%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW635_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 : n021.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 101.86s 102.04s % Output : Proof 101.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW635_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:22:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_ARI % 101.86/102.04 --- Run --finite-model-find --decision=internal at 45... % 101.86/102.04 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 101.86/102.04 % SZS status Theorem % 101.86/102.04 % SZS output start Proof % 101.86/102.04 ( % 101.86/102.04 (declare-sort tptp.map_int_lpmap_int_intrp 0) % 101.86/102.04 (declare-sort tptp.set_int 0) % 101.86/102.04 (declare-sort tptp.tuple02 0) % 101.86/102.04 (declare-sort tptp.map_int_int 0) % 101.86/102.04 (declare-sort tptp.bool1 0) % 101.86/102.04 (declare-sort tptp.ty 0) % 101.86/102.04 (declare-sort tptp.uni 0) % 101.86/102.04 (declare-const tptp.tb2t3 (-> tptp.uni tptp.map_int_lpmap_int_intrp)) % 101.86/102.04 (declare-const tptp.t2tb3 (-> tptp.map_int_lpmap_int_intrp tptp.uni)) % 101.86/102.04 (declare-const tptp.partial_solution1 (-> Int tptp.map_int_int Bool)) % 101.86/102.04 (declare-const tptp.n1 Int) % 101.86/102.04 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 101.86/102.04 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.t2tb2 (-> tptp.map_int_int tptp.uni)) % 101.86/102.04 (declare-const tptp.empty (-> tptp.ty tptp.uni)) % 101.86/102.04 (declare-const tptp.eq_prefix1 (-> tptp.ty tptp.uni tptp.uni Int Bool)) % 101.86/102.04 (declare-const tptp.subset (-> tptp.ty tptp.uni tptp.uni Bool)) % 101.86/102.04 (declare-const tptp.set (-> tptp.ty tptp.ty)) % 101.86/102.04 (declare-const tptp.infix_eqeq (-> tptp.ty tptp.uni tptp.uni Bool)) % 101.86/102.04 (declare-const tptp.lt_sol1 (-> tptp.map_int_int tptp.map_int_int Bool)) % 101.86/102.04 (declare-const tptp.pred1 (-> tptp.set_int tptp.set_int)) % 101.86/102.04 (declare-const tptp.false1 tptp.bool1) % 101.86/102.04 (declare-const tptp.true1 tptp.bool1) % 101.86/102.04 (declare-const tptp.is_empty (-> tptp.ty tptp.uni Bool)) % 101.86/102.04 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 101.86/102.04 (declare-const tptp.cardinal1 (-> tptp.ty tptp.uni Int)) % 101.86/102.04 (declare-const tptp.tuple03 tptp.tuple02) % 101.86/102.04 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 101.86/102.04 (declare-const tptp.tb2t2 (-> tptp.uni tptp.map_int_int)) % 101.86/102.04 (declare-const tptp.union (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 101.86/102.04 (declare-const tptp.int tptp.ty) % 101.86/102.04 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 101.86/102.04 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.inter (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.t2tb1 (-> Int tptp.uni)) % 101.86/102.04 (declare-const tptp.sorted1 (-> tptp.map_int_lpmap_int_intrp Int Int Bool)) % 101.86/102.04 (declare-const tptp.diff (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.succ1 (-> tptp.set_int tptp.set_int)) % 101.86/102.04 (declare-const tptp.remove (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.choose (-> tptp.ty tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.t2tb (-> tptp.set_int tptp.uni)) % 101.86/102.04 (declare-const tptp.set1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.tb2t1 (-> tptp.uni Int)) % 101.86/102.04 (declare-const tptp.add (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 101.86/102.04 (declare-const tptp.min_elt1 (-> tptp.set_int Int)) % 101.86/102.04 (declare-const tptp.max_elt1 (-> tptp.set_int Int)) % 101.86/102.04 (declare-const tptp.tb2t (-> tptp.uni tptp.set_int)) % 101.86/102.04 (declare-const tptp.below1 (-> Int tptp.set_int)) % 101.86/102.04 (define @t1 () (@var "A" tptp.ty)) % 101.86/102.04 (define @t2 () (@list @t1)) % 101.86/102.04 (define @t3 () (@var "X2" tptp.uni)) % 101.86/102.04 (define @t4 () (@var "X1" tptp.uni)) % 101.86/102.04 (define @t5 () (@var "X" tptp.bool1)) % 101.86/102.04 (define @t6 () (@var "Z" tptp.uni)) % 101.86/102.04 (define @t7 () (@var "Z1" tptp.uni)) % 101.86/102.04 (define @t8 () (@list @t1 @t6 @t7)) % 101.86/102.04 (define @t9 () (@var "U" tptp.bool1)) % 101.86/102.04 (define @t10 () (@var "U" tptp.tuple02)) % 101.86/102.04 (define @t11 () (@var "Z" Int)) % 101.86/102.04 (define @t12 () (@var "Y" Int)) % 101.86/102.04 (define @t13 () (@var "X" Int)) % 101.86/102.04 (define @t14 () (@var "S2" tptp.uni)) % 101.86/102.04 (define @t15 () (@var "S1" tptp.uni)) % 101.86/102.04 (define @t16 () (tptp.infix_eqeq @t1 @t15 @t14)) % 101.86/102.04 (define @t17 () (@var "X" tptp.uni)) % 101.86/102.04 (define @t18 () (tptp.mem @t1 @t17 @t14)) % 101.86/102.04 (define @t19 () (tptp.mem @t1 @t17 @t15)) % 101.86/102.04 (define @t20 () (= @t19 @t18)) % 101.86/102.04 (define @t21 () (tptp.sort1 @t1 @t17)) % 101.86/102.04 (define @t22 () (@list @t17)) % 101.86/102.04 (define @t23 () (@list @t1 @t15 @t14)) % 101.86/102.04 (define @t24 () (tptp.set @t1)) % 101.86/102.04 (define @t25 () (tptp.subset @t1 @t15 @t14)) % 101.86/102.04 (define @t26 () (=> @t19 @t18)) % 101.86/102.04 (define @t27 () (@var "S" tptp.uni)) % 101.86/102.04 (define @t28 () (@list @t1 @t27)) % 101.86/102.04 (define @t29 () (@var "S3" tptp.uni)) % 101.86/102.04 (define @t30 () (tptp.empty @t1)) % 101.86/102.04 (define @t31 () (tptp.is_empty @t1 @t27)) % 101.86/102.04 (define @t32 () (tptp.mem @t1 @t17 @t27)) % 101.86/102.04 (define @t33 () (not @t32)) % 101.86/102.04 (define @t34 () (@list @t1 @t17)) % 101.86/102.04 (define @t35 () (@list @t1 @t17 @t4)) % 101.86/102.04 (define @t36 () (@var "Y" tptp.uni)) % 101.86/102.04 (define @t37 () (= @t17 @t36)) % 101.86/102.04 (define @t38 () (tptp.sort1 @t1 @t36)) % 101.86/102.04 (define @t39 () (= (tptp.mem @t1 @t17 (tptp.remove @t1 @t36 @t27)) (and (not @t37) @t32))) % 101.86/102.04 (define @t40 () (=> @t38 @t39)) % 101.86/102.04 (define @t41 () (@list @t1 @t17 @t36 @t27)) % 101.86/102.04 (define @t42 () (forall @t41 (=> @t21 @t40))) % 101.86/102.04 (define @t43 () (tptp.remove @t1 @t17 @t27)) % 101.86/102.04 (define @t44 () (@list @t1 @t17 @t27)) % 101.86/102.04 (define @t45 () (tptp.add @t1 @t17 @t27)) % 101.86/102.04 (define @t46 () (@list @t1 @t15 @t14 @t17)) % 101.86/102.04 (define @t47 () (tptp.diff @t1 @t15 @t14)) % 101.86/102.04 (define @t48 () (tptp.choose @t1 @t27)) % 101.86/102.04 (define @t49 () (tptp.cardinal1 @t1 @t27)) % 101.86/102.04 (define @t50 () (@var "X" tptp.set_int)) % 101.86/102.04 (define @t51 () (@var "I" tptp.set_int)) % 101.86/102.04 (define @t52 () (@var "J" tptp.uni)) % 101.86/102.04 (define @t53 () (@list @t52)) % 101.86/102.04 (define @t54 () (tptp.t2tb1 @t13)) % 101.86/102.04 (define @t55 () (@list @t13)) % 101.86/102.04 (define @t56 () (@var "I" Int)) % 101.86/102.04 (define @t57 () (tptp.t2tb1 @t56)) % 101.86/102.04 (define @t58 () (@list @t56)) % 101.86/102.04 (define @t59 () (tptp.t2tb1 (tptp.tb2t1 @t52))) % 101.86/102.04 (define @t60 () (forall @t53 (= @t59 @t52))) % 101.86/102.04 (define @t61 () (@var "S" tptp.set_int)) % 101.86/102.04 (define @t62 () (tptp.t2tb @t61)) % 101.86/102.04 (define @t63 () (tptp.min_elt1 @t61)) % 101.86/102.04 (define @t64 () (not (tptp.is_empty tptp.int @t62))) % 101.86/102.04 (define @t65 () (@list @t61)) % 101.86/102.04 (define @t66 () (tptp.mem tptp.int @t54 @t62)) % 101.86/102.04 (define @t67 () (tptp.max_elt1 @t61)) % 101.86/102.04 (define @t68 () (@var "N" Int)) % 101.86/102.04 (define @t69 () (tptp.t2tb (tptp.below1 @t68))) % 101.86/102.04 (define @t70 () (tptp.cardinal1 tptp.int @t69)) % 101.86/102.04 (define @t71 () (<= 0 @t68)) % 101.86/102.04 (define @t72 () (@list @t61 @t56)) % 101.86/102.04 (define @t73 () (<= 0 @t56)) % 101.86/102.04 (define @t74 () (tptp.ref @t1)) % 101.86/102.04 (define @t75 () (@var "U" tptp.uni)) % 101.86/102.04 (define @t76 () (@list @t1 @t75)) % 101.86/102.04 (define @t77 () (@var "B" tptp.ty)) % 101.86/102.04 (define @t78 () (tptp.map @t1 @t77)) % 101.86/102.04 (define @t79 () (@var "B1" tptp.uni)) % 101.86/102.04 (define @t80 () (@var "A2" tptp.uni)) % 101.86/102.04 (define @t81 () (@var "A1" tptp.uni)) % 101.86/102.04 (define @t82 () (@var "M" tptp.uni)) % 101.86/102.04 (define @t83 () (tptp.get @t77 @t1 (tptp.set1 @t77 @t1 @t82 @t81 @t79) @t80)) % 101.86/102.04 (define @t84 () (= @t81 @t80)) % 101.86/102.04 (define @t85 () (=> @t84 (= @t83 @t79))) % 101.86/102.04 (define @t86 () (tptp.sort1 @t77 @t79)) % 101.86/102.04 (define @t87 () (=> @t86 @t85)) % 101.86/102.04 (define @t88 () (@list @t1 @t77 @t82 @t81 @t80 @t79)) % 101.86/102.04 (define @t89 () (forall @t88 @t87)) % 101.86/102.04 (define @t90 () (tptp.get @t77 @t1 @t82 @t80)) % 101.86/102.04 (define @t91 () (= @t83 @t90)) % 101.86/102.04 (define @t92 () (not @t84)) % 101.86/102.04 (define @t93 () (@list @t79)) % 101.86/102.04 (define @t94 () (forall @t93 (=> @t92 @t91))) % 101.86/102.04 (define @t95 () (tptp.sort1 @t1 @t80)) % 101.86/102.04 (define @t96 () (=> @t95 @t94)) % 101.86/102.04 (define @t97 () (tptp.sort1 @t1 @t81)) % 101.86/102.04 (define @t98 () (=> @t97 @t96)) % 101.86/102.04 (define @t99 () (@list @t1 @t77 @t82 @t81 @t80)) % 101.86/102.04 (define @t100 () (forall @t99 @t98)) % 101.86/102.04 (define @t101 () (@var "K" Int)) % 101.86/102.04 (define @t102 () (tptp.t2tb1 @t101)) % 101.86/102.04 (define @t103 () (@var "T" tptp.uni)) % 101.86/102.04 (define @t104 () (= (tptp.get @t1 tptp.int @t103 @t102) (tptp.get @t1 tptp.int @t75 @t102))) % 101.86/102.04 (define @t105 () (<= 0 @t101)) % 101.86/102.04 (define @t106 () (and @t105 (< @t101 @t56))) % 101.86/102.04 (define @t107 () (=> @t106 @t104)) % 101.86/102.04 (define @t108 () (@list @t101)) % 101.86/102.04 (define @t109 () (forall @t108 @t107)) % 101.86/102.04 (define @t110 () (tptp.eq_prefix1 @t1 @t103 @t75 @t56)) % 101.86/102.04 (define @t111 () (= @t110 @t109)) % 101.86/102.04 (define @t112 () (@list @t1 @t103 @t75 @t56)) % 101.86/102.04 (define @t113 () (forall @t112 @t111)) % 101.86/102.04 (define @t114 () (@var "X" tptp.map_int_int)) % 101.86/102.04 (define @t115 () (tptp.map tptp.int tptp.int)) % 101.86/102.04 (define @t116 () (@var "I" tptp.map_int_int)) % 101.86/102.04 (define @t117 () (tptp.t2tb2 (tptp.tb2t2 @t52))) % 101.86/102.04 (define @t118 () (forall @t53 (= @t117 @t52))) % 101.86/102.04 (define @t119 () (@var "J" Int)) % 101.86/102.04 (define @t120 () (tptp.t2tb1 @t119)) % 101.86/102.04 (define @t121 () (@var "S" tptp.map_int_int)) % 101.86/102.04 (define @t122 () (tptp.t2tb2 @t121)) % 101.86/102.04 (define @t123 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t122 @t120))) % 101.86/102.04 (define @t124 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t122 @t57))) % 101.86/102.04 (define @t125 () (- @t124 @t123)) % 101.86/102.04 (define @t126 () (- @t56 @t119)) % 101.86/102.04 (define @t127 () (<= 0 @t119)) % 101.86/102.04 (define @t128 () (@list @t119)) % 101.86/102.04 (define @t129 () (@var "U" tptp.map_int_int)) % 101.86/102.04 (define @t130 () (@var "T" tptp.map_int_int)) % 101.86/102.04 (define @t131 () (tptp.t2tb2 @t130)) % 101.86/102.04 (define @t132 () (@var "S2" tptp.map_int_int)) % 101.86/102.04 (define @t133 () (tptp.t2tb2 @t132)) % 101.86/102.04 (define @t134 () (@var "S1" tptp.map_int_int)) % 101.86/102.04 (define @t135 () (tptp.t2tb2 @t134)) % 101.86/102.04 (define @t136 () (< @t56 tptp.n1)) % 101.86/102.04 (define @t137 () (@var "X" tptp.map_int_lpmap_int_intrp)) % 101.86/102.04 (define @t138 () (@var "I" tptp.map_int_lpmap_int_intrp)) % 101.86/102.04 (define @t139 () (@var "S" tptp.map_int_lpmap_int_intrp)) % 101.86/102.04 (define @t140 () (tptp.t2tb3 @t139)) % 101.86/102.04 (define @t141 () (tptp.get @t115 tptp.int @t140 @t120)) % 101.86/102.04 (define @t142 () (tptp.get @t115 tptp.int @t140 @t57)) % 101.86/102.04 (define @t143 () (@var "B" Int)) % 101.86/102.04 (define @t144 () (< @t56 @t119)) % 101.86/102.04 (define @t145 () (@var "A" Int)) % 101.86/102.04 (define @t146 () (and (<= @t145 @t56) @t144 (< @t119 @t143))) % 101.86/102.04 (define @t147 () (@list @t56 @t119)) % 101.86/102.04 (define @t148 () (tptp.sorted1 @t139 @t145 @t143)) % 101.86/102.04 (define @t149 () (@list @t139 @t145 @t143)) % 101.86/102.04 (define @t150 () (@var "Col2" tptp.map_int_int)) % 101.86/102.04 (define @t151 () (tptp.t2tb2 @t150)) % 101.86/102.04 (define @t152 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t151 @t120))) % 101.86/102.04 (define @t153 () (= @t152 @t56)) % 101.86/102.04 (define @t154 () (not @t153)) % 101.86/102.04 (define @t155 () (@var "K2" Int)) % 101.86/102.04 (define @t156 () (and @t127 (< @t119 @t155))) % 101.86/102.04 (define @t157 () (=> @t156 @t154)) % 101.86/102.04 (define @t158 () (forall @t128 @t157)) % 101.86/102.04 (define @t159 () (@var "A" tptp.set_int)) % 101.86/102.04 (define @t160 () (tptp.t2tb @t159)) % 101.86/102.04 (define @t161 () (@var "E" tptp.set_int)) % 101.86/102.04 (define @t162 () (tptp.t2tb1 (tptp.min_elt1 @t161))) % 101.86/102.04 (define @t163 () (tptp.remove tptp.int @t162 @t160)) % 101.86/102.04 (define @t164 () (tptp.mem tptp.int @t57 @t163)) % 101.86/102.04 (define @t165 () (=> @t164 @t158)) % 101.86/102.04 (define @t166 () (forall @t58 @t165)) % 101.86/102.04 (define @t167 () (@var "K1" Int)) % 101.86/102.04 (define @t168 () (+ @t167 1)) % 101.86/102.04 (define @t169 () (= @t155 @t168)) % 101.86/102.04 (define @t170 () (=> @t169 @t166)) % 101.86/102.04 (define @t171 () (@list @t155)) % 101.86/102.04 (define @t172 () (forall @t171 @t170)) % 101.86/102.04 (define @t173 () (tptp.t2tb1 @t167)) % 101.86/102.04 (define @t174 () (@var "Col1" tptp.map_int_int)) % 101.86/102.04 (define @t175 () (tptp.t2tb2 @t174)) % 101.86/102.04 (define @t176 () (tptp.tb2t2 (tptp.set1 tptp.int tptp.int @t175 @t173 @t162))) % 101.86/102.04 (define @t177 () (= @t150 @t176)) % 101.86/102.04 (define @t178 () (=> @t177 @t172)) % 101.86/102.04 (define @t179 () (@list @t150)) % 101.86/102.04 (define @t180 () (forall @t179 @t178)) % 101.86/102.04 (define @t181 () (tptp.t2tb @t161)) % 101.86/102.04 (define @t182 () (tptp.is_empty tptp.int @t181)) % 101.86/102.04 (define @t183 () (not @t182)) % 101.86/102.04 (define @t184 () (=> @t183 @t180)) % 101.86/102.04 (define @t185 () (@var "S" Int)) % 101.86/102.04 (define @t186 () (@var "Sol1" tptp.map_int_lpmap_int_intrp)) % 101.86/102.04 (define @t187 () (tptp.t2tb3 @t186)) % 101.86/102.04 (define @t188 () (@var "Sol" tptp.map_int_lpmap_int_intrp)) % 101.86/102.04 (define @t189 () (tptp.t2tb3 @t188)) % 101.86/102.04 (define @t190 () (tptp.eq_prefix1 @t115 @t189 @t187 @t185)) % 101.86/102.04 (define @t191 () (@var "Col" tptp.map_int_int)) % 101.86/102.04 (define @t192 () (tptp.t2tb2 @t191)) % 101.86/102.04 (define @t193 () (tptp.eq_prefix1 tptp.int @t192 @t175 @t167)) % 101.86/102.04 (define @t194 () (tptp.eq_prefix1 tptp.int @t131 (tptp.get @t115 tptp.int @t187 @t57) tptp.n1)) % 101.86/102.04 (define @t195 () (@var "S1" Int)) % 101.86/102.04 (define @t196 () (and (<= @t185 @t56) (< @t56 @t195) @t194)) % 101.86/102.04 (define @t197 () (exists @t58 @t196)) % 101.86/102.04 (define @t198 () (@var "C" tptp.set_int)) % 101.86/102.04 (define @t199 () (tptp.t2tb @t198)) % 101.86/102.04 (define @t200 () (@var "B" tptp.set_int)) % 101.86/102.04 (define @t201 () (tptp.t2tb @t200)) % 101.86/102.04 (define @t202 () (tptp.diff tptp.int (tptp.diff tptp.int @t160 @t201) @t199)) % 101.86/102.04 (define @t203 () (tptp.diff tptp.int @t202 @t181)) % 101.86/102.04 (define @t204 () (tptp.partial_solution1 tptp.n1 @t130)) % 101.86/102.04 (define @t205 () (and @t204 (tptp.eq_prefix1 tptp.int @t175 @t131 @t167) (tptp.mem tptp.int (tptp.get tptp.int tptp.int @t131 @t173) @t203))) % 101.86/102.04 (define @t206 () (= @t205 @t197)) % 101.86/102.04 (define @t207 () (@list @t130)) % 101.86/102.04 (define @t208 () (forall @t207 @t206)) % 101.86/102.04 (define @t209 () (tptp.mem tptp.int @t120 @t181)) % 101.86/102.04 (define @t210 () (=> @t209 @t144)) % 101.86/102.04 (define @t211 () (tptp.mem tptp.int @t57 @t203)) % 101.86/102.04 (define @t212 () (=> @t211 @t210)) % 101.86/102.04 (define @t213 () (forall @t147 @t212)) % 101.86/102.04 (define @t214 () (tptp.sorted1 @t186 @t185 @t195)) % 101.86/102.04 (define @t215 () (tptp.partial_solution1 @t167 @t174)) % 101.86/102.04 (define @t216 () (tptp.subset tptp.int @t181 @t202)) % 101.86/102.04 (define @t217 () (= @t167 @t101)) % 101.86/102.04 (define @t218 () (- @t195 @t185)) % 101.86/102.04 (define @t219 () (<= 0 @t218)) % 101.86/102.04 (define @t220 () (@var "F" Int)) % 101.86/102.04 (define @t221 () (= @t220 @t218)) % 101.86/102.04 (define @t222 () (and @t221 @t219 @t217 @t216 @t215 @t214 @t213 @t208 @t193 @t190)) % 101.86/102.04 (define @t223 () (=> @t222 @t184)) % 101.86/102.04 (define @t224 () (@list @t220 @t161 @t195 @t186 @t167 @t174)) % 101.86/102.04 (define @t225 () (forall @t224 @t223)) % 101.86/102.04 (define @t226 () (tptp.is_empty tptp.int @t160)) % 101.86/102.04 (define @t227 () (not @t226)) % 101.86/102.04 (define @t228 () (=> @t227 @t225)) % 101.86/102.04 (define @t229 () (tptp.partial_solution1 @t101 @t191)) % 101.86/102.04 (define @t230 () (+ @t56 @t101)) % 101.86/102.04 (define @t231 () (- @t230 @t119)) % 101.86/102.04 (define @t232 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t192 @t120))) % 101.86/102.04 (define @t233 () (= @t232 @t231)) % 101.86/102.04 (define @t234 () (not @t233)) % 101.86/102.04 (define @t235 () (and @t127 (< @t119 @t101))) % 101.86/102.04 (define @t236 () (=> @t235 @t234)) % 101.86/102.04 (define @t237 () (forall @t128 @t236)) % 101.86/102.04 (define @t238 () (not (tptp.mem tptp.int @t57 @t199))) % 101.86/102.04 (define @t239 () (= @t238 @t237)) % 101.86/102.04 (define @t240 () (=> @t73 @t239)) % 101.86/102.04 (define @t241 () (forall @t58 @t240)) % 101.86/102.04 (define @t242 () (+ @t56 @t119)) % 101.86/102.04 (define @t243 () (- @t242 @t101)) % 101.86/102.04 (define @t244 () (= @t232 @t243)) % 101.86/102.04 (define @t245 () (not @t244)) % 101.86/102.04 (define @t246 () (=> @t235 @t245)) % 101.86/102.04 (define @t247 () (forall @t128 @t246)) % 101.86/102.04 (define @t248 () (not (tptp.mem tptp.int @t57 @t201))) % 101.86/102.04 (define @t249 () (= @t248 @t247)) % 101.86/102.04 (define @t250 () (=> @t73 @t249)) % 101.86/102.04 (define @t251 () (forall @t58 @t250)) % 101.86/102.04 (define @t252 () (= @t232 @t56)) % 101.86/102.04 (define @t253 () (not @t252)) % 101.86/102.04 (define @t254 () (=> @t235 @t253)) % 101.86/102.04 (define @t255 () (forall @t128 @t254)) % 101.86/102.04 (define @t256 () (and @t73 @t136 @t255)) % 101.86/102.04 (define @t257 () (tptp.mem tptp.int @t57 @t160)) % 101.86/102.04 (define @t258 () (= @t257 @t256)) % 101.86/102.04 (define @t259 () (forall @t58 @t258)) % 101.86/102.04 (define @t260 () (tptp.cardinal1 tptp.int @t160)) % 101.86/102.04 (define @t261 () (+ @t101 @t260)) % 101.86/102.04 (define @t262 () (= @t261 tptp.n1)) % 101.86/102.04 (define @t263 () (and @t105 @t262 (<= 0 @t185) @t259 @t251 @t241 @t229)) % 101.86/102.04 (define @t264 () (=> @t263 @t228)) % 101.86/102.04 (define @t265 () (@list @t159 @t200 @t198 @t185 @t188 @t101 @t191)) % 101.86/102.04 (define @t266 () (forall @t265 @t264)) % 101.86/102.04 (define @t267 () (not @t266)) % 101.86/102.04 (define @t268 () (* -1 @t260)) % 101.86/102.04 (define @t269 () (@var "BOUND_VARIABLE_9232" Int)) % 101.86/102.04 (define @t270 () (* -1 @t269)) % 101.86/102.04 (define @t271 () (+ tptp.n1 @t270 @t268)) % 101.86/102.04 (define @t272 () (not (>= @t271 0))) % 101.86/102.04 (define @t273 () (not (>= @t269 0))) % 101.86/102.04 (define @t274 () (@var "BOUND_VARIABLE_9224" tptp.set_int)) % 101.86/102.04 (define @t275 () (tptp.t2tb1 (tptp.min_elt1 @t274))) % 101.86/102.04 (define @t276 () (tptp.remove tptp.int @t275 @t160)) % 101.86/102.04 (define @t277 () (tptp.t2tb1 @t269)) % 101.86/102.04 (define @t278 () (+ tptp.n1 @t268)) % 101.86/102.04 (define @t279 () (tptp.t2tb1 @t278)) % 101.86/102.04 (define @t280 () (@var "BOUND_VARIABLE_9230" tptp.map_int_int)) % 101.86/102.04 (define @t281 () (tptp.t2tb2 @t280)) % 101.86/102.04 (define @t282 () (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 (tptp.tb2t2 (tptp.set1 tptp.int tptp.int @t281 @t279 @t275))) @t277))) @t276))) % 101.86/102.04 (define @t283 () (tptp.t2tb @t274)) % 101.86/102.04 (define @t284 () (tptp.is_empty tptp.int @t283)) % 101.86/102.04 (define @t285 () (@var "BOUND_VARIABLE_9228" tptp.map_int_lpmap_int_intrp)) % 101.86/102.04 (define @t286 () (tptp.t2tb3 @t285)) % 101.86/102.04 (define @t287 () (not (tptp.eq_prefix1 @t115 @t189 @t286 @t185))) % 101.86/102.04 (define @t288 () (not (tptp.eq_prefix1 tptp.int @t192 @t281 @t278))) % 101.86/102.04 (define @t289 () (tptp.diff tptp.int @t202 @t283)) % 101.86/102.04 (define @t290 () (@var "BOUND_VARIABLE_9226" Int)) % 101.86/102.04 (define @t291 () (* -1 @t290)) % 101.86/102.04 (define @t292 () (* -1 @t185)) % 101.86/102.04 (define @t293 () (+ @t56 @t292)) % 101.86/102.04 (define @t294 () (>= @t293 0)) % 101.86/102.04 (define @t295 () (not @t294)) % 101.86/102.04 (define @t296 () (not (forall @t58 (or @t295 (>= (+ @t56 @t291) 0) (not (tptp.eq_prefix1 tptp.int @t131 (tptp.get @t115 tptp.int @t286 @t57) tptp.n1)))))) % 101.86/102.04 (define @t297 () (not (forall @t207 (= @t296 (and @t204 (tptp.eq_prefix1 tptp.int @t281 @t131 @t278) (tptp.mem tptp.int (tptp.get tptp.int tptp.int @t131 @t279) @t289)))))) % 101.86/102.04 (define @t298 () (* -1 @t119)) % 101.86/102.04 (define @t299 () (+ @t56 @t298)) % 101.86/102.04 (define @t300 () (>= @t299 0)) % 101.86/102.04 (define @t301 () (not @t300)) % 101.86/102.04 (define @t302 () (not (forall @t147 (or (not (tptp.mem tptp.int @t57 @t289)) (not (tptp.mem tptp.int @t120 @t283)) @t301)))) % 101.86/102.04 (define @t303 () (not (tptp.sorted1 @t285 @t185 @t290))) % 101.86/102.04 (define @t304 () (not (tptp.partial_solution1 @t278 @t280))) % 101.86/102.04 (define @t305 () (not (tptp.subset tptp.int @t283 @t202))) % 101.86/102.04 (define @t306 () (>= (+ @t185 @t291) 1)) % 101.86/102.04 (define @t307 () (not (tptp.partial_solution1 @t278 @t191))) % 101.86/102.04 (define @t308 () (* -1 tptp.n1)) % 101.86/102.04 (define @t309 () (+ @t308 @t119 @t260 @t232)) % 101.86/102.04 (define @t310 () (+ tptp.n1 @t298 @t268)) % 101.86/102.04 (define @t311 () (not (>= @t310 1))) % 101.86/102.04 (define @t312 () (>= @t119 0)) % 101.86/102.04 (define @t313 () (not @t312)) % 101.86/102.04 (define @t314 () (>= @t56 0)) % 101.86/102.04 (define @t315 () (not @t314)) % 101.86/102.04 (define @t316 () (not (forall @t58 (or @t315 (= @t238 (forall @t128 (or @t313 @t311 (not (= @t56 @t309))))))))) % 101.86/102.04 (define @t317 () (+ tptp.n1 @t298 @t268 @t232)) % 101.86/102.04 (define @t318 () (not (forall @t58 (or @t315 (= @t248 (forall @t128 (or @t313 @t311 (not (= @t56 @t317))))))))) % 101.86/102.04 (define @t319 () (= @t56 @t232)) % 101.86/102.04 (define @t320 () (not @t319)) % 101.86/102.04 (define @t321 () (+ @t56 @t308)) % 101.86/102.04 (define @t322 () (>= @t321 0)) % 101.86/102.04 (define @t323 () (not @t322)) % 101.86/102.04 (define @t324 () (not (forall @t58 (= @t257 (and @t314 @t323 (forall @t128 (or @t313 @t311 @t320))))))) % 101.86/102.04 (define @t325 () (>= @t185 0)) % 101.86/102.04 (define @t326 () (not @t325)) % 101.86/102.04 (define @t327 () (not (>= @t278 0))) % 101.86/102.04 (define @t328 () (or @t327 @t326 @t324 @t318 @t316 @t307 @t226 @t306 @t305 @t304 @t303 @t302 @t297 @t288 @t287 @t284 @t282 @t273 @t272)) % 101.86/102.04 (define @t329 () (@list @t159 @t200 @t198 @t185 @t188 @t191 @t274 @t290 @t285 @t280 @t269)) % 101.86/102.04 (define @t330 () (forall @t329 @t328)) % 101.86/102.04 (define @t331 () (@quantifiers_skolemize @t330 10)) % 101.86/102.04 (define @t332 () (tptp.t2tb1 @t331)) % 101.86/102.04 (define @t333 () (@quantifiers_skolemize @t330 6)) % 101.86/102.04 (define @t334 () (tptp.min_elt1 @t333)) % 101.86/102.04 (define @t335 () (tptp.t2tb1 @t334)) % 101.86/102.04 (define @t336 () (tptp.t2tb (@quantifiers_skolemize @t330 0))) % 101.86/102.04 (define @t337 () (tptp.cardinal1 tptp.int @t336)) % 101.86/102.04 (define @t338 () (* -1 @t337)) % 101.86/102.04 (define @t339 () (+ tptp.n1 @t338)) % 101.86/102.04 (define @t340 () (tptp.t2tb1 @t339)) % 101.86/102.04 (define @t341 () (@quantifiers_skolemize @t330 9)) % 101.86/102.04 (define @t342 () (tptp.t2tb2 @t341)) % 101.86/102.04 (define @t343 () (tptp.set1 tptp.int tptp.int @t342 @t340 @t335)) % 101.86/102.04 (define @t344 () (tptp.t2tb2 (tptp.tb2t2 @t343))) % 101.86/102.04 (define @t345 () (tptp.get tptp.int tptp.int @t344 @t332)) % 101.86/102.04 (define @t346 () (= @t79 (tptp.get @t77 @t1 (tptp.set1 @t77 @t1 @t82 @t80 @t79) @t80))) % 101.86/102.04 (define @t347 () (not @t86)) % 101.86/102.04 (define @t348 () (not (= @t80 @t80))) % 101.86/102.04 (define @t349 () (or @t347 @t348 @t346)) % 101.86/102.04 (define @t350 () (@list @t1 @t77 @t82 @t80 @t79)) % 101.86/102.04 (define @t351 () (= @t79 @t83)) % 101.86/102.04 (define @t352 () (or @t92 @t347 @t92 @t351)) % 101.86/102.04 (define @t353 () (@list @t81)) % 101.86/102.04 (define @t354 () (or @t347 @t92 @t351)) % 101.86/102.04 (define @t355 () (forall @t353 @t354)) % 101.86/102.04 (define @t356 () (forall @t350 @t355)) % 101.86/102.04 (define @t357 () (forall (@list @t1 @t77 @t82 @t80 @t79 @t81) @t354)) % 101.86/102.04 (define @t358 () (=> @t84 @t351)) % 101.86/102.04 (define @t359 () (tptp.get tptp.int tptp.int @t343 @t340)) % 101.86/102.04 (define @t360 () (= @t335 @t359)) % 101.86/102.04 (define @t361 () (tptp.sort1 tptp.int @t335)) % 101.86/102.04 (define @t362 () (not @t361)) % 101.86/102.04 (define @t363 () (or @t362 @t360)) % 101.86/102.04 (define @t364 () (@list false false)) % 101.86/102.04 (define @t365 () (not @t38)) % 101.86/102.04 (define @t366 () (not @t21)) % 101.86/102.04 (define @t367 () (or @t366 @t365 @t39)) % 101.86/102.04 (define @t368 () (tptp.tb2t1 @t345)) % 101.86/102.04 (define @t369 () (tptp.t2tb1 @t368)) % 101.86/102.04 (define @t370 () (tptp.mem tptp.int @t369 @t336)) % 101.86/102.04 (define @t371 () (not (= @t369 @t335))) % 101.86/102.04 (define @t372 () (and @t371 @t370)) % 101.86/102.04 (define @t373 () (tptp.mem tptp.int @t369 (tptp.remove tptp.int @t335 @t336))) % 101.86/102.04 (define @t374 () (= @t373 @t372)) % 101.86/102.04 (define @t375 () (tptp.sort1 tptp.int @t369)) % 101.86/102.04 (define @t376 () (not @t375)) % 101.86/102.04 (define @t377 () (or @t376 @t362 @t374)) % 101.86/102.04 (define @t378 () (forall @t41 @t367)) % 101.86/102.04 (define @t379 () (= @t335 @t369)) % 101.86/102.04 (define @t380 () (not @t379)) % 101.86/102.04 (define @t381 () (and @t380 @t370)) % 101.86/102.04 (define @t382 () (= @t373 @t381)) % 101.86/102.04 (define @t383 () (or @t376 @t362 @t382)) % 101.86/102.04 (define @t384 () (@list false)) % 101.86/102.04 (define @t385 () (@list @t368)) % 101.86/102.04 (define @t386 () (+ @t268 @t270 tptp.n1)) % 101.86/102.04 (define @t387 () (+ @t278 @t270)) % 101.86/102.04 (define @t388 () (>= @t387 0)) % 101.86/102.04 (define @t389 () (not @t388)) % 101.86/102.04 (define @t390 () (+ @t308 @t260)) % 101.86/102.04 (define @t391 () (* -1 @t278)) % 101.86/102.04 (define @t392 () (+ @t391 @t119 @t232)) % 101.86/102.04 (define @t393 () (= @t56 @t392)) % 101.86/102.04 (define @t394 () (not @t393)) % 101.86/102.04 (define @t395 () (+ @t268 @t298 tptp.n1)) % 101.86/102.04 (define @t396 () (+ @t278 @t298)) % 101.86/102.04 (define @t397 () (>= @t396 1)) % 101.86/102.04 (define @t398 () (not @t397)) % 101.86/102.04 (define @t399 () (or @t313 @t398 @t394)) % 101.86/102.04 (define @t400 () (forall @t128 @t399)) % 101.86/102.04 (define @t401 () (= @t238 @t400)) % 101.86/102.04 (define @t402 () (or @t315 @t401)) % 101.86/102.04 (define @t403 () (forall @t58 @t402)) % 101.86/102.04 (define @t404 () (not @t403)) % 101.86/102.04 (define @t405 () (+ @t268 @t298 @t232 tptp.n1)) % 101.86/102.04 (define @t406 () (+ @t278 @t298 @t232)) % 101.86/102.04 (define @t407 () (= @t56 @t406)) % 101.86/102.04 (define @t408 () (not @t407)) % 101.86/102.04 (define @t409 () (or @t313 @t398 @t408)) % 101.86/102.04 (define @t410 () (forall @t128 @t409)) % 101.86/102.04 (define @t411 () (= @t248 @t410)) % 101.86/102.04 (define @t412 () (or @t315 @t411)) % 101.86/102.04 (define @t413 () (forall @t58 @t412)) % 101.86/102.04 (define @t414 () (not @t413)) % 101.86/102.04 (define @t415 () (or @t313 @t398 @t320)) % 101.86/102.04 (define @t416 () (forall @t128 @t415)) % 101.86/102.04 (define @t417 () (and @t314 @t323 @t416)) % 101.86/102.04 (define @t418 () (= @t257 @t417)) % 101.86/102.04 (define @t419 () (forall @t58 @t418)) % 101.86/102.04 (define @t420 () (not @t419)) % 101.86/102.04 (define @t421 () (+ @t268 @t260 tptp.n1)) % 101.86/102.04 (define @t422 () (+ @t278 @t260)) % 101.86/102.04 (define @t423 () (= tptp.n1 @t422)) % 101.86/102.04 (define @t424 () (not @t423)) % 101.86/102.04 (define @t425 () (or @t327 @t424 @t326 @t420 @t414 @t404 @t307 @t226 @t306 @t305 @t304 @t303 @t302 @t297 @t288 @t287 @t284 @t282 @t273 @t389)) % 101.86/102.04 (define @t426 () (not (>= (+ @t101 @t270) 0))) % 101.86/102.04 (define @t427 () (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 (tptp.tb2t2 (tptp.set1 tptp.int tptp.int @t281 @t102 @t275))) @t277))) @t276))) % 101.86/102.04 (define @t428 () (not (tptp.eq_prefix1 tptp.int @t192 @t281 @t101))) % 101.86/102.04 (define @t429 () (tptp.get tptp.int tptp.int @t131 @t102)) % 101.86/102.04 (define @t430 () (not (forall @t207 (= @t296 (and @t204 (tptp.eq_prefix1 tptp.int @t281 @t131 @t101) (tptp.mem tptp.int @t429 @t289)))))) % 101.86/102.04 (define @t431 () (not (tptp.partial_solution1 @t101 @t280))) % 101.86/102.04 (define @t432 () (not @t229)) % 101.86/102.04 (define @t433 () (* -1 @t101)) % 101.86/102.04 (define @t434 () (+ @t433 @t119 @t232)) % 101.86/102.04 (define @t435 () (= @t56 @t434)) % 101.86/102.04 (define @t436 () (not @t435)) % 101.86/102.04 (define @t437 () (+ @t101 @t298)) % 101.86/102.04 (define @t438 () (>= @t437 1)) % 101.86/102.04 (define @t439 () (not @t438)) % 101.86/102.04 (define @t440 () (or @t313 @t439 @t436)) % 101.86/102.04 (define @t441 () (= @t238 (forall @t128 @t440))) % 101.86/102.04 (define @t442 () (forall @t58 (or @t315 @t441))) % 101.86/102.04 (define @t443 () (not @t442)) % 101.86/102.04 (define @t444 () (+ @t101 @t298 @t232)) % 101.86/102.04 (define @t445 () (= @t56 @t444)) % 101.86/102.04 (define @t446 () (not @t445)) % 101.86/102.04 (define @t447 () (or @t313 @t439 @t446)) % 101.86/102.04 (define @t448 () (= @t248 (forall @t128 @t447))) % 101.86/102.04 (define @t449 () (forall @t58 (or @t315 @t448))) % 101.86/102.04 (define @t450 () (not @t449)) % 101.86/102.04 (define @t451 () (or @t313 @t439 @t320)) % 101.86/102.04 (define @t452 () (forall @t58 (= @t257 (and @t314 @t323 (forall @t128 @t451))))) % 101.86/102.04 (define @t453 () (not @t452)) % 101.86/102.04 (define @t454 () (= tptp.n1 @t261)) % 101.86/102.04 (define @t455 () (not @t454)) % 101.86/102.04 (define @t456 () (>= @t101 0)) % 101.86/102.04 (define @t457 () (not @t456)) % 101.86/102.04 (define @t458 () (= @t101 @t278)) % 101.86/102.04 (define @t459 () (* -1 (- tptp.n1 @t261))) % 101.86/102.04 (define @t460 () (or @t455 @t457 @t455 @t326 @t453 @t450 @t443 @t432 @t226 @t306 @t305 @t431 @t303 @t302 @t430 @t428 @t287 @t284 @t427 @t273 @t426)) % 101.86/102.04 (define @t461 () (or @t457 @t455 @t326 @t453 @t450 @t443 @t432 @t226 @t306 @t305 @t431 @t303 @t302 @t430 @t428 @t287 @t284 @t427 @t273 @t426)) % 101.86/102.04 (define @t462 () (forall @t108 @t461)) % 101.86/102.04 (define @t463 () (forall @t329 @t462)) % 101.86/102.04 (define @t464 () (forall (@list @t159 @t200 @t198 @t185 @t188 @t191 @t274 @t290 @t285 @t280 @t269 @t101) @t461)) % 101.86/102.04 (define @t465 () (@list @t159 @t200 @t198 @t185 @t188 @t101 @t191 @t274 @t290 @t285 @t280 @t269)) % 101.86/102.04 (define @t466 () (or @t306 @t305 @t431 @t303 @t302 @t430 @t428 @t287 @t284 @t427 @t273 @t426)) % 101.86/102.04 (define @t467 () (or @t457 @t455 @t326 @t453 @t450 @t443 @t432 @t226 @t466)) % 101.86/102.04 (define @t468 () (forall @t465 @t467)) % 101.86/102.04 (define @t469 () (@list @t274 @t290 @t285 @t280 @t269)) % 101.86/102.04 (define @t470 () (forall @t469 @t467)) % 101.86/102.04 (define @t471 () (forall @t469 @t466)) % 101.86/102.04 (define @t472 () (@var "BOUND_VARIABLE_9142" Int)) % 101.86/102.04 (define @t473 () (or @t457 @t455 @t326 @t453 @t450 @t443 @t432 @t226 @t471)) % 101.86/102.04 (define @t474 () (* -1 @t472)) % 101.86/102.04 (define @t475 () (not (>= (+ @t101 @t474) 0))) % 101.86/102.04 (define @t476 () (not (>= @t472 0))) % 101.86/102.04 (define @t477 () (tptp.t2tb1 @t472)) % 101.86/102.04 (define @t478 () (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb2 (tptp.tb2t2 (tptp.set1 tptp.int tptp.int @t175 @t102 @t162))) @t477))) @t163))) % 101.86/102.04 (define @t479 () (not @t190)) % 101.86/102.04 (define @t480 () (not (tptp.eq_prefix1 tptp.int @t192 @t175 @t101))) % 101.86/102.04 (define @t481 () (and @t204 (tptp.eq_prefix1 tptp.int @t175 @t131 @t101) (tptp.mem tptp.int @t429 @t203))) % 101.86/102.04 (define @t482 () (not @t194)) % 101.86/102.04 (define @t483 () (* -1 @t195)) % 101.86/102.04 (define @t484 () (+ @t56 @t483)) % 101.86/102.04 (define @t485 () (>= @t484 0)) % 101.86/102.04 (define @t486 () (not (forall @t58 (or @t295 @t485 @t482)))) % 101.86/102.04 (define @t487 () (not (forall @t207 (= @t486 @t481)))) % 101.86/102.04 (define @t488 () (not @t209)) % 101.86/102.04 (define @t489 () (not @t211)) % 101.86/102.04 (define @t490 () (or @t489 @t488 @t301)) % 101.86/102.04 (define @t491 () (forall @t147 @t490)) % 101.86/102.04 (define @t492 () (not @t491)) % 101.86/102.04 (define @t493 () (not @t214)) % 101.86/102.04 (define @t494 () (not (tptp.partial_solution1 @t101 @t174))) % 101.86/102.04 (define @t495 () (not @t216)) % 101.86/102.04 (define @t496 () (+ @t185 @t483)) % 101.86/102.04 (define @t497 () (>= @t496 1)) % 101.86/102.04 (define @t498 () (or @t497 @t495 @t494 @t493 @t492 @t487 @t480 @t479 @t182 @t478 @t476 @t475)) % 101.86/102.04 (define @t499 () (@list @t161 @t195 @t186 @t174 @t472)) % 101.86/102.04 (define @t500 () (forall @t499 @t498)) % 101.86/102.04 (define @t501 () (or @t457 @t455 @t326 @t453 @t450 @t443 @t432 @t226 @t500)) % 101.86/102.04 (define @t502 () (or @t457 @t455 @t326 @t453 @t450 @t443 @t432)) % 101.86/102.04 (define @t503 () (=> @t227 @t500)) % 101.86/102.04 (define @t504 () (and @t456 @t454 @t325 @t452 @t449 @t442 @t229)) % 101.86/102.04 (define @t505 () (forall @t207 (= @t481 @t486))) % 101.86/102.04 (define @t506 () (not @t505)) % 101.86/102.04 (define @t507 () (not (= @t101 @t101))) % 101.86/102.04 (define @t508 () (or @t497 @t507 @t495 @t494 @t493 @t492 @t506 @t480 @t479 @t182 @t478 @t476 @t475)) % 101.86/102.04 (define @t509 () (not (>= (+ @t167 @t474) 0))) % 101.86/102.04 (define @t510 () (tptp.t2tb2 @t176)) % 101.86/102.04 (define @t511 () (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int @t510 @t477))) @t163))) % 101.86/102.04 (define @t512 () (not @t193)) % 101.86/102.04 (define @t513 () (forall @t207 (= @t205 @t486))) % 101.86/102.04 (define @t514 () (not @t513)) % 101.86/102.04 (define @t515 () (not @t215)) % 101.86/102.04 (define @t516 () (= @t101 @t167)) % 101.86/102.04 (define @t517 () (not @t516)) % 101.86/102.04 (define @t518 () (@list @t167)) % 101.86/102.04 (define @t519 () (* 1 (- @t167 @t101))) % 101.86/102.04 (define @t520 () (* -1 (- @t101 @t167))) % 101.86/102.04 (define @t521 () (or @t517 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509)) % 101.86/102.04 (define @t522 () (or @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509)) % 101.86/102.04 (define @t523 () (forall @t518 @t522)) % 101.86/102.04 (define @t524 () (forall @t499 @t523)) % 101.86/102.04 (define @t525 () (forall (@list @t161 @t195 @t186 @t174 @t472 @t167) @t522)) % 101.86/102.04 (define @t526 () (@list @t161 @t195 @t186 @t167 @t174 @t472)) % 101.86/102.04 (define @t527 () (+ @t292 @t195)) % 101.86/102.04 (define @t528 () (* -1 @t496)) % 101.86/102.04 (define @t529 () (* -1 @t528)) % 101.86/102.04 (define @t530 () (+ @t529 @t195)) % 101.86/102.04 (define @t531 () (= @t185 @t530)) % 101.86/102.04 (define @t532 () (not @t531)) % 101.86/102.04 (define @t533 () (or @t532 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509)) % 101.86/102.04 (define @t534 () (+ (* -1 @t220) @t195)) % 101.86/102.04 (define @t535 () (= @t185 @t534)) % 101.86/102.04 (define @t536 () (not @t535)) % 101.86/102.04 (define @t537 () (= @t220 @t528)) % 101.86/102.04 (define @t538 () (@list @t220)) % 101.86/102.04 (define @t539 () (* 1 (- @t185 @t534))) % 101.86/102.04 (define @t540 () (or @t536 @t536 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509)) % 101.86/102.04 (define @t541 () (or @t536 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509)) % 101.86/102.04 (define @t542 () (forall @t538 @t541)) % 101.86/102.04 (define @t543 () (forall @t526 @t542)) % 101.86/102.04 (define @t544 () (forall (@list @t161 @t195 @t186 @t167 @t174 @t472 @t220) @t541)) % 101.86/102.04 (define @t545 () (@list @t220 @t161 @t195 @t186 @t167 @t174 @t472)) % 101.86/102.04 (define @t546 () (or @t511 @t476 @t509)) % 101.86/102.04 (define @t547 () (or @t536 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t546)) % 101.86/102.04 (define @t548 () (forall @t545 @t547)) % 101.86/102.04 (define @t549 () (@list @t472)) % 101.86/102.04 (define @t550 () (forall @t549 @t547)) % 101.86/102.04 (define @t551 () (forall @t549 @t546)) % 101.86/102.04 (define @t552 () (@var "BOUND_VARIABLE_9091" Int)) % 101.86/102.04 (define @t553 () (@list @t552)) % 101.86/102.04 (define @t554 () (or @t536 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t551)) % 101.86/102.04 (define @t555 () (not (>= (+ @t167 (* -1 @t552)) 0))) % 101.86/102.04 (define @t556 () (not (>= @t552 0))) % 101.86/102.04 (define @t557 () (tptp.t2tb1 @t552)) % 101.86/102.04 (define @t558 () (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int @t510 @t557))) @t163))) % 101.86/102.04 (define @t559 () (or @t558 @t556 @t555)) % 101.86/102.04 (define @t560 () (@list @t552)) % 101.86/102.04 (define @t561 () (forall @t560 @t559)) % 101.86/102.04 (define @t562 () (or @t536 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t561)) % 101.86/102.04 (define @t563 () (not @t497)) % 101.86/102.04 (define @t564 () (not @t563)) % 101.86/102.04 (define @t565 () (or @t536 @t564 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479)) % 101.86/102.04 (define @t566 () (=> @t183 @t561)) % 101.86/102.04 (define @t567 () (and @t535 @t563 @t516 @t216 @t215 @t214 @t491 @t513 @t193 @t190)) % 101.86/102.04 (define @t568 () (not (= @t176 @t176))) % 101.86/102.04 (define @t569 () (or @t568 @t558 @t556 @t555)) % 101.86/102.04 (define @t570 () (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int @t151 @t557))) @t163))) % 101.86/102.04 (define @t571 () (not @t177)) % 101.86/102.04 (define @t572 () (or @t571 @t571 @t570 @t556 @t555)) % 101.86/102.04 (define @t573 () (or @t571 @t570 @t556 @t555)) % 101.86/102.04 (define @t574 () (forall @t179 @t573)) % 101.86/102.04 (define @t575 () (forall @t560 @t574)) % 101.86/102.04 (define @t576 () (forall (@list @t552 @t150) @t573)) % 101.86/102.04 (define @t577 () (@list @t150 @t552)) % 101.86/102.04 (define @t578 () (or @t570 @t556 @t555)) % 101.86/102.04 (define @t579 () (or @t571 @t578)) % 101.86/102.04 (define @t580 () (forall @t577 @t579)) % 101.86/102.04 (define @t581 () (forall @t560 @t579)) % 101.86/102.04 (define @t582 () (forall @t560 @t578)) % 101.86/102.04 (define @t583 () (@var "BOUND_VARIABLE_9047" Int)) % 101.86/102.04 (define @t584 () (@list @t583)) % 101.86/102.04 (define @t585 () (or @t571 @t582)) % 101.86/102.04 (define @t586 () (* -1 @t583)) % 101.86/102.04 (define @t587 () (+ @t167 @t586)) % 101.86/102.04 (define @t588 () (>= @t587 0)) % 101.86/102.04 (define @t589 () (not @t588)) % 101.86/102.04 (define @t590 () (not (>= @t583 0))) % 101.86/102.04 (define @t591 () (not (tptp.mem tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.get tptp.int tptp.int @t151 (tptp.t2tb1 @t583)))) @t163))) % 101.86/102.04 (define @t592 () (or @t591 @t590 @t589)) % 101.86/102.04 (define @t593 () (@list @t583)) % 101.86/102.04 (define @t594 () (forall @t593 @t592)) % 101.86/102.04 (define @t595 () (+ 1 @t167 @t586)) % 101.86/102.04 (define @t596 () (+ @t586 @t167 1)) % 101.86/102.04 (define @t597 () (+ 1 @t167)) % 101.86/102.04 (define @t598 () (+ @t597 @t586)) % 101.86/102.04 (define @t599 () (>= @t598 1)) % 101.86/102.04 (define @t600 () (not @t599)) % 101.86/102.04 (define @t601 () (+ -1 @t597)) % 101.86/102.04 (define @t602 () (= @t167 @t601)) % 101.86/102.04 (define @t603 () (not @t602)) % 101.86/102.04 (define @t604 () (or @t603 @t591 @t590 @t600)) % 101.86/102.04 (define @t605 () (not (>= (+ @t155 @t586) 1))) % 101.86/102.04 (define @t606 () (+ -1 @t155)) % 101.86/102.04 (define @t607 () (= @t167 @t606)) % 101.86/102.04 (define @t608 () (not @t607)) % 101.86/102.04 (define @t609 () (= @t155 @t597)) % 101.86/102.04 (define @t610 () (* 1 (- @t155 @t597))) % 101.86/102.04 (define @t611 () (* -1 (- @t167 @t606))) % 101.86/102.04 (define @t612 () (or @t608 @t608 @t591 @t590 @t605)) % 101.86/102.04 (define @t613 () (or @t608 @t591 @t590 @t605)) % 101.86/102.04 (define @t614 () (forall @t171 @t613)) % 101.86/102.04 (define @t615 () (forall @t593 @t614)) % 101.86/102.04 (define @t616 () (forall (@list @t583 @t155) @t613)) % 101.86/102.04 (define @t617 () (@list @t155 @t583)) % 101.86/102.04 (define @t618 () (or @t591 @t590 @t605)) % 101.86/102.04 (define @t619 () (or @t608 @t618)) % 101.86/102.04 (define @t620 () (forall @t617 @t619)) % 101.86/102.04 (define @t621 () (forall @t593 @t619)) % 101.86/102.04 (define @t622 () (forall @t593 @t618)) % 101.86/102.04 (define @t623 () (@var "BOUND_VARIABLE_9007" Int)) % 101.86/102.04 (define @t624 () (@list @t623)) % 101.86/102.04 (define @t625 () (or @t608 @t622)) % 101.86/102.04 (define @t626 () (+ @t155 (* -1 @t623))) % 101.86/102.04 (define @t627 () (not (>= @t626 1))) % 101.86/102.04 (define @t628 () (not (>= @t623 0))) % 101.86/102.04 (define @t629 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t151 (tptp.t2tb1 @t623)))) % 101.86/102.04 (define @t630 () (not (tptp.mem tptp.int (tptp.t2tb1 @t629) @t163))) % 101.86/102.04 (define @t631 () (or @t630 @t628 @t627)) % 101.86/102.04 (define @t632 () (@list @t623)) % 101.86/102.04 (define @t633 () (forall @t632 @t631)) % 101.86/102.04 (define @t634 () (not (= @t629 @t629))) % 101.86/102.04 (define @t635 () (or @t630 @t628 @t627 @t634)) % 101.86/102.04 (define @t636 () (not (= @t56 @t629))) % 101.86/102.04 (define @t637 () (not @t164)) % 101.86/102.04 (define @t638 () (or @t636 @t637 @t628 @t627 @t636)) % 101.86/102.04 (define @t639 () (or @t637 @t628 @t627 @t636)) % 101.86/102.04 (define @t640 () (forall @t58 @t639)) % 101.86/102.04 (define @t641 () (forall @t632 @t640)) % 101.86/102.04 (define @t642 () (forall (@list @t623 @t56) @t639)) % 101.86/102.04 (define @t643 () (@list @t56 @t623)) % 101.86/102.04 (define @t644 () (* -1 @t155)) % 101.86/102.04 (define @t645 () (+ @t644 @t623)) % 101.86/102.04 (define @t646 () (+ @t626 1)) % 101.86/102.04 (define @t647 () (+ @t623 @t644)) % 101.86/102.04 (define @t648 () (>= @t647 0)) % 101.86/102.04 (define @t649 () (or @t637 @t628 @t648 @t636)) % 101.86/102.04 (define @t650 () (or @t628 @t648 @t636)) % 101.86/102.04 (define @t651 () (or @t637 @t650)) % 101.86/102.04 (define @t652 () (forall @t643 @t651)) % 101.86/102.04 (define @t653 () (forall @t632 @t651)) % 101.86/102.04 (define @t654 () (forall @t632 @t650)) % 101.86/102.04 (define @t655 () (or @t637 @t654)) % 101.86/102.04 (define @t656 () (= @t56 @t152)) % 101.86/102.04 (define @t657 () (not @t656)) % 101.86/102.04 (define @t658 () (+ @t119 @t644)) % 101.86/102.04 (define @t659 () (>= @t658 0)) % 101.86/102.04 (define @t660 () (or @t313 @t659 @t657)) % 101.86/102.04 (define @t661 () (forall @t128 @t660)) % 101.86/102.04 (define @t662 () (not @t659)) % 101.86/102.04 (define @t663 () (and @t312 @t662)) % 101.86/102.04 (define @t664 () (>= @t119 @t155)) % 101.86/102.04 (define @t665 () (not @t485)) % 101.86/102.04 (define @t666 () (not @t665)) % 101.86/102.04 (define @t667 () (or @t295 @t666 @t482)) % 101.86/102.04 (define @t668 () (and @t294 @t665 @t194)) % 101.86/102.04 (define @t669 () (forall @t58 (not @t668))) % 101.86/102.04 (define @t670 () (not @t669)) % 101.86/102.04 (define @t671 () (>= @t56 @t195)) % 101.86/102.04 (define @t672 () (=> @t209 @t301)) % 101.86/102.04 (define @t673 () (>= @t56 @t119)) % 101.86/102.04 (define @t674 () (+ @t527 1)) % 101.86/102.04 (define @t675 () (>= 0 @t674)) % 101.86/102.04 (define @t676 () (+ @t195 @t292)) % 101.86/102.04 (define @t677 () (or @t313 @t439)) % 101.86/102.04 (define @t678 () (and @t312 @t438)) % 101.86/102.04 (define @t679 () (not @t678)) % 101.86/102.04 (define @t680 () (+ @t56 @t101 @t298)) % 101.86/102.04 (define @t681 () (+ @t298 @t101 @t56)) % 101.86/102.04 (define @t682 () (+ @t230 @t298)) % 101.86/102.04 (define @t683 () (+ @t437 1)) % 101.86/102.04 (define @t684 () (>= @t119 @t101)) % 101.86/102.04 (define @t685 () (+ @t56 @t433 @t119)) % 101.86/102.04 (define @t686 () (+ @t433 @t119 @t56)) % 101.86/102.04 (define @t687 () (+ @t242 @t433)) % 101.86/102.04 (define @t688 () (>= @t56 tptp.n1)) % 101.86/102.04 (define @t689 () (+ tptp.n1 (* -1 @t331) @t338)) % 101.86/102.04 (define @t690 () (>= @t689 0)) % 101.86/102.04 (define @t691 () (not @t690)) % 101.86/102.04 (define @t692 () (>= @t331 0)) % 101.86/102.04 (define @t693 () (not @t692)) % 101.86/102.04 (define @t694 () (not @t373)) % 101.86/102.04 (define @t695 () (tptp.t2tb @t333)) % 101.86/102.04 (define @t696 () (@quantifiers_skolemize @t330 3)) % 101.86/102.04 (define @t697 () (@quantifiers_skolemize @t330 8)) % 101.86/102.04 (define @t698 () (tptp.t2tb3 @t697)) % 101.86/102.04 (define @t699 () (@quantifiers_skolemize @t330 5)) % 101.86/102.04 (define @t700 () (tptp.t2tb2 @t699)) % 101.86/102.04 (define @t701 () (tptp.eq_prefix1 tptp.int @t700 @t342 @t339)) % 101.86/102.04 (define @t702 () (not @t701)) % 101.86/102.04 (define @t703 () (tptp.t2tb (@quantifiers_skolemize @t330 2))) % 101.86/102.04 (define @t704 () (tptp.t2tb (@quantifiers_skolemize @t330 1))) % 101.86/102.04 (define @t705 () (tptp.diff tptp.int (tptp.diff tptp.int @t336 @t704) @t703)) % 101.86/102.04 (define @t706 () (tptp.diff tptp.int @t705 @t695)) % 101.86/102.04 (define @t707 () (@quantifiers_skolemize @t330 7)) % 101.86/102.04 (define @t708 () (* -1 @t707)) % 101.86/102.04 (define @t709 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t700 @t120))) % 101.86/102.04 (define @t710 () (not (>= (+ tptp.n1 @t298 @t338) 1))) % 101.86/102.04 (define @t711 () (forall @t58 (= (tptp.mem tptp.int @t57 @t336) (and @t314 @t323 (forall @t128 (or @t313 @t710 (not (= @t56 @t709)))))))) % 101.86/102.04 (define @t712 () (not @t711)) % 101.86/102.04 (define @t713 () (or (not (>= @t339 0)) (not (>= @t696 0)) @t712 (not (forall @t58 (or @t315 (= (not (tptp.mem tptp.int @t57 @t704)) (forall @t128 (or @t313 @t710 (not (= @t56 (+ tptp.n1 @t298 @t338 @t709))))))))) (not (forall @t58 (or @t315 (= (not (tptp.mem tptp.int @t57 @t703)) (forall @t128 (or @t313 @t710 (not (= @t56 (+ @t308 @t119 @t337 @t709))))))))) (not (tptp.partial_solution1 @t339 @t699)) (tptp.is_empty tptp.int @t336) (>= (+ @t696 @t708) 1) (not (tptp.subset tptp.int @t695 @t705)) (not (tptp.partial_solution1 @t339 @t341)) (not (tptp.sorted1 @t697 @t696 @t707)) (not (forall @t147 (or (not (tptp.mem tptp.int @t57 @t706)) (not (tptp.mem tptp.int @t120 @t695)) @t301))) (not (forall @t207 (= (not (forall @t58 (or (not (>= (+ @t56 (* -1 @t696)) 0)) (>= (+ @t56 @t708) 0) (not (tptp.eq_prefix1 tptp.int @t131 (tptp.get @t115 tptp.int @t698 @t57) tptp.n1))))) (and @t204 (tptp.eq_prefix1 tptp.int @t342 @t131 @t339) (tptp.mem tptp.int (tptp.get tptp.int tptp.int @t131 @t340) @t706))))) @t702 (not (tptp.eq_prefix1 @t115 (tptp.t2tb3 (@quantifiers_skolemize @t330 4)) @t698 @t696)) (tptp.is_empty tptp.int @t695) @t694 @t693 @t691)) % 101.86/102.04 (define @t714 () (@list true)) % 101.86/102.04 (define @t715 () (@list @t713)) % 101.86/102.04 (define @t716 () (not @t381)) % 101.86/102.04 (define @t717 () (@list @t381)) % 101.86/102.04 (define @t718 () (= @t345 @t369)) % 101.86/102.04 (define @t719 () (= @t343 @t344)) % 101.86/102.04 (define @t720 () (= @t340 @t332)) % 101.86/102.04 (define @t721 () (tptp.get tptp.int tptp.int @t343 @t332)) % 101.86/102.04 (define @t722 () (and @t718 @t360 @t719 @t720)) % 101.86/102.04 (define @t723 () (not @t720)) % 101.86/102.04 (define @t724 () (not @t719)) % 101.86/102.04 (define @t725 () (+ @t56 @t433)) % 101.86/102.04 (define @t726 () (>= @t725 1)) % 101.86/102.04 (define @t727 () (not @t726)) % 101.86/102.04 (define @t728 () (or @t457 @t727 @t104)) % 101.86/102.04 (define @t729 () (and @t456 @t726)) % 101.86/102.04 (define @t730 () (+ @t725 1)) % 101.86/102.04 (define @t731 () (>= @t101 @t56)) % 101.86/102.04 (define @t732 () (= (tptp.get tptp.int tptp.int @t700 @t102) (tptp.get tptp.int tptp.int @t342 @t102))) % 101.86/102.04 (define @t733 () (+ tptp.n1 @t433 @t338)) % 101.86/102.04 (define @t734 () (+ @t338 @t433 tptp.n1)) % 101.86/102.04 (define @t735 () (+ @t339 @t433)) % 101.86/102.04 (define @t736 () (>= @t735 1)) % 101.86/102.04 (define @t737 () (not @t736)) % 101.86/102.04 (define @t738 () (or @t457 @t737 @t732)) % 101.86/102.04 (define @t739 () (forall @t108 @t738)) % 101.86/102.04 (define @t740 () (= @t701 @t739)) % 101.86/102.04 (define @t741 () (forall @t112 (= @t110 (forall @t108 @t728)))) % 101.86/102.04 (define @t742 () (forall @t108 (or @t457 (not (>= @t733 1)) @t732))) % 101.86/102.04 (define @t743 () (= @t701 @t742)) % 101.86/102.04 (define @t744 () (tptp.get tptp.int tptp.int @t700 @t332)) % 101.86/102.04 (define @t745 () (tptp.get tptp.int tptp.int @t342 @t332)) % 101.86/102.04 (define @t746 () (>= @t689 1)) % 101.86/102.04 (define @t747 () (not @t746)) % 101.86/102.04 (define @t748 () (or @t693 @t747 (= @t744 @t745))) % 101.86/102.04 (define @t749 () (@list @t331)) % 101.86/102.04 (define @t750 () (= @t745 @t744)) % 101.86/102.04 (define @t751 () (or @t693 @t747 @t750)) % 101.86/102.04 (define @t752 () (= @t709 @t368)) % 101.86/102.04 (define @t753 () (= @t368 @t709)) % 101.86/102.04 (define @t754 () (not @t753)) % 101.86/102.04 (define @t755 () (or @t313 @t710 @t754)) % 101.86/102.04 (define @t756 () (forall @t128 @t755)) % 101.86/102.04 (define @t757 () (+ tptp.n1 (* -1 @t368))) % 101.86/102.04 (define @t758 () (>= @t757 1)) % 101.86/102.04 (define @t759 () (+ @t308 @t368)) % 101.86/102.04 (define @t760 () (+ @t757 1)) % 101.86/102.04 (define @t761 () (+ @t368 @t308)) % 101.86/102.04 (define @t762 () (>= @t761 0)) % 101.86/102.04 (define @t763 () (not @t762)) % 101.86/102.04 (define @t764 () (>= @t368 0)) % 101.86/102.04 (define @t765 () (and @t764 @t763 @t756)) % 101.86/102.04 (define @t766 () (= @t370 @t765)) % 101.86/102.04 (define @t767 () (forall @t128 (or @t313 @t710 (not @t752)))) % 101.86/102.04 (define @t768 () (and @t764 @t758 @t767)) % 101.86/102.04 (define @t769 () (= @t370 @t768)) % 101.86/102.04 (define @t770 () (tptp.tb2t1 @t744)) % 101.86/102.04 (define @t771 () (= @t368 @t770)) % 101.86/102.04 (define @t772 () (= @t770 @t368)) % 101.86/102.04 (define @t773 () (not @t772)) % 101.86/102.04 (define @t774 () (or @t693 @t747 @t773)) % 101.86/102.04 (define @t775 () (not @t771)) % 101.86/102.04 (define @t776 () (or @t693 @t747 @t775)) % 101.86/102.04 (define @t777 () (@var "BOUND_VARIABLE_8638" tptp.uni)) % 101.86/102.04 (define @t778 () (tptp.get @t77 @t1 (tptp.set1 @t77 @t1 @t82 @t81 @t777) @t80)) % 101.86/102.04 (define @t779 () (not @t95)) % 101.86/102.04 (define @t780 () (not @t97)) % 101.86/102.04 (define @t781 () (= @t778 @t90)) % 101.86/102.04 (define @t782 () (or @t780 @t779 @t84 @t781)) % 101.86/102.04 (define @t783 () (forall (@list @t1 @t77 @t82 @t81 @t80 @t777) @t782)) % 101.86/102.04 (define @t784 () (@list @t777)) % 101.86/102.04 (define @t785 () (forall @t784 @t782)) % 101.86/102.04 (define @t786 () (forall @t784 @t781)) % 101.86/102.04 (define @t787 () (or @t780 @t779 @t84 @t786)) % 101.86/102.04 (define @t788 () (forall @t93 @t91)) % 101.86/102.04 (define @t789 () (or @t780 @t779 @t84 @t788)) % 101.86/102.04 (define @t790 () (or @t779 @t84 @t788)) % 101.86/102.04 (define @t791 () (or @t84 @t788)) % 101.86/102.04 (define @t792 () (=> @t95 @t791)) % 101.86/102.04 (define @t793 () (= @t745 @t721)) % 101.86/102.04 (define @t794 () (tptp.sort1 tptp.int @t332)) % 101.86/102.04 (define @t795 () (not @t794)) % 101.86/102.04 (define @t796 () (tptp.sort1 tptp.int @t340)) % 101.86/102.04 (define @t797 () (not @t796)) % 101.86/102.04 (define @t798 () (or @t797 @t795 @t720 @t793)) % 101.86/102.04 (define @t799 () (and @t719 @t793 @t750)) % 101.86/102.04 (define @t800 () (+ @t331 @t337)) % 101.86/102.04 (define @t801 () (= tptp.n1 @t800)) % 101.86/102.04 (define @t802 () (- tptp.n1 @t800)) % 101.86/102.04 (define @t803 () (and @t690 @t747)) % 101.86/102.04 (define @t804 () (@list false true)) % 101.86/102.04 (define @t805 () (= @t331 @t339)) % 101.86/102.04 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 101.86/102.04 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 101.86/102.04 (assume @p3 (forall @t8 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 101.86/102.04 (assume @p4 (forall @t8 (=> (tptp.sort1 @t1 @t7) (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 101.86/102.04 (assume @p5 (not (= tptp.true1 tptp.false1))) % 101.86/102.04 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true1) (= @t9 tptp.false1)))) % 101.86/102.04 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple03))) % 101.86/102.04 (assume @p8 (forall (@list @t13 @t12 @t11) (=> (<= @t13 @t12) (=> (<= 0 @t11) (<= (* @t13 @t11) (* @t12 @t11)))))) % 101.86/102.04 (assume @p9 (forall @t23 (and (=> @t16 (forall @t22 @t20)) (=> (forall @t22 (=> @t21 @t20)) @t16)))) % 101.86/102.04 (assume @p10 (forall @t23 (=> (tptp.sort1 @t24 @t15) (=> (tptp.sort1 @t24 @t14) (=> @t16 (= @t15 @t14)))))) % 101.86/102.04 (assume @p11 (forall @t23 (and (=> @t25 (forall @t22 @t26)) (=> (forall @t22 (=> @t21 @t26)) @t25)))) % 101.86/102.04 (assume @p12 (forall @t28 (tptp.subset @t1 @t27 @t27))) % 101.86/102.04 (assume @p13 (forall (@list @t1 @t15 @t14 @t29) (=> @t25 (=> (tptp.subset @t1 @t14 @t29) (tptp.subset @t1 @t15 @t29))))) % 101.86/102.04 (assume @p14 (forall @t2 (tptp.sort1 @t24 @t30))) % 101.86/102.04 (assume @p15 (forall @t28 (and (=> @t31 (forall @t22 @t33)) (=> (forall @t22 (=> @t21 @t33)) @t31)))) % 101.86/102.04 (assume @p16 (forall @t2 (tptp.is_empty @t1 @t30))) % 101.86/102.04 (assume @p17 (forall @t34 (= (tptp.mem @t1 @t17 @t30) false))) % 101.86/102.04 (assume @p18 (forall @t35 (tptp.sort1 @t24 (tptp.add @t1 @t17 @t4)))) % 101.86/102.04 (assume @p19 (forall (@list @t1 @t17 @t36) (=> @t21 (=> @t38 (forall (@list @t27) (= (tptp.mem @t1 @t17 (tptp.add @t1 @t36 @t27)) (or @t37 @t32))))))) % 101.86/102.04 (assume @p20 (forall @t35 (tptp.sort1 @t24 (tptp.remove @t1 @t17 @t4)))) % 101.86/102.04 (assume @p21 @t42) % 101.86/102.04 (assume @p22 (forall @t44 (=> (tptp.sort1 @t24 @t27) (=> @t32 (= (tptp.add @t1 @t17 @t43) @t27))))) % 101.86/102.04 (assume @p23 (forall @t44 (= (tptp.remove @t1 @t17 @t45) @t43))) % 101.86/102.04 (assume @p24 (forall @t44 (tptp.subset @t1 @t43 @t27))) % 101.86/102.04 (assume @p25 (forall @t35 (tptp.sort1 @t24 (tptp.union @t1 @t17 @t4)))) % 101.86/102.04 (assume @p26 (forall @t46 (= (tptp.mem @t1 @t17 (tptp.union @t1 @t15 @t14)) (or @t19 @t18)))) % 101.86/102.04 (assume @p27 (forall @t35 (tptp.sort1 @t24 (tptp.inter @t1 @t17 @t4)))) % 101.86/102.04 (assume @p28 (forall @t46 (= (tptp.mem @t1 @t17 (tptp.inter @t1 @t15 @t14)) (and @t19 @t18)))) % 101.86/102.04 (assume @p29 (forall @t35 (tptp.sort1 @t24 (tptp.diff @t1 @t17 @t4)))) % 101.86/102.04 (assume @p30 (forall @t46 (= (tptp.mem @t1 @t17 @t47) (and @t19 (not @t18))))) % 101.86/102.04 (assume @p31 (forall @t23 (tptp.subset @t1 @t47 @t15))) % 101.86/102.04 (assume @p32 (forall @t34 (tptp.sort1 @t1 (tptp.choose @t1 @t17)))) % 101.86/102.04 (assume @p33 (forall @t28 (=> (not @t31) (tptp.mem @t1 @t48 @t27)))) % 101.86/102.04 (assume @p34 (forall @t28 (<= 0 @t49))) % 101.86/102.04 (assume @p35 (forall @t28 (= (= @t49 0) @t31))) % 101.86/102.04 (assume @p36 (forall @t44 (=> @t33 (= (tptp.cardinal1 @t1 @t45) (+ 1 @t49))))) % 101.86/102.04 (assume @p37 (forall @t44 (=> @t32 (= @t49 (+ 1 (tptp.cardinal1 @t1 @t43)))))) % 101.86/102.04 (assume @p38 (forall @t23 (=> @t25 (<= (tptp.cardinal1 @t1 @t15) (tptp.cardinal1 @t1 @t14))))) % 101.86/102.04 (assume @p39 (forall @t28 (=> (= @t49 1) (forall @t22 (=> @t21 (=> @t32 (= @t17 @t48))))))) % 101.86/102.04 (assume @p40 (forall (@list @t50) (tptp.sort1 (tptp.set tptp.int) (tptp.t2tb @t50)))) % 101.86/102.04 (assume @p41 (forall (@list @t51) (= (tptp.tb2t (tptp.t2tb @t51)) @t51))) % 101.86/102.04 (assume @p42 (forall @t53 (= (tptp.t2tb (tptp.tb2t @t52)) @t52))) % 101.86/102.04 (assume @p43 (forall @t55 (tptp.sort1 tptp.int @t54))) % 101.86/102.04 (assume @p44 (forall @t58 (= (tptp.tb2t1 @t57) @t56))) % 101.86/102.04 (assume @p45 @t60) % 101.86/102.04 (assume @p46 (forall @t65 (=> @t64 (tptp.mem tptp.int (tptp.t2tb1 @t63) @t62)))) % 101.86/102.04 (assume @p47 (forall @t65 (=> @t64 (forall @t55 (=> @t66 (<= @t63 @t13)))))) % 101.86/102.04 (assume @p48 (forall @t65 (=> @t64 (tptp.mem tptp.int (tptp.t2tb1 @t67) @t62)))) % 101.86/102.04 (assume @p49 (forall @t65 (=> @t64 (forall @t55 (=> @t66 (<= @t13 @t67)))))) % 101.86/102.04 (assume @p50 (forall (@list @t13 @t68) (= (tptp.mem tptp.int @t54 @t69) (and (<= 0 @t13) (< @t13 @t68))))) % 101.86/102.04 (assume @p51 (forall (@list @t68) (and (=> @t71 (= @t70 @t68)) (=> (not @t71) (= @t70 0))))) % 101.86/102.04 (assume @p52 (forall @t72 (= (tptp.mem tptp.int @t57 (tptp.t2tb (tptp.succ1 @t61))) (and (<= 1 @t56) (tptp.mem tptp.int (tptp.t2tb1 (- @t56 1)) @t62))))) % 101.86/102.04 (assume @p53 (forall @t72 (= (tptp.mem tptp.int @t57 (tptp.t2tb (tptp.pred1 @t61))) (and @t73 (tptp.mem tptp.int (tptp.t2tb1 (+ @t56 1)) @t62))))) % 101.86/102.04 (assume @p54 (forall @t34 (tptp.sort1 @t74 (tptp.mk_ref @t1 @t17)))) % 101.86/102.04 (assume @p55 (forall @t34 (tptp.sort1 @t1 (tptp.contents @t1 @t17)))) % 101.86/102.04 (assume @p56 (forall @t76 (=> (tptp.sort1 @t1 @t75) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t75)) @t75)))) % 101.86/102.04 (assume @p57 (forall @t76 (=> (tptp.sort1 @t74 @t75) (= @t75 (tptp.mk_ref @t1 (tptp.contents @t1 @t75)))))) % 101.86/102.04 (assume @p58 (forall (@list @t1 @t77 @t17 @t4) (tptp.sort1 @t77 (tptp.get @t77 @t1 @t17 @t4)))) % 101.86/102.04 (assume @p59 (forall (@list @t1 @t77 @t17 @t4 @t3) (tptp.sort1 @t78 (tptp.set1 @t77 @t1 @t17 @t4 @t3)))) % 101.86/102.04 (assume @p60 @t89) % 101.86/102.04 (assume @p61 @t100) % 101.86/102.04 (assume @p62 (forall (@list @t1 @t77 @t17) (tptp.sort1 @t78 (tptp.const @t77 @t1 @t17)))) % 101.86/102.04 (assume @p63 (forall (@list @t1 @t77 @t79 @t81) (=> @t86 (= (tptp.get @t77 @t1 (tptp.const @t77 @t1 @t79) @t81) @t79)))) % 101.86/102.04 (assume @p64 @t113) % 101.86/102.04 (assume @p65 (forall (@list @t114) (tptp.sort1 @t115 (tptp.t2tb2 @t114)))) % 101.86/102.04 (assume @p66 (forall (@list @t116) (= (tptp.tb2t2 (tptp.t2tb2 @t116)) @t116))) % 101.86/102.04 (assume @p67 @t118) % 101.86/102.04 (assume @p68 (forall (@list @t101 @t121) (= (tptp.partial_solution1 @t101 @t121) (forall @t58 (=> (and @t73 (< @t56 @t101)) (and (<= 0 @t124) (< @t124 tptp.n1) (forall @t128 (=> (and @t127 (< @t119 @t56)) (and (not (= @t124 @t123)) (not (= @t125 @t126)) (not (= @t125 (- @t119 @t56)))))))))))) % 101.86/102.04 (assume @p69 (forall (@list @t129 @t130 @t101) (=> (tptp.partial_solution1 @t101 @t130) (=> (tptp.eq_prefix1 tptp.int @t131 (tptp.t2tb2 @t129) @t101) (tptp.partial_solution1 @t101 @t129))))) % 101.86/102.04 (assume @p70 (forall (@list @t134 @t132) (= (tptp.lt_sol1 @t134 @t132) (exists @t58 (and @t73 @t136 (tptp.eq_prefix1 tptp.int @t135 @t133 @t56) (< (tptp.tb2t1 (tptp.get tptp.int tptp.int @t135 @t57)) (tptp.tb2t1 (tptp.get tptp.int tptp.int @t133 @t57)))))))) % 101.86/102.04 (assume @p71 (forall (@list @t137) (tptp.sort1 (tptp.map tptp.int @t115) (tptp.t2tb3 @t137)))) % 101.86/102.04 (assume @p72 (forall (@list @t138) (= (tptp.tb2t3 (tptp.t2tb3 @t138)) @t138))) % 101.86/102.04 (assume @p73 (forall @t53 (= (tptp.t2tb3 (tptp.tb2t3 @t52)) @t52))) % 101.86/102.04 (assume @p74 (forall @t149 (= @t148 (forall @t147 (=> @t146 (tptp.lt_sol1 (tptp.tb2t2 @t142) (tptp.tb2t2 @t141))))))) % 101.86/102.04 (assume @p75 (forall @t149 (=> @t148 (forall @t147 (=> @t146 (not (tptp.eq_prefix1 tptp.int @t142 @t141 tptp.n1))))))) % 101.86/102.04 (assume @p76 @t267) % 101.86/102.04 (assume @p77 true) % 101.86/102.04 (step @p78 :rule eq-symm :args (@t59 @t52)) % 101.86/102.04 (step @p79 :rule cong :premises (@p78) :args (@t60)) % 101.86/102.04 (step @p80 :rule eq_resolve :premises (@p45 @p79)) % 101.86/102.04 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t345))) % 101.86/102.04 (step @p82 :rule eq-symm :args (@t117 @t52)) % 101.86/102.04 (step @p83 :rule cong :premises (@p82) :args (@t118)) % 101.86/102.04 (step @p84 :rule eq_resolve :premises (@p67 @p83)) % 101.86/102.04 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t343))) % 101.86/102.04 (step @p86 :rule aci_norm :args ((= (or @t347 false @t346) (or @t347 @t346)))) % 101.86/102.04 (step @p87 :rule refl :args (@t346)) % 101.86/102.04 (step @p88 :rule evaluate :args ((not true))) % 101.86/102.04 (step @p89 :rule eq-refl :args (@t80)) % 101.86/102.04 (step @p90 :rule cong :premises (@p89) :args (@t348)) % 101.86/102.04 (step @p91 :rule trans :premises (@p90 @p88)) % 101.86/102.04 (step @p92 :rule refl :args (@t347)) % 101.86/102.04 (step @p93 :rule nary_cong :premises (@p92 @p91 @p87) :args (@t349)) % 101.86/102.04 (step @p94 :rule trans :premises (@p93 @p86)) % 101.86/102.04 (step @p95 :rule cong :premises (@p94) :args ((forall @t350 @t349))) % 101.86/102.04 (step @p96 :rule quant-var-elim-eq :args ((= (forall @t353 @t352) @t349))) % 101.86/102.04 (step @p97 :rule aci_norm :args ((= @t354 @t352))) % 101.86/102.04 (step @p98 :rule cong :premises (@p97) :args (@t355)) % 101.86/102.04 (step @p99 :rule trans :premises (@p98 @p96)) % 101.86/102.04 (step @p100 :rule cong :premises (@p99) :args (@t356)) % 101.86/102.04 (step @p101 :rule quant-merge-prenex :args ((= @t356 @t357))) % 101.86/102.04 (step @p102 :rule symm :premises (@p101)) % 101.86/102.04 (step @p103 :rule quant_var_reordering :args ((= (forall @t88 @t354) @t357))) % 101.86/102.04 (step @p104 :rule trans :premises (@p103 @p102 @p100)) % 101.86/102.04 (step @p105 :rule trans :premises (@p104 @p95)) % 101.86/102.04 (step @p106 :rule aci_norm :args ((= (or @t347 (or @t92 @t351)) @t354))) % 101.86/102.04 (step @p107 :rule bool-impl-elim :args (@t84 @t351)) % 101.86/102.04 (step @p108 :rule refl :args (@t347)) % 101.86/102.04 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t347 @t358))) % 101.86/102.04 (step @p110 :rule trans :premises (@p109 @p106)) % 101.86/102.04 (step @p111 :rule bool-impl-elim :args (@t86 @t358)) % 101.86/102.04 (step @p112 :rule trans :premises (@p111 @p110)) % 101.86/102.04 (step @p113 :rule cong :premises (@p112) :args ((forall @t88 (=> @t86 @t358)))) % 101.86/102.04 (step @p114 :rule trans :premises (@p113 @p105)) % 101.86/102.04 (step @p115 :rule eq-symm :args (@t83 @t79)) % 101.86/102.04 (step @p116 :rule refl :args (@t84)) % 101.86/102.04 (step @p117 :rule cong :premises (@p116 @p115) :args (@t85)) % 101.86/102.04 (step @p118 :rule refl :args (@t86)) % 101.86/102.04 (step @p119 :rule cong :premises (@p118 @p117) :args (@t87)) % 101.86/102.04 (step @p120 :rule cong :premises (@p119) :args (@t89)) % 101.86/102.04 (step @p121 :rule trans :premises (@p120 @p114)) % 101.86/102.04 (step @p122 :rule eq_resolve :premises (@p60 @p121)) % 101.86/102.04 (step @p123 :rule instantiate :premises (@p122) :args ((@list tptp.int tptp.int @t342 @t340 @t335))) % 101.86/102.04 (step @p124 :rule instantiate :premises (@p43) :args ((@list @t334))) % 101.86/102.04 (step @p125 :rule cnf_or_pos :args (@t363)) % 101.86/102.04 (step @p126 :rule reordering :premises (@p125) :args ((or @t362 @t360 (not @t363)))) % 101.86/102.04 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p123) :args (@t360 @t364 (@list @t361 @t363))) % 101.86/102.04 (step @p128 :rule aci_norm :args ((= (or @t366 (or @t365 @t39)) @t367))) % 101.86/102.04 (step @p129 :rule bool-impl-elim :args (@t38 @t39)) % 101.86/102.04 (step @p130 :rule refl :args (@t366)) % 101.86/102.04 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t366 @t40))) % 101.86/102.04 (step @p132 :rule trans :premises (@p131 @p128)) % 101.86/102.04 (step @p133 :rule bool-impl-elim :args (@t21 @t40)) % 101.86/102.04 (step @p134 :rule trans :premises (@p133 @p132)) % 101.86/102.04 (step @p135 :rule cong :premises (@p134) :args (@t42)) % 101.86/102.04 (step @p136 :rule eq_resolve :premises (@p21 @p135)) % 101.86/102.04 (step @p137 :rule refl :args (@t370)) % 101.86/102.04 (step @p138 :rule eq-symm :args (@t369 @t335)) % 101.86/102.04 (step @p139 :rule cong :premises (@p138) :args (@t371)) % 101.86/102.04 (step @p140 :rule nary_cong :premises (@p139 @p137) :args (@t372)) % 101.86/102.04 (step @p141 :rule refl :args (@t373)) % 101.86/102.04 (step @p142 :rule cong :premises (@p141 @p140) :args (@t374)) % 101.86/102.04 (step @p143 :rule refl :args (@t362)) % 101.86/102.04 (step @p144 :rule refl :args (@t376)) % 101.86/102.04 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args (@t377)) % 101.86/102.04 (step @p146 :rule refl :args (@t378)) % 101.86/102.04 (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t378 @t377))) % 101.86/102.04 (assume-push @p1126 @t378) % 101.86/102.04 (step @p149 :rule instantiate :premises (@p136) :args ((@list tptp.int @t369 @t335 @t336))) % 101.86/102.04 (step-pop @p1127 :rule scope :premises (@p149)) % 101.86/102.04 (step @p150 :rule process_scope :premises (@p1127) :args (@t377)) % 101.86/102.04 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 101.86/102.04 (step @p153 :rule implies_elim :premises (@p152)) % 101.86/102.04 (step @p154 :rule chain_m_resolution :premises (@p153 @p136) :args (@t383 @t384 (@list @t378))) % 101.86/102.04 (step @p155 :rule instantiate :premises (@p43) :args (@t385)) % 101.86/102.04 (step @p156 :rule cnf_or_pos :args (@t383)) % 101.86/102.04 (step @p157 :rule reordering :premises (@p156) :args ((or @t376 @t362 @t382 (not @t383)))) % 101.86/102.04 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p124 @p154) :args (@t382 (@list false false false) (@list @t375 @t361 @t383))) % 101.86/102.04 (step @p159 :rule aci_norm :args ((= (or @t327 false @t326 @t324 @t318 @t316 @t307 @t226 @t306 @t305 @t304 @t303 @t302 @t297 @t288 @t287 @t284 @t282 @t273 @t272) @t328))) % 101.86/102.04 (step @p160 :rule refl :args (0)) % 101.86/102.04 (step @p161 :rule arith_poly_norm :args ((= @t386 @t271))) % 101.86/102.04 (step @p162 :rule arith_poly_norm :args ((= @t387 @t386))) % 101.86/102.04 (step @p163 :rule trans :premises (@p162 @p161)) % 101.86/102.04 (step @p164 :rule cong :premises (@p163 @p160) :args (@t388)) % 101.86/102.04 (step @p165 :rule cong :premises (@p164) :args (@t389)) % 101.86/102.04 (step @p166 :rule refl :args (@t273)) % 101.86/102.04 (step @p167 :rule refl :args (@t282)) % 101.86/102.04 (step @p168 :rule refl :args (@t284)) % 101.86/102.04 (step @p169 :rule refl :args (@t287)) % 101.86/102.04 (step @p170 :rule refl :args (@t288)) % 101.86/102.04 (step @p171 :rule refl :args (@t297)) % 101.86/102.04 (step @p172 :rule refl :args (@t302)) % 101.86/102.04 (step @p173 :rule refl :args (@t303)) % 101.86/102.04 (step @p174 :rule refl :args (@t304)) % 101.86/102.04 (step @p175 :rule refl :args (@t305)) % 101.86/102.04 (step @p176 :rule refl :args (@t306)) % 101.86/102.04 (step @p177 :rule refl :args (@t226)) % 101.86/102.04 (step @p178 :rule refl :args (@t307)) % 101.86/102.04 (step @p179 :rule arith_poly_norm :args ((= (+ @t390 @t119 @t232) @t309))) % 101.86/102.04 (step @p180 :rule refl :args (@t232)) % 101.86/102.04 (step @p181 :rule refl :args (@t119)) % 101.86/102.04 (step @p182 :rule arith_poly_norm :args ((= @t391 @t390))) % 101.86/102.04 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180) :args (@t392)) % 101.86/102.04 (step @p184 :rule trans :premises (@p183 @p179)) % 101.86/102.04 (step @p185 :rule refl :args (@t56)) % 101.86/102.04 (step @p186 :rule cong :premises (@p185 @p184) :args (@t393)) % 101.86/102.04 (step @p187 :rule cong :premises (@p186) :args (@t394)) % 101.86/102.04 (step @p188 :rule refl :args (1)) % 101.86/102.04 (step @p189 :rule arith_poly_norm :args ((= @t395 @t310))) % 101.86/102.04 (step @p190 :rule arith_poly_norm :args ((= @t396 @t395))) % 101.86/102.04 (step @p191 :rule trans :premises (@p190 @p189)) % 101.86/102.04 (step @p192 :rule cong :premises (@p191 @p188) :args (@t397)) % 101.86/102.04 (step @p193 :rule cong :premises (@p192) :args (@t398)) % 101.86/102.04 (step @p194 :rule refl :args (@t313)) % 101.86/102.04 (step @p195 :rule nary_cong :premises (@p194 @p193 @p187) :args (@t399)) % 101.86/102.04 (step @p196 :rule cong :premises (@p195) :args (@t400)) % 101.86/102.04 (step @p197 :rule refl :args (@t238)) % 101.86/102.04 (step @p198 :rule cong :premises (@p197 @p196) :args (@t401)) % 101.86/102.04 (step @p199 :rule refl :args (@t315)) % 101.86/102.04 (step @p200 :rule nary_cong :premises (@p199 @p198) :args (@t402)) % 101.86/102.04 (step @p201 :rule cong :premises (@p200) :args (@t403)) % 101.86/102.04 (step @p202 :rule cong :premises (@p201) :args (@t404)) % 101.86/102.04 (step @p203 :rule arith_poly_norm :args ((= @t405 @t317))) % 101.86/102.04 (step @p204 :rule arith_poly_norm :args ((= @t406 @t405))) % 101.86/102.04 (step @p205 :rule trans :premises (@p204 @p203)) % 101.86/102.04 (step @p206 :rule cong :premises (@p185 @p205) :args (@t407)) % 101.86/102.04 (step @p207 :rule cong :premises (@p206) :args (@t408)) % 101.86/102.04 (step @p208 :rule nary_cong :premises (@p194 @p193 @p207) :args (@t409)) % 101.86/102.04 (step @p209 :rule cong :premises (@p208) :args (@t410)) % 101.86/102.04 (step @p210 :rule refl :args (@t248)) % 101.86/102.04 (step @p211 :rule cong :premises (@p210 @p209) :args (@t411)) % 101.86/102.04 (step @p212 :rule nary_cong :premises (@p199 @p211) :args (@t412)) % 101.86/102.04 (step @p213 :rule cong :premises (@p212) :args (@t413)) % 101.86/102.04 (step @p214 :rule cong :premises (@p213) :args (@t414)) % 101.86/102.04 (step @p215 :rule refl :args (@t320)) % 101.86/102.04 (step @p216 :rule nary_cong :premises (@p194 @p193 @p215) :args (@t415)) % 101.86/102.04 (step @p217 :rule cong :premises (@p216) :args (@t416)) % 101.86/102.04 (step @p218 :rule refl :args (@t323)) % 101.86/102.04 (step @p219 :rule refl :args (@t314)) % 101.86/102.04 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217) :args (@t417)) % 101.86/102.04 (step @p221 :rule refl :args (@t257)) % 101.86/102.04 (step @p222 :rule cong :premises (@p221 @p220) :args (@t418)) % 101.86/102.04 (step @p223 :rule cong :premises (@p222) :args (@t419)) % 101.86/102.04 (step @p224 :rule cong :premises (@p223) :args (@t420)) % 101.86/102.04 (step @p225 :rule refl :args (@t326)) % 101.86/102.04 (step @p226 :rule eq-refl :args (tptp.n1)) % 101.86/102.04 (step @p227 :rule arith_poly_norm :args ((= @t421 tptp.n1))) % 101.86/102.04 (step @p228 :rule arith_poly_norm :args ((= @t422 @t421))) % 101.86/102.04 (step @p229 :rule trans :premises (@p228 @p227)) % 101.86/102.04 (step @p230 :rule refl :args (tptp.n1)) % 101.86/102.04 (step @p231 :rule cong :premises (@p230 @p229) :args (@t423)) % 101.86/102.04 (step @p232 :rule trans :premises (@p231 @p226)) % 101.86/102.04 (step @p233 :rule cong :premises (@p232) :args (@t424)) % 101.86/102.04 (step @p234 :rule trans :premises (@p233 @p88)) % 101.86/102.04 (step @p235 :rule refl :args (@t327)) % 101.86/102.04 (step @p236 :rule nary_cong :premises (@p235 @p234 @p225 @p224 @p214 @p202 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165) :args (@t425)) % 101.86/102.04 (step @p237 :rule trans :premises (@p236 @p159)) % 101.86/102.04 (step @p238 :rule cong :premises (@p237) :args ((forall @t329 @t425))) % 101.86/102.04 (step @p239 :rule quant-var-elim-eq :args ((= (forall @t108 (or (not @t458) @t457 @t455 @t326 @t453 @t450 @t443 @t432 @t226 @t306 @t305 @t431 @t303 @t302 @t430 @t428 @t287 @t284 @t427 @t273 @t426)) @t425))) % 101.86/102.04 (step @p240 :rule refl :args (@t426)) % 101.86/102.04 (step @p241 :rule refl :args (@t273)) % 101.86/102.04 (step @p242 :rule refl :args (@t427)) % 101.86/102.04 (step @p243 :rule refl :args (@t284)) % 101.86/102.04 (step @p244 :rule refl :args (@t287)) % 101.86/102.04 (step @p245 :rule refl :args (@t428)) % 101.86/102.04 (step @p246 :rule refl :args (@t430)) % 101.86/102.04 (step @p247 :rule refl :args (@t302)) % 101.86/102.04 (step @p248 :rule refl :args (@t303)) % 101.86/102.04 (step @p249 :rule refl :args (@t431)) % 101.86/102.04 (step @p250 :rule refl :args (@t305)) % 101.86/102.04 (step @p251 :rule refl :args (@t306)) % 101.86/102.04 (step @p252 :rule refl :args (@t226)) % 101.86/102.04 (step @p253 :rule refl :args (@t432)) % 101.86/102.04 (step @p254 :rule refl :args (@t443)) % 101.86/102.04 (step @p255 :rule refl :args (@t450)) % 101.86/102.04 (step @p256 :rule refl :args (@t453)) % 101.86/102.04 (step @p257 :rule refl :args (@t326)) % 101.86/102.04 (step @p258 :rule refl :args (@t455)) % 101.86/102.04 (step @p259 :rule refl :args (@t457)) % 101.86/102.04 (step @p260 :rule arith_poly_norm :args ((= @t459 (* 1 (- @t101 @t278))))) % 101.86/102.04 (step @p261 :rule arith_poly_norm_rel :premises (@p260) :args ((= @t454 @t458))) % 101.86/102.04 (step @p262 :rule cong :premises (@p261) :args (@t455)) % 101.86/102.04 (step @p263 :rule nary_cong :premises (@p262 @p259 @p258 @p257 @p256 @p255 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247 @p246 @p245 @p244 @p243 @p242 @p241 @p240) :args (@t460)) % 101.86/102.04 (step @p264 :rule aci_norm :args ((= @t461 @t460))) % 101.86/102.04 (step @p265 :rule trans :premises (@p264 @p263)) % 101.86/102.04 (step @p266 :rule cong :premises (@p265) :args (@t462)) % 101.86/102.04 (step @p267 :rule trans :premises (@p266 @p239)) % 101.86/102.04 (step @p268 :rule cong :premises (@p267) :args (@t463)) % 101.86/102.04 (step @p269 :rule quant-merge-prenex :args ((= @t463 @t464))) % 101.86/102.04 (step @p270 :rule symm :premises (@p269)) % 101.86/102.04 (step @p271 :rule quant_var_reordering :args ((= (forall @t465 @t461) @t464))) % 101.86/102.04 (step @p272 :rule trans :premises (@p271 @p270 @p268)) % 101.86/102.04 (step @p273 :rule trans :premises (@p272 @p238)) % 101.86/102.04 (step @p274 :rule aci_norm :args ((= @t467 @t461))) % 101.86/102.04 (step @p275 :rule cong :premises (@p274) :args (@t468)) % 101.86/102.04 (step @p276 :rule trans :premises (@p275 @p273)) % 101.86/102.04 (step @p277 :rule quant-merge-prenex :args ((= (forall @t265 @t470) @t468))) % 101.86/102.04 (step @p278 :rule alpha_equiv :args (@t471 (@list @t274 @t290 @t285 @t280 @t269) (@list @t161 @t195 @t186 @t174 @t472))) % 101.86/102.04 (step @p279 :rule nary_cong :premises (@p259 @p258 @p257 @p256 @p255 @p254 @p253 @p252 @p278) :args (@t473)) % 101.86/102.04 (step @p280 :rule quant-miniscope-or :args ((= @t470 @t473))) % 101.86/102.04 (step @p281 :rule trans :premises (@p280 @p279)) % 101.86/102.04 (step @p282 :rule symm :premises (@p281)) % 101.86/102.04 (step @p283 :rule cong :premises (@p282) :args ((forall @t265 @t501))) % 101.86/102.04 (step @p284 :rule trans :premises (@p283 @p277)) % 101.86/102.04 (step @p285 :rule trans :premises (@p284 @p276)) % 101.86/102.04 (step @p286 :rule aci_norm :args ((= (or @t502 (or @t226 @t500)) @t501))) % 101.86/102.04 (step @p287 :rule refl :args (@t500)) % 101.86/102.04 (step @p288 :rule bool-double-not-elim :args (@t226)) % 101.86/102.04 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or (not @t227) @t500))) % 101.86/102.04 (step @p290 :rule bool-impl-elim :args (@t227 @t500)) % 101.86/102.04 (step @p291 :rule trans :premises (@p290 @p289)) % 101.86/102.04 (step @p292 :rule aci_norm :args ((= (or @t457 (or @t455 (or @t326 (or @t453 (or @t450 (or @t443 @t432)))))) @t502))) % 101.86/102.04 (step @p293 :rule bool-and-de-morgan :args (@t442 @t229 true)) % 101.86/102.04 (step @p294 :rule nary_cong :premises (@p255 @p293) :args ((or @t450 (not (and @t442 @t229))))) % 101.86/102.04 (step @p295 :rule bool-and-de-morgan :args (@t449 @t442 (and @t229))) % 101.86/102.04 (step @p296 :rule trans :premises (@p295 @p294)) % 101.86/102.04 (step @p297 :rule nary_cong :premises (@p256 @p296) :args ((or @t453 (not (and @t449 @t442 @t229))))) % 101.86/102.04 (step @p298 :rule bool-and-de-morgan :args (@t452 @t449 (and @t442 @t229))) % 101.86/102.04 (step @p299 :rule trans :premises (@p298 @p297)) % 101.86/102.04 (step @p300 :rule nary_cong :premises (@p257 @p299) :args ((or @t326 (not (and @t452 @t449 @t442 @t229))))) % 101.86/102.04 (step @p301 :rule bool-and-de-morgan :args (@t325 @t452 (and @t449 @t442 @t229))) % 101.86/102.04 (step @p302 :rule trans :premises (@p301 @p300)) % 101.86/102.04 (step @p303 :rule nary_cong :premises (@p258 @p302) :args ((or @t455 (not (and @t325 @t452 @t449 @t442 @t229))))) % 101.86/102.04 (step @p304 :rule bool-and-de-morgan :args (@t454 @t325 (and @t452 @t449 @t442 @t229))) % 101.86/102.04 (step @p305 :rule trans :premises (@p304 @p303)) % 101.86/102.04 (step @p306 :rule nary_cong :premises (@p259 @p305) :args ((or @t457 (not (and @t454 @t325 @t452 @t449 @t442 @t229))))) % 101.86/102.04 (step @p307 :rule bool-and-de-morgan :args (@t456 @t454 (and @t325 @t452 @t449 @t442 @t229))) % 101.86/102.04 (step @p308 :rule trans :premises (@p307 @p306)) % 101.86/102.04 (step @p309 :rule trans :premises (@p308 @p292)) % 101.86/102.04 (step @p310 :rule nary_cong :premises (@p309 @p291) :args ((or (not @t504) @t503))) % 101.86/102.04 (step @p311 :rule trans :premises (@p310 @p286)) % 101.86/102.04 (step @p312 :rule bool-impl-elim :args (@t504 @t503)) % 101.86/102.04 (step @p313 :rule trans :premises (@p312 @p311)) % 101.86/102.04 (step @p314 :rule cong :premises (@p313) :args ((forall @t265 (=> @t504 @t503)))) % 101.86/102.04 (step @p315 :rule trans :premises (@p314 @p285)) % 101.86/102.04 (step @p316 :rule aci_norm :args ((= (or @t497 false @t495 @t494 @t493 @t492 @t487 @t480 @t479 @t182 @t478 @t476 @t475) @t498))) % 101.86/102.04 (step @p317 :rule refl :args (@t475)) % 101.86/102.04 (step @p318 :rule refl :args (@t476)) % 101.86/102.04 (step @p319 :rule refl :args (@t478)) % 101.86/102.04 (step @p320 :rule refl :args (@t182)) % 101.86/102.04 (step @p321 :rule refl :args (@t479)) % 101.86/102.04 (step @p322 :rule refl :args (@t480)) % 101.86/102.04 (step @p323 :rule eq-symm :args (@t481 @t486)) % 101.86/102.04 (step @p324 :rule cong :premises (@p323) :args (@t505)) % 101.86/102.04 (step @p325 :rule cong :premises (@p324) :args (@t506)) % 101.86/102.04 (step @p326 :rule refl :args (@t492)) % 101.86/102.04 (step @p327 :rule refl :args (@t493)) % 101.86/102.04 (step @p328 :rule refl :args (@t494)) % 101.86/102.04 (step @p329 :rule refl :args (@t495)) % 101.86/102.04 (step @p330 :rule eq-refl :args (@t101)) % 101.86/102.04 (step @p331 :rule cong :premises (@p330) :args (@t507)) % 101.86/102.04 (step @p332 :rule trans :premises (@p331 @p88)) % 101.86/102.04 (step @p333 :rule refl :args (@t497)) % 101.86/102.04 (step @p334 :rule nary_cong :premises (@p333 @p332 @p329 @p328 @p327 @p326 @p325 @p322 @p321 @p320 @p319 @p318 @p317) :args (@t508)) % 101.86/102.04 (step @p335 :rule trans :premises (@p334 @p316)) % 101.86/102.04 (step @p336 :rule cong :premises (@p335) :args ((forall @t499 @t508))) % 101.86/102.04 (step @p337 :rule quant-var-elim-eq :args ((= (forall @t518 (or (not @t217) @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509)) @t508))) % 101.86/102.04 (step @p338 :rule refl :args (@t509)) % 101.86/102.04 (step @p339 :rule refl :args (@t476)) % 101.86/102.04 (step @p340 :rule refl :args (@t511)) % 101.86/102.04 (step @p341 :rule refl :args (@t182)) % 101.86/102.04 (step @p342 :rule refl :args (@t479)) % 101.86/102.04 (step @p343 :rule refl :args (@t512)) % 101.86/102.04 (step @p344 :rule refl :args (@t514)) % 101.86/102.04 (step @p345 :rule refl :args (@t492)) % 101.86/102.04 (step @p346 :rule refl :args (@t493)) % 101.86/102.04 (step @p347 :rule refl :args (@t515)) % 101.86/102.04 (step @p348 :rule refl :args (@t495)) % 101.86/102.04 (step @p349 :rule refl :args (@t517)) % 101.86/102.04 (step @p350 :rule refl :args (@t497)) % 101.86/102.04 (step @p351 :rule arith_poly_norm :args ((= @t520 @t519))) % 101.86/102.04 (step @p352 :rule arith_poly_norm_rel :premises (@p351) :args ((= @t516 @t217))) % 101.86/102.04 (step @p353 :rule cong :premises (@p352) :args (@t517)) % 101.86/102.04 (step @p354 :rule nary_cong :premises (@p353 @p350 @p349 @p348 @p347 @p346 @p345 @p344 @p343 @p342 @p341 @p340 @p339 @p338) :args (@t521)) % 101.86/102.04 (step @p355 :rule aci_norm :args ((= @t522 @t521))) % 101.86/102.04 (step @p356 :rule trans :premises (@p355 @p354)) % 101.86/102.04 (step @p357 :rule cong :premises (@p356) :args (@t523)) % 101.86/102.04 (step @p358 :rule trans :premises (@p357 @p337)) % 101.86/102.04 (step @p359 :rule cong :premises (@p358) :args (@t524)) % 101.86/102.04 (step @p360 :rule quant-merge-prenex :args ((= @t524 @t525))) % 101.86/102.04 (step @p361 :rule symm :premises (@p360)) % 101.86/102.04 (step @p362 :rule quant_var_reordering :args ((= (forall @t526 @t522) @t525))) % 101.86/102.04 (step @p363 :rule trans :premises (@p362 @p361 @p359)) % 101.86/102.04 (step @p364 :rule trans :premises (@p363 @p336)) % 101.86/102.04 (step @p365 :rule aci_norm :args ((= (or false @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509) @t522))) % 101.86/102.04 (step @p366 :rule refl :args (@t509)) % 101.86/102.04 (step @p367 :rule refl :args (@t511)) % 101.86/102.04 (step @p368 :rule refl :args (@t512)) % 101.86/102.04 (step @p369 :rule refl :args (@t514)) % 101.86/102.04 (step @p370 :rule refl :args (@t515)) % 101.86/102.04 (step @p371 :rule refl :args (@t517)) % 101.86/102.04 (step @p372 :rule eq-refl :args (@t185)) % 101.86/102.04 (step @p373 :rule arith_poly_norm :args ((= (+ @t496 @t195) @t185))) % 101.86/102.04 (step @p374 :rule refl :args (@t195)) % 101.86/102.04 (step @p375 :rule arith_poly_norm :args ((= (* -1 @t527) @t496))) % 101.86/102.04 (step @p376 :rule arith_poly_norm :args ((= @t528 @t527))) % 101.86/102.04 (step @p377 :rule refl :args (-1)) % 101.86/102.04 (step @p378 :rule nary_cong :premises (@p377 @p376) :args (@t529)) % 101.86/102.04 (step @p379 :rule trans :premises (@p378 @p375)) % 101.86/102.04 (step @p380 :rule nary_cong :premises (@p379 @p374) :args (@t530)) % 101.86/102.04 (step @p381 :rule trans :premises (@p380 @p373)) % 101.86/102.04 (step @p382 :rule refl :args (@t185)) % 101.86/102.04 (step @p383 :rule cong :premises (@p382 @p381) :args (@t531)) % 101.86/102.04 (step @p384 :rule trans :premises (@p383 @p372)) % 101.86/102.04 (step @p385 :rule cong :premises (@p384) :args (@t532)) % 101.86/102.04 (step @p386 :rule trans :premises (@p385 @p88)) % 101.86/102.04 (step @p387 :rule nary_cong :premises (@p386 @p333 @p371 @p329 @p370 @p327 @p326 @p369 @p368 @p321 @p320 @p367 @p318 @p366) :args (@t533)) % 101.86/102.04 (step @p388 :rule trans :premises (@p387 @p365)) % 101.86/102.04 (step @p389 :rule cong :premises (@p388) :args ((forall @t526 @t533))) % 101.86/102.04 (step @p390 :rule trans :premises (@p389 @p364)) % 101.86/102.04 (step @p391 :rule quant-var-elim-eq :args ((= (forall @t538 (or (not @t537) @t536 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479 @t182 @t511 @t476 @t509)) @t533))) % 101.86/102.04 (step @p392 :rule refl :args (@t536)) % 101.86/102.04 (step @p393 :rule arith_poly_norm :args ((= @t539 (* 1 (- @t220 @t528))))) % 101.86/102.04 (step @p394 :rule arith_poly_norm_rel :premises (@p393) :args ((= @t535 @t537))) % 101.86/102.04 (step @p395 :rule cong :premises (@p394) :args (@t536)) % 101.86/102.04 (step @p396 :rule nary_cong :premises (@p395 @p392 @p350 @p349 @p348 @p347 @p346 @p345 @p344 @p343 @p342 @p341 @p340 @p339 @p338) :args (@t540)) % 101.86/102.04 (step @p397 :rule aci_norm :args ((= @t541 @t540))) % 101.86/102.04 (step @p398 :rule trans :premises (@p397 @p396)) % 101.86/102.04 (step @p399 :rule cong :premises (@p398) :args (@t542)) % 101.86/102.04 (step @p400 :rule trans :premises (@p399 @p391)) % 101.86/102.04 (step @p401 :rule cong :premises (@p400) :args (@t543)) % 101.86/102.04 (step @p402 :rule quant-merge-prenex :args ((= @t543 @t544))) % 101.86/102.04 (step @p403 :rule symm :premises (@p402)) % 101.86/102.04 (step @p404 :rule quant_var_reordering :args ((= (forall @t545 @t541) @t544))) % 101.86/102.04 (step @p405 :rule trans :premises (@p404 @p403 @p401)) % 101.86/102.04 (step @p406 :rule trans :premises (@p405 @p390)) % 101.86/102.04 (step @p407 :rule aci_norm :args ((= @t547 @t541))) % 101.86/102.04 (step @p408 :rule cong :premises (@p407) :args (@t548)) % 101.86/102.04 (step @p409 :rule trans :premises (@p408 @p406)) % 101.86/102.04 (step @p410 :rule quant-merge-prenex :args ((= (forall @t224 @t550) @t548))) % 101.86/102.04 (step @p411 :rule alpha_equiv :args (@t551 (@list @t472) @t553)) % 101.86/102.04 (step @p412 :rule nary_cong :premises (@p392 @p350 @p349 @p348 @p347 @p346 @p345 @p344 @p343 @p342 @p341 @p411) :args (@t554)) % 101.86/102.04 (step @p413 :rule quant-miniscope-or :args ((= @t550 @t554))) % 101.86/102.04 (step @p414 :rule trans :premises (@p413 @p412)) % 101.86/102.04 (step @p415 :rule symm :premises (@p414)) % 101.86/102.04 (step @p416 :rule cong :premises (@p415) :args ((forall @t224 @t562))) % 101.86/102.04 (step @p417 :rule trans :premises (@p416 @p410)) % 101.86/102.04 (step @p418 :rule trans :premises (@p417 @p409)) % 101.86/102.04 (step @p419 :rule aci_norm :args ((= (or (or @t536 @t497 @t517 @t495 @t515 @t493 @t492 @t514 @t512 @t479) (or @t182 @t561)) @t562))) % 101.86/102.04 (step @p420 :rule refl :args (@t561)) % 101.86/102.04 (step @p421 :rule bool-double-not-elim :args (@t182)) % 101.86/102.04 (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or (not @t183) @t561))) % 101.86/102.04 (step @p423 :rule bool-impl-elim :args (@t183 @t561)) % 101.86/102.04 (step @p424 :rule trans :premises (@p423 @p422)) % 101.86/102.04 (step @p425 :rule bool-double-not-elim :args (@t497)) % 101.86/102.04 (step @p426 :rule nary_cong :premises (@p392 @p425 @p349 @p348 @p347 @p346 @p345 @p344 @p343 @p342) :args (@t565)) % 101.86/102.04 (step @p427 :rule aci_norm :args ((= (or @t536 (or @t564 (or @t517 (or @t495 (or @t515 (or @t493 (or @t492 (or @t514 (or @t512 @t479))))))))) @t565))) % 101.86/102.04 (step @p428 :rule trans :premises (@p427 @p426)) % 101.86/102.04 (step @p429 :rule bool-and-de-morgan :args (@t193 @t190 true)) % 101.86/102.04 (step @p430 :rule nary_cong :premises (@p344 @p429) :args ((or @t514 (not (and @t193 @t190))))) % 101.86/102.04 (step @p431 :rule bool-and-de-morgan :args (@t513 @t193 (and @t190))) % 101.86/102.04 (step @p432 :rule trans :premises (@p431 @p430)) % 101.86/102.04 (step @p433 :rule nary_cong :premises (@p345 @p432) :args ((or @t492 (not (and @t513 @t193 @t190))))) % 101.86/102.04 (step @p434 :rule bool-and-de-morgan :args (@t491 @t513 (and @t193 @t190))) % 101.86/102.04 (step @p435 :rule trans :premises (@p434 @p433)) % 101.86/102.04 (step @p436 :rule nary_cong :premises (@p346 @p435) :args ((or @t493 (not (and @t491 @t513 @t193 @t190))))) % 101.86/102.04 (step @p437 :rule bool-and-de-morgan :args (@t214 @t491 (and @t513 @t193 @t190))) % 101.86/102.04 (step @p438 :rule trans :premises (@p437 @p436)) % 101.86/102.04 (step @p439 :rule nary_cong :premises (@p347 @p438) :args ((or @t515 (not (and @t214 @t491 @t513 @t193 @t190))))) % 101.86/102.04 (step @p440 :rule bool-and-de-morgan :args (@t215 @t214 (and @t491 @t513 @t193 @t190))) % 101.86/102.04 (step @p441 :rule trans :premises (@p440 @p439)) % 101.86/102.04 (step @p442 :rule nary_cong :premises (@p348 @p441) :args ((or @t495 (not (and @t215 @t214 @t491 @t513 @t193 @t190))))) % 101.86/102.04 (step @p443 :rule bool-and-de-morgan :args (@t216 @t215 (and @t214 @t491 @t513 @t193 @t190))) % 101.86/102.04 (step @p444 :rule trans :premises (@p443 @p442)) % 101.86/102.04 (step @p445 :rule nary_cong :premises (@p349 @p444) :args ((or @t517 (not (and @t216 @t215 @t214 @t491 @t513 @t193 @t190))))) % 101.86/102.04 (step @p446 :rule bool-and-de-morgan :args (@t516 @t216 (and @t215 @t214 @t491 @t513 @t193 @t190))) % 101.86/102.04 (step @p447 :rule trans :premises (@p446 @p445)) % 101.86/102.04 (step @p448 :rule refl :args (@t564)) % 101.86/102.04 (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t564 (not (and @t516 @t216 @t215 @t214 @t491 @t513 @t193 @t190))))) % 101.86/102.04 (step @p450 :rule bool-and-de-morgan :args (@t563 @t516 (and @t216 @t215 @t214 @t491 @t513 @t193 @t190))) % 101.86/102.04 (step @p451 :rule trans :premises (@p450 @p449)) % 101.86/102.04 (step @p452 :rule nary_cong :premises (@p392 @p451) :args ((or @t536 (not (and @t563 @t516 @t216 @t215 @t214 @t491 @t513 @t193 @t190))))) % 101.86/102.04 (step @p453 :rule bool-and-de-morgan :args (@t535 @t563 (and @t516 @t216 @t215 @t214 @t491 @t513 @t193 @t190))) % 101.86/102.04 (step @p454 :rule trans :premises (@p453 @p452)) % 101.86/102.04 (step @p455 :rule trans :premises (@p454 @p428)) % 101.86/102.04 (step @p456 :rule nary_cong :premises (@p455 @p424) :args ((or (not @t567) @t566))) % 101.86/102.04 (step @p457 :rule trans :premises (@p456 @p419)) % 101.86/102.04 (step @p458 :rule bool-impl-elim :args (@t567 @t566)) % 101.86/102.04 (step @p459 :rule trans :premises (@p458 @p457)) % 101.86/102.04 (step @p460 :rule cong :premises (@p459) :args ((forall @t224 (=> @t567 @t566)))) % 101.86/102.04 (step @p461 :rule trans :premises (@p460 @p418)) % 101.86/102.04 (step @p462 :rule aci_norm :args ((= (or false @t558 @t556 @t555) @t559))) % 101.86/102.04 (step @p463 :rule refl :args (@t555)) % 101.86/102.04 (step @p464 :rule refl :args (@t556)) % 101.86/102.04 (step @p465 :rule refl :args (@t558)) % 101.86/102.04 (step @p466 :rule eq-refl :args (@t176)) % 101.86/102.04 (step @p467 :rule cong :premises (@p466) :args (@t568)) % 101.86/102.04 (step @p468 :rule trans :premises (@p467 @p88)) % 101.86/102.04 (step @p469 :rule nary_cong :premises (@p468 @p465 @p464 @p463) :args (@t569)) % 101.86/102.04 (step @p470 :rule trans :premises (@p469 @p462)) 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implies_elim :premises (@p937)) % 101.86/102.04 (step @p939 :rule chain_m_resolution :premises (@p938 @p926) :args (@t751 @t384 (@list @t742))) % 101.86/102.04 (step @p940 :rule cnf_or_pos :args (@t751)) % 101.86/102.04 (step @p941 :rule reordering :premises (@p940) :args ((or @t693 @t747 @t750 (not @t751)))) % 101.86/102.04 (step @p942 :rule bool-double-not-elim :args (@t711)) % 101.86/102.04 (step @p943 :rule nary_cong :premises (@p822 @p942) :args ((or @t713 (not @t712)))) % 101.86/102.04 (step @p944 :rule cnf_or_neg :args (@t713 2)) % 101.86/102.04 (step @p945 :rule eq_resolve :premises (@p944 @p943)) % 101.86/102.04 (step @p946 :rule reordering :premises (@p945) :args ((or @t711 @t713))) % 101.86/102.04 (step @p947 :rule chain_m_resolution :premises (@p946 @p820) :args (@t711 @t714 @t715)) % 101.86/102.04 (step @p948 :rule arith_poly_norm :args ((= (* 1 (- @t368 @t709)) (* -1 (- @t709 @t368))))) % 101.86/102.04 (step @p949 :rule arith_poly_norm_rel :premises (@p948) :args ((= @t753 @t752))) % 101.86/102.04 (step @p950 :rule cong :premises (@p949) :args (@t754)) % 101.86/102.04 (step @p951 :rule refl :args (@t710)) % 101.86/102.04 (step @p952 :rule nary_cong :premises (@p194 @p951 @p950) :args (@t755)) % 101.86/102.04 (step @p953 :rule cong :premises (@p952) :args (@t756)) % 101.86/102.04 (step @p954 :rule bool-double-not-elim :args (@t758)) % 101.86/102.04 (step @p955 :rule arith_poly_norm :args ((= (* -1 (- 1 @t760)) (* -1 (- @t759 0))))) % 101.86/102.04 (step @p956 :rule arith_poly_norm_rel :premises (@p955) :args ((= (>= 1 @t760) (>= @t759 0)))) % 101.86/102.04 (step @p957 :rule arith-geq-tighten :args (@t757 1)) % 101.86/102.04 (step @p958 :rule trans :premises (@p957 @p956)) % 101.86/102.04 (step @p959 :rule symm :premises (@p958)) % 101.86/102.04 (step @p960 :rule arith_poly_norm :args ((= @t761 @t759))) % 101.86/102.04 (step @p961 :rule cong :premises (@p960 @p160) :args (@t762)) % 101.86/102.04 (step @p962 :rule trans :premises (@p961 @p959)) % 101.86/102.04 (step @p963 :rule cong :premises (@p962) :args (@t763)) % 101.86/102.04 (step @p964 :rule trans :premises (@p963 @p954)) % 101.86/102.04 (step @p965 :rule refl :args (@t764)) % 101.86/102.04 (step @p966 :rule nary_cong :premises (@p965 @p964 @p953) :args (@t765)) % 101.86/102.04 (step @p967 :rule cong :premises (@p137 @p966) :args (@t766)) % 101.86/102.04 (step @p968 :rule refl :args (@t711)) % 101.86/102.04 (step @p969 :rule cong :premises (@p968 @p967) :args ((=> @t711 @t766))) % 101.86/102.04 (assume-push @p1148 @t711) % 101.86/102.04 (step @p971 :rule instantiate :premises (@p947) :args (@t385)) % 101.86/102.04 (step-pop @p1149 :rule scope :premises (@p971)) % 101.86/102.04 (step @p972 :rule process_scope :premises (@p1149) :args (@t766)) % 101.86/102.04 (step @p974 :rule eq_resolve :premises (@p972 @p969)) % 101.86/102.04 (step @p975 :rule implies_elim :premises (@p974)) % 101.86/102.04 (step @p976 :rule chain_m_resolution :premises (@p975 @p947) :args (@t769 @t384 (@list @t711))) % 101.86/102.04 (step @p977 :rule cnf_and_pos :args (@t381 1)) % 101.86/102.04 (step @p978 :rule reordering :premises (@p977) :args ((or @t370 @t716))) % 101.86/102.04 (step @p979 :rule chain_m_resolution :premises (@p978 @p830) :args (@t370 @t384 @t717)) % 101.86/102.04 (step @p980 :rule cnf_equiv_pos1 :args (@t769)) % 101.86/102.04 (step @p981 :rule reordering :premises (@p980) :args ((or @t768 (not @t370) (not @t769)))) % 101.86/102.04 (step @p982 :rule chain_m_resolution :premises (@p981 @p979 @p976) :args (@t768 @t364 (@list @t370 @t769))) % 101.86/102.04 (step @p983 :rule cnf_and_pos :args (@t768 2)) % 101.86/102.04 (step @p984 :rule reordering :premises (@p983) :args ((or @t767 (not @t768)))) % 101.86/102.04 (step @p985 :rule chain_m_resolution :premises (@p984 @p982) :args (@t767 @t384 (@list @t768))) % 101.86/102.04 (step @p986 :rule arith_poly_norm :args ((= (* 1 (- @t770 @t368)) (* -1 (- @t368 @t770))))) % 101.86/102.04 (step @p987 :rule arith_poly_norm_rel :premises (@p986) :args ((= @t772 @t771))) % 101.86/102.04 (step @p988 :rule cong :premises (@p987) :args (@t773)) % 101.86/102.04 (step @p989 :rule nary_cong :premises (@p929 @p928 @p988) :args (@t774)) % 101.86/102.04 (step @p990 :rule refl :args (@t767)) % 101.86/102.04 (step @p991 :rule cong :premises (@p990 @p989) :args ((=> @t767 @t774))) % 101.86/102.04 (assume-push @p1150 @t767) % 101.86/102.04 (step @p993 :rule instantiate :premises (@p985) :args (@t749)) % 101.86/102.04 (step-pop @p1151 :rule scope :premises (@p993)) % 101.86/102.04 (step @p994 :rule process_scope :premises (@p1151) :args (@t774)) % 101.86/102.04 (step @p996 :rule eq_resolve :premises (@p994 @p991)) % 101.86/102.04 (step @p997 :rule implies_elim :premises (@p996)) % 101.86/102.04 (step @p998 :rule chain_m_resolution :premises (@p997 @p985) :args (@t776 @t384 (@list @t767))) % 101.86/102.04 (step @p999 :rule cnf_or_pos :args (@t776)) % 101.86/102.04 (step @p1000 :rule reordering :premises (@p999) :args ((or @t693 @t747 @t775 (not @t776)))) % 101.86/102.04 (step @p1001 :rule eq-symm :args (@t778 @t90)) % 101.86/102.04 (step @p1002 :rule refl :args (@t779)) % 101.86/102.04 (step @p1003 :rule refl :args (@t780)) % 101.86/102.04 (step @p1004 :rule nary_cong :premises (@p1003 @p1002 @p116 @p1001) :args (@t782)) % 101.86/102.04 (step @p1005 :rule cong :premises (@p1004) :args (@t783)) % 101.86/102.04 (step @p1006 :rule quant-merge-prenex :args ((= (forall @t99 @t785) @t783))) % 101.86/102.04 (step @p1007 :rule alpha_equiv :args (@t786 (@list @t777) (@list @t79))) % 101.86/102.04 (step @p1008 :rule refl :args (@t84)) % 101.86/102.04 (step @p1009 :rule refl :args (@t779)) % 101.86/102.04 (step @p1010 :rule refl :args (@t780)) % 101.86/102.04 (step @p1011 :rule nary_cong :premises (@p1010 @p1009 @p1008 @p1007) :args (@t787)) % 101.86/102.04 (step @p1012 :rule quant-miniscope-or :args ((= @t785 @t787))) % 101.86/102.04 (step @p1013 :rule trans :premises (@p1012 @p1011)) % 101.86/102.04 (step @p1014 :rule symm :premises (@p1013)) % 101.86/102.04 (step @p1015 :rule cong :premises (@p1014) :args ((forall @t99 @t789))) % 101.86/102.04 (step @p1016 :rule trans :premises (@p1015 @p1006)) % 101.86/102.04 (step @p1017 :rule trans :premises (@p1016 @p1005)) % 101.86/102.04 (step @p1018 :rule aci_norm :args ((= (or @t780 @t790) @t789))) % 101.86/102.04 (step @p1019 :rule aci_norm :args ((= (or @t779 @t791) @t790))) % 101.86/102.04 (step @p1020 :rule bool-impl-elim :args (@t95 @t791)) % 101.86/102.04 (step @p1021 :rule trans :premises (@p1020 @p1019)) % 101.86/102.04 (step @p1022 :rule nary_cong :premises (@p1010 @p1021) :args ((or @t780 @t792))) % 101.86/102.04 (step @p1023 :rule trans :premises (@p1022 @p1018)) % 101.86/102.04 (step @p1024 :rule bool-impl-elim :args (@t97 @t792)) % 101.86/102.04 (step @p1025 :rule trans :premises (@p1024 @p1023)) % 101.86/102.04 (step @p1026 :rule cong :premises (@p1025) :args ((forall @t99 (=> @t97 @t792)))) % 101.86/102.04 (step @p1027 :rule trans :premises (@p1026 @p1017)) % 101.86/102.04 (step @p1028 :rule quant-miniscope-or :args ((= (forall @t93 (or @t84 @t91)) @t791))) % 101.86/102.04 (step @p1029 :rule refl :args (@t91)) % 101.86/102.04 (step @p1030 :rule bool-double-not-elim :args (@t84)) % 101.86/102.04 (step @p1031 :rule nary_cong :premises (@p1030 @p1029) :args ((or (not @t92) @t91))) % 101.86/102.04 (step @p1032 :rule bool-impl-elim :args (@t92 @t91)) % 101.86/102.04 (step @p1033 :rule trans :premises (@p1032 @p1031)) % 101.86/102.04 (step @p1034 :rule cong :premises (@p1033) :args (@t94)) % 101.86/102.04 (step @p1035 :rule trans :premises (@p1034 @p1028)) % 101.86/102.04 (step @p1036 :rule refl :args (@t95)) % 101.86/102.04 (step @p1037 :rule cong :premises (@p1036 @p1035) :args (@t96)) % 101.86/102.04 (step @p1038 :rule refl :args (@t97)) % 101.86/102.04 (step @p1039 :rule cong :premises (@p1038 @p1037) :args (@t98)) % 101.86/102.04 (step @p1040 :rule cong :premises (@p1039) :args (@t100)) % 101.86/102.04 (step @p1041 :rule trans :premises (@p1040 @p1027)) % 101.86/102.04 (step @p1042 :rule eq_resolve :premises (@p61 @p1041)) % 101.86/102.04 (step @p1043 :rule instantiate :premises (@p1042) :args ((@list tptp.int tptp.int @t342 @t340 @t332 @t335))) % 101.86/102.04 (step @p1044 :rule instantiate :premises (@p43) :args ((@list @t339))) % 101.86/102.04 (step @p1045 :rule instantiate :premises (@p43) :args (@t749)) % 101.86/102.04 (step @p1046 :rule cnf_or_pos :args (@t798)) % 101.86/102.04 (step @p1047 :rule reordering :premises (@p1046) :args ((or @t795 @t797 @t720 @t793 (not @t798)))) % 101.86/102.04 (step @p1048 :rule chain_m_resolution :premises (@p1047 @p1045 @p1044 @p864 @p1043) :args (@t793 (@list false false true false) (@list @t794 @t796 @t720 @t798))) % 101.86/102.04 (assume-push @p1152 @t719) % 101.86/102.04 (assume-push @p1153 @t793) % 101.86/102.04 (assume-push @p1154 @t750) % 101.86/102.04 (assume-push @p1155 @t750) % 101.86/102.04 (assume-push @p1156 @t793) % 101.86/102.04 (assume-push @p1157 @t719) % 101.86/102.04 (step @p1055 :rule symm :premises (@p1153)) % 101.86/102.04 (step @p842 :rule refl :args (@t332)) % 101.86/102.04 (step @p1056 :rule symm :premises (@p85)) % 101.86/102.04 (step @p843 :rule refl :args (tptp.int)) % 101.86/102.04 (step @p1057 :rule cong :premises (@p843 @p843 @p1056 @p842) :args (@t345)) % 101.86/102.04 (step @p1058 :rule trans :premises (@p1057 @p1055 @p1154)) % 101.86/102.04 (step @p1059 :rule cong :premises (@p1058) :args (@t368)) % 101.86/102.04 (step-pop @p1158 :rule scope :premises (@p1059)) % 101.86/102.04 (step-pop @p1159 :rule scope :premises (@p1158)) % 101.86/102.04 (step-pop @p1160 :rule scope :premises (@p1159)) % 101.86/102.04 (step @p1060 :rule process_scope :premises (@p1160) :args (@t771)) % 101.86/102.04 (step @p1064 :rule and_intro :premises (@p1154 @p1153 @p85)) % 101.86/102.04 (step @p1065 :rule modus_ponens :premises (@p1064 @p1060)) % 101.86/102.04 (step-pop @p1161 :rule scope :premises (@p1065)) % 101.86/102.04 (step-pop @p1162 :rule scope :premises (@p1161)) % 101.86/102.04 (step-pop @p1163 :rule scope :premises (@p1162)) % 101.86/102.04 (step @p1066 :rule process_scope :premises (@p1163) :args (@t771)) % 101.86/102.04 (step @p1070 :rule implies_elim :premises (@p1066)) % 101.86/102.04 (step @p1071 :rule cnf_and_neg :args (@t799)) % 101.86/102.04 (step @p1072 :rule resolution :premises (@p1071 @p1070) :args (true @t799)) % 101.86/102.04 (step @p1073 :rule reordering :premises (@p1072) :args ((or @t724 @t771 (not @t793) (not @t750)))) % 101.86/102.04 (step @p1074 :rule chain_m_resolution :premises (@p1073 @p1048 @p85 @p1000 @p998 @p870 @p941 @p939 @p870) :args (@t747 (@list false false true false false false false false) (@list @t793 @t719 @t771 @t776 @t692 @t750 @t751 @t692))) % 101.86/102.04 (step @p1075 :rule bool-double-not-elim :args (@t690)) % 101.86/102.04 (step @p1076 :rule nary_cong :premises (@p822 @p1075) :args ((or @t713 (not @t691)))) % 101.86/102.04 (step @p1077 :rule cnf_or_neg :args (@t713 18)) % 101.86/102.04 (step @p1078 :rule eq_resolve :premises (@p1077 @p1076)) % 101.86/102.04 (step @p1079 :rule reordering :premises (@p1078) :args ((or @t690 @t713))) % 101.86/102.04 (step @p1080 :rule chain_m_resolution :premises (@p1079 @p820) :args (@t690 @t714 @t715)) % 101.86/102.04 (step @p1081 :rule refl :args (@t801)) % 101.86/102.04 (step @p1082 :rule bool-double-not-elim :args (@t746)) % 101.86/102.04 (step @p1083 :rule refl :args (@t691)) % 101.86/102.04 (step @p1084 :rule nary_cong :premises (@p1083 @p1082 @p1081) :args ((or @t691 (not @t747) @t801))) % 101.86/102.04 (assume-push @p1164 @t690) % 101.86/102.06 (assume-push @p1165 @t747) % 101.86/102.06 (assume-push @p1166 @t690) % 101.86/102.06 (assume-push @p1167 @t747) % 101.86/102.06 (step @p1089 :rule arith_poly_norm :args ((= (* 1 (- @t689 0)) (* 1 @t802)))) % 101.86/102.06 (step @p1090 :rule arith_poly_norm_rel :premises (@p1089) :args ((= (= @t689 0) @t801))) % 101.86/102.06 (step @p1091 :rule arith-elim-lt :args (@t689 1)) % 101.86/102.06 (step @p1092 :rule symm :premises (@p1091)) % 101.86/102.06 (step @p1093 :rule eq_resolve :premises (@p1165 @p1092)) % 101.86/102.06 (step @p1094 :rule int_tight_ub :premises (@p1093)) % 101.86/102.06 (step @p1095 :rule arith_trichotomy :premises (@p1080 @p1094)) % 101.86/102.06 (step @p1096 :rule eq_resolve :premises (@p1095 @p1090)) % 101.86/102.06 (step-pop @p1168 :rule scope :premises (@p1096)) % 101.86/102.06 (step-pop @p1169 :rule scope :premises (@p1168)) % 101.86/102.06 (step @p1097 :rule process_scope :premises (@p1169) :args (@t801)) % 101.86/102.06 (step @p1100 :rule and_intro :premises (@p1080 @p1165)) % 101.86/102.06 (step @p1101 :rule modus_ponens :premises (@p1100 @p1097)) % 101.86/102.06 (step-pop @p1170 :rule scope :premises (@p1101)) % 101.86/102.06 (step-pop @p1171 :rule scope :premises (@p1170)) % 101.86/102.06 (step @p1102 :rule process_scope :premises (@p1171) :args (@t801)) % 101.86/102.06 (step @p1105 :rule implies_elim :premises (@p1102)) % 101.86/102.06 (step @p1106 :rule cnf_and_neg :args (@t803)) % 101.86/102.06 (step @p1107 :rule resolution :premises (@p1106 @p1105) :args (true @t803)) % 101.86/102.06 (step @p1108 :rule eq_resolve :premises (@p1107 @p1084)) % 101.86/102.06 (step @p1109 :rule reordering :premises (@p1108) :args ((or @t691 @t801 @t746))) % 101.86/102.06 (step @p1110 :rule chain_m_resolution :premises (@p1109 @p1080 @p1074) :args (@t801 @t804 (@list @t690 @t746))) % 101.86/102.06 (assume-push @p1172 @t801) % 101.86/102.06 (assume-push @p1173 @t805) % 101.86/102.06 (step @p1113 :rule symm :premises (@p1173)) % 101.86/102.06 (step @p1114 :rule cong :premises (@p1113) :args (@t340)) % 101.86/102.06 (step-pop @p1174 :rule scope :premises (@p1114)) % 101.86/102.06 (step @p1115 :rule process_scope :premises (@p1174) :args (@t720)) % 101.86/102.06 (step @p1117 :rule arith_poly_norm :args ((= (* 1 (- @t331 @t339)) (* -1 @t802)))) % 101.86/102.06 (step @p1118 :rule arith_poly_norm_rel :premises (@p1117) :args ((= @t805 @t801))) % 101.86/102.06 (step @p1119 :rule symm :premises (@p1118)) % 101.86/102.06 (step @p1120 :rule eq_resolve :premises (@p1172 @p1119)) % 101.86/102.06 (step @p1121 :rule modus_ponens :premises (@p1120 @p1115)) % 101.86/102.06 (step-pop @p1175 :rule scope :premises (@p1121)) % 101.86/102.06 (step @p1122 :rule process_scope :premises (@p1175) :args (@t720)) % 101.86/102.06 (step @p1124 :rule implies_elim :premises (@p1122)) % 101.86/102.06 (step @p1125 false :rule chain_m_resolution :premises (@p1124 @p1110 @p864) :args (false @t804 (@list @t801 @t720))) % 101.86/102.06 ) % 101.86/102.06 % SZS output end Proof % 101.86/102.06 % cvc5 exiting %------------------------------------------------------------------------------