%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW624_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:05:22 AM UTC 2026 % Result : Theorem 45.94s 46.20s % Output : Proof 45.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWW624_2 : TPTP v9.2.1. Released v6.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:20:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.53 %----Proving TF0_ARI % 45.94/46.20 --- Run --finite-model-find --decision=internal at 45... % 45.94/46.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.94/46.20 % SZS status Theorem % 45.94/46.20 % SZS output start Proof % 45.94/46.20 ( % 45.94/46.20 (declare-sort tptp.list_elt 0) % 45.94/46.20 (declare-sort tptp.elt 0) % 45.94/46.20 (declare-sort tptp.tuple0 0) % 45.94/46.20 (declare-sort tptp.bool 0) % 45.94/46.20 (declare-sort tptp.ty 0) % 45.94/46.20 (declare-sort tptp.uni 0) % 45.94/46.20 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.mod (-> Int Int Int)) % 45.94/46.20 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 45.94/46.20 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 45.94/46.20 (declare-const tptp.tb2t (-> tptp.uni tptp.list_elt)) % 45.94/46.20 (declare-const tptp.true tptp.bool) % 45.94/46.20 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.div (-> Int Int Int)) % 45.94/46.20 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 45.94/46.20 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.permut (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.94/46.20 (declare-const tptp.le (-> tptp.elt tptp.elt Bool)) % 45.94/46.20 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 45.94/46.20 (declare-const tptp.rev_append (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.tuple02 tptp.tuple0) % 45.94/46.20 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.false tptp.bool) % 45.94/46.20 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.94/46.20 (declare-const tptp.prefix (-> tptp.ty Int tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.num_occ (-> tptp.ty tptp.uni tptp.uni Int)) % 45.94/46.20 (declare-const tptp.t2tb1 (-> tptp.elt tptp.uni)) % 45.94/46.20 (declare-const tptp.reverse (-> tptp.ty tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.t2tb (-> tptp.list_elt tptp.uni)) % 45.94/46.20 (declare-const tptp.elt1 tptp.ty) % 45.94/46.20 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.94/46.20 (declare-const tptp.sorted (-> tptp.list_elt Bool)) % 45.94/46.20 (declare-const tptp.tb2t1 (-> tptp.uni tptp.elt)) % 45.94/46.20 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 45.94/46.20 (declare-const tptp.abs (-> Int Int)) % 45.94/46.20 (define @t1 () (@var "A" tptp.ty)) % 45.94/46.20 (define @t2 () (@list @t1)) % 45.94/46.20 (define @t3 () (@var "X2" tptp.uni)) % 45.94/46.20 (define @t4 () (@var "X1" tptp.uni)) % 45.94/46.20 (define @t5 () (@var "X" tptp.bool)) % 45.94/46.20 (define @t6 () (@var "Z" tptp.uni)) % 45.94/46.20 (define @t7 () (@var "Z1" tptp.uni)) % 45.94/46.20 (define @t8 () (@list @t1 @t6 @t7)) % 45.94/46.20 (define @t9 () (@var "U" tptp.bool)) % 45.94/46.20 (define @t10 () (@var "U" tptp.tuple0)) % 45.94/46.20 (define @t11 () (@var "Z" Int)) % 45.94/46.20 (define @t12 () (@var "Y" Int)) % 45.94/46.20 (define @t13 () (@var "X" Int)) % 45.94/46.20 (define @t14 () (<= 0 @t11)) % 45.94/46.20 (define @t15 () (<= @t13 @t12)) % 45.94/46.20 (define @t16 () (@list @t13 @t12 @t11)) % 45.94/46.20 (define @t17 () (tptp.nil @t1)) % 45.94/46.20 (define @t18 () (tptp.list @t1)) % 45.94/46.20 (define @t19 () (@var "X" tptp.uni)) % 45.94/46.20 (define @t20 () (tptp.cons @t1 @t19 @t4)) % 45.94/46.20 (define @t21 () (@list @t1 @t19 @t4)) % 45.94/46.20 (define @t22 () (@var "A1" tptp.ty)) % 45.94/46.20 (define @t23 () (@var "U1" tptp.uni)) % 45.94/46.20 (define @t24 () (@var "U" tptp.uni)) % 45.94/46.20 (define @t25 () (tptp.cons @t1 @t24 @t23)) % 45.94/46.20 (define @t26 () (@var "V1" tptp.uni)) % 45.94/46.20 (define @t27 () (@var "V" tptp.uni)) % 45.94/46.20 (define @t28 () (@list @t1 @t19)) % 45.94/46.20 (define @t29 () (@list @t1 @t24 @t23)) % 45.94/46.20 (define @t30 () (@list @t19 @t4)) % 45.94/46.20 (define @t31 () (forall @t30 (= (tptp.length @t1 @t20) (+ 1 (tptp.length @t1 @t4))))) % 45.94/46.20 (define @t32 () (= (tptp.length @t1 @t17) 0)) % 45.94/46.20 (define @t33 () (forall @t2 (and @t32 @t31))) % 45.94/46.20 (define @t34 () (@var "L" tptp.uni)) % 45.94/46.20 (define @t35 () (tptp.length @t1 @t34)) % 45.94/46.20 (define @t36 () (@list @t1 @t34)) % 45.94/46.20 (define @t37 () (forall @t36 (<= 0 @t35))) % 45.94/46.20 (define @t38 () (= @t35 0)) % 45.94/46.20 (define @t39 () (= @t38 (= @t34 @t17))) % 45.94/46.20 (define @t40 () (forall @t36 @t39)) % 45.94/46.20 (define @t41 () (@var "L2" tptp.uni)) % 45.94/46.20 (define @t42 () (@var "L3" tptp.uni)) % 45.94/46.20 (define @t43 () (@var "L1" tptp.uni)) % 45.94/46.20 (define @t44 () (tptp.infix_plpl @t1 @t43 @t41)) % 45.94/46.20 (define @t45 () (tptp.infix_plpl @t1 @t44 @t42)) % 45.94/46.20 (define @t46 () (tptp.infix_plpl @t1 @t43 (tptp.infix_plpl @t1 @t41 @t42))) % 45.94/46.20 (define @t47 () (@list @t1 @t43 @t41 @t42)) % 45.94/46.20 (define @t48 () (tptp.length @t1 @t41)) % 45.94/46.20 (define @t49 () (tptp.length @t1 @t43)) % 45.94/46.20 (define @t50 () (+ @t49 @t48)) % 45.94/46.20 (define @t51 () (@list @t1 @t43 @t41)) % 45.94/46.20 (define @t52 () (= @t19 @t4)) % 45.94/46.20 (define @t53 () (tptp.cons @t1 @t4 @t3)) % 45.94/46.20 (define @t54 () (tptp.sort @t1 @t4)) % 45.94/46.20 (define @t55 () (@list @t4 @t3)) % 45.94/46.20 (define @t56 () (tptp.sort @t1 @t19)) % 45.94/46.20 (define @t57 () (tptp.mem @t1 @t19 @t41)) % 45.94/46.20 (define @t58 () (tptp.mem @t1 @t19 @t43)) % 45.94/46.20 (define @t59 () (@list @t1 @t19 @t43 @t41)) % 45.94/46.20 (define @t60 () (tptp.cons @t1 @t19 @t41)) % 45.94/46.20 (define @t61 () (tptp.infix_plpl @t1 @t43 @t60)) % 45.94/46.20 (define @t62 () (tptp.mem @t1 @t19 @t34)) % 45.94/46.20 (define @t63 () (@list @t1 @t19 @t34)) % 45.94/46.20 (define @t64 () (tptp.num_occ @t1 @t19 @t3)) % 45.94/46.20 (define @t65 () (tptp.num_occ @t1 @t19 @t53)) % 45.94/46.20 (define @t66 () (tptp.num_occ @t1 @t19 @t34)) % 45.94/46.20 (define @t67 () (tptp.num_occ @t1 @t19 @t41)) % 45.94/46.20 (define @t68 () (tptp.num_occ @t1 @t19 @t43)) % 45.94/46.20 (define @t69 () (tptp.cons @t1 @t19 @t17)) % 45.94/46.20 (define @t70 () (tptp.cons @t1 @t19 @t43)) % 45.94/46.20 (define @t71 () (tptp.reverse @t1 @t34)) % 45.94/46.20 (define @t72 () (tptp.cons @t1 @t19 @t34)) % 45.94/46.20 (define @t73 () (@list @t1 @t34 @t19)) % 45.94/46.20 (define @t74 () (tptp.permut @t1 @t43 @t41)) % 45.94/46.20 (define @t75 () (= @t68 @t67)) % 45.94/46.20 (define @t76 () (@list @t19)) % 45.94/46.20 (define @t77 () (forall @t76 (=> @t56 @t75))) % 45.94/46.20 (define @t78 () (=> @t77 @t74)) % 45.94/46.20 (define @t79 () (forall @t76 @t75)) % 45.94/46.20 (define @t80 () (=> @t74 @t79)) % 45.94/46.20 (define @t81 () (and @t80 @t78)) % 45.94/46.20 (define @t82 () (forall @t51 @t81)) % 45.94/46.20 (define @t83 () (tptp.permut @t1 @t70 @t60)) % 45.94/46.20 (define @t84 () (forall @t59 (=> @t74 @t83))) % 45.94/46.20 (define @t85 () (@var "Y" tptp.uni)) % 45.94/46.20 (define @t86 () (@var "K2" tptp.uni)) % 45.94/46.20 (define @t87 () (@var "K1" tptp.uni)) % 45.94/46.20 (define @t88 () (@var "X" tptp.elt)) % 45.94/46.20 (define @t89 () (@list @t88)) % 45.94/46.20 (define @t90 () (@var "Z" tptp.elt)) % 45.94/46.20 (define @t91 () (@var "Y" tptp.elt)) % 45.94/46.20 (define @t92 () (tptp.le @t88 @t91)) % 45.94/46.20 (define @t93 () (tptp.le @t91 @t88)) % 45.94/46.20 (define @t94 () (@list @t88 @t91)) % 45.94/46.20 (define @t95 () (@var "X" tptp.list_elt)) % 45.94/46.20 (define @t96 () (@var "I" tptp.list_elt)) % 45.94/46.20 (define @t97 () (@var "J" tptp.uni)) % 45.94/46.20 (define @t98 () (@list @t97)) % 45.94/46.20 (define @t99 () (tptp.nil tptp.elt1)) % 45.94/46.20 (define @t100 () (tptp.tb2t @t99)) % 45.94/46.20 (define @t101 () (tptp.t2tb1 @t88)) % 45.94/46.20 (define @t102 () (@var "I" tptp.elt)) % 45.94/46.20 (define @t103 () (tptp.tb2t (tptp.cons tptp.elt1 @t101 @t99))) % 45.94/46.20 (define @t104 () (@var "L" tptp.list_elt)) % 45.94/46.20 (define @t105 () (tptp.t2tb @t104)) % 45.94/46.20 (define @t106 () (tptp.t2tb1 @t91)) % 45.94/46.20 (define @t107 () (tptp.cons tptp.elt1 @t106 @t105)) % 45.94/46.20 (define @t108 () (tptp.tb2t (tptp.cons tptp.elt1 @t101 @t107))) % 45.94/46.20 (define @t109 () (tptp.sorted (tptp.tb2t @t107))) % 45.94/46.20 (define @t110 () (@list @t88 @t91 @t104)) % 45.94/46.20 (define @t111 () (@var "Z" tptp.list_elt)) % 45.94/46.20 (define @t112 () (tptp.cons tptp.elt1 @t101 @t105)) % 45.94/46.20 (define @t113 () (tptp.sorted @t104)) % 45.94/46.20 (define @t114 () (tptp.mem tptp.elt1 @t106 @t105)) % 45.94/46.20 (define @t115 () (=> @t114 @t92)) % 45.94/46.20 (define @t116 () (@list @t91)) % 45.94/46.20 (define @t117 () (@list @t88 @t104)) % 45.94/46.20 (define @t118 () (@var "L2" tptp.list_elt)) % 45.94/46.20 (define @t119 () (tptp.t2tb @t118)) % 45.94/46.20 (define @t120 () (@var "L1" tptp.list_elt)) % 45.94/46.20 (define @t121 () (tptp.t2tb @t120)) % 45.94/46.20 (define @t122 () (@var "T" tptp.uni)) % 45.94/46.20 (define @t123 () (@var "R" tptp.uni)) % 45.94/46.20 (define @t124 () (@var "S" tptp.uni)) % 45.94/46.20 (define @t125 () (@list @t1 @t123 @t124 @t122)) % 45.94/46.20 (define @t126 () (@var "Acc" tptp.list_elt)) % 45.94/46.20 (define @t127 () (tptp.t2tb @t126)) % 45.94/46.20 (define @t128 () (@var "X1" tptp.elt)) % 45.94/46.20 (define @t129 () (tptp.mem tptp.elt1 @t101 @t127)) % 45.94/46.20 (define @t130 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t127)))) % 45.94/46.20 (define @t131 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t112)))) % 45.94/46.20 (define @t132 () (tptp.prefix @t1 0 @t34)) % 45.94/46.20 (define @t133 () (forall @t36 (= @t132 @t17))) % 45.94/46.20 (define @t134 () (@var "N" Int)) % 45.94/46.20 (define @t135 () (- @t134 1)) % 45.94/46.20 (define @t136 () (tptp.prefix @t1 @t135 @t34)) % 45.94/46.20 (define @t137 () (tptp.cons @t1 @t19 @t136)) % 45.94/46.20 (define @t138 () (tptp.prefix @t1 @t134 @t72)) % 45.94/46.20 (define @t139 () (= @t138 @t137)) % 45.94/46.20 (define @t140 () (=> (< 0 @t134) @t139)) % 45.94/46.20 (define @t141 () (@list @t1 @t134 @t19 @t34)) % 45.94/46.20 (define @t142 () (forall @t141 @t140)) % 45.94/46.20 (define @t143 () (tptp.abs @t13)) % 45.94/46.20 (define @t144 () (<= 0 @t13)) % 45.94/46.20 (define @t145 () (@list @t13)) % 45.94/46.20 (define @t146 () (@list @t13 @t12)) % 45.94/46.20 (define @t147 () (tptp.mod @t13 @t12)) % 45.94/46.20 (define @t148 () (tptp.div @t13 @t12)) % 45.94/46.20 (define @t149 () (not (= @t12 0))) % 45.94/46.20 (define @t150 () (<= 0 @t148)) % 45.94/46.20 (define @t151 () (< 0 @t12)) % 45.94/46.20 (define @t152 () (and @t144 @t151)) % 45.94/46.20 (define @t153 () (tptp.abs @t12)) % 45.94/46.20 (define @t154 () (<= @t13 0)) % 45.94/46.20 (define @t155 () (and @t144 (< @t13 @t12))) % 45.94/46.20 (define @t156 () (+ (* @t13 @t12) @t11)) % 45.94/46.20 (define @t157 () (and (< 0 @t13) (<= 0 @t12) @t14)) % 45.94/46.20 (define @t158 () (@var "X1" tptp.list_elt)) % 45.94/46.20 (define @t159 () (tptp.t2tb @t158)) % 45.94/46.20 (define @t160 () (tptp.cons tptp.elt1 @t101 @t159)) % 45.94/46.20 (define @t161 () (tptp.permut tptp.elt1 (tptp.prefix tptp.elt1 (tptp.length tptp.elt1 @t160) @t160) @t160)) % 45.94/46.20 (define @t162 () (tptp.permut tptp.elt1 (tptp.prefix tptp.elt1 (tptp.length tptp.elt1 @t159) @t159) @t159)) % 45.94/46.20 (define @t163 () (@list @t88 @t158)) % 45.94/46.20 (define @t164 () (forall @t163 (=> @t162 @t161))) % 45.94/46.20 (define @t165 () (tptp.prefix tptp.elt1 (tptp.length tptp.elt1 @t99) @t99)) % 45.94/46.20 (define @t166 () (tptp.permut tptp.elt1 @t165 @t99)) % 45.94/46.20 (define @t167 () (and @t166 @t164)) % 45.94/46.20 (define @t168 () (not @t167)) % 45.94/46.20 (define @t169 () (forall @t163 (or (not @t162) @t161))) % 45.94/46.20 (define @t170 () (tptp.t2tb (@quantifiers_skolemize @t169 1))) % 45.94/46.20 (define @t171 () (tptp.t2tb1 (@quantifiers_skolemize @t169 0))) % 45.94/46.20 (define @t172 () (tptp.cons tptp.elt1 @t171 @t170)) % 45.94/46.20 (define @t173 () (tptp.length tptp.elt1 @t172)) % 45.94/46.20 (define @t174 () (+ -1 @t173)) % 45.94/46.20 (define @t175 () (tptp.prefix tptp.elt1 @t174 @t170)) % 45.94/46.20 (define @t176 () (>= @t134 1)) % 45.94/46.20 (define @t177 () (+ -1 @t134)) % 45.94/46.20 (define @t178 () (= @t138 (tptp.cons @t1 @t19 (tptp.prefix @t1 @t177 @t34)))) % 45.94/46.20 (define @t179 () (* -1 1)) % 45.94/46.20 (define @t180 () (+ @t134 @t179)) % 45.94/46.20 (define @t181 () (+ @t134 1)) % 45.94/46.20 (define @t182 () (>= 0 @t134)) % 45.94/46.20 (define @t183 () (= @t173 0)) % 45.94/46.20 (define @t184 () (= @t99 @t172)) % 45.94/46.20 (define @t185 () (forall @t36 (= @t38 (= @t17 @t34)))) % 45.94/46.20 (define @t186 () (= @t183 @t184)) % 45.94/46.20 (define @t187 () (@list tptp.elt1 @t172)) % 45.94/46.20 (define @t188 () (= @t184 @t183)) % 45.94/46.20 (define @t189 () (@list false)) % 45.94/46.20 (define @t190 () (@list tptp.elt1 @t171 @t170)) % 45.94/46.20 (define @t191 () (not @t183)) % 45.94/46.20 (define @t192 () (@list true false)) % 45.94/46.20 (define @t193 () (tptp.cons tptp.elt1 @t171 @t175)) % 45.94/46.20 (define @t194 () (tptp.prefix tptp.elt1 @t173 @t172)) % 45.94/46.20 (define @t195 () (= @t194 @t193)) % 45.94/46.20 (define @t196 () (>= @t173 1)) % 45.94/46.20 (define @t197 () (not @t196)) % 45.94/46.20 (define @t198 () (or @t197 @t195)) % 45.94/46.20 (define @t199 () (@list false false)) % 45.94/46.20 (define @t200 () (@var "BOUND_VARIABLE_8443" tptp.uni)) % 45.94/46.20 (define @t201 () (@var "BOUND_VARIABLE_8441" tptp.uni)) % 45.94/46.20 (define @t202 () (@var "BOUND_VARIABLE_8439" tptp.ty)) % 45.94/46.20 (define @t203 () (forall (@list @t202 @t201 @t200) (or (not (forall @t76 (or (not (tptp.sort @t202 @t19)) (= (tptp.num_occ @t202 @t19 @t201) (tptp.num_occ @t202 @t19 @t200))))) (tptp.permut @t202 @t201 @t200)))) % 45.94/46.20 (define @t204 () (@var "BOUND_VARIABLE_8428" tptp.uni)) % 45.94/46.20 (define @t205 () (@var "BOUND_VARIABLE_8458" tptp.uni)) % 45.94/46.20 (define @t206 () (@var "BOUND_VARIABLE_8424" tptp.ty)) % 45.94/46.20 (define @t207 () (@var "BOUND_VARIABLE_8426" tptp.uni)) % 45.94/46.20 (define @t208 () (= (tptp.num_occ @t206 @t205 @t207) (tptp.num_occ @t206 @t205 @t204))) % 45.94/46.20 (define @t209 () (not (tptp.permut @t206 @t207 @t204))) % 45.94/46.20 (define @t210 () (or @t209 @t208)) % 45.94/46.20 (define @t211 () (@list @t205)) % 45.94/46.20 (define @t212 () (forall @t211 @t210)) % 45.94/46.20 (define @t213 () (@list @t206 @t207 @t204)) % 45.94/46.20 (define @t214 () (forall @t211 @t208)) % 45.94/46.20 (define @t215 () (or @t209 @t214)) % 45.94/46.20 (define @t216 () (forall @t213 (or @t209 (forall @t76 (= (tptp.num_occ @t206 @t19 @t207) (tptp.num_occ @t206 @t19 @t204)))))) % 45.94/46.20 (define @t217 () (forall @t76 (or (not @t56) @t75))) % 45.94/46.20 (define @t218 () (or (not @t217) @t74)) % 45.94/46.20 (define @t219 () (forall @t51 @t218)) % 45.94/46.20 (define @t220 () (@list @t1 @t43 @t41)) % 45.94/46.20 (define @t221 () (or (not @t74) @t79)) % 45.94/46.20 (define @t222 () (forall @t51 @t221)) % 45.94/46.20 (define @t223 () (and @t222 @t219)) % 45.94/46.20 (define @t224 () (and @t80 (=> @t217 @t74))) % 45.94/46.20 (define @t225 () (@var "BOUND_VARIABLE_8212" tptp.ty)) % 45.94/46.20 (define @t226 () (= (tptp.length @t225 (tptp.cons @t225 @t19 @t4)) (+ 1 (tptp.length @t225 @t4)))) % 45.94/46.20 (define @t227 () (forall (@list @t225 @t19 @t4) @t226)) % 45.94/46.20 (define @t228 () (forall (@list @t225) (forall @t30 @t226))) % 45.94/46.20 (define @t229 () (@var "BOUND_VARIABLE_8205" tptp.ty)) % 45.94/46.20 (define @t230 () (forall (@list @t229) (= (tptp.length @t229 (tptp.nil @t229)) 0))) % 45.94/46.20 (define @t231 () (forall @t2 @t31)) % 45.94/46.20 (define @t232 () (@list @t1)) % 45.94/46.20 (define @t233 () (forall @t2 @t32)) % 45.94/46.20 (define @t234 () (and @t233 @t231)) % 45.94/46.20 (define @t235 () (forall @t76 (or (not (tptp.sort tptp.elt1 @t19)) (= (tptp.num_occ tptp.elt1 @t19 @t165) (tptp.num_occ tptp.elt1 @t19 @t99))))) % 45.94/46.20 (define @t236 () (@quantifiers_skolemize @t235 0)) % 45.94/46.20 (define @t237 () (tptp.num_occ tptp.elt1 @t236 @t165)) % 45.94/46.20 (define @t238 () (= @t237 (tptp.num_occ tptp.elt1 @t236 @t99))) % 45.94/46.20 (define @t239 () (or (not (tptp.sort tptp.elt1 @t236)) @t238)) % 45.94/46.20 (define @t240 () (not @t239)) % 45.94/46.20 (define @t241 () (not @t235)) % 45.94/46.20 (define @t242 () (or @t241 @t166)) % 45.94/46.20 (define @t243 () (not @t169)) % 45.94/46.20 (define @t244 () (tptp.permut tptp.elt1 @t194 @t172)) % 45.94/46.20 (define @t245 () (tptp.length tptp.elt1 @t170)) % 45.94/46.20 (define @t246 () (tptp.permut tptp.elt1 (tptp.prefix tptp.elt1 @t245 @t170) @t170)) % 45.94/46.20 (define @t247 () (not @t246)) % 45.94/46.20 (define @t248 () (or @t247 @t244)) % 45.94/46.20 (define @t249 () (not @t248)) % 45.94/46.20 (define @t250 () (@list true)) % 45.94/46.20 (define @t251 () (not @t244)) % 45.94/46.20 (define @t252 () (@list @t248)) % 45.94/46.20 (define @t253 () (tptp.permut tptp.elt1 @t193 @t172)) % 45.94/46.20 (define @t254 () (not @t253)) % 45.94/46.20 (define @t255 () (not @t195)) % 45.94/46.20 (define @t256 () (and @t251 @t195)) % 45.94/46.20 (define @t257 () (+ 1 @t245)) % 45.94/46.20 (define @t258 () (= @t245 @t174)) % 45.94/46.20 (define @t259 () (= @t173 @t257)) % 45.94/46.20 (define @t260 () (tptp.permut tptp.elt1 @t175 @t170)) % 45.94/46.20 (define @t261 () (and @t246 @t258)) % 45.94/46.20 (define @t262 () (not @t260)) % 45.94/46.20 (define @t263 () (or @t262 @t253)) % 45.94/46.20 (assume @p1 (forall @t2 (tptp.sort @t1 (tptp.witness @t1)))) % 45.94/46.20 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort @t1 (tptp.match_bool @t1 @t5 @t4 @t3)))) % 45.94/46.20 (assume @p3 (forall @t8 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.true @t6 @t7) @t6)))) % 45.94/46.20 (assume @p4 (forall @t8 (=> (tptp.sort @t1 @t7) (= (tptp.match_bool @t1 tptp.false @t6 @t7) @t7)))) % 45.94/46.20 (assume @p5 (not (= tptp.true tptp.false))) % 45.94/46.20 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true) (= @t9 tptp.false)))) % 45.94/46.20 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple02))) % 45.94/46.20 (assume @p8 (forall @t16 (=> @t15 (=> @t14 (<= (* @t13 @t11) (* @t12 @t11)))))) % 45.94/46.20 (assume @p9 (forall @t2 (tptp.sort @t18 @t17))) % 45.94/46.20 (assume @p10 (forall @t21 (tptp.sort @t18 @t20))) % 45.94/46.20 (assume @p11 (forall (@list @t1 @t22 @t19 @t4 @t3) (tptp.sort @t22 (tptp.match_list @t22 @t1 @t19 @t4 @t3)))) % 45.94/46.20 (assume @p12 (forall (@list @t1 @t22 @t6 @t7) (=> (tptp.sort @t22 @t6) (= (tptp.match_list @t22 @t1 @t17 @t6 @t7) @t6)))) % 45.94/46.20 (assume @p13 (forall (@list @t1 @t22 @t6 @t7 @t24 @t23) (=> (tptp.sort @t22 @t7) (= (tptp.match_list @t22 @t1 @t25 @t6 @t7) @t7)))) % 45.94/46.20 (assume @p14 (forall (@list @t1 @t27 @t26) (not (= @t17 (tptp.cons @t1 @t27 @t26))))) % 45.94/46.20 (assume @p15 (forall @t28 (tptp.sort @t1 (tptp.cons_proj_1 @t1 @t19)))) % 45.94/46.20 (assume @p16 (forall @t29 (=> (tptp.sort @t1 @t24) (= (tptp.cons_proj_1 @t1 @t25) @t24)))) % 45.94/46.20 (assume @p17 (forall @t28 (tptp.sort @t18 (tptp.cons_proj_2 @t1 @t19)))) % 45.94/46.20 (assume @p18 (forall @t29 (= (tptp.cons_proj_2 @t1 @t25) @t23))) % 45.94/46.20 (assume @p19 (forall (@list @t1 @t24) (or (= @t24 @t17) (= @t24 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t24) (tptp.cons_proj_2 @t1 @t24)))))) % 45.94/46.20 (assume @p20 @t33) % 45.94/46.20 (assume @p21 @t37) % 45.94/46.20 (assume @p22 @t40) % 45.94/46.20 (assume @p23 (forall @t21 (tptp.sort @t18 (tptp.infix_plpl @t1 @t19 @t4)))) % 45.94/46.20 (assume @p24 (forall (@list @t1 @t41) (and (= (tptp.infix_plpl @t1 @t17 @t41) @t41) (forall @t30 (= (tptp.infix_plpl @t1 @t20 @t41) (tptp.cons @t1 @t19 (tptp.infix_plpl @t1 @t4 @t41))))))) % 45.94/46.20 (assume @p25 (forall @t47 (= @t46 @t45))) % 45.94/46.20 (assume @p26 (forall @t36 (= (tptp.infix_plpl @t1 @t34 @t17) @t34))) % 45.94/46.20 (assume @p27 (forall @t51 (= (tptp.length @t1 @t44) @t50))) % 45.94/46.20 (assume @p28 (forall @t28 (=> @t56 (and (not (tptp.mem @t1 @t19 @t17)) (forall @t55 (=> @t54 (= (tptp.mem @t1 @t19 @t53) (or @t52 (tptp.mem @t1 @t19 @t3))))))))) % 45.94/46.20 (assume @p29 (forall @t59 (= (tptp.mem @t1 @t19 @t44) (or @t58 @t57)))) % 45.94/46.20 (assume @p30 (forall @t63 (=> @t62 (exists (@list @t43 @t41) (and (tptp.sort @t18 @t43) (tptp.sort @t18 @t41) (= @t34 @t61)))))) % 45.94/46.20 (assume @p31 (forall @t28 (=> @t56 (and (= (tptp.num_occ @t1 @t19 @t17) 0) (forall @t55 (=> @t54 (and (=> @t52 (= @t65 (+ 1 @t64))) (=> (not @t52) (= @t65 (+ 0 @t64)))))))))) % 45.94/46.20 (assume @p32 (forall @t63 (= @t62 (< 0 @t66)))) % 45.94/46.20 (assume @p33 (forall @t59 (= (tptp.num_occ @t1 @t19 @t44) (+ @t68 @t67)))) % 45.94/46.20 (assume @p34 (forall @t28 (tptp.sort @t18 (tptp.reverse @t1 @t19)))) % 45.94/46.20 (assume @p35 (forall @t2 (and (= (tptp.reverse @t1 @t17) @t17) (forall @t30 (= (tptp.reverse @t1 @t20) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t4) @t69)))))) % 45.94/46.20 (assume @p36 (forall (@list @t1 @t43 @t41 @t19) (= (tptp.infix_plpl @t1 (tptp.reverse @t1 @t70) @t41) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t43) @t60)))) % 45.94/46.20 (assume @p37 (forall @t73 (= (tptp.reverse @t1 @t72) (tptp.infix_plpl @t1 @t71 @t69)))) % 45.94/46.20 (assume @p38 (forall @t36 (= (tptp.reverse @t1 @t71) @t34))) % 45.94/46.20 (assume @p39 (forall @t73 (= @t62 (tptp.mem @t1 @t19 @t71)))) % 45.94/46.20 (assume @p40 (forall @t36 (= (tptp.length @t1 @t71) @t35))) % 45.94/46.20 (assume @p41 (forall @t63 (= @t66 (tptp.num_occ @t1 @t19 @t71)))) % 45.94/46.20 (assume @p42 @t82) % 45.94/46.20 (assume @p43 (forall @t36 (tptp.permut @t1 @t34 @t34))) % 45.94/46.20 (assume @p44 (forall @t51 (=> @t74 (tptp.permut @t1 @t41 @t43)))) % 45.94/46.20 (assume @p45 (forall @t47 (=> @t74 (=> (tptp.permut @t1 @t41 @t42) (tptp.permut @t1 @t43 @t42))))) % 45.94/46.20 (assume @p46 @t84) % 45.94/46.20 (assume @p47 (forall (@list @t1 @t19 @t85 @t34) (tptp.permut @t1 (tptp.cons @t1 @t19 (tptp.cons @t1 @t85 @t34)) (tptp.cons @t1 @t85 @t72)))) % 45.94/46.20 (assume @p48 (forall @t59 (tptp.permut @t1 (tptp.infix_plpl @t1 @t70 @t41) @t61))) % 45.94/46.20 (assume @p49 (forall @t47 (tptp.permut @t1 @t45 @t46))) % 45.94/46.20 (assume @p50 (forall (@list @t1 @t43 @t41 @t87 @t86) (=> (tptp.permut @t1 @t43 @t87) (=> (tptp.permut @t1 @t41 @t86) (tptp.permut @t1 @t44 (tptp.infix_plpl @t1 @t87 @t86)))))) % 45.94/46.20 (assume @p51 (forall @t51 (tptp.permut @t1 @t44 (tptp.infix_plpl @t1 @t41 @t43)))) % 45.94/46.20 (assume @p52 (forall @t59 (=> @t74 (=> @t58 @t57)))) % 45.94/46.20 (assume @p53 (forall @t51 (=> @t74 (= @t49 @t48)))) % 45.94/46.20 (assume @p54 (forall @t89 (tptp.le @t88 @t88))) % 45.94/46.20 (assume @p55 (forall (@list @t88 @t91 @t90) (=> @t92 (=> (tptp.le @t91 @t90) (tptp.le @t88 @t90))))) % 45.94/46.20 (assume @p56 (forall @t94 (or @t92 @t93))) % 45.94/46.20 (assume @p57 (forall (@list @t95) (tptp.sort (tptp.list tptp.elt1) (tptp.t2tb @t95)))) % 45.94/46.20 (assume @p58 (forall (@list @t96) (= (tptp.tb2t (tptp.t2tb @t96)) @t96))) % 45.94/46.20 (assume @p59 (forall @t98 (= (tptp.t2tb (tptp.tb2t @t97)) @t97))) % 45.94/46.20 (assume @p60 (tptp.sorted @t100)) % 45.94/46.20 (assume @p61 (forall @t89 (tptp.sort tptp.elt1 @t101))) % 45.94/46.20 (assume @p62 (forall (@list @t102) (= (tptp.tb2t1 (tptp.t2tb1 @t102)) @t102))) % 45.94/46.20 (assume @p63 (forall @t98 (=> (tptp.sort tptp.elt1 @t97) (= (tptp.t2tb1 (tptp.tb2t1 @t97)) @t97)))) % 45.94/46.20 (assume @p64 (forall @t89 (tptp.sorted @t103))) % 45.94/46.20 (assume @p65 (forall @t110 (=> @t92 (=> @t109 (tptp.sorted @t108))))) % 45.94/46.20 (assume @p66 (forall (@list @t111) (=> (tptp.sorted @t111) (or (= @t111 @t100) (exists @t89 (= @t111 @t103)) (exists @t110 (and @t92 @t109 (= @t111 @t108))))))) % 45.94/46.20 (assume @p67 (forall @t117 (= (and (forall @t116 @t115) @t113) (tptp.sorted (tptp.tb2t @t112))))) % 45.94/46.20 (assume @p68 (forall (@list @t120 @t118) (= (and (tptp.sorted @t120) (tptp.sorted @t118) (forall @t94 (=> (tptp.mem tptp.elt1 @t101 @t121) (=> (tptp.mem tptp.elt1 @t106 @t119) @t92)))) (tptp.sorted (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t121 @t119)))))) % 45.94/46.20 (assume @p69 (forall @t21 (tptp.sort @t18 (tptp.rev_append @t1 @t19 @t4)))) % 45.94/46.20 (assume @p70 (forall (@list @t1 @t122) (and (= (tptp.rev_append @t1 @t17 @t122) @t122) (forall (@list @t19 @t123) (= (tptp.rev_append @t1 (tptp.cons @t1 @t19 @t123) @t122) (tptp.rev_append @t1 @t123 (tptp.cons @t1 @t19 @t122))))))) % 45.94/46.20 (assume @p71 (forall @t125 (= (tptp.rev_append @t1 (tptp.infix_plpl @t1 @t123 @t124) @t122) (tptp.rev_append @t1 @t124 (tptp.rev_append @t1 @t123 @t122))))) % 45.94/46.20 (assume @p72 (forall @t125 (= (tptp.rev_append @t1 @t123 (tptp.infix_plpl @t1 @t124 @t122)) (tptp.rev_append @t1 (tptp.rev_append @t1 @t124 @t123) @t122)))) % 45.94/46.20 (assume @p73 (forall (@list @t1 @t124 @t122) (= (tptp.length @t1 (tptp.rev_append @t1 @t124 @t122)) (+ (tptp.length @t1 @t124) (tptp.length @t1 @t122))))) % 45.94/46.20 (assume @p74 (forall (@list @t1 @t123 @t124) (= (tptp.rev_append @t1 @t123 @t124) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t123) @t124)))) % 45.94/46.20 (assume @p75 (forall (@list @t126 @t128) (=> @t130 (=> (forall @t89 (=> @t129 (tptp.le @t88 @t128))) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.cons tptp.elt1 (tptp.t2tb1 @t128) @t127)))))))) % 45.94/46.20 (assume @p76 (forall (@list @t126 @t104) (=> @t130 (=> @t113 (=> (forall @t94 (=> @t129 @t115)) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.rev_append tptp.elt1 @t105 @t127))))))))) % 45.94/46.20 (assume @p77 (forall @t117 (=> @t131 (forall @t116 (=> @t114 @t93))))) % 45.94/46.20 (assume @p78 (forall @t117 (=> @t131 (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t105)))))) % 45.94/46.20 (assume @p79 (forall (@list @t1 @t13 @t4) (tptp.sort @t18 (tptp.prefix @t1 @t13 @t4)))) % 45.94/46.20 (assume @p80 @t133) % 45.94/46.20 (assume @p81 @t142) % 45.94/46.20 (assume @p82 (forall (@list @t1 @t134 @t34) (=> (and (<= 0 @t134) (<= @t134 @t35)) (= (tptp.length @t1 (tptp.prefix @t1 @t134 @t34)) @t134)))) % 45.94/46.20 (assume @p83 (forall (@list @t1 @t134 @t43 @t41) (=> (and (<= @t49 @t134) (<= @t134 @t50)) (= (tptp.prefix @t1 @t134 @t44) (tptp.infix_plpl @t1 (tptp.prefix @t1 @t49 @t43) (tptp.prefix @t1 (- @t134 @t49) @t41)))))) % 45.94/46.20 (assume @p84 (forall @t145 (and (=> @t144 (= @t143 @t13)) (=> (not @t144) (= @t143 (- @t13)))))) % 45.94/46.20 (assume @p85 (forall @t146 (= (<= @t143 @t12) (and (<= (- @t12) @t13) @t15)))) % 45.94/46.20 (assume @p86 (forall @t145 (<= 0 @t143))) % 45.94/46.20 (assume @p87 (forall @t146 (=> @t149 (= @t13 (+ (* @t12 @t148) @t147))))) % 45.94/46.20 (assume @p88 (forall @t146 (=> @t152 (and @t150 (<= @t148 @t13))))) % 45.94/46.20 (assume @p89 (forall @t146 (=> @t149 (and (< (- @t153) @t147) (< @t147 @t153))))) % 45.94/46.20 (assume @p90 (forall @t146 (=> @t152 @t150))) % 45.94/46.20 (assume @p91 (forall @t146 (=> (and @t154 @t151) (<= @t148 0)))) % 45.94/46.20 (assume @p92 (forall @t146 (=> (and @t144 @t149) (<= 0 @t147)))) % 45.94/46.20 (assume @p93 (forall @t146 (=> (and @t154 @t149) (<= @t147 0)))) % 45.94/46.20 (assume @p94 (forall @t146 (=> @t149 (<= (tptp.abs (* @t148 @t12)) @t143)))) % 45.94/46.20 (assume @p95 (forall @t145 (= (tptp.div @t13 1) @t13))) % 45.94/46.20 (assume @p96 (forall @t145 (= (tptp.mod @t13 1) 0))) % 45.94/46.20 (assume @p97 (forall @t146 (=> @t155 (= @t148 0)))) % 45.94/46.20 (assume @p98 (forall @t146 (=> @t155 (= @t147 @t13)))) % 45.94/46.20 (assume @p99 (forall @t16 (=> @t157 (= (tptp.div @t156 @t13) (+ @t12 (tptp.div @t11 @t13)))))) % 45.94/46.20 (assume @p100 (forall @t16 (=> @t157 (= (tptp.mod @t156 @t13) (tptp.mod @t11 @t13))))) % 45.94/46.20 (assume @p101 @t168) % 45.94/46.20 (assume @p102 true) % 45.94/46.20 (step @p103 :rule bool-impl-elim :args (@t74 @t83)) % 45.94/46.20 (step @p104 :rule cong :premises (@p103) :args (@t84)) % 45.94/46.20 (step @p105 :rule eq_resolve :premises (@p46 @p104)) % 45.94/46.20 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.elt1 @t171 @t175 @t170))) % 45.94/46.20 (step @p107 :rule bool-impl-elim :args (@t176 @t178)) % 45.94/46.20 (step @p108 :rule cong :premises (@p107) :args ((forall @t141 (=> @t176 @t178)))) % 45.94/46.20 (step @p109 :rule refl :args (@t34)) % 45.94/46.20 (step @p110 :rule arith_poly_norm :args ((= (+ @t134 -1) @t177))) % 45.94/46.20 (step @p111 :rule evaluate :args (@t179)) % 45.94/46.20 (step @p112 :rule refl :args (@t134)) % 45.94/46.20 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t180)) % 45.94/46.20 (step @p114 :rule trans :premises (@p113 @p110)) % 45.94/46.20 (step @p115 :rule arith_poly_norm :args ((= @t135 @t180))) % 45.94/46.20 (step @p116 :rule trans :premises (@p115 @p114)) % 45.94/46.20 (step @p117 :rule refl :args (@t1)) % 45.94/46.20 (step @p118 :rule cong :premises (@p117 @p116 @p109) :args (@t136)) % 45.94/46.20 (step @p119 :rule refl :args (@t19)) % 45.94/46.20 (step @p120 :rule cong :premises (@p117 @p119 @p118) :args (@t137)) % 45.94/46.20 (step @p121 :rule refl :args (@t138)) % 45.94/46.20 (step @p122 :rule cong :premises (@p121 @p120) :args (@t139)) % 45.94/46.20 (step @p123 :rule bool-double-not-elim :args (@t176)) % 45.94/46.20 (step @p124 :rule arith_poly_norm :args ((= (* -1 (- 1 @t181)) (* -1 (- 0 @t134))))) % 45.94/46.20 (step @p125 :rule arith_poly_norm_rel :premises (@p124) :args ((= (>= 1 @t181) @t182))) % 45.94/46.20 (step @p126 :rule arith-geq-tighten :args (@t134 1)) % 45.94/46.20 (step @p127 :rule trans :premises (@p126 @p125)) % 45.94/46.20 (step @p128 :rule symm :premises (@p127)) % 45.94/46.20 (step @p129 :rule cong :premises (@p128) :args ((not @t182))) % 45.94/46.20 (step @p130 :rule trans :premises (@p129 @p123)) % 45.94/46.20 (step @p131 :rule arith-elim-lt :args (0 @t134)) % 45.94/46.20 (step @p132 :rule trans :premises (@p131 @p130)) % 45.94/46.20 (step @p133 :rule cong :premises (@p132 @p122) :args (@t140)) % 45.94/46.20 (step @p134 :rule cong :premises (@p133) :args (@t142)) % 45.94/46.20 (step @p135 :rule trans :premises (@p134 @p108)) % 45.94/46.20 (step @p136 :rule eq_resolve :premises (@p81 @p135)) % 45.94/46.20 (step @p137 :rule instantiate :premises (@p136) :args ((@list tptp.elt1 @t173 @t171 @t170))) % 45.94/46.20 (step @p138 :rule eq-symm :args (@t34 @t17)) % 45.94/46.20 (step @p139 :rule refl :args (@t38)) % 45.94/46.20 (step @p140 :rule cong :premises (@p139 @p138) :args (@t39)) % 45.94/46.20 (step @p141 :rule cong :premises (@p140) :args (@t40)) % 45.94/46.20 (step @p142 :rule eq_resolve :premises (@p22 @p141)) % 45.94/46.20 (step @p143 :rule eq-symm :args (@t183 @t184)) % 45.94/46.20 (step @p144 :rule refl :args (@t185)) % 45.94/46.20 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t185 @t186))) % 45.94/46.20 (assume-push @p329 @t185) % 45.94/46.20 (step @p147 :rule instantiate :premises (@p142) :args (@t187)) % 45.94/46.20 (step-pop @p330 :rule scope :premises (@p147)) % 45.94/46.20 (step @p148 :rule process_scope :premises (@p330) :args (@t186)) % 45.94/46.20 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 45.94/46.20 (step @p151 :rule implies_elim :premises (@p150)) % 45.94/46.20 (step @p152 :rule chain_m_resolution :premises (@p151 @p142) :args (@t188 @t189 (@list @t185))) % 45.94/46.20 (step @p153 :rule instantiate :premises (@p14) :args (@t190)) % 45.94/46.20 (step @p154 :rule cnf_equiv_pos2 :args (@t188)) % 45.94/46.20 (step @p155 :rule reordering :premises (@p154) :args ((or @t184 @t191 (not @t188)))) % 45.94/46.20 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p152) :args (@t191 @t192 (@list @t184 @t188))) % 45.94/46.20 (step @p157 :rule arith-elim-leq :args (0 @t35)) % 45.94/46.20 (step @p158 :rule cong :premises (@p157) :args (@t37)) % 45.94/46.20 (step @p159 :rule eq_resolve :premises (@p21 @p158)) % 45.94/46.20 (step @p160 :rule instantiate :premises (@p159) :args (@t187)) % 45.94/46.20 (step @p161 :rule arith_trichotomy :premises (@p160 @p156)) % 45.94/46.20 (step @p162 :rule int_tight_lb :premises (@p161)) % 45.94/46.20 (step @p163 :rule cnf_or_pos :args (@t198)) % 45.94/46.20 (step @p164 :rule reordering :premises (@p163) :args ((or @t197 @t195 (not @t198)))) % 45.94/46.20 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p137) :args (@t195 @t199 (@list @t196 @t198))) % 45.94/46.20 (step @p166 :rule refl :args (@t203)) % 45.94/46.20 (step @p167 :rule quant-merge-prenex :args ((= (forall @t213 @t212) (forall (@list @t206 @t207 @t204 @t205) @t210)))) % 45.94/46.20 (step @p168 :rule alpha_equiv :args (@t214 (@list @t205) (@list @t19))) % 45.94/46.20 (step @p169 :rule refl :args (@t209)) % 45.94/46.20 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t215)) % 45.94/46.20 (step @p171 :rule quant-miniscope-or :args ((= @t212 @t215))) % 45.94/46.20 (step @p172 :rule trans :premises (@p171 @p170)) % 45.94/46.20 (step @p173 :rule symm :premises (@p172)) % 45.94/46.20 (step @p174 :rule cong :premises (@p173) :args (@t216)) % 45.94/46.20 (step @p175 :rule trans :premises (@p174 @p167)) % 45.94/46.20 (step @p176 :rule nary_cong :premises (@p175 @p166) :args ((and @t216 @t203))) % 45.94/46.20 (step @p177 :rule alpha_equiv :args (@t219 @t220 (@list @t202 @t201 @t200))) % 45.94/46.20 (step @p178 :rule alpha_equiv :args (@t222 @t220 (@list @t206 @t207 @t204))) % 45.94/46.20 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t223)) % 45.94/46.20 (step @p180 :rule quant-miniscope-and :args ((= (forall @t51 (and @t221 @t218)) @t223))) % 45.94/46.20 (step @p181 :rule trans :premises (@p180 @p179)) % 45.94/46.20 (step @p182 :rule trans :premises (@p181 @p176)) % 45.94/46.20 (step @p183 :rule bool-impl-elim :args (@t217 @t74)) % 45.94/46.20 (step @p184 :rule bool-impl-elim :args (@t74 @t79)) % 45.94/46.20 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t224)) % 45.94/46.20 (step @p186 :rule cong :premises (@p185) :args ((forall @t51 @t224))) % 45.94/46.20 (step @p187 :rule trans :premises (@p186 @p182)) % 45.94/46.20 (step @p188 :rule refl :args (@t74)) % 45.94/46.20 (step @p189 :rule bool-impl-elim :args (@t56 @t75)) % 45.94/46.20 (step @p190 :rule cong :premises (@p189) :args (@t77)) % 45.94/46.20 (step @p191 :rule cong :premises (@p190 @p188) :args (@t78)) % 45.94/46.20 (step @p192 :rule refl :args (@t80)) % 45.94/46.20 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t81)) % 45.94/46.20 (step @p194 :rule cong :premises (@p193) :args (@t82)) % 45.94/46.20 (step @p195 :rule trans :premises (@p194 @p187)) % 45.94/46.20 (step @p196 :rule eq_resolve :premises (@p42 @p195)) % 45.94/46.20 (step @p197 :rule and_elim :premises (@p196) :args (1)) % 45.94/46.20 (step @p198 :rule instantiate :premises (@p197) :args ((@list tptp.elt1 @t165 @t99))) % 45.94/46.20 (step @p199 :rule eq-symm :args (@t132 @t17)) % 45.94/46.20 (step @p200 :rule cong :premises (@p199) :args (@t133)) % 45.94/46.20 (step @p201 :rule eq_resolve :premises (@p80 @p200)) % 45.94/46.20 (step @p202 :rule instantiate :premises (@p201) :args ((@list tptp.elt1 @t99))) % 45.94/46.20 (step @p203 :rule symm :premises (@p202)) % 45.94/46.20 (step @p204 :rule refl :args (@t99)) % 45.94/46.20 (step @p205 :rule quant-merge-prenex :args ((= @t228 @t227))) % 45.94/46.20 (step @p206 :rule refl :args (@t230)) % 45.94/46.20 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((and @t230 @t228))) % 45.94/46.20 (step @p208 :rule alpha_equiv :args (@t231 @t232 (@list @t225))) % 45.94/46.20 (step @p209 :rule alpha_equiv :args (@t233 @t232 (@list @t229))) % 45.94/46.20 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t234)) % 45.94/46.20 (step @p211 :rule quant-miniscope-and :args ((= @t33 @t234))) % 45.94/46.20 (step @p212 :rule trans :premises (@p211 @p210)) % 45.94/46.20 (step @p213 :rule trans :premises (@p212 @p207)) % 45.94/46.20 (step @p214 :rule eq_resolve :premises (@p20 @p213)) % 45.94/46.20 (step @p215 :rule and_elim :premises (@p214) :args (0)) % 45.94/46.20 (step @p216 :rule instantiate :premises (@p215) :args ((@list tptp.elt1))) % 45.94/46.20 (step @p217 :rule refl :args (tptp.elt1)) % 45.94/46.20 (step @p218 :rule cong :premises (@p217 @p216 @p204) :args (@t165)) % 45.94/46.20 (step @p219 :rule trans :premises (@p218 @p203)) % 45.94/46.20 (step @p220 :rule refl :args (@t236)) % 45.94/46.20 (step @p221 :rule cong :premises (@p217 @p220 @p219) :args (@t237)) % 45.94/46.20 (step @p222 :rule cnf_or_neg :args (@t239 1)) % 45.94/46.20 (step @p223 :rule chain_m_resolution :premises (@p222 @p221) :args (@t239 @t189 (@list @t238))) % 45.94/46.20 (step @p224 :rule refl :args (@t240)) % 45.94/46.20 (step @p225 :rule bool-double-not-elim :args (@t235)) % 45.94/46.20 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or (not @t241) @t240))) % 45.94/46.20 (assume-push @p331 @t241) % 45.94/46.20 (step @p228 :rule skolemize :premises (@p331)) % 45.94/46.20 (step-pop @p332 :rule scope :premises (@p228)) % 45.94/46.20 (step @p229 :rule process_scope :premises (@p332) :args (@t240)) % 45.94/46.20 (step @p231 :rule implies_elim :premises (@p229)) % 45.94/46.20 (step @p232 :rule eq_resolve :premises (@p231 @p226)) % 45.94/46.20 (step @p233 :rule chain_m_resolution :premises (@p232 @p223) :args (@t235 @t189 (@list @t239))) % 45.94/46.20 (step @p234 :rule cnf_or_pos :args (@t242)) % 45.94/46.20 (step @p235 :rule reordering :premises (@p234) :args ((or @t166 @t241 (not @t242)))) % 45.94/46.20 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p198) :args (@t166 @t199 (@list @t235 @t242))) % 45.94/46.20 (step @p237 :rule bool-impl-elim :args (@t162 @t161)) % 45.94/46.20 (step @p238 :rule cong :premises (@p237) :args (@t164)) % 45.94/46.20 (step @p239 :rule refl :args (@t166)) % 45.94/46.20 (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t167)) % 45.94/46.20 (step @p241 :rule cong :premises (@p240) :args (@t168)) % 45.94/46.20 (step @p242 :rule eq_resolve :premises (@p101 @p241)) % 45.94/46.20 (step @p243 :rule not_and :premises (@p242)) % 45.94/46.20 (step @p244 :rule chain_m_resolution :premises (@p243 @p236) :args (@t243 @t189 (@list @t166))) % 45.94/46.20 (step @p245 :rule refl :args (@t249)) % 45.94/46.20 (step @p246 :rule bool-double-not-elim :args (@t169)) % 45.94/46.20 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or (not @t243) @t249))) % 45.94/46.20 (assume-push @p333 @t243) % 45.94/46.20 (step @p249 :rule skolemize :premises (@p333)) % 45.94/46.20 (step-pop @p334 :rule scope :premises (@p249)) % 45.94/46.20 (step @p250 :rule process_scope :premises (@p334) :args (@t249)) % 45.94/46.20 (step @p252 :rule implies_elim :premises (@p250)) % 45.94/46.20 (step @p253 :rule eq_resolve :premises (@p252 @p247)) % 45.94/46.20 (step @p254 :rule chain_m_resolution :premises (@p253 @p244) :args (@t249 @t250 (@list @t169))) % 45.94/46.20 (step @p255 :rule cnf_or_neg :args (@t248 1)) % 45.94/46.20 (step @p256 :rule chain_m_resolution :premises (@p255 @p254) :args (@t251 @t250 @t252)) % 45.94/46.20 (step @p257 :rule refl :args (@t254)) % 45.94/46.20 (step @p258 :rule refl :args (@t255)) % 45.94/46.20 (step @p259 :rule bool-double-not-elim :args (@t244)) % 45.94/46.20 (step @p260 :rule nary_cong :premises (@p259 @p258 @p257) :args ((or (not @t251) @t255 @t254))) % 45.94/46.20 (assume-push @p335 @t251) % 45.94/46.20 (assume-push @p336 @t195) % 45.94/46.20 (assume-push @p337 @t251) % 45.94/46.20 (assume-push @p338 @t195) % 45.94/46.20 (step @p265 :rule false_intro :premises (@p335)) % 45.94/46.20 (step @p266 :rule refl :args (@t172)) % 45.94/46.20 (step @p267 :rule symm :premises (@p165)) % 45.94/46.20 (step @p268 :rule cong :premises (@p217 @p267 @p266) :args (@t253)) % 45.94/46.20 (step @p269 :rule trans :premises (@p268 @p265)) % 45.94/46.20 (step @p270 :rule false_elim :premises (@p269)) % 45.94/46.20 (step-pop @p339 :rule scope :premises (@p270)) % 45.94/46.20 (step-pop @p340 :rule scope :premises (@p339)) % 45.94/46.20 (step @p271 :rule process_scope :premises (@p340) :args (@t254)) % 45.94/46.20 (step @p274 :rule and_intro :premises (@p335 @p165)) % 45.94/46.20 (step @p275 :rule modus_ponens :premises (@p274 @p271)) % 45.94/46.20 (step-pop @p341 :rule scope :premises (@p275)) % 45.94/46.20 (step-pop @p342 :rule scope :premises (@p341)) % 45.94/46.20 (step @p276 :rule process_scope :premises (@p342) :args (@t254)) % 45.94/46.20 (step @p279 :rule implies_elim :premises (@p276)) % 45.94/46.20 (step @p280 :rule cnf_and_neg :args (@t256)) % 45.94/46.20 (step @p281 :rule resolution :premises (@p280 @p279) :args (true @t256)) % 45.94/46.20 (step @p282 :rule eq_resolve :premises (@p281 @p260)) % 45.94/46.20 (step @p283 :rule chain_m_resolution :premises (@p282 @p256 @p165) :args (@t254 @t192 (@list @t244 @t195))) % 45.94/46.21 (step @p284 :rule and_elim :premises (@p214) :args (1)) % 45.94/46.21 (step @p285 :rule arith_poly_norm :args ((= (* 1 (- @t173 @t257)) (* -1 (- @t245 @t174))))) % 45.94/46.21 (step @p286 :rule arith_poly_norm_rel :premises (@p285) :args ((= @t259 @t258))) % 45.94/46.21 (step @p287 :rule refl :args (@t227)) % 45.94/46.21 (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t227 @t259))) % 45.94/46.21 (assume-push @p343 @t227) % 45.94/46.21 (step @p290 :rule instantiate :premises (@p284) :args (@t190)) % 45.94/46.21 (step-pop @p344 :rule scope :premises (@p290)) % 45.94/46.21 (step @p291 :rule process_scope :premises (@p344) :args (@t259)) % 45.94/46.21 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 45.94/46.21 (step @p294 :rule implies_elim :premises (@p293)) % 45.94/46.21 (step @p295 :rule chain_m_resolution :premises (@p294 @p284) :args (@t258 @t189 (@list @t227))) % 45.94/46.21 (step @p296 :rule bool-double-not-elim :args (@t246)) % 45.94/46.21 (step @p297 :rule refl :args (@t248)) % 45.94/46.21 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or @t248 (not @t247)))) % 45.94/46.21 (step @p299 :rule cnf_or_neg :args (@t248 0)) % 45.94/46.21 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 45.94/46.21 (step @p301 :rule reordering :premises (@p300) :args ((or @t246 @t248))) % 45.94/46.21 (step @p302 :rule chain_m_resolution :premises (@p301 @p254) :args (@t246 @t250 @t252)) % 45.94/46.21 (assume-push @p345 @t246) % 45.94/46.21 (assume-push @p346 @t258) % 45.94/46.21 (assume-push @p347 @t246) % 45.94/46.21 (assume-push @p348 @t258) % 45.94/46.21 (step @p307 :rule true_intro :premises (@p345)) % 45.94/46.21 (step @p308 :rule refl :args (@t170)) % 45.94/46.21 (step @p309 :rule symm :premises (@p295)) % 45.94/46.21 (step @p310 :rule cong :premises (@p217 @p309 @p308) :args (@t175)) % 45.94/46.21 (step @p311 :rule cong :premises (@p217 @p310 @p308) :args (@t260)) % 45.94/46.21 (step @p312 :rule trans :premises (@p311 @p307)) % 45.94/46.21 (step @p313 :rule true_elim :premises (@p312)) % 45.94/46.21 (step-pop @p349 :rule scope :premises (@p313)) % 45.94/46.21 (step-pop @p350 :rule scope :premises (@p349)) % 45.94/46.21 (step @p314 :rule process_scope :premises (@p350) :args (@t260)) % 45.94/46.21 (step @p317 :rule and_intro :premises (@p345 @p295)) % 45.94/46.21 (step @p318 :rule modus_ponens :premises (@p317 @p314)) % 45.94/46.21 (step-pop @p351 :rule scope :premises (@p318)) % 45.94/46.21 (step-pop @p352 :rule scope :premises (@p351)) % 45.94/46.21 (step @p319 :rule process_scope :premises (@p352) :args (@t260)) % 45.94/46.21 (step @p322 :rule implies_elim :premises (@p319)) % 45.94/46.21 (step @p323 :rule cnf_and_neg :args (@t261)) % 45.94/46.21 (step @p324 :rule resolution :premises (@p323 @p322) :args (true @t261)) % 45.94/46.21 (step @p325 :rule chain_m_resolution :premises (@p324 @p302 @p295) :args (@t260 @t199 (@list @t246 @t258))) % 45.94/46.21 (step @p326 :rule cnf_or_pos :args (@t263)) % 45.94/46.21 (step @p327 :rule reordering :premises (@p326) :args ((or @t262 @t253 (not @t263)))) % 45.94/46.21 (step @p328 false :rule chain_m_resolution :premises (@p327 @p325 @p283 @p106) :args (false (@list false true false) (@list @t260 @t253 @t263))) % 45.94/46.21 ) % 45.94/46.21 % SZS output end Proof % 45.94/46.21 % cvc5 exiting %------------------------------------------------------------------------------