0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : do_cvc5 %s %d THM 0.09/0.30 % Computer : n006.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % WCLimit : 180 0.09/0.30 % DateTime : Thu Jul 4 07:01:23 EDT 2024 0.09/0.30 % CPUTime : 0.15/0.46 %----Proving TF0_ARI 36.71/36.98 --- Run --finite-model-find --decision=internal at 15... 36.71/36.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 36.71/36.98 --- Run --no-e-matching --enum-inst at 10... 36.71/36.98 --- Run --cegqi-all --purify-triggers --enum-inst at 10... 36.71/36.98 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.fMNrujrnq0/cvc5---1.0.5_6418.smt2 36.71/36.98 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.fMNrujrnq0/cvc5---1.0.5_6418.smt2 36.71/36.98 (declare-sort tptp.list_tree 0) 36.71/36.98 (declare-sort tptp.tree1 0) 36.71/36.98 (declare-sort tptp.tuple02 0) 36.71/36.98 (declare-sort tptp.ty 0) 36.71/36.98 (declare-sort tptp.bool1 0) 36.71/36.98 (declare-sort tptp.map_int_lplist_treerp 0) 36.71/36.98 (declare-sort tptp.uni 0) 36.71/36.98 (declare-fun tptp.tb2t2 (tptp.uni) tptp.tree1) 36.71/36.98 (declare-fun tptp.make1 (tptp.ty Int tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.get2 (tptp.ty tptp.uni Int) tptp.uni) 36.71/36.98 (declare-fun tptp.match_list1 (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.tb2t (tptp.uni) Int) 36.71/36.98 (declare-fun tptp.length3 (tptp.ty tptp.uni) Int) 36.71/36.98 (declare-fun tptp.match_tree1 (tptp.ty tptp.tree1 tptp.uni tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.set2 (tptp.ty tptp.uni Int tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.array (tptp.ty) tptp.ty) 36.71/36.98 (declare-fun tptp.mk_array1 (tptp.ty Int tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.false1 () tptp.bool1) 36.71/36.98 (declare-fun tptp.cons_proj_11 (tptp.ty tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.tree () tptp.ty) 36.71/36.98 (declare-fun tptp.cons_proj_21 (tptp.ty tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.int () tptp.ty) 36.71/36.98 (declare-fun tptp.witness1 (tptp.ty) tptp.uni) 36.71/36.98 (declare-fun tptp.node_proj_21 (tptp.tree1) tptp.tree1) 36.71/36.98 (declare-fun tptp.map (tptp.ty tptp.ty) tptp.ty) 36.71/36.98 (declare-fun tptp.t2tb3 (tptp.map_int_lplist_treerp) tptp.uni) 36.71/36.98 (declare-fun tptp.cons (tptp.ty tptp.uni tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.t2tb (Int) tptp.uni) 36.71/36.98 (declare-fun tptp.nil (tptp.ty) tptp.uni) 36.71/36.98 (declare-fun tptp.size1 (tptp.tree1) Int) 36.71/36.98 (declare-fun tptp.get (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.node1 (tptp.tree1 tptp.tree1) tptp.tree1) 36.71/36.98 (declare-fun tptp.infix_plpl (tptp.ty tptp.uni tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.node_proj_11 (tptp.tree1) tptp.tree1) 36.71/36.98 (declare-fun tptp.empty1 () tptp.tree1) 36.71/36.98 (declare-fun tptp.sort1 (tptp.ty tptp.uni) Bool) 36.71/36.98 (declare-fun tptp.length2 (tptp.ty tptp.uni) Int) 36.71/36.98 (declare-fun tptp.match_bool1 (tptp.ty tptp.bool1 tptp.uni tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.t2tb1 (tptp.list_tree) tptp.uni) 36.71/36.98 (declare-fun tptp.list (tptp.ty) tptp.ty) 36.71/36.98 (declare-fun tptp.tuple03 () tptp.tuple02) 36.71/36.98 (declare-fun tptp.t2tb2 (tptp.tree1) tptp.uni) 36.71/36.98 (declare-fun tptp.mem (tptp.ty tptp.uni tptp.uni) Bool) 36.71/36.98 (declare-fun tptp.set (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.tb2t3 (tptp.uni) tptp.map_int_lplist_treerp) 36.71/36.98 (declare-fun tptp.distinct (tptp.ty tptp.uni) Bool) 36.71/36.98 (declare-fun tptp.tb2t1 (tptp.uni) tptp.list_tree) 36.71/36.98 (declare-fun tptp.true1 () tptp.bool1) 36.71/36.98 (declare-fun tptp.all_trees1 (Int tptp.list_tree) Bool) 36.71/36.98 (declare-fun tptp.const (tptp.ty tptp.ty tptp.uni) tptp.uni) 36.71/36.98 (declare-fun tptp.elts (tptp.ty tptp.uni) tptp.uni) 36.71/36.98 (define @v.0.BOUND_VARIABLE_1595 () (alf.var "BOUND_VARIABLE_1595" tptp.list_tree)) 36.71/36.98 (define @v.0.BOUND_VARIABLE_1599 () (alf.var "BOUND_VARIABLE_1599" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.BOUND_VARIABLE_1591 () (alf.var "BOUND_VARIABLE_1591" Int)) 36.71/36.98 (define @v.0.BOUND_VARIABLE_1597 () (alf.var "BOUND_VARIABLE_1597" tptp.tree1)) 36.71/36.98 (define @v.0.BOUND_VARIABLE_1601 () (alf.var "BOUND_VARIABLE_1601" Int)) 36.71/36.98 (define @v.4.U () (alf.var "U" tptp.bool1)) 36.71/36.98 (define @v.2.X1 () (alf.var "X1" tptp.tree1)) 36.71/36.98 (define @v.1.X1 () (alf.var "X1" Int)) 36.71/36.98 (define @v.0.L1 () (alf.var "L1" tptp.uni)) 36.71/36.98 (define @v.0.L3 () (alf.var "L3" tptp.uni)) 36.71/36.98 (define @v.0.O () (alf.var "O" tptp.list_tree)) 36.71/36.98 (define @v.1.L () (alf.var "L" tptp.uni)) 36.71/36.98 (define @v.0.Z1 () (alf.var "Z1" tptp.uni)) 36.71/36.98 (define @v.0.M () (alf.var "M" tptp.uni)) 36.71/36.98 (define @v.0.Y () (alf.var "Y" Int)) 36.71/36.98 (define @v.2.A1 () (alf.var "A1" tptp.uni)) 36.71/36.98 (define @v.1.X () (alf.var "X" tptp.uni)) 36.71/36.98 (define @v.0.A2 () (alf.var "A2" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.A1 () (alf.var "A1" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.A3 () (alf.var "A3" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.2.X () (alf.var "X" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.A () (alf.var "A" tptp.ty)) 36.71/36.98 (define @v.0.B1 () (alf.var "B1" tptp.uni)) 36.71/36.98 (define @v.4.X () (alf.var "X" tptp.tree1)) 36.71/36.98 (define @v.0.X2 () (alf.var "X2" tptp.uni)) 36.71/36.98 (define @v.0.X1 () (alf.var "X1" tptp.uni)) 36.71/36.98 (define @v.1.U () (alf.var "U" tptp.uni)) 36.71/36.98 (define @v.2.I () (alf.var "I" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.T () (alf.var "T" tptp.tree1)) 36.71/36.98 (define @v.0.X () (alf.var "X" tptp.bool1)) 36.71/36.98 (define @v.0.BOUND_VARIABLE_1593 () (alf.var "BOUND_VARIABLE_1593" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.B () (alf.var "B" tptp.ty)) 36.71/36.98 (define @v.3.X () (alf.var "X" Int)) 36.71/36.98 (define @v.0.N () (alf.var "N" Int)) 36.71/36.98 (define @v.0.L () (alf.var "L" tptp.tree1)) 36.71/36.98 (define @v.1.L2 () (alf.var "L2" tptp.tree1)) 36.71/36.98 (define @v.0.R () (alf.var "R" tptp.tree1)) 36.71/36.98 (define @v.1.L1 () (alf.var "L1" tptp.tree1)) 36.71/36.98 (define @v.0.Z () (alf.var "Z" tptp.uni)) 36.71/36.98 (define @v.0.A4 () (alf.var "A4" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.U1 () (alf.var "U1" tptp.uni)) 36.71/36.98 (define @v.0.R1 () (alf.var "R1" tptp.tree1)) 36.71/36.98 (define @v.1.A () (alf.var "A" tptp.map_int_lplist_treerp)) 36.71/36.98 (define @v.0.K () (alf.var "K" Int)) 36.71/36.98 (define @v.1.I () (alf.var "I" tptp.list_tree)) 36.71/36.98 (define @v.2.L () (alf.var "L" tptp.list_tree)) 36.71/36.98 (define @v.1.A2 () (alf.var "A2" tptp.uni)) 36.71/36.98 (define @v.2.U () (alf.var "U" tptp.tuple02)) 36.71/36.98 (define @v.1.A1 () (alf.var "A1" tptp.ty)) 36.71/36.98 (define @v.0.U () (alf.var "U" tptp.tree1)) 36.71/36.98 (define @v.1.Z () (alf.var "Z" Int)) 36.71/36.98 (define @v.3.U () (alf.var "U" Int)) 36.71/36.98 (define @v.0.V1 () (alf.var "V1" tptp.tree1)) 36.71/36.98 (define @v.0.V () (alf.var "V" tptp.tree1)) 36.71/36.98 (define @v.1.V1 () (alf.var "V1" tptp.uni)) 36.71/36.98 (define @v.1.V () (alf.var "V" tptp.uni)) 36.71/36.98 (define @v.0.I () (alf.var "I" Int)) 36.71/36.98 (define @v.0.R2 () (alf.var "R2" tptp.tree1)) 36.71/36.98 (define @v.0.L2 () (alf.var "L2" tptp.uni)) 36.71/36.98 (define @v.0.J () (alf.var "J" Int)) 36.71/36.98 (define @v.1.J () (alf.var "J" tptp.uni)) 36.71/36.98 (define @v.5.X () (alf.var "X" tptp.list_tree)) 36.71/36.98 (define @v.3.I () (alf.var "I" tptp.tree1)) 36.71/36.98 (define @v.1.U1 () (alf.var "U1" tptp.tree1)) 36.71/36.98 (define @t1 () (tptp.cons @v.0.A @v.1.U @v.0.U1)) 36.71/36.98 (define @t2 () (@list @v.0.A @v.1.U @v.0.U1)) 36.71/36.98 (define @t3 () (tptp.size1 @v.0.T)) 36.71/36.98 (define @t4 () (= @t3 @v.0.I)) 36.71/36.98 (define @t5 () (tptp.size1 @v.0.L)) 36.71/36.98 (define @t6 () (tptp.node1 @v.0.L @v.0.R)) 36.71/36.98 (define @t7 () (= @v.0.T @t6)) 36.71/36.98 (define @t8 () (@list @v.0.L @v.0.R)) 36.71/36.98 (define @t9 () (tptp.t2tb @v.0.I)) 36.71/36.98 (define @t10 () (tptp.list tptp.tree)) 36.71/36.98 (define @t11 () (tptp.t2tb2 @v.0.T)) 36.71/36.98 (define @t12 () (@list @v.0.T)) 36.71/36.98 (define @t13 () (+ @v.0.N 1)) 36.71/36.98 (define @t14 () (<= 0 @t13)) 36.71/36.98 (define @t15 () (tptp.t2tb3 @v.0.A3)) 36.71/36.98 (define @t16 () (tptp.get @t10 tptp.int @t15 @t9)) 36.71/36.98 (define @t17 () (tptp.t2tb1 @v.0.O)) 36.71/36.98 (define @t18 () (<= 0 @v.0.I)) 36.71/36.98 (define @t19 () (< @v.0.I @t13)) 36.71/36.98 (define @t20 () (- @v.0.I 1)) 36.71/36.98 (define @t21 () (- @t20 @v.0.J)) 36.71/36.98 (define @t22 () (tptp.size1 @v.0.R)) 36.71/36.98 (define @t23 () (<= 0 @t21)) 36.71/36.98 (define @t24 () (<= 0 @v.0.J)) 36.71/36.98 (define @t25 () (tptp.t2tb @v.0.K)) 36.71/36.98 (define @t26 () (and (<= 0 @v.0.K) (< @v.0.K @v.0.I))) 36.71/36.98 (define @t27 () (@list @v.0.K)) 36.71/36.98 (define @t28 () (tptp.nil tptp.tree)) 36.71/36.98 (define @t29 () (tptp.t2tb3 @v.0.A1)) 36.71/36.98 (define @t30 () (tptp.cons tptp.tree (tptp.t2tb2 tptp.empty1) @t28)) 36.71/36.98 (define @t31 () (not (forall (@list @v.0.N) (=> (<= 0 @v.0.N) (=> @t14 (=> @t14 (=> (and (< 0 @t13) (<= 0 0)) (forall (@list @v.1.A) (=> (and @t14 (= @v.1.A (tptp.tb2t3 (tptp.set @t10 tptp.int (tptp.const @t10 tptp.int @t28) (tptp.t2tb 0) @t30)))) (=> (<= 1 @v.0.N) (forall (@list @v.0.A1 @v.0.I) (=> (and (<= @v.0.I @v.0.N) (<= 1 @v.0.I)) (=> (forall @t27 (=> @t26 (tptp.all_trees1 @v.0.K (tptp.tb2t1 (tptp.get @t10 tptp.int @t29 @t25))))) (=> (and @t19 @t18 @t14) (forall (@list @v.0.A2) (=> (and @t14 (= @v.0.A2 (tptp.tb2t3 (tptp.set @t10 tptp.int @t29 @t9 @t28)))) (=> (<= 0 @t20) (forall (@list @v.0.A3 @v.0.J) (=> (and @t24 (<= @v.0.J @t20)) (=> (and (forall @t12 (= (tptp.mem tptp.tree @t11 @t16) (exists @t8 (and @t4 (< @t5 @v.0.J) @t7)))) (tptp.distinct tptp.tree @t16) (forall @t27 (=> @t26 (tptp.all_trees1 @v.0.K (tptp.tb2t1 (tptp.get @t10 tptp.int @t15 @t25)))))) (=> (and @t14 @t18 @t19) (=> (and @t23 (< @t21 @t13)) (=> (and (< @v.0.J @t13) @t24) (=> (and @t24 (tptp.all_trees1 @v.0.J (tptp.tb2t1 (tptp.get @t10 tptp.int @t15 (tptp.t2tb @v.0.J)))) @t23 (tptp.all_trees1 @t21 (tptp.tb2t1 (tptp.get @t10 tptp.int @t15 (tptp.t2tb @t21))))) (forall (@list @v.0.O) (=> (and (forall @t12 (= (tptp.mem tptp.tree @t11 @t17) (exists @t8 (and @t7 (= @t5 @v.0.J) (= @t22 @t21))))) (tptp.distinct tptp.tree @t17)) (=> (and @t19 @t18) (forall (@list @v.0.A4) (=> (and (= @v.0.A4 (tptp.tb2t3 (tptp.set @t10 tptp.int @t15 @t9 (tptp.infix_plpl tptp.tree @t17 @t16)))) @t14) (forall @t12 (=> (tptp.mem tptp.tree @t11 (tptp.get @t10 tptp.int (tptp.t2tb3 @v.0.A4) @t9)) (exists @t8 (and @t7 (< @t5 (+ @v.0.J 1)) @t4))))))))))))))))))))))))))))))))) 36.71/36.98 (define @t32 () (tptp.map tptp.int @v.0.A)) 36.71/36.98 (define @t33 () (@list @v.0.A @v.1.X)) 36.71/36.98 (define @t34 () (tptp.nil @v.0.A)) 36.71/36.98 (define @t35 () (tptp.cons @v.0.A @v.1.X @v.0.X1)) 36.71/36.98 (define @t36 () (@list @v.1.X @v.0.X1)) 36.71/36.98 (define @t37 () (@list @v.0.A)) 36.71/36.98 (define @t38 () (tptp.sort1 @v.0.A @v.0.Z1)) 36.71/36.98 (define @t39 () (@list @v.0.A @v.0.Z @v.0.Z1)) 36.71/36.98 (define @t40 () (tptp.list @v.0.A)) 36.71/36.98 (define @t41 () (tptp.sort1 @v.0.A @v.0.Z)) 36.71/36.98 (define @t42 () (tptp.length2 @v.0.A @v.1.L)) 36.71/36.98 (define @t43 () (@list @v.0.A @v.1.L)) 36.71/36.98 (define @t44 () (tptp.infix_plpl @v.0.A @v.0.L1 @v.0.L2)) 36.71/36.98 (define @t45 () (tptp.array @v.0.A)) 36.71/36.98 (define @t46 () (@list @v.0.A @v.3.X @v.0.X1)) 36.71/36.98 (define @t47 () (tptp.node1 @v.0.U @v.1.U1)) 36.71/36.98 (define @t48 () (@list @v.0.A @v.1.U)) 36.71/36.98 (define @t49 () (tptp.mem @v.0.A @v.1.X @v.0.L2)) 36.71/36.98 (define @t50 () (tptp.mem @v.0.A @v.1.X @v.0.L1)) 36.71/36.98 (define @t51 () (tptp.sort1 @v.0.A @v.1.X)) 36.71/36.98 (define @t52 () (@list @v.1.X)) 36.71/36.98 (define @t53 () (@list @v.0.A @v.0.L1 @v.0.L2)) 36.71/36.98 (define @t54 () (tptp.t2tb1 @v.2.L)) 36.71/36.98 (define @t55 () (tptp.get @v.0.B @v.0.A (tptp.set @v.0.B @v.0.A @v.0.M @v.2.A1 @v.0.B1) @v.1.A2)) 36.71/36.98 (define @t56 () (= @v.2.A1 @v.1.A2)) 36.71/36.98 (define @t57 () (tptp.sort1 @v.0.B @v.0.B1)) 36.71/36.98 (define @t58 () (tptp.mem @v.0.A @v.1.X @v.1.L)) 36.71/36.98 (define @t59 () (@list @v.0.A @v.1.X @v.1.L)) 36.71/36.98 (define @t60 () (tptp.elts @v.0.A @v.2.A1)) 36.71/36.98 (define @t61 () (@list @v.1.J)) 36.71/36.98 (define @t62 () (forall (@list @v.0.A @v.0.B @v.0.M @v.2.A1 @v.1.A2 @v.0.B1) (=> @t57 (=> @t56 (= @t55 @v.0.B1))))) 36.71/36.98 (define @t63 () (tptp.mk_array1 @v.0.A @v.3.U @v.0.U1)) 36.71/36.98 (define @t64 () (@list @v.0.A @v.3.U @v.0.U1)) 36.71/36.98 (define @t65 () (@list @v.0.A @v.1.X @v.0.X1)) 36.71/36.98 (define @t66 () (tptp.cons @v.0.A @v.1.X @v.1.L)) 36.71/36.98 (define @t67 () (tptp.distinct @v.0.A @v.1.L)) 36.71/36.98 (define @t68 () (not @t58)) 36.71/36.98 (define @t69 () (tptp.cons @v.0.A @v.1.X @t34)) 36.71/36.98 (define @t70 () (tptp.map @v.0.A @v.0.B)) 36.71/36.98 (define @t71 () (tptp.t2tb3 (tptp.tb2t3 @v.1.J))) 36.71/36.98 (define @t72 () (forall @t61 (= @t71 @v.1.J))) 36.71/36.98 (define @t73 () (tptp.size1 @v.2.X1)) 36.71/36.98 (define @t74 () (tptp.size1 @v.4.X)) 36.71/36.98 (define @t75 () (tptp.size1 (tptp.node1 @v.4.X @v.2.X1))) 36.71/36.98 (define @t76 () (@list @v.4.X @v.2.X1)) 36.71/36.98 (define @t77 () (forall @t76 (= @t75 (+ (+ 1 @t74) @t73)))) 36.71/36.98 (define @t78 () (@list @v.0.U @v.1.U1)) 36.71/36.98 (define @t79 () (* -1 @t5)) 36.71/36.98 (define @t80 () (+ @v.0.BOUND_VARIABLE_1601 @t79)) 36.71/36.98 (define @t81 () (tptp.t2tb @v.0.BOUND_VARIABLE_1591)) 36.71/36.98 (define @t82 () (tptp.t2tb3 @v.0.BOUND_VARIABLE_1599)) 36.71/36.98 (define @t83 () (tptp.get @t10 tptp.int @t82 @t81)) 36.71/36.98 (define @t84 () (tptp.t2tb1 @v.0.BOUND_VARIABLE_1595)) 36.71/36.98 (define @t85 () (not @t7)) 36.71/36.98 (define @t86 () (* -1 @v.0.BOUND_VARIABLE_1601)) 36.71/36.98 (define @t87 () (+ -1 @v.0.BOUND_VARIABLE_1591 @t86)) 36.71/36.98 (define @t88 () (>= (+ @v.0.K (* -1 @v.0.BOUND_VARIABLE_1591)) 0)) 36.71/36.98 (define @t89 () (not (>= @v.0.K 0))) 36.71/36.98 (define @t90 () (or (not (>= @v.0.BOUND_VARIABLE_1591 1)) (not (forall @t27 (or @t89 @t88 (tptp.all_trees1 @v.0.K (tptp.tb2t1 (tptp.get @t10 tptp.int (tptp.t2tb3 @v.0.BOUND_VARIABLE_1593) @t25)))))) (not (>= @v.0.BOUND_VARIABLE_1591 0)) (not (>= @v.0.BOUND_VARIABLE_1601 0)) (not (>= (+ @v.0.BOUND_VARIABLE_1591 @t86) 1)) (not (forall @t12 (= (tptp.mem tptp.tree @t11 @t83) (and (= @v.0.BOUND_VARIABLE_1591 @t3) (not (forall @t8 (or (not (>= @t80 1)) @t85))))))) (not (tptp.distinct tptp.tree @t83)) (not (forall @t27 (or @t89 @t88 (tptp.all_trees1 @v.0.K (tptp.tb2t1 (tptp.get @t10 tptp.int @t82 @t25)))))) (not (tptp.all_trees1 @v.0.BOUND_VARIABLE_1601 (tptp.tb2t1 (tptp.get @t10 tptp.int @t82 (tptp.t2tb @v.0.BOUND_VARIABLE_1601))))) (not (tptp.all_trees1 @t87 (tptp.tb2t1 (tptp.get @t10 tptp.int @t82 (tptp.t2tb @t87))))) (not (forall @t12 (= (not (forall @t8 (or @t85 (not (= @v.0.BOUND_VARIABLE_1601 @t5)) (not (= @v.0.BOUND_VARIABLE_1591 (+ 1 @v.0.BOUND_VARIABLE_1601 @t22)))))) (tptp.mem tptp.tree @t11 @t84)))) (not (tptp.distinct tptp.tree @t84)) (not (tptp.mem tptp.tree (tptp.t2tb2 @v.0.BOUND_VARIABLE_1597) (tptp.get @t10 tptp.int (tptp.t2tb3 (tptp.tb2t3 (tptp.set @t10 tptp.int @t82 @t81 (tptp.infix_plpl tptp.tree @t84 @t83)))) @t81))) (and (= @v.0.BOUND_VARIABLE_1591 (tptp.size1 @v.0.BOUND_VARIABLE_1597)) (not (forall @t8 (or (not (= @t6 @v.0.BOUND_VARIABLE_1597)) (not (>= @t80 0)))))))) 36.71/36.98 (define @t91 () (@list @v.0.BOUND_VARIABLE_1601 @v.0.BOUND_VARIABLE_1599 @v.0.BOUND_VARIABLE_1597 @v.0.BOUND_VARIABLE_1595 @v.0.BOUND_VARIABLE_1593 @v.0.BOUND_VARIABLE_1591)) 36.71/36.98 (define @t92 () (forall @t91 @t90)) 36.71/36.98 (define @t93 () (not @t92)) 36.71/36.98 (define @t94 () (exists @t91 (not @t90))) 36.71/36.98 (define @t95 () (@quantifiers_skolemize @t94 @v.0.BOUND_VARIABLE_1601)) 36.71/36.98 (define @t96 () (+ @t95 @t79)) 36.71/36.98 (define @t97 () (@quantifiers_skolemize @t94 @v.0.BOUND_VARIABLE_1597)) 36.71/36.98 (define @t98 () (not (= @t6 @t97))) 36.71/36.98 (define @t99 () (forall @t8 (or @t98 (not (>= @t96 0))))) 36.71/36.98 (define @t100 () (not @t99)) 36.71/36.98 (define @t101 () (tptp.size1 @t97)) 36.71/36.98 (define @t102 () (@quantifiers_skolemize @t94 @v.0.BOUND_VARIABLE_1591)) 36.71/36.98 (define @t103 () (= @t102 @t101)) 36.71/36.98 (define @t104 () (and @t103 @t100)) 36.71/36.98 (define @t105 () (tptp.t2tb @t102)) 36.71/36.98 (define @t106 () (tptp.t2tb3 (@quantifiers_skolemize @t94 @v.0.BOUND_VARIABLE_1599))) 36.71/36.98 (define @t107 () (tptp.get @t10 tptp.int @t106 @t105)) 36.71/36.98 (define @t108 () (tptp.t2tb1 (@quantifiers_skolemize @t94 @v.0.BOUND_VARIABLE_1595))) 36.71/36.98 (define @t109 () (tptp.infix_plpl tptp.tree @t108 @t107)) 36.71/36.98 (define @t110 () (tptp.set @t10 tptp.int @t106 @t105 @t109)) 36.71/36.98 (define @t111 () (tptp.t2tb2 @t97)) 36.71/36.98 (define @t112 () (tptp.mem tptp.tree @t111 (tptp.get @t10 tptp.int (tptp.t2tb3 (tptp.tb2t3 @t110)) @t105))) 36.71/36.98 (define @t113 () (not @t112)) 36.71/36.98 (define @t114 () (not (tptp.distinct tptp.tree @t108))) 36.71/36.98 (define @t115 () (not (= @t95 (+ -1 @t102 (* -1 @t22))))) 36.71/36.98 (define @t116 () (not (= @t95 @t5))) 36.71/36.98 (define @t117 () (tptp.mem tptp.tree @t11 @t108)) 36.71/36.98 (define @t118 () (forall @t12 (= @t117 (not (forall @t8 (or @t85 @t116 @t115)))))) 36.71/36.98 (define @t119 () (not @t118)) 36.71/36.98 (define @t120 () (* -1 @t95)) 36.71/36.98 (define @t121 () (+ -1 @t120 @t102)) 36.71/36.98 (define @t122 () (not (tptp.all_trees1 @t95 (tptp.tb2t1 (tptp.get @t10 tptp.int @t106 (tptp.t2tb @t95)))))) 36.71/36.98 (define @t123 () (* -1 @t102)) 36.71/36.98 (define @t124 () (>= (+ @v.0.K @t123) 0)) 36.71/36.98 (define @t125 () (not (forall @t27 (or @t89 @t124 (tptp.all_trees1 @v.0.K (tptp.tb2t1 (tptp.get @t10 tptp.int @t106 @t25))))))) 36.71/36.98 (define @t126 () (not (tptp.distinct tptp.tree @t107))) 36.71/36.98 (define @t127 () (not (>= @t96 1))) 36.71/36.98 (define @t128 () (forall @t12 (= (tptp.mem tptp.tree @t11 @t107) (and (= @t102 @t3) (not (forall @t8 (or @t127 @t85))))))) 36.71/36.98 (define @t129 () (not @t128)) 36.71/36.98 (define @t130 () (not (>= @t95 0))) 36.71/36.98 (define @t131 () (not (>= @t102 0))) 36.71/36.98 (define @t132 () (not (forall @t27 (or @t89 @t124 (tptp.all_trees1 @v.0.K (tptp.tb2t1 (tptp.get @t10 tptp.int (tptp.t2tb3 (@quantifiers_skolemize @t94 @v.0.BOUND_VARIABLE_1593)) @t25))))))) 36.71/36.98 (define @t133 () (not (>= @t102 1))) 36.71/36.98 (define @t134 () (or @t133 @t132 @t131 @t130 (>= (+ @t95 @t123) 0) @t129 @t126 @t125 @t122 (not (tptp.all_trees1 @t121 (tptp.tb2t1 (tptp.get @t10 tptp.int @t106 (tptp.t2tb @t121))))) @t119 @t114 @t113 @t104)) 36.71/36.98 (define @t135 () (not @t134)) 36.71/36.98 (define @t136 () (+ -1 @t102 @t120)) 36.71/36.98 (define @t137 () (not (or @t133 @t132 @t131 @t130 (not (>= (+ @t102 @t120) 1)) @t129 @t126 @t125 @t122 (not (tptp.all_trees1 @t136 (tptp.tb2t1 (tptp.get @t10 tptp.int @t106 (tptp.t2tb @t136))))) (not (forall @t12 (= (not (forall @t8 (or @t85 @t116 (not (= @t102 (+ 1 @t95 @t22)))))) @t117))) @t114 @t113 @t104))) 36.71/36.98 (define @t138 () (@list @t97)) 36.71/36.98 (define @t139 () (not (= @t97 @t6))) 36.71/36.98 (define @t140 () (tptp.mem tptp.tree @t111 @t107)) 36.71/36.98 (define @t141 () (or @t127 @t98)) 36.71/36.98 (define @t142 () (forall @t8 @t141)) 36.71/36.98 (define @t143 () (not @t142)) 36.71/36.98 (define @t144 () (and @t103 @t143)) 36.71/36.98 (define @t145 () (= @t140 @t144)) 36.71/36.98 (define @t146 () (= @t109 (tptp.get @t10 tptp.int @t110 @t105))) 36.71/36.98 (define @t147 () (not (tptp.sort1 @t10 @t109))) 36.71/36.98 (define @t148 () (or @t147 @t146)) 36.71/36.98 (define @t149 () (tptp.mem tptp.tree @t111 @t108)) 36.71/36.98 (define @t150 () (or @t149 @t140)) 36.71/36.98 (define @t151 () (tptp.mem tptp.tree @t111 @t109)) 36.71/36.98 (define @t152 () (= @t151 @t150)) 36.71/36.98 (define @t153 () (or @t98 @t116 @t115)) 36.71/36.98 (define @t154 () (forall @t8 @t153)) 36.71/36.98 (define @t155 () (not @t154)) 36.71/36.98 (define @t156 () (= @t149 @t155)) 36.71/36.98 (define @t157 () (exists @t8 (not @t153))) 36.71/36.98 (define @t158 () (@quantifiers_skolemize @t157 @v.0.R)) 36.71/36.98 (define @t159 () (@quantifiers_skolemize @t157 @v.0.L)) 36.71/36.98 (define @t160 () (tptp.node1 @t159 @t158)) 36.71/36.98 (define @t161 () (= @t97 @t160)) 36.71/36.98 (define @t162 () (not @t161)) 36.71/36.98 (define @t163 () (tptp.size1 @t158)) 36.71/36.98 (define @t164 () (* -1 @t163)) 36.71/36.98 (define @t165 () (= @t95 (+ -1 @t102 @t164))) 36.71/36.98 (define @t166 () (not @t165)) 36.71/36.98 (define @t167 () (tptp.size1 @t159)) 36.71/36.98 (define @t168 () (= @t95 @t167)) 36.71/36.98 (define @t169 () (not @t168)) 36.71/36.98 (define @t170 () (or @t162 @t169 @t166)) 36.71/36.98 (define @t171 () (not @t144)) 36.71/36.98 (define @t172 () (not @t149)) 36.71/36.98 (define @t173 () (not @t170)) 36.71/36.98 (define @t174 () (not (= @t160 @t97))) 36.71/36.98 (define @t175 () (not (or @t174 @t169 @t166))) 36.71/36.98 (define @t176 () (tptp.size1 @t160)) 36.71/36.98 (define @t177 () (= @t101 @t176)) 36.71/36.98 (define @t178 () (forall @t76 (= @t75 (+ 1 @t74 @t73)))) 36.71/36.98 (define @t179 () (@list @t159 @t158)) 36.71/36.98 (define @t180 () (= @t167 (+ -1 @t164 @t176))) 36.71/36.98 (define @t181 () (+ @t102 (* -1 @t101))) 36.71/36.98 (define @t182 () (>= @t181 0)) 36.71/36.98 (define @t183 () (not @t182)) 36.71/36.98 (define @t184 () (* -1 @t176)) 36.71/36.98 (define @t185 () (+ @t167 @t163 @t184)) 36.71/36.98 (define @t186 () (+ @t95 (* -1 @t167))) 36.71/36.98 (define @t187 () (= @t186 0)) 36.71/36.98 (define @t188 () (+ @t95 @t123 @t163)) 36.71/36.98 (define @t189 () (= @t188 -1)) 36.71/36.98 (define @t190 () (+ @t101 @t184)) 36.71/36.98 (define @t191 () (= @t190 0)) 36.71/36.98 (define @t192 () (* -1 -1)) 36.71/36.98 (define @t193 () (* -1 0)) 36.71/36.98 (define @t194 () (* -1 @t186)) 36.71/36.98 (define @t195 () (not @t180)) 36.71/36.98 (define @t196 () (not @t177)) 36.71/36.98 (define @t197 () (>= @t181 1)) 36.71/36.98 (define @t198 () (* -1 1)) 36.71/36.98 (define @t199 () (not @t197)) 36.71/36.98 (define @t200 () (not @t103)) 36.71/36.98 (define @t201 () (and @t199 @t200 @t182)) 36.71/36.98 (define @t202 () (>= @t186 0)) 36.71/36.98 (define @t203 () (not @t202)) 36.71/36.98 (define @t204 () (or @t162 @t203)) 36.71/36.98 (define @t205 () (> @t186 -1)) 36.71/36.98 (define @t206 () (and @t203 @t168)) 36.71/36.98 (define @t207 () (exists @t8 (not @t141))) 36.71/36.98 (define @t208 () (@quantifiers_skolemize @t207 @v.0.R)) 36.71/36.98 (define @t209 () (@quantifiers_skolemize @t207 @v.0.L)) 36.71/36.98 (define @t210 () (tptp.node1 @t209 @t208)) 36.71/36.98 (define @t211 () (= @t97 @t210)) 36.71/36.98 (define @t212 () (not @t211)) 36.71/36.98 (define @t213 () (+ @t95 (* -1 (tptp.size1 @t209)))) 36.71/36.98 (define @t214 () (>= @t213 1)) 36.71/36.98 (define @t215 () (not @t214)) 36.71/36.98 (define @t216 () (or @t215 @t212)) 36.71/36.98 (define @t217 () (not @t216)) 36.71/36.98 (define @t218 () (not (= @t210 @t97))) 36.71/36.98 (define @t219 () (not (or @t215 @t218))) 36.71/36.98 (define @t220 () (>= @t213 0)) 36.71/36.98 (define @t221 () (not @t220)) 36.71/36.98 (define @t222 () (or @t212 @t221)) 36.71/36.98 (define @t223 () (> @t213 -1)) 36.71/36.98 (define @t224 () (and @t221 @t214)) 36.71/36.98 (assume @p1 (forall (@list @v.0.A @v.0.X @v.0.X1 @v.0.X2) (tptp.sort1 @v.0.A (tptp.match_bool1 @v.0.A @v.0.X @v.0.X1 @v.0.X2)))) 36.71/36.98 (assume @p2 (forall (@list @v.0.U) (or (= @v.0.U (tptp.node1 (tptp.node_proj_11 @v.0.U) (tptp.node_proj_21 @v.0.U))) (= @v.0.U tptp.empty1)))) 36.71/36.98 (assume @p3 (forall @t2 (= (tptp.cons_proj_21 @v.0.A @t1) @v.0.U1))) 36.71/36.98 (assume @p4 @t31) 36.71/36.98 (assume @p5 (forall @t33 (tptp.sort1 @t32 (tptp.elts @v.0.A @v.1.X)))) 36.71/36.98 (assume @p6 (forall @t37 (and (forall @t36 (= (tptp.length2 @v.0.A @t35) (+ 1 (tptp.length2 @v.0.A @v.0.X1)))) (= (tptp.length2 @v.0.A @t34) 0)))) 36.71/36.98 (assume @p7 (forall (@list @v.2.X) (tptp.sort1 (tptp.map tptp.int @t10) (tptp.t2tb3 @v.2.X)))) 36.71/36.98 (assume @p8 (forall @t33 (tptp.sort1 @v.0.A (tptp.cons_proj_11 @v.0.A @v.1.X)))) 36.71/36.98 (assume @p9 (forall @t39 (=> @t38 (= (tptp.match_bool1 @v.0.A tptp.false1 @v.0.Z @v.0.Z1) @v.0.Z1)))) 36.71/36.98 (assume @p10 (forall @t33 (tptp.sort1 @t40 (tptp.cons_proj_21 @v.0.A @v.1.X)))) 36.71/36.98 (assume @p11 (forall @t39 (=> @t41 (= (tptp.match_bool1 @v.0.A tptp.true1 @v.0.Z @v.0.Z1) @v.0.Z)))) 36.71/36.98 (assume @p12 (forall @t43 (= (= @v.1.L @t34) (= @t42 0)))) 36.71/36.98 (assume @p13 (not (= tptp.true1 tptp.false1))) 36.71/36.98 (assume @p14 (forall (@list @v.3.X) (tptp.sort1 tptp.int (tptp.t2tb @v.3.X)))) 36.71/36.98 (assume @p15 (forall (@list @v.0.A @v.0.L1 @v.0.L2 @v.0.L3) (= (tptp.infix_plpl @v.0.A @v.0.L1 (tptp.infix_plpl @v.0.A @v.0.L2 @v.0.L3)) (tptp.infix_plpl @v.0.A @t44 @v.0.L3)))) 36.71/36.98 (assume @p16 (forall @t46 (tptp.sort1 @t45 (tptp.mk_array1 @v.0.A @v.3.X @v.0.X1)))) 36.71/36.98 (assume @p17 (forall (@list @v.0.A @v.1.X @v.1.X1 @v.0.X2) (tptp.sort1 @t45 (tptp.set2 @v.0.A @v.1.X @v.1.X1 @v.0.X2)))) 36.71/36.98 (assume @p18 (forall (@list @v.1.I) (= (tptp.tb2t1 (tptp.t2tb1 @v.1.I)) @v.1.I))) 36.71/36.98 (assume @p19 (forall (@list @v.0.A @v.0.Z @v.0.Z1 @v.0.U @v.1.U1) (=> @t38 (= (tptp.match_tree1 @v.0.A @t47 @v.0.Z @v.0.Z1) @v.0.Z1)))) 36.71/36.98 (assume @p20 (forall @t48 (= @v.1.U (tptp.mk_array1 @v.0.A (tptp.length3 @v.0.A @v.1.U) (tptp.elts @v.0.A @v.1.U))))) 36.71/36.98 (assume @p21 (forall @t37 (tptp.sort1 @v.0.A (tptp.witness1 @v.0.A)))) 36.71/36.98 (assume @p22 (forall @t12 (=> (< 0 @t3) (exists @t8 (and @t7 (< @t5 @t3)))))) 36.71/36.98 (assume @p23 (forall (@list @v.0.I) (= (tptp.tb2t @t9) @v.0.I))) 36.71/36.98 (assume @p24 (forall (@list @v.2.U) (= @v.2.U tptp.tuple03))) 36.71/36.98 (assume @p25 (forall (@list @v.0.A @v.1.A1 @v.0.Z @v.0.Z1) (=> (tptp.sort1 @v.1.A1 @v.0.Z) (= (tptp.match_list1 @v.1.A1 @v.0.A @t34 @v.0.Z @v.0.Z1) @v.0.Z)))) 36.71/36.98 (assume @p26 (forall @t53 (=> (tptp.distinct @v.0.A @v.0.L1) (=> (tptp.distinct @v.0.A @v.0.L2) (=> (forall @t52 (=> @t51 (=> @t50 (not @t49)))) (tptp.distinct @v.0.A @t44)))))) 36.71/36.98 (assume @p27 (forall (@list @v.0.A @v.1.A1 @v.1.X @v.0.X1 @v.0.X2) (tptp.sort1 @v.1.A1 (tptp.match_list1 @v.1.A1 @v.0.A @v.1.X @v.0.X1 @v.0.X2)))) 36.71/36.98 (assume @p28 (forall (@list @v.0.A @v.1.X @v.0.L1 @v.0.L2) (= (tptp.mem @v.0.A @v.1.X @t44) (or @t50 @t49)))) 36.71/36.98 (assume @p29 (forall (@list @v.0.V @v.0.V1) (not (= tptp.empty1 (tptp.node1 @v.0.V @v.0.V1))))) 36.71/36.98 (assume @p30 (forall (@list @v.0.A @v.1.V @v.1.V1) (not (= @t34 (tptp.cons @v.0.A @v.1.V @v.1.V1))))) 36.71/36.98 (assume @p31 (forall (@list @v.0.N @v.2.L) (= (and (tptp.distinct tptp.tree @t54) (forall @t12 (= (tptp.mem tptp.tree @t11 @t54) (= @t3 @v.0.N)))) (tptp.all_trees1 @v.0.N @v.2.L)))) 36.71/36.98 (assume @p32 (forall (@list @v.3.X @v.0.Y @v.1.Z) (=> (<= @v.3.X @v.0.Y) (=> (<= 0 @v.1.Z) (<= (* @v.3.X @v.1.Z) (* @v.0.Y @v.1.Z)))))) 36.71/36.98 (assume @p33 (forall (@list @v.0.A @v.0.B @v.0.M @v.2.A1 @v.1.A2) (=> (tptp.sort1 @v.0.A @v.2.A1) (=> (tptp.sort1 @v.0.A @v.1.A2) (forall (@list @v.0.B1) (=> (not @t56) (= @t55 (tptp.get @v.0.B @v.0.A @v.0.M @v.1.A2)))))))) 36.71/36.98 (assume @p34 (forall (@list @v.0.A @v.0.B @v.0.B1 @v.2.A1) (=> @t57 (= (tptp.get @v.0.B @v.0.A (tptp.const @v.0.B @v.0.A @v.0.B1) @v.2.A1) @v.0.B1)))) 36.71/36.98 (assume @p35 (forall (@list @v.1.L1 @v.1.L2) (=> (not (= (tptp.size1 @v.1.L1) (tptp.size1 @v.1.L2))) (forall (@list @v.0.R1 @v.0.R2) (not (= (tptp.node1 @v.1.L1 @v.0.R1) (tptp.node1 @v.1.L2 @v.0.R2))))))) 36.71/36.98 (assume @p36 (forall @t59 (=> @t58 (exists (@list @v.0.L1 @v.0.L2) (and (= @v.1.L (tptp.infix_plpl @v.0.A @v.0.L1 (tptp.cons @v.0.A @v.1.X @v.0.L2))) (tptp.sort1 @t40 @v.0.L2) (tptp.sort1 @t40 @v.0.L1)))))) 36.71/36.98 (assume @p37 (forall (@list @v.4.X) (tptp.sort1 tptp.tree (tptp.t2tb2 @v.4.X)))) 36.71/36.98 (assume @p38 (forall (@list @v.0.A @v.1.X @v.1.X1) (tptp.sort1 @v.0.A (tptp.get2 @v.0.A @v.1.X @v.1.X1)))) 36.71/36.98 (assume @p39 (forall (@list @v.0.A @v.0.N @v.1.V) (= (tptp.make1 @v.0.A @v.0.N @v.1.V) (tptp.mk_array1 @v.0.A @v.0.N (tptp.const @v.0.A tptp.int @v.1.V))))) 36.71/36.98 (assume @p40 (forall (@list @v.0.A @v.2.A1 @v.0.I @v.1.V) (= (tptp.set2 @v.0.A @v.2.A1 @v.0.I @v.1.V) (tptp.mk_array1 @v.0.A (tptp.length3 @v.0.A @v.2.A1) (tptp.set @v.0.A tptp.int @t60 @t9 @v.1.V))))) 36.71/36.98 (assume @p41 (forall (@list @v.0.A @v.1.A1 @v.0.Z @v.0.Z1 @v.1.U @v.0.U1) (=> (tptp.sort1 @v.1.A1 @v.0.Z1) (= (tptp.match_list1 @v.1.A1 @v.0.A @t1 @v.0.Z @v.0.Z1) @v.0.Z1)))) 36.71/36.98 (assume @p42 (forall @t61 (= (tptp.t2tb (tptp.tb2t @v.1.J)) @v.1.J))) 36.71/36.98 (assume @p43 (forall (@list @v.0.A @v.0.L2) (and (= (tptp.infix_plpl @v.0.A @t34 @v.0.L2) @v.0.L2) (forall @t36 (= (tptp.infix_plpl @v.0.A @t35 @v.0.L2) (tptp.cons @v.0.A @v.1.X (tptp.infix_plpl @v.0.A @v.0.X1 @v.0.L2))))))) 36.71/36.98 (assume @p44 (forall @t61 (= (tptp.t2tb1 (tptp.tb2t1 @v.1.J)) @v.1.J))) 36.71/36.98 (assume @p45 (forall @t43 (<= 0 @t42))) 36.71/36.98 (assume @p46 @t62) 36.71/36.98 (assume @p47 (forall (@list @v.0.A @v.4.X @v.0.X1 @v.0.X2) (tptp.sort1 @v.0.A (tptp.match_tree1 @v.0.A @v.4.X @v.0.X1 @v.0.X2)))) 36.71/36.98 (assume @p48 (forall @t64 (=> (tptp.sort1 @t32 @v.0.U1) (= (tptp.elts @v.0.A @t63) @v.0.U1)))) 36.71/36.98 (assume @p49 (forall @t65 (tptp.sort1 @t40 @t35))) 36.71/36.98 (assume @p50 (forall @t33 (=> @t51 (and (not (tptp.mem @v.0.A @v.1.X @t34)) (forall (@list @v.0.X1 @v.0.X2) (=> (tptp.sort1 @v.0.A @v.0.X1) (= (or (= @v.1.X @v.0.X1) (tptp.mem @v.0.A @v.1.X @v.0.X2)) (tptp.mem @v.0.A @v.1.X (tptp.cons @v.0.A @v.0.X1 @v.0.X2))))))))) 36.71/36.98 (assume @p51 (forall (@list @v.0.A @v.2.A1 @v.0.I) (= (tptp.get2 @v.0.A @v.2.A1 @v.0.I) (tptp.get @v.0.A tptp.int @t60 @t9)))) 36.71/36.98 (assume @p52 (forall (@list @v.2.I) (= (tptp.tb2t3 (tptp.t2tb3 @v.2.I)) @v.2.I))) 36.71/36.98 (assume @p53 (forall @t39 (=> @t41 (= (tptp.match_tree1 @v.0.A tptp.empty1 @v.0.Z @v.0.Z1) @v.0.Z)))) 36.71/36.98 (assume @p54 (forall (@list @v.0.A @v.0.B @v.1.X @v.0.X1) (tptp.sort1 @v.0.B (tptp.get @v.0.B @v.0.A @v.1.X @v.0.X1)))) 36.71/36.98 (assume @p55 (forall @t46 (tptp.sort1 @t45 (tptp.make1 @v.0.A @v.3.X @v.0.X1)))) 36.71/36.98 (assume @p56 (forall @t12 (<= 0 @t3))) 36.71/36.98 (assume @p57 (forall @t59 (=> @t68 (=> @t67 (tptp.distinct @v.0.A @t66))))) 36.71/36.98 (assume @p58 (forall @t53 (= (tptp.length2 @v.0.A @t44) (+ (tptp.length2 @v.0.A @v.0.L1) (tptp.length2 @v.0.A @v.0.L2))))) 36.71/36.98 (assume @p59 (forall @t37 (tptp.distinct @v.0.A @t34))) 36.71/36.98 (assume @p60 (forall (@list @v.0.A @v.0.Z) (=> (tptp.distinct @v.0.A @v.0.Z) (or (exists @t52 (and @t51 (= @v.0.Z @t69))) (exists (@list @v.1.X @v.1.L) (and @t68 (= @v.0.Z @t66) @t67 (tptp.sort1 @t40 @v.1.L) @t51)) (= @v.0.Z @t34))))) 36.71/36.98 (assume @p61 (forall @t2 (=> (tptp.sort1 @v.0.A @v.1.U) (= (tptp.cons_proj_11 @v.0.A @t1) @v.1.U)))) 36.71/36.98 (assume @p62 (forall (@list @v.5.X) (tptp.sort1 @t10 (tptp.t2tb1 @v.5.X)))) 36.71/36.98 (assume @p63 (tptp.all_trees1 0 (tptp.tb2t1 @t30))) 36.71/36.98 (assume @p64 (forall @t48 (or (= @v.1.U (tptp.cons @v.0.A (tptp.cons_proj_11 @v.0.A @v.1.U) (tptp.cons_proj_21 @v.0.A @v.1.U))) (= @v.1.U @t34)))) 36.71/36.98 (assume @p65 (forall (@list @v.0.A @v.0.B @v.1.X) (tptp.sort1 @t70 (tptp.const @v.0.B @v.0.A @v.1.X)))) 36.71/36.98 (assume @p66 (forall (@list @v.3.I) (= (tptp.tb2t2 (tptp.t2tb2 @v.3.I)) @v.3.I))) 36.71/36.98 (assume @p67 (forall @t64 (= (tptp.length3 @v.0.A @t63) @v.3.U))) 36.71/36.98 (assume @p68 @t72) 36.71/36.98 (assume @p69 (forall @t37 (tptp.sort1 @t40 @t34))) 36.71/36.98 (assume @p70 (forall @t61 (= (tptp.t2tb2 (tptp.tb2t2 @v.1.J)) @v.1.J))) 36.71/36.98 (assume @p71 (forall (@list @v.0.A @v.0.B @v.1.X @v.0.X1 @v.0.X2) (tptp.sort1 @t70 (tptp.set @v.0.B @v.0.A @v.1.X @v.0.X1 @v.0.X2)))) 36.71/36.98 (assume @p72 (and @t77 (= (tptp.size1 tptp.empty1) 0))) 36.71/36.98 (assume @p73 (forall @t78 (= (tptp.node_proj_21 @t47) @v.1.U1))) 36.71/36.98 (assume @p74 (forall @t33 (tptp.distinct @v.0.A @t69))) 36.71/36.98 (assume @p75 (forall @t43 (= (tptp.infix_plpl @v.0.A @v.1.L @t34) @v.1.L))) 36.71/36.98 (assume @p76 (forall @t78 (= (tptp.node_proj_11 @t47) @v.0.U))) 36.71/36.98 (assume @p77 (forall @t65 (tptp.sort1 @t40 (tptp.infix_plpl @v.0.A @v.1.X @v.0.X1)))) 36.71/36.98 (assume @p78 (forall (@list @v.4.U) (or (= @v.4.U tptp.false1) (= @v.4.U tptp.true1)))) 36.71/36.98 (assume @p79 true) 36.71/36.98 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 36.71/36.98 ; trust MACRO_SR_EQ_INTRO 36.71/36.98 (step @p80 :rule trust :premises () :args ((= @t31 @t93))) 36.71/36.98 (step @p81 :rule eq_resolve :premises (@p4 @p80)) 36.71/36.98 (step @p82 :rule refl :args (@t135)) 36.71/36.98 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p83 :rule trust :premises () :args ((= (not @t93) @t92))) 36.71/36.98 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (or)) 36.71/36.98 ; WARNING: add trust step for MACRO_REWRITE 36.71/36.98 ; trust MACRO_REWRITE 36.71/36.98 (step @p85 :rule trust :premises () :args ((= (=> @t93 @t137) (=> @t93 @t135)))) 36.71/36.98 (assume-push @p86 @t93) 36.71/36.98 (step @p87 :rule skolemize :premises (@p81)) 36.71/36.98 (step-pop @p398 :rule scope :premises (@p87)) 36.71/36.98 (step @p88 :rule process_scope :premises (@p398) :args (@t137)) 36.71/36.98 (step @p90 :rule eq_resolve :premises (@p88 @p85)) 36.71/36.98 (step @p91 :rule implies_elim :premises (@p90)) 36.71/36.98 (step @p92 :rule eq_resolve :premises (@p91 @p84)) 36.71/36.98 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p93 :rule trust :premises (@p92 @p81) :args (@t135)) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p94 :rule trust :premises () :args ((= (not @t129) @t128))) 36.71/36.98 (step @p95 :rule refl :args (@t134)) 36.71/36.98 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (or)) 36.71/36.98 (step @p97 :rule cnf_or_neg :args (@t134 5)) 36.71/36.98 (step @p98 :rule eq_resolve :premises (@p97 @p96)) 36.71/36.98 (step @p99 :rule reordering :premises (@p98) :args ((or @t128 @t134))) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p100 :rule trust :premises (@p99 @p93) :args (@t128)) 36.71/36.98 (assume-push @p101 @t128) 36.71/36.98 (step @p102 :rule instantiate :premises (@p100) :args (@t138)) 36.71/36.98 (step-pop @p399 :rule scope :premises (@p102)) 36.71/36.98 (step @p103 :rule process_scope :premises (@p399) :args ((= @t140 (and @t103 (not (forall @t8 (or @t127 @t139))))))) 36.71/36.98 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 36.71/36.98 ; trust MACRO_SR_PRED_ELIM 36.71/36.98 (step @p105 :rule trust :premises (@p103) :args ((=> @t128 @t145))) 36.71/36.98 (step @p106 :rule implies_elim :premises (@p105)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p107 :rule trust :premises (@p106 @p100) :args (@t145)) 36.71/36.98 (step @p108 :rule instantiate :premises (@p28) :args ((@list tptp.tree @t111 @t108 @t107))) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p109 :rule trust :premises () :args ((= (not @t113) @t112))) 36.71/36.98 (step @p110 :rule nary_cong :premises (@p95 @p109) :args (or)) 36.71/36.98 (step @p111 :rule cnf_or_neg :args (@t134 12)) 36.71/36.98 (step @p112 :rule eq_resolve :premises (@p111 @p110)) 36.71/36.98 (step @p113 :rule reordering :premises (@p112) :args ((or @t112 @t134))) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p114 :rule trust :premises (@p113 @p93) :args (@t112)) 36.71/36.98 (step @p115 :rule true_intro :premises (@p114)) 36.71/36.98 (step @p116 :rule refl :args (@t105)) 36.71/36.98 ; trust MACRO_SR_EQ_INTRO 36.71/36.98 (step @p117 :rule trust :premises () :args ((= @t72 (forall @t61 (= @v.1.J @t71))))) 36.71/36.98 (step @p118 :rule eq_resolve :premises (@p68 @p117)) 36.71/36.98 (step @p119 :rule instantiate :premises (@p118) :args ((@list @t110))) 36.71/36.98 (step @p120 :rule refl :args (tptp.int)) 36.71/36.98 (step @p121 :rule refl :args (@t10)) 36.71/36.98 (step @p122 :rule cong :premises (@p121 @p120 @p119 @p116) :args (tptp.get)) 36.71/36.98 ; trust MACRO_SR_EQ_INTRO 36.71/36.98 (step @p123 :rule trust :premises () :args ((= @t62 (forall (@list @v.0.A @v.0.B @v.0.M @v.1.A2 @v.0.B1) (or (not @t57) (= @v.0.B1 (tptp.get @v.0.B @v.0.A (tptp.set @v.0.B @v.0.A @v.0.M @v.1.A2 @v.0.B1) @v.1.A2))))))) 36.71/36.98 (step @p124 :rule eq_resolve :premises (@p46 @p123)) 36.71/36.98 (step @p125 :rule instantiate :premises (@p124) :args ((@list tptp.int @t10 @t106 @t105 @t109))) 36.71/36.98 (step @p126 :rule instantiate :premises (@p77) :args ((@list tptp.tree @t108 @t107))) 36.71/36.98 (step @p127 :rule cnf_or_pos :args (@t148)) 36.71/36.98 (step @p128 :rule reordering :premises (@p127) :args ((or @t147 @t146 (not @t148)))) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p129 :rule trust :premises (@p128 @p126 @p125) :args (@t146)) 36.71/36.98 (step @p130 :rule trans :premises (@p129 @p122)) 36.71/36.98 (step @p131 :rule refl :args (@t111)) 36.71/36.98 (step @p132 :rule refl :args (tptp.tree)) 36.71/36.98 (step @p133 :rule cong :premises (@p132 @p131 @p130) :args (tptp.mem)) 36.71/36.98 (step @p134 :rule trans :premises (@p133 @p115)) 36.71/36.98 (step @p135 :rule true_elim :premises (@p134)) 36.71/36.98 (step @p136 :rule cnf_equiv_pos1 :args (@t152)) 36.71/36.98 (step @p137 :rule reordering :premises (@p136) :args ((or @t150 (not @t151) (not @t152)))) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p138 :rule trust :premises (@p137 @p135 @p108) :args (@t150)) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p139 :rule trust :premises () :args ((= (not @t119) @t118))) 36.71/36.98 (step @p140 :rule nary_cong :premises (@p95 @p139) :args (or)) 36.71/36.98 (step @p141 :rule cnf_or_neg :args (@t134 10)) 36.71/36.98 (step @p142 :rule eq_resolve :premises (@p141 @p140)) 36.71/36.98 (step @p143 :rule reordering :premises (@p142) :args ((or @t118 @t134))) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p144 :rule trust :premises (@p143 @p93) :args (@t118)) 36.71/36.98 (assume-push @p145 @t118) 36.71/36.98 (step @p146 :rule instantiate :premises (@p144) :args (@t138)) 36.71/36.98 (step-pop @p400 :rule scope :premises (@p146)) 36.71/36.98 (step @p147 :rule process_scope :premises (@p400) :args ((= @t149 (not (forall @t8 (or @t139 @t116 @t115)))))) 36.71/36.98 ; trust MACRO_SR_PRED_ELIM 36.71/36.98 (step @p149 :rule trust :premises (@p147) :args ((=> @t118 @t156))) 36.71/36.98 (step @p150 :rule implies_elim :premises (@p149)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p151 :rule trust :premises (@p150 @p144) :args (@t156)) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p152 :rule trust :premises () :args ((= (not @t162) @t161))) 36.71/36.98 (step @p153 :rule refl :args (@t170)) 36.71/36.98 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (or)) 36.71/36.98 (step @p155 :rule cnf_or_neg :args (@t170 0)) 36.71/36.98 (step @p156 :rule eq_resolve :premises (@p155 @p154)) 36.71/36.98 (step @p157 :rule reordering :premises (@p156) :args ((or @t161 @t170))) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p158 :rule trust :premises () :args ((= (not @t169) @t168))) 36.71/36.98 (step @p159 :rule nary_cong :premises (@p153 @p158) :args (or)) 36.71/36.98 (step @p160 :rule cnf_or_neg :args (@t170 1)) 36.71/36.98 (step @p161 :rule eq_resolve :premises (@p160 @p159)) 36.71/36.98 (step @p162 :rule reordering :premises (@p161) :args ((or @t168 @t170))) 36.71/36.98 (step @p163 :rule cnf_and_pos :args (@t144 0)) 36.71/36.98 (step @p164 :rule reordering :premises (@p163) :args ((or @t103 @t171))) 36.71/36.98 (step @p165 :rule cnf_equiv_pos1 :args (@t145)) 36.71/36.98 (step @p166 :rule reordering :premises (@p165) :args ((or @t144 (not @t140) (not @t145)))) 36.71/36.98 (step @p167 :rule cnf_or_pos :args (@t150)) 36.71/36.98 (step @p168 :rule reordering :premises (@p167) :args ((or @t140 @t149 (not @t150)))) 36.71/36.98 (step @p169 :rule cnf_equiv_pos1 :args (@t156)) 36.71/36.98 (step @p170 :rule reordering :premises (@p169) :args ((or @t155 @t172 (not @t156)))) 36.71/36.98 (step @p171 :rule refl :args (@t173)) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p172 :rule trust :premises () :args ((= (not @t155) @t154))) 36.71/36.98 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (or)) 36.71/36.98 ; trust MACRO_REWRITE 36.71/36.98 (step @p174 :rule trust :premises () :args ((= (=> @t155 @t175) (=> @t155 @t173)))) 36.71/36.98 (assume-push @p175 @t155) 36.71/36.98 (step @p176 :rule skolemize :premises (@p175)) 36.71/36.98 (step-pop @p401 :rule scope :premises (@p176)) 36.71/36.98 (step @p177 :rule process_scope :premises (@p401) :args (@t175)) 36.71/36.98 (step @p179 :rule eq_resolve :premises (@p177 @p174)) 36.71/36.98 (step @p180 :rule implies_elim :premises (@p179)) 36.71/36.98 (step @p181 :rule eq_resolve :premises (@p180 @p173)) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p182 :rule trust :premises () :args ((= (not @t166) @t165))) 36.71/36.98 (step @p183 :rule nary_cong :premises (@p153 @p182) :args (or)) 36.71/36.98 (step @p184 :rule cnf_or_neg :args (@t170 2)) 36.71/36.98 (step @p185 :rule eq_resolve :premises (@p184 @p183)) 36.71/36.98 (step @p186 :rule reordering :premises (@p185) :args ((or @t165 @t170))) 36.71/36.98 (assume-push @p187 @t161) 36.71/36.98 (assume-push @p188 @t161) 36.71/36.98 (step @p189 :rule symm :premises (@p187)) 36.71/36.98 (step @p190 :rule symm :premises (@p189)) 36.71/36.98 (step @p191 :rule cong :premises (@p190) :args (tptp.size1)) 36.71/36.98 (step-pop @p402 :rule scope :premises (@p191)) 36.71/36.98 (step @p192 :rule process_scope :premises (@p402) :args (@t177)) 36.71/36.98 (step @p194 :rule modus_ponens :premises (@p187 @p192)) 36.71/36.98 (step-pop @p403 :rule scope :premises (@p194)) 36.71/36.98 (step @p195 :rule process_scope :premises (@p403) :args (@t177)) 36.71/36.98 (step @p197 :rule implies_elim :premises (@p195)) 36.71/36.98 ; trust MACRO_SR_EQ_INTRO 36.71/36.98 (step @p198 :rule trust :premises () :args ((= @t77 @t178))) 36.71/36.98 (step @p199 :rule and_elim :premises (@p72) :args (0)) 36.71/36.98 (step @p200 :rule eq_resolve :premises (@p199 @p198)) 36.71/36.98 (assume-push @p201 @t178) 36.71/36.98 (step @p202 :rule instantiate :premises (@p200) :args (@t179)) 36.71/36.98 (step-pop @p404 :rule scope :premises (@p202)) 36.71/36.98 (step @p203 :rule process_scope :premises (@p404) :args ((= @t176 (+ 1 @t167 @t163)))) 36.71/36.98 ; trust MACRO_SR_PRED_ELIM 36.71/36.98 (step @p205 :rule trust :premises (@p203) :args ((=> @t178 @t180))) 36.71/36.98 (step @p206 :rule implies_elim :premises (@p205)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p207 :rule trust :premises (@p206 @p200) :args (@t180)) 36.71/36.98 (assume-push @p208 @t177) 36.71/36.98 (assume-push @p209 @t165) 36.71/36.98 (assume-push @p210 @t168) 36.71/36.98 (assume-push @p211 @t180) 36.71/36.98 (assume-push @p212 @t183) 36.71/36.98 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p213 :rule trust :premises (@p207) :args ((= @t185 -1))) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p214 :rule trust :premises (@p210) :args (@t187)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p215 :rule trust :premises (@p209) :args (@t189)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p216 :rule trust :premises (@p208) :args (@t191)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p217 :rule trust :premises (@p212) :args ((< @t181 0))) 36.71/36.98 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 36.71/36.98 ; trust MACRO_ARITH_SCALE_SUM_UB 36.71/36.98 (step @p218 :rule trust :premises (@p217 @p216 @p215 @p214 @p213) :args ((< (+ @t181 @t190 @t188 @t194 (* -1 @t185)) (+ 0 0 -1 @t193 @t192)))) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p219 false :rule trust :premises (@p218) :args (false)) 36.71/36.98 (step-pop @p405 :rule scope :premises (@p219)) 36.71/36.98 (step-pop @p406 :rule scope :premises (@p405)) 36.71/36.98 (step-pop @p407 :rule scope :premises (@p406)) 36.71/36.98 (step-pop @p408 :rule scope :premises (@p407)) 36.71/36.98 (step-pop @p409 :rule scope :premises (@p408)) 36.71/36.98 (step @p220 :rule process_scope :premises (@p409) :args (false)) 36.71/36.98 (step @p226 :rule not_and :premises (@p220)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p227 :rule trust :premises (@p226) :args ((or @t196 @t166 @t169 @t195 @t182))) 36.71/36.98 (step @p228 :rule reordering :premises (@p227) :args ((or @t169 @t166 @t195 @t196 @t182))) 36.71/36.98 (assume-push @p229 @t177) 36.71/36.98 (assume-push @p230 @t165) 36.71/36.98 (assume-push @p231 @t168) 36.71/36.98 (assume-push @p232 @t180) 36.71/36.98 (assume-push @p233 @t197) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p234 :rule trust :premises (@p210) :args (@t187)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p235 :rule trust :premises (@p209) :args (@t189)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p236 :rule trust :premises (@p208) :args (@t191)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p237 :rule trust :premises (@p233) :args (@t197)) 36.71/36.98 ; trust MACRO_ARITH_SCALE_SUM_UB 36.71/36.98 (step @p238 :rule trust :premises (@p237 @p236 @p235 @p234 @p213) :args ((<= (+ (* -1 @t181) (* -1 @t190) (* -1 @t188) @t186 @t185) (+ @t198 @t193 @t192 0 -1)))) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p239 false :rule trust :premises (@p238) :args (false)) 36.71/36.98 (step-pop @p410 :rule scope :premises (@p239)) 36.71/36.98 (step-pop @p411 :rule scope :premises (@p410)) 36.71/36.98 (step-pop @p412 :rule scope :premises (@p411)) 36.71/36.98 (step-pop @p413 :rule scope :premises (@p412)) 36.71/36.98 (step-pop @p414 :rule scope :premises (@p413)) 36.71/36.98 (step @p240 :rule process_scope :premises (@p414) :args (false)) 36.71/36.98 (step @p246 :rule not_and :premises (@p240)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p247 :rule trust :premises (@p246) :args ((or @t196 @t166 @t169 @t195 @t199))) 36.71/36.98 (step @p248 :rule reordering :premises (@p247) :args ((or @t169 @t166 @t195 @t196 @t199))) 36.71/36.98 (step @p249 :rule refl :args (@t183)) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p250 :rule trust :premises () :args ((= (not @t199) @t197))) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p251 :rule trust :premises () :args ((= (not @t200) @t103))) 36.71/36.98 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args (or)) 36.71/36.98 (assume-push @p253 @t199) 36.71/36.98 (assume-push @p254 @t200) 36.71/36.98 (assume-push @p255 @t182) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p256 :rule trust :premises (@p253) :args ((< @t181 1))) 36.71/36.98 (step @p257 :rule int_tight_ub :premises (@p256)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p258 :rule trust :premises (@p257) :args ((not (> @t181 0)))) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p259 :rule trust :premises (@p254) :args ((not (= @t181 0)))) 36.71/36.98 (step @p260 :rule arith_trichotomy :premises (@p259 @p255)) 36.71/36.98 (step @p261 false :rule contra :premises (@p260 @p258)) 36.71/36.98 (step-pop @p415 :rule scope :premises (@p261)) 36.71/36.98 (step-pop @p416 :rule scope :premises (@p415)) 36.71/36.98 (step-pop @p417 :rule scope :premises (@p416)) 36.71/36.98 (step @p262 :rule process_scope :premises (@p417) :args (false)) 36.71/36.98 (assume-push @p266 @t200) 36.71/36.98 (assume-push @p267 @t199) 36.71/36.98 (assume-push @p268 @t182) 36.71/36.98 (step @p269 :rule and_intro :premises (@p253 @p254 @p255)) 36.71/36.98 (step-pop @p418 :rule scope :premises (@p269)) 36.71/36.98 (step-pop @p419 :rule scope :premises (@p418)) 36.71/36.98 (step-pop @p420 :rule scope :premises (@p419)) 36.71/36.98 (step @p270 :rule process_scope :premises (@p420) :args (@t201)) 36.71/36.98 (step @p274 :rule implies_elim :premises (@p270)) 36.71/36.98 (step @p275 :rule resolution :premises (@p274 @p262) :args (true @t201)) 36.71/36.98 (step @p276 :rule not_and :premises (@p275)) 36.71/36.98 (step @p277 :rule eq_resolve :premises (@p276 @p252)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p278 :rule trust :premises (@p277 @p248 @p207 @p228 @p207 @p197 @p186 @p162 @p157 @p181 @p170 @p151 @p168 @p138 @p166 @p107 @p164) :args (@t103)) 36.71/36.98 (step @p279 :rule cnf_or_neg :args (@t134 13)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p280 :rule trust :premises (@p279 @p93) :args ((not @t104))) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p281 :rule trust :premises () :args ((= (not @t100) @t99))) 36.71/36.98 (step @p282 :rule refl :args (@t200)) 36.71/36.98 (step @p283 :rule refl :args (@t104)) 36.71/36.98 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281) :args (or)) 36.71/36.98 (step @p285 :rule cnf_and_neg :args (@t104)) 36.71/36.98 (step @p286 :rule eq_resolve :premises (@p285 @p284)) 36.71/36.98 (step @p287 :rule reordering :premises (@p286) :args ((or @t99 @t104 @t200))) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p288 :rule trust :premises (@p287 @p280 @p278) :args (@t99)) 36.71/36.98 (assume-push @p289 @t99) 36.71/36.98 (step @p290 :rule instantiate :premises (@p289) :args (@t179)) 36.71/36.98 (step-pop @p421 :rule scope :premises (@p290)) 36.71/36.98 (step @p291 :rule process_scope :premises (@p421) :args ((or @t174 @t203))) 36.71/36.98 ; trust MACRO_SR_PRED_ELIM 36.71/36.98 (step @p293 :rule trust :premises (@p291) :args ((=> @t99 @t204))) 36.71/36.98 (step @p294 :rule implies_elim :premises (@p293)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p295 :rule trust :premises (@p294 @p288) :args (@t204)) 36.71/36.98 (step @p296 :rule cnf_or_pos :args (@t204)) 36.71/36.98 (step @p297 :rule reordering :premises (@p296) :args ((or @t162 @t203 (not @t204)))) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p298 :rule trust :premises () :args ((= (not @t203) @t202))) 36.71/36.98 (step @p299 :rule refl :args (@t169)) 36.71/36.98 (step @p300 :rule nary_cong :premises (@p299 @p298) :args (or)) 36.71/36.98 (assume-push @p301 @t203) 36.71/36.98 (assume-push @p302 @t168) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p303 :rule trust :premises (@p301) :args ((< @t186 0))) 36.71/36.98 (step @p304 :rule int_tight_ub :premises (@p303)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p305 :rule trust :premises (@p304) :args ((not @t205))) 36.71/36.98 (assume-push @p306 (<= @t186 -1)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p307 :rule trust :premises (@p210) :args (@t187)) 36.71/36.98 ; trust MACRO_ARITH_SCALE_SUM_UB 36.71/36.98 (step @p308 :rule trust :premises (@p306 @p307) :args ((<= (+ @t186 @t194) (+ -1 @t193)))) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p309 false :rule trust :premises (@p308) :args (false)) 36.71/36.98 (step-pop @p422 :rule scope :premises (@p309)) 36.71/36.98 (step @p310 :rule process_scope :premises (@p422) :args (false)) 36.71/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.71/36.98 (step @p312 :rule trust :premises (@p310) :args (@t205)) 36.71/36.98 (step @p313 false :rule contra :premises (@p312 @p305)) 36.71/36.98 (step-pop @p423 :rule scope :premises (@p313)) 36.71/36.98 (step-pop @p424 :rule scope :premises (@p423)) 36.71/36.98 (step @p314 :rule process_scope :premises (@p424) :args (false)) 36.71/36.98 (assume-push @p317 @t168) 36.71/36.98 (assume-push @p318 @t203) 36.71/36.98 (step @p319 :rule and_intro :premises (@p301 @p210)) 36.71/36.98 (step-pop @p425 :rule scope :premises (@p319)) 36.71/36.98 (step-pop @p426 :rule scope :premises (@p425)) 36.71/36.98 (step @p320 :rule process_scope :premises (@p426) :args (@t206)) 36.71/36.98 (step @p323 :rule implies_elim :premises (@p320)) 36.71/36.98 (step @p324 :rule resolution :premises (@p323 @p314) :args (true @t206)) 36.71/36.98 (step @p325 :rule not_and :premises (@p324)) 36.71/36.98 (step @p326 :rule eq_resolve :premises (@p325 @p300)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p327 :rule trust :premises (@p326 @p297 @p295 @p162 @p157) :args (@t170)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p328 :rule trust :premises (@p181 @p327) :args (@t154)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p329 :rule trust :premises (@p170 @p328 @p151) :args (@t172)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p330 :rule trust :premises (@p168 @p329 @p138) :args (@t140)) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p331 :rule trust :premises (@p166 @p330 @p107) :args (@t144)) 36.71/36.98 (step @p332 :rule cnf_and_pos :args (@t144 1)) 36.71/36.98 (step @p333 :rule reordering :premises (@p332) :args ((or @t143 @t171))) 36.71/36.98 ; trust MACRO_RESOLUTION_TRUST 36.71/36.98 (step @p334 :rule trust :premises (@p333 @p331) :args (@t143)) 36.71/36.98 (step @p335 :rule refl :args (@t217)) 36.71/36.98 ; trust MACRO_SR_PRED_INTRO 36.71/36.98 (step @p336 :rule trust :premises () :args ((= (not @t143) @t142))) 36.71/36.98 (step @p337 :rule nary_cong :premises (@p336 @p335) :args (or)) 36.71/36.98 ; trust MACRO_REWRITE 36.71/36.98 (step @p338 :rule trust :premises () :args ((= (=> @t143 @t219) (=> @t143 @t217)))) 36.71/36.98 (assume-push @p339 @t143) 36.71/36.98 (step @p340 :rule skolemize :premises (@p339)) 36.71/36.98 (step-pop @p427 :rule scope :premises (@p340)) 36.71/36.98 (step @p341 :rule process_scope :premises (@p427) :args (@t219)) 36.72/36.98 (step @p343 :rule eq_resolve :premises (@p341 @p338)) 36.72/36.98 (step @p344 :rule implies_elim :premises (@p343)) 36.72/36.98 (step @p345 :rule eq_resolve :premises (@p344 @p337)) 36.72/36.98 ; trust MACRO_RESOLUTION_TRUST 36.72/36.98 (step @p346 :rule trust :premises (@p345 @p334) :args (@t217)) 36.72/36.98 ; trust MACRO_SR_PRED_INTRO 36.72/36.98 (step @p347 :rule trust :premises () :args ((= (not @t215) @t214))) 36.72/36.98 (step @p348 :rule refl :args (@t216)) 36.72/36.98 (step @p349 :rule nary_cong :premises (@p348 @p347) :args (or)) 36.72/36.98 (step @p350 :rule cnf_or_neg :args (@t216 0)) 36.72/36.98 (step @p351 :rule eq_resolve :premises (@p350 @p349)) 36.72/36.98 (step @p352 :rule reordering :premises (@p351) :args ((or @t214 @t216))) 36.72/36.98 ; trust MACRO_RESOLUTION_TRUST 36.72/36.98 (step @p353 :rule trust :premises (@p352 @p346) :args (@t214)) 36.72/36.98 (assume-push @p354 @t99) 36.72/36.98 (step @p355 :rule instantiate :premises (@p289) :args ((@list @t209 @t208))) 36.72/36.98 (step-pop @p428 :rule scope :premises (@p355)) 36.72/36.98 (step @p356 :rule process_scope :premises (@p428) :args ((or @t218 @t221))) 36.72/36.98 ; trust MACRO_SR_PRED_ELIM 36.72/36.98 (step @p358 :rule trust :premises (@p356) :args ((=> @t99 @t222))) 36.72/36.98 (step @p359 :rule implies_elim :premises (@p358)) 36.72/36.98 ; trust MACRO_RESOLUTION_TRUST 36.72/36.98 (step @p360 :rule trust :premises (@p359 @p288) :args (@t222)) 36.72/36.98 ; trust MACRO_SR_PRED_INTRO 36.72/36.98 (step @p361 :rule trust :premises () :args ((= (not @t212) @t211))) 36.72/36.98 (step @p362 :rule nary_cong :premises (@p348 @p361) :args (or)) 36.72/36.98 (step @p363 :rule cnf_or_neg :args (@t216 1)) 36.72/36.98 (step @p364 :rule eq_resolve :premises (@p363 @p362)) 36.72/36.98 (step @p365 :rule reordering :premises (@p364) :args ((or @t211 @t216))) 36.72/36.98 ; trust MACRO_RESOLUTION_TRUST 36.72/36.98 (step @p366 :rule trust :premises (@p365 @p346) :args (@t211)) 36.72/36.98 (step @p367 :rule cnf_or_pos :args (@t222)) 36.72/36.98 (step @p368 :rule reordering :premises (@p367) :args ((or @t212 @t221 (not @t222)))) 36.72/36.98 ; trust MACRO_RESOLUTION_TRUST 36.72/36.98 (step @p369 :rule trust :premises (@p368 @p366 @p360) :args (@t221)) 36.72/36.98 ; trust MACRO_SR_PRED_INTRO 36.72/36.98 (step @p370 :rule trust :premises () :args ((= (not @t221) @t220))) 36.72/36.98 (step @p371 :rule refl :args (@t215)) 36.72/36.98 (step @p372 :rule nary_cong :premises (@p371 @p370) :args (or)) 36.72/36.98 (assume-push @p373 @t221) 36.72/36.98 (assume-push @p374 @t214) 36.72/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.72/36.98 (step @p375 :rule trust :premises (@p373) :args ((< @t213 0))) 36.72/36.98 (step @p376 :rule int_tight_ub :premises (@p375)) 36.72/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.72/36.98 (step @p377 :rule trust :premises (@p376) :args ((not @t223))) 36.72/36.98 (assume-push @p378 (<= @t213 -1)) 36.72/36.98 ; trust MACRO_ARITH_SCALE_SUM_UB 36.72/36.98 (step @p379 :rule trust :premises (@p378 @p374) :args ((<= (+ @t213 (* -1 @t213)) (+ -1 @t198)))) 36.72/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.72/36.98 (step @p380 false :rule trust :premises (@p379) :args (false)) 36.72/36.98 (step-pop @p429 :rule scope :premises (@p380)) 36.72/36.98 (step @p381 :rule process_scope :premises (@p429) :args (false)) 36.72/36.98 ; trust MACRO_SR_PRED_TRANSFORM 36.72/36.98 (step @p383 :rule trust :premises (@p381) :args (@t223)) 36.72/36.98 (step @p384 false :rule contra :premises (@p383 @p377)) 36.72/36.98 (step-pop @p430 :rule scope :premises (@p384)) 36.72/36.98 (step-pop @p431 :rule scope :premises (@p430)) 36.72/36.98 (step @p385 :rule process_scope :premises (@p431) :args (false)) 36.72/36.98 (assume-push @p388 @t214) 36.72/36.98 (assume-push @p389 @t221) 36.72/36.98 (step @p390 :rule and_intro :premises (@p373 @p374)) 36.72/36.98 (step-pop @p432 :rule scope :premises (@p390)) 36.72/36.98 (step-pop @p433 :rule scope :premises (@p432)) 36.72/36.98 (step @p391 :rule process_scope :premises (@p433) :args (@t224)) 36.72/36.98 (step @p394 :rule implies_elim :premises (@p391)) 36.72/36.98 (step @p395 :rule resolution :premises (@p394 @p385) :args (true @t224)) 36.72/36.98 (step @p396 :rule not_and :premises (@p395)) 36.72/36.98 (step @p397 :rule eq_resolve :premises (@p396 @p372)) 36.72/36.98 ; trust MACRO_RESOLUTION_TRUST 36.72/36.98 (step @p398 false :rule trust :premises (@p397 @p369 @p353) :args (false)) 36.72/36.98 36.72/36.98 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.fMNrujrnq0/cvc5---1.0.5_6418.smt2 36.72/36.98 % cvc5---1.0.5 exiting 36.72/36.99 % cvc5---1.0.5 exiting 36.72/36.99 EOF