0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM 0.12/0.33 % Computer : n031.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Fri Sep 5 12:30:07 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.53 %----Proving TF0_ARI 18.76/19.30 --- Run --finite-model-find --decision=internal at 18... 18.76/19.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24... 18.76/19.30 % SZS status Theorem 18.76/19.30 % SZS output start Proof 18.76/19.30 ( 18.76/19.30 (declare-type tptp.map_vertex_int ()) 18.76/19.30 (declare-type tptp.tuple02 ()) 18.76/19.30 (declare-type tptp.ty ()) 18.76/19.30 (declare-type tptp.uni ()) 18.76/19.30 (declare-type tptp.set_vertex ()) 18.76/19.30 (declare-type tptp.vertex1 ()) 18.76/19.30 (declare-type tptp.bool1 ()) 18.76/19.30 (declare-const tptp.inv_succ21 (-> tptp.vertex1 tptp.set_vertex tptp.set_vertex tptp.map_vertex_int tptp.vertex1 tptp.set_vertex Bool)) 18.76/19.30 (declare-const tptp.min1 (-> tptp.vertex1 tptp.set_vertex tptp.map_vertex_int Bool)) 18.76/19.30 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) 18.76/19.30 (declare-const tptp.choose (-> tptp.ty tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.diff (-> tptp.ty tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.inv_succ1 (-> tptp.vertex1 tptp.set_vertex tptp.set_vertex tptp.map_vertex_int Bool)) 18.76/19.30 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.infix_eqeq (-> tptp.ty tptp.uni tptp.uni Bool)) 18.76/19.30 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.inv1 (-> tptp.vertex1 tptp.set_vertex tptp.set_vertex tptp.map_vertex_int Bool)) 18.76/19.30 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.cardinal1 (-> tptp.ty tptp.uni Int)) 18.76/19.30 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.is_empty (-> tptp.ty tptp.uni Bool)) 18.76/19.30 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) 18.76/19.30 (declare-const tptp.add (-> tptp.ty tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.union (-> tptp.ty tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) 18.76/19.30 (declare-const tptp.t2tb (-> tptp.set_vertex tptp.uni)) 18.76/19.30 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) 18.76/19.30 (declare-const tptp.remove (-> tptp.ty tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.vertex tptp.ty) 18.76/19.30 (declare-const tptp.t2tb3 (-> Int tptp.uni)) 18.76/19.30 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.tb2t3 (-> tptp.uni Int)) 18.76/19.30 (declare-const tptp.set1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.false1 tptp.bool1) 18.76/19.30 (declare-const tptp.tb2t (-> tptp.uni tptp.set_vertex)) 18.76/19.30 (declare-const tptp.subset (-> tptp.ty tptp.uni tptp.uni Bool)) 18.76/19.30 (declare-const tptp.t2tb2 (-> tptp.vertex1 tptp.uni)) 18.76/19.30 (declare-const tptp.tb2t2 (-> tptp.uni tptp.vertex1)) 18.76/19.30 (declare-const tptp.true1 tptp.bool1) 18.76/19.30 (declare-const tptp.tuple03 tptp.tuple02) 18.76/19.30 (declare-const tptp.path1 (-> tptp.vertex1 tptp.vertex1 Int Bool)) 18.76/19.30 (declare-const tptp.weight1 (-> tptp.vertex1 tptp.vertex1 Int)) 18.76/19.30 (declare-const tptp.g_succ1 (-> tptp.vertex1 tptp.set_vertex)) 18.76/19.30 (declare-const tptp.set (-> tptp.ty tptp.ty)) 18.76/19.30 (declare-const tptp.t2tb1 (-> tptp.map_vertex_int tptp.uni)) 18.76/19.30 (declare-const tptp.inter (-> tptp.ty tptp.uni tptp.uni tptp.uni)) 18.76/19.30 (declare-const tptp.int tptp.ty) 18.76/19.30 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_vertex_int)) 18.76/19.30 (declare-const tptp.ref (-> tptp.ty tptp.ty)) 18.76/19.30 (declare-const tptp.inv_src1 (-> tptp.vertex1 tptp.set_vertex tptp.set_vertex Bool)) 18.76/19.30 (declare-const tptp.v1 tptp.set_vertex) 18.76/19.30 (declare-const tptp.shortest_path1 (-> tptp.vertex1 tptp.vertex1 Int Bool)) 18.76/19.30 (declare-const tptp.empty (-> tptp.ty tptp.uni)) 18.76/19.30 (define @t1 () (@var "U" tptp.bool1)) 18.76/19.30 (define @t2 () (@var "I" tptp.set_vertex)) 18.76/19.30 (define @t3 () (@var "J" tptp.uni)) 18.76/19.30 (define @t4 () (@list @t3)) 18.76/19.30 (define @t5 () (@var "S2" tptp.uni)) 18.76/19.30 (define @t6 () (@var "X" tptp.uni)) 18.76/19.30 (define @t7 () (@var "A" tptp.ty)) 18.76/19.30 (define @t8 () (tptp.mem @t7 @t6 @t5)) 18.76/19.30 (define @t9 () (@var "S1" tptp.uni)) 18.76/19.30 (define @t10 () (tptp.mem @t7 @t6 @t9)) 18.76/19.30 (define @t11 () (@list @t7 @t9 @t5 @t6)) 18.76/19.30 (define @t12 () (@var "Y" tptp.uni)) 18.76/19.30 (define @t13 () (= @t6 @t12)) 18.76/19.30 (define @t14 () (@var "S" tptp.uni)) 18.76/19.30 (define @t15 () (tptp.mem @t7 @t6 @t14)) 18.76/19.30 (define @t16 () (forall (@list @t14) (= (tptp.mem @t7 @t6 (tptp.add @t7 @t12 @t14)) (or @t15 @t13)))) 18.76/19.30 (define @t17 () (tptp.sort1 @t7 @t12)) 18.76/19.30 (define @t18 () (=> @t17 @t16)) 18.76/19.30 (define @t19 () (tptp.sort1 @t7 @t6)) 18.76/19.30 (define @t20 () (@list @t7 @t6 @t12)) 18.76/19.30 (define @t21 () (forall @t20 (=> @t19 @t18))) 18.76/19.30 (define @t22 () (@var "X" tptp.vertex1)) 18.76/19.30 (define @t23 () (@var "Z" tptp.vertex1)) 18.76/19.30 (define @t24 () (= @t23 @t22)) 18.76/19.30 (define @t25 () (@var "Z2" Int)) 18.76/19.30 (define @t26 () (@var "Z1" tptp.vertex1)) 18.76/19.30 (define @t27 () (@list @t22)) 18.76/19.30 (define @t28 () (@var "D" Int)) 18.76/19.30 (define @t29 () (@var "Y" tptp.vertex1)) 18.76/19.30 (define @t30 () (tptp.path1 @t22 @t29 @t28)) 18.76/19.30 (define @t31 () (@var "Z3" tptp.vertex1)) 18.76/19.30 (define @t32 () (tptp.t2tb (tptp.g_succ1 @t29))) 18.76/19.30 (define @t33 () (@var "Q4" tptp.set_vertex)) 18.76/19.30 (define @t34 () (tptp.t2tb @t33)) 18.76/19.30 (define @t35 () (tptp.t2tb2 @t29)) 18.76/19.30 (define @t36 () (tptp.mem tptp.vertex @t35 @t34)) 18.76/19.30 (define @t37 () (@var "Visited2" tptp.set_vertex)) 18.76/19.30 (define @t38 () (tptp.t2tb @t37)) 18.76/19.30 (define @t39 () (tptp.mem tptp.vertex @t35 @t38)) 18.76/19.30 (define @t40 () (or @t39 @t36)) 18.76/19.30 (define @t41 () (@var "U" tptp.vertex1)) 18.76/19.30 (define @t42 () (= @t22 @t41)) 18.76/19.30 (define @t43 () (@var "Su1" tptp.set_vertex)) 18.76/19.30 (define @t44 () (tptp.t2tb @t43)) 18.76/19.30 (define @t45 () (tptp.mem tptp.vertex @t35 @t44)) 18.76/19.30 (define @t46 () (not @t45)) 18.76/19.30 (define @t47 () (and @t46 @t42)) 18.76/19.30 (define @t48 () (not @t42)) 18.76/19.30 (define @t49 () (or @t48 @t47)) 18.76/19.30 (define @t50 () (=> @t49 @t40)) 18.76/19.30 (define @t51 () (tptp.t2tb (tptp.g_succ1 @t22))) 18.76/19.30 (define @t52 () (tptp.mem tptp.vertex @t35 @t51)) 18.76/19.30 (define @t53 () (@list @t29)) 18.76/19.30 (define @t54 () (forall @t53 (=> @t52 @t50))) 18.76/19.30 (define @t55 () (tptp.t2tb2 @t22)) 18.76/19.30 (define @t56 () (tptp.mem tptp.vertex @t55 @t38)) 18.76/19.30 (define @t57 () (=> @t56 @t54)) 18.76/19.30 (define @t58 () (forall @t27 @t57)) 18.76/19.30 (define @t59 () (@var "V" tptp.vertex1)) 18.76/19.30 (define @t60 () (tptp.weight1 @t41 @t59)) 18.76/19.30 (define @t61 () (tptp.t2tb2 @t41)) 18.76/19.30 (define @t62 () (@var "D4" tptp.map_vertex_int)) 18.76/19.30 (define @t63 () (tptp.t2tb1 @t62)) 18.76/19.30 (define @t64 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t63 @t61))) 18.76/19.30 (define @t65 () (+ @t64 @t60)) 18.76/19.30 (define @t66 () (tptp.t2tb2 @t59)) 18.76/19.30 (define @t67 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t63 @t66))) 18.76/19.30 (define @t68 () (= @t67 @t65)) 18.76/19.30 (define @t69 () (or (< @t67 @t65) @t68)) 18.76/19.30 (define @t70 () (=> @t69 @t58)) 18.76/19.30 (define @t71 () (@var "Q3" tptp.set_vertex)) 18.76/19.30 (define @t72 () (= @t33 @t71)) 18.76/19.30 (define @t73 () (@var "D3" tptp.map_vertex_int)) 18.76/19.30 (define @t74 () (= @t62 @t73)) 18.76/19.30 (define @t75 () (tptp.mem tptp.vertex @t66 @t38)) 18.76/19.30 (define @t76 () (and @t75 @t74 @t72)) 18.76/19.30 (define @t77 () (tptp.mem tptp.vertex @t66 @t34)) 18.76/19.30 (define @t78 () (<= @t67 @t65)) 18.76/19.30 (define @t79 () (and @t72 @t74 @t78 @t77)) 18.76/19.30 (define @t80 () (not @t75)) 18.76/19.30 (define @t81 () (tptp.t2tb1 @t73)) 18.76/19.30 (define @t82 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t81 @t61))) 18.76/19.30 (define @t83 () (+ @t82 @t60)) 18.76/19.30 (define @t84 () (tptp.t2tb3 @t83)) 18.76/19.30 (define @t85 () (tptp.set1 tptp.int tptp.vertex @t81 @t66 @t84)) 18.76/19.30 (define @t86 () (tptp.tb2t1 @t85)) 18.76/19.30 (define @t87 () (= @t62 @t86)) 18.76/19.30 (define @t88 () (tptp.t2tb @t71)) 18.76/19.30 (define @t89 () (tptp.tb2t (tptp.add tptp.vertex @t66 @t88))) 18.76/19.30 (define @t90 () (= @t33 @t89)) 18.76/19.30 (define @t91 () (tptp.mem tptp.vertex @t66 @t88)) 18.76/19.30 (define @t92 () (not @t91)) 18.76/19.30 (define @t93 () (and @t92 @t90 @t87 @t80)) 18.76/19.30 (define @t94 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t81 @t66))) 18.76/19.30 (define @t95 () (and @t77 @t72 @t87 (< @t83 @t94))) 18.76/19.30 (define @t96 () (or @t95 @t93 @t79 @t76)) 18.76/19.30 (define @t97 () (=> @t96 @t70)) 18.76/19.30 (define @t98 () (@list @t33 @t62)) 18.76/19.30 (define @t99 () (forall @t98 @t97)) 18.76/19.30 (define @t100 () (@var "Su" tptp.set_vertex)) 18.76/19.30 (define @t101 () (tptp.t2tb @t100)) 18.76/19.30 (define @t102 () (tptp.tb2t (tptp.remove tptp.vertex @t66 @t101))) 18.76/19.30 (define @t103 () (= @t43 @t102)) 18.76/19.30 (define @t104 () (tptp.mem tptp.vertex @t66 @t101)) 18.76/19.30 (define @t105 () (and @t104 @t103)) 18.76/19.30 (define @t106 () (=> @t105 @t99)) 18.76/19.30 (define @t107 () (@list @t43 @t59)) 18.76/19.30 (define @t108 () (forall @t107 @t106)) 18.76/19.30 (define @t109 () (tptp.mem tptp.vertex @t55 @t101)) 18.76/19.30 (define @t110 () (not @t109)) 18.76/19.30 (define @t111 () (forall @t27 @t110)) 18.76/19.30 (define @t112 () (not @t111)) 18.76/19.30 (define @t113 () (=> @t112 @t108)) 18.76/19.30 (define @t114 () (@var "Result" tptp.bool1)) 18.76/19.30 (define @t115 () (= @t114 tptp.true1)) 18.76/19.30 (define @t116 () (=> @t115 @t113)) 18.76/19.30 (define @t117 () (=> (= @t112 @t115) @t116)) 18.76/19.30 (define @t118 () (@list @t114)) 18.76/19.30 (define @t119 () (forall @t118 @t117)) 18.76/19.30 (define @t120 () (@var "Src" tptp.vertex1)) 18.76/19.30 (define @t121 () (tptp.inv_src1 @t120 @t37 @t71)) 18.76/19.30 (define @t122 () (tptp.t2tb2 @t120)) 18.76/19.30 (define @t123 () (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t81 @t122)) 0)) 18.76/19.30 (define @t124 () (tptp.t2tb tptp.v1)) 18.76/19.30 (define @t125 () (tptp.subset tptp.vertex @t38 @t124)) 18.76/19.30 (define @t126 () (tptp.subset tptp.vertex @t88 @t124)) 18.76/19.30 (define @t127 () (tptp.weight1 @t22 @t29)) 18.76/19.30 (define @t128 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t81 @t55))) 18.76/19.30 (define @t129 () (+ @t128 @t127)) 18.76/19.30 (define @t130 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t81 @t35))) 18.76/19.30 (define @t131 () (<= @t130 @t129)) 18.76/19.30 (define @t132 () (or @t39 (tptp.mem tptp.vertex @t35 @t88))) 18.76/19.30 (define @t133 () (and @t132 @t131)) 18.76/19.30 (define @t134 () (tptp.mem tptp.vertex @t35 @t101)) 18.76/19.30 (define @t135 () (not @t134)) 18.76/19.30 (define @t136 () (and @t42 @t135)) 18.76/19.30 (define @t137 () (or @t48 @t136)) 18.76/19.30 (define @t138 () (=> @t137 @t133)) 18.76/19.30 (define @t139 () (=> @t52 @t138)) 18.76/19.30 (define @t140 () (forall @t53 @t139)) 18.76/19.30 (define @t141 () (=> @t56 @t140)) 18.76/19.30 (define @t142 () (forall @t27 @t141)) 18.76/19.30 (define @t143 () (tptp.path1 @t120 @t59 @t94)) 18.76/19.30 (define @t144 () (@list @t59)) 18.76/19.30 (define @t145 () (forall @t144 (=> @t91 @t143))) 18.76/19.30 (define @t146 () (tptp.shortest_path1 @t120 @t59 @t94)) 18.76/19.30 (define @t147 () (forall @t144 (=> @t75 @t146))) 18.76/19.30 (define @t148 () (=> @t91 (=> @t75 false))) 18.76/19.30 (define @t149 () (forall @t144 @t148)) 18.76/19.30 (define @t150 () (tptp.mem tptp.vertex @t55 (tptp.t2tb (tptp.g_succ1 @t41)))) 18.76/19.30 (define @t151 () (forall @t27 (=> @t109 @t150))) 18.76/19.30 (define @t152 () (and @t151 @t149 @t147 @t145 @t142 @t126 @t125 @t123 @t121)) 18.76/19.30 (define @t153 () (=> @t152 @t119)) 18.76/19.30 (define @t154 () (@list @t100 @t71 @t73)) 18.76/19.30 (define @t155 () (forall @t154 @t153)) 18.76/19.30 (define @t156 () (@var "Visited1" tptp.set_vertex)) 18.76/19.30 (define @t157 () (tptp.t2tb @t156)) 18.76/19.30 (define @t158 () (tptp.tb2t (tptp.add tptp.vertex @t61 @t157))) 18.76/19.30 (define @t159 () (= @t37 @t158)) 18.76/19.30 (define @t160 () (=> @t159 @t155)) 18.76/19.30 (define @t161 () (@list @t37)) 18.76/19.30 (define @t162 () (forall @t161 @t160)) 18.76/19.30 (define @t163 () (@var "Dqt" Int)) 18.76/19.30 (define @t164 () (@var "D2" tptp.map_vertex_int)) 18.76/19.30 (define @t165 () (tptp.t2tb1 @t164)) 18.76/19.30 (define @t166 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t61))) 18.76/19.30 (define @t167 () (tptp.path1 @t120 @t41 @t163)) 18.76/19.30 (define @t168 () (=> @t167 (<= @t166 @t163))) 18.76/19.30 (define @t169 () (@list @t163)) 18.76/19.30 (define @t170 () (forall @t169 @t168)) 18.76/19.30 (define @t171 () (tptp.path1 @t120 @t41 @t166)) 18.76/19.30 (define @t172 () (and @t171 @t170)) 18.76/19.30 (define @t173 () (=> @t172 @t162)) 18.76/19.30 (define @t174 () (@var "Q1" tptp.set_vertex)) 18.76/19.30 (define @t175 () (tptp.t2tb @t174)) 18.76/19.30 (define @t176 () (tptp.tb2t (tptp.remove tptp.vertex @t61 @t175))) 18.76/19.30 (define @t177 () (@var "Q2" tptp.set_vertex)) 18.76/19.30 (define @t178 () (= @t177 @t176)) 18.76/19.30 (define @t179 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t55))) 18.76/19.30 (define @t180 () (tptp.mem tptp.vertex @t55 @t175)) 18.76/19.30 (define @t181 () (=> @t180 (<= @t166 @t179))) 18.76/19.30 (define @t182 () (forall @t27 @t181)) 18.76/19.30 (define @t183 () (tptp.mem tptp.vertex @t61 @t175)) 18.76/19.30 (define @t184 () (and @t183 @t182 @t178)) 18.76/19.30 (define @t185 () (=> @t184 @t173)) 18.76/19.30 (define @t186 () (@list @t177 @t41)) 18.76/19.30 (define @t187 () (forall @t186 @t185)) 18.76/19.30 (define @t188 () (not @t180)) 18.76/19.30 (define @t189 () (forall @t27 @t188)) 18.76/19.30 (define @t190 () (not @t189)) 18.76/19.30 (define @t191 () (=> @t190 @t187)) 18.76/19.30 (define @t192 () (@var "O" tptp.bool1)) 18.76/19.30 (define @t193 () (= @t192 tptp.true1)) 18.76/19.30 (define @t194 () (not @t193)) 18.76/19.30 (define @t195 () (=> @t194 @t191)) 18.76/19.30 (define @t196 () (= @t193 @t189)) 18.76/19.30 (define @t197 () (=> @t196 @t195)) 18.76/19.30 (define @t198 () (@list @t192)) 18.76/19.30 (define @t199 () (forall @t198 @t197)) 18.76/19.30 (define @t200 () (tptp.inv_src1 @t120 @t156 @t174)) 18.76/19.30 (define @t201 () (tptp.subset tptp.vertex @t157 @t124)) 18.76/19.30 (define @t202 () (tptp.subset tptp.vertex @t175 @t124)) 18.76/19.30 (define @t203 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t66))) 18.76/19.30 (define @t204 () (tptp.shortest_path1 @t120 @t59 @t203)) 18.76/19.30 (define @t205 () (tptp.mem tptp.vertex @t66 @t157)) 18.76/19.30 (define @t206 () (forall @t144 (=> @t205 @t204))) 18.76/19.30 (define @t207 () (tptp.path1 @t120 @t59 @t203)) 18.76/19.30 (define @t208 () (tptp.mem tptp.vertex @t66 @t175)) 18.76/19.30 (define @t209 () (forall @t144 (=> @t208 @t207))) 18.76/19.30 (define @t210 () (+ @t179 @t127)) 18.76/19.30 (define @t211 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t35))) 18.76/19.30 (define @t212 () (or (tptp.mem tptp.vertex @t35 @t157) (tptp.mem tptp.vertex @t35 @t175))) 18.76/19.30 (define @t213 () (and @t212 (<= @t211 @t210))) 18.76/19.30 (define @t214 () (=> @t52 @t213)) 18.76/19.30 (define @t215 () (forall @t53 @t214)) 18.76/19.30 (define @t216 () (tptp.mem tptp.vertex @t55 @t157)) 18.76/19.30 (define @t217 () (=> @t216 @t215)) 18.76/19.30 (define @t218 () (forall @t27 @t217)) 18.76/19.30 (define @t219 () (@var "M" tptp.vertex1)) 18.76/19.30 (define @t220 () (tptp.t2tb2 @t219)) 18.76/19.30 (define @t221 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t220))) 18.76/19.30 (define @t222 () (@var "Dx" Int)) 18.76/19.30 (define @t223 () (=> (< @t222 @t221) @t216)) 18.76/19.30 (define @t224 () (tptp.path1 @t120 @t22 @t222)) 18.76/19.30 (define @t225 () (=> @t224 @t223)) 18.76/19.30 (define @t226 () (@list @t22 @t222)) 18.76/19.30 (define @t227 () (forall @t226 @t225)) 18.76/19.30 (define @t228 () (tptp.mem tptp.vertex @t220 @t175)) 18.76/19.30 (define @t229 () (=> @t180 (<= @t221 @t179))) 18.76/19.30 (define @t230 () (forall @t27 @t229)) 18.76/19.30 (define @t231 () (and @t230 @t228)) 18.76/19.30 (define @t232 () (=> @t231 @t227)) 18.76/19.30 (define @t233 () (@list @t219)) 18.76/19.30 (define @t234 () (forall @t233 @t232)) 18.76/19.30 (define @t235 () (=> @t208 (=> @t205 false))) 18.76/19.30 (define @t236 () (forall @t144 @t235)) 18.76/19.30 (define @t237 () (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t122)) 0)) 18.76/19.30 (define @t238 () (and @t237 @t236 @t234 @t218 @t209 @t206 @t202 @t201 @t200)) 18.76/19.30 (define @t239 () (=> @t238 @t199)) 18.76/19.30 (define @t240 () (@list @t174 @t164 @t156)) 18.76/19.30 (define @t241 () (forall @t240 @t239)) 18.76/19.30 (define @t242 () (tptp.tb2t (tptp.add tptp.vertex @t122 (tptp.empty tptp.vertex)))) 18.76/19.30 (define @t243 () (@var "Q" tptp.set_vertex)) 18.76/19.30 (define @t244 () (= @t243 @t242)) 18.76/19.30 (define @t245 () (@var "D" tptp.map_vertex_int)) 18.76/19.30 (define @t246 () (tptp.t2tb1 @t245)) 18.76/19.30 (define @t247 () (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t246 @t122 (tptp.t2tb3 0)))) 18.76/19.30 (define @t248 () (@var "D1" tptp.map_vertex_int)) 18.76/19.30 (define @t249 () (= @t248 @t247)) 18.76/19.30 (define @t250 () (@var "Visited" tptp.set_vertex)) 18.76/19.30 (define @t251 () (forall @t27 (not (tptp.mem tptp.vertex @t55 (tptp.t2tb @t250))))) 18.76/19.30 (define @t252 () (and @t251 @t249 @t244)) 18.76/19.30 (define @t253 () (=> @t252 @t241)) 18.76/19.30 (define @t254 () (@list @t243 @t248 @t250)) 18.76/19.30 (define @t255 () (forall @t254 @t253)) 18.76/19.30 (define @t256 () (tptp.mem tptp.vertex @t122 @t124)) 18.76/19.30 (define @t257 () (@var "Dst" tptp.vertex1)) 18.76/19.30 (define @t258 () (tptp.t2tb2 @t257)) 18.76/19.30 (define @t259 () (tptp.mem tptp.vertex @t258 @t124)) 18.76/19.30 (define @t260 () (and @t259 @t256)) 18.76/19.30 (define @t261 () (=> @t260 @t255)) 18.76/19.30 (define @t262 () (@list @t120 @t257 @t245)) 18.76/19.30 (define @t263 () (forall @t262 @t261)) 18.76/19.30 (define @t264 () (not @t263)) 18.76/19.30 (define @t265 () (@var "I" tptp.vertex1)) 18.76/19.30 (define @t266 () (@list @t7 @t14)) 18.76/19.30 (define @t267 () (tptp.empty @t7)) 18.76/19.30 (define @t268 () (tptp.set @t7)) 18.76/19.30 (define @t269 () (@list @t7)) 18.76/19.30 (define @t270 () (@var "X2" tptp.uni)) 18.76/19.30 (define @t271 () (@var "X1" tptp.uni)) 18.76/19.30 (define @t272 () (@var "B" tptp.ty)) 18.76/19.30 (define @t273 () (tptp.map @t7 @t272)) 18.76/19.30 (define @t274 () (@list @t22 @t29 @t28)) 18.76/19.30 (define @t275 () (@list @t7 @t6 @t271)) 18.76/19.30 (define @t276 () (@var "X" tptp.map_vertex_int)) 18.76/19.30 (define @t277 () (@var "B1" tptp.uni)) 18.76/19.30 (define @t278 () (@var "A1" tptp.uni)) 18.76/19.30 (define @t279 () (tptp.sort1 @t272 @t277)) 18.76/19.30 (define @t280 () (tptp.remove @t7 @t6 @t14)) 18.76/19.30 (define @t281 () (tptp.cardinal1 @t7 @t14)) 18.76/19.30 (define @t282 () (@list @t7 @t6 @t14)) 18.76/19.30 (define @t283 () (@var "Z1" tptp.uni)) 18.76/19.30 (define @t284 () (@var "Z" tptp.uni)) 18.76/19.30 (define @t285 () (@list @t7 @t284 @t283)) 18.76/19.30 (define @t286 () (tptp.is_empty @t7 @t14)) 18.76/19.30 (define @t287 () (not @t15)) 18.76/19.30 (define @t288 () (@list @t6)) 18.76/19.30 (define @t289 () (tptp.path1 @t120 @t59 @t28)) 18.76/19.30 (define @t290 () (@list @t120 @t59 @t28)) 18.76/19.30 (define @t291 () (tptp.subset @t7 @t9 @t5)) 18.76/19.30 (define @t292 () (=> @t10 @t8)) 18.76/19.30 (define @t293 () (@list @t7 @t9 @t5)) 18.76/19.30 (define @t294 () (@var "X" Int)) 18.76/19.30 (define @t295 () (@var "U" tptp.tuple02)) 18.76/19.30 (define @t296 () (@var "X" tptp.set_vertex)) 18.76/19.30 (define @t297 () (tptp.set tptp.vertex)) 18.76/19.30 (define @t298 () (@var "X" tptp.bool1)) 18.76/19.30 (define @t299 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t246 @t66))) 18.76/19.30 (define @t300 () (tptp.t2tb @t243)) 18.76/19.30 (define @t301 () (tptp.mem tptp.vertex @t66 @t300)) 18.76/19.30 (define @t302 () (@var "S" tptp.set_vertex)) 18.76/19.30 (define @t303 () (tptp.t2tb @t302)) 18.76/19.30 (define @t304 () (tptp.mem tptp.vertex @t66 @t303)) 18.76/19.30 (define @t305 () (tptp.inv_src1 @t120 @t302 @t243)) 18.76/19.30 (define @t306 () (@list @t120 @t302 @t243 @t245)) 18.76/19.30 (define @t307 () (tptp.infix_eqeq @t7 @t9 @t5)) 18.76/19.30 (define @t308 () (= @t10 @t8)) 18.76/19.30 (define @t309 () (tptp.ref @t7)) 18.76/19.30 (define @t310 () (@list @t7 @t6)) 18.76/19.30 (define @t311 () (@var "I" tptp.map_vertex_int)) 18.76/19.30 (define @t312 () (@var "U" tptp.uni)) 18.76/19.30 (define @t313 () (@list @t7 @t312)) 18.76/19.30 (define @t314 () (tptp.diff @t7 @t9 @t5)) 18.76/19.30 (define @t315 () (@var "Z" Int)) 18.76/19.30 (define @t316 () (@var "Y" Int)) 18.76/19.30 (define @t317 () (@var "S3" tptp.uni)) 18.76/19.30 (define @t318 () (tptp.choose @t7 @t14)) 18.76/19.30 (define @t319 () (@var "I" Int)) 18.76/19.30 (define @t320 () (@var "A2" tptp.uni)) 18.76/19.30 (define @t321 () (@var "M" tptp.uni)) 18.76/19.30 (define @t322 () (tptp.get @t272 @t7 (tptp.set1 @t272 @t7 @t321 @t278 @t277) @t320)) 18.76/19.30 (define @t323 () (= @t278 @t320)) 18.76/19.30 (define @t324 () (tptp.mem tptp.vertex @t122 @t303)) 18.76/19.30 (define @t325 () (@list @t120)) 18.76/19.30 (define @t326 () (@var "W" tptp.vertex1)) 18.76/19.30 (define @t327 () (tptp.t2tb2 @t326)) 18.76/19.30 (define @t328 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t246 @t55))) 18.76/19.30 (define @t329 () (and (<= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t246 @t35)) (+ @t328 @t127)) (or (tptp.mem tptp.vertex @t35 @t300) (tptp.mem tptp.vertex @t35 @t303)))) 18.76/19.30 (define @t330 () (tptp.mem tptp.vertex @t55 @t303)) 18.76/19.30 (define @t331 () (tptp.t2tb (tptp.tb2t @t3))) 18.76/19.30 (define @t332 () (tptp.sort1 @t297 @t3)) 18.76/19.30 (define @t333 () (=> @t332 (= @t331 @t3))) 18.76/19.30 (define @t334 () (forall @t4 @t333)) 18.76/19.30 (define @t335 () (tptp.add @t7 @t6 @t14)) 18.76/19.30 (define @t336 () (= (and (not @t13) @t15) (tptp.mem @t7 @t6 (tptp.remove @t7 @t12 @t14)))) 18.76/19.30 (define @t337 () (=> @t17 @t336)) 18.76/19.30 (define @t338 () (@list @t7 @t6 @t12 @t14)) 18.76/19.30 (define @t339 () (forall @t338 (=> @t19 @t337))) 18.76/19.30 (define @t340 () (= @t59 @t120)) 18.76/19.30 (define @t341 () (@var "Vqt" tptp.vertex1)) 18.76/19.30 (define @t342 () (tptp.mem tptp.vertex @t66 (tptp.t2tb (tptp.g_succ1 @t341)))) 18.76/19.30 (define @t343 () (tptp.weight1 @t341 @t59)) 18.76/19.30 (define @t344 () (@var "BOUND_VARIABLE_9463" tptp.bool1)) 18.76/19.30 (define @t345 () (= tptp.true1 @t344)) 18.76/19.30 (define @t346 () (@var "BOUND_VARIABLE_9435" tptp.set_vertex)) 18.76/19.30 (define @t347 () (tptp.t2tb @t346)) 18.76/19.30 (define @t348 () (not (tptp.mem tptp.vertex @t55 @t347))) 18.76/19.30 (define @t349 () (= (not (forall @t27 @t348)) @t345)) 18.76/19.30 (define @t350 () (@var "BOUND_VARIABLE_9455" tptp.set_vertex)) 18.76/19.30 (define @t351 () (tptp.t2tb @t350)) 18.76/19.30 (define @t352 () (@var "BOUND_VARIABLE_9461" tptp.vertex1)) 18.76/19.30 (define @t353 () (tptp.t2tb2 @t352)) 18.76/19.30 (define @t354 () (tptp.mem tptp.vertex @t353 @t351)) 18.76/19.30 (define @t355 () (@var "BOUND_VARIABLE_9439" tptp.set_vertex)) 18.76/19.30 (define @t356 () (tptp.t2tb @t355)) 18.76/19.30 (define @t357 () (@var "BOUND_VARIABLE_9443" tptp.vertex1)) 18.76/19.30 (define @t358 () (tptp.t2tb2 @t357)) 18.76/19.30 (define @t359 () (tptp.tb2t (tptp.add tptp.vertex @t358 @t356))) 18.76/19.30 (define @t360 () (tptp.t2tb @t359)) 18.76/19.30 (define @t361 () (tptp.mem tptp.vertex @t353 @t360)) 18.76/19.30 (define @t362 () (@var "BOUND_VARIABLE_9459" tptp.vertex1)) 18.76/19.30 (define @t363 () (= @t357 @t362)) 18.76/19.30 (define @t364 () (@var "BOUND_VARIABLE_9445" tptp.set_vertex)) 18.76/19.30 (define @t365 () (tptp.t2tb @t364)) 18.76/19.30 (define @t366 () (@var "BOUND_VARIABLE_9453" tptp.vertex1)) 18.76/19.30 (define @t367 () (tptp.t2tb2 @t366)) 18.76/19.30 (define @t368 () (and @t363 (or (tptp.mem tptp.vertex @t353 (tptp.t2tb (tptp.tb2t (tptp.remove tptp.vertex @t367 @t365)))) (not @t363)))) 18.76/19.30 (define @t369 () (not (tptp.mem tptp.vertex @t353 (tptp.t2tb (tptp.g_succ1 @t362))))) 18.76/19.30 (define @t370 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t362) @t360))) 18.76/19.30 (define @t371 () (@var "BOUND_VARIABLE_9457" tptp.map_vertex_int)) 18.76/19.30 (define @t372 () (tptp.t2tb1 @t371)) 18.76/19.30 (define @t373 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t372 @t367))) 18.76/19.30 (define @t374 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t372 @t358))) 18.76/19.30 (define @t375 () (tptp.weight1 @t357 @t366)) 18.76/19.30 (define @t376 () (+ @t375 @t374 (* -1 @t373))) 18.76/19.30 (define @t377 () (and (not (>= @t376 1)) (not (= @t375 (+ (* -1 @t374) @t373))))) 18.76/19.30 (define @t378 () (@var "BOUND_VARIABLE_9447" tptp.set_vertex)) 18.76/19.30 (define @t379 () (not (= @t378 @t350))) 18.76/19.30 (define @t380 () (@var "BOUND_VARIABLE_9449" tptp.map_vertex_int)) 18.76/19.30 (define @t381 () (not (= @t380 @t371))) 18.76/19.30 (define @t382 () (tptp.mem tptp.vertex @t367 @t360)) 18.76/19.30 (define @t383 () (not (tptp.mem tptp.vertex @t367 @t351))) 18.76/19.30 (define @t384 () (tptp.t2tb1 @t380)) 18.76/19.30 (define @t385 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t384 @t358))) 18.76/19.30 (define @t386 () (not (= @t371 (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t384 @t367 (tptp.t2tb3 (+ @t385 @t375))))))) 18.76/19.30 (define @t387 () (tptp.t2tb @t378)) 18.76/19.30 (define @t388 () (and (or @t383 @t379 @t386 (>= (+ @t385 @t375 (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t384 @t367)))) 0)) (or (tptp.mem tptp.vertex @t367 @t387) (not (= @t350 (tptp.tb2t (tptp.add tptp.vertex @t367 @t387)))) @t386 @t382) (or @t379 @t381 (not (>= @t376 0)) @t383) (or (not @t382) @t381 @t379))) 18.76/19.30 (define @t389 () (not (tptp.mem tptp.vertex @t367 @t365))) 18.76/19.30 (define @t390 () (@var "BOUND_VARIABLE_9451" tptp.vertex1)) 18.76/19.30 (define @t391 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t390) @t365))) 18.76/19.30 (define @t392 () (not (tptp.inv_src1 @t120 @t359 @t378))) 18.76/19.30 (define @t393 () (not (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t384 @t122)) 0))) 18.76/19.30 (define @t394 () (not (tptp.subset tptp.vertex @t387 @t124))) 18.76/19.30 (define @t395 () (@var "BOUND_VARIABLE_8427" tptp.vertex1)) 18.76/19.30 (define @t396 () (tptp.t2tb2 @t395)) 18.76/19.30 (define @t397 () (tptp.weight1 @t22 @t395)) 18.76/19.30 (define @t398 () (= @t22 @t357)) 18.76/19.30 (define @t399 () (not (tptp.mem tptp.vertex @t396 @t51))) 18.76/19.30 (define @t400 () (@list @t22 @t395)) 18.76/19.30 (define @t401 () (not (forall @t400 (or (not (tptp.mem tptp.vertex @t55 @t360)) @t399 (and @t398 (or (not @t398) (tptp.mem tptp.vertex @t396 @t365))) (and (or (tptp.mem tptp.vertex @t396 @t360) (tptp.mem tptp.vertex @t396 @t387)) (>= (+ @t397 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t384 @t55)) (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t384 @t396)))) 0)))))) 18.76/19.30 (define @t402 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t384 @t66))) 18.76/19.30 (define @t403 () (not (tptp.mem tptp.vertex @t66 @t387))) 18.76/19.30 (define @t404 () (not (forall @t144 (or @t403 (tptp.path1 @t120 @t59 @t402))))) 18.76/19.30 (define @t405 () (not (tptp.mem tptp.vertex @t66 @t360))) 18.76/19.30 (define @t406 () (not (forall @t144 (or @t405 (tptp.shortest_path1 @t120 @t59 @t402))))) 18.76/19.30 (define @t407 () (not (forall @t144 (or @t403 @t405)))) 18.76/19.30 (define @t408 () (not (forall @t27 (or (not (tptp.mem tptp.vertex @t55 @t365)) (tptp.mem tptp.vertex @t55 (tptp.t2tb (tptp.g_succ1 @t357))))))) 18.76/19.30 (define @t409 () (not (tptp.subset tptp.vertex @t360 @t124))) 18.76/19.30 (define @t410 () (@var "BOUND_VARIABLE_9437" tptp.map_vertex_int)) 18.76/19.30 (define @t411 () (tptp.t2tb1 @t410)) 18.76/19.30 (define @t412 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t411 @t358))) 18.76/19.30 (define @t413 () (* -1 @t412)) 18.76/19.30 (define @t414 () (not (forall @t169 (or (not (tptp.path1 @t120 @t357 @t163)) (>= (+ @t163 @t413) 0))))) 18.76/19.30 (define @t415 () (not (tptp.path1 @t120 @t357 @t412))) 18.76/19.30 (define @t416 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t411 @t55))) 18.76/19.30 (define @t417 () (not (forall @t27 (or @t348 (>= (+ @t416 @t413) 0))))) 18.76/19.30 (define @t418 () (not (tptp.mem tptp.vertex @t358 @t347))) 18.76/19.30 (define @t419 () (@var "BOUND_VARIABLE_9441" tptp.vertex1)) 18.76/19.30 (define @t420 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t419) @t347))) 18.76/19.30 (define @t421 () (not (tptp.inv_src1 @t120 @t355 @t346))) 18.76/19.30 (define @t422 () (not (tptp.subset tptp.vertex @t356 @t124))) 18.76/19.30 (define @t423 () (not (tptp.subset tptp.vertex @t347 @t124))) 18.76/19.30 (define @t424 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t411 @t66))) 18.76/19.30 (define @t425 () (not (tptp.mem tptp.vertex @t66 @t356))) 18.76/19.30 (define @t426 () (not (forall @t144 (or @t425 (tptp.shortest_path1 @t120 @t59 @t424))))) 18.76/19.30 (define @t427 () (not (tptp.mem tptp.vertex @t66 @t347))) 18.76/19.30 (define @t428 () (not (forall @t144 (or @t427 (tptp.path1 @t120 @t59 @t424))))) 18.76/19.30 (define @t429 () (@var "BOUND_VARIABLE_8350" tptp.vertex1)) 18.76/19.30 (define @t430 () (tptp.t2tb2 @t429)) 18.76/19.30 (define @t431 () (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t411 @t430)))) 18.76/19.30 (define @t432 () (tptp.weight1 @t22 @t429)) 18.76/19.30 (define @t433 () (+ @t432 @t416 @t431)) 18.76/19.30 (define @t434 () (+ @t416 @t431 @t432)) 18.76/19.30 (define @t435 () (>= @t434 0)) 18.76/19.30 (define @t436 () (or (tptp.mem tptp.vertex @t430 @t356) (tptp.mem tptp.vertex @t430 @t347))) 18.76/19.30 (define @t437 () (and @t436 @t435)) 18.76/19.30 (define @t438 () (not (tptp.mem tptp.vertex @t430 @t51))) 18.76/19.30 (define @t439 () (not (tptp.mem tptp.vertex @t55 @t356))) 18.76/19.30 (define @t440 () (or @t439 @t438 @t437)) 18.76/19.30 (define @t441 () (@list @t22 @t429)) 18.76/19.30 (define @t442 () (forall @t441 @t440)) 18.76/19.30 (define @t443 () (not @t442)) 18.76/19.30 (define @t444 () (@var "BOUND_VARIABLE_8320" tptp.vertex1)) 18.76/19.30 (define @t445 () (tptp.t2tb2 @t444)) 18.76/19.30 (define @t446 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t411 @t220))) 18.76/19.30 (define @t447 () (@var "BOUND_VARIABLE_8322" Int)) 18.76/19.30 (define @t448 () (not (tptp.path1 @t120 @t444 @t447))) 18.76/19.30 (define @t449 () (@list @t219 @t444 @t447)) 18.76/19.30 (define @t450 () (not (forall @t449 (or (not (forall @t27 (or @t348 (not (>= (+ @t446 (* -1 @t416)) 1))))) (not (tptp.mem tptp.vertex @t220 @t347)) @t448 (>= (+ @t447 (* -1 @t446)) 0) (tptp.mem tptp.vertex @t445 @t356))))) 18.76/19.30 (define @t451 () (not (forall @t144 (or @t427 @t425)))) 18.76/19.30 (define @t452 () (not (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t411 @t122)) 0))) 18.76/19.30 (define @t453 () (not @t256)) 18.76/19.30 (define @t454 () (or @t453 @t452 @t451 @t450 @t443 @t428 @t426 @t423 @t422 @t421 @t420 @t418 @t417 @t415 @t414 @t409 @t408 @t407 @t406 @t404 @t401 @t394 @t393 @t392 @t391 @t389 @t388 @t377 @t370 @t369 @t368 @t361 @t354 @t349 @t345)) 18.76/19.30 (define @t455 () (or @t452 @t451 @t450 @t443 @t428 @t426 @t423 @t422 @t421 @t420 @t418 @t417 @t415 @t414 @t409 @t408 @t407 @t406 @t404 @t401 @t394 @t393 @t392 @t391 @t389 @t388 @t377 @t370 @t369 @t368 @t361 @t354 @t349 @t345)) 18.76/19.30 (define @t456 () (or @t453 @t455)) 18.76/19.30 (define @t457 () (@list @t120 @t346 @t410 @t355 @t419 @t357 @t364 @t378 @t380 @t390 @t366 @t350 @t371 @t362 @t352 @t344)) 18.76/19.30 (define @t458 () (forall @t457 @t456)) 18.76/19.30 (define @t459 () (@list @t346 @t410 @t355 @t419 @t357 @t364 @t378 @t380 @t390 @t366 @t350 @t371 @t362 @t352 @t344)) 18.76/19.30 (define @t460 () (forall @t459 @t456)) 18.76/19.30 (define @t461 () (forall @t459 @t455)) 18.76/19.30 (define @t462 () (@var "BOUND_VARIABLE_9390" tptp.bool1)) 18.76/19.30 (define @t463 () (@var "BOUND_VARIABLE_9232" tptp.vertex1)) 18.76/19.30 (define @t464 () (@var "BOUND_VARIABLE_9230" tptp.vertex1)) 18.76/19.30 (define @t465 () (@var "BOUND_VARIABLE_9228" tptp.map_vertex_int)) 18.76/19.30 (define @t466 () (@var "BOUND_VARIABLE_9226" tptp.set_vertex)) 18.76/19.30 (define @t467 () (@var "BOUND_VARIABLE_9224" tptp.vertex1)) 18.76/19.30 (define @t468 () (@var "BOUND_VARIABLE_9222" tptp.vertex1)) 18.76/19.30 (define @t469 () (@var "BOUND_VARIABLE_9220" tptp.map_vertex_int)) 18.76/19.30 (define @t470 () (@var "BOUND_VARIABLE_9218" tptp.set_vertex)) 18.76/19.30 (define @t471 () (@var "BOUND_VARIABLE_9216" tptp.set_vertex)) 18.76/19.30 (define @t472 () (@var "BOUND_VARIABLE_9214" tptp.vertex1)) 18.76/19.30 (define @t473 () (@var "BOUND_VARIABLE_9209" tptp.vertex1)) 18.76/19.30 (define @t474 () (or @t453 @t461)) 18.76/19.30 (define @t475 () (= tptp.true1 @t462)) 18.76/19.30 (define @t476 () (= @t190 @t475)) 18.76/19.30 (define @t477 () (tptp.t2tb @t466)) 18.76/19.30 (define @t478 () (tptp.t2tb2 @t463)) 18.76/19.30 (define @t479 () (tptp.mem tptp.vertex @t478 @t477)) 18.76/19.30 (define @t480 () (tptp.t2tb2 @t472)) 18.76/19.30 (define @t481 () (tptp.tb2t (tptp.add tptp.vertex @t480 @t157))) 18.76/19.30 (define @t482 () (tptp.t2tb @t481)) 18.76/19.30 (define @t483 () (tptp.mem tptp.vertex @t478 @t482)) 18.76/19.30 (define @t484 () (= @t472 @t464)) 18.76/19.30 (define @t485 () (tptp.t2tb @t471)) 18.76/19.30 (define @t486 () (tptp.t2tb2 @t467)) 18.76/19.30 (define @t487 () (and @t484 (or (tptp.mem tptp.vertex @t478 (tptp.t2tb (tptp.tb2t (tptp.remove tptp.vertex @t486 @t485)))) (not @t484)))) 18.76/19.30 (define @t488 () (not (tptp.mem tptp.vertex @t478 (tptp.t2tb (tptp.g_succ1 @t464))))) 18.76/19.30 (define @t489 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t464) @t482))) 18.76/19.30 (define @t490 () (tptp.t2tb1 @t465)) 18.76/19.30 (define @t491 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t490 @t486))) 18.76/19.30 (define @t492 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t490 @t480))) 18.76/19.30 (define @t493 () (tptp.weight1 @t472 @t467)) 18.76/19.30 (define @t494 () (+ @t493 @t492 (* -1 @t491))) 18.76/19.30 (define @t495 () (and (not (>= @t494 1)) (not (= @t493 (+ (* -1 @t492) @t491))))) 18.76/19.30 (define @t496 () (not (= @t470 @t466))) 18.76/19.30 (define @t497 () (not (= @t469 @t465))) 18.76/19.30 (define @t498 () (tptp.mem tptp.vertex @t486 @t482)) 18.76/19.30 (define @t499 () (not (tptp.mem tptp.vertex @t486 @t477))) 18.76/19.30 (define @t500 () (tptp.t2tb1 @t469)) 18.76/19.30 (define @t501 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t500 @t480))) 18.76/19.30 (define @t502 () (not (= @t465 (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t500 @t486 (tptp.t2tb3 (+ @t501 @t493))))))) 18.76/19.30 (define @t503 () (tptp.t2tb @t470)) 18.76/19.30 (define @t504 () (and (or @t499 @t496 @t502 (>= (+ @t501 @t493 (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t500 @t486)))) 0)) (or (tptp.mem tptp.vertex @t486 @t503) (not (= @t466 (tptp.tb2t (tptp.add tptp.vertex @t486 @t503)))) @t502 @t498) (or @t496 @t497 (not (>= @t494 0)) @t499) (or (not @t498) @t497 @t496))) 18.76/19.30 (define @t505 () (not (tptp.mem tptp.vertex @t486 @t485))) 18.76/19.30 (define @t506 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t468) @t485))) 18.76/19.30 (define @t507 () (not (tptp.inv_src1 @t120 @t481 @t470))) 18.76/19.30 (define @t508 () (not (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t500 @t122)) 0))) 18.76/19.30 (define @t509 () (not (tptp.subset tptp.vertex @t503 @t124))) 18.76/19.30 (define @t510 () (= @t22 @t472)) 18.76/19.30 (define @t511 () (not (forall @t400 (or (not (tptp.mem tptp.vertex @t55 @t482)) @t399 (and @t510 (or (not @t510) (tptp.mem tptp.vertex @t396 @t485))) (and (or (tptp.mem tptp.vertex @t396 @t482) (tptp.mem tptp.vertex @t396 @t503)) (>= (+ @t397 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t500 @t55)) (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t500 @t396)))) 0)))))) 18.76/19.30 (define @t512 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t500 @t66))) 18.76/19.30 (define @t513 () (not (tptp.mem tptp.vertex @t66 @t503))) 18.76/19.30 (define @t514 () (not (forall @t144 (or @t513 (tptp.path1 @t120 @t59 @t512))))) 18.76/19.30 (define @t515 () (not (tptp.mem tptp.vertex @t66 @t482))) 18.76/19.30 (define @t516 () (not (forall @t144 (or @t515 (tptp.shortest_path1 @t120 @t59 @t512))))) 18.76/19.30 (define @t517 () (not (forall @t144 (or @t513 @t515)))) 18.76/19.30 (define @t518 () (not (forall @t27 (or (not (tptp.mem tptp.vertex @t55 @t485)) (tptp.mem tptp.vertex @t55 (tptp.t2tb (tptp.g_succ1 @t472))))))) 18.76/19.30 (define @t519 () (not (tptp.subset tptp.vertex @t482 @t124))) 18.76/19.30 (define @t520 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t480))) 18.76/19.30 (define @t521 () (* -1 @t520)) 18.76/19.30 (define @t522 () (not (forall @t169 (or (not (tptp.path1 @t120 @t472 @t163)) (>= (+ @t163 @t521) 0))))) 18.76/19.30 (define @t523 () (not (tptp.path1 @t120 @t472 @t520))) 18.76/19.30 (define @t524 () (not (forall @t27 (or @t188 (>= (+ @t179 @t521) 0))))) 18.76/19.30 (define @t525 () (not (tptp.mem tptp.vertex @t480 @t175))) 18.76/19.30 (define @t526 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t473) @t175))) 18.76/19.30 (define @t527 () (not @t200)) 18.76/19.30 (define @t528 () (not @t201)) 18.76/19.30 (define @t529 () (not @t202)) 18.76/19.30 (define @t530 () (not @t205)) 18.76/19.30 (define @t531 () (forall @t144 (or @t530 @t204))) 18.76/19.30 (define @t532 () (not @t531)) 18.76/19.30 (define @t533 () (not @t208)) 18.76/19.30 (define @t534 () (forall @t144 (or @t533 @t207))) 18.76/19.30 (define @t535 () (not @t534)) 18.76/19.30 (define @t536 () (and (or (tptp.mem tptp.vertex @t430 @t157) (tptp.mem tptp.vertex @t430 @t175)) (>= (+ @t179 (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t165 @t430))) @t432) 0))) 18.76/19.30 (define @t537 () (not @t216)) 18.76/19.30 (define @t538 () (or @t537 @t438 @t536)) 18.76/19.30 (define @t539 () (forall @t441 @t538)) 18.76/19.30 (define @t540 () (not @t539)) 18.76/19.30 (define @t541 () (tptp.mem tptp.vertex @t445 @t157)) 18.76/19.30 (define @t542 () (* -1 @t221)) 18.76/19.30 (define @t543 () (>= (+ @t447 @t542) 0)) 18.76/19.30 (define @t544 () (not @t228)) 18.76/19.30 (define @t545 () (+ @t221 (* -1 @t179))) 18.76/19.30 (define @t546 () (>= @t545 1)) 18.76/19.30 (define @t547 () (not @t546)) 18.76/19.30 (define @t548 () (forall @t27 (or @t188 @t547))) 18.76/19.30 (define @t549 () (not @t548)) 18.76/19.30 (define @t550 () (or @t549 @t544 @t448 @t543 @t541)) 18.76/19.30 (define @t551 () (forall @t449 @t550)) 18.76/19.30 (define @t552 () (not @t551)) 18.76/19.30 (define @t553 () (forall @t144 (or @t533 @t530))) 18.76/19.30 (define @t554 () (not @t553)) 18.76/19.30 (define @t555 () (not @t237)) 18.76/19.30 (define @t556 () (or @t555 @t554 @t552 @t540 @t535 @t532 @t529 @t528 @t527 @t526 @t525 @t524 @t523 @t522 @t519 @t518 @t517 @t516 @t514 @t511 @t509 @t508 @t507 @t506 @t505 @t504 @t495 @t489 @t488 @t487 @t483 @t479 @t476 @t475)) 18.76/19.30 (define @t557 () (@list @t174 @t164 @t156 @t473 @t472 @t471 @t470 @t469 @t468 @t467 @t466 @t465 @t464 @t463 @t462)) 18.76/19.30 (define @t558 () (forall @t557 @t556)) 18.76/19.30 (define @t559 () (or @t453 @t558)) 18.76/19.30 (define @t560 () (forall @t325 @t559)) 18.76/19.30 (define @t561 () (not @t259)) 18.76/19.30 (define @t562 () (forall (@list @t257) @t561)) 18.76/19.30 (define @t563 () (not @t251)) 18.76/19.30 (define @t564 () (forall (@list @t250) @t563)) 18.76/19.30 (define @t565 () (or @t564 @t562 @t560)) 18.76/19.30 (define @t566 () (or @t564 @t561 @t559)) 18.76/19.30 (define @t567 () (@list @t257 @t120)) 18.76/19.30 (define @t568 () (or @t561 @t453 @t558 @t564)) 18.76/19.30 (define @t569 () (forall @t567 @t568)) 18.76/19.30 (define @t570 () (forall (@list @t120 @t257) @t568)) 18.76/19.30 (define @t571 () (or @t558 @t564)) 18.76/19.30 (define @t572 () (not (= @t242 @t242))) 18.76/19.30 (define @t573 () (not @t244)) 18.76/19.30 (define @t574 () (or @t573 @t573)) 18.76/19.30 (define @t575 () (@list @t243)) 18.76/19.30 (define @t576 () (forall @t575 @t573)) 18.76/19.30 (define @t577 () (not (= @t247 @t247))) 18.76/19.30 (define @t578 () (not @t249)) 18.76/19.30 (define @t579 () (or @t578 @t578)) 18.76/19.30 (define @t580 () (@list @t248)) 18.76/19.30 (define @t581 () (forall @t580 @t578)) 18.76/19.30 (define @t582 () (or @t558 @t564 @t581 @t576)) 18.76/19.30 (define @t583 () (or @t558 @t563 @t578 @t573)) 18.76/19.30 (define @t584 () (@list @t250 @t248 @t243)) 18.76/19.30 (define @t585 () (or @t563 @t578 @t573 @t558)) 18.76/19.30 (define @t586 () (forall @t584 @t585)) 18.76/19.30 (define @t587 () (or @t563 @t578 @t573)) 18.76/19.30 (define @t588 () (or @t476 @t475)) 18.76/19.30 (define @t589 () (or @t525 @t524 @t523 @t522 @t519 @t518 @t517 @t516 @t514 @t511 @t509 @t508 @t507 @t506 @t505 @t504 @t495 @t489 @t488 @t487 @t483 @t479)) 18.76/19.30 (define @t590 () (or @t555 @t554 @t552 @t540 @t535 @t532 @t529 @t528 @t527 @t526 @t589 @t588)) 18.76/19.30 (define @t591 () (forall @t557 @t590)) 18.76/19.30 (define @t592 () (forall (@list @t473 @t472 @t471 @t470 @t469 @t468 @t467 @t466 @t465 @t464 @t463 @t462) @t590)) 18.76/19.30 (define @t593 () (forall (@list @t462) @t588)) 18.76/19.30 (define @t594 () (forall (@list @t472 @t471 @t470 @t469 @t468 @t467 @t466 @t465 @t464 @t463) @t589)) 18.76/19.30 (define @t595 () (@var "BOUND_VARIABLE_9045" tptp.vertex1)) 18.76/19.30 (define @t596 () (@var "BOUND_VARIABLE_9043" tptp.vertex1)) 18.76/19.30 (define @t597 () (@var "BOUND_VARIABLE_9041" tptp.map_vertex_int)) 18.76/19.30 (define @t598 () (@var "BOUND_VARIABLE_9039" tptp.set_vertex)) 18.76/19.30 (define @t599 () (@var "BOUND_VARIABLE_9037" tptp.vertex1)) 18.76/19.30 (define @t600 () (@var "BOUND_VARIABLE_9035" tptp.vertex1)) 18.76/19.30 (define @t601 () (@var "BOUND_VARIABLE_9033" tptp.map_vertex_int)) 18.76/19.30 (define @t602 () (@var "BOUND_VARIABLE_9031" tptp.set_vertex)) 18.76/19.30 (define @t603 () (@var "BOUND_VARIABLE_9029" tptp.set_vertex)) 18.76/19.30 (define @t604 () (forall (@list @t473) @t526)) 18.76/19.30 (define @t605 () (@list @t22)) 18.76/19.30 (define @t606 () (or @t555 @t554 @t552 @t540 @t535 @t532 @t529 @t528 @t527 @t604 @t594 @t593)) 18.76/19.30 (define @t607 () (= tptp.true1 @t192)) 18.76/19.30 (define @t608 () (= @t190 @t607)) 18.76/19.30 (define @t609 () (or @t608 @t607)) 18.76/19.30 (define @t610 () (forall @t198 @t609)) 18.76/19.30 (define @t611 () (tptp.t2tb @t598)) 18.76/19.30 (define @t612 () (tptp.t2tb2 @t595)) 18.76/19.30 (define @t613 () (tptp.mem tptp.vertex @t612 @t611)) 18.76/19.30 (define @t614 () (tptp.t2tb @t158)) 18.76/19.30 (define @t615 () (tptp.mem tptp.vertex @t612 @t614)) 18.76/19.30 (define @t616 () (= @t41 @t596)) 18.76/19.30 (define @t617 () (tptp.t2tb @t603)) 18.76/19.30 (define @t618 () (tptp.t2tb2 @t599)) 18.76/19.30 (define @t619 () (and @t616 (or (tptp.mem tptp.vertex @t612 (tptp.t2tb (tptp.tb2t (tptp.remove tptp.vertex @t618 @t617)))) (not @t616)))) 18.76/19.30 (define @t620 () (not (tptp.mem tptp.vertex @t612 (tptp.t2tb (tptp.g_succ1 @t596))))) 18.76/19.30 (define @t621 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t596) @t614))) 18.76/19.30 (define @t622 () (tptp.t2tb1 @t597)) 18.76/19.30 (define @t623 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t622 @t618))) 18.76/19.30 (define @t624 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t622 @t61))) 18.76/19.30 (define @t625 () (tptp.weight1 @t41 @t599)) 18.76/19.30 (define @t626 () (+ @t625 @t624 (* -1 @t623))) 18.76/19.30 (define @t627 () (and (not (>= @t626 1)) (not (= @t625 (+ (* -1 @t624) @t623))))) 18.76/19.30 (define @t628 () (not (= @t602 @t598))) 18.76/19.30 (define @t629 () (not (= @t601 @t597))) 18.76/19.30 (define @t630 () (tptp.mem tptp.vertex @t618 @t614)) 18.76/19.30 (define @t631 () (not (tptp.mem tptp.vertex @t618 @t611))) 18.76/19.30 (define @t632 () (tptp.t2tb1 @t601)) 18.76/19.30 (define @t633 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t632 @t61))) 18.76/19.30 (define @t634 () (not (= @t597 (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t632 @t618 (tptp.t2tb3 (+ @t633 @t625))))))) 18.76/19.30 (define @t635 () (tptp.t2tb @t602)) 18.76/19.30 (define @t636 () (and (or @t631 @t628 @t634 (>= (+ @t633 @t625 (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t632 @t618)))) 0)) (or (tptp.mem tptp.vertex @t618 @t635) (not (= @t598 (tptp.tb2t (tptp.add tptp.vertex @t618 @t635)))) @t634 @t630) (or @t628 @t629 (not (>= @t626 0)) @t631) (or (not @t630) @t629 @t628))) 18.76/19.30 (define @t637 () (not (tptp.mem tptp.vertex @t618 @t617))) 18.76/19.30 (define @t638 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t600) @t617))) 18.76/19.30 (define @t639 () (not (tptp.inv_src1 @t120 @t158 @t602))) 18.76/19.30 (define @t640 () (not (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t632 @t122)) 0))) 18.76/19.30 (define @t641 () (not (tptp.subset tptp.vertex @t635 @t124))) 18.76/19.30 (define @t642 () (tptp.mem tptp.vertex @t396 @t614)) 18.76/19.30 (define @t643 () (not (tptp.mem tptp.vertex @t55 @t614))) 18.76/19.30 (define @t644 () (not (forall @t400 (or @t643 @t399 (and @t42 (or @t48 (tptp.mem tptp.vertex @t396 @t617))) (and (or @t642 (tptp.mem tptp.vertex @t396 @t635)) (>= (+ @t397 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t632 @t55)) (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t632 @t396)))) 0)))))) 18.76/19.30 (define @t645 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t632 @t66))) 18.76/19.30 (define @t646 () (not (tptp.mem tptp.vertex @t66 @t635))) 18.76/19.30 (define @t647 () (not (forall @t144 (or @t646 (tptp.path1 @t120 @t59 @t645))))) 18.76/19.30 (define @t648 () (not (tptp.mem tptp.vertex @t66 @t614))) 18.76/19.30 (define @t649 () (not (forall @t144 (or @t648 (tptp.shortest_path1 @t120 @t59 @t645))))) 18.76/19.30 (define @t650 () (not (forall @t144 (or @t646 @t648)))) 18.76/19.30 (define @t651 () (not (forall @t27 (or (not (tptp.mem tptp.vertex @t55 @t617)) @t150)))) 18.76/19.30 (define @t652 () (not (tptp.subset tptp.vertex @t614 @t124))) 18.76/19.30 (define @t653 () (* -1 @t166)) 18.76/19.30 (define @t654 () (+ @t163 @t653)) 18.76/19.30 (define @t655 () (>= @t654 0)) 18.76/19.30 (define @t656 () (forall @t169 (or (not @t167) @t655))) 18.76/19.30 (define @t657 () (not @t656)) 18.76/19.30 (define @t658 () (not @t171)) 18.76/19.30 (define @t659 () (+ @t179 @t653)) 18.76/19.30 (define @t660 () (>= @t659 0)) 18.76/19.30 (define @t661 () (forall @t27 (or @t188 @t660))) 18.76/19.30 (define @t662 () (not @t661)) 18.76/19.30 (define @t663 () (not @t183)) 18.76/19.30 (define @t664 () (or @t663 @t662 @t658 @t657 @t652 @t651 @t650 @t649 @t647 @t644 @t641 @t640 @t639 @t638 @t637 @t636 @t627 @t621 @t620 @t619 @t615 @t613)) 18.76/19.30 (define @t665 () (@list @t41 @t603 @t602 @t601 @t600 @t599 @t598 @t597 @t596 @t595)) 18.76/19.30 (define @t666 () (forall @t665 @t664)) 18.76/19.30 (define @t667 () (or @t555 @t554 @t552 @t540 @t535 @t532 @t529 @t528 @t527 @t189 @t666 @t610)) 18.76/19.30 (define @t668 () (or @t189 @t666 @t610)) 18.76/19.30 (define @t669 () (or @t555 @t554 @t552 @t540 @t535 @t532 @t529 @t528 @t527)) 18.76/19.30 (define @t670 () (and @t237 @t553 @t551 @t539 @t534 @t531 @t202 @t201 @t200)) 18.76/19.30 (define @t671 () (or @t189 @t666 @t609)) 18.76/19.30 (define @t672 () (or @t608 @t607 @t189 @t666)) 18.76/19.30 (define @t673 () (or @t607 @t189 @t666)) 18.76/19.30 (define @t674 () (=> @t190 @t666)) 18.76/19.30 (define @t675 () (not @t607)) 18.76/19.30 (define @t676 () (=> @t675 @t674)) 18.76/19.30 (define @t677 () (= @t189 @t607)) 18.76/19.30 (define @t678 () (not (= @t176 @t176))) 18.76/19.30 (define @t679 () (or @t663 @t662 @t678 @t658 @t657 @t652 @t651 @t650 @t649 @t647 @t644 @t641 @t640 @t639 @t638 @t637 @t636 @t627 @t621 @t620 @t619 @t615 @t613)) 18.76/19.30 (define @t680 () (not @t178)) 18.76/19.30 (define @t681 () (or @t680 @t663 @t662 @t680 @t658 @t657 @t652 @t651 @t650 @t649 @t647 @t644 @t641 @t640 @t639 @t638 @t637 @t636 @t627 @t621 @t620 @t619 @t615 @t613)) 18.76/19.30 (define @t682 () (@list @t177)) 18.76/19.30 (define @t683 () (or @t663 @t662 @t680 @t658 @t657 @t652 @t651 @t650 @t649 @t647 @t644 @t641 @t640 @t639 @t638 @t637 @t636 @t627 @t621 @t620 @t619 @t615 @t613)) 18.76/19.30 (define @t684 () (forall @t682 @t683)) 18.76/19.30 (define @t685 () (forall @t665 @t684)) 18.76/19.30 (define @t686 () (forall (@list @t41 @t603 @t602 @t601 @t600 @t599 @t598 @t597 @t596 @t595 @t177) @t683)) 18.76/19.30 (define @t687 () (@list @t177 @t41 @t603 @t602 @t601 @t600 @t599 @t598 @t597 @t596 @t595)) 18.76/19.30 (define @t688 () (or @t651 @t650 @t649 @t647 @t644 @t641 @t640 @t639 @t638 @t637 @t636 @t627 @t621 @t620 @t619 @t615 @t613)) 18.76/19.30 (define @t689 () (or @t663 @t662 @t680 @t658 @t657 @t652 @t688)) 18.76/19.30 (define @t690 () (forall @t687 @t689)) 18.76/19.30 (define @t691 () (@list @t603 @t602 @t601 @t600 @t599 @t598 @t597 @t596 @t595)) 18.76/19.30 (define @t692 () (forall @t691 @t689)) 18.76/19.30 (define @t693 () (forall @t691 @t688)) 18.76/19.30 (define @t694 () (@var "BOUND_VARIABLE_8839" tptp.vertex1)) 18.76/19.30 (define @t695 () (@var "BOUND_VARIABLE_8837" tptp.vertex1)) 18.76/19.30 (define @t696 () (@var "BOUND_VARIABLE_8835" tptp.map_vertex_int)) 18.76/19.30 (define @t697 () (@var "BOUND_VARIABLE_8833" tptp.set_vertex)) 18.76/19.30 (define @t698 () (@var "BOUND_VARIABLE_8831" tptp.vertex1)) 18.76/19.30 (define @t699 () (@var "BOUND_VARIABLE_8829" tptp.vertex1)) 18.76/19.30 (define @t700 () (@var "BOUND_VARIABLE_8827" tptp.map_vertex_int)) 18.76/19.30 (define @t701 () (@var "BOUND_VARIABLE_8825" tptp.set_vertex)) 18.76/19.30 (define @t702 () (@var "BOUND_VARIABLE_8823" tptp.set_vertex)) 18.76/19.30 (define @t703 () (@list @t702 @t701 @t700 @t699 @t698 @t697 @t696 @t695 @t694)) 18.76/19.30 (define @t704 () (or @t663 @t662 @t680 @t658 @t657 @t652 @t693)) 18.76/19.30 (define @t705 () (tptp.t2tb @t697)) 18.76/19.30 (define @t706 () (tptp.t2tb2 @t694)) 18.76/19.30 (define @t707 () (tptp.mem tptp.vertex @t706 @t705)) 18.76/19.30 (define @t708 () (tptp.mem tptp.vertex @t706 @t614)) 18.76/19.30 (define @t709 () (= @t41 @t695)) 18.76/19.30 (define @t710 () (tptp.t2tb @t702)) 18.76/19.30 (define @t711 () (tptp.t2tb2 @t698)) 18.76/19.30 (define @t712 () (and @t709 (or (tptp.mem tptp.vertex @t706 (tptp.t2tb (tptp.tb2t (tptp.remove tptp.vertex @t711 @t710)))) (not @t709)))) 18.76/19.30 (define @t713 () (not (tptp.mem tptp.vertex @t706 (tptp.t2tb (tptp.g_succ1 @t695))))) 18.76/19.30 (define @t714 () (tptp.t2tb2 @t695)) 18.76/19.30 (define @t715 () (not (tptp.mem tptp.vertex @t714 @t614))) 18.76/19.30 (define @t716 () (tptp.t2tb1 @t696)) 18.76/19.30 (define @t717 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t716 @t711))) 18.76/19.30 (define @t718 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t716 @t61))) 18.76/19.30 (define @t719 () (tptp.weight1 @t41 @t698)) 18.76/19.30 (define @t720 () (+ @t719 @t718 (* -1 @t717))) 18.76/19.30 (define @t721 () (and (not (>= @t720 1)) (not (= @t719 (+ (* -1 @t718) @t717))))) 18.76/19.30 (define @t722 () (not (= @t701 @t697))) 18.76/19.30 (define @t723 () (not (= @t700 @t696))) 18.76/19.30 (define @t724 () (tptp.mem tptp.vertex @t711 @t614)) 18.76/19.30 (define @t725 () (not (tptp.mem tptp.vertex @t711 @t705))) 18.76/19.30 (define @t726 () (or @t722 @t723 (not (>= @t720 0)) @t725)) 18.76/19.30 (define @t727 () (tptp.t2tb1 @t700)) 18.76/19.30 (define @t728 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t727 @t61))) 18.76/19.30 (define @t729 () (not (= @t696 (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t727 @t711 (tptp.t2tb3 (+ @t728 @t719))))))) 18.76/19.30 (define @t730 () (tptp.t2tb @t701)) 18.76/19.30 (define @t731 () (not (= @t697 (tptp.tb2t (tptp.add tptp.vertex @t711 @t730))))) 18.76/19.30 (define @t732 () (tptp.mem tptp.vertex @t711 @t730)) 18.76/19.30 (define @t733 () (or @t725 @t722 @t729 (>= (+ @t728 @t719 (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t727 @t711)))) 0))) 18.76/19.30 (define @t734 () (and @t733 (or @t732 @t731 @t729 @t724) @t726 (or (not @t724) @t723 @t722))) 18.76/19.30 (define @t735 () (not (tptp.mem tptp.vertex @t711 @t710))) 18.76/19.30 (define @t736 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t699) @t710))) 18.76/19.30 (define @t737 () (not (tptp.inv_src1 @t120 @t158 @t701))) 18.76/19.30 (define @t738 () (not (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t727 @t122)) 0))) 18.76/19.30 (define @t739 () (not (tptp.subset tptp.vertex @t730 @t124))) 18.76/19.30 (define @t740 () (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t727 @t396)))) 18.76/19.30 (define @t741 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t727 @t55))) 18.76/19.30 (define @t742 () (+ @t397 @t741 @t740)) 18.76/19.30 (define @t743 () (>= @t742 0)) 18.76/19.30 (define @t744 () (tptp.mem tptp.vertex @t396 @t730)) 18.76/19.30 (define @t745 () (and @t42 (or @t48 (tptp.mem tptp.vertex @t396 @t710)))) 18.76/19.30 (define @t746 () (not (forall @t400 (or @t643 @t399 @t745 (and (or @t642 @t744) @t743))))) 18.76/19.30 (define @t747 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t727 @t66))) 18.76/19.30 (define @t748 () (not (tptp.mem tptp.vertex @t66 @t730))) 18.76/19.30 (define @t749 () (not (forall @t144 (or @t748 (tptp.path1 @t120 @t59 @t747))))) 18.76/19.30 (define @t750 () (tptp.shortest_path1 @t120 @t59 @t747)) 18.76/19.30 (define @t751 () (not (forall @t144 (or @t648 @t750)))) 18.76/19.30 (define @t752 () (not (forall @t144 (or @t748 @t648)))) 18.76/19.30 (define @t753 () (not (forall @t27 (or (not (tptp.mem tptp.vertex @t55 @t710)) @t150)))) 18.76/19.30 (define @t754 () (or @t753 @t752 @t751 @t749 @t746 @t739 @t738 @t737 @t736 @t735 @t734 @t721 @t715 @t713 @t712 @t708 @t707)) 18.76/19.30 (define @t755 () (@list @t702 @t701 @t700 @t699 @t698 @t697 @t696 @t695 @t694)) 18.76/19.30 (define @t756 () (forall @t755 @t754)) 18.76/19.30 (define @t757 () (or @t663 @t662 @t680 @t658 @t657 @t652 @t756)) 18.76/19.30 (define @t758 () (or @t658 @t657 @t652 @t756)) 18.76/19.30 (define @t759 () (or @t663 @t662 @t680)) 18.76/19.30 (define @t760 () (or @t652 @t756)) 18.76/19.30 (define @t761 () (and @t171 @t656)) 18.76/19.30 (define @t762 () (=> @t761 @t760)) 18.76/19.30 (define @t763 () (and @t183 @t661 @t178)) 18.76/19.30 (define @t764 () (or @t652 @t754)) 18.76/19.30 (define @t765 () (or @t652 @t753 @t752 @t751 @t749 @t746 @t739 @t738 @t737 @t736 @t735 @t734 @t721 @t715 @t713 @t712 @t708 @t707)) 18.76/19.30 (define @t766 () (not (= @t158 @t158))) 18.76/19.30 (define @t767 () (or @t766 @t652 @t753 @t752 @t751 @t749 @t746 @t739 @t738 @t737 @t736 @t735 @t734 @t721 @t715 @t713 @t712 @t708 @t707)) 18.76/19.30 (define @t768 () (tptp.mem tptp.vertex @t706 @t38)) 18.76/19.30 (define @t769 () (not (tptp.mem tptp.vertex @t714 @t38))) 18.76/19.30 (define @t770 () (tptp.mem tptp.vertex @t711 @t38)) 18.76/19.30 (define @t771 () (and @t733 (or @t732 @t731 @t729 @t770) @t726 (or (not @t770) @t723 @t722))) 18.76/19.30 (define @t772 () (not (tptp.inv_src1 @t120 @t37 @t701))) 18.76/19.30 (define @t773 () (tptp.mem tptp.vertex @t396 @t38)) 18.76/19.30 (define @t774 () (or @t773 @t744)) 18.76/19.30 (define @t775 () (not @t56)) 18.76/19.30 (define @t776 () (not (forall @t400 (or @t775 @t399 @t745 (and @t774 @t743))))) 18.76/19.30 (define @t777 () (not (forall @t144 (or @t80 @t750)))) 18.76/19.30 (define @t778 () (not (forall @t144 (or @t748 @t80)))) 18.76/19.30 (define @t779 () (not @t125)) 18.76/19.30 (define @t780 () (not @t159)) 18.76/19.30 (define @t781 () (or @t780 @t780 @t779 @t753 @t778 @t777 @t749 @t776 @t739 @t738 @t772 @t736 @t735 @t771 @t721 @t769 @t713 @t712 @t768 @t707)) 18.76/19.30 (define @t782 () (or @t780 @t779 @t753 @t778 @t777 @t749 @t776 @t739 @t738 @t772 @t736 @t735 @t771 @t721 @t769 @t713 @t712 @t768 @t707)) 18.76/19.30 (define @t783 () (forall @t161 @t782)) 18.76/19.30 (define @t784 () (forall @t755 @t783)) 18.76/19.30 (define @t785 () (forall (@list @t702 @t701 @t700 @t699 @t698 @t697 @t696 @t695 @t694 @t37) @t782)) 18.76/19.30 (define @t786 () (@list @t37 @t702 @t701 @t700 @t699 @t698 @t697 @t696 @t695 @t694)) 18.76/19.30 (define @t787 () (+ @t741 @t397 @t740)) 18.76/19.30 (define @t788 () (>= @t787 0)) 18.76/19.30 (define @t789 () (and @t774 @t788)) 18.76/19.30 (define @t790 () (or @t775 @t399 @t745 @t789)) 18.76/19.30 (define @t791 () (forall @t400 @t790)) 18.76/19.30 (define @t792 () (not @t791)) 18.76/19.30 (define @t793 () (or @t780 @t779 @t753 @t778 @t777 @t749 @t792 @t739 @t738 @t772 @t736 @t735 @t771 @t721 @t769 @t713 @t712 @t768 @t707)) 18.76/19.30 (define @t794 () (or @t753 @t778 @t777 @t749 @t792 @t739 @t738 @t772 @t736 @t735 @t771 @t721 @t769 @t713 @t712 @t768 @t707)) 18.76/19.30 (define @t795 () (or @t780 @t779 @t794)) 18.76/19.30 (define @t796 () (forall @t786 @t795)) 18.76/19.30 (define @t797 () (forall @t755 @t795)) 18.76/19.30 (define @t798 () (forall @t755 @t794)) 18.76/19.30 (define @t799 () (@var "BOUND_VARIABLE_8720" tptp.vertex1)) 18.76/19.30 (define @t800 () (@var "BOUND_VARIABLE_8718" tptp.vertex1)) 18.76/19.30 (define @t801 () (@var "BOUND_VARIABLE_8716" tptp.map_vertex_int)) 18.76/19.30 (define @t802 () (@var "BOUND_VARIABLE_8714" tptp.set_vertex)) 18.76/19.30 (define @t803 () (@var "BOUND_VARIABLE_8712" tptp.vertex1)) 18.76/19.30 (define @t804 () (@var "BOUND_VARIABLE_8707" tptp.vertex1)) 18.76/19.30 (define @t805 () (or @t780 @t779 @t798)) 18.76/19.30 (define @t806 () (tptp.t2tb @t802)) 18.76/19.30 (define @t807 () (tptp.t2tb2 @t799)) 18.76/19.30 (define @t808 () (tptp.mem tptp.vertex @t807 @t806)) 18.76/19.30 (define @t809 () (tptp.mem tptp.vertex @t807 @t38)) 18.76/19.30 (define @t810 () (= @t41 @t800)) 18.76/19.30 (define @t811 () (tptp.t2tb2 @t803)) 18.76/19.30 (define @t812 () (and @t810 (or (tptp.mem tptp.vertex @t807 (tptp.t2tb (tptp.tb2t (tptp.remove tptp.vertex @t811 @t101)))) (not @t810)))) 18.76/19.30 (define @t813 () (not (tptp.mem tptp.vertex @t807 (tptp.t2tb (tptp.g_succ1 @t800))))) 18.76/19.30 (define @t814 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t800) @t38))) 18.76/19.30 (define @t815 () (tptp.t2tb1 @t801)) 18.76/19.30 (define @t816 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t815 @t811))) 18.76/19.30 (define @t817 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t815 @t61))) 18.76/19.30 (define @t818 () (tptp.weight1 @t41 @t803)) 18.76/19.30 (define @t819 () (+ @t818 @t817 (* -1 @t816))) 18.76/19.30 (define @t820 () (and (not (>= @t819 1)) (not (= @t818 (+ (* -1 @t817) @t816))))) 18.76/19.30 (define @t821 () (not (= @t71 @t802))) 18.76/19.30 (define @t822 () (not (= @t73 @t801))) 18.76/19.30 (define @t823 () (tptp.mem tptp.vertex @t811 @t38)) 18.76/19.30 (define @t824 () (or (not @t823) @t822 @t821)) 18.76/19.30 (define @t825 () (not (tptp.mem tptp.vertex @t811 @t806))) 18.76/19.30 (define @t826 () (or @t821 @t822 (not (>= @t819 0)) @t825)) 18.76/19.30 (define @t827 () (+ @t82 @t818)) 18.76/19.30 (define @t828 () (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t81 @t811 (tptp.t2tb3 @t827)))) 18.76/19.30 (define @t829 () (not (= @t801 @t828))) 18.76/19.30 (define @t830 () (tptp.tb2t (tptp.add tptp.vertex @t811 @t88))) 18.76/19.30 (define @t831 () (tptp.mem tptp.vertex @t811 @t88)) 18.76/19.30 (define @t832 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t81 @t811))) 18.76/19.30 (define @t833 () (+ @t82 @t818 (* -1 @t832))) 18.76/19.30 (define @t834 () (>= @t833 0)) 18.76/19.30 (define @t835 () (not (tptp.mem tptp.vertex @t811 @t101))) 18.76/19.30 (define @t836 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t804) @t101))) 18.76/19.30 (define @t837 () (not @t121)) 18.76/19.30 (define @t838 () (not @t123)) 18.76/19.30 (define @t839 () (not @t126)) 18.76/19.30 (define @t840 () (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t81 @t396)))) 18.76/19.30 (define @t841 () (+ @t128 @t397 @t840)) 18.76/19.30 (define @t842 () (or @t773 (tptp.mem tptp.vertex @t396 @t88))) 18.76/19.30 (define @t843 () (and @t42 (or @t48 (tptp.mem tptp.vertex @t396 @t101)))) 18.76/19.30 (define @t844 () (forall @t400 (or @t775 @t399 @t843 (and @t842 (>= @t841 0))))) 18.76/19.30 (define @t845 () (not @t844)) 18.76/19.30 (define @t846 () (forall @t144 (or @t92 @t143))) 18.76/19.30 (define @t847 () (not @t846)) 18.76/19.30 (define @t848 () (forall @t144 (or @t80 @t146))) 18.76/19.30 (define @t849 () (not @t848)) 18.76/19.30 (define @t850 () (forall @t144 (or @t92 @t80))) 18.76/19.30 (define @t851 () (not @t850)) 18.76/19.30 (define @t852 () (forall @t27 (or @t110 @t150))) 18.76/19.30 (define @t853 () (not @t852)) 18.76/19.30 (define @t854 () (@list @t100 @t71 @t73 @t804 @t803 @t802 @t801 @t800 @t799)) 18.76/19.30 (define @t855 () (forall @t854 (or @t853 @t851 @t849 @t847 @t845 @t839 @t838 @t837 @t836 @t835 (and (or @t825 @t821 @t829 @t834) (or @t831 (not (= @t802 @t830)) @t829 @t823) @t826 @t824) @t820 @t814 @t813 @t812 @t809 @t808))) 18.76/19.30 (define @t856 () (or @t780 @t779 @t855)) 18.76/19.30 (define @t857 () (or @t779 @t855)) 18.76/19.30 (define @t858 () (+ @t818 @t82)) 18.76/19.30 (define @t859 () (tptp.t2tb3 @t858)) 18.76/19.30 (define @t860 () (tptp.set1 tptp.int tptp.vertex @t81 @t811 @t859)) 18.76/19.30 (define @t861 () (tptp.tb2t1 @t860)) 18.76/19.30 (define @t862 () (= @t861 @t801)) 18.76/19.30 (define @t863 () (not @t862)) 18.76/19.30 (define @t864 () (not (= @t830 @t802))) 18.76/19.30 (define @t865 () (or @t831 @t864 @t863 @t823)) 18.76/19.30 (define @t866 () (* -1 @t818)) 18.76/19.30 (define @t867 () (* -1 @t82)) 18.76/19.30 (define @t868 () (+ @t867 @t866 @t832)) 18.76/19.30 (define @t869 () (+ @t833 1)) 18.76/19.30 (define @t870 () (+ @t832 @t866 @t867)) 18.76/19.30 (define @t871 () (>= @t870 1)) 18.76/19.30 (define @t872 () (not @t871)) 18.76/19.30 (define @t873 () (or @t825 @t821 @t863 @t872)) 18.76/19.30 (define @t874 () (and @t873 @t865 @t826 @t824)) 18.76/19.30 (define @t875 () (or @t853 @t851 @t849 @t847 @t845 @t839 @t838 @t837 @t836 @t835 @t874 @t820 @t814 @t813 @t812 @t809 @t808)) 18.76/19.30 (define @t876 () (or @t835 @t874 @t820 @t814 @t813 @t812 @t809 @t808)) 18.76/19.30 (define @t877 () (or @t853 @t851 @t849 @t847 @t845 @t839 @t838 @t837 @t836 @t876)) 18.76/19.30 (define @t878 () (forall @t854 @t877)) 18.76/19.30 (define @t879 () (forall (@list @t804 @t803 @t802 @t801 @t800 @t799) @t877)) 18.76/19.30 (define @t880 () (forall (@list @t803 @t802 @t801 @t800 @t799) @t876)) 18.76/19.30 (define @t881 () (@var "BOUND_VARIABLE_8593" tptp.vertex1)) 18.76/19.30 (define @t882 () (@var "BOUND_VARIABLE_8591" tptp.vertex1)) 18.76/19.30 (define @t883 () (@var "BOUND_VARIABLE_8589" tptp.map_vertex_int)) 18.76/19.30 (define @t884 () (@var "BOUND_VARIABLE_8587" tptp.set_vertex)) 18.76/19.30 (define @t885 () (forall (@list @t804) @t836)) 18.76/19.30 (define @t886 () (or @t853 @t851 @t849 @t847 @t845 @t839 @t838 @t837 @t885 @t880)) 18.76/19.30 (define @t887 () (tptp.t2tb @t884)) 18.76/19.30 (define @t888 () (tptp.t2tb2 @t881)) 18.76/19.30 (define @t889 () (tptp.mem tptp.vertex @t888 @t887)) 18.76/19.30 (define @t890 () (tptp.mem tptp.vertex @t888 @t38)) 18.76/19.30 (define @t891 () (= @t41 @t882)) 18.76/19.30 (define @t892 () (not @t891)) 18.76/19.30 (define @t893 () (and @t891 (or (tptp.mem tptp.vertex @t888 (tptp.t2tb @t102)) @t892))) 18.76/19.30 (define @t894 () (not (tptp.mem tptp.vertex @t888 (tptp.t2tb (tptp.g_succ1 @t882))))) 18.76/19.30 (define @t895 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t882) @t38))) 18.76/19.30 (define @t896 () (tptp.t2tb1 @t883)) 18.76/19.30 (define @t897 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t896 @t66))) 18.76/19.30 (define @t898 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t896 @t61))) 18.76/19.30 (define @t899 () (+ @t60 @t898 (* -1 @t897))) 18.76/19.30 (define @t900 () (and (not (>= @t899 1)) (not (= @t60 (+ (* -1 @t898) @t897))))) 18.76/19.30 (define @t901 () (not (= @t71 @t884))) 18.76/19.30 (define @t902 () (not (= @t73 @t883))) 18.76/19.30 (define @t903 () (or @t80 @t902 @t901)) 18.76/19.30 (define @t904 () (not (tptp.mem tptp.vertex @t66 @t887))) 18.76/19.30 (define @t905 () (or @t901 @t902 (not (>= @t899 0)) @t904)) 18.76/19.30 (define @t906 () (+ @t60 @t82)) 18.76/19.30 (define @t907 () (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t81 @t66 (tptp.t2tb3 @t906)))) 18.76/19.30 (define @t908 () (not (= @t907 @t883))) 18.76/19.30 (define @t909 () (+ @t94 (* -1 @t60) @t867)) 18.76/19.30 (define @t910 () (>= @t909 1)) 18.76/19.30 (define @t911 () (not @t910)) 18.76/19.30 (define @t912 () (and (or @t904 @t901 @t908 @t911) (or @t91 (not (= @t89 @t884)) @t908 @t75) @t905 @t903)) 18.76/19.30 (define @t913 () (not @t104)) 18.76/19.30 (define @t914 () (or @t913 @t912 @t900 @t895 @t894 @t893 @t890 @t889)) 18.76/19.30 (define @t915 () (@list @t59 @t884 @t883 @t882 @t881)) 18.76/19.30 (define @t916 () (forall @t915 @t914)) 18.76/19.30 (define @t917 () (or @t853 @t851 @t849 @t847 @t845 @t839 @t838 @t837 @t111 @t916)) 18.76/19.30 (define @t918 () (forall @t154 @t917)) 18.76/19.30 (define @t919 () (or @t779 @t918)) 18.76/19.30 (define @t920 () (or @t779 @t917)) 18.76/19.30 (define @t921 () (or @t853 @t851 @t849 @t847 @t845 @t839 @t779 @t838 @t837 @t111 @t916)) 18.76/19.30 (define @t922 () (or @t111 @t916)) 18.76/19.30 (define @t923 () (or @t853 @t851 @t849 @t847 @t845 @t839 @t779 @t838 @t837)) 18.76/19.30 (define @t924 () (or @t111 @t916 @t111)) 18.76/19.30 (define @t925 () (and @t852 @t850 @t848 @t846 @t844 @t126 @t125 @t123 @t121)) 18.76/19.30 (define @t926 () (= tptp.true1 tptp.true1)) 18.76/19.30 (define @t927 () (not @t926)) 18.76/19.30 (define @t928 () (= @t111 @t926)) 18.76/19.30 (define @t929 () (or @t928 @t927)) 18.76/19.30 (define @t930 () (= tptp.true1 @t114)) 18.76/19.30 (define @t931 () (not @t930)) 18.76/19.30 (define @t932 () (= @t111 @t930)) 18.76/19.30 (define @t933 () (or @t931 @t932 @t931)) 18.76/19.30 (define @t934 () (or @t932 @t931)) 18.76/19.30 (define @t935 () (forall @t118 @t934)) 18.76/19.30 (define @t936 () (or @t111 @t916 @t935)) 18.76/19.30 (define @t937 () (or @t111 @t916 @t934)) 18.76/19.30 (define @t938 () (or @t932 @t931 @t111 @t916)) 18.76/19.30 (define @t939 () (or @t931 @t111 @t916)) 18.76/19.30 (define @t940 () (not @t112)) 18.76/19.30 (define @t941 () (=> @t112 @t916)) 18.76/19.30 (define @t942 () (=> @t930 @t941)) 18.76/19.30 (define @t943 () (= @t112 @t930)) 18.76/19.30 (define @t944 () (not (= @t102 @t102))) 18.76/19.30 (define @t945 () (or @t913 @t944 @t912 @t900 @t895 @t894 @t893 @t890 @t889)) 18.76/19.30 (define @t946 () (and @t891 (or (tptp.mem tptp.vertex @t888 @t44) @t892))) 18.76/19.30 (define @t947 () (not @t103)) 18.76/19.30 (define @t948 () (or @t947 @t913 @t947 @t912 @t900 @t895 @t894 @t946 @t890 @t889)) 18.76/19.30 (define @t949 () (@list @t43)) 18.76/19.30 (define @t950 () (or @t913 @t947 @t912 @t900 @t895 @t894 @t946 @t890 @t889)) 18.76/19.30 (define @t951 () (forall @t949 @t950)) 18.76/19.30 (define @t952 () (forall @t915 @t951)) 18.76/19.30 (define @t953 () (forall (@list @t59 @t884 @t883 @t882 @t881 @t43) @t950)) 18.76/19.30 (define @t954 () (@list @t43 @t59 @t884 @t883 @t882 @t881)) 18.76/19.30 (define @t955 () (not (= @t883 @t907))) 18.76/19.30 (define @t956 () (not (= @t884 @t89))) 18.76/19.30 (define @t957 () (or @t91 @t956 @t955 @t75)) 18.76/19.30 (define @t958 () (or @t904 @t901 @t955 @t911)) 18.76/19.30 (define @t959 () (and @t958 @t957 @t905 @t903)) 18.76/19.30 (define @t960 () (or @t913 @t947 @t959 @t900 @t895 @t894 @t946 @t890 @t889)) 18.76/19.30 (define @t961 () (or @t959 @t900 @t895 @t894 @t946 @t890 @t889)) 18.76/19.30 (define @t962 () (or @t913 @t947 @t961)) 18.76/19.30 (define @t963 () (forall @t954 @t962)) 18.76/19.30 (define @t964 () (@list @t884 @t883 @t882 @t881)) 18.76/19.30 (define @t965 () (forall @t964 @t962)) 18.76/19.30 (define @t966 () (forall @t964 @t961)) 18.76/19.30 (define @t967 () (@var "BOUND_VARIABLE_8551" tptp.vertex1)) 18.76/19.30 (define @t968 () (@var "BOUND_VARIABLE_8549" tptp.vertex1)) 18.76/19.30 (define @t969 () (or @t913 @t947 @t966)) 18.76/19.30 (define @t970 () (tptp.t2tb2 @t967)) 18.76/19.30 (define @t971 () (tptp.mem tptp.vertex @t970 @t34)) 18.76/19.30 (define @t972 () (tptp.mem tptp.vertex @t970 @t38)) 18.76/19.30 (define @t973 () (= @t41 @t968)) 18.76/19.30 (define @t974 () (tptp.mem tptp.vertex @t970 @t44)) 18.76/19.30 (define @t975 () (not (tptp.mem tptp.vertex @t970 (tptp.t2tb (tptp.g_succ1 @t968))))) 18.76/19.30 (define @t976 () (not (tptp.mem tptp.vertex (tptp.t2tb2 @t968) @t38))) 18.76/19.30 (define @t977 () (+ (* -1 @t64) @t67)) 18.76/19.30 (define @t978 () (= @t60 @t977)) 18.76/19.30 (define @t979 () (+ @t60 @t64 (* -1 @t67))) 18.76/19.30 (define @t980 () (>= @t979 1)) 18.76/19.30 (define @t981 () (and (not @t980) (not @t978))) 18.76/19.30 (define @t982 () (= @t71 @t33)) 18.76/19.30 (define @t983 () (not @t982)) 18.76/19.30 (define @t984 () (= @t73 @t62)) 18.76/19.30 (define @t985 () (not @t984)) 18.76/19.30 (define @t986 () (or @t80 @t985 @t983)) 18.76/19.30 (define @t987 () (not @t77)) 18.76/19.30 (define @t988 () (>= @t979 0)) 18.76/19.30 (define @t989 () (not @t988)) 18.76/19.30 (define @t990 () (or @t983 @t985 @t989 @t987)) 18.76/19.30 (define @t991 () (= @t62 @t907)) 18.76/19.30 (define @t992 () (not @t991)) 18.76/19.30 (define @t993 () (not @t90)) 18.76/19.30 (define @t994 () (or @t987 @t983 @t992 @t911)) 18.76/19.30 (define @t995 () (and @t994 (or @t91 @t993 @t992 @t75) @t990 @t986)) 18.76/19.30 (define @t996 () (@list @t33 @t62 @t968 @t967)) 18.76/19.30 (define @t997 () (forall @t996 (or @t995 @t981 @t976 @t975 (and @t973 (or @t974 (not @t973))) @t972 @t971))) 18.76/19.30 (define @t998 () (or @t913 @t947 @t997)) 18.76/19.30 (define @t999 () (= @t968 @t41)) 18.76/19.30 (define @t1000 () (not @t999)) 18.76/19.30 (define @t1001 () (or @t974 @t1000)) 18.76/19.30 (define @t1002 () (and @t999 @t1001)) 18.76/19.30 (define @t1003 () (or @t995 @t981 @t976 @t975 @t1002 @t972 @t971)) 18.76/19.30 (define @t1004 () (or @t976 @t975 @t1002 @t972 @t971)) 18.76/19.30 (define @t1005 () (or @t995 @t981 @t1004)) 18.76/19.30 (define @t1006 () (forall @t996 @t1005)) 18.76/19.30 (define @t1007 () (@list @t968 @t967)) 18.76/19.30 (define @t1008 () (forall @t1007 @t1005)) 18.76/19.30 (define @t1009 () (forall @t1007 @t1004)) 18.76/19.30 (define @t1010 () (@var "BOUND_VARIABLE_8508" tptp.vertex1)) 18.76/19.30 (define @t1011 () (or @t995 @t981 @t1009)) 18.76/19.30 (define @t1012 () (tptp.t2tb2 @t1010)) 18.76/19.30 (define @t1013 () (tptp.mem tptp.vertex @t1012 @t34)) 18.76/19.30 (define @t1014 () (tptp.mem tptp.vertex @t1012 @t38)) 18.76/19.30 (define @t1015 () (and @t42 (or (tptp.mem tptp.vertex @t1012 @t44) @t48))) 18.76/19.30 (define @t1016 () (not (tptp.mem tptp.vertex @t1012 @t51))) 18.76/19.30 (define @t1017 () (or @t775 @t1016 @t1015 @t1014 @t1013)) 18.76/19.30 (define @t1018 () (@list @t22 @t1010)) 18.76/19.30 (define @t1019 () (forall @t1018 @t1017)) 18.76/19.30 (define @t1020 () (or @t995 @t981 @t1019)) 18.76/19.30 (define @t1021 () (or @t980 @t978)) 18.76/19.30 (define @t1022 () (not @t80)) 18.76/19.30 (define @t1023 () (not @t92)) 18.76/19.30 (define @t1024 () (or @t1023 @t993 @t992 @t1022)) 18.76/19.30 (define @t1025 () (and @t75 @t984 @t982)) 18.76/19.30 (define @t1026 () (not @t1025)) 18.76/19.30 (define @t1027 () (and @t982 @t984 @t988 @t77)) 18.76/19.30 (define @t1028 () (not @t1027)) 18.76/19.30 (define @t1029 () (and @t92 @t90 @t991 @t80)) 18.76/19.30 (define @t1030 () (not @t1029)) 18.76/19.30 (define @t1031 () (and @t77 @t982 @t991 @t910)) 18.76/19.30 (define @t1032 () (not @t1031)) 18.76/19.30 (define @t1033 () (and @t1032 @t1030 @t1028 @t1026)) 18.76/19.30 (define @t1034 () (=> @t1021 @t1019)) 18.76/19.30 (define @t1035 () (or @t1031 @t1029 @t1027 @t1025)) 18.76/19.30 (define @t1036 () (or @t1016 @t1015 @t1014 @t1013)) 18.76/19.30 (define @t1037 () (or @t775 @t1036)) 18.76/19.30 (define @t1038 () (forall @t1018 @t1037)) 18.76/19.30 (define @t1039 () (@list @t1010)) 18.76/19.30 (define @t1040 () (forall @t1039 @t1037)) 18.76/19.30 (define @t1041 () (forall @t1039 @t1036)) 18.76/19.30 (define @t1042 () (@list @t29)) 18.76/19.30 (define @t1043 () (or @t775 @t1041)) 18.76/19.30 (define @t1044 () (and @t42 (or @t45 @t48))) 18.76/19.30 (define @t1045 () (not @t52)) 18.76/19.30 (define @t1046 () (or @t1045 @t1044 @t39 @t36)) 18.76/19.30 (define @t1047 () (forall @t53 @t1046)) 18.76/19.30 (define @t1048 () (or @t1044 @t39 @t36)) 18.76/19.30 (define @t1049 () (not @t47)) 18.76/19.30 (define @t1050 () (not @t48)) 18.76/19.30 (define @t1051 () (+ @t60 @t64)) 18.76/19.30 (define @t1052 () (- @t67 @t1051)) 18.76/19.30 (define @t1053 () (+ @t979 1)) 18.76/19.30 (define @t1054 () (>= @t67 @t65)) 18.76/19.30 (define @t1055 () (+ @t909 1)) 18.76/19.30 (define @t1056 () (>= @t83 @t94)) 18.76/19.30 (define @t1057 () (+ @t397 @t840 @t128)) 18.76/19.30 (define @t1058 () (>= @t1057 0)) 18.76/19.30 (define @t1059 () (and @t842 @t1058)) 18.76/19.30 (define @t1060 () (or @t775 @t399 @t843 @t1059)) 18.76/19.30 (define @t1061 () (or @t399 @t843 @t1059)) 18.76/19.30 (define @t1062 () (or @t775 @t1061)) 18.76/19.30 (define @t1063 () (forall @t400 @t1062)) 18.76/19.30 (define @t1064 () (@list @t395)) 18.76/19.30 (define @t1065 () (forall @t1064 @t1062)) 18.76/19.30 (define @t1066 () (forall @t1064 @t1061)) 18.76/19.30 (define @t1067 () (or @t775 @t1066)) 18.76/19.30 (define @t1068 () (+ @t127 (* -1 @t130) @t128)) 18.76/19.30 (define @t1069 () (>= @t1068 0)) 18.76/19.30 (define @t1070 () (and @t132 @t1069)) 18.76/19.30 (define @t1071 () (and @t42 (or @t48 @t134))) 18.76/19.30 (define @t1072 () (or @t1045 @t1071 @t1070)) 18.76/19.30 (define @t1073 () (forall @t53 @t1072)) 18.76/19.30 (define @t1074 () (not @t136)) 18.76/19.30 (define @t1075 () (=> @t137 @t1070)) 18.76/19.30 (define @t1076 () (+ @t127 @t128)) 18.76/19.30 (define @t1077 () (or @t438 @t536)) 18.76/19.30 (define @t1078 () (or @t537 @t1077)) 18.76/19.30 (define @t1079 () (forall @t441 @t1078)) 18.76/19.30 (define @t1080 () (@list @t429)) 18.76/19.30 (define @t1081 () (forall @t1080 @t1078)) 18.76/19.30 (define @t1082 () (forall @t1080 @t1077)) 18.76/19.30 (define @t1083 () (or @t537 @t1082)) 18.76/19.30 (define @t1084 () (+ @t179 (* -1 @t211) @t127)) 18.76/19.30 (define @t1085 () (>= @t1084 0)) 18.76/19.30 (define @t1086 () (and @t212 @t1085)) 18.76/19.30 (define @t1087 () (forall @t53 (or @t1045 @t1086))) 18.76/19.30 (define @t1088 () (or @t448 @t543 @t541)) 18.76/19.30 (define @t1089 () (or @t549 @t544 @t1088)) 18.76/19.30 (define @t1090 () (forall @t449 @t1089)) 18.76/19.30 (define @t1091 () (@list @t444 @t447)) 18.76/19.30 (define @t1092 () (forall @t1091 @t1089)) 18.76/19.30 (define @t1093 () (forall @t1091 @t1088)) 18.76/19.30 (define @t1094 () (or @t549 @t544 @t1093)) 18.76/19.30 (define @t1095 () (+ @t222 @t542)) 18.76/19.30 (define @t1096 () (>= @t1095 0)) 18.76/19.30 (define @t1097 () (not @t224)) 18.76/19.30 (define @t1098 () (or @t1097 @t1096 @t216)) 18.76/19.30 (define @t1099 () (forall @t226 @t1098)) 18.76/19.30 (define @t1100 () (or @t549 @t544 @t1099)) 18.76/19.30 (define @t1101 () (and @t548 @t228)) 18.76/19.30 (define @t1102 () (not @t1096)) 18.76/19.30 (define @t1103 () (=> @t1102 @t216)) 18.76/19.30 (define @t1104 () (>= @t222 @t221)) 18.76/19.30 (define @t1105 () (+ @t179 1)) 18.76/19.30 (define @t1106 () (>= @t221 @t1105)) 18.76/19.30 (define @t1107 () (forall @t457 (or @t453 @t452 @t451 @t450 (not (forall @t441 (or @t439 @t438 (and @t436 (>= @t433 0))))) @t428 @t426 @t423 @t422 @t421 @t420 @t418 @t417 @t415 @t414 @t409 @t408 @t407 @t406 @t404 @t401 @t394 @t393 @t392 @t391 @t389 @t388 @t377 @t370 @t369 @t368 @t361 @t354 @t349 @t345))) 18.76/19.30 (define @t1108 () (= tptp.true1 (@quantifiers_skolemize @t1107 15))) 18.76/19.30 (define @t1109 () (@quantifiers_skolemize @t1107 1)) 18.76/19.30 (define @t1110 () (tptp.t2tb @t1109)) 18.76/19.30 (define @t1111 () (not (tptp.mem tptp.vertex @t55 @t1110))) 18.76/19.30 (define @t1112 () (@quantifiers_skolemize @t1107 11)) 18.76/19.30 (define @t1113 () (tptp.t2tb @t1112)) 18.76/19.30 (define @t1114 () (@quantifiers_skolemize @t1107 14)) 18.76/19.30 (define @t1115 () (tptp.t2tb2 @t1114)) 18.76/19.30 (define @t1116 () (tptp.mem tptp.vertex @t1115 @t1113)) 18.76/19.30 (define @t1117 () (@quantifiers_skolemize @t1107 3)) 18.76/19.30 (define @t1118 () (tptp.t2tb @t1117)) 18.76/19.30 (define @t1119 () (@quantifiers_skolemize @t1107 5)) 18.76/19.30 (define @t1120 () (tptp.t2tb2 @t1119)) 18.76/19.30 (define @t1121 () (tptp.add tptp.vertex @t1120 @t1118)) 18.76/19.30 (define @t1122 () (tptp.tb2t @t1121)) 18.76/19.30 (define @t1123 () (tptp.t2tb @t1122)) 18.76/19.30 (define @t1124 () (tptp.mem tptp.vertex @t1115 @t1123)) 18.76/19.30 (define @t1125 () (@quantifiers_skolemize @t1107 13)) 18.76/19.30 (define @t1126 () (= @t1119 @t1125)) 18.76/19.30 (define @t1127 () (not @t1126)) 18.76/19.30 (define @t1128 () (tptp.t2tb (@quantifiers_skolemize @t1107 6))) 18.76/19.30 (define @t1129 () (@quantifiers_skolemize @t1107 10)) 18.76/19.30 (define @t1130 () (tptp.t2tb2 @t1129)) 18.76/19.30 (define @t1131 () (tptp.remove tptp.vertex @t1130 @t1128)) 18.76/19.30 (define @t1132 () (tptp.t2tb (tptp.tb2t @t1131))) 18.76/19.30 (define @t1133 () (tptp.mem tptp.vertex @t1115 @t1132)) 18.76/19.30 (define @t1134 () (or @t1133 @t1127)) 18.76/19.30 (define @t1135 () (and @t1126 @t1134)) 18.76/19.30 (define @t1136 () (tptp.mem tptp.vertex @t1115 (tptp.t2tb (tptp.g_succ1 @t1125)))) 18.76/19.30 (define @t1137 () (not @t1136)) 18.76/19.30 (define @t1138 () (tptp.t2tb2 @t1125)) 18.76/19.30 (define @t1139 () (tptp.mem tptp.vertex @t1138 @t1123)) 18.76/19.30 (define @t1140 () (not @t1139)) 18.76/19.30 (define @t1141 () (@quantifiers_skolemize @t1107 12)) 18.76/19.30 (define @t1142 () (tptp.t2tb1 @t1141)) 18.76/19.30 (define @t1143 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1142 @t1130))) 18.76/19.30 (define @t1144 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1142 @t1120))) 18.76/19.30 (define @t1145 () (tptp.weight1 @t1119 @t1129)) 18.76/19.30 (define @t1146 () (+ @t1145 @t1144 (* -1 @t1143))) 18.76/19.30 (define @t1147 () (@quantifiers_skolemize @t1107 7)) 18.76/19.30 (define @t1148 () (= @t1147 @t1112)) 18.76/19.30 (define @t1149 () (not @t1148)) 18.76/19.30 (define @t1150 () (@quantifiers_skolemize @t1107 8)) 18.76/19.30 (define @t1151 () (not (= @t1150 @t1141))) 18.76/19.30 (define @t1152 () (tptp.mem tptp.vertex @t1130 @t1123)) 18.76/19.30 (define @t1153 () (not @t1152)) 18.76/19.30 (define @t1154 () (or @t1153 @t1151 @t1149)) 18.76/19.30 (define @t1155 () (tptp.mem tptp.vertex @t1130 @t1113)) 18.76/19.30 (define @t1156 () (not @t1155)) 18.76/19.30 (define @t1157 () (or @t1149 @t1151 (not (>= @t1146 0)) @t1156)) 18.76/19.30 (define @t1158 () (tptp.t2tb1 @t1150)) 18.76/19.30 (define @t1159 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t1120))) 18.76/19.30 (define @t1160 () (not (= @t1141 (tptp.tb2t1 (tptp.set1 tptp.int tptp.vertex @t1158 @t1130 (tptp.t2tb3 (+ @t1159 @t1145))))))) 18.76/19.30 (define @t1161 () (tptp.t2tb @t1147)) 18.76/19.30 (define @t1162 () (tptp.add tptp.vertex @t1130 @t1161)) 18.76/19.30 (define @t1163 () (tptp.tb2t @t1162)) 18.76/19.30 (define @t1164 () (= @t1112 @t1163)) 18.76/19.30 (define @t1165 () (not @t1164)) 18.76/19.30 (define @t1166 () (or (tptp.mem tptp.vertex @t1130 @t1161) @t1165 @t1160 @t1152)) 18.76/19.30 (define @t1167 () (or @t1156 @t1149 @t1160 (>= (+ @t1159 @t1145 (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t1130)))) 0))) 18.76/19.30 (define @t1168 () (and @t1167 @t1166 @t1157 @t1154)) 18.76/19.30 (define @t1169 () (@quantifiers_skolemize @t1107 0)) 18.76/19.30 (define @t1170 () (tptp.t2tb2 @t1169)) 18.76/19.30 (define @t1171 () (= @t22 @t1119)) 18.76/19.30 (define @t1172 () (forall @t400 (or (not (tptp.mem tptp.vertex @t55 @t1123)) @t399 (and @t1171 (or (not @t1171) (tptp.mem tptp.vertex @t396 @t1128))) (and (or (tptp.mem tptp.vertex @t396 @t1123) (tptp.mem tptp.vertex @t396 @t1161)) (>= (+ @t397 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t55)) (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t396)))) 0))))) 18.76/19.30 (define @t1173 () (not @t1172)) 18.76/19.30 (define @t1174 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t66))) 18.76/19.30 (define @t1175 () (not (tptp.mem tptp.vertex @t66 @t1161))) 18.76/19.30 (define @t1176 () (not (tptp.mem tptp.vertex @t66 @t1123))) 18.76/19.30 (define @t1177 () (tptp.t2tb1 (@quantifiers_skolemize @t1107 2))) 18.76/19.30 (define @t1178 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1177 @t1120))) 18.76/19.30 (define @t1179 () (* -1 @t1178)) 18.76/19.30 (define @t1180 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1177 @t55))) 18.76/19.30 (define @t1181 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1177 @t66))) 18.76/19.30 (define @t1182 () (not (tptp.mem tptp.vertex @t66 @t1118))) 18.76/19.30 (define @t1183 () (not (tptp.mem tptp.vertex @t66 @t1110))) 18.76/19.30 (define @t1184 () (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1177 @t220))) 18.76/19.30 (define @t1185 () (or (not (tptp.mem tptp.vertex @t1170 @t124)) (not (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1177 @t1170)) 0)) (not (forall @t144 (or @t1183 @t1182))) (not (forall @t449 (or (not (forall @t27 (or @t1111 (not (>= (+ @t1184 (* -1 @t1180)) 1))))) (not (tptp.mem tptp.vertex @t220 @t1110)) (not (tptp.path1 @t1169 @t444 @t447)) (>= (+ @t447 (* -1 @t1184)) 0) (tptp.mem tptp.vertex @t445 @t1118)))) (not (forall @t441 (or (not (tptp.mem tptp.vertex @t55 @t1118)) @t438 (and (or (tptp.mem tptp.vertex @t430 @t1118) (tptp.mem tptp.vertex @t430 @t1110)) (>= (+ @t432 @t1180 (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1177 @t430)))) 0))))) (not (forall @t144 (or @t1183 (tptp.path1 @t1169 @t59 @t1181)))) (not (forall @t144 (or @t1182 (tptp.shortest_path1 @t1169 @t59 @t1181)))) (not (tptp.subset tptp.vertex @t1110 @t124)) (not (tptp.subset tptp.vertex @t1118 @t124)) (not (tptp.inv_src1 @t1169 @t1117 @t1109)) (not (tptp.mem tptp.vertex (tptp.t2tb2 (@quantifiers_skolemize @t1107 4)) @t1110)) (not (tptp.mem tptp.vertex @t1120 @t1110)) (not (forall @t27 (or @t1111 (>= (+ @t1180 @t1179) 0)))) (not (tptp.path1 @t1169 @t1119 @t1178)) (not (forall @t169 (or (not (tptp.path1 @t1169 @t1119 @t163)) (>= (+ @t163 @t1179) 0)))) (not (tptp.subset tptp.vertex @t1123 @t124)) (not (forall @t27 (or (not (tptp.mem tptp.vertex @t55 @t1128)) (tptp.mem tptp.vertex @t55 (tptp.t2tb (tptp.g_succ1 @t1119)))))) (not (forall @t144 (or @t1175 @t1176))) (not (forall @t144 (or @t1176 (tptp.shortest_path1 @t1169 @t59 @t1174)))) (not (forall @t144 (or @t1175 (tptp.path1 @t1169 @t59 @t1174)))) @t1173 (not (tptp.subset tptp.vertex @t1161 @t124)) (not (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t1170)) 0)) (not (tptp.inv_src1 @t1169 @t1122 @t1147)) (not (tptp.mem tptp.vertex (tptp.t2tb2 (@quantifiers_skolemize @t1107 9)) @t1128)) (not (tptp.mem tptp.vertex @t1130 @t1128)) @t1168 (and (not (>= @t1146 1)) (not (= @t1145 (+ (* -1 @t1144) @t1143)))) @t1140 @t1137 @t1135 @t1124 @t1116 (= (not (forall @t27 @t1111)) @t1108) @t1108)) 18.76/19.30 (define @t1186 () (@list true)) 18.76/19.30 (define @t1187 () (@list @t1185)) 18.76/19.30 (define @t1188 () (not @t1149)) 18.76/19.30 (define @t1189 () (tptp.mem tptp.vertex @t1115 @t1161)) 18.76/19.30 (define @t1190 () (not @t1189)) 18.76/19.30 (define @t1191 () (not @t1116)) 18.76/19.30 (define @t1192 () (not @t1191)) 18.76/19.30 (define @t1193 () (and @t1148 @t1191)) 18.76/19.30 (define @t1194 () (= @t1130 @t1115)) 18.76/19.30 (define @t1195 () (or @t1189 @t1194)) 18.76/19.30 (define @t1196 () (or @t1124 @t1189)) 18.76/19.30 (define @t1197 () (and @t1196 (>= (+ (tptp.weight1 @t1125 @t1114) (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t1138)) (* -1 (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t1158 @t1115)))) 0))) 18.76/19.30 (define @t1198 () (tptp.mem tptp.vertex @t1115 @t1128)) 18.76/19.30 (define @t1199 () (= @t1125 @t1119)) 18.76/19.30 (define @t1200 () (not @t1199)) 18.76/19.30 (define @t1201 () (or @t1200 @t1198)) 18.76/19.30 (define @t1202 () (and @t1199 @t1201)) 18.76/19.30 (define @t1203 () (or @t1140 @t1137 @t1202 @t1197)) 18.76/19.30 (define @t1204 () (@list false)) 18.76/19.30 (define @t1205 () (or @t1127 @t1198)) 18.76/19.30 (define @t1206 () (and @t1126 @t1205)) 18.76/19.30 (define @t1207 () (or @t1140 @t1137 @t1206 @t1197)) 18.76/19.30 (define @t1208 () (not @t1206)) 18.76/19.30 (define @t1209 () (not @t1198)) 18.76/19.30 (define @t1210 () (not @t1194)) 18.76/19.30 (define @t1211 () (and @t1210 @t1198)) 18.76/19.30 (define @t1212 () (not @t17)) 18.76/19.30 (define @t1213 () (not @t19)) 18.76/19.30 (define @t1214 () (or @t1213 @t1212 @t336)) 18.76/19.30 (define @t1215 () (= @t1115 @t1130)) 18.76/19.30 (define @t1216 () (not @t1215)) 18.76/19.30 (define @t1217 () (and @t1216 @t1198)) 18.76/19.30 (define @t1218 () (tptp.mem tptp.vertex @t1115 @t1131)) 18.76/19.30 (define @t1219 () (tptp.sort1 tptp.vertex @t1130)) 18.76/19.30 (define @t1220 () (not @t1219)) 18.76/19.30 (define @t1221 () (tptp.sort1 tptp.vertex @t1115)) 18.76/19.30 (define @t1222 () (not @t1221)) 18.76/19.30 (define @t1223 () (or @t1222 @t1220 (= @t1217 @t1218))) 18.76/19.30 (define @t1224 () (forall @t338 @t1214)) 18.76/19.30 (define @t1225 () (= @t1218 @t1211)) 18.76/19.30 (define @t1226 () (or @t1222 @t1220 @t1225)) 18.76/19.30 (define @t1227 () (@list false false false)) 18.76/19.30 (define @t1228 () (= @t3 @t331)) 18.76/19.30 (define @t1229 () (= @t1131 @t1132)) 18.76/19.30 (define @t1230 () (tptp.sort1 @t297 @t1131)) 18.76/19.30 (define @t1231 () (not @t1230)) 18.76/19.30 (define @t1232 () (or @t1231 @t1229)) 18.76/19.30 (define @t1233 () (@list false false)) 18.76/19.30 (define @t1234 () (not @t1218)) 18.76/19.30 (define @t1235 () (not @t1229)) 18.76/19.30 (define @t1236 () (not @t1133)) 18.76/19.30 (define @t1237 () (and @t1236 @t1229)) 18.76/19.30 (define @t1238 () (not @t1195)) 18.76/19.30 (define @t1239 () (= @t1121 @t1123)) 18.76/19.30 (define @t1240 () (tptp.sort1 @t297 @t1121)) 18.76/19.30 (define @t1241 () (not @t1240)) 18.76/19.30 (define @t1242 () (or @t1241 @t1239)) 18.76/19.30 (define @t1243 () (not @t1239)) 18.76/19.30 (define @t1244 () (not @t1124)) 18.76/19.30 (define @t1245 () (= false true)) 18.76/19.30 (define @t1246 () (and @t1152 @t1194 @t1239 @t1244)) 18.76/19.30 (define @t1247 () (@var "BOUND_VARIABLE_8198" tptp.uni)) 18.76/19.30 (define @t1248 () (= (tptp.mem @t7 @t6 (tptp.add @t7 @t12 @t1247)) (or (tptp.mem @t7 @t6 @t1247) @t13))) 18.76/19.30 (define @t1249 () (or @t1213 @t1212 @t1248)) 18.76/19.30 (define @t1250 () (forall (@list @t7 @t6 @t12 @t1247) @t1249)) 18.76/19.30 (define @t1251 () (@list @t1247)) 18.76/19.30 (define @t1252 () (forall @t1251 @t1249)) 18.76/19.30 (define @t1253 () (forall @t1251 @t1248)) 18.76/19.30 (define @t1254 () (or @t1213 @t1212 @t1253)) 18.76/19.30 (define @t1255 () (or @t1213 @t1212 @t16)) 18.76/19.30 (define @t1256 () (or @t1189 @t1215)) 18.76/19.30 (define @t1257 () (tptp.mem tptp.vertex @t1115 @t1162)) 18.76/19.30 (define @t1258 () (= @t1257 @t1256)) 18.76/19.30 (define @t1259 () (or @t1222 @t1220 @t1258)) 18.76/19.30 (define @t1260 () (= @t1257 @t1195)) 18.76/19.30 (define @t1261 () (or @t1222 @t1220 @t1260)) 18.76/19.30 (define @t1262 () (= @t1162 (tptp.t2tb @t1163))) 18.76/19.30 (define @t1263 () (tptp.sort1 @t297 @t1162)) 18.76/19.30 (define @t1264 () (not @t1263)) 18.76/19.30 (define @t1265 () (or @t1264 @t1262)) 18.76/19.30 (define @t1266 () (not @t1257)) 18.76/19.30 (define @t1267 () (not @t1262)) 18.76/19.30 (define @t1268 () (and @t1257 @t1262 @t1164 @t1191)) 18.76/19.30 (define @t1269 () (@list true false false)) 18.76/19.30 (define @t1270 () (not @t1156)) 18.76/19.30 (define @t1271 () (and @t1155 @t1194 @t1191)) 18.76/19.30 (define @t1272 () (@list true false)) 18.76/19.30 (define @t1273 () (@list @t1148)) 18.76/19.30 (assume @p1 (forall (@list @t1) (or (= @t1 tptp.false1) (= @t1 tptp.true1)))) 18.76/19.30 (assume @p2 (forall (@list @t2) (= (tptp.tb2t (tptp.t2tb @t2)) @t2))) 18.76/19.30 (assume @p3 (forall @t4 (= (tptp.t2tb3 (tptp.tb2t3 @t3)) @t3))) 18.76/19.30 (assume @p4 (forall @t4 (=> (tptp.sort1 tptp.vertex @t3) (= (tptp.t2tb2 (tptp.tb2t2 @t3)) @t3)))) 18.76/19.30 (assume @p5 (forall @t11 (= (tptp.mem @t7 @t6 (tptp.union @t7 @t9 @t5)) (or @t10 @t8)))) 18.76/19.30 (assume @p6 @t21) 18.76/19.30 (assume @p7 (forall (@list @t23 @t26 @t25) (=> (tptp.path1 @t23 @t26 @t25) (or (exists (@list @t22 @t29 @t31 @t28) (and (tptp.mem tptp.vertex (tptp.t2tb2 @t31) @t32) (= @t25 (+ @t28 (tptp.weight1 @t29 @t31))) (= @t26 @t31) @t24 @t30)) (exists @t27 (and (= @t26 @t22) (= @t25 0) @t24)))))) 18.76/19.30 (assume @p8 @t264) 18.76/19.30 (assume @p9 (forall @t11 (= (and @t8 @t10) (tptp.mem @t7 @t6 (tptp.inter @t7 @t9 @t5))))) 18.76/19.30 (assume @p10 (forall (@list @t265) (= (tptp.tb2t2 (tptp.t2tb2 @t265)) @t265))) 18.76/19.30 (assume @p11 (forall @t266 (tptp.subset @t7 @t14 @t14))) 18.76/19.30 (assume @p12 (forall @t269 (tptp.sort1 @t268 @t267))) 18.76/19.30 (assume @p13 (forall (@list @t7 @t272 @t6 @t271 @t270) (tptp.sort1 @t273 (tptp.set1 @t272 @t7 @t6 @t271 @t270)))) 18.76/19.30 (assume @p14 (forall @t269 (tptp.is_empty @t7 @t267))) 18.76/19.30 (assume @p15 (forall @t274 (= (tptp.shortest_path1 @t22 @t29 @t28) (and (forall @t169 (=> (tptp.path1 @t22 @t29 @t163) (<= @t28 @t163))) @t30)))) 18.76/19.30 (assume @p16 (forall @t275 (tptp.sort1 @t268 (tptp.inter @t7 @t6 @t271)))) 18.76/19.30 (assume @p17 (forall (@list @t276) (tptp.sort1 (tptp.map tptp.vertex tptp.int) (tptp.t2tb1 @t276)))) 18.76/19.30 (assume @p18 (forall @t27 (tptp.sort1 tptp.vertex @t55))) 18.76/19.30 (assume @p19 (forall (@list @t7 @t272 @t277 @t278) (=> @t279 (= (tptp.get @t272 @t7 (tptp.const @t272 @t7 @t277) @t278) @t277)))) 18.76/19.30 (assume @p20 (forall @t282 (=> @t15 (= @t281 (+ 1 (tptp.cardinal1 @t7 @t280)))))) 18.76/19.30 (assume @p21 (forall @t274 (=> @t30 (<= 0 @t28)))) 18.76/19.30 (assume @p22 (forall @t285 (=> (tptp.sort1 @t7 @t283) (= (tptp.match_bool1 @t7 tptp.false1 @t284 @t283) @t283)))) 18.76/19.30 (assume @p23 (forall @t266 (and (=> @t286 (forall @t288 @t287)) (=> (forall @t288 (=> @t19 @t287)) @t286)))) 18.76/19.30 (assume @p24 (forall @t275 (tptp.sort1 @t268 (tptp.add @t7 @t6 @t271)))) 18.76/19.30 (assume @p25 (forall @t290 (=> @t289 (exists @t169 (and (tptp.shortest_path1 @t120 @t59 @t163) (<= @t163 @t28)))))) 18.76/19.30 (assume @p26 (forall @t293 (and (=> @t291 (forall @t288 @t292)) (=> (forall @t288 (=> @t19 @t292)) @t291)))) 18.76/19.30 (assume @p27 (forall @t285 (=> (tptp.sort1 @t7 @t284) (= (tptp.match_bool1 @t7 tptp.true1 @t284 @t283) @t284)))) 18.76/19.30 (assume @p28 (forall @t266 (= (= @t281 0) @t286))) 18.76/19.30 (assume @p29 (forall @t275 (tptp.sort1 @t268 (tptp.union @t7 @t6 @t271)))) 18.76/19.30 (assume @p30 (forall (@list @t294) (tptp.sort1 tptp.int (tptp.t2tb3 @t294)))) 18.76/19.30 (assume @p31 (forall @t27 (tptp.subset tptp.vertex @t51 @t124))) 18.76/19.30 (assume @p32 (forall (@list @t295) (= @t295 tptp.tuple03))) 18.76/19.30 (assume @p33 (forall (@list @t296) (tptp.sort1 @t297 (tptp.t2tb @t296)))) 18.76/19.30 (assume @p34 (forall @t27 (tptp.path1 @t22 @t22 0))) 18.76/19.30 (assume @p35 (not (= tptp.true1 tptp.false1))) 18.76/19.30 (assume @p36 (forall (@list @t7 @t298 @t271 @t270) (tptp.sort1 @t7 (tptp.match_bool1 @t7 @t298 @t271 @t270)))) 18.76/19.30 (assume @p37 (forall @t306 (= (tptp.inv1 @t120 @t302 @t243 @t245) (and @t305 (tptp.subset tptp.vertex @t303 @t124) (tptp.subset tptp.vertex @t300 @t124) (forall @t144 (=> @t301 (=> @t304 false))) (forall @t144 (=> @t304 (tptp.shortest_path1 @t120 @t59 @t299))) (forall @t144 (=> @t301 (tptp.path1 @t120 @t59 @t299))) (= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t246 @t122)) 0))))) 18.76/19.30 (assume @p38 (forall @t293 (and (=> @t307 (forall @t288 @t308)) (=> (forall @t288 (=> @t19 @t308)) @t307)))) 18.76/19.30 (assume @p39 (forall @t310 (tptp.sort1 @t309 (tptp.mk_ref @t7 @t6)))) 18.76/19.30 (assume @p40 (forall (@list @t311) (= (tptp.tb2t1 (tptp.t2tb1 @t311)) @t311))) 18.76/19.30 (assume @p41 (forall (@list @t22 @t29 @t23 @t28) (=> @t30 (=> (tptp.mem tptp.vertex (tptp.t2tb2 @t23) @t32) (tptp.path1 @t22 @t23 (+ @t28 (tptp.weight1 @t29 @t23))))))) 18.76/19.30 (assume @p42 (forall @t313 (=> (tptp.sort1 @t309 @t312) (= @t312 (tptp.mk_ref @t7 (tptp.contents @t7 @t312)))))) 18.76/19.30 (assume @p43 (forall @t293 (tptp.subset @t7 @t314 @t9))) 18.76/19.30 (assume @p44 (forall (@list @t294 @t316 @t315) (=> (<= @t294 @t316) (=> (<= 0 @t315) (<= (* @t294 @t315) (* @t316 @t315)))))) 18.76/19.30 (assume @p45 (forall @t310 (tptp.sort1 @t7 (tptp.choose @t7 @t6)))) 18.76/19.30 (assume @p46 (forall (@list @t7 @t9 @t5 @t317) (=> @t291 (=> (tptp.subset @t7 @t5 @t317) (tptp.subset @t7 @t9 @t317))))) 18.76/19.30 (assume @p47 (forall @t11 (= (tptp.mem @t7 @t6 @t314) (and @t10 (not @t8))))) 18.76/19.30 (assume @p48 (forall @t310 (tptp.sort1 @t7 (tptp.contents @t7 @t6)))) 18.76/19.30 (assume @p49 (forall @t266 (=> (not @t286) (tptp.mem @t7 @t318 @t14)))) 18.76/19.30 (assume @p50 (forall @t266 (<= 0 @t281))) 18.76/19.30 (assume @p51 (forall (@list @t7 @t272 @t6) (tptp.sort1 @t273 (tptp.const @t272 @t7 @t6)))) 18.76/19.30 (assume @p52 (forall (@list @t319) (= (tptp.tb2t3 (tptp.t2tb3 @t319)) @t319))) 18.76/19.30 (assume @p53 (forall @t293 (=> (tptp.sort1 @t268 @t9) (=> (tptp.sort1 @t268 @t5) (=> @t307 (= @t9 @t5)))))) 18.76/19.30 (assume @p54 (forall (@list @t7 @t272 @t321 @t278 @t320) (=> (tptp.sort1 @t7 @t278) (=> (tptp.sort1 @t7 @t320) (forall (@list @t277) (=> (not @t323) (= @t322 (tptp.get @t272 @t7 @t321 @t320)))))))) 18.76/19.30 (assume @p55 (forall (@list @t302) (=> (forall @t144 (=> @t304 (forall (@list @t326) (=> (tptp.mem tptp.vertex @t327 (tptp.t2tb (tptp.g_succ1 @t59))) (tptp.mem tptp.vertex @t327 @t303))))) (forall @t325 (=> @t324 (forall (@list @t257 @t28) (=> (tptp.path1 @t120 @t257 @t28) (tptp.mem tptp.vertex @t258 @t303)))))))) 18.76/19.30 (assume @p56 (forall (@list @t7 @t272 @t6 @t271) (tptp.sort1 @t272 (tptp.get @t272 @t7 @t6 @t271)))) 18.76/19.30 (assume @p57 (forall @t275 (tptp.sort1 @t268 (tptp.diff @t7 @t6 @t271)))) 18.76/19.30 (assume @p58 (forall @t282 (=> (tptp.sort1 @t268 @t14) (=> @t15 (= (tptp.add @t7 @t6 @t280) @t14))))) 18.76/19.30 (assume @p59 (forall @t306 (= (forall @t27 (=> @t330 (forall @t53 (=> @t52 @t329)))) (tptp.inv_succ1 @t120 @t302 @t243 @t245)))) 18.76/19.30 (assume @p60 (forall (@list @t7 @t272 @t321 @t278 @t320 @t277) (=> @t279 (=> @t323 (= @t322 @t277))))) 18.76/19.30 (assume @p61 @t334) 18.76/19.30 (assume @p62 (forall @t293 (=> @t291 (<= (tptp.cardinal1 @t7 @t9) (tptp.cardinal1 @t7 @t5))))) 18.76/19.30 (assume @p63 (forall @t275 (tptp.sort1 @t268 (tptp.remove @t7 @t6 @t271)))) 18.76/19.30 (assume @p64 (forall @t282 (=> @t287 (= (tptp.cardinal1 @t7 @t335) (+ 1 @t281))))) 18.76/19.30 (assume @p65 (forall @t266 (=> (= @t281 1) (forall @t288 (=> @t19 (=> @t15 (= @t6 @t318))))))) 18.76/19.30 (assume @p66 (forall (@list @t120 @t302 @t243) (= (or @t324 (tptp.mem tptp.vertex @t122 @t300)) @t305))) 18.76/19.30 (assume @p67 (forall @t269 (tptp.sort1 @t7 (tptp.witness1 @t7)))) 18.76/19.30 (assume @p68 (forall (@list @t219 @t243 @t245) (= (tptp.min1 @t219 @t243 @t245) (and (tptp.mem tptp.vertex @t220 @t300) (forall @t27 (=> (tptp.mem tptp.vertex @t55 @t300) (<= (tptp.tb2t3 (tptp.get tptp.int tptp.vertex @t246 @t220)) @t328))))))) 18.76/19.31 (assume @p69 @t339) 18.76/19.31 (assume @p70 (forall @t282 (= (tptp.remove @t7 @t6 @t335) @t280))) 18.76/19.31 (assume @p71 (forall @t290 (=> @t289 (=> (not (tptp.shortest_path1 @t120 @t59 @t28)) (or (exists (@list @t341 @t163) (and (< (+ @t163 @t343) @t28) @t342 (tptp.shortest_path1 @t120 @t341 @t163))) (and @t340 (< 0 @t28))))))) 18.76/19.31 (assume @p72 (forall @t290 (=> @t289 (or (and @t340 (= @t28 0)) (exists (@list @t341) (and (tptp.path1 @t120 @t341 (- @t28 @t343)) @t342)))))) 18.76/19.31 (assume @p73 (forall @t310 (= false (tptp.mem @t7 @t6 @t267)))) 18.76/19.31 (assume @p74 (forall (@list @t120 @t302 @t243 @t245 @t41 @t100) (= (forall @t27 (=> @t330 (forall @t53 (=> @t52 (=> (or @t48 (and @t135 @t42)) @t329))))) (tptp.inv_succ21 @t120 @t302 @t243 @t245 @t41 @t100)))) 18.76/19.31 (assume @p75 (forall @t4 (= (tptp.t2tb1 (tptp.tb2t1 @t3)) @t3))) 18.76/19.31 (assume @p76 (forall @t313 (=> (tptp.sort1 @t7 @t312) (= (tptp.contents @t7 (tptp.mk_ref @t7 @t312)) @t312)))) 18.76/19.31 (assume @p77 (forall @t282 (tptp.subset @t7 @t280 @t14))) 18.76/19.31 (assume @p78 (forall (@list @t22 @t29) (<= 0 @t127))) 18.76/19.31 (assume @p79 true) 18.76/19.31 (step @p80 :rule refl :args (@t345)) 18.76/19.31 (step @p81 :rule refl :args (@t349)) 18.76/19.31 (step @p82 :rule refl :args (@t354)) 18.76/19.31 (step @p83 :rule refl :args (@t361)) 18.76/19.31 (step @p84 :rule refl :args (@t368)) 18.76/19.31 (step @p85 :rule refl :args (@t369)) 18.76/19.31 (step @p86 :rule refl :args (@t370)) 18.76/19.31 (step @p87 :rule refl :args (@t377)) 18.76/19.31 (step @p88 :rule refl :args (@t388)) 18.76/19.31 (step @p89 :rule refl :args (@t389)) 18.76/19.31 (step @p90 :rule refl :args (@t391)) 18.76/19.31 (step @p91 :rule refl :args (@t392)) 18.76/19.31 (step @p92 :rule refl :args (@t393)) 18.76/19.31 (step @p93 :rule refl :args (@t394)) 18.76/19.31 (step @p94 :rule refl :args (@t401)) 18.76/19.31 (step @p95 :rule refl :args (@t404)) 18.76/19.31 (step @p96 :rule refl :args (@t406)) 18.76/19.31 (step @p97 :rule refl :args (@t407)) 18.76/19.31 (step @p98 :rule refl :args (@t408)) 18.76/19.31 (step @p99 :rule refl :args (@t409)) 18.76/19.31 (step @p100 :rule refl :args (@t414)) 18.76/19.31 (step @p101 :rule refl :args (@t415)) 18.76/19.31 (step @p102 :rule refl :args (@t417)) 18.76/19.31 (step @p103 :rule refl :args (@t418)) 18.76/19.31 (step @p104 :rule refl :args (@t420)) 18.76/19.31 (step @p105 :rule refl :args (@t421)) 18.76/19.31 (step @p106 :rule refl :args (@t422)) 18.76/19.31 (step @p107 :rule refl :args (@t423)) 18.76/19.31 (step @p108 :rule refl :args (@t426)) 18.76/19.31 (step @p109 :rule refl :args (@t428)) 18.76/19.31 (step @p110 :rule refl :args (0)) 18.76/19.31 (step @p111 :rule arith_poly_norm :args ((= @t434 @t433))) 18.76/19.31 (step @p112 :rule cong :premises (@p111 @p110) :args (@t435)) 18.76/19.31 (step @p113 :rule refl :args (@t436)) 18.76/19.31 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t437)) 18.76/19.31 (step @p115 :rule refl :args (@t438)) 18.76/19.31 (step @p116 :rule refl :args (@t439)) 18.76/19.31 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args (@t440)) 18.76/19.31 (step @p118 :rule cong :premises (@p117) :args (@t442)) 18.76/19.31 (step @p119 :rule cong :premises (@p118) :args (@t443)) 18.76/19.31 (step @p120 :rule refl :args (@t450)) 18.76/19.31 (step @p121 :rule refl :args (@t451)) 18.76/19.31 (step @p122 :rule refl :args (@t452)) 18.76/19.31 (step @p123 :rule refl :args (@t453)) 18.76/19.31 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120 @p119 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80) :args (@t454)) 18.76/19.31 (step @p125 :rule aci_norm :args ((= @t456 @t454))) 18.76/19.31 (step @p126 :rule trans :premises (@p125 @p124)) 18.76/19.31 (step @p127 :rule cong :premises (@p126) :args (@t458)) 18.76/19.31 (step @p128 :rule quant-merge-prenex :args ((= (forall @t325 @t460) @t458))) 18.76/19.31 (step @p129 :rule alpha_equiv :args (@t461 (@list @t346 @t410 @t355 @t419 @t357 @t364 @t378 @t380 @t390 @t366 @t350 @t371 @t362 @t352 @t344) (@list @t174 @t164 @t156 @t473 @t472 @t471 @t470 @t469 @t468 @t467 @t466 @t465 @t464 @t463 @t462))) 18.76/19.31 (step @p130 :rule refl :args (@t453)) 18.76/19.31 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t474)) 18.76/19.31 (step @p132 :rule quant-miniscope-or :args ((= @t460 @t474))) 18.76/19.31 (step @p133 :rule trans :premises (@p132 @p131)) 18.76/19.31 (step @p134 :rule symm :premises (@p133)) 18.76/19.31 (step @p135 :rule cong :premises (@p134) :args (@t560)) 18.76/19.31 (step @p136 :rule trans :premises (@p135 @p128)) 18.76/19.31 (step @p137 :rule trans :premises (@p136 @p127)) 18.76/19.31 (step @p138 :rule refl :args (@t562)) 18.76/19.31 (step @p139 :rule refl :args (@t564)) 18.76/19.31 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t565)) 18.76/19.31 (step @p141 :rule quant-miniscope-or :args ((= (forall @t567 @t566) @t565))) 18.76/19.31 (step @p142 :rule aci_norm :args ((= @t568 @t566))) 18.76/19.31 (step @p143 :rule cong :premises (@p142) :args (@t569)) 18.76/19.31 (step @p144 :rule quant_var_reordering :args ((= @t570 @t569))) 18.76/19.31 (step @p145 :rule quant-unused-vars :args ((= (forall @t262 @t568) @t570))) 18.76/19.31 (step @p146 :rule trans :premises (@p145 @p144 @p143 @p141)) 18.76/19.31 (step @p147 :rule trans :premises (@p146 @p140)) 18.76/19.31 (step @p148 :rule aci_norm :args ((= (or (or @t561 @t453) @t571) @t568))) 18.76/19.31 (step @p149 :rule refl :args (@t571)) 18.76/19.31 (step @p150 :rule bool-and-de-morgan :args (@t259 @t256 true)) 18.76/19.31 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t260) @t571))) 18.76/19.31 (step @p152 :rule trans :premises (@p151 @p148)) 18.76/19.31 (step @p153 :rule bool-impl-elim :args (@t260 @t571)) 18.76/19.31 (step @p154 :rule trans :premises (@p153 @p152)) 18.76/19.31 (step @p155 :rule cong :premises (@p154) :args ((forall @t262 (=> @t260 @t571)))) 18.76/19.31 (step @p156 :rule trans :premises (@p155 @p147)) 18.76/19.31 (step @p157 :rule aci_norm :args ((= (or @t558 @t564 false false) @t571))) 18.76/19.31 (step @p158 :rule evaluate :args ((not true))) 18.76/19.31 (step @p159 :rule eq-refl :args (@t242)) 18.76/19.31 (step @p160 :rule cong :premises (@p159) :args (@t572)) 18.76/19.31 (step @p161 :rule trans :premises (@p160 @p158)) 18.76/19.31 (step @p162 :rule quant-var-elim-eq :args ((= (forall @t575 @t574) @t572))) 18.76/19.31 (step @p163 :rule aci_norm :args ((= @t573 @t574))) 18.76/19.31 (step @p164 :rule cong :premises (@p163) :args (@t576)) 18.76/19.31 (step @p165 :rule trans :premises (@p164 @p162)) 18.76/19.31 (step @p166 :rule trans :premises (@p165 @p161)) 18.76/19.31 (step @p167 :rule eq-refl :args (@t247)) 18.76/19.31 (step @p168 :rule cong :premises (@p167) :args (@t577)) 18.76/19.31 (step @p169 :rule trans :premises (@p168 @p158)) 18.76/19.31 (step @p170 :rule quant-var-elim-eq :args ((= (forall @t580 @t579) @t577))) 18.76/19.31 (step @p171 :rule aci_norm :args ((= @t578 @t579))) 18.76/19.31 (step @p172 :rule cong :premises (@p171) :args (@t581)) 18.76/19.31 (step @p173 :rule trans :premises (@p172 @p170)) 18.76/19.31 (step @p174 :rule trans :premises (@p173 @p169)) 18.76/19.31 (step @p175 :rule refl :args (@t558)) 18.76/19.31 (step @p176 :rule nary_cong :premises (@p175 @p139 @p174 @p166) :args (@t582)) 18.76/19.31 (step @p177 :rule trans :premises (@p176 @p157)) 18.76/19.31 (step @p178 :rule quant-miniscope-or :args ((= (forall @t584 @t583) @t582))) 18.76/19.31 (step @p179 :rule aci_norm :args ((= @t585 @t583))) 18.76/19.31 (step @p180 :rule cong :premises (@p179) :args (@t586)) 18.76/19.31 (step @p181 :rule quant_var_reordering :args ((= (forall @t254 @t585) @t586))) 18.76/19.31 (step @p182 :rule trans :premises (@p181 @p180 @p178)) 18.76/19.31 (step @p183 :rule trans :premises (@p182 @p177)) 18.76/19.31 (step @p184 :rule aci_norm :args ((= (or @t587 @t558) @t585))) 18.76/19.31 (step @p185 :rule refl :args (@t558)) 18.76/19.31 (step @p186 :rule aci_norm :args ((= (or @t563 (or @t578 @t573)) @t587))) 18.76/19.31 (step @p187 :rule bool-and-de-morgan :args (@t249 @t244 true)) 18.76/19.31 (step @p188 :rule refl :args (@t563)) 18.76/19.31 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t563 (not (and @t249 @t244))))) 18.76/19.31 (step @p190 :rule bool-and-de-morgan :args (@t251 @t249 (and @t244))) 18.76/19.31 (step @p191 :rule trans :premises (@p190 @p189)) 18.76/19.31 (step @p192 :rule trans :premises (@p191 @p186)) 18.76/19.31 (step @p193 :rule nary_cong :premises (@p192 @p185) :args ((or (not @t252) @t558))) 18.76/19.31 (step @p194 :rule trans :premises (@p193 @p184)) 18.76/19.31 (step @p195 :rule bool-impl-elim :args (@t252 @t558)) 18.76/19.31 (step @p196 :rule trans :premises (@p195 @p194)) 18.76/19.31 (step @p197 :rule cong :premises (@p196) :args ((forall @t254 (=> @t252 @t558)))) 18.76/19.31 (step @p198 :rule trans :premises (@p197 @p183)) 18.76/19.31 (step @p199 :rule aci_norm :args ((= @t590 @t556))) 18.76/19.31 (step @p200 :rule cong :premises (@p199) :args (@t591)) 18.76/19.31 (step @p201 :rule quant-merge-prenex :args ((= (forall @t240 @t592) @t591))) 18.76/19.31 (step @p202 :rule alpha_equiv :args (@t593 (@list @t462) (@list @t192))) 18.76/19.31 (step @p203 :rule alpha_equiv :args (@t594 (@list @t472 @t471 @t470 @t469 @t468 @t467 @t466 @t465 @t464 @t463) (@list @t41 @t603 @t602 @t601 @t600 @t599 @t598 @t597 @t596 @t595))) 18.76/19.31 (step @p204 :rule alpha_equiv :args (@t604 (@list @t473) @t605)) 18.76/19.31 (step @p205 :rule refl :args (@t527)) 18.76/19.31 (step @p206 :rule refl :args (@t528)) 18.76/19.31 (step @p207 :rule refl :args (@t529)) 18.76/19.31 (step @p208 :rule refl :args (@t532)) 18.76/19.31 (step @p209 :rule refl :args (@t535)) 18.76/19.31 (step @p210 :rule refl :args (@t540)) 18.76/19.31 (step @p211 :rule refl :args (@t552)) 18.76/19.31 (step @p212 :rule refl :args (@t554)) 18.76/19.31 (step @p213 :rule refl :args (@t555)) 18.76/19.31 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202) :args (@t606)) 18.76/19.31 (step @p215 :rule quant-miniscope-or :args ((= @t592 @t606))) 18.76/19.31 (step @p216 :rule trans :premises (@p215 @p214)) 18.76/19.31 (step @p217 :rule symm :premises (@p216)) 18.76/19.31 (step @p218 :rule cong :premises (@p217) :args ((forall @t240 @t667))) 18.76/19.31 (step @p219 :rule trans :premises (@p218 @p201)) 18.76/19.31 (step @p220 :rule trans :premises (@p219 @p200)) 18.76/19.31 (step @p221 :rule aci_norm :args ((= (or @t669 @t668) @t667))) 18.76/19.31 (step @p222 :rule refl :args (@t668)) 18.76/19.31 (step @p223 :rule aci_norm :args ((= (or @t555 (or @t554 (or @t552 (or @t540 (or @t535 (or @t532 (or @t529 (or @t528 @t527)))))))) @t669))) 18.76/19.31 (step @p224 :rule bool-and-de-morgan :args (@t201 @t200 true)) 18.76/19.31 (step @p225 :rule nary_cong :premises (@p207 @p224) :args ((or @t529 (not (and @t201 @t200))))) 18.76/19.31 (step @p226 :rule bool-and-de-morgan :args (@t202 @t201 (and @t200))) 18.76/19.31 (step @p227 :rule trans :premises (@p226 @p225)) 18.76/19.31 (step @p228 :rule nary_cong :premises (@p208 @p227) :args ((or @t532 (not (and @t202 @t201 @t200))))) 18.76/19.31 (step @p229 :rule bool-and-de-morgan :args (@t531 @t202 (and @t201 @t200))) 18.76/19.31 (step @p230 :rule trans :premises (@p229 @p228)) 18.76/19.31 (step @p231 :rule nary_cong :premises (@p209 @p230) :args ((or @t535 (not (and @t531 @t202 @t201 @t200))))) 18.76/19.31 (step @p232 :rule bool-and-de-morgan :args (@t534 @t531 (and @t202 @t201 @t200))) 18.76/19.31 (step @p233 :rule trans :premises (@p232 @p231)) 18.76/19.31 (step @p234 :rule nary_cong :premises (@p210 @p233) :args ((or @t540 (not (and @t534 @t531 @t202 @t201 @t200))))) 18.76/19.31 (step @p235 :rule bool-and-de-morgan :args (@t539 @t534 (and @t531 @t202 @t201 @t200))) 18.76/19.31 (step @p236 :rule trans :premises (@p235 @p234)) 18.76/19.31 (step @p237 :rule nary_cong :premises (@p211 @p236) :args ((or @t552 (not (and @t539 @t534 @t531 @t202 @t201 @t200))))) 18.76/19.31 (step @p238 :rule bool-and-de-morgan :args (@t551 @t539 (and @t534 @t531 @t202 @t201 @t200))) 18.76/19.31 (step @p239 :rule trans :premises (@p238 @p237)) 18.76/19.31 (step @p240 :rule nary_cong :premises (@p212 @p239) :args ((or @t554 (not (and @t551 @t539 @t534 @t531 @t202 @t201 @t200))))) 18.76/19.31 (step @p241 :rule bool-and-de-morgan :args (@t553 @t551 (and @t539 @t534 @t531 @t202 @t201 @t200))) 18.76/19.31 (step @p242 :rule trans :premises (@p241 @p240)) 18.76/19.31 (step @p243 :rule nary_cong :premises (@p213 @p242) :args ((or @t555 (not (and @t553 @t551 @t539 @t534 @t531 @t202 @t201 @t200))))) 18.76/19.31 (step @p244 :rule bool-and-de-morgan :args (@t237 @t553 (and @t551 @t539 @t534 @t531 @t202 @t201 @t200))) 18.76/19.31 (step @p245 :rule trans :premises (@p244 @p243)) 18.76/19.31 (step @p246 :rule trans :premises (@p245 @p223)) 18.76/19.31 (step @p247 :rule nary_cong :premises (@p246 @p222) :args ((or (not @t670) @t668))) 18.76/19.31 (step @p248 :rule trans :premises (@p247 @p221)) 18.76/19.31 (step @p249 :rule bool-impl-elim :args (@t670 @t668)) 18.76/19.31 (step @p250 :rule trans :premises (@p249 @p248)) 18.76/19.31 (step @p251 :rule cong :premises (@p250) :args ((forall @t240 (=> @t670 @t668)))) 18.76/19.31 (step @p252 :rule trans :premises (@p251 @p220)) 18.76/19.31 (step @p253 :rule quant-miniscope-or :args ((= (forall @t198 @t671) @t668))) 18.76/19.31 (step @p254 :rule aci_norm :args ((= @t672 @t671))) 18.76/19.31 (step @p255 :rule cong :premises (@p254) :args ((forall @t198 @t672))) 18.76/19.31 (step @p256 :rule trans :premises (@p255 @p253)) 18.76/19.31 (step @p257 :rule aci_norm :args ((= (or @t608 @t673) @t672))) 18.76/19.31 (step @p258 :rule aci_norm :args ((= (or @t607 (or @t189 @t666)) @t673))) 18.76/19.31 (step @p259 :rule refl :args (@t666)) 18.76/19.31 (step @p260 :rule bool-double-not-elim :args (@t189)) 18.76/19.31 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or (not @t190) @t666))) 18.76/19.31 (step @p262 :rule bool-impl-elim :args (@t190 @t666)) 18.76/19.31 (step @p263 :rule trans :premises (@p262 @p261)) 18.76/19.31 (step @p264 :rule refl :args (@t607)) 18.76/19.31 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or @t607 @t674))) 18.76/19.31 (step @p266 :rule trans :premises (@p265 @p258)) 18.76/19.31 (step @p267 :rule refl :args (@t674)) 18.76/19.31 (step @p268 :rule bool-double-not-elim :args (@t607)) 18.76/19.31 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or (not @t675) @t674))) 18.76/19.31 (step @p270 :rule bool-impl-elim :args (@t675 @t674)) 18.76/19.31 (step @p271 :rule trans :premises (@p270 @p269)) 18.76/19.31 (step @p272 :rule trans :premises (@p271 @p266)) 18.76/19.31 (step @p273 :rule bool-not-eq-elim1 :args (@t189 @t607)) 18.76/19.31 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or (not @t677) @t676))) 18.76/19.31 (step @p275 :rule trans :premises (@p274 @p257)) 18.76/19.31 (step @p276 :rule bool-impl-elim :args (@t677 @t676)) 18.76/19.31 (step @p277 :rule trans :premises (@p276 @p275)) 18.76/19.31 (step @p278 :rule cong :premises (@p277) :args ((forall @t198 (=> @t677 @t676)))) 18.76/19.31 (step @p279 :rule trans :premises (@p278 @p256)) 18.76/19.31 (step @p280 :rule aci_norm :args ((= (or @t663 @t662 false @t658 @t657 @t652 @t651 @t650 @t649 @t647 @t644 @t641 @t640 @t639 @t638 @t637 @t636 @t627 @t621 @t620 @t619 @t615 @t613) @t664))) 18.76/19.31 (step @p281 :rule refl :args (@t613)) 18.76/19.31 (step @p282 :rule refl :args (@t615)) 18.76/19.31 (step @p283 :rule refl :args (@t619)) 18.76/19.31 (step @p284 :rule refl :args (@t620)) 18.76/19.31 (step @p285 :rule refl :args (@t621)) 18.76/19.31 (step @p286 :rule refl :args (@t627)) 18.76/19.31 (step @p287 :rule refl :args (@t636)) 18.76/19.31 (step @p288 :rule refl :args (@t637)) 18.76/19.31 (step @p289 :rule refl :args (@t638)) 18.76/19.31 (step @p290 :rule refl :args (@t639)) 18.76/19.31 (step @p291 :rule refl :args (@t640)) 18.76/19.31 (step @p292 :rule refl :args (@t641)) 18.76/19.31 (step @p293 :rule refl :args (@t644)) 18.76/19.31 (step @p294 :rule refl :args (@t647)) 18.76/19.31 (step @p295 :rule refl :args (@t649)) 18.76/19.31 (step @p296 :rule refl :args (@t650)) 18.76/19.31 (step @p297 :rule refl :args (@t651)) 18.76/19.31 (step @p298 :rule refl :args (@t652)) 18.76/19.31 (step @p299 :rule refl :args (@t657)) 18.76/19.31 (step @p300 :rule refl :args (@t658)) 18.76/19.31 (step @p301 :rule eq-refl :args (@t176)) 18.76/19.31 (step @p302 :rule cong :premises (@p301) :args (@t678)) 18.76/19.31 (step @p303 :rule trans :premises (@p302 @p158)) 18.76/19.31 (step @p304 :rule refl :args (@t662)) 18.76/19.31 (step @p305 :rule refl :args (@t663)) 18.76/19.31 (step @p306 :rule nary_cong :premises (@p305 @p304 @p303 @p300 @p299 @p298 @p297 @p296 @p295 @p294 @p293 @p292 @p291 @p290 @p289 @p288 @p287 @p286 @p285 @p284 @p283 @p282 @p281) :args (@t679)) 18.76/19.31 (step @p307 :rule trans :premises (@p306 @p280)) 18.76/19.31 (step @p308 :rule cong :premises (@p307) :args ((forall @t665 @t679))) 18.76/19.31 (step @p309 :rule quant-var-elim-eq :args ((= (forall @t682 @t681) @t679))) 18.76/19.31 (step @p310 :rule aci_norm :args ((= @t683 @t681))) 18.76/19.31 (step @p311 :rule cong :premises (@p310) :args (@t684)) 18.76/19.31 (step @p312 :rule trans :premises (@p311 @p309)) 18.76/19.31 (step @p313 :rule cong :premises (@p312) :args (@t685)) 18.76/19.31 (step @p314 :rule quant-merge-prenex :args ((= @t685 @t686))) 18.76/19.31 (step @p315 :rule symm :premises (@p314)) 18.76/19.31 (step @p316 :rule quant_var_reordering :args ((= (forall @t687 @t683) @t686))) 18.76/19.31 (step @p317 :rule trans :premises (@p316 @p315 @p313)) 18.76/19.31 (step @p318 :rule trans :premises (@p317 @p308)) 18.76/19.31 (step @p319 :rule aci_norm :args ((= @t689 @t683))) 18.76/19.31 (step @p320 :rule cong :premises (@p319) :args (@t690)) 18.76/19.31 (step @p321 :rule trans :premises (@p320 @p318)) 18.76/19.31 (step @p322 :rule quant-merge-prenex :args ((= (forall @t186 @t692) @t690))) 18.76/19.31 (step @p323 :rule alpha_equiv :args (@t693 (@list @t603 @t602 @t601 @t600 @t599 @t598 @t597 @t596 @t595) @t703)) 18.76/19.31 (step @p324 :rule refl :args (@t652)) 18.76/19.31 (step @p325 :rule refl :args (@t657)) 18.76/19.31 (step @p326 :rule refl :args (@t658)) 18.76/19.31 (step @p327 :rule refl :args (@t680)) 18.76/19.31 (step @p328 :rule refl :args (@t662)) 18.76/19.31 (step @p329 :rule refl :args (@t663)) 18.76/19.31 (step @p330 :rule nary_cong :premises (@p329 @p328 @p327 @p326 @p325 @p324 @p323) :args (@t704)) 18.76/19.31 (step @p331 :rule quant-miniscope-or :args ((= @t692 @t704))) 18.76/19.31 (step @p332 :rule trans :premises (@p331 @p330)) 18.76/19.31 (step @p333 :rule symm :premises (@p332)) 18.76/19.31 (step @p334 :rule cong :premises (@p333) :args ((forall @t186 @t757))) 18.76/19.31 (step @p335 :rule trans :premises (@p334 @p322)) 18.76/19.31 (step @p336 :rule trans :premises (@p335 @p321)) 18.76/19.31 (step @p337 :rule aci_norm :args ((= (or @t759 @t758) @t757))) 18.76/19.31 (step @p338 :rule aci_norm :args ((= (or (or @t658 @t657) @t760) @t758))) 18.76/19.31 (step @p339 :rule refl :args (@t760)) 18.76/19.31 (step @p340 :rule bool-and-de-morgan :args (@t171 @t656 true)) 18.76/19.31 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or (not @t761) @t760))) 18.76/19.31 (step @p342 :rule trans :premises (@p341 @p338)) 18.76/19.31 (step @p343 :rule bool-impl-elim :args (@t761 @t760)) 18.76/19.31 (step @p344 :rule trans :premises (@p343 @p342)) 18.76/19.31 (step @p345 :rule aci_norm :args ((= (or @t663 (or @t662 @t680)) @t759))) 18.76/19.31 (step @p346 :rule bool-and-de-morgan :args (@t661 @t178 true)) 18.76/19.31 (step @p347 :rule nary_cong :premises (@p329 @p346) :args ((or @t663 (not (and @t661 @t178))))) 18.76/19.31 (step @p348 :rule bool-and-de-morgan :args (@t183 @t661 (and @t178))) 18.76/19.31 (step @p349 :rule trans :premises (@p348 @p347)) 18.76/19.31 (step @p350 :rule trans :premises (@p349 @p345)) 18.76/19.31 (step @p351 :rule nary_cong :premises (@p350 @p344) :args ((or (not @t763) @t762))) 18.76/19.31 (step @p352 :rule trans :premises (@p351 @p337)) 18.76/19.31 (step @p353 :rule bool-impl-elim :args (@t763 @t762)) 18.76/19.31 (step @p354 :rule trans :premises (@p353 @p352)) 18.76/19.31 (step @p355 :rule cong :premises (@p354) :args ((forall @t186 (=> @t763 @t762)))) 18.76/19.31 (step @p356 :rule trans :premises (@p355 @p336)) 18.76/19.31 (step @p357 :rule quant-miniscope-or :args ((= (forall @t755 @t764) @t760))) 18.76/19.31 (step @p358 :rule aci_norm :args ((= @t765 @t764))) 18.76/19.31 (step @p359 :rule cong :premises (@p358) :args ((forall @t755 @t765))) 18.76/19.31 (step @p360 :rule trans :premises (@p359 @p357)) 18.76/19.31 (step @p361 :rule aci_norm :args ((= (or false @t652 @t753 @t752 @t751 @t749 @t746 @t739 @t738 @t737 @t736 @t735 @t734 @t721 @t715 @t713 @t712 @t708 @t707) @t765))) 18.76/19.31 (step @p362 :rule refl :args (@t707)) 18.76/19.31 (step @p363 :rule refl :args (@t708)) 18.76/19.31 (step @p364 :rule refl :args (@t712)) 18.76/19.31 (step @p365 :rule refl :args (@t713)) 18.76/19.31 (step @p366 :rule refl :args (@t715)) 18.76/19.31 (step @p367 :rule refl :args (@t721)) 18.76/19.31 (step @p368 :rule refl :args (@t734)) 18.76/19.31 (step @p369 :rule refl :args (@t735)) 18.76/19.31 (step @p370 :rule refl :args (@t736)) 18.76/19.31 (step @p371 :rule refl :args (@t737)) 18.76/19.31 (step @p372 :rule refl :args (@t738)) 18.76/19.31 (step @p373 :rule refl :args (@t739)) 18.76/19.31 (step @p374 :rule refl :args (@t746)) 18.76/19.31 (step @p375 :rule refl :args (@t749)) 18.76/19.31 (step @p376 :rule refl :args (@t751)) 18.76/19.31 (step @p377 :rule refl :args (@t752)) 18.76/19.31 (step @p378 :rule refl :args (@t753)) 18.76/19.31 (step @p379 :rule eq-refl :args (@t158)) 18.76/19.31 (step @p380 :rule cong :premises (@p379) :args (@t766)) 18.76/19.31 (step @p381 :rule trans :premises (@p380 @p158)) 18.76/19.31 (step @p382 :rule nary_cong :premises (@p381 @p298 @p378 @p377 @p376 @p375 @p374 @p373 @p372 @p371 @p370 @p369 @p368 @p367 @p366 @p365 @p364 @p363 @p362) :args (@t767)) 18.76/19.31 (step @p383 :rule trans :premises (@p382 @p361)) 18.76/19.31 (step @p384 :rule cong :premises (@p383) :args ((forall @t755 @t767))) 18.76/19.31 (step @p385 :rule trans :premises (@p384 @p360)) 18.76/19.31 (step @p386 :rule quant-var-elim-eq :args ((= (forall @t161 @t781) @t767))) 18.76/19.31 (step @p387 :rule aci_norm :args ((= @t782 @t781))) 18.76/19.31 (step @p388 :rule cong :premises (@p387) :args (@t783)) 18.76/19.31 (step @p389 :rule trans :premises (@p388 @p386)) 18.76/19.31 (step @p390 :rule cong :premises (@p389) :args (@t784)) 18.76/19.31 (step @p391 :rule quant-merge-prenex :args ((= @t784 @t785))) 18.76/19.31 (step @p392 :rule symm :premises (@p391)) 18.76/19.31 (step @p393 :rule quant_var_reordering :args ((= (forall @t786 @t782) @t785))) 18.76/19.31 (step @p394 :rule trans :premises (@p393 @p392 @p390)) 18.76/19.31 (step @p395 :rule trans :premises (@p394 @p385)) 18.76/19.31 (step @p396 :rule refl :args (@t768)) 18.76/19.31 (step @p397 :rule refl :args (@t769)) 18.76/19.31 (step @p398 :rule refl :args (@t771)) 18.76/19.31 (step @p399 :rule refl :args (@t772)) 18.76/19.31 (step @p400 :rule arith_poly_norm :args ((= @t787 @t742))) 18.76/19.31 (step @p401 :rule cong :premises (@p400 @p110) :args (@t788)) 18.76/19.31 (step @p402 :rule refl :args (@t774)) 18.76/19.31 (step @p403 :rule nary_cong :premises (@p402 @p401) :args (@t789)) 18.76/19.31 (step @p404 :rule refl :args (@t745)) 18.76/19.31 (step @p405 :rule refl :args (@t399)) 18.76/19.31 (step @p406 :rule refl :args (@t775)) 18.76/19.31 (step @p407 :rule nary_cong :premises (@p406 @p405 @p404 @p403) :args (@t790)) 18.76/19.31 (step @p408 :rule cong :premises (@p407) :args (@t791)) 18.76/19.31 (step @p409 :rule cong :premises (@p408) :args (@t792)) 18.76/19.31 (step @p410 :rule refl :args (@t777)) 18.76/19.31 (step @p411 :rule refl :args (@t778)) 18.76/19.31 (step @p412 :rule refl :args (@t779)) 18.76/19.31 (step @p413 :rule refl :args (@t780)) 18.76/19.31 (step @p414 :rule nary_cong :premises (@p413 @p412 @p378 @p411 @p410 @p375 @p409 @p373 @p372 @p399 @p370 @p369 @p398 @p367 @p397 @p365 @p364 @p396 @p362) :args (@t793)) 18.76/19.31 (step @p415 :rule aci_norm :args ((= @t795 @t793))) 18.76/19.31 (step @p416 :rule trans :premises (@p415 @p414)) 18.76/19.31 (step @p417 :rule cong :premises (@p416) :args (@t796)) 18.76/19.31 (step @p418 :rule trans :premises (@p417 @p395)) 18.76/19.31 (step @p419 :rule quant-merge-prenex :args ((= (forall @t161 @t797) @t796))) 18.76/19.31 (step @p420 :rule alpha_equiv :args (@t798 @t703 (@list @t100 @t71 @t73 @t804 @t803 @t802 @t801 @t800 @t799))) 18.76/19.31 (step @p421 :rule refl :args (@t779)) 18.76/19.31 (step @p422 :rule refl :args (@t780)) 18.76/19.31 (step @p423 :rule nary_cong :premises (@p422 @p421 @p420) :args (@t805)) 18.76/19.31 (step @p424 :rule quant-miniscope-or :args ((= @t797 @t805))) 18.76/19.31 (step @p425 :rule trans :premises (@p424 @p423)) 18.76/19.31 (step @p426 :rule symm :premises (@p425)) 18.76/19.31 (step @p427 :rule cong :premises (@p426) :args ((forall @t161 @t856))) 18.76/19.31 (step @p428 :rule trans :premises (@p427 @p419)) 18.76/19.31 (step @p429 :rule trans :premises (@p428 @p418)) 18.76/19.31 (step @p430 :rule aci_norm :args ((= (or @t780 @t857) @t856))) 18.76/19.31 (step @p431 :rule bool-impl-elim :args (@t159 @t857)) 18.76/19.31 (step @p432 :rule trans :premises (@p431 @p430)) 18.76/19.31 (step @p433 :rule cong :premises (@p432) :args ((forall @t161 (=> @t159 @t857)))) 18.76/19.31 (step @p434 :rule trans :premises (@p433 @p429)) 18.76/19.31 (step @p435 :rule refl :args (@t808)) 18.76/19.31 (step @p436 :rule refl :args (@t809)) 18.76/19.31 (step @p437 :rule refl :args (@t812)) 18.76/19.31 (step @p438 :rule refl :args (@t813)) 18.76/19.31 (step @p439 :rule refl :args (@t814)) 18.76/19.31 (step @p440 :rule refl :args (@t820)) 18.76/19.31 (step @p441 :rule refl :args (@t824)) 18.76/19.31 (step @p442 :rule refl :args (@t826)) 18.76/19.31 (step @p443 :rule refl :args (@t823)) 18.76/19.31 (step @p444 :rule eq-symm :args (@t828 @t801)) 18.76/19.31 (step @p445 :rule refl :args (@t801)) 18.76/19.31 (step @p446 :rule arith_poly_norm :args ((= @t858 @t827))) 18.76/19.31 (step @p447 :rule cong :premises (@p446) :args (@t859)) 18.76/19.31 (step @p448 :rule refl :args (@t811)) 18.76/19.31 (step @p449 :rule refl :args (@t81)) 18.76/19.31 (step @p450 :rule refl :args (tptp.vertex)) 18.76/19.31 (step @p451 :rule refl :args (tptp.int)) 18.76/19.31 (step @p452 :rule cong :premises (@p451 @p450 @p449 @p448 @p447) :args (@t860)) 18.76/19.31 (step @p453 :rule cong :premises (@p452) :args (@t861)) 18.76/19.31 (step @p454 :rule cong :premises (@p453 @p445) :args (@t862)) 18.76/19.31 (step @p455 :rule trans :premises (@p454 @p444)) 18.76/19.31 (step @p456 :rule cong :premises (@p455) :args (@t863)) 18.76/19.31 (step @p457 :rule eq-symm :args (@t830 @t802)) 18.76/19.31 (step @p458 :rule cong :premises (@p457) :args (@t864)) 18.76/19.31 (step @p459 :rule refl :args (@t831)) 18.76/19.31 (step @p460 :rule nary_cong :premises (@p459 @p458 @p456 @p443) :args (@t865)) 18.76/19.31 (step @p461 :rule bool-double-not-elim :args (@t834)) 18.76/19.31 (step @p462 :rule arith_poly_norm :args ((= (* -1 (- 0 @t869)) (* -1 (- @t868 1))))) 18.76/19.31 (step @p463 :rule arith_poly_norm_rel :premises (@p462) :args ((= (>= 0 @t869) (>= @t868 1)))) 18.76/19.31 (step @p464 :rule arith-geq-tighten :args (@t833 0)) 18.76/19.31 (step @p465 :rule trans :premises (@p464 @p463)) 18.76/19.31 (step @p466 :rule symm :premises (@p465)) 18.76/19.31 (step @p467 :rule refl :args (1)) 18.76/19.31 (step @p468 :rule arith_poly_norm :args ((= @t870 @t868))) 18.76/19.31 (step @p469 :rule cong :premises (@p468 @p467) :args (@t871)) 18.76/19.31 (step @p470 :rule trans :premises (@p469 @p466)) 18.76/19.31 (step @p471 :rule cong :premises (@p470) :args (@t872)) 18.76/19.31 (step @p472 :rule trans :premises (@p471 @p461)) 18.76/19.31 (step @p473 :rule refl :args (@t821)) 18.76/19.31 (step @p474 :rule refl :args (@t825)) 18.76/19.31 (step @p475 :rule nary_cong :premises (@p474 @p473 @p456 @p472) :args (@t873)) 18.76/19.31 (step @p476 :rule nary_cong :premises (@p475 @p460 @p442 @p441) :args (@t874)) 18.76/19.31 (step @p477 :rule refl :args (@t835)) 18.76/19.31 (step @p478 :rule refl :args (@t836)) 18.76/19.31 (step @p479 :rule refl :args (@t837)) 18.76/19.31 (step @p480 :rule refl :args (@t838)) 18.76/19.31 (step @p481 :rule refl :args (@t839)) 18.76/19.31 (step @p482 :rule refl :args (@t845)) 18.76/19.31 (step @p483 :rule refl :args (@t847)) 18.76/19.31 (step @p484 :rule refl :args (@t849)) 18.76/19.31 (step @p485 :rule refl :args (@t851)) 18.76/19.31 (step @p486 :rule refl :args (@t853)) 18.76/19.31 (step @p487 :rule nary_cong :premises (@p486 @p485 @p484 @p483 @p482 @p481 @p480 @p479 @p478 @p477 @p476 @p440 @p439 @p438 @p437 @p436 @p435) :args (@t875)) 18.76/19.31 (step @p488 :rule aci_norm :args ((= @t877 @t875))) 18.76/19.31 (step @p489 :rule trans :premises (@p488 @p487)) 18.76/19.31 (step @p490 :rule cong :premises (@p489) :args (@t878)) 18.76/19.31 (step @p491 :rule quant-merge-prenex :args ((= (forall @t154 @t879) @t878))) 18.76/19.31 (step @p492 :rule alpha_equiv :args (@t880 (@list @t803 @t802 @t801 @t800 @t799) (@list @t59 @t884 @t883 @t882 @t881))) 18.76/19.31 (step @p493 :rule alpha_equiv :args (@t885 (@list @t804) @t605)) 18.76/19.31 (step @p494 :rule refl :args (@t837)) 18.76/19.31 (step @p495 :rule refl :args (@t838)) 18.76/19.31 (step @p496 :rule refl :args (@t839)) 18.76/19.31 (step @p497 :rule refl :args (@t845)) 18.76/19.31 (step @p498 :rule refl :args (@t847)) 18.76/19.31 (step @p499 :rule refl :args (@t849)) 18.76/19.31 (step @p500 :rule refl :args (@t851)) 18.76/19.31 (step @p501 :rule refl :args (@t853)) 18.76/19.31 (step @p502 :rule nary_cong :premises (@p501 @p500 @p499 @p498 @p497 @p496 @p495 @p494 @p493 @p492) :args (@t886)) 18.76/19.31 (step @p503 :rule quant-miniscope-or :args ((= @t879 @t886))) 18.76/19.31 (step @p504 :rule trans :premises (@p503 @p502)) 18.76/19.31 (step @p505 :rule symm :premises (@p504)) 18.76/19.31 (step @p506 :rule cong :premises (@p505) :args (@t918)) 18.76/19.31 (step @p507 :rule trans :premises (@p506 @p491)) 18.76/19.31 (step @p508 :rule trans :premises (@p507 @p490)) 18.76/19.31 (step @p509 :rule nary_cong :premises (@p412 @p508) :args (@t919)) 18.76/19.31 (step @p510 :rule quant-miniscope-or :args ((= (forall @t154 @t920) @t919))) 18.76/19.31 (step @p511 :rule aci_norm :args ((= @t921 @t920))) 18.76/19.31 (step @p512 :rule cong :premises (@p511) :args ((forall @t154 @t921))) 18.76/19.31 (step @p513 :rule trans :premises (@p512 @p510)) 18.76/19.31 (step @p514 :rule trans :premises (@p513 @p509)) 18.76/19.31 (step @p515 :rule aci_norm :args ((= (or @t923 @t922) @t921))) 18.76/19.31 (step @p516 :rule aci_norm :args ((= @t924 @t922))) 18.76/19.31 (step @p517 :rule aci_norm :args ((= (or @t853 (or @t851 (or @t849 (or @t847 (or @t845 (or @t839 (or @t779 (or @t838 @t837)))))))) @t923))) 18.76/19.31 (step @p518 :rule bool-and-de-morgan :args (@t123 @t121 true)) 18.76/19.31 (step @p519 :rule nary_cong :premises (@p421 @p518) :args ((or @t779 (not (and @t123 @t121))))) 18.76/19.31 (step @p520 :rule bool-and-de-morgan :args (@t125 @t123 (and @t121))) 18.76/19.31 (step @p521 :rule trans :premises (@p520 @p519)) 18.76/19.31 (step @p522 :rule nary_cong :premises (@p496 @p521) :args ((or @t839 (not (and @t125 @t123 @t121))))) 18.76/19.31 (step @p523 :rule bool-and-de-morgan :args (@t126 @t125 (and @t123 @t121))) 18.76/19.31 (step @p524 :rule trans :premises (@p523 @p522)) 18.76/19.31 (step @p525 :rule nary_cong :premises (@p497 @p524) :args ((or @t845 (not (and @t126 @t125 @t123 @t121))))) 18.76/19.31 (step @p526 :rule bool-and-de-morgan :args (@t844 @t126 (and @t125 @t123 @t121))) 18.76/19.31 (step @p527 :rule trans :premises (@p526 @p525)) 18.76/19.31 (step @p528 :rule nary_cong :premises (@p498 @p527) :args ((or @t847 (not (and @t844 @t126 @t125 @t123 @t121))))) 18.76/19.31 (step @p529 :rule bool-and-de-morgan :args (@t846 @t844 (and @t126 @t125 @t123 @t121))) 18.76/19.31 (step @p530 :rule trans :premises (@p529 @p528)) 18.76/19.31 (step @p531 :rule nary_cong :premises (@p499 @p530) :args ((or @t849 (not (and @t846 @t844 @t126 @t125 @t123 @t121))))) 18.76/19.31 (step @p532 :rule bool-and-de-morgan :args (@t848 @t846 (and @t844 @t126 @t125 @t123 @t121))) 18.76/19.31 (step @p533 :rule trans :premises (@p532 @p531)) 18.76/19.31 (step @p534 :rule nary_cong :premises (@p500 @p533) :args ((or @t851 (not (and @t848 @t846 @t844 @t126 @t125 @t123 @t121))))) 18.76/19.31 (step @p535 :rule bool-and-de-morgan :args (@t850 @t848 (and @t846 @t844 @t126 @t125 @t123 @t121))) 18.76/19.31 (step @p536 :rule trans :premises (@p535 @p534)) 18.76/19.31 (step @p537 :rule nary_cong :premises (@p501 @p536) :args ((or @t853 (not (and @t850 @t848 @t846 @t844 @t126 @t125 @t123 @t121))))) 18.76/19.31 (step @p538 :rule bool-and-de-morgan :args (@t852 @t850 (and @t848 @t846 @t844 @t126 @t125 @t123 @t121))) 18.76/19.31 (step @p539 :rule trans :premises (@p538 @p537)) 18.76/19.31 (step @p540 :rule trans :premises (@p539 @p517)) 18.76/19.31 (step @p541 :rule nary_cong :premises (@p540 @p516) :args ((or (not @t925) @t924))) 18.76/19.31 (step @p542 :rule trans :premises (@p541 @p515)) 18.76/19.31 (step @p543 :rule bool-impl-elim :args (@t925 @t924)) 18.76/19.31 (step @p544 :rule trans :premises (@p543 @p542)) 18.76/19.31 (step @p545 :rule cong :premises (@p544) :args ((forall @t154 (=> @t925 @t924)))) 18.76/19.31 (step @p546 :rule trans :premises (@p545 @p514)) 18.76/19.31 (step @p547 :rule aci_norm :args ((= (or @t111 false) @t111))) 18.76/19.31 (step @p548 :rule eq-refl :args (tptp.true1)) 18.76/19.31 (step @p549 :rule cong :premises (@p548) :args (@t927)) 18.76/19.31 (step @p550 :rule trans :premises (@p549 @p158)) 18.76/19.31 (step @p551 :rule bool-eq-true :args (@t111)) 18.76/19.31 (step @p552 :rule refl :args (@t111)) 18.76/19.31 (step @p553 :rule cong :premises (@p552 @p548) :args (@t928)) 18.76/19.31 (step @p554 :rule trans :premises (@p553 @p551)) 18.76/19.31 (step @p555 :rule nary_cong :premises (@p554 @p550) :args (@t929)) 18.76/19.31 (step @p556 :rule trans :premises (@p555 @p547)) 18.76/19.31 (step @p557 :rule quant-var-elim-eq :args ((= (forall @t118 (or (not @t115) @t932 @t931)) @t929))) 18.76/19.31 (step @p558 :rule refl :args (@t931)) 18.76/19.31 (step @p559 :rule refl :args (@t932)) 18.76/19.31 (step @p560 :rule eq-symm :args (tptp.true1 @t114)) 18.76/19.31 (step @p561 :rule cong :premises (@p560) :args (@t931)) 18.76/19.31 (step @p562 :rule nary_cong :premises (@p561 @p559 @p558) :args (@t933)) 18.76/19.31 (step @p563 :rule aci_norm :args ((= @t934 @t933))) 18.76/19.31 (step @p564 :rule trans :premises (@p563 @p562)) 18.76/19.31 (step @p565 :rule cong :premises (@p564) :args (@t935)) 18.76/19.31 (step @p566 :rule trans :premises (@p565 @p557)) 18.76/19.31 (step @p567 :rule trans :premises (@p566 @p556)) 18.76/19.31 (step @p568 :rule refl :args (@t916)) 18.76/19.31 (step @p569 :rule nary_cong :premises (@p552 @p568 @p567) :args (@t936)) 18.76/19.31 (step @p570 :rule quant-miniscope-or :args ((= (forall @t118 @t937) @t936))) 18.76/19.31 (step @p571 :rule aci_norm :args ((= @t938 @t937))) 18.76/19.31 (step @p572 :rule cong :premises (@p571) :args ((forall @t118 @t938))) 18.76/19.31 (step @p573 :rule trans :premises (@p572 @p570)) 18.76/19.31 (step @p574 :rule trans :premises (@p573 @p569)) 18.76/19.31 (step @p575 :rule aci_norm :args ((= (or @t932 @t939) @t938))) 18.76/19.31 (step @p576 :rule aci_norm :args ((= (or @t931 @t922) @t939))) 18.76/19.31 (step @p577 :rule refl :args (@t916)) 18.76/19.31 (step @p578 :rule bool-double-not-elim :args (@t111)) 18.76/19.31 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or @t940 @t916))) 18.76/19.31 (step @p580 :rule bool-impl-elim :args (@t112 @t916)) 18.76/19.31 (step @p581 :rule trans :premises (@p580 @p579)) 18.76/19.31 (step @p582 :rule nary_cong :premises (@p558 @p581) :args ((or @t931 @t941))) 18.76/19.31 (step @p583 :rule trans :premises (@p582 @p576)) 18.76/19.31 (step @p584 :rule bool-impl-elim :args (@t930 @t941)) 18.76/19.31 (step @p585 :rule trans :premises (@p584 @p583)) 18.76/19.31 (step @p586 :rule refl :args (@t930)) 18.76/19.31 (step @p587 :rule cong :premises (@p578 @p586) :args ((= @t940 @t930))) 18.76/19.31 (step @p588 :rule bool-not-eq-elim1 :args (@t112 @t930)) 18.76/19.31 (step @p589 :rule trans :premises (@p588 @p587)) 18.76/19.31 (step @p590 :rule nary_cong :premises (@p589 @p585) :args ((or (not @t943) @t942))) 18.76/19.31 (step @p591 :rule trans :premises (@p590 @p575)) 18.76/19.31 (step @p592 :rule bool-impl-elim :args (@t943 @t942)) 18.76/19.31 (step @p593 :rule trans :premises (@p592 @p591)) 18.76/19.31 (step @p594 :rule cong :premises (@p593) :args ((forall @t118 (=> @t943 @t942)))) 18.76/19.31 (step @p595 :rule trans :premises (@p594 @p574)) 18.76/19.31 (step @p596 :rule aci_norm :args ((= (or @t913 false @t912 @t900 @t895 @t894 @t893 @t890 @t889) @t914))) 18.76/19.31 (step @p597 :rule refl :args (@t889)) 18.76/19.31 (step @p598 :rule refl :args (@t890)) 18.76/19.31 (step @p599 :rule refl :args (@t893)) 18.76/19.31 (step @p600 :rule refl :args (@t894)) 18.76/19.31 (step @p601 :rule refl :args (@t895)) 18.76/19.31 (step @p602 :rule refl :args (@t900)) 18.76/19.31 (step @p603 :rule refl :args (@t912)) 18.76/19.31 (step @p604 :rule eq-refl :args (@t102)) 18.76/19.31 (step @p605 :rule cong :premises (@p604) :args (@t944)) 18.76/19.31 (step @p606 :rule trans :premises (@p605 @p158)) 18.76/19.31 (step @p607 :rule refl :args (@t913)) 18.76/19.31 (step @p608 :rule nary_cong :premises (@p607 @p606 @p603 @p602 @p601 @p600 @p599 @p598 @p597) :args (@t945)) 18.76/19.31 (step @p609 :rule trans :premises (@p608 @p596)) 18.76/19.31 (step @p610 :rule cong :premises (@p609) :args ((forall @t915 @t945))) 18.76/19.31 (step @p611 :rule quant-var-elim-eq :args ((= (forall @t949 @t948) @t945))) 18.76/19.31 (step @p612 :rule aci_norm :args ((= @t950 @t948))) 18.76/19.31 (step @p613 :rule cong :premises (@p612) :args (@t951)) 18.76/19.31 (step @p614 :rule trans :premises (@p613 @p611)) 18.76/19.31 (step @p615 :rule cong :premises (@p614) :args (@t952)) 18.76/19.31 (step @p616 :rule quant-merge-prenex :args ((= @t952 @t953))) 18.76/19.31 (step @p617 :rule symm :premises (@p616)) 18.76/19.31 (step @p618 :rule quant_var_reordering :args ((= (forall @t954 @t950) @t953))) 18.76/19.31 (step @p619 :rule trans :premises (@p618 @p617 @p615)) 18.76/19.31 (step @p620 :rule trans :premises (@p619 @p610)) 18.76/19.31 (step @p621 :rule refl :args (@t946)) 18.76/19.31 (step @p622 :rule refl :args (@t903)) 18.76/19.31 (step @p623 :rule refl :args (@t905)) 18.76/19.31 (step @p624 :rule refl :args (@t75)) 18.76/19.31 (step @p625 :rule eq-symm :args (@t883 @t907)) 18.76/19.31 (step @p626 :rule cong :premises (@p625) :args (@t955)) 18.76/19.31 (step @p627 :rule eq-symm :args (@t884 @t89)) 18.76/19.31 (step @p628 :rule cong :premises (@p627) :args (@t956)) 18.76/19.31 (step @p629 :rule refl :args (@t91)) 18.76/19.31 (step @p630 :rule nary_cong :premises (@p629 @p628 @p626 @p624) :args (@t957)) 18.76/19.31 (step @p631 :rule refl :args (@t911)) 18.76/19.31 (step @p632 :rule refl :args (@t901)) 18.76/19.31 (step @p633 :rule refl :args (@t904)) 18.76/19.31 (step @p634 :rule nary_cong :premises (@p633 @p632 @p626 @p631) :args (@t958)) 18.76/19.31 (step @p635 :rule nary_cong :premises (@p634 @p630 @p623 @p622) :args (@t959)) 18.76/19.31 (step @p636 :rule refl :args (@t947)) 18.76/19.31 (step @p637 :rule nary_cong :premises (@p607 @p636 @p635 @p602 @p601 @p600 @p621 @p598 @p597) :args (@t960)) 18.76/19.31 (step @p638 :rule aci_norm :args ((= @t962 @t960))) 18.76/19.31 (step @p639 :rule trans :premises (@p638 @p637)) 18.76/19.31 (step @p640 :rule cong :premises (@p639) :args (@t963)) 18.76/19.31 (step @p641 :rule trans :premises (@p640 @p620)) 18.76/19.31 (step @p642 :rule quant-merge-prenex :args ((= (forall @t107 @t965) @t963))) 18.76/19.31 (step @p643 :rule alpha_equiv :args (@t966 (@list @t884 @t883 @t882 @t881) (@list @t33 @t62 @t968 @t967))) 18.76/19.31 (step @p644 :rule refl :args (@t947)) 18.76/19.31 (step @p645 :rule refl :args (@t913)) 18.76/19.31 (step @p646 :rule nary_cong :premises (@p645 @p644 @p643) :args (@t969)) 18.76/19.31 (step @p647 :rule quant-miniscope-or :args ((= @t965 @t969))) 18.76/19.31 (step @p648 :rule trans :premises (@p647 @p646)) 18.76/19.31 (step @p649 :rule symm :premises (@p648)) 18.76/19.31 (step @p650 :rule cong :premises (@p649) :args ((forall @t107 @t998))) 18.76/19.31 (step @p651 :rule trans :premises (@p650 @p642)) 18.76/19.31 (step @p652 :rule trans :premises (@p651 @p641)) 18.76/19.31 (step @p653 :rule aci_norm :args ((= (or (or @t913 @t947) @t997) @t998))) 18.76/19.31 (step @p654 :rule refl :args (@t997)) 18.76/19.31 (step @p655 :rule bool-and-de-morgan :args (@t104 @t103 true)) 18.76/19.31 (step @p656 :rule nary_cong :premises (@p655 @p654) :args ((or (not @t105) @t997))) 18.76/19.31 (step @p657 :rule trans :premises (@p656 @p653)) 18.76/19.31 (step @p658 :rule bool-impl-elim :args (@t105 @t997)) 18.76/19.31 (step @p659 :rule trans :premises (@p658 @p657)) 18.76/19.31 (step @p660 :rule cong :premises (@p659) :args ((forall @t107 (=> @t105 @t997)))) 18.76/19.31 (step @p661 :rule trans :premises (@p660 @p652)) 18.76/19.31 (step @p662 :rule refl :args (@t971)) 18.76/19.31 (step @p663 :rule refl :args (@t972)) 18.76/19.31 (step @p664 :rule eq-symm :args (@t968 @t41)) 18.76/19.31 (step @p665 :rule cong :premises (@p664) :args (@t1000)) 18.76/19.31 (step @p666 :rule refl :args (@t974)) 18.76/19.31 (step @p667 :rule nary_cong :premises (@p666 @p665) :args (@t1001)) 18.76/19.31 (step @p668 :rule nary_cong :premises (@p664 @p667) :args (@t1002)) 18.76/19.31 (step @p669 :rule refl :args (@t975)) 18.76/19.31 (step @p670 :rule refl :args (@t976)) 18.76/19.31 (step @p671 :rule refl :args (@t981)) 18.76/19.31 (step @p672 :rule refl :args (@t995)) 18.76/19.31 (step @p673 :rule nary_cong :premises (@p672 @p671 @p670 @p669 @p668 @p663 @p662) :args (@t1003)) 18.76/19.31 (step @p674 :rule aci_norm :args ((= @t1005 @t1003))) 18.76/19.31 (step @p675 :rule trans :premises (@p674 @p673)) 18.76/19.31 (step @p676 :rule cong :premises (@p675) :args (@t1006)) 18.76/19.31 (step @p677 :rule quant-merge-prenex :args ((= (forall @t98 @t1008) @t1006))) 18.76/19.31 (step @p678 :rule alpha_equiv :args (@t1009 (@list @t968 @t967) (@list @t22 @t1010))) 18.76/19.31 (step @p679 :rule refl :args (@t981)) 18.76/19.31 (step @p680 :rule refl :args (@t995)) 18.76/19.31 (step @p681 :rule nary_cong :premises (@p680 @p679 @p678) :args (@t1011)) 18.76/19.31 (step @p682 :rule quant-miniscope-or :args ((= @t1008 @t1011))) 18.76/19.31 (step @p683 :rule trans :premises (@p682 @p681)) 18.76/19.31 (step @p684 :rule symm :premises (@p683)) 18.76/19.31 (step @p685 :rule cong :premises (@p684) :args ((forall @t98 @t1020))) 18.76/19.31 (step @p686 :rule trans :premises (@p685 @p677)) 18.76/19.31 (step @p687 :rule trans :premises (@p686 @p676)) 18.76/19.31 (step @p688 :rule aci_norm :args ((= (or @t995 (or @t981 @t1019)) @t1020))) 18.76/19.31 (step @p689 :rule refl :args (@t1019)) 18.76/19.31 (step @p690 :rule bool-or-de-morgan :args (@t980 @t978 false)) 18.76/19.31 (step @p691 :rule nary_cong :premises (@p690 @p689) :args ((or (not @t1021) @t1019))) 18.76/19.31 (step @p692 :rule bool-impl-elim :args (@t1021 @t1019)) 18.76/19.31 (step @p693 :rule trans :premises (@p692 @p691)) 18.76/19.31 (step @p694 :rule aci_norm :args ((= (or @t80 (or @t985 @t983)) @t986))) 18.76/19.31 (step @p695 :rule bool-and-de-morgan :args (@t984 @t982 true)) 18.76/19.31 (step @p696 :rule refl :args (@t80)) 18.76/19.31 (step @p697 :rule nary_cong :premises (@p696 @p695) :args ((or @t80 (not (and @t984 @t982))))) 18.76/19.31 (step @p698 :rule bool-and-de-morgan :args (@t75 @t984 (and @t982))) 18.76/19.31 (step @p699 :rule trans :premises (@p698 @p697)) 18.76/19.31 (step @p700 :rule trans :premises (@p699 @p694)) 18.76/19.31 (step @p701 :rule aci_norm :args ((= (or @t983 (or @t985 (or @t989 @t987))) @t990))) 18.76/19.31 (step @p702 :rule bool-and-de-morgan :args (@t988 @t77 true)) 18.76/19.31 (step @p703 :rule refl :args (@t985)) 18.76/19.31 (step @p704 :rule nary_cong :premises (@p703 @p702) :args ((or @t985 (not (and @t988 @t77))))) 18.76/19.31 (step @p705 :rule bool-and-de-morgan :args (@t984 @t988 (and @t77))) 18.76/19.31 (step @p706 :rule trans :premises (@p705 @p704)) 18.76/19.31 (step @p707 :rule refl :args (@t983)) 18.76/19.31 (step @p708 :rule nary_cong :premises (@p707 @p706) :args ((or @t983 (not (and @t984 @t988 @t77))))) 18.76/19.31 (step @p709 :rule bool-and-de-morgan :args (@t982 @t984 (and @t988 @t77))) 18.76/19.31 (step @p710 :rule trans :premises (@p709 @p708)) 18.76/19.31 (step @p711 :rule trans :premises (@p710 @p701)) 18.76/19.31 (step @p712 :rule bool-double-not-elim :args (@t75)) 18.76/19.31 (step @p713 :rule refl :args (@t992)) 18.76/19.31 (step @p714 :rule refl :args (@t993)) 18.76/19.31 (step @p715 :rule bool-double-not-elim :args (@t91)) 18.76/19.31 (step @p716 :rule nary_cong :premises (@p715 @p714 @p713 @p712) :args (@t1024)) 18.76/19.31 (step @p717 :rule aci_norm :args ((= (or @t1023 (or @t993 (or @t992 @t1022))) @t1024))) 18.76/19.31 (step @p718 :rule trans :premises (@p717 @p716)) 18.76/19.31 (step @p719 :rule bool-and-de-morgan :args (@t991 @t80 true)) 18.76/19.31 (step @p720 :rule nary_cong :premises (@p714 @p719) :args ((or @t993 (not (and @t991 @t80))))) 18.76/19.31 (step @p721 :rule bool-and-de-morgan :args (@t90 @t991 (and @t80))) 18.76/19.31 (step @p722 :rule trans :premises (@p721 @p720)) 18.76/19.31 (step @p723 :rule refl :args (@t1023)) 18.76/19.31 (step @p724 :rule nary_cong :premises (@p723 @p722) :args ((or @t1023 (not (and @t90 @t991 @t80))))) 18.76/19.31 (step @p725 :rule bool-and-de-morgan :args (@t92 @t90 (and @t991 @t80))) 18.76/19.31 (step @p726 :rule trans :premises (@p725 @p724)) 18.76/19.31 (step @p727 :rule trans :premises (@p726 @p718)) 18.76/19.31 (step @p728 :rule aci_norm :args ((= (or @t987 (or @t983 (or @t992 @t911))) @t994))) 18.76/19.31 (step @p729 :rule bool-and-de-morgan :args (@t991 @t910 true)) 18.76/19.31 (step @p730 :rule nary_cong :premises (@p707 @p729) :args ((or @t983 (not (and @t991 @t910))))) 18.76/19.31 (step @p731 :rule bool-and-de-morgan :args (@t982 @t991 (and @t910))) 18.76/19.31 (step @p732 :rule trans :premises (@p731 @p730)) 18.76/19.31 (step @p733 :rule refl :args (@t987)) 18.76/19.31 (step @p734 :rule nary_cong :premises (@p733 @p732) :args ((or @t987 (not (and @t982 @t991 @t910))))) 18.76/19.31 (step @p735 :rule bool-and-de-morgan :args (@t77 @t982 (and @t991 @t910))) 18.76/19.31 (step @p736 :rule trans :premises (@p735 @p734)) 18.76/19.31 (step @p737 :rule trans :premises (@p736 @p728)) 18.76/19.31 (step @p738 :rule nary_cong :premises (@p737 @p727 @p711 @p700) :args (@t1033)) 18.76/19.31 (step @p739 :rule aci_norm :args ((= (and @t1032 (and @t1030 (and @t1028 @t1026))) @t1033))) 18.76/19.31 (step @p740 :rule bool-or-de-morgan :args (@t1027 @t1025 false)) 18.76/19.31 (step @p741 :rule refl :args (@t1030)) 18.76/19.31 (step @p742 :rule nary_cong :premises (@p741 @p740) :args ((and @t1030 (not (or @t1027 @t1025))))) 18.76/19.31 (step @p743 :rule bool-or-de-morgan :args (@t1029 @t1027 (or @t1025))) 18.76/19.31 (step @p744 :rule trans :premises (@p743 @p742)) 18.76/19.31 (step @p745 :rule refl :args (@t1032)) 18.76/19.31 (step @p746 :rule nary_cong :premises (@p745 @p744) :args ((and @t1032 (not (or @t1029 @t1027 @t1025))))) 18.76/19.31 (step @p747 :rule bool-or-de-morgan :args (@t1031 @t1029 (or @t1027 @t1025))) 18.76/19.31 (step @p748 :rule trans :premises (@p747 @p746)) 18.76/19.31 (step @p749 :rule trans :premises (@p748 @p739)) 18.76/19.31 (step @p750 :rule trans :premises (@p749 @p738)) 18.76/19.31 (step @p751 :rule nary_cong :premises (@p750 @p693) :args ((or (not @t1035) @t1034))) 18.76/19.31 (step @p752 :rule trans :premises (@p751 @p688)) 18.76/19.31 (step @p753 :rule bool-impl-elim :args (@t1035 @t1034)) 18.76/19.31 (step @p754 :rule trans :premises (@p753 @p752)) 18.76/19.31 (step @p755 :rule cong :premises (@p754) :args ((forall @t98 (=> @t1035 @t1034)))) 18.76/19.31 (step @p756 :rule trans :premises (@p755 @p687)) 18.76/19.31 (step @p757 :rule aci_norm :args ((= @t1037 @t1017))) 18.76/19.31 (step @p758 :rule cong :premises (@p757) :args (@t1038)) 18.76/19.31 (step @p759 :rule quant-merge-prenex :args ((= (forall @t27 @t1040) @t1038))) 18.76/19.31 (step @p760 :rule alpha_equiv :args (@t1041 (@list @t1010) @t1042)) 18.76/19.31 (step @p761 :rule refl :args (@t775)) 18.76/19.31 (step @p762 :rule nary_cong :premises (@p761 @p760) :args (@t1043)) 18.76/19.31 (step @p763 :rule quant-miniscope-or :args ((= @t1040 @t1043))) 18.76/19.31 (step @p764 :rule trans :premises (@p763 @p762)) 18.76/19.31 (step @p765 :rule symm :premises (@p764)) 18.76/19.31 (step @p766 :rule cong :premises (@p765) :args ((forall @t27 (or @t775 @t1047)))) 18.76/19.31 (step @p767 :rule trans :premises (@p766 @p759)) 18.76/19.31 (step @p768 :rule trans :premises (@p767 @p758)) 18.76/19.31 (step @p769 :rule bool-impl-elim :args (@t56 @t1047)) 18.76/19.31 (step @p770 :rule cong :premises (@p769) :args ((forall @t27 (=> @t56 @t1047)))) 18.76/19.31 (step @p771 :rule trans :premises (@p770 @p768)) 18.76/19.31 (step @p772 :rule aci_norm :args ((= (or @t1045 @t1048) @t1046))) 18.76/19.31 (step @p773 :rule aci_norm :args ((= (or @t1044 @t40) @t1048))) 18.76/19.31 (step @p774 :rule refl :args (@t40)) 18.76/19.31 (step @p775 :rule refl :args (@t48)) 18.76/19.31 (step @p776 :rule bool-double-not-elim :args (@t45)) 18.76/19.31 (step @p777 :rule nary_cong :premises (@p776 @p775) :args ((or (not @t46) @t48))) 18.76/19.31 (step @p778 :rule bool-and-de-morgan :args (@t46 @t42 true)) 18.76/19.31 (step @p779 :rule trans :premises (@p778 @p777)) 18.76/19.31 (step @p780 :rule refl :args (@t42)) 18.76/19.31 (step @p781 :rule nary_cong :premises (@p780 @p779) :args ((and @t42 @t1049))) 18.76/19.31 (step @p782 :rule refl :args (@t1049)) 18.76/19.31 (step @p783 :rule bool-double-not-elim :args (@t42)) 18.76/19.31 (step @p784 :rule nary_cong :premises (@p783 @p782) :args ((and @t1050 @t1049))) 18.76/19.31 (step @p785 :rule bool-or-de-morgan :args (@t48 @t47 false)) 18.76/19.31 (step @p786 :rule trans :premises (@p785 @p784)) 18.76/19.31 (step @p787 :rule trans :premises (@p786 @p781)) 18.76/19.31 (step @p788 :rule nary_cong :premises (@p787 @p774) :args ((or (not @t49) @t40))) 18.76/19.31 (step @p789 :rule trans :premises (@p788 @p773)) 18.76/19.31 (step @p790 :rule bool-impl-elim :args (@t49 @t40)) 18.76/19.31 (step @p791 :rule trans :premises (@p790 @p789)) 18.76/19.31 (step @p792 :rule refl :args (@t1045)) 18.76/19.31 (step @p793 :rule nary_cong :premises (@p792 @p791) :args ((or @t1045 @t50))) 18.76/19.31 (step @p794 :rule trans :premises (@p793 @p772)) 18.76/19.31 (step @p795 :rule bool-impl-elim :args (@t52 @t50)) 18.76/19.31 (step @p796 :rule trans :premises (@p795 @p794)) 18.76/19.31 (step @p797 :rule cong :premises (@p796) :args (@t54)) 18.76/19.31 (step @p798 :rule refl :args (@t56)) 18.76/19.31 (step @p799 :rule cong :premises (@p798 @p797) :args (@t57)) 18.76/19.31 (step @p800 :rule cong :premises (@p799) :args (@t58)) 18.76/19.31 (step @p801 :rule trans :premises (@p800 @p771)) 18.76/19.31 (step @p802 :rule arith_poly_norm :args ((= (* 1 @t1052) (* -1 (- @t60 @t977))))) 18.76/19.31 (step @p803 :rule arith_poly_norm_rel :premises (@p802) :args ((= (= @t67 @t1051) @t978))) 18.76/19.31 (step @p804 :rule arith_poly_norm :args ((= @t65 @t1051))) 18.76/19.31 (step @p805 :rule refl :args (@t67)) 18.76/19.31 (step @p806 :rule cong :premises (@p805 @p804) :args (@t68)) 18.76/19.31 (step @p807 :rule trans :premises (@p806 @p803)) 18.76/19.31 (step @p808 :rule bool-double-not-elim :args (@t980)) 18.76/19.31 (step @p809 :rule arith_poly_norm :args ((= (* -1 (- 1 @t1053)) (* -1 @t1052)))) 18.76/19.31 (step @p810 :rule arith_poly_norm_rel :premises (@p809) :args ((= (>= 1 @t1053) (>= @t67 @t1051)))) 18.76/19.31 (step @p811 :rule arith-geq-tighten :args (@t979 1)) 18.76/19.31 (step @p812 :rule trans :premises (@p811 @p810)) 18.76/19.31 (step @p813 :rule symm :premises (@p812)) 18.76/19.31 (step @p814 :rule cong :premises (@p805 @p804) :args (@t1054)) 18.76/19.31 (step @p815 :rule trans :premises (@p814 @p813)) 18.76/19.31 (step @p816 :rule cong :premises (@p815) :args ((not @t1054))) 18.76/19.31 (step @p817 :rule trans :premises (@p816 @p808)) 18.76/19.31 (step @p818 :rule arith-elim-lt :args (@t67 @t65)) 18.76/19.31 (step @p819 :rule trans :premises (@p818 @p817)) 18.76/19.31 (step @p820 :rule nary_cong :premises (@p819 @p807) :args (@t69)) 18.76/19.31 (step @p821 :rule cong :premises (@p820 @p801) :args (@t70)) 18.76/19.31 (step @p822 :rule eq-symm :args (@t33 @t71)) 18.76/19.31 (step @p823 :rule eq-symm :args (@t62 @t73)) 18.76/19.31 (step @p824 :rule nary_cong :premises (@p624 @p823 @p822) :args (@t76)) 18.76/19.31 (step @p825 :rule refl :args (@t77)) 18.76/19.31 (step @p826 :rule arith_poly_norm :args ((= (* 1 (- @t1051 @t67)) (* 1 (- @t979 0))))) 18.76/19.31 (step @p827 :rule arith_poly_norm_rel :premises (@p826) :args ((= (>= @t1051 @t67) @t988))) 18.76/19.31 (step @p828 :rule arith-elim-leq :args (@t67 @t1051)) 18.76/19.31 (step @p829 :rule trans :premises (@p828 @p827)) 18.76/19.31 (step @p830 :rule cong :premises (@p805 @p804) :args (@t78)) 18.76/19.31 (step @p831 :rule trans :premises (@p830 @p829)) 18.76/19.31 (step @p832 :rule nary_cong :premises (@p822 @p823 @p831 @p825) :args (@t79)) 18.76/19.31 (step @p833 :rule refl :args (@t80)) 18.76/19.31 (step @p834 :rule arith_poly_norm :args ((= @t83 @t906))) 18.76/19.31 (step @p835 :rule cong :premises (@p834) :args (@t84)) 18.76/19.31 (step @p836 :rule refl :args (@t66)) 18.76/19.31 (step @p837 :rule cong :premises (@p451 @p450 @p449 @p836 @p835) :args (@t85)) 18.76/19.31 (step @p838 :rule cong :premises (@p837) :args (@t86)) 18.76/19.31 (step @p839 :rule refl :args (@t62)) 18.76/19.31 (step @p840 :rule cong :premises (@p839 @p838) :args (@t87)) 18.76/19.31 (step @p841 :rule refl :args (@t90)) 18.76/19.31 (step @p842 :rule refl :args (@t92)) 18.76/19.31 (step @p843 :rule nary_cong :premises (@p842 @p841 @p840 @p833) :args (@t93)) 18.76/19.31 (step @p844 :rule bool-double-not-elim :args (@t910)) 18.76/19.31 (step @p845 :rule arith_poly_norm :args ((= (* -1 (- 1 @t1055)) (* -1 (- @t906 @t94))))) 18.76/19.31 (step @p846 :rule arith_poly_norm_rel :premises (@p845) :args ((= (>= 1 @t1055) (>= @t906 @t94)))) 18.76/19.31 (step @p847 :rule arith-geq-tighten :args (@t909 1)) 18.76/19.31 (step @p848 :rule trans :premises (@p847 @p846)) 18.76/19.31 (step @p849 :rule symm :premises (@p848)) 18.76/19.31 (step @p850 :rule refl :args (@t94)) 18.76/19.31 (step @p851 :rule cong :premises (@p834 @p850) :args (@t1056)) 18.76/19.31 (step @p852 :rule trans :premises (@p851 @p849)) 18.76/19.31 (step @p853 :rule cong :premises (@p852) :args ((not @t1056))) 18.76/19.31 (step @p854 :rule trans :premises (@p853 @p844)) 18.76/19.31 (step @p855 :rule arith-elim-lt :args (@t83 @t94)) 18.76/19.31 (step @p856 :rule trans :premises (@p855 @p854)) 18.76/19.31 (step @p857 :rule nary_cong :premises (@p825 @p822 @p840 @p856) :args (@t95)) 18.76/19.31 (step @p858 :rule nary_cong :premises (@p857 @p843 @p832 @p824) :args (@t96)) 18.76/19.31 (step @p859 :rule cong :premises (@p858 @p821) :args (@t97)) 18.76/19.31 (step @p860 :rule cong :premises (@p859) :args (@t99)) 18.76/19.31 (step @p861 :rule trans :premises (@p860 @p756)) 18.76/19.31 (step @p862 :rule refl :args (@t105)) 18.76/19.31 (step @p863 :rule cong :premises (@p862 @p861) :args (@t106)) 18.76/19.31 (step @p864 :rule cong :premises (@p863) :args (@t108)) 18.76/19.31 (step @p865 :rule trans :premises (@p864 @p661)) 18.76/19.31 (step @p866 :rule refl :args (@t112)) 18.76/19.31 (step @p867 :rule cong :premises (@p866 @p865) :args (@t113)) 18.76/19.31 (step @p868 :rule eq-symm :args (@t114 tptp.true1)) 18.76/19.31 (step @p869 :rule cong :premises (@p868 @p867) :args (@t116)) 18.76/19.31 (step @p870 :rule eq-symm :args (@t930 @t112)) 18.76/19.31 (step @p871 :rule cong :premises (@p868 @p866) :args ((= @t115 @t112))) 18.76/19.31 (step @p872 :rule trans :premises (@p871 @p870)) 18.76/19.31 (step @p873 :rule eq-symm :args (@t112 @t115)) 18.76/19.31 (step @p874 :rule trans :premises (@p873 @p872)) 18.76/19.31 (step @p875 :rule cong :premises (@p874 @p869) :args (@t117)) 18.76/19.31 (step @p876 :rule cong :premises (@p875) :args (@t119)) 18.76/19.31 (step @p877 :rule trans :premises (@p876 @p595)) 18.76/19.31 (step @p878 :rule refl :args (@t121)) 18.76/19.31 (step @p879 :rule refl :args (@t123)) 18.76/19.31 (step @p880 :rule refl :args (@t125)) 18.76/19.31 (step @p881 :rule refl :args (@t126)) 18.76/19.31 (step @p882 :rule arith_poly_norm :args ((= @t1057 @t841))) 18.76/19.31 (step @p883 :rule cong :premises (@p882 @p110) :args (@t1058)) 18.76/19.31 (step @p884 :rule refl :args (@t842)) 18.76/19.31 (step @p885 :rule nary_cong :premises (@p884 @p883) :args (@t1059)) 18.76/19.31 (step @p886 :rule refl :args (@t843)) 18.76/19.31 (step @p887 :rule nary_cong :premises (@p406 @p405 @p886 @p885) :args (@t1060)) 18.76/19.31 (step @p888 :rule aci_norm :args ((= @t1062 @t1060))) 18.76/19.31 (step @p889 :rule trans :premises (@p888 @p887)) 18.76/19.31 (step @p890 :rule cong :premises (@p889) :args (@t1063)) 18.76/19.31 (step @p891 :rule quant-merge-prenex :args ((= (forall @t27 @t1065) @t1063))) 18.76/19.31 (step @p892 :rule alpha_equiv :args (@t1066 (@list @t395) @t1042)) 18.76/19.31 (step @p893 :rule nary_cong :premises (@p761 @p892) :args (@t1067)) 18.76/19.31 (step @p894 :rule quant-miniscope-or :args ((= @t1065 @t1067))) 18.76/19.31 (step @p895 :rule trans :premises (@p894 @p893)) 18.76/19.31 (step @p896 :rule symm :premises (@p895)) 18.76/19.31 (step @p897 :rule cong :premises (@p896) :args ((forall @t27 (or @t775 @t1073)))) 18.76/19.31 (step @p898 :rule trans :premises (@p897 @p891)) 18.76/19.31 (step @p899 :rule trans :premises (@p898 @p890)) 18.76/19.31 (step @p900 :rule bool-impl-elim :args (@t56 @t1073)) 18.76/19.31 (step @p901 :rule cong :premises (@p900) :args ((forall @t27 (=> @t56 @t1073)))) 18.76/19.31 (step @p902 :rule trans :premises (@p901 @p899)) 18.76/19.31 (step @p903 :rule aci_norm :args ((= (or @t1045 (or @t1071 @t1070)) @t1072))) 18.76/19.31 (step @p904 :rule refl :args (@t1070)) 18.76/19.31 (step @p905 :rule bool-double-not-elim :args (@t134)) 18.76/19.31 (step @p906 :rule nary_cong :premises (@p775 @p905) :args ((or @t48 (not @t135)))) 18.76/19.31 (step @p907 :rule bool-and-de-morgan :args (@t42 @t135 true)) 18.76/19.31 (step @p908 :rule trans :premises (@p907 @p906)) 18.76/19.31 (step @p909 :rule nary_cong :premises (@p780 @p908) :args ((and @t42 @t1074))) 18.76/19.31 (step @p910 :rule refl :args (@t1074)) 18.76/19.31 (step @p911 :rule nary_cong :premises (@p783 @p910) :args ((and @t1050 @t1074))) 18.76/19.31 (step @p912 :rule bool-or-de-morgan :args (@t48 @t136 false)) 18.76/19.31 (step @p913 :rule trans :premises (@p912 @p911)) 18.76/19.31 (step @p914 :rule trans :premises (@p913 @p909)) 18.76/19.31 (step @p915 :rule nary_cong :premises (@p914 @p904) :args ((or (not @t137) @t1070))) 18.76/19.31 (step @p916 :rule bool-impl-elim :args (@t137 @t1070)) 18.76/19.31 (step @p917 :rule trans :premises (@p916 @p915)) 18.76/19.31 (step @p918 :rule nary_cong :premises (@p792 @p917) :args ((or @t1045 @t1075))) 18.76/19.31 (step @p919 :rule trans :premises (@p918 @p903)) 18.76/19.31 (step @p920 :rule bool-impl-elim :args (@t52 @t1075)) 18.76/19.31 (step @p921 :rule trans :premises (@p920 @p919)) 18.76/19.31 (step @p922 :rule cong :premises (@p921) :args ((forall @t53 (=> @t52 @t1075)))) 18.76/19.31 (step @p923 :rule arith_poly_norm :args ((= (* 1 (- @t1076 @t130)) (* 1 (- @t1068 0))))) 18.76/19.31 (step @p924 :rule arith_poly_norm_rel :premises (@p923) :args ((= (>= @t1076 @t130) @t1069))) 18.76/19.31 (step @p925 :rule arith-elim-leq :args (@t130 @t1076)) 18.76/19.31 (step @p926 :rule trans :premises (@p925 @p924)) 18.76/19.31 (step @p927 :rule arith_poly_norm :args ((= @t129 @t1076))) 18.76/19.31 (step @p928 :rule refl :args (@t130)) 18.76/19.31 (step @p929 :rule cong :premises (@p928 @p927) :args (@t131)) 18.76/19.31 (step @p930 :rule trans :premises (@p929 @p926)) 18.76/19.31 (step @p931 :rule refl :args (@t132)) 18.76/19.31 (step @p932 :rule nary_cong :premises (@p931 @p930) :args (@t133)) 18.76/19.31 (step @p933 :rule refl :args (@t137)) 18.76/19.31 (step @p934 :rule cong :premises (@p933 @p932) :args (@t138)) 18.76/19.31 (step @p935 :rule refl :args (@t52)) 18.76/19.31 (step @p936 :rule cong :premises (@p935 @p934) :args (@t139)) 18.76/19.31 (step @p937 :rule cong :premises (@p936) :args (@t140)) 18.76/19.31 (step @p938 :rule trans :premises (@p937 @p922)) 18.76/19.31 (step @p939 :rule cong :premises (@p798 @p938) :args (@t141)) 18.76/19.31 (step @p940 :rule cong :premises (@p939) :args (@t142)) 18.76/19.31 (step @p941 :rule trans :premises (@p940 @p902)) 18.76/19.31 (step @p942 :rule bool-impl-elim :args (@t91 @t143)) 18.76/19.31 (step @p943 :rule cong :premises (@p942) :args (@t145)) 18.76/19.31 (step @p944 :rule bool-impl-elim :args (@t75 @t146)) 18.76/19.31 (step @p945 :rule cong :premises (@p944) :args (@t147)) 18.76/19.31 (step @p946 :rule bool-impl-elim :args (@t91 @t80)) 18.76/19.31 (step @p947 :rule cong :premises (@p946) :args ((forall @t144 (=> @t91 @t80)))) 18.76/19.31 (step @p948 :rule bool-impl-false1 :args (@t75)) 18.76/19.31 (step @p949 :rule cong :premises (@p629 @p948) :args (@t148)) 18.76/19.31 (step @p950 :rule cong :premises (@p949) :args (@t149)) 18.76/19.31 (step @p951 :rule trans :premises (@p950 @p947)) 18.76/19.31 (step @p952 :rule bool-impl-elim :args (@t109 @t150)) 18.76/19.31 (step @p953 :rule cong :premises (@p952) :args (@t151)) 18.76/19.31 (step @p954 :rule nary_cong :premises (@p953 @p951 @p945 @p943 @p941 @p881 @p880 @p879 @p878) :args (@t152)) 18.76/19.31 (step @p955 :rule cong :premises (@p954 @p877) :args (@t153)) 18.76/19.31 (step @p956 :rule cong :premises (@p955) :args (@t155)) 18.76/19.31 (step @p957 :rule trans :premises (@p956 @p546)) 18.76/19.31 (step @p958 :rule refl :args (@t159)) 18.76/19.31 (step @p959 :rule cong :premises (@p958 @p957) :args (@t160)) 18.76/19.31 (step @p960 :rule cong :premises (@p959) :args (@t162)) 18.76/19.31 (step @p961 :rule trans :premises (@p960 @p434)) 18.76/19.31 (step @p962 :rule bool-impl-elim :args (@t167 @t655)) 18.76/19.31 (step @p963 :rule cong :premises (@p962) :args ((forall @t169 (=> @t167 @t655)))) 18.76/19.31 (step @p964 :rule arith_poly_norm :args ((= (* -1 (- @t163 @t166)) (* -1 (- @t654 0))))) 18.76/19.31 (step @p965 :rule arith_poly_norm_rel :premises (@p964) :args ((= (>= @t163 @t166) @t655))) 18.76/19.31 (step @p966 :rule arith-elim-leq :args (@t166 @t163)) 18.76/19.31 (step @p967 :rule trans :premises (@p966 @p965)) 18.76/19.31 (step @p968 :rule refl :args (@t167)) 18.76/19.31 (step @p969 :rule cong :premises (@p968 @p967) :args (@t168)) 18.76/19.31 (step @p970 :rule cong :premises (@p969) :args (@t170)) 18.76/19.31 (step @p971 :rule trans :premises (@p970 @p963)) 18.76/19.31 (step @p972 :rule refl :args (@t171)) 18.76/19.31 (step @p973 :rule nary_cong :premises (@p972 @p971) :args (@t172)) 18.76/19.31 (step @p974 :rule cong :premises (@p973 @p961) :args (@t173)) 18.76/19.31 (step @p975 :rule refl :args (@t178)) 18.76/19.31 (step @p976 :rule bool-impl-elim :args (@t180 @t660)) 18.76/19.31 (step @p977 :rule cong :premises (@p976) :args ((forall @t27 (=> @t180 @t660)))) 18.76/19.31 (step @p978 :rule arith_poly_norm :args ((= (* 1 (- @t179 @t166)) (* 1 (- @t659 0))))) 18.76/19.31 (step @p979 :rule arith_poly_norm_rel :premises (@p978) :args ((= (>= @t179 @t166) @t660))) 18.76/19.31 (step @p980 :rule arith-elim-leq :args (@t166 @t179)) 18.76/19.31 (step @p981 :rule trans :premises (@p980 @p979)) 18.76/19.31 (step @p982 :rule refl :args (@t180)) 18.76/19.31 (step @p983 :rule cong :premises (@p982 @p981) :args (@t181)) 18.76/19.31 (step @p984 :rule cong :premises (@p983) :args (@t182)) 18.76/19.31 (step @p985 :rule trans :premises (@p984 @p977)) 18.76/19.31 (step @p986 :rule refl :args (@t183)) 18.76/19.31 (step @p987 :rule nary_cong :premises (@p986 @p985 @p975) :args (@t184)) 18.76/19.31 (step @p988 :rule cong :premises (@p987 @p974) :args (@t185)) 18.76/19.31 (step @p989 :rule cong :premises (@p988) :args (@t187)) 18.76/19.31 (step @p990 :rule trans :premises (@p989 @p356)) 18.76/19.31 (step @p991 :rule refl :args (@t190)) 18.76/19.31 (step @p992 :rule cong :premises (@p991 @p990) :args (@t191)) 18.76/19.31 (step @p993 :rule eq-symm :args (@t192 tptp.true1)) 18.76/19.31 (step @p994 :rule cong :premises (@p993) :args (@t194)) 18.76/19.31 (step @p995 :rule cong :premises (@p994 @p992) :args (@t195)) 18.76/19.31 (step @p996 :rule eq-symm :args (@t607 @t189)) 18.76/19.31 (step @p997 :rule refl :args (@t189)) 18.76/19.31 (step @p998 :rule cong :premises (@p993 @p997) :args (@t196)) 18.76/19.31 (step @p999 :rule trans :premises (@p998 @p996)) 18.76/19.31 (step @p1000 :rule cong :premises (@p999 @p995) :args (@t197)) 18.76/19.31 (step @p1001 :rule cong :premises (@p1000) :args (@t199)) 18.76/19.31 (step @p1002 :rule trans :premises (@p1001 @p279)) 18.76/19.31 (step @p1003 :rule refl :args (@t200)) 18.76/19.31 (step @p1004 :rule refl :args (@t201)) 18.76/19.31 (step @p1005 :rule refl :args (@t202)) 18.76/19.31 (step @p1006 :rule bool-impl-elim :args (@t205 @t204)) 18.76/19.31 (step @p1007 :rule cong :premises (@p1006) :args (@t206)) 18.76/19.31 (step @p1008 :rule bool-impl-elim :args (@t208 @t207)) 18.76/19.31 (step @p1009 :rule cong :premises (@p1008) :args (@t209)) 18.76/19.31 (step @p1010 :rule aci_norm :args ((= @t1078 @t538))) 18.76/19.31 (step @p1011 :rule cong :premises (@p1010) :args (@t1079)) 18.76/19.31 (step @p1012 :rule quant-merge-prenex :args ((= (forall @t27 @t1081) @t1079))) 18.76/19.31 (step @p1013 :rule alpha_equiv :args (@t1082 (@list @t429) @t1042)) 18.76/19.31 (step @p1014 :rule refl :args (@t537)) 18.76/19.31 (step @p1015 :rule nary_cong :premises (@p1014 @p1013) :args (@t1083)) 18.76/19.31 (step @p1016 :rule quant-miniscope-or :args ((= @t1081 @t1083))) 18.76/19.31 (step @p1017 :rule trans :premises (@p1016 @p1015)) 18.76/19.31 (step @p1018 :rule symm :premises (@p1017)) 18.76/19.31 (step @p1019 :rule cong :premises (@p1018) :args ((forall @t27 (or @t537 @t1087)))) 18.76/19.31 (step @p1020 :rule trans :premises (@p1019 @p1012)) 18.76/19.31 (step @p1021 :rule trans :premises (@p1020 @p1011)) 18.76/19.31 (step @p1022 :rule bool-impl-elim :args (@t216 @t1087)) 18.76/19.31 (step @p1023 :rule cong :premises (@p1022) :args ((forall @t27 (=> @t216 @t1087)))) 18.76/19.31 (step @p1024 :rule trans :premises (@p1023 @p1021)) 18.76/19.31 (step @p1025 :rule bool-impl-elim :args (@t52 @t1086)) 18.76/19.31 (step @p1026 :rule cong :premises (@p1025) :args ((forall @t53 (=> @t52 @t1086)))) 18.76/19.31 (step @p1027 :rule arith_poly_norm :args ((= (* 1 (- @t210 @t211)) (* 1 (- @t1084 0))))) 18.76/19.31 (step @p1028 :rule arith_poly_norm_rel :premises (@p1027) :args ((= (>= @t210 @t211) @t1085))) 18.76/19.31 (step @p1029 :rule arith-elim-leq :args (@t211 @t210)) 18.76/19.31 (step @p1030 :rule trans :premises (@p1029 @p1028)) 18.76/19.31 (step @p1031 :rule refl :args (@t212)) 18.76/19.31 (step @p1032 :rule nary_cong :premises (@p1031 @p1030) :args (@t213)) 18.76/19.31 (step @p1033 :rule cong :premises (@p935 @p1032) :args (@t214)) 18.76/19.31 (step @p1034 :rule cong :premises (@p1033) :args (@t215)) 18.76/19.31 (step @p1035 :rule trans :premises (@p1034 @p1026)) 18.76/19.31 (step @p1036 :rule refl :args (@t216)) 18.76/19.31 (step @p1037 :rule cong :premises (@p1036 @p1035) :args (@t217)) 18.76/19.31 (step @p1038 :rule cong :premises (@p1037) :args (@t218)) 18.76/19.31 (step @p1039 :rule trans :premises (@p1038 @p1024)) 18.76/19.31 (step @p1040 :rule aci_norm :args ((= @t1089 @t550))) 18.76/19.31 (step @p1041 :rule cong :premises (@p1040) :args (@t1090)) 18.76/19.31 (step @p1042 :rule quant-merge-prenex :args ((= (forall @t233 @t1092) @t1090))) 18.76/19.31 (step @p1043 :rule alpha_equiv :args (@t1093 (@list @t444 @t447) (@list @t22 @t222))) 18.76/19.31 (step @p1044 :rule refl :args (@t544)) 18.76/19.31 (step @p1045 :rule refl :args (@t549)) 18.76/19.31 (step @p1046 :rule nary_cong :premises (@p1045 @p1044 @p1043) :args (@t1094)) 18.76/19.31 (step @p1047 :rule quant-miniscope-or :args ((= @t1092 @t1094))) 18.76/19.31 (step @p1048 :rule trans :premises (@p1047 @p1046)) 18.76/19.31 (step @p1049 :rule symm :premises (@p1048)) 18.76/19.31 (step @p1050 :rule cong :premises (@p1049) :args ((forall @t233 @t1100))) 18.76/19.31 (step @p1051 :rule trans :premises (@p1050 @p1042)) 18.76/19.31 (step @p1052 :rule trans :premises (@p1051 @p1041)) 18.76/19.31 (step @p1053 :rule aci_norm :args ((= (or (or @t549 @t544) @t1099) @t1100))) 18.76/19.31 (step @p1054 :rule refl :args (@t1099)) 18.76/19.31 (step @p1055 :rule bool-and-de-morgan :args (@t548 @t228 true)) 18.76/19.31 (step @p1056 :rule nary_cong :premises (@p1055 @p1054) :args ((or (not @t1101) @t1099))) 18.76/19.31 (step @p1057 :rule trans :premises (@p1056 @p1053)) 18.76/19.31 (step @p1058 :rule bool-impl-elim :args (@t1101 @t1099)) 18.76/19.31 (step @p1059 :rule trans :premises (@p1058 @p1057)) 18.76/19.31 (step @p1060 :rule cong :premises (@p1059) :args ((forall @t233 (=> @t1101 @t1099)))) 18.76/19.31 (step @p1061 :rule trans :premises (@p1060 @p1052)) 18.76/19.31 (step @p1062 :rule aci_norm :args ((= (or @t1097 (or @t1096 @t216)) @t1098))) 18.76/19.31 (step @p1063 :rule refl :args (@t216)) 18.76/19.31 (step @p1064 :rule bool-double-not-elim :args (@t1096)) 18.76/19.31 (step @p1065 :rule nary_cong :premises (@p1064 @p1063) :args ((or (not @t1102) @t216))) 18.76/19.31 (step @p1066 :rule bool-impl-elim :args (@t1102 @t216)) 18.76/19.31 (step @p1067 :rule trans :premises (@p1066 @p1065)) 18.76/19.31 (step @p1068 :rule refl :args (@t1097)) 18.76/19.31 (step @p1069 :rule nary_cong :premises (@p1068 @p1067) :args ((or @t1097 @t1103))) 18.76/19.31 (step @p1070 :rule trans :premises (@p1069 @p1062)) 18.76/19.31 (step @p1071 :rule bool-impl-elim :args (@t224 @t1103)) 18.76/19.31 (step @p1072 :rule trans :premises (@p1071 @p1070)) 18.76/19.31 (step @p1073 :rule cong :premises (@p1072) :args ((forall @t226 (=> @t224 @t1103)))) 18.76/19.31 (step @p1074 :rule arith_poly_norm :args ((= (* -1 (- @t222 @t221)) (* -1 (- @t1095 0))))) 18.76/19.31 (step @p1075 :rule arith_poly_norm_rel :premises (@p1074) :args ((= @t1104 @t1096))) 18.76/19.31 (step @p1076 :rule cong :premises (@p1075) :args ((not @t1104))) 18.76/19.31 (step @p1077 :rule arith-elim-lt :args (@t222 @t221)) 18.76/19.31 (step @p1078 :rule trans :premises (@p1077 @p1076)) 18.76/19.31 (step @p1079 :rule cong :premises (@p1078 @p1036) :args (@t223)) 18.76/19.31 (step @p1080 :rule refl :args (@t224)) 18.76/19.31 (step @p1081 :rule cong :premises (@p1080 @p1079) :args (@t225)) 18.76/19.31 (step @p1082 :rule cong :premises (@p1081) :args (@t227)) 18.76/19.31 (step @p1083 :rule trans :premises (@p1082 @p1073)) 18.76/19.31 (step @p1084 :rule refl :args (@t228)) 18.76/19.31 (step @p1085 :rule bool-impl-elim :args (@t180 @t547)) 18.76/19.31 (step @p1086 :rule cong :premises (@p1085) :args ((forall @t27 (=> @t180 @t547)))) 18.76/19.31 (step @p1087 :rule arith_poly_norm :args ((= (* -1 (- @t221 @t1105)) (* -1 (- @t545 1))))) 18.76/19.31 (step @p1088 :rule arith_poly_norm_rel :premises (@p1087) :args ((= @t1106 @t546))) 18.76/19.31 (step @p1089 :rule cong :premises (@p1088) :args ((not @t1106))) 18.76/19.31 (step @p1090 :rule arith-leq-norm :args (@t221 @t179)) 18.76/19.31 (step @p1091 :rule trans :premises (@p1090 @p1089)) 18.76/19.31 (step @p1092 :rule cong :premises (@p982 @p1091) :args (@t229)) 18.76/19.31 (step @p1093 :rule cong :premises (@p1092) :args (@t230)) 18.76/19.31 (step @p1094 :rule trans :premises (@p1093 @p1086)) 18.76/19.31 (step @p1095 :rule nary_cong :premises (@p1094 @p1084) :args (@t231)) 18.76/19.31 (step @p1096 :rule cong :premises (@p1095 @p1083) :args (@t232)) 18.76/19.31 (step @p1097 :rule cong :premises (@p1096) :args (@t234)) 18.76/19.31 (step @p1098 :rule trans :premises (@p1097 @p1061)) 18.76/19.31 (step @p1099 :rule bool-impl-elim :args (@t208 @t530)) 18.76/19.31 (step @p1100 :rule cong :premises (@p1099) :args ((forall @t144 (=> @t208 @t530)))) 18.76/19.31 (step @p1101 :rule bool-impl-false1 :args (@t205)) 18.76/19.31 (step @p1102 :rule refl :args (@t208)) 18.76/19.31 (step @p1103 :rule cong :premises (@p1102 @p1101) :args (@t235)) 18.76/19.31 (step @p1104 :rule cong :premises (@p1103) :args (@t236)) 18.76/19.31 (step @p1105 :rule trans :premises (@p1104 @p1100)) 18.76/19.31 (step @p1106 :rule refl :args (@t237)) 18.76/19.31 (step @p1107 :rule nary_cong :premises (@p1106 @p1105 @p1098 @p1039 @p1009 @p1007 @p1005 @p1004 @p1003) :args (@t238)) 18.76/19.31 (step @p1108 :rule cong :premises (@p1107 @p1002) :args (@t239)) 18.76/19.31 (step @p1109 :rule cong :premises (@p1108) :args (@t241)) 18.76/19.31 (step @p1110 :rule trans :premises (@p1109 @p252)) 18.76/19.31 (step @p1111 :rule refl :args (@t252)) 18.76/19.31 (step @p1112 :rule cong :premises (@p1111 @p1110) :args (@t253)) 18.76/19.31 (step @p1113 :rule cong :premises (@p1112) :args (@t255)) 18.76/19.31 (step @p1114 :rule trans :premises (@p1113 @p198)) 18.76/19.31 (step @p1115 :rule refl :args (@t260)) 18.76/19.31 (step @p1116 :rule cong :premises (@p1115 @p1114) :args (@t261)) 18.76/19.31 (step @p1117 :rule cong :premises (@p1116) :args (@t263)) 18.76/19.31 (step @p1118 :rule trans :premises (@p1117 @p156)) 18.76/19.31 (step @p1119 :rule cong :premises (@p1118) :args (@t264)) 18.76/19.31 (step @p1120 :rule eq_resolve :premises (@p8 @p1119)) 18.76/19.31 (step @p1121 :rule not_or_elim :premises (@p1120) :args (2)) 18.76/19.31 (step @p1122 :rule skolemize :premises (@p1121)) 18.76/19.31 (step @p1123 :rule cnf_or_neg :args (@t1185 26)) 18.76/19.31 (step @p1124 :rule chain_resolution :premises (@p1123 @p1122) :args (@t1186 @t1187)) 18.76/19.31 (step @p1125 :rule bool-double-not-elim :args (@t1152)) 18.76/19.31 (step @p1126 :rule refl :args (@t1154)) 18.76/19.31 (step @p1127 :rule nary_cong :premises (@p1126 @p1125) :args ((or @t1154 (not @t1153)))) 18.76/19.31 (step @p1128 :rule cnf_or_neg :args (@t1154 0)) 18.76/19.31 (step @p1129 :rule eq_resolve :premises (@p1128 @p1127)) 18.76/19.31 (step @p1130 :rule reordering :premises (@p1129) :args ((or @t1152 @t1154))) 18.76/19.31 (step @p1131 :rule bool-double-not-elim :args (@t1148)) 18.76/19.31 (step @p1132 :rule nary_cong :premises (@p1126 @p1131) :args ((or @t1154 @t1188))) 18.76/19.31 (step @p1133 :rule cnf_or_neg :args (@t1154 2)) 18.76/19.31 (step @p1134 :rule eq_resolve :premises (@p1133 @p1132)) 18.76/19.31 (step @p1135 :rule reordering :premises (@p1134) :args ((or @t1148 @t1154))) 18.76/19.31 (step @p1136 :rule cnf_or_neg :args (@t1185 32)) 18.76/19.31 (step @p1137 :rule chain_resolution :premises (@p1136 @p1122) :args (@t1186 @t1187)) 18.76/19.31 (step @p1138 :rule refl :args (@t1190)) 18.76/19.31 (step @p1139 :rule bool-double-not-elim :args (@t1116)) 18.76/19.31 (step @p1140 :rule refl :args (@t1149)) 18.76/19.31 (step @p1141 :rule nary_cong :premises (@p1140 @p1139 @p1138) :args ((or @t1149 @t1192 @t1190))) 18.76/19.31 (assume-push @p1498 @t1148) 18.76/19.31 (assume-push @p1499 @t1191) 18.76/19.31 (assume-push @p1500 @t1191) 18.76/19.31 (assume-push @p1501 @t1148) 18.76/19.31 (step @p1146 :rule false_intro :premises (@p1137)) 18.76/19.31 (step @p1147 :rule cong :premises (@p1498) :args (@t1161)) 18.76/19.31 (step @p1148 :rule refl :args (@t1115)) 18.76/19.31 (step @p1149 :rule cong :premises (@p450 @p1148 @p1147) :args (@t1189)) 18.76/19.31 (step @p1150 :rule trans :premises (@p1149 @p1146)) 18.76/19.31 (step @p1151 :rule false_elim :premises (@p1150)) 18.76/19.31 (step-pop @p1501 :rule scope :premises (@p1151)) 18.76/19.31 (step-pop @p1502 :rule scope :premises (@p1501)) 18.76/19.31 (step @p1152 :rule process_scope :premises (@p1502) :args (@t1190)) 18.76/19.31 (step @p1155 :rule and_intro :premises (@p1137 @p1498)) 18.76/19.31 (step @p1156 :rule modus_ponens :premises (@p1155 @p1152)) 18.76/19.31 (step-pop @p1503 :rule scope :premises (@p1156)) 18.76/19.31 (step-pop @p1504 :rule scope :premises (@p1503)) 18.76/19.31 (step @p1157 :rule process_scope :premises (@p1504) :args (@t1190)) 18.76/19.31 (step @p1160 :rule implies_elim :premises (@p1157)) 18.76/19.31 (step @p1161 :rule cnf_and_neg :args (@t1193)) 18.76/19.31 (step @p1162 :rule resolution :premises (@p1161 @p1160) :args (true @t1193)) 18.76/19.31 (step @p1163 :rule eq_resolve :premises (@p1162 @p1141)) 18.76/19.31 (step @p1164 :rule cnf_or_neg :args (@t1195 0)) 18.76/19.31 (step @p1165 :rule reordering :premises (@p1164) :args ((or @t1190 @t1195))) 18.76/19.31 (step @p1166 :rule cnf_or_neg :args (@t1195 1)) 18.76/19.31 (step @p1167 :rule cnf_or_neg :args (@t1185 31)) 18.76/19.31 (step @p1168 :rule chain_resolution :premises (@p1167 @p1122) :args (@t1186 @t1187)) 18.76/19.31 (step @p1169 :rule cnf_or_pos :args (@t1196)) 18.76/19.31 (step @p1170 :rule reordering :premises (@p1169) :args ((or @t1124 @t1189 (not @t1196)))) 18.76/19.31 (step @p1171 :rule cnf_and_pos :args (@t1197 0)) 18.76/19.31 (step @p1172 :rule reordering :premises (@p1171) :args ((or @t1196 (not @t1197)))) 18.76/19.31 (step @p1173 :rule bool-double-not-elim :args (@t1139)) 18.76/19.31 (step @p1174 :rule refl :args (@t1185)) 18.76/19.31 (step @p1175 :rule nary_cong :premises (@p1174 @p1173) :args ((or @t1185 (not @t1140)))) 18.76/19.31 (step @p1176 :rule cnf_or_neg :args (@t1185 28)) 18.76/19.31 (step @p1177 :rule eq_resolve :premises (@p1176 @p1175)) 18.76/19.31 (step @p1178 :rule reordering :premises (@p1177) :args ((or @t1139 @t1185))) 18.76/19.31 (step @p1179 :rule chain_resolution :premises (@p1178 @p1122) :args (@t1186 @t1187)) 18.76/19.31 (step @p1180 :rule bool-double-not-elim :args (@t1136)) 18.76/19.31 (step @p1181 :rule nary_cong :premises (@p1174 @p1180) :args ((or @t1185 (not @t1137)))) 18.76/19.31 (step @p1182 :rule cnf_or_neg :args (@t1185 29)) 18.76/19.31 (step @p1183 :rule eq_resolve :premises (@p1182 @p1181)) 18.76/19.31 (step @p1184 :rule reordering :premises (@p1183) :args ((or @t1136 @t1185))) 18.76/19.31 (step @p1185 :rule chain_resolution :premises (@p1184 @p1122) :args (@t1186 @t1187)) 18.76/19.31 (step @p1186 :rule bool-double-not-elim :args (@t1172)) 18.76/19.31 (step @p1187 :rule nary_cong :premises (@p1174 @p1186) :args ((or @t1185 (not @t1173)))) 18.76/19.31 (step @p1188 :rule cnf_or_neg :args (@t1185 20)) 18.76/19.31 (step @p1189 :rule eq_resolve :premises (@p1188 @p1187)) 18.76/19.31 (step @p1190 :rule reordering :premises (@p1189) :args ((or @t1172 @t1185))) 18.76/19.31 (step @p1191 :rule chain_resolution :premises (@p1190 @p1122) :args (@t1186 @t1187)) 18.76/19.31 (step @p1192 :rule refl :args (@t1197)) 18.76/19.31 (step @p1193 :rule refl :args (@t1198)) 18.76/19.31 (step @p1194 :rule eq-symm :args (@t1125 @t1119)) 18.76/19.31 (step @p1195 :rule cong :premises (@p1194) :args (@t1200)) 18.76/19.31 (step @p1196 :rule nary_cong :premises (@p1195 @p1193) :args (@t1201)) 18.76/19.31 (step @p1197 :rule nary_cong :premises (@p1194 @p1196) :args (@t1202)) 18.76/19.31 (step @p1198 :rule refl :args (@t1137)) 18.76/19.31 (step @p1199 :rule refl :args (@t1140)) 18.76/19.31 (step @p1200 :rule nary_cong :premises (@p1199 @p1198 @p1197 @p1192) :args (@t1203)) 18.76/19.31 (step @p1201 :rule refl :args (@t1172)) 18.76/19.31 (step @p1202 :rule cong :premises (@p1201 @p1200) :args ((=> @t1172 @t1203))) 18.76/19.31 (assume-push @p1506 @t1172) 18.76/19.31 (step @p1204 :rule instantiate :premises (@p1191) :args ((@list @t1125 @t1114))) 18.76/19.31 (step-pop @p1506 :rule scope :premises (@p1204)) 18.76/19.31 (step @p1205 :rule process_scope :premises (@p1506) :args (@t1203)) 18.76/19.31 (step @p1207 :rule eq_resolve :premises (@p1205 @p1202)) 18.76/19.31 (step @p1208 :rule implies_elim :premises (@p1207)) 18.76/19.31 (step @p1209 :rule chain_resolution :premises (@p1208 @p1191) :args (@t1204 (@list @t1172))) 18.76/19.31 (step @p1210 :rule cnf_or_pos :args (@t1207)) 18.76/19.31 (step @p1211 :rule reordering :premises (@p1210) :args ((or @t1140 @t1137 @t1197 @t1206 (not @t1207)))) 18.76/19.31 (step @p1212 :rule cnf_and_pos :args (@t1206 0)) 18.76/19.31 (step @p1213 :rule reordering :premises (@p1212) :args ((or @t1126 @t1208))) 18.76/19.31 (step @p1214 :rule cnf_and_pos :args (@t1206 1)) 18.76/19.31 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t1205 @t1208))) 18.76/19.31 (step @p1216 :rule cnf_or_neg :args (@t1185 30)) 18.76/19.31 (step @p1217 :rule chain_resolution :premises (@p1216 @p1122) :args (@t1186 @t1187)) 18.76/19.31 (step @p1218 :rule cnf_and_neg :args (@t1135)) 18.76/19.31 (step @p1219 :rule reordering :premises (@p1218) :args ((or @t1127 @t1135 (not @t1134)))) 18.76/19.31 (step @p1220 :rule cnf_or_pos :args (@t1205)) 18.76/19.31 (step @p1221 :rule reordering :premises (@p1220) :args ((or @t1127 @t1198 (not @t1205)))) 18.76/19.31 (step @p1222 :rule cnf_or_neg :args (@t1134 0)) 18.76/19.31 (step @p1223 :rule refl :args (@t1209)) 18.76/19.31 (step @p1224 :rule bool-double-not-elim :args (@t1194)) 18.76/19.31 (step @p1225 :rule refl :args (@t1211)) 18.76/19.31 (step @p1226 :rule nary_cong :premises (@p1225 @p1224 @p1223) :args ((or @t1211 (not @t1210) @t1209))) 18.76/19.31 (step @p1227 :rule cnf_and_neg :args (@t1211)) 18.76/19.31 (step @p1228 :rule eq_resolve :premises (@p1227 @p1226)) 18.76/19.31 (step @p1229 :rule reordering :premises (@p1228) :args ((or @t1209 @t1194 @t1211))) 18.76/19.31 (step @p1230 :rule aci_norm :args ((= (or @t1213 (or @t1212 @t336)) @t1214))) 18.76/19.31 (step @p1231 :rule bool-impl-elim :args (@t17 @t336)) 18.76/19.31 (step @p1232 :rule refl :args (@t1213)) 18.76/19.31 (step @p1233 :rule nary_cong :premises (@p1232 @p1231) :args ((or @t1213 @t337))) 18.76/19.31 (step @p1234 :rule trans :premises (@p1233 @p1230)) 18.76/19.31 (step @p1235 :rule bool-impl-elim :args (@t19 @t337)) 18.76/19.31 (step @p1236 :rule trans :premises (@p1235 @p1234)) 18.76/19.31 (step @p1237 :rule cong :premises (@p1236) :args (@t339)) 18.76/19.31 (step @p1238 :rule eq_resolve :premises (@p69 @p1237)) 18.76/19.31 (step @p1239 :rule eq-symm :args (@t1115 @t1130)) 18.76/19.31 (step @p1240 :rule cong :premises (@p1239) :args (@t1216)) 18.76/19.31 (step @p1241 :rule nary_cong :premises (@p1240 @p1193) :args (@t1217)) 18.76/19.31 (step @p1242 :rule refl :args (@t1218)) 18.76/19.31 (step @p1243 :rule cong :premises (@p1242 @p1241) :args ((= @t1218 @t1217))) 18.76/19.31 (step @p1244 :rule eq-symm :args (@t1217 @t1218)) 18.76/19.31 (step @p1245 :rule trans :premises (@p1244 @p1243)) 18.76/19.31 (step @p1246 :rule refl :args (@t1220)) 18.76/19.31 (step @p1247 :rule refl :args (@t1222)) 18.76/19.31 (step @p1248 :rule nary_cong :premises (@p1247 @p1246 @p1245) :args (@t1223)) 18.76/19.31 (step @p1249 :rule refl :args (@t1224)) 18.76/19.31 (step @p1250 :rule cong :premises (@p1249 @p1248) :args ((=> @t1224 @t1223))) 18.76/19.31 (assume-push @p1508 @t1224) 18.76/19.31 (step @p1252 :rule instantiate :premises (@p1238) :args ((@list tptp.vertex @t1115 @t1130 @t1128))) 18.76/19.31 (step-pop @p1508 :rule scope :premises (@p1252)) 18.76/19.31 (step @p1253 :rule process_scope :premises (@p1508) :args (@t1223)) 18.76/19.31 (step @p1255 :rule eq_resolve :premises (@p1253 @p1250)) 18.76/19.31 (step @p1256 :rule implies_elim :premises (@p1255)) 18.76/19.31 (step @p1257 :rule chain_resolution :premises (@p1256 @p1238) :args (@t1204 (@list @t1224))) 18.76/19.31 (step @p1258 :rule instantiate :premises (@p18) :args ((@list @t1114))) 18.76/19.31 (step @p1259 :rule instantiate :premises (@p18) :args ((@list @t1129))) 18.76/19.31 (step @p1260 :rule cnf_or_pos :args (@t1226)) 18.76/19.31 (step @p1261 :rule reordering :premises (@p1260) :args ((or @t1220 @t1222 @t1225 (not @t1226)))) 18.76/19.31 (step @p1262 :rule chain_resolution :premises (@p1261 @p1259 @p1258 @p1257) :args (@t1227 (@list @t1219 @t1221 @t1226))) 18.76/19.31 (step @p1263 :rule cnf_equiv_pos2 :args (@t1225)) 18.76/19.31 (step @p1264 :rule reordering :premises (@p1263) :args ((or @t1218 (not @t1211) (not @t1225)))) 18.76/19.31 (step @p1265 :rule bool-impl-elim :args (@t332 @t1228)) 18.76/19.31 (step @p1266 :rule cong :premises (@p1265) :args ((forall @t4 (=> @t332 @t1228)))) 18.76/19.31 (step @p1267 :rule eq-symm :args (@t331 @t3)) 18.76/19.31 (step @p1268 :rule refl :args (@t332)) 18.76/19.31 (step @p1269 :rule cong :premises (@p1268 @p1267) :args (@t333)) 18.76/19.31 (step @p1270 :rule cong :premises (@p1269) :args (@t334)) 18.76/19.31 (step @p1271 :rule trans :premises (@p1270 @p1266)) 18.76/19.31 (step @p1272 :rule eq_resolve :premises (@p61 @p1271)) 18.76/19.31 (step @p1273 :rule instantiate :premises (@p1272) :args ((@list @t1131))) 18.76/19.31 (step @p1274 :rule instantiate :premises (@p63) :args ((@list tptp.vertex @t1130 @t1128))) 18.76/19.31 (step @p1275 :rule cnf_or_pos :args (@t1232)) 18.76/19.31 (step @p1276 :rule reordering :premises (@p1275) :args ((or @t1231 @t1229 (not @t1232)))) 18.76/19.31 (step @p1277 :rule chain_resolution :premises (@p1276 @p1274 @p1273) :args (@t1233 (@list @t1230 @t1232))) 18.76/19.31 (step @p1278 :rule refl :args (@t1234)) 18.76/19.31 (step @p1279 :rule refl :args (@t1235)) 18.76/19.31 (step @p1280 :rule bool-double-not-elim :args (@t1133)) 18.76/19.31 (step @p1281 :rule nary_cong :premises (@p1280 @p1279 @p1278) :args ((or (not @t1236) @t1235 @t1234))) 18.76/19.31 (assume-push @p1510 @t1236) 18.76/19.31 (assume-push @p1511 @t1229) 18.76/19.31 (assume-push @p1512 @t1236) 18.76/19.31 (assume-push @p1513 @t1229) 18.76/19.31 (step @p1286 :rule false_intro :premises (@p1510)) 18.76/19.31 (step @p1148 :rule refl :args (@t1115)) 18.76/19.31 (step @p1287 :rule cong :premises (@p450 @p1148 @p1277) :args (@t1218)) 18.76/19.31 (step @p1288 :rule trans :premises (@p1287 @p1286)) 18.76/19.31 (step @p1289 :rule false_elim :premises (@p1288)) 18.76/19.31 (step-pop @p1513 :rule scope :premises (@p1289)) 18.76/19.31 (step-pop @p1514 :rule scope :premises (@p1513)) 18.76/19.31 (step @p1290 :rule process_scope :premises (@p1514) :args (@t1234)) 18.76/19.31 (step @p1293 :rule and_intro :premises (@p1510 @p1277)) 18.76/19.31 (step @p1294 :rule modus_ponens :premises (@p1293 @p1290)) 18.76/19.31 (step-pop @p1515 :rule scope :premises (@p1294)) 18.76/19.31 (step-pop @p1516 :rule scope :premises (@p1515)) 18.76/19.31 (step @p1295 :rule process_scope :premises (@p1516) :args (@t1234)) 18.76/19.31 (step @p1298 :rule implies_elim :premises (@p1295)) 18.76/19.31 (step @p1299 :rule cnf_and_neg :args (@t1237)) 18.76/19.31 (step @p1300 :rule resolution :premises (@p1299 @p1298) :args (true @t1237)) 18.76/19.31 (step @p1301 :rule eq_resolve :premises (@p1300 @p1281)) 18.76/19.31 (step @p1302 :rule chain_resolution :premises (@p1301 @p1277 @p1264 @p1262 @p1229 @p1222 @p1221 @p1219 @p1217 @p1215) :args ((@list false false false false true false true true false) (@list @t1229 @t1218 @t1225 @t1211 @t1133 @t1198 @t1134 @t1135 @t1205))) 18.76/19.31 (step @p1303 :rule factoring :premises (@p1302)) 18.76/19.31 (step @p1304 :rule chain_resolution :premises (@p1303 @p1213) :args (@t1204 (@list @t1126))) 18.76/19.31 (step @p1305 :rule factoring :premises (@p1304)) 18.76/19.31 (step @p1306 :rule chain_resolution :premises (@p1305 @p1211 @p1209 @p1185 @p1179 @p1172 @p1170 @p1168 @p1166 @p1165) :args ((@list false false false false true true true true true) (@list @t1206 @t1207 @t1136 @t1139 @t1197 @t1196 @t1124 @t1194 @t1189))) 18.76/19.31 (step @p1307 :rule factoring :premises (@p1306)) 18.76/19.31 (step @p1308 :rule cnf_or_pos :args (@t1195)) 18.76/19.31 (step @p1309 :rule reordering :premises (@p1308) :args ((or @t1189 @t1194 @t1238))) 18.76/19.31 (step @p1310 :rule instantiate :premises (@p1272) :args ((@list @t1121))) 18.76/19.31 (step @p1311 :rule instantiate :premises (@p24) :args ((@list tptp.vertex @t1120 @t1118))) 18.76/19.31 (step @p1312 :rule cnf_or_pos :args (@t1242)) 18.76/19.31 (step @p1313 :rule reordering :premises (@p1312) :args ((or @t1241 @t1239 (not @t1242)))) 18.76/19.31 (step @p1314 :rule chain_resolution :premises (@p1313 @p1311 @p1310) :args (@t1233 (@list @t1240 @t1242))) 18.76/19.31 (step @p1315 :rule refl :args (@t1210)) 18.76/19.31 (step @p1316 :rule refl :args (@t1243)) 18.76/19.31 (step @p1317 :rule bool-double-not-elim :args (@t1124)) 18.76/19.31 (step @p1318 :rule refl :args (@t1153)) 18.76/19.31 (step @p1319 :rule nary_cong :premises (@p1318 @p1317 @p1316 @p1315) :args ((or @t1153 (not @t1244) @t1243 @t1210))) 18.76/19.31 (assume-push @p1518 @t1152) 18.76/19.31 (assume-push @p1519 @t1194) 18.76/19.31 (assume-push @p1520 @t1239) 18.76/19.31 (assume-push @p1521 @t1244) 18.76/19.31 (step @p1324 :rule evaluate :args (@t1245)) 18.76/19.31 (step @p1325 :rule true_intro :premises (@p1518)) 18.76/19.31 (step @p1326 :rule symm :premises (@p1519)) 18.76/19.31 (step @p1327 :rule cong :premises (@p450 @p1326 @p1314) :args ((tptp.mem tptp.vertex @t1115 @t1121))) 18.76/19.31 (step @p1328 :rule symm :premises (@p1314)) 18.76/19.31 (step @p1148 :rule refl :args (@t1115)) 18.76/19.31 (step @p1329 :rule cong :premises (@p450 @p1148 @p1328) :args (@t1124)) 18.76/19.31 (step @p1330 :rule false_intro :premises (@p1168)) 18.76/19.31 (step @p1331 :rule symm :premises (@p1330)) 18.76/19.31 (step @p1332 :rule trans :premises (@p1331 @p1329 @p1327 @p1325)) 18.76/19.31 (step @p1333 false :rule eq_resolve :premises (@p1332 @p1324)) 18.76/19.31 (step-pop @p1521 :rule scope :premises (@p1333)) 18.76/19.31 (step-pop @p1522 :rule scope :premises (@p1521)) 18.76/19.31 (step-pop @p1523 :rule scope :premises (@p1522)) 18.76/19.31 (step-pop @p1524 :rule scope :premises (@p1523)) 18.76/19.31 (step @p1334 :rule process_scope :premises (@p1524) :args (false)) 18.76/19.31 (assume-push @p1526 @t1152) 18.76/19.31 (assume-push @p1527 @t1244) 18.76/19.31 (assume-push @p1528 @t1239) 18.76/19.31 (assume-push @p1529 @t1194) 18.76/19.31 (step @p1343 :rule and_intro :premises (@p1526 @p1529 @p1314 @p1168)) 18.76/19.31 (step-pop @p1529 :rule scope :premises (@p1343)) 18.76/19.31 (step-pop @p1530 :rule scope :premises (@p1529)) 18.76/19.31 (step-pop @p1531 :rule scope :premises (@p1530)) 18.76/19.31 (step-pop @p1532 :rule scope :premises (@p1531)) 18.76/19.31 (step @p1344 :rule process_scope :premises (@p1532) :args (@t1246)) 18.76/19.31 (step @p1349 :rule implies_elim :premises (@p1344)) 18.76/19.31 (step @p1350 :rule resolution :premises (@p1349 @p1334) :args (true @t1246)) 18.76/19.31 (step @p1351 :rule not_and :premises (@p1350)) 18.76/19.31 (step @p1352 :rule eq_resolve :premises (@p1351 @p1319)) 18.76/19.31 (step @p1353 :rule chain_resolution :premises (@p1352 @p1314 @p1168 @p1309 @p1307 @p1163 @p1137 @p1135 @p1130) :args ((@list false true false false true true false false) (@list @t1239 @t1124 @t1194 @t1195 @t1189 @t1116 @t1148 @t1152))) 18.76/19.31 (step @p1354 :rule factoring :premises (@p1353)) 18.76/19.31 (step @p1355 :rule quant-merge-prenex :args ((= (forall @t20 @t1252) @t1250))) 18.76/19.31 (step @p1356 :rule alpha_equiv :args (@t1253 (@list @t1247) (@list @t14))) 18.76/19.31 (step @p1357 :rule refl :args (@t1212)) 18.76/19.31 (step @p1358 :rule nary_cong :premises (@p1232 @p1357 @p1356) :args (@t1254)) 18.76/19.31 (step @p1359 :rule quant-miniscope-or :args ((= @t1252 @t1254))) 18.76/19.31 (step @p1360 :rule trans :premises (@p1359 @p1358)) 18.76/19.31 (step @p1361 :rule symm :premises (@p1360)) 18.76/19.31 (step @p1362 :rule cong :premises (@p1361) :args ((forall @t20 @t1255))) 18.76/19.31 (step @p1363 :rule trans :premises (@p1362 @p1355)) 18.76/19.31 (step @p1364 :rule aci_norm :args ((= (or @t1213 (or @t1212 @t16)) @t1255))) 18.76/19.31 (step @p1365 :rule bool-impl-elim :args (@t17 @t16)) 18.76/19.31 (step @p1366 :rule nary_cong :premises (@p1232 @p1365) :args ((or @t1213 @t18))) 18.76/19.31 (step @p1367 :rule trans :premises (@p1366 @p1364)) 18.76/19.31 (step @p1368 :rule bool-impl-elim :args (@t19 @t18)) 18.76/19.31 (step @p1369 :rule trans :premises (@p1368 @p1367)) 18.76/19.31 (step @p1370 :rule cong :premises (@p1369) :args (@t21)) 18.76/19.31 (step @p1371 :rule trans :premises (@p1370 @p1363)) 18.76/19.31 (step @p1372 :rule eq_resolve :premises (@p6 @p1371)) 18.76/19.31 (step @p1373 :rule refl :args (@t1189)) 18.76/19.31 (step @p1374 :rule nary_cong :premises (@p1373 @p1239) :args (@t1256)) 18.76/19.31 (step @p1375 :rule refl :args (@t1257)) 18.76/19.31 (step @p1376 :rule cong :premises (@p1375 @p1374) :args (@t1258)) 18.76/19.31 (step @p1377 :rule nary_cong :premises (@p1247 @p1246 @p1376) :args (@t1259)) 18.76/19.31 (step @p1378 :rule refl :args (@t1250)) 18.76/19.31 (step @p1379 :rule cong :premises (@p1378 @p1377) :args ((=> @t1250 @t1259))) 18.76/19.31 (assume-push @p1534 @t1250) 18.76/19.31 (step @p1381 :rule instantiate :premises (@p1372) :args ((@list tptp.vertex @t1115 @t1130 @t1161))) 18.76/19.31 (step-pop @p1534 :rule scope :premises (@p1381)) 18.76/19.31 (step @p1382 :rule process_scope :premises (@p1534) :args (@t1259)) 18.76/19.31 (step @p1384 :rule eq_resolve :premises (@p1382 @p1379)) 18.76/19.31 (step @p1385 :rule implies_elim :premises (@p1384)) 18.76/19.31 (step @p1386 :rule chain_resolution :premises (@p1385 @p1372) :args (@t1204 (@list @t1250))) 18.76/19.31 (step @p1387 :rule cnf_or_pos :args (@t1261)) 18.76/19.31 (step @p1388 :rule reordering :premises (@p1387) :args ((or @t1220 @t1222 @t1260 (not @t1261)))) 18.76/19.31 (step @p1389 :rule chain_resolution :premises (@p1388 @p1259 @p1258 @p1386) :args (@t1227 (@list @t1219 @t1221 @t1261))) 18.76/19.31 (step @p1390 :rule cnf_equiv_pos2 :args (@t1260)) 18.76/19.31 (step @p1391 :rule reordering :premises (@p1390) :args ((or @t1257 @t1238 (not @t1260)))) 18.76/19.31 (step @p1392 :rule chain_resolution :premises (@p1391 @p1307 @p1389) :args (@t1233 (@list @t1195 @t1260))) 18.76/19.31 (step @p1393 :rule instantiate :premises (@p1272) :args ((@list @t1162))) 18.76/19.31 (step @p1394 :rule instantiate :premises (@p24) :args ((@list tptp.vertex @t1130 @t1161))) 18.76/19.31 (step @p1395 :rule cnf_or_pos :args (@t1265)) 18.76/19.31 (step @p1396 :rule reordering :premises (@p1395) :args ((or @t1264 @t1262 (not @t1265)))) 18.76/19.31 (step @p1397 :rule chain_resolution :premises (@p1396 @p1394 @p1393) :args (@t1233 (@list @t1263 @t1265))) 18.76/19.31 (step @p1398 :rule refl :args (@t1266)) 18.76/19.31 (step @p1399 :rule refl :args (@t1267)) 18.76/19.31 (step @p1400 :rule refl :args (@t1165)) 18.76/19.31 (step @p1401 :rule nary_cong :premises (@p1400 @p1139 @p1399 @p1398) :args ((or @t1165 @t1192 @t1267 @t1266))) 18.76/19.31 (assume-push @p1536 @t1257) 18.76/19.31 (assume-push @p1537 @t1262) 18.76/19.31 (assume-push @p1538 @t1164) 18.76/19.31 (assume-push @p1539 @t1191) 18.76/19.31 (step @p1324 :rule evaluate :args (@t1245)) 18.76/19.31 (step @p1406 :rule true_intro :premises (@p1536)) 18.76/19.31 (step @p1407 :rule symm :premises (@p1397)) 18.76/19.31 (step @p1408 :rule cong :premises (@p1538) :args (@t1113)) 18.76/19.31 (step @p1409 :rule trans :premises (@p1408 @p1407)) 18.76/19.31 (step @p1148 :rule refl :args (@t1115)) 18.76/19.31 (step @p1410 :rule cong :premises (@p450 @p1148 @p1409) :args (@t1116)) 18.76/19.31 (step @p1146 :rule false_intro :premises (@p1137)) 18.76/19.31 (step @p1411 :rule symm :premises (@p1146)) 18.76/19.31 (step @p1412 :rule trans :premises (@p1411 @p1410 @p1406)) 18.76/19.31 (step @p1413 false :rule eq_resolve :premises (@p1412 @p1324)) 18.76/19.31 (step-pop @p1539 :rule scope :premises (@p1413)) 18.76/19.31 (step-pop @p1540 :rule scope :premises (@p1539)) 18.76/19.31 (step-pop @p1541 :rule scope :premises (@p1540)) 18.76/19.31 (step-pop @p1542 :rule scope :premises (@p1541)) 18.76/19.31 (step @p1414 :rule process_scope :premises (@p1542) :args (false)) 18.76/19.31 (assume-push @p1544 @t1164) 18.76/19.31 (assume-push @p1545 @t1191) 18.76/19.31 (assume-push @p1546 @t1262) 18.76/19.31 (assume-push @p1547 @t1257) 18.76/19.31 (step @p1423 :rule and_intro :premises (@p1547 @p1397 @p1544 @p1137)) 18.76/19.31 (step-pop @p1547 :rule scope :premises (@p1423)) 18.76/19.31 (step-pop @p1548 :rule scope :premises (@p1547)) 18.76/19.31 (step-pop @p1549 :rule scope :premises (@p1548)) 18.76/19.31 (step-pop @p1550 :rule scope :premises (@p1549)) 18.76/19.31 (step @p1424 :rule process_scope :premises (@p1550) :args (@t1268)) 18.76/19.31 (step @p1429 :rule implies_elim :premises (@p1424)) 18.76/19.31 (step @p1430 :rule resolution :premises (@p1429 @p1414) :args (true @t1268)) 18.76/19.31 (step @p1431 :rule not_and :premises (@p1430)) 18.76/19.31 (step @p1432 :rule eq_resolve :premises (@p1431 @p1401)) 18.76/19.31 (step @p1433 :rule chain_resolution :premises (@p1432 @p1137 @p1397 @p1392) :args (@t1269 (@list @t1116 @t1262 @t1257))) 18.76/19.31 (step @p1434 :rule bool-double-not-elim :args (@t1164)) 18.76/19.31 (step @p1435 :rule refl :args (@t1166)) 18.76/19.31 (step @p1436 :rule nary_cong :premises (@p1435 @p1434) :args ((or @t1166 (not @t1165)))) 18.76/19.31 (step @p1437 :rule cnf_or_neg :args (@t1166 1)) 18.76/19.31 (step @p1438 :rule eq_resolve :premises (@p1437 @p1436)) 18.76/19.31 (step @p1439 :rule reordering :premises (@p1438) :args ((or @t1164 @t1166))) 18.76/19.31 (step @p1440 :rule chain_resolution :premises (@p1439 @p1433) :args (@t1186 (@list @t1164))) 18.76/19.31 (step @p1441 :rule bool-double-not-elim :args (@t1155)) 18.76/19.31 (step @p1442 :rule refl :args (@t1167)) 18.76/19.31 (step @p1443 :rule nary_cong :premises (@p1442 @p1441) :args ((or @t1167 @t1270))) 18.76/19.31 (step @p1444 :rule cnf_or_neg :args (@t1167 0)) 18.76/19.31 (step @p1445 :rule eq_resolve :premises (@p1444 @p1443)) 18.76/19.31 (step @p1446 :rule reordering :premises (@p1445) :args ((or @t1155 @t1167))) 18.76/19.31 (step @p1447 :rule refl :args (@t1157)) 18.76/19.31 (step @p1448 :rule nary_cong :premises (@p1447 @p1441) :args ((or @t1157 @t1270))) 18.76/19.31 (step @p1449 :rule cnf_or_neg :args (@t1157 3)) 18.76/19.31 (step @p1450 :rule eq_resolve :premises (@p1449 @p1448)) 18.76/19.31 (step @p1451 :rule reordering :premises (@p1450) :args ((or @t1155 @t1157))) 18.76/19.31 (step @p1452 :rule cnf_and_neg :args (@t1168)) 18.76/19.31 (step @p1453 :rule chain_resolution :premises (@p1452 @p1124 @p1451 @p1446) :args (@t1269 (@list @t1168 @t1157 @t1167))) 18.76/19.31 (step @p1454 :rule factoring :premises (@p1453)) 18.76/19.31 (step @p1455 :rule reordering :premises (@p1454) :args ((or @t1155 (not @t1166) (not @t1154)))) 18.76/19.31 (step @p1456 :rule chain_resolution :premises (@p1455 @p1440 @p1354) :args (@t1233 (@list @t1166 @t1154))) 18.76/19.31 (step @p1457 :rule refl :args (@t1156)) 18.76/19.31 (step @p1458 :rule nary_cong :premises (@p1457 @p1139 @p1315) :args ((or @t1156 @t1192 @t1210))) 18.76/19.31 (assume-push @p1552 @t1155) 18.76/19.31 (assume-push @p1553 @t1194) 18.76/19.31 (assume-push @p1554 @t1191) 18.76/19.31 (step @p1324 :rule evaluate :args (@t1245)) 18.76/19.31 (step @p1462 :rule true_intro :premises (@p1552)) 18.76/19.31 (step @p1463 :rule refl :args (@t1113)) 18.76/19.31 (step @p1464 :rule symm :premises (@p1553)) 18.76/19.31 (step @p1465 :rule cong :premises (@p450 @p1464 @p1463) :args (@t1116)) 18.76/19.31 (step @p1146 :rule false_intro :premises (@p1137)) 18.76/19.31 (step @p1411 :rule symm :premises (@p1146)) 18.76/19.31 (step @p1466 :rule trans :premises (@p1411 @p1465 @p1462)) 18.76/19.31 (step @p1467 false :rule eq_resolve :premises (@p1466 @p1324)) 18.76/19.31 (step-pop @p1554 :rule scope :premises (@p1467)) 18.76/19.31 (step-pop @p1555 :rule scope :premises (@p1554)) 18.76/19.31 (step-pop @p1556 :rule scope :premises (@p1555)) 18.76/19.31 (step @p1468 :rule process_scope :premises (@p1556) :args (false)) 18.76/19.31 (assume-push @p1558 @t1155) 18.76/19.31 (assume-push @p1559 @t1191) 18.76/19.31 (assume-push @p1560 @t1194) 18.76/19.31 (step @p1475 :rule and_intro :premises (@p1558 @p1560 @p1137)) 18.76/19.31 (step-pop @p1560 :rule scope :premises (@p1475)) 18.76/19.31 (step-pop @p1561 :rule scope :premises (@p1560)) 18.76/19.31 (step-pop @p1562 :rule scope :premises (@p1561)) 18.76/19.31 (step @p1476 :rule process_scope :premises (@p1562) :args (@t1271)) 18.76/19.31 (step @p1480 :rule implies_elim :premises (@p1476)) 18.76/19.31 (step @p1481 :rule resolution :premises (@p1480 @p1468) :args (true @t1271)) 18.76/19.31 (step @p1482 :rule not_and :premises (@p1481)) 18.76/19.31 (step @p1483 :rule eq_resolve :premises (@p1482 @p1458)) 18.76/19.31 (step @p1484 :rule chain_resolution :premises (@p1483 @p1456 @p1137) :args ((@list false true) (@list @t1155 @t1116))) 18.76/19.31 (step @p1485 :rule chain_resolution :premises (@p1309 @p1484 @p1307) :args (@t1272 (@list @t1194 @t1195))) 18.76/19.31 (step @p1486 :rule chain_resolution :premises (@p1163 @p1137 @p1485) :args (@t1272 (@list @t1116 @t1189))) 18.76/19.31 (step @p1487 :rule nary_cong :premises (@p1442 @p1131) :args ((or @t1167 @t1188))) 18.76/19.31 (step @p1488 :rule cnf_or_neg :args (@t1167 1)) 18.76/19.31 (step @p1489 :rule eq_resolve :premises (@p1488 @p1487)) 18.76/19.31 (step @p1490 :rule reordering :premises (@p1489) :args ((or @t1148 @t1167))) 18.76/19.31 (step @p1491 :rule chain_resolution :premises (@p1490 @p1486) :args (@t1186 @t1273)) 18.76/19.31 (step @p1492 :rule nary_cong :premises (@p1447 @p1131) :args ((or @t1157 @t1188))) 18.76/19.31 (step @p1493 :rule cnf_or_neg :args (@t1157 0)) 18.76/19.31 (step @p1494 :rule eq_resolve :premises (@p1493 @p1492)) 18.76/19.31 (step @p1495 :rule reordering :premises (@p1494) :args ((or @t1148 @t1157))) 18.76/19.31 (step @p1496 :rule chain_resolution :premises (@p1495 @p1486) :args (@t1186 @t1273)) 18.76/19.31 (step @p1497 false :rule chain_resolution :premises (@p1452 @p1496 @p1491 @p1440 @p1354 @p1124) :args ((@list false false false false true) (@list @t1157 @t1167 @t1166 @t1154 @t1168))) 18.76/19.31 ) 18.76/19.31 % SZS output end Proof 18.76/19.31 % cvc5 exiting 18.76/19.31 EOF