0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : do_cvc5 %s %d THM 0.12/0.33 % Computer : n022.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:37:09 EDT 2024 0.12/0.33 % CPUTime : 0.18/0.53 %----Proving TF0_ARI 21.02/21.23 --- Run --finite-model-find --decision=internal at 15... 21.02/21.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 21.02/21.23 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.za4FPHVeyc/cvc5---1.0.5_17717.smt2 21.02/21.23 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.za4FPHVeyc/cvc5---1.0.5_17717.smt2 21.02/21.23 (declare-sort tptp.map_int_int 0) 21.02/21.23 (declare-sort tptp.bool 0) 21.02/21.23 (declare-sort tptp.array_int 0) 21.02/21.23 (declare-sort tptp.tuple0 0) 21.02/21.23 (declare-sort tptp.ty 0) 21.02/21.23 (declare-sort tptp.uni 0) 21.02/21.23 (declare-sort tptp.lparray_intcm_intrp 0) 21.02/21.23 (declare-fun tptp.sorted_sub1 (tptp.array_int Int Int) Bool) 21.02/21.23 (declare-fun tptp.tb2t2 (tptp.uni) tptp.array_int) 21.02/21.23 (declare-fun tptp.t2tb1 (tptp.map_int_int) tptp.uni) 21.02/21.23 (declare-fun tptp.ref (tptp.ty) tptp.ty) 21.02/21.23 (declare-fun tptp.permut (tptp.array_int tptp.array_int) Bool) 21.02/21.23 (declare-fun tptp.get (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.tuple2 (tptp.ty tptp.ty) tptp.ty) 21.02/21.23 (declare-fun tptp.sorted_sub (tptp.map_int_int Int Int) Bool) 21.02/21.23 (declare-fun tptp.tb2t1 (tptp.uni) tptp.map_int_int) 21.02/21.23 (declare-fun tptp.sorted (tptp.array_int) Bool) 21.02/21.23 (declare-fun tptp.match_bool (tptp.ty tptp.bool tptp.uni tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.lt (tptp.lparray_intcm_intrp Int) Bool) 21.02/21.23 (declare-fun tptp.elts (tptp.ty tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.array (tptp.ty) tptp.ty) 21.02/21.23 (declare-fun tptp.num_of1 (tptp.lparray_intcm_intrp Int Int) Int) 21.02/21.23 (declare-fun tptp.numlt (tptp.array_int Int Int Int) Int) 21.02/21.23 (declare-fun tptp.map (tptp.ty tptp.ty) tptp.ty) 21.02/21.23 (declare-fun tptp.const (tptp.ty tptp.ty tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.t2tb2 (tptp.array_int) tptp.uni) 21.02/21.23 (declare-fun tptp.contents (tptp.ty tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.int () tptp.ty) 21.02/21.23 (declare-fun tptp.get1 (tptp.ty tptp.uni Int) tptp.uni) 21.02/21.23 (declare-fun tptp.make (tptp.ty Int tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.tb2t3 (tptp.uni) tptp.lparray_intcm_intrp) 21.02/21.23 (declare-fun tptp.mk_array (tptp.ty Int tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.tuple21 (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.sort (tptp.ty tptp.uni) Bool) 21.02/21.23 (declare-fun tptp.tuple2_proj_2 (tptp.ty tptp.ty tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.witness (tptp.ty) tptp.uni) 21.02/21.23 (declare-fun tptp.tuple2_proj_1 (tptp.ty tptp.ty tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.eq (tptp.lparray_intcm_intrp Int) Bool) 21.02/21.23 (declare-fun tptp.num_of (tptp.lparray_intcm_intrp Int Int) Int) 21.02/21.23 (declare-fun tptp.set1 (tptp.ty tptp.uni Int tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.t2tb (Int) tptp.uni) 21.02/21.23 (declare-fun tptp.tb2t (tptp.uni) Int) 21.02/21.23 (declare-fun tptp.t2tb3 (tptp.lparray_intcm_intrp) tptp.uni) 21.02/21.23 (declare-fun tptp.true () tptp.bool) 21.02/21.23 (declare-fun tptp.set (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.mk_ref (tptp.ty tptp.uni) tptp.uni) 21.02/21.23 (declare-fun tptp.false () tptp.bool) 21.02/21.23 (declare-fun tptp.k_values (tptp.array_int) Bool) 21.02/21.23 (declare-fun tptp.length (tptp.ty tptp.uni) Int) 21.02/21.23 (declare-fun tptp.k () Int) 21.02/21.23 (declare-fun tptp.numeq (tptp.array_int Int Int Int) Int) 21.02/21.23 (declare-fun tptp.tuple02 () tptp.tuple0) 21.02/21.23 (define @v.0.BOUND_VARIABLE_1569 () (alf.var "BOUND_VARIABLE_1569" tptp.uni)) 21.02/21.23 (define @v.0.BOUND_VARIABLE_2246 () (alf.var "BOUND_VARIABLE_2246" tptp.map_int_int)) 21.02/21.23 (define @v.0.BOUND_VARIABLE_2250 () (alf.var "BOUND_VARIABLE_2250" tptp.map_int_int)) 21.02/21.23 (define @v.0.BOUND_VARIABLE_2256 () (alf.var "BOUND_VARIABLE_2256" Int)) 21.02/21.23 (define @v.0.BOUND_VARIABLE_2252 () (alf.var "BOUND_VARIABLE_2252" Int)) 21.02/21.23 (define @v.0.BOUND_VARIABLE_2248 () (alf.var "BOUND_VARIABLE_2248" Int)) 21.02/21.23 (define @v.3.I () (alf.var "I" tptp.array_int)) 21.02/21.23 (define @v.0.I () (alf.var "I" Int)) 21.02/21.23 (define @v.0.U () (alf.var "U" tptp.uni)) 21.02/21.23 (define @v.0.J2 () (alf.var "J2" Int)) 21.02/21.23 (define @v.2.A1 () (alf.var "A1" tptp.map_int_int)) 21.02/21.23 (define @v.3.U () (alf.var "U" Int)) 21.02/21.23 (define @v.0.P1 () (alf.var "P1" tptp.lparray_intcm_intrp)) 21.02/21.23 (define @v.1.U () (alf.var "U" tptp.bool)) 21.02/21.23 (define @v.0.X1 () (alf.var "X1" tptp.uni)) 21.02/21.23 (define @v.2.U () (alf.var "U" tptp.tuple0)) 21.02/21.23 (define @v.1.B () (alf.var "B" tptp.ty)) 21.02/21.23 (define @v.0.B2 () (alf.var "B2" tptp.map_int_int)) 21.02/21.23 (define @v.0.J () (alf.var "J" Int)) 21.02/21.23 (define @v.1.B1 () (alf.var "B1" tptp.map_int_int)) 21.02/21.23 (define @v.1.A () (alf.var "A" tptp.ty)) 21.02/21.23 (define @v.0.V () (alf.var "V" tptp.uni)) 21.02/21.23 (define @v.0.Z () (alf.var "Z" Int)) 21.02/21.23 (define @v.0.BOUND_VARIABLE_2254 () (alf.var "BOUND_VARIABLE_2254" tptp.map_int_int)) 21.02/21.23 (define @v.1.X1 () (alf.var "X1" Int)) 21.02/21.23 (define @v.0.B () (alf.var "B" Int)) 21.02/21.23 (define @v.0.K () (alf.var "K" Int)) 21.02/21.23 (define @v.0.L () (alf.var "L" Int)) 21.02/21.23 (define @v.3.X () (alf.var "X" tptp.array_int)) 21.02/21.23 (define @v.2.A () (alf.var "A" tptp.array_int)) 21.02/21.23 (define @v.1.A1 () (alf.var "A1" tptp.uni)) 21.02/21.23 (define @v.0.P () (alf.var "P" tptp.lparray_intcm_intrp)) 21.02/21.23 (define @v.2.I () (alf.var "I" tptp.map_int_int)) 21.02/21.23 (define @v.0.P2 () (alf.var "P2" tptp.lparray_intcm_intrp)) 21.02/21.23 (define @v.2.X () (alf.var "X" tptp.bool)) 21.02/21.23 (define @v.0.U1 () (alf.var "U1" tptp.uni)) 21.02/21.23 (define @v.1.X () (alf.var "X" tptp.uni)) 21.02/21.23 (define @v.0.A () (alf.var "A" Int)) 21.02/21.23 (define @v.0.X2 () (alf.var "X2" tptp.uni)) 21.02/21.23 (define @v.1.V () (alf.var "V" Int)) 21.02/21.23 (define @v.0.X () (alf.var "X" Int)) 21.02/21.23 (define @v.0.N () (alf.var "N" Int)) 21.02/21.23 (define @v.1.J () (alf.var "J" tptp.uni)) 21.02/21.23 (define @v.0.A2 () (alf.var "A2" tptp.uni)) 21.02/21.23 (define @v.0.M () (alf.var "M" tptp.uni)) 21.02/21.23 (define @v.0.I1 () (alf.var "I1" Int)) 21.02/21.23 (define @v.0.C () (alf.var "C" Int)) 21.02/21.23 (define @v.0.E () (alf.var "E" Int)) 21.02/21.23 (define @v.0.J1 () (alf.var "J1" Int)) 21.02/21.23 (define @v.0.F () (alf.var "F" Int)) 21.02/21.23 (define @v.2.B () (alf.var "B" tptp.array_int)) 21.02/21.23 (define @v.1.C () (alf.var "C" tptp.map_int_int)) 21.02/21.23 (define @v.1.I () (alf.var "I" tptp.lparray_intcm_intrp)) 21.02/21.23 (define @v.1.Z () (alf.var "Z" tptp.uni)) 21.02/21.23 (define @v.0.A1 () (alf.var "A1" tptp.ty)) 21.02/21.23 (define @v.4.X () (alf.var "X" tptp.map_int_int)) 21.02/21.23 (define @v.0.Y () (alf.var "Y" Int)) 21.02/21.23 (define @v.0.B1 () (alf.var "B1" tptp.uni)) 21.02/21.23 (define @v.3.A () (alf.var "A" tptp.map_int_int)) 21.02/21.23 (define @v.0.I2 () (alf.var "I2" Int)) 21.02/21.23 (define @v.0.Z1 () (alf.var "Z1" tptp.uni)) 21.02/21.23 (define @v.0.B4 () (alf.var "B4" tptp.map_int_int)) 21.02/21.23 (define @v.5.X () (alf.var "X" tptp.lparray_intcm_intrp)) 21.02/21.23 (define @v.0.B3 () (alf.var "B3" tptp.map_int_int)) 21.02/21.23 (define @t1 () (tptp.num_of @v.0.P @v.0.A @v.0.B)) 21.02/21.23 (define @t2 () (= @t1 0)) 21.02/21.23 (define @t3 () (tptp.eq @v.0.P @v.0.N)) 21.02/21.23 (define @t4 () (<= @v.0.A @v.0.N)) 21.02/21.23 (define @t5 () (< @v.0.N @v.0.B)) 21.02/21.23 (define @t6 () (and @t5 @t4)) 21.02/21.23 (define @t7 () (@list @v.0.N)) 21.02/21.23 (define @t8 () (@list @v.0.P @v.0.A @v.0.B)) 21.02/21.23 (define @t9 () (tptp.num_of @v.0.P @v.0.I @v.0.J)) 21.02/21.23 (define @t10 () (<= @v.0.I @v.0.J)) 21.02/21.23 (define @t11 () (<= @v.0.J @v.0.K)) 21.02/21.23 (define @t12 () (and @t11 @t10)) 21.02/21.23 (define @t13 () (@list @v.0.P @v.0.I @v.0.J @v.0.K)) 21.02/21.23 (define @t14 () (tptp.array @v.1.A)) 21.02/21.23 (define @t15 () (@list @v.1.A @v.0.X @v.0.X1)) 21.02/21.23 (define @t16 () (tptp.map tptp.int @v.1.A)) 21.02/21.23 (define @t17 () (@list @v.1.A @v.1.X)) 21.02/21.23 (define @t18 () (tptp.num_of1 @v.0.P2 @v.0.A @v.0.B)) 21.02/21.23 (define @t19 () (tptp.num_of1 @v.0.P1 @v.0.A @v.0.B)) 21.02/21.23 (define @t20 () (<= @v.0.A @v.0.J)) 21.02/21.23 (define @t21 () (< @v.0.J @v.0.B)) 21.02/21.23 (define @t22 () (@list @v.0.J)) 21.02/21.23 (define @t23 () (forall @t22 (=> (and @t21 @t20) (=> (tptp.lt @v.0.P1 @v.0.J) (tptp.lt @v.0.P2 @v.0.J))))) 21.02/21.23 (define @t24 () (@list @v.0.P1 @v.0.P2 @v.0.A @v.0.B)) 21.02/21.23 (define @t25 () (- @v.0.B @v.0.A)) 21.02/21.23 (define @t26 () (<= @v.0.A @v.0.B)) 21.02/21.23 (define @t27 () (tptp.t2tb @v.1.V)) 21.02/21.23 (define @t28 () (tptp.t2tb2 @v.2.A)) 21.02/21.23 (define @t29 () (tptp.array tptp.int)) 21.02/21.23 (define @t30 () (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t28 @t27))) 21.02/21.23 (define @t31 () (tptp.tb2t (tptp.get1 tptp.int @t28 @v.0.I))) 21.02/21.23 (define @t32 () (@list @v.0.I @v.2.A @v.1.V)) 21.02/21.23 (define @t33 () (@list @v.1.A @v.0.U)) 21.02/21.23 (define @t34 () (@list @v.1.A @v.0.A1 @v.1.X)) 21.02/21.23 (define @t35 () (tptp.k_values @v.2.A)) 21.02/21.23 (define @t36 () (tptp.length tptp.int @t28)) 21.02/21.23 (define @t37 () (@list @v.0.I)) 21.02/21.23 (define @t38 () (@list @v.2.A)) 21.02/21.23 (define @t39 () (tptp.tb2t1 (tptp.elts tptp.int @t28))) 21.02/21.23 (define @t40 () (tptp.tuple2 @v.0.A1 @v.1.A)) 21.02/21.23 (define @t41 () (tptp.num_of1 @v.0.P @v.0.I @v.0.J)) 21.02/21.23 (define @t42 () (and @t10 (< @v.0.K @v.0.L) @t11)) 21.02/21.23 (define @t43 () (@list @v.0.P @v.0.I @v.0.J @v.0.K @v.0.L)) 21.02/21.23 (define @t44 () (tptp.map @v.1.A @v.1.B)) 21.02/21.23 (define @t45 () (<= @v.0.A @v.0.I)) 21.02/21.23 (define @t46 () (< @v.0.I @v.0.B)) 21.02/21.23 (define @t47 () (@list @v.0.P1 @v.0.P2 @v.0.A @v.0.B @v.0.I)) 21.02/21.23 (define @t48 () (<= 0 @v.1.V)) 21.02/21.23 (define @t49 () (< @v.1.V tptp.k)) 21.02/21.23 (define @t50 () (and @t49 @t48)) 21.02/21.23 (define @t51 () (@list @v.1.V)) 21.02/21.23 (define @t52 () (tptp.sort @v.1.B @v.0.B1)) 21.02/21.23 (define @t53 () (tptp.ref @v.1.A)) 21.02/21.23 (define @t54 () (tptp.tuple21 @v.0.A1 @v.1.A @v.0.U @v.0.U1)) 21.02/21.23 (define @t55 () (@list @v.1.A @v.0.A1 @v.0.U @v.0.U1)) 21.02/21.23 (define @t56 () (tptp.get @v.1.B @v.1.A @v.0.M @v.0.A2)) 21.02/21.23 (define @t57 () (tptp.get @v.1.B @v.1.A (tptp.set @v.1.B @v.1.A @v.0.M @v.1.A1 @v.0.B1) @v.0.A2)) 21.02/21.23 (define @t58 () (= @v.1.A1 @v.0.A2)) 21.02/21.23 (define @t59 () (tptp.sort @v.1.A @v.0.A2)) 21.02/21.23 (define @t60 () (tptp.sort @v.1.A @v.1.A1)) 21.02/21.23 (define @t61 () (forall (@list @v.1.A @v.1.B @v.0.M @v.1.A1 @v.0.A2) (=> @t60 (=> @t59 (forall (@list @v.0.B1) (=> (not @t58) (= @t57 @t56))))))) 21.02/21.23 (define @t62 () (@list @v.1.J)) 21.02/21.23 (define @t63 () (<= @v.0.B @v.0.C)) 21.02/21.23 (define @t64 () (@list @v.0.P @v.0.A @v.0.B @v.0.C)) 21.02/21.23 (define @t65 () (tptp.t2tb @v.0.E)) 21.02/21.23 (define @t66 () (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @v.0.B4) @t65))) 21.02/21.23 (define @t67 () (<= 0 @v.0.E)) 21.02/21.23 (define @t68 () (@list @v.0.E)) 21.02/21.23 (define @t69 () (tptp.t2tb1 @v.0.B3)) 21.02/21.23 (define @t70 () (<= 0 @v.0.B)) 21.02/21.23 (define @t71 () (tptp.tb2t (tptp.get tptp.int tptp.int @t69 @t65))) 21.02/21.23 (define @t72 () (tptp.mk_array tptp.int @v.0.B @t69)) 21.02/21.23 (define @t73 () (tptp.t2tb @v.0.F)) 21.02/21.23 (define @t74 () (tptp.t2tb1 @v.2.A1)) 21.02/21.23 (define @t75 () (tptp.mk_array tptp.int @v.0.A @t74)) 21.02/21.23 (define @t76 () (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t75 @t73)) 0 @v.0.A)) 21.02/21.23 (define @t77 () (<= 0 @v.0.F)) 21.02/21.23 (define @t78 () (< @v.0.F @v.1.V)) 21.02/21.23 (define @t79 () (@list @v.0.F)) 21.02/21.23 (define @t80 () (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t75 @t27))) 21.02/21.23 (define @t81 () (tptp.num_of1 @t80 0 @v.0.A)) 21.02/21.23 (define @t82 () (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @v.1.C) @t27))) 21.02/21.23 (define @t83 () (<= 0 tptp.k)) 21.02/21.23 (define @t84 () (tptp.t2tb1 @v.0.B2)) 21.02/21.23 (define @t85 () (tptp.tb2t (tptp.get tptp.int tptp.int @t84 @t65))) 21.02/21.23 (define @t86 () (- tptp.k 1)) 21.02/21.23 (define @t87 () (- @v.0.A 1)) 21.02/21.23 (define @t88 () (not (forall (@list @v.0.A @v.2.A1 @v.0.B @v.1.B1) (=> (and (<= 0 @v.0.A) @t70 (tptp.k_values (tptp.tb2t2 @t75)) (= @v.0.A @v.0.B)) (=> @t83 (=> @t83 (=> (<= 0 @t87) (forall (@list @v.1.C) (=> (forall @t51 (=> @t50 (= @t82 (tptp.num_of @t80 0 (+ @t87 1))))) (=> (<= 0 @t86) (forall (@list @v.0.J @v.0.B2 @v.1.V) (=> (and (<= @v.1.V @t86) @t48) (=> (and (= @v.0.J @t81) (forall @t68 (=> (and (< @v.0.E @v.0.J) @t67) (and (< @t85 @v.1.V) (<= 0 @t85)))) (forall @t79 (=> (and @t77 @t78) (= (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int (tptp.mk_array tptp.int @v.0.B @t84) @t73)) 0 @v.0.J) @t76))) (tptp.sorted_sub @v.0.B2 0 @v.0.J)) (=> (and @t48 @t49 @t83) (=> (<= 1 @t82) (forall (@list @v.0.J1 @v.0.B3 @v.0.I) (=> (and (<= 1 @v.0.I) (<= @v.0.I @t82)) (=> (and (= (+ (- @v.0.J1 @v.0.I) 1) @t81) (tptp.sorted_sub @v.0.B3 0 @v.0.J1) (forall @t79 (=> (and @t78 @t77) (= (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t72 @t73)) 0 @v.0.J1) @t76))) (= (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t72 @t27)) 0 @v.0.J1) (- @v.0.I 1)) (forall @t68 (=> (and (< @v.0.E @v.0.J1) @t67) (and (<= 0 @t71) (<= @t71 @v.1.V))))) (=> (and @t70 (< @v.0.J1 @v.0.B) (<= 0 @v.0.J1)) (forall (@list @v.0.B4) (=> (and @t70 (= @v.0.B4 (tptp.tb2t1 (tptp.set tptp.int tptp.int @t69 (tptp.t2tb @v.0.J1) @t27)))) (forall (@list @v.0.J2) (=> (= @v.0.J2 (+ @v.0.J1 1)) (forall @t68 (=> (and (< @v.0.E @v.0.J2) @t67) (and (<= @t66 @v.1.V) (<= 0 @t66))))))))))))))))))))))))))) 21.02/21.23 (define @t89 () (tptp.mk_array @v.1.A @v.3.U @v.0.U1)) 21.02/21.23 (define @t90 () (@list @v.1.A @v.3.U @v.0.U1)) 21.02/21.23 (define @t91 () (tptp.t2tb1 (tptp.tb2t1 @v.1.J))) 21.02/21.23 (define @t92 () (forall @t62 (= @t91 @v.1.J))) 21.02/21.23 (define @t93 () (- @v.0.B 1)) 21.02/21.23 (define @t94 () (tptp.num_of @v.0.P @v.0.A @t93)) 21.02/21.23 (define @t95 () (tptp.eq @v.0.P @t93)) 21.02/21.23 (define @t96 () (< @v.0.A @v.0.B)) 21.02/21.23 (define @t97 () (+ @v.0.A 1)) 21.02/21.23 (define @t98 () (tptp.num_of1 @v.0.P @t97 @v.0.B)) 21.02/21.23 (define @t99 () (tptp.num_of1 @v.0.P @v.0.A @v.0.B)) 21.02/21.23 (define @t100 () (tptp.lt @v.0.P @v.0.A)) 21.02/21.23 (define @t101 () (tptp.num_of @v.0.P2 @v.0.A @v.0.B)) 21.02/21.23 (define @t102 () (tptp.num_of @v.0.P1 @v.0.A @v.0.B)) 21.02/21.23 (define @t103 () (forall @t22 (=> (and @t20 @t21) (=> (tptp.eq @v.0.P1 @v.0.J) (tptp.eq @v.0.P2 @v.0.J))))) 21.02/21.23 (define @t104 () (tptp.num_of1 @v.0.P @v.0.A @t93)) 21.02/21.23 (define @t105 () (tptp.lt @v.0.P @t93)) 21.02/21.23 (define @t106 () (<= @v.0.B @v.0.A)) 21.02/21.23 (define @t107 () (= @t99 0)) 21.02/21.23 (define @t108 () (tptp.lt @v.0.P @v.0.N)) 21.02/21.23 (define @t109 () (tptp.t2tb @v.0.I)) 21.02/21.23 (define @t110 () (tptp.tb2t @t109)) 21.02/21.23 (define @t111 () (forall @t37 (= @t110 @v.0.I))) 21.02/21.23 (define @t112 () (tptp.length tptp.int (tptp.t2tb2 @v.2.B))) 21.02/21.23 (define @t113 () (tptp.elts @v.1.A @v.1.A1)) 21.02/21.23 (define @t114 () (forall (@list @v.1.A @v.1.B @v.0.M @v.1.A1 @v.0.A2 @v.0.B1) (=> @t52 (=> @t58 (= @t57 @v.0.B1))))) 21.02/21.23 (define @t115 () (tptp.t2tb1 @v.3.A)) 21.02/21.23 (define @t116 () (@list @v.1.A @v.1.Z @v.0.Z1)) 21.02/21.23 (define @t117 () (@list @v.2.A @v.1.V @v.0.I @v.0.J)) 21.02/21.23 (define @t118 () (tptp.num_of @v.0.P @t97 @v.0.B)) 21.02/21.23 (define @t119 () (tptp.eq @v.0.P @v.0.A)) 21.02/21.23 (define @t120 () (tptp.t2tb @v.0.BOUND_VARIABLE_2256)) 21.02/21.23 (define @t121 () (tptp.t2tb1 @v.0.BOUND_VARIABLE_2250)) 21.02/21.23 (define @t122 () (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int @t121 (tptp.t2tb @v.0.BOUND_VARIABLE_2248) @t120))) (tptp.t2tb @v.0.BOUND_VARIABLE_2252)))) 21.02/21.23 (define @t123 () (* -1 @v.0.BOUND_VARIABLE_2248)) 21.02/21.23 (define @t124 () (tptp.tb2t (tptp.get tptp.int tptp.int @t121 @t65))) 21.02/21.23 (define @t125 () (not (>= @v.0.E 0))) 21.02/21.23 (define @t126 () (tptp.mk_array tptp.int @v.0.B @t74)) 21.02/21.23 (define @t127 () (tptp.num_of1 (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t126 @t120)) 0 @v.0.B)) 21.02/21.23 (define @t128 () (tptp.mk_array tptp.int @v.0.B @t121)) 21.02/21.23 (define @t129 () (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t126 @t73)) 0 @v.0.B)) 21.02/21.23 (define @t130 () (not (>= @v.0.F 0))) 21.02/21.23 (define @t131 () (* -1 @v.0.BOUND_VARIABLE_2256)) 21.02/21.23 (define @t132 () (>= (+ @v.0.F @t131) 0)) 21.02/21.23 (define @t133 () (* -1 @t127)) 21.02/21.23 (define @t134 () (tptp.t2tb1 @v.0.BOUND_VARIABLE_2246)) 21.02/21.23 (define @t135 () (tptp.tb2t (tptp.get tptp.int tptp.int @t134 @t120))) 21.02/21.23 (define @t136 () (tptp.t2tb1 @v.0.BOUND_VARIABLE_2254)) 21.02/21.23 (define @t137 () (tptp.tb2t (tptp.get tptp.int tptp.int @t136 @t65))) 21.02/21.23 (define @t138 () (not (>= @v.1.V 0))) 21.02/21.23 (define @t139 () (not (>= (+ tptp.k (* -1 @v.1.V)) 1))) 21.02/21.23 (define @t140 () (or (not (>= @v.0.B 0)) (not (tptp.k_values (tptp.tb2t2 @t126))) (not (>= @v.0.B 1)) (not (forall @t51 (or @t139 @t138 (= (tptp.tb2t (tptp.get tptp.int tptp.int @t134 @t27)) (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t126 @t27)) 0 @v.0.B))))) (not (>= (+ tptp.k @t131) 1)) (not (>= @v.0.BOUND_VARIABLE_2256 0)) (not (forall @t68 (or (>= (+ @v.0.E @t133) 0) @t125 (and (>= (+ @v.0.BOUND_VARIABLE_2256 (* -1 @t137)) 1) (>= @t137 0))))) (not (forall @t79 (or @t130 @t132 (= @t129 (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int (tptp.mk_array tptp.int @v.0.B @t136) @t73)) 0 @t127))))) (not (tptp.sorted_sub @v.0.BOUND_VARIABLE_2254 0 @t127)) (not (>= @t135 1)) (not (>= (+ @v.0.BOUND_VARIABLE_2248 @t133) 0)) (>= (+ @v.0.BOUND_VARIABLE_2248 (* -1 @t135) @t133) 0) (not (tptp.sorted_sub @v.0.BOUND_VARIABLE_2250 0 @v.0.BOUND_VARIABLE_2248)) (not (forall @t79 (or @t132 @t130 (= (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t128 @t73)) 0 @v.0.BOUND_VARIABLE_2248) @t129)))) (not (= @v.0.BOUND_VARIABLE_2248 (+ (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t128 @t120)) 0 @v.0.BOUND_VARIABLE_2248) @t127))) (not (forall @t68 (or (>= (+ @v.0.E @t123) 0) @t125 (and (>= @t124 0) (>= (+ @v.0.BOUND_VARIABLE_2256 (* -1 @t124)) 0))))) (not (>= (+ @v.0.B @t123) 1)) (not (>= @v.0.BOUND_VARIABLE_2248 0)) (not (>= (+ @v.0.BOUND_VARIABLE_2248 (* -1 @v.0.BOUND_VARIABLE_2252)) 0)) (not (>= @v.0.BOUND_VARIABLE_2252 0)) (and (>= (+ @v.0.BOUND_VARIABLE_2256 (* -1 @t122)) 0) (>= @t122 0)))) 21.02/21.23 (define @t141 () (@list @v.2.A1 @v.0.B @v.0.BOUND_VARIABLE_2256 @v.0.BOUND_VARIABLE_2254 @v.0.BOUND_VARIABLE_2252 @v.0.BOUND_VARIABLE_2250 @v.0.BOUND_VARIABLE_2248 @v.0.BOUND_VARIABLE_2246)) 21.02/21.23 (define @t142 () (exists @t141 (not @t140))) 21.02/21.23 (define @t143 () (@quantifiers_skolemize @t142 @v.0.BOUND_VARIABLE_2248)) 21.02/21.23 (define @t144 () (@list @t143)) 21.02/21.23 (define @t145 () (@quantifiers_skolemize @t142 @v.0.BOUND_VARIABLE_2252)) 21.02/21.23 (define @t146 () (= @t145 @t143)) 21.02/21.23 (define @t147 () (tptp.t2tb @t145)) 21.02/21.23 (define @t148 () (tptp.t2tb @t143)) 21.02/21.23 (define @t149 () (= @t148 @t147)) 21.02/21.23 (define @t150 () (@quantifiers_skolemize @t142 @v.0.BOUND_VARIABLE_2256)) 21.02/21.23 (define @t151 () (tptp.t2tb @t150)) 21.02/21.23 (define @t152 () (@quantifiers_skolemize @t142 @v.0.BOUND_VARIABLE_2250)) 21.02/21.23 (define @t153 () (tptp.t2tb1 @t152)) 21.02/21.23 (define @t154 () (tptp.set tptp.int tptp.int @t153 @t148 @t151)) 21.02/21.23 (define @t155 () (@list @t150)) 21.02/21.23 (define @t156 () (= @t151 (tptp.get tptp.int tptp.int @t154 @t148))) 21.02/21.23 (define @t157 () (not (tptp.sort tptp.int @t151))) 21.02/21.23 (define @t158 () (or @t157 @t156)) 21.02/21.23 (define @t159 () (not @t156)) 21.02/21.23 (define @t160 () (= @t150 (tptp.tb2t @t151))) 21.02/21.23 (define @t161 () (not @t160)) 21.02/21.23 (define @t162 () (tptp.t2tb1 (tptp.tb2t1 @t154))) 21.02/21.23 (define @t163 () (= @t154 @t162)) 21.02/21.23 (define @t164 () (not @t163)) 21.02/21.23 (define @t165 () (not @t149)) 21.02/21.23 (define @t166 () (tptp.tb2t (tptp.get tptp.int tptp.int @t162 @t147))) 21.02/21.23 (define @t167 () (* -1 @t166)) 21.02/21.23 (define @t168 () (+ @t150 @t167)) 21.02/21.23 (define @t169 () (>= @t168 0)) 21.02/21.23 (define @t170 () (not @t169)) 21.02/21.23 (define @t171 () (= @t150 @t166)) 21.02/21.23 (define @t172 () (not @t171)) 21.02/21.23 (define @t173 () (< @t168 0)) 21.02/21.23 (define @t174 () (* -1 @t150)) 21.02/21.23 (define @t175 () (and @t172 @t171)) 21.02/21.23 (define @t176 () (forall @t141 @t140)) 21.02/21.23 (define @t177 () (>= @t166 0)) 21.02/21.23 (define @t178 () (and @t169 @t177)) 21.02/21.23 (define @t179 () (>= @t145 0)) 21.02/21.23 (define @t180 () (not @t179)) 21.02/21.23 (define @t181 () (* -1 @t143)) 21.02/21.23 (define @t182 () (+ @t145 @t181)) 21.02/21.23 (define @t183 () (>= @t182 1)) 21.02/21.23 (define @t184 () (not (>= @t143 0))) 21.02/21.23 (define @t185 () (@quantifiers_skolemize @t142 @v.0.B)) 21.02/21.23 (define @t186 () (not (>= (+ @t185 @t181) 1))) 21.02/21.23 (define @t187 () (tptp.tb2t (tptp.get tptp.int tptp.int @t153 @t65))) 21.02/21.23 (define @t188 () (forall @t68 (or (>= (+ @v.0.E @t181) 0) @t125 (and (>= @t187 0) (>= (+ @t150 (* -1 @t187)) 0))))) 21.02/21.23 (define @t189 () (not @t188)) 21.02/21.23 (define @t190 () (tptp.mk_array tptp.int @t185 @t153)) 21.02/21.23 (define @t191 () (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t190 @t151)) 0 @t143)) 21.02/21.23 (define @t192 () (tptp.mk_array tptp.int @t185 (tptp.t2tb1 (@quantifiers_skolemize @t142 @v.2.A1)))) 21.02/21.23 (define @t193 () (tptp.num_of1 (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t192 @t151)) 0 @t185)) 21.02/21.23 (define @t194 () (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t190 @t73)) 0 @t143)) 21.02/21.23 (define @t195 () (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t192 @t73)) 0 @t185)) 21.02/21.23 (define @t196 () (>= (+ @v.0.F @t174) 0)) 21.02/21.23 (define @t197 () (not (tptp.sorted_sub @t152 0 @t143))) 21.02/21.23 (define @t198 () (tptp.t2tb1 (@quantifiers_skolemize @t142 @v.0.BOUND_VARIABLE_2246))) 21.02/21.23 (define @t199 () (tptp.tb2t (tptp.get tptp.int tptp.int @t198 @t151))) 21.02/21.23 (define @t200 () (* -1 @t199)) 21.02/21.23 (define @t201 () (* -1 @t193)) 21.02/21.23 (define @t202 () (not (>= (+ @t143 @t201) 0))) 21.02/21.23 (define @t203 () (not (>= @t199 1))) 21.02/21.23 (define @t204 () (@quantifiers_skolemize @t142 @v.0.BOUND_VARIABLE_2254)) 21.02/21.23 (define @t205 () (not (tptp.sorted_sub @t204 0 @t193))) 21.02/21.23 (define @t206 () (tptp.t2tb1 @t204)) 21.02/21.23 (define @t207 () (not (forall @t79 (or @t130 @t196 (= @t195 (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int (tptp.mk_array tptp.int @t185 @t206) @t73)) 0 @t193)))))) 21.02/21.23 (define @t208 () (tptp.tb2t (tptp.get tptp.int tptp.int @t206 @t65))) 21.02/21.23 (define @t209 () (not (forall @t68 (or (>= (+ @v.0.E @t201) 0) @t125 (and (>= (+ @t150 (* -1 @t208)) 1) (>= @t208 0)))))) 21.02/21.23 (define @t210 () (>= @t150 0)) 21.02/21.23 (define @t211 () (not @t210)) 21.02/21.23 (define @t212 () (not (>= (+ tptp.k @t174) 1))) 21.02/21.23 (define @t213 () (not (forall @t51 (or @t139 @t138 (= (tptp.tb2t (tptp.get tptp.int tptp.int @t198 @t27)) (tptp.num_of (tptp.tb2t3 (tptp.tuple21 @t29 tptp.int @t192 @t27)) 0 @t185)))))) 21.02/21.23 (define @t214 () (not (>= @t185 1))) 21.02/21.23 (define @t215 () (not (tptp.k_values (tptp.tb2t2 @t192)))) 21.02/21.23 (define @t216 () (not (>= @t185 0))) 21.02/21.23 (define @t217 () (or @t216 @t215 @t214 @t213 @t212 @t211 @t209 @t207 @t205 @t203 @t202 (>= (+ @t143 @t201 @t200) 0) @t197 (not (forall @t79 (or @t196 @t130 (= @t195 @t194)))) (not (= @t143 (+ @t193 @t191))) @t189 @t186 @t184 @t183 @t180 @t178)) 21.02/21.23 (define @t218 () (not @t217)) 21.02/21.23 (define @t219 () (not @t176)) 21.02/21.23 (define @t220 () (not (or @t216 @t215 @t214 @t213 @t212 @t211 @t209 @t207 @t205 @t203 @t202 (>= (+ @t143 @t200 @t201) 0) @t197 (not (forall @t79 (or @t196 @t130 (= @t194 @t195)))) (not (= @t143 (+ @t191 @t193))) @t189 @t186 @t184 (not (>= (+ @t143 (* -1 @t145)) 0)) @t180 @t178))) 21.02/21.23 (define @t221 () (not @t177)) 21.02/21.23 (define @t222 () (not @t146)) 21.02/21.23 (define @t223 () (< @t166 0)) 21.02/21.23 (define @t224 () (* -1 0)) 21.02/21.23 (define @t225 () (+ @t224 0 0)) 21.02/21.23 (define @t226 () (and @t171 @t221 @t210)) 21.02/21.23 (define @t227 () (@list @t145)) 21.02/21.23 (define @t228 () (not @t183)) 21.02/21.23 (define @t229 () (>= @t182 0)) 21.02/21.23 (define @t230 () (not @t229)) 21.02/21.23 (define @t231 () (and @t228 @t222)) 21.02/21.23 (define @t232 () (tptp.get tptp.int tptp.int @t153 @t147)) 21.02/21.23 (define @t233 () (tptp.tb2t @t232)) 21.02/21.23 (define @t234 () (* -1 @t233)) 21.02/21.23 (define @t235 () (+ @t150 @t234)) 21.02/21.23 (define @t236 () (>= @t235 0)) 21.02/21.23 (define @t237 () (>= @t233 0)) 21.02/21.23 (define @t238 () (and @t237 @t236)) 21.02/21.23 (define @t239 () (or @t229 @t180 @t238)) 21.02/21.23 (define @t240 () (not @t238)) 21.02/21.23 (define @t241 () (= @t232 (tptp.get tptp.int tptp.int @t154 @t147))) 21.02/21.23 (define @t242 () (not @t241)) 21.02/21.23 (define @t243 () (= @t166 @t233)) 21.02/21.23 (define @t244 () (+ @t166 @t234)) 21.02/21.23 (define @t245 () (= @t244 0)) 21.02/21.23 (define @t246 () (and @t237 @t243 @t221)) 21.02/21.23 (define @t247 () (not @t236)) 21.02/21.23 (define @t248 () (and @t170 @t243 @t236)) 21.02/21.23 (define @t249 () (not (tptp.sort tptp.int @t147))) 21.02/21.23 (define @t250 () (not (tptp.sort tptp.int @t148))) 21.02/21.23 (define @t251 () (or @t250 @t249 @t149 @t241)) 21.02/21.23 (define @t252 () (= @t143 (tptp.tb2t @t148))) 21.02/21.23 (define @t253 () (= @t145 (tptp.tb2t @t147))) 21.02/21.23 (define @t254 () (and @t149 @t252 @t253)) 21.02/21.23 (assume @p1 (forall @t8 (=> (forall @t7 (=> @t6 (not @t3))) @t2))) 21.02/21.23 (assume @p2 (forall @t13 (=> @t12 (<= @t9 (tptp.num_of @v.0.P @v.0.I @v.0.K))))) 21.02/21.23 (assume @p3 (forall (@list @v.1.A) (tptp.sort @v.1.A (tptp.witness @v.1.A)))) 21.02/21.23 (assume @p4 (forall (@list @v.1.A @v.0.N @v.0.V) (= (tptp.make @v.1.A @v.0.N @v.0.V) (tptp.mk_array @v.1.A @v.0.N (tptp.const @v.1.A tptp.int @v.0.V))))) 21.02/21.23 (assume @p5 (forall @t15 (tptp.sort @t14 (tptp.make @v.1.A @v.0.X @v.0.X1)))) 21.02/21.23 (assume @p6 (forall @t17 (tptp.sort @t16 (tptp.elts @v.1.A @v.1.X)))) 21.02/21.23 (assume @p7 (forall @t24 (=> @t23 (<= @t19 @t18)))) 21.02/21.23 (assume @p8 (forall @t8 (=> @t26 (=> (forall @t7 (=> (and @t4 @t5) @t3)) (= @t1 @t25))))) 21.02/21.23 (assume @p9 (forall (@list @v.1.A @v.1.X @v.1.X1 @v.0.X2) (tptp.sort @t14 (tptp.set1 @v.1.A @v.1.X @v.1.X1 @v.0.X2)))) 21.02/21.23 (assume @p10 (forall @t32 (= (< @t31 @v.1.V) (tptp.lt @t30 @v.0.I)))) 21.02/21.23 (assume @p11 (forall @t17 (tptp.sort @v.1.A (tptp.contents @v.1.A @v.1.X)))) 21.02/21.23 (assume @p12 (forall @t33 (=> (tptp.sort @v.1.A @v.0.U) (= (tptp.contents @v.1.A (tptp.mk_ref @v.1.A @v.0.U)) @v.0.U)))) 21.02/21.23 (assume @p13 (forall (@list @v.1.U) (or (= @v.1.U tptp.false) (= @v.1.U tptp.true)))) 21.02/21.23 (assume @p14 (forall @t34 (tptp.sort @v.0.A1 (tptp.tuple2_proj_1 @v.0.A1 @v.1.A @v.1.X)))) 21.02/21.23 (assume @p15 (forall @t38 (= (forall @t37 (=> (and (<= 0 @v.0.I) (< @v.0.I @t36)) (and (<= 0 @t31) (< @t31 tptp.k)))) @t35))) 21.02/21.23 (assume @p16 (forall (@list @v.0.X) (tptp.sort tptp.int (tptp.t2tb @v.0.X)))) 21.02/21.23 (assume @p17 (forall (@list @v.2.U) (= @v.2.U tptp.tuple02))) 21.02/21.23 (assume @p18 (forall (@list @v.1.A @v.2.X @v.0.X1 @v.0.X2) (tptp.sort @v.1.A (tptp.match_bool @v.1.A @v.2.X @v.0.X1 @v.0.X2)))) 21.02/21.23 (assume @p19 (forall @t38 (= (tptp.sorted_sub @t39 0 @t36) (tptp.sorted @v.2.A)))) 21.02/21.23 (assume @p20 (not (= tptp.true tptp.false))) 21.02/21.23 (assume @p21 (forall (@list @v.3.X) (tptp.sort @t29 (tptp.t2tb2 @v.3.X)))) 21.02/21.23 (assume @p22 (forall (@list @v.1.A @v.0.A1 @v.1.X @v.0.X1) (tptp.sort @t40 (tptp.tuple21 @v.0.A1 @v.1.A @v.1.X @v.0.X1)))) 21.02/21.23 (assume @p23 (forall @t43 (=> @t42 (=> (tptp.lt @v.0.P @v.0.K) (< @t41 (tptp.num_of1 @v.0.P @v.0.I @v.0.L)))))) 21.02/21.23 (assume @p24 (forall (@list @v.1.A @v.1.B @v.1.X @v.0.X1 @v.0.X2) (tptp.sort @t44 (tptp.set @v.1.B @v.1.A @v.1.X @v.0.X1 @v.0.X2)))) 21.02/21.23 (assume @p25 (forall @t47 (=> (and @t46 @t45) (=> @t23 (=> (not (tptp.lt @v.0.P1 @v.0.I)) (=> (tptp.lt @v.0.P2 @v.0.I) (< @t19 @t18))))))) 21.02/21.23 (assume @p26 (forall @t38 (=> @t35 (forall @t51 (=> @t50 (forall (@list @v.0.L @v.3.U) (=> (and (<= @v.3.U @t36) (< @v.0.L @v.3.U) (<= 0 @v.0.L)) (= (+ (tptp.numlt @v.2.A @v.1.V @v.0.L @v.3.U) (tptp.numeq @v.2.A @v.1.V @v.0.L @v.3.U)) (tptp.numlt @v.2.A (+ @v.1.V 1) @v.0.L @v.3.U))))))))) 21.02/21.23 (assume @p27 (forall @t33 (= @v.0.U (tptp.mk_array @v.1.A (tptp.length @v.1.A @v.0.U) (tptp.elts @v.1.A @v.0.U))))) 21.02/21.23 (assume @p28 (forall (@list @v.1.A @v.1.B @v.0.B1 @v.1.A1) (=> @t52 (= (tptp.get @v.1.B @v.1.A (tptp.const @v.1.B @v.1.A @v.0.B1) @v.1.A1) @v.0.B1)))) 21.02/21.23 (assume @p29 (forall @t33 (=> (tptp.sort @t53 @v.0.U) (= @v.0.U (tptp.mk_ref @v.1.A (tptp.contents @v.1.A @v.0.U)))))) 21.02/21.23 (assume @p30 (forall @t55 (=> (tptp.sort @v.0.A1 @v.0.U) (= (tptp.tuple2_proj_1 @v.0.A1 @v.1.A @t54) @v.0.U)))) 21.02/21.23 (assume @p31 (forall (@list @v.1.A @v.1.B @v.1.X @v.0.X1) (tptp.sort @v.1.B (tptp.get @v.1.B @v.1.A @v.1.X @v.0.X1)))) 21.02/21.23 (assume @p32 @t61) 21.02/21.23 (assume @p33 (forall @t62 (= (tptp.t2tb (tptp.tb2t @v.1.J)) @v.1.J))) 21.02/21.23 (assume @p34 (forall @t62 (= (tptp.t2tb3 (tptp.tb2t3 @v.1.J)) @v.1.J))) 21.02/21.23 (assume @p35 (forall @t64 (=> (and @t26 @t63) (= (tptp.num_of @v.0.P @v.0.A @v.0.C) (+ @t1 (tptp.num_of @v.0.P @v.0.B @v.0.C)))))) 21.02/21.23 (assume @p36 @t88) 21.02/21.23 (assume @p37 (forall @t15 (tptp.sort @t14 (tptp.mk_array @v.1.A @v.0.X @v.0.X1)))) 21.02/21.23 (assume @p38 (forall @t90 (= (tptp.length @v.1.A @t89) @v.3.U))) 21.02/21.23 (assume @p39 @t92) 21.02/21.23 (assume @p40 (forall @t8 (=> @t96 (=> @t95 (= @t1 (+ 1 @t94)))))) 21.02/21.23 (assume @p41 (forall @t8 (=> @t96 (=> (not @t100) (= @t99 @t98))))) 21.02/21.23 (assume @p42 (forall @t24 (=> @t103 (<= @t102 @t101)))) 21.02/21.23 (assume @p43 (forall @t90 (=> (tptp.sort @t16 @v.0.U1) (= (tptp.elts @v.1.A @t89) @v.0.U1)))) 21.02/21.23 (assume @p44 (forall @t8 (=> @t96 (and (<= @t1 @t25) (<= 0 @t1))))) 21.02/21.23 (assume @p45 (forall @t13 (=> @t12 (<= @t41 (tptp.num_of1 @v.0.P @v.0.I @v.0.K))))) 21.02/21.23 (assume @p46 (forall (@list @v.1.I) (= (tptp.tb2t3 (tptp.t2tb3 @v.1.I)) @v.1.I))) 21.02/21.23 (assume @p47 (forall (@list @v.4.X) (tptp.sort (tptp.map tptp.int tptp.int) (tptp.t2tb1 @v.4.X)))) 21.02/21.23 (assume @p48 (forall @t8 (=> @t96 (=> (not @t105) (= @t99 @t104))))) 21.02/21.23 (assume @p49 (forall @t47 (=> (and @t45 @t46) (=> @t103 (=> (not (tptp.eq @v.0.P1 @v.0.I)) (=> (tptp.eq @v.0.P2 @v.0.I) (< @t102 @t101))))))) 21.02/21.23 (assume @p50 (forall @t43 (=> @t42 (=> (tptp.eq @v.0.P @v.0.K) (< @t9 (tptp.num_of @v.0.P @v.0.I @v.0.L)))))) 21.02/21.23 (assume @p51 (forall @t8 (=> @t106 @t2))) 21.02/21.23 (assume @p52 (forall @t8 (=> (forall @t7 (=> @t6 (not @t108))) @t107))) 21.02/21.23 (assume @p53 (forall @t17 (tptp.sort @t53 (tptp.mk_ref @v.1.A @v.1.X)))) 21.02/21.23 (assume @p54 @t111) 21.02/21.23 (assume @p55 (forall (@list @v.2.A @v.2.B) (= (tptp.permut @v.2.A @v.2.B) (and (= @t36 @t112) (forall @t51 (=> @t50 (= (tptp.numeq @v.2.A @v.1.V 0 @t36) (tptp.numeq @v.2.B @v.1.V 0 @t112)))))))) 21.02/21.23 (assume @p56 (forall @t8 (=> @t96 (=> @t100 (= @t99 (+ 1 @t98)))))) 21.02/21.23 (assume @p57 (forall (@list @v.0.X @v.0.Y @v.0.Z) (=> (<= @v.0.X @v.0.Y) (=> (<= 0 @v.0.Z) (<= (* @v.0.X @v.0.Z) (* @v.0.Y @v.0.Z)))))) 21.02/21.23 (assume @p58 (forall @t62 (= (tptp.t2tb2 (tptp.tb2t2 @v.1.J)) @v.1.J))) 21.02/21.23 (assume @p59 (forall @t32 (= (tptp.eq @t30 @v.0.I) (= @t31 @v.1.V)))) 21.02/21.23 (assume @p60 (forall @t8 (=> @t96 (and (<= @t99 @t25) (<= 0 @t99))))) 21.02/21.23 (assume @p61 (forall (@list @v.1.A @v.1.X @v.1.X1) (tptp.sort @v.1.A (tptp.get1 @v.1.A @v.1.X @v.1.X1)))) 21.02/21.23 (assume @p62 (forall (@list @v.1.A @v.1.A1 @v.0.I) (= (tptp.get1 @v.1.A @v.1.A1 @v.0.I) (tptp.get @v.1.A tptp.int @t113 @t109)))) 21.02/21.23 (assume @p63 (forall @t8 (=> @t26 (=> (forall @t7 (=> @t6 @t108)) (= @t99 @t25))))) 21.02/21.23 (assume @p64 (forall @t34 (tptp.sort @v.1.A (tptp.tuple2_proj_2 @v.0.A1 @v.1.A @v.1.X)))) 21.02/21.23 (assume @p65 @t114) 21.02/21.23 (assume @p66 (forall (@list @v.2.I) (= (tptp.tb2t1 (tptp.t2tb1 @v.2.I)) @v.2.I))) 21.02/21.23 (assume @p67 (forall @t8 (=> @t106 @t107))) 21.02/21.23 (assume @p68 (forall @t64 (=> (and @t63 @t26) (= (tptp.num_of1 @v.0.P @v.0.A @v.0.C) (+ @t99 (tptp.num_of1 @v.0.P @v.0.B @v.0.C)))))) 21.02/21.23 (assume @p69 (forall (@list @v.1.A @v.0.A1 @v.0.U) (=> (tptp.sort @t40 @v.0.U) (= @v.0.U (tptp.tuple21 @v.0.A1 @v.1.A (tptp.tuple2_proj_1 @v.0.A1 @v.1.A @v.0.U) (tptp.tuple2_proj_2 @v.0.A1 @v.1.A @v.0.U)))))) 21.02/21.23 (assume @p70 (forall (@list @v.1.A @v.1.B @v.1.X) (tptp.sort @t44 (tptp.const @v.1.B @v.1.A @v.1.X)))) 21.02/21.23 (assume @p71 (forall (@list @v.3.A @v.0.L @v.3.U) (= (forall (@list @v.0.I1 @v.0.I2) (=> (and (<= @v.0.I1 @v.0.I2) (< @v.0.I2 @v.3.U) (<= @v.0.L @v.0.I1)) (<= (tptp.tb2t (tptp.get tptp.int tptp.int @t115 (tptp.t2tb @v.0.I1))) (tptp.tb2t (tptp.get tptp.int tptp.int @t115 (tptp.t2tb @v.0.I2)))))) (tptp.sorted_sub @v.3.A @v.0.L @v.3.U)))) 21.02/21.23 (assume @p72 (forall @t116 (=> (tptp.sort @v.1.A @v.1.Z) (= (tptp.match_bool @v.1.A tptp.true @v.1.Z @v.0.Z1) @v.1.Z)))) 21.02/21.23 (assume @p73 (forall @t117 (= (tptp.numlt @v.2.A @v.1.V @v.0.I @v.0.J) (tptp.num_of1 @t30 @v.0.I @v.0.J)))) 21.02/21.23 (assume @p74 (forall @t55 (=> (tptp.sort @v.1.A @v.0.U1) (= (tptp.tuple2_proj_2 @v.0.A1 @v.1.A @t54) @v.0.U1)))) 21.02/21.23 (assume @p75 (forall @t8 (=> @t96 (=> (not @t119) (= @t1 @t118))))) 21.02/21.23 (assume @p76 (forall @t8 (=> @t96 (=> @t119 (= @t1 (+ 1 @t118)))))) 21.02/21.23 (assume @p77 (forall (@list @v.5.X) (tptp.sort (tptp.tuple2 @t29 tptp.int) (tptp.t2tb3 @v.5.X)))) 21.02/21.23 (assume @p78 (forall (@list @v.2.A @v.0.L @v.3.U) (= (tptp.sorted_sub1 @v.2.A @v.0.L @v.3.U) (tptp.sorted_sub @t39 @v.0.L @v.3.U)))) 21.02/21.23 (assume @p79 (forall (@list @v.3.I) (= (tptp.tb2t2 (tptp.t2tb2 @v.3.I)) @v.3.I))) 21.02/21.23 (assume @p80 (forall (@list @v.1.A @v.1.A1 @v.0.I @v.0.V) (= (tptp.set1 @v.1.A @v.1.A1 @v.0.I @v.0.V) (tptp.mk_array @v.1.A (tptp.length @v.1.A @v.1.A1) (tptp.set @v.1.A tptp.int @t113 @t109 @v.0.V))))) 21.02/21.23 (assume @p81 (forall @t117 (= (tptp.numeq @v.2.A @v.1.V @v.0.I @v.0.J) (tptp.num_of @t30 @v.0.I @v.0.J)))) 21.02/21.23 (assume @p82 (forall @t116 (=> (tptp.sort @v.1.A @v.0.Z1) (= (tptp.match_bool @v.1.A tptp.false @v.1.Z @v.0.Z1) @v.0.Z1)))) 21.02/21.23 (assume @p83 (< 0 tptp.k)) 21.02/21.23 (assume @p84 (forall @t8 (=> @t96 (=> @t105 (= @t99 (+ 1 @t104)))))) 21.02/21.23 (assume @p85 (forall @t8 (=> @t96 (=> (not @t95) (= @t1 @t94))))) 21.02/21.23 (assume @p86 true) 21.02/21.23 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 21.02/21.23 ; trust MACRO_SR_EQ_INTRO 21.02/21.23 (step @p87 :rule trust :premises () :args ((= @t111 (forall @t37 (= @v.0.I @t110))))) 21.02/21.23 (step @p88 :rule eq_resolve :premises (@p54 @p87)) 21.02/21.23 (step @p89 :rule instantiate :premises (@p88) :args (@t144)) 21.02/21.23 (assume-push @p90 @t146) 21.02/21.23 (assume-push @p91 @t146) 21.02/21.23 (step @p92 :rule symm :premises (@p90)) 21.02/21.23 (step @p93 :rule cong :premises (@p92) :args (tptp.t2tb)) 21.02/21.23 (step-pop @p430 :rule scope :premises (@p93)) 21.02/21.23 (step @p94 :rule process_scope :premises (@p430) :args (@t149)) 21.02/21.23 (step @p96 :rule modus_ponens :premises (@p90 @p94)) 21.02/21.23 (step-pop @p431 :rule scope :premises (@p96)) 21.02/21.23 (step @p97 :rule process_scope :premises (@p431) :args (@t149)) 21.02/21.23 (step @p99 :rule implies_elim :premises (@p97)) 21.02/21.23 ; trust MACRO_SR_EQ_INTRO 21.02/21.23 (step @p100 :rule trust :premises () :args ((= @t92 (forall @t62 (= @v.1.J @t91))))) 21.02/21.23 (step @p101 :rule eq_resolve :premises (@p39 @p100)) 21.02/21.23 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t154))) 21.02/21.23 (step @p103 :rule instantiate :premises (@p88) :args (@t155)) 21.02/21.23 ; trust MACRO_SR_EQ_INTRO 21.02/21.23 (step @p104 :rule trust :premises () :args ((= @t114 (forall (@list @v.1.A @v.1.B @v.0.M @v.0.A2 @v.0.B1) (or (not @t52) (= @v.0.B1 (tptp.get @v.1.B @v.1.A (tptp.set @v.1.B @v.1.A @v.0.M @v.0.A2 @v.0.B1) @v.0.A2))))))) 21.02/21.23 (step @p105 :rule eq_resolve :premises (@p65 @p104)) 21.02/21.23 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.int tptp.int @t153 @t148 @t151))) 21.02/21.23 (step @p107 :rule instantiate :premises (@p16) :args (@t155)) 21.02/21.23 (step @p108 :rule cnf_or_pos :args (@t158)) 21.02/21.23 (step @p109 :rule reordering :premises (@p108) :args ((or @t157 @t156 (not @t158)))) 21.02/21.23 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p110 :rule trust :premises (@p109 @p107 @p106) :args (@t156)) 21.02/21.23 (step @p111 :rule refl :args (@t159)) 21.02/21.23 (step @p112 :rule refl :args (@t161)) 21.02/21.23 (step @p113 :rule refl :args (@t164)) 21.02/21.23 (step @p114 :rule refl :args (@t165)) 21.02/21.23 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p115 :rule trust :premises () :args ((= (not @t170) @t169))) 21.02/21.23 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111) :args (or)) 21.02/21.23 (assume-push @p117 @t172) 21.02/21.23 (assume-push @p118 @t171) 21.02/21.23 (step @p119 :rule true_intro :premises (@p118)) 21.02/21.23 (step @p120 :rule false_intro :premises (@p117)) 21.02/21.23 (step @p121 :rule symm :premises (@p120)) 21.02/21.23 (step @p122 :rule trans :premises (@p121 @p119)) 21.02/21.23 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 21.02/21.23 ; trust MACRO_SR_PRED_ELIM 21.02/21.23 (step @p123 false :rule trust :premises (@p122) :args (false)) 21.02/21.23 (step-pop @p432 :rule scope :premises (@p123)) 21.02/21.23 (step-pop @p433 :rule scope :premises (@p432)) 21.02/21.23 (step @p124 :rule process_scope :premises (@p433) :args (false)) 21.02/21.23 (assume-push @p127 @t170) 21.02/21.23 (assume-push @p128 @t149) 21.02/21.23 (assume-push @p129 @t163) 21.02/21.23 (assume-push @p130 @t160) 21.02/21.23 (assume-push @p131 @t156) 21.02/21.23 (assume-push @p132 @t163) 21.02/21.23 (assume-push @p133 @t149) 21.02/21.23 (assume-push @p134 @t156) 21.02/21.23 (assume-push @p135 @t160) 21.02/21.23 (step @p136 :rule refl :args (@t147)) 21.02/21.23 (step @p137 :rule refl :args (tptp.int)) 21.02/21.23 (step @p138 :rule cong :premises (@p137 @p137 @p102 @p136) :args (tptp.get)) 21.02/21.23 (step @p139 :rule symm :premises (@p128)) 21.02/21.23 (step @p140 :rule symm :premises (@p139)) 21.02/21.23 (step @p141 :rule refl :args (@t154)) 21.02/21.23 (step @p142 :rule cong :premises (@p137 @p137 @p141 @p140) :args (tptp.get)) 21.02/21.23 (step @p143 :rule trans :premises (@p110 @p142 @p138)) 21.02/21.23 (step @p144 :rule cong :premises (@p143) :args (tptp.tb2t)) 21.02/21.23 (step @p145 :rule trans :premises (@p103 @p144)) 21.02/21.23 (step-pop @p434 :rule scope :premises (@p145)) 21.02/21.23 (step-pop @p435 :rule scope :premises (@p434)) 21.02/21.23 (step-pop @p436 :rule scope :premises (@p435)) 21.02/21.23 (step-pop @p437 :rule scope :premises (@p436)) 21.02/21.23 (step @p146 :rule process_scope :premises (@p437) :args (@t171)) 21.02/21.23 (step @p151 :rule and_intro :premises (@p102 @p128 @p110 @p103)) 21.02/21.23 (step @p152 :rule modus_ponens :premises (@p151 @p146)) 21.02/21.23 (assume-push @p153 @t170) 21.02/21.23 (assume-push @p154 @t171) 21.02/21.23 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p155 :rule trust :premises (@p127) :args (@t173)) 21.02/21.23 (step @p156 :rule int_tight_ub :premises (@p155)) 21.02/21.23 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 21.02/21.23 ; trust MACRO_ARITH_SCALE_SUM_UB 21.02/21.23 (step @p157 :rule trust :premises (@p118 @p156) :args ((<= (+ @t174 @t168) (+ @t167 -1)))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p158 false :rule trust :premises (@p157) :args (false)) 21.02/21.23 (step-pop @p438 :rule scope :premises (@p158)) 21.02/21.23 (step @p159 :rule process_scope :premises (@p438) :args (false)) 21.02/21.23 (step-pop @p439 :rule scope :premises (@p159)) 21.02/21.23 (step @p161 :rule process_scope :premises (@p439) :args (@t172)) 21.02/21.23 (step @p163 :rule modus_ponens :premises (@p127 @p161)) 21.02/21.23 (step @p164 :rule and_intro :premises (@p163 @p152)) 21.02/21.23 (step-pop @p440 :rule scope :premises (@p164)) 21.02/21.23 (step-pop @p441 :rule scope :premises (@p440)) 21.02/21.23 (step-pop @p442 :rule scope :premises (@p441)) 21.02/21.23 (step-pop @p443 :rule scope :premises (@p442)) 21.02/21.23 (step-pop @p444 :rule scope :premises (@p443)) 21.02/21.23 (step @p165 :rule process_scope :premises (@p444) :args (@t175)) 21.02/21.23 (step @p171 :rule implies_elim :premises (@p165)) 21.02/21.23 (step @p172 :rule resolution :premises (@p171 @p124) :args (true @t175)) 21.02/21.23 (step @p173 :rule not_and :premises (@p172)) 21.02/21.23 (step @p174 :rule eq_resolve :premises (@p173 @p116)) 21.02/21.23 (step @p175 :rule reordering :premises (@p174) :args ((or @t169 @t164 @t161 @t159 @t165))) 21.02/21.23 ; trust MACRO_SR_EQ_INTRO 21.02/21.23 (step @p176 :rule trust :premises () :args ((= @t88 (not (or (not (>= tptp.k 0)) (not (>= tptp.k 1)) @t176))))) 21.02/21.23 (step @p177 :rule eq_resolve :premises (@p36 @p176)) 21.02/21.23 (step @p178 :rule not_or_elim :premises (@p177) :args (2)) 21.02/21.23 (step @p179 :rule refl :args (@t218)) 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p180 :rule trust :premises () :args ((= (not @t219) @t176))) 21.02/21.23 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (or)) 21.02/21.23 ; WARNING: add trust step for MACRO_REWRITE 21.02/21.23 ; trust MACRO_REWRITE 21.02/21.23 (step @p182 :rule trust :premises () :args ((= (=> @t219 @t220) (=> @t219 @t218)))) 21.02/21.23 (assume-push @p183 @t219) 21.02/21.23 (step @p184 :rule skolemize :premises (@p178)) 21.02/21.23 (step-pop @p445 :rule scope :premises (@p184)) 21.02/21.23 (step @p185 :rule process_scope :premises (@p445) :args (@t220)) 21.02/21.23 (step @p187 :rule eq_resolve :premises (@p185 @p182)) 21.02/21.23 (step @p188 :rule implies_elim :premises (@p187)) 21.02/21.23 (step @p189 :rule eq_resolve :premises (@p188 @p181)) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p190 :rule trust :premises (@p189 @p178) :args (@t218)) 21.02/21.23 (step @p191 :rule cnf_or_neg :args (@t217 20)) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p192 :rule trust :premises (@p191 @p190) :args ((not @t178))) 21.02/21.23 (step @p193 :rule cnf_and_neg :args (@t178)) 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p194 :rule trust :premises () :args ((= (not @t211) @t210))) 21.02/21.23 (step @p195 :rule refl :args (@t217)) 21.02/21.23 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (or)) 21.02/21.23 (step @p197 :rule cnf_or_neg :args (@t217 5)) 21.02/21.23 (step @p198 :rule eq_resolve :premises (@p197 @p196)) 21.02/21.23 (step @p199 :rule reordering :premises (@p198) :args ((or @t210 @t217))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p200 :rule trust :premises (@p199 @p190) :args (@t210)) 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p201 :rule trust :premises () :args ((= (not @t221) @t177))) 21.02/21.23 (step @p202 :rule refl :args (@t222)) 21.02/21.23 (step @p203 :rule refl :args (@t211)) 21.02/21.23 (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p113 @p112 @p111) :args (or)) 21.02/21.23 (assume-push @p205 @t171) 21.02/21.23 (assume-push @p206 @t221) 21.02/21.23 (assume-push @p207 @t210) 21.02/21.23 (assume-push @p208 @t210) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p209 :rule trust :premises (@p118) :args ((= @t168 0))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p210 :rule trust :premises (@p206) :args (@t223)) 21.02/21.23 ; trust MACRO_ARITH_SCALE_SUM_UB 21.02/21.23 (step @p211 :rule trust :premises (@p200 @p210 @p209) :args ((< (+ @t174 @t166 @t168) @t225))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p212 false :rule trust :premises (@p211) :args (false)) 21.02/21.23 (step-pop @p446 :rule scope :premises (@p212)) 21.02/21.23 (step @p213 :rule process_scope :premises (@p446) :args (false)) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p215 :rule trust :premises (@p213) :args ((< @t150 0))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p216 :rule trust :premises (@p215) :args (@t211)) 21.02/21.23 (step @p217 false :rule contra :premises (@p200 @p216)) 21.02/21.23 (step-pop @p447 :rule scope :premises (@p217)) 21.02/21.23 (step-pop @p448 :rule scope :premises (@p447)) 21.02/21.23 (step-pop @p449 :rule scope :premises (@p448)) 21.02/21.23 (step @p218 :rule process_scope :premises (@p449) :args (false)) 21.02/21.23 (assume-push @p222 @t210) 21.02/21.23 (assume-push @p223 @t146) 21.02/21.23 (assume-push @p224 @t221) 21.02/21.23 (assume-push @p225 @t163) 21.02/21.23 (assume-push @p226 @t160) 21.02/21.23 (assume-push @p227 @t156) 21.02/21.23 (assume-push @p228 @t163) 21.02/21.23 (assume-push @p229 @t146) 21.02/21.23 (assume-push @p230 @t156) 21.02/21.23 (assume-push @p231 @t160) 21.02/21.23 (step @p232 :rule symm :premises (@p90)) 21.02/21.23 (step @p233 :rule cong :premises (@p232) :args (tptp.t2tb)) 21.02/21.23 (step @p234 :rule cong :premises (@p137 @p137 @p102 @p233) :args (tptp.get)) 21.02/21.23 (step @p235 :rule trans :premises (@p110 @p234)) 21.02/21.23 (step @p236 :rule cong :premises (@p235) :args (tptp.tb2t)) 21.02/21.23 (step @p237 :rule trans :premises (@p103 @p236)) 21.02/21.23 (step-pop @p450 :rule scope :premises (@p237)) 21.02/21.23 (step-pop @p451 :rule scope :premises (@p450)) 21.02/21.23 (step-pop @p452 :rule scope :premises (@p451)) 21.02/21.23 (step-pop @p453 :rule scope :premises (@p452)) 21.02/21.23 (step @p238 :rule process_scope :premises (@p453) :args (@t171)) 21.02/21.23 (step @p243 :rule and_intro :premises (@p102 @p90 @p110 @p103)) 21.02/21.23 (step @p244 :rule modus_ponens :premises (@p243 @p238)) 21.02/21.23 (step @p245 :rule and_intro :premises (@p244 @p206 @p200)) 21.02/21.23 (step-pop @p454 :rule scope :premises (@p245)) 21.02/21.23 (step-pop @p455 :rule scope :premises (@p454)) 21.02/21.23 (step-pop @p456 :rule scope :premises (@p455)) 21.02/21.23 (step-pop @p457 :rule scope :premises (@p456)) 21.02/21.23 (step-pop @p458 :rule scope :premises (@p457)) 21.02/21.23 (step-pop @p459 :rule scope :premises (@p458)) 21.02/21.23 (step @p246 :rule process_scope :premises (@p459) :args (@t226)) 21.02/21.23 (step @p253 :rule implies_elim :premises (@p246)) 21.02/21.23 (step @p254 :rule resolution :premises (@p253 @p218) :args (true @t226)) 21.02/21.23 (step @p255 :rule not_and :premises (@p254)) 21.02/21.23 (step @p256 :rule eq_resolve :premises (@p255 @p204)) 21.02/21.23 (step @p257 :rule reordering :premises (@p256) :args ((or @t211 @t177 @t222 @t164 @t161 @t159))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p258 :rule trust :premises (@p257 @p110 @p103 @p102 @p200 @p193 @p192 @p175 @p110 @p103 @p102 @p99) :args (@t222)) 21.02/21.23 (step @p259 :rule instantiate :premises (@p88) :args (@t227)) 21.02/21.23 ; trust MACRO_SR_EQ_INTRO 21.02/21.23 (step @p260 :rule trust :premises () :args ((= @t61 (forall (@list @v.1.A @v.1.B @v.0.M @v.1.A1 @v.0.A2 @v.0.BOUND_VARIABLE_1569) (or (not @t60) (not @t59) @t58 (= @t56 (tptp.get @v.1.B @v.1.A (tptp.set @v.1.B @v.1.A @v.0.M @v.1.A1 @v.0.BOUND_VARIABLE_1569) @v.0.A2))))))) 21.02/21.23 (step @p261 :rule eq_resolve :premises (@p32 @p260)) 21.02/21.23 (step @p262 :rule instantiate :premises (@p261) :args ((@list tptp.int tptp.int @t153 @t148 @t147 @t151))) 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p263 :rule trust :premises () :args ((= (not @t189) @t188))) 21.02/21.23 (step @p264 :rule nary_cong :premises (@p195 @p263) :args (or)) 21.02/21.23 (step @p265 :rule cnf_or_neg :args (@t217 15)) 21.02/21.23 (step @p266 :rule eq_resolve :premises (@p265 @p264)) 21.02/21.23 (step @p267 :rule reordering :premises (@p266) :args ((or @t188 @t217))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p268 :rule trust :premises (@p267 @p190) :args (@t188)) 21.02/21.23 (step @p269 :rule instantiate :premises (@p268) :args (@t227)) 21.02/21.23 (step @p270 :rule cnf_or_neg :args (@t217 18)) 21.02/21.23 (step @p271 :rule reordering :premises (@p270) :args ((or @t228 @t217))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p272 :rule trust :premises (@p271 @p190) :args (@t228)) 21.02/21.23 (step @p273 :rule refl :args (@t230)) 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p274 :rule trust :premises () :args ((= (not @t222) @t146))) 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p275 :rule trust :premises () :args ((= (not @t228) @t183))) 21.02/21.23 (step @p276 :rule nary_cong :premises (@p275 @p274 @p273) :args (or)) 21.02/21.23 (assume-push @p277 @t228) 21.02/21.23 (assume-push @p278 @t222) 21.02/21.23 (assume-push @p279 @t228) 21.02/21.23 (assume-push @p280 @t222) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p281 :rule trust :premises (@p278) :args ((not (= @t182 0)))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p282 :rule trust :premises (@p272) :args ((< @t182 1))) 21.02/21.23 (step @p283 :rule int_tight_ub :premises (@p282)) 21.02/21.23 (step @p284 :rule arith_trichotomy :premises (@p283 @p281)) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p285 :rule trust :premises (@p284) :args (@t230)) 21.02/21.23 (step-pop @p460 :rule scope :premises (@p285)) 21.02/21.23 (step-pop @p461 :rule scope :premises (@p460)) 21.02/21.23 (step @p286 :rule process_scope :premises (@p461) :args (@t230)) 21.02/21.23 (step @p289 :rule and_intro :premises (@p272 @p278)) 21.02/21.23 (step @p290 :rule modus_ponens :premises (@p289 @p286)) 21.02/21.23 (step-pop @p462 :rule scope :premises (@p290)) 21.02/21.23 (step-pop @p463 :rule scope :premises (@p462)) 21.02/21.23 (step @p291 :rule process_scope :premises (@p463) :args (@t230)) 21.02/21.23 (step @p294 :rule implies_elim :premises (@p291)) 21.02/21.23 (step @p295 :rule cnf_and_neg :args (@t231)) 21.02/21.23 (step @p296 :rule resolution :premises (@p295 @p294) :args (true @t231)) 21.02/21.23 (step @p297 :rule eq_resolve :premises (@p296 @p276)) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p298 :rule trust :premises (@p297 @p258 @p272) :args (@t230)) 21.02/21.23 ; trust MACRO_SR_PRED_INTRO 21.02/21.23 (step @p299 :rule trust :premises () :args ((= (not @t180) @t179))) 21.02/21.23 (step @p300 :rule nary_cong :premises (@p195 @p299) :args (or)) 21.02/21.23 (step @p301 :rule cnf_or_neg :args (@t217 19)) 21.02/21.23 (step @p302 :rule eq_resolve :premises (@p301 @p300)) 21.02/21.23 (step @p303 :rule reordering :premises (@p302) :args ((or @t179 @t217))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p304 :rule trust :premises (@p303 @p190) :args (@t179)) 21.02/21.23 (step @p305 :rule cnf_or_pos :args (@t239)) 21.02/21.23 (step @p306 :rule reordering :premises (@p305) :args ((or @t180 @t229 @t238 (not @t239)))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p307 :rule trust :premises (@p306 @p304 @p298 @p269) :args (@t238)) 21.02/21.23 (step @p308 :rule cnf_and_pos :args (@t238 0)) 21.02/21.23 (step @p309 :rule reordering :premises (@p308) :args ((or @t237 @t240))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p310 :rule trust :premises (@p309 @p307) :args (@t237)) 21.02/21.23 (step @p311 :rule refl :args ((not @t237))) 21.02/21.23 (step @p312 :rule refl :args (@t242)) 21.02/21.23 (step @p313 :rule nary_cong :premises (@p201 @p113 @p312 @p311) :args (or)) 21.02/21.23 (assume-push @p314 @t237) 21.02/21.23 (assume-push @p315 @t243) 21.02/21.23 (assume-push @p316 @t221) 21.02/21.23 (assume-push @p317 @t223) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p318 :rule trust :premises (@p315) :args (@t245)) 21.02/21.23 ; trust MACRO_ARITH_SCALE_SUM_UB 21.02/21.23 (step @p319 :rule trust :premises (@p317 @p318 @p314) :args ((< (+ @t166 (* -1 @t244) @t234) (+ 0 @t224 @t224)))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p320 false :rule trust :premises (@p319) :args (false)) 21.02/21.23 (step-pop @p464 :rule scope :premises (@p320)) 21.02/21.23 (step @p321 :rule process_scope :premises (@p464) :args (false)) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p323 :rule trust :premises (@p321) :args (@t177)) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p324 :rule trust :premises (@p323) :args ((not @t223))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p325 :rule trust :premises (@p206) :args (@t223)) 21.02/21.23 (step @p326 false :rule contra :premises (@p325 @p324)) 21.02/21.23 (step-pop @p465 :rule scope :premises (@p326)) 21.02/21.23 (step-pop @p466 :rule scope :premises (@p465)) 21.02/21.23 (step-pop @p467 :rule scope :premises (@p466)) 21.02/21.23 (step @p327 :rule process_scope :premises (@p467) :args (false)) 21.02/21.23 (assume-push @p331 @t221) 21.02/21.23 (assume-push @p332 @t163) 21.02/21.23 (assume-push @p333 @t241) 21.02/21.23 (assume-push @p334 @t237) 21.02/21.23 (assume-push @p335 @t241) 21.02/21.23 (assume-push @p336 @t163) 21.02/21.23 (step @p337 :rule symm :premises (@p333)) 21.02/21.23 (step @p338 :rule symm :premises (@p102)) 21.02/21.23 (step @p339 :rule cong :premises (@p137 @p137 @p338 @p136) :args (tptp.get)) 21.02/21.23 (step @p340 :rule trans :premises (@p339 @p337)) 21.02/21.23 (step @p341 :rule cong :premises (@p340) :args (tptp.tb2t)) 21.02/21.23 (step-pop @p468 :rule scope :premises (@p341)) 21.02/21.23 (step-pop @p469 :rule scope :premises (@p468)) 21.02/21.23 (step @p342 :rule process_scope :premises (@p469) :args (@t243)) 21.02/21.23 (step @p345 :rule and_intro :premises (@p333 @p102)) 21.02/21.23 (step @p346 :rule modus_ponens :premises (@p345 @p342)) 21.02/21.23 (step @p347 :rule and_intro :premises (@p314 @p346 @p206)) 21.02/21.23 (step-pop @p470 :rule scope :premises (@p347)) 21.02/21.23 (step-pop @p471 :rule scope :premises (@p470)) 21.02/21.23 (step-pop @p472 :rule scope :premises (@p471)) 21.02/21.23 (step-pop @p473 :rule scope :premises (@p472)) 21.02/21.23 (step @p348 :rule process_scope :premises (@p473) :args (@t246)) 21.02/21.23 (step @p353 :rule implies_elim :premises (@p348)) 21.02/21.23 (step @p354 :rule resolution :premises (@p353 @p327) :args (true @t246)) 21.02/21.23 (step @p355 :rule not_and :premises (@p354)) 21.02/21.23 (step @p356 :rule eq_resolve :premises (@p355 @p313)) 21.02/21.23 (step @p357 :rule cnf_and_pos :args (@t238 1)) 21.02/21.23 (step @p358 :rule reordering :premises (@p357) :args ((or @t236 @t240))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p359 :rule trust :premises (@p358 @p307) :args (@t236)) 21.02/21.23 (step @p360 :rule refl :args (@t247)) 21.02/21.23 (step @p361 :rule nary_cong :premises (@p115 @p113 @p312 @p360) :args (or)) 21.02/21.23 (assume-push @p362 @t170) 21.02/21.23 (assume-push @p363 @t243) 21.02/21.23 (assume-push @p364 @t236) 21.02/21.23 (assume-push @p365 @t236) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p366 :rule trust :premises (@p127) :args (@t173)) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p367 :rule trust :premises (@p315) :args (@t245)) 21.02/21.23 ; trust MACRO_ARITH_SCALE_SUM_UB 21.02/21.23 (step @p368 :rule trust :premises (@p364 @p367 @p366) :args ((< (+ (* -1 @t235) @t244 @t168) @t225))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p369 false :rule trust :premises (@p368) :args (false)) 21.02/21.23 (step-pop @p474 :rule scope :premises (@p369)) 21.02/21.23 (step @p370 :rule process_scope :premises (@p474) :args (false)) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p372 :rule trust :premises (@p370) :args ((< @t235 0))) 21.02/21.23 ; trust MACRO_SR_PRED_TRANSFORM 21.02/21.23 (step @p373 :rule trust :premises (@p372) :args (@t247)) 21.02/21.23 (step @p374 false :rule contra :premises (@p364 @p373)) 21.02/21.23 (step-pop @p475 :rule scope :premises (@p374)) 21.02/21.23 (step-pop @p476 :rule scope :premises (@p475)) 21.02/21.23 (step-pop @p477 :rule scope :premises (@p476)) 21.02/21.23 (step @p375 :rule process_scope :premises (@p477) :args (false)) 21.02/21.23 (assume-push @p379 @t170) 21.02/21.23 (assume-push @p380 @t163) 21.02/21.23 (assume-push @p381 @t241) 21.02/21.23 (assume-push @p382 @t236) 21.02/21.23 (assume-push @p383 @t241) 21.02/21.23 (assume-push @p384 @t163) 21.02/21.23 (step-pop @p478 :rule scope :premises (@p341)) 21.02/21.23 (step-pop @p479 :rule scope :premises (@p478)) 21.02/21.23 (step @p385 :rule process_scope :premises (@p479) :args (@t243)) 21.02/21.23 (step @p388 :rule and_intro :premises (@p333 @p102)) 21.02/21.23 (step @p389 :rule modus_ponens :premises (@p388 @p385)) 21.02/21.23 (step @p390 :rule and_intro :premises (@p127 @p389 @p364)) 21.02/21.23 (step-pop @p480 :rule scope :premises (@p390)) 21.02/21.23 (step-pop @p481 :rule scope :premises (@p480)) 21.02/21.23 (step-pop @p482 :rule scope :premises (@p481)) 21.02/21.23 (step-pop @p483 :rule scope :premises (@p482)) 21.02/21.23 (step @p391 :rule process_scope :premises (@p483) :args (@t248)) 21.02/21.23 (step @p396 :rule implies_elim :premises (@p391)) 21.02/21.23 (step @p397 :rule resolution :premises (@p396 @p375) :args (true @t248)) 21.02/21.23 (step @p398 :rule not_and :premises (@p397)) 21.02/21.23 (step @p399 :rule eq_resolve :premises (@p398 @p361)) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p400 :rule trust :premises (@p399 @p359 @p102 @p193 @p192 @p356 @p310 @p102) :args (@t242)) 21.02/21.23 (step @p401 :rule instantiate :premises (@p16) :args (@t227)) 21.02/21.23 (step @p402 :rule instantiate :premises (@p16) :args (@t144)) 21.02/21.23 (step @p403 :rule cnf_or_pos :args (@t251)) 21.02/21.23 (step @p404 :rule reordering :premises (@p403) :args ((or @t149 @t250 @t249 @t241 (not @t251)))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p405 :rule trust :premises (@p404 @p402 @p401 @p400 @p262) :args (@t149)) 21.02/21.23 (assume-push @p406 @t149) 21.02/21.23 (assume-push @p407 @t252) 21.02/21.23 (assume-push @p408 @t253) 21.02/21.23 (assume-push @p409 @t252) 21.02/21.23 (assume-push @p410 @t149) 21.02/21.23 (assume-push @p411 @t253) 21.02/21.23 (step @p412 :rule symm :premises (@p89)) 21.02/21.23 (step @p413 :rule symm :premises (@p128)) 21.02/21.23 (step @p414 :rule cong :premises (@p413) :args (tptp.tb2t)) 21.02/21.23 (step @p415 :rule trans :premises (@p259 @p414 @p412)) 21.02/21.23 (step-pop @p484 :rule scope :premises (@p415)) 21.02/21.23 (step-pop @p485 :rule scope :premises (@p484)) 21.02/21.23 (step-pop @p486 :rule scope :premises (@p485)) 21.02/21.23 (step @p416 :rule process_scope :premises (@p486) :args (@t146)) 21.02/21.23 (step @p420 :rule and_intro :premises (@p89 @p128 @p259)) 21.02/21.23 (step @p421 :rule modus_ponens :premises (@p420 @p416)) 21.02/21.23 (step-pop @p487 :rule scope :premises (@p421)) 21.02/21.23 (step-pop @p488 :rule scope :premises (@p487)) 21.02/21.23 (step-pop @p489 :rule scope :premises (@p488)) 21.02/21.23 (step @p422 :rule process_scope :premises (@p489) :args (@t146)) 21.02/21.23 (step @p426 :rule implies_elim :premises (@p422)) 21.02/21.23 (step @p427 :rule cnf_and_neg :args (@t254)) 21.02/21.23 (step @p428 :rule resolution :premises (@p427 @p426) :args (true @t254)) 21.02/21.23 (step @p429 :rule reordering :premises (@p428) :args ((or @t146 @t165 (not @t252) (not @t253)))) 21.02/21.23 ; trust MACRO_RESOLUTION_TRUST 21.02/21.23 (step @p430 false :rule trust :premises (@p429 @p405 @p259 @p258 @p89) :args (false)) 21.02/21.23 21.02/21.23 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.za4FPHVeyc/cvc5---1.0.5_17717.smt2 21.02/21.24 % cvc5---1.0.5 exiting 21.02/21.24 % cvc5---1.0.5 exiting 21.02/21.24 EOF