%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW634_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:05:23 AM UTC 2026 % Result : Theorem 45.85s 46.25s % Output : Proof 45.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWW634_2 : TPTP v9.2.1. Released v6.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.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 22:21:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_ARI % 45.85/46.25 --- Run --finite-model-find --decision=internal at 45... % 45.85/46.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.85/46.25 % SZS status Theorem % 45.85/46.25 % SZS output start Proof % 45.85/46.25 ( % 45.85/46.25 (declare-sort tptp.map_int_lpmap_int_intrp 0) % 45.85/46.25 (declare-sort tptp.set_int 0) % 45.85/46.25 (declare-sort tptp.tuple02 0) % 45.85/46.25 (declare-sort tptp.map_int_int 0) % 45.85/46.25 (declare-sort tptp.bool1 0) % 45.85/46.25 (declare-sort tptp.ty 0) % 45.85/46.25 (declare-sort tptp.uni 0) % 45.85/46.25 (declare-const tptp.tb2t3 (-> tptp.uni tptp.map_int_lpmap_int_intrp)) % 45.85/46.25 (declare-const tptp.t2tb3 (-> tptp.map_int_lpmap_int_intrp tptp.uni)) % 45.85/46.25 (declare-const tptp.partial_solution1 (-> Int tptp.map_int_int Bool)) % 45.85/46.25 (declare-const tptp.n1 Int) % 45.85/46.25 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 45.85/46.25 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.t2tb2 (-> tptp.map_int_int tptp.uni)) % 45.85/46.25 (declare-const tptp.empty (-> tptp.ty tptp.uni)) % 45.85/46.25 (declare-const tptp.eq_prefix1 (-> tptp.ty tptp.uni tptp.uni Int Bool)) % 45.85/46.25 (declare-const tptp.subset (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.85/46.25 (declare-const tptp.set (-> tptp.ty tptp.ty)) % 45.85/46.25 (declare-const tptp.infix_eqeq (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.85/46.25 (declare-const tptp.lt_sol1 (-> tptp.map_int_int tptp.map_int_int Bool)) % 45.85/46.25 (declare-const tptp.pred1 (-> tptp.set_int tptp.set_int)) % 45.85/46.25 (declare-const tptp.false1 tptp.bool1) % 45.85/46.25 (declare-const tptp.true1 tptp.bool1) % 45.85/46.25 (declare-const tptp.is_empty (-> tptp.ty tptp.uni Bool)) % 45.85/46.25 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 45.85/46.25 (declare-const tptp.cardinal1 (-> tptp.ty tptp.uni Int)) % 45.85/46.25 (declare-const tptp.tuple03 tptp.tuple02) % 45.85/46.25 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 45.85/46.25 (declare-const tptp.tb2t2 (-> tptp.uni tptp.map_int_int)) % 45.85/46.25 (declare-const tptp.union (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.85/46.25 (declare-const tptp.int tptp.ty) % 45.85/46.25 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 45.85/46.25 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.inter (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.t2tb1 (-> Int tptp.uni)) % 45.85/46.25 (declare-const tptp.sorted1 (-> tptp.map_int_lpmap_int_intrp Int Int Bool)) % 45.85/46.25 (declare-const tptp.diff (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.succ1 (-> tptp.set_int tptp.set_int)) % 45.85/46.25 (declare-const tptp.remove (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.choose (-> tptp.ty tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.t2tb (-> tptp.set_int tptp.uni)) % 45.85/46.25 (declare-const tptp.set1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.tb2t1 (-> tptp.uni Int)) % 45.85/46.25 (declare-const tptp.add (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.25 (declare-const tptp.min_elt1 (-> tptp.set_int Int)) % 45.85/46.25 (declare-const tptp.max_elt1 (-> tptp.set_int Int)) % 45.85/46.25 (declare-const tptp.tb2t (-> tptp.uni tptp.set_int)) % 45.85/46.25 (declare-const tptp.below1 (-> Int tptp.set_int)) % 45.85/46.25 (define @t1 () (@var "A" tptp.ty)) % 45.85/46.25 (define @t2 () (@list @t1)) % 45.85/46.25 (define @t3 () (@var "X2" tptp.uni)) % 45.85/46.25 (define @t4 () (@var "X1" tptp.uni)) % 45.85/46.25 (define @t5 () (@var "X" tptp.bool1)) % 45.85/46.25 (define @t6 () (@var "Z" tptp.uni)) % 45.85/46.25 (define @t7 () (@var "Z1" tptp.uni)) % 45.85/46.25 (define @t8 () (@list @t1 @t6 @t7)) % 45.85/46.25 (define @t9 () (@var "U" tptp.bool1)) % 45.85/46.25 (define @t10 () (@var "U" tptp.tuple02)) % 45.85/46.25 (define @t11 () (@var "Z" Int)) % 45.85/46.25 (define @t12 () (@var "Y" Int)) % 45.85/46.25 (define @t13 () (@var "X" Int)) % 45.85/46.25 (define @t14 () (@var "S2" tptp.uni)) % 45.85/46.25 (define @t15 () (@var "S1" tptp.uni)) % 45.85/46.25 (define @t16 () (tptp.infix_eqeq @t1 @t15 @t14)) % 45.85/46.25 (define @t17 () (@var "X" tptp.uni)) % 45.85/46.25 (define @t18 () (tptp.mem @t1 @t17 @t14)) % 45.85/46.25 (define @t19 () (tptp.mem @t1 @t17 @t15)) % 45.85/46.25 (define @t20 () (= @t19 @t18)) % 45.85/46.25 (define @t21 () (tptp.sort1 @t1 @t17)) % 45.85/46.25 (define @t22 () (@list @t17)) % 45.85/46.25 (define @t23 () (@list @t1 @t15 @t14)) % 45.85/46.25 (define @t24 () (tptp.set @t1)) % 45.85/46.25 (define @t25 () (tptp.subset @t1 @t15 @t14)) % 45.85/46.25 (define @t26 () (=> @t19 @t18)) % 45.85/46.25 (define @t27 () (@var "S" tptp.uni)) % 45.85/46.25 (define @t28 () (@list @t1 @t27)) % 45.85/46.25 (define @t29 () (@var "S3" tptp.uni)) % 45.85/46.25 (define @t30 () (tptp.empty @t1)) % 45.85/46.25 (define @t31 () (tptp.is_empty @t1 @t27)) % 45.85/46.25 (define @t32 () (tptp.mem @t1 @t17 @t27)) % 45.85/46.25 (define @t33 () (not @t32)) % 45.85/46.25 (define @t34 () (@list @t1 @t17)) % 45.85/46.25 (define @t35 () (@list @t1 @t17 @t4)) % 45.85/46.25 (define @t36 () (@var "Y" tptp.uni)) % 45.85/46.25 (define @t37 () (= @t17 @t36)) % 45.85/46.25 (define @t38 () (tptp.sort1 @t1 @t36)) % 45.85/46.25 (define @t39 () (tptp.remove @t1 @t17 @t27)) % 45.85/46.25 (define @t40 () (@list @t1 @t17 @t27)) % 45.85/46.25 (define @t41 () (tptp.add @t1 @t17 @t27)) % 45.85/46.25 (define @t42 () (@list @t1 @t15 @t14 @t17)) % 45.85/46.25 (define @t43 () (tptp.diff @t1 @t15 @t14)) % 45.85/46.25 (define @t44 () (tptp.choose @t1 @t27)) % 45.85/46.25 (define @t45 () (tptp.cardinal1 @t1 @t27)) % 45.85/46.25 (define @t46 () (@var "X" tptp.set_int)) % 45.85/46.25 (define @t47 () (@var "I" tptp.set_int)) % 45.85/46.25 (define @t48 () (@var "J" tptp.uni)) % 45.85/46.25 (define @t49 () (@list @t48)) % 45.85/46.25 (define @t50 () (tptp.t2tb1 @t13)) % 45.85/46.25 (define @t51 () (@list @t13)) % 45.85/46.25 (define @t52 () (@var "I" Int)) % 45.85/46.25 (define @t53 () (tptp.t2tb1 @t52)) % 45.85/46.25 (define @t54 () (@list @t52)) % 45.85/46.25 (define @t55 () (@var "S" tptp.set_int)) % 45.85/46.25 (define @t56 () (tptp.t2tb @t55)) % 45.85/46.25 (define @t57 () (tptp.min_elt1 @t55)) % 45.85/46.25 (define @t58 () (not (tptp.is_empty tptp.int @t56))) % 45.85/46.25 (define @t59 () (@list @t55)) % 45.85/46.25 (define @t60 () (tptp.mem tptp.int @t50 @t56)) % 45.85/46.25 (define @t61 () (tptp.max_elt1 @t55)) % 45.85/46.25 (define @t62 () (@var "N" Int)) % 45.85/46.25 (define @t63 () (tptp.t2tb (tptp.below1 @t62))) % 45.85/46.25 (define @t64 () (tptp.cardinal1 tptp.int @t63)) % 45.85/46.25 (define @t65 () (<= 0 @t62)) % 45.85/46.25 (define @t66 () (@list @t55 @t52)) % 45.85/46.25 (define @t67 () (<= 0 @t52)) % 45.85/46.25 (define @t68 () (tptp.ref @t1)) % 45.85/46.25 (define @t69 () (@var "U" tptp.uni)) % 45.85/46.25 (define @t70 () (@list @t1 @t69)) % 45.85/46.25 (define @t71 () (@var "B" tptp.ty)) % 45.85/46.25 (define @t72 () (tptp.map @t1 @t71)) % 45.85/46.25 (define @t73 () (@var "B1" tptp.uni)) % 45.85/46.25 (define @t74 () (@var "A2" tptp.uni)) % 45.85/46.25 (define @t75 () (@var "A1" tptp.uni)) % 45.85/46.25 (define @t76 () (@var "M" tptp.uni)) % 45.85/46.25 (define @t77 () (tptp.get @t71 @t1 (tptp.set1 @t71 @t1 @t76 @t75 @t73) @t74)) % 45.85/46.25 (define @t78 () (= @t75 @t74)) % 45.85/46.25 (define @t79 () (tptp.sort1 @t71 @t73)) % 45.85/46.25 (define @t80 () (@var "K" Int)) % 45.85/46.25 (define @t81 () (tptp.t2tb1 @t80)) % 45.85/46.25 (define @t82 () (@var "T" tptp.uni)) % 45.85/46.25 (define @t83 () (= (tptp.get @t1 tptp.int @t82 @t81) (tptp.get @t1 tptp.int @t69 @t81))) % 45.85/46.25 (define @t84 () (<= 0 @t80)) % 45.85/46.25 (define @t85 () (and @t84 (< @t80 @t52))) % 45.85/46.25 (define @t86 () (=> @t85 @t83)) % 45.85/46.25 (define @t87 () (@list @t80)) % 45.85/46.25 (define @t88 () (forall @t87 @t86)) % 45.85/46.25 (define @t89 () (tptp.eq_prefix1 @t1 @t82 @t69 @t52)) % 45.85/46.25 (define @t90 () (= @t89 @t88)) % 45.85/46.25 (define @t91 () (@list @t1 @t82 @t69 @t52)) % 45.85/46.25 (define @t92 () (forall @t91 @t90)) % 45.85/46.25 (define @t93 () (@var "X" tptp.map_int_int)) % 45.85/46.25 (define @t94 () (tptp.map tptp.int tptp.int)) % 45.85/46.25 (define @t95 () (@var "I" tptp.map_int_int)) % 45.85/46.25 (define @t96 () (@var "J" Int)) % 45.85/46.25 (define @t97 () (tptp.t2tb1 @t96)) % 45.85/46.25 (define @t98 () (@var "S" tptp.map_int_int)) % 45.85/46.25 (define @t99 () (tptp.t2tb2 @t98)) % 45.85/46.25 (define @t100 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t99 @t97))) % 45.85/46.25 (define @t101 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t99 @t53))) % 45.85/46.25 (define @t102 () (- @t101 @t100)) % 45.85/46.25 (define @t103 () (<= 0 @t96)) % 45.85/46.25 (define @t104 () (@list @t96)) % 45.85/46.25 (define @t105 () (@var "U" tptp.map_int_int)) % 45.85/46.25 (define @t106 () (@var "T" tptp.map_int_int)) % 45.85/46.25 (define @t107 () (tptp.t2tb2 @t106)) % 45.85/46.25 (define @t108 () (@var "S2" tptp.map_int_int)) % 45.85/46.25 (define @t109 () (tptp.t2tb2 @t108)) % 45.85/46.25 (define @t110 () (@var "S1" tptp.map_int_int)) % 45.85/46.25 (define @t111 () (tptp.t2tb2 @t110)) % 45.85/46.25 (define @t112 () (< @t52 tptp.n1)) % 45.85/46.25 (define @t113 () (@var "X" tptp.map_int_lpmap_int_intrp)) % 45.85/46.25 (define @t114 () (@var "I" tptp.map_int_lpmap_int_intrp)) % 45.85/46.25 (define @t115 () (@var "S" tptp.map_int_lpmap_int_intrp)) % 45.85/46.25 (define @t116 () (tptp.t2tb3 @t115)) % 45.85/46.25 (define @t117 () (tptp.get @t94 tptp.int @t116 @t97)) % 45.85/46.25 (define @t118 () (tptp.get @t94 tptp.int @t116 @t53)) % 45.85/46.25 (define @t119 () (@var "B" Int)) % 45.85/46.25 (define @t120 () (@var "A" Int)) % 45.85/46.25 (define @t121 () (and (<= @t120 @t52) (< @t52 @t96) (< @t96 @t119))) % 45.85/46.25 (define @t122 () (@list @t52 @t96)) % 45.85/46.25 (define @t123 () (tptp.sorted1 @t115 @t120 @t119)) % 45.85/46.25 (define @t124 () (@list @t115 @t120 @t119)) % 45.85/46.25 (define @t125 () (@var "Sol1" tptp.map_int_lpmap_int_intrp)) % 45.85/46.25 (define @t126 () (tptp.t2tb3 @t125)) % 45.85/46.25 (define @t127 () (tptp.get @t94 tptp.int @t126 @t53)) % 45.85/46.25 (define @t128 () (tptp.eq_prefix1 tptp.int @t107 @t127 tptp.n1)) % 45.85/46.25 (define @t129 () (@var "S" Int)) % 45.85/46.25 (define @t130 () (@var "S1" Int)) % 45.85/46.25 (define @t131 () (- @t130 @t129)) % 45.85/46.25 (define @t132 () (and @t67 (< @t52 @t131) @t128)) % 45.85/46.25 (define @t133 () (exists @t54 @t132)) % 45.85/46.25 (define @t134 () (tptp.partial_solution1 tptp.n1 @t106)) % 45.85/46.25 (define @t135 () (= @t134 @t133)) % 45.85/46.25 (define @t136 () (@list @t106)) % 45.85/46.25 (define @t137 () (forall @t136 @t135)) % 45.85/46.25 (define @t138 () (tptp.sorted1 @t125 0 @t130)) % 45.85/46.25 (define @t139 () (= @t131 @t130)) % 45.85/46.25 (define @t140 () (and @t139 @t138 @t137)) % 45.85/46.25 (define @t141 () (@var "Sol" tptp.map_int_lpmap_int_intrp)) % 45.85/46.25 (define @t142 () (tptp.t2tb3 @t141)) % 45.85/46.25 (define @t143 () (tptp.eq_prefix1 @t94 @t142 @t126 @t129)) % 45.85/46.25 (define @t144 () (@var "K1" Int)) % 45.85/46.25 (define @t145 () (@var "Col1" tptp.map_int_int)) % 45.85/46.25 (define @t146 () (tptp.t2tb2 @t145)) % 45.85/46.25 (define @t147 () (@var "Col" tptp.map_int_int)) % 45.85/46.25 (define @t148 () (tptp.t2tb2 @t147)) % 45.85/46.25 (define @t149 () (tptp.eq_prefix1 tptp.int @t148 @t146 @t144)) % 45.85/46.25 (define @t150 () (and (<= @t129 @t52) (< @t52 @t130) @t128)) % 45.85/46.25 (define @t151 () (exists @t54 @t150)) % 45.85/46.25 (define @t152 () (and @t134 (tptp.eq_prefix1 tptp.int @t146 @t107 @t144))) % 45.85/46.25 (define @t153 () (= @t152 @t151)) % 45.85/46.25 (define @t154 () (forall @t136 @t153)) % 45.85/46.25 (define @t155 () (tptp.sorted1 @t125 @t129 @t130)) % 45.85/46.25 (define @t156 () (= @t144 @t80)) % 45.85/46.25 (define @t157 () (<= 0 @t131)) % 45.85/46.25 (define @t158 () (and @t157 @t156 @t155 @t154 @t149 @t143)) % 45.85/46.25 (define @t159 () (=> @t158 @t140)) % 45.85/46.25 (define @t160 () (@list @t130 @t125 @t144 @t145)) % 45.85/46.25 (define @t161 () (forall @t160 @t159)) % 45.85/46.25 (define @t162 () (tptp.partial_solution1 @t80 @t147)) % 45.85/46.25 (define @t163 () (+ @t52 @t80)) % 45.85/46.25 (define @t164 () (- @t163 @t96)) % 45.85/46.25 (define @t165 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t148 @t97))) % 45.85/46.25 (define @t166 () (= @t165 @t164)) % 45.85/46.25 (define @t167 () (not @t166)) % 45.85/46.25 (define @t168 () (and @t103 (< @t96 @t80))) % 45.85/46.25 (define @t169 () (=> @t168 @t167)) % 45.85/46.25 (define @t170 () (forall @t104 @t169)) % 45.85/46.25 (define @t171 () (not (tptp.mem tptp.int @t53 (tptp.empty tptp.int)))) % 45.85/46.25 (define @t172 () (= @t171 @t170)) % 45.85/46.25 (define @t173 () (=> @t67 @t172)) % 45.85/46.25 (define @t174 () (forall @t54 @t173)) % 45.85/46.25 (define @t175 () (+ @t52 @t96)) % 45.85/46.25 (define @t176 () (- @t175 @t80)) % 45.85/46.25 (define @t177 () (= @t165 @t176)) % 45.85/46.25 (define @t178 () (not @t177)) % 45.85/46.25 (define @t179 () (=> @t168 @t178)) % 45.85/46.25 (define @t180 () (forall @t104 @t179)) % 45.85/46.25 (define @t181 () (= @t171 @t180)) % 45.85/46.25 (define @t182 () (=> @t67 @t181)) % 45.85/46.25 (define @t183 () (forall @t54 @t182)) % 45.85/46.25 (define @t184 () (= @t165 @t52)) % 45.85/46.25 (define @t185 () (not @t184)) % 45.85/46.25 (define @t186 () (=> @t168 @t185)) % 45.85/46.25 (define @t187 () (forall @t104 @t186)) % 45.85/46.25 (define @t188 () (and @t67 @t112 @t187)) % 45.85/46.25 (define @t189 () (@var "Q" Int)) % 45.85/46.25 (define @t190 () (tptp.t2tb (tptp.below1 @t189))) % 45.85/46.25 (define @t191 () (tptp.mem tptp.int @t53 @t190)) % 45.85/46.25 (define @t192 () (= @t191 @t188)) % 45.85/46.25 (define @t193 () (forall @t54 @t192)) % 45.85/46.25 (define @t194 () (+ @t80 (tptp.cardinal1 tptp.int @t190))) % 45.85/46.25 (define @t195 () (= @t194 tptp.n1)) % 45.85/46.25 (define @t196 () (and @t84 @t195 (<= 0 @t129) @t193 @t183 @t174 @t162)) % 45.85/46.25 (define @t197 () (=> @t196 @t161)) % 45.85/46.25 (define @t198 () (= @t80 0)) % 45.85/46.25 (define @t199 () (= @t129 0)) % 45.85/46.25 (define @t200 () (= @t189 tptp.n1)) % 45.85/46.25 (define @t201 () (and (<= 0 @t189) @t200 @t199 @t198)) % 45.85/46.25 (define @t202 () (=> @t201 @t197)) % 45.85/46.25 (define @t203 () (@list @t189 @t129 @t141 @t80 @t147)) % 45.85/46.25 (define @t204 () (forall @t203 @t202)) % 45.85/46.25 (define @t205 () (not @t204)) % 45.85/46.25 (define @t206 () (* -1 @t80)) % 45.85/46.25 (define @t207 () (+ @t52 @t206)) % 45.85/46.25 (define @t208 () (>= @t207 1)) % 45.85/46.25 (define @t209 () (not @t208)) % 45.85/46.25 (define @t210 () (>= @t80 0)) % 45.85/46.25 (define @t211 () (not @t210)) % 45.85/46.25 (define @t212 () (or @t211 @t209 @t83)) % 45.85/46.25 (define @t213 () (and @t210 @t208)) % 45.85/46.25 (define @t214 () (+ @t207 1)) % 45.85/46.25 (define @t215 () (>= @t80 @t52)) % 45.85/46.25 (define @t216 () (@var "BOUND_VARIABLE_9017" tptp.map_int_lpmap_int_intrp)) % 45.85/46.25 (define @t217 () (tptp.t2tb3 @t216)) % 45.85/46.25 (define @t218 () (tptp.get @t94 tptp.int @t217 @t53)) % 45.85/46.25 (define @t219 () (@var "BOUND_VARIABLE_9021" tptp.map_int_int)) % 45.85/46.25 (define @t220 () (not (tptp.eq_prefix1 tptp.int (tptp.t2tb2 @t219) @t218 tptp.n1))) % 45.85/46.25 (define @t221 () (@var "BOUND_VARIABLE_9015" Int)) % 45.85/46.25 (define @t222 () (* -1 @t221)) % 45.85/46.25 (define @t223 () (+ @t52 @t222)) % 45.85/46.25 (define @t224 () (>= @t223 0)) % 45.85/46.25 (define @t225 () (>= @t52 0)) % 45.85/46.25 (define @t226 () (not @t225)) % 45.85/46.25 (define @t227 () (tptp.partial_solution1 tptp.n1 @t219)) % 45.85/46.25 (define @t228 () (= @t227 (not (forall @t54 (or @t226 @t224 @t220))))) % 45.85/46.25 (define @t229 () (tptp.sorted1 @t216 0 @t221)) % 45.85/46.25 (define @t230 () (and @t229 @t228)) % 45.85/46.25 (define @t231 () (not (tptp.eq_prefix1 @t94 @t142 @t217 0))) % 45.85/46.25 (define @t232 () (@var "BOUND_VARIABLE_9019" tptp.map_int_int)) % 45.85/46.25 (define @t233 () (tptp.t2tb2 @t232)) % 45.85/46.25 (define @t234 () (not (tptp.eq_prefix1 tptp.int @t148 @t233 0))) % 45.85/46.25 (define @t235 () (and @t134 (tptp.eq_prefix1 tptp.int @t233 @t107 0))) % 45.85/46.25 (define @t236 () (not (tptp.eq_prefix1 tptp.int @t107 @t218 tptp.n1))) % 45.85/46.25 (define @t237 () (not (forall @t54 (or @t226 @t224 @t236)))) % 45.85/46.25 (define @t238 () (not (forall @t136 (= @t237 @t235)))) % 45.85/46.25 (define @t239 () (not @t229)) % 45.85/46.25 (define @t240 () (not (>= @t221 0))) % 45.85/46.25 (define @t241 () (not (tptp.partial_solution1 0 @t147))) % 45.85/46.25 (define @t242 () (or @t241 @t240 @t239 @t238 @t234 @t231 @t230)) % 45.85/46.25 (define @t243 () (@list @t141 @t147 @t221 @t216 @t232 @t219)) % 45.85/46.25 (define @t244 () (forall @t243 @t242)) % 45.85/46.25 (define @t245 () (not (forall @t54 (or @t226 @t171)))) % 45.85/46.25 (define @t246 () (+ @t52 (* -1 tptp.n1))) % 45.85/46.25 (define @t247 () (>= @t246 0)) % 45.85/46.25 (define @t248 () (not @t247)) % 45.85/46.25 (define @t249 () (and @t225 @t248)) % 45.85/46.25 (define @t250 () (tptp.t2tb (tptp.below1 tptp.n1))) % 45.85/46.25 (define @t251 () (tptp.mem tptp.int @t53 @t250)) % 45.85/46.25 (define @t252 () (not (forall @t54 (= @t251 @t249)))) % 45.85/46.25 (define @t253 () (tptp.cardinal1 tptp.int @t250)) % 45.85/46.25 (define @t254 () (not (= tptp.n1 @t253))) % 45.85/46.25 (define @t255 () (not (>= tptp.n1 0))) % 45.85/46.25 (define @t256 () (or @t254 @t252 @t245 @t244)) % 45.85/46.25 (define @t257 () (or @t254 @t252 @t245 @t242)) % 45.85/46.25 (define @t258 () (or @t240 @t239 @t254 @t252 @t245 @t241 @t238 @t234 @t231 @t230)) % 45.85/46.25 (define @t259 () (forall @t136 (= @t235 @t237))) % 45.85/46.25 (define @t260 () (not @t259)) % 45.85/46.25 (define @t261 () (>= @t96 0)) % 45.85/46.25 (define @t262 () (+ @t96 @t165)) % 45.85/46.25 (define @t263 () (not (= @t52 @t262))) % 45.85/46.25 (define @t264 () (not @t261)) % 45.85/46.25 (define @t265 () (* -1 0)) % 45.85/46.25 (define @t266 () (+ @t265 @t96 @t165)) % 45.85/46.25 (define @t267 () (= @t52 @t266)) % 45.85/46.25 (define @t268 () (not @t267)) % 45.85/46.25 (define @t269 () (* -1 @t96)) % 45.85/46.25 (define @t270 () (+ @t96 1)) % 45.85/46.25 (define @t271 () (+ 0 @t269)) % 45.85/46.25 (define @t272 () (>= @t271 1)) % 45.85/46.25 (define @t273 () (not @t272)) % 45.85/46.25 (define @t274 () (or @t264 @t273 @t268)) % 45.85/46.25 (define @t275 () (forall @t104 @t274)) % 45.85/46.25 (define @t276 () (= @t171 @t275)) % 45.85/46.25 (define @t277 () (or @t226 @t276)) % 45.85/46.25 (define @t278 () (forall @t54 @t277)) % 45.85/46.25 (define @t279 () (not @t278)) % 45.85/46.25 (define @t280 () (+ @t269 @t165)) % 45.85/46.25 (define @t281 () (not (= @t52 @t280))) % 45.85/46.25 (define @t282 () (+ 0 @t269 @t165)) % 45.85/46.25 (define @t283 () (= @t52 @t282)) % 45.85/46.25 (define @t284 () (not @t283)) % 45.85/46.25 (define @t285 () (or @t264 @t273 @t284)) % 45.85/46.25 (define @t286 () (forall @t104 @t285)) % 45.85/46.25 (define @t287 () (= @t171 @t286)) % 45.85/46.25 (define @t288 () (or @t226 @t287)) % 45.85/46.25 (define @t289 () (forall @t54 @t288)) % 45.85/46.25 (define @t290 () (not @t289)) % 45.85/46.25 (define @t291 () (= @t52 @t165)) % 45.85/46.25 (define @t292 () (not @t291)) % 45.85/46.25 (define @t293 () (or @t264 @t273 @t292)) % 45.85/46.25 (define @t294 () (forall @t104 @t293)) % 45.85/46.25 (define @t295 () (and @t225 @t248 @t294)) % 45.85/46.25 (define @t296 () (forall @t54 (= @t295 @t251))) % 45.85/46.25 (define @t297 () (not @t296)) % 45.85/46.25 (define @t298 () (+ 0 @t253)) % 45.85/46.25 (define @t299 () (= tptp.n1 @t298)) % 45.85/46.25 (define @t300 () (not @t299)) % 45.85/46.25 (define @t301 () (>= 0 0)) % 45.85/46.25 (define @t302 () (not @t301)) % 45.85/46.25 (define @t303 () (= 0 0)) % 45.85/46.25 (define @t304 () (not @t303)) % 45.85/46.25 (define @t305 () (or @t240 @t239 @t304 @t302 @t300 @t297 @t290 @t279 @t241 @t260 @t234 @t231 @t230)) % 45.85/46.25 (define @t306 () (not (tptp.eq_prefix1 tptp.int @t148 @t233 @t80))) % 45.85/46.25 (define @t307 () (and @t134 (tptp.eq_prefix1 tptp.int @t233 @t107 @t80))) % 45.85/46.25 (define @t308 () (not (forall @t136 (= @t307 @t237)))) % 45.85/46.25 (define @t309 () (not @t162)) % 45.85/46.25 (define @t310 () (+ @t206 @t96 @t165)) % 45.85/46.25 (define @t311 () (= @t52 @t310)) % 45.85/46.25 (define @t312 () (not @t311)) % 45.85/46.25 (define @t313 () (+ @t80 @t269)) % 45.85/46.25 (define @t314 () (>= @t313 1)) % 45.85/46.25 (define @t315 () (not @t314)) % 45.85/46.25 (define @t316 () (or @t264 @t315 @t312)) % 45.85/46.25 (define @t317 () (= @t171 (forall @t104 @t316))) % 45.85/46.25 (define @t318 () (forall @t54 (or @t226 @t317))) % 45.85/46.25 (define @t319 () (not @t318)) % 45.85/46.25 (define @t320 () (+ @t80 @t269 @t165)) % 45.85/46.25 (define @t321 () (= @t52 @t320)) % 45.85/46.25 (define @t322 () (not @t321)) % 45.85/46.25 (define @t323 () (or @t264 @t315 @t322)) % 45.85/46.25 (define @t324 () (= @t171 (forall @t104 @t323))) % 45.85/46.25 (define @t325 () (forall @t54 (or @t226 @t324))) % 45.85/46.25 (define @t326 () (not @t325)) % 45.85/46.25 (define @t327 () (or @t264 @t315 @t292)) % 45.85/46.25 (define @t328 () (and @t225 @t248 (forall @t104 @t327))) % 45.85/46.25 (define @t329 () (not (forall @t54 (= @t328 @t251)))) % 45.85/46.25 (define @t330 () (not (= tptp.n1 (+ @t80 @t253)))) % 45.85/46.25 (define @t331 () (not @t198)) % 45.85/46.25 (define @t332 () (or @t331 @t240 @t239 @t331 @t211 @t330 @t329 @t326 @t319 @t309 @t308 @t306 @t231 @t230)) % 45.85/46.25 (define @t333 () (or @t240 @t239 @t331 @t211 @t330 @t329 @t326 @t319 @t309 @t308 @t306 @t231 @t230)) % 45.85/46.25 (define @t334 () (forall @t87 @t333)) % 45.85/46.25 (define @t335 () (forall @t243 @t334)) % 45.85/46.25 (define @t336 () (forall (@list @t141 @t147 @t221 @t216 @t232 @t219 @t80) @t333)) % 45.85/46.25 (define @t337 () (@list @t141 @t80 @t147 @t221 @t216 @t232 @t219)) % 45.85/46.25 (define @t338 () (+ @t52 0 @t222)) % 45.85/46.25 (define @t339 () (>= @t338 0)) % 45.85/46.25 (define @t340 () (or @t226 @t339 @t220)) % 45.85/46.25 (define @t341 () (forall @t54 @t340)) % 45.85/46.25 (define @t342 () (not @t341)) % 45.85/46.25 (define @t343 () (= @t227 @t342)) % 45.85/46.25 (define @t344 () (and @t303 @t229 @t343)) % 45.85/46.25 (define @t345 () (+ @t52 @t265)) % 45.85/46.25 (define @t346 () (>= @t345 0)) % 45.85/46.25 (define @t347 () (not @t346)) % 45.85/46.25 (define @t348 () (or @t347 @t224 @t236)) % 45.85/46.25 (define @t349 () (forall @t54 @t348)) % 45.85/46.25 (define @t350 () (not @t349)) % 45.85/46.25 (define @t351 () (forall @t136 (= @t350 @t307))) % 45.85/46.25 (define @t352 () (not @t351)) % 45.85/46.25 (define @t353 () (+ @t221 1)) % 45.85/46.25 (define @t354 () (+ 0 @t222)) % 45.85/46.25 (define @t355 () (>= @t354 1)) % 45.85/46.25 (define @t356 () (or @t304 @t302 @t355 @t239 @t331 @t211 @t330 @t329 @t326 @t319 @t309 @t352 @t306 @t231 @t344)) % 45.85/46.25 (define @t357 () (and @t199 @t229 (= @t227 (not (forall @t54 (or @t226 (>= (+ @t52 @t129 @t222) 0) @t220)))))) % 45.85/46.25 (define @t358 () (not (tptp.eq_prefix1 @t94 @t142 @t217 @t129))) % 45.85/46.25 (define @t359 () (* -1 @t129)) % 45.85/46.25 (define @t360 () (+ @t52 @t359)) % 45.85/46.25 (define @t361 () (>= @t360 0)) % 45.85/46.25 (define @t362 () (not @t361)) % 45.85/46.25 (define @t363 () (not (forall @t136 (= (not (forall @t54 (or @t362 @t224 @t236))) @t307)))) % 45.85/46.25 (define @t364 () (not (tptp.sorted1 @t216 @t129 @t221))) % 45.85/46.25 (define @t365 () (>= (+ @t129 @t222) 1)) % 45.85/46.25 (define @t366 () (>= @t129 0)) % 45.85/46.25 (define @t367 () (not @t366)) % 45.85/46.25 (define @t368 () (not @t199)) % 45.85/46.25 (define @t369 () (or @t368 @t368 @t367 @t365 @t364 @t331 @t211 @t330 @t329 @t326 @t319 @t309 @t363 @t306 @t358 @t357)) % 45.85/46.25 (define @t370 () (@list @t129)) % 45.85/46.25 (define @t371 () (or @t368 @t367 @t365 @t364 @t331 @t211 @t330 @t329 @t326 @t319 @t309 @t363 @t306 @t358 @t357)) % 45.85/46.25 (define @t372 () (forall @t370 @t371)) % 45.85/46.25 (define @t373 () (forall @t337 @t372)) % 45.85/46.25 (define @t374 () (forall (@list @t141 @t80 @t147 @t221 @t216 @t232 @t219 @t129) @t371)) % 45.85/46.25 (define @t375 () (@list @t129 @t141 @t80 @t147 @t221 @t216 @t232 @t219)) % 45.85/46.25 (define @t376 () (forall @t375 @t371)) % 45.85/46.25 (define @t377 () (or @t255 @t376)) % 45.85/46.25 (define @t378 () (or @t255 @t371)) % 45.85/46.25 (define @t379 () (or @t255 @t368 @t331 @t211 @t330 @t367 @t329 @t326 @t319 @t309 @t365 @t364 @t363 @t306 @t358 @t357)) % 45.85/46.25 (define @t380 () (forall @t54 (= @t251 @t328))) % 45.85/46.25 (define @t381 () (not @t380)) % 45.85/46.25 (define @t382 () (not (= tptp.n1 tptp.n1))) % 45.85/46.25 (define @t383 () (or @t255 @t382 @t368 @t331 @t211 @t330 @t367 @t381 @t326 @t319 @t309 @t365 @t364 @t363 @t306 @t358 @t357)) % 45.85/46.25 (define @t384 () (forall @t54 (= @t191 @t328))) % 45.85/46.25 (define @t385 () (not @t384)) % 45.85/46.25 (define @t386 () (= tptp.n1 @t194)) % 45.85/46.25 (define @t387 () (not @t386)) % 45.85/46.25 (define @t388 () (= tptp.n1 @t189)) % 45.85/46.25 (define @t389 () (not @t388)) % 45.85/46.25 (define @t390 () (>= @t189 0)) % 45.85/46.25 (define @t391 () (not @t390)) % 45.85/46.25 (define @t392 () (@list @t189)) % 45.85/46.25 (define @t393 () (* 1 (- @t189 tptp.n1))) % 45.85/46.25 (define @t394 () (* -1 (- tptp.n1 @t189))) % 45.85/46.25 (define @t395 () (or @t389 @t391 @t389 @t368 @t331 @t211 @t387 @t367 @t385 @t326 @t319 @t309 @t365 @t364 @t363 @t306 @t358 @t357)) % 45.85/46.25 (define @t396 () (or @t391 @t389 @t368 @t331 @t211 @t387 @t367 @t385 @t326 @t319 @t309 @t365 @t364 @t363 @t306 @t358 @t357)) % 45.85/46.25 (define @t397 () (forall @t392 @t396)) % 45.85/46.25 (define @t398 () (forall @t375 @t397)) % 45.85/46.25 (define @t399 () (forall (@list @t129 @t141 @t80 @t147 @t221 @t216 @t232 @t219 @t189) @t396)) % 45.85/46.25 (define @t400 () (@list @t189 @t129 @t141 @t80 @t147 @t221 @t216 @t232 @t219)) % 45.85/46.25 (define @t401 () (or @t365 @t364 @t363 @t306 @t358 @t357)) % 45.85/46.25 (define @t402 () (or @t391 @t389 @t368 @t331 @t211 @t387 @t367 @t385 @t326 @t319 @t309 @t401)) % 45.85/46.25 (define @t403 () (forall @t400 @t402)) % 45.85/46.25 (define @t404 () (@list @t221 @t216 @t232 @t219)) % 45.85/46.25 (define @t405 () (forall @t404 @t402)) % 45.85/46.25 (define @t406 () (forall @t404 @t401)) % 45.85/46.25 (define @t407 () (@var "BOUND_VARIABLE_8962" tptp.map_int_int)) % 45.85/46.25 (define @t408 () (or @t391 @t389 @t368 @t331 @t211 @t387 @t367 @t385 @t326 @t319 @t309 @t406)) % 45.85/46.25 (define @t409 () (* -1 @t130)) % 45.85/46.25 (define @t410 () (+ @t52 @t129 @t409)) % 45.85/46.25 (define @t411 () (>= @t410 0)) % 45.85/46.25 (define @t412 () (= (tptp.partial_solution1 tptp.n1 @t407) (not (forall @t54 (or @t226 @t411 (not (tptp.eq_prefix1 tptp.int (tptp.t2tb2 @t407) @t127 tptp.n1))))))) % 45.85/46.25 (define @t413 () (and @t199 @t138 @t412)) % 45.85/46.25 (define @t414 () (not @t143)) % 45.85/46.25 (define @t415 () (not (tptp.eq_prefix1 tptp.int @t148 @t146 @t80))) % 45.85/46.25 (define @t416 () (and @t134 (tptp.eq_prefix1 tptp.int @t146 @t107 @t80))) % 45.85/46.25 (define @t417 () (not @t128)) % 45.85/46.25 (define @t418 () (+ @t52 @t409)) % 45.85/46.25 (define @t419 () (>= @t418 0)) % 45.85/46.25 (define @t420 () (not (forall @t54 (or @t362 @t419 @t417)))) % 45.85/46.25 (define @t421 () (not (forall @t136 (= @t420 @t416)))) % 45.85/46.25 (define @t422 () (not @t155)) % 45.85/46.25 (define @t423 () (+ @t129 @t409)) % 45.85/46.25 (define @t424 () (>= @t423 1)) % 45.85/46.25 (define @t425 () (or @t424 @t422 @t421 @t415 @t414 @t413)) % 45.85/46.25 (define @t426 () (@list @t130 @t125 @t145 @t407)) % 45.85/46.25 (define @t427 () (forall @t426 @t425)) % 45.85/46.25 (define @t428 () (or @t391 @t389 @t368 @t331 @t211 @t387 @t367 @t385 @t326 @t319 @t309 @t427)) % 45.85/46.25 (define @t429 () (or @t211 @t387 @t367 @t385 @t326 @t319 @t309 @t427)) % 45.85/46.25 (define @t430 () (or @t391 @t389 @t368 @t331)) % 45.85/46.25 (define @t431 () (or @t211 @t387 @t367 @t385 @t326 @t319 @t309)) % 45.85/46.25 (define @t432 () (and @t210 @t386 @t366 @t384 @t325 @t318 @t162)) % 45.85/46.25 (define @t433 () (=> @t432 @t427)) % 45.85/46.25 (define @t434 () (and @t390 @t388 @t199 @t198)) % 45.85/46.25 (define @t435 () (forall @t136 (= @t416 @t420))) % 45.85/46.25 (define @t436 () (not @t435)) % 45.85/46.25 (define @t437 () (not (= @t80 @t80))) % 45.85/46.25 (define @t438 () (or @t424 @t437 @t422 @t436 @t415 @t414 @t413)) % 45.85/46.25 (define @t439 () (not @t149)) % 45.85/46.25 (define @t440 () (forall @t136 (= @t152 @t420))) % 45.85/46.25 (define @t441 () (not @t440)) % 45.85/46.25 (define @t442 () (= @t80 @t144)) % 45.85/46.25 (define @t443 () (not @t442)) % 45.85/46.25 (define @t444 () (@list @t144)) % 45.85/46.25 (define @t445 () (* 1 (- @t144 @t80))) % 45.85/46.25 (define @t446 () (* -1 (- @t80 @t144))) % 45.85/46.25 (define @t447 () (or @t443 @t424 @t443 @t422 @t441 @t439 @t414 @t413)) % 45.85/46.25 (define @t448 () (or @t424 @t443 @t422 @t441 @t439 @t414 @t413)) % 45.85/46.25 (define @t449 () (forall @t444 @t448)) % 45.85/46.25 (define @t450 () (forall @t426 @t449)) % 45.85/46.25 (define @t451 () (forall (@list @t130 @t125 @t145 @t407 @t144) @t448)) % 45.85/46.25 (define @t452 () (forall (@list @t130 @t125 @t144 @t145 @t407) @t448)) % 45.85/46.25 (define @t453 () (@list @t407)) % 45.85/46.25 (define @t454 () (forall @t453 @t448)) % 45.85/46.25 (define @t455 () (forall @t453 @t412)) % 45.85/46.25 (define @t456 () (forall @t453 @t138)) % 45.85/46.25 (define @t457 () (forall @t453 @t199)) % 45.85/46.25 (define @t458 () (and @t457 @t456 @t455)) % 45.85/46.25 (define @t459 () (forall @t453 @t413)) % 45.85/46.25 (define @t460 () (or @t424 @t443 @t422 @t441 @t439 @t414 @t459)) % 45.85/46.25 (define @t461 () (and @t199 @t138 (forall @t136 (= @t134 (not (forall @t54 (or @t226 @t411 @t417))))))) % 45.85/46.25 (define @t462 () (or @t424 @t443 @t422 @t441 @t439 @t414 @t461)) % 45.85/46.25 (define @t463 () (not @t424)) % 45.85/46.25 (define @t464 () (not @t463)) % 45.85/46.25 (define @t465 () (or @t464 @t443 @t422 @t441 @t439 @t414)) % 45.85/46.25 (define @t466 () (and @t463 @t442 @t155 @t440 @t149 @t143)) % 45.85/46.25 (define @t467 () (not @t411)) % 45.85/46.25 (define @t468 () (not @t467)) % 45.85/46.25 (define @t469 () (or @t226 @t468 @t417)) % 45.85/46.25 (define @t470 () (and @t225 @t467 @t128)) % 45.85/46.25 (define @t471 () (forall @t54 (not @t470))) % 45.85/46.25 (define @t472 () (not @t471)) % 45.85/46.25 (define @t473 () (+ @t359 @t130)) % 45.85/46.25 (define @t474 () (+ @t130 @t359)) % 45.85/46.25 (define @t475 () (>= @t52 @t131)) % 45.85/46.25 (define @t476 () (not @t419)) % 45.85/46.25 (define @t477 () (not @t476)) % 45.85/46.25 (define @t478 () (or @t362 @t477 @t417)) % 45.85/46.25 (define @t479 () (and @t361 @t476 @t128)) % 45.85/46.25 (define @t480 () (forall @t54 (not @t479))) % 45.85/46.25 (define @t481 () (not @t480)) % 45.85/46.25 (define @t482 () (>= @t52 @t130)) % 45.85/46.25 (define @t483 () (+ @t473 1)) % 45.85/46.25 (define @t484 () (>= 0 @t483)) % 45.85/46.25 (define @t485 () (or @t264 @t315)) % 45.85/46.25 (define @t486 () (and @t261 @t314)) % 45.85/46.25 (define @t487 () (not @t486)) % 45.85/46.25 (define @t488 () (+ @t52 @t80 @t269)) % 45.85/46.25 (define @t489 () (+ @t269 @t80 @t52)) % 45.85/46.25 (define @t490 () (+ @t163 @t269)) % 45.85/46.25 (define @t491 () (+ @t313 1)) % 45.85/46.25 (define @t492 () (>= @t96 @t80)) % 45.85/46.25 (define @t493 () (+ @t52 @t206 @t96)) % 45.85/46.25 (define @t494 () (+ @t206 @t96 @t52)) % 45.85/46.25 (define @t495 () (+ @t175 @t206)) % 45.85/46.25 (define @t496 () (>= @t52 tptp.n1)) % 45.85/46.25 (define @t497 () (tptp.t2tb2 (@quantifiers_skolemize @t244 4))) % 45.85/46.25 (define @t498 () (@quantifiers_skolemize @t244 3)) % 45.85/46.25 (define @t499 () (tptp.t2tb3 @t498)) % 45.85/46.25 (define @t500 () (tptp.get @t94 tptp.int @t499 @t53)) % 45.85/46.25 (define @t501 () (@quantifiers_skolemize @t244 2)) % 45.85/46.25 (define @t502 () (>= (+ @t52 (* -1 @t501)) 0)) % 45.85/46.25 (define @t503 () (forall @t136 (= (not (forall @t54 (or @t226 @t502 (not (tptp.eq_prefix1 tptp.int @t107 @t500 tptp.n1))))) (and @t134 (tptp.eq_prefix1 tptp.int @t497 @t107 0))))) % 45.85/46.25 (define @t504 () (@quantifiers_skolemize @t244 5)) % 45.85/46.25 (define @t505 () (tptp.t2tb2 @t504)) % 45.85/46.25 (define @t506 () (forall @t54 (or @t226 @t502 (not (tptp.eq_prefix1 tptp.int @t505 @t500 tptp.n1))))) % 45.85/46.25 (define @t507 () (not @t506)) % 45.85/46.25 (define @t508 () (tptp.partial_solution1 tptp.n1 @t504)) % 45.85/46.25 (define @t509 () (= @t508 @t507)) % 45.85/46.25 (define @t510 () (tptp.sorted1 @t498 0 @t501)) % 45.85/46.25 (define @t511 () (and @t510 @t509)) % 45.85/46.25 (define @t512 () (@quantifiers_skolemize @t244 1)) % 45.85/46.25 (define @t513 () (not @t503)) % 45.85/46.25 (define @t514 () (not @t510)) % 45.85/46.25 (define @t515 () (or (not (tptp.partial_solution1 0 @t512)) (not (>= @t501 0)) @t514 @t513 (not (tptp.eq_prefix1 tptp.int (tptp.t2tb2 @t512) @t497 0)) (not (tptp.eq_prefix1 @t94 (tptp.t2tb3 (@quantifiers_skolemize @t244 0)) @t499 0)) @t511)) % 45.85/46.25 (define @t516 () (@list true)) % 45.85/46.25 (define @t517 () (@list @t515)) % 45.85/46.25 (define @t518 () (not @t509)) % 45.85/46.25 (define @t519 () (@list false true)) % 45.85/46.25 (define @t520 () (not @t508)) % 45.85/46.25 (define @t521 () (not @t507)) % 45.85/46.25 (define @t522 () (tptp.eq_prefix1 tptp.int @t497 @t505 0)) % 45.85/46.25 (define @t523 () (and @t508 @t522)) % 45.85/46.25 (define @t524 () (= @t507 @t523)) % 45.85/46.25 (define @t525 () (not @t524)) % 45.85/46.25 (define @t526 () (not @t523)) % 45.85/46.25 (define @t527 () (not @t522)) % 45.85/46.25 (define @t528 () (= (tptp.get tptp.int tptp.int @t497 @t81) (tptp.get tptp.int tptp.int @t505 @t81))) % 45.85/46.25 (define @t529 () (+ @t80 1)) % 45.85/46.25 (define @t530 () (+ 0 @t206)) % 45.85/46.25 (define @t531 () (>= @t530 1)) % 45.85/46.25 (define @t532 () (not @t531)) % 45.85/46.25 (define @t533 () (or @t211 @t532 @t528)) % 45.85/46.25 (define @t534 () (forall @t87 @t533)) % 45.85/46.25 (define @t535 () (= @t522 @t534)) % 45.85/46.25 (define @t536 () (forall @t91 (= @t89 (forall @t87 @t212)))) % 45.85/46.25 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 45.85/46.25 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 45.85/46.25 (assume @p3 (forall @t8 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 45.85/46.25 (assume @p4 (forall @t8 (=> (tptp.sort1 @t1 @t7) (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 45.85/46.25 (assume @p5 (not (= tptp.true1 tptp.false1))) % 45.85/46.25 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true1) (= @t9 tptp.false1)))) % 45.85/46.25 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple03))) % 45.85/46.25 (assume @p8 (forall (@list @t13 @t12 @t11) (=> (<= @t13 @t12) (=> (<= 0 @t11) (<= (* @t13 @t11) (* @t12 @t11)))))) % 45.85/46.25 (assume @p9 (forall @t23 (and (=> @t16 (forall @t22 @t20)) (=> (forall @t22 (=> @t21 @t20)) @t16)))) % 45.85/46.25 (assume @p10 (forall @t23 (=> (tptp.sort1 @t24 @t15) (=> (tptp.sort1 @t24 @t14) (=> @t16 (= @t15 @t14)))))) % 45.85/46.25 (assume @p11 (forall @t23 (and (=> @t25 (forall @t22 @t26)) (=> (forall @t22 (=> @t21 @t26)) @t25)))) % 45.85/46.25 (assume @p12 (forall @t28 (tptp.subset @t1 @t27 @t27))) % 45.85/46.25 (assume @p13 (forall (@list @t1 @t15 @t14 @t29) (=> @t25 (=> (tptp.subset @t1 @t14 @t29) (tptp.subset @t1 @t15 @t29))))) % 45.85/46.25 (assume @p14 (forall @t2 (tptp.sort1 @t24 @t30))) % 45.85/46.25 (assume @p15 (forall @t28 (and (=> @t31 (forall @t22 @t33)) (=> (forall @t22 (=> @t21 @t33)) @t31)))) % 45.85/46.25 (assume @p16 (forall @t2 (tptp.is_empty @t1 @t30))) % 45.85/46.25 (assume @p17 (forall @t34 (= (tptp.mem @t1 @t17 @t30) false))) % 45.85/46.25 (assume @p18 (forall @t35 (tptp.sort1 @t24 (tptp.add @t1 @t17 @t4)))) % 45.85/46.25 (assume @p19 (forall (@list @t1 @t17 @t36) (=> @t21 (=> @t38 (forall (@list @t27) (= (tptp.mem @t1 @t17 (tptp.add @t1 @t36 @t27)) (or @t37 @t32))))))) % 45.85/46.25 (assume @p20 (forall @t35 (tptp.sort1 @t24 (tptp.remove @t1 @t17 @t4)))) % 45.85/46.25 (assume @p21 (forall (@list @t1 @t17 @t36 @t27) (=> @t21 (=> @t38 (= (tptp.mem @t1 @t17 (tptp.remove @t1 @t36 @t27)) (and (not @t37) @t32)))))) % 45.85/46.25 (assume @p22 (forall @t40 (=> (tptp.sort1 @t24 @t27) (=> @t32 (= (tptp.add @t1 @t17 @t39) @t27))))) % 45.85/46.25 (assume @p23 (forall @t40 (= (tptp.remove @t1 @t17 @t41) @t39))) % 45.85/46.25 (assume @p24 (forall @t40 (tptp.subset @t1 @t39 @t27))) % 45.85/46.25 (assume @p25 (forall @t35 (tptp.sort1 @t24 (tptp.union @t1 @t17 @t4)))) % 45.85/46.25 (assume @p26 (forall @t42 (= (tptp.mem @t1 @t17 (tptp.union @t1 @t15 @t14)) (or @t19 @t18)))) % 45.85/46.25 (assume @p27 (forall @t35 (tptp.sort1 @t24 (tptp.inter @t1 @t17 @t4)))) % 45.85/46.25 (assume @p28 (forall @t42 (= (tptp.mem @t1 @t17 (tptp.inter @t1 @t15 @t14)) (and @t19 @t18)))) % 45.85/46.25 (assume @p29 (forall @t35 (tptp.sort1 @t24 (tptp.diff @t1 @t17 @t4)))) % 45.85/46.25 (assume @p30 (forall @t42 (= (tptp.mem @t1 @t17 @t43) (and @t19 (not @t18))))) % 45.85/46.25 (assume @p31 (forall @t23 (tptp.subset @t1 @t43 @t15))) % 45.85/46.25 (assume @p32 (forall @t34 (tptp.sort1 @t1 (tptp.choose @t1 @t17)))) % 45.85/46.25 (assume @p33 (forall @t28 (=> (not @t31) (tptp.mem @t1 @t44 @t27)))) % 45.85/46.25 (assume @p34 (forall @t28 (<= 0 @t45))) % 45.85/46.25 (assume @p35 (forall @t28 (= (= @t45 0) @t31))) % 45.85/46.25 (assume @p36 (forall @t40 (=> @t33 (= (tptp.cardinal1 @t1 @t41) (+ 1 @t45))))) % 45.85/46.25 (assume @p37 (forall @t40 (=> @t32 (= @t45 (+ 1 (tptp.cardinal1 @t1 @t39)))))) % 45.85/46.25 (assume @p38 (forall @t23 (=> @t25 (<= (tptp.cardinal1 @t1 @t15) (tptp.cardinal1 @t1 @t14))))) % 45.85/46.25 (assume @p39 (forall @t28 (=> (= @t45 1) (forall @t22 (=> @t21 (=> @t32 (= @t17 @t44))))))) % 45.85/46.25 (assume @p40 (forall (@list @t46) (tptp.sort1 (tptp.set tptp.int) (tptp.t2tb @t46)))) % 45.85/46.25 (assume @p41 (forall (@list @t47) (= (tptp.tb2t (tptp.t2tb @t47)) @t47))) % 45.85/46.25 (assume @p42 (forall @t49 (= (tptp.t2tb (tptp.tb2t @t48)) @t48))) % 45.85/46.25 (assume @p43 (forall @t51 (tptp.sort1 tptp.int @t50))) % 45.85/46.25 (assume @p44 (forall @t54 (= (tptp.tb2t1 @t53) @t52))) % 45.85/46.25 (assume @p45 (forall @t49 (= (tptp.t2tb1 (tptp.tb2t1 @t48)) @t48))) % 45.85/46.25 (assume @p46 (forall @t59 (=> @t58 (tptp.mem tptp.int (tptp.t2tb1 @t57) @t56)))) % 45.85/46.25 (assume @p47 (forall @t59 (=> @t58 (forall @t51 (=> @t60 (<= @t57 @t13)))))) % 45.85/46.25 (assume @p48 (forall @t59 (=> @t58 (tptp.mem tptp.int (tptp.t2tb1 @t61) @t56)))) % 45.85/46.25 (assume @p49 (forall @t59 (=> @t58 (forall @t51 (=> @t60 (<= @t13 @t61)))))) % 45.85/46.25 (assume @p50 (forall (@list @t13 @t62) (= (tptp.mem tptp.int @t50 @t63) (and (<= 0 @t13) (< @t13 @t62))))) % 45.85/46.25 (assume @p51 (forall (@list @t62) (and (=> @t65 (= @t64 @t62)) (=> (not @t65) (= @t64 0))))) % 45.85/46.25 (assume @p52 (forall @t66 (= (tptp.mem tptp.int @t53 (tptp.t2tb (tptp.succ1 @t55))) (and (<= 1 @t52) (tptp.mem tptp.int (tptp.t2tb1 (- @t52 1)) @t56))))) % 45.85/46.25 (assume @p53 (forall @t66 (= (tptp.mem tptp.int @t53 (tptp.t2tb (tptp.pred1 @t55))) (and @t67 (tptp.mem tptp.int (tptp.t2tb1 (+ @t52 1)) @t56))))) % 45.85/46.25 (assume @p54 (forall @t34 (tptp.sort1 @t68 (tptp.mk_ref @t1 @t17)))) % 45.85/46.25 (assume @p55 (forall @t34 (tptp.sort1 @t1 (tptp.contents @t1 @t17)))) % 45.85/46.25 (assume @p56 (forall @t70 (=> (tptp.sort1 @t1 @t69) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t69)) @t69)))) % 45.85/46.25 (assume @p57 (forall @t70 (=> (tptp.sort1 @t68 @t69) (= @t69 (tptp.mk_ref @t1 (tptp.contents @t1 @t69)))))) % 45.85/46.25 (assume @p58 (forall (@list @t1 @t71 @t17 @t4) (tptp.sort1 @t71 (tptp.get @t71 @t1 @t17 @t4)))) % 45.85/46.25 (assume @p59 (forall (@list @t1 @t71 @t17 @t4 @t3) (tptp.sort1 @t72 (tptp.set1 @t71 @t1 @t17 @t4 @t3)))) % 45.85/46.25 (assume @p60 (forall (@list @t1 @t71 @t76 @t75 @t74 @t73) (=> @t79 (=> @t78 (= @t77 @t73))))) % 45.85/46.25 (assume @p61 (forall (@list @t1 @t71 @t76 @t75 @t74) (=> (tptp.sort1 @t1 @t75) (=> (tptp.sort1 @t1 @t74) (forall (@list @t73) (=> (not @t78) (= @t77 (tptp.get @t71 @t1 @t76 @t74)))))))) % 45.85/46.25 (assume @p62 (forall (@list @t1 @t71 @t17) (tptp.sort1 @t72 (tptp.const @t71 @t1 @t17)))) % 45.85/46.25 (assume @p63 (forall (@list @t1 @t71 @t73 @t75) (=> @t79 (= (tptp.get @t71 @t1 (tptp.const @t71 @t1 @t73) @t75) @t73)))) % 45.85/46.25 (assume @p64 @t92) % 45.85/46.25 (assume @p65 (forall (@list @t93) (tptp.sort1 @t94 (tptp.t2tb2 @t93)))) % 45.85/46.25 (assume @p66 (forall (@list @t95) (= (tptp.tb2t2 (tptp.t2tb2 @t95)) @t95))) % 45.85/46.25 (assume @p67 (forall @t49 (= (tptp.t2tb2 (tptp.tb2t2 @t48)) @t48))) % 45.85/46.25 (assume @p68 (forall (@list @t80 @t98) (= (tptp.partial_solution1 @t80 @t98) (forall @t54 (=> (and @t67 (< @t52 @t80)) (and (<= 0 @t101) (< @t101 tptp.n1) (forall @t104 (=> (and @t103 (< @t96 @t52)) (and (not (= @t101 @t100)) (not (= @t102 (- @t52 @t96))) (not (= @t102 (- @t96 @t52)))))))))))) % 45.85/46.25 (assume @p69 (forall (@list @t105 @t106 @t80) (=> (tptp.partial_solution1 @t80 @t106) (=> (tptp.eq_prefix1 tptp.int @t107 (tptp.t2tb2 @t105) @t80) (tptp.partial_solution1 @t80 @t105))))) % 45.85/46.25 (assume @p70 (forall (@list @t110 @t108) (= (tptp.lt_sol1 @t110 @t108) (exists @t54 (and @t67 @t112 (tptp.eq_prefix1 tptp.int @t111 @t109 @t52) (< (tptp.tb2t1 (tptp.get tptp.int tptp.int @t111 @t53)) (tptp.tb2t1 (tptp.get tptp.int tptp.int @t109 @t53)))))))) % 45.85/46.25 (assume @p71 (forall (@list @t113) (tptp.sort1 (tptp.map tptp.int @t94) (tptp.t2tb3 @t113)))) % 45.85/46.25 (assume @p72 (forall (@list @t114) (= (tptp.tb2t3 (tptp.t2tb3 @t114)) @t114))) % 45.85/46.25 (assume @p73 (forall @t49 (= (tptp.t2tb3 (tptp.tb2t3 @t48)) @t48))) % 45.85/46.25 (assume @p74 (forall @t124 (= @t123 (forall @t122 (=> @t121 (tptp.lt_sol1 (tptp.tb2t2 @t118) (tptp.tb2t2 @t117))))))) % 45.85/46.25 (assume @p75 (forall @t124 (=> @t123 (forall @t122 (=> @t121 (not (tptp.eq_prefix1 tptp.int @t118 @t117 tptp.n1))))))) % 45.85/46.25 (assume @p76 @t205) % 45.85/46.25 (assume @p77 true) % 45.85/46.25 (step @p78 :rule aci_norm :args ((= (or (or @t211 @t209) @t83) @t212))) % 45.85/46.25 (step @p79 :rule refl :args (@t83)) % 45.85/46.25 (step @p80 :rule bool-and-de-morgan :args (@t210 @t208 true)) % 45.85/46.25 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t213) @t83))) % 45.85/46.25 (step @p82 :rule trans :premises (@p81 @p78)) % 45.85/46.25 (step @p83 :rule bool-impl-elim :args (@t213 @t83)) % 45.85/46.25 (step @p84 :rule trans :premises (@p83 @p82)) % 45.85/46.25 (step @p85 :rule cong :premises (@p84) :args ((forall @t87 (=> @t213 @t83)))) % 45.85/46.25 (step @p86 :rule refl :args (@t83)) % 45.85/46.25 (step @p87 :rule bool-double-not-elim :args (@t208)) % 45.85/46.25 (step @p88 :rule arith_poly_norm :args ((= (* -1 (- 1 @t214)) (* -1 (- @t80 @t52))))) % 45.85/46.25 (step @p89 :rule arith_poly_norm_rel :premises (@p88) :args ((= (>= 1 @t214) @t215))) % 45.85/46.25 (step @p90 :rule arith-geq-tighten :args (@t207 1)) % 45.85/46.25 (step @p91 :rule trans :premises (@p90 @p89)) % 45.85/46.25 (step @p92 :rule symm :premises (@p91)) % 45.85/46.25 (step @p93 :rule cong :premises (@p92) :args ((not @t215))) % 45.85/46.25 (step @p94 :rule trans :premises (@p93 @p87)) % 45.85/46.25 (step @p95 :rule arith-elim-lt :args (@t80 @t52)) % 45.85/46.25 (step @p96 :rule trans :premises (@p95 @p94)) % 45.85/46.25 (step @p97 :rule arith-elim-leq :args (0 @t80)) % 45.85/46.25 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t85)) % 45.85/46.25 (step @p99 :rule cong :premises (@p98 @p86) :args (@t86)) % 45.85/46.25 (step @p100 :rule cong :premises (@p99) :args (@t88)) % 45.85/46.25 (step @p101 :rule trans :premises (@p100 @p85)) % 45.85/46.25 (step @p102 :rule refl :args (@t89)) % 45.85/46.25 (step @p103 :rule cong :premises (@p102 @p101) :args (@t90)) % 45.85/46.25 (step @p104 :rule cong :premises (@p103) :args (@t92)) % 45.85/46.25 (step @p105 :rule eq_resolve :premises (@p64 @p104)) % 45.85/46.25 (step @p106 :rule aci_norm :args ((= (or @t255 @t256) (or @t255 @t254 @t252 @t245 @t244)))) % 45.85/46.25 (step @p107 :rule quant-miniscope-or :args ((= (forall @t243 @t257) @t256))) % 45.85/46.25 (step @p108 :rule aci_norm :args ((= @t258 @t257))) % 45.85/46.25 (step @p109 :rule cong :premises (@p108) :args ((forall @t243 @t258))) % 45.85/46.25 (step @p110 :rule trans :premises (@p109 @p107)) % 45.85/46.25 (step @p111 :rule aci_norm :args ((= (or @t240 @t239 false false @t254 @t252 @t245 @t245 @t241 @t238 @t234 @t231 @t230) @t258))) % 45.85/46.25 (step @p112 :rule refl :args (@t230)) % 45.85/46.25 (step @p113 :rule refl :args (@t231)) % 45.85/46.25 (step @p114 :rule refl :args (@t234)) % 45.85/46.25 (step @p115 :rule eq-symm :args (@t235 @t237)) % 45.85/46.25 (step @p116 :rule cong :premises (@p115) :args (@t259)) % 45.85/46.25 (step @p117 :rule cong :premises (@p116) :args (@t260)) % 45.85/46.25 (step @p118 :rule refl :args (@t241)) % 45.85/46.25 (step @p119 :rule bool-eq-true :args (@t171)) % 45.85/46.25 (step @p120 :rule quant-unused-vars :args ((= (forall @t104 true) true))) % 45.85/46.25 (step @p121 :rule bool-or-taut2 :args (false @t261 false (or @t263))) % 45.85/46.25 (step @p122 :rule cong :premises (@p121) :args ((forall @t104 (or @t264 @t261 @t263)))) % 45.85/46.25 (step @p123 :rule trans :premises (@p122 @p120)) % 45.85/46.25 (step @p124 :rule arith_poly_norm :args ((= (+ 0 @t96 @t165) @t262))) % 45.85/46.25 (step @p125 :rule refl :args (@t165)) % 45.85/46.25 (step @p126 :rule refl :args (@t96)) % 45.85/46.25 (step @p127 :rule evaluate :args (@t265)) % 45.85/46.25 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125) :args (@t266)) % 45.85/46.25 (step @p129 :rule trans :premises (@p128 @p124)) % 45.85/46.25 (step @p130 :rule refl :args (@t52)) % 45.85/46.25 (step @p131 :rule cong :premises (@p130 @p129) :args (@t267)) % 45.85/46.25 (step @p132 :rule cong :premises (@p131) :args (@t268)) % 45.85/46.25 (step @p133 :rule bool-double-not-elim :args (@t261)) % 45.85/46.25 (step @p134 :rule arith_poly_norm :args ((= (* -1 (- 0 @t270)) (* -1 (- @t269 1))))) % 45.85/46.25 (step @p135 :rule arith_poly_norm_rel :premises (@p134) :args ((= (>= 0 @t270) (>= @t269 1)))) % 45.85/46.25 (step @p136 :rule arith-geq-tighten :args (@t96 0)) % 45.85/46.25 (step @p137 :rule trans :premises (@p136 @p135)) % 45.85/46.25 (step @p138 :rule symm :premises (@p137)) % 45.85/46.25 (step @p139 :rule refl :args (1)) % 45.85/46.25 (step @p140 :rule arith_poly_norm :args ((= @t271 @t269))) % 45.85/46.25 (step @p141 :rule cong :premises (@p140 @p139) :args (@t272)) % 45.85/46.25 (step @p142 :rule trans :premises (@p141 @p138)) % 45.85/46.25 (step @p143 :rule cong :premises (@p142) :args (@t273)) % 45.85/46.25 (step @p144 :rule trans :premises (@p143 @p133)) % 45.85/46.25 (step @p145 :rule refl :args (@t264)) % 45.85/46.25 (step @p146 :rule nary_cong :premises (@p145 @p144 @p132) :args (@t274)) % 45.85/46.25 (step @p147 :rule cong :premises (@p146) :args (@t275)) % 45.85/46.25 (step @p148 :rule trans :premises (@p147 @p123)) % 45.85/46.25 (step @p149 :rule refl :args (@t171)) % 45.85/46.25 (step @p150 :rule cong :premises (@p149 @p148) :args (@t276)) % 45.85/46.25 (step @p151 :rule trans :premises (@p150 @p119)) % 45.85/46.25 (step @p152 :rule refl :args (@t226)) % 45.85/46.25 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t277)) % 45.85/46.25 (step @p154 :rule cong :premises (@p153) :args (@t278)) % 45.85/46.25 (step @p155 :rule cong :premises (@p154) :args (@t279)) % 45.85/46.25 (step @p156 :rule bool-or-taut2 :args (false @t261 false (or @t281))) % 45.85/46.25 (step @p157 :rule cong :premises (@p156) :args ((forall @t104 (or @t264 @t261 @t281)))) % 45.85/46.25 (step @p158 :rule trans :premises (@p157 @p120)) % 45.85/46.25 (step @p159 :rule arith_poly_norm :args ((= @t282 @t280))) % 45.85/46.25 (step @p160 :rule cong :premises (@p130 @p159) :args (@t283)) % 45.85/46.25 (step @p161 :rule cong :premises (@p160) :args (@t284)) % 45.85/46.25 (step @p162 :rule nary_cong :premises (@p145 @p144 @p161) :args (@t285)) % 45.85/46.25 (step @p163 :rule cong :premises (@p162) :args (@t286)) % 45.85/46.25 (step @p164 :rule trans :premises (@p163 @p158)) % 45.85/46.25 (step @p165 :rule cong :premises (@p149 @p164) :args (@t287)) % 45.85/46.25 (step @p166 :rule trans :premises (@p165 @p119)) % 45.85/46.25 (step @p167 :rule nary_cong :premises (@p152 @p166) :args (@t288)) % 45.85/46.25 (step @p168 :rule cong :premises (@p167) :args (@t289)) % 45.85/46.25 (step @p169 :rule cong :premises (@p168) :args (@t290)) % 45.85/46.25 (step @p170 :rule aci_norm :args ((= (and @t225 @t248 true) @t249))) % 45.85/46.25 (step @p171 :rule bool-or-taut2 :args (false @t261 false (or @t292))) % 45.85/46.25 (step @p172 :rule cong :premises (@p171) :args ((forall @t104 (or @t264 @t261 @t292)))) % 45.85/46.25 (step @p173 :rule trans :premises (@p172 @p120)) % 45.85/46.25 (step @p174 :rule refl :args (@t292)) % 45.85/46.25 (step @p175 :rule nary_cong :premises (@p145 @p144 @p174) :args (@t293)) % 45.85/46.25 (step @p176 :rule cong :premises (@p175) :args (@t294)) % 45.85/46.25 (step @p177 :rule trans :premises (@p176 @p173)) % 45.85/46.25 (step @p178 :rule refl :args (@t248)) % 45.85/46.25 (step @p179 :rule refl :args (@t225)) % 45.85/46.25 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args (@t295)) % 45.85/46.25 (step @p181 :rule trans :premises (@p180 @p170)) % 45.85/46.25 (step @p182 :rule refl :args (@t251)) % 45.85/46.25 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t251 @t295))) % 45.85/46.25 (step @p184 :rule eq-symm :args (@t295 @t251)) % 45.85/46.25 (step @p185 :rule trans :premises (@p184 @p183)) % 45.85/46.25 (step @p186 :rule cong :premises (@p185) :args (@t296)) % 45.85/46.25 (step @p187 :rule cong :premises (@p186) :args (@t297)) % 45.85/46.25 (step @p188 :rule arith_poly_norm :args ((= @t298 @t253))) % 45.85/46.25 (step @p189 :rule refl :args (tptp.n1)) % 45.85/46.25 (step @p190 :rule cong :premises (@p189 @p188) :args (@t299)) % 45.85/46.25 (step @p191 :rule cong :premises (@p190) :args (@t300)) % 45.85/46.25 (step @p192 :rule evaluate :args ((not true))) % 45.85/46.25 (step @p193 :rule evaluate :args (@t301)) % 45.85/46.25 (step @p194 :rule cong :premises (@p193) :args (@t302)) % 45.85/46.25 (step @p195 :rule trans :premises (@p194 @p192)) % 45.85/46.25 (step @p196 :rule evaluate :args (@t303)) % 45.85/46.25 (step @p197 :rule cong :premises (@p196) :args (@t304)) % 45.85/46.25 (step @p198 :rule trans :premises (@p197 @p192)) % 45.85/46.25 (step @p199 :rule refl :args (@t239)) % 45.85/46.25 (step @p200 :rule refl :args (@t240)) % 45.85/46.25 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p195 @p191 @p187 @p169 @p155 @p118 @p117 @p114 @p113 @p112) :args (@t305)) % 45.85/46.25 (step @p202 :rule trans :premises (@p201 @p111)) % 45.85/46.25 (step @p203 :rule cong :premises (@p202) :args ((forall @t243 @t305))) % 45.85/46.25 (step @p204 :rule trans :premises (@p203 @p110)) % 45.85/46.25 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t87 @t332) @t305))) % 45.85/46.25 (step @p206 :rule aci_norm :args ((= @t333 @t332))) % 45.85/46.25 (step @p207 :rule cong :premises (@p206) :args (@t334)) % 45.85/46.25 (step @p208 :rule trans :premises (@p207 @p205)) % 45.85/46.25 (step @p209 :rule cong :premises (@p208) :args (@t335)) % 45.85/46.25 (step @p210 :rule quant-merge-prenex :args ((= @t335 @t336))) % 45.85/46.25 (step @p211 :rule symm :premises (@p210)) % 45.85/46.25 (step @p212 :rule quant_var_reordering :args ((= (forall @t337 @t333) @t336))) % 45.85/46.25 (step @p213 :rule trans :premises (@p212 @p211 @p209)) % 45.85/46.25 (step @p214 :rule trans :premises (@p213 @p204)) % 45.85/46.25 (step @p215 :rule aci_norm :args ((= (or false false @t240 @t239 @t331 @t211 @t330 @t329 @t326 @t319 @t309 @t308 @t306 @t231 @t230) @t333))) % 45.85/46.25 (step @p216 :rule aci_norm :args ((= (and true @t229 @t228) @t230))) % 45.85/46.25 (step @p217 :rule refl :args (@t220)) % 45.85/46.25 (step @p218 :rule refl :args (0)) % 45.85/46.25 (step @p219 :rule arith_poly_norm :args ((= @t338 @t223))) % 45.85/46.25 (step @p220 :rule cong :premises (@p219 @p218) :args (@t339)) % 45.85/46.25 (step @p221 :rule nary_cong :premises (@p152 @p220 @p217) :args (@t340)) % 45.85/46.25 (step @p222 :rule cong :premises (@p221) :args (@t341)) % 45.85/46.25 (step @p223 :rule cong :premises (@p222) :args (@t342)) % 45.85/46.25 (step @p224 :rule refl :args (@t227)) % 45.85/46.25 (step @p225 :rule cong :premises (@p224 @p223) :args (@t343)) % 45.85/46.25 (step @p226 :rule refl :args (@t229)) % 45.85/46.25 (step @p227 :rule nary_cong :premises (@p196 @p226 @p225) :args (@t344)) % 45.85/46.25 (step @p228 :rule trans :premises (@p227 @p216)) % 45.85/46.25 (step @p229 :rule refl :args (@t306)) % 45.85/46.25 (step @p230 :rule refl :args (@t236)) % 45.85/46.25 (step @p231 :rule refl :args (@t224)) % 45.85/46.25 (step @p232 :rule arith_poly_norm :args ((= (+ @t52 0) @t52))) % 45.85/46.25 (step @p233 :rule nary_cong :premises (@p130 @p127) :args (@t345)) % 45.85/46.25 (step @p234 :rule trans :premises (@p233 @p232)) % 45.85/46.25 (step @p235 :rule cong :premises (@p234 @p218) :args (@t346)) % 45.85/46.25 (step @p236 :rule cong :premises (@p235) :args (@t347)) % 45.85/46.25 (step @p237 :rule nary_cong :premises (@p236 @p231 @p230) :args (@t348)) % 45.85/46.25 (step @p238 :rule cong :premises (@p237) :args (@t349)) % 45.85/46.25 (step @p239 :rule cong :premises (@p238) :args (@t350)) % 45.85/46.25 (step @p240 :rule refl :args (@t307)) % 45.85/46.25 (step @p241 :rule cong :premises (@p240 @p239) :args ((= @t307 @t350))) % 45.85/46.25 (step @p242 :rule eq-symm :args (@t350 @t307)) % 45.85/46.25 (step @p243 :rule trans :premises (@p242 @p241)) % 45.85/46.25 (step @p244 :rule cong :premises (@p243) :args (@t351)) % 45.85/46.25 (step @p245 :rule cong :premises (@p244) :args (@t352)) % 45.85/46.25 (step @p246 :rule refl :args (@t309)) % 45.85/46.25 (step @p247 :rule refl :args (@t319)) % 45.85/46.25 (step @p248 :rule refl :args (@t326)) % 45.85/46.25 (step @p249 :rule refl :args (@t329)) % 45.85/46.25 (step @p250 :rule refl :args (@t330)) % 45.85/46.25 (step @p251 :rule refl :args (@t211)) % 45.85/46.25 (step @p252 :rule refl :args (@t331)) % 45.85/46.25 (step @p253 :rule arith_poly_norm :args ((= (* -1 (- 0 @t353)) (* -1 (- @t222 1))))) % 45.85/46.25 (step @p254 :rule arith_poly_norm_rel :premises (@p253) :args ((= (>= 0 @t353) (>= @t222 1)))) % 45.85/46.25 (step @p255 :rule arith-geq-tighten :args (@t221 0)) % 45.85/46.25 (step @p256 :rule trans :premises (@p255 @p254)) % 45.85/46.25 (step @p257 :rule symm :premises (@p256)) % 45.85/46.25 (step @p258 :rule arith_poly_norm :args ((= @t354 @t222))) % 45.85/46.25 (step @p259 :rule cong :premises (@p258 @p139) :args (@t355)) % 45.85/46.25 (step @p260 :rule trans :premises (@p259 @p257)) % 45.85/46.25 (step @p261 :rule nary_cong :premises (@p198 @p195 @p260 @p199 @p252 @p251 @p250 @p249 @p248 @p247 @p246 @p245 @p229 @p113 @p228) :args (@t356)) % 45.85/46.25 (step @p262 :rule trans :premises (@p261 @p215)) % 45.85/46.25 (step @p263 :rule cong :premises (@p262) :args ((forall @t337 @t356))) % 45.85/46.25 (step @p264 :rule trans :premises (@p263 @p214)) % 45.85/46.25 (step @p265 :rule quant-var-elim-eq :args ((= (forall @t370 @t369) @t356))) % 45.85/46.25 (step @p266 :rule aci_norm :args ((= @t371 @t369))) % 45.85/46.25 (step @p267 :rule cong :premises (@p266) :args (@t372)) % 45.85/46.25 (step @p268 :rule trans :premises (@p267 @p265)) % 45.85/46.25 (step @p269 :rule cong :premises (@p268) :args (@t373)) % 45.85/46.25 (step @p270 :rule quant-merge-prenex :args ((= @t373 @t374))) % 45.85/46.25 (step @p271 :rule symm :premises (@p270)) % 45.85/46.25 (step @p272 :rule quant_var_reordering :args ((= @t376 @t374))) % 45.85/46.25 (step @p273 :rule trans :premises (@p272 @p271 @p269)) % 45.85/46.25 (step @p274 :rule trans :premises (@p273 @p264)) % 45.85/46.25 (step @p275 :rule refl :args (@t255)) % 45.85/46.25 (step @p276 :rule nary_cong :premises (@p275 @p274) :args (@t377)) % 45.85/46.25 (step @p277 :rule trans :premises (@p276 @p106)) % 45.85/46.25 (step @p278 :rule quant-miniscope-or :args ((= (forall @t375 @t378) @t377))) % 45.85/46.25 (step @p279 :rule aci_norm :args ((= @t379 @t378))) % 45.85/46.25 (step @p280 :rule cong :premises (@p279) :args ((forall @t375 @t379))) % 45.85/46.25 (step @p281 :rule trans :premises (@p280 @p278)) % 45.85/46.25 (step @p282 :rule trans :premises (@p281 @p277)) % 45.85/46.25 (step @p283 :rule aci_norm :args ((= (or @t255 false @t368 @t331 @t211 @t330 @t367 @t329 @t326 @t319 @t309 @t365 @t364 @t363 @t306 @t358 @t357) @t379))) % 45.85/46.25 (step @p284 :rule refl :args (@t357)) % 45.85/46.25 (step @p285 :rule refl :args (@t358)) % 45.85/46.25 (step @p286 :rule refl :args (@t363)) % 45.85/46.25 (step @p287 :rule refl :args (@t364)) % 45.85/46.25 (step @p288 :rule refl :args (@t365)) % 45.85/46.25 (step @p289 :rule eq-symm :args (@t251 @t328)) % 45.85/46.25 (step @p290 :rule cong :premises (@p289) :args (@t380)) % 45.85/46.25 (step @p291 :rule cong :premises (@p290) :args (@t381)) % 45.85/46.25 (step @p292 :rule refl :args (@t367)) % 45.85/46.25 (step @p293 :rule refl :args (@t368)) % 45.85/46.25 (step @p294 :rule eq-refl :args (tptp.n1)) % 45.85/46.25 (step @p295 :rule cong :premises (@p294) :args (@t382)) % 45.85/46.25 (step @p296 :rule trans :premises (@p295 @p192)) % 45.85/46.25 (step @p297 :rule nary_cong :premises (@p275 @p296 @p293 @p252 @p251 @p250 @p292 @p291 @p248 @p247 @p246 @p288 @p287 @p286 @p229 @p285 @p284) :args (@t383)) % 45.85/46.25 (step @p298 :rule trans :premises (@p297 @p283)) % 45.85/46.25 (step @p299 :rule cong :premises (@p298) :args ((forall @t375 @t383))) % 45.85/46.25 (step @p300 :rule trans :premises (@p299 @p282)) % 45.85/46.25 (step @p301 :rule quant-var-elim-eq :args ((= (forall @t392 (or (not @t200) @t391 @t389 @t368 @t331 @t211 @t387 @t367 @t385 @t326 @t319 @t309 @t365 @t364 @t363 @t306 @t358 @t357)) @t383))) % 45.85/46.25 (step @p302 :rule refl :args (@t357)) % 45.85/46.25 (step @p303 :rule refl :args (@t358)) % 45.85/46.25 (step @p304 :rule refl :args (@t306)) % 45.85/46.25 (step @p305 :rule refl :args (@t363)) % 45.85/46.25 (step @p306 :rule refl :args (@t364)) % 45.85/46.25 (step @p307 :rule refl :args (@t365)) % 45.85/46.25 (step @p308 :rule refl :args (@t309)) % 45.85/46.25 (step @p309 :rule refl :args (@t319)) % 45.85/46.25 (step @p310 :rule refl :args (@t326)) % 45.85/46.25 (step @p311 :rule refl :args (@t385)) % 45.85/46.25 (step @p312 :rule refl :args (@t367)) % 45.85/46.25 (step @p313 :rule refl :args (@t387)) % 45.85/46.25 (step @p314 :rule refl :args (@t211)) % 45.85/46.25 (step @p315 :rule refl :args (@t331)) % 45.85/46.25 (step @p316 :rule refl :args (@t368)) % 45.85/46.25 (step @p317 :rule refl :args (@t389)) % 45.85/46.25 (step @p318 :rule refl :args (@t391)) % 45.85/46.25 (step @p319 :rule arith_poly_norm :args ((= @t394 @t393))) % 45.85/46.25 (step @p320 :rule arith_poly_norm_rel :premises (@p319) :args ((= @t388 @t200))) % 45.85/46.25 (step @p321 :rule cong :premises (@p320) :args (@t389)) % 45.85/46.25 (step @p322 :rule nary_cong :premises (@p321 @p318 @p317 @p316 @p315 @p314 @p313 @p312 @p311 @p310 @p309 @p308 @p307 @p306 @p305 @p304 @p303 @p302) :args (@t395)) % 45.85/46.25 (step @p323 :rule aci_norm :args ((= @t396 @t395))) % 45.85/46.25 (step @p324 :rule trans :premises (@p323 @p322)) % 45.85/46.25 (step @p325 :rule cong :premises (@p324) :args (@t397)) % 45.85/46.25 (step @p326 :rule trans :premises (@p325 @p301)) % 45.85/46.25 (step @p327 :rule cong :premises (@p326) :args (@t398)) % 45.85/46.25 (step @p328 :rule quant-merge-prenex :args ((= @t398 @t399))) % 45.85/46.25 (step @p329 :rule symm :premises (@p328)) % 45.85/46.25 (step @p330 :rule quant_var_reordering :args ((= (forall @t400 @t396) @t399))) % 45.85/46.25 (step @p331 :rule trans :premises (@p330 @p329 @p327)) % 45.85/46.25 (step @p332 :rule trans :premises (@p331 @p300)) % 45.85/46.25 (step @p333 :rule aci_norm :args ((= @t402 @t396))) % 45.85/46.25 (step @p334 :rule cong :premises (@p333) :args (@t403)) % 45.85/46.25 (step @p335 :rule trans :premises (@p334 @p332)) % 45.85/46.25 (step @p336 :rule quant-merge-prenex :args ((= (forall @t203 @t405) @t403))) % 45.85/46.25 (step @p337 :rule alpha_equiv :args (@t406 (@list @t221 @t216 @t232 @t219) (@list @t130 @t125 @t145 @t407))) % 45.85/46.25 (step @p338 :rule nary_cong :premises (@p318 @p317 @p316 @p315 @p314 @p313 @p312 @p311 @p310 @p309 @p308 @p337) :args (@t408)) % 45.85/46.25 (step @p339 :rule quant-miniscope-or :args ((= @t405 @t408))) % 45.85/46.25 (step @p340 :rule trans :premises (@p339 @p338)) % 45.85/46.25 (step @p341 :rule symm :premises (@p340)) % 45.85/46.25 (step @p342 :rule cong :premises (@p341) :args ((forall @t203 @t428))) % 45.85/46.25 (step @p343 :rule trans :premises (@p342 @p336)) % 45.85/46.25 (step @p344 :rule trans :premises (@p343 @p335)) % 45.85/46.25 (step @p345 :rule aci_norm :args ((= (or @t430 @t429) @t428))) % 45.85/46.25 (step @p346 :rule aci_norm :args ((= (or @t431 @t427) @t429))) % 45.85/46.25 (step @p347 :rule refl :args (@t427)) % 45.85/46.25 (step @p348 :rule aci_norm :args ((= (or @t211 (or @t387 (or @t367 (or @t385 (or @t326 (or @t319 @t309)))))) @t431))) % 45.85/46.25 (step @p349 :rule bool-and-de-morgan :args (@t318 @t162 true)) % 45.85/46.25 (step @p350 :rule nary_cong :premises (@p310 @p349) :args ((or @t326 (not (and @t318 @t162))))) % 45.85/46.25 (step @p351 :rule bool-and-de-morgan :args (@t325 @t318 (and @t162))) % 45.85/46.25 (step @p352 :rule trans :premises (@p351 @p350)) % 45.85/46.25 (step @p353 :rule nary_cong :premises (@p311 @p352) :args ((or @t385 (not (and @t325 @t318 @t162))))) % 45.85/46.25 (step @p354 :rule bool-and-de-morgan :args (@t384 @t325 (and @t318 @t162))) % 45.85/46.25 (step @p355 :rule trans :premises (@p354 @p353)) % 45.85/46.25 (step @p356 :rule nary_cong :premises (@p312 @p355) :args ((or @t367 (not (and @t384 @t325 @t318 @t162))))) % 45.85/46.25 (step @p357 :rule bool-and-de-morgan :args (@t366 @t384 (and @t325 @t318 @t162))) % 45.85/46.25 (step @p358 :rule trans :premises (@p357 @p356)) % 45.85/46.25 (step @p359 :rule nary_cong :premises (@p313 @p358) :args ((or @t387 (not (and @t366 @t384 @t325 @t318 @t162))))) % 45.85/46.25 (step @p360 :rule bool-and-de-morgan :args (@t386 @t366 (and @t384 @t325 @t318 @t162))) % 45.85/46.25 (step @p361 :rule trans :premises (@p360 @p359)) % 45.85/46.25 (step @p362 :rule nary_cong :premises (@p314 @p361) :args ((or @t211 (not (and @t386 @t366 @t384 @t325 @t318 @t162))))) % 45.85/46.25 (step @p363 :rule bool-and-de-morgan :args (@t210 @t386 (and @t366 @t384 @t325 @t318 @t162))) % 45.85/46.25 (step @p364 :rule trans :premises (@p363 @p362)) % 45.85/46.25 (step @p365 :rule trans :premises (@p364 @p348)) % 45.85/46.25 (step @p366 :rule nary_cong :premises (@p365 @p347) :args ((or (not @t432) @t427))) % 45.85/46.25 (step @p367 :rule trans :premises (@p366 @p346)) % 45.85/46.25 (step @p368 :rule bool-impl-elim :args (@t432 @t427)) % 45.85/46.25 (step @p369 :rule trans :premises (@p368 @p367)) % 45.85/46.25 (step @p370 :rule aci_norm :args ((= (or @t391 (or @t389 (or @t368 @t331))) @t430))) % 45.85/46.25 (step @p371 :rule bool-and-de-morgan :args (@t199 @t198 true)) % 45.85/46.25 (step @p372 :rule nary_cong :premises (@p317 @p371) :args ((or @t389 (not (and @t199 @t198))))) % 45.85/46.25 (step @p373 :rule bool-and-de-morgan :args (@t388 @t199 (and @t198))) % 45.85/46.25 (step @p374 :rule trans :premises (@p373 @p372)) % 45.85/46.25 (step @p375 :rule nary_cong :premises (@p318 @p374) :args ((or @t391 (not (and @t388 @t199 @t198))))) % 45.85/46.25 (step @p376 :rule bool-and-de-morgan :args (@t390 @t388 (and @t199 @t198))) % 45.85/46.25 (step @p377 :rule trans :premises (@p376 @p375)) % 45.85/46.25 (step @p378 :rule trans :premises (@p377 @p370)) % 45.85/46.25 (step @p379 :rule nary_cong :premises (@p378 @p369) :args ((or (not @t434) @t433))) % 45.85/46.25 (step @p380 :rule trans :premises (@p379 @p345)) % 45.85/46.25 (step @p381 :rule bool-impl-elim :args (@t434 @t433)) % 45.85/46.25 (step @p382 :rule trans :premises (@p381 @p380)) % 45.85/46.25 (step @p383 :rule cong :premises (@p382) :args ((forall @t203 (=> @t434 @t433)))) % 45.85/46.25 (step @p384 :rule trans :premises (@p383 @p344)) % 45.85/46.25 (step @p385 :rule aci_norm :args ((= (or @t424 false @t422 @t421 @t415 @t414 @t413) @t425))) % 45.85/46.25 (step @p386 :rule refl :args (@t413)) % 45.85/46.25 (step @p387 :rule refl :args (@t414)) % 45.85/46.25 (step @p388 :rule refl :args (@t415)) % 45.85/46.25 (step @p389 :rule eq-symm :args (@t416 @t420)) % 45.85/46.25 (step @p390 :rule cong :premises (@p389) :args (@t435)) % 45.85/46.25 (step @p391 :rule cong :premises (@p390) :args (@t436)) % 45.85/46.25 (step @p392 :rule refl :args (@t422)) % 45.85/46.25 (step @p393 :rule eq-refl :args (@t80)) % 45.85/46.25 (step @p394 :rule cong :premises (@p393) :args (@t437)) % 45.85/46.25 (step @p395 :rule trans :premises (@p394 @p192)) % 45.85/46.25 (step @p396 :rule refl :args (@t424)) % 45.85/46.25 (step @p397 :rule nary_cong :premises (@p396 @p395 @p392 @p391 @p388 @p387 @p386) :args (@t438)) % 45.85/46.25 (step @p398 :rule trans :premises (@p397 @p385)) % 45.85/46.25 (step @p399 :rule cong :premises (@p398) :args ((forall @t426 @t438))) % 45.85/46.25 (step @p400 :rule quant-var-elim-eq :args ((= (forall @t444 (or (not @t156) @t424 @t443 @t422 @t441 @t439 @t414 @t413)) @t438))) % 45.85/46.25 (step @p401 :rule refl :args (@t413)) % 45.85/46.25 (step @p402 :rule refl :args (@t414)) % 45.85/46.25 (step @p403 :rule refl :args (@t439)) % 45.85/46.25 (step @p404 :rule refl :args (@t441)) % 45.85/46.25 (step @p405 :rule refl :args (@t422)) % 45.85/46.25 (step @p406 :rule refl :args (@t443)) % 45.85/46.25 (step @p407 :rule refl :args (@t424)) % 45.85/46.25 (step @p408 :rule arith_poly_norm :args ((= @t446 @t445))) % 45.85/46.25 (step @p409 :rule arith_poly_norm_rel :premises (@p408) :args ((= @t442 @t156))) % 45.85/46.25 (step @p410 :rule cong :premises (@p409) :args (@t443)) % 45.85/46.25 (step @p411 :rule nary_cong :premises (@p410 @p407 @p406 @p405 @p404 @p403 @p402 @p401) :args (@t447)) % 45.85/46.25 (step @p412 :rule aci_norm :args ((= @t448 @t447))) % 45.85/46.25 (step @p413 :rule trans :premises (@p412 @p411)) % 45.85/46.25 (step @p414 :rule cong :premises (@p413) :args (@t449)) % 45.85/46.25 (step @p415 :rule trans :premises (@p414 @p400)) % 45.85/46.25 (step @p416 :rule cong :premises (@p415) :args (@t450)) % 45.85/46.25 (step @p417 :rule quant-merge-prenex :args ((= @t450 @t451))) % 45.85/46.25 (step @p418 :rule symm :premises (@p417)) % 45.85/46.25 (step @p419 :rule quant_var_reordering :args ((= @t452 @t451))) % 45.85/46.25 (step @p420 :rule trans :premises (@p419 @p418 @p416)) % 45.85/46.25 (step @p421 :rule trans :premises (@p420 @p399)) % 45.85/46.25 (step @p422 :rule quant-merge-prenex :args ((= (forall @t160 @t454) @t452))) % 45.85/46.25 (step @p423 :rule alpha_equiv :args (@t455 (@list @t407) (@list @t106))) % 45.85/46.25 (step @p424 :rule quant-unused-vars :args ((= @t456 @t138))) % 45.85/46.25 (step @p425 :rule quant-unused-vars :args ((= @t457 @t199))) % 45.85/46.25 (step @p426 :rule nary_cong :premises (@p425 @p424 @p423) :args (@t458)) % 45.85/46.25 (step @p427 :rule quant-miniscope-and :args ((= @t459 @t458))) % 45.85/46.25 (step @p428 :rule trans :premises (@p427 @p426)) % 45.85/46.25 (step @p429 :rule nary_cong :premises (@p407 @p406 @p405 @p404 @p403 @p402 @p428) :args (@t460)) % 45.85/46.25 (step @p430 :rule quant-miniscope-or :args ((= @t454 @t460))) % 45.85/46.25 (step @p431 :rule trans :premises (@p430 @p429)) % 45.85/46.25 (step @p432 :rule symm :premises (@p431)) % 45.85/46.25 (step @p433 :rule cong :premises (@p432) :args ((forall @t160 @t462))) % 45.85/46.25 (step @p434 :rule trans :premises (@p433 @p422)) % 45.85/46.25 (step @p435 :rule trans :premises (@p434 @p421)) % 45.85/46.25 (step @p436 :rule aci_norm :args ((= (or (or @t424 @t443 @t422 @t441 @t439 @t414) @t461) @t462))) % 45.85/46.25 (step @p437 :rule refl :args (@t461)) % 45.85/46.25 (step @p438 :rule bool-double-not-elim :args (@t424)) % 45.85/46.25 (step @p439 :rule nary_cong :premises (@p438 @p406 @p405 @p404 @p403 @p402) :args (@t465)) % 45.85/46.25 (step @p440 :rule aci_norm :args ((= (or @t464 (or @t443 (or @t422 (or @t441 (or @t439 @t414))))) @t465))) % 45.85/46.25 (step @p441 :rule trans :premises (@p440 @p439)) % 45.85/46.25 (step @p442 :rule bool-and-de-morgan :args (@t149 @t143 true)) % 45.85/46.25 (step @p443 :rule nary_cong :premises (@p404 @p442) :args ((or @t441 (not (and @t149 @t143))))) % 45.85/46.25 (step @p444 :rule bool-and-de-morgan :args (@t440 @t149 (and @t143))) % 45.85/46.25 (step @p445 :rule trans :premises (@p444 @p443)) % 45.85/46.25 (step @p446 :rule nary_cong :premises (@p405 @p445) :args ((or @t422 (not (and @t440 @t149 @t143))))) % 45.85/46.25 (step @p447 :rule bool-and-de-morgan :args (@t155 @t440 (and @t149 @t143))) % 45.85/46.25 (step @p448 :rule trans :premises (@p447 @p446)) % 45.85/46.25 (step @p449 :rule nary_cong :premises (@p406 @p448) :args ((or @t443 (not (and @t155 @t440 @t149 @t143))))) % 45.85/46.25 (step @p450 :rule bool-and-de-morgan :args (@t442 @t155 (and @t440 @t149 @t143))) % 45.85/46.25 (step @p451 :rule trans :premises (@p450 @p449)) % 45.85/46.25 (step @p452 :rule refl :args (@t464)) % 45.85/46.25 (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or @t464 (not (and @t442 @t155 @t440 @t149 @t143))))) % 45.85/46.25 (step @p454 :rule bool-and-de-morgan :args (@t463 @t442 (and @t155 @t440 @t149 @t143))) % 45.85/46.25 (step @p455 :rule trans :premises (@p454 @p453)) % 45.85/46.25 (step @p456 :rule trans :premises (@p455 @p441)) % 45.85/46.25 (step @p457 :rule nary_cong :premises (@p456 @p437) :args ((or (not @t466) @t461))) % 45.85/46.25 (step @p458 :rule trans :premises (@p457 @p436)) % 45.85/46.25 (step @p459 :rule bool-impl-elim :args (@t466 @t461)) % 45.85/46.25 (step @p460 :rule trans :premises (@p459 @p458)) % 45.85/46.25 (step @p461 :rule cong :premises (@p460) :args ((forall @t160 (=> @t466 @t461)))) % 45.85/46.25 (step @p462 :rule trans :premises (@p461 @p435)) % 45.85/46.25 (step @p463 :rule refl :args (@t417)) % 45.85/46.25 (step @p464 :rule bool-double-not-elim :args (@t411)) % 45.85/46.25 (step @p465 :rule refl :args (@t226)) % 45.85/46.25 (step @p466 :rule nary_cong :premises (@p465 @p464 @p463) :args (@t469)) % 45.85/46.25 (step @p467 :rule aci_norm :args ((= (or @t226 (or @t468 @t417)) @t469))) % 45.85/46.25 (step @p468 :rule trans :premises (@p467 @p466)) % 45.85/46.25 (step @p469 :rule bool-and-de-morgan :args (@t467 @t128 true)) % 45.85/46.25 (step @p470 :rule nary_cong :premises (@p465 @p469) :args ((or @t226 (not (and @t467 @t128))))) % 45.85/46.25 (step @p471 :rule bool-and-de-morgan :args (@t225 @t467 (and @t128))) % 45.85/46.25 (step @p472 :rule trans :premises (@p471 @p470)) % 45.85/46.25 (step @p473 :rule trans :premises (@p472 @p468)) % 45.85/46.25 (step @p474 :rule cong :premises (@p473) :args (@t471)) % 45.85/46.25 (step @p475 :rule cong :premises (@p474) :args (@t472)) % 45.85/46.25 (step @p476 :rule exists-elim :args ((= (exists @t54 @t470) @t472))) % 45.85/46.25 (step @p477 :rule trans :premises (@p476 @p475)) % 45.85/46.25 (step @p478 :rule refl :args (@t128)) % 45.85/46.25 (step @p479 :rule arith_poly_norm :args ((= (* 1 (- @t52 @t473)) (* 1 (- @t410 0))))) % 45.85/46.25 (step @p480 :rule arith_poly_norm_rel :premises (@p479) :args ((= (>= @t52 @t473) @t411))) % 45.85/46.25 (step @p481 :rule arith_poly_norm :args ((= @t474 @t473))) % 45.85/46.25 (step @p482 :rule arith_poly_norm :args ((= @t131 @t474))) % 45.85/46.25 (step @p483 :rule trans :premises (@p482 @p481)) % 45.85/46.25 (step @p484 :rule cong :premises (@p130 @p483) :args (@t475)) % 45.85/46.25 (step @p485 :rule trans :premises (@p484 @p480)) % 45.85/46.25 (step @p486 :rule cong :premises (@p485) :args ((not @t475))) % 45.85/46.25 (step @p487 :rule arith-elim-lt :args (@t52 @t131)) % 45.85/46.25 (step @p488 :rule trans :premises (@p487 @p486)) % 45.85/46.25 (step @p489 :rule arith-elim-leq :args (0 @t52)) % 45.85/46.25 (step @p490 :rule nary_cong :premises (@p489 @p488 @p478) :args (@t132)) % 45.85/46.25 (step @p491 :rule cong :premises (@p490) :args (@t133)) % 45.85/46.25 (step @p492 :rule trans :premises (@p491 @p477)) % 45.85/46.25 (step @p493 :rule refl :args (@t134)) % 45.85/46.25 (step @p494 :rule cong :premises (@p493 @p492) :args (@t135)) % 45.85/46.25 (step @p495 :rule cong :premises (@p494) :args (@t137)) % 45.85/46.25 (step @p496 :rule refl :args (@t138)) % 45.85/46.25 (step @p497 :rule arith_poly_norm :args ((= (* 1 (- @t473 @t130)) (* -1 (- @t129 0))))) % 45.85/46.25 (step @p498 :rule arith_poly_norm_rel :premises (@p497) :args ((= (= @t473 @t130) @t199))) % 45.85/46.25 (step @p499 :rule refl :args (@t130)) % 45.85/46.25 (step @p500 :rule cong :premises (@p483 @p499) :args (@t139)) % 45.85/46.25 (step @p501 :rule trans :premises (@p500 @p498)) % 45.85/46.25 (step @p502 :rule nary_cong :premises (@p501 @p496 @p495) :args (@t140)) % 45.85/46.25 (step @p503 :rule refl :args (@t143)) % 45.85/46.25 (step @p504 :rule refl :args (@t149)) % 45.85/46.25 (step @p505 :rule bool-double-not-elim :args (@t419)) % 45.85/46.25 (step @p506 :rule refl :args (@t362)) % 45.85/46.25 (step @p507 :rule nary_cong :premises (@p506 @p505 @p463) :args (@t478)) % 45.85/46.25 (step @p508 :rule aci_norm :args ((= (or @t362 (or @t477 @t417)) @t478))) % 45.85/46.25 (step @p509 :rule trans :premises (@p508 @p507)) % 45.85/46.25 (step @p510 :rule bool-and-de-morgan :args (@t476 @t128 true)) % 45.85/46.25 (step @p511 :rule nary_cong :premises (@p506 @p510) :args ((or @t362 (not (and @t476 @t128))))) % 45.85/46.25 (step @p512 :rule bool-and-de-morgan :args (@t361 @t476 (and @t128))) % 45.85/46.25 (step @p513 :rule trans :premises (@p512 @p511)) % 45.85/46.25 (step @p514 :rule trans :premises (@p513 @p509)) % 45.85/46.25 (step @p515 :rule cong :premises (@p514) :args (@t480)) % 45.85/46.25 (step @p516 :rule cong :premises (@p515) :args (@t481)) % 45.85/46.25 (step @p517 :rule exists-elim :args ((= (exists @t54 @t479) @t481))) % 45.85/46.25 (step @p518 :rule trans :premises (@p517 @p516)) % 45.85/46.25 (step @p519 :rule arith_poly_norm :args ((= (* 1 (- @t52 @t130)) (* 1 (- @t418 0))))) % 45.85/46.25 (step @p520 :rule arith_poly_norm_rel :premises (@p519) :args ((= @t482 @t419))) % 45.85/46.25 (step @p521 :rule cong :premises (@p520) :args ((not @t482))) % 45.85/46.25 (step @p522 :rule arith-elim-lt :args (@t52 @t130)) % 45.85/46.25 (step @p523 :rule trans :premises (@p522 @p521)) % 45.85/46.25 (step @p524 :rule arith_poly_norm :args ((= (* 1 (- @t52 @t129)) (* 1 (- @t360 0))))) % 45.85/46.25 (step @p525 :rule arith_poly_norm_rel :premises (@p524) :args ((= (>= @t52 @t129) @t361))) % 45.85/46.25 (step @p526 :rule arith-elim-leq :args (@t129 @t52)) % 45.85/46.25 (step @p527 :rule trans :premises (@p526 @p525)) % 45.85/46.25 (step @p528 :rule nary_cong :premises (@p527 @p523 @p478) :args (@t150)) % 45.85/46.25 (step @p529 :rule cong :premises (@p528) :args (@t151)) % 45.85/46.25 (step @p530 :rule trans :premises (@p529 @p518)) % 45.85/46.25 (step @p531 :rule refl :args (@t152)) % 45.85/46.25 (step @p532 :rule cong :premises (@p531 @p530) :args (@t153)) % 45.85/46.25 (step @p533 :rule cong :premises (@p532) :args (@t154)) % 45.85/46.25 (step @p534 :rule refl :args (@t155)) % 45.85/46.25 (step @p535 :rule arith_poly_norm :args ((= @t445 @t446))) % 45.85/46.25 (step @p536 :rule arith_poly_norm_rel :premises (@p535) :args ((= @t156 @t442))) % 45.85/46.25 (step @p537 :rule arith_poly_norm :args ((= (* -1 (- 0 @t483)) (* -1 (- @t423 1))))) % 45.85/46.25 (step @p538 :rule arith_poly_norm_rel :premises (@p537) :args ((= @t484 @t424))) % 45.85/46.25 (step @p539 :rule cong :premises (@p538) :args ((not @t484))) % 45.85/46.25 (step @p540 :rule arith-leq-norm :args (0 @t473)) % 45.85/46.25 (step @p541 :rule trans :premises (@p540 @p539)) % 45.85/46.25 (step @p542 :rule cong :premises (@p218 @p483) :args (@t157)) % 45.85/46.25 (step @p543 :rule trans :premises (@p542 @p541)) % 45.85/46.25 (step @p544 :rule nary_cong :premises (@p543 @p536 @p534 @p533 @p504 @p503) :args (@t158)) % 45.85/46.25 (step @p545 :rule cong :premises (@p544 @p502) :args (@t159)) % 45.85/46.25 (step @p546 :rule cong :premises (@p545) :args (@t161)) % 45.85/46.25 (step @p547 :rule trans :premises (@p546 @p462)) % 45.85/46.25 (step @p548 :rule refl :args (@t162)) % 45.85/46.25 (step @p549 :rule bool-impl-elim :args (@t225 @t317)) % 45.85/46.25 (step @p550 :rule cong :premises (@p549) :args ((forall @t54 (=> @t225 @t317)))) % 45.85/46.25 (step @p551 :rule aci_norm :args ((= (or @t485 @t312) @t316))) % 45.85/46.25 (step @p552 :rule refl :args (@t312)) % 45.85/46.25 (step @p553 :rule bool-and-de-morgan :args (@t261 @t314 true)) % 45.85/46.25 (step @p554 :rule nary_cong :premises (@p553 @p552) :args ((or @t487 @t312))) % 45.85/46.25 (step @p555 :rule trans :premises (@p554 @p551)) % 45.85/46.25 (step @p556 :rule bool-impl-elim :args (@t486 @t312)) % 45.85/46.25 (step @p557 :rule trans :premises (@p556 @p555)) % 45.85/46.25 (step @p558 :rule cong :premises (@p557) :args ((forall @t104 (=> @t486 @t312)))) % 45.85/46.25 (step @p559 :rule arith_poly_norm :args ((= (* 1 (- @t165 @t488)) (* -1 (- @t52 @t310))))) % 45.85/46.25 (step @p560 :rule arith_poly_norm_rel :premises (@p559) :args ((= (= @t165 @t488) @t311))) % 45.85/46.25 (step @p561 :rule arith_poly_norm :args ((= @t489 @t488))) % 45.85/46.25 (step @p562 :rule arith_poly_norm :args ((= @t490 @t489))) % 45.85/46.25 (step @p563 :rule trans :premises (@p562 @p561)) % 45.85/46.25 (step @p564 :rule arith_poly_norm :args ((= @t164 @t490))) % 45.85/46.25 (step @p565 :rule trans :premises (@p564 @p563)) % 45.85/46.25 (step @p566 :rule cong :premises (@p125 @p565) :args (@t166)) % 45.85/46.25 (step @p567 :rule trans :premises (@p566 @p560)) % 45.85/46.25 (step @p568 :rule cong :premises (@p567) :args (@t167)) % 45.85/46.25 (step @p569 :rule bool-double-not-elim :args (@t314)) % 45.85/46.25 (step @p570 :rule arith_poly_norm :args ((= (* -1 (- 1 @t491)) (* -1 (- @t96 @t80))))) % 45.85/46.25 (step @p571 :rule arith_poly_norm_rel :premises (@p570) :args ((= (>= 1 @t491) @t492))) % 45.85/46.25 (step @p572 :rule arith-geq-tighten :args (@t313 1)) % 45.85/46.25 (step @p573 :rule trans :premises (@p572 @p571)) % 45.85/46.25 (step @p574 :rule symm :premises (@p573)) % 45.85/46.25 (step @p575 :rule cong :premises (@p574) :args ((not @t492))) % 45.85/46.25 (step @p576 :rule trans :premises (@p575 @p569)) % 45.85/46.25 (step @p577 :rule arith-elim-lt :args (@t96 @t80)) % 45.85/46.25 (step @p578 :rule trans :premises (@p577 @p576)) % 45.85/46.25 (step @p579 :rule arith-elim-leq :args (0 @t96)) % 45.85/46.25 (step @p580 :rule nary_cong :premises (@p579 @p578) :args (@t168)) % 45.85/46.25 (step @p581 :rule cong :premises (@p580 @p568) :args (@t169)) % 45.85/46.25 (step @p582 :rule cong :premises (@p581) :args (@t170)) % 45.85/46.25 (step @p583 :rule trans :premises (@p582 @p558)) % 45.85/46.25 (step @p584 :rule cong :premises (@p149 @p583) :args (@t172)) % 45.85/46.25 (step @p585 :rule cong :premises (@p489 @p584) :args (@t173)) % 45.85/46.25 (step @p586 :rule cong :premises (@p585) :args (@t174)) % 45.85/46.25 (step @p587 :rule trans :premises (@p586 @p550)) % 45.85/46.25 (step @p588 :rule bool-impl-elim :args (@t225 @t324)) % 45.85/46.25 (step @p589 :rule cong :premises (@p588) :args ((forall @t54 (=> @t225 @t324)))) % 45.85/46.25 (step @p590 :rule aci_norm :args ((= (or @t485 @t322) @t323))) % 45.85/46.25 (step @p591 :rule refl :args (@t322)) % 45.85/46.25 (step @p592 :rule nary_cong :premises (@p553 @p591) :args ((or @t487 @t322))) % 45.85/46.25 (step @p593 :rule trans :premises (@p592 @p590)) % 45.85/46.25 (step @p594 :rule bool-impl-elim :args (@t486 @t322)) % 45.85/46.25 (step @p595 :rule trans :premises (@p594 @p593)) % 45.85/46.25 (step @p596 :rule cong :premises (@p595) :args ((forall @t104 (=> @t486 @t322)))) % 45.85/46.25 (step @p597 :rule arith_poly_norm :args ((= (* 1 (- @t165 @t493)) (* -1 (- @t52 @t320))))) % 45.85/46.25 (step @p598 :rule arith_poly_norm_rel :premises (@p597) :args ((= (= @t165 @t493) @t321))) % 45.85/46.25 (step @p599 :rule arith_poly_norm :args ((= @t494 @t493))) % 45.85/46.25 (step @p600 :rule arith_poly_norm :args ((= @t495 @t494))) % 45.85/46.25 (step @p601 :rule trans :premises (@p600 @p599)) % 45.85/46.25 (step @p602 :rule arith_poly_norm :args ((= @t176 @t495))) % 45.85/46.25 (step @p603 :rule trans :premises (@p602 @p601)) % 45.85/46.25 (step @p604 :rule cong :premises (@p125 @p603) :args (@t177)) % 45.85/46.25 (step @p605 :rule trans :premises (@p604 @p598)) % 45.85/46.25 (step @p606 :rule cong :premises (@p605) :args (@t178)) % 45.85/46.25 (step @p607 :rule cong :premises (@p580 @p606) :args (@t179)) % 45.85/46.25 (step @p608 :rule cong :premises (@p607) :args (@t180)) % 45.85/46.25 (step @p609 :rule trans :premises (@p608 @p596)) % 45.85/46.25 (step @p610 :rule cong :premises (@p149 @p609) :args (@t181)) % 45.85/46.25 (step @p611 :rule cong :premises (@p489 @p610) :args (@t182)) % 45.85/46.25 (step @p612 :rule cong :premises (@p611) :args (@t183)) % 45.85/46.25 (step @p613 :rule trans :premises (@p612 @p589)) % 45.85/46.25 (step @p614 :rule aci_norm :args ((= (or @t485 @t292) @t327))) % 45.85/46.25 (step @p615 :rule refl :args (@t292)) % 45.85/46.25 (step @p616 :rule nary_cong :premises (@p553 @p615) :args ((or @t487 @t292))) % 45.85/46.25 (step @p617 :rule trans :premises (@p616 @p614)) % 45.85/46.25 (step @p618 :rule bool-impl-elim :args (@t486 @t292)) % 45.85/46.25 (step @p619 :rule trans :premises (@p618 @p617)) % 45.85/46.25 (step @p620 :rule cong :premises (@p619) :args ((forall @t104 (=> @t486 @t292)))) % 45.85/46.25 (step @p621 :rule arith_poly_norm :args ((= (* 1 (- @t165 @t52)) (* -1 (- @t52 @t165))))) % 45.85/46.25 (step @p622 :rule arith_poly_norm_rel :premises (@p621) :args ((= @t184 @t291))) % 45.85/46.25 (step @p623 :rule cong :premises (@p622) :args (@t185)) % 45.85/46.25 (step @p624 :rule cong :premises (@p580 @p623) :args (@t186)) % 45.85/46.25 (step @p625 :rule cong :premises (@p624) :args (@t187)) % 45.85/46.25 (step @p626 :rule trans :premises (@p625 @p620)) % 45.85/46.25 (step @p627 :rule arith_poly_norm :args ((= (* 1 (- @t52 tptp.n1)) (* 1 (- @t246 0))))) % 45.85/46.25 (step @p628 :rule arith_poly_norm_rel :premises (@p627) :args ((= @t496 @t247))) % 45.85/46.25 (step @p629 :rule cong :premises (@p628) :args ((not @t496))) % 45.85/46.25 (step @p630 :rule arith-elim-lt :args (@t52 tptp.n1)) % 45.85/46.25 (step @p631 :rule trans :premises (@p630 @p629)) % 45.85/46.25 (step @p632 :rule nary_cong :premises (@p489 @p631 @p626) :args (@t188)) % 45.85/46.25 (step @p633 :rule refl :args (@t191)) % 45.85/46.25 (step @p634 :rule cong :premises (@p633 @p632) :args (@t192)) % 45.85/46.25 (step @p635 :rule cong :premises (@p634) :args (@t193)) % 45.85/46.25 (step @p636 :rule arith-elim-leq :args (0 @t129)) % 45.85/46.25 (step @p637 :rule arith_poly_norm :args ((= (* 1 (- @t194 tptp.n1)) (* -1 (- tptp.n1 @t194))))) % 45.85/46.25 (step @p638 :rule arith_poly_norm_rel :premises (@p637) :args ((= @t195 @t386))) % 45.85/46.25 (step @p639 :rule nary_cong :premises (@p97 @p638 @p636 @p635 @p613 @p587 @p548) :args (@t196)) % 45.85/46.25 (step @p640 :rule cong :premises (@p639 @p547) :args (@t197)) % 45.85/46.25 (step @p641 :rule refl :args (@t198)) % 45.85/46.25 (step @p642 :rule refl :args (@t199)) % 45.85/46.25 (step @p643 :rule arith_poly_norm :args ((= @t393 @t394))) % 45.85/46.25 (step @p644 :rule arith_poly_norm_rel :premises (@p643) :args ((= @t200 @t388))) % 45.85/46.25 (step @p645 :rule arith-elim-leq :args (0 @t189)) % 45.85/46.25 (step @p646 :rule nary_cong :premises (@p645 @p644 @p642 @p641) :args (@t201)) % 45.85/46.25 (step @p647 :rule cong :premises (@p646 @p640) :args (@t202)) % 45.85/46.25 (step @p648 :rule cong :premises (@p647) :args (@t204)) % 45.85/46.25 (step @p649 :rule trans :premises (@p648 @p384)) % 45.85/46.25 (step @p650 :rule cong :premises (@p649) :args (@t205)) % 45.85/46.25 (step @p651 :rule eq_resolve :premises (@p76 @p650)) % 45.85/46.25 (step @p652 :rule not_or_elim :premises (@p651) :args (4)) % 45.85/46.25 (step @p653 :rule skolemize :premises (@p652)) % 45.85/46.25 (step @p654 :rule bool-double-not-elim :args (@t503)) % 45.85/46.25 (step @p655 :rule refl :args (@t515)) % 45.85/46.25 (step @p656 :rule nary_cong :premises (@p655 @p654) :args ((or @t515 (not @t513)))) % 45.85/46.25 (step @p657 :rule cnf_or_neg :args (@t515 3)) % 45.85/46.25 (step @p658 :rule eq_resolve :premises (@p657 @p656)) % 45.85/46.25 (step @p659 :rule reordering :premises (@p658) :args ((or @t503 @t515))) % 45.85/46.25 (step @p660 :rule chain_m_resolution :premises (@p659 @p653) :args (@t503 @t516 @t517)) % 45.85/46.25 (step @p661 :rule instantiate :premises (@p660) :args ((@list @t504))) % 45.85/46.25 (step @p662 :rule cnf_or_neg :args (@t515 6)) % 45.85/46.25 (step @p663 :rule chain_m_resolution :premises (@p662 @p653) :args ((not @t511) @t516 @t517)) % 45.85/46.25 (step @p664 :rule bool-double-not-elim :args (@t510)) % 45.85/46.25 (step @p665 :rule nary_cong :premises (@p655 @p664) :args ((or @t515 (not @t514)))) % 45.85/46.25 (step @p666 :rule cnf_or_neg :args (@t515 2)) % 45.85/46.25 (step @p667 :rule eq_resolve :premises (@p666 @p665)) % 45.85/46.25 (step @p668 :rule reordering :premises (@p667) :args ((or @t510 @t515))) % 45.85/46.25 (step @p669 :rule chain_m_resolution :premises (@p668 @p653) :args (@t510 @t516 @t517)) % 45.85/46.25 (step @p670 :rule cnf_and_neg :args (@t511)) % 45.85/46.25 (step @p671 :rule reordering :premises (@p670) :args ((or @t514 @t511 @t518))) % 45.85/46.25 (step @p672 :rule chain_m_resolution :premises (@p671 @p669 @p663) :args (@t518 @t519 (@list @t510 @t511))) % 45.85/46.25 (step @p673 :rule bool-double-not-elim :args (@t506)) % 45.85/46.25 (step @p674 :rule refl :args (@t520)) % 45.85/46.25 (step @p675 :rule refl :args (@t509)) % 45.85/46.25 (step @p676 :rule nary_cong :premises (@p675 @p674 @p673) :args ((or @t509 @t520 @t521))) % 45.85/46.25 (step @p677 :rule cnf_equiv_neg2 :args (@t509)) % 45.85/46.25 (step @p678 :rule eq_resolve :premises (@p677 @p676)) % 45.85/46.25 (step @p679 :rule reordering :premises (@p678) :args ((or @t506 @t509 @t520))) % 45.85/46.25 (step @p680 :rule refl :args (@t523)) % 45.85/46.25 (step @p681 :rule refl :args (@t525)) % 45.85/46.25 (step @p682 :rule nary_cong :premises (@p681 @p673 @p680) :args ((or @t525 @t521 @t523))) % 45.85/46.25 (step @p683 :rule cnf_equiv_pos1 :args (@t524)) % 45.85/46.25 (step @p684 :rule eq_resolve :premises (@p683 @p682)) % 45.85/46.25 (step @p685 :rule reordering :premises (@p684) :args ((or @t506 @t523 @t525))) % 45.85/46.25 (step @p686 :rule cnf_and_pos :args (@t523 0)) % 45.85/46.25 (step @p687 :rule reordering :premises (@p686) :args ((or @t508 @t526))) % 45.85/46.25 (step @p688 :rule chain_m_resolution :premises (@p687 @p685 @p661 @p679 @p672) :args (@t506 (@list false false true true) (@list @t523 @t524 @t508 @t509))) % 45.85/46.25 (step @p689 :rule cnf_equiv_pos2 :args (@t524)) % 45.85/46.25 (step @p690 :rule reordering :premises (@p689) :args ((or @t507 @t526 @t525))) % 45.85/46.25 (step @p691 :rule chain_m_resolution :premises (@p690 @p688 @p661) :args (@t526 (@list false false) (@list @t506 @t524))) % 45.85/46.25 (step @p692 :rule cnf_equiv_neg1 :args (@t509)) % 45.85/46.25 (step @p693 :rule reordering :premises (@p692) :args ((or @t508 @t507 @t509))) % 45.85/46.25 (step @p694 :rule chain_m_resolution :premises (@p693 @p688 @p672) :args (@t508 @t519 (@list @t506 @t509))) % 45.85/46.25 (step @p695 :rule cnf_and_neg :args (@t523)) % 45.85/46.25 (step @p696 :rule reordering :premises (@p695) :args ((or @t520 @t523 @t527))) % 45.85/46.25 (step @p697 :rule chain_m_resolution :premises (@p696 @p694 @p691) :args (@t527 @t519 (@list @t508 @t523))) % 45.85/46.25 (step @p698 :rule bool-eq-true :args (@t522)) % 45.85/46.25 (step @p699 :rule quant-unused-vars :args ((= (forall @t87 true) true))) % 45.85/46.25 (step @p700 :rule bool-or-taut2 :args (false @t210 false (or @t528))) % 45.85/46.25 (step @p701 :rule cong :premises (@p700) :args ((forall @t87 (or @t211 @t210 @t528)))) % 45.85/46.25 (step @p702 :rule trans :premises (@p701 @p699)) % 45.85/46.25 (step @p703 :rule refl :args (@t528)) % 45.85/46.25 (step @p704 :rule bool-double-not-elim :args (@t210)) % 45.85/46.25 (step @p705 :rule arith_poly_norm :args ((= (* -1 (- 0 @t529)) (* -1 (- @t206 1))))) % 45.85/46.25 (step @p706 :rule arith_poly_norm_rel :premises (@p705) :args ((= (>= 0 @t529) (>= @t206 1)))) % 45.85/46.25 (step @p707 :rule arith-geq-tighten :args (@t80 0)) % 45.85/46.25 (step @p708 :rule trans :premises (@p707 @p706)) % 45.85/46.25 (step @p709 :rule symm :premises (@p708)) % 45.85/46.25 (step @p710 :rule arith_poly_norm :args ((= @t530 @t206))) % 45.85/46.25 (step @p711 :rule cong :premises (@p710 @p139) :args (@t531)) % 45.85/46.25 (step @p712 :rule trans :premises (@p711 @p709)) % 45.85/46.25 (step @p713 :rule cong :premises (@p712) :args (@t532)) % 45.85/46.25 (step @p714 :rule trans :premises (@p713 @p704)) % 45.85/46.25 (step @p715 :rule nary_cong :premises (@p251 @p714 @p703) :args (@t533)) % 45.85/46.25 (step @p716 :rule cong :premises (@p715) :args (@t534)) % 45.85/46.25 (step @p717 :rule trans :premises (@p716 @p702)) % 45.85/46.25 (step @p718 :rule refl :args (@t522)) % 45.85/46.25 (step @p719 :rule cong :premises (@p718 @p717) :args (@t535)) % 45.85/46.25 (step @p720 :rule trans :premises (@p719 @p698)) % 45.85/46.25 (step @p721 :rule refl :args (@t536)) % 45.85/46.25 (step @p722 :rule cong :premises (@p721 @p720) :args ((=> @t536 @t535))) % 45.85/46.25 (assume-push @p730 @t536) % 45.85/46.25 (step @p724 :rule instantiate :premises (@p105) :args ((@list tptp.int @t497 @t505 0))) % 45.85/46.25 (step-pop @p731 :rule scope :premises (@p724)) % 45.85/46.25 (step @p725 :rule process_scope :premises (@p731) :args (@t535)) % 45.85/46.25 (step @p727 :rule eq_resolve :premises (@p725 @p722)) % 45.85/46.25 (step @p728 :rule implies_elim :premises (@p727)) % 45.85/46.25 (step @p729 false :rule chain_m_resolution :premises (@p728 @p697 @p105) :args (false (@list true false) (@list @t522 @t536))) % 45.85/46.25 ) % 45.85/46.25 % SZS output end Proof % 45.85/46.25 % cvc5 exiting %------------------------------------------------------------------------------