instantiate :premises (@p515) :args (@t357)) % 0.83/1.05 (step-pop @p516 :rule scope :premises (@p397)) % 0.83/1.05 (step @p398 :rule process_scope :premises (@p516) :args (@t378)) % 0.83/1.05 (step @p400 :rule implies_elim :premises (@p398)) % 0.83/1.05 (step @p401 :rule chain_m_resolution :premises (@p400 @p395) :args (@t378 (@list false) (@list @t344))) % 0.83/1.05 (step @p402 :rule bool-double-not-elim :args (@t338)) % 0.83/1.05 (step @p403 :rule refl :args (@t354)) % 0.83/1.05 (step @p404 :rule nary_cong :premises (@p403 @p402) :args ((or @t354 (not @t339)))) % 0.83/1.05 (step @p405 :rule cnf_or_neg :args (@t354 1)) % 0.83/1.05 (step @p406 :rule eq_resolve :premises (@p405 @p404)) % 0.83/1.05 (step @p407 :rule reordering :premises (@p406) :args ((or @t338 @t354))) % 0.83/1.05 (step @p408 :rule chain_m_resolution :premises (@p407 @p305) :args (@t338 @t282 @t356)) % 0.83/1.05 (step @p409 :rule cnf_or_pos :args (@t378)) % 0.83/1.05 (step @p410 :rule reordering :premises (@p409) :args ((or @t339 @t377 (not @t378)))) % 0.83/1.05 (step @p411 :rule chain_m_resolution :premises (@p410 @p408 @p401) :args (@t377 @t370 (@list @t338 @t378))) % 0.83/1.05 (step @p412 :rule bool-impl-elim :args (@t140 @t164)) % 0.83/1.05 (step @p413 :rule cong :premises (@p412) :args (@t165)) % 0.83/1.05 (step @p414 :rule eq_resolve :premises (@p83 @p413)) % 0.83/1.05 (step @p415 :rule instantiate :premises (@p414) :args ((@list @t343 @t333))) % 0.83/1.05 (step @p416 :rule bool-impl-elim :args (@t218 @t246)) % 0.83/1.05 (step @p417 :rule cong :premises (@p416) :args (@t247)) % 0.83/1.05 (step @p418 :rule eq_resolve :premises (@p196 @p417)) % 0.83/1.05 (step @p419 :rule instantiate :premises (@p418) :args ((@list @t342))) % 0.83/1.05 (step @p420 :rule cnf_or_pos :args (@t380)) % 0.83/1.05 (step @p421 :rule reordering :premises (@p420) :args ((or @t347 @t379 (not @t380)))) % 0.83/1.05 (step @p422 :rule chain_m_resolution :premises (@p421 @p379 @p419) :args (@t379 @t370 (@list @t346 @t380))) % 0.83/1.05 (step @p423 :rule cnf_or_pos :args (@t384)) % 0.83/1.05 (step @p424 :rule reordering :premises (@p423) :args ((or @t383 @t382 (not @t384)))) % 0.83/1.05 (step @p425 :rule chain_m_resolution :premises (@p424 @p422 @p415) :args (@t382 @t370 (@list @t379 @t384))) % 0.83/1.05 (step @p426 :rule instantiate :premises (@p385) :args ((@list @t348 @t365))) % 0.83/1.05 (step @p427 :rule aci_norm :args ((= (or @t269 @t239) (or @t267 @t266 @t239)))) % 0.83/1.05 (step @p428 :rule refl :args (@t239)) % 0.83/1.05 (step @p429 :rule nary_cong :premises (@p204 @p428) :args ((or @t270 @t239))) % 0.83/1.05 (step @p430 :rule trans :premises (@p429 @p427)) % 0.83/1.05 (step @p431 :rule bool-impl-elim :args (@t228 @t239)) % 0.83/1.05 (step @p432 :rule trans :premises (@p431 @p430)) % 0.83/1.05 (step @p433 :rule cong :premises (@p432) :args (@t240)) % 0.83/1.05 (step @p434 :rule eq_resolve :premises (@p183 @p433)) % 0.83/1.05 (step @p435 :rule instantiate :premises (@p434) :args ((@list @t342 @t332))) % 0.83/1.05 (step @p436 :rule cnf_or_pos :args (@t386)) % 0.83/1.05 (step @p437 :rule reordering :premises (@p436) :args ((or @t347 @t339 @t385 (not @t386)))) % 0.83/1.05 (step @p438 :rule chain_m_resolution :premises (@p437 @p379 @p408 @p435) :args (@t385 (@list false false false) (@list @t346 @t338 @t386))) % 0.83/1.05 (step @p439 :rule cnf_or_pos :args (@t391)) % 0.83/1.05 (step @p440 :rule reordering :premises (@p439) :args ((or @t390 @t389 (not @t391)))) % 0.83/1.05 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p426) :args (@t389 @t370 (@list @t385 @t391))) % 0.83/1.05 (step @p442 :rule refl :args (@t392)) % 0.83/1.05 (step @p443 :rule refl :args (@t393)) % 0.83/1.05 (step @p444 :rule refl :args (@t394)) % 0.83/1.05 (step @p445 :rule refl :args (@t395)) % 0.83/1.05 (step @p446 :rule refl :args (@t396)) % 0.83/1.05 (step @p447 :rule bool-double-not-elim :args (@t337)) % 0.83/1.05 (step @p448 :rule refl :args (@t351)) % 0.83/1.05 (step @p449 :rule nary_cong :premises (@p448 @p447 @p446 @p445 @p444 @p443 @p442) :args ((or @t351 (not @t355) @t396 @t395 @t394 @t393 @t392))) % 0.83/1.05 (assume-push @p517 @t350) % 0.83/1.05 (assume-push @p518 @t355) % 0.83/1.05 (assume-push @p519 @t368) % 0.83/1.05 (assume-push @p520 @t373) % 0.83/1.05 (assume-push @p521 @t377) % 0.83/1.05 (assume-push @p522 @t382) % 0.83/1.05 (assume-push @p523 @t355) % 0.83/1.05 (assume-push @p524 @t350) % 0.83/1.05 (assume-push @p525 @t368) % 0.83/1.05 (assume-push @p526 @t373) % 0.83/1.05 (assume-push @p527 @t382) % 0.83/1.05 (assume-push @p528 @t377) % 0.83/1.05 (step @p462 :rule false_intro :premises (@p307)) % 0.83/1.05 (step @p327 :rule refl :args (@t333)) % 0.83/1.05 (step @p463 :rule symm :premises (@p517)) % 0.83/1.05 (step @p464 :rule cong :premises (@p463) :args (@t372)) % 0.83/1.05 (step @p465 :rule symm :premises (@p520)) % 0.83/1.05 (step @p466 :rule trans :premises (@p465 @p464)) % 0.83/1.05 (step @p467 :rule cong :premises (@p466 @p327) :args (@t381)) % 0.83/1.05 (step @p468 :rule symm :premises (@p522)) % 0.83/1.05 (step @p469 :rule cong :premises (@p521) :args (@t387)) % 0.83/1.05 (step @p470 :rule trans :premises (@p469 @p468 @p467)) % 0.83/1.05 (step @p332 :rule refl :args (@t332)) % 0.83/1.05 (step @p471 :rule cong :premises (@p463 @p332) :args (@t367)) % 0.83/1.05 (step @p472 :rule symm :premises (@p519)) % 0.83/1.05 (step @p473 :rule trans :premises (@p472 @p471)) % 0.83/1.05 (step @p474 :rule cong :premises (@p473) :args (@t388)) % 0.83/1.05 (step @p475 :rule cong :premises (@p474 @p470) :args (@t389)) % 0.83/1.05 (step @p476 :rule trans :premises (@p475 @p462)) % 0.83/1.05 (step @p477 :rule false_elim :premises (@p476)) % 0.83/1.05 (step-pop @p529 :rule scope :premises (@p477)) % 0.83/1.05 (step-pop @p530 :rule scope :premises (@p529)) % 0.83/1.05 (step-pop @p531 :rule scope :premises (@p530)) % 0.83/1.05 (step-pop @p532 :rule scope :premises (@p531)) % 0.83/1.05 (step-pop @p533 :rule scope :premises (@p532)) % 0.83/1.05 (step-pop @p534 :rule scope :premises (@p533)) % 0.83/1.05 (step @p478 :rule process_scope :premises (@p534) :args (@t392)) % 0.83/1.05 (step @p485 :rule and_intro :premises (@p307 @p517 @p519 @p520 @p522 @p521)) % 0.83/1.05 (step @p486 :rule modus_ponens :premises (@p485 @p478)) % 0.83/1.05 (step-pop @p535 :rule scope :premises (@p486)) % 0.83/1.05 (step-pop @p536 :rule scope :premises (@p535)) % 0.83/1.05 (step-pop @p537 :rule scope :premises (@p536)) % 0.83/1.05 (step-pop @p538 :rule scope :premises (@p537)) % 0.83/1.05 (step-pop @p539 :rule scope :premises (@p538)) % 0.83/1.05 (step-pop @p540 :rule scope :premises (@p539)) % 0.83/1.05 (step @p487 :rule process_scope :premises (@p540) :args (@t392)) % 0.83/1.05 (step @p494 :rule implies_elim :premises (@p487)) % 0.83/1.05 (step @p495 :rule cnf_and_neg :args (@t397)) % 0.83/1.05 (step @p496 :rule resolution :premises (@p495 @p494) :args (true @t397)) % 0.83/1.05 (step @p497 :rule eq_resolve :premises (@p496 @p449)) % 0.83/1.05 (step @p498 false :rule chain_m_resolution :premises (@p497 @p441 @p425 @p411 @p389 @p382 @p369 @p307) :args (false (@list false false false false false false true) (@list @t389 @t382 @t377 @t373 @t368 @t350 @t337))) % 0.83/1.05 ) % 0.83/1.05 % SZS output end Proof % 0.83/1.05 % cvc5 exiting %------------------------------------------------------------------------------