0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : do_cvc5 %s %d THM 0.11/0.32 % Computer : n009.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1440 0.11/0.32 % WCLimit : 180 0.11/0.32 % DateTime : Thu Jul 4 08:03:54 EDT 2024 0.11/0.32 % CPUTime : 0.18/0.52 %----Proving TF0_ARI 15.53/16.08 --- Run --finite-model-find --decision=internal at 15... 15.53/16.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 15.53/16.08 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.b6IRRZigaJ/cvc5---1.0.5_2322.smt2 15.53/16.08 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.b6IRRZigaJ/cvc5---1.0.5_2322.smt2 15.53/16.08 (declare-sort tptp.elt2 0) 15.53/16.08 (declare-sort tptp.map_int_elt1 0) 15.53/16.08 (declare-sort tptp.bool1 0) 15.53/16.08 (declare-sort tptp.array_elt1 0) 15.53/16.08 (declare-sort tptp.tuple02 0) 15.53/16.08 (declare-sort tptp.ty 0) 15.53/16.08 (declare-sort tptp.uni 0) 15.53/16.08 (declare-fun tptp.true1 () tptp.bool1) 15.53/16.08 (declare-fun tptp.tb2t (tptp.uni) Int) 15.53/16.08 (declare-fun tptp.sorted2 (tptp.array_elt1) Bool) 15.53/16.08 (declare-fun tptp.le2 (tptp.elt2 tptp.elt2) Bool) 15.53/16.08 (declare-fun tptp.get2 (tptp.ty tptp.uni Int) tptp.uni) 15.53/16.08 (declare-fun tptp.t2tb5 (tptp.elt2) tptp.uni) 15.53/16.08 (declare-fun tptp.match_bool1 (tptp.ty tptp.bool1 tptp.uni tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.exchange2 (tptp.ty tptp.uni tptp.uni Int Int Int Int) Bool) 15.53/16.08 (declare-fun tptp.set2 (tptp.ty tptp.uni Int tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.mod (Int Int) Int) 15.53/16.08 (declare-fun tptp.make1 (tptp.ty Int tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.false1 () tptp.bool1) 15.53/16.08 (declare-fun tptp.array_eq (tptp.ty tptp.uni tptp.uni) Bool) 15.53/16.08 (declare-fun tptp.ref (tptp.ty) tptp.ty) 15.53/16.08 (declare-fun tptp.mk_ref (tptp.ty tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.map_eq_sub1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.53/16.08 (declare-fun tptp.elts (tptp.ty tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.sort1 (tptp.ty tptp.uni) Bool) 15.53/16.08 (declare-fun tptp.contents (tptp.ty tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.length1 (tptp.ty tptp.uni) Int) 15.53/16.08 (declare-fun tptp.set (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.permut2 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.53/16.08 (declare-fun tptp.t2tb (Int) tptp.uni) 15.53/16.08 (declare-fun tptp.permut3 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.53/16.08 (declare-fun tptp.array_eq_sub1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.53/16.08 (declare-fun tptp.int () tptp.ty) 15.53/16.08 (declare-fun tptp.witness1 (tptp.ty) tptp.uni) 15.53/16.08 (declare-fun tptp.occ1 (tptp.ty tptp.uni tptp.uni Int Int) Int) 15.53/16.08 (declare-fun tptp.get (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.div (Int Int) Int) 15.53/16.08 (declare-fun tptp.t2tb4 (tptp.array_elt1) tptp.uni) 15.53/16.08 (declare-fun tptp.mk_array1 (tptp.ty Int tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.tb2t6 (tptp.uni) tptp.map_int_elt1) 15.53/16.08 (declare-fun tptp.array (tptp.ty) tptp.ty) 15.53/16.08 (declare-fun tptp.permut_all (tptp.ty tptp.uni tptp.uni) Bool) 15.53/16.08 (declare-fun tptp.exchange3 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.53/16.08 (declare-fun tptp.elt3 () tptp.ty) 15.53/16.08 (declare-fun tptp.map (tptp.ty tptp.ty) tptp.ty) 15.53/16.08 (declare-fun tptp.abs (Int) Int) 15.53/16.08 (declare-fun tptp.sorted_sub2 (tptp.array_elt1 Int Int) Bool) 15.53/16.08 (declare-fun tptp.tb2t4 (tptp.uni) tptp.array_elt1) 15.53/16.08 (declare-fun tptp.const (tptp.ty tptp.ty tptp.uni) tptp.uni) 15.53/16.08 (declare-fun tptp.t2tb6 (tptp.map_int_elt1) tptp.uni) 15.53/16.08 (declare-fun tptp.tuple03 () tptp.tuple02) 15.53/16.08 (declare-fun tptp.permut_sub1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.53/16.08 (declare-fun tptp.tb2t5 (tptp.uni) tptp.elt2) 15.53/16.08 (define @v.0.BOUND_VARIABLE_1584 () (alf.var "BOUND_VARIABLE_1584" tptp.map_int_elt1)) 15.53/16.08 (define @v.0.BOUND_VARIABLE_1582 () (alf.var "BOUND_VARIABLE_1582" tptp.map_int_elt1)) 15.53/16.08 (define @v.1.U1 () (alf.var "U1" tptp.uni)) 15.53/16.08 (define @v.1.A3 () (alf.var "A3" tptp.uni)) 15.53/16.08 (define @v.1.X () (alf.var "X" tptp.uni)) 15.53/16.08 (define @v.0.A3 () (alf.var "A3" tptp.map_int_elt1)) 15.53/16.08 (define @v.0.R () (alf.var "R" Int)) 15.53/16.08 (define @v.0.K () (alf.var "K" Int)) 15.53/16.08 (define @v.0.Mid () (alf.var "Mid" Int)) 15.53/16.08 (define @v.0.M1 () (alf.var "M1" tptp.uni)) 15.53/16.08 (define @v.0.L1 () (alf.var "L1" Int)) 15.53/16.08 (define @v.0.A () (alf.var "A" tptp.ty)) 15.53/16.08 (define @v.0.Y () (alf.var "Y" Int)) 15.53/16.08 (define @v.0.A1 () (alf.var "A1" tptp.uni)) 15.53/16.08 (define @v.1.J () (alf.var "J" tptp.uni)) 15.53/16.08 (define @v.0.U () (alf.var "U" Int)) 15.53/16.08 (define @v.0.M () (alf.var "M" tptp.uni)) 15.53/16.08 (define @v.0.X () (alf.var "X" Int)) 15.53/16.08 (define @v.1.A () (alf.var "A" Int)) 15.53/16.08 (define @v.2.I () (alf.var "I" tptp.array_elt1)) 15.53/16.08 (define @v.0.M2 () (alf.var "M2" tptp.uni)) 15.53/16.08 (define @v.0.I () (alf.var "I" Int)) 15.53/16.08 (define @v.0.B () (alf.var "B" tptp.ty)) 15.53/16.08 (define @v.0.A4 () (alf.var "A4" tptp.map_int_elt1)) 15.53/16.08 (define @v.0.U1 () (alf.var "U1" Int)) 15.53/16.08 (define @v.0.A2 () (alf.var "A2" tptp.uni)) 15.53/16.08 (define @v.1.A2 () (alf.var "A2" tptp.map_int_elt1)) 15.53/16.08 (define @v.0.BOUND_VARIABLE_1580 () (alf.var "BOUND_VARIABLE_1580" tptp.map_int_elt1)) 15.53/16.08 (define @v.0.V () (alf.var "V" tptp.uni)) 15.53/16.08 (define @v.0.X1 () (alf.var "X1" tptp.uni)) 15.53/16.08 (define @v.0.I1 () (alf.var "I1" Int)) 15.53/16.08 (define @v.0.U2 () (alf.var "U2" Int)) 15.53/16.08 (define @v.1.A1 () (alf.var "A1" tptp.map_int_elt1)) 15.53/16.08 (define @v.1.U () (alf.var "U" tptp.tuple02)) 15.53/16.08 (define @v.2.U () (alf.var "U" tptp.uni)) 15.53/16.08 (define @v.1.Z () (alf.var "Z" tptp.uni)) 15.53/16.08 (define @v.0.L () (alf.var "L" Int)) 15.53/16.08 (define @v.3.X () (alf.var "X" tptp.elt2)) 15.53/16.08 (define @v.0.Tmp () (alf.var "Tmp" Int)) 15.53/16.08 (define @v.0.J () (alf.var "J" Int)) 15.53/16.08 (define @v.1.X1 () (alf.var "X1" Int)) 15.53/16.08 (define @v.1.I () (alf.var "I" tptp.map_int_elt1)) 15.53/16.08 (define @v.0.X2 () (alf.var "X2" tptp.uni)) 15.53/16.08 (define @v.2.X () (alf.var "X" tptp.bool1)) 15.53/16.08 (define @v.0.L2 () (alf.var "L2" Int)) 15.53/16.08 (define @v.2.A () (alf.var "A" tptp.array_elt1)) 15.53/16.08 (define @v.0.I2 () (alf.var "I2" Int)) 15.53/16.08 (define @v.2.Z () (alf.var "Z" tptp.elt2)) 15.53/16.08 (define @v.0.B1 () (alf.var "B1" tptp.uni)) 15.53/16.08 (define @v.0.N () (alf.var "N" Int)) 15.53/16.08 (define @v.0.Z1 () (alf.var "Z1" tptp.uni)) 15.53/16.08 (define @v.1.Y () (alf.var "Y" tptp.elt2)) 15.53/16.08 (define @v.3.U () (alf.var "U" tptp.bool1)) 15.53/16.08 (define @v.4.X () (alf.var "X" tptp.array_elt1)) 15.53/16.08 (define @v.5.X () (alf.var "X" tptp.map_int_elt1)) 15.53/16.08 (define @v.0.Z () (alf.var "Z" Int)) 15.53/16.08 (define @v.3.I () (alf.var "I" tptp.elt2)) 15.53/16.08 (define @t1 () (- @v.0.U 1)) 15.53/16.08 (define @t2 () (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.L @t1)) 15.53/16.08 (define @t3 () (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.L @v.0.U)) 15.53/16.08 (define @t4 () (= (tptp.get @v.0.A tptp.int @v.0.M (tptp.t2tb @t1)) @v.0.V)) 15.53/16.08 (define @t5 () (< @v.0.L @v.0.U)) 15.53/16.08 (define @t6 () (tptp.sort1 @v.0.A @v.0.V)) 15.53/16.08 (define @t7 () (@list @v.0.A @v.0.V @v.0.M @v.0.L @v.0.U)) 15.53/16.08 (define @t8 () (= (tptp.occ1 @v.0.A @v.0.V @v.0.M1 @v.0.L @v.0.U) (tptp.occ1 @v.0.A @v.0.V @v.0.M2 @v.0.L @v.0.U))) 15.53/16.08 (define @t9 () (@list @v.0.V)) 15.53/16.08 (define @t10 () (tptp.permut2 @v.0.A @v.0.M1 @v.0.M2 @v.0.L @v.0.U)) 15.53/16.08 (define @t11 () (tptp.get @v.0.B @v.0.A (tptp.set @v.0.B @v.0.A @v.0.M @v.0.A1 @v.0.B1) @v.0.A2)) 15.53/16.08 (define @t12 () (= @v.0.A1 @v.0.A2)) 15.53/16.08 (define @t13 () (tptp.length1 @v.0.A @v.0.A1)) 15.53/16.08 (define @t14 () (= @t13 (tptp.length1 @v.0.A @v.0.A2))) 15.53/16.08 (define @t15 () (<= @v.0.U @t13)) 15.53/16.08 (define @t16 () (tptp.elts @v.0.A @v.0.A2)) 15.53/16.08 (define @t17 () (tptp.elts @v.0.A @v.0.A1)) 15.53/16.08 (define @t18 () (<= 0 @v.0.U)) 15.53/16.08 (define @t19 () (<= @v.0.L @t13)) 15.53/16.08 (define @t20 () (<= 0 @v.0.L)) 15.53/16.08 (define @t21 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.53/16.08 (define @t22 () (@list @v.0.A @v.2.U)) 15.53/16.08 (define @t23 () (@list @v.0.X)) 15.53/16.08 (define @t24 () (tptp.array @v.0.A)) 15.53/16.08 (define @t25 () (@list @v.0.A @v.0.X @v.0.X1)) 15.53/16.08 (define @t26 () (tptp.permut_all @v.0.A @v.0.A1 @v.0.A2)) 15.53/16.08 (define @t27 () (tptp.exchange3 @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.0.J)) 15.53/16.08 (define @t28 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.0.J)) 15.53/16.08 (define @t29 () (tptp.abs @v.0.X)) 15.53/16.08 (define @t30 () (<= @v.0.X @v.0.Y)) 15.53/16.08 (define @t31 () (@list @v.0.X @v.0.Y)) 15.53/16.08 (define @t32 () (@list @v.1.J)) 15.53/16.08 (define @t33 () (tptp.sort1 @v.0.B @v.0.B1)) 15.53/16.08 (define @t34 () (tptp.t2tb6 @v.0.A4)) 15.53/16.08 (define @t35 () (tptp.mk_array1 tptp.elt3 @v.1.A @t34)) 15.53/16.08 (define @t36 () (tptp.t2tb6 @v.1.A1)) 15.53/16.08 (define @t37 () (tptp.mk_array1 tptp.elt3 @v.1.A @t36)) 15.53/16.08 (define @t38 () (<= 0 @v.1.A)) 15.53/16.08 (define @t39 () (tptp.t2tb6 @v.0.A3)) 15.53/16.08 (define @t40 () (tptp.mk_array1 tptp.elt3 @v.1.A @t39)) 15.53/16.08 (define @t41 () (tptp.t2tb @v.0.I)) 15.53/16.08 (define @t42 () (@list @v.0.I)) 15.53/16.08 (define @t43 () (<= 0 @v.0.Tmp)) 15.53/16.08 (define @t44 () (+ @v.0.L (tptp.div (- @v.0.R @v.0.L) 2))) 15.53/16.08 (define @t45 () (<= @v.0.L @t44)) 15.53/16.08 (define @t46 () (tptp.tb2t4 @t40)) 15.53/16.08 (define @t47 () (tptp.sorted_sub2 @t46 @t44 @v.0.R)) 15.53/16.08 (define @t48 () (<= @t44 @v.0.R)) 15.53/16.08 (define @t49 () (tptp.mk_array1 tptp.elt3 @v.1.A (tptp.t2tb6 @v.1.A2))) 15.53/16.08 (define @t50 () (<= @v.0.R @v.1.A)) 15.53/16.08 (define @t51 () (= @v.1.A @v.0.Tmp)) 15.53/16.08 (define @t52 () (not (forall (@list @v.1.A @v.1.A1 @v.0.Tmp @v.0.L @v.0.R) (=> (and @t38 @t43 @t20 @t51 @t50 (<= @v.0.L @v.0.R)) (=> (< @v.0.L (- @v.0.R 1)) (=> (not (= 2 0)) (=> (and @t45 (< @t44 @v.0.R)) (=> (and @t20 @t45 @t51 (<= @t44 @v.1.A)) (forall (@list @v.1.A2) (=> (and @t43 (tptp.sorted_sub2 (tptp.tb2t4 @t49) @v.0.L @t44) (tptp.permut_sub1 tptp.elt3 @t37 @t49 @v.0.L @t44) @t38) (=> (tptp.permut_sub1 tptp.elt3 @t37 @t49 @v.0.L @v.0.R) (=> (and (<= 0 @t44) @t48 @t51 @t50) (forall (@list @v.0.A3) (=> (and @t38 @t43 @t47 (tptp.permut_sub1 tptp.elt3 @t49 @t40 @t44 @v.0.R)) (=> (tptp.permut_sub1 tptp.elt3 @t49 @t40 @v.0.L @v.0.R) (=> (and @t48 (<= @v.0.R @v.0.Tmp) (= @v.0.Tmp @v.1.A) (tptp.sorted_sub2 @t46 @v.0.L @t44) @t47 @t45 @t20) (forall (@list @v.0.A4) (=> (and @t43 (forall @t42 (=> (or (and (<= 0 @v.0.I) (< @v.0.I @v.0.L)) (and (<= @v.0.R @v.0.I) (< @v.0.I @v.1.A))) (= (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t34 @t41)) (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t39 @t41))))) (tptp.permut3 tptp.elt3 @t40 @t35 @v.0.L @v.0.R) (tptp.sorted_sub2 (tptp.tb2t4 @t35) @v.0.L @v.0.R) @t38) (tptp.permut_sub1 tptp.elt3 @t37 @t35 @v.0.L @v.0.R))))))))))))))))))) 15.53/16.08 (define @t53 () (tptp.ref @v.0.A)) 15.53/16.08 (define @t54 () (@list @v.0.A @v.0.A1 @v.0.A2)) 15.53/16.08 (define @t55 () (<= @v.0.L @v.0.I)) 15.53/16.08 (define @t56 () (< @v.0.I @v.0.U)) 15.53/16.08 (define @t57 () (tptp.get @v.0.A tptp.int @v.0.M @t41)) 15.53/16.08 (define @t58 () (= @t57 @v.0.V)) 15.53/16.08 (define @t59 () (tptp.div @v.0.X @v.0.Y)) 15.53/16.08 (define @t60 () (not (= @v.0.Y 0))) 15.53/16.08 (define @t61 () (+ (* @v.0.X @v.0.Y) @v.0.Z)) 15.53/16.08 (define @t62 () (<= 0 @v.0.Y)) 15.53/16.08 (define @t63 () (<= 0 @v.0.Z)) 15.53/16.08 (define @t64 () (< 0 @v.0.X)) 15.53/16.08 (define @t65 () (@list @v.0.X @v.0.Y @v.0.Z)) 15.53/16.08 (define @t66 () (tptp.mod @v.0.X @v.0.Y)) 15.53/16.08 (define @t67 () (<= @v.0.X 0)) 15.53/16.08 (define @t68 () (and @t55 @t56)) 15.53/16.08 (define @t69 () (tptp.abs @v.0.Y)) 15.53/16.08 (define @t70 () (< @v.0.J @v.0.U)) 15.53/16.08 (define @t71 () (tptp.t2tb @v.0.K)) 15.53/16.08 (define @t72 () (tptp.get @v.0.A tptp.int @v.0.A2 @t41)) 15.53/16.08 (define @t73 () (tptp.t2tb @v.0.J)) 15.53/16.08 (define @t74 () (tptp.get @v.0.A tptp.int @v.0.A1 @t73)) 15.53/16.08 (define @t75 () (= @t74 @t72)) 15.53/16.08 (define @t76 () (tptp.get @v.0.A tptp.int @v.0.A1 @t41)) 15.53/16.08 (define @t77 () (<= @v.0.L @v.0.J)) 15.53/16.08 (define @t78 () (tptp.map @v.0.A @v.0.B)) 15.53/16.08 (define @t79 () (tptp.permut_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.53/16.08 (define @t80 () (and @t70 @t77)) 15.53/16.08 (define @t81 () (@list @v.0.A @v.1.X)) 15.53/16.08 (define @t82 () (@list @v.3.X)) 15.53/16.08 (define @t83 () (tptp.t2tb4 @v.2.A)) 15.53/16.08 (define @t84 () (tptp.le2 (tptp.tb2t5 (tptp.get2 tptp.elt3 @t83 @v.0.I1)) (tptp.tb2t5 (tptp.get2 tptp.elt3 @t83 @v.0.I2)))) 15.53/16.08 (define @t85 () (<= @v.0.I1 @v.0.I2)) 15.53/16.08 (define @t86 () (@list @v.0.I1 @v.0.I2)) 15.53/16.08 (define @t87 () (and @t56 @t55)) 15.53/16.08 (define @t88 () (tptp.permut2 @v.0.A @v.0.A1 @v.1.A3 @v.0.L @v.0.U)) 15.53/16.08 (define @t89 () (tptp.permut2 @v.0.A @v.0.A2 @v.1.A3 @v.0.L @v.0.U)) 15.53/16.08 (define @t90 () (tptp.permut2 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.53/16.08 (define @t91 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.1.A3 @v.0.L @v.0.U)) 15.53/16.08 (define @t92 () (forall @t91 (=> @t90 (=> @t89 @t88)))) 15.53/16.08 (define @t93 () (= @t3 0)) 15.53/16.08 (define @t94 () (@list @v.0.A @v.1.Z @v.0.Z1)) 15.53/16.08 (define @t95 () (tptp.le2 @v.3.X @v.1.Y)) 15.53/16.08 (define @t96 () (<= 0 @v.0.X)) 15.53/16.08 (define @t97 () (< @v.0.X @v.0.Y)) 15.53/16.08 (define @t98 () (tptp.mk_array1 @v.0.A @v.0.U @v.1.U1)) 15.53/16.08 (define @t99 () (tptp.length1 @v.0.A @t98)) 15.53/16.08 (define @t100 () (@list @v.0.A @v.0.U @v.1.U1)) 15.53/16.08 (define @t101 () (forall @t100 (= @t99 @v.0.U))) 15.53/16.08 (define @t102 () (tptp.elts @v.0.A @t98)) 15.53/16.08 (define @t103 () (tptp.map tptp.int @v.0.A)) 15.53/16.08 (define @t104 () (tptp.sort1 @t103 @v.1.U1)) 15.53/16.08 (define @t105 () (forall @t100 (=> @t104 (= @t102 @v.1.U1)))) 15.53/16.08 (define @t106 () (tptp.permut3 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.53/16.08 (define @t107 () (tptp.permut2 @v.0.A @t17 @t16 @v.0.L @v.0.U)) 15.53/16.08 (define @t108 () (forall @t21 (= (and @t20 @t107 @t15 @t18 @t19 @t14) @t106))) 15.53/16.08 (define @t109 () (<= 0 @t59)) 15.53/16.08 (define @t110 () (< 0 @v.0.Y)) 15.53/16.08 (define @t111 () (and @t110 @t96)) 15.53/16.08 (define @t112 () (tptp.map_eq_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.53/16.08 (define @t113 () (= @t76 @t72)) 15.53/16.08 (define @t114 () (forall @t21 (= (forall @t42 (=> @t87 @t113)) @t112))) 15.53/16.08 (define @t115 () (tptp.map tptp.int tptp.elt3)) 15.53/16.08 (define @t116 () (forall (@list @v.0.A @v.0.A1 @v.0.I) (= (tptp.get2 @v.0.A @v.0.A1 @v.0.I) (tptp.get @v.0.A tptp.int @t17 @t41)))) 15.53/16.08 (define @t117 () (and (tptp.map_eq_sub1 @v.0.A @t17 @t16 0 @v.0.L) (tptp.map_eq_sub1 @v.0.A @t17 @t16 @v.0.U @t13) @t106)) 15.53/16.08 (define @t118 () (forall @t21 (= @t117 @t79))) 15.53/16.08 (define @t119 () (tptp.t2tb5 (tptp.tb2t5 @v.1.J))) 15.53/16.08 (define @t120 () (tptp.sort1 tptp.elt3 @v.1.J)) 15.53/16.08 (define @t121 () (forall @t32 (=> @t120 (= @t119 @v.1.J)))) 15.53/16.08 (define @t122 () (tptp.t2tb6 @v.0.BOUND_VARIABLE_1582)) 15.53/16.08 (define @t123 () (tptp.mk_array1 tptp.elt3 @v.0.Tmp @t122)) 15.53/16.08 (define @t124 () (tptp.mk_array1 tptp.elt3 @v.0.Tmp @t36)) 15.53/16.08 (define @t125 () (tptp.t2tb6 @v.0.BOUND_VARIABLE_1584)) 15.53/16.08 (define @t126 () (tptp.mk_array1 tptp.elt3 @v.0.Tmp @t125)) 15.53/16.08 (define @t127 () (* -1 @v.0.Tmp)) 15.53/16.08 (define @t128 () (* -1 @v.0.R)) 15.53/16.08 (define @t129 () (* -1 @v.0.I)) 15.53/16.08 (define @t130 () (>= (+ @v.0.L @t129) 1)) 15.53/16.08 (define @t131 () (not (>= @v.0.I 0))) 15.53/16.08 (define @t132 () (tptp.div (+ (* -1 @v.0.L) @v.0.R) 2)) 15.53/16.08 (define @t133 () (+ @v.0.L @t132)) 15.53/16.08 (define @t134 () (tptp.tb2t4 @t126)) 15.53/16.08 (define @t135 () (tptp.mk_array1 tptp.elt3 @v.0.Tmp (tptp.t2tb6 @v.0.BOUND_VARIABLE_1580))) 15.53/16.08 (define @t136 () (+ @v.0.L @t128 @t132)) 15.53/16.08 (define @t137 () (+ @v.0.L @t128)) 15.53/16.08 (define @t138 () (>= @v.0.L 0)) 15.53/16.08 (define @t139 () (or (not (>= @v.0.Tmp 0)) (not @t138) (not (>= (+ @v.0.Tmp @t128) 0)) (>= @t137 1) (>= @t137 -1) (not (>= @t132 0)) (>= @t136 0) (>= (+ @v.0.L @t127 @t132) 1) (not (>= @t133 0)) (>= @t136 1) (not (tptp.sorted_sub2 (tptp.tb2t4 @t135) @v.0.L @t133)) (not (tptp.permut_sub1 tptp.elt3 @t124 @t135 @v.0.L @t133)) (not (tptp.permut_sub1 tptp.elt3 @t124 @t135 @v.0.L @v.0.R)) (not (tptp.sorted_sub2 @t134 @t133 @v.0.R)) (not (tptp.permut_sub1 tptp.elt3 @t135 @t126 @t133 @v.0.R)) (not (tptp.permut_sub1 tptp.elt3 @t135 @t126 @v.0.L @v.0.R)) (not (tptp.sorted_sub2 @t134 @v.0.L @t133)) (not (forall @t42 (or (and (or @t131 (not @t130)) (or (not (>= (+ @v.0.I @t128) 0)) (>= (+ @v.0.I @t127) 0))) (= (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t125 @t41)) (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t122 @t41)))))) (not (tptp.permut3 tptp.elt3 @t126 @t123 @v.0.L @v.0.R)) (not (tptp.sorted_sub2 (tptp.tb2t4 @t123) @v.0.L @v.0.R)) (tptp.permut_sub1 tptp.elt3 @t124 @t123 @v.0.L @v.0.R))) 15.53/16.08 (define @t140 () (@list @v.1.A1 @v.0.Tmp @v.0.L @v.0.R @v.0.BOUND_VARIABLE_1584 @v.0.BOUND_VARIABLE_1582 @v.0.BOUND_VARIABLE_1580)) 15.53/16.08 (define @t141 () (exists @t140 (not @t139))) 15.53/16.08 (define @t142 () (@quantifiers_skolemize @t141 @v.0.BOUND_VARIABLE_1582)) 15.53/16.08 (define @t143 () (tptp.t2tb6 @t142)) 15.53/16.08 (define @t144 () (@quantifiers_skolemize @t141 @v.0.Tmp)) 15.53/16.08 (define @t145 () (tptp.mk_array1 tptp.elt3 @t144 @t143)) 15.53/16.08 (define @t146 () (tptp.elts tptp.elt3 @t145)) 15.53/16.08 (define @t147 () (tptp.get tptp.elt3 tptp.int @t146 @t41)) 15.53/16.08 (define @t148 () (tptp.t2tb6 (@quantifiers_skolemize @t141 @v.1.A1))) 15.53/16.08 (define @t149 () (tptp.mk_array1 tptp.elt3 @t144 @t148)) 15.53/16.08 (define @t150 () (tptp.elts tptp.elt3 @t149)) 15.53/16.08 (define @t151 () (tptp.get tptp.elt3 tptp.int @t150 @t41)) 15.53/16.08 (define @t152 () (= @t151 @t147)) 15.53/16.08 (define @t153 () (@quantifiers_skolemize @t141 @v.0.L)) 15.53/16.08 (define @t154 () (* -1 @t153)) 15.53/16.08 (define @t155 () (>= (+ @v.0.I @t154) 0)) 15.53/16.08 (define @t156 () (or @t155 @t131 @t152)) 15.53/16.08 (define @t157 () (@quantifiers_skolemize (exists @t42 (not @t156)) @v.0.I)) 15.53/16.08 (define @t158 () (tptp.t2tb @t157)) 15.53/16.08 (define @t159 () (tptp.get tptp.elt3 tptp.int @t150 @t158)) 15.53/16.08 (define @t160 () (tptp.get2 tptp.elt3 @t149 @t157)) 15.53/16.08 (define @t161 () (= @t159 @t160)) 15.53/16.08 (define @t162 () (forall @t21 (= @t112 (forall @t42 (or (not (>= (+ @v.0.U @t129) 1)) @t130 @t113))))) 15.53/16.08 (define @t163 () (>= (+ 0 @t129) 1)) 15.53/16.08 (define @t164 () (not (>= (+ @t153 @t129) 1))) 15.53/16.08 (define @t165 () (tptp.map_eq_sub1 tptp.elt3 @t150 @t146 0 @t153)) 15.53/16.08 (define @t166 () (forall @t42 @t156)) 15.53/16.08 (define @t167 () (= @t165 @t166)) 15.53/16.08 (define @t168 () (* -1 @t13)) 15.53/16.08 (define @t169 () (forall @t21 (= @t106 (and @t138 @t107 (not (>= (+ @v.0.U @t168) 1)) (>= @v.0.U 0) (not (>= (+ @v.0.L @t168) 1)) @t14)))) 15.53/16.08 (define @t170 () (@quantifiers_skolemize @t141 @v.0.R)) 15.53/16.08 (define @t171 () (@list tptp.elt3 @t149 @t145 @t153 @t170)) 15.53/16.08 (define @t172 () (@quantifiers_skolemize @t141 @v.0.BOUND_VARIABLE_1584)) 15.53/16.08 (define @t173 () (tptp.t2tb6 @t172)) 15.53/16.08 (define @t174 () (tptp.mk_array1 tptp.elt3 @t144 @t173)) 15.53/16.08 (define @t175 () (tptp.elts tptp.elt3 @t174)) 15.53/16.08 (define @t176 () (tptp.t2tb6 (@quantifiers_skolemize @t141 @v.0.BOUND_VARIABLE_1580))) 15.53/16.08 (define @t177 () (tptp.mk_array1 tptp.elt3 @t144 @t176)) 15.53/16.08 (define @t178 () (tptp.elts tptp.elt3 @t177)) 15.53/16.08 (define @t179 () (@list tptp.elt3 @t177 @t174 @t153 @t170)) 15.53/16.08 (define @t180 () (forall @t140 @t139)) 15.53/16.08 (define @t181 () (not @t180)) 15.53/16.08 (define @t182 () (tptp.permut_sub1 tptp.elt3 @t149 @t145 @t153 @t170)) 15.53/16.08 (define @t183 () (not (tptp.sorted_sub2 (tptp.tb2t4 @t145) @t153 @t170))) 15.53/16.08 (define @t184 () (tptp.permut3 tptp.elt3 @t174 @t145 @t153 @t170)) 15.53/16.08 (define @t185 () (not @t184)) 15.53/16.08 (define @t186 () (= (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t173 @t41)) (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t143 @t41)))) 15.53/16.08 (define @t187 () (* -1 @t144)) 15.53/16.08 (define @t188 () (* -1 @t170)) 15.53/16.08 (define @t189 () (not (>= (+ @v.0.I @t188) 0))) 15.53/16.08 (define @t190 () (or @t189 (>= (+ @v.0.I @t187) 0))) 15.53/16.08 (define @t191 () (forall @t42 (or (and (or @t131 @t155) @t190) @t186))) 15.53/16.08 (define @t192 () (not @t191)) 15.53/16.08 (define @t193 () (tptp.div (+ @t154 @t170) 2)) 15.53/16.08 (define @t194 () (+ @t153 @t193)) 15.53/16.08 (define @t195 () (tptp.tb2t4 @t174)) 15.53/16.08 (define @t196 () (not (tptp.sorted_sub2 @t195 @t153 @t194))) 15.53/16.08 (define @t197 () (tptp.permut_sub1 tptp.elt3 @t177 @t174 @t153 @t170)) 15.53/16.08 (define @t198 () (not @t197)) 15.53/16.08 (define @t199 () (not (tptp.permut_sub1 tptp.elt3 @t177 @t174 @t194 @t170))) 15.53/16.08 (define @t200 () (not (tptp.sorted_sub2 @t195 @t194 @t170))) 15.53/16.08 (define @t201 () (tptp.permut_sub1 tptp.elt3 @t149 @t177 @t153 @t170)) 15.53/16.08 (define @t202 () (not @t201)) 15.53/16.08 (define @t203 () (tptp.permut_sub1 tptp.elt3 @t149 @t177 @t153 @t194)) 15.53/16.08 (define @t204 () (not @t203)) 15.53/16.08 (define @t205 () (not (tptp.sorted_sub2 (tptp.tb2t4 @t177) @t153 @t194))) 15.53/16.08 (define @t206 () (+ @t153 @t188 @t193)) 15.53/16.08 (define @t207 () (>= @t206 1)) 15.53/16.08 (define @t208 () (>= @t194 0)) 15.53/16.08 (define @t209 () (not @t208)) 15.53/16.08 (define @t210 () (>= @t206 0)) 15.53/16.08 (define @t211 () (not (>= @t193 0))) 15.53/16.08 (define @t212 () (+ @t153 @t188)) 15.53/16.08 (define @t213 () (>= @t212 -1)) 15.53/16.08 (define @t214 () (>= @t212 1)) 15.53/16.08 (define @t215 () (not (>= (+ @t144 @t188) 0))) 15.53/16.08 (define @t216 () (>= @t153 0)) 15.53/16.08 (define @t217 () (not @t216)) 15.53/16.08 (define @t218 () (not (>= @t144 0))) 15.53/16.08 (define @t219 () (or @t218 @t217 @t215 @t214 @t213 @t211 @t210 (not (>= (+ @t144 @t154 (* -1 @t193)) 0)) @t209 @t207 @t205 @t204 @t202 @t200 @t199 @t198 @t196 @t192 @t185 @t183 @t182)) 15.53/16.08 (define @t220 () (not @t219)) 15.53/16.08 (define @t221 () (not (or @t218 @t217 @t215 @t214 @t213 @t211 @t210 (>= (+ @t153 @t187 @t193) 1) @t209 @t207 @t205 @t204 @t202 @t200 @t199 @t198 @t196 (not (forall @t42 (or (and (or @t131 @t164) @t190) @t186))) @t185 @t183 @t182))) 15.53/16.08 (define @t222 () (tptp.permut3 tptp.elt3 @t177 @t174 @t153 @t170)) 15.53/16.08 (define @t223 () (tptp.length1 tptp.elt3 @t177)) 15.53/16.08 (define @t224 () (tptp.map_eq_sub1 tptp.elt3 @t178 @t175 @t170 @t223)) 15.53/16.08 (define @t225 () (tptp.map_eq_sub1 tptp.elt3 @t178 @t175 0 @t153)) 15.53/16.08 (define @t226 () (and @t225 @t224 @t222)) 15.53/16.08 (define @t227 () (= @t197 @t226)) 15.53/16.08 (define @t228 () (not @t226)) 15.53/16.08 (define @t229 () (tptp.length1 tptp.elt3 @t174)) 15.53/16.08 (define @t230 () (* -1 @t223)) 15.53/16.08 (define @t231 () (>= @t170 0)) 15.53/16.08 (define @t232 () (tptp.permut2 tptp.elt3 @t178 @t175 @t153 @t170)) 15.53/16.08 (define @t233 () (and @t216 @t232 (not (>= (+ @t170 @t230) 1)) @t231 (not (>= (+ @t153 @t230) 1)) (= @t223 @t229))) 15.53/16.08 (define @t234 () (= @t222 @t233)) 15.53/16.08 (define @t235 () (@list tptp.elt3 @t149 @t177 @t153 @t170)) 15.53/16.08 (define @t236 () (tptp.length1 tptp.elt3 @t149)) 15.53/16.08 (define @t237 () (= @t236 @t223)) 15.53/16.08 (define @t238 () (* -1 @t236)) 15.53/16.08 (define @t239 () (>= (+ @t153 @t238) 1)) 15.53/16.08 (define @t240 () (not @t239)) 15.53/16.08 (define @t241 () (>= (+ @t170 @t238) 1)) 15.53/16.08 (define @t242 () (not @t241)) 15.53/16.08 (define @t243 () (tptp.permut2 tptp.elt3 @t150 @t178 @t153 @t170)) 15.53/16.08 (define @t244 () (tptp.permut3 tptp.elt3 @t149 @t177 @t153 @t170)) 15.53/16.08 (define @t245 () (= @t223 @t236)) 15.53/16.08 (define @t246 () (and @t216 @t243 @t242 @t231 @t240 @t245)) 15.53/16.08 (define @t247 () (= @t244 @t246)) 15.53/16.08 (define @t248 () (tptp.map_eq_sub1 tptp.elt3 @t150 @t178 @t170 @t236)) 15.53/16.08 (define @t249 () (tptp.map_eq_sub1 tptp.elt3 @t150 @t178 0 @t153)) 15.53/16.08 (define @t250 () (and @t249 @t248 @t244)) 15.53/16.08 (define @t251 () (= @t201 @t250)) 15.53/16.08 (define @t252 () (not @t250)) 15.53/16.08 (define @t253 () (not @t246)) 15.53/16.08 (define @t254 () (tptp.permut2 tptp.elt3 @t150 @t175 @t153 @t170)) 15.53/16.08 (define @t255 () (not @t232)) 15.53/16.08 (define @t256 () (not @t243)) 15.53/16.08 (define @t257 () (or @t256 @t255 @t254)) 15.53/16.08 (define @t258 () (tptp.length1 tptp.elt3 @t145)) 15.53/16.08 (define @t259 () (* -1 @t229)) 15.53/16.08 (define @t260 () (tptp.permut2 tptp.elt3 @t175 @t146 @t153 @t170)) 15.53/16.08 (define @t261 () (and @t216 @t260 (not (>= (+ @t170 @t259) 1)) @t231 (not (>= (+ @t153 @t259) 1)) (= @t229 @t258))) 15.53/16.08 (define @t262 () (= @t184 @t261)) 15.53/16.08 (define @t263 () (not @t261)) 15.53/16.08 (define @t264 () (tptp.permut2 tptp.elt3 @t150 @t146 @t153 @t170)) 15.53/16.08 (define @t265 () (not @t260)) 15.53/16.08 (define @t266 () (not @t254)) 15.53/16.08 (define @t267 () (or @t266 @t265 @t264)) 15.53/16.08 (define @t268 () (@list tptp.elt3 @t144 @t143)) 15.53/16.08 (define @t269 () (@list tptp.elt3 @t149 @t177 @t153 @t194)) 15.53/16.08 (define @t270 () (tptp.permut2 tptp.elt3 @t150 @t178 @t153 @t194)) 15.53/16.08 (define @t271 () (tptp.permut3 tptp.elt3 @t149 @t177 @t153 @t194)) 15.53/16.08 (define @t272 () (and @t216 @t270 (not (>= (+ @t153 @t193 @t238) 1)) @t208 @t240 @t245)) 15.53/16.08 (define @t273 () (= @t271 @t272)) 15.53/16.08 (define @t274 () (and @t249 (tptp.map_eq_sub1 tptp.elt3 @t150 @t178 @t194 @t236) @t271)) 15.53/16.08 (define @t275 () (= @t203 @t274)) 15.53/16.08 (define @t276 () (= @t236 @t258)) 15.53/16.08 (define @t277 () (not @t276)) 15.53/16.08 (define @t278 () (not @t231)) 15.53/16.08 (define @t279 () (not @t264)) 15.53/16.08 (define @t280 () (and @t216 @t264 @t242 @t231 @t240 @t276)) 15.53/16.08 (define @t281 () (tptp.permut3 tptp.elt3 @t149 @t145 @t153 @t170)) 15.53/16.08 (define @t282 () (= @t281 @t280)) 15.53/16.08 (define @t283 () (>= (+ @t170 @t129) 1)) 15.53/16.08 (define @t284 () (not (>= (+ @t236 @t129) 1))) 15.53/16.08 (define @t285 () (tptp.map_eq_sub1 tptp.elt3 @t150 @t146 @t170 @t236)) 15.53/16.08 (define @t286 () (>= (+ @v.0.I @t238) 0)) 15.53/16.08 (define @t287 () (or @t286 @t189 @t152)) 15.53/16.08 (define @t288 () (forall @t42 @t287)) 15.53/16.08 (define @t289 () (= @t285 @t288)) 15.53/16.08 (define @t290 () (@quantifiers_skolemize (exists @t42 (not @t287)) @v.0.I)) 15.53/16.08 (define @t291 () (tptp.t2tb @t290)) 15.53/16.08 (define @t292 () (tptp.get tptp.elt3 tptp.int @t146 @t291)) 15.53/16.08 (define @t293 () (tptp.get tptp.elt3 tptp.int @t150 @t291)) 15.53/16.08 (define @t294 () (= @t293 @t292)) 15.53/16.08 (define @t295 () (>= (+ @t170 (* -1 @t290)) 1)) 15.53/16.08 (define @t296 () (+ @t290 @t238)) 15.53/16.08 (define @t297 () (>= @t296 0)) 15.53/16.08 (define @t298 () (or @t297 @t295 @t294)) 15.53/16.08 (define @t299 () (tptp.get tptp.elt3 tptp.int @t178 @t41)) 15.53/16.08 (define @t300 () (= @t151 @t299)) 15.53/16.08 (define @t301 () (= @t299 @t151)) 15.53/16.08 (define @t302 () (forall @t42 (or @t286 @t189 @t301))) 15.53/16.08 (define @t303 () (= @t248 @t302)) 15.53/16.08 (define @t304 () (@list @t290)) 15.53/16.08 (define @t305 () (tptp.get tptp.elt3 tptp.int @t178 @t291)) 15.53/16.08 (define @t306 () (not (>= (+ @t290 @t188) 0))) 15.53/16.08 (define @t307 () (= @t293 @t305)) 15.53/16.08 (define @t308 () (or @t297 @t295 @t307)) 15.53/16.08 (define @t309 () (= @t144 @t223)) 15.53/16.08 (define @t310 () (= @t144 @t236)) 15.53/16.08 (define @t311 () (not @t297)) 15.53/16.08 (define @t312 () (+ @t290 @t230)) 15.53/16.08 (define @t313 () (>= @t312 0)) 15.53/16.08 (define @t314 () (< @t296 0)) 15.53/16.08 (define @t315 () (+ @t144 @t238)) 15.53/16.08 (define @t316 () (+ @t144 @t230)) 15.53/16.08 (define @t317 () (* -1 0)) 15.53/16.08 (define @t318 () (* -1 @t315)) 15.53/16.08 (define @t319 () (not @t310)) 15.53/16.08 (define @t320 () (@list tptp.elt3 @t144 @t173)) 15.53/16.08 (define @t321 () (= @t144 @t229)) 15.53/16.08 (define @t322 () (+ @t290 @t259)) 15.53/16.08 (define @t323 () (>= @t322 0)) 15.53/16.08 (define @t324 () (+ @t144 @t259)) 15.53/16.08 (define @t325 () (not @t321)) 15.53/16.08 (define @t326 () (tptp.get tptp.elt3 tptp.int @t175 @t41)) 15.53/16.08 (define @t327 () (= @t299 @t326)) 15.53/16.08 (define @t328 () (forall @t42 (or (>= (+ @v.0.I @t230) 0) @t189 @t327))) 15.53/16.08 (define @t329 () (= @t224 @t328)) 15.53/16.08 (define @t330 () (tptp.get tptp.elt3 tptp.int @t175 @t291)) 15.53/16.08 (define @t331 () (= @t330 @t305)) 15.53/16.08 (define @t332 () (or @t313 @t295 @t331)) 15.53/16.08 (define @t333 () (= @t326 @t147)) 15.53/16.08 (define @t334 () (or (>= (+ @v.0.I @t259) 0) @t189 @t333)) 15.53/16.08 (define @t335 () (@quantifiers_skolemize (exists @t42 (not @t334)) @v.0.I)) 15.53/16.08 (define @t336 () (tptp.t2tb @t335)) 15.53/16.08 (define @t337 () (tptp.get tptp.elt3 tptp.int @t146 @t336)) 15.53/16.08 (define @t338 () (tptp.get tptp.elt3 tptp.int @t175 @t336)) 15.53/16.08 (define @t339 () (= @t338 @t337)) 15.53/16.08 (define @t340 () (* -1 @t335)) 15.53/16.08 (define @t341 () (>= (+ @t170 @t340) 1)) 15.53/16.08 (define @t342 () (+ @t335 @t259)) 15.53/16.08 (define @t343 () (>= @t342 0)) 15.53/16.08 (define @t344 () (or @t343 @t341 @t339)) 15.53/16.08 (define @t345 () (+ @t144 @t340)) 15.53/16.08 (define @t346 () (>= @t345 1)) 15.53/16.08 (define @t347 () (not @t346)) 15.53/16.08 (define @t348 () (or @t341 @t347)) 15.53/16.08 (define @t349 () (not (>= @t335 0))) 15.53/16.08 (define @t350 () (and (or @t349 (not (>= (+ @t153 @t340) 1))) @t348)) 15.53/16.08 (define @t351 () (= (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t173 @t336)) (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t143 @t336)))) 15.53/16.08 (define @t352 () (not (>= (+ @t335 @t188) 0))) 15.53/16.08 (define @t353 () (or @t350 @t351)) 15.53/16.08 (define @t354 () (= @t173 @t175)) 15.53/16.08 (define @t355 () (not (tptp.sort1 @t115 @t173))) 15.53/16.08 (define @t356 () (or @t355 @t354)) 15.53/16.08 (define @t357 () (= @t143 @t146)) 15.53/16.08 (define @t358 () (not (tptp.sort1 @t115 @t143))) 15.53/16.08 (define @t359 () (or @t358 @t357)) 15.53/16.08 (define @t360 () (= @t337 (tptp.t2tb5 (tptp.tb2t5 @t337)))) 15.53/16.08 (define @t361 () (not (tptp.sort1 tptp.elt3 @t337))) 15.53/16.08 (define @t362 () (or @t361 @t360)) 15.53/16.08 (define @t363 () (= @t338 (tptp.t2tb5 (tptp.tb2t5 @t338)))) 15.53/16.08 (define @t364 () (not (tptp.sort1 tptp.elt3 @t338))) 15.53/16.08 (define @t365 () (or @t364 @t363)) 15.53/16.08 (define @t366 () (and @t354 @t357 @t351 @t360 @t363)) 15.53/16.08 (define @t367 () (not @t357)) 15.53/16.08 (define @t368 () (not @t354)) 15.53/16.08 (define @t369 () (not @t344)) 15.53/16.08 (define @t370 () (forall @t42 @t334)) 15.53/16.08 (define @t371 () (not @t370)) 15.53/16.08 (define @t372 () (not (or @t343 @t352 @t339))) 15.53/16.08 (define @t373 () (= @t292 @t330)) 15.53/16.08 (define @t374 () (or @t323 @t295 @t373)) 15.53/16.08 (define @t375 () (tptp.get2 tptp.elt3 @t149 @t290)) 15.53/16.08 (define @t376 () (= @t293 @t375)) 15.53/16.08 (define @t377 () (not @t294)) 15.53/16.08 (define @t378 () (and @t376 @t307 @t331 @t373 @t377)) 15.53/16.08 (define @t379 () (not @t298)) 15.53/16.08 (define @t380 () (not @t288)) 15.53/16.08 (define @t381 () (not (or @t297 @t306 @t294))) 15.53/16.08 (define @t382 () (and @t165 @t285 @t281)) 15.53/16.08 (define @t383 () (= @t182 @t382)) 15.53/16.08 (define @t384 () (not @t382)) 15.53/16.08 (define @t385 () (not @t166)) 15.53/16.08 (define @t386 () (tptp.get tptp.elt3 tptp.int @t146 @t158)) 15.53/16.08 (define @t387 () (= @t159 @t386)) 15.53/16.08 (define @t388 () (>= @t157 0)) 15.53/16.08 (define @t389 () (not @t388)) 15.53/16.08 (define @t390 () (>= (+ @t153 (* -1 @t157)) 1)) 15.53/16.08 (define @t391 () (not @t390)) 15.53/16.08 (define @t392 () (or @t391 @t389 @t387)) 15.53/16.08 (define @t393 () (not @t392)) 15.53/16.08 (define @t394 () (>= (+ @t157 @t154) 0)) 15.53/16.08 (define @t395 () (not (or @t394 @t389 @t387))) 15.53/16.08 (define @t396 () (not @t387)) 15.53/16.08 (define @t397 () (forall @t42 (or @t155 @t131 @t301))) 15.53/16.08 (define @t398 () (= @t249 @t397)) 15.53/16.08 (define @t399 () (@list @t157)) 15.53/16.08 (define @t400 () (tptp.get tptp.elt3 tptp.int @t178 @t158)) 15.53/16.08 (define @t401 () (= @t159 @t400)) 15.53/16.08 (define @t402 () (or @t391 @t389 @t401)) 15.53/16.08 (define @t403 () (forall @t42 (or @t155 @t131 @t327))) 15.53/16.08 (define @t404 () (= @t225 @t403)) 15.53/16.08 (define @t405 () (tptp.get tptp.elt3 tptp.int @t175 @t158)) 15.53/16.08 (define @t406 () (= @t400 @t405)) 15.53/16.08 (define @t407 () (or @t391 @t389 @t406)) 15.53/16.08 (define @t408 () (or @t155 @t131 @t333)) 15.53/16.08 (define @t409 () (@quantifiers_skolemize (exists @t42 (not @t408)) @v.0.I)) 15.53/16.08 (define @t410 () (* -1 @t409)) 15.53/16.08 (define @t411 () (>= (+ @t153 @t410) 1)) 15.53/16.08 (define @t412 () (not @t411)) 15.53/16.08 (define @t413 () (tptp.t2tb @t409)) 15.53/16.08 (define @t414 () (tptp.get tptp.elt3 tptp.int @t146 @t413)) 15.53/16.08 (define @t415 () (tptp.get tptp.elt3 tptp.int @t175 @t413)) 15.53/16.08 (define @t416 () (= @t415 @t414)) 15.53/16.08 (define @t417 () (>= @t409 0)) 15.53/16.08 (define @t418 () (not @t417)) 15.53/16.08 (define @t419 () (or @t412 @t418 @t416)) 15.53/16.08 (define @t420 () (or @t418 @t412)) 15.53/16.08 (define @t421 () (and @t420 (or (>= (+ @t170 @t410) 1) (not (>= (+ @t144 @t410) 1))))) 15.53/16.08 (define @t422 () (= (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t173 @t413)) (tptp.tb2t5 (tptp.get tptp.elt3 tptp.int @t143 @t413)))) 15.53/16.08 (define @t423 () (>= (+ @t409 @t154) 0)) 15.53/16.08 (define @t424 () (or @t421 @t422)) 15.53/16.08 (define @t425 () (= @t414 (tptp.t2tb5 (tptp.tb2t5 @t414)))) 15.53/16.08 (define @t426 () (not (tptp.sort1 tptp.elt3 @t414))) 15.53/16.08 (define @t427 () (or @t426 @t425)) 15.53/16.08 (define @t428 () (= @t415 (tptp.t2tb5 (tptp.tb2t5 @t415)))) 15.53/16.08 (define @t429 () (not (tptp.sort1 tptp.elt3 @t415))) 15.53/16.08 (define @t430 () (or @t429 @t428)) 15.53/16.08 (define @t431 () (and @t354 @t357 @t422 @t425 @t428)) 15.53/16.08 (define @t432 () (not @t419)) 15.53/16.08 (define @t433 () (forall @t42 @t408)) 15.53/16.08 (define @t434 () (not @t433)) 15.53/16.08 (define @t435 () (not (or @t423 @t418 @t416))) 15.53/16.08 (define @t436 () (= @t386 @t405)) 15.53/16.08 (define @t437 () (or @t391 @t389 @t436)) 15.53/16.08 (define @t438 () (and @t161 @t401 @t406 @t436 @t396)) 15.53/16.08 (assume @p1 (forall @t7 (=> @t6 (=> @t5 (=> (not @t4) (= @t3 @t2)))))) 15.53/16.08 (assume @p2 (forall (@list @v.0.A @v.0.M1 @v.0.M2 @v.0.L @v.0.U) (and (=> (forall @t9 (=> @t6 @t8)) @t10) (=> @t10 (forall @t9 @t8))))) 15.53/16.08 (assume @p3 (forall (@list @v.0.A @v.0.B @v.0.M @v.0.A1 @v.0.A2) (=> (tptp.sort1 @v.0.A @v.0.A1) (=> (tptp.sort1 @v.0.A @v.0.A2) (forall (@list @v.0.B1) (=> (not @t12) (= @t11 (tptp.get @v.0.B @v.0.A @v.0.M @v.0.A2)))))))) 15.53/16.08 (assume @p4 (forall @t21 (= (and @t20 @t19 @t18 (tptp.map_eq_sub1 @v.0.A @t17 @t16 @v.0.L @v.0.U) @t15 @t14) (tptp.array_eq_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)))) 15.53/16.08 (assume @p5 (forall (@list @v.1.U) (= @v.1.U tptp.tuple03))) 15.53/16.08 (assume @p6 (forall @t22 (=> (tptp.sort1 @v.0.A @v.2.U) (= (tptp.contents @v.0.A (tptp.mk_ref @v.0.A @v.2.U)) @v.2.U)))) 15.53/16.08 (assume @p7 (forall @t23 (= (tptp.div @v.0.X 1) @v.0.X))) 15.53/16.08 (assume @p8 (forall @t25 (tptp.sort1 @t24 (tptp.mk_array1 @v.0.A @v.0.X @v.0.X1)))) 15.53/16.08 (assume @p9 (forall @t28 (=> @t27 @t26))) 15.53/16.08 (assume @p10 (forall @t7 (=> @t5 (=> @t4 (= @t3 (+ 1 @t2)))))) 15.53/16.08 (assume @p11 (forall @t31 (= (and (<= (- @v.0.Y) @v.0.X) @t30) (<= @t29 @v.0.Y)))) 15.53/16.08 (assume @p12 (forall @t32 (= (tptp.t2tb4 (tptp.tb2t4 @v.1.J)) @v.1.J))) 15.53/16.08 (assume @p13 (forall (@list @v.0.A @v.0.B @v.0.B1 @v.0.A1) (=> @t33 (= (tptp.get @v.0.B @v.0.A (tptp.const @v.0.B @v.0.A @v.0.B1) @v.0.A1) @v.0.B1)))) 15.53/16.08 (assume @p14 @t52) 15.53/16.08 (assume @p15 (forall @t22 (=> (tptp.sort1 @t53 @v.2.U) (= @v.2.U (tptp.mk_ref @v.0.A (tptp.contents @v.0.A @v.2.U)))))) 15.53/16.08 (assume @p16 (forall @t54 (= (and (tptp.map_eq_sub1 @v.0.A @t17 @t16 0 @t13) @t14) (tptp.array_eq @v.0.A @v.0.A1 @v.0.A2)))) 15.53/16.08 (assume @p17 (forall @t7 (=> @t6 (=> (< 0 @t3) (exists @t42 (and @t58 @t56 @t55)))))) 15.53/16.08 (assume @p18 (forall @t31 (=> @t60 (<= (tptp.abs (* @t59 @v.0.Y)) @t29)))) 15.53/16.08 (assume @p19 (forall @t25 (tptp.sort1 @t24 (tptp.make1 @v.0.A @v.0.X @v.0.X1)))) 15.53/16.08 (assume @p20 (forall @t65 (=> (and @t64 @t63 @t62) (= (tptp.div @t61 @v.0.X) (+ @v.0.Y (tptp.div @v.0.Z @v.0.X)))))) 15.53/16.08 (assume @p21 (forall @t23 (= (tptp.mod @v.0.X 1) 0))) 15.53/16.08 (assume @p22 (forall @t31 (=> (and @t60 @t67) (<= @t66 0)))) 15.53/16.08 (assume @p23 (forall (@list @v.0.A @v.0.A1 @v.0.I @v.0.V) (= (tptp.set2 @v.0.A @v.0.A1 @v.0.I @v.0.V) (tptp.mk_array1 @v.0.A @t13 (tptp.set @v.0.A tptp.int @t17 @t41 @v.0.V))))) 15.53/16.08 (assume @p24 (forall (@list @v.0.A @v.0.M @v.0.L @v.0.U @v.0.I) (=> @t68 (< 0 (tptp.occ1 @v.0.A @t57 @v.0.M @v.0.L @v.0.U))))) 15.53/16.08 (assume @p25 (forall @t31 (=> @t60 (and (< @t66 @t69) (< (- @t69) @t66))))) 15.53/16.08 (assume @p26 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I @v.0.J) (= (tptp.exchange2 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I @v.0.J) (and @t55 @t77 (= @t76 (tptp.get @v.0.A tptp.int @v.0.A2 @t73)) @t75 (forall (@list @v.0.K) (=> (and (< @v.0.K @v.0.U) (<= @v.0.L @v.0.K)) (=> (not (= @v.0.K @v.0.I)) (=> (not (= @v.0.K @v.0.J)) (= (tptp.get @v.0.A tptp.int @v.0.A1 @t71) (tptp.get @v.0.A tptp.int @v.0.A2 @t71)))))) @t70 @t56)))) 15.53/16.08 (assume @p27 (forall (@list @v.0.A @v.0.B @v.1.X) (tptp.sort1 @t78 (tptp.const @v.0.B @v.0.A @v.1.X)))) 15.53/16.08 (assume @p28 (forall (@list @v.0.A @v.0.B @v.1.X @v.0.X1 @v.0.X2) (tptp.sort1 @t78 (tptp.set @v.0.B @v.0.A @v.1.X @v.0.X1 @v.0.X2)))) 15.53/16.08 (assume @p29 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.0.J @v.0.L @v.0.U) (=> @t27 (=> @t68 (=> @t80 (=> @t20 (=> @t15 @t79))))))) 15.53/16.08 (assume @p30 (forall @t81 (tptp.sort1 @v.0.A (tptp.contents @v.0.A @v.1.X)))) 15.53/16.08 (assume @p31 (forall (@list @v.0.A @v.2.X @v.0.X1 @v.0.X2) (tptp.sort1 @v.0.A (tptp.match_bool1 @v.0.A @v.2.X @v.0.X1 @v.0.X2)))) 15.53/16.08 (assume @p32 (forall @t82 (tptp.sort1 tptp.elt3 (tptp.t2tb5 @v.3.X)))) 15.53/16.08 (assume @p33 (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)))) 15.53/16.08 (assume @p34 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L1 @v.0.U1 @v.0.L2 @v.0.U2) (=> (tptp.permut_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L1 @v.0.U1) (=> (and (<= 0 @v.0.L2) (<= @v.0.L2 @v.0.L1)) (=> (and (<= @v.0.U1 @v.0.U2) (<= @v.0.U2 @t13)) (tptp.permut_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L2 @v.0.U2)))))) 15.53/16.08 (assume @p35 (forall (@list @v.2.A @v.0.L @v.0.U) (= (forall @t86 (=> (and (<= @v.0.L @v.0.I1) (< @v.0.I2 @v.0.U) @t85) @t84)) (tptp.sorted_sub2 @v.2.A @v.0.L @v.0.U)))) 15.53/16.08 (assume @p36 (forall (@list @v.2.A) (= (tptp.sorted2 @v.2.A) (forall @t86 (=> (and (< @v.0.I2 (tptp.length1 tptp.elt3 @t83)) @t85 (<= 0 @v.0.I1)) @t84))))) 15.53/16.08 (assume @p37 (forall (@list @v.0.A @v.0.A1 @v.0.L @v.0.U @v.0.I @v.0.J) (=> @t87 (=> @t80 (tptp.exchange2 @v.0.A @v.0.A1 (tptp.set @v.0.A tptp.int (tptp.set @v.0.A tptp.int @v.0.A1 @t41 @t74) @t73 @t76) @v.0.L @v.0.U @v.0.I @v.0.J))))) 15.53/16.08 (assume @p38 @t92) 15.53/16.08 (assume @p39 (forall @t7 (=> @t6 (=> (forall @t42 (=> @t68 (not @t58))) @t93)))) 15.53/16.08 (assume @p40 (forall @t94 (=> (tptp.sort1 @v.0.A @v.0.Z1) (= (tptp.match_bool1 @v.0.A tptp.false1 @v.1.Z @v.0.Z1) @v.0.Z1)))) 15.53/16.08 (assume @p41 (forall (@list @v.3.X @v.1.Y) (or (tptp.le2 @v.1.Y @v.3.X) @t95))) 15.53/16.08 (assume @p42 (forall @t23 (<= 0 @t29))) 15.53/16.08 (assume @p43 (forall @t31 (=> (and @t97 @t96) (= @t59 0)))) 15.53/16.08 (assume @p44 @t101) 15.53/16.08 (assume @p45 (forall @t31 (=> (and @t96 @t60) (<= 0 @t66)))) 15.53/16.08 (assume @p46 (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)))) 15.53/16.08 (assume @p47 (forall @t23 (and (=> (not @t96) (= @t29 (- @v.0.X))) (=> @t96 (= @t29 @v.0.X))))) 15.53/16.08 (assume @p48 @t105) 15.53/16.08 (assume @p49 (forall (@list @v.4.X) (tptp.sort1 (tptp.array tptp.elt3) (tptp.t2tb4 @v.4.X)))) 15.53/16.08 (assume @p50 (forall (@list @v.1.I) (= (tptp.tb2t6 (tptp.t2tb6 @v.1.I)) @v.1.I))) 15.53/16.08 (assume @p51 (forall @t32 (= (tptp.t2tb (tptp.tb2t @v.1.J)) @v.1.J))) 15.53/16.08 (assume @p52 @t108) 15.53/16.08 (assume @p53 (forall @t31 (=> @t111 (and @t109 (<= @t59 @v.0.X))))) 15.53/16.08 (assume @p54 (forall @t81 (tptp.sort1 @t103 (tptp.elts @v.0.A @v.1.X)))) 15.53/16.08 (assume @p55 (forall @t7 (=> (<= @v.0.L @v.0.U) (and (<= 0 @t3) (<= @t3 (- @v.0.U @v.0.L)))))) 15.53/16.08 (assume @p56 (forall @t82 (tptp.le2 @v.3.X @v.3.X))) 15.53/16.08 (assume @p57 (forall @t31 (=> (and @t110 @t67) (<= @t59 0)))) 15.53/16.08 (assume @p58 @t114) 15.53/16.08 (assume @p59 (forall @t31 (=> @t111 @t109))) 15.53/16.08 (assume @p60 (forall (@list @v.0.A @v.0.B @v.0.M @v.0.A1 @v.0.A2 @v.0.B1) (=> @t33 (=> @t12 (= @t11 @v.0.B1))))) 15.53/16.08 (assume @p61 (forall @t28 (= (and @t14 (tptp.exchange2 @v.0.A @t17 @t16 0 @t13 @v.0.I @v.0.J)) @t27))) 15.53/16.08 (assume @p62 (forall (@list @v.3.X @v.1.Y @v.2.Z) (=> @t95 (=> (tptp.le2 @v.1.Y @v.2.Z) (tptp.le2 @v.3.X @v.2.Z))))) 15.53/16.08 (assume @p63 (forall (@list @v.2.I) (= (tptp.tb2t4 (tptp.t2tb4 @v.2.I)) @v.2.I))) 15.53/16.08 (assume @p64 (forall (@list @v.0.A @v.1.X @v.1.X1 @v.0.X2) (tptp.sort1 @t24 (tptp.set2 @v.0.A @v.1.X @v.1.X1 @v.0.X2)))) 15.53/16.08 (assume @p65 (not (= tptp.true1 tptp.false1))) 15.53/16.08 (assume @p66 (forall (@list @v.5.X) (tptp.sort1 @t115 (tptp.t2tb6 @v.5.X)))) 15.53/16.08 (assume @p67 (forall (@list @v.0.A) (tptp.sort1 @v.0.A (tptp.witness1 @v.0.A)))) 15.53/16.08 (assume @p68 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I) (=> @t90 (=> @t87 (exists (@list @v.0.J) (and @t77 @t75 @t70)))))) 15.53/16.08 (assume @p69 (forall (@list @v.0.A @v.0.V @v.0.M1 @v.0.M2 @v.0.L @v.0.U) (=> (forall @t42 (=> @t87 (= (tptp.get @v.0.A tptp.int @v.0.M1 @t41) (tptp.get @v.0.A tptp.int @v.0.M2 @t41)))) @t8))) 15.53/16.08 (assume @p70 (forall (@list @v.0.A @v.0.N @v.0.V) (= (tptp.make1 @v.0.A @v.0.N @v.0.V) (tptp.mk_array1 @v.0.A @v.0.N (tptp.const @v.0.A tptp.int @v.0.V))))) 15.53/16.08 (assume @p71 (forall (@list @v.3.I) (= (tptp.tb2t5 (tptp.t2tb5 @v.3.I)) @v.3.I))) 15.53/16.08 (assume @p72 (forall (@list @v.3.U) (or (= @v.3.U tptp.true1) (= @v.3.U tptp.false1)))) 15.53/16.08 (assume @p73 (forall @t31 (=> @t60 (= @v.0.X (+ (* @v.0.Y @t59) @t66))))) 15.53/16.08 (assume @p74 (forall @t81 (tptp.sort1 @t53 (tptp.mk_ref @v.0.A @v.1.X)))) 15.53/16.08 (assume @p75 (forall (@list @v.0.A @v.0.V @v.0.M @v.0.L @v.0.Mid @v.0.U) (=> (and (<= @v.0.L @v.0.Mid) (<= @v.0.Mid @v.0.U)) (= @t3 (+ (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.L @v.0.Mid) (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.Mid @v.0.U)))))) 15.53/16.08 (assume @p76 (forall @t65 (=> @t30 (=> @t63 (<= (* @v.0.X @v.0.Z) (* @v.0.Y @v.0.Z)))))) 15.53/16.08 (assume @p77 (forall @t7 (=> (<= @v.0.U @v.0.L) @t93))) 15.53/16.08 (assume @p78 @t116) 15.53/16.08 (assume @p79 (forall @t23 (tptp.sort1 tptp.int (tptp.t2tb @v.0.X)))) 15.53/16.08 (assume @p80 @t118) 15.53/16.08 (assume @p81 (forall @t22 (= @v.2.U (tptp.mk_array1 @v.0.A (tptp.length1 @v.0.A @v.2.U) (tptp.elts @v.0.A @v.2.U))))) 15.53/16.08 (assume @p82 (forall @t31 (=> (and @t96 @t97) (= @t66 @v.0.X)))) 15.53/16.08 (assume @p83 @t121) 15.53/16.08 (assume @p84 (forall @t42 (= (tptp.tb2t @t41) @v.0.I))) 15.53/16.08 (assume @p85 (forall @t65 (=> (and @t64 @t62 @t63) (= (tptp.mod @t61 @v.0.X) (tptp.mod @v.0.Z @v.0.X))))) 15.53/16.08 (assume @p86 (forall @t94 (=> (tptp.sort1 @v.0.A @v.1.Z) (= (tptp.match_bool1 @v.0.A tptp.true1 @v.1.Z @v.0.Z1) @v.1.Z)))) 15.53/16.08 (assume @p87 (forall @t32 (=> (tptp.sort1 @t115 @v.1.J) (= (tptp.t2tb6 (tptp.tb2t6 @v.1.J)) @v.1.J)))) 15.53/16.08 (assume @p88 (forall @t54 (= @t26 (and (tptp.permut2 @v.0.A @t17 @t16 0 @t13) @t14)))) 15.53/16.08 (assume @p89 true) 15.53/16.08 (assume-push @p90 @t116) 15.53/16.08 (step @p91 :rule instantiate :premises (@p78) :args ((@list tptp.elt3 @t149 @t157))) 15.53/16.08 (step-pop @p769 :rule scope :premises (@p91)) 15.53/16.08 (step @p92 :rule process_scope :premises (@p769) :args ((= @t160 @t159))) 15.53/16.08 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p94 :rule trust :premises (@p92) :args ((=> @t116 @t161))) 15.53/16.08 (step @p95 :rule implies_elim :premises (@p94)) 15.53/16.08 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p96 :rule trust :premises (@p95 @p78) :args (@t161)) 15.53/16.08 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p97 :rule trust :premises () :args ((= @t114 @t162))) 15.53/16.08 (step @p98 :rule eq_resolve :premises (@p58 @p97)) 15.53/16.08 (assume-push @p99 @t162) 15.53/16.08 (step @p100 :rule instantiate :premises (@p98) :args ((@list tptp.elt3 @t150 @t146 0 @t153))) 15.53/16.08 (step-pop @p770 :rule scope :premises (@p100)) 15.53/16.08 (step @p101 :rule process_scope :premises (@p770) :args ((= @t165 (forall @t42 (or @t164 @t163 @t152))))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p103 :rule trust :premises (@p101) :args ((=> @t162 @t167))) 15.53/16.08 (step @p104 :rule implies_elim :premises (@p103)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p105 :rule trust :premises (@p104 @p98) :args (@t167)) 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p106 :rule trust :premises () :args ((= @t108 @t169))) 15.53/16.08 (step @p107 :rule eq_resolve :premises (@p52 @p106)) 15.53/16.08 (step @p108 :rule instantiate :premises (@p107) :args (@t171)) 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p109 :rule trust :premises () :args ((= @t92 (forall @t91 (or (not @t90) (not @t89) @t88))))) 15.53/16.08 (step @p110 :rule eq_resolve :premises (@p38 @p109)) 15.53/16.08 (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.elt3 @t150 @t175 @t146 @t153 @t170))) 15.53/16.08 (step @p112 :rule instantiate :premises (@p110) :args ((@list tptp.elt3 @t150 @t178 @t175 @t153 @t170))) 15.53/16.08 (step @p113 :rule instantiate :premises (@p107) :args (@t179)) 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p114 :rule trust :premises () :args ((= @t118 (forall @t21 (= @t79 @t117))))) 15.53/16.08 (step @p115 :rule eq_resolve :premises (@p80 @p114)) 15.53/16.08 (step @p116 :rule instantiate :premises (@p115) :args (@t179)) 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p117 :rule trust :premises () :args ((= @t52 @t181))) 15.53/16.08 (step @p118 :rule eq_resolve :premises (@p14 @p117)) 15.53/16.08 (step @p119 :rule refl :args (@t220)) 15.53/16.08 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p120 :rule trust :premises () :args ((= (not @t181) @t180))) 15.53/16.08 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (or)) 15.53/16.08 ; WARNING: add trust step for MACRO_REWRITE 15.53/16.08 ; trust MACRO_REWRITE 15.53/16.08 (step @p122 :rule trust :premises () :args ((= (=> @t181 @t221) (=> @t181 @t220)))) 15.53/16.08 (assume-push @p123 @t181) 15.53/16.08 (step @p124 :rule skolemize :premises (@p118)) 15.53/16.08 (step-pop @p771 :rule scope :premises (@p124)) 15.53/16.08 (step @p125 :rule process_scope :premises (@p771) :args (@t221)) 15.53/16.08 (step @p127 :rule eq_resolve :premises (@p125 @p122)) 15.53/16.08 (step @p128 :rule implies_elim :premises (@p127)) 15.53/16.08 (step @p129 :rule eq_resolve :premises (@p128 @p121)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p130 :rule trust :premises (@p129 @p118) :args (@t220)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p131 :rule trust :premises () :args ((= (not @t198) @t197))) 15.53/16.08 (step @p132 :rule refl :args (@t219)) 15.53/16.08 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (or)) 15.53/16.08 (step @p134 :rule cnf_or_neg :args (@t219 15)) 15.53/16.08 (step @p135 :rule eq_resolve :premises (@p134 @p133)) 15.53/16.08 (step @p136 :rule reordering :premises (@p135) :args ((or @t197 @t219))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p137 :rule trust :premises (@p136 @p130) :args (@t197)) 15.53/16.08 (step @p138 :rule cnf_equiv_pos1 :args (@t227)) 15.53/16.08 (step @p139 :rule reordering :premises (@p138) :args ((or @t198 @t226 (not @t227)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p140 :rule trust :premises (@p139 @p137 @p116) :args (@t226)) 15.53/16.08 (step @p141 :rule cnf_and_pos :args (@t226 2)) 15.53/16.08 (step @p142 :rule reordering :premises (@p141) :args ((or @t222 @t228))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p143 :rule trust :premises (@p142 @p140) :args (@t222)) 15.53/16.08 (step @p144 :rule cnf_equiv_pos1 :args (@t234)) 15.53/16.08 (step @p145 :rule reordering :premises (@p144) :args ((or (not @t222) @t233 (not @t234)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p146 :rule trust :premises (@p145 @p143 @p113) :args (@t233)) 15.53/16.08 (step @p147 :rule cnf_and_pos :args (@t233 1)) 15.53/16.08 (step @p148 :rule reordering :premises (@p147) :args ((or @t232 (not @t233)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p149 :rule trust :premises (@p148 @p146) :args (@t232)) 15.53/16.08 (assume-push @p150 @t169) 15.53/16.08 (step @p151 :rule instantiate :premises (@p107) :args (@t235)) 15.53/16.08 (step-pop @p772 :rule scope :premises (@p151)) 15.53/16.08 (step @p152 :rule process_scope :premises (@p772) :args ((= @t244 (and @t216 @t243 @t242 @t231 @t240 @t237)))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p154 :rule trust :premises (@p152) :args ((=> @t169 @t247))) 15.53/16.08 (step @p155 :rule implies_elim :premises (@p154)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p156 :rule trust :premises (@p155 @p107) :args (@t247)) 15.53/16.08 (step @p157 :rule instantiate :premises (@p115) :args (@t235)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p158 :rule trust :premises () :args ((= (not @t202) @t201))) 15.53/16.08 (step @p159 :rule nary_cong :premises (@p132 @p158) :args (or)) 15.53/16.08 (step @p160 :rule cnf_or_neg :args (@t219 12)) 15.53/16.08 (step @p161 :rule eq_resolve :premises (@p160 @p159)) 15.53/16.08 (step @p162 :rule reordering :premises (@p161) :args ((or @t201 @t219))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p163 :rule trust :premises (@p162 @p130) :args (@t201)) 15.53/16.08 (step @p164 :rule cnf_equiv_pos1 :args (@t251)) 15.53/16.08 (step @p165 :rule reordering :premises (@p164) :args ((or @t202 @t250 (not @t251)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p166 :rule trust :premises (@p165 @p163 @p157) :args (@t250)) 15.53/16.08 (step @p167 :rule cnf_and_pos :args (@t250 2)) 15.53/16.08 (step @p168 :rule reordering :premises (@p167) :args ((or @t244 @t252))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p169 :rule trust :premises (@p168 @p166) :args (@t244)) 15.53/16.08 (step @p170 :rule cnf_equiv_pos1 :args (@t247)) 15.53/16.08 (step @p171 :rule reordering :premises (@p170) :args ((or (not @t244) @t246 (not @t247)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p172 :rule trust :premises (@p171 @p169 @p156) :args (@t246)) 15.53/16.08 (step @p173 :rule cnf_and_pos :args (@t246 1)) 15.53/16.08 (step @p174 :rule reordering :premises (@p173) :args ((or @t243 @t253))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p175 :rule trust :premises (@p174 @p172) :args (@t243)) 15.53/16.08 (step @p176 :rule cnf_or_pos :args (@t257)) 15.53/16.08 (step @p177 :rule reordering :premises (@p176) :args ((or @t256 @t255 @t254 (not @t257)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p178 :rule trust :premises (@p177 @p175 @p149 @p112) :args (@t254)) 15.53/16.08 (step @p179 :rule instantiate :premises (@p107) :args ((@list tptp.elt3 @t174 @t145 @t153 @t170))) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p180 :rule trust :premises () :args ((= (not @t185) @t184))) 15.53/16.08 (step @p181 :rule nary_cong :premises (@p132 @p180) :args (or)) 15.53/16.08 (step @p182 :rule cnf_or_neg :args (@t219 18)) 15.53/16.08 (step @p183 :rule eq_resolve :premises (@p182 @p181)) 15.53/16.08 (step @p184 :rule reordering :premises (@p183) :args ((or @t184 @t219))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p185 :rule trust :premises (@p184 @p130) :args (@t184)) 15.53/16.08 (step @p186 :rule cnf_equiv_pos1 :args (@t262)) 15.53/16.08 (step @p187 :rule reordering :premises (@p186) :args ((or @t185 @t261 (not @t262)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p188 :rule trust :premises (@p187 @p185 @p179) :args (@t261)) 15.53/16.08 (step @p189 :rule cnf_and_pos :args (@t261 1)) 15.53/16.08 (step @p190 :rule reordering :premises (@p189) :args ((or @t260 @t263))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p191 :rule trust :premises (@p190 @p188) :args (@t260)) 15.53/16.08 (step @p192 :rule cnf_or_pos :args (@t267)) 15.53/16.08 (step @p193 :rule reordering :premises (@p192) :args ((or @t265 @t264 @t266 (not @t267)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p194 :rule trust :premises (@p193 @p191 @p178 @p111) :args (@t264)) 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p195 :rule trust :premises () :args ((= @t101 (forall @t100 (= @v.0.U @t99))))) 15.53/16.08 (step @p196 :rule eq_resolve :premises (@p44 @p195)) 15.53/16.08 (step @p197 :rule instantiate :premises (@p196) :args (@t268)) 15.53/16.08 (step @p198 :rule instantiate :premises (@p196) :args ((@list tptp.elt3 @t144 @t148))) 15.53/16.08 (step @p199 :rule symm :premises (@p198)) 15.53/16.08 (step @p200 :rule trans :premises (@p199 @p197)) 15.53/16.08 (assume-push @p201 @t169) 15.53/16.08 (step @p202 :rule instantiate :premises (@p107) :args (@t269)) 15.53/16.08 (step-pop @p773 :rule scope :premises (@p202)) 15.53/16.08 (step @p203 :rule process_scope :premises (@p773) :args ((= @t271 (and @t216 @t270 (not (>= (+ @t194 @t238) 1)) @t208 @t240 @t237)))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p205 :rule trust :premises (@p203) :args ((=> @t169 @t273))) 15.53/16.08 (step @p206 :rule implies_elim :premises (@p205)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p207 :rule trust :premises (@p206 @p107) :args (@t273)) 15.53/16.08 (step @p208 :rule instantiate :premises (@p115) :args (@t269)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p209 :rule trust :premises () :args ((= (not @t204) @t203))) 15.53/16.08 (step @p210 :rule nary_cong :premises (@p132 @p209) :args (or)) 15.53/16.08 (step @p211 :rule cnf_or_neg :args (@t219 11)) 15.53/16.08 (step @p212 :rule eq_resolve :premises (@p211 @p210)) 15.53/16.08 (step @p213 :rule reordering :premises (@p212) :args ((or @t203 @t219))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p214 :rule trust :premises (@p213 @p130) :args (@t203)) 15.53/16.08 (step @p215 :rule cnf_equiv_pos1 :args (@t275)) 15.53/16.08 (step @p216 :rule reordering :premises (@p215) :args ((or @t204 @t274 (not @t275)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p217 :rule trust :premises (@p216 @p214 @p208) :args (@t274)) 15.53/16.08 (step @p218 :rule cnf_and_pos :args (@t274 2)) 15.53/16.08 (step @p219 :rule reordering :premises (@p218) :args ((or @t271 (not @t274)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p220 :rule trust :premises (@p219 @p217) :args (@t271)) 15.53/16.08 (step @p221 :rule cnf_equiv_pos1 :args (@t273)) 15.53/16.08 (step @p222 :rule reordering :premises (@p221) :args ((or (not @t271) @t272 (not @t273)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p223 :rule trust :premises (@p222 @p220 @p207) :args (@t272)) 15.53/16.08 (step @p224 :rule cnf_and_pos :args (@t272 4)) 15.53/16.08 (step @p225 :rule reordering :premises (@p224) :args ((or @t240 (not @t272)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p226 :rule trust :premises (@p225 @p223) :args (@t240)) 15.53/16.08 (step @p227 :rule cnf_and_pos :args (@t246 2)) 15.53/16.08 (step @p228 :rule reordering :premises (@p227) :args ((or @t242 @t253))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p229 :rule trust :premises (@p228 @p172) :args (@t242)) 15.53/16.08 (step @p230 :rule cnf_and_pos :args (@t261 3)) 15.53/16.08 (step @p231 :rule reordering :premises (@p230) :args ((or @t231 @t263))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p232 :rule trust :premises (@p231 @p188) :args (@t231)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p233 :rule trust :premises () :args ((= (not @t217) @t216))) 15.53/16.08 (step @p234 :rule nary_cong :premises (@p132 @p233) :args (or)) 15.53/16.08 (step @p235 :rule cnf_or_neg :args (@t219 1)) 15.53/16.08 (step @p236 :rule eq_resolve :premises (@p235 @p234)) 15.53/16.08 (step @p237 :rule reordering :premises (@p236) :args ((or @t216 @t219))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p238 :rule trust :premises (@p237 @p130) :args (@t216)) 15.53/16.08 (step @p239 :rule refl :args (@t277)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p240 :rule trust :premises () :args ((= (not @t240) @t239))) 15.53/16.08 (step @p241 :rule refl :args (@t278)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p242 :rule trust :premises () :args ((= (not @t242) @t241))) 15.53/16.08 (step @p243 :rule refl :args (@t279)) 15.53/16.08 (step @p244 :rule refl :args (@t217)) 15.53/16.08 (step @p245 :rule refl :args (@t280)) 15.53/16.08 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243 @p242 @p241 @p240 @p239) :args (or)) 15.53/16.08 (step @p247 :rule cnf_and_neg :args (@t280)) 15.53/16.08 (step @p248 :rule eq_resolve :premises (@p247 @p246)) 15.53/16.08 (step @p249 :rule reordering :premises (@p248) :args ((or @t217 @t278 @t241 @t239 @t280 @t277 @t279))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p250 :rule trust :premises (@p249 @p238 @p232 @p229 @p226 @p200 @p194) :args (@t280)) 15.53/16.08 (step @p251 :rule cnf_equiv_pos2 :args (@t282)) 15.53/16.08 (step @p252 :rule reordering :premises (@p251) :args ((or @t281 (not @t280) (not @t282)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p253 :rule trust :premises (@p252 @p250 @p108) :args (@t281)) 15.53/16.08 (assume-push @p254 @t162) 15.53/16.08 (step @p255 :rule instantiate :premises (@p98) :args ((@list tptp.elt3 @t150 @t146 @t170 @t236))) 15.53/16.08 (step-pop @p774 :rule scope :premises (@p255)) 15.53/16.08 (step @p256 :rule process_scope :premises (@p774) :args ((= @t285 (forall @t42 (or @t284 @t283 @t152))))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p258 :rule trust :premises (@p256) :args ((=> @t162 @t289))) 15.53/16.08 (step @p259 :rule implies_elim :premises (@p258)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p260 :rule trust :premises (@p259 @p98) :args (@t289)) 15.53/16.08 (step @p261 :rule cnf_or_neg :args (@t298 0)) 15.53/16.08 (step @p262 :rule cnf_or_neg :args (@t298 1)) 15.53/16.08 (step @p263 :rule reordering :premises (@p262) :args ((or (not @t295) @t298))) 15.53/16.08 (step @p264 :rule cnf_or_neg :args (@t298 2)) 15.53/16.08 (assume-push @p265 @t162) 15.53/16.08 (step @p266 :rule instantiate :premises (@p98) :args ((@list tptp.elt3 @t150 @t178 @t170 @t236))) 15.53/16.08 (step-pop @p775 :rule scope :premises (@p266)) 15.53/16.08 (step @p267 :rule process_scope :premises (@p775) :args ((= @t248 (forall @t42 (or @t284 @t283 @t300))))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p269 :rule trust :premises (@p267) :args ((=> @t162 @t303))) 15.53/16.08 (step @p270 :rule implies_elim :premises (@p269)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p271 :rule trust :premises (@p270 @p98) :args (@t303)) 15.53/16.08 (step @p272 :rule cnf_and_pos :args (@t250 1)) 15.53/16.08 (step @p273 :rule reordering :premises (@p272) :args ((or @t248 @t252))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p274 :rule trust :premises (@p273 @p166) :args (@t248)) 15.53/16.08 (step @p275 :rule cnf_equiv_pos1 :args (@t303)) 15.53/16.08 (step @p276 :rule reordering :premises (@p275) :args ((or (not @t248) @t302 (not @t303)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p277 :rule trust :premises (@p276 @p274 @p271) :args (@t302)) 15.53/16.08 (assume-push @p278 @t302) 15.53/16.08 (step @p279 :rule instantiate :premises (@p277) :args (@t304)) 15.53/16.08 (step-pop @p776 :rule scope :premises (@p279)) 15.53/16.08 (step @p280 :rule process_scope :premises (@p776) :args ((or @t297 @t306 (= @t305 @t293)))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p282 :rule trust :premises (@p280) :args ((=> @t302 @t308))) 15.53/16.08 (step @p283 :rule implies_elim :premises (@p282)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p284 :rule trust :premises (@p283 @p277) :args (@t308)) 15.53/16.08 (step @p285 :rule cnf_or_pos :args (@t308)) 15.53/16.08 (step @p286 :rule reordering :premises (@p285) :args ((or @t297 @t295 @t307 (not @t308)))) 15.53/16.08 (step @p287 :rule instantiate :premises (@p196) :args ((@list tptp.elt3 @t144 @t176))) 15.53/16.08 (assume-push @p288 @t309) 15.53/16.08 (assume-push @p289 @t310) 15.53/16.08 (assume-push @p290 @t311) 15.53/16.08 (assume-push @p291 @t313) 15.53/16.08 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p292 :rule trust :premises (@p290) :args (@t314)) 15.53/16.08 (step @p293 :rule int_tight_ub :premises (@p292)) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p294 :rule trust :premises (@p198) :args ((= @t315 0))) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p295 :rule trust :premises (@p287) :args ((= @t316 0))) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p296 :rule trust :premises (@p291) :args (@t313)) 15.53/16.08 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 15.53/16.08 ; trust MACRO_ARITH_SCALE_SUM_UB 15.53/16.08 (step @p297 :rule trust :premises (@p296 @p295 @p294 @p293) :args ((<= (+ (* -1 @t312) @t316 @t318 @t296) (+ @t317 0 @t317 -1)))) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p298 false :rule trust :premises (@p297) :args (false)) 15.53/16.08 (step-pop @p777 :rule scope :premises (@p298)) 15.53/16.08 (step-pop @p778 :rule scope :premises (@p777)) 15.53/16.08 (step-pop @p779 :rule scope :premises (@p778)) 15.53/16.08 (step-pop @p780 :rule scope :premises (@p779)) 15.53/16.08 (step @p299 :rule process_scope :premises (@p780) :args (false)) 15.53/16.08 (step @p304 :rule not_and :premises (@p299)) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p305 :rule trust :premises (@p304) :args ((or (not @t309) @t319 @t297 (not @t313)))) 15.53/16.08 (step @p306 :rule instantiate :premises (@p196) :args (@t320)) 15.53/16.08 (assume-push @p307 @t310) 15.53/16.08 (assume-push @p308 @t321) 15.53/16.08 (assume-push @p309 @t311) 15.53/16.08 (assume-push @p310 @t323) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p311 :rule trust :premises (@p290) :args (@t314)) 15.53/16.08 (step @p312 :rule int_tight_ub :premises (@p311)) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p313 :rule trust :premises (@p306) :args ((= @t324 0))) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p314 :rule trust :premises (@p310) :args (@t323)) 15.53/16.08 ; trust MACRO_ARITH_SCALE_SUM_UB 15.53/16.08 (step @p315 :rule trust :premises (@p314 @p294 @p313 @p312) :args ((<= (+ (* -1 @t322) @t318 @t324 @t296) (+ @t317 @t317 0 -1)))) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p316 false :rule trust :premises (@p315) :args (false)) 15.53/16.08 (step-pop @p781 :rule scope :premises (@p316)) 15.53/16.08 (step-pop @p782 :rule scope :premises (@p781)) 15.53/16.08 (step-pop @p783 :rule scope :premises (@p782)) 15.53/16.08 (step-pop @p784 :rule scope :premises (@p783)) 15.53/16.08 (step @p317 :rule process_scope :premises (@p784) :args (false)) 15.53/16.08 (step @p322 :rule not_and :premises (@p317)) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p323 :rule trust :premises (@p322) :args ((or @t319 @t325 @t297 (not @t323)))) 15.53/16.08 (assume-push @p324 @t162) 15.53/16.08 (step @p325 :rule instantiate :premises (@p98) :args ((@list tptp.elt3 @t178 @t175 @t170 @t223))) 15.53/16.08 (step-pop @p785 :rule scope :premises (@p325)) 15.53/16.08 (step @p326 :rule process_scope :premises (@p785) :args ((= @t224 (forall @t42 (or (not (>= (+ @t223 @t129) 1)) @t283 @t327))))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p328 :rule trust :premises (@p326) :args ((=> @t162 @t329))) 15.53/16.08 (step @p329 :rule implies_elim :premises (@p328)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p330 :rule trust :premises (@p329 @p98) :args (@t329)) 15.53/16.08 (step @p331 :rule cnf_and_pos :args (@t226 1)) 15.53/16.08 (step @p332 :rule reordering :premises (@p331) :args ((or @t224 @t228))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p333 :rule trust :premises (@p332 @p140) :args (@t224)) 15.53/16.08 (step @p334 :rule cnf_equiv_pos1 :args (@t329)) 15.53/16.08 (step @p335 :rule reordering :premises (@p334) :args ((or (not @t224) @t328 (not @t329)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p336 :rule trust :premises (@p335 @p333 @p330) :args (@t328)) 15.53/16.08 (assume-push @p337 @t328) 15.53/16.08 (step @p338 :rule instantiate :premises (@p336) :args (@t304)) 15.53/16.08 (step-pop @p786 :rule scope :premises (@p338)) 15.53/16.08 (step @p339 :rule process_scope :premises (@p786) :args ((or @t313 @t306 (= @t305 @t330)))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p341 :rule trust :premises (@p339) :args ((=> @t328 @t332))) 15.53/16.08 (step @p342 :rule implies_elim :premises (@p341)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p343 :rule trust :premises (@p342 @p336) :args (@t332)) 15.53/16.08 (step @p344 :rule cnf_or_pos :args (@t332)) 15.53/16.08 (step @p345 :rule reordering :premises (@p344) :args ((or @t295 @t331 @t313 (not @t332)))) 15.53/16.08 (step @p346 :rule cnf_or_neg :args (@t344 0)) 15.53/16.08 (step @p347 :rule cnf_or_neg :args (@t344 1)) 15.53/16.08 (step @p348 :rule reordering :premises (@p347) :args ((or (not @t341) @t344))) 15.53/16.08 (step @p349 :rule cnf_or_neg :args (@t344 2)) 15.53/16.08 (assume-push @p350 (not @t343)) 15.53/16.08 (assume-push @p351 @t321) 15.53/16.08 (assume-push @p352 @t347) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p353 :rule trust :premises (@p350) :args ((< @t342 0))) 15.53/16.08 (step @p354 :rule int_tight_ub :premises (@p353)) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p355 :rule trust :premises (@p352) :args ((< @t345 1))) 15.53/16.08 ; trust MACRO_ARITH_SCALE_SUM_UB 15.53/16.08 (step @p356 :rule trust :premises (@p355 @p354 @p313) :args ((< (+ @t345 @t342 (* -1 @t324)) (+ 1 -1 @t317)))) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p357 false :rule trust :premises (@p356) :args (false)) 15.53/16.08 (step-pop @p787 :rule scope :premises (@p357)) 15.53/16.08 (step-pop @p788 :rule scope :premises (@p787)) 15.53/16.08 (step-pop @p789 :rule scope :premises (@p788)) 15.53/16.08 (step @p358 :rule process_scope :premises (@p789) :args (false)) 15.53/16.08 (step @p362 :rule not_and :premises (@p358)) 15.53/16.08 ; trust MACRO_SR_PRED_TRANSFORM 15.53/16.08 (step @p363 :rule trust :premises (@p362) :args ((or @t343 @t325 @t346))) 15.53/16.08 (step @p364 :rule reordering :premises (@p363) :args ((or @t325 @t343 @t346))) 15.53/16.08 (step @p365 :rule cnf_or_pos :args (@t348)) 15.53/16.08 (step @p366 :rule reordering :premises (@p365) :args ((or @t341 @t347 (not @t348)))) 15.53/16.08 (step @p367 :rule cnf_and_pos :args (@t350 1)) 15.53/16.08 (step @p368 :rule reordering :premises (@p367) :args ((or @t348 (not @t350)))) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p369 :rule trust :premises () :args ((= (not @t192) @t191))) 15.53/16.08 (step @p370 :rule nary_cong :premises (@p132 @p369) :args (or)) 15.53/16.08 (step @p371 :rule cnf_or_neg :args (@t219 17)) 15.53/16.08 (step @p372 :rule eq_resolve :premises (@p371 @p370)) 15.53/16.08 (step @p373 :rule reordering :premises (@p372) :args ((or @t191 @t219))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p374 :rule trust :premises (@p373 @p130) :args (@t191)) 15.53/16.08 (assume-push @p375 @t191) 15.53/16.08 (step @p376 :rule instantiate :premises (@p374) :args ((@list @t335))) 15.53/16.08 (step-pop @p790 :rule scope :premises (@p376)) 15.53/16.08 (step @p377 :rule process_scope :premises (@p790) :args ((or (and (or @t349 (>= (+ @t335 @t154) 0)) (or @t352 (>= (+ @t335 @t187) 0))) @t351))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p379 :rule trust :premises (@p377) :args ((=> @t191 @t353))) 15.53/16.08 (step @p380 :rule implies_elim :premises (@p379)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p381 :rule trust :premises (@p380 @p374) :args (@t353)) 15.53/16.08 (step @p382 :rule cnf_or_pos :args (@t353)) 15.53/16.08 (step @p383 :rule reordering :premises (@p382) :args ((or @t351 @t350 (not @t353)))) 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p384 :rule trust :premises () :args ((= @t105 (forall @t100 (or (not @t104) (= @v.1.U1 @t102)))))) 15.53/16.08 (step @p385 :rule eq_resolve :premises (@p48 @p384)) 15.53/16.08 (step @p386 :rule instantiate :premises (@p385) :args (@t320)) 15.53/16.08 (step @p387 :rule instantiate :premises (@p66) :args ((@list @t172))) 15.53/16.08 (step @p388 :rule cnf_or_pos :args (@t356)) 15.53/16.08 (step @p389 :rule reordering :premises (@p388) :args ((or @t355 @t354 (not @t356)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p390 :rule trust :premises (@p389 @p387 @p386) :args (@t354)) 15.53/16.08 (step @p391 :rule instantiate :premises (@p385) :args (@t268)) 15.53/16.08 (step @p392 :rule instantiate :premises (@p66) :args ((@list @t142))) 15.53/16.08 (step @p393 :rule cnf_or_pos :args (@t359)) 15.53/16.08 (step @p394 :rule reordering :premises (@p393) :args ((or @t358 @t357 (not @t359)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p395 :rule trust :premises (@p394 @p392 @p391) :args (@t357)) 15.53/16.08 ; trust MACRO_SR_EQ_INTRO 15.53/16.08 (step @p396 :rule trust :premises () :args ((= @t121 (forall @t32 (or (not @t120) (= @v.1.J @t119)))))) 15.53/16.08 (step @p397 :rule eq_resolve :premises (@p83 @p396)) 15.53/16.08 (step @p398 :rule instantiate :premises (@p397) :args ((@list @t337))) 15.53/16.08 (step @p399 :rule instantiate :premises (@p33) :args ((@list tptp.int tptp.elt3 @t146 @t336))) 15.53/16.08 (step @p400 :rule cnf_or_pos :args (@t362)) 15.53/16.08 (step @p401 :rule reordering :premises (@p400) :args ((or @t361 @t360 (not @t362)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p402 :rule trust :premises (@p401 @p399 @p398) :args (@t360)) 15.53/16.08 (step @p403 :rule instantiate :premises (@p397) :args ((@list @t338))) 15.53/16.08 (step @p404 :rule instantiate :premises (@p33) :args ((@list tptp.int tptp.elt3 @t175 @t336))) 15.53/16.08 (step @p405 :rule cnf_or_pos :args (@t365)) 15.53/16.08 (step @p406 :rule reordering :premises (@p405) :args ((or @t364 @t363 (not @t365)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p407 :rule trust :premises (@p406 @p404 @p403) :args (@t363)) 15.53/16.08 (assume-push @p408 @t354) 15.53/16.08 (assume-push @p409 @t357) 15.53/16.08 (assume-push @p410 @t351) 15.53/16.08 (assume-push @p411 @t360) 15.53/16.08 (assume-push @p412 @t363) 15.53/16.08 (assume-push @p413 @t360) 15.53/16.08 (assume-push @p414 @t357) 15.53/16.08 (assume-push @p415 @t351) 15.53/16.08 (assume-push @p416 @t354) 15.53/16.08 (assume-push @p417 @t363) 15.53/16.08 (step @p418 :rule symm :premises (@p402)) 15.53/16.08 (step @p419 :rule refl :args (@t336)) 15.53/16.08 (step @p420 :rule refl :args (tptp.int)) 15.53/16.08 (step @p421 :rule refl :args (tptp.elt3)) 15.53/16.08 (step @p422 :rule cong :premises (@p421 @p420 @p395 @p419) :args (tptp.get)) 15.53/16.08 (step @p423 :rule cong :premises (@p422) :args (tptp.tb2t5)) 15.53/16.08 (step @p424 :rule symm :premises (@p410)) 15.53/16.08 (step @p425 :rule symm :premises (@p424)) 15.53/16.08 (step @p426 :rule trans :premises (@p425 @p423)) 15.53/16.08 (step @p427 :rule cong :premises (@p426) :args (tptp.t2tb5)) 15.53/16.08 (step @p428 :rule symm :premises (@p390)) 15.53/16.08 (step @p429 :rule cong :premises (@p421 @p420 @p428 @p419) :args (tptp.get)) 15.53/16.08 (step @p430 :rule cong :premises (@p429) :args (tptp.tb2t5)) 15.53/16.08 (step @p431 :rule cong :premises (@p430) :args (tptp.t2tb5)) 15.53/16.08 (step @p432 :rule trans :premises (@p407 @p431 @p427 @p418)) 15.53/16.08 (step-pop @p791 :rule scope :premises (@p432)) 15.53/16.08 (step-pop @p792 :rule scope :premises (@p791)) 15.53/16.08 (step-pop @p793 :rule scope :premises (@p792)) 15.53/16.08 (step-pop @p794 :rule scope :premises (@p793)) 15.53/16.08 (step-pop @p795 :rule scope :premises (@p794)) 15.53/16.08 (step @p433 :rule process_scope :premises (@p795) :args (@t339)) 15.53/16.08 (step @p439 :rule and_intro :premises (@p402 @p395 @p410 @p390 @p407)) 15.53/16.08 (step @p440 :rule modus_ponens :premises (@p439 @p433)) 15.53/16.08 (step-pop @p796 :rule scope :premises (@p440)) 15.53/16.08 (step-pop @p797 :rule scope :premises (@p796)) 15.53/16.08 (step-pop @p798 :rule scope :premises (@p797)) 15.53/16.08 (step-pop @p799 :rule scope :premises (@p798)) 15.53/16.08 (step-pop @p800 :rule scope :premises (@p799)) 15.53/16.08 (step @p441 :rule process_scope :premises (@p800) :args (@t339)) 15.53/16.08 (step @p447 :rule implies_elim :premises (@p441)) 15.53/16.08 (step @p448 :rule cnf_and_neg :args (@t366)) 15.53/16.08 (step @p449 :rule resolution :premises (@p448 @p447) :args (true @t366)) 15.53/16.08 (step @p450 :rule reordering :premises (@p449) :args ((or @t368 @t367 @t339 (not @t351) (not @t360) (not @t363)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p451 :rule trust :premises (@p450 @p407 @p402 @p395 @p390 @p383 @p381 @p368 @p366 @p364 @p306 @p349 @p348 @p346) :args (@t344)) 15.53/16.08 (step @p452 :rule refl :args (@t369)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p453 :rule trust :premises () :args ((= (not @t371) @t370))) 15.53/16.08 (step @p454 :rule nary_cong :premises (@p453 @p452) :args (or)) 15.53/16.08 ; trust MACRO_REWRITE 15.53/16.08 (step @p455 :rule trust :premises () :args ((= (=> @t371 @t372) (=> @t371 @t369)))) 15.53/16.08 (assume-push @p456 @t371) 15.53/16.08 (step @p457 :rule skolemize :premises (@p456)) 15.53/16.08 (step-pop @p801 :rule scope :premises (@p457)) 15.53/16.08 (step @p458 :rule process_scope :premises (@p801) :args (@t372)) 15.53/16.08 (step @p460 :rule eq_resolve :premises (@p458 @p455)) 15.53/16.08 (step @p461 :rule implies_elim :premises (@p460)) 15.53/16.08 (step @p462 :rule eq_resolve :premises (@p461 @p454)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p463 :rule trust :premises (@p462 @p451) :args (@t370)) 15.53/16.08 (assume-push @p464 @t370) 15.53/16.08 (step @p465 :rule instantiate :premises (@p464) :args (@t304)) 15.53/16.08 (step-pop @p802 :rule scope :premises (@p465)) 15.53/16.08 (step @p466 :rule process_scope :premises (@p802) :args ((or @t323 @t306 (= @t330 @t292)))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p468 :rule trust :premises (@p466) :args ((=> @t370 @t374))) 15.53/16.08 (step @p469 :rule implies_elim :premises (@p468)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p470 :rule trust :premises (@p469 @p463) :args (@t374)) 15.53/16.08 (step @p471 :rule cnf_or_pos :args (@t374)) 15.53/16.08 (step @p472 :rule reordering :premises (@p471) :args ((or @t295 @t323 @t373 (not @t374)))) 15.53/16.08 (assume-push @p473 @t116) 15.53/16.08 (step @p474 :rule instantiate :premises (@p78) :args ((@list tptp.elt3 @t149 @t290))) 15.53/16.08 (step-pop @p803 :rule scope :premises (@p474)) 15.53/16.08 (step @p475 :rule process_scope :premises (@p803) :args ((= @t375 @t293))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p477 :rule trust :premises (@p475) :args ((=> @t116 @t376))) 15.53/16.08 (step @p478 :rule implies_elim :premises (@p477)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p479 :rule trust :premises (@p478 @p78) :args (@t376)) 15.53/16.08 (step @p480 :rule refl :args ((not @t373))) 15.53/16.08 (step @p481 :rule refl :args ((not @t307))) 15.53/16.08 (step @p482 :rule refl :args ((not @t331))) 15.53/16.08 (step @p483 :rule refl :args ((not @t376))) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p484 :rule trust :premises () :args ((= (not @t377) @t294))) 15.53/16.08 (step @p485 :rule nary_cong :premises (@p484 @p483 @p482 @p481 @p480) :args (or)) 15.53/16.08 (assume-push @p486 @t376) 15.53/16.08 (assume-push @p487 @t307) 15.53/16.08 (assume-push @p488 @t331) 15.53/16.08 (assume-push @p489 @t373) 15.53/16.08 (assume-push @p490 @t377) 15.53/16.08 (step @p491 :rule symm :premises (@p487)) 15.53/16.08 (step @p492 :rule symm :premises (@p488)) 15.53/16.08 (step @p493 :rule symm :premises (@p492)) 15.53/16.08 (step @p494 :rule symm :premises (@p489)) 15.53/16.08 (step @p495 :rule symm :premises (@p494)) 15.53/16.08 (step @p496 :rule trans :premises (@p495 @p493 @p491 @p479)) 15.53/16.08 (step @p497 :rule symm :premises (@p496)) 15.53/16.08 (step @p498 :rule trans :premises (@p479 @p497)) 15.53/16.08 (step @p499 :rule true_intro :premises (@p498)) 15.53/16.08 (step @p500 :rule false_intro :premises (@p490)) 15.53/16.08 (step @p501 :rule symm :premises (@p500)) 15.53/16.08 (step @p502 :rule trans :premises (@p501 @p499)) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p503 false :rule trust :premises (@p502) :args (false)) 15.53/16.08 (step-pop @p804 :rule scope :premises (@p503)) 15.53/16.08 (step-pop @p805 :rule scope :premises (@p804)) 15.53/16.08 (step-pop @p806 :rule scope :premises (@p805)) 15.53/16.08 (step-pop @p807 :rule scope :premises (@p806)) 15.53/16.08 (step-pop @p808 :rule scope :premises (@p807)) 15.53/16.08 (step @p504 :rule process_scope :premises (@p808) :args (false)) 15.53/16.08 (assume-push @p510 @t377) 15.53/16.08 (assume-push @p511 @t376) 15.53/16.08 (assume-push @p512 @t331) 15.53/16.08 (assume-push @p513 @t307) 15.53/16.08 (assume-push @p514 @t373) 15.53/16.08 (step @p515 :rule and_intro :premises (@p479 @p487 @p488 @p489 @p490)) 15.53/16.08 (step-pop @p809 :rule scope :premises (@p515)) 15.53/16.08 (step-pop @p810 :rule scope :premises (@p809)) 15.53/16.08 (step-pop @p811 :rule scope :premises (@p810)) 15.53/16.08 (step-pop @p812 :rule scope :premises (@p811)) 15.53/16.08 (step-pop @p813 :rule scope :premises (@p812)) 15.53/16.08 (step @p516 :rule process_scope :premises (@p813) :args (@t378)) 15.53/16.08 (step @p522 :rule implies_elim :premises (@p516)) 15.53/16.08 (step @p523 :rule resolution :premises (@p522 @p504) :args (true @t378)) 15.53/16.08 (step @p524 :rule not_and :premises (@p523)) 15.53/16.08 (step @p525 :rule eq_resolve :premises (@p524 @p485)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p526 :rule trust :premises (@p525 @p479 @p472 @p470 @p345 @p343 @p323 @p306 @p198 @p305 @p198 @p287 @p286 @p284 @p264 @p263 @p261) :args (@t298)) 15.53/16.08 (step @p527 :rule refl :args (@t379)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p528 :rule trust :premises () :args ((= (not @t380) @t288))) 15.53/16.08 (step @p529 :rule nary_cong :premises (@p528 @p527) :args (or)) 15.53/16.08 ; trust MACRO_REWRITE 15.53/16.08 (step @p530 :rule trust :premises () :args ((= (=> @t380 @t381) (=> @t380 @t379)))) 15.53/16.08 (assume-push @p531 @t380) 15.53/16.08 (step @p532 :rule skolemize :premises (@p531)) 15.53/16.08 (step-pop @p814 :rule scope :premises (@p532)) 15.53/16.08 (step @p533 :rule process_scope :premises (@p814) :args (@t381)) 15.53/16.08 (step @p535 :rule eq_resolve :premises (@p533 @p530)) 15.53/16.08 (step @p536 :rule implies_elim :premises (@p535)) 15.53/16.08 (step @p537 :rule eq_resolve :premises (@p536 @p529)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p538 :rule trust :premises (@p537 @p526) :args (@t288)) 15.53/16.08 (step @p539 :rule cnf_equiv_pos2 :args (@t289)) 15.53/16.08 (step @p540 :rule reordering :premises (@p539) :args ((or @t285 @t380 (not @t289)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p541 :rule trust :premises (@p540 @p538 @p260) :args (@t285)) 15.53/16.08 (step @p542 :rule instantiate :premises (@p115) :args (@t171)) 15.53/16.08 (step @p543 :rule cnf_or_neg :args (@t219 20)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p544 :rule trust :premises (@p543 @p130) :args ((not @t182))) 15.53/16.08 (step @p545 :rule cnf_equiv_pos2 :args (@t383)) 15.53/16.08 (step @p546 :rule reordering :premises (@p545) :args ((or @t182 @t384 (not @t383)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p547 :rule trust :premises (@p546 @p544 @p542) :args (@t384)) 15.53/16.08 (step @p548 :rule cnf_and_neg :args (@t382)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p549 :rule trust :premises (@p548 @p547 @p541 @p253) :args ((not @t165))) 15.53/16.08 (step @p550 :rule cnf_equiv_pos2 :args (@t167)) 15.53/16.08 (step @p551 :rule reordering :premises (@p550) :args ((or @t165 @t385 (not @t167)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p552 :rule trust :premises (@p551 @p549 @p105) :args (@t385)) 15.53/16.08 (step @p553 :rule refl :args (@t393)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p554 :rule trust :premises () :args ((= (not @t385) @t166))) 15.53/16.08 (step @p555 :rule nary_cong :premises (@p554 @p553) :args (or)) 15.53/16.08 ; trust MACRO_REWRITE 15.53/16.08 (step @p556 :rule trust :premises () :args ((= (=> @t385 @t395) (=> @t385 @t393)))) 15.53/16.08 (assume-push @p557 @t385) 15.53/16.08 (step @p558 :rule skolemize :premises (@p557)) 15.53/16.08 (step-pop @p815 :rule scope :premises (@p558)) 15.53/16.08 (step @p559 :rule process_scope :premises (@p815) :args (@t395)) 15.53/16.08 (step @p561 :rule eq_resolve :premises (@p559 @p556)) 15.53/16.08 (step @p562 :rule implies_elim :premises (@p561)) 15.53/16.08 (step @p563 :rule eq_resolve :premises (@p562 @p555)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p564 :rule trust :premises (@p563 @p552) :args (@t393)) 15.53/16.08 (step @p565 :rule cnf_or_neg :args (@t392 2)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p566 :rule trust :premises (@p565 @p564) :args (@t396)) 15.53/16.08 (assume-push @p567 @t162) 15.53/16.08 (step @p568 :rule instantiate :premises (@p98) :args ((@list tptp.elt3 @t150 @t178 0 @t153))) 15.53/16.08 (step-pop @p816 :rule scope :premises (@p568)) 15.53/16.08 (step @p569 :rule process_scope :premises (@p816) :args ((= @t249 (forall @t42 (or @t164 @t163 @t300))))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p571 :rule trust :premises (@p569) :args ((=> @t162 @t398))) 15.53/16.08 (step @p572 :rule implies_elim :premises (@p571)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p573 :rule trust :premises (@p572 @p98) :args (@t398)) 15.53/16.08 (step @p574 :rule cnf_and_pos :args (@t250 0)) 15.53/16.08 (step @p575 :rule reordering :premises (@p574) :args ((or @t249 @t252))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p576 :rule trust :premises (@p575 @p166) :args (@t249)) 15.53/16.08 (step @p577 :rule cnf_equiv_pos1 :args (@t398)) 15.53/16.08 (step @p578 :rule reordering :premises (@p577) :args ((or (not @t249) @t397 (not @t398)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p579 :rule trust :premises (@p578 @p576 @p573) :args (@t397)) 15.53/16.08 (assume-push @p580 @t397) 15.53/16.08 (step @p581 :rule instantiate :premises (@p579) :args (@t399)) 15.53/16.08 (step-pop @p817 :rule scope :premises (@p581)) 15.53/16.08 (step @p582 :rule process_scope :premises (@p817) :args ((or @t394 @t389 (= @t400 @t159)))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p584 :rule trust :premises (@p582) :args ((=> @t397 @t402))) 15.53/16.08 (step @p585 :rule implies_elim :premises (@p584)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p586 :rule trust :premises (@p585 @p579) :args (@t402)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p587 :rule trust :premises () :args ((= (not @t391) @t390))) 15.53/16.08 (step @p588 :rule refl :args (@t392)) 15.53/16.08 (step @p589 :rule nary_cong :premises (@p588 @p587) :args (or)) 15.53/16.08 (step @p590 :rule cnf_or_neg :args (@t392 0)) 15.53/16.08 (step @p591 :rule eq_resolve :premises (@p590 @p589)) 15.53/16.08 (step @p592 :rule reordering :premises (@p591) :args ((or @t390 @t392))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p593 :rule trust :premises (@p592 @p564) :args (@t390)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p594 :rule trust :premises () :args ((= (not @t389) @t388))) 15.53/16.08 (step @p595 :rule nary_cong :premises (@p588 @p594) :args (or)) 15.53/16.08 (step @p596 :rule cnf_or_neg :args (@t392 1)) 15.53/16.08 (step @p597 :rule eq_resolve :premises (@p596 @p595)) 15.53/16.08 (step @p598 :rule reordering :premises (@p597) :args ((or @t388 @t392))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p599 :rule trust :premises (@p598 @p564) :args (@t388)) 15.53/16.08 (step @p600 :rule cnf_or_pos :args (@t402)) 15.53/16.08 (step @p601 :rule reordering :premises (@p600) :args ((or @t389 @t391 @t401 (not @t402)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p602 :rule trust :premises (@p601 @p599 @p593 @p586) :args (@t401)) 15.53/16.08 (assume-push @p603 @t162) 15.53/16.08 (step @p604 :rule instantiate :premises (@p98) :args ((@list tptp.elt3 @t178 @t175 0 @t153))) 15.53/16.08 (step-pop @p818 :rule scope :premises (@p604)) 15.53/16.08 (step @p605 :rule process_scope :premises (@p818) :args ((= @t225 (forall @t42 (or @t164 @t163 @t327))))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p607 :rule trust :premises (@p605) :args ((=> @t162 @t404))) 15.53/16.08 (step @p608 :rule implies_elim :premises (@p607)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p609 :rule trust :premises (@p608 @p98) :args (@t404)) 15.53/16.08 (step @p610 :rule cnf_and_pos :args (@t226 0)) 15.53/16.08 (step @p611 :rule reordering :premises (@p610) :args ((or @t225 @t228))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p612 :rule trust :premises (@p611 @p140) :args (@t225)) 15.53/16.08 (step @p613 :rule cnf_equiv_pos1 :args (@t404)) 15.53/16.08 (step @p614 :rule reordering :premises (@p613) :args ((or (not @t225) @t403 (not @t404)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p615 :rule trust :premises (@p614 @p612 @p609) :args (@t403)) 15.53/16.08 (assume-push @p616 @t403) 15.53/16.08 (step @p617 :rule instantiate :premises (@p615) :args (@t399)) 15.53/16.08 (step-pop @p819 :rule scope :premises (@p617)) 15.53/16.08 (step @p618 :rule process_scope :premises (@p819) :args ((or @t394 @t389 @t406))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p620 :rule trust :premises (@p618) :args ((=> @t403 @t407))) 15.53/16.08 (step @p621 :rule implies_elim :premises (@p620)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p622 :rule trust :premises (@p621 @p615) :args (@t407)) 15.53/16.08 (step @p623 :rule cnf_or_pos :args (@t407)) 15.53/16.08 (step @p624 :rule reordering :premises (@p623) :args ((or @t389 @t391 @t406 (not @t407)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p625 :rule trust :premises (@p624 @p599 @p593 @p622) :args (@t406)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p626 :rule trust :premises () :args ((= (not @t412) @t411))) 15.53/16.08 (step @p627 :rule refl :args (@t419)) 15.53/16.08 (step @p628 :rule nary_cong :premises (@p627 @p626) :args (or)) 15.53/16.08 (step @p629 :rule cnf_or_neg :args (@t419 0)) 15.53/16.08 (step @p630 :rule eq_resolve :premises (@p629 @p628)) 15.53/16.08 (step @p631 :rule reordering :premises (@p630) :args ((or @t411 @t419))) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p632 :rule trust :premises () :args ((= (not @t418) @t417))) 15.53/16.08 (step @p633 :rule nary_cong :premises (@p627 @p632) :args (or)) 15.53/16.08 (step @p634 :rule cnf_or_neg :args (@t419 1)) 15.53/16.08 (step @p635 :rule eq_resolve :premises (@p634 @p633)) 15.53/16.08 (step @p636 :rule reordering :premises (@p635) :args ((or @t417 @t419))) 15.53/16.08 (step @p637 :rule cnf_or_neg :args (@t419 2)) 15.53/16.08 (step @p638 :rule cnf_or_pos :args (@t420)) 15.53/16.08 (step @p639 :rule reordering :premises (@p638) :args ((or @t418 @t412 (not @t420)))) 15.53/16.08 (step @p640 :rule cnf_and_pos :args (@t421 0)) 15.53/16.08 (step @p641 :rule reordering :premises (@p640) :args ((or @t420 (not @t421)))) 15.53/16.08 (assume-push @p642 @t191) 15.53/16.08 (step @p643 :rule instantiate :premises (@p374) :args ((@list @t409))) 15.53/16.08 (step-pop @p820 :rule scope :premises (@p643)) 15.53/16.08 (step @p644 :rule process_scope :premises (@p820) :args ((or (and (or @t418 @t423) (or (not (>= (+ @t409 @t188) 0)) (>= (+ @t409 @t187) 0))) @t422))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p646 :rule trust :premises (@p644) :args ((=> @t191 @t424))) 15.53/16.08 (step @p647 :rule implies_elim :premises (@p646)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p648 :rule trust :premises (@p647 @p374) :args (@t424)) 15.53/16.08 (step @p649 :rule cnf_or_pos :args (@t424)) 15.53/16.08 (step @p650 :rule reordering :premises (@p649) :args ((or @t422 @t421 (not @t424)))) 15.53/16.08 (step @p651 :rule instantiate :premises (@p397) :args ((@list @t414))) 15.53/16.08 (step @p652 :rule instantiate :premises (@p33) :args ((@list tptp.int tptp.elt3 @t146 @t413))) 15.53/16.08 (step @p653 :rule cnf_or_pos :args (@t427)) 15.53/16.08 (step @p654 :rule reordering :premises (@p653) :args ((or @t426 @t425 (not @t427)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p655 :rule trust :premises (@p654 @p652 @p651) :args (@t425)) 15.53/16.08 (step @p656 :rule instantiate :premises (@p397) :args ((@list @t415))) 15.53/16.08 (step @p657 :rule instantiate :premises (@p33) :args ((@list tptp.int tptp.elt3 @t175 @t413))) 15.53/16.08 (step @p658 :rule cnf_or_pos :args (@t430)) 15.53/16.08 (step @p659 :rule reordering :premises (@p658) :args ((or @t429 @t428 (not @t430)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p660 :rule trust :premises (@p659 @p657 @p656) :args (@t428)) 15.53/16.08 (assume-push @p661 @t354) 15.53/16.08 (assume-push @p662 @t357) 15.53/16.08 (assume-push @p663 @t422) 15.53/16.08 (assume-push @p664 @t425) 15.53/16.08 (assume-push @p665 @t428) 15.53/16.08 (assume-push @p666 @t425) 15.53/16.08 (assume-push @p667 @t357) 15.53/16.08 (assume-push @p668 @t422) 15.53/16.08 (assume-push @p669 @t354) 15.53/16.08 (assume-push @p670 @t428) 15.53/16.08 (step @p671 :rule symm :premises (@p655)) 15.53/16.08 (step @p672 :rule refl :args (@t413)) 15.53/16.08 (step @p673 :rule cong :premises (@p421 @p420 @p395 @p672) :args (tptp.get)) 15.53/16.08 (step @p674 :rule cong :premises (@p673) :args (tptp.tb2t5)) 15.53/16.08 (step @p675 :rule symm :premises (@p663)) 15.53/16.08 (step @p676 :rule symm :premises (@p675)) 15.53/16.08 (step @p677 :rule trans :premises (@p676 @p674)) 15.53/16.08 (step @p678 :rule cong :premises (@p677) :args (tptp.t2tb5)) 15.53/16.08 (step @p679 :rule cong :premises (@p421 @p420 @p428 @p672) :args (tptp.get)) 15.53/16.08 (step @p680 :rule cong :premises (@p679) :args (tptp.tb2t5)) 15.53/16.08 (step @p681 :rule cong :premises (@p680) :args (tptp.t2tb5)) 15.53/16.08 (step @p682 :rule trans :premises (@p660 @p681 @p678 @p671)) 15.53/16.08 (step-pop @p821 :rule scope :premises (@p682)) 15.53/16.08 (step-pop @p822 :rule scope :premises (@p821)) 15.53/16.08 (step-pop @p823 :rule scope :premises (@p822)) 15.53/16.08 (step-pop @p824 :rule scope :premises (@p823)) 15.53/16.08 (step-pop @p825 :rule scope :premises (@p824)) 15.53/16.08 (step @p683 :rule process_scope :premises (@p825) :args (@t416)) 15.53/16.08 (step @p689 :rule and_intro :premises (@p655 @p395 @p663 @p390 @p660)) 15.53/16.08 (step @p690 :rule modus_ponens :premises (@p689 @p683)) 15.53/16.08 (step-pop @p826 :rule scope :premises (@p690)) 15.53/16.08 (step-pop @p827 :rule scope :premises (@p826)) 15.53/16.08 (step-pop @p828 :rule scope :premises (@p827)) 15.53/16.08 (step-pop @p829 :rule scope :premises (@p828)) 15.53/16.08 (step-pop @p830 :rule scope :premises (@p829)) 15.53/16.08 (step @p691 :rule process_scope :premises (@p830) :args (@t416)) 15.53/16.08 (step @p697 :rule implies_elim :premises (@p691)) 15.53/16.08 (step @p698 :rule cnf_and_neg :args (@t431)) 15.53/16.08 (step @p699 :rule resolution :premises (@p698 @p697) :args (true @t431)) 15.53/16.08 (step @p700 :rule reordering :premises (@p699) :args ((or @t368 @t367 @t416 (not @t422) (not @t425) (not @t428)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p701 :rule trust :premises (@p700 @p660 @p655 @p395 @p390 @p650 @p648 @p641 @p639 @p637 @p636 @p631) :args (@t419)) 15.53/16.08 (step @p702 :rule refl :args (@t432)) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p703 :rule trust :premises () :args ((= (not @t434) @t433))) 15.53/16.08 (step @p704 :rule nary_cong :premises (@p703 @p702) :args (or)) 15.53/16.08 ; trust MACRO_REWRITE 15.53/16.08 (step @p705 :rule trust :premises () :args ((= (=> @t434 @t435) (=> @t434 @t432)))) 15.53/16.08 (assume-push @p706 @t434) 15.53/16.08 (step @p707 :rule skolemize :premises (@p706)) 15.53/16.08 (step-pop @p831 :rule scope :premises (@p707)) 15.53/16.08 (step @p708 :rule process_scope :premises (@p831) :args (@t435)) 15.53/16.08 (step @p710 :rule eq_resolve :premises (@p708 @p705)) 15.53/16.08 (step @p711 :rule implies_elim :premises (@p710)) 15.53/16.08 (step @p712 :rule eq_resolve :premises (@p711 @p704)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p713 :rule trust :premises (@p712 @p701) :args (@t433)) 15.53/16.08 (assume-push @p714 @t433) 15.53/16.08 (step @p715 :rule instantiate :premises (@p714) :args (@t399)) 15.53/16.08 (step-pop @p832 :rule scope :premises (@p715)) 15.53/16.08 (step @p716 :rule process_scope :premises (@p832) :args ((or @t394 @t389 (= @t405 @t386)))) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p718 :rule trust :premises (@p716) :args ((=> @t433 @t437))) 15.53/16.08 (step @p719 :rule implies_elim :premises (@p718)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p720 :rule trust :premises (@p719 @p713) :args (@t437)) 15.53/16.08 (step @p721 :rule cnf_or_pos :args (@t437)) 15.53/16.08 (step @p722 :rule reordering :premises (@p721) :args ((or @t389 @t391 @t436 (not @t437)))) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p723 :rule trust :premises (@p722 @p599 @p593 @p720) :args (@t436)) 15.53/16.08 (step @p724 :rule refl :args ((not @t436))) 15.53/16.08 (step @p725 :rule refl :args ((not @t401))) 15.53/16.08 (step @p726 :rule refl :args ((not @t406))) 15.53/16.08 (step @p727 :rule refl :args ((not @t161))) 15.53/16.08 ; trust MACRO_SR_PRED_INTRO 15.53/16.08 (step @p728 :rule trust :premises () :args ((= (not @t396) @t387))) 15.53/16.08 (step @p729 :rule nary_cong :premises (@p728 @p727 @p726 @p725 @p724) :args (or)) 15.53/16.08 (assume-push @p730 @t161) 15.53/16.08 (assume-push @p731 @t401) 15.53/16.08 (assume-push @p732 @t406) 15.53/16.08 (assume-push @p733 @t436) 15.53/16.08 (assume-push @p734 @t396) 15.53/16.08 (step @p735 :rule symm :premises (@p731)) 15.53/16.08 (step @p736 :rule symm :premises (@p732)) 15.53/16.08 (step @p737 :rule symm :premises (@p733)) 15.53/16.08 (step @p738 :rule symm :premises (@p737)) 15.53/16.08 (step @p739 :rule trans :premises (@p738 @p736 @p735 @p96)) 15.53/16.08 (step @p740 :rule symm :premises (@p739)) 15.53/16.08 (step @p741 :rule trans :premises (@p96 @p740)) 15.53/16.08 (step @p742 :rule true_intro :premises (@p741)) 15.53/16.08 (step @p743 :rule false_intro :premises (@p734)) 15.53/16.08 (step @p744 :rule symm :premises (@p743)) 15.53/16.08 (step @p745 :rule trans :premises (@p744 @p742)) 15.53/16.08 ; trust MACRO_SR_PRED_ELIM 15.53/16.08 (step @p746 false :rule trust :premises (@p745) :args (false)) 15.53/16.08 (step-pop @p833 :rule scope :premises (@p746)) 15.53/16.08 (step-pop @p834 :rule scope :premises (@p833)) 15.53/16.08 (step-pop @p835 :rule scope :premises (@p834)) 15.53/16.08 (step-pop @p836 :rule scope :premises (@p835)) 15.53/16.08 (step-pop @p837 :rule scope :premises (@p836)) 15.53/16.08 (step @p747 :rule process_scope :premises (@p837) :args (false)) 15.53/16.08 (assume-push @p753 @t396) 15.53/16.08 (assume-push @p754 @t161) 15.53/16.08 (assume-push @p755 @t406) 15.53/16.08 (assume-push @p756 @t401) 15.53/16.08 (assume-push @p757 @t436) 15.53/16.08 (step @p758 :rule and_intro :premises (@p96 @p731 @p732 @p733 @p734)) 15.53/16.08 (step-pop @p838 :rule scope :premises (@p758)) 15.53/16.08 (step-pop @p839 :rule scope :premises (@p838)) 15.53/16.08 (step-pop @p840 :rule scope :premises (@p839)) 15.53/16.08 (step-pop @p841 :rule scope :premises (@p840)) 15.53/16.08 (step-pop @p842 :rule scope :premises (@p841)) 15.53/16.08 (step @p759 :rule process_scope :premises (@p842) :args (@t438)) 15.53/16.08 (step @p765 :rule implies_elim :premises (@p759)) 15.53/16.08 (step @p766 :rule resolution :premises (@p765 @p747) :args (true @t438)) 15.53/16.08 (step @p767 :rule not_and :premises (@p766)) 15.53/16.08 (step @p768 :rule eq_resolve :premises (@p767 @p729)) 15.53/16.08 ; trust MACRO_RESOLUTION_TRUST 15.53/16.08 (step @p769 false :rule trust :premises (@p768 @p723 @p625 @p602 @p566 @p96) :args (false)) 15.53/16.08 15.53/16.08 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.b6IRRZigaJ/cvc5---1.0.5_2322.smt2 15.53/16.08 % cvc5---1.0.5 exiting 15.53/16.08 % cvc5---1.0.5 exiting 15.53/16.08 EOF